diff options
| author | scuri <scuri> | 2008-10-17 06:10:15 +0000 |
|---|---|---|
| committer | scuri <scuri> | 2008-10-17 06:10:15 +0000 |
| commit | 5a422aba704c375a307a902bafe658342e209906 (patch) | |
| tree | 5005011e086bb863d8fb587ad3319bbec59b2447 /src/fftw3/rdft | |
First commit - moving from LuaForge to SourceForge
Diffstat (limited to 'src/fftw3/rdft')
158 files changed, 37180 insertions, 0 deletions
diff --git a/src/fftw3/rdft/buffered2.c b/src/fftw3/rdft/buffered2.c new file mode 100644 index 0000000..54fc7bc --- /dev/null +++ b/src/fftw3/rdft/buffered2.c @@ -0,0 +1,418 @@ +/* + * 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 + * + */ + +/* $Id: buffered2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +typedef struct { + int nbuf; + int maxbufsz; + int skew_alignment; + int skew; + const char *nam; +} bufadt; + +typedef struct { + solver super; + const bufadt *adt; +} S; + +typedef struct { + plan_rdft2 super; + + plan *cld, *cldrest; + int n, vl, nbuf, bufdist; + int os, ivs, ovs; + + const S *slv; +} P; + +/***************************************************************************/ + +/* FIXME: have alternate copy functions that push a vector loop inside + the n loops? */ + +/* copy halfcomplex array r (contiguous) to complex (strided) array rio/iio. */ +static void hc2c(int n, R *r, R *rio, R *iio, int os) +{ + int n2 = (n + 1) / 2; + int i; + + rio[0] = r[0]; + iio[0] = 0; + for (i = 1; i < ((n2 - 1) & 3) + 1; ++i) { + rio[i * os] = r[i]; + iio[i * os] = r[n - i]; + } + for (; i < n2; i += 4) { + R r0, r1, r2, r3; + R i0, i1, i2, i3; + r0 = r[i]; + r1 = r[i + 1]; + r2 = r[i + 2]; + r3 = r[i + 3]; + i3 = r[n - (i + 3)]; + i2 = r[n - (i + 2)]; + i1 = r[n - (i + 1)]; + i0 = r[n - i]; + rio[i * os] = r0; + iio[i * os] = i0; + rio[(i + 1) * os] = r1; + iio[(i + 1) * os] = i1; + rio[(i + 2) * os] = r2; + iio[(i + 2) * os] = i2; + rio[(i + 3) * os] = r3; + iio[(i + 3) * os] = i3; + } + if ((n & 1) == 0) { /* store the Nyquist frequency */ + rio[n2 * os] = r[n2]; + iio[n2 * os] = 0.0; + } +} + +/* reverse of hc2c */ +static void c2hc(int n, R *rio, R *iio, int is, R *r) +{ + int n2 = (n + 1) / 2; + int i; + + r[0] = rio[0]; + for (i = 1; i < ((n2 - 1) & 3) + 1; ++i) { + r[i] = rio[i * is]; + r[n - i] = iio[i * is]; + } + for (; i < n2; i += 4) { + R r0, r1, r2, r3; + R i0, i1, i2, i3; + r0 = rio[i * is]; + i0 = iio[i * is]; + r1 = rio[(i + 1) * is]; + i1 = iio[(i + 1) * is]; + r2 = rio[(i + 2) * is]; + i2 = iio[(i + 2) * is]; + r3 = rio[(i + 3) * is]; + i3 = iio[(i + 3) * is]; + r[i] = r0; + r[i + 1] = r1; + r[i + 2] = r2; + r[i + 3] = r3; + r[n - (i + 3)] = i3; + r[n - (i + 2)] = i2; + r[n - (i + 1)] = i1; + r[n - i] = i0; + } + if ((n & 1) == 0) /* store the Nyquist frequency */ + r[n2] = rio[n2 * is]; +} + +/***************************************************************************/ + +static void apply_r2hc(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + plan_rdft *cld = (plan_rdft *) ego->cld; + int i, j, vl = ego->vl, nbuf = ego->nbuf, bufdist = ego->bufdist; + int n = ego->n; + int ivs = ego->ivs, ovs = ego->ovs, os = ego->os; + R *bufs; + + bufs = (R *)MALLOC(sizeof(R) * nbuf * bufdist, BUFFERS); + + for (i = nbuf; i <= vl; i += nbuf) { + /* transform to bufs: */ + cld->apply((plan *) cld, r, bufs); + r += ivs; + + /* copy back */ + for (j = 0; j < nbuf; ++j, rio += ovs, iio += ovs) + hc2c(n, bufs + j*bufdist, rio, iio, os); + } + + /* Do the remaining transforms, if any: */ + { + plan_rdft *cldrest = (plan_rdft *) ego->cldrest; + R *b = bufs; + cldrest->apply((plan *) cldrest, r, bufs); + for (i -= nbuf; i < vl; ++i, rio += ovs, iio += ovs, b += bufdist) + hc2c(n, b, rio, iio, os); + } + + X(ifree)(bufs); +} + +static void apply_hc2r(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + plan_rdft *cld = (plan_rdft *) ego->cld; + int i, j, vl = ego->vl, nbuf = ego->nbuf, bufdist = ego->bufdist; + int n = ego->n; + int ivs = ego->ivs, ovs = ego->ovs, is = ego->os; + R *bufs; + + bufs = (R *)MALLOC(sizeof(R) * nbuf * bufdist, BUFFERS); + + for (i = nbuf; i <= vl; i += nbuf) { + /* copy to bufs */ + for (j = 0; j < nbuf; ++j, rio += ivs, iio += ivs) + c2hc(n, rio, iio, is, bufs + j*bufdist); + + /* transform back: */ + cld->apply((plan *) cld, bufs, r); + r += ovs; + } + + /* Do the remaining transforms, if any: */ + { + plan_rdft *cldrest; + R *b = bufs; + for (i -= nbuf; i < vl; ++i, rio += ivs, iio += ivs, b += bufdist) + c2hc(n, rio, iio, is, b); + cldrest = (plan_rdft *) ego->cldrest; + cldrest->apply((plan *) cldrest, bufs, r); + } + + X(ifree)(bufs); +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + + AWAKE(ego->cld, flg); + AWAKE(ego->cldrest, flg); +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + X(plan_destroy_internal)(ego->cldrest); + X(plan_destroy_internal)(ego->cld); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + p->print(p, "(%s-%s-%d%v/%d-%d%(%p%)%(%p%))", + ego->slv->adt->nam, + ego->super.apply == apply_r2hc ? "r2hc" : "hc2r", + ego->n, ego->nbuf, + ego->vl, ego->bufdist % ego->n, + ego->cld, ego->cldrest); +} + +static int min_nbuf(const problem_rdft2 *p, int n, int vl) +{ + int is, os, ivs, ovs; + + if (p->r != p->rio && p->r != p->iio) + return 1; + if (X(rdft2_inplace_strides(p, RNK_MINFTY))) + return 1; + A(p->vecsz->rnk == 1); /* rank 0 and MINFTY are inplace */ + + X(rdft2_strides)(p->kind, p->sz->dims, &is, &os); + X(rdft2_strides)(p->kind, p->vecsz->dims, &ivs, &ovs); + + /* handle one potentially common case: "contiguous" real and + complex arrays, which overlap because of the differing sizes. */ + if (n * X(iabs)(is) <= X(iabs)(ivs) + && (n/2 + 1) * X(iabs)(os) <= X(iabs)(ovs) + && X(iabs)((int) (p->rio - p->iio)) <= X(iabs)(os) + && ivs > 0 && ovs > 0) { + int vsmin = X(imin)(ivs, ovs); + int vsmax = X(imax)(ivs, ovs); + return(((vsmax - vsmin) * vl + vsmin - 1) / vsmin); + } + + return vl; /* punt: just buffer the whole vector */ +} + +static int compute_nbuf(int n, int vl, const S *ego) +{ + return X(compute_nbuf)(n, vl, ego->adt->nbuf, ego->adt->maxbufsz); +} + +static int toobig(int n, const S *ego) +{ + return (n > ego->adt->maxbufsz); +} + +static int applicable0(const problem *p_, const S *ego, const planner *plnr) +{ + UNUSED(ego); + if (RDFT2P(p_)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + return(p->vecsz->rnk <= 1 && p->sz->rnk == 1 + && !(toobig(p->sz->dims[0].n, ego) && CONSERVE_MEMORYP(plnr))); + } + return 0; +} + +static int applicable(const problem *p_, const S *ego, const planner *plnr) +{ + const problem_rdft2 *p; + + if (NO_BUFFERINGP(plnr)) return 0; + if (!applicable0(p_, ego, plnr)) return 0; + + p = (const problem_rdft2 *) p_; + if (NO_UGLYP(plnr)) { + if (p->r != p->rio && p->r != p->iio) return 0; + if (toobig(p->sz->dims[0].n, ego)) return 0; + } + return 1; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + const bufadt *adt = ego->adt; + P *pln; + plan *cld = (plan *) 0; + plan *cldrest = (plan *) 0; + problem *cldp = 0; + const problem_rdft2 *p = (const problem_rdft2 *) p_; + R *bufs = (R *) 0; + int nbuf = 0, bufdist, n, vl; + int ivs, ovs; + + static const plan_adt padt = { + X(rdft2_solve), awake, print, destroy + }; + + + if (!applicable(p_, ego, plnr)) + goto nada; + + n = p->sz->dims[0].n; + X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs); + + nbuf = X(imax)(compute_nbuf(n, vl, ego), min_nbuf(p, n, vl)); + A(nbuf > 0); + + /* + * Determine BUFDIST, the offset between successive array bufs. + * bufdist = n + skew, where skew is chosen such that bufdist % + * skew_alignment = skew. + */ + if (vl == 1) { + bufdist = n; + } else { + bufdist = + n + ((adt->skew_alignment + adt->skew - n % adt->skew_alignment) + % adt->skew_alignment); + A(p->vecsz->rnk == 1); + } + + /* initial allocation for the purpose of planning */ + bufs = (R *) MALLOC(sizeof(R) * nbuf * bufdist, BUFFERS); + + if (p->kind == R2HC) + cldp = + X(mkproblem_rdft_d)( + X(mktensor_1d)(n, p->sz->dims[0].is, 1), + X(mktensor_1d)(nbuf, ivs, bufdist), + TAINT(p->r, ivs * nbuf), bufs, &p->kind); + else { + A(p->kind == HC2R); + plnr->problem_flags |= DESTROY_INPUT; /* always ok to destroy buf */ + cldp = + X(mkproblem_rdft_d)( + X(mktensor_1d)(n, 1, p->sz->dims[0].os), + X(mktensor_1d)(nbuf, bufdist, ovs), + bufs, TAINT(p->r, ovs * nbuf), &p->kind); + } + if (!(cld = X(mkplan_d)(plnr, cldp))) goto nada; + + /* plan the leftover transforms (cldrest): */ + if (p->kind == R2HC) + cldp = + X(mkproblem_rdft_d)( + X(mktensor_1d)(n, p->sz->dims[0].is, 1), + X(mktensor_1d)(vl % nbuf, ivs, bufdist), + p->r + ivs * (nbuf * (vl / nbuf)), bufs, &p->kind); + else /* HC2R */ + cldp = + X(mkproblem_rdft_d)( + X(mktensor_1d)(n, 1, p->sz->dims[0].os), + X(mktensor_1d)(vl % nbuf, bufdist, ovs), + bufs, p->r + ovs * (nbuf * (vl / nbuf)), &p->kind); + if (!(cldrest = X(mkplan_d)(plnr, cldp))) goto nada; + + /* deallocate buffers, let apply() allocate them for real */ + X(ifree)(bufs); + bufs = 0; + + pln = MKPLAN_RDFT2(P, &padt, p->kind == R2HC ? apply_r2hc : apply_hc2r); + pln->cld = cld; + pln->cldrest = cldrest; + pln->slv = ego; + pln->n = n; + pln->vl = vl; + if (p->kind == R2HC) { + pln->ivs = ivs * nbuf; + pln->ovs = ovs; + pln->os = p->sz->dims[0].os; /* stride of rio/iio */ + } + else { /* HC2R */ + pln->ivs = ivs; + pln->ovs = ovs * nbuf; + pln->os = p->sz->dims[0].is; /* stride of rio/iio */ + } + + + pln->nbuf = nbuf; + pln->bufdist = bufdist; + + X(ops_madd)(vl / nbuf, &cld->ops, &cldrest->ops, + &pln->super.super.ops); + pln->super.super.ops.other += (p->kind == R2HC ? (n + 2) : n) * vl; + + return &(pln->super.super); + + nada: + X(ifree0)(bufs); + X(plan_destroy_internal)(cldrest); + X(plan_destroy_internal)(cld); + return (plan *) 0; +} + +static solver *mksolver(const bufadt *adt) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->adt = adt; + return &(slv->super); +} + +void X(rdft2_buffered_register)(planner *p) +{ + /* FIXME: what are good defaults? */ + static const bufadt adt = { + /* nbuf */ 8, + /* maxbufsz */ (65536 / sizeof(R)), + /* skew_alignment */ 8, + /* skew */ 5, + /* nam */ "rdft2-buffered" + }; + + REGISTER_SOLVER(p, mksolver(&adt)); +} diff --git a/src/fftw3/rdft/codelet-rdft.h b/src/fftw3/rdft/codelet-rdft.h new file mode 100644 index 0000000..27d76a8 --- /dev/null +++ b/src/fftw3/rdft/codelet-rdft.h @@ -0,0 +1,192 @@ +/* + * 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 + * + */ + +/* + * This header file must include every file or define every + * type or macro which is required to compile a codelet. + */ + +#ifndef __RDFT_CODELET_H__ +#define __RDFT_CODELET_H__ + +#include "ifftw.h" + +/************************************************************** + * types of codelets + **************************************************************/ + +/* FOOab, with a,b in {0,1}, denotes the FOO transform + where a/b say whether the input/output are shifted by + half a sample/slot. */ + +typedef enum { + R2HC00, R2HC01, R2HC10, R2HC11, + HC2R00, HC2R01, HC2R10, HC2R11, + DHT, + REDFT00, REDFT01, REDFT10, REDFT11, /* real-even == DCT's */ + RODFT00, RODFT01, RODFT10, RODFT11 /* real-odd == DST's */ +} rdft_kind; + +/* standard R2HC/HC2R transforms are unshifted */ +#define R2HC R2HC00 +#define HC2R HC2R00 + +#define R2HCII R2HC01 +#define HC2RIII HC2R10 + +/* (k) >= R2HC00 produces a warning under gcc because checking x >= 0 + is superfluous for unsigned values...but it is needed because other + compilers (e.g. icc) may define the enum to be a signed int...grrr. */ +#define R2HC_KINDP(k) ((k) >= R2HC00 && (k) <= R2HC11) /* uses kr2hc_genus */ +#define HC2R_KINDP(k) ((k) >= HC2R00 && (k) <= HC2R11) /* uses khc2r_genus */ + +#define R2R_KINDP(k) ((k) >= DHT) /* uses kr2r_genus */ + +#define REDFT_KINDP(k) ((k) >= REDFT00 && (k) <= REDFT11) +#define RODFT_KINDP(k) ((k) >= RODFT00 && (k) <= RODFT11) +#define REODFT_KINDP(k) ((k) >= REDFT00 && (k) <= RODFT11) + +/* real-input DFT codelets */ +typedef struct kr2hc_desc_s kr2hc_desc; + +typedef struct { + int (*okp)( + const kr2hc_desc *desc, + const R *I, const R *ro, const R *io, + int is, int ios, int ros, int vl, int ivs, int ovs); + rdft_kind kind; + int vl; +} kr2hc_genus; + +struct kr2hc_desc_s { + int sz; /* size of transform computed */ + const char *nam; + opcnt ops; + const kr2hc_genus *genus; + int is; + int ros, ios; + int ivs; + int ovs; +}; + +typedef void (*kr2hc) (const R *I, R *ro, R *io, stride is, + stride ros, stride ios, int vl, int ivs, int ovs); +void X(kr2hc_register)(planner *p, kr2hc codelet, const kr2hc_desc *desc); + +/* real-input DFT codelets, type II (middle case of hc2hc DIT) */ +typedef kr2hc_desc kr2hcII_desc; +typedef kr2hc_genus kr2hcII_genus; +typedef kr2hc kr2hcII; +#define kr2hcII_register kr2hc_register + +/* half-complex to half-complex DIT/DIF codelets: */ +typedef struct hc2hc_desc_s hc2hc_desc; + +typedef struct { + int (*okp)( + const struct hc2hc_desc_s *desc, + const R *rio, const R *iio, int ios, int vs, int m, int dist); + rdft_kind kind; + int vl; +} hc2hc_genus; + +struct hc2hc_desc_s { + int radix; + const char *nam; + const tw_instr *tw; + opcnt ops; + const hc2hc_genus *genus; + int s1; + int s2; + int dist; +}; + +typedef const R *(*khc2hc) (R *rioarray, R *iioarray, const R *W, + stride ios, int m, int dist); +void X(khc2hc_dit_register)(planner *p, khc2hc codelet, const hc2hc_desc *desc); + +extern const solvtab X(solvtab_rdft_r2hc); + +/* real-output DFT codelets */ +typedef struct khc2r_desc_s khc2r_desc; + +typedef struct { + int (*okp)( + const khc2r_desc *desc, + const R *ri, const R *ii, const R *O, + int ris, int iis, int os, int vl, int ivs, int ovs); + rdft_kind kind; + int vl; +} khc2r_genus; + +struct khc2r_desc_s { + int sz; /* size of transform computed */ + const char *nam; + opcnt ops; + const khc2r_genus *genus; + int ris, iis; + int os; + int ivs; + int ovs; +}; + +typedef void (*khc2r) (const R *ri, const R *ii, R *O, stride ris, + stride iis, stride os, int vl, int ivs, int ovs); +void X(khc2r_register)(planner *p, khc2r codelet, const khc2r_desc *desc); + +/* real-output DFT codelets, type III (middle case of hc2hc DIF) */ +typedef khc2r_desc khc2rIII_desc; +typedef khc2r_genus khc2rIII_genus; +typedef khc2r khc2rIII; +#define khc2rIII_register khc2r_register + +void X(khc2hc_dif_register)(planner *p, khc2hc codelet, const hc2hc_desc *desc); + +extern const solvtab X(solvtab_rdft_hc2r); + +/* real-input & output DFT-like codelets (DHT, etc.) */ +typedef struct kr2r_desc_s kr2r_desc; + +typedef struct { + int (*okp)( + const kr2r_desc *desc, + const R *I, const R *O, + int is, int os, int vl, int ivs, int ovs); + int vl; +} kr2r_genus; + +struct kr2r_desc_s { + int sz; /* size of transform computed */ + const char *nam; + opcnt ops; + const kr2r_genus *genus; + rdft_kind kind; + int is, os; + int ivs; + int ovs; +}; + +typedef void (*kr2r) (const R *I, R *O, stride is, stride os, + int vl, int ivs, int ovs); +void X(kr2r_register)(planner *p, kr2r codelet, const kr2r_desc *desc); + +extern const solvtab X(solvtab_rdft_r2r); + +#endif /* __RDFT_CODELET_H__ */ diff --git a/src/fftw3/rdft/codelets/hb.h b/src/fftw3/rdft/codelets/hb.h new file mode 100644 index 0000000..bb8f528 --- /dev/null +++ b/src/fftw3/rdft/codelets/hb.h @@ -0,0 +1,23 @@ +/* + * 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 + * + */ + + +#define GENUS X(rdft_hb_genus) +extern const hc2hc_genus GENUS; diff --git a/src/fftw3/rdft/codelets/hc2r.c b/src/fftw3/rdft/codelets/hc2r.c new file mode 100644 index 0000000..7daf21c --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r.c @@ -0,0 +1,44 @@ +/* + * 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 "codelet-rdft.h" +#include "hc2r.h" + +static int okp(const khc2r_desc *d, + const R *ri, const R *ii, + const R *O, + int ris, int iis, int os, int vl, int ivs, int ovs) +{ + UNUSED(ri); UNUSED(ii); UNUSED(O); UNUSED(vl); + return (1 + && (!d->ris || (d->ris == ris)) + && (!d->iis || (d->ris == iis)) + && (!d->os || (d->os == os)) + && (!d->ivs || (d->ivs == ivs)) + && (!d->ovs || (d->ovs == ovs)) + ); +} + +const khc2r_genus GENUS = { okp, HC2R, 1 }; + +#undef GENUS +#include "hc2rIII.h" + +const khc2rIII_genus GENUS = { okp, HC2RIII, 1 }; diff --git a/src/fftw3/rdft/codelets/hc2r.h b/src/fftw3/rdft/codelets/hc2r.h new file mode 100644 index 0000000..3dd17be --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r.h @@ -0,0 +1,23 @@ +/* + * 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 + * + */ + + +#define GENUS X(rdft_hc2r_genus) +extern const khc2r_genus GENUS; diff --git a/src/fftw3/rdft/codelets/hc2r/hb_10.c b/src/fftw3/rdft/codelets/hc2r/hb_10.c new file mode 100644 index 0000000..3d96502 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_10.c @@ -0,0 +1,265 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:33 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 10 -dif -name hb_10 -include hb.h */ + +/* + * This function contains 102 FP additions, 60 FP multiplications, + * (or, 72 additions, 30 multiplications, 30 fused multiply/add), + * 39 stack variables, and 40 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_10(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 18) { + E T3, Tk, Tw, T1w, TO, TP, T1E, T1D, Tr, TX, Ti, T1l, TZ, T10, T1s; + E T1p, T1z, T1B, TL, TS; + { + E T1, T2, Tu, Tv; + T1 = rio[0]; + T2 = iio[-WS(ios, 5)]; + T3 = T1 + T2; + Tk = T1 - T2; + Tu = iio[0]; + Tv = rio[WS(ios, 5)]; + Tw = Tu + Tv; + T1w = Tu - Tv; + } + { + E T6, Tl, Tg, Tp, T9, Tm, Td, To; + { + E T4, T5, Te, Tf; + T4 = rio[WS(ios, 2)]; + T5 = iio[-WS(ios, 7)]; + T6 = T4 + T5; + Tl = T4 - T5; + Te = iio[-WS(ios, 6)]; + Tf = rio[WS(ios, 1)]; + Tg = Te + Tf; + Tp = Te - Tf; + } + { + E T7, T8, Tb, Tc; + T7 = iio[-WS(ios, 8)]; + T8 = rio[WS(ios, 3)]; + T9 = T7 + T8; + Tm = T7 - T8; + Tb = rio[WS(ios, 4)]; + Tc = iio[-WS(ios, 9)]; + Td = Tb + Tc; + To = Tb - Tc; + } + TO = Tl - Tm; + TP = To - Tp; + T1E = Td - Tg; + T1D = T6 - T9; + { + E Tn, Tq, Ta, Th; + Tn = Tl + Tm; + Tq = To + Tp; + Tr = Tn + Tq; + TX = KP559016994 * (Tn - Tq); + Ta = T6 + T9; + Th = Td + Tg; + Ti = Ta + Th; + T1l = KP559016994 * (Ta - Th); + } + } + { + E Tz, T1n, TJ, T1r, TC, T1o, TG, T1q; + { + E Tx, Ty, TH, TI; + Tx = iio[-WS(ios, 2)]; + Ty = rio[WS(ios, 7)]; + Tz = Tx + Ty; + T1n = Tx - Ty; + TH = rio[WS(ios, 6)]; + TI = iio[-WS(ios, 1)]; + TJ = TH + TI; + T1r = TI - TH; + } + { + E TA, TB, TE, TF; + TA = rio[WS(ios, 8)]; + TB = iio[-WS(ios, 3)]; + TC = TA + TB; + T1o = TB - TA; + TE = iio[-WS(ios, 4)]; + TF = rio[WS(ios, 9)]; + TG = TE + TF; + T1q = TE - TF; + } + TZ = Tz + TC; + T10 = TG + TJ; + T1s = T1q - T1r; + T1p = T1n - T1o; + { + E T1x, T1y, TD, TK; + T1x = T1n + T1o; + T1y = T1q + T1r; + T1z = T1x + T1y; + T1B = KP559016994 * (T1x - T1y); + TD = Tz - TC; + TK = TG - TJ; + TL = TD + TK; + TS = KP559016994 * (TD - TK); + } + } + rio[0] = T3 + Ti; + iio[-WS(ios, 9)] = T1w + T1z; + { + E Ts, TM, Tj, Tt; + Ts = Tk + Tr; + TM = Tw + TL; + Tj = W[8]; + Tt = W[9]; + rio[WS(ios, 5)] = FNMS(Tt, TM, Tj * Ts); + iio[-WS(ios, 4)] = FMA(Tt, Ts, Tj * TM); + } + { + E T1t, T1F, T1Q, T1N, T1C, T1R, T1m, T1M, T1A, T1k; + T1t = FNMS(KP951056516, T1s, KP587785252 * T1p); + T1F = FNMS(KP951056516, T1E, KP587785252 * T1D); + T1Q = FMA(KP951056516, T1D, KP587785252 * T1E); + T1N = FMA(KP951056516, T1p, KP587785252 * T1s); + T1A = FNMS(KP250000000, T1z, T1w); + T1C = T1A - T1B; + T1R = T1B + T1A; + T1k = FNMS(KP250000000, Ti, T3); + T1m = T1k - T1l; + T1M = T1l + T1k; + { + E T1u, T1G, T1j, T1v; + T1u = T1m + T1t; + T1G = T1C - T1F; + T1j = W[14]; + T1v = W[15]; + rio[WS(ios, 8)] = FNMS(T1v, T1G, T1j * T1u); + iio[-WS(ios, 1)] = FMA(T1v, T1u, T1j * T1G); + } + { + E T1U, T1W, T1T, T1V; + T1U = T1M + T1N; + T1W = T1R - T1Q; + T1T = W[6]; + T1V = W[7]; + rio[WS(ios, 4)] = FNMS(T1V, T1W, T1T * T1U); + iio[-WS(ios, 5)] = FMA(T1V, T1U, T1T * T1W); + } + { + E T1I, T1K, T1H, T1J; + T1I = T1m - T1t; + T1K = T1F + T1C; + T1H = W[2]; + T1J = W[3]; + rio[WS(ios, 2)] = FNMS(T1J, T1K, T1H * T1I); + iio[-WS(ios, 7)] = FMA(T1J, T1I, T1H * T1K); + } + { + E T1O, T1S, T1L, T1P; + T1O = T1M - T1N; + T1S = T1Q + T1R; + T1L = W[10]; + T1P = W[11]; + rio[WS(ios, 6)] = FNMS(T1P, T1S, T1L * T1O); + iio[-WS(ios, 3)] = FMA(T1P, T1O, T1L * T1S); + } + } + { + E TQ, T11, T1c, T19, TY, T18, TT, T1d, TW, TR; + TQ = FNMS(KP951056516, TP, KP587785252 * TO); + T11 = FNMS(KP951056516, T10, KP587785252 * TZ); + T1c = FMA(KP951056516, TO, KP587785252 * TP); + T19 = FMA(KP951056516, TZ, KP587785252 * T10); + TW = FNMS(KP250000000, Tr, Tk); + TY = TW - TX; + T18 = TX + TW; + TR = FNMS(KP250000000, TL, Tw); + TT = TR - TS; + T1d = TS + TR; + { + E TU, T12, TN, TV; + TU = TQ + TT; + T12 = TY - T11; + TN = W[12]; + TV = W[13]; + iio[-WS(ios, 2)] = FMA(TN, TU, TV * T12); + rio[WS(ios, 7)] = FNMS(TV, TU, TN * T12); + } + { + E T1g, T1i, T1f, T1h; + T1g = T1d - T1c; + T1i = T18 + T19; + T1f = W[16]; + T1h = W[17]; + iio[0] = FMA(T1f, T1g, T1h * T1i); + rio[WS(ios, 9)] = FNMS(T1h, T1g, T1f * T1i); + } + { + E T14, T16, T13, T15; + T14 = TY + T11; + T16 = TT - TQ; + T13 = W[4]; + T15 = W[5]; + rio[WS(ios, 3)] = FNMS(T15, T16, T13 * T14); + iio[-WS(ios, 6)] = FMA(T13, T16, T15 * T14); + } + { + E T1a, T1e, T17, T1b; + T1a = T18 - T19; + T1e = T1c + T1d; + T17 = W[0]; + T1b = W[1]; + rio[WS(ios, 1)] = FNMS(T1b, T1e, T17 * T1a); + iio[-WS(ios, 8)] = FMA(T17, T1e, T1b * T1a); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 10}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 10, "hb_10", twinstr, {72, 30, 30, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_10) (planner *p) { + X(khc2hc_dif_register) (p, hb_10, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_12.c b/src/fftw3/rdft/codelets/hc2r/hb_12.c new file mode 100644 index 0000000..55e7db0 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_12.c @@ -0,0 +1,299 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:36 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 12 -dif -name hb_12 -include hb.h */ + +/* + * This function contains 118 FP additions, 60 FP multiplications, + * (or, 88 additions, 30 multiplications, 30 fused multiply/add), + * 39 stack variables, and 48 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_12(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 22) { + E T5, Tt, T12, T1M, T1i, T1U, Tl, TM, T1c, T1Y, T1s, T1Q, Ta, Ty, T15; + E T1N, T1l, T1V, Tg, TH, T19, T1X, T1p, T1P; + { + E T1, Tp, T4, T1g, Ts, T11, T10, T1h; + T1 = rio[0]; + Tp = iio[0]; + { + E T2, T3, Tq, Tr; + T2 = rio[WS(ios, 4)]; + T3 = iio[-WS(ios, 8)]; + T4 = T2 + T3; + T1g = KP866025403 * (T2 - T3); + Tq = rio[WS(ios, 8)]; + Tr = iio[-WS(ios, 4)]; + Ts = Tq - Tr; + T11 = KP866025403 * (Tq + Tr); + } + T5 = T1 + T4; + Tt = Tp - Ts; + T10 = FNMS(KP500000000, T4, T1); + T12 = T10 - T11; + T1M = T10 + T11; + T1h = FMA(KP500000000, Ts, Tp); + T1i = T1g + T1h; + T1U = T1h - T1g; + } + { + E Th, TL, Tk, T1a, TK, T1r, T1b, T1q; + Th = iio[-WS(ios, 9)]; + TL = rio[WS(ios, 9)]; + { + E Ti, Tj, TI, TJ; + Ti = rio[WS(ios, 1)]; + Tj = rio[WS(ios, 5)]; + Tk = Ti + Tj; + T1a = KP866025403 * (Ti - Tj); + TI = iio[-WS(ios, 5)]; + TJ = iio[-WS(ios, 1)]; + TK = TI + TJ; + T1r = KP866025403 * (TI - TJ); + } + Tl = Th + Tk; + TM = TK - TL; + T1b = FMA(KP500000000, TK, TL); + T1c = T1a - T1b; + T1Y = T1a + T1b; + T1q = FNMS(KP500000000, Tk, Th); + T1s = T1q + T1r; + T1Q = T1q - T1r; + } + { + E T6, Tx, T9, T1j, Tw, T14, T13, T1k; + T6 = iio[-WS(ios, 6)]; + Tx = rio[WS(ios, 6)]; + { + E T7, T8, Tu, Tv; + T7 = iio[-WS(ios, 10)]; + T8 = rio[WS(ios, 2)]; + T9 = T7 + T8; + T1j = KP866025403 * (T7 - T8); + Tu = rio[WS(ios, 10)]; + Tv = iio[-WS(ios, 2)]; + Tw = Tu - Tv; + T14 = KP866025403 * (Tu + Tv); + } + Ta = T6 + T9; + Ty = Tw + Tx; + T13 = FNMS(KP500000000, T9, T6); + T15 = T13 + T14; + T1N = T13 - T14; + T1k = FMS(KP500000000, Tw, Tx); + T1l = T1j + T1k; + T1V = T1k - T1j; + } + { + E Tc, TD, Tf, T17, TG, T1o, T18, T1n; + Tc = rio[WS(ios, 3)]; + TD = iio[-WS(ios, 3)]; + { + E Td, Te, TE, TF; + Td = iio[-WS(ios, 7)]; + Te = iio[-WS(ios, 11)]; + Tf = Td + Te; + T17 = KP866025403 * (Td - Te); + TE = rio[WS(ios, 7)]; + TF = rio[WS(ios, 11)]; + TG = TE + TF; + T1o = KP866025403 * (TE - TF); + } + Tg = Tc + Tf; + TH = TD - TG; + T18 = FMA(KP500000000, TG, TD); + T19 = T17 + T18; + T1X = T18 - T17; + T1n = FNMS(KP500000000, Tf, Tc); + T1p = T1n + T1o; + T1P = T1n - T1o; + } + { + E Tb, Tm, TU, TW, TX, TY, TT, TV; + Tb = T5 + Ta; + Tm = Tg + Tl; + TU = Tb - Tm; + TW = Tt - Ty; + TX = TH + TM; + TY = TW - TX; + rio[0] = Tb + Tm; + iio[-WS(ios, 11)] = TW + TX; + TT = W[10]; + TV = W[11]; + rio[WS(ios, 6)] = FNMS(TV, TY, TT * TU); + iio[-WS(ios, 5)] = FMA(TV, TU, TT * TY); + } + { + E T28, T2g, T2c, T2e; + { + E T26, T27, T2a, T2b; + T26 = T1M - T1N; + T27 = T1X + T1Y; + T28 = T26 - T27; + T2g = T26 + T27; + T2a = T1U - T1V; + T2b = T1P - T1Q; + T2c = T2a + T2b; + T2e = T2a - T2b; + } + { + E T25, T29, T2d, T2f; + T25 = W[8]; + T29 = W[9]; + rio[WS(ios, 5)] = FNMS(T29, T2c, T25 * T28); + iio[-WS(ios, 6)] = FMA(T25, T2c, T29 * T28); + T2d = W[20]; + T2f = W[21]; + iio[0] = FMA(T2d, T2e, T2f * T2g); + rio[WS(ios, 11)] = FNMS(T2f, T2e, T2d * T2g); + } + } + { + E TA, TS, TO, TQ; + { + E To, Tz, TC, TN; + To = Tg - Tl; + Tz = Tt + Ty; + TA = To + Tz; + TS = Tz - To; + TC = T5 - Ta; + TN = TH - TM; + TO = TC - TN; + TQ = TC + TN; + } + { + E Tn, TB, TP, TR; + Tn = W[16]; + TB = W[17]; + iio[-WS(ios, 2)] = FMA(Tn, TA, TB * TO); + rio[WS(ios, 9)] = FNMS(TB, TA, Tn * TO); + TP = W[4]; + TR = W[5]; + rio[WS(ios, 3)] = FNMS(TR, TS, TP * TQ); + iio[-WS(ios, 8)] = FMA(TP, TS, TR * TQ); + } + } + { + E T1S, T22, T20, T24; + { + E T1O, T1R, T1W, T1Z; + T1O = T1M + T1N; + T1R = T1P + T1Q; + T1S = T1O - T1R; + T22 = T1O + T1R; + T1W = T1U + T1V; + T1Z = T1X - T1Y; + T20 = T1W - T1Z; + T24 = T1W + T1Z; + } + { + E T1L, T1T, T21, T23; + T1L = W[2]; + T1T = W[3]; + rio[WS(ios, 2)] = FNMS(T1T, T20, T1L * T1S); + iio[-WS(ios, 9)] = FMA(T1T, T1S, T1L * T20); + T21 = W[14]; + T23 = W[15]; + rio[WS(ios, 8)] = FNMS(T23, T24, T21 * T22); + iio[-WS(ios, 3)] = FMA(T23, T22, T21 * T24); + } + } + { + E T1C, T1I, T1G, T1K; + { + E T1A, T1B, T1E, T1F; + T1A = T12 + T15; + T1B = T1p + T1s; + T1C = T1A - T1B; + T1I = T1A + T1B; + T1E = T1i + T1l; + T1F = T19 + T1c; + T1G = T1E - T1F; + T1K = T1E + T1F; + } + { + E T1z, T1D, T1H, T1J; + T1z = W[18]; + T1D = W[19]; + rio[WS(ios, 10)] = FNMS(T1D, T1G, T1z * T1C); + iio[-WS(ios, 1)] = FMA(T1D, T1C, T1z * T1G); + T1H = W[6]; + T1J = W[7]; + rio[WS(ios, 4)] = FNMS(T1J, T1K, T1H * T1I); + iio[-WS(ios, 7)] = FMA(T1J, T1I, T1H * T1K); + } + } + { + E T1e, T1y, T1u, T1w; + { + E T16, T1d, T1m, T1t; + T16 = T12 - T15; + T1d = T19 - T1c; + T1e = T16 - T1d; + T1y = T16 + T1d; + T1m = T1i - T1l; + T1t = T1p - T1s; + T1u = T1m + T1t; + T1w = T1m - T1t; + } + { + E TZ, T1f, T1v, T1x; + TZ = W[0]; + T1f = W[1]; + rio[WS(ios, 1)] = FNMS(T1f, T1u, TZ * T1e); + iio[-WS(ios, 10)] = FMA(TZ, T1u, T1f * T1e); + T1v = W[12]; + T1x = W[13]; + iio[-WS(ios, 4)] = FMA(T1v, T1w, T1x * T1y); + rio[WS(ios, 7)] = FNMS(T1x, T1w, T1v * T1y); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 12}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 12, "hb_12", twinstr, {88, 30, 30, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_12) (planner *p) { + X(khc2hc_dif_register) (p, hb_12, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_15.c b/src/fftw3/rdft/codelets/hc2r/hb_15.c new file mode 100644 index 0000000..8531f81 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_15.c @@ -0,0 +1,404 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:36 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 15 -dif -name hb_15 -include hb.h */ + +/* + * This function contains 184 FP additions, 112 FP multiplications, + * (or, 128 additions, 56 multiplications, 56 fused multiply/add), + * 75 stack variables, and 60 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_15(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 28) { + E T5, T2N, TV, T25, T1v, T2o, T2W, T38, T37, T2X, T2Q, T2T, T2U, Tg, Tr; + E Ts, Ty, TD, TE, T2c, T2d, T2m, TJ, TO, TP, T1Y, T1Z, T20, T1e, T1j; + E T1p, T13, T18, T1o, T29, T2a, T2l, T21, T22, T23; + { + E T1, T1r, T4, T1u, TU, T1s, TR, T1t; + T1 = rio[0]; + T1r = iio[0]; + { + E T2, T3, TS, TT; + T2 = rio[WS(ios, 5)]; + T3 = iio[-WS(ios, 10)]; + T4 = T2 + T3; + T1u = KP866025403 * (T2 - T3); + TS = rio[WS(ios, 10)]; + TT = iio[-WS(ios, 5)]; + TU = KP866025403 * (TS + TT); + T1s = TS - TT; + } + T5 = T1 + T4; + T2N = T1r - T1s; + TR = FNMS(KP500000000, T4, T1); + TV = TR + TU; + T25 = TR - TU; + T1t = FMA(KP500000000, T1s, T1r); + T1v = T1t - T1u; + T2o = T1u + T1t; + } + { + E Ta, T12, Tu, Tx, T2O, T11, Tf, T14, Tz, TC, T2P, T17, Tl, T1d, TF; + E TI, T2R, T1c, Tq, T1i, TK, TN, T2S, T1h; + { + E T6, T7, T8, T9; + T6 = rio[WS(ios, 3)]; + T7 = iio[-WS(ios, 8)]; + T8 = iio[-WS(ios, 13)]; + T9 = T7 + T8; + Ta = T6 + T9; + T12 = KP866025403 * (T7 - T8); + Tu = FNMS(KP500000000, T9, T6); + } + { + E TZ, Tv, Tw, T10; + TZ = iio[-WS(ios, 3)]; + Tv = rio[WS(ios, 8)]; + Tw = rio[WS(ios, 13)]; + T10 = Tv + Tw; + Tx = KP866025403 * (Tv - Tw); + T2O = TZ - T10; + T11 = FMA(KP500000000, T10, TZ); + } + { + E Tb, Tc, Td, Te; + Tb = iio[-WS(ios, 12)]; + Tc = rio[WS(ios, 2)]; + Td = rio[WS(ios, 7)]; + Te = Tc + Td; + Tf = Tb + Te; + T14 = KP866025403 * (Tc - Td); + Tz = FNMS(KP500000000, Te, Tb); + } + { + E T15, TA, TB, T16; + T15 = rio[WS(ios, 12)]; + TA = iio[-WS(ios, 7)]; + TB = iio[-WS(ios, 2)]; + T16 = TB + TA; + TC = KP866025403 * (TA - TB); + T2P = T16 - T15; + T17 = FMA(KP500000000, T16, T15); + } + { + E Th, Ti, Tj, Tk; + Th = rio[WS(ios, 6)]; + Ti = iio[-WS(ios, 11)]; + Tj = rio[WS(ios, 1)]; + Tk = Ti + Tj; + Tl = Th + Tk; + T1d = KP866025403 * (Ti - Tj); + TF = FNMS(KP500000000, Tk, Th); + } + { + E T1a, TG, TH, T1b; + T1a = iio[-WS(ios, 6)]; + TG = rio[WS(ios, 11)]; + TH = iio[-WS(ios, 1)]; + T1b = TG - TH; + TI = KP866025403 * (TG + TH); + T2R = T1a - T1b; + T1c = FMA(KP500000000, T1b, T1a); + } + { + E Tm, Tn, To, Tp; + Tm = iio[-WS(ios, 9)]; + Tn = iio[-WS(ios, 14)]; + To = rio[WS(ios, 4)]; + Tp = Tn + To; + Tq = Tm + Tp; + T1i = KP866025403 * (Tn - To); + TK = FNMS(KP500000000, Tp, Tm); + } + { + E T1g, TL, TM, T1f; + T1g = rio[WS(ios, 9)]; + TL = rio[WS(ios, 14)]; + TM = iio[-WS(ios, 4)]; + T1f = TL - TM; + TN = KP866025403 * (TL + TM); + T2S = T1f + T1g; + T1h = FMS(KP500000000, T1f, T1g); + } + T2W = Ta - Tf; + T38 = T2R + T2S; + T37 = T2O - T2P; + T2X = Tl - Tq; + T2Q = T2O + T2P; + T2T = T2R - T2S; + T2U = T2Q + T2T; + Tg = Ta + Tf; + Tr = Tl + Tq; + Ts = Tg + Tr; + Ty = Tu - Tx; + TD = Tz - TC; + TE = Ty + TD; + T2c = T1d + T1c; + T2d = T1i + T1h; + T2m = T2c + T2d; + TJ = TF - TI; + TO = TK - TN; + TP = TJ + TO; + T1Y = Tu + Tx; + T1Z = Tz + TC; + T20 = T1Y + T1Z; + T1e = T1c - T1d; + T1j = T1h - T1i; + T1p = T1e + T1j; + T13 = T11 - T12; + T18 = T14 + T17; + T1o = T13 - T18; + T29 = T12 + T11; + T2a = T14 - T17; + T2l = T29 + T2a; + T21 = TF + TI; + T22 = TK + TN; + T23 = T21 + T22; + } + rio[0] = T5 + Ts; + { + E T1l, T1J, T1B, T1M, TY, T1U, T1I, T1y, T1W, T1N, T1T, T1V; + { + E T19, T1k, T1z, T1A; + T19 = T13 + T18; + T1k = T1e - T1j; + T1l = FMA(KP951056516, T19, KP587785252 * T1k); + T1J = FNMS(KP951056516, T1k, KP587785252 * T19); + T1z = Ty - TD; + T1A = TJ - TO; + T1B = FMA(KP951056516, T1z, KP587785252 * T1A); + T1M = FNMS(KP951056516, T1A, KP587785252 * T1z); + } + { + E TQ, TW, TX, T1q, T1w, T1x; + TQ = KP559016994 * (TE - TP); + TW = TE + TP; + TX = FNMS(KP250000000, TW, TV); + TY = TQ + TX; + T1U = TV + TW; + T1I = TX - TQ; + T1q = KP559016994 * (T1o - T1p); + T1w = T1o + T1p; + T1x = FNMS(KP250000000, T1w, T1v); + T1y = T1q + T1x; + T1W = T1v + T1w; + T1N = T1x - T1q; + } + T1T = W[8]; + T1V = W[9]; + rio[WS(ios, 5)] = FNMS(T1V, T1W, T1T * T1U); + iio[-WS(ios, 9)] = FMA(T1V, T1U, T1T * T1W); + { + E T1Q, T1S, T1P, T1R; + T1Q = T1I + T1J; + T1S = T1N - T1M; + T1P = W[14]; + T1R = W[15]; + rio[WS(ios, 8)] = FNMS(T1R, T1S, T1P * T1Q); + iio[-WS(ios, 6)] = FMA(T1R, T1Q, T1P * T1S); + } + { + E T1m, T1C, Tt, T1n; + T1m = TY + T1l; + T1C = T1y - T1B; + Tt = W[26]; + T1n = W[27]; + rio[WS(ios, 14)] = FNMS(T1n, T1C, Tt * T1m); + iio[0] = FMA(T1n, T1m, Tt * T1C); + } + { + E T1E, T1G, T1D, T1F; + T1E = TY - T1l; + T1G = T1B + T1y; + T1D = W[20]; + T1F = W[21]; + rio[WS(ios, 11)] = FNMS(T1F, T1G, T1D * T1E); + iio[-WS(ios, 3)] = FMA(T1F, T1E, T1D * T1G); + } + { + E T1K, T1O, T1H, T1L; + T1K = T1I - T1J; + T1O = T1M + T1N; + T1H = W[2]; + T1L = W[3]; + rio[WS(ios, 2)] = FNMS(T1L, T1O, T1H * T1K); + iio[-WS(ios, 12)] = FMA(T1L, T1K, T1H * T1O); + } + } + iio[-WS(ios, 14)] = T2N + T2U; + { + E T2Y, T39, T3k, T3h, T36, T3g, T31, T3l; + T2Y = FNMS(KP951056516, T2X, KP587785252 * T2W); + T39 = FNMS(KP951056516, T38, KP587785252 * T37); + T3k = FMA(KP951056516, T2W, KP587785252 * T2X); + T3h = FMA(KP951056516, T37, KP587785252 * T38); + { + E T34, T35, T2Z, T30; + T34 = FNMS(KP250000000, Ts, T5); + T35 = KP559016994 * (Tg - Tr); + T36 = T34 - T35; + T3g = T35 + T34; + T2Z = FNMS(KP250000000, T2U, T2N); + T30 = KP559016994 * (T2Q - T2T); + T31 = T2Z - T30; + T3l = T30 + T2Z; + } + { + E T32, T3a, T2V, T33; + T32 = T2Y + T31; + T3a = T36 - T39; + T2V = W[22]; + T33 = W[23]; + iio[-WS(ios, 2)] = FMA(T2V, T32, T33 * T3a); + rio[WS(ios, 12)] = FNMS(T33, T32, T2V * T3a); + } + { + E T3o, T3q, T3n, T3p; + T3o = T3l - T3k; + T3q = T3g + T3h; + T3n = W[16]; + T3p = W[17]; + iio[-WS(ios, 5)] = FMA(T3n, T3o, T3p * T3q); + rio[WS(ios, 9)] = FNMS(T3p, T3o, T3n * T3q); + } + { + E T3c, T3e, T3b, T3d; + T3c = T36 + T39; + T3e = T31 - T2Y; + T3b = W[4]; + T3d = W[5]; + rio[WS(ios, 3)] = FNMS(T3d, T3e, T3b * T3c); + iio[-WS(ios, 11)] = FMA(T3b, T3e, T3d * T3c); + } + { + E T3i, T3m, T3f, T3j; + T3i = T3g - T3h; + T3m = T3k + T3l; + T3f = W[10]; + T3j = W[11]; + rio[WS(ios, 6)] = FNMS(T3j, T3m, T3f * T3i); + iio[-WS(ios, 8)] = FMA(T3f, T3m, T3j * T3i); + } + } + { + E T2f, T2z, T2k, T2D, T28, T2K, T2y, T2r, T2M, T2C, T2J, T2L; + { + E T2b, T2e, T2i, T2j; + T2b = T29 - T2a; + T2e = T2c - T2d; + T2f = FMA(KP951056516, T2b, KP587785252 * T2e); + T2z = FNMS(KP951056516, T2e, KP587785252 * T2b); + T2i = T1Y - T1Z; + T2j = T21 - T22; + T2k = FMA(KP951056516, T2i, KP587785252 * T2j); + T2D = FNMS(KP951056516, T2j, KP587785252 * T2i); + } + { + E T24, T26, T27, T2n, T2p, T2q; + T24 = KP559016994 * (T20 - T23); + T26 = T20 + T23; + T27 = FNMS(KP250000000, T26, T25); + T28 = T24 + T27; + T2K = T25 + T26; + T2y = T27 - T24; + T2n = KP559016994 * (T2l - T2m); + T2p = T2l + T2m; + T2q = FNMS(KP250000000, T2p, T2o); + T2r = T2n + T2q; + T2M = T2o + T2p; + T2C = T2q - T2n; + } + T2J = W[18]; + T2L = W[19]; + rio[WS(ios, 10)] = FNMS(T2L, T2M, T2J * T2K); + iio[-WS(ios, 4)] = FMA(T2L, T2K, T2J * T2M); + { + E T2u, T2w, T2t, T2v; + T2u = T28 + T2f; + T2w = T2r - T2k; + T2t = W[6]; + T2v = W[7]; + rio[WS(ios, 4)] = FNMS(T2v, T2w, T2t * T2u); + iio[-WS(ios, 10)] = FMA(T2v, T2u, T2t * T2w); + } + { + E T2g, T2s, T1X, T2h; + T2g = T28 - T2f; + T2s = T2k + T2r; + T1X = W[0]; + T2h = W[1]; + rio[WS(ios, 1)] = FNMS(T2h, T2s, T1X * T2g); + iio[-WS(ios, 13)] = FMA(T2h, T2g, T1X * T2s); + } + { + E T2A, T2E, T2x, T2B; + T2A = T2y + T2z; + T2E = T2C - T2D; + T2x = W[24]; + T2B = W[25]; + rio[WS(ios, 13)] = FNMS(T2B, T2E, T2x * T2A); + iio[-WS(ios, 1)] = FMA(T2B, T2A, T2x * T2E); + } + { + E T2G, T2I, T2F, T2H; + T2G = T2y - T2z; + T2I = T2D + T2C; + T2F = W[12]; + T2H = W[13]; + rio[WS(ios, 7)] = FNMS(T2H, T2I, T2F * T2G); + iio[-WS(ios, 7)] = FMA(T2H, T2G, T2F * T2I); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 15}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 15, "hb_15", twinstr, {128, 56, 56, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_15) (planner *p) { + X(khc2hc_dif_register) (p, hb_15, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_16.c b/src/fftw3/rdft/codelets/hc2r/hb_16.c new file mode 100644 index 0000000..7fffeb9 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_16.c @@ -0,0 +1,412 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:37 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 16 -dif -name hb_16 -include hb.h */ + +/* + * This function contains 174 FP additions, 84 FP multiplications, + * (or, 136 additions, 46 multiplications, 38 fused multiply/add), + * 50 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_16(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 30) { + E T7, T2K, T30, Tw, T1a, T2e, T2k, T1B, Te, TD, T1C, T13, T2n, T2Z, T2b; + E T2L, Tm, T1v, TN, T10, T1W, T2p, T2P, T2W, Tt, T1w, TW, T11, T23, T2q; + E T2S, T2X; + { + E T3, T2c, T16, T2j, T6, T2i, T19, T2d; + { + E T1, T2, T14, T15; + T1 = rio[0]; + T2 = iio[-WS(ios, 8)]; + T3 = T1 + T2; + T2c = T1 - T2; + T14 = iio[0]; + T15 = rio[WS(ios, 8)]; + T16 = T14 - T15; + T2j = T14 + T15; + } + { + E T4, T5, T17, T18; + T4 = rio[WS(ios, 4)]; + T5 = iio[-WS(ios, 12)]; + T6 = T4 + T5; + T2i = T4 - T5; + T17 = iio[-WS(ios, 4)]; + T18 = rio[WS(ios, 12)]; + T19 = T17 - T18; + T2d = T17 + T18; + } + T7 = T3 + T6; + T2K = T2j - T2i; + T30 = T2c + T2d; + Tw = T3 - T6; + T1a = T16 - T19; + T2e = T2c - T2d; + T2k = T2i + T2j; + T1B = T16 + T19; + } + { + E Ta, T29, Tz, T28, Td, T25, TC, T26; + { + E T8, T9, Tx, Ty; + T8 = rio[WS(ios, 2)]; + T9 = iio[-WS(ios, 10)]; + Ta = T8 + T9; + T29 = T8 - T9; + Tx = iio[-WS(ios, 2)]; + Ty = rio[WS(ios, 10)]; + Tz = Tx - Ty; + T28 = Tx + Ty; + } + { + E Tb, Tc, TA, TB; + Tb = iio[-WS(ios, 14)]; + Tc = rio[WS(ios, 6)]; + Td = Tb + Tc; + T25 = Tb - Tc; + TA = iio[-WS(ios, 6)]; + TB = rio[WS(ios, 14)]; + TC = TA - TB; + T26 = TB + TA; + } + Te = Ta + Td; + TD = Tz - TC; + T1C = Tz + TC; + T13 = Td - Ta; + { + E T2l, T2m, T27, T2a; + T2l = T29 + T28; + T2m = T25 + T26; + T2n = KP707106781 * (T2l - T2m); + T2Z = KP707106781 * (T2l + T2m); + T27 = T25 - T26; + T2a = T28 - T29; + T2b = KP707106781 * (T27 - T2a); + T2L = KP707106781 * (T2a + T27); + } + } + { + E Ti, T1Q, TI, T1U, Tl, T1T, TL, T1R, TF, TM; + { + E Tg, Th, TG, TH; + Tg = rio[WS(ios, 1)]; + Th = iio[-WS(ios, 9)]; + Ti = Tg + Th; + T1Q = Tg - Th; + TG = iio[-WS(ios, 1)]; + TH = rio[WS(ios, 9)]; + TI = TG - TH; + T1U = TG + TH; + } + { + E Tj, Tk, TJ, TK; + Tj = rio[WS(ios, 5)]; + Tk = iio[-WS(ios, 13)]; + Tl = Tj + Tk; + T1T = Tj - Tk; + TJ = iio[-WS(ios, 5)]; + TK = rio[WS(ios, 13)]; + TL = TJ - TK; + T1R = TJ + TK; + } + Tm = Ti + Tl; + T1v = TI + TL; + TF = Ti - Tl; + TM = TI - TL; + TN = TF + TM; + T10 = TM - TF; + { + E T1S, T1V, T2N, T2O; + T1S = T1Q - T1R; + T1V = T1T + T1U; + T1W = FNMS(KP382683432, T1V, KP923879532 * T1S); + T2p = FMA(KP923879532, T1V, KP382683432 * T1S); + T2N = T1U - T1T; + T2O = T1Q + T1R; + T2P = FNMS(KP382683432, T2O, KP923879532 * T2N); + T2W = FMA(KP382683432, T2N, KP923879532 * T2O); + } + } + { + E Tp, T1X, TR, T21, Ts, T20, TU, T1Y, TO, TV; + { + E Tn, To, TP, TQ; + Tn = iio[-WS(ios, 15)]; + To = rio[WS(ios, 7)]; + Tp = Tn + To; + T1X = Tn - To; + TP = iio[-WS(ios, 7)]; + TQ = rio[WS(ios, 15)]; + TR = TP - TQ; + T21 = TQ + TP; + } + { + E Tq, Tr, TS, TT; + Tq = rio[WS(ios, 3)]; + Tr = iio[-WS(ios, 11)]; + Ts = Tq + Tr; + T20 = Tq - Tr; + TS = iio[-WS(ios, 3)]; + TT = rio[WS(ios, 11)]; + TU = TS - TT; + T1Y = TS + TT; + } + Tt = Tp + Ts; + T1w = TU + TR; + TO = Tp - Ts; + TV = TR - TU; + TW = TO - TV; + T11 = TO + TV; + { + E T1Z, T22, T2Q, T2R; + T1Z = T1X - T1Y; + T22 = T20 - T21; + T23 = FMA(KP923879532, T1Z, KP382683432 * T22); + T2q = FNMS(KP382683432, T1Z, KP923879532 * T22); + T2Q = T1X + T1Y; + T2R = T20 + T21; + T2S = FNMS(KP923879532, T2R, KP382683432 * T2Q); + T2X = FMA(KP923879532, T2Q, KP382683432 * T2R); + } + } + { + E Tf, Tu, T1K, T1M, T1N, T1O, T1J, T1L; + Tf = T7 + Te; + Tu = Tm + Tt; + T1K = Tf - Tu; + T1M = T1C + T1B; + T1N = T1v + T1w; + T1O = T1M - T1N; + rio[0] = Tf + Tu; + iio[-WS(ios, 15)] = T1N + T1M; + T1J = W[14]; + T1L = W[15]; + rio[WS(ios, 8)] = FNMS(T1L, T1O, T1J * T1K); + iio[-WS(ios, 7)] = FMA(T1L, T1K, T1J * T1O); + } + { + E T2U, T36, T32, T34; + { + E T2M, T2T, T2Y, T31; + T2M = T2K + T2L; + T2T = T2P + T2S; + T2U = T2M + T2T; + T36 = T2M - T2T; + T2Y = T2W + T2X; + T31 = T2Z + T30; + T32 = T2Y + T31; + T34 = T31 - T2Y; + } + { + E T2J, T2V, T33, T35; + T2J = W[28]; + T2V = W[29]; + iio[0] = FMA(T2J, T2U, T2V * T32); + rio[WS(ios, 15)] = FNMS(T2V, T2U, T2J * T32); + T33 = W[12]; + T35 = W[13]; + rio[WS(ios, 7)] = FNMS(T35, T36, T33 * T34); + iio[-WS(ios, 8)] = FMA(T33, T36, T35 * T34); + } + } + { + E TY, T1e, T1c, T1g; + { + E TE, TX, T12, T1b; + TE = Tw + TD; + TX = KP707106781 * (TN + TW); + TY = TE + TX; + T1e = TE - TX; + T12 = KP707106781 * (T10 + T11); + T1b = T13 + T1a; + T1c = T12 + T1b; + T1g = T1b - T12; + } + { + E Tv, TZ, T1d, T1f; + Tv = W[26]; + TZ = W[27]; + rio[WS(ios, 14)] = FNMS(TZ, T1c, Tv * TY); + iio[-WS(ios, 1)] = FMA(TZ, TY, Tv * T1c); + T1d = W[10]; + T1f = W[11]; + rio[WS(ios, 6)] = FNMS(T1f, T1g, T1d * T1e); + iio[-WS(ios, 9)] = FMA(T1f, T1e, T1d * T1g); + } + } + { + E T2g, T2w, T2s, T2u; + { + E T24, T2f, T2o, T2r; + T24 = T1W + T23; + T2f = T2b + T2e; + T2g = T24 + T2f; + T2w = T2f - T24; + T2o = T2k + T2n; + T2r = T2p + T2q; + T2s = T2o + T2r; + T2u = T2o - T2r; + } + { + E T1P, T2h, T2t, T2v; + T1P = W[0]; + T2h = W[1]; + rio[WS(ios, 1)] = FNMS(T2h, T2s, T1P * T2g); + iio[-WS(ios, 14)] = FMA(T1P, T2s, T2h * T2g); + T2t = W[16]; + T2v = W[17]; + iio[-WS(ios, 6)] = FMA(T2t, T2u, T2v * T2w); + rio[WS(ios, 9)] = FNMS(T2v, T2u, T2t * T2w); + } + } + { + E T1k, T1q, T1o, T1s; + { + E T1i, T1j, T1m, T1n; + T1i = Tw - TD; + T1j = KP707106781 * (T11 - T10); + T1k = T1i + T1j; + T1q = T1i - T1j; + T1m = KP707106781 * (TN - TW); + T1n = T1a - T13; + T1o = T1m + T1n; + T1s = T1n - T1m; + } + { + E T1h, T1l, T1p, T1r; + T1h = W[2]; + T1l = W[3]; + rio[WS(ios, 2)] = FNMS(T1l, T1o, T1h * T1k); + iio[-WS(ios, 13)] = FMA(T1l, T1k, T1h * T1o); + T1p = W[18]; + T1r = W[19]; + rio[WS(ios, 10)] = FNMS(T1r, T1s, T1p * T1q); + iio[-WS(ios, 5)] = FMA(T1r, T1q, T1p * T1s); + } + } + { + E T2A, T2I, T2E, T2G; + { + E T2y, T2z, T2C, T2D; + T2y = T2k - T2n; + T2z = T23 - T1W; + T2A = T2y + T2z; + T2I = T2y - T2z; + T2C = T2p - T2q; + T2D = T2e - T2b; + T2E = T2C + T2D; + T2G = T2D - T2C; + } + { + E T2x, T2B, T2F, T2H; + T2x = W[24]; + T2B = W[25]; + iio[-WS(ios, 2)] = FMA(T2x, T2A, T2B * T2E); + rio[WS(ios, 13)] = FNMS(T2B, T2A, T2x * T2E); + T2F = W[8]; + T2H = W[9]; + rio[WS(ios, 5)] = FNMS(T2H, T2I, T2F * T2G); + iio[-WS(ios, 10)] = FMA(T2F, T2I, T2H * T2G); + } + } + { + E T1y, T1G, T1E, T1I; + { + E T1u, T1x, T1A, T1D; + T1u = T7 - Te; + T1x = T1v - T1w; + T1y = T1u + T1x; + T1G = T1u - T1x; + T1A = Tt - Tm; + T1D = T1B - T1C; + T1E = T1A + T1D; + T1I = T1D - T1A; + } + { + E T1t, T1z, T1F, T1H; + T1t = W[22]; + T1z = W[23]; + rio[WS(ios, 12)] = FNMS(T1z, T1E, T1t * T1y); + iio[-WS(ios, 3)] = FMA(T1z, T1y, T1t * T1E); + T1F = W[6]; + T1H = W[7]; + rio[WS(ios, 4)] = FNMS(T1H, T1I, T1F * T1G); + iio[-WS(ios, 11)] = FMA(T1H, T1G, T1F * T1I); + } + } + { + E T3a, T3i, T3e, T3g; + { + E T38, T39, T3c, T3d; + T38 = T2S - T2P; + T39 = T30 - T2Z; + T3a = T38 + T39; + T3i = T39 - T38; + T3c = T2K - T2L; + T3d = T2W - T2X; + T3e = T3c + T3d; + T3g = T3c - T3d; + } + { + E T37, T3b, T3f, T3h; + T37 = W[4]; + T3b = W[5]; + rio[WS(ios, 3)] = FNMS(T3b, T3e, T37 * T3a); + iio[-WS(ios, 12)] = FMA(T37, T3e, T3b * T3a); + T3f = W[20]; + T3h = W[21]; + iio[-WS(ios, 4)] = FMA(T3f, T3g, T3h * T3i); + rio[WS(ios, 11)] = FNMS(T3h, T3g, T3f * T3i); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 16}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 16, "hb_16", twinstr, {136, 46, 38, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_16) (planner *p) { + X(khc2hc_dif_register) (p, hb_16, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_2.c b/src/fftw3/rdft/codelets/hc2r/hb_2.c new file mode 100644 index 0000000..91740d2 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_2.c @@ -0,0 +1,72 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:22 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 2 -dif -name hb_2 -include hb.h */ + +/* + * This function contains 6 FP additions, 4 FP multiplications, + * (or, 4 additions, 2 multiplications, 2 fused multiply/add), + * 9 stack variables, and 8 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_2.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_2.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_2.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_2(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 2) { + E T1, T2, T6, T3, T4, T8, T5, T7; + T1 = rio[0]; + T2 = iio[-WS(ios, 1)]; + T6 = T1 - T2; + T3 = iio[0]; + T4 = rio[WS(ios, 1)]; + T8 = T3 + T4; + rio[0] = T1 + T2; + iio[-WS(ios, 1)] = T3 - T4; + T5 = W[0]; + T7 = W[1]; + rio[WS(ios, 1)] = FNMS(T7, T8, T5 * T6); + iio[0] = FMA(T7, T6, T5 * T8); + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 2}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 2, "hb_2", twinstr, {4, 2, 2, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_2) (planner *p) { + X(khc2hc_dif_register) (p, hb_2, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_3.c b/src/fftw3/rdft/codelets/hc2r/hb_3.c new file mode 100644 index 0000000..b2362cb --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_3.c @@ -0,0 +1,97 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:22 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 3 -dif -name hb_3 -include hb.h */ + +/* + * This function contains 16 FP additions, 12 FP multiplications, + * (or, 10 additions, 6 multiplications, 6 fused multiply/add), + * 15 stack variables, and 12 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_3(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 4) { + E T1, T4, Ta, Te, T5, T8, Tb, Tf; + { + E T2, T3, T6, T7; + T1 = rio[0]; + T2 = rio[WS(ios, 1)]; + T3 = iio[-WS(ios, 2)]; + T4 = T2 + T3; + Ta = FNMS(KP500000000, T4, T1); + Te = KP866025403 * (T2 - T3); + T5 = iio[0]; + T6 = rio[WS(ios, 2)]; + T7 = iio[-WS(ios, 1)]; + T8 = T6 - T7; + Tb = KP866025403 * (T6 + T7); + Tf = FMA(KP500000000, T8, T5); + } + rio[0] = T1 + T4; + iio[-WS(ios, 2)] = T5 - T8; + { + E Ti, Tk, Th, Tj; + Ti = Tf - Te; + Tk = Ta + Tb; + Th = W[2]; + Tj = W[3]; + iio[0] = FMA(Th, Ti, Tj * Tk); + rio[WS(ios, 2)] = FNMS(Tj, Ti, Th * Tk); + } + { + E Tc, Tg, T9, Td; + Tc = Ta - Tb; + Tg = Te + Tf; + T9 = W[0]; + Td = W[1]; + rio[WS(ios, 1)] = FNMS(Td, Tg, T9 * Tc); + iio[-WS(ios, 1)] = FMA(T9, Tg, Td * Tc); + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 3}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 3, "hb_3", twinstr, {10, 6, 6, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_3) (planner *p) { + X(khc2hc_dif_register) (p, hb_3, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_32.c b/src/fftw3/rdft/codelets/hc2r/hb_32.c new file mode 100644 index 0000000..f3358ab --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_32.c @@ -0,0 +1,890 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:39 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 32 -dif -name hb_32 -include hb.h */ + +/* + * This function contains 434 FP additions, 208 FP multiplications, + * (or, 340 additions, 114 multiplications, 94 fused multiply/add), + * 98 stack variables, and 128 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_32(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 62) { + E T5n, T6y, T77, T5u, Tf, T3i, T5x, T76, T3G, T47, T1a, T2I, T5k, T6z, T2o; + E T2Y, Tu, T3D, T6D, T73, T6G, T74, T1j, T2d, T1s, T2e, T55, T5z, T5c, T5A; + E T3l, T48, TK, T3n, T6L, T7t, T6O, T7s, T1D, T2L, T1M, T2M, T4w, T62, T4D; + E T61, T3q, T41, TZ, T3s, T6S, T7w, T6V, T7v, T1W, T2O, T25, T2P, T4P, T64; + E T4W, T65, T3v, T42; + { + E T3, T5l, T2j, T5t, T6, T5s, T2m, T5m, Ta, T5i, T15, T5h, Td, T5e, T18; + E T5f; + { + E T1, T2, T2h, T2i; + T1 = rio[0]; + T2 = iio[-WS(ios, 16)]; + T3 = T1 + T2; + T5l = T1 - T2; + T2h = iio[0]; + T2i = rio[WS(ios, 16)]; + T2j = T2h - T2i; + T5t = T2h + T2i; + } + { + E T4, T5, T2k, T2l; + T4 = rio[WS(ios, 8)]; + T5 = iio[-WS(ios, 24)]; + T6 = T4 + T5; + T5s = T4 - T5; + T2k = iio[-WS(ios, 8)]; + T2l = rio[WS(ios, 24)]; + T2m = T2k - T2l; + T5m = T2k + T2l; + } + { + E T8, T9, T13, T14; + T8 = rio[WS(ios, 4)]; + T9 = iio[-WS(ios, 20)]; + Ta = T8 + T9; + T5i = T8 - T9; + T13 = iio[-WS(ios, 4)]; + T14 = rio[WS(ios, 20)]; + T15 = T13 - T14; + T5h = T13 + T14; + } + { + E Tb, Tc, T16, T17; + Tb = iio[-WS(ios, 28)]; + Tc = rio[WS(ios, 12)]; + Td = Tb + Tc; + T5e = Tb - Tc; + T16 = iio[-WS(ios, 12)]; + T17 = rio[WS(ios, 28)]; + T18 = T16 - T17; + T5f = T17 + T16; + } + { + E T7, Te, T12, T19; + T5n = T5l - T5m; + T6y = T5t - T5s; + T77 = T5l + T5m; + T5u = T5s + T5t; + T7 = T3 + T6; + Te = Ta + Td; + Tf = T7 + Te; + T3i = T7 - Te; + { + E T5v, T5w, T3E, T3F; + T5v = T5i + T5h; + T5w = T5e + T5f; + T5x = KP707106781 * (T5v - T5w); + T76 = KP707106781 * (T5v + T5w); + T3E = T2j + T2m; + T3F = T15 + T18; + T3G = T3E - T3F; + T47 = T3F + T3E; + } + T12 = T3 - T6; + T19 = T15 - T18; + T1a = T12 + T19; + T2I = T12 - T19; + { + E T5g, T5j, T2g, T2n; + T5g = T5e - T5f; + T5j = T5h - T5i; + T5k = KP707106781 * (T5g - T5j); + T6z = KP707106781 * (T5j + T5g); + T2g = Td - Ta; + T2n = T2j - T2m; + T2o = T2g + T2n; + T2Y = T2n - T2g; + } + } + } + { + E Ti, T4Z, T1e, T53, Tl, T52, T1h, T50, Tp, T56, T1n, T5a, Ts, T59, T1q; + E T57; + { + E Tg, Th, T1c, T1d; + Tg = rio[WS(ios, 2)]; + Th = iio[-WS(ios, 18)]; + Ti = Tg + Th; + T4Z = Tg - Th; + T1c = iio[-WS(ios, 2)]; + T1d = rio[WS(ios, 18)]; + T1e = T1c - T1d; + T53 = T1c + T1d; + } + { + E Tj, Tk, T1f, T1g; + Tj = rio[WS(ios, 10)]; + Tk = iio[-WS(ios, 26)]; + Tl = Tj + Tk; + T52 = Tj - Tk; + T1f = iio[-WS(ios, 10)]; + T1g = rio[WS(ios, 26)]; + T1h = T1f - T1g; + T50 = T1f + T1g; + } + { + E Tn, To, T1l, T1m; + Tn = iio[-WS(ios, 30)]; + To = rio[WS(ios, 14)]; + Tp = Tn + To; + T56 = Tn - To; + T1l = iio[-WS(ios, 14)]; + T1m = rio[WS(ios, 30)]; + T1n = T1l - T1m; + T5a = T1m + T1l; + } + { + E Tq, Tr, T1o, T1p; + Tq = rio[WS(ios, 6)]; + Tr = iio[-WS(ios, 22)]; + Ts = Tq + Tr; + T59 = Tq - Tr; + T1o = iio[-WS(ios, 6)]; + T1p = rio[WS(ios, 22)]; + T1q = T1o - T1p; + T57 = T1o + T1p; + } + { + E Tm, Tt, T6B, T6C; + Tm = Ti + Tl; + Tt = Tp + Ts; + Tu = Tm + Tt; + T3D = Tt - Tm; + T6B = T53 - T52; + T6C = T4Z + T50; + T6D = FNMS(KP382683432, T6C, KP923879532 * T6B); + T73 = FMA(KP382683432, T6B, KP923879532 * T6C); + } + { + E T6E, T6F, T1b, T1i; + T6E = T56 + T57; + T6F = T59 + T5a; + T6G = FNMS(KP923879532, T6F, KP382683432 * T6E); + T74 = FMA(KP923879532, T6E, KP382683432 * T6F); + T1b = Ti - Tl; + T1i = T1e - T1h; + T1j = T1b + T1i; + T2d = T1i - T1b; + } + { + E T1k, T1r, T51, T54; + T1k = Tp - Ts; + T1r = T1n - T1q; + T1s = T1k - T1r; + T2e = T1k + T1r; + T51 = T4Z - T50; + T54 = T52 + T53; + T55 = FNMS(KP382683432, T54, KP923879532 * T51); + T5z = FMA(KP923879532, T54, KP382683432 * T51); + } + { + E T58, T5b, T3j, T3k; + T58 = T56 - T57; + T5b = T59 - T5a; + T5c = FMA(KP923879532, T58, KP382683432 * T5b); + T5A = FNMS(KP382683432, T58, KP923879532 * T5b); + T3j = T1e + T1h; + T3k = T1q + T1n; + T3l = T3j - T3k; + T48 = T3j + T3k; + } + } + { + E Ty, T4t, T1H, T4y, TB, T4x, T1K, T4u, TI, T4B, T1B, T4o, TF, T4A, T1y; + E T4r; + { + E Tw, Tx, T1I, T1J; + Tw = rio[WS(ios, 1)]; + Tx = iio[-WS(ios, 17)]; + Ty = Tw + Tx; + T4t = Tw - Tx; + { + E T1F, T1G, Tz, TA; + T1F = iio[-WS(ios, 1)]; + T1G = rio[WS(ios, 17)]; + T1H = T1F - T1G; + T4y = T1F + T1G; + Tz = rio[WS(ios, 9)]; + TA = iio[-WS(ios, 25)]; + TB = Tz + TA; + T4x = Tz - TA; + } + T1I = iio[-WS(ios, 9)]; + T1J = rio[WS(ios, 25)]; + T1K = T1I - T1J; + T4u = T1I + T1J; + { + E TG, TH, T4m, T1z, T1A, T4n; + TG = iio[-WS(ios, 29)]; + TH = rio[WS(ios, 13)]; + T4m = TG - TH; + T1z = iio[-WS(ios, 13)]; + T1A = rio[WS(ios, 29)]; + T4n = T1A + T1z; + TI = TG + TH; + T4B = T4m + T4n; + T1B = T1z - T1A; + T4o = T4m - T4n; + } + { + E TD, TE, T4q, T1w, T1x, T4p; + TD = rio[WS(ios, 5)]; + TE = iio[-WS(ios, 21)]; + T4q = TD - TE; + T1w = iio[-WS(ios, 5)]; + T1x = rio[WS(ios, 21)]; + T4p = T1w + T1x; + TF = TD + TE; + T4A = T4q + T4p; + T1y = T1w - T1x; + T4r = T4p - T4q; + } + } + { + E TC, TJ, T6J, T6K; + TC = Ty + TB; + TJ = TF + TI; + TK = TC + TJ; + T3n = TC - TJ; + T6J = T4y - T4x; + T6K = KP707106781 * (T4r + T4o); + T6L = T6J + T6K; + T7t = T6J - T6K; + } + { + E T6M, T6N, T1v, T1C; + T6M = KP707106781 * (T4A + T4B); + T6N = T4t + T4u; + T6O = T6M + T6N; + T7s = T6N - T6M; + T1v = Ty - TB; + T1C = T1y - T1B; + T1D = T1v + T1C; + T2L = T1v - T1C; + } + { + E T1E, T1L, T4s, T4v; + T1E = TI - TF; + T1L = T1H - T1K; + T1M = T1E + T1L; + T2M = T1L - T1E; + T4s = KP707106781 * (T4o - T4r); + T4v = T4t - T4u; + T4w = T4s + T4v; + T62 = T4v - T4s; + } + { + E T4z, T4C, T3o, T3p; + T4z = T4x + T4y; + T4C = KP707106781 * (T4A - T4B); + T4D = T4z + T4C; + T61 = T4z - T4C; + T3o = T1H + T1K; + T3p = T1y + T1B; + T3q = T3o - T3p; + T41 = T3p + T3o; + } + } + { + E TN, T4T, T20, T4N, TQ, T4M, T23, T4U, TX, T4Q, T1U, T4K, TU, T4R, T1R; + E T4H; + { + E TL, TM, T21, T22; + TL = iio[-WS(ios, 31)]; + TM = rio[WS(ios, 15)]; + TN = TL + TM; + T4T = TL - TM; + { + E T1Y, T1Z, TO, TP; + T1Y = iio[-WS(ios, 15)]; + T1Z = rio[WS(ios, 31)]; + T20 = T1Y - T1Z; + T4N = T1Z + T1Y; + TO = rio[WS(ios, 7)]; + TP = iio[-WS(ios, 23)]; + TQ = TO + TP; + T4M = TO - TP; + } + T21 = iio[-WS(ios, 7)]; + T22 = rio[WS(ios, 23)]; + T23 = T21 - T22; + T4U = T21 + T22; + { + E TV, TW, T4I, T1S, T1T, T4J; + TV = iio[-WS(ios, 27)]; + TW = rio[WS(ios, 11)]; + T4I = TV - TW; + T1S = iio[-WS(ios, 11)]; + T1T = rio[WS(ios, 27)]; + T4J = T1T + T1S; + TX = TV + TW; + T4Q = T4I - T4J; + T1U = T1S - T1T; + T4K = T4I + T4J; + } + { + E TS, TT, T4F, T1P, T1Q, T4G; + TS = rio[WS(ios, 3)]; + TT = iio[-WS(ios, 19)]; + T4F = TS - TT; + T1P = iio[-WS(ios, 3)]; + T1Q = rio[WS(ios, 19)]; + T4G = T1P + T1Q; + TU = TS + TT; + T4R = T4G - T4F; + T1R = T1P - T1Q; + T4H = T4F + T4G; + } + } + { + E TR, TY, T6Q, T6R; + TR = TN + TQ; + TY = TU + TX; + TZ = TR + TY; + T3s = TR - TY; + T6Q = KP707106781 * (T4R + T4Q); + T6R = T4M + T4N; + T6S = T6Q - T6R; + T7w = T6Q + T6R; + } + { + E T6T, T6U, T1O, T1V; + T6T = KP707106781 * (T4H + T4K); + T6U = T4T + T4U; + T6V = T6T + T6U; + T7v = T6U - T6T; + T1O = TN - TQ; + T1V = T1R - T1U; + T1W = T1O + T1V; + T2O = T1O - T1V; + } + { + E T1X, T24, T4L, T4O; + T1X = TX - TU; + T24 = T20 - T23; + T25 = T1X + T24; + T2P = T24 - T1X; + T4L = KP707106781 * (T4H - T4K); + T4O = T4M - T4N; + T4P = T4L + T4O; + T64 = T4O - T4L; + } + { + E T4S, T4V, T3t, T3u; + T4S = KP707106781 * (T4Q - T4R); + T4V = T4T - T4U; + T4W = T4S + T4V; + T65 = T4V - T4S; + T3t = T20 + T23; + T3u = T1R + T1U; + T3v = T3t - T3u; + T42 = T3u + T3t; + } + } + { + E Tv, T10, T4g, T4i, T4j, T4k, T4f, T4h; + Tv = Tf + Tu; + T10 = TK + TZ; + T4g = Tv - T10; + T4i = T48 + T47; + T4j = T41 + T42; + T4k = T4i - T4j; + rio[0] = Tv + T10; + iio[-WS(ios, 31)] = T4j + T4i; + T4f = W[30]; + T4h = W[31]; + rio[WS(ios, 16)] = FNMS(T4h, T4k, T4f * T4g); + iio[-WS(ios, 15)] = FMA(T4h, T4g, T4f * T4k); + } + { + E T44, T4c, T4a, T4e; + { + E T40, T43, T46, T49; + T40 = Tf - Tu; + T43 = T41 - T42; + T44 = T40 + T43; + T4c = T40 - T43; + T46 = TZ - TK; + T49 = T47 - T48; + T4a = T46 + T49; + T4e = T49 - T46; + } + { + E T3Z, T45, T4b, T4d; + T3Z = W[46]; + T45 = W[47]; + rio[WS(ios, 24)] = FNMS(T45, T4a, T3Z * T44); + iio[-WS(ios, 7)] = FMA(T45, T44, T3Z * T4a); + T4b = W[14]; + T4d = W[15]; + rio[WS(ios, 8)] = FNMS(T4d, T4e, T4b * T4c); + iio[-WS(ios, 23)] = FMA(T4d, T4c, T4b * T4e); + } + } + { + E T3m, T3H, T3T, T3O, T3C, T3P, T3x, T3S; + T3m = T3i + T3l; + T3H = T3D + T3G; + T3T = T3G - T3D; + T3O = T3i - T3l; + { + E T3A, T3B, T3r, T3w; + T3A = T3q - T3n; + T3B = T3s + T3v; + T3C = KP707106781 * (T3A + T3B); + T3P = KP707106781 * (T3B - T3A); + T3r = T3n + T3q; + T3w = T3s - T3v; + T3x = KP707106781 * (T3r + T3w); + T3S = KP707106781 * (T3r - T3w); + } + { + E T3y, T3I, T3h, T3z; + T3y = T3m + T3x; + T3I = T3C + T3H; + T3h = W[54]; + T3z = W[55]; + rio[WS(ios, 28)] = FNMS(T3z, T3I, T3h * T3y); + iio[-WS(ios, 3)] = FMA(T3z, T3y, T3h * T3I); + } + { + E T3W, T3Y, T3V, T3X; + T3W = T3O - T3P; + T3Y = T3T - T3S; + T3V = W[38]; + T3X = W[39]; + rio[WS(ios, 20)] = FNMS(T3X, T3Y, T3V * T3W); + iio[-WS(ios, 11)] = FMA(T3X, T3W, T3V * T3Y); + } + { + E T3K, T3M, T3J, T3L; + T3K = T3m - T3x; + T3M = T3H - T3C; + T3J = W[22]; + T3L = W[23]; + rio[WS(ios, 12)] = FNMS(T3L, T3M, T3J * T3K); + iio[-WS(ios, 19)] = FMA(T3L, T3K, T3J * T3M); + } + { + E T3Q, T3U, T3N, T3R; + T3Q = T3O + T3P; + T3U = T3S + T3T; + T3N = W[6]; + T3R = W[7]; + rio[WS(ios, 4)] = FNMS(T3R, T3U, T3N * T3Q); + iio[-WS(ios, 27)] = FMA(T3R, T3Q, T3N * T3U); + } + } + { + E T2K, T36, T2Z, T3b, T2R, T3a, T2W, T37, T2J, T2X; + T2J = KP707106781 * (T2e - T2d); + T2K = T2I + T2J; + T36 = T2I - T2J; + T2X = KP707106781 * (T1j - T1s); + T2Z = T2X + T2Y; + T3b = T2Y - T2X; + { + E T2N, T2Q, T2U, T2V; + T2N = FNMS(KP382683432, T2M, KP923879532 * T2L); + T2Q = FMA(KP923879532, T2O, KP382683432 * T2P); + T2R = T2N + T2Q; + T3a = T2Q - T2N; + T2U = FMA(KP382683432, T2L, KP923879532 * T2M); + T2V = FNMS(KP382683432, T2O, KP923879532 * T2P); + T2W = T2U + T2V; + T37 = T2U - T2V; + } + { + E T2S, T30, T2H, T2T; + T2S = T2K + T2R; + T30 = T2W + T2Z; + T2H = W[2]; + T2T = W[3]; + rio[WS(ios, 2)] = FNMS(T2T, T30, T2H * T2S); + iio[-WS(ios, 29)] = FMA(T2T, T2S, T2H * T30); + } + { + E T3e, T3g, T3d, T3f; + T3e = T36 - T37; + T3g = T3b - T3a; + T3d = W[18]; + T3f = W[19]; + rio[WS(ios, 10)] = FNMS(T3f, T3g, T3d * T3e); + iio[-WS(ios, 21)] = FMA(T3f, T3e, T3d * T3g); + } + { + E T32, T34, T31, T33; + T32 = T2K - T2R; + T34 = T2Z - T2W; + T31 = W[34]; + T33 = W[35]; + rio[WS(ios, 18)] = FNMS(T33, T34, T31 * T32); + iio[-WS(ios, 13)] = FMA(T33, T32, T31 * T34); + } + { + E T38, T3c, T35, T39; + T38 = T36 + T37; + T3c = T3a + T3b; + T35 = W[50]; + T39 = W[51]; + rio[WS(ios, 26)] = FNMS(T39, T3c, T35 * T38); + iio[-WS(ios, 5)] = FMA(T39, T38, T35 * T3c); + } + } + { + E T1u, T2w, T2p, T2B, T27, T2A, T2c, T2x, T1t, T2f; + T1t = KP707106781 * (T1j + T1s); + T1u = T1a + T1t; + T2w = T1a - T1t; + T2f = KP707106781 * (T2d + T2e); + T2p = T2f + T2o; + T2B = T2o - T2f; + { + E T1N, T26, T2a, T2b; + T1N = FMA(KP923879532, T1D, KP382683432 * T1M); + T26 = FNMS(KP382683432, T25, KP923879532 * T1W); + T27 = T1N + T26; + T2A = T1N - T26; + T2a = FNMS(KP382683432, T1D, KP923879532 * T1M); + T2b = FMA(KP382683432, T1W, KP923879532 * T25); + T2c = T2a + T2b; + T2x = T2b - T2a; + } + { + E T28, T2q, T11, T29; + T28 = T1u + T27; + T2q = T2c + T2p; + T11 = W[58]; + T29 = W[59]; + rio[WS(ios, 30)] = FNMS(T29, T2q, T11 * T28); + iio[-WS(ios, 1)] = FMA(T29, T28, T11 * T2q); + } + { + E T2E, T2G, T2D, T2F; + T2E = T2w - T2x; + T2G = T2B - T2A; + T2D = W[42]; + T2F = W[43]; + rio[WS(ios, 22)] = FNMS(T2F, T2G, T2D * T2E); + iio[-WS(ios, 9)] = FMA(T2F, T2E, T2D * T2G); + } + { + E T2s, T2u, T2r, T2t; + T2s = T1u - T27; + T2u = T2p - T2c; + T2r = W[26]; + T2t = W[27]; + rio[WS(ios, 14)] = FNMS(T2t, T2u, T2r * T2s); + iio[-WS(ios, 17)] = FMA(T2t, T2s, T2r * T2u); + } + { + E T2y, T2C, T2v, T2z; + T2y = T2w + T2x; + T2C = T2A + T2B; + T2v = W[10]; + T2z = W[11]; + rio[WS(ios, 6)] = FNMS(T2z, T2C, T2v * T2y); + iio[-WS(ios, 25)] = FMA(T2z, T2y, T2v * T2C); + } + } + { + E T4Y, T5N, T5F, T5Q, T5p, T5R, T5C, T5M; + { + E T4E, T4X, T5D, T5E; + T4E = FNMS(KP195090322, T4D, KP980785280 * T4w); + T4X = FMA(KP195090322, T4P, KP980785280 * T4W); + T4Y = T4E + T4X; + T5N = T4X - T4E; + T5D = FMA(KP980785280, T4D, KP195090322 * T4w); + T5E = FNMS(KP195090322, T4W, KP980785280 * T4P); + T5F = T5D + T5E; + T5Q = T5D - T5E; + } + { + E T5d, T5o, T5y, T5B; + T5d = T55 + T5c; + T5o = T5k + T5n; + T5p = T5d + T5o; + T5R = T5o - T5d; + T5y = T5u + T5x; + T5B = T5z + T5A; + T5C = T5y + T5B; + T5M = T5y - T5B; + } + { + E T5q, T5G, T4l, T5r; + T5q = T4Y + T5p; + T5G = T5C + T5F; + T4l = W[0]; + T5r = W[1]; + rio[WS(ios, 1)] = FNMS(T5r, T5G, T4l * T5q); + iio[-WS(ios, 30)] = FMA(T4l, T5G, T5r * T5q); + } + { + E T5U, T5W, T5T, T5V; + T5U = T5R - T5Q; + T5W = T5M - T5N; + T5T = W[16]; + T5V = W[17]; + rio[WS(ios, 9)] = FNMS(T5V, T5W, T5T * T5U); + iio[-WS(ios, 22)] = FMA(T5T, T5W, T5V * T5U); + } + { + E T5I, T5K, T5H, T5J; + T5I = T5C - T5F; + T5K = T5p - T4Y; + T5H = W[32]; + T5J = W[33]; + iio[-WS(ios, 14)] = FMA(T5H, T5I, T5J * T5K); + rio[WS(ios, 17)] = FNMS(T5J, T5I, T5H * T5K); + } + { + E T5O, T5S, T5L, T5P; + T5O = T5M + T5N; + T5S = T5Q + T5R; + T5L = W[48]; + T5P = W[49]; + iio[-WS(ios, 6)] = FMA(T5L, T5O, T5P * T5S); + rio[WS(ios, 25)] = FNMS(T5P, T5O, T5L * T5S); + } + } + { + E T60, T6q, T6f, T6n, T67, T6m, T6c, T6r; + { + E T5Y, T5Z, T6d, T6e; + T5Y = T5u - T5x; + T5Z = T5c - T55; + T60 = T5Y + T5Z; + T6q = T5Y - T5Z; + T6d = T5z - T5A; + T6e = T5n - T5k; + T6f = T6d + T6e; + T6n = T6e - T6d; + } + { + E T63, T66, T6a, T6b; + T63 = FNMS(KP555570233, T62, KP831469612 * T61); + T66 = FMA(KP831469612, T64, KP555570233 * T65); + T67 = T63 + T66; + T6m = T66 - T63; + T6a = FMA(KP555570233, T61, KP831469612 * T62); + T6b = FNMS(KP555570233, T64, KP831469612 * T65); + T6c = T6a + T6b; + T6r = T6a - T6b; + } + { + E T68, T6g, T5X, T69; + T68 = T60 + T67; + T6g = T6c + T6f; + T5X = W[56]; + T69 = W[57]; + iio[-WS(ios, 2)] = FMA(T5X, T68, T69 * T6g); + rio[WS(ios, 29)] = FNMS(T69, T68, T5X * T6g); + } + { + E T6u, T6w, T6t, T6v; + T6u = T6q - T6r; + T6w = T6n - T6m; + T6t = W[40]; + T6v = W[41]; + iio[-WS(ios, 10)] = FMA(T6t, T6u, T6v * T6w); + rio[WS(ios, 21)] = FNMS(T6v, T6u, T6t * T6w); + } + { + E T6i, T6k, T6h, T6j; + T6i = T6f - T6c; + T6k = T60 - T67; + T6h = W[24]; + T6j = W[25]; + rio[WS(ios, 13)] = FNMS(T6j, T6k, T6h * T6i); + iio[-WS(ios, 18)] = FMA(T6h, T6k, T6j * T6i); + } + { + E T6o, T6s, T6l, T6p; + T6o = T6m + T6n; + T6s = T6q + T6r; + T6l = W[8]; + T6p = W[9]; + rio[WS(ios, 5)] = FNMS(T6p, T6s, T6l * T6o); + iio[-WS(ios, 26)] = FMA(T6l, T6s, T6p * T6o); + } + } + { + E T7y, T7R, T7J, T7U, T7B, T7V, T7G, T7Q; + { + E T7u, T7x, T7H, T7I; + T7u = FNMS(KP555570233, T7t, KP831469612 * T7s); + T7x = FNMS(KP555570233, T7w, KP831469612 * T7v); + T7y = T7u + T7x; + T7R = T7x - T7u; + T7H = FMA(KP831469612, T7t, KP555570233 * T7s); + T7I = FMA(KP831469612, T7w, KP555570233 * T7v); + T7J = T7H - T7I; + T7U = T7H + T7I; + } + { + E T7z, T7A, T7E, T7F; + T7z = T6G - T6D; + T7A = T77 - T76; + T7B = T7z + T7A; + T7V = T7A - T7z; + T7E = T6y - T6z; + T7F = T73 - T74; + T7G = T7E + T7F; + T7Q = T7E - T7F; + } + { + E T7C, T7K, T7r, T7D; + T7C = T7y + T7B; + T7K = T7G + T7J; + T7r = W[4]; + T7D = W[5]; + rio[WS(ios, 3)] = FNMS(T7D, T7K, T7r * T7C); + iio[-WS(ios, 28)] = FMA(T7r, T7K, T7D * T7C); + } + { + E T7Y, T80, T7X, T7Z; + T7Y = T7V - T7U; + T80 = T7Q - T7R; + T7X = W[20]; + T7Z = W[21]; + rio[WS(ios, 11)] = FNMS(T7Z, T80, T7X * T7Y); + iio[-WS(ios, 20)] = FMA(T7X, T80, T7Z * T7Y); + } + { + E T7M, T7O, T7L, T7N; + T7M = T7G - T7J; + T7O = T7B - T7y; + T7L = W[36]; + T7N = W[37]; + iio[-WS(ios, 12)] = FMA(T7L, T7M, T7N * T7O); + rio[WS(ios, 19)] = FNMS(T7N, T7M, T7L * T7O); + } + { + E T7S, T7W, T7P, T7T; + T7S = T7Q + T7R; + T7W = T7U + T7V; + T7P = W[52]; + T7T = W[53]; + iio[-WS(ios, 4)] = FMA(T7P, T7S, T7T * T7W); + rio[WS(ios, 27)] = FNMS(T7T, T7S, T7P * T7W); + } + } + { + E T6I, T7k, T79, T7h, T6X, T7g, T72, T7l; + { + E T6A, T6H, T75, T78; + T6A = T6y + T6z; + T6H = T6D + T6G; + T6I = T6A + T6H; + T7k = T6A - T6H; + T75 = T73 + T74; + T78 = T76 + T77; + T79 = T75 + T78; + T7h = T78 - T75; + } + { + E T6P, T6W, T70, T71; + T6P = FNMS(KP195090322, T6O, KP980785280 * T6L); + T6W = FMA(KP980785280, T6S, KP195090322 * T6V); + T6X = T6P + T6W; + T7g = T6W - T6P; + T70 = FMA(KP195090322, T6L, KP980785280 * T6O); + T71 = FNMS(KP195090322, T6S, KP980785280 * T6V); + T72 = T70 + T71; + T7l = T70 - T71; + } + { + E T6Y, T7a, T6x, T6Z; + T6Y = T6I + T6X; + T7a = T72 + T79; + T6x = W[60]; + T6Z = W[61]; + iio[0] = FMA(T6x, T6Y, T6Z * T7a); + rio[WS(ios, 31)] = FNMS(T6Z, T6Y, T6x * T7a); + } + { + E T7o, T7q, T7n, T7p; + T7o = T7k - T7l; + T7q = T7h - T7g; + T7n = W[44]; + T7p = W[45]; + iio[-WS(ios, 8)] = FMA(T7n, T7o, T7p * T7q); + rio[WS(ios, 23)] = FNMS(T7p, T7o, T7n * T7q); + } + { + E T7c, T7e, T7b, T7d; + T7c = T79 - T72; + T7e = T6I - T6X; + T7b = W[28]; + T7d = W[29]; + rio[WS(ios, 15)] = FNMS(T7d, T7e, T7b * T7c); + iio[-WS(ios, 16)] = FMA(T7b, T7e, T7d * T7c); + } + { + E T7i, T7m, T7f, T7j; + T7i = T7g + T7h; + T7m = T7k + T7l; + T7f = W[12]; + T7j = W[13]; + rio[WS(ios, 7)] = FNMS(T7j, T7m, T7f * T7i); + iio[-WS(ios, 24)] = FMA(T7f, T7m, T7j * T7i); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 32}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 32, "hb_32", twinstr, {340, 114, 94, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_32) (planner *p) { + X(khc2hc_dif_register) (p, hb_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_4.c b/src/fftw3/rdft/codelets/hc2r/hb_4.c new file mode 100644 index 0000000..ac05b69 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_4.c @@ -0,0 +1,111 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:22 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 4 -dif -name hb_4 -include hb.h */ + +/* + * This function contains 22 FP additions, 12 FP multiplications, + * (or, 16 additions, 6 multiplications, 6 fused multiply/add), + * 13 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_4(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 6) { + E T3, Ti, Tc, Tn, T6, Tm, Tf, Tj; + { + E T1, T2, Ta, Tb; + T1 = rio[0]; + T2 = iio[-WS(ios, 2)]; + T3 = T1 + T2; + Ti = T1 - T2; + Ta = iio[0]; + Tb = rio[WS(ios, 2)]; + Tc = Ta - Tb; + Tn = Ta + Tb; + } + { + E T4, T5, Td, Te; + T4 = rio[WS(ios, 1)]; + T5 = iio[-WS(ios, 3)]; + T6 = T4 + T5; + Tm = T4 - T5; + Td = iio[-WS(ios, 1)]; + Te = rio[WS(ios, 3)]; + Tf = Td - Te; + Tj = Td + Te; + } + rio[0] = T3 + T6; + iio[-WS(ios, 3)] = Tc + Tf; + { + E Tq, Ts, Tp, Tr; + Tq = Tn - Tm; + Ts = Ti + Tj; + Tp = W[4]; + Tr = W[5]; + iio[0] = FMA(Tp, Tq, Tr * Ts); + rio[WS(ios, 3)] = FNMS(Tr, Tq, Tp * Ts); + } + { + E T8, Tg, T7, T9; + T8 = T3 - T6; + Tg = Tc - Tf; + T7 = W[2]; + T9 = W[3]; + rio[WS(ios, 2)] = FNMS(T9, Tg, T7 * T8); + iio[-WS(ios, 1)] = FMA(T9, T8, T7 * Tg); + } + { + E Tk, To, Th, Tl; + Tk = Ti - Tj; + To = Tm + Tn; + Th = W[0]; + Tl = W[1]; + rio[WS(ios, 1)] = FNMS(Tl, To, Th * Tk); + iio[-WS(ios, 2)] = FMA(Th, To, Tl * Tk); + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 4}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 4, "hb_4", twinstr, {16, 6, 6, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_4) (planner *p) { + X(khc2hc_dif_register) (p, hb_4, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_5.c b/src/fftw3/rdft/codelets/hc2r/hb_5.c new file mode 100644 index 0000000..e0af24d --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_5.c @@ -0,0 +1,146 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:23 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 5 -dif -name hb_5 -include hb.h */ + +/* + * This function contains 40 FP additions, 28 FP multiplications, + * (or, 26 additions, 14 multiplications, 14 fused multiply/add), + * 27 stack variables, and 20 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_5(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 8) { + E T1, Tj, TG, Ts, T8, Ti, T9, Tn, TD, Tu, Tg, Tt; + { + E T7, Tr, T4, Tq; + T1 = rio[0]; + { + E T5, T6, T2, T3; + T5 = rio[WS(ios, 2)]; + T6 = iio[-WS(ios, 3)]; + T7 = T5 + T6; + Tr = T5 - T6; + T2 = rio[WS(ios, 1)]; + T3 = iio[-WS(ios, 4)]; + T4 = T2 + T3; + Tq = T2 - T3; + } + Tj = KP559016994 * (T4 - T7); + TG = FMA(KP951056516, Tq, KP587785252 * Tr); + Ts = FNMS(KP951056516, Tr, KP587785252 * Tq); + T8 = T4 + T7; + Ti = FNMS(KP250000000, T8, T1); + } + { + E Tf, Tm, Tc, Tl; + T9 = iio[0]; + { + E Td, Te, Ta, Tb; + Td = iio[-WS(ios, 2)]; + Te = rio[WS(ios, 3)]; + Tf = Td - Te; + Tm = Td + Te; + Ta = iio[-WS(ios, 1)]; + Tb = rio[WS(ios, 4)]; + Tc = Ta - Tb; + Tl = Ta + Tb; + } + Tn = FNMS(KP951056516, Tm, KP587785252 * Tl); + TD = FMA(KP951056516, Tl, KP587785252 * Tm); + Tu = KP559016994 * (Tc - Tf); + Tg = Tc + Tf; + Tt = FNMS(KP250000000, Tg, T9); + } + rio[0] = T1 + T8; + iio[-WS(ios, 4)] = T9 + Tg; + { + E TE, TM, TI, TK, TC, TH; + TC = Tj + Ti; + TE = TC - TD; + TM = TC + TD; + TH = Tu + Tt; + TI = TG + TH; + TK = TH - TG; + { + E TB, TF, TJ, TL; + TB = W[0]; + TF = W[1]; + rio[WS(ios, 1)] = FNMS(TF, TI, TB * TE); + iio[-WS(ios, 3)] = FMA(TB, TI, TF * TE); + TJ = W[6]; + TL = W[7]; + iio[0] = FMA(TJ, TK, TL * TM); + rio[WS(ios, 4)] = FNMS(TL, TK, TJ * TM); + } + } + { + E To, TA, Tw, Ty, Tk, Tv; + Tk = Ti - Tj; + To = Tk - Tn; + TA = Tk + Tn; + Tv = Tt - Tu; + Tw = Ts + Tv; + Ty = Tv - Ts; + { + E Th, Tp, Tx, Tz; + Th = W[2]; + Tp = W[3]; + rio[WS(ios, 2)] = FNMS(Tp, Tw, Th * To); + iio[-WS(ios, 2)] = FMA(Th, Tw, Tp * To); + Tx = W[4]; + Tz = W[5]; + iio[-WS(ios, 1)] = FMA(Tx, Ty, Tz * TA); + rio[WS(ios, 3)] = FNMS(Tz, Ty, Tx * TA); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 5}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 5, "hb_5", twinstr, {26, 14, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_5) (planner *p) { + X(khc2hc_dif_register) (p, hb_5, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_6.c b/src/fftw3/rdft/codelets/hc2r/hb_6.c new file mode 100644 index 0000000..1a24696 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_6.c @@ -0,0 +1,160 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:25 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 6 -dif -name hb_6 -include hb.h */ + +/* + * This function contains 46 FP additions, 28 FP multiplications, + * (or, 32 additions, 14 multiplications, 14 fused multiply/add), + * 25 stack variables, and 24 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_6(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 10) { + E T3, Ty, Tp, TE, Ta, TO, Tm, TB, Tj, TL, Tq, TH; + { + E T1, T2, Tn, To; + T1 = rio[0]; + T2 = iio[-WS(ios, 3)]; + T3 = T1 + T2; + Ty = T1 - T2; + Tn = iio[0]; + To = rio[WS(ios, 3)]; + Tp = Tn - To; + TE = Tn + To; + } + { + E T6, Tz, T9, TA; + { + E T4, T5, T7, T8; + T4 = rio[WS(ios, 2)]; + T5 = iio[-WS(ios, 5)]; + T6 = T4 + T5; + Tz = T4 - T5; + T7 = iio[-WS(ios, 4)]; + T8 = rio[WS(ios, 1)]; + T9 = T7 + T8; + TA = T7 - T8; + } + Ta = T6 + T9; + TO = KP866025403 * (Tz - TA); + Tm = KP866025403 * (T6 - T9); + TB = Tz + TA; + } + { + E Tf, TF, Ti, TG; + { + E Td, Te, Tg, Th; + Td = iio[-WS(ios, 1)]; + Te = rio[WS(ios, 4)]; + Tf = Td - Te; + TF = Te + Td; + Tg = iio[-WS(ios, 2)]; + Th = rio[WS(ios, 5)]; + Ti = Tg - Th; + TG = Tg + Th; + } + Tj = KP866025403 * (Tf - Ti); + TL = KP866025403 * (TF + TG); + Tq = Tf + Ti; + TH = TF - TG; + } + rio[0] = T3 + Ta; + iio[-WS(ios, 5)] = Tp + Tq; + { + E TC, TI, Tx, TD; + TC = Ty + TB; + TI = TE - TH; + Tx = W[4]; + TD = W[5]; + rio[WS(ios, 3)] = FNMS(TD, TI, Tx * TC); + iio[-WS(ios, 2)] = FMA(TD, TC, Tx * TI); + } + { + E Tk, Tu, Ts, Tw, Tc, Tr; + Tc = FNMS(KP500000000, Ta, T3); + Tk = Tc + Tj; + Tu = Tc - Tj; + Tr = FNMS(KP500000000, Tq, Tp); + Ts = Tm + Tr; + Tw = Tr - Tm; + { + E Tb, Tl, Tt, Tv; + Tb = W[6]; + Tl = W[7]; + rio[WS(ios, 4)] = FNMS(Tl, Ts, Tb * Tk); + iio[-WS(ios, 1)] = FMA(Tl, Tk, Tb * Ts); + Tt = W[2]; + Tv = W[3]; + rio[WS(ios, 2)] = FNMS(Tv, Tw, Tt * Tu); + iio[-WS(ios, 3)] = FMA(Tv, Tu, Tt * Tw); + } + } + { + E TM, TU, TQ, TS, TK, TP; + TK = FNMS(KP500000000, TB, Ty); + TM = TK - TL; + TU = TK + TL; + TP = FMA(KP500000000, TH, TE); + TQ = TO + TP; + TS = TP - TO; + { + E TJ, TN, TR, TT; + TJ = W[0]; + TN = W[1]; + rio[WS(ios, 1)] = FNMS(TN, TQ, TJ * TM); + iio[-WS(ios, 4)] = FMA(TJ, TQ, TN * TM); + TR = W[8]; + TT = W[9]; + iio[0] = FMA(TR, TS, TT * TU); + rio[WS(ios, 5)] = FNMS(TT, TS, TR * TU); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 6}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 6, "hb_6", twinstr, {32, 14, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_6) (planner *p) { + X(khc2hc_dif_register) (p, hb_6, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_64.c b/src/fftw3/rdft/codelets/hc2r/hb_64.c new file mode 100644 index 0000000..d3f9afc --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_64.c @@ -0,0 +1,1972 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:42 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 64 -dif -name hb_64 -include hb.h */ + +/* + * This function contains 1038 FP additions, 500 FP multiplications, + * (or, 808 additions, 270 multiplications, 230 fused multiply/add), + * 196 stack variables, and 256 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_64(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 126) { + E Tf, T7i, Tfa, ThM, Tgp, ThH, T2c, T5O, T4T, T6n, Tcp, Ted, TcA, TdE, T87; + E T9o, TK, T93, T2P, T4F, Tfo, Thz, T5T, T6j, Tbx, TdI, Tfl, ThA, T7r, T81; + E TbE, TdH, TZ, T94, T38, T4G, Tfv, ThC, T5W, T6k, TbQ, TdK, Tfs, ThD, T7w; + E T82, TbX, TdL, Tu, T84, Tfh, ThG, Tgm, ThN, T2v, T6m, T4K, T5P, Tce, TdF; + E TcD, Tec, T7l, T9p, T1L, T20, T9c, T9d, T9e, T9f, T40, T66, Tg1, Thu, Tg8; + E Thv, Tg5, Thr, T4n, T67, T4j, T69, T4w, T6a, TaT, TdW, Tb8, TdZ, TfU, Ths; + E T7O, T8y, T7T, T8z, Tbc, TdX, Tbj, Te0, T1g, T1v, T97, T98, T99, T9a, T3j; + E T5Z, TfI, Thk, TfP, Thl, TfM, Tho, T3G, T60, T3C, T62, T3P, T63, Tak, TdQ; + E Tav, TdT, TfB, Thn, T7D, T8v, T7I, T8w, TaD, TdP, TaG, TdS; + { + E T3, Tcm, T4O, Tcv, T6, Tcu, T4R, Tcn, Td, Tcy, T2a, Tch, Ta, Tcx, T27; + E Tck; + { + E T1, T2, T4P, T4Q; + T1 = rio[0]; + T2 = iio[-WS(ios, 32)]; + T3 = T1 + T2; + Tcm = T1 - T2; + { + E T4M, T4N, T4, T5; + T4M = iio[0]; + T4N = rio[WS(ios, 32)]; + T4O = T4M - T4N; + Tcv = T4M + T4N; + T4 = rio[WS(ios, 16)]; + T5 = iio[-WS(ios, 48)]; + T6 = T4 + T5; + Tcu = T4 - T5; + } + T4P = iio[-WS(ios, 16)]; + T4Q = rio[WS(ios, 48)]; + T4R = T4P - T4Q; + Tcn = T4P + T4Q; + { + E Tb, Tc, Tcf, T28, T29, Tcg; + Tb = iio[-WS(ios, 56)]; + Tc = rio[WS(ios, 24)]; + Tcf = Tb - Tc; + T28 = iio[-WS(ios, 24)]; + T29 = rio[WS(ios, 56)]; + Tcg = T29 + T28; + Td = Tb + Tc; + Tcy = Tcf + Tcg; + T2a = T28 - T29; + Tch = Tcf - Tcg; + } + { + E T8, T9, Tcj, T25, T26, Tci; + T8 = rio[WS(ios, 8)]; + T9 = iio[-WS(ios, 40)]; + Tcj = T8 - T9; + T25 = iio[-WS(ios, 8)]; + T26 = rio[WS(ios, 40)]; + Tci = T25 + T26; + Ta = T8 + T9; + Tcx = Tcj + Tci; + T27 = T25 - T26; + Tck = Tci - Tcj; + } + } + { + E T7, Te, Tf8, Tf9; + T7 = T3 + T6; + Te = Ta + Td; + Tf = T7 + Te; + T7i = T7 - Te; + Tf8 = Tcv - Tcu; + Tf9 = KP707106781 * (Tck + Tch); + Tfa = Tf8 + Tf9; + ThM = Tf8 - Tf9; + } + { + E Tgn, Tgo, T24, T2b; + Tgn = KP707106781 * (Tcx + Tcy); + Tgo = Tcm + Tcn; + Tgp = Tgn + Tgo; + ThH = Tgo - Tgn; + T24 = T3 - T6; + T2b = T27 - T2a; + T2c = T24 + T2b; + T5O = T24 - T2b; + } + { + E T4L, T4S, Tcl, Tco; + T4L = Td - Ta; + T4S = T4O - T4R; + T4T = T4L + T4S; + T6n = T4S - T4L; + Tcl = KP707106781 * (Tch - Tck); + Tco = Tcm - Tcn; + Tcp = Tcl + Tco; + Ted = Tco - Tcl; + } + { + E Tcw, Tcz, T85, T86; + Tcw = Tcu + Tcv; + Tcz = KP707106781 * (Tcx - Tcy); + TcA = Tcw + Tcz; + TdE = Tcw - Tcz; + T85 = T4O + T4R; + T86 = T27 + T2a; + T87 = T85 - T86; + T9o = T86 + T85; + } + } + { + E TC, Tby, T2x, Tbu, T2N, Tbz, T7o, Tbv, TJ, TbB, TbC, T2E, T2G, Tbp, Tbs; + E T7p, Tfj, Tfk; + { + E Tw, Tx, Ty, Tz, TA, TB; + Tw = rio[WS(ios, 2)]; + Tx = iio[-WS(ios, 34)]; + Ty = Tw + Tx; + Tz = rio[WS(ios, 18)]; + TA = iio[-WS(ios, 50)]; + TB = Tz + TA; + TC = Ty + TB; + Tby = Tz - TA; + T2x = Ty - TB; + Tbu = Tw - Tx; + } + { + E T2H, T2I, T2J, T2K, T2L, T2M; + T2H = iio[-WS(ios, 2)]; + T2I = rio[WS(ios, 34)]; + T2J = T2H - T2I; + T2K = iio[-WS(ios, 18)]; + T2L = rio[WS(ios, 50)]; + T2M = T2K - T2L; + T2N = T2J - T2M; + Tbz = T2H + T2I; + T7o = T2J + T2M; + Tbv = T2K + T2L; + } + { + E TF, Tbr, T2A, Tbq, TI, Tbn, T2D, Tbo; + { + E TD, TE, T2y, T2z; + TD = rio[WS(ios, 10)]; + TE = iio[-WS(ios, 42)]; + TF = TD + TE; + Tbr = TD - TE; + T2y = iio[-WS(ios, 10)]; + T2z = rio[WS(ios, 42)]; + T2A = T2y - T2z; + Tbq = T2y + T2z; + } + { + E TG, TH, T2B, T2C; + TG = iio[-WS(ios, 58)]; + TH = rio[WS(ios, 26)]; + TI = TG + TH; + Tbn = TG - TH; + T2B = iio[-WS(ios, 26)]; + T2C = rio[WS(ios, 58)]; + T2D = T2B - T2C; + Tbo = T2C + T2B; + } + TJ = TF + TI; + TbB = Tbr + Tbq; + TbC = Tbn + Tbo; + T2E = T2A - T2D; + T2G = TI - TF; + Tbp = Tbn - Tbo; + Tbs = Tbq - Tbr; + T7p = T2A + T2D; + } + TK = TC + TJ; + T93 = T7p + T7o; + { + E T2F, T2O, Tfm, Tfn; + T2F = T2x + T2E; + T2O = T2G + T2N; + T2P = FMA(KP923879532, T2F, KP382683432 * T2O); + T4F = FNMS(KP382683432, T2F, KP923879532 * T2O); + Tfm = KP707106781 * (TbB + TbC); + Tfn = Tbu + Tbv; + Tfo = Tfm + Tfn; + Thz = Tfn - Tfm; + } + { + E T5R, T5S, Tbt, Tbw; + T5R = T2x - T2E; + T5S = T2N - T2G; + T5T = FNMS(KP382683432, T5S, KP923879532 * T5R); + T6j = FMA(KP382683432, T5R, KP923879532 * T5S); + Tbt = KP707106781 * (Tbp - Tbs); + Tbw = Tbu - Tbv; + Tbx = Tbt + Tbw; + TdI = Tbw - Tbt; + } + Tfj = Tbz - Tby; + Tfk = KP707106781 * (Tbs + Tbp); + Tfl = Tfj + Tfk; + ThA = Tfj - Tfk; + { + E T7n, T7q, TbA, TbD; + T7n = TC - TJ; + T7q = T7o - T7p; + T7r = T7n + T7q; + T81 = T7q - T7n; + TbA = Tby + Tbz; + TbD = KP707106781 * (TbB - TbC); + TbE = TbA + TbD; + TdH = TbA - TbD; + } + } + { + E TR, TbU, T2Q, TbN, T36, TbV, T7t, TbO, TY, TbR, TbS, T2X, T2Z, TbI, TbL; + E T7u, Tfq, Tfr; + { + E TL, TM, TN, TO, TP, TQ; + TL = iio[-WS(ios, 62)]; + TM = rio[WS(ios, 30)]; + TN = TL + TM; + TO = rio[WS(ios, 14)]; + TP = iio[-WS(ios, 46)]; + TQ = TO + TP; + TR = TN + TQ; + TbU = TL - TM; + T2Q = TN - TQ; + TbN = TO - TP; + } + { + E T30, T31, T32, T33, T34, T35; + T30 = iio[-WS(ios, 30)]; + T31 = rio[WS(ios, 62)]; + T32 = T30 - T31; + T33 = iio[-WS(ios, 14)]; + T34 = rio[WS(ios, 46)]; + T35 = T33 - T34; + T36 = T32 - T35; + TbV = T33 + T34; + T7t = T32 + T35; + TbO = T31 + T30; + } + { + E TU, TbG, T2T, TbH, TX, TbJ, T2W, TbK; + { + E TS, TT, T2R, T2S; + TS = rio[WS(ios, 6)]; + TT = iio[-WS(ios, 38)]; + TU = TS + TT; + TbG = TS - TT; + T2R = iio[-WS(ios, 6)]; + T2S = rio[WS(ios, 38)]; + T2T = T2R - T2S; + TbH = T2R + T2S; + } + { + E TV, TW, T2U, T2V; + TV = iio[-WS(ios, 54)]; + TW = rio[WS(ios, 22)]; + TX = TV + TW; + TbJ = TV - TW; + T2U = iio[-WS(ios, 22)]; + T2V = rio[WS(ios, 54)]; + T2W = T2U - T2V; + TbK = T2V + T2U; + } + TY = TU + TX; + TbR = TbJ - TbK; + TbS = TbH - TbG; + T2X = T2T - T2W; + T2Z = TX - TU; + TbI = TbG + TbH; + TbL = TbJ + TbK; + T7u = T2T + T2W; + } + TZ = TR + TY; + T94 = T7u + T7t; + { + E T2Y, T37, Tft, Tfu; + T2Y = T2Q + T2X; + T37 = T2Z + T36; + T38 = FNMS(KP382683432, T37, KP923879532 * T2Y); + T4G = FMA(KP382683432, T2Y, KP923879532 * T37); + Tft = KP707106781 * (TbI + TbL); + Tfu = TbU + TbV; + Tfv = Tft + Tfu; + ThC = Tfu - Tft; + } + { + E T5U, T5V, TbM, TbP; + T5U = T2Q - T2X; + T5V = T36 - T2Z; + T5W = FMA(KP923879532, T5U, KP382683432 * T5V); + T6k = FNMS(KP382683432, T5U, KP923879532 * T5V); + TbM = KP707106781 * (TbI - TbL); + TbP = TbN - TbO; + TbQ = TbM + TbP; + TdK = TbP - TbM; + } + Tfq = KP707106781 * (TbS + TbR); + Tfr = TbN + TbO; + Tfs = Tfq - Tfr; + ThD = Tfq + Tfr; + { + E T7s, T7v, TbT, TbW; + T7s = TR - TY; + T7v = T7t - T7u; + T7w = T7s - T7v; + T82 = T7s + T7v; + TbT = KP707106781 * (TbR - TbS); + TbW = TbU - TbV; + TbX = TbT + TbW; + TdL = TbW - TbT; + } + } + { + E Ti, T2g, Tl, T2j, T2d, T2k, Tfc, Tfb, Tc5, Tc2, Tp, T2p, Ts, T2s, T2m; + E T2t, Tff, Tfe, Tcc, Tc9; + { + E Tc0, Tc4, Tc3, Tc1; + { + E Tg, Th, T2e, T2f; + Tg = rio[WS(ios, 4)]; + Th = iio[-WS(ios, 36)]; + Ti = Tg + Th; + Tc0 = Tg - Th; + T2e = iio[-WS(ios, 4)]; + T2f = rio[WS(ios, 36)]; + T2g = T2e - T2f; + Tc4 = T2e + T2f; + } + { + E Tj, Tk, T2h, T2i; + Tj = rio[WS(ios, 20)]; + Tk = iio[-WS(ios, 52)]; + Tl = Tj + Tk; + Tc3 = Tj - Tk; + T2h = iio[-WS(ios, 20)]; + T2i = rio[WS(ios, 52)]; + T2j = T2h - T2i; + Tc1 = T2h + T2i; + } + T2d = Ti - Tl; + T2k = T2g - T2j; + Tfc = Tc0 + Tc1; + Tfb = Tc4 - Tc3; + Tc5 = Tc3 + Tc4; + Tc2 = Tc0 - Tc1; + } + { + E Tc7, Tcb, Tca, Tc8; + { + E Tn, To, T2n, T2o; + Tn = iio[-WS(ios, 60)]; + To = rio[WS(ios, 28)]; + Tp = Tn + To; + Tc7 = Tn - To; + T2n = iio[-WS(ios, 28)]; + T2o = rio[WS(ios, 60)]; + T2p = T2n - T2o; + Tcb = T2o + T2n; + } + { + E Tq, Tr, T2q, T2r; + Tq = rio[WS(ios, 12)]; + Tr = iio[-WS(ios, 44)]; + Ts = Tq + Tr; + Tca = Tq - Tr; + T2q = iio[-WS(ios, 12)]; + T2r = rio[WS(ios, 44)]; + T2s = T2q - T2r; + Tc8 = T2q + T2r; + } + T2m = Tp - Ts; + T2t = T2p - T2s; + Tff = Tca + Tcb; + Tfe = Tc7 + Tc8; + Tcc = Tca - Tcb; + Tc9 = Tc7 - Tc8; + } + { + E Tm, Tt, Tfd, Tfg; + Tm = Ti + Tl; + Tt = Tp + Ts; + Tu = Tm + Tt; + T84 = Tt - Tm; + Tfd = FNMS(KP382683432, Tfc, KP923879532 * Tfb); + Tfg = FNMS(KP923879532, Tff, KP382683432 * Tfe); + Tfh = Tfd + Tfg; + ThG = Tfg - Tfd; + } + { + E Tgk, Tgl, T2l, T2u; + Tgk = FMA(KP382683432, Tfb, KP923879532 * Tfc); + Tgl = FMA(KP923879532, Tfe, KP382683432 * Tff); + Tgm = Tgk + Tgl; + ThN = Tgk - Tgl; + T2l = T2d + T2k; + T2u = T2m - T2t; + T2v = KP707106781 * (T2l + T2u); + T6m = KP707106781 * (T2l - T2u); + } + { + E T4I, T4J, Tc6, Tcd; + T4I = T2k - T2d; + T4J = T2m + T2t; + T4K = KP707106781 * (T4I + T4J); + T5P = KP707106781 * (T4J - T4I); + Tc6 = FNMS(KP382683432, Tc5, KP923879532 * Tc2); + Tcd = FMA(KP923879532, Tc9, KP382683432 * Tcc); + Tce = Tc6 + Tcd; + TdF = Tcd - Tc6; + } + { + E TcB, TcC, T7j, T7k; + TcB = FMA(KP923879532, Tc5, KP382683432 * Tc2); + TcC = FNMS(KP382683432, Tc9, KP923879532 * Tcc); + TcD = TcB + TcC; + Tec = TcB - TcC; + T7j = T2g + T2j; + T7k = T2s + T2p; + T7l = T7j - T7k; + T9p = T7j + T7k; + } + } + { + E T1z, T1C, T1D, Tbg, TaQ, T4r, T4u, T7Q, Tbh, TaR, T1G, T3V, T1J, T3Y, T1K; + E T7R, Tbe, Tbd, TaO, TaL, T1S, TfV, TfW, T41, T48, TaW, TaZ, T7L, T1Z, TfY; + E TfZ, T4a, T4h, Tb3, Tb6, T7M; + { + E T1x, T1y, T1A, T1B; + T1x = iio[-WS(ios, 63)]; + T1y = rio[WS(ios, 31)]; + T1z = T1x + T1y; + T1A = rio[WS(ios, 15)]; + T1B = iio[-WS(ios, 47)]; + T1C = T1A + T1B; + T1D = T1z + T1C; + Tbg = T1x - T1y; + TaQ = T1A - T1B; + } + { + E T4p, T4q, T4s, T4t; + T4p = iio[-WS(ios, 31)]; + T4q = rio[WS(ios, 63)]; + T4r = T4p - T4q; + T4s = iio[-WS(ios, 15)]; + T4t = rio[WS(ios, 47)]; + T4u = T4s - T4t; + T7Q = T4r + T4u; + Tbh = T4s + T4t; + TaR = T4q + T4p; + } + { + E TaJ, TaK, TaM, TaN; + { + E T1E, T1F, T3T, T3U; + T1E = rio[WS(ios, 7)]; + T1F = iio[-WS(ios, 39)]; + T1G = T1E + T1F; + TaJ = T1E - T1F; + T3T = iio[-WS(ios, 7)]; + T3U = rio[WS(ios, 39)]; + T3V = T3T - T3U; + TaK = T3T + T3U; + } + { + E T1H, T1I, T3W, T3X; + T1H = iio[-WS(ios, 55)]; + T1I = rio[WS(ios, 23)]; + T1J = T1H + T1I; + TaM = T1H - T1I; + T3W = iio[-WS(ios, 23)]; + T3X = rio[WS(ios, 55)]; + T3Y = T3W - T3X; + TaN = T3X + T3W; + } + T1K = T1G + T1J; + T7R = T3V + T3Y; + Tbe = TaK - TaJ; + Tbd = TaM - TaN; + TaO = TaM + TaN; + TaL = TaJ + TaK; + } + { + E T1O, TaX, T44, TaV, T1R, TaU, T47, TaY; + { + E T1M, T1N, T42, T43; + T1M = rio[WS(ios, 3)]; + T1N = iio[-WS(ios, 35)]; + T1O = T1M + T1N; + TaX = T1M - T1N; + T42 = iio[-WS(ios, 3)]; + T43 = rio[WS(ios, 35)]; + T44 = T42 - T43; + TaV = T42 + T43; + } + { + E T1P, T1Q, T45, T46; + T1P = rio[WS(ios, 19)]; + T1Q = iio[-WS(ios, 51)]; + T1R = T1P + T1Q; + TaU = T1P - T1Q; + T45 = iio[-WS(ios, 19)]; + T46 = rio[WS(ios, 51)]; + T47 = T45 - T46; + TaY = T45 + T46; + } + T1S = T1O + T1R; + TfV = TaV - TaU; + TfW = TaX + TaY; + T41 = T1O - T1R; + T48 = T44 - T47; + TaW = TaU + TaV; + TaZ = TaX - TaY; + T7L = T44 + T47; + } + { + E T1V, Tb4, T4d, Tb2, T1Y, Tb1, T4g, Tb5; + { + E T1T, T1U, T4b, T4c; + T1T = iio[-WS(ios, 59)]; + T1U = rio[WS(ios, 27)]; + T1V = T1T + T1U; + Tb4 = T1T - T1U; + T4b = iio[-WS(ios, 27)]; + T4c = rio[WS(ios, 59)]; + T4d = T4b - T4c; + Tb2 = T4c + T4b; + } + { + E T1W, T1X, T4e, T4f; + T1W = rio[WS(ios, 11)]; + T1X = iio[-WS(ios, 43)]; + T1Y = T1W + T1X; + Tb1 = T1W - T1X; + T4e = iio[-WS(ios, 11)]; + T4f = rio[WS(ios, 43)]; + T4g = T4e - T4f; + Tb5 = T4e + T4f; + } + T1Z = T1V + T1Y; + TfY = Tb4 + Tb5; + TfZ = Tb1 + Tb2; + T4a = T1V - T1Y; + T4h = T4d - T4g; + Tb3 = Tb1 - Tb2; + Tb6 = Tb4 - Tb5; + T7M = T4g + T4d; + } + T1L = T1D + T1K; + T20 = T1S + T1Z; + T9c = T1L - T20; + T9d = T7R + T7Q; + T9e = T7L + T7M; + T9f = T9d - T9e; + { + E T3S, T3Z, TfX, Tg0; + T3S = T1z - T1C; + T3Z = T3V - T3Y; + T40 = T3S + T3Z; + T66 = T3S - T3Z; + TfX = FNMS(KP382683432, TfW, KP923879532 * TfV); + Tg0 = FNMS(KP923879532, TfZ, KP382683432 * TfY); + Tg1 = TfX + Tg0; + Thu = Tg0 - TfX; + } + { + E Tg6, Tg7, Tg3, Tg4; + Tg6 = KP707106781 * (TaL + TaO); + Tg7 = Tbg + Tbh; + Tg8 = Tg6 + Tg7; + Thv = Tg7 - Tg6; + Tg3 = FMA(KP382683432, TfV, KP923879532 * TfW); + Tg4 = FMA(KP923879532, TfY, KP382683432 * TfZ); + Tg5 = Tg3 + Tg4; + Thr = Tg3 - Tg4; + } + { + E T4l, T4m, T49, T4i; + T4l = T48 - T41; + T4m = T4a + T4h; + T4n = KP707106781 * (T4l + T4m); + T67 = KP707106781 * (T4m - T4l); + T49 = T41 + T48; + T4i = T4a - T4h; + T4j = KP707106781 * (T49 + T4i); + T69 = KP707106781 * (T49 - T4i); + } + { + E T4o, T4v, TaP, TaS; + T4o = T1J - T1G; + T4v = T4r - T4u; + T4w = T4o + T4v; + T6a = T4v - T4o; + TaP = KP707106781 * (TaL - TaO); + TaS = TaQ - TaR; + TaT = TaP + TaS; + TdW = TaS - TaP; + } + { + E Tb0, Tb7, TfS, TfT; + Tb0 = FMA(KP923879532, TaW, KP382683432 * TaZ); + Tb7 = FNMS(KP382683432, Tb6, KP923879532 * Tb3); + Tb8 = Tb0 + Tb7; + TdZ = Tb0 - Tb7; + TfS = KP707106781 * (Tbe + Tbd); + TfT = TaQ + TaR; + TfU = TfS - TfT; + Ths = TfS + TfT; + } + { + E T7K, T7N, T7P, T7S; + T7K = T1D - T1K; + T7N = T7L - T7M; + T7O = T7K + T7N; + T8y = T7K - T7N; + T7P = T1Z - T1S; + T7S = T7Q - T7R; + T7T = T7P + T7S; + T8z = T7S - T7P; + } + { + E Tba, Tbb, Tbf, Tbi; + Tba = FNMS(KP382683432, TaW, KP923879532 * TaZ); + Tbb = FMA(KP923879532, Tb6, KP382683432 * Tb3); + Tbc = Tba + Tbb; + TdX = Tbb - Tba; + Tbf = KP707106781 * (Tbd - Tbe); + Tbi = Tbg - Tbh; + Tbj = Tbf + Tbi; + Te0 = Tbi - Tbf; + } + } + { + E T14, T17, T18, Tax, Tas, T3K, T3N, T7F, Tay, Tat, T1b, T3e, T1e, T3h, T1f; + E T7G, TaB, TaA, Taq, Tan, T1n, TfC, TfD, T3k, T3r, Ta8, Tab, T7A, T1u, TfF; + E TfG, T3t, T3A, Taf, Tai, T7B; + { + E T12, T13, T15, T16; + T12 = rio[WS(ios, 1)]; + T13 = iio[-WS(ios, 33)]; + T14 = T12 + T13; + T15 = rio[WS(ios, 17)]; + T16 = iio[-WS(ios, 49)]; + T17 = T15 + T16; + T18 = T14 + T17; + Tax = T15 - T16; + Tas = T12 - T13; + } + { + E T3I, T3J, T3L, T3M; + T3I = iio[-WS(ios, 1)]; + T3J = rio[WS(ios, 33)]; + T3K = T3I - T3J; + T3L = iio[-WS(ios, 17)]; + T3M = rio[WS(ios, 49)]; + T3N = T3L - T3M; + T7F = T3K + T3N; + Tay = T3I + T3J; + Tat = T3L + T3M; + } + { + E Tap, Tao, Tal, Tam; + { + E T19, T1a, T3c, T3d; + T19 = rio[WS(ios, 9)]; + T1a = iio[-WS(ios, 41)]; + T1b = T19 + T1a; + Tap = T19 - T1a; + T3c = iio[-WS(ios, 9)]; + T3d = rio[WS(ios, 41)]; + T3e = T3c - T3d; + Tao = T3c + T3d; + } + { + E T1c, T1d, T3f, T3g; + T1c = iio[-WS(ios, 57)]; + T1d = rio[WS(ios, 25)]; + T1e = T1c + T1d; + Tal = T1c - T1d; + T3f = iio[-WS(ios, 25)]; + T3g = rio[WS(ios, 57)]; + T3h = T3f - T3g; + Tam = T3g + T3f; + } + T1f = T1b + T1e; + T7G = T3e + T3h; + TaB = Tal + Tam; + TaA = Tap + Tao; + Taq = Tao - Tap; + Tan = Tal - Tam; + } + { + E T1j, Ta6, T3n, Taa, T1m, Ta9, T3q, Ta7; + { + E T1h, T1i, T3l, T3m; + T1h = rio[WS(ios, 5)]; + T1i = iio[-WS(ios, 37)]; + T1j = T1h + T1i; + Ta6 = T1h - T1i; + T3l = iio[-WS(ios, 5)]; + T3m = rio[WS(ios, 37)]; + T3n = T3l - T3m; + Taa = T3l + T3m; + } + { + E T1k, T1l, T3o, T3p; + T1k = rio[WS(ios, 21)]; + T1l = iio[-WS(ios, 53)]; + T1m = T1k + T1l; + Ta9 = T1k - T1l; + T3o = iio[-WS(ios, 21)]; + T3p = rio[WS(ios, 53)]; + T3q = T3o - T3p; + Ta7 = T3o + T3p; + } + T1n = T1j + T1m; + TfC = Taa - Ta9; + TfD = Ta6 + Ta7; + T3k = T1j - T1m; + T3r = T3n - T3q; + Ta8 = Ta6 - Ta7; + Tab = Ta9 + Taa; + T7A = T3n + T3q; + } + { + E T1q, Tad, T3w, Tah, T1t, Tag, T3z, Tae; + { + E T1o, T1p, T3u, T3v; + T1o = iio[-WS(ios, 61)]; + T1p = rio[WS(ios, 29)]; + T1q = T1o + T1p; + Tad = T1o - T1p; + T3u = iio[-WS(ios, 29)]; + T3v = rio[WS(ios, 61)]; + T3w = T3u - T3v; + Tah = T3v + T3u; + } + { + E T1r, T1s, T3x, T3y; + T1r = rio[WS(ios, 13)]; + T1s = iio[-WS(ios, 45)]; + T1t = T1r + T1s; + Tag = T1r - T1s; + T3x = iio[-WS(ios, 13)]; + T3y = rio[WS(ios, 45)]; + T3z = T3x - T3y; + Tae = T3x + T3y; + } + T1u = T1q + T1t; + TfF = Tad + Tae; + TfG = Tag + Tah; + T3t = T1q - T1t; + T3A = T3w - T3z; + Taf = Tad - Tae; + Tai = Tag - Tah; + T7B = T3z + T3w; + } + T1g = T18 + T1f; + T1v = T1n + T1u; + T97 = T1g - T1v; + T98 = T7G + T7F; + T99 = T7A + T7B; + T9a = T98 - T99; + { + E T3b, T3i, TfE, TfH; + T3b = T14 - T17; + T3i = T3e - T3h; + T3j = T3b + T3i; + T5Z = T3b - T3i; + TfE = FNMS(KP382683432, TfD, KP923879532 * TfC); + TfH = FNMS(KP923879532, TfG, KP382683432 * TfF); + TfI = TfE + TfH; + Thk = TfH - TfE; + } + { + E TfN, TfO, TfK, TfL; + TfN = KP707106781 * (TaA + TaB); + TfO = Tas + Tat; + TfP = TfN + TfO; + Thl = TfO - TfN; + TfK = FMA(KP382683432, TfC, KP923879532 * TfD); + TfL = FMA(KP923879532, TfF, KP382683432 * TfG); + TfM = TfK + TfL; + Tho = TfK - TfL; + } + { + E T3E, T3F, T3s, T3B; + T3E = T3r - T3k; + T3F = T3t + T3A; + T3G = KP707106781 * (T3E + T3F); + T60 = KP707106781 * (T3F - T3E); + T3s = T3k + T3r; + T3B = T3t - T3A; + T3C = KP707106781 * (T3s + T3B); + T62 = KP707106781 * (T3s - T3B); + } + { + E T3H, T3O, Tac, Taj; + T3H = T1e - T1b; + T3O = T3K - T3N; + T3P = T3H + T3O; + T63 = T3O - T3H; + Tac = FNMS(KP382683432, Tab, KP923879532 * Ta8); + Taj = FMA(KP923879532, Taf, KP382683432 * Tai); + Tak = Tac + Taj; + TdQ = Taj - Tac; + } + { + E Tar, Tau, Tfz, TfA; + Tar = KP707106781 * (Tan - Taq); + Tau = Tas - Tat; + Tav = Tar + Tau; + TdT = Tau - Tar; + Tfz = Tay - Tax; + TfA = KP707106781 * (Taq + Tan); + TfB = Tfz + TfA; + Thn = Tfz - TfA; + } + { + E T7z, T7C, T7E, T7H; + T7z = T18 - T1f; + T7C = T7A - T7B; + T7D = T7z + T7C; + T8v = T7z - T7C; + T7E = T1u - T1n; + T7H = T7F - T7G; + T7I = T7E + T7H; + T8w = T7H - T7E; + } + { + E Taz, TaC, TaE, TaF; + Taz = Tax + Tay; + TaC = KP707106781 * (TaA - TaB); + TaD = Taz + TaC; + TdP = Taz - TaC; + TaE = FMA(KP923879532, Tab, KP382683432 * Ta8); + TaF = FNMS(KP382683432, Taf, KP923879532 * Tai); + TaG = TaE + TaF; + TdS = TaE - TaF; + } + } + { + E T11, T9K, T9T, Ta2, T22, T9Q, T9N, Ta3; + { + E Tv, T10, T9R, T9S; + Tv = Tf + Tu; + T10 = TK + TZ; + T11 = Tv + T10; + T9K = Tv - T10; + T9R = T9p + T9o; + T9S = T93 + T94; + T9T = T9R - T9S; + Ta2 = T9S + T9R; + } + { + E T1w, T21, T9L, T9M; + T1w = T1g + T1v; + T21 = T1L + T20; + T22 = T1w + T21; + T9Q = T21 - T1w; + T9L = T99 + T98; + T9M = T9e + T9d; + T9N = T9L - T9M; + Ta3 = T9L + T9M; + } + rio[0] = T11 + T22; + iio[-WS(ios, 63)] = Ta3 + Ta2; + { + E T9O, T9U, T9J, T9P; + T9O = T9K + T9N; + T9U = T9Q + T9T; + T9J = W[94]; + T9P = W[95]; + rio[WS(ios, 48)] = FNMS(T9P, T9U, T9J * T9O); + iio[-WS(ios, 15)] = FMA(T9P, T9O, T9J * T9U); + } + { + E T9W, T9Y, T9V, T9X; + T9W = T9K - T9N; + T9Y = T9T - T9Q; + T9V = W[30]; + T9X = W[31]; + rio[WS(ios, 16)] = FNMS(T9X, T9Y, T9V * T9W); + iio[-WS(ios, 47)] = FMA(T9X, T9W, T9V * T9Y); + } + { + E Ta0, Ta4, T9Z, Ta1; + Ta0 = T11 - T22; + Ta4 = Ta2 - Ta3; + T9Z = W[62]; + Ta1 = W[63]; + rio[WS(ios, 32)] = FNMS(Ta1, Ta4, T9Z * Ta0); + iio[-WS(ios, 31)] = FMA(Ta1, Ta0, T9Z * Ta4); + } + } + { + E T96, T9y, T9r, T9D, T9h, T9C, T9m, T9z; + { + E T92, T95, T9n, T9q; + T92 = Tf - Tu; + T95 = T93 - T94; + T96 = T92 + T95; + T9y = T92 - T95; + T9n = TZ - TK; + T9q = T9o - T9p; + T9r = T9n + T9q; + T9D = T9q - T9n; + } + { + E T9b, T9g, T9k, T9l; + T9b = T97 + T9a; + T9g = T9c - T9f; + T9h = KP707106781 * (T9b + T9g); + T9C = KP707106781 * (T9b - T9g); + T9k = T9a - T97; + T9l = T9c + T9f; + T9m = KP707106781 * (T9k + T9l); + T9z = KP707106781 * (T9l - T9k); + } + { + E T9i, T9s, T91, T9j; + T9i = T96 + T9h; + T9s = T9m + T9r; + T91 = W[110]; + T9j = W[111]; + rio[WS(ios, 56)] = FNMS(T9j, T9s, T91 * T9i); + iio[-WS(ios, 7)] = FMA(T9j, T9i, T91 * T9s); + } + { + E T9G, T9I, T9F, T9H; + T9G = T9y - T9z; + T9I = T9D - T9C; + T9F = W[78]; + T9H = W[79]; + rio[WS(ios, 40)] = FNMS(T9H, T9I, T9F * T9G); + iio[-WS(ios, 23)] = FMA(T9H, T9G, T9F * T9I); + } + { + E T9u, T9w, T9t, T9v; + T9u = T96 - T9h; + T9w = T9r - T9m; + T9t = W[46]; + T9v = W[47]; + rio[WS(ios, 24)] = FNMS(T9v, T9w, T9t * T9u); + iio[-WS(ios, 39)] = FMA(T9v, T9u, T9t * T9w); + } + { + E T9A, T9E, T9x, T9B; + T9A = T9y + T9z; + T9E = T9C + T9D; + T9x = W[14]; + T9B = W[15]; + rio[WS(ios, 8)] = FNMS(T9B, T9E, T9x * T9A); + iio[-WS(ios, 55)] = FMA(T9B, T9A, T9x * T9E); + } + } + { + E T8u, T8Q, T8J, T8V, T8B, T8U, T8G, T8R; + { + E T8s, T8t, T8H, T8I; + T8s = T7i - T7l; + T8t = KP707106781 * (T82 - T81); + T8u = T8s + T8t; + T8Q = T8s - T8t; + T8H = KP707106781 * (T7r - T7w); + T8I = T87 - T84; + T8J = T8H + T8I; + T8V = T8I - T8H; + } + { + E T8x, T8A, T8E, T8F; + T8x = FNMS(KP382683432, T8w, KP923879532 * T8v); + T8A = FMA(KP923879532, T8y, KP382683432 * T8z); + T8B = T8x + T8A; + T8U = T8A - T8x; + T8E = FMA(KP382683432, T8v, KP923879532 * T8w); + T8F = FNMS(KP382683432, T8y, KP923879532 * T8z); + T8G = T8E + T8F; + T8R = T8E - T8F; + } + { + E T8C, T8K, T8r, T8D; + T8C = T8u + T8B; + T8K = T8G + T8J; + T8r = W[6]; + T8D = W[7]; + rio[WS(ios, 4)] = FNMS(T8D, T8K, T8r * T8C); + iio[-WS(ios, 59)] = FMA(T8D, T8C, T8r * T8K); + } + { + E T8Y, T90, T8X, T8Z; + T8Y = T8Q - T8R; + T90 = T8V - T8U; + T8X = W[38]; + T8Z = W[39]; + rio[WS(ios, 20)] = FNMS(T8Z, T90, T8X * T8Y); + iio[-WS(ios, 43)] = FMA(T8Z, T8Y, T8X * T90); + } + { + E T8M, T8O, T8L, T8N; + T8M = T8u - T8B; + T8O = T8J - T8G; + T8L = W[70]; + T8N = W[71]; + rio[WS(ios, 36)] = FNMS(T8N, T8O, T8L * T8M); + iio[-WS(ios, 27)] = FMA(T8N, T8M, T8L * T8O); + } + { + E T8S, T8W, T8P, T8T; + T8S = T8Q + T8R; + T8W = T8U + T8V; + T8P = W[102]; + T8T = W[103]; + rio[WS(ios, 52)] = FNMS(T8T, T8W, T8P * T8S); + iio[-WS(ios, 11)] = FMA(T8T, T8S, T8P * T8W); + } + } + { + E T7y, T8g, T89, T8l, T7V, T8k, T80, T8h; + { + E T7m, T7x, T83, T88; + T7m = T7i + T7l; + T7x = KP707106781 * (T7r + T7w); + T7y = T7m + T7x; + T8g = T7m - T7x; + T83 = KP707106781 * (T81 + T82); + T88 = T84 + T87; + T89 = T83 + T88; + T8l = T88 - T83; + } + { + E T7J, T7U, T7Y, T7Z; + T7J = FMA(KP923879532, T7D, KP382683432 * T7I); + T7U = FNMS(KP382683432, T7T, KP923879532 * T7O); + T7V = T7J + T7U; + T8k = T7J - T7U; + T7Y = FNMS(KP382683432, T7D, KP923879532 * T7I); + T7Z = FMA(KP382683432, T7O, KP923879532 * T7T); + T80 = T7Y + T7Z; + T8h = T7Z - T7Y; + } + { + E T7W, T8a, T7h, T7X; + T7W = T7y + T7V; + T8a = T80 + T89; + T7h = W[118]; + T7X = W[119]; + rio[WS(ios, 60)] = FNMS(T7X, T8a, T7h * T7W); + iio[-WS(ios, 3)] = FMA(T7X, T7W, T7h * T8a); + } + { + E T8o, T8q, T8n, T8p; + T8o = T8g - T8h; + T8q = T8l - T8k; + T8n = W[86]; + T8p = W[87]; + rio[WS(ios, 44)] = FNMS(T8p, T8q, T8n * T8o); + iio[-WS(ios, 19)] = FMA(T8p, T8o, T8n * T8q); + } + { + E T8c, T8e, T8b, T8d; + T8c = T7y - T7V; + T8e = T89 - T80; + T8b = W[54]; + T8d = W[55]; + rio[WS(ios, 28)] = FNMS(T8d, T8e, T8b * T8c); + iio[-WS(ios, 35)] = FMA(T8d, T8c, T8b * T8e); + } + { + E T8i, T8m, T8f, T8j; + T8i = T8g + T8h; + T8m = T8k + T8l; + T8f = W[22]; + T8j = W[23]; + rio[WS(ios, 12)] = FNMS(T8j, T8m, T8f * T8i); + iio[-WS(ios, 51)] = FMA(T8j, T8i, T8f * T8m); + } + } + { + E T6K, T76, T6Z, T7b, T6R, T7a, T6W, T77; + { + E T6I, T6J, T6X, T6Y; + T6I = T5O - T5P; + T6J = T6j - T6k; + T6K = T6I + T6J; + T76 = T6I - T6J; + T6X = T5W - T5T; + T6Y = T6n - T6m; + T6Z = T6X + T6Y; + T7b = T6Y - T6X; + { + E T6N, T6U, T6Q, T6V; + { + E T6L, T6M, T6O, T6P; + T6L = T5Z - T60; + T6M = T63 - T62; + T6N = FMA(KP831469612, T6L, KP555570233 * T6M); + T6U = FNMS(KP555570233, T6L, KP831469612 * T6M); + T6O = T66 - T67; + T6P = T6a - T69; + T6Q = FNMS(KP555570233, T6P, KP831469612 * T6O); + T6V = FMA(KP555570233, T6O, KP831469612 * T6P); + } + T6R = T6N + T6Q; + T7a = T6N - T6Q; + T6W = T6U + T6V; + T77 = T6V - T6U; + } + } + { + E T6S, T70, T6H, T6T; + T6S = T6K + T6R; + T70 = T6W + T6Z; + T6H = W[114]; + T6T = W[115]; + rio[WS(ios, 58)] = FNMS(T6T, T70, T6H * T6S); + iio[-WS(ios, 5)] = FMA(T6T, T6S, T6H * T70); + } + { + E T7e, T7g, T7d, T7f; + T7e = T76 - T77; + T7g = T7b - T7a; + T7d = W[82]; + T7f = W[83]; + rio[WS(ios, 42)] = FNMS(T7f, T7g, T7d * T7e); + iio[-WS(ios, 21)] = FMA(T7f, T7e, T7d * T7g); + } + { + E T72, T74, T71, T73; + T72 = T6K - T6R; + T74 = T6Z - T6W; + T71 = W[50]; + T73 = W[51]; + rio[WS(ios, 26)] = FNMS(T73, T74, T71 * T72); + iio[-WS(ios, 37)] = FMA(T73, T72, T71 * T74); + } + { + E T78, T7c, T75, T79; + T78 = T76 + T77; + T7c = T7a + T7b; + T75 = W[18]; + T79 = W[19]; + rio[WS(ios, 10)] = FNMS(T79, T7c, T75 * T78); + iio[-WS(ios, 53)] = FMA(T79, T78, T75 * T7c); + } + } + { + E T3a, T52, T4V, T57, T4z, T56, T4E, T53; + { + E T2w, T39, T4H, T4U; + T2w = T2c + T2v; + T39 = T2P + T38; + T3a = T2w + T39; + T52 = T2w - T39; + T4H = T4F + T4G; + T4U = T4K + T4T; + T4V = T4H + T4U; + T57 = T4U - T4H; + { + E T3R, T4C, T4y, T4D; + { + E T3D, T3Q, T4k, T4x; + T3D = T3j + T3C; + T3Q = T3G + T3P; + T3R = FMA(KP980785280, T3D, KP195090322 * T3Q); + T4C = FNMS(KP195090322, T3D, KP980785280 * T3Q); + T4k = T40 + T4j; + T4x = T4n + T4w; + T4y = FNMS(KP195090322, T4x, KP980785280 * T4k); + T4D = FMA(KP195090322, T4k, KP980785280 * T4x); + } + T4z = T3R + T4y; + T56 = T3R - T4y; + T4E = T4C + T4D; + T53 = T4D - T4C; + } + } + { + E T4A, T4W, T23, T4B; + T4A = T3a + T4z; + T4W = T4E + T4V; + T23 = W[122]; + T4B = W[123]; + rio[WS(ios, 62)] = FNMS(T4B, T4W, T23 * T4A); + iio[-WS(ios, 1)] = FMA(T4B, T4A, T23 * T4W); + } + { + E T5a, T5c, T59, T5b; + T5a = T52 - T53; + T5c = T57 - T56; + T59 = W[90]; + T5b = W[91]; + rio[WS(ios, 46)] = FNMS(T5b, T5c, T59 * T5a); + iio[-WS(ios, 17)] = FMA(T5b, T5a, T59 * T5c); + } + { + E T4Y, T50, T4X, T4Z; + T4Y = T3a - T4z; + T50 = T4V - T4E; + T4X = W[58]; + T4Z = W[59]; + rio[WS(ios, 30)] = FNMS(T4Z, T50, T4X * T4Y); + iio[-WS(ios, 33)] = FMA(T4Z, T4Y, T4X * T50); + } + { + E T54, T58, T51, T55; + T54 = T52 + T53; + T58 = T56 + T57; + T51 = W[26]; + T55 = W[27]; + rio[WS(ios, 14)] = FNMS(T55, T58, T51 * T54); + iio[-WS(ios, 49)] = FMA(T55, T54, T51 * T58); + } + } + { + E T5g, T5C, T5v, T5H, T5n, T5G, T5s, T5D; + { + E T5e, T5f, T5t, T5u; + T5e = T2c - T2v; + T5f = T4G - T4F; + T5g = T5e + T5f; + T5C = T5e - T5f; + T5t = T2P - T38; + T5u = T4T - T4K; + T5v = T5t + T5u; + T5H = T5u - T5t; + { + E T5j, T5q, T5m, T5r; + { + E T5h, T5i, T5k, T5l; + T5h = T3j - T3C; + T5i = T3P - T3G; + T5j = FNMS(KP555570233, T5i, KP831469612 * T5h); + T5q = FMA(KP555570233, T5h, KP831469612 * T5i); + T5k = T40 - T4j; + T5l = T4w - T4n; + T5m = FMA(KP831469612, T5k, KP555570233 * T5l); + T5r = FNMS(KP555570233, T5k, KP831469612 * T5l); + } + T5n = T5j + T5m; + T5G = T5m - T5j; + T5s = T5q + T5r; + T5D = T5q - T5r; + } + } + { + E T5o, T5w, T5d, T5p; + T5o = T5g + T5n; + T5w = T5s + T5v; + T5d = W[10]; + T5p = W[11]; + rio[WS(ios, 6)] = FNMS(T5p, T5w, T5d * T5o); + iio[-WS(ios, 57)] = FMA(T5p, T5o, T5d * T5w); + } + { + E T5K, T5M, T5J, T5L; + T5K = T5C - T5D; + T5M = T5H - T5G; + T5J = W[42]; + T5L = W[43]; + rio[WS(ios, 22)] = FNMS(T5L, T5M, T5J * T5K); + iio[-WS(ios, 41)] = FMA(T5L, T5K, T5J * T5M); + } + { + E T5y, T5A, T5x, T5z; + T5y = T5g - T5n; + T5A = T5v - T5s; + T5x = W[74]; + T5z = W[75]; + rio[WS(ios, 38)] = FNMS(T5z, T5A, T5x * T5y); + iio[-WS(ios, 25)] = FMA(T5z, T5y, T5x * T5A); + } + { + E T5E, T5I, T5B, T5F; + T5E = T5C + T5D; + T5I = T5G + T5H; + T5B = W[106]; + T5F = W[107]; + rio[WS(ios, 54)] = FNMS(T5F, T5I, T5B * T5E); + iio[-WS(ios, 9)] = FMA(T5F, T5E, T5B * T5I); + } + } + { + E T5Y, T6w, T6p, T6B, T6d, T6A, T6i, T6x; + { + E T5Q, T5X, T6l, T6o; + T5Q = T5O + T5P; + T5X = T5T + T5W; + T5Y = T5Q + T5X; + T6w = T5Q - T5X; + T6l = T6j + T6k; + T6o = T6m + T6n; + T6p = T6l + T6o; + T6B = T6o - T6l; + { + E T65, T6g, T6c, T6h; + { + E T61, T64, T68, T6b; + T61 = T5Z + T60; + T64 = T62 + T63; + T65 = FNMS(KP195090322, T64, KP980785280 * T61); + T6g = FMA(KP195090322, T61, KP980785280 * T64); + T68 = T66 + T67; + T6b = T69 + T6a; + T6c = FMA(KP980785280, T68, KP195090322 * T6b); + T6h = FNMS(KP195090322, T68, KP980785280 * T6b); + } + T6d = T65 + T6c; + T6A = T6c - T65; + T6i = T6g + T6h; + T6x = T6g - T6h; + } + } + { + E T6e, T6q, T5N, T6f; + T6e = T5Y + T6d; + T6q = T6i + T6p; + T5N = W[2]; + T6f = W[3]; + rio[WS(ios, 2)] = FNMS(T6f, T6q, T5N * T6e); + iio[-WS(ios, 61)] = FMA(T6f, T6e, T5N * T6q); + } + { + E T6E, T6G, T6D, T6F; + T6E = T6w - T6x; + T6G = T6B - T6A; + T6D = W[34]; + T6F = W[35]; + rio[WS(ios, 18)] = FNMS(T6F, T6G, T6D * T6E); + iio[-WS(ios, 45)] = FMA(T6F, T6E, T6D * T6G); + } + { + E T6s, T6u, T6r, T6t; + T6s = T5Y - T6d; + T6u = T6p - T6i; + T6r = W[66]; + T6t = W[67]; + rio[WS(ios, 34)] = FNMS(T6t, T6u, T6r * T6s); + iio[-WS(ios, 29)] = FMA(T6t, T6s, T6r * T6u); + } + { + E T6y, T6C, T6v, T6z; + T6y = T6w + T6x; + T6C = T6A + T6B; + T6v = W[98]; + T6z = W[99]; + rio[WS(ios, 50)] = FNMS(T6z, T6C, T6v * T6y); + iio[-WS(ios, 13)] = FMA(T6z, T6y, T6v * T6C); + } + } + { + E TdO, Tf1, Teq, TeH, Tef, TeW, Ten, TeM, Te3, Ter, Te8, Tem, TeE, Tf0, TeP; + E TeX; + { + E TdG, TeG, TdN, TeF, TdJ, TdM; + TdG = TdE + TdF; + TeG = Ted - Tec; + TdJ = FNMS(KP555570233, TdI, KP831469612 * TdH); + TdM = FMA(KP831469612, TdK, KP555570233 * TdL); + TdN = TdJ + TdM; + TeF = TdM - TdJ; + TdO = TdG + TdN; + Tf1 = TeG - TeF; + Teq = TdG - TdN; + TeH = TeF + TeG; + } + { + E Tee, TeK, Teb, TeL, Te9, Tea; + Tee = Tec + Ted; + TeK = TdE - TdF; + Te9 = FMA(KP555570233, TdH, KP831469612 * TdI); + Tea = FNMS(KP555570233, TdK, KP831469612 * TdL); + Teb = Te9 + Tea; + TeL = Te9 - Tea; + Tef = Teb + Tee; + TeW = TeK - TeL; + Ten = Tee - Teb; + TeM = TeK + TeL; + } + { + E TdV, Te6, Te2, Te7; + { + E TdR, TdU, TdY, Te1; + TdR = TdP + TdQ; + TdU = TdS + TdT; + TdV = FNMS(KP290284677, TdU, KP956940335 * TdR); + Te6 = FMA(KP290284677, TdR, KP956940335 * TdU); + TdY = TdW + TdX; + Te1 = TdZ + Te0; + Te2 = FMA(KP956940335, TdY, KP290284677 * Te1); + Te7 = FNMS(KP290284677, TdY, KP956940335 * Te1); + } + Te3 = TdV + Te2; + Ter = Te6 - Te7; + Te8 = Te6 + Te7; + Tem = Te2 - TdV; + } + { + E TeA, TeN, TeD, TeO; + { + E Tey, Tez, TeB, TeC; + Tey = TdT - TdS; + Tez = TdP - TdQ; + TeA = FNMS(KP471396736, Tez, KP881921264 * Tey); + TeN = FMA(KP881921264, Tez, KP471396736 * Tey); + TeB = TdW - TdX; + TeC = Te0 - TdZ; + TeD = FMA(KP471396736, TeB, KP881921264 * TeC); + TeO = FNMS(KP471396736, TeC, KP881921264 * TeB); + } + TeE = TeA + TeD; + Tf0 = TeN - TeO; + TeP = TeN + TeO; + TeX = TeD - TeA; + } + { + E Te4, Teg, TdD, Te5; + Te4 = TdO + Te3; + Teg = Te8 + Tef; + TdD = W[120]; + Te5 = W[121]; + iio[-WS(ios, 2)] = FMA(TdD, Te4, Te5 * Teg); + rio[WS(ios, 61)] = FNMS(Te5, Te4, TdD * Teg); + } + { + E TeY, Tf2, TeV, TeZ; + TeY = TeW + TeX; + Tf2 = Tf0 + Tf1; + TeV = W[104]; + TeZ = W[105]; + iio[-WS(ios, 10)] = FMA(TeV, TeY, TeZ * Tf2); + rio[WS(ios, 53)] = FNMS(TeZ, TeY, TeV * Tf2); + } + { + E Tf4, Tf6, Tf3, Tf5; + Tf4 = Tf1 - Tf0; + Tf6 = TeW - TeX; + Tf3 = W[40]; + Tf5 = W[41]; + rio[WS(ios, 21)] = FNMS(Tf5, Tf6, Tf3 * Tf4); + iio[-WS(ios, 42)] = FMA(Tf3, Tf6, Tf5 * Tf4); + } + { + E Tei, Tek, Teh, Tej; + Tei = Tef - Te8; + Tek = TdO - Te3; + Teh = W[56]; + Tej = W[57]; + rio[WS(ios, 29)] = FNMS(Tej, Tek, Teh * Tei); + iio[-WS(ios, 34)] = FMA(Teh, Tek, Tej * Tei); + } + { + E Teo, Tes, Tel, Tep; + Teo = Tem + Ten; + Tes = Teq + Ter; + Tel = W[24]; + Tep = W[25]; + rio[WS(ios, 13)] = FNMS(Tep, Tes, Tel * Teo); + iio[-WS(ios, 50)] = FMA(Tel, Tes, Tep * Teo); + } + { + E TeI, TeQ, Tex, TeJ; + TeI = TeE + TeH; + TeQ = TeM + TeP; + Tex = W[8]; + TeJ = W[9]; + rio[WS(ios, 5)] = FNMS(TeJ, TeQ, Tex * TeI); + iio[-WS(ios, 58)] = FMA(Tex, TeQ, TeJ * TeI); + } + { + E TeS, TeU, TeR, TeT; + TeS = TeM - TeP; + TeU = TeH - TeE; + TeR = W[72]; + TeT = W[73]; + iio[-WS(ios, 26)] = FMA(TeR, TeS, TeT * TeU); + rio[WS(ios, 37)] = FNMS(TeT, TeS, TeR * TeU); + } + { + E Teu, Tew, Tet, Tev; + Teu = Teq - Ter; + Tew = Ten - Tem; + Tet = W[88]; + Tev = W[89]; + iio[-WS(ios, 18)] = FMA(Tet, Teu, Tev * Tew); + rio[WS(ios, 45)] = FNMS(Tev, Teu, Tet * Tew); + } + } + { + E Tcr, Tdw, TcX, Td6, TcI, Tdt, TcS, Tdl, Tbm, TcW, TcL, TcT, Tdd, Tdx, Tdi; + E Tds; + { + E Tcq, Td4, TbZ, Td5, TbF, TbY; + Tcq = Tce + Tcp; + Td4 = TcA - TcD; + TbF = FNMS(KP195090322, TbE, KP980785280 * Tbx); + TbY = FMA(KP195090322, TbQ, KP980785280 * TbX); + TbZ = TbF + TbY; + Td5 = TbY - TbF; + Tcr = TbZ + Tcq; + Tdw = Td4 - Td5; + TcX = Tcq - TbZ; + Td6 = Td4 + Td5; + } + { + E TcE, Tdk, TcH, Tdj, TcF, TcG; + TcE = TcA + TcD; + Tdk = Tcp - Tce; + TcF = FMA(KP980785280, TbE, KP195090322 * Tbx); + TcG = FNMS(KP195090322, TbX, KP980785280 * TbQ); + TcH = TcF + TcG; + Tdj = TcF - TcG; + TcI = TcE + TcH; + Tdt = Tdk - Tdj; + TcS = TcE - TcH; + Tdl = Tdj + Tdk; + } + { + E TaI, TcJ, Tbl, TcK; + { + E Taw, TaH, Tb9, Tbk; + Taw = Tak + Tav; + TaH = TaD + TaG; + TaI = FNMS(KP098017140, TaH, KP995184726 * Taw); + TcJ = FMA(KP995184726, TaH, KP098017140 * Taw); + Tb9 = TaT + Tb8; + Tbk = Tbc + Tbj; + Tbl = FMA(KP098017140, Tb9, KP995184726 * Tbk); + TcK = FNMS(KP098017140, Tbk, KP995184726 * Tb9); + } + Tbm = TaI + Tbl; + TcW = TcJ - TcK; + TcL = TcJ + TcK; + TcT = Tbl - TaI; + } + { + E Td9, Tdg, Tdc, Tdh; + { + E Td7, Td8, Tda, Tdb; + Td7 = TaD - TaG; + Td8 = Tav - Tak; + Td9 = FNMS(KP634393284, Td8, KP773010453 * Td7); + Tdg = FMA(KP634393284, Td7, KP773010453 * Td8); + Tda = TaT - Tb8; + Tdb = Tbj - Tbc; + Tdc = FMA(KP773010453, Tda, KP634393284 * Tdb); + Tdh = FNMS(KP634393284, Tda, KP773010453 * Tdb); + } + Tdd = Td9 + Tdc; + Tdx = Tdg - Tdh; + Tdi = Tdg + Tdh; + Tds = Tdc - Td9; + } + { + E Tcs, TcM, Ta5, Tct; + Tcs = Tbm + Tcr; + TcM = TcI + TcL; + Ta5 = W[0]; + Tct = W[1]; + rio[WS(ios, 1)] = FNMS(Tct, TcM, Ta5 * Tcs); + iio[-WS(ios, 62)] = FMA(Ta5, TcM, Tct * Tcs); + } + { + E Tdu, Tdy, Tdr, Tdv; + Tdu = Tds + Tdt; + Tdy = Tdw + Tdx; + Tdr = W[16]; + Tdv = W[17]; + rio[WS(ios, 9)] = FNMS(Tdv, Tdy, Tdr * Tdu); + iio[-WS(ios, 54)] = FMA(Tdr, Tdy, Tdv * Tdu); + } + { + E TdA, TdC, Tdz, TdB; + TdA = Tdw - Tdx; + TdC = Tdt - Tds; + Tdz = W[80]; + TdB = W[81]; + iio[-WS(ios, 22)] = FMA(Tdz, TdA, TdB * TdC); + rio[WS(ios, 41)] = FNMS(TdB, TdA, Tdz * TdC); + } + { + E TcO, TcQ, TcN, TcP; + TcO = TcI - TcL; + TcQ = Tcr - Tbm; + TcN = W[64]; + TcP = W[65]; + iio[-WS(ios, 30)] = FMA(TcN, TcO, TcP * TcQ); + rio[WS(ios, 33)] = FNMS(TcP, TcO, TcN * TcQ); + } + { + E TcU, TcY, TcR, TcV; + TcU = TcS + TcT; + TcY = TcW + TcX; + TcR = W[96]; + TcV = W[97]; + iio[-WS(ios, 14)] = FMA(TcR, TcU, TcV * TcY); + rio[WS(ios, 49)] = FNMS(TcV, TcU, TcR * TcY); + } + { + E Tde, Tdm, Td3, Tdf; + Tde = Td6 + Tdd; + Tdm = Tdi + Tdl; + Td3 = W[112]; + Tdf = W[113]; + iio[-WS(ios, 6)] = FMA(Td3, Tde, Tdf * Tdm); + rio[WS(ios, 57)] = FNMS(Tdf, Tde, Td3 * Tdm); + } + { + E Tdo, Tdq, Tdn, Tdp; + Tdo = Tdl - Tdi; + Tdq = Td6 - Tdd; + Tdn = W[48]; + Tdp = W[49]; + rio[WS(ios, 25)] = FNMS(Tdp, Tdq, Tdn * Tdo); + iio[-WS(ios, 38)] = FMA(Tdn, Tdq, Tdp * Tdo); + } + { + E Td0, Td2, TcZ, Td1; + Td0 = TcX - TcW; + Td2 = TcS - TcT; + TcZ = W[32]; + Td1 = W[33]; + rio[WS(ios, 17)] = FNMS(Td1, Td2, TcZ * Td0); + iio[-WS(ios, 46)] = FMA(TcZ, Td2, Td1 * Td0); + } + } + { + E Tfy, Thd, TgC, TgT, Tgr, Th8, Tgz, TgY, Tgb, TgD, Tgg, Tgy, TgQ, Thc, Th1; + E Th9; + { + E Tfi, TgS, Tfx, TgR, Tfp, Tfw; + Tfi = Tfa + Tfh; + TgS = Tgp - Tgm; + Tfp = FNMS(KP195090322, Tfo, KP980785280 * Tfl); + Tfw = FMA(KP980785280, Tfs, KP195090322 * Tfv); + Tfx = Tfp + Tfw; + TgR = Tfw - Tfp; + Tfy = Tfi + Tfx; + Thd = TgS - TgR; + TgC = Tfi - Tfx; + TgT = TgR + TgS; + } + { + E Tgq, TgW, Tgj, TgX, Tgh, Tgi; + Tgq = Tgm + Tgp; + TgW = Tfa - Tfh; + Tgh = FMA(KP195090322, Tfl, KP980785280 * Tfo); + Tgi = FNMS(KP195090322, Tfs, KP980785280 * Tfv); + Tgj = Tgh + Tgi; + TgX = Tgh - Tgi; + Tgr = Tgj + Tgq; + Th8 = TgW - TgX; + Tgz = Tgq - Tgj; + TgY = TgW + TgX; + } + { + E TfR, Tge, Tga, Tgf; + { + E TfJ, TfQ, Tg2, Tg9; + TfJ = TfB + TfI; + TfQ = TfM + TfP; + TfR = FNMS(KP098017140, TfQ, KP995184726 * TfJ); + Tge = FMA(KP098017140, TfJ, KP995184726 * TfQ); + Tg2 = TfU + Tg1; + Tg9 = Tg5 + Tg8; + Tga = FMA(KP995184726, Tg2, KP098017140 * Tg9); + Tgf = FNMS(KP098017140, Tg2, KP995184726 * Tg9); + } + Tgb = TfR + Tga; + TgD = Tge - Tgf; + Tgg = Tge + Tgf; + Tgy = Tga - TfR; + } + { + E TgM, TgZ, TgP, Th0; + { + E TgK, TgL, TgN, TgO; + TgK = TfP - TfM; + TgL = TfB - TfI; + TgM = FNMS(KP634393284, TgL, KP773010453 * TgK); + TgZ = FMA(KP773010453, TgL, KP634393284 * TgK); + TgN = TfU - Tg1; + TgO = Tg8 - Tg5; + TgP = FMA(KP634393284, TgN, KP773010453 * TgO); + Th0 = FNMS(KP634393284, TgO, KP773010453 * TgN); + } + TgQ = TgM + TgP; + Thc = TgZ - Th0; + Th1 = TgZ + Th0; + Th9 = TgP - TgM; + } + { + E Tgc, Tgs, Tf7, Tgd; + Tgc = Tfy + Tgb; + Tgs = Tgg + Tgr; + Tf7 = W[124]; + Tgd = W[125]; + iio[0] = FMA(Tf7, Tgc, Tgd * Tgs); + rio[WS(ios, 63)] = FNMS(Tgd, Tgc, Tf7 * Tgs); + } + { + E Tha, The, Th7, Thb; + Tha = Th8 + Th9; + The = Thc + Thd; + Th7 = W[108]; + Thb = W[109]; + iio[-WS(ios, 8)] = FMA(Th7, Tha, Thb * The); + rio[WS(ios, 55)] = FNMS(Thb, Tha, Th7 * The); + } + { + E Thg, Thi, Thf, Thh; + Thg = Thd - Thc; + Thi = Th8 - Th9; + Thf = W[44]; + Thh = W[45]; + rio[WS(ios, 23)] = FNMS(Thh, Thi, Thf * Thg); + iio[-WS(ios, 40)] = FMA(Thf, Thi, Thh * Thg); + } + { + E Tgu, Tgw, Tgt, Tgv; + Tgu = Tgr - Tgg; + Tgw = Tfy - Tgb; + Tgt = W[60]; + Tgv = W[61]; + rio[WS(ios, 31)] = FNMS(Tgv, Tgw, Tgt * Tgu); + iio[-WS(ios, 32)] = FMA(Tgt, Tgw, Tgv * Tgu); + } + { + E TgA, TgE, Tgx, TgB; + TgA = Tgy + Tgz; + TgE = TgC + TgD; + Tgx = W[28]; + TgB = W[29]; + rio[WS(ios, 15)] = FNMS(TgB, TgE, Tgx * TgA); + iio[-WS(ios, 48)] = FMA(Tgx, TgE, TgB * TgA); + } + { + E TgU, Th2, TgJ, TgV; + TgU = TgQ + TgT; + Th2 = TgY + Th1; + TgJ = W[12]; + TgV = W[13]; + rio[WS(ios, 7)] = FNMS(TgV, Th2, TgJ * TgU); + iio[-WS(ios, 56)] = FMA(TgJ, Th2, TgV * TgU); + } + { + E Th4, Th6, Th3, Th5; + Th4 = TgY - Th1; + Th6 = TgT - TgQ; + Th3 = W[76]; + Th5 = W[77]; + iio[-WS(ios, 24)] = FMA(Th3, Th4, Th5 * Th6); + rio[WS(ios, 39)] = FNMS(Th5, Th4, Th3 * Th6); + } + { + E TgG, TgI, TgF, TgH; + TgG = TgC - TgD; + TgI = Tgz - Tgy; + TgF = W[92]; + TgH = W[93]; + iio[-WS(ios, 16)] = FMA(TgF, TgG, TgH * TgI); + rio[WS(ios, 47)] = FNMS(TgH, TgG, TgF * TgI); + } + } + { + E ThJ, TiG, Ti7, Tig, ThS, TiD, Ti2, Tiv, Thy, Ti6, ThV, Ti3, Tin, TiH, Tis; + E TiC; + { + E ThI, Tie, ThF, Tif, ThB, ThE; + ThI = ThG + ThH; + Tie = ThM - ThN; + ThB = FNMS(KP555570233, ThA, KP831469612 * Thz); + ThE = FNMS(KP555570233, ThD, KP831469612 * ThC); + ThF = ThB + ThE; + Tif = ThE - ThB; + ThJ = ThF + ThI; + TiG = Tie - Tif; + Ti7 = ThI - ThF; + Tig = Tie + Tif; + } + { + E ThO, Tiu, ThR, Tit, ThP, ThQ; + ThO = ThM + ThN; + Tiu = ThH - ThG; + ThP = FMA(KP831469612, ThA, KP555570233 * Thz); + ThQ = FMA(KP831469612, ThD, KP555570233 * ThC); + ThR = ThP - ThQ; + Tit = ThP + ThQ; + ThS = ThO + ThR; + TiD = Tiu - Tit; + Ti2 = ThO - ThR; + Tiv = Tit + Tiu; + } + { + E Thq, ThT, Thx, ThU; + { + E Thm, Thp, Tht, Thw; + Thm = Thk + Thl; + Thp = Thn + Tho; + Thq = FNMS(KP290284677, Thp, KP956940335 * Thm); + ThT = FMA(KP956940335, Thp, KP290284677 * Thm); + Tht = Thr - Ths; + Thw = Thu + Thv; + Thx = FMA(KP290284677, Tht, KP956940335 * Thw); + ThU = FNMS(KP290284677, Thw, KP956940335 * Tht); + } + Thy = Thq + Thx; + Ti6 = ThT - ThU; + ThV = ThT + ThU; + Ti3 = Thx - Thq; + } + { + E Tij, Tiq, Tim, Tir; + { + E Tih, Tii, Tik, Til; + Tih = Thn - Tho; + Tii = Thl - Thk; + Tij = FNMS(KP471396736, Tii, KP881921264 * Tih); + Tiq = FMA(KP471396736, Tih, KP881921264 * Tii); + Tik = Thv - Thu; + Til = Ths + Thr; + Tim = FNMS(KP881921264, Til, KP471396736 * Tik); + Tir = FMA(KP471396736, Til, KP881921264 * Tik); + } + Tin = Tij + Tim; + TiH = Tiq - Tir; + Tis = Tiq + Tir; + TiC = Tim - Tij; + } + { + E ThK, ThW, Thj, ThL; + ThK = Thy + ThJ; + ThW = ThS + ThV; + Thj = W[4]; + ThL = W[5]; + rio[WS(ios, 3)] = FNMS(ThL, ThW, Thj * ThK); + iio[-WS(ios, 60)] = FMA(Thj, ThW, ThL * ThK); + } + { + E TiE, TiI, TiB, TiF; + TiE = TiC + TiD; + TiI = TiG + TiH; + TiB = W[20]; + TiF = W[21]; + rio[WS(ios, 11)] = FNMS(TiF, TiI, TiB * TiE); + iio[-WS(ios, 52)] = FMA(TiB, TiI, TiF * TiE); + } + { + E TiK, TiM, TiJ, TiL; + TiK = TiG - TiH; + TiM = TiD - TiC; + TiJ = W[84]; + TiL = W[85]; + iio[-WS(ios, 20)] = FMA(TiJ, TiK, TiL * TiM); + rio[WS(ios, 43)] = FNMS(TiL, TiK, TiJ * TiM); + } + { + E ThY, Ti0, ThX, ThZ; + ThY = ThS - ThV; + Ti0 = ThJ - Thy; + ThX = W[68]; + ThZ = W[69]; + iio[-WS(ios, 28)] = FMA(ThX, ThY, ThZ * Ti0); + rio[WS(ios, 35)] = FNMS(ThZ, ThY, ThX * Ti0); + } + { + E Ti4, Ti8, Ti1, Ti5; + Ti4 = Ti2 + Ti3; + Ti8 = Ti6 + Ti7; + Ti1 = W[100]; + Ti5 = W[101]; + iio[-WS(ios, 12)] = FMA(Ti1, Ti4, Ti5 * Ti8); + rio[WS(ios, 51)] = FNMS(Ti5, Ti4, Ti1 * Ti8); + } + { + E Tio, Tiw, Tid, Tip; + Tio = Tig + Tin; + Tiw = Tis + Tiv; + Tid = W[116]; + Tip = W[117]; + iio[-WS(ios, 4)] = FMA(Tid, Tio, Tip * Tiw); + rio[WS(ios, 59)] = FNMS(Tip, Tio, Tid * Tiw); + } + { + E Tiy, TiA, Tix, Tiz; + Tiy = Tiv - Tis; + TiA = Tig - Tin; + Tix = W[52]; + Tiz = W[53]; + rio[WS(ios, 27)] = FNMS(Tiz, TiA, Tix * Tiy); + iio[-WS(ios, 36)] = FMA(Tix, TiA, Tiz * Tiy); + } + { + E Tia, Tic, Ti9, Tib; + Tia = Ti7 - Ti6; + Tic = Ti2 - Ti3; + Ti9 = W[36]; + Tib = W[37]; + rio[WS(ios, 19)] = FNMS(Tib, Tic, Ti9 * Tia); + iio[-WS(ios, 44)] = FMA(Ti9, Tic, Tib * Tia); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 64}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 64, "hb_64", twinstr, {808, 270, 230, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_64) (planner *p) { + X(khc2hc_dif_register) (p, hb_64, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_7.c b/src/fftw3/rdft/codelets/hc2r/hb_7.c new file mode 100644 index 0000000..4993e5e --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_7.c @@ -0,0 +1,173 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:26 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 7 -dif -name hb_7 -include hb.h */ + +/* + * This function contains 72 FP additions, 60 FP multiplications, + * (or, 36 additions, 24 multiplications, 36 fused multiply/add), + * 36 stack variables, and 28 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_7(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP222520933, +0.222520933956314404288902564496794759466355569); + DK(KP900968867, +0.900968867902419126236102319507445051165919162); + DK(KP623489801, +0.623489801858733530525004884004239810632274731); + DK(KP781831482, +0.781831482468029808708444526674057750232334519); + DK(KP974927912, +0.974927912181823607018131682993931217232785801); + DK(KP433883739, +0.433883739117558120475768332848358754609990728); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 12) { + E T1, Ta, T4, T7, Tq, TI, TR, TU, TE, Tt, Tb, Tk, Te, Th, Tx; + E TF, TV, TQ, TJ, Tm; + { + E To, Tn, Tp, T8, T9; + T1 = rio[0]; + T8 = rio[WS(ios, 3)]; + T9 = iio[-WS(ios, 4)]; + Ta = T8 + T9; + To = T8 - T9; + { + E T2, T3, T5, T6; + T2 = rio[WS(ios, 1)]; + T3 = iio[-WS(ios, 6)]; + T4 = T2 + T3; + Tn = T2 - T3; + T5 = rio[WS(ios, 2)]; + T6 = iio[-WS(ios, 5)]; + T7 = T5 + T6; + Tp = T5 - T6; + } + Tq = FMA(KP433883739, Tn, KP974927912 * To) - (KP781831482 * Tp); + TI = FMA(KP781831482, Tn, KP974927912 * Tp) + (KP433883739 * To); + TR = FNMS(KP781831482, To, KP974927912 * Tn) - (KP433883739 * Tp); + TU = FMA(KP623489801, Ta, T1) + FNMA(KP900968867, T7, KP222520933 * T4); + TE = FMA(KP623489801, T4, T1) + FNMA(KP900968867, Ta, KP222520933 * T7); + Tt = FMA(KP623489801, T7, T1) + FNMA(KP222520933, Ta, KP900968867 * T4); + } + { + E Tv, Tw, Tu, Ti, Tj; + Tb = iio[0]; + Ti = rio[WS(ios, 4)]; + Tj = iio[-WS(ios, 3)]; + Tk = Ti - Tj; + Tv = Ti + Tj; + { + E Tc, Td, Tf, Tg; + Tc = iio[-WS(ios, 1)]; + Td = rio[WS(ios, 6)]; + Te = Tc - Td; + Tw = Tc + Td; + Tf = rio[WS(ios, 5)]; + Tg = iio[-WS(ios, 2)]; + Th = Tf - Tg; + Tu = Tf + Tg; + } + Tx = FNMS(KP974927912, Tv, KP781831482 * Tu) - (KP433883739 * Tw); + TF = FMA(KP781831482, Tw, KP974927912 * Tu) + (KP433883739 * Tv); + TV = FMA(KP433883739, Tu, KP781831482 * Tv) - (KP974927912 * Tw); + TQ = FMA(KP900968867, Th, Tb) + FNMA(KP623489801, Tk, KP222520933 * Te); + TJ = FMA(KP623489801, Te, Tb) + FMA(KP222520933, Th, KP900968867 * Tk); + Tm = FMA(KP222520933, Tk, Tb) + FNMA(KP623489801, Th, KP900968867 * Te); + } + rio[0] = T1 + T4 + T7 + Ta; + iio[-WS(ios, 6)] = Tb + Te - (Th + Tk); + { + E TM, TO, TL, TN; + TM = TJ - TI; + TO = TE + TF; + TL = W[10]; + TN = W[11]; + iio[0] = FMA(TL, TM, TN * TO); + rio[WS(ios, 6)] = FNMS(TN, TM, TL * TO); + } + { + E TY, T10, TX, TZ; + TY = TU + TV; + T10 = TR + TQ; + TX = W[2]; + TZ = W[3]; + rio[WS(ios, 2)] = FNMS(TZ, T10, TX * TY); + iio[-WS(ios, 4)] = FMA(TX, T10, TZ * TY); + } + { + E Tr, Ty, Tl, Ts; + Tr = Tm - Tq; + Ty = Tt - Tx; + Tl = W[6]; + Ts = W[7]; + iio[-WS(ios, 2)] = FMA(Tl, Tr, Ts * Ty); + rio[WS(ios, 4)] = FNMS(Ts, Tr, Tl * Ty); + } + { + E TA, TC, Tz, TB; + TA = Tt + Tx; + TC = Tq + Tm; + Tz = W[4]; + TB = W[5]; + rio[WS(ios, 3)] = FNMS(TB, TC, Tz * TA); + iio[-WS(ios, 3)] = FMA(Tz, TC, TB * TA); + } + { + E TS, TW, TP, TT; + TS = TQ - TR; + TW = TU - TV; + TP = W[8]; + TT = W[9]; + iio[-WS(ios, 1)] = FMA(TP, TS, TT * TW); + rio[WS(ios, 5)] = FNMS(TT, TS, TP * TW); + } + { + E TG, TK, TD, TH; + TG = TE - TF; + TK = TI + TJ; + TD = W[0]; + TH = W[1]; + rio[WS(ios, 1)] = FNMS(TH, TK, TD * TG); + iio[-WS(ios, 5)] = FMA(TD, TK, TH * TG); + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 7}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 7, "hb_7", twinstr, {36, 24, 36, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_7) (planner *p) { + X(khc2hc_dif_register) (p, hb_7, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_8.c b/src/fftw3/rdft/codelets/hc2r/hb_8.c new file mode 100644 index 0000000..58cc25e --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_8.c @@ -0,0 +1,197 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:28 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 8 -dif -name hb_8 -include hb.h */ + +/* + * This function contains 66 FP additions, 32 FP multiplications, + * (or, 52 additions, 18 multiplications, 14 fused multiply/add), + * 30 stack variables, and 32 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_8(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 14) { + E T7, T18, T1d, Tg, Tx, TT, TY, TG, Te, TZ, T10, Tn, Tq, TM, TP; + E TH; + { + E T3, TR, Tt, TX, T6, TW, Tw, TS; + { + E T1, T2, Tr, Ts; + T1 = rio[0]; + T2 = iio[-WS(ios, 4)]; + T3 = T1 + T2; + TR = T1 - T2; + Tr = iio[0]; + Ts = rio[WS(ios, 4)]; + Tt = Tr - Ts; + TX = Tr + Ts; + } + { + E T4, T5, Tu, Tv; + T4 = rio[WS(ios, 2)]; + T5 = iio[-WS(ios, 6)]; + T6 = T4 + T5; + TW = T4 - T5; + Tu = iio[-WS(ios, 2)]; + Tv = rio[WS(ios, 6)]; + Tw = Tu - Tv; + TS = Tu + Tv; + } + T7 = T3 + T6; + T18 = TX - TW; + T1d = TR + TS; + Tg = T3 - T6; + Tx = Tt - Tw; + TT = TR - TS; + TY = TW + TX; + TG = Tt + Tw; + } + { + E Ta, TO, Tj, TN, Td, TK, Tm, TL; + { + E T8, T9, Th, Ti; + T8 = rio[WS(ios, 1)]; + T9 = iio[-WS(ios, 5)]; + Ta = T8 + T9; + TO = T8 - T9; + Th = iio[-WS(ios, 1)]; + Ti = rio[WS(ios, 5)]; + Tj = Th - Ti; + TN = Th + Ti; + } + { + E Tb, Tc, Tk, Tl; + Tb = iio[-WS(ios, 7)]; + Tc = rio[WS(ios, 3)]; + Td = Tb + Tc; + TK = Tb - Tc; + Tk = iio[-WS(ios, 3)]; + Tl = rio[WS(ios, 7)]; + Tm = Tk - Tl; + TL = Tl + Tk; + } + Te = Ta + Td; + TZ = TO + TN; + T10 = TK + TL; + Tn = Tj - Tm; + Tq = Td - Ta; + TM = TK - TL; + TP = TN - TO; + TH = Tj + Tm; + } + rio[0] = T7 + Te; + iio[-WS(ios, 7)] = TH + TG; + { + E To, Ty, Tf, Tp; + To = Tg + Tn; + Ty = Tq + Tx; + Tf = W[10]; + Tp = W[11]; + rio[WS(ios, 6)] = FNMS(Tp, Ty, Tf * To); + iio[-WS(ios, 1)] = FMA(Tp, To, Tf * Ty); + } + { + E TE, TI, TD, TF; + TE = T7 - Te; + TI = TG - TH; + TD = W[6]; + TF = W[7]; + rio[WS(ios, 4)] = FNMS(TF, TI, TD * TE); + iio[-WS(ios, 3)] = FMA(TF, TE, TD * TI); + } + { + E TA, TC, Tz, TB; + TA = Tg - Tn; + TC = Tx - Tq; + Tz = W[2]; + TB = W[3]; + rio[WS(ios, 2)] = FNMS(TB, TC, Tz * TA); + iio[-WS(ios, 5)] = FMA(TB, TA, Tz * TC); + } + { + E TU, T16, T12, T14, TQ, T11; + TQ = KP707106781 * (TM - TP); + TU = TQ + TT; + T16 = TT - TQ; + T11 = KP707106781 * (TZ - T10); + T12 = TY + T11; + T14 = TY - T11; + { + E TJ, TV, T13, T15; + TJ = W[0]; + TV = W[1]; + rio[WS(ios, 1)] = FNMS(TV, T12, TJ * TU); + iio[-WS(ios, 6)] = FMA(TJ, T12, TV * TU); + T13 = W[8]; + T15 = W[9]; + iio[-WS(ios, 2)] = FMA(T13, T14, T15 * T16); + rio[WS(ios, 5)] = FNMS(T15, T14, T13 * T16); + } + } + { + E T1a, T1i, T1e, T1g, T19, T1c; + T19 = KP707106781 * (TP + TM); + T1a = T18 + T19; + T1i = T18 - T19; + T1c = KP707106781 * (TZ + T10); + T1e = T1c + T1d; + T1g = T1d - T1c; + { + E T17, T1b, T1f, T1h; + T17 = W[12]; + T1b = W[13]; + iio[0] = FMA(T17, T1a, T1b * T1e); + rio[WS(ios, 7)] = FNMS(T1b, T1a, T17 * T1e); + T1f = W[4]; + T1h = W[5]; + rio[WS(ios, 3)] = FNMS(T1h, T1i, T1f * T1g); + iio[-WS(ios, 4)] = FMA(T1f, T1i, T1h * T1g); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 8}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 8, "hb_8", twinstr, {52, 18, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_8) (planner *p) { + X(khc2hc_dif_register) (p, hb_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hb_9.c b/src/fftw3/rdft/codelets/hc2r/hb_9.c new file mode 100644 index 0000000..ed3eb98 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hb_9.c @@ -0,0 +1,248 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:31 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -sign 1 -n 9 -dif -name hb_9 -include hb.h */ + +/* + * This function contains 96 FP additions, 72 FP multiplications, + * (or, 60 additions, 36 multiplications, 36 fused multiply/add), + * 53 stack variables, and 36 memory accesses + */ +/* + * Generator Id's : + * $Id: hb_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hb_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hb.h" + +static const R *hb_9(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP642787609, +0.642787609686539326322643409907263432907559884); + DK(KP766044443, +0.766044443118978035202392650555416673935832457); + DK(KP984807753, +0.984807753012208059366743024589523013670643252); + DK(KP173648177, +0.173648177666930348851716626769314796000375677); + DK(KP342020143, +0.342020143325668733044099614682259580763083368); + DK(KP939692620, +0.939692620785908384054109277324731469936208134); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 16) { + E T5, T1z, Tm, T18, TQ, T1i, Ta, Tf, Tg, T1A, T1B, T1C, Tx, TS, T1e; + E T1k, T1b, T1j, TI, TR; + { + E T1, TM, T4, TP, Tl, TN, Ti, TO; + T1 = rio[0]; + TM = iio[0]; + { + E T2, T3, Tj, Tk; + T2 = rio[WS(ios, 3)]; + T3 = iio[-WS(ios, 6)]; + T4 = T2 + T3; + TP = KP866025403 * (T2 - T3); + Tj = rio[WS(ios, 6)]; + Tk = iio[-WS(ios, 3)]; + Tl = KP866025403 * (Tj + Tk); + TN = Tj - Tk; + } + T5 = T1 + T4; + T1z = TM - TN; + Ti = FNMS(KP500000000, T4, T1); + Tm = Ti + Tl; + T18 = Ti - Tl; + TO = FMA(KP500000000, TN, TM); + TQ = TO - TP; + T1i = TP + TO; + } + { + E T6, T9, Ty, TG, TD, TE, TB, TF, Tb, Te, Tn, Tv, Tt, Ts, Tq; + E Tu; + { + E T7, T8, Tz, TA; + T6 = rio[WS(ios, 1)]; + T7 = rio[WS(ios, 4)]; + T8 = iio[-WS(ios, 7)]; + T9 = T7 + T8; + Ty = FNMS(KP500000000, T9, T6); + TG = KP866025403 * (T7 - T8); + TD = iio[-WS(ios, 1)]; + Tz = rio[WS(ios, 7)]; + TA = iio[-WS(ios, 4)]; + TE = Tz - TA; + TB = KP866025403 * (Tz + TA); + TF = FMA(KP500000000, TE, TD); + } + { + E Tc, Td, To, Tp; + Tb = rio[WS(ios, 2)]; + Tc = iio[-WS(ios, 5)]; + Td = iio[-WS(ios, 8)]; + Te = Tc + Td; + Tn = FNMS(KP500000000, Te, Tb); + Tv = KP866025403 * (Tc - Td); + Tt = iio[-WS(ios, 2)]; + To = rio[WS(ios, 5)]; + Tp = rio[WS(ios, 8)]; + Ts = To + Tp; + Tq = KP866025403 * (To - Tp); + Tu = FMA(KP500000000, Ts, Tt); + } + { + E Tr, Tw, T1c, T1d; + Ta = T6 + T9; + Tf = Tb + Te; + Tg = Ta + Tf; + T1A = TD - TE; + T1B = Tt - Ts; + T1C = T1A + T1B; + Tr = Tn - Tq; + Tw = Tu - Tv; + Tx = FMA(KP939692620, Tr, KP342020143 * Tw); + TS = FNMS(KP939692620, Tw, KP342020143 * Tr); + T1c = Tn + Tq; + T1d = Tv + Tu; + T1e = FNMS(KP984807753, T1d, KP173648177 * T1c); + T1k = FMA(KP984807753, T1c, KP173648177 * T1d); + { + E T19, T1a, TC, TH; + T19 = Ty - TB; + T1a = TG + TF; + T1b = FNMS(KP642787609, T1a, KP766044443 * T19); + T1j = FMA(KP766044443, T1a, KP642787609 * T19); + TC = Ty + TB; + TH = TF - TG; + TI = FNMS(KP984807753, TH, KP173648177 * TC); + TR = FMA(KP173648177, TH, KP984807753 * TC); + } + } + } + rio[0] = T5 + Tg; + { + E TX, T11, TK, T10, TU, TW, TJ, TT, Th, TL; + TX = KP866025403 * (TI + Tx); + T11 = KP866025403 * (TS - TR); + TJ = Tx - TI; + TK = Tm - TJ; + T10 = FMA(KP500000000, TJ, Tm); + TT = TR + TS; + TU = TQ + TT; + TW = FNMS(KP500000000, TT, TQ); + Th = W[2]; + TL = W[3]; + rio[WS(ios, 2)] = FNMS(TL, TU, Th * TK); + iio[-WS(ios, 6)] = FMA(Th, TU, TL * TK); + { + E T14, T16, T13, T15; + T14 = TW + TX; + T16 = T11 + T10; + T13 = W[8]; + T15 = W[9]; + iio[-WS(ios, 3)] = FMA(T13, T14, T15 * T16); + rio[WS(ios, 5)] = FNMS(T15, T14, T13 * T16); + } + { + E TY, T12, TV, TZ; + TY = TW - TX; + T12 = T10 - T11; + TV = W[14]; + TZ = W[15]; + iio[0] = FMA(TV, TY, TZ * T12); + rio[WS(ios, 8)] = FNMS(TZ, TY, TV * T12); + } + } + iio[-WS(ios, 8)] = T1z + T1C; + { + E T1G, T1O, T1K, T1M; + { + E T1E, T1F, T1I, T1J; + T1E = FNMS(KP500000000, T1C, T1z); + T1F = KP866025403 * (Ta - Tf); + T1G = T1E - T1F; + T1O = T1F + T1E; + T1I = FNMS(KP500000000, Tg, T5); + T1J = KP866025403 * (T1B - T1A); + T1K = T1I - T1J; + T1M = T1I + T1J; + } + { + E T1D, T1H, T1L, T1N; + T1D = W[10]; + T1H = W[11]; + iio[-WS(ios, 2)] = FMA(T1D, T1G, T1H * T1K); + rio[WS(ios, 6)] = FNMS(T1H, T1G, T1D * T1K); + T1L = W[4]; + T1N = W[5]; + rio[WS(ios, 3)] = FNMS(T1N, T1O, T1L * T1M); + iio[-WS(ios, 5)] = FMA(T1L, T1O, T1N * T1M); + } + } + { + E T1p, T1t, T1g, T1s, T1m, T1o, T1f, T1l, T17, T1h; + T1p = KP866025403 * (T1b - T1e); + T1t = KP866025403 * (T1k - T1j); + T1f = T1b + T1e; + T1g = T18 + T1f; + T1s = FNMS(KP500000000, T1f, T18); + T1l = T1j + T1k; + T1m = T1i + T1l; + T1o = FNMS(KP500000000, T1l, T1i); + T17 = W[0]; + T1h = W[1]; + rio[WS(ios, 1)] = FNMS(T1h, T1m, T17 * T1g); + iio[-WS(ios, 7)] = FMA(T1h, T1g, T17 * T1m); + { + E T1q, T1u, T1n, T1r; + T1q = T1o - T1p; + T1u = T1s - T1t; + T1n = W[12]; + T1r = W[13]; + iio[-WS(ios, 1)] = FMA(T1n, T1q, T1r * T1u); + rio[WS(ios, 7)] = FNMS(T1r, T1q, T1n * T1u); + } + { + E T1w, T1y, T1v, T1x; + T1w = T1s + T1t; + T1y = T1p + T1o; + T1v = W[6]; + T1x = W[7]; + rio[WS(ios, 4)] = FNMS(T1x, T1y, T1v * T1w); + iio[-WS(ios, 4)] = FMA(T1v, T1y, T1x * T1w); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 9}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 9, "hb_9", twinstr, {60, 36, 36, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hb_9) (planner *p) { + X(khc2hc_dif_register) (p, hb_9, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_10.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_10.c new file mode 100644 index 0000000..df8c872 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_10.c @@ -0,0 +1,113 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:05 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 10 -name hc2rIII_10 -dft-III -include hc2rIII.h */ + +/* + * This function contains 32 FP additions, 16 FP multiplications, + * (or, 26 additions, 10 multiplications, 6 fused multiply/add), + * 22 stack variables, and 20 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_10(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP1_902113032, +1.902113032590307144232878666758764286811397268); + DK(KP1_175570504, +1.175570504584946258337411909278145537195304875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_118033988, +1.118033988749894848204586834365638117720309180); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T1, To, T8, Tq, Ta, Tp, Te, Ts, Th, Tn; + T1 = ri[WS(ris, 2)]; + To = ii[WS(iis, 2)]; + { + E T2, T3, T4, T5, T6, T7; + T2 = ri[WS(ris, 4)]; + T3 = ri[0]; + T4 = T2 + T3; + T5 = ri[WS(ris, 3)]; + T6 = ri[WS(ris, 1)]; + T7 = T5 + T6; + T8 = T4 + T7; + Tq = T5 - T6; + Ta = KP1_118033988 * (T7 - T4); + Tp = T2 - T3; + } + { + E Tc, Td, Tm, Tf, Tg, Tl; + Tc = ii[WS(iis, 4)]; + Td = ii[0]; + Tm = Tc + Td; + Tf = ii[WS(iis, 1)]; + Tg = ii[WS(iis, 3)]; + Tl = Tg + Tf; + Te = Tc - Td; + Ts = KP1_118033988 * (Tl + Tm); + Th = Tf - Tg; + Tn = Tl - Tm; + } + O[0] = KP2_000000000 * (T1 + T8); + O[WS(os, 5)] = KP2_000000000 * (Tn - To); + { + E Ti, Tj, Tb, Tk, T9; + Ti = FNMS(KP1_902113032, Th, KP1_175570504 * Te); + Tj = FMA(KP1_175570504, Th, KP1_902113032 * Te); + T9 = FNMS(KP2_000000000, T1, KP500000000 * T8); + Tb = T9 - Ta; + Tk = T9 + Ta; + O[WS(os, 2)] = Tb + Ti; + O[WS(os, 6)] = Tk + Tj; + O[WS(os, 8)] = Ti - Tb; + O[WS(os, 4)] = Tj - Tk; + } + { + E Tr, Tv, Tu, Tw, Tt; + Tr = FMA(KP1_902113032, Tp, KP1_175570504 * Tq); + Tv = FNMS(KP1_175570504, Tp, KP1_902113032 * Tq); + Tt = FMA(KP500000000, Tn, KP2_000000000 * To); + Tu = Ts + Tt; + Tw = Tt - Ts; + O[WS(os, 1)] = -(Tr + Tu); + O[WS(os, 7)] = Tw - Tv; + O[WS(os, 9)] = Tr - Tu; + O[WS(os, 3)] = Tv + Tw; + } + } +} + +static const khc2r_desc desc = { 10, "hc2rIII_10", {26, 10, 6, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_10) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_10, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_12.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_12.c new file mode 100644 index 0000000..0a36bf0 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_12.c @@ -0,0 +1,130 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:07 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 12 -name hc2rIII_12 -dft-III -include hc2rIII.h */ + +/* + * This function contains 42 FP additions, 20 FP multiplications, + * (or, 38 additions, 16 multiplications, 4 fused multiply/add), + * 25 stack variables, and 24 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_12(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T5, Tw, Tb, Te, Tx, Ts, Ta, TA, Tg, Tj, Tz, Tp, Tt, Tu; + { + E T1, T2, T3, T4; + T1 = ri[WS(ris, 1)]; + T2 = ri[WS(ris, 5)]; + T3 = ri[WS(ris, 2)]; + T4 = T2 + T3; + T5 = T1 + T4; + Tw = KP866025403 * (T2 - T3); + Tb = FNMS(KP500000000, T4, T1); + } + { + E Tq, Tc, Td, Tr; + Tq = ii[WS(iis, 1)]; + Tc = ii[WS(iis, 5)]; + Td = ii[WS(iis, 2)]; + Tr = Td - Tc; + Te = KP866025403 * (Tc + Td); + Tx = FMA(KP500000000, Tr, Tq); + Ts = Tq - Tr; + } + { + E T6, T7, T8, T9; + T6 = ri[WS(ris, 4)]; + T7 = ri[0]; + T8 = ri[WS(ris, 3)]; + T9 = T7 + T8; + Ta = T6 + T9; + TA = KP866025403 * (T7 - T8); + Tg = FNMS(KP500000000, T9, T6); + } + { + E To, Th, Ti, Tn; + To = ii[WS(iis, 4)]; + Th = ii[0]; + Ti = ii[WS(iis, 3)]; + Tn = Ti - Th; + Tj = KP866025403 * (Th + Ti); + Tz = FMA(KP500000000, Tn, To); + Tp = Tn - To; + } + O[0] = KP2_000000000 * (T5 + Ta); + O[WS(os, 6)] = KP2_000000000 * (Ts + Tp); + Tt = Tp - Ts; + Tu = T5 - Ta; + O[WS(os, 3)] = KP1_414213562 * (Tt - Tu); + O[WS(os, 9)] = KP1_414213562 * (Tu + Tt); + { + E Tf, Tk, Tv, Ty, TB, TC; + Tf = Tb - Te; + Tk = Tg + Tj; + Tv = Tf - Tk; + Ty = Tw + Tx; + TB = Tz - TA; + TC = Ty + TB; + O[WS(os, 4)] = -(KP2_000000000 * (Tf + Tk)); + O[WS(os, 10)] = KP2_000000000 * (TB - Ty); + O[WS(os, 1)] = KP1_414213562 * (Tv - TC); + O[WS(os, 7)] = KP1_414213562 * (Tv + TC); + } + { + E Tl, Tm, TF, TD, TE, TG; + Tl = Tb + Te; + Tm = Tg - Tj; + TF = Tm - Tl; + TD = TA + Tz; + TE = Tx - Tw; + TG = TE + TD; + O[WS(os, 8)] = KP2_000000000 * (Tl + Tm); + O[WS(os, 5)] = KP1_414213562 * (TF + TG); + O[WS(os, 2)] = KP2_000000000 * (TD - TE); + O[WS(os, 11)] = KP1_414213562 * (TF - TG); + } + } +} + +static const khc2r_desc desc = { 12, "hc2rIII_12", {38, 16, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_12) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_12, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_15.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_15.c new file mode 100644 index 0000000..9a94a9a --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_15.c @@ -0,0 +1,169 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 15 -name hc2rIII_15 -dft-III -include hc2rIII.h */ + +/* + * This function contains 64 FP additions, 26 FP multiplications, + * (or, 49 additions, 11 multiplications, 15 fused multiply/add), + * 47 stack variables, and 30 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_15(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + DK(KP433012701, +0.433012701892219323381861585376468091735701313); + DK(KP968245836, +0.968245836551854221294816349945599902708230426); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP1_647278207, +1.647278207092663851754840078556380006059321028); + DK(KP1_018073920, +1.018073920910254366901961726787815297021466329); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_118033988, +1.118033988749894848204586834365638117720309180); + DK(KP1_175570504, +1.175570504584946258337411909278145537195304875); + DK(KP1_902113032, +1.902113032590307144232878666758764286811397268); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E Tv, TD, T5, Ts, TC, T6, Tf, TW, TK, Td, Tg, TP, To, TN, TA; + E TO, TQ, Tt, Tu, T12, Te, T11; + Tt = ii[WS(iis, 4)]; + Tu = ii[WS(iis, 1)]; + Tv = FMA(KP1_902113032, Tt, KP1_175570504 * Tu); + TD = FNMS(KP1_175570504, Tt, KP1_902113032 * Tu); + { + E T1, T4, Tq, T2, T3, Tr; + T1 = ri[WS(ris, 7)]; + T2 = ri[WS(ris, 4)]; + T3 = ri[WS(ris, 1)]; + T4 = T2 + T3; + Tq = KP1_118033988 * (T2 - T3); + T5 = FMA(KP2_000000000, T4, T1); + Tr = FNMS(KP500000000, T4, T1); + Ts = Tq + Tr; + TC = Tr - Tq; + } + { + E Tc, TJ, T9, TI; + T6 = ri[WS(ris, 2)]; + { + E Ta, Tb, T7, T8; + Ta = ri[WS(ris, 3)]; + Tb = ri[WS(ris, 6)]; + Tc = Ta + Tb; + TJ = Ta - Tb; + T7 = ri[0]; + T8 = ri[WS(ris, 5)]; + T9 = T7 + T8; + TI = T7 - T8; + } + Tf = KP559016994 * (T9 - Tc); + TW = FNMS(KP1_647278207, TJ, KP1_018073920 * TI); + TK = FMA(KP1_647278207, TI, KP1_018073920 * TJ); + Td = T9 + Tc; + Tg = FNMS(KP250000000, Td, T6); + } + { + E Tn, TM, Tk, TL; + TP = ii[WS(iis, 2)]; + { + E Tl, Tm, Ti, Tj; + Tl = ii[WS(iis, 3)]; + Tm = ii[WS(iis, 6)]; + Tn = Tl - Tm; + TM = Tl + Tm; + Ti = ii[0]; + Tj = ii[WS(iis, 5)]; + Tk = Ti + Tj; + TL = Ti - Tj; + } + To = FMA(KP951056516, Tk, KP587785252 * Tn); + TN = KP968245836 * (TL - TM); + TA = FNMS(KP587785252, Tk, KP951056516 * Tn); + TO = TL + TM; + TQ = FMA(KP433012701, TO, KP1_732050807 * TP); + } + T12 = KP1_732050807 * (TP - TO); + Te = T6 + Td; + T11 = Te - T5; + O[0] = FMA(KP2_000000000, Te, T5); + O[WS(os, 10)] = T12 - T11; + O[WS(os, 5)] = T11 + T12; + { + E TE, TG, TB, TF, TY, T10, Tz, TX, TV, TZ; + TE = TC - TD; + TG = TC + TD; + Tz = Tg - Tf; + TB = Tz + TA; + TF = TA - Tz; + TX = TN + TQ; + TY = TW - TX; + T10 = TW + TX; + O[WS(os, 12)] = FMA(KP2_000000000, TB, TE); + O[WS(os, 3)] = FMS(KP2_000000000, TF, TG); + TV = TE - TB; + O[WS(os, 2)] = TV + TY; + O[WS(os, 7)] = TY - TV; + TZ = TF + TG; + O[WS(os, 8)] = TZ - T10; + O[WS(os, 13)] = -(TZ + T10); + } + { + E Tw, Ty, Tp, Tx, TS, TU, Th, TR, TH, TT; + Tw = Ts - Tv; + Ty = Ts + Tv; + Th = Tf + Tg; + Tp = Th + To; + Tx = Th - To; + TR = TN - TQ; + TS = TK + TR; + TU = TR - TK; + O[WS(os, 9)] = -(FMA(KP2_000000000, Tp, Tw)); + O[WS(os, 6)] = FMA(KP2_000000000, Tx, Ty); + TH = Tx - Ty; + O[WS(os, 11)] = TH - TS; + O[WS(os, 1)] = TH + TS; + TT = Tw - Tp; + O[WS(os, 4)] = TT - TU; + O[WS(os, 14)] = TT + TU; + } + } +} + +static const khc2r_desc desc = { 15, "hc2rIII_15", {49, 11, 15, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_15) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_15, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_16.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_16.c new file mode 100644 index 0000000..a81a4a1 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_16.c @@ -0,0 +1,173 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:13 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 16 -name hc2rIII_16 -dft-III -include hc2rIII.h */ + +/* + * This function contains 66 FP additions, 32 FP multiplications, + * (or, 54 additions, 20 multiplications, 12 fused multiply/add), + * 40 stack variables, and 32 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_16(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T7, TW, T13, Tj, TD, TK, TP, TH, Te, TX, T12, To, Tt, Tx, TS; + E Tw, TT, TY; + { + E T3, Tf, TC, TV, T6, Tz, Ti, TU; + { + E T1, T2, TA, TB; + T1 = ri[0]; + T2 = ri[WS(ris, 7)]; + T3 = T1 + T2; + Tf = T1 - T2; + TA = ii[0]; + TB = ii[WS(iis, 7)]; + TC = TA + TB; + TV = TB - TA; + } + { + E T4, T5, Tg, Th; + T4 = ri[WS(ris, 4)]; + T5 = ri[WS(ris, 3)]; + T6 = T4 + T5; + Tz = T4 - T5; + Tg = ii[WS(iis, 4)]; + Th = ii[WS(iis, 3)]; + Ti = Tg + Th; + TU = Tg - Th; + } + T7 = T3 + T6; + TW = TU + TV; + T13 = TV - TU; + Tj = Tf - Ti; + TD = Tz + TC; + TK = Tz - TC; + TP = T3 - T6; + TH = Tf + Ti; + } + { + E Ta, Tk, Tn, TR, Td, Tp, Ts, TQ; + { + E T8, T9, Tl, Tm; + T8 = ri[WS(ris, 2)]; + T9 = ri[WS(ris, 5)]; + Ta = T8 + T9; + Tk = T8 - T9; + Tl = ii[WS(iis, 2)]; + Tm = ii[WS(iis, 5)]; + Tn = Tl + Tm; + TR = Tl - Tm; + } + { + E Tb, Tc, Tq, Tr; + Tb = ri[WS(ris, 1)]; + Tc = ri[WS(ris, 6)]; + Td = Tb + Tc; + Tp = Tb - Tc; + Tq = ii[WS(iis, 1)]; + Tr = ii[WS(iis, 6)]; + Ts = Tq + Tr; + TQ = Tr - Tq; + } + Te = Ta + Td; + TX = Ta - Td; + T12 = TR + TQ; + To = Tk - Tn; + Tt = Tp - Ts; + Tx = Tp + Ts; + TS = TQ - TR; + Tw = Tk + Tn; + } + O[0] = KP2_000000000 * (T7 + Te); + O[WS(os, 8)] = KP2_000000000 * (T13 - T12); + TT = TP + TS; + TY = TW - TX; + O[WS(os, 2)] = FMA(KP1_847759065, TT, KP765366864 * TY); + O[WS(os, 10)] = FNMS(KP765366864, TT, KP1_847759065 * TY); + { + E T11, T14, TZ, T10; + T11 = T7 - Te; + T14 = T12 + T13; + O[WS(os, 4)] = KP1_414213562 * (T11 + T14); + O[WS(os, 12)] = KP1_414213562 * (T14 - T11); + TZ = TP - TS; + T10 = TX + TW; + O[WS(os, 6)] = FMA(KP765366864, TZ, KP1_847759065 * T10); + O[WS(os, 14)] = FNMS(KP1_847759065, TZ, KP765366864 * T10); + } + { + E TJ, TN, TM, TO, TI, TL; + TI = KP707106781 * (Tw + Tx); + TJ = TH - TI; + TN = TH + TI; + TL = KP707106781 * (To - Tt); + TM = TK - TL; + TO = TL + TK; + O[WS(os, 3)] = FMA(KP1_662939224, TJ, KP1_111140466 * TM); + O[WS(os, 15)] = FNMS(KP1_961570560, TN, KP390180644 * TO); + O[WS(os, 11)] = FNMS(KP1_111140466, TJ, KP1_662939224 * TM); + O[WS(os, 7)] = FMA(KP390180644, TN, KP1_961570560 * TO); + } + { + E Tv, TF, TE, TG, Tu, Ty; + Tu = KP707106781 * (To + Tt); + Tv = Tj + Tu; + TF = Tj - Tu; + Ty = KP707106781 * (Tw - Tx); + TE = Ty + TD; + TG = Ty - TD; + O[WS(os, 1)] = FNMS(KP390180644, TE, KP1_961570560 * Tv); + O[WS(os, 13)] = FNMS(KP1_662939224, TF, KP1_111140466 * TG); + O[WS(os, 9)] = -(FMA(KP390180644, Tv, KP1_961570560 * TE)); + O[WS(os, 5)] = FMA(KP1_111140466, TF, KP1_662939224 * TG); + } + } +} + +static const khc2r_desc desc = { 16, "hc2rIII_16", {54, 20, 12, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_16) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_16, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_2.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_2.c new file mode 100644 index 0000000..c01ed70 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_2.c @@ -0,0 +1,59 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:54 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 2 -name hc2rIII_2 -dft-III -include hc2rIII.h */ + +/* + * This function contains 0 FP additions, 2 FP multiplications, + * (or, 0 additions, 2 multiplications, 0 fused multiply/add), + * 4 stack variables, and 4 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_2.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_2.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_2.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_2(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T1, T2; + T1 = ri[0]; + O[0] = KP2_000000000 * T1; + T2 = ii[0]; + O[WS(os, 1)] = -(KP2_000000000 * T2); + } +} + +static const khc2r_desc desc = { 2, "hc2rIII_2", {0, 2, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_2) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_2, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_3.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_3.c new file mode 100644 index 0000000..05b761d --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_3.c @@ -0,0 +1,64 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:54 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 3 -name hc2rIII_3 -dft-III -include hc2rIII.h */ + +/* + * This function contains 4 FP additions, 2 FP multiplications, + * (or, 3 additions, 1 multiplications, 1 fused multiply/add), + * 8 stack variables, and 6 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_3(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T5, T1, T2, T3, T4; + T4 = ii[0]; + T5 = KP1_732050807 * T4; + T1 = ri[WS(ris, 1)]; + T2 = ri[0]; + T3 = T2 - T1; + O[0] = FMA(KP2_000000000, T2, T1); + O[WS(os, 2)] = -(T3 + T5); + O[WS(os, 1)] = T3 - T5; + } +} + +static const khc2r_desc desc = { 3, "hc2rIII_3", {3, 1, 1, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_3) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_3, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_32.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_32.c new file mode 100644 index 0000000..ab9409b --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_32.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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:16 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 32 -name hc2rIII_32 -dft-III -include hc2rIII.h */ + +/* + * This function contains 174 FP additions, 84 FP multiplications, + * (or, 138 additions, 48 multiplications, 36 fused multiply/add), + * 66 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_32(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_913880671, +1.913880671464417729871595773960539938965698411); + DK(KP580569354, +0.580569354508924735272384751634790549382952557); + DK(KP942793473, +0.942793473651995297112775251810508755314920638); + DK(KP1_763842528, +1.763842528696710059425513727320776699016885241); + DK(KP1_546020906, +1.546020906725473921621813219516939601942082586); + DK(KP1_268786568, +1.268786568327290996430343226450986741351374190); + DK(KP196034280, +0.196034280659121203988391127777283691722273346); + DK(KP1_990369453, +1.990369453344393772489673906218959843150949737); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T7, T2i, T2F, Tz, T1k, T1I, T1Z, T1x, Te, T22, T2E, T2j, T1f, T1y, TK; + E T1J, Tm, T2B, TW, T1a, T1C, T1L, T28, T2l, Tt, T2A, T17, T1b, T1F, T1M; + E T2d, T2m; + { + E T3, Tv, T1j, T2h, T6, T1g, Ty, T2g; + { + E T1, T2, T1h, T1i; + T1 = ri[0]; + T2 = ri[WS(ris, 15)]; + T3 = T1 + T2; + Tv = T1 - T2; + T1h = ii[0]; + T1i = ii[WS(iis, 15)]; + T1j = T1h + T1i; + T2h = T1i - T1h; + } + { + E T4, T5, Tw, Tx; + T4 = ri[WS(ris, 8)]; + T5 = ri[WS(ris, 7)]; + T6 = T4 + T5; + T1g = T4 - T5; + Tw = ii[WS(iis, 8)]; + Tx = ii[WS(iis, 7)]; + Ty = Tw + Tx; + T2g = Tw - Tx; + } + T7 = T3 + T6; + T2i = T2g + T2h; + T2F = T2h - T2g; + Tz = Tv - Ty; + T1k = T1g + T1j; + T1I = T1g - T1j; + T1Z = T3 - T6; + T1x = Tv + Ty; + } + { + E Ta, TA, TD, T21, Td, TF, TI, T20; + { + E T8, T9, TB, TC; + T8 = ri[WS(ris, 4)]; + T9 = ri[WS(ris, 11)]; + Ta = T8 + T9; + TA = T8 - T9; + TB = ii[WS(iis, 4)]; + TC = ii[WS(iis, 11)]; + TD = TB + TC; + T21 = TB - TC; + } + { + E Tb, Tc, TG, TH; + Tb = ri[WS(ris, 3)]; + Tc = ri[WS(ris, 12)]; + Td = Tb + Tc; + TF = Tb - Tc; + TG = ii[WS(iis, 3)]; + TH = ii[WS(iis, 12)]; + TI = TG + TH; + T20 = TH - TG; + } + Te = Ta + Td; + T22 = T20 - T21; + T2E = T21 + T20; + T2j = Ta - Td; + { + E T1d, T1e, TE, TJ; + T1d = TA + TD; + T1e = TF + TI; + T1f = KP707106781 * (T1d - T1e); + T1y = KP707106781 * (T1d + T1e); + TE = TA - TD; + TJ = TF - TI; + TK = KP707106781 * (TE + TJ); + T1J = KP707106781 * (TE - TJ); + } + } + { + E Ti, TM, TU, T25, Tl, TR, TP, T26, TQ, TV; + { + E Tg, Th, TS, TT; + Tg = ri[WS(ris, 2)]; + Th = ri[WS(ris, 13)]; + Ti = Tg + Th; + TM = Tg - Th; + TS = ii[WS(iis, 2)]; + TT = ii[WS(iis, 13)]; + TU = TS + TT; + T25 = TS - TT; + } + { + E Tj, Tk, TN, TO; + Tj = ri[WS(ris, 10)]; + Tk = ri[WS(ris, 5)]; + Tl = Tj + Tk; + TR = Tj - Tk; + TN = ii[WS(iis, 10)]; + TO = ii[WS(iis, 5)]; + TP = TN + TO; + T26 = TN - TO; + } + Tm = Ti + Tl; + T2B = T26 + T25; + TQ = TM - TP; + TV = TR + TU; + TW = FNMS(KP382683432, TV, KP923879532 * TQ); + T1a = FMA(KP382683432, TQ, KP923879532 * TV); + { + E T1A, T1B, T24, T27; + T1A = TM + TP; + T1B = TU - TR; + T1C = FNMS(KP923879532, T1B, KP382683432 * T1A); + T1L = FMA(KP923879532, T1A, KP382683432 * T1B); + T24 = Ti - Tl; + T27 = T25 - T26; + T28 = T24 - T27; + T2l = T24 + T27; + } + } + { + E Tp, TX, T15, T2a, Ts, T12, T10, T2b, T11, T16; + { + E Tn, To, T13, T14; + Tn = ri[WS(ris, 1)]; + To = ri[WS(ris, 14)]; + Tp = Tn + To; + TX = Tn - To; + T13 = ii[WS(iis, 1)]; + T14 = ii[WS(iis, 14)]; + T15 = T13 + T14; + T2a = T14 - T13; + } + { + E Tq, Tr, TY, TZ; + Tq = ri[WS(ris, 6)]; + Tr = ri[WS(ris, 9)]; + Ts = Tq + Tr; + T12 = Tq - Tr; + TY = ii[WS(iis, 6)]; + TZ = ii[WS(iis, 9)]; + T10 = TY + TZ; + T2b = TY - TZ; + } + Tt = Tp + Ts; + T2A = T2b + T2a; + T11 = TX - T10; + T16 = T12 - T15; + T17 = FMA(KP923879532, T11, KP382683432 * T16); + T1b = FNMS(KP382683432, T11, KP923879532 * T16); + { + E T1D, T1E, T29, T2c; + T1D = TX + T10; + T1E = T12 + T15; + T1F = FNMS(KP923879532, T1E, KP382683432 * T1D); + T1M = FMA(KP923879532, T1D, KP382683432 * T1E); + T29 = Tp - Ts; + T2c = T2a - T2b; + T2d = T29 + T2c; + T2m = T2c - T29; + } + } + { + E Tf, Tu, T2L, T2M, T2N, T2O; + Tf = T7 + Te; + Tu = Tm + Tt; + T2L = Tf - Tu; + T2M = T2B + T2A; + T2N = T2F - T2E; + T2O = T2M + T2N; + O[0] = KP2_000000000 * (Tf + Tu); + O[WS(os, 16)] = KP2_000000000 * (T2N - T2M); + O[WS(os, 8)] = KP1_414213562 * (T2L + T2O); + O[WS(os, 24)] = KP1_414213562 * (T2O - T2L); + } + { + E T2t, T2x, T2w, T2y; + { + E T2r, T2s, T2u, T2v; + T2r = T1Z - T22; + T2s = KP707106781 * (T2m - T2l); + T2t = T2r + T2s; + T2x = T2r - T2s; + T2u = T2j + T2i; + T2v = KP707106781 * (T28 - T2d); + T2w = T2u - T2v; + T2y = T2v + T2u; + } + O[WS(os, 6)] = FMA(KP1_662939224, T2t, KP1_111140466 * T2w); + O[WS(os, 30)] = FNMS(KP1_961570560, T2x, KP390180644 * T2y); + O[WS(os, 22)] = FNMS(KP1_111140466, T2t, KP1_662939224 * T2w); + O[WS(os, 14)] = FMA(KP390180644, T2x, KP1_961570560 * T2y); + } + { + E T2D, T2J, T2I, T2K; + { + E T2z, T2C, T2G, T2H; + T2z = T7 - Te; + T2C = T2A - T2B; + T2D = T2z + T2C; + T2J = T2z - T2C; + T2G = T2E + T2F; + T2H = Tm - Tt; + T2I = T2G - T2H; + T2K = T2H + T2G; + } + O[WS(os, 4)] = FMA(KP1_847759065, T2D, KP765366864 * T2I); + O[WS(os, 28)] = FNMS(KP1_847759065, T2J, KP765366864 * T2K); + O[WS(os, 20)] = FNMS(KP765366864, T2D, KP1_847759065 * T2I); + O[WS(os, 12)] = FMA(KP765366864, T2J, KP1_847759065 * T2K); + } + { + E T19, T1n, T1m, T1o; + { + E TL, T18, T1c, T1l; + TL = Tz + TK; + T18 = TW + T17; + T19 = TL + T18; + T1n = TL - T18; + T1c = T1a + T1b; + T1l = T1f + T1k; + T1m = T1c + T1l; + T1o = T1c - T1l; + } + O[WS(os, 1)] = FNMS(KP196034280, T1m, KP1_990369453 * T19); + O[WS(os, 25)] = FNMS(KP1_546020906, T1n, KP1_268786568 * T1o); + O[WS(os, 17)] = -(FMA(KP196034280, T19, KP1_990369453 * T1m)); + O[WS(os, 9)] = FMA(KP1_268786568, T1n, KP1_546020906 * T1o); + } + { + E T1r, T1v, T1u, T1w; + { + E T1p, T1q, T1s, T1t; + T1p = Tz - TK; + T1q = T1b - T1a; + T1r = T1p + T1q; + T1v = T1p - T1q; + T1s = T1f - T1k; + T1t = TW - T17; + T1u = T1s - T1t; + T1w = T1t + T1s; + } + O[WS(os, 5)] = FMA(KP1_763842528, T1r, KP942793473 * T1u); + O[WS(os, 29)] = FNMS(KP1_913880671, T1v, KP580569354 * T1w); + O[WS(os, 21)] = FNMS(KP942793473, T1r, KP1_763842528 * T1u); + O[WS(os, 13)] = FMA(KP580569354, T1v, KP1_913880671 * T1w); + } + { + E T1T, T1X, T1W, T1Y; + { + E T1R, T1S, T1U, T1V; + T1R = T1x + T1y; + T1S = T1L + T1M; + T1T = T1R - T1S; + T1X = T1R + T1S; + T1U = T1J + T1I; + T1V = T1C - T1F; + T1W = T1U - T1V; + T1Y = T1V + T1U; + } + O[WS(os, 7)] = FMA(KP1_546020906, T1T, KP1_268786568 * T1W); + O[WS(os, 31)] = FNMS(KP1_990369453, T1X, KP196034280 * T1Y); + O[WS(os, 23)] = FNMS(KP1_268786568, T1T, KP1_546020906 * T1W); + O[WS(os, 15)] = FMA(KP196034280, T1X, KP1_990369453 * T1Y); + } + { + E T2f, T2p, T2o, T2q; + { + E T23, T2e, T2k, T2n; + T23 = T1Z + T22; + T2e = KP707106781 * (T28 + T2d); + T2f = T23 + T2e; + T2p = T23 - T2e; + T2k = T2i - T2j; + T2n = KP707106781 * (T2l + T2m); + T2o = T2k - T2n; + T2q = T2n + T2k; + } + O[WS(os, 2)] = FMA(KP1_961570560, T2f, KP390180644 * T2o); + O[WS(os, 26)] = FNMS(KP1_662939224, T2p, KP1_111140466 * T2q); + O[WS(os, 18)] = FNMS(KP390180644, T2f, KP1_961570560 * T2o); + O[WS(os, 10)] = FMA(KP1_111140466, T2p, KP1_662939224 * T2q); + } + { + E T1H, T1P, T1O, T1Q; + { + E T1z, T1G, T1K, T1N; + T1z = T1x - T1y; + T1G = T1C + T1F; + T1H = T1z + T1G; + T1P = T1z - T1G; + T1K = T1I - T1J; + T1N = T1L - T1M; + T1O = T1K - T1N; + T1Q = T1N + T1K; + } + O[WS(os, 3)] = FMA(KP1_913880671, T1H, KP580569354 * T1O); + O[WS(os, 27)] = FNMS(KP1_763842528, T1P, KP942793473 * T1Q); + O[WS(os, 19)] = FNMS(KP580569354, T1H, KP1_913880671 * T1O); + O[WS(os, 11)] = FMA(KP942793473, T1P, KP1_763842528 * T1Q); + } + } +} + +static const khc2r_desc desc = { 32, "hc2rIII_32", {138, 48, 36, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_32) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_4.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_4.c new file mode 100644 index 0000000..d562add --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_4.c @@ -0,0 +1,66 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:54 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 4 -name hc2rIII_4 -dft-III -include hc2rIII.h */ + +/* + * This function contains 6 FP additions, 4 FP multiplications, + * (or, 6 additions, 4 multiplications, 0 fused multiply/add), + * 9 stack variables, and 8 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_4(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T1, T2, T3, T4, T5, T6; + T1 = ri[0]; + T2 = ri[WS(ris, 1)]; + T3 = T1 - T2; + T4 = ii[0]; + T5 = ii[WS(iis, 1)]; + T6 = T4 + T5; + O[0] = KP2_000000000 * (T1 + T2); + O[WS(os, 2)] = KP2_000000000 * (T5 - T4); + O[WS(os, 1)] = KP1_414213562 * (T3 - T6); + O[WS(os, 3)] = -(KP1_414213562 * (T3 + T6)); + } +} + +static const khc2r_desc desc = { 4, "hc2rIII_4", {6, 4, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_4) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_4, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_5.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_5.c new file mode 100644 index 0000000..4fb772d --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_5.c @@ -0,0 +1,79 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:55 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 5 -name hc2rIII_5 -dft-III -include hc2rIII.h */ + +/* + * This function contains 12 FP additions, 7 FP multiplications, + * (or, 8 additions, 3 multiplications, 4 fused multiply/add), + * 18 stack variables, and 10 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_5(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_118033988, +1.118033988749894848204586834365638117720309180); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP1_175570504, +1.175570504584946258337411909278145537195304875); + DK(KP1_902113032, +1.902113032590307144232878666758764286811397268); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E Ta, Tc, T1, T4, T5, T6, Tb, T7; + { + E T8, T9, T2, T3; + T8 = ii[WS(iis, 1)]; + T9 = ii[0]; + Ta = FMA(KP1_902113032, T8, KP1_175570504 * T9); + Tc = FNMS(KP1_902113032, T9, KP1_175570504 * T8); + T1 = ri[WS(ris, 2)]; + T2 = ri[WS(ris, 1)]; + T3 = ri[0]; + T4 = T2 + T3; + T5 = FMS(KP500000000, T4, T1); + T6 = KP1_118033988 * (T3 - T2); + } + O[0] = FMA(KP2_000000000, T4, T1); + Tb = T6 - T5; + O[WS(os, 2)] = Tb + Tc; + O[WS(os, 3)] = Tc - Tb; + T7 = T5 + T6; + O[WS(os, 1)] = T7 - Ta; + O[WS(os, 4)] = -(T7 + Ta); + } +} + +static const khc2r_desc desc = { 5, "hc2rIII_5", {8, 3, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_5) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_5, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_6.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_6.c new file mode 100644 index 0000000..506bffd --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_6.c @@ -0,0 +1,77 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:58 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 6 -name hc2rIII_6 -dft-III -include hc2rIII.h */ + +/* + * This function contains 12 FP additions, 6 FP multiplications, + * (or, 10 additions, 4 multiplications, 2 fused multiply/add), + * 15 stack variables, and 12 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_6(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T1, T6, T4, T5, T9, Tb, Ta, Tc; + T1 = ri[WS(ris, 1)]; + T6 = ii[WS(iis, 1)]; + { + E T2, T3, T7, T8; + T2 = ri[WS(ris, 2)]; + T3 = ri[0]; + T4 = T2 + T3; + T5 = KP1_732050807 * (T2 - T3); + T7 = ii[WS(iis, 2)]; + T8 = ii[0]; + T9 = T7 + T8; + Tb = KP1_732050807 * (T7 - T8); + } + O[0] = KP2_000000000 * (T1 + T4); + O[WS(os, 3)] = KP2_000000000 * (T6 - T9); + Ta = FMA(KP2_000000000, T6, T9); + O[WS(os, 1)] = -(T5 + Ta); + O[WS(os, 5)] = T5 - Ta; + Tc = FMS(KP2_000000000, T1, T4); + O[WS(os, 2)] = Tb - Tc; + O[WS(os, 4)] = Tc + Tb; + } +} + +static const khc2r_desc desc = { 6, "hc2rIII_6", {10, 4, 2, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_6) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_6, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_7.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_7.c new file mode 100644 index 0000000..f65cbfd --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_7.c @@ -0,0 +1,81 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:00 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 7 -name hc2rIII_7 -dft-III -include hc2rIII.h */ + +/* + * This function contains 24 FP additions, 19 FP multiplications, + * (or, 9 additions, 4 multiplications, 15 fused multiply/add), + * 21 stack variables, and 14 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_7(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_246979603, +1.246979603717467061050009768008479621264549462); + DK(KP1_801937735, +1.801937735804838252472204639014890102331838324); + DK(KP445041867, +0.445041867912628808577805128993589518932711138); + DK(KP867767478, +0.867767478235116240951536665696717509219981456); + DK(KP1_949855824, +1.949855824363647214036263365987862434465571601); + DK(KP1_563662964, +1.563662964936059617416889053348115500464669037); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T9, Td, Tb, T1, T4, T2, T3, T5, Tc, Ta, T6, T8, T7; + T6 = ii[WS(iis, 2)]; + T8 = ii[0]; + T7 = ii[WS(iis, 1)]; + T9 = FMA(KP1_563662964, T6, KP1_949855824 * T7) + (KP867767478 * T8); + Td = FNMS(KP1_949855824, T8, KP1_563662964 * T7) - (KP867767478 * T6); + Tb = FNMS(KP1_563662964, T8, KP1_949855824 * T6) - (KP867767478 * T7); + T1 = ri[WS(ris, 3)]; + T4 = ri[0]; + T2 = ri[WS(ris, 2)]; + T3 = ri[WS(ris, 1)]; + T5 = FMA(KP445041867, T3, KP1_801937735 * T4) + FNMA(KP1_246979603, T2, T1); + Tc = FMA(KP1_801937735, T2, KP445041867 * T4) + FNMA(KP1_246979603, T3, T1); + Ta = FMA(KP1_246979603, T4, T1) + FNMA(KP1_801937735, T3, KP445041867 * T2); + O[WS(os, 1)] = T5 - T9; + O[WS(os, 6)] = -(T5 + T9); + O[WS(os, 4)] = Td - Tc; + O[WS(os, 3)] = Tc + Td; + O[WS(os, 5)] = Tb - Ta; + O[WS(os, 2)] = Ta + Tb; + O[0] = FMA(KP2_000000000, T2 + T3 + T4, T1); + } +} + +static const khc2r_desc desc = { 7, "hc2rIII_7", {9, 4, 15, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_7) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_7, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_8.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_8.c new file mode 100644 index 0000000..3a7ffb5 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_8.c @@ -0,0 +1,97 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:01 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 8 -name hc2rIII_8 -dft-III -include hc2rIII.h */ + +/* + * This function contains 22 FP additions, 12 FP multiplications, + * (or, 18 additions, 8 multiplications, 4 fused multiply/add), + * 19 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_8(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T3, T7, Tf, Tl, T6, Tc, Ta, Tk, Tb, Tg; + { + E T1, T2, Td, Te; + T1 = ri[0]; + T2 = ri[WS(ris, 3)]; + T3 = T1 + T2; + T7 = T1 - T2; + Td = ii[0]; + Te = ii[WS(iis, 3)]; + Tf = Td + Te; + Tl = Te - Td; + } + { + E T4, T5, T8, T9; + T4 = ri[WS(ris, 2)]; + T5 = ri[WS(ris, 1)]; + T6 = T4 + T5; + Tc = T4 - T5; + T8 = ii[WS(iis, 2)]; + T9 = ii[WS(iis, 1)]; + Ta = T8 + T9; + Tk = T8 - T9; + } + O[0] = KP2_000000000 * (T3 + T6); + O[WS(os, 4)] = KP2_000000000 * (Tl - Tk); + Tb = T7 - Ta; + Tg = Tc + Tf; + O[WS(os, 1)] = FNMS(KP765366864, Tg, KP1_847759065 * Tb); + O[WS(os, 5)] = -(FMA(KP765366864, Tb, KP1_847759065 * Tg)); + { + E Th, Ti, Tj, Tm; + Th = T7 + Ta; + Ti = Tc - Tf; + O[WS(os, 3)] = FMA(KP765366864, Th, KP1_847759065 * Ti); + O[WS(os, 7)] = FNMS(KP1_847759065, Th, KP765366864 * Ti); + Tj = T3 - T6; + Tm = Tk + Tl; + O[WS(os, 2)] = KP1_414213562 * (Tj + Tm); + O[WS(os, 6)] = KP1_414213562 * (Tm - Tj); + } + } +} + +static const khc2r_desc desc = { 8, "hc2rIII_8", {18, 8, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_8) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2rIII_9.c b/src/fftw3/rdft/codelets/hc2r/hc2rIII_9.c new file mode 100644 index 0000000..0bcc0ea --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2rIII_9.c @@ -0,0 +1,120 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:05 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 9 -name hc2rIII_9 -dft-III -include hc2rIII.h */ + +/* + * This function contains 32 FP additions, 18 FP multiplications, + * (or, 22 additions, 8 multiplications, 10 fused multiply/add), + * 35 stack variables, and 18 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2rIII_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2rIII_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void hc2rIII_9(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP642787609, +0.642787609686539326322643409907263432907559884); + DK(KP766044443, +0.766044443118978035202392650555416673935832457); + DK(KP1_326827896, +1.326827896337876792410842639271782594433726619); + DK(KP1_113340798, +1.113340798452838732905825904094046265936583811); + DK(KP984807753, +0.984807753012208059366743024589523013670643252); + DK(KP173648177, +0.173648177666930348851716626769314796000375677); + DK(KP1_705737063, +1.705737063904886419256501927880148143872040591); + DK(KP300767466, +0.300767466360870593278543795225003852144476517); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T3, Ts, Ti, Td, Tc, T8, To, Tu, Tl, Tt, T9, Te; + { + E Th, T1, T2, Tf, Tg; + Tg = ii[WS(iis, 1)]; + Th = KP1_732050807 * Tg; + T1 = ri[WS(ris, 4)]; + T2 = ri[WS(ris, 1)]; + Tf = T2 - T1; + T3 = FMA(KP2_000000000, T2, T1); + Ts = Tf - Th; + Ti = Tf + Th; + } + { + E T4, T7, Tm, Tk, Tn, Tj; + T4 = ri[WS(ris, 3)]; + Td = ii[WS(iis, 3)]; + { + E T5, T6, Ta, Tb; + T5 = ri[0]; + T6 = ri[WS(ris, 2)]; + T7 = T5 + T6; + Tm = KP866025403 * (T6 - T5); + Ta = ii[WS(iis, 2)]; + Tb = ii[0]; + Tc = Ta - Tb; + Tk = KP866025403 * (Tb + Ta); + } + T8 = T4 + T7; + Tn = FMA(KP500000000, Tc, Td); + To = Tm - Tn; + Tu = Tm + Tn; + Tj = FMS(KP500000000, T7, T4); + Tl = Tj + Tk; + Tt = Tj - Tk; + } + O[0] = FMA(KP2_000000000, T8, T3); + T9 = T8 - T3; + Te = KP1_732050807 * (Tc - Td); + O[WS(os, 3)] = T9 + Te; + O[WS(os, 6)] = Te - T9; + { + E Tr, Tp, Tq, Tx, Tv, Tw; + Tr = FNMS(KP1_705737063, Tl, KP300767466 * To); + Tp = FMA(KP173648177, Tl, KP984807753 * To); + Tq = Ti - Tp; + O[WS(os, 2)] = -(FMA(KP2_000000000, Tp, Ti)); + O[WS(os, 8)] = Tr - Tq; + O[WS(os, 5)] = Tq + Tr; + Tx = FMA(KP1_113340798, Tt, KP1_326827896 * Tu); + Tv = FNMS(KP642787609, Tu, KP766044443 * Tt); + Tw = Tv - Ts; + O[WS(os, 1)] = FMA(KP2_000000000, Tv, Ts); + O[WS(os, 7)] = Tx - Tw; + O[WS(os, 4)] = Tw + Tx; + } + } +} + +static const khc2r_desc desc = { 9, "hc2rIII_9", {22, 8, 10, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2rIII_9) (planner *p) { + X(khc2rIII_register) (p, hc2rIII_9, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_10.c b/src/fftw3/rdft/codelets/hc2r/hc2r_10.c new file mode 100644 index 0000000..9e6c5bc --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_10.c @@ -0,0 +1,118 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 10 -name hc2r_10 -include hc2r.h */ + +/* + * This function contains 34 FP additions, 14 FP multiplications, + * (or, 26 additions, 6 multiplications, 8 fused multiply/add), + * 26 stack variables, and 20 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_10.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_10(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP1_902113032, +1.902113032590307144232878666758764286811397268); + DK(KP1_175570504, +1.175570504584946258337411909278145537195304875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_118033988, +1.118033988749894848204586834365638117720309180); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T3, Tb, Tn, Tv, Tk, Tu, Ta, Ts, Te, Tg, Ti, Tj; + { + E T1, T2, Tl, Tm; + T1 = ri[0]; + T2 = ri[WS(ris, 5)]; + T3 = T1 - T2; + Tb = T1 + T2; + Tl = ii[WS(iis, 4)]; + Tm = ii[WS(iis, 1)]; + Tn = Tl - Tm; + Tv = Tl + Tm; + } + Ti = ii[WS(iis, 2)]; + Tj = ii[WS(iis, 3)]; + Tk = Ti - Tj; + Tu = Ti + Tj; + { + E T6, Tc, T9, Td; + { + E T4, T5, T7, T8; + T4 = ri[WS(ris, 2)]; + T5 = ri[WS(ris, 3)]; + T6 = T4 - T5; + Tc = T4 + T5; + T7 = ri[WS(ris, 4)]; + T8 = ri[WS(ris, 1)]; + T9 = T7 - T8; + Td = T7 + T8; + } + Ta = T6 + T9; + Ts = KP1_118033988 * (T6 - T9); + Te = Tc + Td; + Tg = KP1_118033988 * (Tc - Td); + } + O[WS(os, 5)] = FMA(KP2_000000000, Ta, T3); + O[0] = FMA(KP2_000000000, Te, Tb); + { + E To, Tq, Th, Tp, Tf; + To = FNMS(KP1_902113032, Tn, KP1_175570504 * Tk); + Tq = FMA(KP1_902113032, Tk, KP1_175570504 * Tn); + Tf = FNMS(KP500000000, Te, Tb); + Th = Tf - Tg; + Tp = Tg + Tf; + O[WS(os, 2)] = Th - To; + O[WS(os, 4)] = Tp + Tq; + O[WS(os, 8)] = Th + To; + O[WS(os, 6)] = Tp - Tq; + } + { + E Tw, Ty, Tt, Tx, Tr; + Tw = FNMS(KP1_902113032, Tv, KP1_175570504 * Tu); + Ty = FMA(KP1_902113032, Tu, KP1_175570504 * Tv); + Tr = FNMS(KP500000000, Ta, T3); + Tt = Tr - Ts; + Tx = Ts + Tr; + O[WS(os, 7)] = Tt - Tw; + O[WS(os, 9)] = Tx + Ty; + O[WS(os, 3)] = Tt + Tw; + O[WS(os, 1)] = Tx - Ty; + } + } +} + +static const khc2r_desc desc = { 10, "hc2r_10", {26, 6, 8, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_10) (planner *p) { + X(khc2r_register) (p, hc2r_10, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_11.c b/src/fftw3/rdft/codelets/hc2r/hc2r_11.c new file mode 100644 index 0000000..2310502 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_11.c @@ -0,0 +1,101 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 11 -name hc2r_11 -include hc2r.h */ + +/* + * This function contains 60 FP additions, 51 FP multiplications, + * (or, 19 additions, 10 multiplications, 41 fused multiply/add), + * 33 stack variables, and 22 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_11.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_11.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_11.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_11(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_918985947, +1.918985947228994779780736114132655398124909697); + DK(KP1_309721467, +1.309721467890570128113850144932587106367582399); + DK(KP284629676, +0.284629676546570280887585337232739337582102722); + DK(KP830830026, +0.830830026003772851058548298459246407048009821); + DK(KP1_682507065, +1.682507065662362337723623297838735435026584997); + DK(KP563465113, +0.563465113682859395422835830693233798071555798); + DK(KP1_511499148, +1.511499148708516567548071687944688840359434890); + DK(KP1_979642883, +1.979642883761865464752184075553437574753038744); + DK(KP1_819263990, +1.819263990709036742823430766158056920120482102); + DK(KP1_081281634, +1.081281634911195164215271908637383390863541216); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E Td, Tl, Tf, Th, Tj, T1, T2, T6, T5, T4, T3, T7, Tk, Te, Tg; + E Ti; + { + E T8, Tc, T9, Ta, Tb; + T8 = ii[WS(iis, 2)]; + Tc = ii[WS(iis, 1)]; + T9 = ii[WS(iis, 4)]; + Ta = ii[WS(iis, 5)]; + Tb = ii[WS(iis, 3)]; + Td = FMA(KP1_081281634, T8, KP1_819263990 * T9) + FNMA(KP1_979642883, Ta, KP1_511499148 * Tb) - (KP563465113 * Tc); + Tl = FMA(KP1_979642883, T8, KP1_819263990 * Ta) + FNMA(KP563465113, T9, KP1_081281634 * Tb) - (KP1_511499148 * Tc); + Tf = FMA(KP563465113, T8, KP1_819263990 * Tb) + FNMA(KP1_511499148, Ta, KP1_081281634 * T9) - (KP1_979642883 * Tc); + Th = FMA(KP1_081281634, Tc, KP1_819263990 * T8) + FMA(KP1_979642883, Tb, KP1_511499148 * T9) + (KP563465113 * Ta); + Tj = FMA(KP563465113, Tb, KP1_979642883 * T9) + FNMS(KP1_511499148, T8, KP1_081281634 * Ta) - (KP1_819263990 * Tc); + } + T1 = ri[0]; + T2 = ri[WS(ris, 1)]; + T6 = ri[WS(ris, 5)]; + T5 = ri[WS(ris, 4)]; + T4 = ri[WS(ris, 3)]; + T3 = ri[WS(ris, 2)]; + T7 = FMA(KP1_682507065, T3, T1) + FNMS(KP284629676, T6, KP830830026 * T5) + FNMA(KP1_309721467, T4, KP1_918985947 * T2); + Tk = FMA(KP1_682507065, T4, T1) + FNMS(KP1_918985947, T5, KP830830026 * T6) + FNMA(KP284629676, T3, KP1_309721467 * T2); + Te = FMA(KP830830026, T4, T1) + FNMS(KP1_309721467, T6, KP1_682507065 * T5) + FNMA(KP1_918985947, T3, KP284629676 * T2); + Tg = FMA(KP1_682507065, T2, T1) + FNMS(KP1_918985947, T6, KP830830026 * T3) + FNMA(KP1_309721467, T5, KP284629676 * T4); + Ti = FMA(KP830830026, T2, T1) + FNMS(KP284629676, T5, KP1_682507065 * T6) + FNMA(KP1_918985947, T4, KP1_309721467 * T3); + O[WS(os, 6)] = T7 - Td; + O[WS(os, 8)] = Te - Tf; + O[WS(os, 4)] = Tk + Tl; + O[WS(os, 5)] = T7 + Td; + O[WS(os, 7)] = Tk - Tl; + O[WS(os, 2)] = Ti + Tj; + O[WS(os, 3)] = Te + Tf; + O[WS(os, 10)] = Tg + Th; + O[WS(os, 1)] = Tg - Th; + O[WS(os, 9)] = Ti - Tj; + O[0] = FMA(KP2_000000000, T2 + T3 + T4 + T5 + T6, T1); + } +} + +static const khc2r_desc desc = { 11, "hc2r_11", {19, 10, 41, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_11) (planner *p) { + X(khc2r_register) (p, hc2r_11, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_12.c b/src/fftw3/rdft/codelets/hc2r/hc2r_12.c new file mode 100644 index 0000000..4fc3710 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_12.c @@ -0,0 +1,126 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 12 -name hc2r_12 -include hc2r.h */ + +/* + * This function contains 38 FP additions, 10 FP multiplications, + * (or, 34 additions, 6 multiplications, 4 fused multiply/add), + * 25 stack variables, and 24 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_12.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_12(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T8, Tb, Tm, TA, Tw, Tx, Tp, TB, T3, Tr, Tg, T6, Ts, Tk; + { + E T9, Ta, Tn, To; + T8 = ri[WS(ris, 3)]; + T9 = ri[WS(ris, 5)]; + Ta = ri[WS(ris, 1)]; + Tb = T9 + Ta; + Tm = FMS(KP2_000000000, T8, Tb); + TA = KP1_732050807 * (T9 - Ta); + Tw = ii[WS(iis, 3)]; + Tn = ii[WS(iis, 5)]; + To = ii[WS(iis, 1)]; + Tx = Tn + To; + Tp = KP1_732050807 * (Tn - To); + TB = FMA(KP2_000000000, Tw, Tx); + } + { + E Tf, T1, T2, Td, Te; + Te = ii[WS(iis, 4)]; + Tf = KP1_732050807 * Te; + T1 = ri[0]; + T2 = ri[WS(ris, 4)]; + Td = T1 - T2; + T3 = FMA(KP2_000000000, T2, T1); + Tr = Td - Tf; + Tg = Td + Tf; + } + { + E Tj, T4, T5, Th, Ti; + Ti = ii[WS(iis, 2)]; + Tj = KP1_732050807 * Ti; + T4 = ri[WS(ris, 6)]; + T5 = ri[WS(ris, 2)]; + Th = T4 - T5; + T6 = FMA(KP2_000000000, T5, T4); + Ts = Th + Tj; + Tk = Th - Tj; + } + { + E T7, Tc, Tz, TC; + T7 = T3 + T6; + Tc = KP2_000000000 * (T8 + Tb); + O[WS(os, 6)] = T7 - Tc; + O[0] = T7 + Tc; + { + E Tl, Tq, TD, TE; + Tl = Tg + Tk; + Tq = Tm - Tp; + O[WS(os, 2)] = Tl - Tq; + O[WS(os, 8)] = Tl + Tq; + TD = Tg - Tk; + TE = TB - TA; + O[WS(os, 5)] = TD - TE; + O[WS(os, 11)] = TD + TE; + } + Tz = Tr - Ts; + TC = TA + TB; + O[WS(os, 1)] = Tz - TC; + O[WS(os, 7)] = Tz + TC; + { + E Tv, Ty, Tt, Tu; + Tv = T3 - T6; + Ty = KP2_000000000 * (Tw - Tx); + O[WS(os, 9)] = Tv - Ty; + O[WS(os, 3)] = Tv + Ty; + Tt = Tr + Ts; + Tu = Tm + Tp; + O[WS(os, 10)] = Tt - Tu; + O[WS(os, 4)] = Tt + Tu; + } + } + } +} + +static const khc2r_desc desc = { 12, "hc2r_12", {34, 6, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_12) (planner *p) { + X(khc2r_register) (p, hc2r_12, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_13.c b/src/fftw3/rdft/codelets/hc2r/hc2r_13.c new file mode 100644 index 0000000..3e1ccbd --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_13.c @@ -0,0 +1,196 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:12 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 13 -name hc2r_13 -include hc2r.h */ + +/* + * This function contains 76 FP additions, 35 FP multiplications, + * (or, 56 additions, 15 multiplications, 20 fused multiply/add), + * 56 stack variables, and 26 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_13.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_13.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_13.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_13(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_007074065, +1.007074065727533254493747707736933954186697125); + DK(KP227708958, +0.227708958111581597949308691735310621069285120); + DK(KP531932498, +0.531932498429674575175042127684371897596660533); + DK(KP774781170, +0.774781170935234584261351932853525703557550433); + DK(KP265966249, +0.265966249214837287587521063842185948798330267); + DK(KP516520780, +0.516520780623489722840901288569017135705033622); + DK(KP151805972, +0.151805972074387731966205794490207080712856746); + DK(KP503537032, +0.503537032863766627246873853868466977093348562); + DK(KP166666666, +0.166666666666666666666666666666666666666666667); + DK(KP600925212, +0.600925212577331548853203544578415991041882762); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP256247671, +0.256247671582936600958684654061725059144125175); + DK(KP156891391, +0.156891391051584611046832726756003269660212636); + DK(KP348277202, +0.348277202304271810011321589858529485233929352); + DK(KP1_150281458, +1.150281458948006242736771094910906776922003215); + DK(KP300238635, +0.300238635966332641462884626667381504676006424); + DK(KP011599105, +0.011599105605768290721655456654083252189827041); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E TG, TS, TR, T15, TJ, TT, T1, Tm, Tc, Td, Tg, Tj, Tk, Tn, To; + E Tp; + { + E Ts, Tv, Tw, TE, TC, TB, Tz, TD, TA, TF; + { + E Tt, Tu, Tx, Ty; + Ts = ii[WS(iis, 1)]; + Tt = ii[WS(iis, 3)]; + Tu = ii[WS(iis, 4)]; + Tv = Tt - Tu; + Tw = FMS(KP2_000000000, Ts, Tv); + TE = KP1_732050807 * (Tt + Tu); + TC = ii[WS(iis, 5)]; + Tx = ii[WS(iis, 6)]; + Ty = ii[WS(iis, 2)]; + TB = Tx + Ty; + Tz = KP1_732050807 * (Tx - Ty); + TD = FNMS(KP2_000000000, TC, TB); + } + TA = Tw + Tz; + TF = TD - TE; + TG = FMA(KP011599105, TA, KP300238635 * TF); + TS = FNMS(KP011599105, TF, KP300238635 * TA); + { + E TP, TQ, TH, TI; + TP = Ts + Tv; + TQ = TB + TC; + TR = FNMS(KP348277202, TQ, KP1_150281458 * TP); + T15 = FMA(KP348277202, TP, KP1_150281458 * TQ); + TH = Tw - Tz; + TI = TE + TD; + TJ = FMA(KP156891391, TH, KP256247671 * TI); + TT = FNMS(KP256247671, TH, KP156891391 * TI); + } + } + { + E Tb, Ti, Tf, T6, Th, Te; + T1 = ri[0]; + { + E T7, T8, T9, Ta; + T7 = ri[WS(ris, 5)]; + T8 = ri[WS(ris, 2)]; + T9 = ri[WS(ris, 6)]; + Ta = T8 + T9; + Tb = T7 + Ta; + Ti = FNMS(KP500000000, Ta, T7); + Tf = T8 - T9; + } + { + E T2, T3, T4, T5; + T2 = ri[WS(ris, 1)]; + T3 = ri[WS(ris, 3)]; + T4 = ri[WS(ris, 4)]; + T5 = T3 + T4; + T6 = T2 + T5; + Th = FNMS(KP500000000, T5, T2); + Te = T3 - T4; + } + Tm = KP600925212 * (T6 - Tb); + Tc = T6 + Tb; + Td = FNMS(KP166666666, Tc, T1); + Tg = Te + Tf; + Tj = Th + Ti; + Tk = FMA(KP503537032, Tg, KP151805972 * Tj); + Tn = Th - Ti; + To = Te - Tf; + Tp = FNMS(KP265966249, To, KP516520780 * Tn); + } + O[0] = FMA(KP2_000000000, Tc, T1); + { + E TK, T1b, TV, T12, T16, T18, TO, T1a, Tr, T17, T11, T13; + { + E TU, T14, TM, TN; + TK = KP1_732050807 * (TG + TJ); + T1b = KP1_732050807 * (TS - TT); + TU = TS + TT; + TV = TR - TU; + T12 = FMA(KP2_000000000, TU, TR); + T14 = TG - TJ; + T16 = FMS(KP2_000000000, T14, T15); + T18 = T14 + T15; + TM = FMA(KP774781170, To, KP531932498 * Tn); + TN = FNMS(KP1_007074065, Tj, KP227708958 * Tg); + TO = TM - TN; + T1a = TM + TN; + { + E Tl, Tq, TZ, T10; + Tl = Td - Tk; + Tq = Tm - Tp; + Tr = Tl - Tq; + T17 = Tq + Tl; + TZ = FMA(KP2_000000000, Tk, Td); + T10 = FMA(KP2_000000000, Tp, Tm); + T11 = TZ - T10; + T13 = T10 + TZ; + } + } + O[WS(os, 5)] = T11 - T12; + O[WS(os, 12)] = T13 - T16; + O[WS(os, 1)] = T13 + T16; + O[WS(os, 8)] = T11 + T12; + { + E TL, TW, T19, T1c; + TL = Tr - TK; + TW = TO - TV; + O[WS(os, 7)] = TL - TW; + O[WS(os, 2)] = TL + TW; + T19 = T17 - T18; + T1c = T1a + T1b; + O[WS(os, 3)] = T19 - T1c; + O[WS(os, 9)] = T1c + T19; + } + { + E T1d, T1e, TX, TY; + T1d = T1a - T1b; + T1e = T17 + T18; + O[WS(os, 4)] = T1d + T1e; + O[WS(os, 10)] = T1e - T1d; + TX = Tr + TK; + TY = TO + TV; + O[WS(os, 6)] = TX - TY; + O[WS(os, 11)] = TX + TY; + } + } + } +} + +static const khc2r_desc desc = { 13, "hc2r_13", {56, 15, 20, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_13) (planner *p) { + X(khc2r_register) (p, hc2r_13, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_14.c b/src/fftw3/rdft/codelets/hc2r/hc2r_14.c new file mode 100644 index 0000000..dbbb22e --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_14.c @@ -0,0 +1,134 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:12 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 14 -name hc2r_14 -include hc2r.h */ + +/* + * This function contains 62 FP additions, 38 FP multiplications, + * (or, 36 additions, 12 multiplications, 26 fused multiply/add), + * 28 stack variables, and 28 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_14.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_14.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_14.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_14(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_801937735, +1.801937735804838252472204639014890102331838324); + DK(KP445041867, +0.445041867912628808577805128993589518932711138); + DK(KP1_246979603, +1.246979603717467061050009768008479621264549462); + DK(KP867767478, +0.867767478235116240951536665696717509219981456); + DK(KP1_949855824, +1.949855824363647214036263365987862434465571601); + DK(KP1_563662964, +1.563662964936059617416889053348115500464669037); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T3, Td, T6, Te, Tq, Tz, Tn, Ty, Tc, Tg, Tk, Tx, T9, Tf, T1; + E T2; + T1 = ri[0]; + T2 = ri[WS(ris, 7)]; + T3 = T1 - T2; + Td = T1 + T2; + { + E T4, T5, To, Tp; + T4 = ri[WS(ris, 2)]; + T5 = ri[WS(ris, 5)]; + T6 = T4 - T5; + Te = T4 + T5; + To = ii[WS(iis, 2)]; + Tp = ii[WS(iis, 5)]; + Tq = To - Tp; + Tz = To + Tp; + } + { + E Tl, Tm, Ta, Tb; + Tl = ii[WS(iis, 6)]; + Tm = ii[WS(iis, 1)]; + Tn = Tl - Tm; + Ty = Tl + Tm; + Ta = ri[WS(ris, 6)]; + Tb = ri[WS(ris, 1)]; + Tc = Ta - Tb; + Tg = Ta + Tb; + } + { + E Ti, Tj, T7, T8; + Ti = ii[WS(iis, 4)]; + Tj = ii[WS(iis, 3)]; + Tk = Ti - Tj; + Tx = Ti + Tj; + T7 = ri[WS(ris, 4)]; + T8 = ri[WS(ris, 3)]; + T9 = T7 - T8; + Tf = T7 + T8; + } + O[WS(os, 7)] = FMA(KP2_000000000, T6 + T9 + Tc, T3); + O[0] = FMA(KP2_000000000, Te + Tf + Tg, Td); + { + E Tr, Th, TE, TD; + Tr = FNMS(KP1_949855824, Tn, KP1_563662964 * Tk) - (KP867767478 * Tq); + Th = FMA(KP1_246979603, Tf, Td) + FNMA(KP445041867, Tg, KP1_801937735 * Te); + O[WS(os, 4)] = Th - Tr; + O[WS(os, 10)] = Th + Tr; + TE = FMA(KP867767478, Tx, KP1_563662964 * Ty) - (KP1_949855824 * Tz); + TD = FMA(KP1_246979603, Tc, T3) + FNMA(KP1_801937735, T9, KP445041867 * T6); + O[WS(os, 5)] = TD - TE; + O[WS(os, 9)] = TD + TE; + } + { + E Tt, Ts, TA, Tw; + Tt = FMA(KP867767478, Tk, KP1_563662964 * Tn) - (KP1_949855824 * Tq); + Ts = FMA(KP1_246979603, Tg, Td) + FNMA(KP1_801937735, Tf, KP445041867 * Te); + O[WS(os, 12)] = Ts - Tt; + O[WS(os, 2)] = Ts + Tt; + TA = FNMS(KP1_949855824, Ty, KP1_563662964 * Tx) - (KP867767478 * Tz); + Tw = FMA(KP1_246979603, T9, T3) + FNMA(KP445041867, Tc, KP1_801937735 * T6); + O[WS(os, 11)] = Tw - TA; + O[WS(os, 3)] = Tw + TA; + } + { + E TC, TB, Tv, Tu; + TC = FMA(KP1_563662964, Tz, KP1_949855824 * Tx) + (KP867767478 * Ty); + TB = FMA(KP1_246979603, T6, T3) + FNMA(KP1_801937735, Tc, KP445041867 * T9); + O[WS(os, 1)] = TB - TC; + O[WS(os, 13)] = TB + TC; + Tv = FMA(KP1_563662964, Tq, KP1_949855824 * Tk) + (KP867767478 * Tn); + Tu = FMA(KP1_246979603, Te, Td) + FNMA(KP1_801937735, Tg, KP445041867 * Tf); + O[WS(os, 8)] = Tu - Tv; + O[WS(os, 6)] = Tu + Tv; + } + } +} + +static const khc2r_desc desc = { 14, "hc2r_14", {36, 12, 26, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_14) (planner *p) { + X(khc2r_register) (p, hc2r_14, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_15.c b/src/fftw3/rdft/codelets/hc2r/hc2r_15.c new file mode 100644 index 0000000..d2eed35 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_15.c @@ -0,0 +1,161 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:12 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 15 -name hc2r_15 -include hc2r.h */ + +/* + * This function contains 64 FP additions, 31 FP multiplications, + * (or, 47 additions, 14 multiplications, 17 fused multiply/add), + * 44 stack variables, and 30 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_15.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_15(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_118033988, +1.118033988749894848204586834365638117720309180); + DK(KP1_902113032, +1.902113032590307144232878666758764286811397268); + DK(KP1_175570504, +1.175570504584946258337411909278145537195304875); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T3, Tu, Ti, TB, TZ, T10, TE, TG, TJ, Tn, Tv, Ts, Tw, T8, Td; + E Te; + { + E Th, T1, T2, Tf, Tg; + Tg = ii[WS(iis, 5)]; + Th = KP1_732050807 * Tg; + T1 = ri[0]; + T2 = ri[WS(ris, 5)]; + Tf = T1 - T2; + T3 = FMA(KP2_000000000, T2, T1); + Tu = Tf - Th; + Ti = Tf + Th; + } + { + E T4, TD, T9, TI, T5, T6, T7, Ta, Tb, Tc, Tr, TH, Tm, TC, Tj; + E To; + T4 = ri[WS(ris, 3)]; + TD = ii[WS(iis, 3)]; + T9 = ri[WS(ris, 6)]; + TI = ii[WS(iis, 6)]; + T5 = ri[WS(ris, 7)]; + T6 = ri[WS(ris, 2)]; + T7 = T5 + T6; + Ta = ri[WS(ris, 4)]; + Tb = ri[WS(ris, 1)]; + Tc = Ta + Tb; + { + E Tp, Tq, Tk, Tl; + Tp = ii[WS(iis, 4)]; + Tq = ii[WS(iis, 1)]; + Tr = KP866025403 * (Tp + Tq); + TH = Tp - Tq; + Tk = ii[WS(iis, 7)]; + Tl = ii[WS(iis, 2)]; + Tm = KP866025403 * (Tk - Tl); + TC = Tk + Tl; + } + TB = KP866025403 * (T5 - T6); + TZ = TD - TC; + T10 = TI - TH; + TE = FMA(KP500000000, TC, TD); + TG = KP866025403 * (Ta - Tb); + TJ = FMA(KP500000000, TH, TI); + Tj = FNMS(KP500000000, T7, T4); + Tn = Tj - Tm; + Tv = Tj + Tm; + To = FNMS(KP500000000, Tc, T9); + Ts = To - Tr; + Tw = To + Tr; + T8 = T4 + T7; + Td = T9 + Tc; + Te = T8 + Td; + } + O[0] = FMA(KP2_000000000, Te, T3); + { + E T11, T13, TY, T12, TW, TX; + T11 = FNMS(KP1_902113032, T10, KP1_175570504 * TZ); + T13 = FMA(KP1_902113032, TZ, KP1_175570504 * T10); + TW = FNMS(KP500000000, Te, T3); + TX = KP1_118033988 * (T8 - Td); + TY = TW - TX; + T12 = TX + TW; + O[WS(os, 12)] = TY - T11; + O[WS(os, 9)] = T12 + T13; + O[WS(os, 3)] = TY + T11; + O[WS(os, 6)] = T12 - T13; + } + { + E TP, Tt, TO, TT, TV, TR, TS, TU, TQ; + TP = KP1_118033988 * (Tn - Ts); + Tt = Tn + Ts; + TO = FNMS(KP500000000, Tt, Ti); + TR = TE - TB; + TS = TJ - TG; + TT = FNMS(KP1_902113032, TS, KP1_175570504 * TR); + TV = FMA(KP1_902113032, TR, KP1_175570504 * TS); + O[WS(os, 5)] = FMA(KP2_000000000, Tt, Ti); + TU = TP + TO; + O[WS(os, 11)] = TU - TV; + O[WS(os, 14)] = TU + TV; + TQ = TO - TP; + O[WS(os, 2)] = TQ - TT; + O[WS(os, 8)] = TQ + TT; + } + { + E Tz, Tx, Ty, TL, TN, TF, TK, TM, TA; + Tz = KP1_118033988 * (Tv - Tw); + Tx = Tv + Tw; + Ty = FNMS(KP500000000, Tx, Tu); + TF = TB + TE; + TK = TG + TJ; + TL = FNMS(KP1_902113032, TK, KP1_175570504 * TF); + TN = FMA(KP1_902113032, TF, KP1_175570504 * TK); + O[WS(os, 10)] = FMA(KP2_000000000, Tx, Tu); + TM = Tz + Ty; + O[WS(os, 1)] = TM - TN; + O[WS(os, 4)] = TM + TN; + TA = Ty - Tz; + O[WS(os, 7)] = TA - TL; + O[WS(os, 13)] = TA + TL; + } + } +} + +static const khc2r_desc desc = { 15, "hc2r_15", {47, 14, 17, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_15) (planner *p) { + X(khc2r_register) (p, hc2r_15, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_16.c b/src/fftw3/rdft/codelets/hc2r/hc2r_16.c new file mode 100644 index 0000000..60ca018 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_16.c @@ -0,0 +1,165 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:13 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 16 -name hc2r_16 -include hc2r.h */ + +/* + * This function contains 58 FP additions, 18 FP multiplications, + * (or, 54 additions, 14 multiplications, 4 fused multiply/add), + * 31 stack variables, and 32 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_16.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_16(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T9, TS, Tl, TG, T6, TR, Ti, TD, Td, Tq, Tg, Tt, Tn, Tu, TV; + E TU, TN, TK; + { + E T7, T8, TE, Tj, Tk, TF; + T7 = ri[WS(ris, 2)]; + T8 = ri[WS(ris, 6)]; + TE = T7 - T8; + Tj = ii[WS(iis, 2)]; + Tk = ii[WS(iis, 6)]; + TF = Tj + Tk; + T9 = KP2_000000000 * (T7 + T8); + TS = KP1_414213562 * (TE + TF); + Tl = KP2_000000000 * (Tj - Tk); + TG = KP1_414213562 * (TE - TF); + } + { + E T5, TC, T3, TA; + { + E T4, TB, T1, T2; + T4 = ri[WS(ris, 4)]; + T5 = KP2_000000000 * T4; + TB = ii[WS(iis, 4)]; + TC = KP2_000000000 * TB; + T1 = ri[0]; + T2 = ri[WS(ris, 8)]; + T3 = T1 + T2; + TA = T1 - T2; + } + T6 = T3 + T5; + TR = TA + TC; + Ti = T3 - T5; + TD = TA - TC; + } + { + E TI, TM, TL, TJ; + { + E Tb, Tc, To, Tp; + Tb = ri[WS(ris, 1)]; + Tc = ri[WS(ris, 7)]; + Td = Tb + Tc; + TI = Tb - Tc; + To = ii[WS(iis, 1)]; + Tp = ii[WS(iis, 7)]; + Tq = To - Tp; + TM = To + Tp; + } + { + E Te, Tf, Tr, Ts; + Te = ri[WS(ris, 5)]; + Tf = ri[WS(ris, 3)]; + Tg = Te + Tf; + TL = Te - Tf; + Tr = ii[WS(iis, 5)]; + Ts = ii[WS(iis, 3)]; + Tt = Tr - Ts; + TJ = Tr + Ts; + } + Tn = Td - Tg; + Tu = Tq - Tt; + TV = TM - TL; + TU = TI + TJ; + TN = TL + TM; + TK = TI - TJ; + } + { + E Ta, Th, TT, TW; + Ta = T6 + T9; + Th = KP2_000000000 * (Td + Tg); + O[WS(os, 8)] = Ta - Th; + O[0] = Ta + Th; + TT = TR - TS; + TW = FNMS(KP1_847759065, TV, KP765366864 * TU); + O[WS(os, 11)] = TT - TW; + O[WS(os, 3)] = TT + TW; + } + { + E TX, TY, Tm, Tv; + TX = TR + TS; + TY = FMA(KP1_847759065, TU, KP765366864 * TV); + O[WS(os, 7)] = TX - TY; + O[WS(os, 15)] = TX + TY; + Tm = Ti - Tl; + Tv = KP1_414213562 * (Tn - Tu); + O[WS(os, 10)] = Tm - Tv; + O[WS(os, 2)] = Tm + Tv; + } + { + E Tw, Tx, TH, TO; + Tw = Ti + Tl; + Tx = KP1_414213562 * (Tn + Tu); + O[WS(os, 6)] = Tw - Tx; + O[WS(os, 14)] = Tw + Tx; + TH = TD + TG; + TO = FNMS(KP765366864, TN, KP1_847759065 * TK); + O[WS(os, 9)] = TH - TO; + O[WS(os, 1)] = TH + TO; + } + { + E TP, TQ, Ty, Tz; + TP = TD - TG; + TQ = FMA(KP765366864, TK, KP1_847759065 * TN); + O[WS(os, 5)] = TP - TQ; + O[WS(os, 13)] = TP + TQ; + Ty = T6 - T9; + Tz = KP2_000000000 * (Tt + Tq); + O[WS(os, 4)] = Ty - Tz; + O[WS(os, 12)] = Ty + Tz; + } + } +} + +static const khc2r_desc desc = { 16, "hc2r_16", {54, 14, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_16) (planner *p) { + X(khc2r_register) (p, hc2r_16, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_3.c b/src/fftw3/rdft/codelets/hc2r/hc2r_3.c new file mode 100644 index 0000000..990d625 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_3.c @@ -0,0 +1,64 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 3 -name hc2r_3 -include hc2r.h */ + +/* + * This function contains 4 FP additions, 2 FP multiplications, + * (or, 3 additions, 1 multiplications, 1 fused multiply/add), + * 8 stack variables, and 6 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_3.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_3(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T5, T1, T2, T3, T4; + T4 = ii[WS(iis, 1)]; + T5 = KP1_732050807 * T4; + T1 = ri[0]; + T2 = ri[WS(ris, 1)]; + T3 = T1 - T2; + O[0] = FMA(KP2_000000000, T2, T1); + O[WS(os, 2)] = T3 + T5; + O[WS(os, 1)] = T3 - T5; + } +} + +static const khc2r_desc desc = { 3, "hc2r_3", {3, 1, 1, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_3) (planner *p) { + X(khc2r_register) (p, hc2r_3, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_32.c b/src/fftw3/rdft/codelets/hc2r/hc2r_32.c new file mode 100644 index 0000000..6611654 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_32.c @@ -0,0 +1,336 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:14 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 32 -name hc2r_32 -include hc2r.h */ + +/* + * This function contains 156 FP additions, 50 FP multiplications, + * (or, 140 additions, 34 multiplications, 16 fused multiply/add), + * 54 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_32(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T9, T2c, TB, T1y, T6, T2b, Ty, T1v, Th, T2e, T2f, TD, TK, T1C, T1F; + E T1h, Tp, T2i, T2m, TN, T13, T1K, T1Y, T1k, Tw, TU, T1l, TW, T1V, T2j; + E T1R, T2l; + { + E T7, T8, T1w, Tz, TA, T1x; + T7 = ri[WS(ris, 4)]; + T8 = ri[WS(ris, 12)]; + T1w = T7 - T8; + Tz = ii[WS(iis, 4)]; + TA = ii[WS(iis, 12)]; + T1x = Tz + TA; + T9 = KP2_000000000 * (T7 + T8); + T2c = KP1_414213562 * (T1w + T1x); + TB = KP2_000000000 * (Tz - TA); + T1y = KP1_414213562 * (T1w - T1x); + } + { + E T5, T1u, T3, T1s; + { + E T4, T1t, T1, T2; + T4 = ri[WS(ris, 8)]; + T5 = KP2_000000000 * T4; + T1t = ii[WS(iis, 8)]; + T1u = KP2_000000000 * T1t; + T1 = ri[0]; + T2 = ri[WS(ris, 16)]; + T3 = T1 + T2; + T1s = T1 - T2; + } + T6 = T3 + T5; + T2b = T1s + T1u; + Ty = T3 - T5; + T1v = T1s - T1u; + } + { + E Td, T1A, TG, T1E, Tg, T1D, TJ, T1B; + { + E Tb, Tc, TE, TF; + Tb = ri[WS(ris, 2)]; + Tc = ri[WS(ris, 14)]; + Td = Tb + Tc; + T1A = Tb - Tc; + TE = ii[WS(iis, 2)]; + TF = ii[WS(iis, 14)]; + TG = TE - TF; + T1E = TE + TF; + } + { + E Te, Tf, TH, TI; + Te = ri[WS(ris, 10)]; + Tf = ri[WS(ris, 6)]; + Tg = Te + Tf; + T1D = Te - Tf; + TH = ii[WS(iis, 10)]; + TI = ii[WS(iis, 6)]; + TJ = TH - TI; + T1B = TH + TI; + } + Th = KP2_000000000 * (Td + Tg); + T2e = T1A + T1B; + T2f = T1E - T1D; + TD = Td - Tg; + TK = TG - TJ; + T1C = T1A - T1B; + T1F = T1D + T1E; + T1h = KP2_000000000 * (TJ + TG); + } + { + E Tl, T1I, TZ, T1X, To, T1W, T12, T1J; + { + E Tj, Tk, TX, TY; + Tj = ri[WS(ris, 1)]; + Tk = ri[WS(ris, 15)]; + Tl = Tj + Tk; + T1I = Tj - Tk; + TX = ii[WS(iis, 1)]; + TY = ii[WS(iis, 15)]; + TZ = TX - TY; + T1X = TX + TY; + } + { + E Tm, Tn, T10, T11; + Tm = ri[WS(ris, 9)]; + Tn = ri[WS(ris, 7)]; + To = Tm + Tn; + T1W = Tm - Tn; + T10 = ii[WS(iis, 9)]; + T11 = ii[WS(iis, 7)]; + T12 = T10 - T11; + T1J = T10 + T11; + } + Tp = Tl + To; + T2i = T1I + T1J; + T2m = T1X - T1W; + TN = Tl - To; + T13 = TZ - T12; + T1K = T1I - T1J; + T1Y = T1W + T1X; + T1k = T12 + TZ; + } + { + E Ts, T1L, TT, T1M, Tv, T1O, TQ, T1P; + { + E Tq, Tr, TR, TS; + Tq = ri[WS(ris, 5)]; + Tr = ri[WS(ris, 11)]; + Ts = Tq + Tr; + T1L = Tq - Tr; + TR = ii[WS(iis, 5)]; + TS = ii[WS(iis, 11)]; + TT = TR - TS; + T1M = TR + TS; + } + { + E Tt, Tu, TO, TP; + Tt = ri[WS(ris, 3)]; + Tu = ri[WS(ris, 13)]; + Tv = Tt + Tu; + T1O = Tt - Tu; + TO = ii[WS(iis, 13)]; + TP = ii[WS(iis, 3)]; + TQ = TO - TP; + T1P = TP + TO; + } + Tw = Ts + Tv; + TU = TQ - TT; + T1l = TT + TQ; + TW = Ts - Tv; + { + E T1T, T1U, T1N, T1Q; + T1T = T1L + T1M; + T1U = T1O + T1P; + T1V = KP707106781 * (T1T - T1U); + T2j = KP707106781 * (T1T + T1U); + T1N = T1L - T1M; + T1Q = T1O - T1P; + T1R = KP707106781 * (T1N + T1Q); + T2l = KP707106781 * (T1N - T1Q); + } + } + { + E Tx, T1r, Ti, T1q, Ta; + Tx = KP2_000000000 * (Tp + Tw); + T1r = KP2_000000000 * (T1l + T1k); + Ta = T6 + T9; + Ti = Ta + Th; + T1q = Ta - Th; + O[WS(os, 16)] = Ti - Tx; + O[WS(os, 24)] = T1q + T1r; + O[0] = Ti + Tx; + O[WS(os, 8)] = T1q - T1r; + } + { + E T1i, T1o, T1n, T1p, T1g, T1j, T1m; + T1g = T6 - T9; + T1i = T1g - T1h; + T1o = T1g + T1h; + T1j = Tp - Tw; + T1m = T1k - T1l; + T1n = KP1_414213562 * (T1j - T1m); + T1p = KP1_414213562 * (T1j + T1m); + O[WS(os, 20)] = T1i - T1n; + O[WS(os, 28)] = T1o + T1p; + O[WS(os, 4)] = T1i + T1n; + O[WS(os, 12)] = T1o - T1p; + } + { + E TM, T16, T15, T17; + { + E TC, TL, TV, T14; + TC = Ty - TB; + TL = KP1_414213562 * (TD - TK); + TM = TC + TL; + T16 = TC - TL; + TV = TN + TU; + T14 = TW + T13; + T15 = FNMS(KP765366864, T14, KP1_847759065 * TV); + T17 = FMA(KP765366864, TV, KP1_847759065 * T14); + } + O[WS(os, 18)] = TM - T15; + O[WS(os, 26)] = T16 + T17; + O[WS(os, 2)] = TM + T15; + O[WS(os, 10)] = T16 - T17; + } + { + E T2t, T2x, T2w, T2y; + { + E T2r, T2s, T2u, T2v; + T2r = T2b + T2c; + T2s = FMA(KP1_847759065, T2e, KP765366864 * T2f); + T2t = T2r - T2s; + T2x = T2r + T2s; + T2u = T2i + T2j; + T2v = T2m - T2l; + T2w = FNMS(KP1_961570560, T2v, KP390180644 * T2u); + T2y = FMA(KP1_961570560, T2u, KP390180644 * T2v); + } + O[WS(os, 23)] = T2t - T2w; + O[WS(os, 31)] = T2x + T2y; + O[WS(os, 7)] = T2t + T2w; + O[WS(os, 15)] = T2x - T2y; + } + { + E T1a, T1e, T1d, T1f; + { + E T18, T19, T1b, T1c; + T18 = Ty + TB; + T19 = KP1_414213562 * (TD + TK); + T1a = T18 - T19; + T1e = T18 + T19; + T1b = TN - TU; + T1c = T13 - TW; + T1d = FNMS(KP1_847759065, T1c, KP765366864 * T1b); + T1f = FMA(KP1_847759065, T1b, KP765366864 * T1c); + } + O[WS(os, 22)] = T1a - T1d; + O[WS(os, 30)] = T1e + T1f; + O[WS(os, 6)] = T1a + T1d; + O[WS(os, 14)] = T1e - T1f; + } + { + E T25, T29, T28, T2a; + { + E T23, T24, T26, T27; + T23 = T1v - T1y; + T24 = FMA(KP765366864, T1C, KP1_847759065 * T1F); + T25 = T23 - T24; + T29 = T23 + T24; + T26 = T1K - T1R; + T27 = T1Y - T1V; + T28 = FNMS(KP1_662939224, T27, KP1_111140466 * T26); + T2a = FMA(KP1_662939224, T26, KP1_111140466 * T27); + } + O[WS(os, 21)] = T25 - T28; + O[WS(os, 29)] = T29 + T2a; + O[WS(os, 5)] = T25 + T28; + O[WS(os, 13)] = T29 - T2a; + } + { + E T2h, T2p, T2o, T2q; + { + E T2d, T2g, T2k, T2n; + T2d = T2b - T2c; + T2g = FNMS(KP1_847759065, T2f, KP765366864 * T2e); + T2h = T2d + T2g; + T2p = T2d - T2g; + T2k = T2i - T2j; + T2n = T2l + T2m; + T2o = FNMS(KP1_111140466, T2n, KP1_662939224 * T2k); + T2q = FMA(KP1_111140466, T2k, KP1_662939224 * T2n); + } + O[WS(os, 19)] = T2h - T2o; + O[WS(os, 27)] = T2p + T2q; + O[WS(os, 3)] = T2h + T2o; + O[WS(os, 11)] = T2p - T2q; + } + { + E T1H, T21, T20, T22; + { + E T1z, T1G, T1S, T1Z; + T1z = T1v + T1y; + T1G = FNMS(KP765366864, T1F, KP1_847759065 * T1C); + T1H = T1z + T1G; + T21 = T1z - T1G; + T1S = T1K + T1R; + T1Z = T1V + T1Y; + T20 = FNMS(KP390180644, T1Z, KP1_961570560 * T1S); + T22 = FMA(KP390180644, T1S, KP1_961570560 * T1Z); + } + O[WS(os, 17)] = T1H - T20; + O[WS(os, 25)] = T21 + T22; + O[WS(os, 1)] = T1H + T20; + O[WS(os, 9)] = T21 - T22; + } + } +} + +static const khc2r_desc desc = { 32, "hc2r_32", {140, 34, 16, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_32) (planner *p) { + X(khc2r_register) (p, hc2r_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_4.c b/src/fftw3/rdft/codelets/hc2r/hc2r_4.c new file mode 100644 index 0000000..00db38d --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_4.c @@ -0,0 +1,70 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 4 -name hc2r_4 -include hc2r.h */ + +/* + * This function contains 6 FP additions, 2 FP multiplications, + * (or, 6 additions, 2 multiplications, 0 fused multiply/add), + * 10 stack variables, and 8 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_4.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_4(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T5, T8, T3, T6; + { + E T4, T7, T1, T2; + T4 = ri[WS(ris, 1)]; + T5 = KP2_000000000 * T4; + T7 = ii[WS(iis, 1)]; + T8 = KP2_000000000 * T7; + T1 = ri[0]; + T2 = ri[WS(ris, 2)]; + T3 = T1 + T2; + T6 = T1 - T2; + } + O[WS(os, 2)] = T3 - T5; + O[WS(os, 3)] = T6 + T8; + O[0] = T3 + T5; + O[WS(os, 1)] = T6 - T8; + } +} + +static const khc2r_desc desc = { 4, "hc2r_4", {6, 2, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_4) (planner *p) { + X(khc2r_register) (p, hc2r_4, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_5.c b/src/fftw3/rdft/codelets/hc2r/hc2r_5.c new file mode 100644 index 0000000..fd1c09d --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_5.c @@ -0,0 +1,79 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 5 -name hc2r_5 -include hc2r.h */ + +/* + * This function contains 12 FP additions, 7 FP multiplications, + * (or, 8 additions, 3 multiplications, 4 fused multiply/add), + * 18 stack variables, and 10 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_5.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_5(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_118033988, +1.118033988749894848204586834365638117720309180); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP1_902113032, +1.902113032590307144232878666758764286811397268); + DK(KP1_175570504, +1.175570504584946258337411909278145537195304875); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E Ta, Tc, T1, T4, T5, T6, Tb, T7; + { + E T8, T9, T2, T3; + T8 = ii[WS(iis, 1)]; + T9 = ii[WS(iis, 2)]; + Ta = FNMS(KP1_902113032, T9, KP1_175570504 * T8); + Tc = FMA(KP1_902113032, T8, KP1_175570504 * T9); + T1 = ri[0]; + T2 = ri[WS(ris, 1)]; + T3 = ri[WS(ris, 2)]; + T4 = T2 + T3; + T5 = FNMS(KP500000000, T4, T1); + T6 = KP1_118033988 * (T2 - T3); + } + O[0] = FMA(KP2_000000000, T4, T1); + Tb = T6 + T5; + O[WS(os, 1)] = Tb - Tc; + O[WS(os, 4)] = Tb + Tc; + T7 = T5 - T6; + O[WS(os, 2)] = T7 - Ta; + O[WS(os, 3)] = T7 + Ta; + } +} + +static const khc2r_desc desc = { 5, "hc2r_5", {8, 3, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_5) (planner *p) { + X(khc2r_register) (p, hc2r_5, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_6.c b/src/fftw3/rdft/codelets/hc2r/hc2r_6.c new file mode 100644 index 0000000..08ce9d0 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_6.c @@ -0,0 +1,79 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 6 -name hc2r_6 -include hc2r.h */ + +/* + * This function contains 14 FP additions, 4 FP multiplications, + * (or, 12 additions, 2 multiplications, 2 fused multiply/add), + * 17 stack variables, and 12 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_6.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_6(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T3, T7, Tc, Te, T6, T8, T1, T2, T9, Td; + T1 = ri[0]; + T2 = ri[WS(ris, 3)]; + T3 = T1 - T2; + T7 = T1 + T2; + { + E Ta, Tb, T4, T5; + Ta = ii[WS(iis, 2)]; + Tb = ii[WS(iis, 1)]; + Tc = KP1_732050807 * (Ta - Tb); + Te = KP1_732050807 * (Ta + Tb); + T4 = ri[WS(ris, 2)]; + T5 = ri[WS(ris, 1)]; + T6 = T4 - T5; + T8 = T4 + T5; + } + O[WS(os, 3)] = FMA(KP2_000000000, T6, T3); + O[0] = FMA(KP2_000000000, T8, T7); + T9 = T7 - T8; + O[WS(os, 4)] = T9 - Tc; + O[WS(os, 2)] = T9 + Tc; + Td = T3 - T6; + O[WS(os, 1)] = Td - Te; + O[WS(os, 5)] = Td + Te; + } +} + +static const khc2r_desc desc = { 6, "hc2r_6", {12, 2, 2, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_6) (planner *p) { + X(khc2r_register) (p, hc2r_6, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_7.c b/src/fftw3/rdft/codelets/hc2r/hc2r_7.c new file mode 100644 index 0000000..6d1f4c1 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_7.c @@ -0,0 +1,81 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 7 -name hc2r_7 -include hc2r.h */ + +/* + * This function contains 24 FP additions, 19 FP multiplications, + * (or, 11 additions, 6 multiplications, 13 fused multiply/add), + * 21 stack variables, and 14 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_7.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_7(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_801937735, +1.801937735804838252472204639014890102331838324); + DK(KP445041867, +0.445041867912628808577805128993589518932711138); + DK(KP1_246979603, +1.246979603717467061050009768008479621264549462); + DK(KP867767478, +0.867767478235116240951536665696717509219981456); + DK(KP1_949855824, +1.949855824363647214036263365987862434465571601); + DK(KP1_563662964, +1.563662964936059617416889053348115500464669037); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T9, Td, Tb, T1, T4, T2, T3, T5, Tc, Ta, T6, T8, T7; + T6 = ii[WS(iis, 2)]; + T8 = ii[WS(iis, 1)]; + T7 = ii[WS(iis, 3)]; + T9 = FNMS(KP1_949855824, T7, KP1_563662964 * T6) - (KP867767478 * T8); + Td = FMA(KP867767478, T6, KP1_563662964 * T7) - (KP1_949855824 * T8); + Tb = FMA(KP1_563662964, T8, KP1_949855824 * T6) + (KP867767478 * T7); + T1 = ri[0]; + T4 = ri[WS(ris, 3)]; + T2 = ri[WS(ris, 1)]; + T3 = ri[WS(ris, 2)]; + T5 = FMA(KP1_246979603, T3, T1) + FNMA(KP445041867, T4, KP1_801937735 * T2); + Tc = FMA(KP1_246979603, T4, T1) + FNMA(KP1_801937735, T3, KP445041867 * T2); + Ta = FMA(KP1_246979603, T2, T1) + FNMA(KP1_801937735, T4, KP445041867 * T3); + O[WS(os, 4)] = T5 - T9; + O[WS(os, 3)] = T5 + T9; + O[WS(os, 2)] = Tc + Td; + O[WS(os, 5)] = Tc - Td; + O[WS(os, 6)] = Ta + Tb; + O[WS(os, 1)] = Ta - Tb; + O[0] = FMA(KP2_000000000, T2 + T3 + T4, T1); + } +} + +static const khc2r_desc desc = { 7, "hc2r_7", {11, 6, 13, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_7) (planner *p) { + X(khc2r_register) (p, hc2r_7, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_8.c b/src/fftw3/rdft/codelets/hc2r/hc2r_8.c new file mode 100644 index 0000000..dd11bd4 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_8.c @@ -0,0 +1,95 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 8 -name hc2r_8 -include hc2r.h */ + +/* + * This function contains 20 FP additions, 6 FP multiplications, + * (or, 20 additions, 6 multiplications, 0 fused multiply/add), + * 21 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_8.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_8(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T5, Tg, T3, Te, T9, Ti, Td, Tj, T6, Ta; + { + E T4, Tf, T1, T2; + T4 = ri[WS(ris, 2)]; + T5 = KP2_000000000 * T4; + Tf = ii[WS(iis, 2)]; + Tg = KP2_000000000 * Tf; + T1 = ri[0]; + T2 = ri[WS(ris, 4)]; + T3 = T1 + T2; + Te = T1 - T2; + { + E T7, T8, Tb, Tc; + T7 = ri[WS(ris, 1)]; + T8 = ri[WS(ris, 3)]; + T9 = KP2_000000000 * (T7 + T8); + Ti = T7 - T8; + Tb = ii[WS(iis, 1)]; + Tc = ii[WS(iis, 3)]; + Td = KP2_000000000 * (Tb - Tc); + Tj = Tb + Tc; + } + } + T6 = T3 + T5; + O[WS(os, 4)] = T6 - T9; + O[0] = T6 + T9; + Ta = T3 - T5; + O[WS(os, 2)] = Ta - Td; + O[WS(os, 6)] = Ta + Td; + { + E Th, Tk, Tl, Tm; + Th = Te - Tg; + Tk = KP1_414213562 * (Ti - Tj); + O[WS(os, 5)] = Th - Tk; + O[WS(os, 1)] = Th + Tk; + Tl = Te + Tg; + Tm = KP1_414213562 * (Ti + Tj); + O[WS(os, 3)] = Tl - Tm; + O[WS(os, 7)] = Tl + Tm; + } + } +} + +static const khc2r_desc desc = { 8, "hc2r_8", {20, 6, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_8) (planner *p) { + X(khc2r_register) (p, hc2r_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hc2r_9.c b/src/fftw3/rdft/codelets/hc2r/hc2r_9.c new file mode 100644 index 0000000..91b0f78 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hc2r_9.c @@ -0,0 +1,120 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r -compact -variables 4 -sign 1 -n 9 -name hc2r_9 -include hc2r.h */ + +/* + * This function contains 32 FP additions, 18 FP multiplications, + * (or, 22 additions, 8 multiplications, 10 fused multiply/add), + * 35 stack variables, and 18 memory accesses + */ +/* + * Generator Id's : + * $Id: hc2r_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: hc2r_9.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void hc2r_9(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + DK(KP984807753, +0.984807753012208059366743024589523013670643252); + DK(KP173648177, +0.173648177666930348851716626769314796000375677); + DK(KP300767466, +0.300767466360870593278543795225003852144476517); + DK(KP1_705737063, +1.705737063904886419256501927880148143872040591); + DK(KP642787609, +0.642787609686539326322643409907263432907559884); + DK(KP766044443, +0.766044443118978035202392650555416673935832457); + DK(KP1_326827896, +1.326827896337876792410842639271782594433726619); + DK(KP1_113340798, +1.113340798452838732905825904094046265936583811); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, O = O + ovs) { + E T3, Tq, Tc, Tk, Tj, T8, Tm, Ts, Th, Tr, Tw, Tx; + { + E Tb, T1, T2, T9, Ta; + Ta = ii[WS(iis, 3)]; + Tb = KP1_732050807 * Ta; + T1 = ri[0]; + T2 = ri[WS(ris, 3)]; + T9 = T1 - T2; + T3 = FMA(KP2_000000000, T2, T1); + Tq = T9 + Tb; + Tc = T9 - Tb; + } + { + E T4, T7, Ti, Tg, Tl, Td; + T4 = ri[WS(ris, 1)]; + Tk = ii[WS(iis, 1)]; + { + E T5, T6, Te, Tf; + T5 = ri[WS(ris, 4)]; + T6 = ri[WS(ris, 2)]; + T7 = T5 + T6; + Ti = KP866025403 * (T5 - T6); + Te = ii[WS(iis, 4)]; + Tf = ii[WS(iis, 2)]; + Tg = KP866025403 * (Te + Tf); + Tj = Tf - Te; + } + T8 = T4 + T7; + Tl = FMA(KP500000000, Tj, Tk); + Tm = Ti + Tl; + Ts = Tl - Ti; + Td = FNMS(KP500000000, T7, T4); + Th = Td - Tg; + Tr = Td + Tg; + } + O[0] = FMA(KP2_000000000, T8, T3); + Tw = T3 - T8; + Tx = KP1_732050807 * (Tk - Tj); + O[WS(os, 3)] = Tw - Tx; + O[WS(os, 6)] = Tw + Tx; + { + E Tp, Tn, To, Tv, Tt, Tu; + Tp = FMA(KP1_113340798, Th, KP1_326827896 * Tm); + Tn = FNMS(KP642787609, Tm, KP766044443 * Th); + To = Tc - Tn; + O[WS(os, 1)] = FMA(KP2_000000000, Tn, Tc); + O[WS(os, 7)] = To + Tp; + O[WS(os, 4)] = To - Tp; + Tv = FMA(KP1_705737063, Tr, KP300767466 * Ts); + Tt = FNMS(KP984807753, Ts, KP173648177 * Tr); + Tu = Tq - Tt; + O[WS(os, 2)] = FMA(KP2_000000000, Tt, Tq); + O[WS(os, 8)] = Tu + Tv; + O[WS(os, 5)] = Tu - Tv; + } + } +} + +static const khc2r_desc desc = { 9, "hc2r_9", {22, 8, 10, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_hc2r_9) (planner *p) { + X(khc2r_register) (p, hc2r_9, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/hcodlist.c b/src/fftw3/rdft/codelets/hc2r/hcodlist.c new file mode 100644 index 0000000..d5d2f07 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/hcodlist.c @@ -0,0 +1,102 @@ +#include "ifftw.h" + +extern void X(codelet_hc2r_3)(planner *); +extern void X(codelet_hc2r_4)(planner *); +extern void X(codelet_hc2r_5)(planner *); +extern void X(codelet_hc2r_6)(planner *); +extern void X(codelet_hc2r_7)(planner *); +extern void X(codelet_hc2r_8)(planner *); +extern void X(codelet_hc2r_9)(planner *); +extern void X(codelet_hc2r_10)(planner *); +extern void X(codelet_hc2r_11)(planner *); +extern void X(codelet_hc2r_12)(planner *); +extern void X(codelet_hc2r_13)(planner *); +extern void X(codelet_hc2r_14)(planner *); +extern void X(codelet_hc2r_15)(planner *); +extern void X(codelet_hc2r_16)(planner *); +extern void X(codelet_hc2r_32)(planner *); +extern void X(codelet_mhc2r_32)(planner *); +extern void X(codelet_mhc2r_64)(planner *); +extern void X(codelet_mhc2r_128)(planner *); +extern void X(codelet_hb_2)(planner *); +extern void X(codelet_hb_3)(planner *); +extern void X(codelet_hb_4)(planner *); +extern void X(codelet_hb_5)(planner *); +extern void X(codelet_hb_6)(planner *); +extern void X(codelet_hb_7)(planner *); +extern void X(codelet_hb_8)(planner *); +extern void X(codelet_hb_9)(planner *); +extern void X(codelet_hb_10)(planner *); +extern void X(codelet_hb_12)(planner *); +extern void X(codelet_hb_15)(planner *); +extern void X(codelet_hb_16)(planner *); +extern void X(codelet_hb_32)(planner *); +extern void X(codelet_hb_64)(planner *); +extern void X(codelet_hc2rIII_2)(planner *); +extern void X(codelet_hc2rIII_3)(planner *); +extern void X(codelet_hc2rIII_4)(planner *); +extern void X(codelet_hc2rIII_5)(planner *); +extern void X(codelet_hc2rIII_6)(planner *); +extern void X(codelet_hc2rIII_7)(planner *); +extern void X(codelet_hc2rIII_8)(planner *); +extern void X(codelet_hc2rIII_9)(planner *); +extern void X(codelet_hc2rIII_10)(planner *); +extern void X(codelet_hc2rIII_12)(planner *); +extern void X(codelet_hc2rIII_15)(planner *); +extern void X(codelet_hc2rIII_16)(planner *); +extern void X(codelet_hc2rIII_32)(planner *); +extern void X(codelet_mhc2rIII_32)(planner *); +extern void X(codelet_mhc2rIII_64)(planner *); + + +extern const solvtab X(solvtab_rdft_hc2r); +const solvtab X(solvtab_rdft_hc2r) = { + SOLVTAB(X(codelet_hc2r_3)), + SOLVTAB(X(codelet_hc2r_4)), + SOLVTAB(X(codelet_hc2r_5)), + SOLVTAB(X(codelet_hc2r_6)), + SOLVTAB(X(codelet_hc2r_7)), + SOLVTAB(X(codelet_hc2r_8)), + SOLVTAB(X(codelet_hc2r_9)), + SOLVTAB(X(codelet_hc2r_10)), + SOLVTAB(X(codelet_hc2r_11)), + SOLVTAB(X(codelet_hc2r_12)), + SOLVTAB(X(codelet_hc2r_13)), + SOLVTAB(X(codelet_hc2r_14)), + SOLVTAB(X(codelet_hc2r_15)), + SOLVTAB(X(codelet_hc2r_16)), + SOLVTAB(X(codelet_hc2r_32)), + SOLVTAB(X(codelet_mhc2r_32)), + SOLVTAB(X(codelet_mhc2r_64)), + SOLVTAB(X(codelet_mhc2r_128)), + SOLVTAB(X(codelet_hb_2)), + SOLVTAB(X(codelet_hb_3)), + SOLVTAB(X(codelet_hb_4)), + SOLVTAB(X(codelet_hb_5)), + SOLVTAB(X(codelet_hb_6)), + SOLVTAB(X(codelet_hb_7)), + SOLVTAB(X(codelet_hb_8)), + SOLVTAB(X(codelet_hb_9)), + SOLVTAB(X(codelet_hb_10)), + SOLVTAB(X(codelet_hb_12)), + SOLVTAB(X(codelet_hb_15)), + SOLVTAB(X(codelet_hb_16)), + SOLVTAB(X(codelet_hb_32)), + SOLVTAB(X(codelet_hb_64)), + SOLVTAB(X(codelet_hc2rIII_2)), + SOLVTAB(X(codelet_hc2rIII_3)), + SOLVTAB(X(codelet_hc2rIII_4)), + SOLVTAB(X(codelet_hc2rIII_5)), + SOLVTAB(X(codelet_hc2rIII_6)), + SOLVTAB(X(codelet_hc2rIII_7)), + SOLVTAB(X(codelet_hc2rIII_8)), + SOLVTAB(X(codelet_hc2rIII_9)), + SOLVTAB(X(codelet_hc2rIII_10)), + SOLVTAB(X(codelet_hc2rIII_12)), + SOLVTAB(X(codelet_hc2rIII_15)), + SOLVTAB(X(codelet_hc2rIII_16)), + SOLVTAB(X(codelet_hc2rIII_32)), + SOLVTAB(X(codelet_mhc2rIII_32)), + SOLVTAB(X(codelet_mhc2rIII_64)), + SOLVTAB_END +}; diff --git a/src/fftw3/rdft/codelets/hc2r/mhc2rIII_32.c b/src/fftw3/rdft/codelets/hc2r/mhc2rIII_32.c new file mode 100644 index 0000000..5ae4ebf --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/mhc2rIII_32.c @@ -0,0 +1,381 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:16 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r_noinline -compact -variables 4 -sign 1 -n 32 -name mhc2rIII_32 -dft-III -include hc2rIII.h */ + +/* + * This function contains 174 FP additions, 84 FP multiplications, + * (or, 138 additions, 48 multiplications, 36 fused multiply/add), + * 65 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: mhc2rIII_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2rIII_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2rIII_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void mhc2rIII_32_0(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os) +{ + DK(KP1_913880671, +1.913880671464417729871595773960539938965698411); + DK(KP580569354, +0.580569354508924735272384751634790549382952557); + DK(KP942793473, +0.942793473651995297112775251810508755314920638); + DK(KP1_763842528, +1.763842528696710059425513727320776699016885241); + DK(KP1_546020906, +1.546020906725473921621813219516939601942082586); + DK(KP1_268786568, +1.268786568327290996430343226450986741351374190); + DK(KP196034280, +0.196034280659121203988391127777283691722273346); + DK(KP1_990369453, +1.990369453344393772489673906218959843150949737); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T7, T2i, T2F, Tz, T1k, T1I, T1Z, T1x, Te, T22, T2E, T2j, T1f, T1y, TK; + E T1J, Tm, T2B, TW, T1a, T1C, T1L, T28, T2l, Tt, T2A, T17, T1b, T1F, T1M; + E T2d, T2m; + { + E T3, Tv, T1j, T2h, T6, T1g, Ty, T2g; + { + E T1, T2, T1h, T1i; + T1 = ri[0]; + T2 = ri[WS(ris, 15)]; + T3 = T1 + T2; + Tv = T1 - T2; + T1h = ii[0]; + T1i = ii[WS(iis, 15)]; + T1j = T1h + T1i; + T2h = T1i - T1h; + } + { + E T4, T5, Tw, Tx; + T4 = ri[WS(ris, 8)]; + T5 = ri[WS(ris, 7)]; + T6 = T4 + T5; + T1g = T4 - T5; + Tw = ii[WS(iis, 8)]; + Tx = ii[WS(iis, 7)]; + Ty = Tw + Tx; + T2g = Tw - Tx; + } + T7 = T3 + T6; + T2i = T2g + T2h; + T2F = T2h - T2g; + Tz = Tv - Ty; + T1k = T1g + T1j; + T1I = T1g - T1j; + T1Z = T3 - T6; + T1x = Tv + Ty; + } + { + E Ta, TA, TD, T21, Td, TF, TI, T20; + { + E T8, T9, TB, TC; + T8 = ri[WS(ris, 4)]; + T9 = ri[WS(ris, 11)]; + Ta = T8 + T9; + TA = T8 - T9; + TB = ii[WS(iis, 4)]; + TC = ii[WS(iis, 11)]; + TD = TB + TC; + T21 = TB - TC; + } + { + E Tb, Tc, TG, TH; + Tb = ri[WS(ris, 3)]; + Tc = ri[WS(ris, 12)]; + Td = Tb + Tc; + TF = Tb - Tc; + TG = ii[WS(iis, 3)]; + TH = ii[WS(iis, 12)]; + TI = TG + TH; + T20 = TH - TG; + } + Te = Ta + Td; + T22 = T20 - T21; + T2E = T21 + T20; + T2j = Ta - Td; + { + E T1d, T1e, TE, TJ; + T1d = TA + TD; + T1e = TF + TI; + T1f = KP707106781 * (T1d - T1e); + T1y = KP707106781 * (T1d + T1e); + TE = TA - TD; + TJ = TF - TI; + TK = KP707106781 * (TE + TJ); + T1J = KP707106781 * (TE - TJ); + } + } + { + E Ti, TM, TU, T25, Tl, TR, TP, T26, TQ, TV; + { + E Tg, Th, TS, TT; + Tg = ri[WS(ris, 2)]; + Th = ri[WS(ris, 13)]; + Ti = Tg + Th; + TM = Tg - Th; + TS = ii[WS(iis, 2)]; + TT = ii[WS(iis, 13)]; + TU = TS + TT; + T25 = TS - TT; + } + { + E Tj, Tk, TN, TO; + Tj = ri[WS(ris, 10)]; + Tk = ri[WS(ris, 5)]; + Tl = Tj + Tk; + TR = Tj - Tk; + TN = ii[WS(iis, 10)]; + TO = ii[WS(iis, 5)]; + TP = TN + TO; + T26 = TN - TO; + } + Tm = Ti + Tl; + T2B = T26 + T25; + TQ = TM - TP; + TV = TR + TU; + TW = FNMS(KP382683432, TV, KP923879532 * TQ); + T1a = FMA(KP382683432, TQ, KP923879532 * TV); + { + E T1A, T1B, T24, T27; + T1A = TM + TP; + T1B = TU - TR; + T1C = FNMS(KP923879532, T1B, KP382683432 * T1A); + T1L = FMA(KP923879532, T1A, KP382683432 * T1B); + T24 = Ti - Tl; + T27 = T25 - T26; + T28 = T24 - T27; + T2l = T24 + T27; + } + } + { + E Tp, TX, T15, T2a, Ts, T12, T10, T2b, T11, T16; + { + E Tn, To, T13, T14; + Tn = ri[WS(ris, 1)]; + To = ri[WS(ris, 14)]; + Tp = Tn + To; + TX = Tn - To; + T13 = ii[WS(iis, 1)]; + T14 = ii[WS(iis, 14)]; + T15 = T13 + T14; + T2a = T14 - T13; + } + { + E Tq, Tr, TY, TZ; + Tq = ri[WS(ris, 6)]; + Tr = ri[WS(ris, 9)]; + Ts = Tq + Tr; + T12 = Tq - Tr; + TY = ii[WS(iis, 6)]; + TZ = ii[WS(iis, 9)]; + T10 = TY + TZ; + T2b = TY - TZ; + } + Tt = Tp + Ts; + T2A = T2b + T2a; + T11 = TX - T10; + T16 = T12 - T15; + T17 = FMA(KP923879532, T11, KP382683432 * T16); + T1b = FNMS(KP382683432, T11, KP923879532 * T16); + { + E T1D, T1E, T29, T2c; + T1D = TX + T10; + T1E = T12 + T15; + T1F = FNMS(KP923879532, T1E, KP382683432 * T1D); + T1M = FMA(KP923879532, T1D, KP382683432 * T1E); + T29 = Tp - Ts; + T2c = T2a - T2b; + T2d = T29 + T2c; + T2m = T2c - T29; + } + } + { + E Tf, Tu, T2L, T2M, T2N, T2O; + Tf = T7 + Te; + Tu = Tm + Tt; + T2L = Tf - Tu; + T2M = T2B + T2A; + T2N = T2F - T2E; + T2O = T2M + T2N; + O[0] = KP2_000000000 * (Tf + Tu); + O[WS(os, 16)] = KP2_000000000 * (T2N - T2M); + O[WS(os, 8)] = KP1_414213562 * (T2L + T2O); + O[WS(os, 24)] = KP1_414213562 * (T2O - T2L); + } + { + E T2t, T2x, T2w, T2y; + { + E T2r, T2s, T2u, T2v; + T2r = T1Z - T22; + T2s = KP707106781 * (T2m - T2l); + T2t = T2r + T2s; + T2x = T2r - T2s; + T2u = T2j + T2i; + T2v = KP707106781 * (T28 - T2d); + T2w = T2u - T2v; + T2y = T2v + T2u; + } + O[WS(os, 6)] = FMA(KP1_662939224, T2t, KP1_111140466 * T2w); + O[WS(os, 30)] = FNMS(KP1_961570560, T2x, KP390180644 * T2y); + O[WS(os, 22)] = FNMS(KP1_111140466, T2t, KP1_662939224 * T2w); + O[WS(os, 14)] = FMA(KP390180644, T2x, KP1_961570560 * T2y); + } + { + E T2D, T2J, T2I, T2K; + { + E T2z, T2C, T2G, T2H; + T2z = T7 - Te; + T2C = T2A - T2B; + T2D = T2z + T2C; + T2J = T2z - T2C; + T2G = T2E + T2F; + T2H = Tm - Tt; + T2I = T2G - T2H; + T2K = T2H + T2G; + } + O[WS(os, 4)] = FMA(KP1_847759065, T2D, KP765366864 * T2I); + O[WS(os, 28)] = FNMS(KP1_847759065, T2J, KP765366864 * T2K); + O[WS(os, 20)] = FNMS(KP765366864, T2D, KP1_847759065 * T2I); + O[WS(os, 12)] = FMA(KP765366864, T2J, KP1_847759065 * T2K); + } + { + E T19, T1n, T1m, T1o; + { + E TL, T18, T1c, T1l; + TL = Tz + TK; + T18 = TW + T17; + T19 = TL + T18; + T1n = TL - T18; + T1c = T1a + T1b; + T1l = T1f + T1k; + T1m = T1c + T1l; + T1o = T1c - T1l; + } + O[WS(os, 1)] = FNMS(KP196034280, T1m, KP1_990369453 * T19); + O[WS(os, 25)] = FNMS(KP1_546020906, T1n, KP1_268786568 * T1o); + O[WS(os, 17)] = -(FMA(KP196034280, T19, KP1_990369453 * T1m)); + O[WS(os, 9)] = FMA(KP1_268786568, T1n, KP1_546020906 * T1o); + } + { + E T1r, T1v, T1u, T1w; + { + E T1p, T1q, T1s, T1t; + T1p = Tz - TK; + T1q = T1b - T1a; + T1r = T1p + T1q; + T1v = T1p - T1q; + T1s = T1f - T1k; + T1t = TW - T17; + T1u = T1s - T1t; + T1w = T1t + T1s; + } + O[WS(os, 5)] = FMA(KP1_763842528, T1r, KP942793473 * T1u); + O[WS(os, 29)] = FNMS(KP1_913880671, T1v, KP580569354 * T1w); + O[WS(os, 21)] = FNMS(KP942793473, T1r, KP1_763842528 * T1u); + O[WS(os, 13)] = FMA(KP580569354, T1v, KP1_913880671 * T1w); + } + { + E T1T, T1X, T1W, T1Y; + { + E T1R, T1S, T1U, T1V; + T1R = T1x + T1y; + T1S = T1L + T1M; + T1T = T1R - T1S; + T1X = T1R + T1S; + T1U = T1J + T1I; + T1V = T1C - T1F; + T1W = T1U - T1V; + T1Y = T1V + T1U; + } + O[WS(os, 7)] = FMA(KP1_546020906, T1T, KP1_268786568 * T1W); + O[WS(os, 31)] = FNMS(KP1_990369453, T1X, KP196034280 * T1Y); + O[WS(os, 23)] = FNMS(KP1_268786568, T1T, KP1_546020906 * T1W); + O[WS(os, 15)] = FMA(KP196034280, T1X, KP1_990369453 * T1Y); + } + { + E T2f, T2p, T2o, T2q; + { + E T23, T2e, T2k, T2n; + T23 = T1Z + T22; + T2e = KP707106781 * (T28 + T2d); + T2f = T23 + T2e; + T2p = T23 - T2e; + T2k = T2i - T2j; + T2n = KP707106781 * (T2l + T2m); + T2o = T2k - T2n; + T2q = T2n + T2k; + } + O[WS(os, 2)] = FMA(KP1_961570560, T2f, KP390180644 * T2o); + O[WS(os, 26)] = FNMS(KP1_662939224, T2p, KP1_111140466 * T2q); + O[WS(os, 18)] = FNMS(KP390180644, T2f, KP1_961570560 * T2o); + O[WS(os, 10)] = FMA(KP1_111140466, T2p, KP1_662939224 * T2q); + } + { + E T1H, T1P, T1O, T1Q; + { + E T1z, T1G, T1K, T1N; + T1z = T1x - T1y; + T1G = T1C + T1F; + T1H = T1z + T1G; + T1P = T1z - T1G; + T1K = T1I - T1J; + T1N = T1L - T1M; + T1O = T1K - T1N; + T1Q = T1N + T1K; + } + O[WS(os, 3)] = FMA(KP1_913880671, T1H, KP580569354 * T1O); + O[WS(os, 27)] = FNMS(KP1_763842528, T1P, KP942793473 * T1Q); + O[WS(os, 19)] = FNMS(KP580569354, T1H, KP1_913880671 * T1O); + O[WS(os, 11)] = FMA(KP942793473, T1P, KP1_763842528 * T1Q); + } + } +} + +static void mhc2rIII_32(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mhc2rIII_32_0(ri, ii, O, ris, iis, os); + ri += ivs; + ii += ivs; + O += ovs; + } +} + +static const khc2r_desc desc = { 32, "mhc2rIII_32", {138, 48, 36, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mhc2rIII_32) (planner *p) { + X(khc2rIII_register) (p, mhc2rIII_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/mhc2rIII_64.c b/src/fftw3/rdft/codelets/hc2r/mhc2rIII_64.c new file mode 100644 index 0000000..42e7790 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/mhc2rIII_64.c @@ -0,0 +1,819 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:12:24 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r_noinline -compact -variables 4 -sign 1 -n 64 -name mhc2rIII_64 -dft-III -include hc2rIII.h */ + +/* + * This function contains 434 FP additions, 208 FP multiplications, + * (or, 342 additions, 116 multiplications, 92 fused multiply/add), + * 129 stack variables, and 128 memory accesses + */ +/* + * Generator Id's : + * $Id: mhc2rIII_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2rIII_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2rIII_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2rIII.h" + +static void mhc2rIII_64_0(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os) +{ + DK(KP1_343117909, +1.343117909694036801250753700854843606457501264); + DK(KP1_481902250, +1.481902250709918182351233794990325459457910619); + DK(KP1_807978586, +1.807978586246886663172400594461074097420264050); + DK(KP855110186, +0.855110186860564188641933713777597068609157259); + DK(KP1_997590912, +1.997590912410344785429543209518201388886407229); + DK(KP098135348, +0.098135348654836028509909953885365316629490726); + DK(KP673779706, +0.673779706784440101378506425238295140955533559); + DK(KP1_883088130, +1.883088130366041556825018805199004714371179592); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP1_191398608, +1.191398608984866686934073057659939779023852677); + DK(KP1_606415062, +1.606415062961289819613353025926283847759138854); + DK(KP1_715457220, +1.715457220000544139804539968569540274084981599); + DK(KP1_028205488, +1.028205488386443453187387677937631545216098241); + DK(KP1_978353019, +1.978353019929561946903347476032486127967379067); + DK(KP293460948, +0.293460948910723503317700259293435639412430633); + DK(KP485960359, +0.485960359806527779896548324154942236641981567); + DK(KP1_940062506, +1.940062506389087985207968414572200502913731924); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP1_268786568, +1.268786568327290996430343226450986741351374190); + DK(KP1_546020906, +1.546020906725473921621813219516939601942082586); + DK(KP1_763842528, +1.763842528696710059425513727320776699016885241); + DK(KP942793473, +0.942793473651995297112775251810508755314920638); + DK(KP1_990369453, +1.990369453344393772489673906218959843150949737); + DK(KP196034280, +0.196034280659121203988391127777283691722273346); + DK(KP580569354, +0.580569354508924735272384751634790549382952557); + DK(KP1_913880671, +1.913880671464417729871595773960539938965698411); + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T15, T3t, T3U, T2N, Tf, T6b, T6u, T6R, T4L, T5J, T1g, T3V, T5q, T5U, T2I; + E T3u, Tu, T6v, T4V, T5s, T6e, T6Q, T1s, T2D, T1D, T2E, T3B, T3Y, T4Q, T5r; + E T3y, T3X, TK, T6g, T57, T5N, T6j, T6N, T1W, T34, T25, T35, T3J, T4j, T52; + E T5M, T3G, T4i, TZ, T6l, T5i, T5Q, T6o, T6M, T2n, T37, T2w, T38, T3Q, T4m; + E T5d, T5P, T3N, T4l; + { + E T3, T11, T2M, T5n, T6, T2J, T14, T5m, Ta, T16, T19, T4J, Td, T1b, T1e; + E T4I; + { + E T1, T2, T2K, T2L; + T1 = ri[0]; + T2 = ri[WS(ris, 31)]; + T3 = T1 + T2; + T11 = T1 - T2; + T2K = ii[0]; + T2L = ii[WS(iis, 31)]; + T2M = T2K + T2L; + T5n = T2L - T2K; + } + { + E T4, T5, T12, T13; + T4 = ri[WS(ris, 16)]; + T5 = ri[WS(ris, 15)]; + T6 = T4 + T5; + T2J = T4 - T5; + T12 = ii[WS(iis, 16)]; + T13 = ii[WS(iis, 15)]; + T14 = T12 + T13; + T5m = T12 - T13; + } + { + E T8, T9, T17, T18; + T8 = ri[WS(ris, 8)]; + T9 = ri[WS(ris, 23)]; + Ta = T8 + T9; + T16 = T8 - T9; + T17 = ii[WS(iis, 8)]; + T18 = ii[WS(iis, 23)]; + T19 = T17 + T18; + T4J = T17 - T18; + } + { + E Tb, Tc, T1c, T1d; + Tb = ri[WS(ris, 7)]; + Tc = ri[WS(ris, 24)]; + Td = Tb + Tc; + T1b = Tb - Tc; + T1c = ii[WS(iis, 7)]; + T1d = ii[WS(iis, 24)]; + T1e = T1c + T1d; + T4I = T1d - T1c; + } + { + E T7, Te, T1a, T1f; + T15 = T11 - T14; + T3t = T11 + T14; + T3U = T2J - T2M; + T2N = T2J + T2M; + T7 = T3 + T6; + Te = Ta + Td; + Tf = T7 + Te; + T6b = T7 - Te; + { + E T6s, T6t, T4H, T4K; + T6s = T4J + T4I; + T6t = T5n - T5m; + T6u = T6s + T6t; + T6R = T6t - T6s; + T4H = T3 - T6; + T4K = T4I - T4J; + T4L = T4H + T4K; + T5J = T4H - T4K; + } + T1a = T16 - T19; + T1f = T1b - T1e; + T1g = KP707106781 * (T1a + T1f); + T3V = KP707106781 * (T1a - T1f); + { + E T5o, T5p, T2G, T2H; + T5o = T5m + T5n; + T5p = Ta - Td; + T5q = T5o - T5p; + T5U = T5p + T5o; + T2G = T16 + T19; + T2H = T1b + T1e; + T2I = KP707106781 * (T2G - T2H); + T3u = KP707106781 * (T2G + T2H); + } + } + } + { + E Ti, T1i, T1q, T4N, Tl, T1n, T1l, T4O, Tp, T1t, T1B, T4S, Ts, T1y, T1w; + E T4T; + { + E Tg, Th, T1o, T1p; + Tg = ri[WS(ris, 4)]; + Th = ri[WS(ris, 27)]; + Ti = Tg + Th; + T1i = Tg - Th; + T1o = ii[WS(iis, 4)]; + T1p = ii[WS(iis, 27)]; + T1q = T1o + T1p; + T4N = T1o - T1p; + } + { + E Tj, Tk, T1j, T1k; + Tj = ri[WS(ris, 20)]; + Tk = ri[WS(ris, 11)]; + Tl = Tj + Tk; + T1n = Tj - Tk; + T1j = ii[WS(iis, 20)]; + T1k = ii[WS(iis, 11)]; + T1l = T1j + T1k; + T4O = T1j - T1k; + } + { + E Tn, To, T1z, T1A; + Tn = ri[WS(ris, 3)]; + To = ri[WS(ris, 28)]; + Tp = Tn + To; + T1t = Tn - To; + T1z = ii[WS(iis, 3)]; + T1A = ii[WS(iis, 28)]; + T1B = T1z + T1A; + T4S = T1A - T1z; + } + { + E Tq, Tr, T1u, T1v; + Tq = ri[WS(ris, 12)]; + Tr = ri[WS(ris, 19)]; + Ts = Tq + Tr; + T1y = Tq - Tr; + T1u = ii[WS(iis, 12)]; + T1v = ii[WS(iis, 19)]; + T1w = T1u + T1v; + T4T = T1u - T1v; + } + { + E Tm, Tt, T4R, T4U; + Tm = Ti + Tl; + Tt = Tp + Ts; + Tu = Tm + Tt; + T6v = Tm - Tt; + T4R = Tp - Ts; + T4U = T4S - T4T; + T4V = T4R + T4U; + T5s = T4U - T4R; + } + { + E T6c, T6d, T1m, T1r; + T6c = T4T + T4S; + T6d = T4O + T4N; + T6e = T6c - T6d; + T6Q = T6d + T6c; + T1m = T1i - T1l; + T1r = T1n + T1q; + T1s = FNMS(KP382683432, T1r, KP923879532 * T1m); + T2D = FMA(KP382683432, T1m, KP923879532 * T1r); + } + { + E T1x, T1C, T3z, T3A; + T1x = T1t - T1w; + T1C = T1y - T1B; + T1D = FMA(KP923879532, T1x, KP382683432 * T1C); + T2E = FNMS(KP382683432, T1x, KP923879532 * T1C); + T3z = T1t + T1w; + T3A = T1y + T1B; + T3B = FNMS(KP923879532, T3A, KP382683432 * T3z); + T3Y = FMA(KP923879532, T3z, KP382683432 * T3A); + } + { + E T4M, T4P, T3w, T3x; + T4M = Ti - Tl; + T4P = T4N - T4O; + T4Q = T4M - T4P; + T5r = T4M + T4P; + T3w = T1i + T1l; + T3x = T1q - T1n; + T3y = FNMS(KP923879532, T3x, KP382683432 * T3w); + T3X = FMA(KP923879532, T3w, KP382683432 * T3x); + } + } + { + E Ty, T1G, T23, T54, TB, T20, T1J, T55, TI, T4Z, T1U, T1Y, TF, T50, T1P; + E T1X; + { + E Tw, Tx, T1H, T1I; + Tw = ri[WS(ris, 2)]; + Tx = ri[WS(ris, 29)]; + Ty = Tw + Tx; + T1G = Tw - Tx; + { + E T21, T22, Tz, TA; + T21 = ii[WS(iis, 2)]; + T22 = ii[WS(iis, 29)]; + T23 = T21 + T22; + T54 = T21 - T22; + Tz = ri[WS(ris, 18)]; + TA = ri[WS(ris, 13)]; + TB = Tz + TA; + T20 = Tz - TA; + } + T1H = ii[WS(iis, 18)]; + T1I = ii[WS(iis, 13)]; + T1J = T1H + T1I; + T55 = T1H - T1I; + { + E TG, TH, T1Q, T1R, T1S, T1T; + TG = ri[WS(ris, 5)]; + TH = ri[WS(ris, 26)]; + T1Q = TG - TH; + T1R = ii[WS(iis, 5)]; + T1S = ii[WS(iis, 26)]; + T1T = T1R + T1S; + TI = TG + TH; + T4Z = T1S - T1R; + T1U = T1Q - T1T; + T1Y = T1Q + T1T; + } + { + E TD, TE, T1L, T1M, T1N, T1O; + TD = ri[WS(ris, 10)]; + TE = ri[WS(ris, 21)]; + T1L = TD - TE; + T1M = ii[WS(iis, 10)]; + T1N = ii[WS(iis, 21)]; + T1O = T1M + T1N; + TF = TD + TE; + T50 = T1M - T1N; + T1P = T1L - T1O; + T1X = T1L + T1O; + } + } + { + E TC, TJ, T53, T56; + TC = Ty + TB; + TJ = TF + TI; + TK = TC + TJ; + T6g = TC - TJ; + T53 = TF - TI; + T56 = T54 - T55; + T57 = T53 + T56; + T5N = T56 - T53; + } + { + E T6h, T6i, T1K, T1V; + T6h = T55 + T54; + T6i = T50 + T4Z; + T6j = T6h - T6i; + T6N = T6i + T6h; + T1K = T1G - T1J; + T1V = KP707106781 * (T1P + T1U); + T1W = T1K + T1V; + T34 = T1K - T1V; + } + { + E T1Z, T24, T3H, T3I; + T1Z = KP707106781 * (T1X - T1Y); + T24 = T20 + T23; + T25 = T1Z + T24; + T35 = T24 - T1Z; + T3H = KP707106781 * (T1P - T1U); + T3I = T23 - T20; + T3J = T3H + T3I; + T4j = T3I - T3H; + } + { + E T4Y, T51, T3E, T3F; + T4Y = Ty - TB; + T51 = T4Z - T50; + T52 = T4Y + T51; + T5M = T4Y - T51; + T3E = T1G + T1J; + T3F = KP707106781 * (T1X + T1Y); + T3G = T3E - T3F; + T4i = T3E + T3F; + } + } + { + E TN, T27, T2u, T5f, TQ, T2r, T2a, T5g, TX, T5a, T2l, T2p, TU, T5b, T2g; + E T2o; + { + E TL, TM, T28, T29; + TL = ri[WS(ris, 1)]; + TM = ri[WS(ris, 30)]; + TN = TL + TM; + T27 = TL - TM; + { + E T2s, T2t, TO, TP; + T2s = ii[WS(iis, 1)]; + T2t = ii[WS(iis, 30)]; + T2u = T2s + T2t; + T5f = T2t - T2s; + TO = ri[WS(ris, 14)]; + TP = ri[WS(ris, 17)]; + TQ = TO + TP; + T2r = TO - TP; + } + T28 = ii[WS(iis, 14)]; + T29 = ii[WS(iis, 17)]; + T2a = T28 + T29; + T5g = T28 - T29; + { + E TV, TW, T2h, T2i, T2j, T2k; + TV = ri[WS(ris, 9)]; + TW = ri[WS(ris, 22)]; + T2h = TV - TW; + T2i = ii[WS(iis, 9)]; + T2j = ii[WS(iis, 22)]; + T2k = T2i + T2j; + TX = TV + TW; + T5a = T2j - T2i; + T2l = T2h - T2k; + T2p = T2h + T2k; + } + { + E TS, TT, T2c, T2d, T2e, T2f; + TS = ri[WS(ris, 6)]; + TT = ri[WS(ris, 25)]; + T2c = TS - TT; + T2d = ii[WS(iis, 6)]; + T2e = ii[WS(iis, 25)]; + T2f = T2d + T2e; + TU = TS + TT; + T5b = T2d - T2e; + T2g = T2c - T2f; + T2o = T2c + T2f; + } + } + { + E TR, TY, T5e, T5h; + TR = TN + TQ; + TY = TU + TX; + TZ = TR + TY; + T6l = TR - TY; + T5e = TU - TX; + T5h = T5f - T5g; + T5i = T5e + T5h; + T5Q = T5h - T5e; + } + { + E T6m, T6n, T2b, T2m; + T6m = T5g + T5f; + T6n = T5b + T5a; + T6o = T6m - T6n; + T6M = T6n + T6m; + T2b = T27 - T2a; + T2m = KP707106781 * (T2g + T2l); + T2n = T2b + T2m; + T37 = T2b - T2m; + } + { + E T2q, T2v, T3O, T3P; + T2q = KP707106781 * (T2o - T2p); + T2v = T2r - T2u; + T2w = T2q + T2v; + T38 = T2v - T2q; + T3O = KP707106781 * (T2g - T2l); + T3P = T2r + T2u; + T3Q = T3O - T3P; + T4m = T3O + T3P; + } + { + E T59, T5c, T3L, T3M; + T59 = TN - TQ; + T5c = T5a - T5b; + T5d = T59 + T5c; + T5P = T59 - T5c; + T3L = T27 + T2a; + T3M = KP707106781 * (T2o + T2p); + T3N = T3L - T3M; + T4l = T3L + T3M; + } + } + { + E Tv, T10, T6X, T6Y, T6Z, T70; + Tv = Tf + Tu; + T10 = TK + TZ; + T6X = Tv - T10; + T6Y = T6N + T6M; + T6Z = T6R - T6Q; + T70 = T6Y + T6Z; + O[0] = KP2_000000000 * (Tv + T10); + O[WS(os, 32)] = KP2_000000000 * (T6Z - T6Y); + O[WS(os, 16)] = KP1_414213562 * (T6X + T70); + O[WS(os, 48)] = KP1_414213562 * (T70 - T6X); + } + { + E T6P, T6V, T6U, T6W; + { + E T6L, T6O, T6S, T6T; + T6L = Tf - Tu; + T6O = T6M - T6N; + T6P = T6L + T6O; + T6V = T6L - T6O; + T6S = T6Q + T6R; + T6T = TK - TZ; + T6U = T6S - T6T; + T6W = T6T + T6S; + } + O[WS(os, 8)] = FMA(KP1_847759065, T6P, KP765366864 * T6U); + O[WS(os, 56)] = FNMS(KP1_847759065, T6V, KP765366864 * T6W); + O[WS(os, 40)] = FNMS(KP765366864, T6P, KP1_847759065 * T6U); + O[WS(os, 24)] = FMA(KP765366864, T6V, KP1_847759065 * T6W); + } + { + E T6f, T6w, T6G, T6D, T6z, T6E, T6q, T6H; + T6f = T6b + T6e; + T6w = T6u - T6v; + T6G = T6v + T6u; + T6D = T6b - T6e; + { + E T6x, T6y, T6k, T6p; + T6x = T6g + T6j; + T6y = T6o - T6l; + T6z = KP707106781 * (T6x + T6y); + T6E = KP707106781 * (T6y - T6x); + T6k = T6g - T6j; + T6p = T6l + T6o; + T6q = KP707106781 * (T6k + T6p); + T6H = KP707106781 * (T6k - T6p); + } + { + E T6r, T6A, T6J, T6K; + T6r = T6f + T6q; + T6A = T6w - T6z; + O[WS(os, 4)] = FMA(KP1_961570560, T6r, KP390180644 * T6A); + O[WS(os, 36)] = FNMS(KP390180644, T6r, KP1_961570560 * T6A); + T6J = T6D - T6E; + T6K = T6H + T6G; + O[WS(os, 28)] = FMA(KP390180644, T6J, KP1_961570560 * T6K); + O[WS(os, 60)] = FNMS(KP1_961570560, T6J, KP390180644 * T6K); + } + { + E T6B, T6C, T6F, T6I; + T6B = T6f - T6q; + T6C = T6z + T6w; + O[WS(os, 20)] = FMA(KP1_111140466, T6B, KP1_662939224 * T6C); + O[WS(os, 52)] = FNMS(KP1_662939224, T6B, KP1_111140466 * T6C); + T6F = T6D + T6E; + T6I = T6G - T6H; + O[WS(os, 12)] = FMA(KP1_662939224, T6F, KP1_111140466 * T6I); + O[WS(os, 44)] = FNMS(KP1_111140466, T6F, KP1_662939224 * T6I); + } + } + { + E T5L, T63, T5W, T66, T5S, T67, T5Z, T64, T5K, T5V; + T5K = KP707106781 * (T5s - T5r); + T5L = T5J + T5K; + T63 = T5J - T5K; + T5V = KP707106781 * (T4Q - T4V); + T5W = T5U - T5V; + T66 = T5V + T5U; + { + E T5O, T5R, T5X, T5Y; + T5O = FNMS(KP923879532, T5N, KP382683432 * T5M); + T5R = FMA(KP382683432, T5P, KP923879532 * T5Q); + T5S = T5O + T5R; + T67 = T5O - T5R; + T5X = FMA(KP923879532, T5M, KP382683432 * T5N); + T5Y = FNMS(KP923879532, T5P, KP382683432 * T5Q); + T5Z = T5X + T5Y; + T64 = T5Y - T5X; + } + { + E T5T, T60, T69, T6a; + T5T = T5L + T5S; + T60 = T5W - T5Z; + O[WS(os, 6)] = FMA(KP1_913880671, T5T, KP580569354 * T60); + O[WS(os, 38)] = FNMS(KP580569354, T5T, KP1_913880671 * T60); + T69 = T63 - T64; + T6a = T67 + T66; + O[WS(os, 30)] = FMA(KP196034280, T69, KP1_990369453 * T6a); + O[WS(os, 62)] = FNMS(KP1_990369453, T69, KP196034280 * T6a); + } + { + E T61, T62, T65, T68; + T61 = T5L - T5S; + T62 = T5Z + T5W; + O[WS(os, 22)] = FMA(KP942793473, T61, KP1_763842528 * T62); + O[WS(os, 54)] = FNMS(KP1_763842528, T61, KP942793473 * T62); + T65 = T63 + T64; + T68 = T66 - T67; + O[WS(os, 14)] = FMA(KP1_546020906, T65, KP1_268786568 * T68); + O[WS(os, 46)] = FNMS(KP1_268786568, T65, KP1_546020906 * T68); + } + } + { + E T4X, T5B, T5u, T5E, T5k, T5F, T5x, T5C, T4W, T5t; + T4W = KP707106781 * (T4Q + T4V); + T4X = T4L + T4W; + T5B = T4L - T4W; + T5t = KP707106781 * (T5r + T5s); + T5u = T5q - T5t; + T5E = T5t + T5q; + { + E T58, T5j, T5v, T5w; + T58 = FNMS(KP382683432, T57, KP923879532 * T52); + T5j = FMA(KP923879532, T5d, KP382683432 * T5i); + T5k = T58 + T5j; + T5F = T58 - T5j; + T5v = FMA(KP382683432, T52, KP923879532 * T57); + T5w = FNMS(KP382683432, T5d, KP923879532 * T5i); + T5x = T5v + T5w; + T5C = T5w - T5v; + } + { + E T5l, T5y, T5H, T5I; + T5l = T4X + T5k; + T5y = T5u - T5x; + O[WS(os, 2)] = FMA(KP1_990369453, T5l, KP196034280 * T5y); + O[WS(os, 34)] = FNMS(KP196034280, T5l, KP1_990369453 * T5y); + T5H = T5B - T5C; + T5I = T5F + T5E; + O[WS(os, 26)] = FMA(KP580569354, T5H, KP1_913880671 * T5I); + O[WS(os, 58)] = FNMS(KP1_913880671, T5H, KP580569354 * T5I); + } + { + E T5z, T5A, T5D, T5G; + T5z = T4X - T5k; + T5A = T5x + T5u; + O[WS(os, 18)] = FMA(KP1_268786568, T5z, KP1_546020906 * T5A); + O[WS(os, 50)] = FNMS(KP1_546020906, T5z, KP1_268786568 * T5A); + T5D = T5B + T5C; + T5G = T5E - T5F; + O[WS(os, 10)] = FMA(KP1_763842528, T5D, KP942793473 * T5G); + O[WS(os, 42)] = FNMS(KP942793473, T5D, KP1_763842528 * T5G); + } + } + { + E T33, T3l, T3h, T3m, T3a, T3p, T3e, T3o; + { + E T31, T32, T3f, T3g; + T31 = T15 - T1g; + T32 = T2E - T2D; + T33 = T31 + T32; + T3l = T31 - T32; + T3f = FMA(KP831469612, T34, KP555570233 * T35); + T3g = FNMS(KP831469612, T37, KP555570233 * T38); + T3h = T3f + T3g; + T3m = T3g - T3f; + } + { + E T36, T39, T3c, T3d; + T36 = FNMS(KP831469612, T35, KP555570233 * T34); + T39 = FMA(KP555570233, T37, KP831469612 * T38); + T3a = T36 + T39; + T3p = T36 - T39; + T3c = T2I - T2N; + T3d = T1s - T1D; + T3e = T3c - T3d; + T3o = T3d + T3c; + } + { + E T3b, T3i, T3r, T3s; + T3b = T33 + T3a; + T3i = T3e - T3h; + O[WS(os, 5)] = FMA(KP1_940062506, T3b, KP485960359 * T3i); + O[WS(os, 37)] = FNMS(KP485960359, T3b, KP1_940062506 * T3i); + T3r = T3l - T3m; + T3s = T3p + T3o; + O[WS(os, 29)] = FMA(KP293460948, T3r, KP1_978353019 * T3s); + O[WS(os, 61)] = FNMS(KP1_978353019, T3r, KP293460948 * T3s); + } + { + E T3j, T3k, T3n, T3q; + T3j = T33 - T3a; + T3k = T3h + T3e; + O[WS(os, 21)] = FMA(KP1_028205488, T3j, KP1_715457220 * T3k); + O[WS(os, 53)] = FNMS(KP1_715457220, T3j, KP1_028205488 * T3k); + T3n = T3l + T3m; + T3q = T3o - T3p; + O[WS(os, 13)] = FMA(KP1_606415062, T3n, KP1_191398608 * T3q); + O[WS(os, 45)] = FNMS(KP1_191398608, T3n, KP1_606415062 * T3q); + } + } + { + E T4h, T4z, T4v, T4A, T4o, T4D, T4s, T4C; + { + E T4f, T4g, T4t, T4u; + T4f = T3t + T3u; + T4g = T3X + T3Y; + T4h = T4f - T4g; + T4z = T4f + T4g; + T4t = FMA(KP980785280, T4i, KP195090322 * T4j); + T4u = FMA(KP980785280, T4l, KP195090322 * T4m); + T4v = T4t - T4u; + T4A = T4t + T4u; + } + { + E T4k, T4n, T4q, T4r; + T4k = FNMS(KP980785280, T4j, KP195090322 * T4i); + T4n = FNMS(KP980785280, T4m, KP195090322 * T4l); + T4o = T4k + T4n; + T4D = T4k - T4n; + T4q = T3V + T3U; + T4r = T3y - T3B; + T4s = T4q - T4r; + T4C = T4r + T4q; + } + { + E T4p, T4w, T4F, T4G; + T4p = T4h + T4o; + T4w = T4s - T4v; + O[WS(os, 7)] = FMA(KP1_883088130, T4p, KP673779706 * T4w); + O[WS(os, 39)] = FNMS(KP673779706, T4p, KP1_883088130 * T4w); + T4F = T4z + T4A; + T4G = T4D + T4C; + O[WS(os, 31)] = FMA(KP098135348, T4F, KP1_997590912 * T4G); + O[WS(os, 63)] = FNMS(KP1_997590912, T4F, KP098135348 * T4G); + } + { + E T4x, T4y, T4B, T4E; + T4x = T4h - T4o; + T4y = T4v + T4s; + O[WS(os, 23)] = FMA(KP855110186, T4x, KP1_807978586 * T4y); + O[WS(os, 55)] = FNMS(KP1_807978586, T4x, KP855110186 * T4y); + T4B = T4z - T4A; + T4E = T4C - T4D; + O[WS(os, 15)] = FMA(KP1_481902250, T4B, KP1_343117909 * T4E); + O[WS(os, 47)] = FNMS(KP1_343117909, T4B, KP1_481902250 * T4E); + } + } + { + E T1F, T2T, T2P, T2W, T2y, T2X, T2C, T2U; + { + E T1h, T1E, T2F, T2O; + T1h = T15 + T1g; + T1E = T1s + T1D; + T1F = T1h + T1E; + T2T = T1h - T1E; + T2F = T2D + T2E; + T2O = T2I + T2N; + T2P = T2F + T2O; + T2W = T2F - T2O; + } + { + E T26, T2x, T2A, T2B; + T26 = FNMS(KP195090322, T25, KP980785280 * T1W); + T2x = FMA(KP980785280, T2n, KP195090322 * T2w); + T2y = T26 + T2x; + T2X = T26 - T2x; + T2A = FMA(KP195090322, T1W, KP980785280 * T25); + T2B = FNMS(KP195090322, T2n, KP980785280 * T2w); + T2C = T2A + T2B; + T2U = T2B - T2A; + } + { + E T2z, T2Q, T2Z, T30; + T2z = T1F + T2y; + T2Q = T2C + T2P; + O[WS(os, 1)] = FNMS(KP098135348, T2Q, KP1_997590912 * T2z); + O[WS(os, 33)] = -(FMA(KP098135348, T2z, KP1_997590912 * T2Q)); + T2Z = T2T - T2U; + T30 = T2X + T2W; + O[WS(os, 25)] = FMA(KP673779706, T2Z, KP1_883088130 * T30); + O[WS(os, 57)] = FNMS(KP1_883088130, T2Z, KP673779706 * T30); + } + { + E T2R, T2S, T2V, T2Y; + T2R = T1F - T2y; + T2S = T2C - T2P; + O[WS(os, 17)] = FMA(KP1_343117909, T2R, KP1_481902250 * T2S); + O[WS(os, 49)] = FNMS(KP1_481902250, T2R, KP1_343117909 * T2S); + T2V = T2T + T2U; + T2Y = T2W - T2X; + O[WS(os, 9)] = FMA(KP1_807978586, T2V, KP855110186 * T2Y); + O[WS(os, 41)] = FNMS(KP855110186, T2V, KP1_807978586 * T2Y); + } + } + { + E T3D, T47, T43, T48, T3S, T4b, T40, T4a; + { + E T3v, T3C, T41, T42; + T3v = T3t - T3u; + T3C = T3y + T3B; + T3D = T3v + T3C; + T47 = T3v - T3C; + T41 = FMA(KP555570233, T3G, KP831469612 * T3J); + T42 = FNMS(KP555570233, T3N, KP831469612 * T3Q); + T43 = T41 + T42; + T48 = T42 - T41; + } + { + E T3K, T3R, T3W, T3Z; + T3K = FNMS(KP555570233, T3J, KP831469612 * T3G); + T3R = FMA(KP831469612, T3N, KP555570233 * T3Q); + T3S = T3K + T3R; + T4b = T3K - T3R; + T3W = T3U - T3V; + T3Z = T3X - T3Y; + T40 = T3W - T3Z; + T4a = T3Z + T3W; + } + { + E T3T, T44, T4d, T4e; + T3T = T3D + T3S; + T44 = T40 - T43; + O[WS(os, 3)] = FMA(KP1_978353019, T3T, KP293460948 * T44); + O[WS(os, 35)] = FNMS(KP293460948, T3T, KP1_978353019 * T44); + T4d = T47 - T48; + T4e = T4b + T4a; + O[WS(os, 27)] = FMA(KP485960359, T4d, KP1_940062506 * T4e); + O[WS(os, 59)] = FNMS(KP1_940062506, T4d, KP485960359 * T4e); + } + { + E T45, T46, T49, T4c; + T45 = T3D - T3S; + T46 = T43 + T40; + O[WS(os, 19)] = FMA(KP1_191398608, T45, KP1_606415062 * T46); + O[WS(os, 51)] = FNMS(KP1_606415062, T45, KP1_191398608 * T46); + T49 = T47 + T48; + T4c = T4a - T4b; + O[WS(os, 11)] = FMA(KP1_715457220, T49, KP1_028205488 * T4c); + O[WS(os, 43)] = FNMS(KP1_028205488, T49, KP1_715457220 * T4c); + } + } + } +} + +static void mhc2rIII_64(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mhc2rIII_64_0(ri, ii, O, ris, iis, os); + ri += ivs; + ii += ivs; + O += ovs; + } +} + +static const khc2r_desc desc = { 64, "mhc2rIII_64", {342, 116, 92, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mhc2rIII_64) (planner *p) { + X(khc2rIII_register) (p, mhc2rIII_64, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/mhc2r_128.c b/src/fftw3/rdft/codelets/hc2r/mhc2r_128.c new file mode 100644 index 0000000..27209a3 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/mhc2r_128.c @@ -0,0 +1,1652 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:20 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r_noinline -compact -variables 4 -sign 1 -n 128 -name mhc2r_128 -include hc2r.h */ + +/* + * This function contains 956 FP additions, 342 FP multiplications, + * (or, 812 additions, 198 multiplications, 144 fused multiply/add), + * 197 stack variables, and 256 memory accesses + */ +/* + * Generator Id's : + * $Id: mhc2r_128.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2r_128.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2r_128.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void mhc2r_128_0(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os) +{ + DK(KP1_028205488, +1.028205488386443453187387677937631545216098241); + DK(KP1_715457220, +1.715457220000544139804539968569540274084981599); + DK(KP1_606415062, +1.606415062961289819613353025926283847759138854); + DK(KP1_191398608, +1.191398608984866686934073057659939779023852677); + DK(KP1_940062506, +1.940062506389087985207968414572200502913731924); + DK(KP485960359, +0.485960359806527779896548324154942236641981567); + DK(KP293460948, +0.293460948910723503317700259293435639412430633); + DK(KP1_978353019, +1.978353019929561946903347476032486127967379067); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP855110186, +0.855110186860564188641933713777597068609157259); + DK(KP1_807978586, +1.807978586246886663172400594461074097420264050); + DK(KP1_481902250, +1.481902250709918182351233794990325459457910619); + DK(KP1_343117909, +1.343117909694036801250753700854843606457501264); + DK(KP1_883088130, +1.883088130366041556825018805199004714371179592); + DK(KP673779706, +0.673779706784440101378506425238295140955533559); + DK(KP098135348, +0.098135348654836028509909953885365316629490726); + DK(KP1_997590912, +1.997590912410344785429543209518201388886407229); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP580569354, +0.580569354508924735272384751634790549382952557); + DK(KP1_913880671, +1.913880671464417729871595773960539938965698411); + DK(KP942793473, +0.942793473651995297112775251810508755314920638); + DK(KP1_763842528, +1.763842528696710059425513727320776699016885241); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP1_268786568, +1.268786568327290996430343226450986741351374190); + DK(KP1_546020906, +1.546020906725473921621813219516939601942082586); + DK(KP196034280, +0.196034280659121203988391127777283691722273346); + DK(KP1_990369453, +1.990369453344393772489673906218959843150949737); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + { + E Ta, T6q, T2a, T5k, T8x, Tbx, TcF, Ten, Th, T6r, T2j, T5l, T8E, Tby, TcI; + E Teo, Tx, T6t, TcM, Teq, TcP, Ter, T2t, T5n, T2C, T5o, T8Q, TbA, T8X, TbB; + E T6w, T7L, T1j, T6L, Tde, TeC, TdL, TeR, T3v, T5z, T4I, T5O, T9O, TbM, TaV; + E Tc1, T78, T7Z, TN, T6z, TcU, Teu, Td8, Tey, T2N, T5r, T3j, T5v, T9a, TbE; + E T9A, TbI, T6H, T7O, T1O, T7V, T48, T4u, Tds, TeG, T5E, T5K, Taf, TbP, Tdp; + E TeF, T6U, T72, Tam, TbQ, T23, T7U, T4r, T4v, Tdz, TeJ, T5H, T5L, Tay, TbS; + E Tdw, TeI, T6Z, T73, TaF, TbT, T1y, T75, Tdl, TeQ, TdI, TeD, T3O, T5N, T4z; + E T5A, Ta3, Tc0, TaO, TbN, T6O, T80, T12, T6E, Td1, Tex, Td5, Tev, T36, T5u; + E T3a, T5s, T9p, TbH, T9t, TbF, T6C, T7P; + { + E T5, T8s, T3, T8q, T9, T8u, T29, T8v, T6, T26; + { + E T4, T8r, T1, T2; + T4 = ri[WS(ris, 32)]; + T5 = KP2_000000000 * T4; + T8r = ii[WS(iis, 32)]; + T8s = KP2_000000000 * T8r; + T1 = ri[0]; + T2 = ri[WS(ris, 64)]; + T3 = T1 + T2; + T8q = T1 - T2; + { + E T7, T8, T27, T28; + T7 = ri[WS(ris, 16)]; + T8 = ri[WS(ris, 48)]; + T9 = KP2_000000000 * (T7 + T8); + T8u = T7 - T8; + T27 = ii[WS(iis, 16)]; + T28 = ii[WS(iis, 48)]; + T29 = KP2_000000000 * (T27 - T28); + T8v = T27 + T28; + } + } + T6 = T3 + T5; + Ta = T6 + T9; + T6q = T6 - T9; + T26 = T3 - T5; + T2a = T26 - T29; + T5k = T26 + T29; + { + E T8t, T8w, TcD, TcE; + T8t = T8q - T8s; + T8w = KP1_414213562 * (T8u - T8v); + T8x = T8t + T8w; + Tbx = T8t - T8w; + TcD = T8q + T8s; + TcE = KP1_414213562 * (T8u + T8v); + TcF = TcD - TcE; + Ten = TcD + TcE; + } + } + { + E Td, T8y, T2e, T8C, Tg, T8B, T2h, T8z, T2b, T2i; + { + E Tb, Tc, T2c, T2d; + Tb = ri[WS(ris, 8)]; + Tc = ri[WS(ris, 56)]; + Td = Tb + Tc; + T8y = Tb - Tc; + T2c = ii[WS(iis, 8)]; + T2d = ii[WS(iis, 56)]; + T2e = T2c - T2d; + T8C = T2c + T2d; + } + { + E Te, Tf, T2f, T2g; + Te = ri[WS(ris, 40)]; + Tf = ri[WS(ris, 24)]; + Tg = Te + Tf; + T8B = Te - Tf; + T2f = ii[WS(iis, 40)]; + T2g = ii[WS(iis, 24)]; + T2h = T2f - T2g; + T8z = T2f + T2g; + } + Th = KP2_000000000 * (Td + Tg); + T6r = KP2_000000000 * (T2h + T2e); + T2b = Td - Tg; + T2i = T2e - T2h; + T2j = KP1_414213562 * (T2b - T2i); + T5l = KP1_414213562 * (T2b + T2i); + { + E T8A, T8D, TcG, TcH; + T8A = T8y - T8z; + T8D = T8B + T8C; + T8E = FNMS(KP765366864, T8D, KP1_847759065 * T8A); + Tby = FMA(KP765366864, T8A, KP1_847759065 * T8D); + TcG = T8y + T8z; + TcH = T8C - T8B; + TcI = FNMS(KP1_847759065, TcH, KP765366864 * TcG); + Teo = FMA(KP1_847759065, TcG, KP765366864 * TcH); + } + } + { + E Tl, T8G, T2x, T8V, To, T8U, T2A, T8H, Tv, T8S, T2o, T8O, Ts, T8R, T2r; + E T8L; + { + E Tj, Tk, T2y, T2z; + Tj = ri[WS(ris, 4)]; + Tk = ri[WS(ris, 60)]; + Tl = Tj + Tk; + T8G = Tj - Tk; + { + E T2v, T2w, Tm, Tn; + T2v = ii[WS(iis, 4)]; + T2w = ii[WS(iis, 60)]; + T2x = T2v - T2w; + T8V = T2v + T2w; + Tm = ri[WS(ris, 36)]; + Tn = ri[WS(ris, 28)]; + To = Tm + Tn; + T8U = Tm - Tn; + } + T2y = ii[WS(iis, 36)]; + T2z = ii[WS(iis, 28)]; + T2A = T2y - T2z; + T8H = T2y + T2z; + { + E Tt, Tu, T8M, T2m, T2n, T8N; + Tt = ri[WS(ris, 12)]; + Tu = ri[WS(ris, 52)]; + T8M = Tt - Tu; + T2m = ii[WS(iis, 52)]; + T2n = ii[WS(iis, 12)]; + T8N = T2n + T2m; + Tv = Tt + Tu; + T8S = T8M + T8N; + T2o = T2m - T2n; + T8O = T8M - T8N; + } + { + E Tq, Tr, T8J, T2p, T2q, T8K; + Tq = ri[WS(ris, 20)]; + Tr = ri[WS(ris, 44)]; + T8J = Tq - Tr; + T2p = ii[WS(iis, 20)]; + T2q = ii[WS(iis, 44)]; + T8K = T2p + T2q; + Ts = Tq + Tr; + T8R = T8J + T8K; + T2r = T2p - T2q; + T8L = T8J - T8K; + } + } + { + E Tp, Tw, TcK, TcL; + Tp = Tl + To; + Tw = Ts + Tv; + Tx = KP2_000000000 * (Tp + Tw); + T6t = Tp - Tw; + TcK = T8G + T8H; + TcL = KP707106781 * (T8R + T8S); + TcM = TcK - TcL; + Teq = TcK + TcL; + } + { + E TcN, TcO, T2l, T2s; + TcN = KP707106781 * (T8L - T8O); + TcO = T8V - T8U; + TcP = TcN + TcO; + Ter = TcO - TcN; + T2l = Tl - To; + T2s = T2o - T2r; + T2t = T2l + T2s; + T5n = T2l - T2s; + } + { + E T2u, T2B, T8I, T8P; + T2u = Ts - Tv; + T2B = T2x - T2A; + T2C = T2u + T2B; + T5o = T2B - T2u; + T8I = T8G - T8H; + T8P = KP707106781 * (T8L + T8O); + T8Q = T8I + T8P; + TbA = T8I - T8P; + } + { + E T8T, T8W, T6u, T6v; + T8T = KP707106781 * (T8R - T8S); + T8W = T8U + T8V; + T8X = T8T + T8W; + TbB = T8W - T8T; + T6u = T2A + T2x; + T6v = T2r + T2o; + T6w = T6u - T6v; + T7L = KP2_000000000 * (T6v + T6u); + } + } + { + E T17, T9E, T4D, TaT, T1a, TaS, T4G, T9F, T1h, TaQ, T3q, T9M, T1e, TaP, T3t; + E T9J; + { + E T15, T16, T4E, T4F; + T15 = ri[WS(ris, 1)]; + T16 = ri[WS(ris, 63)]; + T17 = T15 + T16; + T9E = T15 - T16; + { + E T4B, T4C, T18, T19; + T4B = ii[WS(iis, 1)]; + T4C = ii[WS(iis, 63)]; + T4D = T4B - T4C; + TaT = T4B + T4C; + T18 = ri[WS(ris, 33)]; + T19 = ri[WS(ris, 31)]; + T1a = T18 + T19; + TaS = T18 - T19; + } + T4E = ii[WS(iis, 33)]; + T4F = ii[WS(iis, 31)]; + T4G = T4E - T4F; + T9F = T4E + T4F; + { + E T1f, T1g, T9K, T3o, T3p, T9L; + T1f = ri[WS(ris, 15)]; + T1g = ri[WS(ris, 49)]; + T9K = T1f - T1g; + T3o = ii[WS(iis, 49)]; + T3p = ii[WS(iis, 15)]; + T9L = T3p + T3o; + T1h = T1f + T1g; + TaQ = T9K + T9L; + T3q = T3o - T3p; + T9M = T9K - T9L; + } + { + E T1c, T1d, T9H, T3r, T3s, T9I; + T1c = ri[WS(ris, 17)]; + T1d = ri[WS(ris, 47)]; + T9H = T1c - T1d; + T3r = ii[WS(iis, 17)]; + T3s = ii[WS(iis, 47)]; + T9I = T3r + T3s; + T1e = T1c + T1d; + TaP = T9H + T9I; + T3t = T3r - T3s; + T9J = T9H - T9I; + } + } + { + E T1b, T1i, Tdc, Tdd; + T1b = T17 + T1a; + T1i = T1e + T1h; + T1j = T1b + T1i; + T6L = T1b - T1i; + Tdc = T9E + T9F; + Tdd = KP707106781 * (TaP + TaQ); + Tde = Tdc - Tdd; + TeC = Tdc + Tdd; + } + { + E TdJ, TdK, T3n, T3u; + TdJ = KP707106781 * (T9J - T9M); + TdK = TaT - TaS; + TdL = TdJ + TdK; + TeR = TdK - TdJ; + T3n = T17 - T1a; + T3u = T3q - T3t; + T3v = T3n + T3u; + T5z = T3n - T3u; + } + { + E T4A, T4H, T9G, T9N; + T4A = T1e - T1h; + T4H = T4D - T4G; + T4I = T4A + T4H; + T5O = T4H - T4A; + T9G = T9E - T9F; + T9N = KP707106781 * (T9J + T9M); + T9O = T9G + T9N; + TbM = T9G - T9N; + } + { + E TaR, TaU, T76, T77; + TaR = KP707106781 * (TaP - TaQ); + TaU = TaS + TaT; + TaV = TaR + TaU; + Tc1 = TaU - TaR; + T76 = T4G + T4D; + T77 = T3t + T3q; + T78 = T76 - T77; + T7Z = T77 + T76; + } + } + { + E TB, T90, T3e, T9y, TE, T9x, T3h, T91, TL, T9v, T2I, T98, TI, T9u, T2L; + E T95; + { + E Tz, TA, T3f, T3g; + Tz = ri[WS(ris, 2)]; + TA = ri[WS(ris, 62)]; + TB = Tz + TA; + T90 = Tz - TA; + { + E T3c, T3d, TC, TD; + T3c = ii[WS(iis, 2)]; + T3d = ii[WS(iis, 62)]; + T3e = T3c - T3d; + T9y = T3c + T3d; + TC = ri[WS(ris, 34)]; + TD = ri[WS(ris, 30)]; + TE = TC + TD; + T9x = TC - TD; + } + T3f = ii[WS(iis, 34)]; + T3g = ii[WS(iis, 30)]; + T3h = T3f - T3g; + T91 = T3f + T3g; + { + E TJ, TK, T96, T2G, T2H, T97; + TJ = ri[WS(ris, 14)]; + TK = ri[WS(ris, 50)]; + T96 = TJ - TK; + T2G = ii[WS(iis, 50)]; + T2H = ii[WS(iis, 14)]; + T97 = T2H + T2G; + TL = TJ + TK; + T9v = T96 + T97; + T2I = T2G - T2H; + T98 = T96 - T97; + } + { + E TG, TH, T93, T2J, T2K, T94; + TG = ri[WS(ris, 18)]; + TH = ri[WS(ris, 46)]; + T93 = TG - TH; + T2J = ii[WS(iis, 18)]; + T2K = ii[WS(iis, 46)]; + T94 = T2J + T2K; + TI = TG + TH; + T9u = T93 + T94; + T2L = T2J - T2K; + T95 = T93 - T94; + } + } + { + E TF, TM, TcS, TcT; + TF = TB + TE; + TM = TI + TL; + TN = TF + TM; + T6z = TF - TM; + TcS = T90 + T91; + TcT = KP707106781 * (T9u + T9v); + TcU = TcS - TcT; + Teu = TcS + TcT; + } + { + E Td6, Td7, T2F, T2M; + Td6 = KP707106781 * (T95 - T98); + Td7 = T9y - T9x; + Td8 = Td6 + Td7; + Tey = Td7 - Td6; + T2F = TB - TE; + T2M = T2I - T2L; + T2N = T2F + T2M; + T5r = T2F - T2M; + } + { + E T3b, T3i, T92, T99; + T3b = TI - TL; + T3i = T3e - T3h; + T3j = T3b + T3i; + T5v = T3i - T3b; + T92 = T90 - T91; + T99 = KP707106781 * (T95 + T98); + T9a = T92 + T99; + TbE = T92 - T99; + } + { + E T9w, T9z, T6F, T6G; + T9w = KP707106781 * (T9u - T9v); + T9z = T9x + T9y; + T9A = T9w + T9z; + TbI = T9z - T9w; + T6F = T3h + T3e; + T6G = T2L + T2I; + T6H = T6F - T6G; + T7O = T6G + T6F; + } + } + { + E T1G, Taj, T3Q, Ta5, T46, Tak, T6R, Ta6, T1N, Tag, Tah, T3X, T3Z, Taa, Tad; + E T6S, Tdn, Tdo; + { + E T1A, T1B, T1C, T1D, T1E, T1F; + T1A = ri[WS(ris, 5)]; + T1B = ri[WS(ris, 59)]; + T1C = T1A + T1B; + T1D = ri[WS(ris, 37)]; + T1E = ri[WS(ris, 27)]; + T1F = T1D + T1E; + T1G = T1C + T1F; + Taj = T1D - T1E; + T3Q = T1C - T1F; + Ta5 = T1A - T1B; + } + { + E T40, T41, T42, T43, T44, T45; + T40 = ii[WS(iis, 5)]; + T41 = ii[WS(iis, 59)]; + T42 = T40 - T41; + T43 = ii[WS(iis, 37)]; + T44 = ii[WS(iis, 27)]; + T45 = T43 - T44; + T46 = T42 - T45; + Tak = T40 + T41; + T6R = T45 + T42; + Ta6 = T43 + T44; + } + { + E T1J, Ta8, T3W, Ta9, T1M, Tab, T3T, Tac; + { + E T1H, T1I, T3U, T3V; + T1H = ri[WS(ris, 21)]; + T1I = ri[WS(ris, 43)]; + T1J = T1H + T1I; + Ta8 = T1H - T1I; + T3U = ii[WS(iis, 21)]; + T3V = ii[WS(iis, 43)]; + T3W = T3U - T3V; + Ta9 = T3U + T3V; + } + { + E T1K, T1L, T3R, T3S; + T1K = ri[WS(ris, 11)]; + T1L = ri[WS(ris, 53)]; + T1M = T1K + T1L; + Tab = T1K - T1L; + T3R = ii[WS(iis, 53)]; + T3S = ii[WS(iis, 11)]; + T3T = T3R - T3S; + Tac = T3S + T3R; + } + T1N = T1J + T1M; + Tag = Ta8 + Ta9; + Tah = Tab + Tac; + T3X = T3T - T3W; + T3Z = T1J - T1M; + Taa = Ta8 - Ta9; + Tad = Tab - Tac; + T6S = T3W + T3T; + } + T1O = T1G + T1N; + T7V = T6S + T6R; + { + E T3Y, T47, Tdq, Tdr; + T3Y = T3Q + T3X; + T47 = T3Z + T46; + T48 = FNMS(KP382683432, T47, KP923879532 * T3Y); + T4u = FMA(KP382683432, T3Y, KP923879532 * T47); + Tdq = KP707106781 * (Taa - Tad); + Tdr = Tak - Taj; + Tds = Tdq + Tdr; + TeG = Tdr - Tdq; + } + { + E T5C, T5D, Ta7, Tae; + T5C = T3Q - T3X; + T5D = T46 - T3Z; + T5E = FNMS(KP923879532, T5D, KP382683432 * T5C); + T5K = FMA(KP923879532, T5C, KP382683432 * T5D); + Ta7 = Ta5 - Ta6; + Tae = KP707106781 * (Taa + Tad); + Taf = Ta7 + Tae; + TbP = Ta7 - Tae; + } + Tdn = Ta5 + Ta6; + Tdo = KP707106781 * (Tag + Tah); + Tdp = Tdn - Tdo; + TeF = Tdn + Tdo; + { + E T6Q, T6T, Tai, Tal; + T6Q = T1G - T1N; + T6T = T6R - T6S; + T6U = T6Q - T6T; + T72 = T6Q + T6T; + Tai = KP707106781 * (Tag - Tah); + Tal = Taj + Tak; + Tam = Tai + Tal; + TbQ = Tal - Tai; + } + } + { + E T1V, TaC, T49, Tao, T4p, TaD, T6W, Tap, T22, Taz, TaA, T4g, T4i, Tat, Taw; + E T6X, Tdu, Tdv; + { + E T1P, T1Q, T1R, T1S, T1T, T1U; + T1P = ri[WS(ris, 3)]; + T1Q = ri[WS(ris, 61)]; + T1R = T1P + T1Q; + T1S = ri[WS(ris, 29)]; + T1T = ri[WS(ris, 35)]; + T1U = T1S + T1T; + T1V = T1R + T1U; + TaC = T1S - T1T; + T49 = T1R - T1U; + Tao = T1P - T1Q; + } + { + E T4j, T4k, T4l, T4m, T4n, T4o; + T4j = ii[WS(iis, 61)]; + T4k = ii[WS(iis, 3)]; + T4l = T4j - T4k; + T4m = ii[WS(iis, 29)]; + T4n = ii[WS(iis, 35)]; + T4o = T4m - T4n; + T4p = T4l - T4o; + TaD = T4k + T4j; + T6W = T4o + T4l; + Tap = T4m + T4n; + } + { + E T1Y, Tar, T4f, Tas, T21, Tau, T4c, Tav; + { + E T1W, T1X, T4d, T4e; + T1W = ri[WS(ris, 13)]; + T1X = ri[WS(ris, 51)]; + T1Y = T1W + T1X; + Tar = T1W - T1X; + T4d = ii[WS(iis, 13)]; + T4e = ii[WS(iis, 51)]; + T4f = T4d - T4e; + Tas = T4d + T4e; + } + { + E T1Z, T20, T4a, T4b; + T1Z = ri[WS(ris, 19)]; + T20 = ri[WS(ris, 45)]; + T21 = T1Z + T20; + Tau = T1Z - T20; + T4a = ii[WS(iis, 45)]; + T4b = ii[WS(iis, 19)]; + T4c = T4a - T4b; + Tav = T4b + T4a; + } + T22 = T1Y + T21; + Taz = Tar + Tas; + TaA = Tau + Tav; + T4g = T4c - T4f; + T4i = T1Y - T21; + Tat = Tar - Tas; + Taw = Tau - Tav; + T6X = T4f + T4c; + } + T23 = T1V + T22; + T7U = T6X + T6W; + { + E T4h, T4q, Tdx, Tdy; + T4h = T49 + T4g; + T4q = T4i + T4p; + T4r = FMA(KP923879532, T4h, KP382683432 * T4q); + T4v = FNMS(KP382683432, T4h, KP923879532 * T4q); + Tdx = KP707106781 * (Tat - Taw); + Tdy = TaC + TaD; + Tdz = Tdx - Tdy; + TeJ = Tdx + Tdy; + } + { + E T5F, T5G, Taq, Tax; + T5F = T49 - T4g; + T5G = T4p - T4i; + T5H = FMA(KP382683432, T5F, KP923879532 * T5G); + T5L = FNMS(KP923879532, T5F, KP382683432 * T5G); + Taq = Tao - Tap; + Tax = KP707106781 * (Tat + Taw); + Tay = Taq + Tax; + TbS = Taq - Tax; + } + Tdu = Tao + Tap; + Tdv = KP707106781 * (Taz + TaA); + Tdw = Tdu - Tdv; + TeI = Tdu + Tdv; + { + E T6V, T6Y, TaB, TaE; + T6V = T1V - T22; + T6Y = T6W - T6X; + T6Z = T6V + T6Y; + T73 = T6Y - T6V; + TaB = KP707106781 * (Taz - TaA); + TaE = TaC - TaD; + TaF = TaB + TaE; + TbT = TaE - TaB; + } + } + { + E T1m, T3z, T1p, T3C, T3w, T3D, Tdg, Tdf, T9U, T9R, T1t, T3I, T1w, T3L, T3F; + E T3M, Tdj, Tdi, Ta1, T9Y; + { + E T9P, T9T, T9S, T9Q; + { + E T1k, T1l, T3x, T3y; + T1k = ri[WS(ris, 9)]; + T1l = ri[WS(ris, 55)]; + T1m = T1k + T1l; + T9P = T1k - T1l; + T3x = ii[WS(iis, 9)]; + T3y = ii[WS(iis, 55)]; + T3z = T3x - T3y; + T9T = T3x + T3y; + } + { + E T1n, T1o, T3A, T3B; + T1n = ri[WS(ris, 41)]; + T1o = ri[WS(ris, 23)]; + T1p = T1n + T1o; + T9S = T1n - T1o; + T3A = ii[WS(iis, 41)]; + T3B = ii[WS(iis, 23)]; + T3C = T3A - T3B; + T9Q = T3A + T3B; + } + T3w = T1m - T1p; + T3D = T3z - T3C; + Tdg = T9T - T9S; + Tdf = T9P + T9Q; + T9U = T9S + T9T; + T9R = T9P - T9Q; + } + { + E T9W, Ta0, T9Z, T9X; + { + E T1r, T1s, T3G, T3H; + T1r = ri[WS(ris, 7)]; + T1s = ri[WS(ris, 57)]; + T1t = T1r + T1s; + T9W = T1r - T1s; + T3G = ii[WS(iis, 57)]; + T3H = ii[WS(iis, 7)]; + T3I = T3G - T3H; + Ta0 = T3H + T3G; + } + { + E T1u, T1v, T3J, T3K; + T1u = ri[WS(ris, 25)]; + T1v = ri[WS(ris, 39)]; + T1w = T1u + T1v; + T9Z = T1u - T1v; + T3J = ii[WS(iis, 25)]; + T3K = ii[WS(iis, 39)]; + T3L = T3J - T3K; + T9X = T3J + T3K; + } + T3F = T1t - T1w; + T3M = T3I - T3L; + Tdj = T9Z + Ta0; + Tdi = T9W + T9X; + Ta1 = T9Z - Ta0; + T9Y = T9W - T9X; + } + { + E T1q, T1x, Tdh, Tdk; + T1q = T1m + T1p; + T1x = T1t + T1w; + T1y = T1q + T1x; + T75 = T1q - T1x; + Tdh = FNMS(KP923879532, Tdg, KP382683432 * Tdf); + Tdk = FNMS(KP923879532, Tdj, KP382683432 * Tdi); + Tdl = Tdh + Tdk; + TeQ = Tdh - Tdk; + } + { + E TdG, TdH, T3E, T3N; + TdG = FMA(KP923879532, Tdf, KP382683432 * Tdg); + TdH = FMA(KP923879532, Tdi, KP382683432 * Tdj); + TdI = TdG - TdH; + TeD = TdG + TdH; + T3E = T3w - T3D; + T3N = T3F + T3M; + T3O = KP707106781 * (T3E + T3N); + T5N = KP707106781 * (T3E - T3N); + } + { + E T4x, T4y, T9V, Ta2; + T4x = T3w + T3D; + T4y = T3M - T3F; + T4z = KP707106781 * (T4x + T4y); + T5A = KP707106781 * (T4y - T4x); + T9V = FNMS(KP382683432, T9U, KP923879532 * T9R); + Ta2 = FMA(KP923879532, T9Y, KP382683432 * Ta1); + Ta3 = T9V + Ta2; + Tc0 = T9V - Ta2; + } + { + E TaM, TaN, T6M, T6N; + TaM = FMA(KP382683432, T9R, KP923879532 * T9U); + TaN = FNMS(KP382683432, T9Y, KP923879532 * Ta1); + TaO = TaM + TaN; + TbN = TaN - TaM; + T6M = T3L + T3I; + T6N = T3C + T3z; + T6O = T6M - T6N; + T80 = T6N + T6M; + } + } + { + E TQ, T2R, TT, T2U, T2O, T2V, TcW, TcV, T9g, T9d, TX, T30, T10, T33, T2X; + E T34, TcZ, TcY, T9n, T9k; + { + E T9b, T9f, T9e, T9c; + { + E TO, TP, T2P, T2Q; + TO = ri[WS(ris, 10)]; + TP = ri[WS(ris, 54)]; + TQ = TO + TP; + T9b = TO - TP; + T2P = ii[WS(iis, 10)]; + T2Q = ii[WS(iis, 54)]; + T2R = T2P - T2Q; + T9f = T2P + T2Q; + } + { + E TR, TS, T2S, T2T; + TR = ri[WS(ris, 42)]; + TS = ri[WS(ris, 22)]; + TT = TR + TS; + T9e = TR - TS; + T2S = ii[WS(iis, 42)]; + T2T = ii[WS(iis, 22)]; + T2U = T2S - T2T; + T9c = T2S + T2T; + } + T2O = TQ - TT; + T2V = T2R - T2U; + TcW = T9f - T9e; + TcV = T9b + T9c; + T9g = T9e + T9f; + T9d = T9b - T9c; + } + { + E T9i, T9m, T9l, T9j; + { + E TV, TW, T2Y, T2Z; + TV = ri[WS(ris, 6)]; + TW = ri[WS(ris, 58)]; + TX = TV + TW; + T9i = TV - TW; + T2Y = ii[WS(iis, 58)]; + T2Z = ii[WS(iis, 6)]; + T30 = T2Y - T2Z; + T9m = T2Z + T2Y; + } + { + E TY, TZ, T31, T32; + TY = ri[WS(ris, 26)]; + TZ = ri[WS(ris, 38)]; + T10 = TY + TZ; + T9l = TY - TZ; + T31 = ii[WS(iis, 26)]; + T32 = ii[WS(iis, 38)]; + T33 = T31 - T32; + T9j = T31 + T32; + } + T2X = TX - T10; + T34 = T30 - T33; + TcZ = T9l + T9m; + TcY = T9i + T9j; + T9n = T9l - T9m; + T9k = T9i - T9j; + } + { + E TU, T11, TcX, Td0; + TU = TQ + TT; + T11 = TX + T10; + T12 = TU + T11; + T6E = TU - T11; + TcX = FNMS(KP923879532, TcW, KP382683432 * TcV); + Td0 = FNMS(KP923879532, TcZ, KP382683432 * TcY); + Td1 = TcX + Td0; + Tex = TcX - Td0; + } + { + E Td3, Td4, T2W, T35; + Td3 = FMA(KP923879532, TcV, KP382683432 * TcW); + Td4 = FMA(KP923879532, TcY, KP382683432 * TcZ); + Td5 = Td3 - Td4; + Tev = Td3 + Td4; + T2W = T2O - T2V; + T35 = T2X + T34; + T36 = KP707106781 * (T2W + T35); + T5u = KP707106781 * (T2W - T35); + } + { + E T38, T39, T9h, T9o; + T38 = T2O + T2V; + T39 = T34 - T2X; + T3a = KP707106781 * (T38 + T39); + T5s = KP707106781 * (T39 - T38); + T9h = FNMS(KP382683432, T9g, KP923879532 * T9d); + T9o = FMA(KP923879532, T9k, KP382683432 * T9n); + T9p = T9h + T9o; + TbH = T9h - T9o; + } + { + E T9r, T9s, T6A, T6B; + T9r = FMA(KP382683432, T9d, KP923879532 * T9g); + T9s = FNMS(KP382683432, T9k, KP923879532 * T9n); + T9t = T9r + T9s; + TbF = T9s - T9r; + T6A = T33 + T30; + T6B = T2U + T2R; + T6C = T6A - T6B; + T7P = T6B + T6A; + } + } + { + E T13, T8f, Ty, T8e, T25, T8h, T8k, T8p, Ti, T14, T8o; + T13 = KP2_000000000 * (TN + T12); + T8f = KP2_000000000 * (T7P + T7O); + Ti = Ta + Th; + Ty = Ti + Tx; + T8e = Ti - Tx; + { + E T1z, T24, T8i, T8j; + T1z = T1j + T1y; + T24 = T1O + T23; + T25 = KP2_000000000 * (T1z + T24); + T8h = T1z - T24; + T8i = T80 + T7Z; + T8j = T7V + T7U; + T8k = T8i - T8j; + T8p = KP2_000000000 * (T8j + T8i); + } + T14 = Ty + T13; + O[WS(os, 64)] = T14 - T25; + O[0] = T14 + T25; + T8o = Ty - T13; + O[WS(os, 32)] = T8o - T8p; + O[WS(os, 96)] = T8o + T8p; + { + E T8g, T8l, T8m, T8n; + T8g = T8e - T8f; + T8l = KP1_414213562 * (T8h - T8k); + O[WS(os, 80)] = T8g - T8l; + O[WS(os, 16)] = T8g + T8l; + T8m = T8e + T8f; + T8n = KP1_414213562 * (T8h + T8k); + O[WS(os, 48)] = T8m - T8n; + O[WS(os, 112)] = T8m + T8n; + } + } + { + E T7M, T86, T82, T8a, T7R, T87, T7X, T89, T7K, T7Y, T81; + T7K = Ta - Th; + T7M = T7K - T7L; + T86 = T7K + T7L; + T7Y = T1O - T23; + T81 = T7Z - T80; + T82 = T7Y + T81; + T8a = T81 - T7Y; + { + E T7N, T7Q, T7T, T7W; + T7N = TN - T12; + T7Q = T7O - T7P; + T7R = KP1_414213562 * (T7N - T7Q); + T87 = KP1_414213562 * (T7N + T7Q); + T7T = T1j - T1y; + T7W = T7U - T7V; + T7X = T7T + T7W; + T89 = T7T - T7W; + } + { + E T7S, T83, T8c, T8d; + T7S = T7M + T7R; + T83 = FNMS(KP765366864, T82, KP1_847759065 * T7X); + O[WS(os, 72)] = T7S - T83; + O[WS(os, 8)] = T7S + T83; + T8c = T86 + T87; + T8d = FMA(KP1_847759065, T89, KP765366864 * T8a); + O[WS(os, 56)] = T8c - T8d; + O[WS(os, 120)] = T8c + T8d; + } + { + E T84, T85, T88, T8b; + T84 = T7M - T7R; + T85 = FMA(KP765366864, T7X, KP1_847759065 * T82); + O[WS(os, 40)] = T84 - T85; + O[WS(os, 104)] = T84 + T85; + T88 = T86 - T87; + T8b = FNMS(KP1_847759065, T8a, KP765366864 * T89); + O[WS(os, 88)] = T88 - T8b; + O[WS(os, 24)] = T88 + T8b; + } + } + { + E T2E, T4O, T4K, T4S, T3l, T4P, T4t, T4R; + { + E T2k, T2D, T4w, T4J; + T2k = T2a + T2j; + T2D = FNMS(KP765366864, T2C, KP1_847759065 * T2t); + T2E = T2k + T2D; + T4O = T2k - T2D; + T4w = T4u + T4v; + T4J = T4z + T4I; + T4K = T4w + T4J; + T4S = T4J - T4w; + } + { + E T37, T3k, T3P, T4s; + T37 = T2N + T36; + T3k = T3a + T3j; + T3l = FNMS(KP390180644, T3k, KP1_961570560 * T37); + T4P = FMA(KP390180644, T37, KP1_961570560 * T3k); + T3P = T3v + T3O; + T4s = T48 + T4r; + T4t = T3P + T4s; + T4R = T3P - T4s; + } + { + E T3m, T4L, T4U, T4V; + T3m = T2E + T3l; + T4L = FNMS(KP196034280, T4K, KP1_990369453 * T4t); + O[WS(os, 66)] = T3m - T4L; + O[WS(os, 2)] = T3m + T4L; + T4U = T4O + T4P; + T4V = FMA(KP1_546020906, T4R, KP1_268786568 * T4S); + O[WS(os, 50)] = T4U - T4V; + O[WS(os, 114)] = T4U + T4V; + } + { + E T4M, T4N, T4Q, T4T; + T4M = T2E - T3l; + T4N = FMA(KP196034280, T4t, KP1_990369453 * T4K); + O[WS(os, 34)] = T4M - T4N; + O[WS(os, 98)] = T4M + T4N; + T4Q = T4O - T4P; + T4T = FNMS(KP1_546020906, T4S, KP1_268786568 * T4R); + O[WS(os, 82)] = T4Q - T4T; + O[WS(os, 18)] = T4Q + T4T; + } + } + { + E T6y, T7e, T7a, T7i, T6J, T7f, T71, T7h; + { + E T6s, T6x, T74, T79; + T6s = T6q - T6r; + T6x = KP1_414213562 * (T6t - T6w); + T6y = T6s + T6x; + T7e = T6s - T6x; + T74 = KP707106781 * (T72 + T73); + T79 = T75 + T78; + T7a = T74 + T79; + T7i = T79 - T74; + } + { + E T6D, T6I, T6P, T70; + T6D = T6z + T6C; + T6I = T6E + T6H; + T6J = FNMS(KP765366864, T6I, KP1_847759065 * T6D); + T7f = FMA(KP765366864, T6D, KP1_847759065 * T6I); + T6P = T6L + T6O; + T70 = KP707106781 * (T6U + T6Z); + T71 = T6P + T70; + T7h = T6P - T70; + } + { + E T6K, T7b, T7k, T7l; + T6K = T6y + T6J; + T7b = FNMS(KP390180644, T7a, KP1_961570560 * T71); + O[WS(os, 68)] = T6K - T7b; + O[WS(os, 4)] = T6K + T7b; + T7k = T7e + T7f; + T7l = FMA(KP1_662939224, T7h, KP1_111140466 * T7i); + O[WS(os, 52)] = T7k - T7l; + O[WS(os, 116)] = T7k + T7l; + } + { + E T7c, T7d, T7g, T7j; + T7c = T6y - T6J; + T7d = FMA(KP390180644, T71, KP1_961570560 * T7a); + O[WS(os, 36)] = T7c - T7d; + O[WS(os, 100)] = T7c + T7d; + T7g = T7e - T7f; + T7j = FNMS(KP1_662939224, T7i, KP1_111140466 * T7h); + O[WS(os, 84)] = T7g - T7j; + O[WS(os, 20)] = T7g + T7j; + } + } + { + E T4Y, T5c, T58, T5g, T51, T5d, T55, T5f; + { + E T4W, T4X, T56, T57; + T4W = T2a - T2j; + T4X = FMA(KP765366864, T2t, KP1_847759065 * T2C); + T4Y = T4W - T4X; + T5c = T4W + T4X; + T56 = T48 - T4r; + T57 = T4I - T4z; + T58 = T56 + T57; + T5g = T57 - T56; + } + { + E T4Z, T50, T53, T54; + T4Z = T2N - T36; + T50 = T3j - T3a; + T51 = FNMS(KP1_662939224, T50, KP1_111140466 * T4Z); + T5d = FMA(KP1_662939224, T4Z, KP1_111140466 * T50); + T53 = T3v - T3O; + T54 = T4v - T4u; + T55 = T53 + T54; + T5f = T53 - T54; + } + { + E T52, T59, T5i, T5j; + T52 = T4Y + T51; + T59 = FNMS(KP942793473, T58, KP1_763842528 * T55); + O[WS(os, 74)] = T52 - T59; + O[WS(os, 10)] = T52 + T59; + T5i = T5c + T5d; + T5j = FMA(KP1_913880671, T5f, KP580569354 * T5g); + O[WS(os, 58)] = T5i - T5j; + O[WS(os, 122)] = T5i + T5j; + } + { + E T5a, T5b, T5e, T5h; + T5a = T4Y - T51; + T5b = FMA(KP942793473, T55, KP1_763842528 * T58); + O[WS(os, 42)] = T5a - T5b; + O[WS(os, 106)] = T5a + T5b; + T5e = T5c - T5d; + T5h = FNMS(KP1_913880671, T5g, KP580569354 * T5f); + O[WS(os, 90)] = T5e - T5h; + O[WS(os, 26)] = T5e + T5h; + } + } + { + E T7o, T7C, T7y, T7G, T7r, T7D, T7v, T7F; + { + E T7m, T7n, T7w, T7x; + T7m = T6q + T6r; + T7n = KP1_414213562 * (T6t + T6w); + T7o = T7m - T7n; + T7C = T7m + T7n; + T7w = KP707106781 * (T6U - T6Z); + T7x = T78 - T75; + T7y = T7w + T7x; + T7G = T7x - T7w; + } + { + E T7p, T7q, T7t, T7u; + T7p = T6z - T6C; + T7q = T6H - T6E; + T7r = FNMS(KP1_847759065, T7q, KP765366864 * T7p); + T7D = FMA(KP1_847759065, T7p, KP765366864 * T7q); + T7t = T6L - T6O; + T7u = KP707106781 * (T73 - T72); + T7v = T7t + T7u; + T7F = T7t - T7u; + } + { + E T7s, T7z, T7I, T7J; + T7s = T7o + T7r; + T7z = FNMS(KP1_111140466, T7y, KP1_662939224 * T7v); + O[WS(os, 76)] = T7s - T7z; + O[WS(os, 12)] = T7s + T7z; + T7I = T7C + T7D; + T7J = FMA(KP1_961570560, T7F, KP390180644 * T7G); + O[WS(os, 60)] = T7I - T7J; + O[WS(os, 124)] = T7I + T7J; + } + { + E T7A, T7B, T7E, T7H; + T7A = T7o - T7r; + T7B = FMA(KP1_111140466, T7v, KP1_662939224 * T7y); + O[WS(os, 44)] = T7A - T7B; + O[WS(os, 108)] = T7A + T7B; + T7E = T7C - T7D; + T7H = FNMS(KP1_961570560, T7G, KP390180644 * T7F); + O[WS(os, 92)] = T7E - T7H; + O[WS(os, 28)] = T7E + T7H; + } + } + { + E T5q, T5U, T5Q, T5Y, T5x, T5V, T5J, T5X; + { + E T5m, T5p, T5M, T5P; + T5m = T5k - T5l; + T5p = FNMS(KP1_847759065, T5o, KP765366864 * T5n); + T5q = T5m + T5p; + T5U = T5m - T5p; + T5M = T5K + T5L; + T5P = T5N + T5O; + T5Q = T5M + T5P; + T5Y = T5P - T5M; + } + { + E T5t, T5w, T5B, T5I; + T5t = T5r + T5s; + T5w = T5u + T5v; + T5x = FNMS(KP1_111140466, T5w, KP1_662939224 * T5t); + T5V = FMA(KP1_111140466, T5t, KP1_662939224 * T5w); + T5B = T5z + T5A; + T5I = T5E + T5H; + T5J = T5B + T5I; + T5X = T5B - T5I; + } + { + E T5y, T5R, T60, T61; + T5y = T5q + T5x; + T5R = FNMS(KP580569354, T5Q, KP1_913880671 * T5J); + O[WS(os, 70)] = T5y - T5R; + O[WS(os, 6)] = T5y + T5R; + T60 = T5U + T5V; + T61 = FMA(KP1_763842528, T5X, KP942793473 * T5Y); + O[WS(os, 54)] = T60 - T61; + O[WS(os, 118)] = T60 + T61; + } + { + E T5S, T5T, T5W, T5Z; + T5S = T5q - T5x; + T5T = FMA(KP580569354, T5J, KP1_913880671 * T5Q); + O[WS(os, 38)] = T5S - T5T; + O[WS(os, 102)] = T5S + T5T; + T5W = T5U - T5V; + T5Z = FNMS(KP1_763842528, T5Y, KP942793473 * T5X); + O[WS(os, 86)] = T5W - T5Z; + O[WS(os, 22)] = T5W + T5Z; + } + } + { + E T64, T6i, T6e, T6m, T67, T6j, T6b, T6l; + { + E T62, T63, T6c, T6d; + T62 = T5k + T5l; + T63 = FMA(KP1_847759065, T5n, KP765366864 * T5o); + T64 = T62 - T63; + T6i = T62 + T63; + T6c = T5E - T5H; + T6d = T5O - T5N; + T6e = T6c + T6d; + T6m = T6d - T6c; + } + { + E T65, T66, T69, T6a; + T65 = T5r - T5s; + T66 = T5v - T5u; + T67 = FNMS(KP1_961570560, T66, KP390180644 * T65); + T6j = FMA(KP1_961570560, T65, KP390180644 * T66); + T69 = T5z - T5A; + T6a = T5L - T5K; + T6b = T69 + T6a; + T6l = T69 - T6a; + } + { + E T68, T6f, T6o, T6p; + T68 = T64 + T67; + T6f = FNMS(KP1_268786568, T6e, KP1_546020906 * T6b); + O[WS(os, 78)] = T68 - T6f; + O[WS(os, 14)] = T68 + T6f; + T6o = T6i + T6j; + T6p = FMA(KP1_990369453, T6l, KP196034280 * T6m); + O[WS(os, 62)] = T6o - T6p; + O[WS(os, 126)] = T6o + T6p; + } + { + E T6g, T6h, T6k, T6n; + T6g = T64 - T67; + T6h = FMA(KP1_268786568, T6b, KP1_546020906 * T6e); + O[WS(os, 46)] = T6g - T6h; + O[WS(os, 110)] = T6g + T6h; + T6k = T6i - T6j; + T6n = FNMS(KP1_990369453, T6m, KP196034280 * T6l); + O[WS(os, 94)] = T6k - T6n; + O[WS(os, 30)] = T6k + T6n; + } + } + { + E T8Z, Tb1, T9C, Tb2, Tbe, Tbq, Tbb, Tbp, TaX, Tbs, Tb5, Tbi, TaI, Tbt, Tb4; + E Tbl; + { + E T8F, T8Y, Tb9, Tba; + T8F = T8x + T8E; + T8Y = FNMS(KP390180644, T8X, KP1_961570560 * T8Q); + T8Z = T8F + T8Y; + Tb1 = T8F - T8Y; + { + E T9q, T9B, Tbc, Tbd; + T9q = T9a + T9p; + T9B = T9t + T9A; + T9C = FNMS(KP196034280, T9B, KP1_990369453 * T9q); + Tb2 = FMA(KP196034280, T9q, KP1_990369453 * T9B); + Tbc = T9a - T9p; + Tbd = T9A - T9t; + Tbe = FNMS(KP1_546020906, Tbd, KP1_268786568 * Tbc); + Tbq = FMA(KP1_546020906, Tbc, KP1_268786568 * Tbd); + } + Tb9 = T8x - T8E; + Tba = FMA(KP390180644, T8Q, KP1_961570560 * T8X); + Tbb = Tb9 - Tba; + Tbp = Tb9 + Tba; + { + E TaW, Tbg, TaL, Tbh, TaJ, TaK; + TaW = TaO + TaV; + Tbg = T9O - Ta3; + TaJ = FMA(KP195090322, Taf, KP980785280 * Tam); + TaK = FNMS(KP195090322, Tay, KP980785280 * TaF); + TaL = TaJ + TaK; + Tbh = TaK - TaJ; + TaX = TaL + TaW; + Tbs = Tbg - Tbh; + Tb5 = TaW - TaL; + Tbi = Tbg + Tbh; + } + { + E Ta4, Tbk, TaH, Tbj, Tan, TaG; + Ta4 = T9O + Ta3; + Tbk = TaV - TaO; + Tan = FNMS(KP195090322, Tam, KP980785280 * Taf); + TaG = FMA(KP980785280, Tay, KP195090322 * TaF); + TaH = Tan + TaG; + Tbj = Tan - TaG; + TaI = Ta4 + TaH; + Tbt = Tbk - Tbj; + Tb4 = Ta4 - TaH; + Tbl = Tbj + Tbk; + } + } + { + E T9D, TaY, Tbr, Tbu; + T9D = T8Z + T9C; + TaY = FNMS(KP098135348, TaX, KP1_997590912 * TaI); + O[WS(os, 65)] = T9D - TaY; + O[WS(os, 1)] = T9D + TaY; + Tbr = Tbp - Tbq; + Tbu = FNMS(KP1_883088130, Tbt, KP673779706 * Tbs); + O[WS(os, 89)] = Tbr - Tbu; + O[WS(os, 25)] = Tbr + Tbu; + } + { + E Tbv, Tbw, TaZ, Tb0; + Tbv = Tbp + Tbq; + Tbw = FMA(KP1_883088130, Tbs, KP673779706 * Tbt); + O[WS(os, 57)] = Tbv - Tbw; + O[WS(os, 121)] = Tbv + Tbw; + TaZ = T8Z - T9C; + Tb0 = FMA(KP098135348, TaI, KP1_997590912 * TaX); + O[WS(os, 33)] = TaZ - Tb0; + O[WS(os, 97)] = TaZ + Tb0; + } + { + E Tb3, Tb6, Tbf, Tbm; + Tb3 = Tb1 - Tb2; + Tb6 = FNMS(KP1_481902250, Tb5, KP1_343117909 * Tb4); + O[WS(os, 81)] = Tb3 - Tb6; + O[WS(os, 17)] = Tb3 + Tb6; + Tbf = Tbb + Tbe; + Tbm = FNMS(KP855110186, Tbl, KP1_807978586 * Tbi); + O[WS(os, 73)] = Tbf - Tbm; + O[WS(os, 9)] = Tbf + Tbm; + } + { + E Tbn, Tbo, Tb7, Tb8; + Tbn = Tbb - Tbe; + Tbo = FMA(KP855110186, Tbi, KP1_807978586 * Tbl); + O[WS(os, 41)] = Tbn - Tbo; + O[WS(os, 105)] = Tbn + Tbo; + Tb7 = Tb1 + Tb2; + Tb8 = FMA(KP1_481902250, Tb4, KP1_343117909 * Tb5); + O[WS(os, 49)] = Tb7 - Tb8; + O[WS(os, 113)] = Tb7 + Tb8; + } + } + { + E TcR, TdR, Tda, TdS, Te4, Teg, Te1, Tef, TdN, Tei, TdV, Te8, TdC, Tej, TdU; + E Teb; + { + E TcJ, TcQ, TdZ, Te0; + TcJ = TcF + TcI; + TcQ = FNMS(KP1_111140466, TcP, KP1_662939224 * TcM); + TcR = TcJ + TcQ; + TdR = TcJ - TcQ; + { + E Td2, Td9, Te2, Te3; + Td2 = TcU + Td1; + Td9 = Td5 + Td8; + Tda = FNMS(KP580569354, Td9, KP1_913880671 * Td2); + TdS = FMA(KP580569354, Td2, KP1_913880671 * Td9); + Te2 = TcU - Td1; + Te3 = Td8 - Td5; + Te4 = FNMS(KP1_763842528, Te3, KP942793473 * Te2); + Teg = FMA(KP1_763842528, Te2, KP942793473 * Te3); + } + TdZ = TcF - TcI; + Te0 = FMA(KP1_111140466, TcM, KP1_662939224 * TcP); + Te1 = TdZ - Te0; + Tef = TdZ + Te0; + { + E TdM, Te6, TdF, Te7, TdD, TdE; + TdM = TdI + TdL; + Te6 = Tde - Tdl; + TdD = FMA(KP555570233, Tdp, KP831469612 * Tds); + TdE = FNMS(KP555570233, Tdw, KP831469612 * Tdz); + TdF = TdD + TdE; + Te7 = TdE - TdD; + TdN = TdF + TdM; + Tei = Te6 - Te7; + TdV = TdM - TdF; + Te8 = Te6 + Te7; + } + { + E Tdm, Tea, TdB, Te9, Tdt, TdA; + Tdm = Tde + Tdl; + Tea = TdL - TdI; + Tdt = FNMS(KP555570233, Tds, KP831469612 * Tdp); + TdA = FMA(KP831469612, Tdw, KP555570233 * Tdz); + TdB = Tdt + TdA; + Te9 = Tdt - TdA; + TdC = Tdm + TdB; + Tej = Tea - Te9; + TdU = Tdm - TdB; + Teb = Te9 + Tea; + } + } + { + E Tdb, TdO, Teh, Tek; + Tdb = TcR + Tda; + TdO = FNMS(KP293460948, TdN, KP1_978353019 * TdC); + O[WS(os, 67)] = Tdb - TdO; + O[WS(os, 3)] = Tdb + TdO; + Teh = Tef - Teg; + Tek = FNMS(KP1_940062506, Tej, KP485960359 * Tei); + O[WS(os, 91)] = Teh - Tek; + O[WS(os, 27)] = Teh + Tek; + } + { + E Tel, Tem, TdP, TdQ; + Tel = Tef + Teg; + Tem = FMA(KP1_940062506, Tei, KP485960359 * Tej); + O[WS(os, 59)] = Tel - Tem; + O[WS(os, 123)] = Tel + Tem; + TdP = TcR - Tda; + TdQ = FMA(KP293460948, TdC, KP1_978353019 * TdN); + O[WS(os, 35)] = TdP - TdQ; + O[WS(os, 99)] = TdP + TdQ; + } + { + E TdT, TdW, Te5, Tec; + TdT = TdR - TdS; + TdW = FNMS(KP1_606415062, TdV, KP1_191398608 * TdU); + O[WS(os, 83)] = TdT - TdW; + O[WS(os, 19)] = TdT + TdW; + Te5 = Te1 + Te4; + Tec = FNMS(KP1_028205488, Teb, KP1_715457220 * Te8); + O[WS(os, 75)] = Te5 - Tec; + O[WS(os, 11)] = Te5 + Tec; + } + { + E Ted, Tee, TdX, TdY; + Ted = Te1 - Te4; + Tee = FMA(KP1_028205488, Te8, KP1_715457220 * Teb); + O[WS(os, 43)] = Ted - Tee; + O[WS(os, 107)] = Ted + Tee; + TdX = TdR + TdS; + TdY = FMA(KP1_606415062, TdU, KP1_191398608 * TdV); + O[WS(os, 51)] = TdX - TdY; + O[WS(os, 115)] = TdX + TdY; + } + } + { + E TbD, Tc7, TbK, Tc8, Tck, Tcw, Tch, Tcv, Tc3, Tcy, Tcb, Tco, TbW, Tcz, Tca; + E Tcr; + { + E Tbz, TbC, Tcf, Tcg; + Tbz = Tbx - Tby; + TbC = FNMS(KP1_662939224, TbB, KP1_111140466 * TbA); + TbD = Tbz + TbC; + Tc7 = Tbz - TbC; + { + E TbG, TbJ, Tci, Tcj; + TbG = TbE + TbF; + TbJ = TbH + TbI; + TbK = FNMS(KP942793473, TbJ, KP1_763842528 * TbG); + Tc8 = FMA(KP942793473, TbG, KP1_763842528 * TbJ); + Tci = TbE - TbF; + Tcj = TbI - TbH; + Tck = FNMS(KP1_913880671, Tcj, KP580569354 * Tci); + Tcw = FMA(KP1_913880671, Tci, KP580569354 * Tcj); + } + Tcf = Tbx + Tby; + Tcg = FMA(KP1_662939224, TbA, KP1_111140466 * TbB); + Tch = Tcf - Tcg; + Tcv = Tcf + Tcg; + { + E Tc2, Tcm, TbZ, Tcn, TbX, TbY; + Tc2 = Tc0 + Tc1; + Tcm = TbM - TbN; + TbX = FMA(KP831469612, TbP, KP555570233 * TbQ); + TbY = FNMS(KP831469612, TbS, KP555570233 * TbT); + TbZ = TbX + TbY; + Tcn = TbY - TbX; + Tc3 = TbZ + Tc2; + Tcy = Tcm - Tcn; + Tcb = Tc2 - TbZ; + Tco = Tcm + Tcn; + } + { + E TbO, Tcq, TbV, Tcp, TbR, TbU; + TbO = TbM + TbN; + Tcq = Tc1 - Tc0; + TbR = FNMS(KP831469612, TbQ, KP555570233 * TbP); + TbU = FMA(KP555570233, TbS, KP831469612 * TbT); + TbV = TbR + TbU; + Tcp = TbR - TbU; + TbW = TbO + TbV; + Tcz = Tcq - Tcp; + Tca = TbO - TbV; + Tcr = Tcp + Tcq; + } + } + { + E TbL, Tc4, Tcx, TcA; + TbL = TbD + TbK; + Tc4 = FNMS(KP485960359, Tc3, KP1_940062506 * TbW); + O[WS(os, 69)] = TbL - Tc4; + O[WS(os, 5)] = TbL + Tc4; + Tcx = Tcv - Tcw; + TcA = FNMS(KP1_978353019, Tcz, KP293460948 * Tcy); + O[WS(os, 93)] = Tcx - TcA; + O[WS(os, 29)] = Tcx + TcA; + } + { + E TcB, TcC, Tc5, Tc6; + TcB = Tcv + Tcw; + TcC = FMA(KP1_978353019, Tcy, KP293460948 * Tcz); + O[WS(os, 61)] = TcB - TcC; + O[WS(os, 125)] = TcB + TcC; + Tc5 = TbD - TbK; + Tc6 = FMA(KP485960359, TbW, KP1_940062506 * Tc3); + O[WS(os, 37)] = Tc5 - Tc6; + O[WS(os, 101)] = Tc5 + Tc6; + } + { + E Tc9, Tcc, Tcl, Tcs; + Tc9 = Tc7 - Tc8; + Tcc = FNMS(KP1_715457220, Tcb, KP1_028205488 * Tca); + O[WS(os, 85)] = Tc9 - Tcc; + O[WS(os, 21)] = Tc9 + Tcc; + Tcl = Tch + Tck; + Tcs = FNMS(KP1_191398608, Tcr, KP1_606415062 * Tco); + O[WS(os, 77)] = Tcl - Tcs; + O[WS(os, 13)] = Tcl + Tcs; + } + { + E Tct, Tcu, Tcd, Tce; + Tct = Tch - Tck; + Tcu = FMA(KP1_191398608, Tco, KP1_606415062 * Tcr); + O[WS(os, 45)] = Tct - Tcu; + O[WS(os, 109)] = Tct + Tcu; + Tcd = Tc7 + Tc8; + Tce = FMA(KP1_715457220, Tca, KP1_028205488 * Tcb); + O[WS(os, 53)] = Tcd - Tce; + O[WS(os, 117)] = Tcd + Tce; + } + } + { + E Tet, TeX, TeA, TeY, Tfa, Tfm, Tf7, Tfl, TeT, Tfo, Tf1, Tfe, TeM, Tfp, Tf0; + E Tfh; + { + E Tep, Tes, Tf5, Tf6; + Tep = Ten - Teo; + Tes = FNMS(KP1_961570560, Ter, KP390180644 * Teq); + Tet = Tep + Tes; + TeX = Tep - Tes; + { + E Tew, Tez, Tf8, Tf9; + Tew = Teu - Tev; + Tez = Tex + Tey; + TeA = FNMS(KP1_268786568, Tez, KP1_546020906 * Tew); + TeY = FMA(KP1_268786568, Tew, KP1_546020906 * Tez); + Tf8 = Teu + Tev; + Tf9 = Tey - Tex; + Tfa = FNMS(KP1_990369453, Tf9, KP196034280 * Tf8); + Tfm = FMA(KP1_990369453, Tf8, KP196034280 * Tf9); + } + Tf5 = Ten + Teo; + Tf6 = FMA(KP1_961570560, Teq, KP390180644 * Ter); + Tf7 = Tf5 - Tf6; + Tfl = Tf5 + Tf6; + { + E TeS, Tfc, TeP, Tfd, TeN, TeO; + TeS = TeQ + TeR; + Tfc = TeC + TeD; + TeN = FMA(KP980785280, TeF, KP195090322 * TeG); + TeO = FMA(KP980785280, TeI, KP195090322 * TeJ); + TeP = TeN - TeO; + Tfd = TeN + TeO; + TeT = TeP + TeS; + Tfo = Tfc + Tfd; + Tf1 = TeS - TeP; + Tfe = Tfc - Tfd; + } + { + E TeE, Tfg, TeL, Tff, TeH, TeK; + TeE = TeC - TeD; + Tfg = TeR - TeQ; + TeH = FNMS(KP980785280, TeG, KP195090322 * TeF); + TeK = FNMS(KP980785280, TeJ, KP195090322 * TeI); + TeL = TeH + TeK; + Tff = TeH - TeK; + TeM = TeE + TeL; + Tfp = Tfg - Tff; + Tf0 = TeE - TeL; + Tfh = Tff + Tfg; + } + } + { + E TeB, TeU, Tfn, Tfq; + TeB = Tet + TeA; + TeU = FNMS(KP673779706, TeT, KP1_883088130 * TeM); + O[WS(os, 71)] = TeB - TeU; + O[WS(os, 7)] = TeB + TeU; + Tfn = Tfl - Tfm; + Tfq = FNMS(KP1_997590912, Tfp, KP098135348 * Tfo); + O[WS(os, 95)] = Tfn - Tfq; + O[WS(os, 31)] = Tfn + Tfq; + } + { + E Tfr, Tfs, TeV, TeW; + Tfr = Tfl + Tfm; + Tfs = FMA(KP1_997590912, Tfo, KP098135348 * Tfp); + O[WS(os, 63)] = Tfr - Tfs; + O[WS(os, 127)] = Tfr + Tfs; + TeV = Tet - TeA; + TeW = FMA(KP673779706, TeM, KP1_883088130 * TeT); + O[WS(os, 39)] = TeV - TeW; + O[WS(os, 103)] = TeV + TeW; + } + { + E TeZ, Tf2, Tfb, Tfi; + TeZ = TeX - TeY; + Tf2 = FNMS(KP1_807978586, Tf1, KP855110186 * Tf0); + O[WS(os, 87)] = TeZ - Tf2; + O[WS(os, 23)] = TeZ + Tf2; + Tfb = Tf7 + Tfa; + Tfi = FNMS(KP1_343117909, Tfh, KP1_481902250 * Tfe); + O[WS(os, 79)] = Tfb - Tfi; + O[WS(os, 15)] = Tfb + Tfi; + } + { + E Tfj, Tfk, Tf3, Tf4; + Tfj = Tf7 - Tfa; + Tfk = FMA(KP1_343117909, Tfe, KP1_481902250 * Tfh); + O[WS(os, 47)] = Tfj - Tfk; + O[WS(os, 111)] = Tfj + Tfk; + Tf3 = TeX + TeY; + Tf4 = FMA(KP1_807978586, Tf0, KP855110186 * Tf1); + O[WS(os, 55)] = Tf3 - Tf4; + O[WS(os, 119)] = Tf3 + Tf4; + } + } + } +} + +static void mhc2r_128(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mhc2r_128_0(ri, ii, O, ris, iis, os); + ri += ivs; + ii += ivs; + O += ovs; + } +} + +static const khc2r_desc desc = { 128, "mhc2r_128", {812, 198, 144, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mhc2r_128) (planner *p) { + X(khc2r_register) (p, mhc2r_128, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/mhc2r_32.c b/src/fftw3/rdft/codelets/hc2r/mhc2r_32.c new file mode 100644 index 0000000..154a6d4 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/mhc2r_32.c @@ -0,0 +1,346 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:15 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r_noinline -compact -variables 4 -sign 1 -n 32 -name mhc2r_32 -include hc2r.h */ + +/* + * This function contains 156 FP additions, 50 FP multiplications, + * (or, 140 additions, 34 multiplications, 16 fused multiply/add), + * 53 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: mhc2r_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2r_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2r_32.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void mhc2r_32_0(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os) +{ + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + { + E T9, T2c, TB, T1y, T6, T2b, Ty, T1v, Th, T2e, T2f, TD, TK, T1C, T1F; + E T1h, Tp, T2i, T2m, TN, T13, T1K, T1Y, T1k, Tw, TU, T1l, TW, T1V, T2j; + E T1R, T2l; + { + E T7, T8, T1w, Tz, TA, T1x; + T7 = ri[WS(ris, 4)]; + T8 = ri[WS(ris, 12)]; + T1w = T7 - T8; + Tz = ii[WS(iis, 4)]; + TA = ii[WS(iis, 12)]; + T1x = Tz + TA; + T9 = KP2_000000000 * (T7 + T8); + T2c = KP1_414213562 * (T1w + T1x); + TB = KP2_000000000 * (Tz - TA); + T1y = KP1_414213562 * (T1w - T1x); + } + { + E T5, T1u, T3, T1s; + { + E T4, T1t, T1, T2; + T4 = ri[WS(ris, 8)]; + T5 = KP2_000000000 * T4; + T1t = ii[WS(iis, 8)]; + T1u = KP2_000000000 * T1t; + T1 = ri[0]; + T2 = ri[WS(ris, 16)]; + T3 = T1 + T2; + T1s = T1 - T2; + } + T6 = T3 + T5; + T2b = T1s + T1u; + Ty = T3 - T5; + T1v = T1s - T1u; + } + { + E Td, T1A, TG, T1E, Tg, T1D, TJ, T1B; + { + E Tb, Tc, TE, TF; + Tb = ri[WS(ris, 2)]; + Tc = ri[WS(ris, 14)]; + Td = Tb + Tc; + T1A = Tb - Tc; + TE = ii[WS(iis, 2)]; + TF = ii[WS(iis, 14)]; + TG = TE - TF; + T1E = TE + TF; + } + { + E Te, Tf, TH, TI; + Te = ri[WS(ris, 10)]; + Tf = ri[WS(ris, 6)]; + Tg = Te + Tf; + T1D = Te - Tf; + TH = ii[WS(iis, 10)]; + TI = ii[WS(iis, 6)]; + TJ = TH - TI; + T1B = TH + TI; + } + Th = KP2_000000000 * (Td + Tg); + T2e = T1A + T1B; + T2f = T1E - T1D; + TD = Td - Tg; + TK = TG - TJ; + T1C = T1A - T1B; + T1F = T1D + T1E; + T1h = KP2_000000000 * (TJ + TG); + } + { + E Tl, T1I, TZ, T1X, To, T1W, T12, T1J; + { + E Tj, Tk, TX, TY; + Tj = ri[WS(ris, 1)]; + Tk = ri[WS(ris, 15)]; + Tl = Tj + Tk; + T1I = Tj - Tk; + TX = ii[WS(iis, 1)]; + TY = ii[WS(iis, 15)]; + TZ = TX - TY; + T1X = TX + TY; + } + { + E Tm, Tn, T10, T11; + Tm = ri[WS(ris, 9)]; + Tn = ri[WS(ris, 7)]; + To = Tm + Tn; + T1W = Tm - Tn; + T10 = ii[WS(iis, 9)]; + T11 = ii[WS(iis, 7)]; + T12 = T10 - T11; + T1J = T10 + T11; + } + Tp = Tl + To; + T2i = T1I + T1J; + T2m = T1X - T1W; + TN = Tl - To; + T13 = TZ - T12; + T1K = T1I - T1J; + T1Y = T1W + T1X; + T1k = T12 + TZ; + } + { + E Ts, T1L, TT, T1M, Tv, T1O, TQ, T1P; + { + E Tq, Tr, TR, TS; + Tq = ri[WS(ris, 5)]; + Tr = ri[WS(ris, 11)]; + Ts = Tq + Tr; + T1L = Tq - Tr; + TR = ii[WS(iis, 5)]; + TS = ii[WS(iis, 11)]; + TT = TR - TS; + T1M = TR + TS; + } + { + E Tt, Tu, TO, TP; + Tt = ri[WS(ris, 3)]; + Tu = ri[WS(ris, 13)]; + Tv = Tt + Tu; + T1O = Tt - Tu; + TO = ii[WS(iis, 13)]; + TP = ii[WS(iis, 3)]; + TQ = TO - TP; + T1P = TP + TO; + } + Tw = Ts + Tv; + TU = TQ - TT; + T1l = TT + TQ; + TW = Ts - Tv; + { + E T1T, T1U, T1N, T1Q; + T1T = T1L + T1M; + T1U = T1O + T1P; + T1V = KP707106781 * (T1T - T1U); + T2j = KP707106781 * (T1T + T1U); + T1N = T1L - T1M; + T1Q = T1O - T1P; + T1R = KP707106781 * (T1N + T1Q); + T2l = KP707106781 * (T1N - T1Q); + } + } + { + E Tx, T1r, Ti, T1q, Ta; + Tx = KP2_000000000 * (Tp + Tw); + T1r = KP2_000000000 * (T1l + T1k); + Ta = T6 + T9; + Ti = Ta + Th; + T1q = Ta - Th; + O[WS(os, 16)] = Ti - Tx; + O[WS(os, 24)] = T1q + T1r; + O[0] = Ti + Tx; + O[WS(os, 8)] = T1q - T1r; + } + { + E T1i, T1o, T1n, T1p, T1g, T1j, T1m; + T1g = T6 - T9; + T1i = T1g - T1h; + T1o = T1g + T1h; + T1j = Tp - Tw; + T1m = T1k - T1l; + T1n = KP1_414213562 * (T1j - T1m); + T1p = KP1_414213562 * (T1j + T1m); + O[WS(os, 20)] = T1i - T1n; + O[WS(os, 28)] = T1o + T1p; + O[WS(os, 4)] = T1i + T1n; + O[WS(os, 12)] = T1o - T1p; + } + { + E TM, T16, T15, T17; + { + E TC, TL, TV, T14; + TC = Ty - TB; + TL = KP1_414213562 * (TD - TK); + TM = TC + TL; + T16 = TC - TL; + TV = TN + TU; + T14 = TW + T13; + T15 = FNMS(KP765366864, T14, KP1_847759065 * TV); + T17 = FMA(KP765366864, TV, KP1_847759065 * T14); + } + O[WS(os, 18)] = TM - T15; + O[WS(os, 26)] = T16 + T17; + O[WS(os, 2)] = TM + T15; + O[WS(os, 10)] = T16 - T17; + } + { + E T2t, T2x, T2w, T2y; + { + E T2r, T2s, T2u, T2v; + T2r = T2b + T2c; + T2s = FMA(KP1_847759065, T2e, KP765366864 * T2f); + T2t = T2r - T2s; + T2x = T2r + T2s; + T2u = T2i + T2j; + T2v = T2m - T2l; + T2w = FNMS(KP1_961570560, T2v, KP390180644 * T2u); + T2y = FMA(KP1_961570560, T2u, KP390180644 * T2v); + } + O[WS(os, 23)] = T2t - T2w; + O[WS(os, 31)] = T2x + T2y; + O[WS(os, 7)] = T2t + T2w; + O[WS(os, 15)] = T2x - T2y; + } + { + E T1a, T1e, T1d, T1f; + { + E T18, T19, T1b, T1c; + T18 = Ty + TB; + T19 = KP1_414213562 * (TD + TK); + T1a = T18 - T19; + T1e = T18 + T19; + T1b = TN - TU; + T1c = T13 - TW; + T1d = FNMS(KP1_847759065, T1c, KP765366864 * T1b); + T1f = FMA(KP1_847759065, T1b, KP765366864 * T1c); + } + O[WS(os, 22)] = T1a - T1d; + O[WS(os, 30)] = T1e + T1f; + O[WS(os, 6)] = T1a + T1d; + O[WS(os, 14)] = T1e - T1f; + } + { + E T25, T29, T28, T2a; + { + E T23, T24, T26, T27; + T23 = T1v - T1y; + T24 = FMA(KP765366864, T1C, KP1_847759065 * T1F); + T25 = T23 - T24; + T29 = T23 + T24; + T26 = T1K - T1R; + T27 = T1Y - T1V; + T28 = FNMS(KP1_662939224, T27, KP1_111140466 * T26); + T2a = FMA(KP1_662939224, T26, KP1_111140466 * T27); + } + O[WS(os, 21)] = T25 - T28; + O[WS(os, 29)] = T29 + T2a; + O[WS(os, 5)] = T25 + T28; + O[WS(os, 13)] = T29 - T2a; + } + { + E T2h, T2p, T2o, T2q; + { + E T2d, T2g, T2k, T2n; + T2d = T2b - T2c; + T2g = FNMS(KP1_847759065, T2f, KP765366864 * T2e); + T2h = T2d + T2g; + T2p = T2d - T2g; + T2k = T2i - T2j; + T2n = T2l + T2m; + T2o = FNMS(KP1_111140466, T2n, KP1_662939224 * T2k); + T2q = FMA(KP1_111140466, T2k, KP1_662939224 * T2n); + } + O[WS(os, 19)] = T2h - T2o; + O[WS(os, 27)] = T2p + T2q; + O[WS(os, 3)] = T2h + T2o; + O[WS(os, 11)] = T2p - T2q; + } + { + E T1H, T21, T20, T22; + { + E T1z, T1G, T1S, T1Z; + T1z = T1v + T1y; + T1G = FNMS(KP765366864, T1F, KP1_847759065 * T1C); + T1H = T1z + T1G; + T21 = T1z - T1G; + T1S = T1K + T1R; + T1Z = T1V + T1Y; + T20 = FNMS(KP390180644, T1Z, KP1_961570560 * T1S); + T22 = FMA(KP390180644, T1S, KP1_961570560 * T1Z); + } + O[WS(os, 17)] = T1H - T20; + O[WS(os, 25)] = T21 + T22; + O[WS(os, 1)] = T1H + T20; + O[WS(os, 9)] = T21 - T22; + } + } +} + +static void mhc2r_32(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mhc2r_32_0(ri, ii, O, ris, iis, os); + ri += ivs; + ii += ivs; + O += ovs; + } +} + +static const khc2r_desc desc = { 32, "mhc2r_32", {140, 34, 16, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mhc2r_32) (planner *p) { + X(khc2r_register) (p, mhc2r_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2r/mhc2r_64.c b/src/fftw3/rdft/codelets/hc2r/mhc2r_64.c new file mode 100644 index 0000000..48fb66f --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2r/mhc2r_64.c @@ -0,0 +1,733 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:11:18 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2r_noinline -compact -variables 4 -sign 1 -n 64 -name mhc2r_64 -include hc2r.h */ + +/* + * This function contains 394 FP additions, 134 FP multiplications, + * (or, 342 additions, 82 multiplications, 52 fused multiply/add), + * 109 stack variables, and 128 memory accesses + */ +/* + * Generator Id's : + * $Id: mhc2r_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2r_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + * $Id: mhc2r_64.c,v 1.1 2008/10/17 06:12:08 scuri Exp $ + */ + +#include "hc2r.h" + +static void mhc2r_64_0(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os) +{ + DK(KP1_268786568, +1.268786568327290996430343226450986741351374190); + DK(KP1_546020906, +1.546020906725473921621813219516939601942082586); + DK(KP196034280, +0.196034280659121203988391127777283691722273346); + DK(KP1_990369453, +1.990369453344393772489673906218959843150949737); + DK(KP942793473, +0.942793473651995297112775251810508755314920638); + DK(KP1_763842528, +1.763842528696710059425513727320776699016885241); + DK(KP580569354, +0.580569354508924735272384751634790549382952557); + DK(KP1_913880671, +1.913880671464417729871595773960539938965698411); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + { + E Ta, T2S, T18, T2u, T3F, T4V, T5l, T61, Th, T2T, T1h, T2v, T3M, T4W, T5o; + E T62, T3Q, T5q, T5u, T44, Tp, Tw, T2V, T2W, T2X, T2Y, T3X, T5t, T1r, T2x; + E T41, T5r, T1A, T2y, T4a, T5y, T5N, T4H, TN, T31, T4E, T5z, T39, T3q, T1L; + E T2B, T4h, T5M, T2h, T2F, T12, T36, T5D, T5J, T5G, T5K, T1U, T26, T23, T27; + E T4p, T4z, T4w, T4A, T34, T3r; + { + E T5, T3A, T3, T3y, T9, T3C, T17, T3D, T6, T14; + { + E T4, T3z, T1, T2; + T4 = ri[WS(ris, 16)]; + T5 = KP2_000000000 * T4; + T3z = ii[WS(iis, 16)]; + T3A = KP2_000000000 * T3z; + T1 = ri[0]; + T2 = ri[WS(ris, 32)]; + T3 = T1 + T2; + T3y = T1 - T2; + { + E T7, T8, T15, T16; + T7 = ri[WS(ris, 8)]; + T8 = ri[WS(ris, 24)]; + T9 = KP2_000000000 * (T7 + T8); + T3C = T7 - T8; + T15 = ii[WS(iis, 8)]; + T16 = ii[WS(iis, 24)]; + T17 = KP2_000000000 * (T15 - T16); + T3D = T15 + T16; + } + } + T6 = T3 + T5; + Ta = T6 + T9; + T2S = T6 - T9; + T14 = T3 - T5; + T18 = T14 - T17; + T2u = T14 + T17; + { + E T3B, T3E, T5j, T5k; + T3B = T3y - T3A; + T3E = KP1_414213562 * (T3C - T3D); + T3F = T3B + T3E; + T4V = T3B - T3E; + T5j = T3y + T3A; + T5k = KP1_414213562 * (T3C + T3D); + T5l = T5j - T5k; + T61 = T5j + T5k; + } + } + { + E Td, T3G, T1c, T3K, Tg, T3J, T1f, T3H, T19, T1g; + { + E Tb, Tc, T1a, T1b; + Tb = ri[WS(ris, 4)]; + Tc = ri[WS(ris, 28)]; + Td = Tb + Tc; + T3G = Tb - Tc; + T1a = ii[WS(iis, 4)]; + T1b = ii[WS(iis, 28)]; + T1c = T1a - T1b; + T3K = T1a + T1b; + } + { + E Te, Tf, T1d, T1e; + Te = ri[WS(ris, 20)]; + Tf = ri[WS(ris, 12)]; + Tg = Te + Tf; + T3J = Te - Tf; + T1d = ii[WS(iis, 20)]; + T1e = ii[WS(iis, 12)]; + T1f = T1d - T1e; + T3H = T1d + T1e; + } + Th = KP2_000000000 * (Td + Tg); + T2T = KP2_000000000 * (T1f + T1c); + T19 = Td - Tg; + T1g = T1c - T1f; + T1h = KP1_414213562 * (T19 - T1g); + T2v = KP1_414213562 * (T19 + T1g); + { + E T3I, T3L, T5m, T5n; + T3I = T3G - T3H; + T3L = T3J + T3K; + T3M = FNMS(KP765366864, T3L, KP1_847759065 * T3I); + T4W = FMA(KP765366864, T3I, KP1_847759065 * T3L); + T5m = T3G + T3H; + T5n = T3K - T3J; + T5o = FNMS(KP1_847759065, T5n, KP765366864 * T5m); + T62 = FMA(KP1_847759065, T5m, KP765366864 * T5n); + } + } + { + E Tl, T3O, T1v, T43, To, T42, T1y, T3P, Ts, T3R, T1p, T3S, Tv, T3U, T1m; + E T3V; + { + E Tj, Tk, T1t, T1u; + Tj = ri[WS(ris, 2)]; + Tk = ri[WS(ris, 30)]; + Tl = Tj + Tk; + T3O = Tj - Tk; + T1t = ii[WS(iis, 2)]; + T1u = ii[WS(iis, 30)]; + T1v = T1t - T1u; + T43 = T1t + T1u; + } + { + E Tm, Tn, T1w, T1x; + Tm = ri[WS(ris, 18)]; + Tn = ri[WS(ris, 14)]; + To = Tm + Tn; + T42 = Tm - Tn; + T1w = ii[WS(iis, 18)]; + T1x = ii[WS(iis, 14)]; + T1y = T1w - T1x; + T3P = T1w + T1x; + } + { + E Tq, Tr, T1n, T1o; + Tq = ri[WS(ris, 10)]; + Tr = ri[WS(ris, 22)]; + Ts = Tq + Tr; + T3R = Tq - Tr; + T1n = ii[WS(iis, 10)]; + T1o = ii[WS(iis, 22)]; + T1p = T1n - T1o; + T3S = T1n + T1o; + } + { + E Tt, Tu, T1k, T1l; + Tt = ri[WS(ris, 6)]; + Tu = ri[WS(ris, 26)]; + Tv = Tt + Tu; + T3U = Tt - Tu; + T1k = ii[WS(iis, 26)]; + T1l = ii[WS(iis, 6)]; + T1m = T1k - T1l; + T3V = T1l + T1k; + } + T3Q = T3O - T3P; + T5q = T3O + T3P; + T5u = T43 - T42; + T44 = T42 + T43; + Tp = Tl + To; + Tw = Ts + Tv; + T2V = Tp - Tw; + { + E T3T, T3W, T1j, T1q; + T2W = T1y + T1v; + T2X = T1p + T1m; + T2Y = T2W - T2X; + T3T = T3R - T3S; + T3W = T3U - T3V; + T3X = KP707106781 * (T3T + T3W); + T5t = KP707106781 * (T3T - T3W); + T1j = Tl - To; + T1q = T1m - T1p; + T1r = T1j + T1q; + T2x = T1j - T1q; + { + E T3Z, T40, T1s, T1z; + T3Z = T3R + T3S; + T40 = T3U + T3V; + T41 = KP707106781 * (T3Z - T40); + T5r = KP707106781 * (T3Z + T40); + T1s = Ts - Tv; + T1z = T1v - T1y; + T1A = T1s + T1z; + T2y = T1z - T1s; + } + } + } + { + E TB, T48, T2c, T4G, TE, T4F, T2f, T49, TI, T4b, T1J, T4c, TL, T4e, T1G; + E T4f; + { + E Tz, TA, T2a, T2b; + Tz = ri[WS(ris, 1)]; + TA = ri[WS(ris, 31)]; + TB = Tz + TA; + T48 = Tz - TA; + T2a = ii[WS(iis, 1)]; + T2b = ii[WS(iis, 31)]; + T2c = T2a - T2b; + T4G = T2a + T2b; + } + { + E TC, TD, T2d, T2e; + TC = ri[WS(ris, 17)]; + TD = ri[WS(ris, 15)]; + TE = TC + TD; + T4F = TC - TD; + T2d = ii[WS(iis, 17)]; + T2e = ii[WS(iis, 15)]; + T2f = T2d - T2e; + T49 = T2d + T2e; + } + { + E TG, TH, T1H, T1I; + TG = ri[WS(ris, 9)]; + TH = ri[WS(ris, 23)]; + TI = TG + TH; + T4b = TG - TH; + T1H = ii[WS(iis, 9)]; + T1I = ii[WS(iis, 23)]; + T1J = T1H - T1I; + T4c = T1H + T1I; + } + { + E TJ, TK, T1E, T1F; + TJ = ri[WS(ris, 7)]; + TK = ri[WS(ris, 25)]; + TL = TJ + TK; + T4e = TJ - TK; + T1E = ii[WS(iis, 25)]; + T1F = ii[WS(iis, 7)]; + T1G = T1E - T1F; + T4f = T1F + T1E; + } + { + E TF, TM, T1D, T1K; + T4a = T48 - T49; + T5y = T48 + T49; + T5N = T4G - T4F; + T4H = T4F + T4G; + TF = TB + TE; + TM = TI + TL; + TN = TF + TM; + T31 = TF - TM; + { + E T4C, T4D, T37, T38; + T4C = T4b + T4c; + T4D = T4e + T4f; + T4E = KP707106781 * (T4C - T4D); + T5z = KP707106781 * (T4C + T4D); + T37 = T2f + T2c; + T38 = T1J + T1G; + T39 = T37 - T38; + T3q = T38 + T37; + } + T1D = TB - TE; + T1K = T1G - T1J; + T1L = T1D + T1K; + T2B = T1D - T1K; + { + E T4d, T4g, T29, T2g; + T4d = T4b - T4c; + T4g = T4e - T4f; + T4h = KP707106781 * (T4d + T4g); + T5M = KP707106781 * (T4d - T4g); + T29 = TI - TL; + T2g = T2c - T2f; + T2h = T29 + T2g; + T2F = T2g - T29; + } + } + } + { + E TQ, T4j, T1P, T4n, TT, T4m, T1S, T4k, TX, T4q, T1Y, T4u, T10, T4t, T21; + E T4r; + { + E TO, TP, T1N, T1O; + TO = ri[WS(ris, 5)]; + TP = ri[WS(ris, 27)]; + TQ = TO + TP; + T4j = TO - TP; + T1N = ii[WS(iis, 5)]; + T1O = ii[WS(iis, 27)]; + T1P = T1N - T1O; + T4n = T1N + T1O; + } + { + E TR, TS, T1Q, T1R; + TR = ri[WS(ris, 21)]; + TS = ri[WS(ris, 11)]; + TT = TR + TS; + T4m = TR - TS; + T1Q = ii[WS(iis, 21)]; + T1R = ii[WS(iis, 11)]; + T1S = T1Q - T1R; + T4k = T1Q + T1R; + } + { + E TV, TW, T1W, T1X; + TV = ri[WS(ris, 3)]; + TW = ri[WS(ris, 29)]; + TX = TV + TW; + T4q = TV - TW; + T1W = ii[WS(iis, 29)]; + T1X = ii[WS(iis, 3)]; + T1Y = T1W - T1X; + T4u = T1X + T1W; + } + { + E TY, TZ, T1Z, T20; + TY = ri[WS(ris, 13)]; + TZ = ri[WS(ris, 19)]; + T10 = TY + TZ; + T4t = TY - TZ; + T1Z = ii[WS(iis, 13)]; + T20 = ii[WS(iis, 19)]; + T21 = T1Z - T20; + T4r = T1Z + T20; + } + { + E TU, T11, T5B, T5C; + TU = TQ + TT; + T11 = TX + T10; + T12 = TU + T11; + T36 = TU - T11; + T5B = T4j + T4k; + T5C = T4n - T4m; + T5D = FNMS(KP923879532, T5C, KP382683432 * T5B); + T5J = FMA(KP923879532, T5B, KP382683432 * T5C); + } + { + E T5E, T5F, T1M, T1T; + T5E = T4q + T4r; + T5F = T4t + T4u; + T5G = FNMS(KP923879532, T5F, KP382683432 * T5E); + T5K = FMA(KP923879532, T5E, KP382683432 * T5F); + T1M = TQ - TT; + T1T = T1P - T1S; + T1U = T1M - T1T; + T26 = T1M + T1T; + } + { + E T1V, T22, T4l, T4o; + T1V = TX - T10; + T22 = T1Y - T21; + T23 = T1V + T22; + T27 = T22 - T1V; + T4l = T4j - T4k; + T4o = T4m + T4n; + T4p = FNMS(KP382683432, T4o, KP923879532 * T4l); + T4z = FMA(KP382683432, T4l, KP923879532 * T4o); + } + { + E T4s, T4v, T32, T33; + T4s = T4q - T4r; + T4v = T4t - T4u; + T4w = FMA(KP923879532, T4s, KP382683432 * T4v); + T4A = FNMS(KP382683432, T4s, KP923879532 * T4v); + T32 = T21 + T1Y; + T33 = T1S + T1P; + T34 = T32 - T33; + T3r = T33 + T32; + } + } + { + E T13, T3x, Ty, T3w, Ti, Tx; + T13 = KP2_000000000 * (TN + T12); + T3x = KP2_000000000 * (T3r + T3q); + Ti = Ta + Th; + Tx = KP2_000000000 * (Tp + Tw); + Ty = Ti + Tx; + T3w = Ti - Tx; + O[WS(os, 32)] = Ty - T13; + O[WS(os, 48)] = T3w + T3x; + O[0] = Ty + T13; + O[WS(os, 16)] = T3w - T3x; + } + { + E T3g, T3k, T3j, T3l; + { + E T3e, T3f, T3h, T3i; + T3e = T2S + T2T; + T3f = KP1_414213562 * (T2V + T2Y); + T3g = T3e - T3f; + T3k = T3e + T3f; + T3h = T31 - T34; + T3i = T39 - T36; + T3j = FNMS(KP1_847759065, T3i, KP765366864 * T3h); + T3l = FMA(KP1_847759065, T3h, KP765366864 * T3i); + } + O[WS(os, 44)] = T3g - T3j; + O[WS(os, 60)] = T3k + T3l; + O[WS(os, 12)] = T3g + T3j; + O[WS(os, 28)] = T3k - T3l; + } + { + E T3o, T3u, T3t, T3v; + { + E T3m, T3n, T3p, T3s; + T3m = Ta - Th; + T3n = KP2_000000000 * (T2X + T2W); + T3o = T3m - T3n; + T3u = T3m + T3n; + T3p = TN - T12; + T3s = T3q - T3r; + T3t = KP1_414213562 * (T3p - T3s); + T3v = KP1_414213562 * (T3p + T3s); + } + O[WS(os, 40)] = T3o - T3t; + O[WS(os, 56)] = T3u + T3v; + O[WS(os, 8)] = T3o + T3t; + O[WS(os, 24)] = T3u - T3v; + } + { + E T30, T3c, T3b, T3d; + { + E T2U, T2Z, T35, T3a; + T2U = T2S - T2T; + T2Z = KP1_414213562 * (T2V - T2Y); + T30 = T2U + T2Z; + T3c = T2U - T2Z; + T35 = T31 + T34; + T3a = T36 + T39; + T3b = FNMS(KP765366864, T3a, KP1_847759065 * T35); + T3d = FMA(KP765366864, T35, KP1_847759065 * T3a); + } + O[WS(os, 36)] = T30 - T3b; + O[WS(os, 52)] = T3c + T3d; + O[WS(os, 4)] = T30 + T3b; + O[WS(os, 20)] = T3c - T3d; + } + { + E T25, T2p, T2i, T2q, T1C, T2k, T2o, T2s, T24, T28; + T24 = KP707106781 * (T1U + T23); + T25 = T1L + T24; + T2p = T1L - T24; + T28 = KP707106781 * (T26 + T27); + T2i = T28 + T2h; + T2q = T2h - T28; + { + E T1i, T1B, T2m, T2n; + T1i = T18 + T1h; + T1B = FNMS(KP765366864, T1A, KP1_847759065 * T1r); + T1C = T1i + T1B; + T2k = T1i - T1B; + T2m = T18 - T1h; + T2n = FMA(KP765366864, T1r, KP1_847759065 * T1A); + T2o = T2m - T2n; + T2s = T2m + T2n; + } + { + E T2j, T2t, T2l, T2r; + T2j = FNMS(KP390180644, T2i, KP1_961570560 * T25); + O[WS(os, 34)] = T1C - T2j; + O[WS(os, 2)] = T1C + T2j; + T2t = FMA(KP1_662939224, T2p, KP1_111140466 * T2q); + O[WS(os, 26)] = T2s - T2t; + O[WS(os, 58)] = T2s + T2t; + T2l = FMA(KP390180644, T25, KP1_961570560 * T2i); + O[WS(os, 18)] = T2k - T2l; + O[WS(os, 50)] = T2k + T2l; + T2r = FNMS(KP1_662939224, T2q, KP1_111140466 * T2p); + O[WS(os, 42)] = T2o - T2r; + O[WS(os, 10)] = T2o + T2r; + } + } + { + E T2D, T2N, T2G, T2O, T2A, T2I, T2M, T2Q, T2C, T2E; + T2C = KP707106781 * (T27 - T26); + T2D = T2B + T2C; + T2N = T2B - T2C; + T2E = KP707106781 * (T1U - T23); + T2G = T2E + T2F; + T2O = T2F - T2E; + { + E T2w, T2z, T2K, T2L; + T2w = T2u - T2v; + T2z = FNMS(KP1_847759065, T2y, KP765366864 * T2x); + T2A = T2w + T2z; + T2I = T2w - T2z; + T2K = T2u + T2v; + T2L = FMA(KP1_847759065, T2x, KP765366864 * T2y); + T2M = T2K - T2L; + T2Q = T2K + T2L; + } + { + E T2H, T2R, T2J, T2P; + T2H = FNMS(KP1_111140466, T2G, KP1_662939224 * T2D); + O[WS(os, 38)] = T2A - T2H; + O[WS(os, 6)] = T2A + T2H; + T2R = FMA(KP1_961570560, T2N, KP390180644 * T2O); + O[WS(os, 30)] = T2Q - T2R; + O[WS(os, 62)] = T2Q + T2R; + T2J = FMA(KP1_111140466, T2D, KP1_662939224 * T2G); + O[WS(os, 22)] = T2I - T2J; + O[WS(os, 54)] = T2I + T2J; + T2P = FNMS(KP1_961570560, T2O, KP390180644 * T2N); + O[WS(os, 46)] = T2M - T2P; + O[WS(os, 14)] = T2M + T2P; + } + } + { + E T5p, T5T, T5w, T5U, T5I, T5W, T5P, T5X, T5s, T5v; + T5p = T5l + T5o; + T5T = T5l - T5o; + T5s = T5q - T5r; + T5v = T5t + T5u; + T5w = FNMS(KP1_111140466, T5v, KP1_662939224 * T5s); + T5U = FMA(KP1_111140466, T5s, KP1_662939224 * T5v); + { + E T5A, T5H, T5L, T5O; + T5A = T5y - T5z; + T5H = T5D + T5G; + T5I = T5A + T5H; + T5W = T5A - T5H; + T5L = T5J - T5K; + T5O = T5M + T5N; + T5P = T5L + T5O; + T5X = T5O - T5L; + } + { + E T5x, T5Q, T5Z, T60; + T5x = T5p + T5w; + T5Q = FNMS(KP580569354, T5P, KP1_913880671 * T5I); + O[WS(os, 35)] = T5x - T5Q; + O[WS(os, 3)] = T5x + T5Q; + T5Z = T5T + T5U; + T60 = FMA(KP1_763842528, T5W, KP942793473 * T5X); + O[WS(os, 27)] = T5Z - T60; + O[WS(os, 59)] = T5Z + T60; + } + { + E T5R, T5S, T5V, T5Y; + T5R = T5p - T5w; + T5S = FMA(KP580569354, T5I, KP1_913880671 * T5P); + O[WS(os, 19)] = T5R - T5S; + O[WS(os, 51)] = T5R + T5S; + T5V = T5T - T5U; + T5Y = FNMS(KP1_763842528, T5X, KP942793473 * T5W); + O[WS(os, 43)] = T5V - T5Y; + O[WS(os, 11)] = T5V + T5Y; + } + } + { + E T3N, T4N, T46, T4O, T4y, T4Q, T4J, T4R, T3Y, T45; + T3N = T3F + T3M; + T4N = T3F - T3M; + T3Y = T3Q + T3X; + T45 = T41 + T44; + T46 = FNMS(KP390180644, T45, KP1_961570560 * T3Y); + T4O = FMA(KP390180644, T3Y, KP1_961570560 * T45); + { + E T4i, T4x, T4B, T4I; + T4i = T4a + T4h; + T4x = T4p + T4w; + T4y = T4i + T4x; + T4Q = T4i - T4x; + T4B = T4z + T4A; + T4I = T4E + T4H; + T4J = T4B + T4I; + T4R = T4I - T4B; + } + { + E T47, T4K, T4T, T4U; + T47 = T3N + T46; + T4K = FNMS(KP196034280, T4J, KP1_990369453 * T4y); + O[WS(os, 33)] = T47 - T4K; + O[WS(os, 1)] = T47 + T4K; + T4T = T4N + T4O; + T4U = FMA(KP1_546020906, T4Q, KP1_268786568 * T4R); + O[WS(os, 25)] = T4T - T4U; + O[WS(os, 57)] = T4T + T4U; + } + { + E T4L, T4M, T4P, T4S; + T4L = T3N - T46; + T4M = FMA(KP196034280, T4y, KP1_990369453 * T4J); + O[WS(os, 17)] = T4L - T4M; + O[WS(os, 49)] = T4L + T4M; + T4P = T4N - T4O; + T4S = FNMS(KP1_546020906, T4R, KP1_268786568 * T4Q); + O[WS(os, 41)] = T4P - T4S; + O[WS(os, 9)] = T4P + T4S; + } + } + { + E T63, T6h, T66, T6i, T6a, T6k, T6d, T6l, T64, T65; + T63 = T61 - T62; + T6h = T61 + T62; + T64 = T5q + T5r; + T65 = T5u - T5t; + T66 = FNMS(KP1_961570560, T65, KP390180644 * T64); + T6i = FMA(KP1_961570560, T64, KP390180644 * T65); + { + E T68, T69, T6b, T6c; + T68 = T5y + T5z; + T69 = T5J + T5K; + T6a = T68 - T69; + T6k = T68 + T69; + T6b = T5D - T5G; + T6c = T5N - T5M; + T6d = T6b + T6c; + T6l = T6c - T6b; + } + { + E T67, T6e, T6n, T6o; + T67 = T63 + T66; + T6e = FNMS(KP1_268786568, T6d, KP1_546020906 * T6a); + O[WS(os, 39)] = T67 - T6e; + O[WS(os, 7)] = T67 + T6e; + T6n = T6h + T6i; + T6o = FMA(KP1_990369453, T6k, KP196034280 * T6l); + O[WS(os, 31)] = T6n - T6o; + O[WS(os, 63)] = T6n + T6o; + } + { + E T6f, T6g, T6j, T6m; + T6f = T63 - T66; + T6g = FMA(KP1_268786568, T6a, KP1_546020906 * T6d); + O[WS(os, 23)] = T6f - T6g; + O[WS(os, 55)] = T6f + T6g; + T6j = T6h - T6i; + T6m = FNMS(KP1_990369453, T6l, KP196034280 * T6k); + O[WS(os, 47)] = T6j - T6m; + O[WS(os, 15)] = T6j + T6m; + } + } + { + E T4X, T5b, T50, T5c, T54, T5e, T57, T5f, T4Y, T4Z; + T4X = T4V - T4W; + T5b = T4V + T4W; + T4Y = T3Q - T3X; + T4Z = T44 - T41; + T50 = FNMS(KP1_662939224, T4Z, KP1_111140466 * T4Y); + T5c = FMA(KP1_662939224, T4Y, KP1_111140466 * T4Z); + { + E T52, T53, T55, T56; + T52 = T4a - T4h; + T53 = T4A - T4z; + T54 = T52 + T53; + T5e = T52 - T53; + T55 = T4p - T4w; + T56 = T4H - T4E; + T57 = T55 + T56; + T5f = T56 - T55; + } + { + E T51, T58, T5h, T5i; + T51 = T4X + T50; + T58 = FNMS(KP942793473, T57, KP1_763842528 * T54); + O[WS(os, 37)] = T51 - T58; + O[WS(os, 5)] = T51 + T58; + T5h = T5b + T5c; + T5i = FMA(KP1_913880671, T5e, KP580569354 * T5f); + O[WS(os, 29)] = T5h - T5i; + O[WS(os, 61)] = T5h + T5i; + } + { + E T59, T5a, T5d, T5g; + T59 = T4X - T50; + T5a = FMA(KP942793473, T54, KP1_763842528 * T57); + O[WS(os, 21)] = T59 - T5a; + O[WS(os, 53)] = T59 + T5a; + T5d = T5b - T5c; + T5g = FNMS(KP1_913880671, T5f, KP580569354 * T5e); + O[WS(os, 45)] = T5d - T5g; + O[WS(os, 13)] = T5d + T5g; + } + } + } +} + +static void mhc2r_64(const R *ri, const R *ii, R *O, stride ris, stride iis, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mhc2r_64_0(ri, ii, O, ris, iis, os); + ri += ivs; + ii += ivs; + O += ovs; + } +} + +static const khc2r_desc desc = { 64, "mhc2r_64", {342, 82, 52, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mhc2r_64) (planner *p) { + X(khc2r_register) (p, mhc2r_64, &desc); +} diff --git a/src/fftw3/rdft/codelets/hc2rIII.h b/src/fftw3/rdft/codelets/hc2rIII.h new file mode 100644 index 0000000..f14d248 --- /dev/null +++ b/src/fftw3/rdft/codelets/hc2rIII.h @@ -0,0 +1,23 @@ +/* + * 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 + * + */ + + +#define GENUS X(rdft_hc2rIII_genus) +extern const khc2rIII_genus GENUS; diff --git a/src/fftw3/rdft/codelets/hf.h b/src/fftw3/rdft/codelets/hf.h new file mode 100644 index 0000000..ff80d36 --- /dev/null +++ b/src/fftw3/rdft/codelets/hf.h @@ -0,0 +1,23 @@ +/* + * 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 + * + */ + + +#define GENUS X(rdft_hf_genus) +extern const hc2hc_genus GENUS; diff --git a/src/fftw3/rdft/codelets/hfb.c b/src/fftw3/rdft/codelets/hfb.c new file mode 100644 index 0000000..93b2bb6 --- /dev/null +++ b/src/fftw3/rdft/codelets/hfb.c @@ -0,0 +1,41 @@ +/* + * 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 "codelet-rdft.h" +#include "hf.h" + +static int okp(const hc2hc_desc *d, + const R *rio, const R *iio, + int ios, int vs, int m, int dist) +{ + UNUSED(rio); UNUSED(iio); UNUSED(m); + return (1 + && (!d->s1 || (d->s1 == ios)) + && (!d->s2 || (d->s2 == vs)) + && (!d->dist || (d->dist == dist)) + ); +} + +const hc2hc_genus GENUS = { okp, R2HC, 1 }; + +#undef GENUS +#include "hb.h" + +const hc2hc_genus GENUS = { okp, HC2R, 1 }; diff --git a/src/fftw3/rdft/codelets/r2hc.c b/src/fftw3/rdft/codelets/r2hc.c new file mode 100644 index 0000000..1506868 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc.c @@ -0,0 +1,44 @@ +/* + * 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 "codelet-rdft.h" +#include "r2hc.h" + +static int okp(const kr2hc_desc *d, + const R *I, + const R *ro, const R *io, + int is, int ros, int ios, int vl, int ivs, int ovs) +{ + UNUSED(I); UNUSED(ro); UNUSED(io); UNUSED(vl); + return (1 + && (!d->is || (d->is == is)) + && (!d->ros || (d->ros == ros)) + && (!d->ios || (d->ros == ios)) + && (!d->ivs || (d->ivs == ivs)) + && (!d->ovs || (d->ovs == ovs)) + ); +} + +const kr2hc_genus GENUS = { okp, R2HC, 1 }; + +#undef GENUS +#include "r2hcII.h" + +const kr2hcII_genus GENUS = { okp, R2HCII, 1 }; diff --git a/src/fftw3/rdft/codelets/r2hc.h b/src/fftw3/rdft/codelets/r2hc.h new file mode 100644 index 0000000..6ec1e28 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc.h @@ -0,0 +1,23 @@ +/* + * 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 + * + */ + + +#define GENUS X(rdft_r2hc_genus) +extern const kr2hc_genus GENUS; diff --git a/src/fftw3/rdft/codelets/r2hc/hf2_16.c b/src/fftw3/rdft/codelets/r2hc/hf2_16.c new file mode 100644 index 0000000..47323ee --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf2_16.c @@ -0,0 +1,411 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:30 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -twiddle-log3 -n 16 -dit -name hf2_16 -include hf.h */ + +/* + * This function contains 196 FP additions, 108 FP multiplications, + * (or, 156 additions, 68 multiplications, 40 fused multiply/add), + * 104 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: hf2_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf2_16(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 8) { + E T1, T3d, T18, T26, T29, T2R, Tq, T1r, T1E, T2k, T2g, T1O, Te, T3c, Tz; + E T1P, T1S, T1T, T1U, TG, TL, T1V, T1Y, T1Z, T20, TT, TY, T1X, T1A, T2l; + E T1J, T2h, T1h, T2b, T1m, T2a; + T1 = rio[0]; + T3d = iio[-WS(ios, 15)]; + { + E T9, T1z, Td, T1v, T1I, Tl, Tp, T1G, Tu, T1D, TD, Ty, T1C, T1l, TX; + E TK, T1g, TI, T1j, TF, T1c, TQ, TS, T1p, T1q, TV, T2, T5, Ti, Tg; + E T4, Tw, Ts, Ta, Tv, T7, Tb, Tr, Tk, TW, TJ, TC, TU, To, TE; + E TH, T14, T24, T17, T25, TN, TO, TP, TR; + T9 = rio[WS(ios, 8)]; + T1z = iio[-WS(ios, 8)]; + Td = iio[-WS(ios, 7)]; + T1v = rio[WS(ios, 7)]; + T1I = iio[-WS(ios, 4)]; + Tl = rio[WS(ios, 4)]; + Tp = iio[-WS(ios, 11)]; + T1G = rio[WS(ios, 11)]; + Tu = rio[WS(ios, 12)]; + T1D = iio[-WS(ios, 12)]; + TD = rio[WS(ios, 2)]; + Ty = iio[-WS(ios, 3)]; + T1C = rio[WS(ios, 3)]; + T1l = iio[-WS(ios, 2)]; + TX = iio[-WS(ios, 9)]; + TK = iio[-WS(ios, 5)]; + T1g = iio[-WS(ios, 10)]; + TI = rio[WS(ios, 10)]; + T1j = rio[WS(ios, 13)]; + TF = iio[-WS(ios, 13)]; + T1c = rio[WS(ios, 5)]; + TQ = rio[WS(ios, 14)]; + TS = iio[-WS(ios, 1)]; + T1p = rio[WS(ios, 15)]; + T1q = iio[0]; + TV = rio[WS(ios, 6)]; + { + E T12, T16, T13, T15, T3, T6, Tm, Tj, Tn, Th; + T12 = rio[WS(ios, 1)]; + T16 = iio[-WS(ios, 6)]; + T13 = iio[-WS(ios, 14)]; + T15 = rio[WS(ios, 9)]; + T2 = W[4]; + T5 = W[5]; + T3 = W[0]; + T6 = W[1]; + Ti = W[3]; + Tg = W[2]; + T4 = T2 * T3; + Tw = T5 * Tg; + Ts = T5 * Ti; + Ta = T2 * T6; + Tv = T2 * Ti; + T7 = T5 * T6; + Tb = T5 * T3; + Tr = T2 * Tg; + Tm = Tg * T6; + Tj = Ti * T6; + Tn = Ti * T3; + Th = Tg * T3; + Tk = Th - Tj; + TW = Tv - Tw; + TJ = Ta + Tb; + TC = Th + Tj; + TU = Tr + Ts; + To = Tm + Tn; + TE = Tm - Tn; + TH = T4 - T7; + T14 = FMA(T3, T12, T6 * T13); + T24 = FNMS(T6, T12, T3 * T13); + T17 = FMA(T2, T15, T5 * T16); + T25 = FNMS(T5, T15, T2 * T16); + TN = W[6]; + TO = W[7]; + TP = FMA(TN, T3, TO * T6); + TR = FNMS(TO, T3, TN * T6); + } + T18 = T14 + T17; + T26 = T24 - T25; + T29 = T14 - T17; + T2R = T24 + T25; + Tq = FMA(Tk, Tl, To * Tp); + T1r = FMA(TN, T1p, TO * T1q); + T1E = FMA(Tg, T1C, Ti * T1D); + T2k = FNMS(TO, T1p, TN * T1q); + T2g = FNMS(Ti, T1C, Tg * T1D); + { + E T8, Tc, Tt, Tx; + T1O = FNMS(To, Tl, Tk * Tp); + T8 = T4 + T7; + Tc = Ta - Tb; + Te = FNMS(Tc, Td, T8 * T9); + T3c = FMA(Tc, T9, T8 * Td); + Tt = Tr - Ts; + Tx = Tv + Tw; + Tz = FMA(Tt, Tu, Tx * Ty); + T1P = FNMS(Tx, Tu, Tt * Ty); + T1S = FMA(TE, TD, TC * TF); + T1T = FNMS(TJ, TI, TH * TK); + T1U = T1S - T1T; + } + TG = FNMS(TE, TF, TC * TD); + TL = FMA(TH, TI, TJ * TK); + T1V = TG - TL; + T1Y = FMA(TR, TQ, TP * TS); + T1Z = FMA(TW, TV, TU * TX); + T20 = T1Y - T1Z; + TT = FNMS(TR, TS, TP * TQ); + TY = FNMS(TW, TX, TU * TV); + T1X = TT - TY; + { + E T1u, T1F, T1y, T1H; + { + E T1s, T1t, T1w, T1x; + T1s = T2 * TC; + T1t = T5 * TE; + T1u = T1s - T1t; + T1F = T1s + T1t; + T1w = T2 * TE; + T1x = T5 * TC; + T1y = T1w + T1x; + T1H = T1w - T1x; + } + T1A = FMA(T1u, T1v, T1y * T1z); + T2l = FNMS(T1y, T1v, T1u * T1z); + T1J = FNMS(T1H, T1I, T1F * T1G); + T2h = FMA(T1H, T1G, T1F * T1I); + } + { + E T1b, T1i, T1f, T1k; + { + E T19, T1a, T1d, T1e; + T19 = T2 * Tk; + T1a = T5 * To; + T1b = T19 + T1a; + T1i = T19 - T1a; + T1d = T2 * To; + T1e = T5 * Tk; + T1f = T1d - T1e; + T1k = T1d + T1e; + } + T1h = FNMS(T1f, T1g, T1b * T1c); + T2b = FNMS(T1k, T1j, T1i * T1l); + T1m = FMA(T1i, T1j, T1k * T1l); + T2a = FMA(T1f, T1c, T1b * T1g); + } + } + { + E TB, T2L, T10, T3k, T3f, T3l, T2O, T3a, T1o, T36, T2U, T32, T1L, T37, T2Z; + E T33; + { + E Tf, TA, T2M, T2N; + Tf = T1 + Te; + TA = Tq + Tz; + TB = Tf + TA; + T2L = Tf - TA; + { + E TM, TZ, T3b, T3e; + TM = TG + TL; + TZ = TT + TY; + T10 = TM + TZ; + T3k = TZ - TM; + T3b = T1O + T1P; + T3e = T3c + T3d; + T3f = T3b + T3e; + T3l = T3e - T3b; + } + T2M = T1S + T1T; + T2N = T1Y + T1Z; + T2O = T2M - T2N; + T3a = T2M + T2N; + { + E T1n, T2Q, T2S, T2T; + T1n = T1h + T1m; + T2Q = T18 - T1n; + T2S = T2a + T2b; + T2T = T2R - T2S; + T1o = T18 + T1n; + T36 = T2R + T2S; + T2U = T2Q + T2T; + T32 = T2T - T2Q; + } + { + E T1B, T1K, T2V, T2W, T2X, T2Y; + T1B = T1r + T1A; + T1K = T1E + T1J; + T2V = T1B - T1K; + T2W = T2k + T2l; + T2X = T2g + T2h; + T2Y = T2W - T2X; + T1L = T1B + T1K; + T37 = T2W + T2X; + T2Z = T2V - T2Y; + T33 = T2V + T2Y; + } + } + { + E T11, T1M, T39, T3g; + T11 = TB + T10; + T1M = T1o + T1L; + iio[-WS(ios, 8)] = T11 - T1M; + rio[0] = T11 + T1M; + T39 = T36 + T37; + T3g = T3a + T3f; + rio[WS(ios, 8)] = T39 - T3g; + iio[0] = T39 + T3g; + } + { + E T2P, T30, T3j, T3m; + T2P = T2L + T2O; + T30 = KP707106781 * (T2U + T2Z); + iio[-WS(ios, 10)] = T2P - T30; + rio[WS(ios, 2)] = T2P + T30; + T3j = KP707106781 * (T32 + T33); + T3m = T3k + T3l; + rio[WS(ios, 10)] = T3j - T3m; + iio[-WS(ios, 2)] = T3j + T3m; + } + { + E T31, T34, T3n, T3o; + T31 = T2L - T2O; + T34 = KP707106781 * (T32 - T33); + iio[-WS(ios, 14)] = T31 - T34; + rio[WS(ios, 6)] = T31 + T34; + T3n = KP707106781 * (T2Z - T2U); + T3o = T3l - T3k; + rio[WS(ios, 14)] = T3n - T3o; + iio[-WS(ios, 6)] = T3n + T3o; + } + { + E T35, T38, T3h, T3i; + T35 = TB - T10; + T38 = T36 - T37; + iio[-WS(ios, 12)] = T35 - T38; + rio[WS(ios, 4)] = T35 + T38; + T3h = T1L - T1o; + T3i = T3f - T3a; + rio[WS(ios, 12)] = T3h - T3i; + iio[-WS(ios, 4)] = T3h + T3i; + } + } + { + E T1R, T2v, T22, T3q, T3t, T3z, T2y, T3y, T2e, T2I, T2s, T2C, T2p, T2J, T2t; + E T2F; + { + E T1N, T1Q, T2w, T2x; + T1N = T1 - Te; + T1Q = T1O - T1P; + T1R = T1N - T1Q; + T2v = T1N + T1Q; + { + E T1W, T21, T3r, T3s; + T1W = T1U - T1V; + T21 = T1X + T20; + T22 = KP707106781 * (T1W - T21); + T3q = KP707106781 * (T1W + T21); + T3r = T3d - T3c; + T3s = Tq - Tz; + T3t = T3r - T3s; + T3z = T3s + T3r; + } + T2w = T1V + T1U; + T2x = T1X - T20; + T2y = KP707106781 * (T2w + T2x); + T3y = KP707106781 * (T2x - T2w); + { + E T28, T2A, T2d, T2B, T27, T2c; + T27 = T1h - T1m; + T28 = T26 + T27; + T2A = T26 - T27; + T2c = T2a - T2b; + T2d = T29 - T2c; + T2B = T29 + T2c; + T2e = FMA(KP923879532, T28, KP382683432 * T2d); + T2I = FNMS(KP382683432, T2B, KP923879532 * T2A); + T2s = FNMS(KP923879532, T2d, KP382683432 * T28); + T2C = FMA(KP382683432, T2A, KP923879532 * T2B); + } + { + E T2j, T2D, T2o, T2E; + { + E T2f, T2i, T2m, T2n; + T2f = T1r - T1A; + T2i = T2g - T2h; + T2j = T2f - T2i; + T2D = T2f + T2i; + T2m = T2k - T2l; + T2n = T1E - T1J; + T2o = T2m + T2n; + T2E = T2m - T2n; + } + T2p = FNMS(KP923879532, T2o, KP382683432 * T2j); + T2J = FMA(KP923879532, T2E, KP382683432 * T2D); + T2t = FMA(KP382683432, T2o, KP923879532 * T2j); + T2F = FNMS(KP382683432, T2E, KP923879532 * T2D); + } + } + { + E T23, T2q, T3x, T3A; + T23 = T1R + T22; + T2q = T2e + T2p; + iio[-WS(ios, 11)] = T23 - T2q; + rio[WS(ios, 3)] = T23 + T2q; + T3x = T2s + T2t; + T3A = T3y + T3z; + rio[WS(ios, 11)] = T3x - T3A; + iio[-WS(ios, 3)] = T3x + T3A; + } + { + E T2r, T2u, T3B, T3C; + T2r = T1R - T22; + T2u = T2s - T2t; + iio[-WS(ios, 15)] = T2r - T2u; + rio[WS(ios, 7)] = T2r + T2u; + T3B = T2p - T2e; + T3C = T3z - T3y; + rio[WS(ios, 15)] = T3B - T3C; + iio[-WS(ios, 7)] = T3B + T3C; + } + { + E T2z, T2G, T3p, T3u; + T2z = T2v + T2y; + T2G = T2C + T2F; + iio[-WS(ios, 9)] = T2z - T2G; + rio[WS(ios, 1)] = T2z + T2G; + T3p = T2I + T2J; + T3u = T3q + T3t; + rio[WS(ios, 9)] = T3p - T3u; + iio[-WS(ios, 1)] = T3p + T3u; + } + { + E T2H, T2K, T3v, T3w; + T2H = T2v - T2y; + T2K = T2I - T2J; + iio[-WS(ios, 13)] = T2H - T2K; + rio[WS(ios, 5)] = T2H + T2K; + T3v = T2F - T2C; + T3w = T3t - T3q; + rio[WS(ios, 13)] = T3v - T3w; + iio[-WS(ios, 5)] = T3v + T3w; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_COS, 0, 1}, + {TW_SIN, 0, 1}, + {TW_COS, 0, 3}, + {TW_SIN, 0, 3}, + {TW_COS, 0, 9}, + {TW_SIN, 0, 9}, + {TW_COS, 0, 15}, + {TW_SIN, 0, 15}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 16, "hf2_16", twinstr, {156, 68, 40, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf2_16) (planner *p) { + X(khc2hc_dit_register) (p, hf2_16, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf2_32.c b/src/fftw3/rdft/codelets/r2hc/hf2_32.c new file mode 100644 index 0000000..56c7769 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf2_32.c @@ -0,0 +1,853 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:34 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -twiddle-log3 -n 32 -dit -name hf2_32 -include hf.h */ + +/* + * This function contains 488 FP additions, 280 FP multiplications, + * (or, 376 additions, 168 multiplications, 112 fused multiply/add), + * 204 stack variables, and 128 memory accesses + */ +/* + * Generator Id's : + * $Id: hf2_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf2_32(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 8) { + E T1, T3t, T4S, TQ, T3G, T49, T20, T2n, T4y, T1J, T43, T2w, T4z, T36, T4Z; + E TK, T8b, T40, T6l, T3U, T6k, T1h, T3L, T1D, T3V, T1s, T3X, T3E, T7E, T3O; + E T6h, T2k, T6w, T4i, T4x, T3q, T6I, T4O, T4P, T3w, T4T, T4R, T4U, Tm, To; + E TX, T4I, T3a, T3H, T31, T4Y, T3f, T4J, T2G, T4s, T4r, T2B, T4q, T4t, T27; + E T4a, T2M, T4m, T4n, T2P, T4l, T4o, T1U, T44, Tn, Tp, T7G; + T1 = rio[0]; + { + E Tv, T3e, Tz, T3c, T39, TE, TI, T38, TN, T3v, TU, T1l, T3u, TW, T12; + E T35, T1f, T3m, T1b, T3o, T30, T2L, T16, T1k, T33, T2W, TP, T2J, T2D, T1w; + E T1z, T2A, T1B, T2z, T2F, T1u, T2N, T1q, T1I, T2O, T1o, T1G, T2m, T24, T1Z; + E T2r, T1X, T2v, T2l, T26, T2i, T1R, T1T, T2g, T2, Ti, T3, Tc, TF, TC; + E TG, TB, Tu, T1a, T15, Ty, T1t, T1Y, T1W, T1v, TH, T1y, T11, TD, T1A; + E T1e, T4g, T3k, T1n, T1p, T2e, T4M, TM, T1K, T1O, TO, T1L, T1N, Ta, Tb; + E T2t, Tk, T2o, Tf, Tg, T2s, Tj, T2p; + Tv = rio[WS(ios, 8)]; + T3e = iio[-WS(ios, 8)]; + Tz = iio[-WS(ios, 23)]; + T3c = rio[WS(ios, 23)]; + T39 = iio[-WS(ios, 24)]; + TE = rio[WS(ios, 24)]; + TI = iio[-WS(ios, 7)]; + T38 = rio[WS(ios, 7)]; + TN = rio[WS(ios, 4)]; + T3v = iio[-WS(ios, 20)]; + TU = rio[WS(ios, 20)]; + T1l = iio[-WS(ios, 29)]; + T3u = rio[WS(ios, 11)]; + TW = iio[-WS(ios, 11)]; + T12 = rio[WS(ios, 28)]; + T35 = iio[-WS(ios, 16)]; + T1f = iio[-WS(ios, 19)]; + T3m = rio[WS(ios, 19)]; + T1b = rio[WS(ios, 12)]; + T3o = iio[-WS(ios, 12)]; + T30 = iio[0]; + T2L = iio[-WS(ios, 2)]; + T16 = iio[-WS(ios, 3)]; + T1k = rio[WS(ios, 2)]; + T33 = rio[WS(ios, 15)]; + T2W = rio[WS(ios, 31)]; + TP = iio[-WS(ios, 27)]; + T2J = rio[WS(ios, 29)]; + T2D = rio[WS(ios, 21)]; + T1w = iio[-WS(ios, 21)]; + T1z = rio[WS(ios, 26)]; + T2A = iio[-WS(ios, 26)]; + T1B = iio[-WS(ios, 5)]; + T2z = rio[WS(ios, 5)]; + T2F = iio[-WS(ios, 10)]; + T1u = rio[WS(ios, 10)]; + T2N = rio[WS(ios, 13)]; + T1q = iio[-WS(ios, 13)]; + T1I = iio[-WS(ios, 1)]; + T2O = iio[-WS(ios, 18)]; + T1o = rio[WS(ios, 18)]; + T1G = rio[WS(ios, 30)]; + T2m = iio[-WS(ios, 22)]; + T24 = rio[WS(ios, 22)]; + T1Z = iio[-WS(ios, 25)]; + T2r = rio[WS(ios, 25)]; + T1X = rio[WS(ios, 6)]; + T2v = iio[-WS(ios, 6)]; + T2l = rio[WS(ios, 9)]; + T26 = iio[-WS(ios, 9)]; + T2i = iio[-WS(ios, 14)]; + T1R = rio[WS(ios, 14)]; + T1T = iio[-WS(ios, 17)]; + T2g = rio[WS(ios, 17)]; + { + E T2c, T2d, T3s, T3r, T3j, T3i, T4, T7, T5, T8, T6, T9, T14, T1d, Ts; + E T18, T19, T1c, Te, Td, Tt, Tw, T13, TZ, T10, Tx; + T2c = rio[WS(ios, 1)]; + T2d = iio[-WS(ios, 30)]; + T3s = iio[-WS(ios, 4)]; + T3r = rio[WS(ios, 27)]; + T3j = iio[-WS(ios, 28)]; + T3i = rio[WS(ios, 3)]; + T2 = W[6]; + Ti = W[7]; + T3 = W[4]; + Tc = W[5]; + T4 = W[2]; + T7 = W[3]; + T5 = W[0]; + T8 = W[1]; + T6 = T4 * T5; + T9 = T7 * T8; + T14 = Ti * T5; + T1d = Tc * T4; + Ts = T3 * T5; + T18 = T3 * T4; + T19 = Tc * T7; + T1c = T3 * T7; + Te = T7 * T5; + Td = T4 * T8; + Tt = Tc * T8; + Tw = T3 * T8; + TF = T2 * T7; + T13 = T2 * T8; + TC = Ti * T7; + TG = Ti * T4; + TZ = T2 * T5; + T10 = Ti * T8; + TB = T2 * T4; + Tx = Tc * T5; + Tu = Ts + Tt; + T1a = T18 - T19; + T15 = T13 + T14; + Ty = Tw - Tx; + T1t = Ts - Tt; + T1Y = T1c - T1d; + T1W = T18 + T19; + T1v = Tw + Tx; + TH = TF - TG; + T1y = TZ + T10; + T11 = TZ - T10; + TD = TB + TC; + T1A = T13 - T14; + T1e = T1c + T1d; + T3t = FMA(T2, T3r, Ti * T3s); + T4g = FNMS(T8, T2c, T5 * T2d); + T4S = FNMS(Ti, T3r, T2 * T3s); + T3k = FMA(T4, T3i, T7 * T3j); + T1n = FMA(T2, T3, Ti * Tc); + T1p = FNMS(Ti, T3, T2 * Tc); + T2e = FMA(T5, T2c, T8 * T2d); + T4M = FNMS(T7, T3i, T4 * T3j); + TM = T6 - T9; + T1K = T3 * TM; + T1O = Tc * TM; + TO = Td + Te; + T1L = Tc * TO; + T1N = T3 * TO; + Ta = T6 + T9; + Tb = T3 * Ta; + T2t = Ti * Ta; + Tk = Tc * Ta; + T2o = T2 * Ta; + Tf = Td - Te; + Tg = Tc * Tf; + T2s = T2 * Tf; + Tj = T3 * Tf; + T2p = Ti * Tf; + } + TQ = FMA(TM, TN, TO * TP); + T3G = FNMS(TO, TN, TM * TP); + T49 = FMA(T1Y, T1X, T1W * T1Z); + T20 = FNMS(T1Y, T1Z, T1W * T1X); + T2n = FMA(T3, T2l, Tc * T2m); + T4y = FNMS(Tc, T2l, T3 * T2m); + { + E T1F, T1H, TA, TJ; + T1F = TB - TC; + T1H = TF + TG; + T1J = FMA(T1F, T1G, T1H * T1I); + T43 = FNMS(T1H, T1G, T1F * T1I); + { + E T2q, T2u, T32, T34; + T2q = T2o - T2p; + T2u = T2s + T2t; + T2w = FMA(T2q, T2r, T2u * T2v); + T4z = FNMS(T2u, T2r, T2q * T2v); + T32 = FMA(T2, T1a, Ti * T1e); + T34 = FNMS(Ti, T1a, T2 * T1e); + T36 = FNMS(T34, T35, T32 * T33); + T4Z = FMA(T34, T33, T32 * T35); + } + TA = FNMS(Ty, Tz, Tu * Tv); + TJ = FNMS(TH, TI, TD * TE); + TK = TA + TJ; + T8b = TA - TJ; + { + E T3Y, T3Z, T3S, T3T; + T3Y = FNMS(T1v, T1u, T1t * T1w); + T3Z = FMA(T1A, T1z, T1y * T1B); + T40 = T3Y - T3Z; + T6l = T3Y + T3Z; + T3S = FMA(Tf, T1k, Ta * T1l); + T3T = FMA(T1p, T1o, T1n * T1q); + T3U = T3S - T3T; + T6k = T3S + T3T; + } + } + { + E T17, T1g, Th, Tl; + T17 = FMA(T11, T12, T15 * T16); + T1g = FMA(T1a, T1b, T1e * T1f); + T1h = T17 + T1g; + T3L = T17 - T1g; + { + E T1x, T1C, T1m, T1r; + T1x = FMA(T1t, T1u, T1v * T1w); + T1C = FNMS(T1A, T1B, T1y * T1z); + T1D = T1x + T1C; + T3V = T1x - T1C; + T1m = FNMS(Tf, T1l, Ta * T1k); + T1r = FNMS(T1p, T1q, T1n * T1o); + T1s = T1m + T1r; + T3X = T1m - T1r; + } + { + E T3C, T3D, T3M, T3N; + T3C = FMA(Ty, Tv, Tu * Tz); + T3D = FMA(TH, TE, TD * TI); + T3E = T3C - T3D; + T7E = T3C + T3D; + T3M = FNMS(T15, T12, T11 * T16); + T3N = FNMS(T1e, T1b, T1a * T1f); + T3O = T3M - T3N; + T6h = T3M + T3N; + { + E T2j, T4h, T2f, T2h; + T2f = FMA(T2, T1t, Ti * T1v); + T2h = FNMS(Ti, T1t, T2 * T1v); + T2j = FNMS(T2h, T2i, T2f * T2g); + T4h = FMA(T2h, T2g, T2f * T2i); + T2k = T2e + T2j; + T6w = T4g + T4h; + T4i = T4g - T4h; + T4x = T2e - T2j; + } + } + { + E T3p, T4N, T3l, T3n; + T3l = FNMS(Ti, Ty, T2 * Tu); + T3n = FMA(T2, Ty, Ti * Tu); + T3p = FMA(T3l, T3m, T3n * T3o); + T4N = FNMS(T3n, T3m, T3l * T3o); + T3q = T3k + T3p; + T6I = T4M + T4N; + T4O = T4M - T4N; + T4P = T3k - T3p; + } + Th = Tb + Tg; + Tl = Tj - Tk; + T3w = FNMS(Tl, T3v, Th * T3u); + T4T = FMA(Tl, T3u, Th * T3v); + T4R = T3t - T3w; + T4U = T4S - T4T; + Tm = FNMS(Ti, Tl, T2 * Th); + To = FMA(T2, Tl, Ti * Th); + { + E TR, TS, TT, TV; + TR = Tb - Tg; + TS = Tj + Tk; + TT = FMA(T2, TR, Ti * TS); + TV = FNMS(Ti, TR, T2 * TS); + TX = FNMS(TV, TW, TT * TU); + T4I = FNMS(TS, T38, TR * T39); + T3a = FMA(TR, T38, TS * T39); + T3H = FMA(TV, TU, TT * TW); + } + { + E T2V, T3b, T2Z, T3d; + { + E T2T, T2U, T2X, T2Y; + T2T = T2 * TM; + T2U = Ti * TO; + T2V = T2T - T2U; + T3b = T2T + T2U; + T2X = T2 * TO; + T2Y = Ti * TM; + T2Z = T2X + T2Y; + T3d = T2X - T2Y; + } + T31 = FMA(T2V, T2W, T2Z * T30); + T4Y = FNMS(T2Z, T2W, T2V * T30); + T3f = FNMS(T3d, T3e, T3b * T3c); + T4J = FMA(T3d, T3c, T3b * T3e); + } + { + E T23, T25, T1Q, T1S; + { + E T2C, T2E, T21, T22; + T2C = FNMS(Ti, T1Y, T2 * T1W); + T2E = FMA(T2, T1Y, Ti * T1W); + T2G = FMA(T2C, T2D, T2E * T2F); + T4s = FNMS(T2E, T2D, T2C * T2F); + T21 = T1K + T1L; + T22 = T1N - T1O; + T23 = FNMS(Ti, T22, T2 * T21); + T4r = FMA(T22, T2z, T21 * T2A); + T25 = FMA(T2, T22, Ti * T21); + T2B = FNMS(T22, T2A, T21 * T2z); + } + T4q = T2B - T2G; + T4t = T4r - T4s; + T27 = FMA(T23, T24, T25 * T26); + T4a = FNMS(T25, T24, T23 * T26); + { + E T2I, T2K, T1M, T1P; + T2I = T2o + T2p; + T2K = T2s - T2t; + T2M = FNMS(T2K, T2L, T2I * T2J); + T4m = FMA(T2K, T2J, T2I * T2L); + T1M = T1K - T1L; + T1P = T1N + T1O; + T1Q = FMA(T2, T1M, Ti * T1P); + T4n = FNMS(T1P, T2N, T1M * T2O); + T1S = FNMS(Ti, T1M, T2 * T1P); + T2P = FMA(T1M, T2N, T1P * T2O); + } + T4l = T2M - T2P; + T4o = T4m - T4n; + T1U = FNMS(T1S, T1T, T1Q * T1R); + T44 = FMA(T1S, T1R, T1Q * T1T); + } + } + } + Tn = rio[WS(ios, 16)]; + Tp = iio[-WS(ios, 15)]; + T7G = iio[-WS(ios, 31)]; + { + E T1i, T7V, T6i, T7D, T42, T5e, T5A, T60, T6o, T6Y, TL, T6f, T3F, T5t, T7I; + E T8q, T7W, T8c, T3Q, T8p, T5w, T89, T4d, T61, T5f, T5D, T2a, T6t, T7O, T7C; + E T7g, T6Z, T4w, T64, T65, T4F, T5i, T5I, T5L, T5j, T2S, T7l, T7y, T6A, T6F; + E T73, T7i, T72, T4X, T67, T68, T56, T5l, T5P, T5S, T5m, T3z, T7q, T7z, T6L; + E T6Q, T76, T7n, T75; + { + E TY, T6g, T3W, T41; + TY = TQ + TX; + T1i = TY + T1h; + T7V = T1h - TY; + T6g = T3G + T3H; + T6i = T6g - T6h; + T7D = T6g + T6h; + T3W = T3U + T3V; + T41 = T3X - T40; + T42 = FNMS(KP923879532, T41, KP382683432 * T3W); + T5e = FMA(KP923879532, T3W, KP382683432 * T41); + } + { + E T5y, T5z, T6m, T6n; + T5y = T3U - T3V; + T5z = T3X + T40; + T5A = FNMS(KP382683432, T5z, KP923879532 * T5y); + T60 = FMA(KP382683432, T5y, KP923879532 * T5z); + T6m = T6k - T6l; + T6n = T1s - T1D; + T6o = T6m - T6n; + T6Y = T6n + T6m; + } + { + E Tr, T3B, Tq, T7H, T8a, T7F; + Tq = FMA(Tm, Tn, To * Tp); + Tr = T1 + Tq; + T3B = T1 - Tq; + TL = Tr + TK; + T6f = Tr - TK; + T3F = T3B - T3E; + T5t = T3B + T3E; + T7F = FNMS(To, Tn, Tm * Tp); + T7H = T7F + T7G; + T8a = T7G - T7F; + T7I = T7E + T7H; + T8q = T8b + T8a; + T7W = T7H - T7E; + T8c = T8a - T8b; + } + { + E T3P, T5v, T3K, T5u, T3I, T3J; + T3P = T3L + T3O; + T5v = T3L - T3O; + T3I = T3G - T3H; + T3J = TQ - TX; + T3K = T3I - T3J; + T5u = T3J + T3I; + T3Q = KP707106781 * (T3K - T3P); + T8p = KP707106781 * (T5v - T5u); + T5w = KP707106781 * (T5u + T5v); + T89 = KP707106781 * (T3K + T3P); + } + { + E T47, T5B, T4c, T5C; + { + E T45, T46, T48, T4b; + T45 = T43 - T44; + T46 = T20 - T27; + T47 = T45 + T46; + T5B = T45 - T46; + T48 = T1J - T1U; + T4b = T49 - T4a; + T4c = T48 - T4b; + T5C = T48 + T4b; + } + T4d = FMA(KP382683432, T47, KP923879532 * T4c); + T61 = FNMS(KP382683432, T5B, KP923879532 * T5C); + T5f = FNMS(KP923879532, T47, KP382683432 * T4c); + T5D = FMA(KP923879532, T5B, KP382683432 * T5C); + } + { + E T1E, T7e, T29, T6p, T6s, T7f; + T1E = T1s + T1D; + T7e = T6k + T6l; + { + E T1V, T28, T6q, T6r; + T1V = T1J + T1U; + T28 = T20 + T27; + T29 = T1V + T28; + T6p = T1V - T28; + T6q = T43 + T44; + T6r = T49 + T4a; + T6s = T6q - T6r; + T7f = T6q + T6r; + } + T2a = T1E + T29; + T6t = T6p + T6s; + T7O = T29 - T1E; + T7C = T7e + T7f; + T7g = T7e - T7f; + T6Z = T6p - T6s; + } + { + E T4k, T5J, T4B, T5G, T4v, T5H, T4E, T5K, T4j, T4A; + T4j = T2n - T2w; + T4k = T4i + T4j; + T5J = T4i - T4j; + T4A = T4y - T4z; + T4B = T4x - T4A; + T5G = T4x + T4A; + { + E T4p, T4u, T4C, T4D; + T4p = T4l - T4o; + T4u = T4q + T4t; + T4v = KP707106781 * (T4p - T4u); + T5H = KP707106781 * (T4u + T4p); + T4C = T4t - T4q; + T4D = T4l + T4o; + T4E = KP707106781 * (T4C - T4D); + T5K = KP707106781 * (T4C + T4D); + } + T4w = T4k - T4v; + T64 = T5G + T5H; + T65 = T5J + T5K; + T4F = T4B - T4E; + T5i = T4k + T4v; + T5I = T5G - T5H; + T5L = T5J - T5K; + T5j = T4B + T4E; + } + { + E T2y, T6B, T6y, T7j, T2R, T6z, T6E, T7k, T2x, T6x; + T2x = T2n + T2w; + T2y = T2k + T2x; + T6B = T2k - T2x; + T6x = T4y + T4z; + T6y = T6w - T6x; + T7j = T6w + T6x; + { + E T2H, T2Q, T6C, T6D; + T2H = T2B + T2G; + T2Q = T2M + T2P; + T2R = T2H + T2Q; + T6z = T2Q - T2H; + T6C = T4r + T4s; + T6D = T4m + T4n; + T6E = T6C - T6D; + T7k = T6C + T6D; + } + T2S = T2y + T2R; + T7l = T7j - T7k; + T7y = T7j + T7k; + T6A = T6y - T6z; + T6F = T6B - T6E; + T73 = T6B + T6E; + T7i = T2y - T2R; + T72 = T6y + T6z; + } + { + E T4L, T5N, T55, T5O, T4W, T5R, T52, T5Q; + { + E T4H, T4K, T53, T54; + T4H = T31 - T36; + T4K = T4I - T4J; + T4L = T4H - T4K; + T5N = T4H + T4K; + T53 = T4R - T4U; + T54 = T4P + T4O; + T55 = KP707106781 * (T53 - T54); + T5O = KP707106781 * (T54 + T53); + } + { + E T4Q, T4V, T50, T51; + T4Q = T4O - T4P; + T4V = T4R + T4U; + T4W = KP707106781 * (T4Q - T4V); + T5R = KP707106781 * (T4Q + T4V); + T50 = T4Y - T4Z; + T51 = T3a - T3f; + T52 = T50 + T51; + T5Q = T50 - T51; + } + T4X = T4L - T4W; + T67 = T5N + T5O; + T68 = T5Q + T5R; + T56 = T52 - T55; + T5l = T4L + T4W; + T5P = T5N - T5O; + T5S = T5Q - T5R; + T5m = T52 + T55; + } + { + E T3y, T6P, T6K, T7p, T3h, T6H, T6O, T7o, T3x, T6J; + T3x = T3t + T3w; + T3y = T3q + T3x; + T6P = T3x - T3q; + T6J = T4S + T4T; + T6K = T6I - T6J; + T7p = T6I + T6J; + { + E T37, T3g, T6M, T6N; + T37 = T31 + T36; + T3g = T3a + T3f; + T3h = T37 + T3g; + T6H = T37 - T3g; + T6M = T4Y + T4Z; + T6N = T4I + T4J; + T6O = T6M - T6N; + T7o = T6M + T6N; + } + T3z = T3h + T3y; + T7q = T7o - T7p; + T7z = T7o + T7p; + T6L = T6H - T6K; + T6Q = T6O - T6P; + T76 = T6O + T6P; + T7n = T3h - T3y; + T75 = T6H + T6K; + } + { + E T3A, T7A, T2b, T7x, T1j; + T3A = T2S + T3z; + T7A = T7y - T7z; + T1j = TL + T1i; + T2b = T1j + T2a; + T7x = T1j - T2a; + iio[-WS(ios, 16)] = T2b - T3A; + rio[WS(ios, 8)] = T7x + T7A; + rio[0] = T2b + T3A; + iio[-WS(ios, 24)] = T7x - T7A; + } + { + E T7B, T7L, T7K, T7M, T7J; + T7B = T7y + T7z; + T7L = T3z - T2S; + T7J = T7D + T7I; + T7K = T7C + T7J; + T7M = T7J - T7C; + rio[WS(ios, 16)] = T7B - T7K; + iio[-WS(ios, 8)] = T7L + T7M; + iio[0] = T7B + T7K; + rio[WS(ios, 24)] = T7L - T7M; + } + { + E T7h, T7t, T7Q, T7S, T7s, T7R, T7w, T7N, T7d, T7P; + T7d = TL - T1i; + T7h = T7d + T7g; + T7t = T7d - T7g; + T7P = T7I - T7D; + T7Q = T7O + T7P; + T7S = T7P - T7O; + { + E T7m, T7r, T7u, T7v; + T7m = T7i + T7l; + T7r = T7n - T7q; + T7s = KP707106781 * (T7m + T7r); + T7R = KP707106781 * (T7r - T7m); + T7u = T7l - T7i; + T7v = T7n + T7q; + T7w = KP707106781 * (T7u - T7v); + T7N = KP707106781 * (T7u + T7v); + } + iio[-WS(ios, 20)] = T7h - T7s; + rio[WS(ios, 20)] = T7N - T7Q; + rio[WS(ios, 4)] = T7h + T7s; + iio[-WS(ios, 4)] = T7N + T7Q; + iio[-WS(ios, 28)] = T7t - T7w; + rio[WS(ios, 28)] = T7R - T7S; + rio[WS(ios, 12)] = T7t + T7w; + iio[-WS(ios, 12)] = T7R + T7S; + } + { + E T71, T79, T7Y, T80, T78, T7Z, T7c, T7T; + { + E T6X, T70, T7U, T7X; + T6X = T6f + T6i; + T70 = KP707106781 * (T6Y + T6Z); + T71 = T6X + T70; + T79 = T6X - T70; + T7U = KP707106781 * (T6o + T6t); + T7X = T7V + T7W; + T7Y = T7U + T7X; + T80 = T7X - T7U; + } + { + E T74, T77, T7a, T7b; + T74 = FMA(KP382683432, T72, KP923879532 * T73); + T77 = FNMS(KP382683432, T76, KP923879532 * T75); + T78 = T74 + T77; + T7Z = T77 - T74; + T7a = FNMS(KP382683432, T73, KP923879532 * T72); + T7b = FMA(KP923879532, T76, KP382683432 * T75); + T7c = T7a - T7b; + T7T = T7a + T7b; + } + iio[-WS(ios, 18)] = T71 - T78; + rio[WS(ios, 18)] = T7T - T7Y; + rio[WS(ios, 2)] = T71 + T78; + iio[-WS(ios, 2)] = T7T + T7Y; + iio[-WS(ios, 26)] = T79 - T7c; + rio[WS(ios, 26)] = T7Z - T80; + rio[WS(ios, 10)] = T79 + T7c; + iio[-WS(ios, 10)] = T7Z + T80; + } + { + E T4f, T59, T8y, T8A, T58, T8z, T5c, T8v; + { + E T3R, T4e, T8w, T8x; + T3R = T3F - T3Q; + T4e = T42 - T4d; + T4f = T3R + T4e; + T59 = T3R - T4e; + T8w = T5f - T5e; + T8x = T8q - T8p; + T8y = T8w + T8x; + T8A = T8x - T8w; + } + { + E T4G, T57, T5a, T5b; + T4G = FMA(KP980785280, T4w, KP195090322 * T4F); + T57 = FNMS(KP980785280, T56, KP195090322 * T4X); + T58 = T4G + T57; + T8z = T57 - T4G; + T5a = FNMS(KP980785280, T4F, KP195090322 * T4w); + T5b = FMA(KP195090322, T56, KP980785280 * T4X); + T5c = T5a - T5b; + T8v = T5a + T5b; + } + iio[-WS(ios, 23)] = T4f - T58; + rio[WS(ios, 23)] = T8v - T8y; + rio[WS(ios, 7)] = T4f + T58; + iio[-WS(ios, 7)] = T8v + T8y; + iio[-WS(ios, 31)] = T59 - T5c; + rio[WS(ios, 31)] = T8z - T8A; + rio[WS(ios, 15)] = T59 + T5c; + iio[-WS(ios, 15)] = T8z + T8A; + } + { + E T5F, T5V, T8k, T8m, T5U, T8l, T5Y, T8h; + { + E T5x, T5E, T8i, T8j; + T5x = T5t - T5w; + T5E = T5A - T5D; + T5F = T5x + T5E; + T5V = T5x - T5E; + T8i = T61 - T60; + T8j = T8c - T89; + T8k = T8i + T8j; + T8m = T8j - T8i; + } + { + E T5M, T5T, T5W, T5X; + T5M = FMA(KP555570233, T5I, KP831469612 * T5L); + T5T = FNMS(KP831469612, T5S, KP555570233 * T5P); + T5U = T5M + T5T; + T8l = T5T - T5M; + T5W = FNMS(KP831469612, T5I, KP555570233 * T5L); + T5X = FMA(KP831469612, T5P, KP555570233 * T5S); + T5Y = T5W - T5X; + T8h = T5W + T5X; + } + iio[-WS(ios, 21)] = T5F - T5U; + rio[WS(ios, 21)] = T8h - T8k; + rio[WS(ios, 5)] = T5F + T5U; + iio[-WS(ios, 5)] = T8h + T8k; + iio[-WS(ios, 29)] = T5V - T5Y; + rio[WS(ios, 29)] = T8l - T8m; + rio[WS(ios, 13)] = T5V + T5Y; + iio[-WS(ios, 13)] = T8l + T8m; + } + { + E T6v, T6T, T84, T86, T6S, T85, T6W, T81; + { + E T6j, T6u, T82, T83; + T6j = T6f - T6i; + T6u = KP707106781 * (T6o - T6t); + T6v = T6j + T6u; + T6T = T6j - T6u; + T82 = KP707106781 * (T6Z - T6Y); + T83 = T7W - T7V; + T84 = T82 + T83; + T86 = T83 - T82; + } + { + E T6G, T6R, T6U, T6V; + T6G = FMA(KP923879532, T6A, KP382683432 * T6F); + T6R = FNMS(KP923879532, T6Q, KP382683432 * T6L); + T6S = T6G + T6R; + T85 = T6R - T6G; + T6U = FNMS(KP923879532, T6F, KP382683432 * T6A); + T6V = FMA(KP382683432, T6Q, KP923879532 * T6L); + T6W = T6U - T6V; + T81 = T6U + T6V; + } + iio[-WS(ios, 22)] = T6v - T6S; + rio[WS(ios, 22)] = T81 - T84; + rio[WS(ios, 6)] = T6v + T6S; + iio[-WS(ios, 6)] = T81 + T84; + iio[-WS(ios, 30)] = T6T - T6W; + rio[WS(ios, 30)] = T85 - T86; + rio[WS(ios, 14)] = T6T + T6W; + iio[-WS(ios, 14)] = T85 + T86; + } + { + E T5h, T5p, T8s, T8u, T5o, T8t, T5s, T8n; + { + E T5d, T5g, T8o, T8r; + T5d = T3F + T3Q; + T5g = T5e + T5f; + T5h = T5d + T5g; + T5p = T5d - T5g; + T8o = T42 + T4d; + T8r = T8p + T8q; + T8s = T8o + T8r; + T8u = T8r - T8o; + } + { + E T5k, T5n, T5q, T5r; + T5k = FMA(KP555570233, T5i, KP831469612 * T5j); + T5n = FNMS(KP555570233, T5m, KP831469612 * T5l); + T5o = T5k + T5n; + T8t = T5n - T5k; + T5q = FNMS(KP555570233, T5j, KP831469612 * T5i); + T5r = FMA(KP831469612, T5m, KP555570233 * T5l); + T5s = T5q - T5r; + T8n = T5q + T5r; + } + iio[-WS(ios, 19)] = T5h - T5o; + rio[WS(ios, 19)] = T8n - T8s; + rio[WS(ios, 3)] = T5h + T5o; + iio[-WS(ios, 3)] = T8n + T8s; + iio[-WS(ios, 27)] = T5p - T5s; + rio[WS(ios, 27)] = T8t - T8u; + rio[WS(ios, 11)] = T5p + T5s; + iio[-WS(ios, 11)] = T8t + T8u; + } + { + E T63, T6b, T8e, T8g, T6a, T8f, T6e, T87; + { + E T5Z, T62, T88, T8d; + T5Z = T5t + T5w; + T62 = T60 + T61; + T63 = T5Z + T62; + T6b = T5Z - T62; + T88 = T5A + T5D; + T8d = T89 + T8c; + T8e = T88 + T8d; + T8g = T8d - T88; + } + { + E T66, T69, T6c, T6d; + T66 = FMA(KP980785280, T64, KP195090322 * T65); + T69 = FNMS(KP195090322, T68, KP980785280 * T67); + T6a = T66 + T69; + T8f = T69 - T66; + T6c = FNMS(KP195090322, T64, KP980785280 * T65); + T6d = FMA(KP195090322, T67, KP980785280 * T68); + T6e = T6c - T6d; + T87 = T6c + T6d; + } + iio[-WS(ios, 17)] = T63 - T6a; + rio[WS(ios, 17)] = T87 - T8e; + rio[WS(ios, 1)] = T63 + T6a; + iio[-WS(ios, 1)] = T87 + T8e; + iio[-WS(ios, 25)] = T6b - T6e; + rio[WS(ios, 25)] = T8f - T8g; + rio[WS(ios, 9)] = T6b + T6e; + iio[-WS(ios, 9)] = T8f + T8g; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_COS, 0, 1}, + {TW_SIN, 0, 1}, + {TW_COS, 0, 3}, + {TW_SIN, 0, 3}, + {TW_COS, 0, 9}, + {TW_SIN, 0, 9}, + {TW_COS, 0, 27}, + {TW_SIN, 0, 27}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 32, "hf2_32", twinstr, {376, 168, 112, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf2_32) (planner *p) { + X(khc2hc_dit_register) (p, hf2_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf2_4.c b/src/fftw3/rdft/codelets/r2hc/hf2_4.c new file mode 100644 index 0000000..a676143 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf2_4.c @@ -0,0 +1,108 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:26 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -twiddle-log3 -n 4 -dit -name hf2_4 -include hf.h */ + +/* + * This function contains 24 FP additions, 16 FP multiplications, + * (or, 16 additions, 8 multiplications, 8 fused multiply/add), + * 21 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: hf2_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf2_4(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 4) { + E T1, Tp, Ta, Te, To, Tl, Tk, Th; + T1 = rio[0]; + Tp = iio[-WS(ios, 3)]; + { + E T7, Td, T9, Tc, Tg, Tf, T2, T4, T3, T5, T6, T8; + T7 = rio[WS(ios, 2)]; + Td = iio[-WS(ios, 2)]; + T9 = iio[-WS(ios, 1)]; + Tc = rio[WS(ios, 1)]; + Tg = iio[0]; + Tf = rio[WS(ios, 3)]; + T2 = W[2]; + T4 = W[3]; + T3 = W[0]; + T5 = W[1]; + T6 = FMA(T2, T3, T4 * T5); + T8 = FNMS(T4, T3, T2 * T5); + Ta = FNMS(T8, T9, T6 * T7); + Te = FMA(T3, Tc, T5 * Td); + To = FMA(T8, T7, T6 * T9); + Tl = FNMS(T4, Tf, T2 * Tg); + Tk = FNMS(T5, Tc, T3 * Td); + Th = FMA(T2, Tf, T4 * Tg); + } + { + E Tb, Ti, Tn, Tq; + Tb = T1 + Ta; + Ti = Te + Th; + iio[-WS(ios, 2)] = Tb - Ti; + rio[0] = Tb + Ti; + Tn = Tk + Tl; + Tq = To + Tp; + rio[WS(ios, 2)] = Tn - Tq; + iio[0] = Tn + Tq; + } + { + E Tj, Tm, Tr, Ts; + Tj = T1 - Ta; + Tm = Tk - Tl; + iio[-WS(ios, 3)] = Tj - Tm; + rio[WS(ios, 1)] = Tj + Tm; + Tr = Th - Te; + Ts = Tp - To; + rio[WS(ios, 3)] = Tr - Ts; + iio[-WS(ios, 1)] = Tr + Ts; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_COS, 0, 1}, + {TW_SIN, 0, 1}, + {TW_COS, 0, 3}, + {TW_SIN, 0, 3}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 4, "hf2_4", twinstr, {16, 8, 8, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf2_4) (planner *p) { + X(khc2hc_dit_register) (p, hf2_4, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf2_64.c b/src/fftw3/rdft/codelets/r2hc/hf2_64.c new file mode 100644 index 0000000..fc2ec21 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf2_64.c @@ -0,0 +1,1906 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:57 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -twiddle-log3 -n 64 -dit -name hf2_64 -include hf.h */ + +/* + * This function contains 1154 FP additions, 660 FP multiplications, + * (or, 880 additions, 386 multiplications, 274 fused multiply/add), + * 382 stack variables, and 256 memory accesses + */ +/* + * Generator Id's : + * $Id: hf2_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf2_64(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 10) { + E T1, T1g, T91, T7W, T7m, T2O, T4j, T7P, T4P, T8y, T2w, T8t, T2Z, T8e, T48; + E T1z, T7s, T1I, T7t, T8p, Ten, T1Y, T7D, T2t, T7O, T7L, Te6, T3N, T8E, T7A; + E Te0, T4C, TeA, T8S, T9v, T65, Tfi, T9J, Taq, T6K, Tf6, Ta2, Ta5, T73, Tfc; + E Tad, Tag, T3z, T83, T3u, T82, T81, T84, T15, T9K, T68, T7j, T43, T9w, T4F; + E T8G, T5l, TeL, T9k, T9n, T6o, Tf2, T9Q, T9R, T6z, Tf3, T9T, T9W, To, Ts; + E T4o, T8u, T4U, T92, T5a, TeT, T8V, T8Y, T5G, TeG, T97, T9e, T27, T7X, T2T; + E T7E, T7b, Tai, T6T, Ta3, Tf7, Ta8, T7Q, T2H, T2c, T76, Tah, T7F, T4d, T8z; + E TG, TK, T69, T6b, T3b, T87, T5u, T9l, TeM, T9q, T88, T89, T3o, T86, T5P; + E T9f, TeH, T9a, T34, T8f, T1r, T7n, T3S, T8F, T4G, T4I, Tp, T6c, TH, T6a; + E TL, Ti1, T4H, T4J, Tt; + T1 = rio[0]; + { + E T12, T67, T14, T66, T6s, T1b, T1f, T6q, T1m, T6x, T1w, T1q, T6v, T6h, T31; + E T1D, T5I, T1y, T6g, T1S, T6m, T1N, T6W, T6Y, T1M, T6k, T1H, T2Y, T5L, T2W; + E T5N, T2b, T74, T2g, T29, T75, T26, T78, T1W, T22, T7a, T6R, T2u, T6P, T2v; + E T6L, T6M, T2E, T2G, T6I, T5Z, T2n, T63, T6G, T2r, T5H, T33, T5E, T2Q, T5z; + E T5C, T2S, T2M, T5q, T3a, T38, T5s, T2N, T5x, T5n, T3l, T5m, T3n, T5h, T5j; + E T3w, T3y, T58, T4a, T3t, T5d, T3r, T5e, T54, T4c, T4Z, T46, T4T, T4X, T47; + E T4l, T4N, T4i, T4g, T4O, T4n, T4R, T4E, T40, T4D, T42, T4y, T4A, T3J, T3L; + E T3R, T3G, T3E, T3P, T2i, Ta, Ty, Tf, Tw, T2, Tj, T3, Tc, T1E, T1B; + E T1F, T1A, T1R, T3x, T2m, T3K, T61, T1V, T60, T3I, T51, T52, T2V, T56, T5X; + E T3v, T55, T2X, T2q, T5W, T4w, T6E, Ta0, T8Q, Tac, T72, Tb, Tg, Th, T3e; + E T3f, T3h, T1a, T2x, T2B, TU, TV, TY, T1e, T2y, T2A, TC, TD, T1u, Tk; + E Tl, Tm, T39, T3U, T3W, T37, T3T, T3X, TQ, TR, TZ, T3c, T3d, T3i, Tx; + E Tz, T1t, TN, TX, T2f, T5V, Tao, T2h, T3D, T4f, T4h, T3F, T3q, T3s; + T12 = rio[WS(ios, 48)]; + T67 = iio[-WS(ios, 48)]; + T14 = iio[-WS(ios, 15)]; + T66 = rio[WS(ios, 15)]; + T6s = iio[-WS(ios, 8)]; + T1b = rio[WS(ios, 8)]; + T1f = iio[-WS(ios, 55)]; + T6q = rio[WS(ios, 55)]; + T1m = rio[WS(ios, 40)]; + T6x = iio[-WS(ios, 40)]; + T1w = rio[WS(ios, 56)]; + T1q = iio[-WS(ios, 23)]; + T6v = rio[WS(ios, 23)]; + T6h = iio[-WS(ios, 56)]; + T31 = rio[WS(ios, 50)]; + T1D = rio[WS(ios, 24)]; + T5I = iio[-WS(ios, 50)]; + T1y = iio[-WS(ios, 7)]; + T6g = rio[WS(ios, 7)]; + T1S = rio[WS(ios, 36)]; + T6m = iio[-WS(ios, 24)]; + T1N = iio[-WS(ios, 59)]; + T6W = rio[WS(ios, 59)]; + T6Y = iio[-WS(ios, 4)]; + T1M = rio[WS(ios, 4)]; + T6k = rio[WS(ios, 39)]; + T1H = iio[-WS(ios, 39)]; + T2Y = iio[-WS(ios, 45)]; + T5L = rio[WS(ios, 45)]; + T2W = rio[WS(ios, 18)]; + T5N = iio[-WS(ios, 18)]; + T2b = iio[-WS(ios, 11)]; + T74 = rio[WS(ios, 11)]; + T2g = rio[WS(ios, 60)]; + T29 = rio[WS(ios, 52)]; + T75 = iio[-WS(ios, 52)]; + T26 = iio[-WS(ios, 43)]; + T78 = rio[WS(ios, 43)]; + T1W = iio[-WS(ios, 27)]; + T22 = rio[WS(ios, 20)]; + T7a = iio[-WS(ios, 20)]; + T6R = iio[-WS(ios, 12)]; + T2u = rio[WS(ios, 12)]; + T6P = rio[WS(ios, 51)]; + T2v = iio[-WS(ios, 51)]; + T6L = rio[WS(ios, 19)]; + T6M = iio[-WS(ios, 44)]; + T2E = rio[WS(ios, 44)]; + T2G = iio[-WS(ios, 19)]; + T6I = iio[-WS(ios, 28)]; + T5Z = rio[WS(ios, 31)]; + T2n = rio[WS(ios, 28)]; + T63 = iio[-WS(ios, 32)]; + T6G = rio[WS(ios, 35)]; + T2r = iio[-WS(ios, 35)]; + T5H = rio[WS(ios, 13)]; + T33 = iio[-WS(ios, 13)]; + T5E = iio[-WS(ios, 34)]; + T2Q = rio[WS(ios, 34)]; + T5z = iio[-WS(ios, 2)]; + T5C = rio[WS(ios, 29)]; + T2S = iio[-WS(ios, 29)]; + T2M = rio[WS(ios, 2)]; + T5q = rio[WS(ios, 53)]; + T3a = iio[-WS(ios, 53)]; + T38 = rio[WS(ios, 10)]; + T5s = iio[-WS(ios, 10)]; + T2N = iio[-WS(ios, 61)]; + T5x = rio[WS(ios, 61)]; + T5n = iio[-WS(ios, 42)]; + T3l = rio[WS(ios, 42)]; + T5m = rio[WS(ios, 21)]; + T3n = iio[-WS(ios, 21)]; + T5h = rio[WS(ios, 37)]; + T5j = iio[-WS(ios, 26)]; + T3w = rio[WS(ios, 26)]; + T3y = iio[-WS(ios, 37)]; + T58 = iio[-WS(ios, 38)]; + T4a = rio[WS(ios, 38)]; + T3t = iio[-WS(ios, 5)]; + T5d = rio[WS(ios, 5)]; + T3r = rio[WS(ios, 58)]; + T5e = iio[-WS(ios, 58)]; + T54 = rio[WS(ios, 25)]; + T4c = iio[-WS(ios, 25)]; + T4Z = iio[-WS(ios, 6)]; + T46 = rio[WS(ios, 6)]; + T4T = iio[-WS(ios, 22)]; + T4X = rio[WS(ios, 57)]; + T47 = iio[-WS(ios, 57)]; + T4l = rio[WS(ios, 22)]; + T4N = rio[WS(ios, 9)]; + T4i = iio[-WS(ios, 9)]; + T4g = rio[WS(ios, 54)]; + T4O = iio[-WS(ios, 54)]; + T4n = iio[-WS(ios, 41)]; + T4R = rio[WS(ios, 41)]; + T4E = iio[-WS(ios, 46)]; + T40 = rio[WS(ios, 46)]; + T4D = rio[WS(ios, 17)]; + T42 = iio[-WS(ios, 17)]; + T4y = rio[WS(ios, 33)]; + T4A = iio[-WS(ios, 30)]; + T3J = rio[WS(ios, 30)]; + T3L = iio[-WS(ios, 33)]; + T3R = iio[-WS(ios, 49)]; + T3G = iio[-WS(ios, 1)]; + T3E = rio[WS(ios, 62)]; + T3P = rio[WS(ios, 14)]; + T2i = iio[-WS(ios, 3)]; + { + E T4u, T70, T71, T4v, T5T, T6C, T6D, T5U, T4, T7, T5, T8, TO, TP, T1U; + E T2p, T18, T2k, T2l, T2o, TT, TS, T19, T1c, T1T, T1P, T1Q, T1d; + T4u = rio[WS(ios, 1)]; + T70 = rio[WS(ios, 27)]; + T71 = iio[-WS(ios, 36)]; + T4v = iio[-WS(ios, 62)]; + T5T = rio[WS(ios, 63)]; + T6C = rio[WS(ios, 3)]; + T6D = iio[-WS(ios, 60)]; + T5U = iio[0]; + { + E T6, Te, T9, Td; + T4 = W[2]; + T7 = W[3]; + T5 = W[0]; + T8 = W[1]; + T6 = T4 * T5; + Te = T7 * T5; + T9 = T7 * T8; + Td = T4 * T8; + Ta = T6 - T9; + Ty = Td - Te; + Tf = Td + Te; + Tw = T6 + T9; + T2 = W[6]; + Tj = W[7]; + T3 = W[4]; + Tc = W[5]; + TO = T3 * T4; + TP = Tc * T7; + T1U = Tj * T3; + T2p = Tj * T5; + T18 = T3 * T5; + T2k = T2 * T5; + T2l = Tj * T8; + T2o = T2 * T8; + TT = Tc * T4; + TS = T3 * T7; + T19 = Tc * T8; + T1c = T3 * T8; + T1E = T2 * T7; + T1T = T2 * Tc; + T1B = Tj * T7; + T1F = Tj * T4; + T1P = T2 * T3; + T1Q = Tj * Tc; + T1A = T2 * T4; + T1d = Tc * T5; + } + T1R = T1P - T1Q; + T3x = T2o - T2p; + T2m = T2k - T2l; + T3K = T1E + T1F; + T61 = Tj * Ta; + T1V = T1T + T1U; + T60 = T2 * Tf; + T3I = T1A - T1B; + T51 = T2 * Tw; + T52 = Tj * Ty; + T2V = T1P + T1Q; + T56 = Tj * Tw; + T5X = Tj * Tf; + T3v = T2k + T2l; + T55 = T2 * Ty; + T2X = T1T - T1U; + T2q = T2o + T2p; + T5W = T2 * Ta; + T4w = FMA(T5, T4u, T8 * T4v); + T6E = FMA(T4, T6C, T7 * T6D); + Ta0 = FNMS(T7, T6C, T4 * T6D); + T8Q = FNMS(T8, T4u, T5 * T4v); + Tac = FNMS(Tj, T70, T2 * T71); + T72 = FMA(T2, T70, Tj * T71); + Tb = T3 * Ta; + Tg = Tc * Tf; + Th = Tb + Tg; + T3e = TS - TT; + T3f = Tj * T3e; + T3h = T2 * T3e; + T1a = T18 + T19; + T2x = T2 * T1a; + T2B = Tj * T1a; + TU = TS + TT; + TV = Tj * TU; + TY = T2 * TU; + T1e = T1c - T1d; + T2y = Tj * T1e; + T2A = T2 * T1e; + TC = T3 * Ty; + TD = Tc * Tw; + T1u = TC + TD; + Tk = T3 * Tf; + Tl = Tc * Ta; + Tm = Tk - Tl; + T39 = T1c + T1d; + T3U = Tj * T39; + T3W = T2 * T39; + T37 = T18 - T19; + T3T = T2 * T37; + T3X = Tj * T37; + TQ = TO - TP; + TR = T2 * TQ; + TZ = Tj * TQ; + T3c = TO + TP; + T3d = T2 * T3c; + T3i = Tj * T3c; + Tx = T3 * Tw; + Tz = Tc * Ty; + T1t = Tx - Tz; + TN = W[8]; + TX = W[9]; + T2f = FMA(TN, T4, TX * T7); + T5V = FMA(TN, T5T, TX * T5U); + Tao = FNMS(TX, T5T, TN * T5U); + T2h = FNMS(TX, T4, TN * T7); + T3D = FMA(TN, T5, TX * T8); + T4f = FMA(TN, T3, TX * Tc); + T4h = FNMS(TX, T3, TN * Tc); + T3F = FNMS(TX, T5, TN * T8); + } + T1g = FNMS(T1e, T1f, T1a * T1b); + T91 = FNMS(Tc, T4N, T3 * T4O); + T7W = FMA(Ty, T2M, Tw * T2N); + T7m = FMA(T1e, T1b, T1a * T1f); + T2O = FNMS(Ty, T2N, Tw * T2M); + T4j = FNMS(T4h, T4i, T4f * T4g); + T7P = FNMS(TU, T2u, TQ * T2v); + T4P = FMA(T3, T4N, Tc * T4O); + T8y = FMA(T3e, T46, T3c * T47); + T2w = FMA(TQ, T2u, TU * T2v); + { + E T1v, T1x, T1O, T1X; + T8t = FMA(T4h, T4g, T4f * T4i); + T2Z = FNMS(T2X, T2Y, T2V * T2W); + T8e = FMA(T2X, T2W, T2V * T2Y); + T48 = FNMS(T3e, T47, T3c * T46); + T1v = FMA(TN, T1t, TX * T1u); + T1x = FNMS(TX, T1t, TN * T1u); + T1z = FNMS(T1x, T1y, T1v * T1w); + T7s = FMA(T1x, T1w, T1v * T1y); + { + E T1C, T1G, T8n, T8o; + T1C = T1A + T1B; + T1G = T1E - T1F; + T1I = FNMS(T1G, T1H, T1C * T1D); + T7t = FMA(T1G, T1D, T1C * T1H); + T8n = FMA(T3F, T3E, T3D * T3G); + T8o = FNMS(T3K, T3J, T3I * T3L); + T8p = T8n - T8o; + Ten = T8n + T8o; + } + T1O = FMA(Ta, T1M, Tf * T1N); + T1X = FMA(T1R, T1S, T1V * T1W); + T1Y = T1O + T1X; + T7D = T1O - T1X; + { + E T2j, T2s, T7J, T7K; + T2j = FNMS(T2h, T2i, T2f * T2g); + T2s = FMA(T2m, T2n, T2q * T2r); + T2t = T2j + T2s; + T7O = T2j - T2s; + T7J = FMA(T2h, T2g, T2f * T2i); + T7K = FNMS(T2q, T2n, T2m * T2r); + T7L = T7J - T7K; + Te6 = T7J + T7K; + } + } + { + E T3H, T3M, T7y, T7z; + T3H = FNMS(T3F, T3G, T3D * T3E); + T3M = FMA(T3I, T3J, T3K * T3L); + T3N = T3H + T3M; + T8E = T3H - T3M; + T7y = FNMS(Tf, T1M, Ta * T1N); + T7z = FNMS(T1V, T1S, T1R * T1W); + T7A = T7y - T7z; + Te0 = T7y + T7z; + } + { + E T4B, T8R, T4x, T4z; + T4x = T3d + T3f; + T4z = T3h - T3i; + T4B = FNMS(T4z, T4A, T4x * T4y); + T8R = FMA(T4z, T4y, T4x * T4A); + T4C = T4w + T4B; + TeA = T8Q + T8R; + T8S = T8Q - T8R; + T9v = T4w - T4B; + } + { + E T64, Tap, T5Y, T62; + T5Y = T5W - T5X; + T62 = T60 + T61; + T64 = FMA(T5Y, T5Z, T62 * T63); + Tap = FNMS(T62, T5Z, T5Y * T63); + T65 = T5V + T64; + Tfi = Tao + Tap; + T9J = T5V - T64; + Taq = Tao - Tap; + } + { + E T6J, Ta1, T6F, T6H; + T6F = T2x + T2y; + T6H = T2A - T2B; + T6J = FNMS(T6H, T6I, T6F * T6G); + Ta1 = FMA(T6H, T6G, T6F * T6I); + T6K = T6E + T6J; + Tf6 = Ta0 + Ta1; + Ta2 = Ta0 - Ta1; + Ta5 = T6E - T6J; + } + { + E T6Z, Tab, T6V, T6X; + T6V = FMA(TN, Ta, TX * Tf); + T6X = FNMS(TX, Ta, TN * Tf); + T6Z = FNMS(T6X, T6Y, T6V * T6W); + Tab = FMA(T6X, T6W, T6V * T6Y); + T73 = T6Z + T72; + Tfc = Tab + Tac; + Tad = Tab - Tac; + Tag = T6Z - T72; + } + T3z = FNMS(T3x, T3y, T3v * T3w); + T83 = FMA(T3x, T3w, T3v * T3y); + T3q = FNMS(TX, Tm, TN * Th); + T3s = FMA(TN, Tm, TX * Th); + T3u = FMA(T3q, T3r, T3s * T3t); + T82 = FNMS(T3s, T3r, T3q * T3t); + T81 = T3u - T3z; + T84 = T82 - T83; + { + E TW, T10, T11, T13; + TW = TR + TV; + T10 = TY - TZ; + T11 = FNMS(TX, T10, TN * TW); + T13 = FMA(TN, T10, TX * TW); + T15 = FMA(T11, T12, T13 * T14); + T9K = FMA(T10, T66, TW * T67); + T68 = FNMS(T10, T67, TW * T66); + T7j = FNMS(T13, T12, T11 * T14); + } + { + E T3V, T3Y, T3Z, T41; + T3V = T3T + T3U; + T3Y = T3W - T3X; + T3Z = FNMS(TX, T3Y, TN * T3V); + T41 = FMA(TN, T3Y, TX * T3V); + T43 = FMA(T3Z, T40, T41 * T42); + T9w = FMA(T3Y, T4D, T3V * T4E); + T4F = FNMS(T3Y, T4E, T3V * T4D); + T8G = FNMS(T41, T40, T3Z * T42); + } + { + E T5f, T9i, T5k, T9j, T5g, T5i; + T5f = FNMS(Tm, T5e, Th * T5d); + T9i = FMA(Tm, T5d, Th * T5e); + T5g = T3T - T3U; + T5i = T3W + T3X; + T5k = FMA(T5g, T5h, T5i * T5j); + T9j = FNMS(T5i, T5h, T5g * T5j); + T5l = T5f + T5k; + TeL = T9i + T9j; + T9k = T9i - T9j; + T9n = T5f - T5k; + } + { + E T6i, T9O, T6n, T9P, T6j, T6l; + T6i = FMA(T1t, T6g, T1u * T6h); + T9O = FNMS(T1u, T6g, T1t * T6h); + T6j = TR - TV; + T6l = TY + TZ; + T6n = FMA(T6j, T6k, T6l * T6m); + T9P = FNMS(T6l, T6k, T6j * T6m); + T6o = T6i + T6n; + Tf2 = T9O + T9P; + T9Q = T9O - T9P; + T9R = T6i - T6n; + } + { + E T6t, T9U, T6y, T9V; + { + E T6p, T6r, T6u, T6w; + T6p = FNMS(TX, T1e, TN * T1a); + T6r = FMA(TN, T1e, TX * T1a); + T6t = FMA(T6p, T6q, T6r * T6s); + T9U = FNMS(T6r, T6q, T6p * T6s); + T6u = T5W + T5X; + T6w = T60 - T61; + T6y = FNMS(T6w, T6x, T6u * T6v); + T9V = FMA(T6w, T6v, T6u * T6x); + } + T6z = T6t + T6y; + Tf3 = T9U + T9V; + T9T = T6t - T6y; + T9W = T9U - T9V; + } + { + E Ti, Tn, T4k, Tq, Tr, T4m, T4Q, T4S; + Ti = T2 * Th; + Tn = Tj * Tm; + T4k = Ti - Tn; + Tq = T2 * Tm; + Tr = Tj * Th; + T4m = Tq + Tr; + To = Ti + Tn; + Ts = Tq - Tr; + T4o = FMA(T4k, T4l, T4m * T4n); + T8u = FNMS(T4m, T4l, T4k * T4n); + T4Q = FMA(TN, T4k, TX * T4m); + T4S = FNMS(TX, T4k, TN * T4m); + T4U = FNMS(T4S, T4T, T4Q * T4R); + T92 = FMA(T4S, T4R, T4Q * T4T); + } + { + E T50, T8W, T59, T8X; + { + E T4W, T4Y, T53, T57; + T4W = FNMS(TX, T3e, TN * T3c); + T4Y = FMA(TN, T3e, TX * T3c); + T50 = FMA(T4W, T4X, T4Y * T4Z); + T8W = FNMS(T4Y, T4X, T4W * T4Z); + T53 = T51 - T52; + T57 = T55 + T56; + T59 = FMA(T53, T54, T57 * T58); + T8X = FNMS(T57, T54, T53 * T58); + } + T5a = T50 + T59; + TeT = T8W + T8X; + T8V = T50 - T59; + T8Y = T8W - T8X; + } + { + E T5A, T9c, T5F, T9d; + { + E T5w, T5y, T5B, T5D; + T5w = FNMS(TX, Ty, TN * Tw); + T5y = FMA(TN, Ty, TX * Tw); + T5A = FMA(T5w, T5x, T5y * T5z); + T9c = FNMS(T5y, T5x, T5w * T5z); + T5B = T51 + T52; + T5D = T55 - T56; + T5F = FNMS(T5D, T5E, T5B * T5C); + T9d = FMA(T5D, T5C, T5B * T5E); + } + T5G = T5A + T5F; + TeG = T9c + T9d; + T97 = T5A - T5F; + T9e = T9c - T9d; + } + { + E T21, T2P, T25, T2R, T77, T79; + { + E T1Z, T20, T23, T24; + T1Z = T2 * T1t; + T20 = Tj * T1u; + T21 = T1Z + T20; + T2P = T1Z - T20; + T23 = T2 * T1u; + T24 = Tj * T1t; + T25 = T23 - T24; + T2R = T23 + T24; + } + T27 = FNMS(T25, T26, T21 * T22); + T7X = FNMS(T2R, T2Q, T2P * T2S); + T2T = FMA(T2P, T2Q, T2R * T2S); + T7E = FMA(T25, T22, T21 * T26); + T77 = FNMS(TX, T25, TN * T21); + T79 = FMA(TN, T25, TX * T21); + T7b = FMA(T77, T78, T79 * T7a); + Tai = FNMS(T79, T78, T77 * T7a); + } + { + E T6S, Ta7, T2D, Ta6, T2F, T6N; + { + E T6O, T6Q, T2z, T2C; + T6O = FMA(TN, TQ, TX * TU); + T6Q = FNMS(TX, TQ, TN * TU); + T6S = FNMS(T6Q, T6R, T6O * T6P); + Ta7 = FMA(T6Q, T6P, T6O * T6R); + T2z = T2x - T2y; + T2C = T2A + T2B; + T2D = FMA(TN, T2z, TX * T2C); + Ta6 = FNMS(T2C, T6L, T2z * T6M); + T2F = FNMS(TX, T2z, TN * T2C); + T6N = FMA(T2z, T6L, T2C * T6M); + } + T6T = T6N + T6S; + Ta3 = T6N - T6S; + Tf7 = Ta6 + Ta7; + Ta8 = Ta6 - Ta7; + T7Q = FMA(T2F, T2E, T2D * T2G); + T2H = FNMS(T2F, T2G, T2D * T2E); + } + { + E TA, TE, TB, TF, TJ, TI, T2a, T28, T49, T4b; + TA = Tx + Tz; + TE = TC - TD; + TB = T2 * TA; + TF = Tj * TE; + TJ = Tj * TA; + TI = T2 * TE; + T2a = FMA(TN, TE, TX * TA); + T28 = FNMS(TX, TE, TN * TA); + T2c = FMA(T28, T29, T2a * T2b); + T76 = FNMS(TE, T75, TA * T74); + Tah = FMA(TE, T74, TA * T75); + T7F = FNMS(T2a, T29, T28 * T2b); + T49 = TB + TF; + T4b = TI - TJ; + T4d = FNMS(T4b, T4c, T49 * T4a); + T8z = FMA(T4b, T4a, T49 * T4c); + TG = TB - TF; + TK = TI + TJ; + T69 = FMA(TN, TG, TX * TK); + T6b = FNMS(TX, TG, TN * TK); + } + { + E T5t, T9p, T3k, T9o, T3m, T5o; + T3b = FMA(T37, T38, T39 * T3a); + T87 = FNMS(T39, T38, T37 * T3a); + { + E T5p, T5r, T3g, T3j; + T5p = FMA(TN, T37, TX * T39); + T5r = FNMS(TX, T37, TN * T39); + T5t = FNMS(T5r, T5s, T5p * T5q); + T9p = FMA(T5r, T5q, T5p * T5s); + T3g = T3d - T3f; + T3j = T3h + T3i; + T3k = FMA(TN, T3g, TX * T3j); + T9o = FNMS(T3j, T5m, T3g * T5n); + T3m = FNMS(TX, T3g, TN * T3j); + T5o = FMA(T3g, T5m, T3j * T5n); + } + T5u = T5o + T5t; + T9l = T5o - T5t; + TeM = T9o + T9p; + T9q = T9o - T9p; + T88 = FMA(T3m, T3l, T3k * T3n); + T89 = T87 - T88; + T3o = FNMS(T3m, T3n, T3k * T3l); + T86 = T3b - T3o; + } + { + E T5O, T99, T1i, T1n, T1o, T1k, T30, T5J, T98, T32; + { + E T5K, T5M, T1h, T1j; + T5K = FNMS(TX, T2X, TN * T2V); + T5M = FMA(TN, T2X, TX * T2V); + T5O = FMA(T5K, T5L, T5M * T5N); + T99 = FNMS(T5M, T5L, T5K * T5N); + T1h = Tb - Tg; + T1j = Tk + Tl; + T1i = T2 * T1h; + T1n = T2 * T1j; + T1o = Tj * T1h; + T1k = Tj * T1j; + T30 = FMA(TN, T1h, TX * T1j); + T5J = FMA(T1h, T5H, T1j * T5I); + T98 = FNMS(T1j, T5H, T1h * T5I); + T32 = FNMS(TX, T1h, TN * T1j); + } + T5P = T5J + T5O; + T9f = T5J - T5O; + TeH = T98 + T99; + T9a = T98 - T99; + T34 = FNMS(T32, T33, T30 * T31); + T8f = FMA(T32, T31, T30 * T33); + { + E T1l, T1p, T3O, T3Q; + T1l = T1i - T1k; + T1p = T1n + T1o; + T1r = FMA(T1l, T1m, T1p * T1q); + T7n = FNMS(T1p, T1m, T1l * T1q); + T3O = T1i + T1k; + T3Q = T1n - T1o; + T3S = FNMS(T3Q, T3R, T3O * T3P); + T8F = FMA(T3Q, T3P, T3O * T3R); + T4G = FNMS(TX, T3Q, TN * T3O); + T4I = FMA(TN, T3Q, TX * T3O); + } + } + } + Tp = rio[WS(ios, 32)]; + T6c = iio[-WS(ios, 16)]; + TH = rio[WS(ios, 16)]; + T6a = rio[WS(ios, 47)]; + TL = iio[-WS(ios, 47)]; + Ti1 = iio[-WS(ios, 63)]; + T4H = rio[WS(ios, 49)]; + T4J = iio[-WS(ios, 14)]; + Tt = iio[-WS(ios, 31)]; + { + E T5R, TgT, TgY, ThE, T9t, Tbe, T9G, Tbb, Tcl, Tdq, Tcs, Tdn, TeP, Tg4, TeY; + E Tg1, T7e, Th4, ThJ, Th9, Tfp, Tg8, Tfg, Tgb, T2K, TgC, Tih, ThX, TfQ, TiL; + E Tea, Tiv, Tam, Tbl, TcL, Tdu, Taz, Tbi, TcE, Tdx, T7U, Tjv, Tdc, Tjh, Tb0; + E TjL, TbU, TiZ, T8D, Tb5, Tc8, Tdi, T8M, Tb6, Tc5, Tdh, T4r, Thz, Tex, Tfz; + E TfX, Tgl, TgN, Thj, T8m, TaI, Tdg, TdG, Tb4, Tbu, Tc2, TcU, T3C, Thy, Tem; + E Tfy, TfU, Tgk, TgI, Thi, T6B, Th1, Tfm, Tga, Th8, ThI, T9Z, Tbh, Taw, Tbk; + E TcI, Tdw, Tf5, Tg7, Tcx, Tdt, T5c, TgV, TeV, Tg0, TgS, ThD, TeE, Tg3, T96; + E Tbd, Tce, Tdp, Tcp, Tdm, T9D, Tba, T1L, Tgz, Ti4, Tii, Tiy, TiM, TdZ, TfN; + E T7x, TaX, Tj4, Tji, Tjy, TjM, TbN, Td9; + { + E T5v, T5Q, TgW, TgX; + T5v = T5l + T5u; + T5Q = T5G + T5P; + T5R = T5v + T5Q; + TgT = T5Q - T5v; + TgW = TeL + TeM; + TgX = TeG + TeH; + TgY = TgW - TgX; + ThE = TgW + TgX; + } + { + E T9h, T9F, T9s, T9E; + { + E T9b, T9g, T9m, T9r; + T9b = T97 - T9a; + T9g = T9e + T9f; + T9h = FNMS(KP923879532, T9g, KP382683432 * T9b); + T9F = FMA(KP382683432, T9g, KP923879532 * T9b); + T9m = T9k + T9l; + T9r = T9n - T9q; + T9s = FMA(KP923879532, T9m, KP382683432 * T9r); + T9E = FNMS(KP923879532, T9r, KP382683432 * T9m); + } + T9t = T9h - T9s; + Tbe = T9E + T9F; + T9G = T9E - T9F; + Tbb = T9s + T9h; + } + { + E Tch, Tcr, Tck, Tcq; + { + E Tcf, Tcg, Tci, Tcj; + Tcf = T97 + T9a; + Tcg = T9e - T9f; + Tch = FNMS(KP382683432, Tcg, KP923879532 * Tcf); + Tcr = FMA(KP923879532, Tcg, KP382683432 * Tcf); + Tci = T9k - T9l; + Tcj = T9n + T9q; + Tck = FMA(KP382683432, Tci, KP923879532 * Tcj); + Tcq = FNMS(KP382683432, Tcj, KP923879532 * Tci); + } + Tcl = Tch - Tck; + Tdq = Tcq + Tcr; + Tcs = Tcq - Tcr; + Tdn = Tck + Tch; + } + { + E TeJ, TeX, TeO, TeW; + { + E TeF, TeI, TeK, TeN; + TeF = T5G - T5P; + TeI = TeG - TeH; + TeJ = TeF - TeI; + TeX = TeF + TeI; + TeK = T5l - T5u; + TeN = TeL - TeM; + TeO = TeK + TeN; + TeW = TeN - TeK; + } + TeP = KP707106781 * (TeJ - TeO); + Tg4 = KP707106781 * (TeW + TeX); + TeY = KP707106781 * (TeW - TeX); + Tg1 = KP707106781 * (TeO + TeJ); + } + { + E T6U, Th2, T7d, Tfb, Tfe, Th3, Tfa, Tfo, Tfn, Tff; + T6U = T6K + T6T; + Th2 = Tf6 + Tf7; + { + E T7c, Tfd, Tf8, Tf9; + T7c = T76 + T7b; + T7d = T73 + T7c; + Tfb = T73 - T7c; + Tfd = Tah + Tai; + Tfe = Tfc - Tfd; + Th3 = Tfc + Tfd; + Tf8 = Tf6 - Tf7; + Tf9 = T6K - T6T; + Tfa = Tf8 - Tf9; + Tfo = Tf9 + Tf8; + } + T7e = T6U + T7d; + Th4 = Th2 - Th3; + ThJ = Th2 + Th3; + Th9 = T7d - T6U; + Tfn = Tfb - Tfe; + Tfp = KP707106781 * (Tfn - Tfo); + Tg8 = KP707106781 * (Tfo + Tfn); + Tff = Tfb + Tfe; + Tfg = KP707106781 * (Tfa - Tff); + Tgb = KP707106781 * (Tfa + Tff); + } + { + E T2e, Te3, Te8, TgB, T2J, Te5, Te2, TgA; + { + E T2d, Te7, T2I, Te1; + T2d = T27 + T2c; + T2e = T1Y + T2d; + Te3 = T1Y - T2d; + Te7 = T7P + T7Q; + Te8 = Te6 - Te7; + TgB = Te6 + Te7; + T2I = T2w + T2H; + T2J = T2t + T2I; + Te5 = T2t - T2I; + Te1 = T7E + T7F; + Te2 = Te0 - Te1; + TgA = Te0 + Te1; + } + T2K = T2e + T2J; + TgC = TgA - TgB; + Tih = T2J - T2e; + ThX = TgA + TgB; + { + E TfO, TfP, Te4, Te9; + TfO = Te3 + Te2; + TfP = Te5 - Te8; + TfQ = KP707106781 * (TfO + TfP); + TiL = KP707106781 * (TfP - TfO); + Te4 = Te2 - Te3; + Te9 = Te5 + Te8; + Tea = KP707106781 * (Te4 - Te9); + Tiv = KP707106781 * (Te4 + Te9); + } + } + { + E Taf, TcB, Tak, TcC, Taa, Tay, TcA, TcK, Tae, Taj; + Tae = T76 - T7b; + Taf = Tad + Tae; + TcB = Tad - Tae; + Taj = Tah - Tai; + Tak = Tag - Taj; + TcC = Tag + Taj; + { + E Ta4, Ta9, Tcy, Tcz; + Ta4 = Ta2 + Ta3; + Ta9 = Ta5 - Ta8; + Taa = FNMS(KP923879532, Ta9, KP382683432 * Ta4); + Tay = FMA(KP923879532, Ta4, KP382683432 * Ta9); + Tcy = Ta2 - Ta3; + Tcz = Ta5 + Ta8; + TcA = FNMS(KP382683432, Tcz, KP923879532 * Tcy); + TcK = FMA(KP382683432, Tcy, KP923879532 * Tcz); + } + { + E Tal, TcJ, Tax, TcD; + Tal = FMA(KP382683432, Taf, KP923879532 * Tak); + Tam = Taa - Tal; + Tbl = Taa + Tal; + TcJ = FNMS(KP382683432, TcB, KP923879532 * TcC); + TcL = TcJ - TcK; + Tdu = TcK + TcJ; + Tax = FNMS(KP923879532, Taf, KP382683432 * Tak); + Taz = Tax - Tay; + Tbi = Tay + Tax; + TcD = FMA(KP923879532, TcB, KP382683432 * TcC); + TcE = TcA - TcD; + Tdx = TcA + TcD; + } + } + { + E T7C, TbO, T7S, TbS, T7H, TbP, T7N, TbR; + { + E T7B, T7R, T7G, T7M; + T7B = T27 - T2c; + T7C = T7A + T7B; + TbO = T7A - T7B; + T7R = T7P - T7Q; + T7S = T7O - T7R; + TbS = T7O + T7R; + T7G = T7E - T7F; + T7H = T7D - T7G; + TbP = T7D + T7G; + T7M = T2w - T2H; + T7N = T7L + T7M; + TbR = T7L - T7M; + } + { + E T7I, T7T, Tda, Tdb; + T7I = FNMS(KP923879532, T7H, KP382683432 * T7C); + T7T = FMA(KP382683432, T7N, KP923879532 * T7S); + T7U = T7I - T7T; + Tjv = T7I + T7T; + Tda = FMA(KP382683432, TbO, KP923879532 * TbP); + Tdb = FNMS(KP382683432, TbR, KP923879532 * TbS); + Tdc = Tda + Tdb; + Tjh = Tdb - Tda; + } + { + E TaY, TaZ, TbQ, TbT; + TaY = FMA(KP923879532, T7C, KP382683432 * T7H); + TaZ = FNMS(KP923879532, T7N, KP382683432 * T7S); + Tb0 = TaY + TaZ; + TjL = TaZ - TaY; + TbQ = FNMS(KP382683432, TbP, KP923879532 * TbO); + TbT = FMA(KP923879532, TbR, KP382683432 * TbS); + TbU = TbQ - TbT; + TiZ = TbQ + TbT; + } + } + { + E T8r, Tc6, T8I, Tc3, T8w, T8K, T8B, T8J, T8q, T8H; + T8q = T3S - T43; + T8r = T8p + T8q; + Tc6 = T8p - T8q; + T8H = T8F - T8G; + T8I = T8E - T8H; + Tc3 = T8E + T8H; + { + E T8s, T8v, T8x, T8A; + T8s = T4j - T4o; + T8v = T8t - T8u; + T8w = T8s - T8v; + T8K = T8s + T8v; + T8x = T48 - T4d; + T8A = T8y - T8z; + T8B = T8x + T8A; + T8J = T8A - T8x; + } + { + E T8C, Tc7, T8L, Tc4; + T8C = KP707106781 * (T8w - T8B); + T8D = T8r - T8C; + Tb5 = T8r + T8C; + Tc7 = KP707106781 * (T8J + T8K); + Tc8 = Tc6 - Tc7; + Tdi = Tc6 + Tc7; + T8L = KP707106781 * (T8J - T8K); + T8M = T8I - T8L; + Tb6 = T8I + T8L; + Tc4 = KP707106781 * (T8B + T8w); + Tc5 = Tc3 - Tc4; + Tdh = Tc3 + Tc4; + } + } + { + E T45, Tes, Tep, TgK, T4q, Teq, Tev, TgL, T44, Teo, Ter, Tew; + T44 = T3S + T43; + T45 = T3N + T44; + Tes = T3N - T44; + Teo = T8F + T8G; + Tep = Ten - Teo; + TgK = Ten + Teo; + { + E T4e, T4p, Tet, Teu; + T4e = T48 + T4d; + T4p = T4j + T4o; + T4q = T4e + T4p; + Teq = T4p - T4e; + Tet = T8y + T8z; + Teu = T8t + T8u; + Tev = Tet - Teu; + TgL = Tet + Teu; + } + T4r = T45 + T4q; + Thz = TgK + TgL; + Ter = Tep - Teq; + Tew = Tes - Tev; + Tex = FMA(KP382683432, Ter, KP923879532 * Tew); + Tfz = FNMS(KP923879532, Ter, KP382683432 * Tew); + { + E TfV, TfW, TgJ, TgM; + TfV = Tep + Teq; + TfW = Tes + Tev; + TfX = FMA(KP923879532, TfV, KP382683432 * TfW); + Tgl = FNMS(KP382683432, TfV, KP923879532 * TfW); + TgJ = T45 - T4q; + TgM = TgK - TgL; + TgN = TgJ + TgM; + Thj = TgJ - TgM; + } + } + { + E T80, TbW, T8k, TbX, T8b, Tc0, T8h, TbZ; + { + E T7Y, T7Z, T8i, T8j; + T7Y = T7W - T7X; + T7Z = T2Z - T34; + T80 = T7Y + T7Z; + TbW = T7Y - T7Z; + T8i = T89 - T86; + T8j = T81 + T84; + T8k = KP707106781 * (T8i - T8j); + TbX = KP707106781 * (T8i + T8j); + } + { + E T85, T8a, T8d, T8g; + T85 = T81 - T84; + T8a = T86 + T89; + T8b = KP707106781 * (T85 - T8a); + Tc0 = KP707106781 * (T8a + T85); + T8d = T2O - T2T; + T8g = T8e - T8f; + T8h = T8d - T8g; + TbZ = T8d + T8g; + } + { + E T8c, T8l, Tde, Tdf; + T8c = T80 - T8b; + T8l = T8h - T8k; + T8m = FNMS(KP980785280, T8l, KP195090322 * T8c); + TaI = FMA(KP980785280, T8c, KP195090322 * T8l); + Tde = TbW + TbX; + Tdf = TbZ + Tc0; + Tdg = FNMS(KP195090322, Tdf, KP980785280 * Tde); + TdG = FMA(KP980785280, Tdf, KP195090322 * Tde); + } + { + E Tb2, Tb3, TbY, Tc1; + Tb2 = T80 + T8b; + Tb3 = T8h + T8k; + Tb4 = FNMS(KP555570233, Tb3, KP831469612 * Tb2); + Tbu = FMA(KP555570233, Tb2, KP831469612 * Tb3); + TbY = TbW - TbX; + Tc1 = TbZ - Tc0; + Tc2 = FNMS(KP831469612, Tc1, KP555570233 * TbY); + TcU = FMA(KP555570233, Tc1, KP831469612 * TbY); + } + } + { + E T36, Teh, Tek, TgF, T3B, Tef, Tee, TgE, Teg, Tel; + { + E T2U, T35, Tei, Tej; + T2U = T2O + T2T; + T35 = T2Z + T34; + T36 = T2U + T35; + Teh = T2U - T35; + Tei = T87 + T88; + Tej = T82 + T83; + Tek = Tei - Tej; + TgF = Tei + Tej; + } + { + E T3p, T3A, Tec, Ted; + T3p = T3b + T3o; + T3A = T3u + T3z; + T3B = T3p + T3A; + Tef = T3A - T3p; + Tec = T7W + T7X; + Ted = T8e + T8f; + Tee = Tec - Ted; + TgE = Tec + Ted; + } + T3C = T36 + T3B; + Thy = TgE + TgF; + Teg = Tee - Tef; + Tel = Teh - Tek; + Tem = FNMS(KP923879532, Tel, KP382683432 * Teg); + Tfy = FMA(KP923879532, Teg, KP382683432 * Tel); + { + E TfS, TfT, TgG, TgH; + TfS = Tee + Tef; + TfT = Teh + Tek; + TfU = FNMS(KP382683432, TfT, KP923879532 * TfS); + Tgk = FMA(KP382683432, TfS, KP923879532 * TfT); + TgG = TgE - TgF; + TgH = T36 - T3B; + TgI = TgG - TgH; + Thi = TgH + TgG; + } + } + { + E T6A, Tfl, Th7, Tf4, T6e, Tar, T9Y, TcH, Tav, Tcw, T9M, Tfj; + T6A = T6o + T6z; + Tfl = T6z - T6o; + Th7 = Tf2 + Tf3; + Tf4 = Tf2 - Tf3; + { + E T6d, T9S, T9X, Tat, Tau, T9L; + T6d = FNMS(T6b, T6c, T69 * T6a); + T6e = T68 + T6d; + Tar = T68 - T6d; + T9S = T9Q - T9R; + T9X = T9T + T9W; + T9Y = KP707106781 * (T9S - T9X); + TcH = KP707106781 * (T9S + T9X); + Tat = T9T - T9W; + Tau = T9R + T9Q; + Tav = KP707106781 * (Tat - Tau); + Tcw = KP707106781 * (Tau + Tat); + T9L = FMA(T6b, T6a, T69 * T6c); + T9M = T9K - T9L; + Tfj = T9K + T9L; + } + { + E T6f, Tfk, Th6, T9N; + T6f = T65 + T6e; + T6B = T6f + T6A; + Th1 = T6f - T6A; + Tfk = Tfi - Tfj; + Tfm = Tfk - Tfl; + Tga = Tfk + Tfl; + Th6 = Tfi + Tfj; + Th8 = Th6 - Th7; + ThI = Th6 + Th7; + T9N = T9J - T9M; + T9Z = T9N - T9Y; + Tbh = T9N + T9Y; + } + { + E Tas, TcG, Tf1, Tcv; + Tas = Taq + Tar; + Taw = Tas - Tav; + Tbk = Tas + Tav; + TcG = Taq - Tar; + TcI = TcG - TcH; + Tdw = TcG + TcH; + Tf1 = T65 - T6e; + Tf5 = Tf1 - Tf4; + Tg7 = Tf1 + Tf4; + Tcv = T9J + T9M; + Tcx = Tcv - Tcw; + Tdt = Tcv + Tcw; + } + } + { + E T8Z, T9B, T5b, TeD, TeU, TgR, T94, T9A, T4L, T8T, T9y, TeB, T4V; + T8Z = T8V - T8Y; + T9B = T8V + T8Y; + T4V = T4P + T4U; + T5b = T4V + T5a; + TeD = T5a - T4V; + { + E TeS, T90, T93, T4K, T9x; + TeS = T91 + T92; + TeU = TeS - TeT; + TgR = TeS + TeT; + T90 = T4P - T4U; + T93 = T91 - T92; + T94 = T90 + T93; + T9A = T93 - T90; + T4K = FMA(T4G, T4H, T4I * T4J); + T4L = T4F + T4K; + T8T = T4F - T4K; + T9x = FNMS(T4I, T4H, T4G * T4J); + T9y = T9w - T9x; + TeB = T9w + T9x; + } + { + E T4M, TeR, TgQ, TeC; + T4M = T4C + T4L; + T5c = T4M + T5b; + TgV = T4M - T5b; + TeR = T4C - T4L; + TeV = TeR - TeU; + Tg0 = TeR + TeU; + TgQ = TeA + TeB; + TgS = TgQ - TgR; + ThD = TgQ + TgR; + TeC = TeA - TeB; + TeE = TeC - TeD; + Tg3 = TeC + TeD; + } + { + E T8U, T95, Tcc, Tcd; + T8U = T8S + T8T; + T95 = KP707106781 * (T8Z - T94); + T96 = T8U - T95; + Tbd = T8U + T95; + Tcc = T8S - T8T; + Tcd = KP707106781 * (T9A + T9B); + Tce = Tcc - Tcd; + Tdp = Tcc + Tcd; + } + { + E Tcn, Tco, T9z, T9C; + Tcn = T9v + T9y; + Tco = KP707106781 * (T94 + T8Z); + Tcp = Tcn - Tco; + Tdm = Tcn + Tco; + T9z = T9v - T9y; + T9C = KP707106781 * (T9A - T9B); + T9D = T9z - T9C; + Tba = T9z + T9C; + } + } + { + E Tv, T7h, TdY, ThY, Ti2, Tj1, T16, Tj2, T1K, Tiw, T7q, TbK, T7v, TbL, T7k; + E ThZ, T7r, T7u, T7i; + { + E Tu, TdW, TdX, Ti0, TM; + Tu = FNMS(Ts, Tt, To * Tp); + Tv = T1 + Tu; + T7h = T1 - Tu; + TdW = T7m + T7n; + TdX = T7s + T7t; + TdY = TdW - TdX; + ThY = TdW + TdX; + Ti0 = FMA(Ts, Tp, To * Tt); + Ti2 = Ti0 + Ti1; + Tj1 = Ti1 - Ti0; + TM = FMA(TG, TH, TK * TL); + T16 = TM + T15; + Tj2 = TM - T15; + } + { + E T1s, T1J, T7o, T7p; + T1s = T1g + T1r; + T1J = T1z + T1I; + T1K = T1s + T1J; + Tiw = T1J - T1s; + T7o = T7m - T7n; + T7p = T1g - T1r; + T7q = T7o - T7p; + TbK = T7p + T7o; + } + T7r = T1z - T1I; + T7u = T7s - T7t; + T7v = T7r + T7u; + TbL = T7r - T7u; + T7i = FNMS(TK, TH, TG * TL); + T7k = T7i - T7j; + ThZ = T7i + T7j; + { + E T17, Ti3, Tix, TdV; + T17 = Tv + T16; + T1L = T17 + T1K; + Tgz = T17 - T1K; + Ti3 = ThZ + Ti2; + Ti4 = ThY + Ti3; + Tii = Ti3 - ThY; + Tix = Ti2 - ThZ; + Tiy = Tiw + Tix; + TiM = Tix - Tiw; + TdV = Tv - T16; + TdZ = TdV - TdY; + TfN = TdV + TdY; + } + { + E T7l, T7w, Tj0, Tj3; + T7l = T7h - T7k; + T7w = KP707106781 * (T7q - T7v); + T7x = T7l - T7w; + TaX = T7l + T7w; + Tj0 = KP707106781 * (T7q + T7v); + Tj3 = Tj1 - Tj2; + Tj4 = Tj0 + Tj3; + Tji = Tj3 - Tj0; + } + { + E Tjw, Tjx, TbJ, TbM; + Tjw = KP707106781 * (TbL - TbK); + Tjx = Tj2 + Tj1; + Tjy = Tjw + Tjx; + TjM = Tjx - Tjw; + TbJ = T7h + T7k; + TbM = KP707106781 * (TbK + TbL); + TbN = TbJ - TbM; + Td9 = TbJ + TbM; + } + } + { + E T4t, ThR, Ti6, Ti8, T7g, Ti7, ThU, ThV; + { + E T2L, T4s, ThW, Ti5; + T2L = T1L + T2K; + T4s = T3C + T4r; + T4t = T2L + T4s; + ThR = T2L - T4s; + ThW = Thy + Thz; + Ti5 = ThX + Ti4; + Ti6 = ThW + Ti5; + Ti8 = Ti5 - ThW; + } + { + E T5S, T7f, ThS, ThT; + T5S = T5c + T5R; + T7f = T6B + T7e; + T7g = T5S + T7f; + Ti7 = T7f - T5S; + ThS = ThD + ThE; + ThT = ThI + ThJ; + ThU = ThS - ThT; + ThV = ThS + ThT; + } + iio[-WS(ios, 32)] = T4t - T7g; + rio[WS(ios, 32)] = ThV - Ti6; + rio[0] = T4t + T7g; + iio[0] = ThV + Ti6; + iio[-WS(ios, 48)] = ThR - ThU; + rio[WS(ios, 48)] = Ti7 - Ti8; + rio[WS(ios, 16)] = ThR + ThU; + iio[-WS(ios, 16)] = Ti7 + Ti8; + } + { + E ThB, ThN, Tic, Tie, ThG, ThO, ThL, ThP; + { + E Thx, ThA, Tia, Tib; + Thx = T1L - T2K; + ThA = Thy - Thz; + ThB = Thx + ThA; + ThN = Thx - ThA; + Tia = T4r - T3C; + Tib = Ti4 - ThX; + Tic = Tia + Tib; + Tie = Tib - Tia; + } + { + E ThC, ThF, ThH, ThK; + ThC = T5c - T5R; + ThF = ThD - ThE; + ThG = ThC + ThF; + ThO = ThF - ThC; + ThH = T6B - T7e; + ThK = ThI - ThJ; + ThL = ThH - ThK; + ThP = ThH + ThK; + } + { + E ThM, Ti9, ThQ, Tid; + ThM = KP707106781 * (ThG + ThL); + iio[-WS(ios, 40)] = ThB - ThM; + rio[WS(ios, 8)] = ThB + ThM; + Ti9 = KP707106781 * (ThO + ThP); + rio[WS(ios, 40)] = Ti9 - Tic; + iio[-WS(ios, 8)] = Ti9 + Tic; + ThQ = KP707106781 * (ThO - ThP); + iio[-WS(ios, 56)] = ThN - ThQ; + rio[WS(ios, 24)] = ThN + ThQ; + Tid = KP707106781 * (ThL - ThG); + rio[WS(ios, 56)] = Tid - Tie; + iio[-WS(ios, 24)] = Tid + Tie; + } + } + { + E TgP, Thd, Tiq, Tis, Th0, The, Thb, Thf; + { + E TgD, TgO, Tio, Tip; + TgD = Tgz - TgC; + TgO = KP707106781 * (TgI - TgN); + TgP = TgD + TgO; + Thd = TgD - TgO; + Tio = KP707106781 * (Thj - Thi); + Tip = Tii - Tih; + Tiq = Tio + Tip; + Tis = Tip - Tio; + } + { + E TgU, TgZ, Th5, Tha; + TgU = TgS - TgT; + TgZ = TgV - TgY; + Th0 = FMA(KP923879532, TgU, KP382683432 * TgZ); + The = FNMS(KP923879532, TgZ, KP382683432 * TgU); + Th5 = Th1 - Th4; + Tha = Th8 - Th9; + Thb = FNMS(KP923879532, Tha, KP382683432 * Th5); + Thf = FMA(KP382683432, Tha, KP923879532 * Th5); + } + { + E Thc, Tin, Thg, Tir; + Thc = Th0 + Thb; + iio[-WS(ios, 44)] = TgP - Thc; + rio[WS(ios, 12)] = TgP + Thc; + Tin = The + Thf; + rio[WS(ios, 44)] = Tin - Tiq; + iio[-WS(ios, 12)] = Tin + Tiq; + Thg = The - Thf; + iio[-WS(ios, 60)] = Thd - Thg; + rio[WS(ios, 28)] = Thd + Thg; + Tir = Thb - Th0; + rio[WS(ios, 60)] = Tir - Tis; + iio[-WS(ios, 28)] = Tir + Tis; + } + } + { + E TfB, TfJ, TiO, TiQ, TfE, TfK, TfH, TfL; + { + E Tfx, TfA, TiK, TiN; + Tfx = TdZ + Tea; + TfA = Tfy + Tfz; + TfB = Tfx + TfA; + TfJ = Tfx - TfA; + TiK = Tem + Tex; + TiN = TiL + TiM; + TiO = TiK + TiN; + TiQ = TiN - TiK; + } + { + E TfC, TfD, TfF, TfG; + TfC = TeE + TeP; + TfD = TeV + TeY; + TfE = FMA(KP555570233, TfC, KP831469612 * TfD); + TfK = FNMS(KP555570233, TfD, KP831469612 * TfC); + TfF = Tf5 + Tfg; + TfG = Tfm + Tfp; + TfH = FNMS(KP555570233, TfG, KP831469612 * TfF); + TfL = FMA(KP831469612, TfG, KP555570233 * TfF); + } + { + E TfI, TiJ, TfM, TiP; + TfI = TfE + TfH; + iio[-WS(ios, 38)] = TfB - TfI; + rio[WS(ios, 6)] = TfB + TfI; + TiJ = TfK + TfL; + rio[WS(ios, 38)] = TiJ - TiO; + iio[-WS(ios, 6)] = TiJ + TiO; + TfM = TfK - TfL; + iio[-WS(ios, 54)] = TfJ - TfM; + rio[WS(ios, 22)] = TfJ + TfM; + TiP = TfH - TfE; + rio[WS(ios, 54)] = TiP - TiQ; + iio[-WS(ios, 22)] = TiP + TiQ; + } + } + { + E Thl, Tht, Tik, Tim, Tho, Thu, Thr, Thv; + { + E Thh, Thk, Tig, Tij; + Thh = Tgz + TgC; + Thk = KP707106781 * (Thi + Thj); + Thl = Thh + Thk; + Tht = Thh - Thk; + Tig = KP707106781 * (TgI + TgN); + Tij = Tih + Tii; + Tik = Tig + Tij; + Tim = Tij - Tig; + } + { + E Thm, Thn, Thp, Thq; + Thm = TgS + TgT; + Thn = TgV + TgY; + Tho = FMA(KP382683432, Thm, KP923879532 * Thn); + Thu = FNMS(KP382683432, Thn, KP923879532 * Thm); + Thp = Th1 + Th4; + Thq = Th8 + Th9; + Thr = FNMS(KP382683432, Thq, KP923879532 * Thp); + Thv = FMA(KP923879532, Thq, KP382683432 * Thp); + } + { + E Ths, Tif, Thw, Til; + Ths = Tho + Thr; + iio[-WS(ios, 36)] = Thl - Ths; + rio[WS(ios, 4)] = Thl + Ths; + Tif = Thu + Thv; + rio[WS(ios, 36)] = Tif - Tik; + iio[-WS(ios, 4)] = Tif + Tik; + Thw = Thu - Thv; + iio[-WS(ios, 52)] = Tht - Thw; + rio[WS(ios, 20)] = Tht + Thw; + Til = Thr - Tho; + rio[WS(ios, 52)] = Til - Tim; + iio[-WS(ios, 20)] = Til + Tim; + } + } + { + E Tez, Tft, TiU, TiW, Tf0, Tfu, Tfr, Tfv; + { + E Teb, Tey, TiS, TiT; + Teb = TdZ - Tea; + Tey = Tem - Tex; + Tez = Teb + Tey; + Tft = Teb - Tey; + TiS = Tfz - Tfy; + TiT = TiM - TiL; + TiU = TiS + TiT; + TiW = TiT - TiS; + } + { + E TeQ, TeZ, Tfh, Tfq; + TeQ = TeE - TeP; + TeZ = TeV - TeY; + Tf0 = FMA(KP980785280, TeQ, KP195090322 * TeZ); + Tfu = FNMS(KP980785280, TeZ, KP195090322 * TeQ); + Tfh = Tf5 - Tfg; + Tfq = Tfm - Tfp; + Tfr = FNMS(KP980785280, Tfq, KP195090322 * Tfh); + Tfv = FMA(KP195090322, Tfq, KP980785280 * Tfh); + } + { + E Tfs, TiR, Tfw, TiV; + Tfs = Tf0 + Tfr; + iio[-WS(ios, 46)] = Tez - Tfs; + rio[WS(ios, 14)] = Tez + Tfs; + TiR = Tfu + Tfv; + rio[WS(ios, 46)] = TiR - TiU; + iio[-WS(ios, 14)] = TiR + TiU; + Tfw = Tfu - Tfv; + iio[-WS(ios, 62)] = Tft - Tfw; + rio[WS(ios, 30)] = Tft + Tfw; + TiV = Tfr - Tf0; + rio[WS(ios, 62)] = TiV - TiW; + iio[-WS(ios, 30)] = TiV + TiW; + } + } + { + E TfZ, Tgf, TiG, TiI, Tg6, Tgg, Tgd, Tgh; + { + E TfR, TfY, TiE, TiF; + TfR = TfN - TfQ; + TfY = TfU - TfX; + TfZ = TfR + TfY; + Tgf = TfR - TfY; + TiE = Tgl - Tgk; + TiF = Tiy - Tiv; + TiG = TiE + TiF; + TiI = TiF - TiE; + } + { + E Tg2, Tg5, Tg9, Tgc; + Tg2 = Tg0 - Tg1; + Tg5 = Tg3 - Tg4; + Tg6 = FMA(KP555570233, Tg2, KP831469612 * Tg5); + Tgg = FNMS(KP831469612, Tg2, KP555570233 * Tg5); + Tg9 = Tg7 - Tg8; + Tgc = Tga - Tgb; + Tgd = FNMS(KP831469612, Tgc, KP555570233 * Tg9); + Tgh = FMA(KP831469612, Tg9, KP555570233 * Tgc); + } + { + E Tge, TiD, Tgi, TiH; + Tge = Tg6 + Tgd; + iio[-WS(ios, 42)] = TfZ - Tge; + rio[WS(ios, 10)] = TfZ + Tge; + TiD = Tgg + Tgh; + rio[WS(ios, 42)] = TiD - TiG; + iio[-WS(ios, 10)] = TiD + TiG; + Tgi = Tgg - Tgh; + iio[-WS(ios, 58)] = Tgf - Tgi; + rio[WS(ios, 26)] = Tgf + Tgi; + TiH = Tgd - Tg6; + rio[WS(ios, 58)] = TiH - TiI; + iio[-WS(ios, 26)] = TiH + TiI; + } + } + { + E Tgn, Tgv, TiA, TiC, Tgq, Tgw, Tgt, Tgx; + { + E Tgj, Tgm, Tiu, Tiz; + Tgj = TfN + TfQ; + Tgm = Tgk + Tgl; + Tgn = Tgj + Tgm; + Tgv = Tgj - Tgm; + Tiu = TfU + TfX; + Tiz = Tiv + Tiy; + TiA = Tiu + Tiz; + TiC = Tiz - Tiu; + } + { + E Tgo, Tgp, Tgr, Tgs; + Tgo = Tg0 + Tg1; + Tgp = Tg3 + Tg4; + Tgq = FMA(KP980785280, Tgo, KP195090322 * Tgp); + Tgw = FNMS(KP195090322, Tgo, KP980785280 * Tgp); + Tgr = Tg7 + Tg8; + Tgs = Tga + Tgb; + Tgt = FNMS(KP195090322, Tgs, KP980785280 * Tgr); + Tgx = FMA(KP195090322, Tgr, KP980785280 * Tgs); + } + { + E Tgu, Tit, Tgy, TiB; + Tgu = Tgq + Tgt; + iio[-WS(ios, 34)] = Tgn - Tgu; + rio[WS(ios, 2)] = Tgn + Tgu; + Tit = Tgw + Tgx; + rio[WS(ios, 34)] = Tit - TiA; + iio[-WS(ios, 2)] = Tit + TiA; + Tgy = Tgw - Tgx; + iio[-WS(ios, 50)] = Tgv - Tgy; + rio[WS(ios, 18)] = Tgv + Tgy; + TiB = Tgt - Tgq; + rio[WS(ios, 50)] = TiB - TiC; + iio[-WS(ios, 18)] = TiB + TiC; + } + } + { + E T7V, TjN, TjT, TaH, T8O, TjK, TaK, TjS, TaO, TaU, T9I, TaE, TaR, TaV, TaB; + E TaF, T8N; + T7V = T7x - T7U; + TjN = TjL + TjM; + TjT = TjM - TjL; + TaH = T7x + T7U; + T8N = FMA(KP195090322, T8D, KP980785280 * T8M); + T8O = T8m - T8N; + TjK = T8m + T8N; + { + E TaJ, TaM, TaN, T9u, T9H; + TaJ = FNMS(KP980785280, T8D, KP195090322 * T8M); + TaK = TaI + TaJ; + TjS = TaJ - TaI; + TaM = T96 + T9t; + TaN = T9D + T9G; + TaO = FMA(KP634393284, TaM, KP773010453 * TaN); + TaU = FNMS(KP634393284, TaN, KP773010453 * TaM); + T9u = T96 - T9t; + T9H = T9D - T9G; + T9I = FMA(KP995184726, T9u, KP098017140 * T9H); + TaE = FNMS(KP995184726, T9H, KP098017140 * T9u); + { + E TaP, TaQ, Tan, TaA; + TaP = T9Z + Tam; + TaQ = Taw + Taz; + TaR = FNMS(KP634393284, TaQ, KP773010453 * TaP); + TaV = FMA(KP773010453, TaQ, KP634393284 * TaP); + Tan = T9Z - Tam; + TaA = Taw - Taz; + TaB = FNMS(KP995184726, TaA, KP098017140 * Tan); + TaF = FMA(KP098017140, TaA, KP995184726 * Tan); + } + } + { + E T8P, TaC, TjR, TjU; + T8P = T7V + T8O; + TaC = T9I + TaB; + iio[-WS(ios, 47)] = T8P - TaC; + rio[WS(ios, 15)] = T8P + TaC; + TjR = TaE + TaF; + TjU = TjS + TjT; + rio[WS(ios, 47)] = TjR - TjU; + iio[-WS(ios, 15)] = TjR + TjU; + } + { + E TaD, TaG, TjV, TjW; + TaD = T7V - T8O; + TaG = TaE - TaF; + iio[-WS(ios, 63)] = TaD - TaG; + rio[WS(ios, 31)] = TaD + TaG; + TjV = TaB - T9I; + TjW = TjT - TjS; + rio[WS(ios, 63)] = TjV - TjW; + iio[-WS(ios, 31)] = TjV + TjW; + } + { + E TaL, TaS, TjJ, TjO; + TaL = TaH + TaK; + TaS = TaO + TaR; + iio[-WS(ios, 39)] = TaL - TaS; + rio[WS(ios, 7)] = TaL + TaS; + TjJ = TaU + TaV; + TjO = TjK + TjN; + rio[WS(ios, 39)] = TjJ - TjO; + iio[-WS(ios, 7)] = TjJ + TjO; + } + { + E TaT, TaW, TjP, TjQ; + TaT = TaH - TaK; + TaW = TaU - TaV; + iio[-WS(ios, 55)] = TaT - TaW; + rio[WS(ios, 23)] = TaT + TaW; + TjP = TaR - TaO; + TjQ = TjN - TjK; + rio[WS(ios, 55)] = TjP - TjQ; + iio[-WS(ios, 23)] = TjP + TjQ; + } + } + { + E TbV, Tjj, Tjp, TcT, Tca, Tjg, TcW, Tjo, Td0, Td6, Tcu, TcQ, Td3, Td7, TcN; + E TcR, Tc9; + TbV = TbN - TbU; + Tjj = Tjh + Tji; + Tjp = Tji - Tjh; + TcT = TbN + TbU; + Tc9 = FMA(KP831469612, Tc5, KP555570233 * Tc8); + Tca = Tc2 - Tc9; + Tjg = Tc2 + Tc9; + { + E TcV, TcY, TcZ, Tcm, Tct; + TcV = FNMS(KP831469612, Tc8, KP555570233 * Tc5); + TcW = TcU + TcV; + Tjo = TcV - TcU; + TcY = Tce + Tcl; + TcZ = Tcp + Tcs; + Td0 = FMA(KP471396736, TcY, KP881921264 * TcZ); + Td6 = FNMS(KP471396736, TcZ, KP881921264 * TcY); + Tcm = Tce - Tcl; + Tct = Tcp - Tcs; + Tcu = FMA(KP956940335, Tcm, KP290284677 * Tct); + TcQ = FNMS(KP956940335, Tct, KP290284677 * Tcm); + { + E Td1, Td2, TcF, TcM; + Td1 = Tcx + TcE; + Td2 = TcI + TcL; + Td3 = FNMS(KP471396736, Td2, KP881921264 * Td1); + Td7 = FMA(KP881921264, Td2, KP471396736 * Td1); + TcF = Tcx - TcE; + TcM = TcI - TcL; + TcN = FNMS(KP956940335, TcM, KP290284677 * TcF); + TcR = FMA(KP290284677, TcM, KP956940335 * TcF); + } + } + { + E Tcb, TcO, Tjn, Tjq; + Tcb = TbV + Tca; + TcO = Tcu + TcN; + iio[-WS(ios, 45)] = Tcb - TcO; + rio[WS(ios, 13)] = Tcb + TcO; + Tjn = TcQ + TcR; + Tjq = Tjo + Tjp; + rio[WS(ios, 45)] = Tjn - Tjq; + iio[-WS(ios, 13)] = Tjn + Tjq; + } + { + E TcP, TcS, Tjr, Tjs; + TcP = TbV - Tca; + TcS = TcQ - TcR; + iio[-WS(ios, 61)] = TcP - TcS; + rio[WS(ios, 29)] = TcP + TcS; + Tjr = TcN - Tcu; + Tjs = Tjp - Tjo; + rio[WS(ios, 61)] = Tjr - Tjs; + iio[-WS(ios, 29)] = Tjr + Tjs; + } + { + E TcX, Td4, Tjf, Tjk; + TcX = TcT + TcW; + Td4 = Td0 + Td3; + iio[-WS(ios, 37)] = TcX - Td4; + rio[WS(ios, 5)] = TcX + Td4; + Tjf = Td6 + Td7; + Tjk = Tjg + Tjj; + rio[WS(ios, 37)] = Tjf - Tjk; + iio[-WS(ios, 5)] = Tjf + Tjk; + } + { + E Td5, Td8, Tjl, Tjm; + Td5 = TcT - TcW; + Td8 = Td6 - Td7; + iio[-WS(ios, 53)] = Td5 - Td8; + rio[WS(ios, 21)] = Td5 + Td8; + Tjl = Td3 - Td0; + Tjm = Tjj - Tjg; + rio[WS(ios, 53)] = Tjl - Tjm; + iio[-WS(ios, 21)] = Tjl + Tjm; + } + } + { + E Tb1, Tjz, TjF, Tbt, Tb8, Tju, Tbw, TjE, TbA, TbG, Tbg, Tbq, TbD, TbH, Tbn; + E Tbr, Tb7; + Tb1 = TaX - Tb0; + Tjz = Tjv + Tjy; + TjF = Tjy - Tjv; + Tbt = TaX + Tb0; + Tb7 = FMA(KP831469612, Tb5, KP555570233 * Tb6); + Tb8 = Tb4 - Tb7; + Tju = Tb4 + Tb7; + { + E Tbv, Tby, Tbz, Tbc, Tbf; + Tbv = FNMS(KP555570233, Tb5, KP831469612 * Tb6); + Tbw = Tbu + Tbv; + TjE = Tbv - Tbu; + Tby = Tba + Tbb; + Tbz = Tbd + Tbe; + TbA = FMA(KP956940335, Tby, KP290284677 * Tbz); + TbG = FNMS(KP290284677, Tby, KP956940335 * Tbz); + Tbc = Tba - Tbb; + Tbf = Tbd - Tbe; + Tbg = FMA(KP471396736, Tbc, KP881921264 * Tbf); + Tbq = FNMS(KP881921264, Tbc, KP471396736 * Tbf); + { + E TbB, TbC, Tbj, Tbm; + TbB = Tbh + Tbi; + TbC = Tbk + Tbl; + TbD = FNMS(KP290284677, TbC, KP956940335 * TbB); + TbH = FMA(KP290284677, TbB, KP956940335 * TbC); + Tbj = Tbh - Tbi; + Tbm = Tbk - Tbl; + Tbn = FNMS(KP881921264, Tbm, KP471396736 * Tbj); + Tbr = FMA(KP881921264, Tbj, KP471396736 * Tbm); + } + } + { + E Tb9, Tbo, TjD, TjG; + Tb9 = Tb1 + Tb8; + Tbo = Tbg + Tbn; + iio[-WS(ios, 43)] = Tb9 - Tbo; + rio[WS(ios, 11)] = Tb9 + Tbo; + TjD = Tbq + Tbr; + TjG = TjE + TjF; + rio[WS(ios, 43)] = TjD - TjG; + iio[-WS(ios, 11)] = TjD + TjG; + } + { + E Tbp, Tbs, TjH, TjI; + Tbp = Tb1 - Tb8; + Tbs = Tbq - Tbr; + iio[-WS(ios, 59)] = Tbp - Tbs; + rio[WS(ios, 27)] = Tbp + Tbs; + TjH = Tbn - Tbg; + TjI = TjF - TjE; + rio[WS(ios, 59)] = TjH - TjI; + iio[-WS(ios, 27)] = TjH + TjI; + } + { + E Tbx, TbE, Tjt, TjA; + Tbx = Tbt + Tbw; + TbE = TbA + TbD; + iio[-WS(ios, 35)] = Tbx - TbE; + rio[WS(ios, 3)] = Tbx + TbE; + Tjt = TbG + TbH; + TjA = Tju + Tjz; + rio[WS(ios, 35)] = Tjt - TjA; + iio[-WS(ios, 3)] = Tjt + TjA; + } + { + E TbF, TbI, TjB, TjC; + TbF = Tbt - Tbw; + TbI = TbG - TbH; + iio[-WS(ios, 51)] = TbF - TbI; + rio[WS(ios, 19)] = TbF + TbI; + TjB = TbD - TbA; + TjC = Tjz - Tju; + rio[WS(ios, 51)] = TjB - TjC; + iio[-WS(ios, 19)] = TjB + TjC; + } + } + { + E Tdd, Tj5, Tjb, TdF, Tdk, TiY, TdI, Tja, TdM, TdS, Tds, TdC, TdP, TdT, Tdz; + E TdD, Tdj; + Tdd = Td9 - Tdc; + Tj5 = TiZ + Tj4; + Tjb = Tj4 - TiZ; + TdF = Td9 + Tdc; + Tdj = FMA(KP195090322, Tdh, KP980785280 * Tdi); + Tdk = Tdg - Tdj; + TiY = Tdg + Tdj; + { + E TdH, TdK, TdL, Tdo, Tdr; + TdH = FNMS(KP195090322, Tdi, KP980785280 * Tdh); + TdI = TdG + TdH; + Tja = TdH - TdG; + TdK = Tdm + Tdn; + TdL = Tdp + Tdq; + TdM = FMA(KP995184726, TdK, KP098017140 * TdL); + TdS = FNMS(KP098017140, TdK, KP995184726 * TdL); + Tdo = Tdm - Tdn; + Tdr = Tdp - Tdq; + Tds = FMA(KP634393284, Tdo, KP773010453 * Tdr); + TdC = FNMS(KP773010453, Tdo, KP634393284 * Tdr); + { + E TdN, TdO, Tdv, Tdy; + TdN = Tdt + Tdu; + TdO = Tdw + Tdx; + TdP = FNMS(KP098017140, TdO, KP995184726 * TdN); + TdT = FMA(KP098017140, TdN, KP995184726 * TdO); + Tdv = Tdt - Tdu; + Tdy = Tdw - Tdx; + Tdz = FNMS(KP773010453, Tdy, KP634393284 * Tdv); + TdD = FMA(KP773010453, Tdv, KP634393284 * Tdy); + } + } + { + E Tdl, TdA, Tj9, Tjc; + Tdl = Tdd + Tdk; + TdA = Tds + Tdz; + iio[-WS(ios, 41)] = Tdl - TdA; + rio[WS(ios, 9)] = Tdl + TdA; + Tj9 = TdC + TdD; + Tjc = Tja + Tjb; + rio[WS(ios, 41)] = Tj9 - Tjc; + iio[-WS(ios, 9)] = Tj9 + Tjc; + } + { + E TdB, TdE, Tjd, Tje; + TdB = Tdd - Tdk; + TdE = TdC - TdD; + iio[-WS(ios, 57)] = TdB - TdE; + rio[WS(ios, 25)] = TdB + TdE; + Tjd = Tdz - Tds; + Tje = Tjb - Tja; + rio[WS(ios, 57)] = Tjd - Tje; + iio[-WS(ios, 25)] = Tjd + Tje; + } + { + E TdJ, TdQ, TiX, Tj6; + TdJ = TdF + TdI; + TdQ = TdM + TdP; + iio[-WS(ios, 33)] = TdJ - TdQ; + rio[WS(ios, 1)] = TdJ + TdQ; + TiX = TdS + TdT; + Tj6 = TiY + Tj5; + rio[WS(ios, 33)] = TiX - Tj6; + iio[-WS(ios, 1)] = TiX + Tj6; + } + { + E TdR, TdU, Tj7, Tj8; + TdR = TdF - TdI; + TdU = TdS - TdT; + iio[-WS(ios, 49)] = TdR - TdU; + rio[WS(ios, 17)] = TdR + TdU; + Tj7 = TdP - TdM; + Tj8 = Tj5 - TiY; + rio[WS(ios, 49)] = Tj7 - Tj8; + iio[-WS(ios, 17)] = Tj7 + Tj8; + } + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_COS, 0, 1}, + {TW_SIN, 0, 1}, + {TW_COS, 0, 3}, + {TW_SIN, 0, 3}, + {TW_COS, 0, 9}, + {TW_SIN, 0, 9}, + {TW_COS, 0, 27}, + {TW_SIN, 0, 27}, + {TW_COS, 0, 63}, + {TW_SIN, 0, 63}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 64, "hf2_64", twinstr, {880, 386, 274, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf2_64) (planner *p) { + X(khc2hc_dit_register) (p, hf2_64, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf2_8.c b/src/fftw3/rdft/codelets/r2hc/hf2_8.c new file mode 100644 index 0000000..663e8dd --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf2_8.c @@ -0,0 +1,192 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:27 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -twiddle-log3 -n 8 -dit -name hf2_8 -include hf.h */ + +/* + * This function contains 74 FP additions, 44 FP multiplications, + * (or, 56 additions, 26 multiplications, 18 fused multiply/add), + * 50 stack variables, and 32 memory accesses + */ +/* + * Generator Id's : + * $Id: hf2_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf2_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf2_8(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 6) { + E T1, T1c, TJ, T17, TY, TV, TR, Tk, Tr, TN, TM, Tw, TB, TS, Te; + E T1b; + T1 = rio[0]; + T1c = iio[-WS(ios, 7)]; + { + E T9, T3, T6, T4, Tb, T7, Ta, Tg, Ti, TI, TX, Tl, Tm, Tn, TW; + E Tp, TF, Td, TA, Th, Ty, Tj, Tv, To, Tq, Tu; + T9 = rio[WS(ios, 4)]; + { + E TD, TH, TE, TG, T2, T5; + TD = rio[WS(ios, 7)]; + TH = iio[-WS(ios, 4)]; + TE = iio[0]; + TG = rio[WS(ios, 3)]; + T2 = W[2]; + T5 = W[3]; + T3 = W[0]; + T6 = W[1]; + T4 = T2 * T3; + Tb = T5 * T3; + T7 = T5 * T6; + Ta = T2 * T6; + Tg = T4 + T7; + Ti = Ta - Tb; + TI = FMA(T2, TG, T5 * TH); + TX = FNMS(T5, TG, T2 * TH); + Tl = W[4]; + Tm = W[5]; + Tn = FMA(Tl, T3, Tm * T6); + TW = FNMS(Tm, TD, Tl * TE); + Tp = FNMS(Tm, T3, Tl * T6); + TF = FMA(Tl, TD, Tm * TE); + } + Td = iio[-WS(ios, 3)]; + TA = iio[-WS(ios, 2)]; + Th = rio[WS(ios, 2)]; + Ty = rio[WS(ios, 5)]; + Tj = iio[-WS(ios, 5)]; + Tv = iio[-WS(ios, 6)]; + To = rio[WS(ios, 6)]; + Tq = iio[-WS(ios, 1)]; + Tu = rio[WS(ios, 1)]; + TJ = TF + TI; + T17 = TW + TX; + TY = TW - TX; + TV = TF - TI; + TR = FNMS(T6, Tu, T3 * Tv); + Tk = FNMS(Ti, Tj, Tg * Th); + Tr = FNMS(Tp, Tq, Tn * To); + TN = FMA(Tp, To, Tn * Tq); + TM = FMA(Ti, Th, Tg * Tj); + Tw = FMA(T3, Tu, T6 * Tv); + { + E Tx, Tz, T8, Tc; + Tx = FNMS(Tm, Ti, Tl * Tg); + Tz = FMA(Tl, Ti, Tm * Tg); + TB = FMA(Tx, Ty, Tz * TA); + TS = FNMS(Tz, Ty, Tx * TA); + T8 = T4 - T7; + Tc = Ta + Tb; + Te = FMA(T8, T9, Tc * Td); + T1b = FNMS(Tc, T9, T8 * Td); + } + } + { + E TK, T1f, T18, T19, Tt, T15, T1e, T1g, TC, T16; + TC = Tw + TB; + TK = TC + TJ; + T1f = TJ - TC; + T16 = TR + TS; + T18 = T16 - T17; + T19 = T16 + T17; + { + E Tf, Ts, T1a, T1d; + Tf = T1 + Te; + Ts = Tk + Tr; + Tt = Tf + Ts; + T15 = Tf - Ts; + T1a = TM + TN; + T1d = T1b + T1c; + T1e = T1a + T1d; + T1g = T1d - T1a; + } + iio[-WS(ios, 4)] = Tt - TK; + rio[WS(ios, 4)] = T19 - T1e; + rio[0] = Tt + TK; + iio[0] = T19 + T1e; + iio[-WS(ios, 6)] = T15 - T18; + rio[WS(ios, 6)] = T1f - T1g; + rio[WS(ios, 2)] = T15 + T18; + iio[-WS(ios, 2)] = T1f + T1g; + } + { + E TZ, T13, TP, T11, TU, T12, T1k, T1m, TL, TO; + TZ = TV - TY; + T13 = TV + TY; + TL = T1 - Te; + TO = TM - TN; + TP = TL + TO; + T11 = TL - TO; + { + E TQ, TT, T1i, T1j; + TQ = Tw - TB; + TT = TR - TS; + TU = TQ + TT; + T12 = TT - TQ; + T1i = T1c - T1b; + T1j = Tk - Tr; + T1k = T1i - T1j; + T1m = T1j + T1i; + } + { + E T10, T1h, T14, T1l; + T10 = KP707106781 * (TU + TZ); + iio[-WS(ios, 5)] = TP - T10; + rio[WS(ios, 1)] = TP + T10; + T1h = KP707106781 * (T12 + T13); + rio[WS(ios, 5)] = T1h - T1k; + iio[-WS(ios, 1)] = T1h + T1k; + T14 = KP707106781 * (T12 - T13); + iio[-WS(ios, 7)] = T11 - T14; + rio[WS(ios, 3)] = T11 + T14; + T1l = KP707106781 * (TZ - TU); + rio[WS(ios, 7)] = T1l - T1m; + iio[-WS(ios, 3)] = T1l + T1m; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_COS, 0, 1}, + {TW_SIN, 0, 1}, + {TW_COS, 0, 3}, + {TW_SIN, 0, 3}, + {TW_COS, 0, 7}, + {TW_SIN, 0, 7}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 8, "hf2_8", twinstr, {56, 26, 18, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf2_8) (planner *p) { + X(khc2hc_dit_register) (p, hf2_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_10.c b/src/fftw3/rdft/codelets/r2hc/hf_10.c new file mode 100644 index 0000000..bb970fa --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_10.c @@ -0,0 +1,253 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:02 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 10 -dit -name hf_10 -include hf.h */ + +/* + * This function contains 102 FP additions, 60 FP multiplications, + * (or, 72 additions, 30 multiplications, 30 fused multiply/add), + * 45 stack variables, and 40 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_10(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 18) { + E T7, T1O, TT, T1C, TF, TQ, TR, T1r, T1s, T1L, TX, TY, TZ, T16, T19; + E T1y, Ti, Tt, Tu, T1o, T1p, T1M, TU, TV, TW, T1d, T1g, T1x; + { + E T1, T1B, T6, T1A; + T1 = rio[0]; + T1B = iio[-WS(ios, 9)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 5)]; + T5 = iio[-WS(ios, 4)]; + T2 = W[8]; + T4 = W[9]; + T6 = FMA(T2, T3, T4 * T5); + T1A = FNMS(T4, T3, T2 * T5); + } + T7 = T1 - T6; + T1O = T1B - T1A; + TT = T1 + T6; + T1C = T1A + T1B; + } + { + E Tz, T14, TP, T18, TE, T15, TK, T17; + { + E Tw, Ty, Tv, Tx; + Tw = rio[WS(ios, 4)]; + Ty = iio[-WS(ios, 5)]; + Tv = W[6]; + Tx = W[7]; + Tz = FMA(Tv, Tw, Tx * Ty); + T14 = FNMS(Tx, Tw, Tv * Ty); + } + { + E TM, TO, TL, TN; + TM = rio[WS(ios, 1)]; + TO = iio[-WS(ios, 8)]; + TL = W[0]; + TN = W[1]; + TP = FMA(TL, TM, TN * TO); + T18 = FNMS(TN, TM, TL * TO); + } + { + E TB, TD, TA, TC; + TB = rio[WS(ios, 9)]; + TD = iio[0]; + TA = W[16]; + TC = W[17]; + TE = FMA(TA, TB, TC * TD); + T15 = FNMS(TC, TB, TA * TD); + } + { + E TH, TJ, TG, TI; + TH = rio[WS(ios, 6)]; + TJ = iio[-WS(ios, 3)]; + TG = W[10]; + TI = W[11]; + TK = FMA(TG, TH, TI * TJ); + T17 = FNMS(TI, TH, TG * TJ); + } + TF = Tz - TE; + TQ = TK - TP; + TR = TF + TQ; + T1r = T14 - T15; + T1s = T18 - T17; + T1L = T1s - T1r; + TX = Tz + TE; + TY = TK + TP; + TZ = TX + TY; + T16 = T14 + T15; + T19 = T17 + T18; + T1y = T16 + T19; + } + { + E Tc, T1b, Th, T1c, Tn, T1e, Ts, T1f; + { + E T9, Tb, T8, Ta; + T9 = rio[WS(ios, 2)]; + Tb = iio[-WS(ios, 7)]; + T8 = W[2]; + Ta = W[3]; + Tc = FMA(T8, T9, Ta * Tb); + T1b = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 7)]; + Tg = iio[-WS(ios, 2)]; + Td = W[12]; + Tf = W[13]; + Th = FMA(Td, Te, Tf * Tg); + T1c = FNMS(Tf, Te, Td * Tg); + } + { + E Tk, Tm, Tj, Tl; + Tk = rio[WS(ios, 8)]; + Tm = iio[-WS(ios, 1)]; + Tj = W[14]; + Tl = W[15]; + Tn = FMA(Tj, Tk, Tl * Tm); + T1e = FNMS(Tl, Tk, Tj * Tm); + } + { + E Tp, Tr, To, Tq; + Tp = rio[WS(ios, 3)]; + Tr = iio[-WS(ios, 6)]; + To = W[4]; + Tq = W[5]; + Ts = FMA(To, Tp, Tq * Tr); + T1f = FNMS(Tq, Tp, To * Tr); + } + Ti = Tc - Th; + Tt = Tn - Ts; + Tu = Ti + Tt; + T1o = T1b - T1c; + T1p = T1e - T1f; + T1M = T1o + T1p; + TU = Tc + Th; + TV = Tn + Ts; + TW = TU + TV; + T1d = T1b + T1c; + T1g = T1e + T1f; + T1x = T1d + T1g; + } + { + E T1l, TS, T1m, T1u, T1w, T1q, T1t, T1v, T1n; + T1l = KP559016994 * (Tu - TR); + TS = Tu + TR; + T1m = FNMS(KP250000000, TS, T7); + T1q = T1o - T1p; + T1t = T1r + T1s; + T1u = FMA(KP951056516, T1q, KP587785252 * T1t); + T1w = FNMS(KP587785252, T1q, KP951056516 * T1t); + iio[-WS(ios, 5)] = T7 + TS; + T1v = T1m - T1l; + iio[-WS(ios, 7)] = T1v - T1w; + rio[WS(ios, 3)] = T1v + T1w; + T1n = T1l + T1m; + iio[-WS(ios, 9)] = T1n - T1u; + rio[WS(ios, 1)] = T1n + T1u; + } + { + E T1S, T1N, T1T, T1R, T1V, T1P, T1Q, T1W, T1U; + T1S = KP559016994 * (T1M + T1L); + T1N = T1L - T1M; + T1T = FMA(KP250000000, T1N, T1O); + T1P = TQ - TF; + T1Q = Ti - Tt; + T1R = FNMS(KP951056516, T1Q, KP587785252 * T1P); + T1V = FMA(KP587785252, T1Q, KP951056516 * T1P); + rio[WS(ios, 5)] = T1N - T1O; + T1W = T1T - T1S; + rio[WS(ios, 7)] = T1V - T1W; + iio[-WS(ios, 3)] = T1V + T1W; + T1U = T1S + T1T; + rio[WS(ios, 9)] = T1R - T1U; + iio[-WS(ios, 1)] = T1R + T1U; + } + { + E T12, T10, T11, T1i, T1k, T1a, T1h, T1j, T13; + T12 = KP559016994 * (TW - TZ); + T10 = TW + TZ; + T11 = FNMS(KP250000000, T10, TT); + T1a = T16 - T19; + T1h = T1d - T1g; + T1i = FNMS(KP587785252, T1h, KP951056516 * T1a); + T1k = FMA(KP951056516, T1h, KP587785252 * T1a); + rio[0] = TT + T10; + T1j = T12 + T11; + rio[WS(ios, 4)] = T1j - T1k; + iio[-WS(ios, 6)] = T1j + T1k; + T13 = T11 - T12; + rio[WS(ios, 2)] = T13 - T1i; + iio[-WS(ios, 8)] = T13 + T1i; + } + { + E T1H, T1z, T1G, T1F, T1J, T1D, T1E, T1K, T1I; + T1H = KP559016994 * (T1x - T1y); + T1z = T1x + T1y; + T1G = FNMS(KP250000000, T1z, T1C); + T1D = TX - TY; + T1E = TU - TV; + T1F = FNMS(KP587785252, T1E, KP951056516 * T1D); + T1J = FMA(KP951056516, T1E, KP587785252 * T1D); + iio[0] = T1z + T1C; + T1K = T1H + T1G; + rio[WS(ios, 6)] = T1J - T1K; + iio[-WS(ios, 4)] = T1J + T1K; + T1I = T1G - T1H; + rio[WS(ios, 8)] = T1F - T1I; + iio[-WS(ios, 2)] = T1F + T1I; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 10}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 10, "hf_10", twinstr, {72, 30, 30, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_10) (planner *p) { + X(khc2hc_dit_register) (p, hf_10, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_12.c b/src/fftw3/rdft/codelets/r2hc/hf_12.c new file mode 100644 index 0000000..e399159 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_12.c @@ -0,0 +1,300 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:06 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 12 -dit -name hf_12 -include hf.h */ + +/* + * This function contains 118 FP additions, 60 FP multiplications, + * (or, 88 additions, 30 multiplications, 30 fused multiply/add), + * 47 stack variables, and 48 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_12(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 22) { + E T1, T1W, T18, T22, Tc, T15, T1V, T23, TA, T1y, T1j, T1B, TL, T1g, T1z; + E T1A, Ti, T1S, T1d, T25, Tt, T1a, T1T, T26, TR, T1E, T1o, T1D, T12, T1l; + E T1F, T1G; + { + E T6, T16, Tb, T17; + T1 = rio[0]; + T1W = iio[-WS(ios, 11)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 4)]; + T5 = iio[-WS(ios, 7)]; + T2 = W[6]; + T4 = W[7]; + T6 = FMA(T2, T3, T4 * T5); + T16 = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = rio[WS(ios, 8)]; + Ta = iio[-WS(ios, 3)]; + T7 = W[14]; + T9 = W[15]; + Tb = FMA(T7, T8, T9 * Ta); + T17 = FNMS(T9, T8, T7 * Ta); + } + T18 = KP866025403 * (T16 - T17); + T22 = KP866025403 * (Tb - T6); + Tc = T6 + Tb; + T15 = FNMS(KP500000000, Tc, T1); + T1V = T16 + T17; + T23 = FNMS(KP500000000, T1V, T1W); + } + { + E TK, T1i, TF, T1h; + { + E Tx, Tz, Tw, Ty; + Tx = rio[WS(ios, 3)]; + Tz = iio[-WS(ios, 8)]; + Tw = W[4]; + Ty = W[5]; + TA = FMA(Tw, Tx, Ty * Tz); + T1y = FNMS(Ty, Tx, Tw * Tz); + } + { + E TH, TJ, TG, TI; + TH = rio[WS(ios, 11)]; + TJ = iio[0]; + TG = W[20]; + TI = W[21]; + TK = FMA(TG, TH, TI * TJ); + T1i = FNMS(TI, TH, TG * TJ); + } + { + E TC, TE, TB, TD; + TC = rio[WS(ios, 7)]; + TE = iio[-WS(ios, 4)]; + TB = W[12]; + TD = W[13]; + TF = FMA(TB, TC, TD * TE); + T1h = FNMS(TD, TC, TB * TE); + } + T1j = KP866025403 * (T1h - T1i); + T1B = KP866025403 * (TK - TF); + TL = TF + TK; + T1g = FNMS(KP500000000, TL, TA); + T1z = T1h + T1i; + T1A = FNMS(KP500000000, T1z, T1y); + } + { + E Ts, T1c, Tn, T1b; + { + E Tf, Th, Te, Tg; + Tf = rio[WS(ios, 6)]; + Th = iio[-WS(ios, 5)]; + Te = W[10]; + Tg = W[11]; + Ti = FMA(Te, Tf, Tg * Th); + T1S = FNMS(Tg, Tf, Te * Th); + } + { + E Tp, Tr, To, Tq; + Tp = rio[WS(ios, 2)]; + Tr = iio[-WS(ios, 9)]; + To = W[2]; + Tq = W[3]; + Ts = FMA(To, Tp, Tq * Tr); + T1c = FNMS(Tq, Tp, To * Tr); + } + { + E Tk, Tm, Tj, Tl; + Tk = rio[WS(ios, 10)]; + Tm = iio[-WS(ios, 1)]; + Tj = W[18]; + Tl = W[19]; + Tn = FMA(Tj, Tk, Tl * Tm); + T1b = FNMS(Tl, Tk, Tj * Tm); + } + T1d = KP866025403 * (T1b - T1c); + T25 = KP866025403 * (Ts - Tn); + Tt = Tn + Ts; + T1a = FNMS(KP500000000, Tt, Ti); + T1T = T1b + T1c; + T26 = FNMS(KP500000000, T1T, T1S); + } + { + E T11, T1n, TW, T1m; + { + E TO, TQ, TN, TP; + TO = rio[WS(ios, 9)]; + TQ = iio[-WS(ios, 2)]; + TN = W[16]; + TP = W[17]; + TR = FMA(TN, TO, TP * TQ); + T1E = FNMS(TP, TO, TN * TQ); + } + { + E TY, T10, TX, TZ; + TY = rio[WS(ios, 5)]; + T10 = iio[-WS(ios, 6)]; + TX = W[8]; + TZ = W[9]; + T11 = FMA(TX, TY, TZ * T10); + T1n = FNMS(TZ, TY, TX * T10); + } + { + E TT, TV, TS, TU; + TT = rio[WS(ios, 1)]; + TV = iio[-WS(ios, 10)]; + TS = W[0]; + TU = W[1]; + TW = FMA(TS, TT, TU * TV); + T1m = FNMS(TU, TT, TS * TV); + } + T1o = KP866025403 * (T1m - T1n); + T1D = KP866025403 * (T11 - TW); + T12 = TW + T11; + T1l = FNMS(KP500000000, T12, TR); + T1F = T1m + T1n; + T1G = FNMS(KP500000000, T1F, T1E); + } + { + E Tv, T1N, T1Y, T20, T14, T1Z, T1Q, T1R; + { + E Td, Tu, T1U, T1X; + Td = T1 + Tc; + Tu = Ti + Tt; + Tv = Td + Tu; + T1N = Td - Tu; + T1U = T1S + T1T; + T1X = T1V + T1W; + T1Y = T1U + T1X; + T20 = T1X - T1U; + } + { + E TM, T13, T1O, T1P; + TM = TA + TL; + T13 = TR + T12; + T14 = TM + T13; + T1Z = TM - T13; + T1O = T1y + T1z; + T1P = T1E + T1F; + T1Q = T1O - T1P; + T1R = T1O + T1P; + } + iio[-WS(ios, 6)] = Tv - T14; + rio[WS(ios, 6)] = T1R - T1Y; + rio[0] = Tv + T14; + iio[0] = T1R + T1Y; + rio[WS(ios, 3)] = T1N - T1Q; + iio[-WS(ios, 3)] = T1Z + T20; + iio[-WS(ios, 9)] = T1N + T1Q; + rio[WS(ios, 9)] = T1Z - T20; + } + { + E T1t, T1J, T28, T2a, T1w, T21, T1M, T29; + { + E T1r, T1s, T24, T27; + T1r = T15 + T18; + T1s = T1a + T1d; + T1t = T1r + T1s; + T1J = T1r - T1s; + T24 = T22 + T23; + T27 = T25 + T26; + T28 = T24 - T27; + T2a = T27 + T24; + } + { + E T1u, T1v, T1K, T1L; + T1u = T1g + T1j; + T1v = T1l + T1o; + T1w = T1u + T1v; + T21 = T1v - T1u; + T1K = T1B + T1A; + T1L = T1D + T1G; + T1M = T1K - T1L; + T29 = T1K + T1L; + } + iio[-WS(ios, 10)] = T1t - T1w; + rio[WS(ios, 10)] = T29 - T2a; + rio[WS(ios, 4)] = T1t + T1w; + iio[-WS(ios, 4)] = T29 + T2a; + iio[-WS(ios, 7)] = T1J - T1M; + rio[WS(ios, 7)] = T21 - T28; + rio[WS(ios, 1)] = T1J + T1M; + iio[-WS(ios, 1)] = T21 + T28; + } + { + E T1f, T1x, T2e, T2g, T1q, T2f, T1I, T2b; + { + E T19, T1e, T2c, T2d; + T19 = T15 - T18; + T1e = T1a - T1d; + T1f = T19 + T1e; + T1x = T19 - T1e; + T2c = T26 - T25; + T2d = T23 - T22; + T2e = T2c + T2d; + T2g = T2d - T2c; + } + { + E T1k, T1p, T1C, T1H; + T1k = T1g - T1j; + T1p = T1l - T1o; + T1q = T1k + T1p; + T2f = T1p - T1k; + T1C = T1A - T1B; + T1H = T1D - T1G; + T1I = T1C + T1H; + T2b = T1H - T1C; + } + rio[WS(ios, 2)] = T1f - T1q; + iio[-WS(ios, 2)] = T2b + T2e; + iio[-WS(ios, 8)] = T1f + T1q; + rio[WS(ios, 8)] = T2b - T2e; + iio[-WS(ios, 11)] = T1x - T1I; + rio[WS(ios, 11)] = T2f - T2g; + rio[WS(ios, 5)] = T1x + T1I; + iio[-WS(ios, 5)] = T2f + T2g; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 12}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 12, "hf_12", twinstr, {88, 30, 30, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_12) (planner *p) { + X(khc2hc_dit_register) (p, hf_12, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_15.c b/src/fftw3/rdft/codelets/r2hc/hf_15.c new file mode 100644 index 0000000..71a3b40 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_15.c @@ -0,0 +1,405 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:07 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 15 -dit -name hf_15 -include hf.h */ + +/* + * This function contains 184 FP additions, 112 FP multiplications, + * (or, 128 additions, 56 multiplications, 56 fused multiply/add), + * 65 stack variables, and 60 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_15(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 28) { + E T1q, T34, Td, T1n, T2S, T35, T13, T1k, T1l, T2E, T2F, T2O, T1H, T1T, T2k; + E T2t, T2f, T2s, T1M, T1U, Tu, TL, TM, T2H, T2I, T2N, T1w, T1Q, T29, T2w; + E T24, T2v, T1B, T1R; + { + E T1, T2R, T6, T1o, Tb, T1p, Tc, T2Q; + T1 = rio[0]; + T2R = iio[-WS(ios, 14)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 5)]; + T5 = iio[-WS(ios, 9)]; + T2 = W[8]; + T4 = W[9]; + T6 = FMA(T2, T3, T4 * T5); + T1o = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = rio[WS(ios, 10)]; + Ta = iio[-WS(ios, 4)]; + T7 = W[18]; + T9 = W[19]; + Tb = FMA(T7, T8, T9 * Ta); + T1p = FNMS(T9, T8, T7 * Ta); + } + T1q = KP866025403 * (T1o - T1p); + T34 = KP866025403 * (Tb - T6); + Tc = T6 + Tb; + Td = T1 + Tc; + T1n = FNMS(KP500000000, Tc, T1); + T2Q = T1o + T1p; + T2S = T2Q + T2R; + T35 = FNMS(KP500000000, T2Q, T2R); + } + { + E TR, T2c, T18, T2h, TW, T1E, T11, T1F, T12, T2d, T1d, T1J, T1i, T1K, T1j; + E T2i; + { + E TO, TQ, TN, TP; + TO = rio[WS(ios, 6)]; + TQ = iio[-WS(ios, 8)]; + TN = W[10]; + TP = W[11]; + TR = FMA(TN, TO, TP * TQ); + T2c = FNMS(TP, TO, TN * TQ); + } + { + E T15, T17, T14, T16; + T15 = rio[WS(ios, 9)]; + T17 = iio[-WS(ios, 5)]; + T14 = W[16]; + T16 = W[17]; + T18 = FMA(T14, T15, T16 * T17); + T2h = FNMS(T16, T15, T14 * T17); + } + { + E TT, TV, TS, TU; + TT = rio[WS(ios, 11)]; + TV = iio[-WS(ios, 3)]; + TS = W[20]; + TU = W[21]; + TW = FMA(TS, TT, TU * TV); + T1E = FNMS(TU, TT, TS * TV); + } + { + E TY, T10, TX, TZ; + TY = rio[WS(ios, 1)]; + T10 = iio[-WS(ios, 13)]; + TX = W[0]; + TZ = W[1]; + T11 = FMA(TX, TY, TZ * T10); + T1F = FNMS(TZ, TY, TX * T10); + } + T12 = TW + T11; + T2d = T1E + T1F; + { + E T1a, T1c, T19, T1b; + T1a = rio[WS(ios, 14)]; + T1c = iio[0]; + T19 = W[26]; + T1b = W[27]; + T1d = FMA(T19, T1a, T1b * T1c); + T1J = FNMS(T1b, T1a, T19 * T1c); + } + { + E T1f, T1h, T1e, T1g; + T1f = rio[WS(ios, 4)]; + T1h = iio[-WS(ios, 10)]; + T1e = W[6]; + T1g = W[7]; + T1i = FMA(T1e, T1f, T1g * T1h); + T1K = FNMS(T1g, T1f, T1e * T1h); + } + T1j = T1d + T1i; + T2i = T1J + T1K; + { + E T1D, T1G, T2g, T2j; + T13 = TR + T12; + T1k = T18 + T1j; + T1l = T13 + T1k; + T2E = T2c + T2d; + T2F = T2h + T2i; + T2O = T2E + T2F; + T1D = FNMS(KP500000000, T12, TR); + T1G = KP866025403 * (T1E - T1F); + T1H = T1D - T1G; + T1T = T1D + T1G; + T2g = KP866025403 * (T1d - T1i); + T2j = FNMS(KP500000000, T2i, T2h); + T2k = T2g - T2j; + T2t = T2g + T2j; + { + E T2b, T2e, T1I, T1L; + T2b = KP866025403 * (T11 - TW); + T2e = FNMS(KP500000000, T2d, T2c); + T2f = T2b + T2e; + T2s = T2e - T2b; + T1I = FNMS(KP500000000, T1j, T18); + T1L = KP866025403 * (T1J - T1K); + T1M = T1I - T1L; + T1U = T1I + T1L; + } + } + } + { + E Ti, T21, Tz, T26, TE, T1y, TJ, T1z, TK, T27, Tn, T1t, Ts, T1u, Tt; + E T22; + { + E Tf, Th, Te, Tg; + Tf = rio[WS(ios, 3)]; + Th = iio[-WS(ios, 11)]; + Te = W[4]; + Tg = W[5]; + Ti = FMA(Te, Tf, Tg * Th); + T21 = FNMS(Tg, Tf, Te * Th); + } + { + E Tw, Ty, Tv, Tx; + Tw = rio[WS(ios, 12)]; + Ty = iio[-WS(ios, 2)]; + Tv = W[22]; + Tx = W[23]; + Tz = FMA(Tv, Tw, Tx * Ty); + T26 = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = rio[WS(ios, 2)]; + TD = iio[-WS(ios, 12)]; + TA = W[2]; + TC = W[3]; + TE = FMA(TA, TB, TC * TD); + T1y = FNMS(TC, TB, TA * TD); + } + { + E TG, TI, TF, TH; + TG = rio[WS(ios, 7)]; + TI = iio[-WS(ios, 7)]; + TF = W[12]; + TH = W[13]; + TJ = FMA(TF, TG, TH * TI); + T1z = FNMS(TH, TG, TF * TI); + } + TK = TE + TJ; + T27 = T1y + T1z; + { + E Tk, Tm, Tj, Tl; + Tk = rio[WS(ios, 8)]; + Tm = iio[-WS(ios, 6)]; + Tj = W[14]; + Tl = W[15]; + Tn = FMA(Tj, Tk, Tl * Tm); + T1t = FNMS(Tl, Tk, Tj * Tm); + } + { + E Tp, Tr, To, Tq; + Tp = rio[WS(ios, 13)]; + Tr = iio[-WS(ios, 1)]; + To = W[24]; + Tq = W[25]; + Ts = FMA(To, Tp, Tq * Tr); + T1u = FNMS(Tq, Tp, To * Tr); + } + Tt = Tn + Ts; + T22 = T1t + T1u; + { + E T1s, T1v, T25, T28; + Tu = Ti + Tt; + TL = Tz + TK; + TM = Tu + TL; + T2H = T21 + T22; + T2I = T26 + T27; + T2N = T2H + T2I; + T1s = FNMS(KP500000000, Tt, Ti); + T1v = KP866025403 * (T1t - T1u); + T1w = T1s - T1v; + T1Q = T1s + T1v; + T25 = KP866025403 * (TJ - TE); + T28 = FNMS(KP500000000, T27, T26); + T29 = T25 + T28; + T2w = T28 - T25; + { + E T20, T23, T1x, T1A; + T20 = KP866025403 * (Ts - Tn); + T23 = FNMS(KP500000000, T22, T21); + T24 = T20 + T23; + T2v = T23 - T20; + T1x = FNMS(KP500000000, TK, Tz); + T1A = KP866025403 * (T1y - T1z); + T1B = T1x - T1A; + T1R = T1x + T1A; + } + } + } + { + E T2C, T1m, T2B, T2K, T2M, T2G, T2J, T2L, T2D; + T2C = KP559016994 * (TM - T1l); + T1m = TM + T1l; + T2B = FNMS(KP250000000, T1m, Td); + T2G = T2E - T2F; + T2J = T2H - T2I; + T2K = FNMS(KP587785252, T2J, KP951056516 * T2G); + T2M = FMA(KP951056516, T2J, KP587785252 * T2G); + rio[0] = Td + T1m; + T2L = T2C + T2B; + iio[-WS(ios, 9)] = T2L - T2M; + rio[WS(ios, 6)] = T2L + T2M; + T2D = T2B - T2C; + iio[-WS(ios, 12)] = T2D - T2K; + rio[WS(ios, 3)] = T2D + T2K; + } + { + E T2X, T2P, T2W, T2V, T2Z, T2T, T2U, T30, T2Y; + T2X = KP559016994 * (T2N - T2O); + T2P = T2N + T2O; + T2W = FNMS(KP250000000, T2P, T2S); + T2T = Tu - TL; + T2U = T1k - T13; + T2V = FMA(KP587785252, T2T, KP951056516 * T2U); + T2Z = FNMS(KP951056516, T2T, KP587785252 * T2U); + iio[0] = T2P + T2S; + T30 = T2X + T2W; + rio[WS(ios, 9)] = T2Z - T30; + iio[-WS(ios, 6)] = T2Z + T30; + T2Y = T2W - T2X; + rio[WS(ios, 12)] = T2V - T2Y; + iio[-WS(ios, 3)] = T2V + T2Y; + } + { + E T2y, T2A, T1r, T1O, T2p, T2q, T2z, T2r; + { + E T2u, T2x, T1C, T1N; + T2u = T2s - T2t; + T2x = T2v - T2w; + T2y = FNMS(KP587785252, T2x, KP951056516 * T2u); + T2A = FMA(KP951056516, T2x, KP587785252 * T2u); + T1r = T1n - T1q; + T1C = T1w + T1B; + T1N = T1H + T1M; + T1O = T1C + T1N; + T2p = FNMS(KP250000000, T1O, T1r); + T2q = KP559016994 * (T1C - T1N); + } + rio[WS(ios, 5)] = T1r + T1O; + T2z = T2q + T2p; + iio[-WS(ios, 14)] = T2z - T2A; + iio[-WS(ios, 11)] = T2z + T2A; + T2r = T2p - T2q; + rio[WS(ios, 2)] = T2r - T2y; + iio[-WS(ios, 8)] = T2r + T2y; + } + { + E T3h, T3p, T3l, T3m, T3k, T3n, T3q, T3o; + { + E T3f, T3g, T3i, T3j; + T3f = T1w - T1B; + T3g = T1H - T1M; + T3h = FMA(KP951056516, T3f, KP587785252 * T3g); + T3p = FNMS(KP587785252, T3f, KP951056516 * T3g); + T3l = T35 - T34; + T3i = T2s + T2t; + T3j = T2v + T2w; + T3m = T3j + T3i; + T3k = KP559016994 * (T3i - T3j); + T3n = FNMS(KP250000000, T3m, T3l); + } + iio[-WS(ios, 5)] = T3m + T3l; + T3q = T3k + T3n; + rio[WS(ios, 8)] = T3p - T3q; + iio[-WS(ios, 2)] = T3p + T3q; + T3o = T3k - T3n; + rio[WS(ios, 11)] = T3h + T3o; + rio[WS(ios, 14)] = T3o - T3h; + } + { + E T3c, T3d, T36, T33, T37, T38, T3e, T39; + { + E T3a, T3b, T31, T32; + T3a = T1Q - T1R; + T3b = T1T - T1U; + T3c = FMA(KP951056516, T3a, KP587785252 * T3b); + T3d = FNMS(KP587785252, T3a, KP951056516 * T3b); + T36 = T34 + T35; + T31 = T2k - T2f; + T32 = T24 + T29; + T33 = T31 - T32; + T37 = KP559016994 * (T32 + T31); + T38 = FMA(KP250000000, T33, T36); + } + rio[WS(ios, 10)] = T33 - T36; + T3e = T38 - T37; + rio[WS(ios, 13)] = T3d - T3e; + iio[-WS(ios, 7)] = T3d + T3e; + T39 = T37 + T38; + iio[-WS(ios, 1)] = T39 - T3c; + iio[-WS(ios, 4)] = T3c + T39; + } + { + E T2m, T2o, T1P, T1W, T1X, T1Y, T2n, T1Z; + { + E T2a, T2l, T1S, T1V; + T2a = T24 - T29; + T2l = T2f + T2k; + T2m = FMA(KP951056516, T2a, KP587785252 * T2l); + T2o = FNMS(KP587785252, T2a, KP951056516 * T2l); + T1P = T1n + T1q; + T1S = T1Q + T1R; + T1V = T1T + T1U; + T1W = T1S + T1V; + T1X = KP559016994 * (T1S - T1V); + T1Y = FNMS(KP250000000, T1W, T1P); + } + iio[-WS(ios, 10)] = T1P + T1W; + T2n = T1Y - T1X; + rio[WS(ios, 7)] = T2n - T2o; + iio[-WS(ios, 13)] = T2n + T2o; + T1Z = T1X + T1Y; + rio[WS(ios, 4)] = T1Z - T2m; + rio[WS(ios, 1)] = T1Z + T2m; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 15}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 15, "hf_15", twinstr, {128, 56, 56, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_15) (planner *p) { + X(khc2hc_dit_register) (p, hf_15, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_16.c b/src/fftw3/rdft/codelets/r2hc/hf_16.c new file mode 100644 index 0000000..ff3145d --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_16.c @@ -0,0 +1,406 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:07 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 16 -dit -name hf_16 -include hf.h */ + +/* + * This function contains 174 FP additions, 84 FP multiplications, + * (or, 136 additions, 46 multiplications, 38 fused multiply/add), + * 52 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_16(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 30) { + E T7, T37, T1t, T2U, Ti, T38, T1w, T2R, Tu, T2s, T1C, T2c, TF, T2t, T1H; + E T2d, TS, T13, T2w, T2x, T2y, T2z, T1O, T2g, T1T, T2h, T1f, T1q, T2B, T2C; + E T2D, T2E, T1Z, T2j, T24, T2k; + { + E T1, T2T, T6, T2S; + T1 = rio[0]; + T2T = iio[-WS(ios, 15)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 8)]; + T5 = iio[-WS(ios, 7)]; + T2 = W[14]; + T4 = W[15]; + T6 = FMA(T2, T3, T4 * T5); + T2S = FNMS(T4, T3, T2 * T5); + } + T7 = T1 + T6; + T37 = T2T - T2S; + T1t = T1 - T6; + T2U = T2S + T2T; + } + { + E Tc, T1u, Th, T1v; + { + E T9, Tb, T8, Ta; + T9 = rio[WS(ios, 4)]; + Tb = iio[-WS(ios, 11)]; + T8 = W[6]; + Ta = W[7]; + Tc = FMA(T8, T9, Ta * Tb); + T1u = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 12)]; + Tg = iio[-WS(ios, 3)]; + Td = W[22]; + Tf = W[23]; + Th = FMA(Td, Te, Tf * Tg); + T1v = FNMS(Tf, Te, Td * Tg); + } + Ti = Tc + Th; + T38 = Tc - Th; + T1w = T1u - T1v; + T2R = T1u + T1v; + } + { + E To, T1y, Tt, T1z, T1A, T1B; + { + E Tl, Tn, Tk, Tm; + Tl = rio[WS(ios, 2)]; + Tn = iio[-WS(ios, 13)]; + Tk = W[2]; + Tm = W[3]; + To = FMA(Tk, Tl, Tm * Tn); + T1y = FNMS(Tm, Tl, Tk * Tn); + } + { + E Tq, Ts, Tp, Tr; + Tq = rio[WS(ios, 10)]; + Ts = iio[-WS(ios, 5)]; + Tp = W[18]; + Tr = W[19]; + Tt = FMA(Tp, Tq, Tr * Ts); + T1z = FNMS(Tr, Tq, Tp * Ts); + } + Tu = To + Tt; + T2s = T1y + T1z; + T1A = T1y - T1z; + T1B = To - Tt; + T1C = T1A - T1B; + T2c = T1B + T1A; + } + { + E Tz, T1E, TE, T1F, T1D, T1G; + { + E Tw, Ty, Tv, Tx; + Tw = rio[WS(ios, 14)]; + Ty = iio[-WS(ios, 1)]; + Tv = W[26]; + Tx = W[27]; + Tz = FMA(Tv, Tw, Tx * Ty); + T1E = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = rio[WS(ios, 6)]; + TD = iio[-WS(ios, 9)]; + TA = W[10]; + TC = W[11]; + TE = FMA(TA, TB, TC * TD); + T1F = FNMS(TC, TB, TA * TD); + } + TF = Tz + TE; + T2t = T1E + T1F; + T1D = Tz - TE; + T1G = T1E - T1F; + T1H = T1D + T1G; + T2d = T1D - T1G; + } + { + E TM, T1K, T12, T1R, TR, T1L, TX, T1Q; + { + E TJ, TL, TI, TK; + TJ = rio[WS(ios, 1)]; + TL = iio[-WS(ios, 14)]; + TI = W[0]; + TK = W[1]; + TM = FMA(TI, TJ, TK * TL); + T1K = FNMS(TK, TJ, TI * TL); + } + { + E TZ, T11, TY, T10; + TZ = rio[WS(ios, 13)]; + T11 = iio[-WS(ios, 2)]; + TY = W[24]; + T10 = W[25]; + T12 = FMA(TY, TZ, T10 * T11); + T1R = FNMS(T10, TZ, TY * T11); + } + { + E TO, TQ, TN, TP; + TO = rio[WS(ios, 9)]; + TQ = iio[-WS(ios, 6)]; + TN = W[16]; + TP = W[17]; + TR = FMA(TN, TO, TP * TQ); + T1L = FNMS(TP, TO, TN * TQ); + } + { + E TU, TW, TT, TV; + TU = rio[WS(ios, 5)]; + TW = iio[-WS(ios, 10)]; + TT = W[8]; + TV = W[9]; + TX = FMA(TT, TU, TV * TW); + T1Q = FNMS(TV, TU, TT * TW); + } + TS = TM + TR; + T13 = TX + T12; + T2w = TS - T13; + T2x = T1K + T1L; + T2y = T1Q + T1R; + T2z = T2x - T2y; + { + E T1M, T1N, T1P, T1S; + T1M = T1K - T1L; + T1N = TX - T12; + T1O = T1M + T1N; + T2g = T1M - T1N; + T1P = TM - TR; + T1S = T1Q - T1R; + T1T = T1P - T1S; + T2h = T1P + T1S; + } + } + { + E T19, T20, T1p, T1X, T1e, T21, T1k, T1W; + { + E T16, T18, T15, T17; + T16 = rio[WS(ios, 15)]; + T18 = iio[0]; + T15 = W[28]; + T17 = W[29]; + T19 = FMA(T15, T16, T17 * T18); + T20 = FNMS(T17, T16, T15 * T18); + } + { + E T1m, T1o, T1l, T1n; + T1m = rio[WS(ios, 11)]; + T1o = iio[-WS(ios, 4)]; + T1l = W[20]; + T1n = W[21]; + T1p = FMA(T1l, T1m, T1n * T1o); + T1X = FNMS(T1n, T1m, T1l * T1o); + } + { + E T1b, T1d, T1a, T1c; + T1b = rio[WS(ios, 7)]; + T1d = iio[-WS(ios, 8)]; + T1a = W[12]; + T1c = W[13]; + T1e = FMA(T1a, T1b, T1c * T1d); + T21 = FNMS(T1c, T1b, T1a * T1d); + } + { + E T1h, T1j, T1g, T1i; + T1h = rio[WS(ios, 3)]; + T1j = iio[-WS(ios, 12)]; + T1g = W[4]; + T1i = W[5]; + T1k = FMA(T1g, T1h, T1i * T1j); + T1W = FNMS(T1i, T1h, T1g * T1j); + } + T1f = T19 + T1e; + T1q = T1k + T1p; + T2B = T1f - T1q; + T2C = T20 + T21; + T2D = T1W + T1X; + T2E = T2C - T2D; + { + E T1V, T1Y, T22, T23; + T1V = T19 - T1e; + T1Y = T1W - T1X; + T1Z = T1V - T1Y; + T2j = T1V + T1Y; + T22 = T20 - T21; + T23 = T1k - T1p; + T24 = T22 + T23; + T2k = T22 - T23; + } + } + { + E T1J, T27, T3g, T3i, T26, T3h, T2a, T3d; + { + E T1x, T1I, T3e, T3f; + T1x = T1t - T1w; + T1I = KP707106781 * (T1C - T1H); + T1J = T1x + T1I; + T27 = T1x - T1I; + T3e = KP707106781 * (T2d - T2c); + T3f = T38 + T37; + T3g = T3e + T3f; + T3i = T3f - T3e; + } + { + E T1U, T25, T28, T29; + T1U = FMA(KP923879532, T1O, KP382683432 * T1T); + T25 = FNMS(KP923879532, T24, KP382683432 * T1Z); + T26 = T1U + T25; + T3h = T25 - T1U; + T28 = FNMS(KP923879532, T1T, KP382683432 * T1O); + T29 = FMA(KP382683432, T24, KP923879532 * T1Z); + T2a = T28 - T29; + T3d = T28 + T29; + } + iio[-WS(ios, 11)] = T1J - T26; + rio[WS(ios, 11)] = T3d - T3g; + rio[WS(ios, 3)] = T1J + T26; + iio[-WS(ios, 3)] = T3d + T3g; + iio[-WS(ios, 15)] = T27 - T2a; + rio[WS(ios, 15)] = T3h - T3i; + rio[WS(ios, 7)] = T27 + T2a; + iio[-WS(ios, 7)] = T3h + T3i; + } + { + E T2v, T2H, T32, T34, T2G, T33, T2K, T2Z; + { + E T2r, T2u, T30, T31; + T2r = T7 - Ti; + T2u = T2s - T2t; + T2v = T2r + T2u; + T2H = T2r - T2u; + T30 = TF - Tu; + T31 = T2U - T2R; + T32 = T30 + T31; + T34 = T31 - T30; + } + { + E T2A, T2F, T2I, T2J; + T2A = T2w + T2z; + T2F = T2B - T2E; + T2G = KP707106781 * (T2A + T2F); + T33 = KP707106781 * (T2F - T2A); + T2I = T2z - T2w; + T2J = T2B + T2E; + T2K = KP707106781 * (T2I - T2J); + T2Z = KP707106781 * (T2I + T2J); + } + iio[-WS(ios, 10)] = T2v - T2G; + rio[WS(ios, 10)] = T2Z - T32; + rio[WS(ios, 2)] = T2v + T2G; + iio[-WS(ios, 2)] = T2Z + T32; + iio[-WS(ios, 14)] = T2H - T2K; + rio[WS(ios, 14)] = T33 - T34; + rio[WS(ios, 6)] = T2H + T2K; + iio[-WS(ios, 6)] = T33 + T34; + } + { + E T2f, T2n, T3a, T3c, T2m, T3b, T2q, T35; + { + E T2b, T2e, T36, T39; + T2b = T1t + T1w; + T2e = KP707106781 * (T2c + T2d); + T2f = T2b + T2e; + T2n = T2b - T2e; + T36 = KP707106781 * (T1C + T1H); + T39 = T37 - T38; + T3a = T36 + T39; + T3c = T39 - T36; + } + { + E T2i, T2l, T2o, T2p; + T2i = FMA(KP382683432, T2g, KP923879532 * T2h); + T2l = FNMS(KP382683432, T2k, KP923879532 * T2j); + T2m = T2i + T2l; + T3b = T2l - T2i; + T2o = FNMS(KP382683432, T2h, KP923879532 * T2g); + T2p = FMA(KP923879532, T2k, KP382683432 * T2j); + T2q = T2o - T2p; + T35 = T2o + T2p; + } + iio[-WS(ios, 9)] = T2f - T2m; + rio[WS(ios, 9)] = T35 - T3a; + rio[WS(ios, 1)] = T2f + T2m; + iio[-WS(ios, 1)] = T35 + T3a; + iio[-WS(ios, 13)] = T2n - T2q; + rio[WS(ios, 13)] = T3b - T3c; + rio[WS(ios, 5)] = T2n + T2q; + iio[-WS(ios, 5)] = T3b + T3c; + } + { + E TH, T2L, T2W, T2Y, T1s, T2X, T2O, T2P; + { + E Tj, TG, T2Q, T2V; + Tj = T7 + Ti; + TG = Tu + TF; + TH = Tj + TG; + T2L = Tj - TG; + T2Q = T2s + T2t; + T2V = T2R + T2U; + T2W = T2Q + T2V; + T2Y = T2V - T2Q; + } + { + E T14, T1r, T2M, T2N; + T14 = TS + T13; + T1r = T1f + T1q; + T1s = T14 + T1r; + T2X = T1r - T14; + T2M = T2x + T2y; + T2N = T2C + T2D; + T2O = T2M - T2N; + T2P = T2M + T2N; + } + iio[-WS(ios, 8)] = TH - T1s; + rio[WS(ios, 8)] = T2P - T2W; + rio[0] = TH + T1s; + iio[0] = T2P + T2W; + iio[-WS(ios, 12)] = T2L - T2O; + rio[WS(ios, 12)] = T2X - T2Y; + rio[WS(ios, 4)] = T2L + T2O; + iio[-WS(ios, 4)] = T2X + T2Y; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 16}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 16, "hf_16", twinstr, {136, 46, 38, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_16) (planner *p) { + X(khc2hc_dit_register) (p, hf_16, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_2.c b/src/fftw3/rdft/codelets/r2hc/hf_2.c new file mode 100644 index 0000000..7de094c --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_2.c @@ -0,0 +1,75 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:51 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 2 -dit -name hf_2 -include hf.h */ + +/* + * This function contains 6 FP additions, 4 FP multiplications, + * (or, 4 additions, 2 multiplications, 2 fused multiply/add), + * 9 stack variables, and 8 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_2(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 2) { + E T1, T8, T6, T7; + T1 = rio[0]; + T8 = iio[-WS(ios, 1)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 1)]; + T5 = iio[0]; + T2 = W[0]; + T4 = W[1]; + T6 = FMA(T2, T3, T4 * T5); + T7 = FNMS(T4, T3, T2 * T5); + } + iio[-WS(ios, 1)] = T1 - T6; + rio[WS(ios, 1)] = T7 - T8; + rio[0] = T1 + T6; + iio[0] = T7 + T8; + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 2}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 2, "hf_2", twinstr, {4, 2, 2, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_2) (planner *p) { + X(khc2hc_dit_register) (p, hf_2, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_3.c b/src/fftw3/rdft/codelets/r2hc/hf_3.c new file mode 100644 index 0000000..fce963f --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_3.c @@ -0,0 +1,97 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:51 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 3 -dit -name hf_3 -include hf.h */ + +/* + * This function contains 16 FP additions, 12 FP multiplications, + * (or, 10 additions, 6 multiplications, 6 fused multiply/add), + * 15 stack variables, and 12 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_3(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 4) { + E T1, Ti, T6, Te, Tb, Tf, Tc, Th; + T1 = rio[0]; + Ti = iio[-WS(ios, 2)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 1)]; + T5 = iio[-WS(ios, 1)]; + T2 = W[0]; + T4 = W[1]; + T6 = FMA(T2, T3, T4 * T5); + Te = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = rio[WS(ios, 2)]; + Ta = iio[0]; + T7 = W[2]; + T9 = W[3]; + Tb = FMA(T7, T8, T9 * Ta); + Tf = FNMS(T9, T8, T7 * Ta); + } + Tc = T6 + Tb; + Th = Te + Tf; + rio[0] = T1 + Tc; + iio[0] = Th + Ti; + { + E Td, Tg, Tj, Tk; + Td = FNMS(KP500000000, Tc, T1); + Tg = KP866025403 * (Te - Tf); + iio[-WS(ios, 2)] = Td - Tg; + rio[WS(ios, 1)] = Td + Tg; + Tj = KP866025403 * (Tb - T6); + Tk = FNMS(KP500000000, Th, Ti); + rio[WS(ios, 2)] = Tj - Tk; + iio[-WS(ios, 1)] = Tj + Tk; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 3}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 3, "hf_3", twinstr, {10, 6, 6, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_3) (planner *p) { + X(khc2hc_dit_register) (p, hf_3, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_32.c b/src/fftw3/rdft/codelets/r2hc/hf_32.c new file mode 100644 index 0000000..262ef43 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_32.c @@ -0,0 +1,892 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:08 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 32 -dit -name hf_32 -include hf.h */ + +/* + * This function contains 434 FP additions, 208 FP multiplications, + * (or, 340 additions, 114 multiplications, 94 fused multiply/add), + * 96 stack variables, and 128 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_32(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 62) { + E Tj, T5F, T7C, T7Q, T35, T4T, T78, T7m, T2B, T67, T6e, T6O, T4b, T5d, T4s; + E T5g, TG, T7l, T5I, T73, T3a, T4U, T3f, T4V, T1Q, T61, T5Y, T6J, T3K, T59; + E T41, T56, T1r, T5P, T5S, T6F, T3x, T51, T3C, T52, T14, T5N, T5M, T6E, T3m; + E T4Y, T3r, T4Z, T2d, T5Z, T64, T6K, T3V, T57, T44, T5a, T2Y, T6f, T6a, T6P; + E T4m, T5h, T4v, T5e; + { + E T1, T76, T6, T75, Tc, T32, Th, T33; + T1 = rio[0]; + T76 = iio[-WS(ios, 31)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 16)]; + T5 = iio[-WS(ios, 15)]; + T2 = W[30]; + T4 = W[31]; + T6 = FMA(T2, T3, T4 * T5); + T75 = FNMS(T4, T3, T2 * T5); + } + { + E T9, Tb, T8, Ta; + T9 = rio[WS(ios, 8)]; + Tb = iio[-WS(ios, 23)]; + T8 = W[14]; + Ta = W[15]; + Tc = FMA(T8, T9, Ta * Tb); + T32 = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 24)]; + Tg = iio[-WS(ios, 7)]; + Td = W[46]; + Tf = W[47]; + Th = FMA(Td, Te, Tf * Tg); + T33 = FNMS(Tf, Te, Td * Tg); + } + { + E T7, Ti, T7A, T7B; + T7 = T1 + T6; + Ti = Tc + Th; + Tj = T7 + Ti; + T5F = T7 - Ti; + T7A = T76 - T75; + T7B = Tc - Th; + T7C = T7A - T7B; + T7Q = T7B + T7A; + } + { + E T31, T34, T74, T77; + T31 = T1 - T6; + T34 = T32 - T33; + T35 = T31 - T34; + T4T = T31 + T34; + T74 = T32 + T33; + T77 = T75 + T76; + T78 = T74 + T77; + T7m = T77 - T74; + } + } + { + E T2j, T4o, T2z, T49, T2o, T4p, T2u, T48; + { + E T2g, T2i, T2f, T2h; + T2g = rio[WS(ios, 31)]; + T2i = iio[0]; + T2f = W[60]; + T2h = W[61]; + T2j = FMA(T2f, T2g, T2h * T2i); + T4o = FNMS(T2h, T2g, T2f * T2i); + } + { + E T2w, T2y, T2v, T2x; + T2w = rio[WS(ios, 23)]; + T2y = iio[-WS(ios, 8)]; + T2v = W[44]; + T2x = W[45]; + T2z = FMA(T2v, T2w, T2x * T2y); + T49 = FNMS(T2x, T2w, T2v * T2y); + } + { + E T2l, T2n, T2k, T2m; + T2l = rio[WS(ios, 15)]; + T2n = iio[-WS(ios, 16)]; + T2k = W[28]; + T2m = W[29]; + T2o = FMA(T2k, T2l, T2m * T2n); + T4p = FNMS(T2m, T2l, T2k * T2n); + } + { + E T2r, T2t, T2q, T2s; + T2r = rio[WS(ios, 7)]; + T2t = iio[-WS(ios, 24)]; + T2q = W[12]; + T2s = W[13]; + T2u = FMA(T2q, T2r, T2s * T2t); + T48 = FNMS(T2s, T2r, T2q * T2t); + } + { + E T2p, T2A, T6c, T6d; + T2p = T2j + T2o; + T2A = T2u + T2z; + T2B = T2p + T2A; + T67 = T2p - T2A; + T6c = T4o + T4p; + T6d = T48 + T49; + T6e = T6c - T6d; + T6O = T6c + T6d; + } + { + E T47, T4a, T4q, T4r; + T47 = T2j - T2o; + T4a = T48 - T49; + T4b = T47 - T4a; + T5d = T47 + T4a; + T4q = T4o - T4p; + T4r = T2u - T2z; + T4s = T4q + T4r; + T5g = T4q - T4r; + } + } + { + E To, T36, TE, T3d, Tt, T37, Tz, T3c; + { + E Tl, Tn, Tk, Tm; + Tl = rio[WS(ios, 4)]; + Tn = iio[-WS(ios, 27)]; + Tk = W[6]; + Tm = W[7]; + To = FMA(Tk, Tl, Tm * Tn); + T36 = FNMS(Tm, Tl, Tk * Tn); + } + { + E TB, TD, TA, TC; + TB = rio[WS(ios, 12)]; + TD = iio[-WS(ios, 19)]; + TA = W[22]; + TC = W[23]; + TE = FMA(TA, TB, TC * TD); + T3d = FNMS(TC, TB, TA * TD); + } + { + E Tq, Ts, Tp, Tr; + Tq = rio[WS(ios, 20)]; + Ts = iio[-WS(ios, 11)]; + Tp = W[38]; + Tr = W[39]; + Tt = FMA(Tp, Tq, Tr * Ts); + T37 = FNMS(Tr, Tq, Tp * Ts); + } + { + E Tw, Ty, Tv, Tx; + Tw = rio[WS(ios, 28)]; + Ty = iio[-WS(ios, 3)]; + Tv = W[54]; + Tx = W[55]; + Tz = FMA(Tv, Tw, Tx * Ty); + T3c = FNMS(Tx, Tw, Tv * Ty); + } + { + E Tu, TF, T5G, T5H; + Tu = To + Tt; + TF = Tz + TE; + TG = Tu + TF; + T7l = TF - Tu; + T5G = T36 + T37; + T5H = T3c + T3d; + T5I = T5G - T5H; + T73 = T5G + T5H; + } + { + E T38, T39, T3b, T3e; + T38 = T36 - T37; + T39 = To - Tt; + T3a = T38 - T39; + T4U = T39 + T38; + T3b = Tz - TE; + T3e = T3c - T3d; + T3f = T3b + T3e; + T4V = T3b - T3e; + } + } + { + E T1y, T3G, T1O, T3Z, T1D, T3H, T1J, T3Y; + { + E T1v, T1x, T1u, T1w; + T1v = rio[WS(ios, 1)]; + T1x = iio[-WS(ios, 30)]; + T1u = W[0]; + T1w = W[1]; + T1y = FMA(T1u, T1v, T1w * T1x); + T3G = FNMS(T1w, T1v, T1u * T1x); + } + { + E T1L, T1N, T1K, T1M; + T1L = rio[WS(ios, 25)]; + T1N = iio[-WS(ios, 6)]; + T1K = W[48]; + T1M = W[49]; + T1O = FMA(T1K, T1L, T1M * T1N); + T3Z = FNMS(T1M, T1L, T1K * T1N); + } + { + E T1A, T1C, T1z, T1B; + T1A = rio[WS(ios, 17)]; + T1C = iio[-WS(ios, 14)]; + T1z = W[32]; + T1B = W[33]; + T1D = FMA(T1z, T1A, T1B * T1C); + T3H = FNMS(T1B, T1A, T1z * T1C); + } + { + E T1G, T1I, T1F, T1H; + T1G = rio[WS(ios, 9)]; + T1I = iio[-WS(ios, 22)]; + T1F = W[16]; + T1H = W[17]; + T1J = FMA(T1F, T1G, T1H * T1I); + T3Y = FNMS(T1H, T1G, T1F * T1I); + } + { + E T1E, T1P, T5W, T5X; + T1E = T1y + T1D; + T1P = T1J + T1O; + T1Q = T1E + T1P; + T61 = T1E - T1P; + T5W = T3G + T3H; + T5X = T3Y + T3Z; + T5Y = T5W - T5X; + T6J = T5W + T5X; + } + { + E T3I, T3J, T3X, T40; + T3I = T3G - T3H; + T3J = T1J - T1O; + T3K = T3I + T3J; + T59 = T3I - T3J; + T3X = T1y - T1D; + T40 = T3Y - T3Z; + T41 = T3X - T40; + T56 = T3X + T40; + } + } + { + E T19, T3t, T1p, T3A, T1e, T3u, T1k, T3z; + { + E T16, T18, T15, T17; + T16 = rio[WS(ios, 30)]; + T18 = iio[-WS(ios, 1)]; + T15 = W[58]; + T17 = W[59]; + T19 = FMA(T15, T16, T17 * T18); + T3t = FNMS(T17, T16, T15 * T18); + } + { + E T1m, T1o, T1l, T1n; + T1m = rio[WS(ios, 22)]; + T1o = iio[-WS(ios, 9)]; + T1l = W[42]; + T1n = W[43]; + T1p = FMA(T1l, T1m, T1n * T1o); + T3A = FNMS(T1n, T1m, T1l * T1o); + } + { + E T1b, T1d, T1a, T1c; + T1b = rio[WS(ios, 14)]; + T1d = iio[-WS(ios, 17)]; + T1a = W[26]; + T1c = W[27]; + T1e = FMA(T1a, T1b, T1c * T1d); + T3u = FNMS(T1c, T1b, T1a * T1d); + } + { + E T1h, T1j, T1g, T1i; + T1h = rio[WS(ios, 6)]; + T1j = iio[-WS(ios, 25)]; + T1g = W[10]; + T1i = W[11]; + T1k = FMA(T1g, T1h, T1i * T1j); + T3z = FNMS(T1i, T1h, T1g * T1j); + } + { + E T1f, T1q, T5Q, T5R; + T1f = T19 + T1e; + T1q = T1k + T1p; + T1r = T1f + T1q; + T5P = T1f - T1q; + T5Q = T3t + T3u; + T5R = T3z + T3A; + T5S = T5Q - T5R; + T6F = T5Q + T5R; + } + { + E T3v, T3w, T3y, T3B; + T3v = T3t - T3u; + T3w = T1k - T1p; + T3x = T3v + T3w; + T51 = T3v - T3w; + T3y = T19 - T1e; + T3B = T3z - T3A; + T3C = T3y - T3B; + T52 = T3y + T3B; + } + } + { + E TM, T3i, T12, T3p, TR, T3j, TX, T3o; + { + E TJ, TL, TI, TK; + TJ = rio[WS(ios, 2)]; + TL = iio[-WS(ios, 29)]; + TI = W[2]; + TK = W[3]; + TM = FMA(TI, TJ, TK * TL); + T3i = FNMS(TK, TJ, TI * TL); + } + { + E TZ, T11, TY, T10; + TZ = rio[WS(ios, 26)]; + T11 = iio[-WS(ios, 5)]; + TY = W[50]; + T10 = W[51]; + T12 = FMA(TY, TZ, T10 * T11); + T3p = FNMS(T10, TZ, TY * T11); + } + { + E TO, TQ, TN, TP; + TO = rio[WS(ios, 18)]; + TQ = iio[-WS(ios, 13)]; + TN = W[34]; + TP = W[35]; + TR = FMA(TN, TO, TP * TQ); + T3j = FNMS(TP, TO, TN * TQ); + } + { + E TU, TW, TT, TV; + TU = rio[WS(ios, 10)]; + TW = iio[-WS(ios, 21)]; + TT = W[18]; + TV = W[19]; + TX = FMA(TT, TU, TV * TW); + T3o = FNMS(TV, TU, TT * TW); + } + { + E TS, T13, T5K, T5L; + TS = TM + TR; + T13 = TX + T12; + T14 = TS + T13; + T5N = TS - T13; + T5K = T3i + T3j; + T5L = T3o + T3p; + T5M = T5K - T5L; + T6E = T5K + T5L; + } + { + E T3k, T3l, T3n, T3q; + T3k = T3i - T3j; + T3l = TX - T12; + T3m = T3k + T3l; + T4Y = T3k - T3l; + T3n = TM - TR; + T3q = T3o - T3p; + T3r = T3n - T3q; + T4Z = T3n + T3q; + } + } + { + E T1V, T3R, T20, T3S, T3Q, T3T, T26, T3M, T2b, T3N, T3L, T3O; + { + E T1S, T1U, T1R, T1T; + T1S = rio[WS(ios, 5)]; + T1U = iio[-WS(ios, 26)]; + T1R = W[8]; + T1T = W[9]; + T1V = FMA(T1R, T1S, T1T * T1U); + T3R = FNMS(T1T, T1S, T1R * T1U); + } + { + E T1X, T1Z, T1W, T1Y; + T1X = rio[WS(ios, 21)]; + T1Z = iio[-WS(ios, 10)]; + T1W = W[40]; + T1Y = W[41]; + T20 = FMA(T1W, T1X, T1Y * T1Z); + T3S = FNMS(T1Y, T1X, T1W * T1Z); + } + T3Q = T1V - T20; + T3T = T3R - T3S; + { + E T23, T25, T22, T24; + T23 = rio[WS(ios, 29)]; + T25 = iio[-WS(ios, 2)]; + T22 = W[56]; + T24 = W[57]; + T26 = FMA(T22, T23, T24 * T25); + T3M = FNMS(T24, T23, T22 * T25); + } + { + E T28, T2a, T27, T29; + T28 = rio[WS(ios, 13)]; + T2a = iio[-WS(ios, 18)]; + T27 = W[24]; + T29 = W[25]; + T2b = FMA(T27, T28, T29 * T2a); + T3N = FNMS(T29, T28, T27 * T2a); + } + T3L = T26 - T2b; + T3O = T3M - T3N; + { + E T21, T2c, T62, T63; + T21 = T1V + T20; + T2c = T26 + T2b; + T2d = T21 + T2c; + T5Z = T2c - T21; + T62 = T3R + T3S; + T63 = T3M + T3N; + T64 = T62 - T63; + T6K = T62 + T63; + } + { + E T3P, T3U, T42, T43; + T3P = T3L - T3O; + T3U = T3Q + T3T; + T3V = KP707106781 * (T3P - T3U); + T57 = KP707106781 * (T3U + T3P); + T42 = T3T - T3Q; + T43 = T3L + T3O; + T44 = KP707106781 * (T42 - T43); + T5a = KP707106781 * (T42 + T43); + } + } + { + E T2G, T4c, T2L, T4d, T4e, T4f, T2R, T4i, T2W, T4j, T4h, T4k; + { + E T2D, T2F, T2C, T2E; + T2D = rio[WS(ios, 3)]; + T2F = iio[-WS(ios, 28)]; + T2C = W[4]; + T2E = W[5]; + T2G = FMA(T2C, T2D, T2E * T2F); + T4c = FNMS(T2E, T2D, T2C * T2F); + } + { + E T2I, T2K, T2H, T2J; + T2I = rio[WS(ios, 19)]; + T2K = iio[-WS(ios, 12)]; + T2H = W[36]; + T2J = W[37]; + T2L = FMA(T2H, T2I, T2J * T2K); + T4d = FNMS(T2J, T2I, T2H * T2K); + } + T4e = T4c - T4d; + T4f = T2G - T2L; + { + E T2O, T2Q, T2N, T2P; + T2O = rio[WS(ios, 27)]; + T2Q = iio[-WS(ios, 4)]; + T2N = W[52]; + T2P = W[53]; + T2R = FMA(T2N, T2O, T2P * T2Q); + T4i = FNMS(T2P, T2O, T2N * T2Q); + } + { + E T2T, T2V, T2S, T2U; + T2T = rio[WS(ios, 11)]; + T2V = iio[-WS(ios, 20)]; + T2S = W[20]; + T2U = W[21]; + T2W = FMA(T2S, T2T, T2U * T2V); + T4j = FNMS(T2U, T2T, T2S * T2V); + } + T4h = T2R - T2W; + T4k = T4i - T4j; + { + E T2M, T2X, T68, T69; + T2M = T2G + T2L; + T2X = T2R + T2W; + T2Y = T2M + T2X; + T6f = T2X - T2M; + T68 = T4c + T4d; + T69 = T4i + T4j; + T6a = T68 - T69; + T6P = T68 + T69; + } + { + E T4g, T4l, T4t, T4u; + T4g = T4e - T4f; + T4l = T4h + T4k; + T4m = KP707106781 * (T4g - T4l); + T5h = KP707106781 * (T4g + T4l); + T4t = T4h - T4k; + T4u = T4f + T4e; + T4v = KP707106781 * (T4t - T4u); + T5e = KP707106781 * (T4u + T4t); + } + } + { + E T1t, T6X, T7a, T7c, T30, T7b, T70, T71; + { + E TH, T1s, T72, T79; + TH = Tj + TG; + T1s = T14 + T1r; + T1t = TH + T1s; + T6X = TH - T1s; + T72 = T6E + T6F; + T79 = T73 + T78; + T7a = T72 + T79; + T7c = T79 - T72; + } + { + E T2e, T2Z, T6Y, T6Z; + T2e = T1Q + T2d; + T2Z = T2B + T2Y; + T30 = T2e + T2Z; + T7b = T2Z - T2e; + T6Y = T6J + T6K; + T6Z = T6O + T6P; + T70 = T6Y - T6Z; + T71 = T6Y + T6Z; + } + iio[-WS(ios, 16)] = T1t - T30; + rio[WS(ios, 16)] = T71 - T7a; + rio[0] = T1t + T30; + iio[0] = T71 + T7a; + iio[-WS(ios, 24)] = T6X - T70; + rio[WS(ios, 24)] = T7b - T7c; + rio[WS(ios, 8)] = T6X + T70; + iio[-WS(ios, 8)] = T7b + T7c; + } + { + E T6H, T6T, T7g, T7i, T6M, T6U, T6R, T6V; + { + E T6D, T6G, T7e, T7f; + T6D = Tj - TG; + T6G = T6E - T6F; + T6H = T6D + T6G; + T6T = T6D - T6G; + T7e = T1r - T14; + T7f = T78 - T73; + T7g = T7e + T7f; + T7i = T7f - T7e; + } + { + E T6I, T6L, T6N, T6Q; + T6I = T1Q - T2d; + T6L = T6J - T6K; + T6M = T6I + T6L; + T6U = T6L - T6I; + T6N = T2B - T2Y; + T6Q = T6O - T6P; + T6R = T6N - T6Q; + T6V = T6N + T6Q; + } + { + E T6S, T7d, T6W, T7h; + T6S = KP707106781 * (T6M + T6R); + iio[-WS(ios, 20)] = T6H - T6S; + rio[WS(ios, 4)] = T6H + T6S; + T7d = KP707106781 * (T6U + T6V); + rio[WS(ios, 20)] = T7d - T7g; + iio[-WS(ios, 4)] = T7d + T7g; + T6W = KP707106781 * (T6U - T6V); + iio[-WS(ios, 28)] = T6T - T6W; + rio[WS(ios, 12)] = T6T + T6W; + T7h = KP707106781 * (T6R - T6M); + rio[WS(ios, 28)] = T7h - T7i; + iio[-WS(ios, 12)] = T7h + T7i; + } + } + { + E T5J, T7n, T7t, T6n, T5U, T7k, T6x, T6B, T6q, T7s, T66, T6k, T6u, T6A, T6h; + E T6l; + { + E T5O, T5T, T60, T65; + T5J = T5F - T5I; + T7n = T7l + T7m; + T7t = T7m - T7l; + T6n = T5F + T5I; + T5O = T5M - T5N; + T5T = T5P + T5S; + T5U = KP707106781 * (T5O - T5T); + T7k = KP707106781 * (T5O + T5T); + { + E T6v, T6w, T6o, T6p; + T6v = T67 + T6a; + T6w = T6e + T6f; + T6x = FNMS(KP382683432, T6w, KP923879532 * T6v); + T6B = FMA(KP923879532, T6w, KP382683432 * T6v); + T6o = T5N + T5M; + T6p = T5P - T5S; + T6q = KP707106781 * (T6o + T6p); + T7s = KP707106781 * (T6p - T6o); + } + T60 = T5Y - T5Z; + T65 = T61 - T64; + T66 = FMA(KP923879532, T60, KP382683432 * T65); + T6k = FNMS(KP923879532, T65, KP382683432 * T60); + { + E T6s, T6t, T6b, T6g; + T6s = T5Y + T5Z; + T6t = T61 + T64; + T6u = FMA(KP382683432, T6s, KP923879532 * T6t); + T6A = FNMS(KP382683432, T6t, KP923879532 * T6s); + T6b = T67 - T6a; + T6g = T6e - T6f; + T6h = FNMS(KP923879532, T6g, KP382683432 * T6b); + T6l = FMA(KP382683432, T6g, KP923879532 * T6b); + } + } + { + E T5V, T6i, T7r, T7u; + T5V = T5J + T5U; + T6i = T66 + T6h; + iio[-WS(ios, 22)] = T5V - T6i; + rio[WS(ios, 6)] = T5V + T6i; + T7r = T6k + T6l; + T7u = T7s + T7t; + rio[WS(ios, 22)] = T7r - T7u; + iio[-WS(ios, 6)] = T7r + T7u; + } + { + E T6j, T6m, T7v, T7w; + T6j = T5J - T5U; + T6m = T6k - T6l; + iio[-WS(ios, 30)] = T6j - T6m; + rio[WS(ios, 14)] = T6j + T6m; + T7v = T6h - T66; + T7w = T7t - T7s; + rio[WS(ios, 30)] = T7v - T7w; + iio[-WS(ios, 14)] = T7v + T7w; + } + { + E T6r, T6y, T7j, T7o; + T6r = T6n + T6q; + T6y = T6u + T6x; + iio[-WS(ios, 18)] = T6r - T6y; + rio[WS(ios, 2)] = T6r + T6y; + T7j = T6A + T6B; + T7o = T7k + T7n; + rio[WS(ios, 18)] = T7j - T7o; + iio[-WS(ios, 2)] = T7j + T7o; + } + { + E T6z, T6C, T7p, T7q; + T6z = T6n - T6q; + T6C = T6A - T6B; + iio[-WS(ios, 26)] = T6z - T6C; + rio[WS(ios, 10)] = T6z + T6C; + T7p = T6x - T6u; + T7q = T7n - T7k; + rio[WS(ios, 26)] = T7p - T7q; + iio[-WS(ios, 10)] = T7p + T7q; + } + } + { + E T3h, T4D, T7R, T7X, T3E, T7O, T4N, T4R, T46, T4A, T4G, T7W, T4K, T4Q, T4x; + E T4B, T3g, T7P; + T3g = KP707106781 * (T3a - T3f); + T3h = T35 - T3g; + T4D = T35 + T3g; + T7P = KP707106781 * (T4V - T4U); + T7R = T7P + T7Q; + T7X = T7Q - T7P; + { + E T3s, T3D, T4L, T4M; + T3s = FNMS(KP923879532, T3r, KP382683432 * T3m); + T3D = FMA(KP382683432, T3x, KP923879532 * T3C); + T3E = T3s - T3D; + T7O = T3s + T3D; + T4L = T4b + T4m; + T4M = T4s + T4v; + T4N = FNMS(KP555570233, T4M, KP831469612 * T4L); + T4R = FMA(KP831469612, T4M, KP555570233 * T4L); + } + { + E T3W, T45, T4E, T4F; + T3W = T3K - T3V; + T45 = T41 - T44; + T46 = FMA(KP980785280, T3W, KP195090322 * T45); + T4A = FNMS(KP980785280, T45, KP195090322 * T3W); + T4E = FMA(KP923879532, T3m, KP382683432 * T3r); + T4F = FNMS(KP923879532, T3x, KP382683432 * T3C); + T4G = T4E + T4F; + T7W = T4F - T4E; + } + { + E T4I, T4J, T4n, T4w; + T4I = T3K + T3V; + T4J = T41 + T44; + T4K = FMA(KP555570233, T4I, KP831469612 * T4J); + T4Q = FNMS(KP555570233, T4J, KP831469612 * T4I); + T4n = T4b - T4m; + T4w = T4s - T4v; + T4x = FNMS(KP980785280, T4w, KP195090322 * T4n); + T4B = FMA(KP195090322, T4w, KP980785280 * T4n); + } + { + E T3F, T4y, T7V, T7Y; + T3F = T3h + T3E; + T4y = T46 + T4x; + iio[-WS(ios, 23)] = T3F - T4y; + rio[WS(ios, 7)] = T3F + T4y; + T7V = T4A + T4B; + T7Y = T7W + T7X; + rio[WS(ios, 23)] = T7V - T7Y; + iio[-WS(ios, 7)] = T7V + T7Y; + } + { + E T4z, T4C, T7Z, T80; + T4z = T3h - T3E; + T4C = T4A - T4B; + iio[-WS(ios, 31)] = T4z - T4C; + rio[WS(ios, 15)] = T4z + T4C; + T7Z = T4x - T46; + T80 = T7X - T7W; + rio[WS(ios, 31)] = T7Z - T80; + iio[-WS(ios, 15)] = T7Z + T80; + } + { + E T4H, T4O, T7N, T7S; + T4H = T4D + T4G; + T4O = T4K + T4N; + iio[-WS(ios, 19)] = T4H - T4O; + rio[WS(ios, 3)] = T4H + T4O; + T7N = T4Q + T4R; + T7S = T7O + T7R; + rio[WS(ios, 19)] = T7N - T7S; + iio[-WS(ios, 3)] = T7N + T7S; + } + { + E T4P, T4S, T7T, T7U; + T4P = T4D - T4G; + T4S = T4Q - T4R; + iio[-WS(ios, 27)] = T4P - T4S; + rio[WS(ios, 11)] = T4P + T4S; + T7T = T4N - T4K; + T7U = T7R - T7O; + rio[WS(ios, 27)] = T7T - T7U; + iio[-WS(ios, 11)] = T7T + T7U; + } + } + { + E T4X, T5p, T7D, T7J, T54, T7y, T5z, T5D, T5c, T5m, T5s, T7I, T5w, T5C, T5j; + E T5n, T4W, T7z; + T4W = KP707106781 * (T4U + T4V); + T4X = T4T - T4W; + T5p = T4T + T4W; + T7z = KP707106781 * (T3a + T3f); + T7D = T7z + T7C; + T7J = T7C - T7z; + { + E T50, T53, T5x, T5y; + T50 = FNMS(KP382683432, T4Z, KP923879532 * T4Y); + T53 = FMA(KP923879532, T51, KP382683432 * T52); + T54 = T50 - T53; + T7y = T50 + T53; + T5x = T5d + T5e; + T5y = T5g + T5h; + T5z = FNMS(KP195090322, T5y, KP980785280 * T5x); + T5D = FMA(KP195090322, T5x, KP980785280 * T5y); + } + { + E T58, T5b, T5q, T5r; + T58 = T56 - T57; + T5b = T59 - T5a; + T5c = FMA(KP555570233, T58, KP831469612 * T5b); + T5m = FNMS(KP831469612, T58, KP555570233 * T5b); + T5q = FMA(KP382683432, T4Y, KP923879532 * T4Z); + T5r = FNMS(KP382683432, T51, KP923879532 * T52); + T5s = T5q + T5r; + T7I = T5r - T5q; + } + { + E T5u, T5v, T5f, T5i; + T5u = T56 + T57; + T5v = T59 + T5a; + T5w = FMA(KP980785280, T5u, KP195090322 * T5v); + T5C = FNMS(KP195090322, T5u, KP980785280 * T5v); + T5f = T5d - T5e; + T5i = T5g - T5h; + T5j = FNMS(KP831469612, T5i, KP555570233 * T5f); + T5n = FMA(KP831469612, T5f, KP555570233 * T5i); + } + { + E T55, T5k, T7H, T7K; + T55 = T4X + T54; + T5k = T5c + T5j; + iio[-WS(ios, 21)] = T55 - T5k; + rio[WS(ios, 5)] = T55 + T5k; + T7H = T5m + T5n; + T7K = T7I + T7J; + rio[WS(ios, 21)] = T7H - T7K; + iio[-WS(ios, 5)] = T7H + T7K; + } + { + E T5l, T5o, T7L, T7M; + T5l = T4X - T54; + T5o = T5m - T5n; + iio[-WS(ios, 29)] = T5l - T5o; + rio[WS(ios, 13)] = T5l + T5o; + T7L = T5j - T5c; + T7M = T7J - T7I; + rio[WS(ios, 29)] = T7L - T7M; + iio[-WS(ios, 13)] = T7L + T7M; + } + { + E T5t, T5A, T7x, T7E; + T5t = T5p + T5s; + T5A = T5w + T5z; + iio[-WS(ios, 17)] = T5t - T5A; + rio[WS(ios, 1)] = T5t + T5A; + T7x = T5C + T5D; + T7E = T7y + T7D; + rio[WS(ios, 17)] = T7x - T7E; + iio[-WS(ios, 1)] = T7x + T7E; + } + { + E T5B, T5E, T7F, T7G; + T5B = T5p - T5s; + T5E = T5C - T5D; + iio[-WS(ios, 25)] = T5B - T5E; + rio[WS(ios, 9)] = T5B + T5E; + T7F = T5z - T5w; + T7G = T7D - T7y; + rio[WS(ios, 25)] = T7F - T7G; + iio[-WS(ios, 9)] = T7F + T7G; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 32}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 32, "hf_32", twinstr, {340, 114, 94, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_32) (planner *p) { + X(khc2hc_dit_register) (p, hf_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_4.c b/src/fftw3/rdft/codelets/r2hc/hf_4.c new file mode 100644 index 0000000..f4468dd --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_4.c @@ -0,0 +1,111 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:51 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 4 -dit -name hf_4 -include hf.h */ + +/* + * This function contains 22 FP additions, 12 FP multiplications, + * (or, 16 additions, 6 multiplications, 6 fused multiply/add), + * 13 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_4(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 6) { + E T1, Th, Tl, Tp, T6, To, Tc, Tk; + T1 = rio[0]; + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 3)]; + Tg = iio[0]; + Td = W[4]; + Tf = W[5]; + Th = FMA(Td, Te, Tf * Tg); + Tl = FNMS(Tf, Te, Td * Tg); + } + Tp = iio[-WS(ios, 3)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 2)]; + T5 = iio[-WS(ios, 1)]; + T2 = W[2]; + T4 = W[3]; + T6 = FMA(T2, T3, T4 * T5); + To = FNMS(T4, T3, T2 * T5); + } + { + E T9, Tb, T8, Ta; + T9 = rio[WS(ios, 1)]; + Tb = iio[-WS(ios, 2)]; + T8 = W[0]; + Ta = W[1]; + Tc = FMA(T8, T9, Ta * Tb); + Tk = FNMS(Ta, T9, T8 * Tb); + } + { + E T7, Ti, Tn, Tq; + T7 = T1 + T6; + Ti = Tc + Th; + iio[-WS(ios, 2)] = T7 - Ti; + rio[0] = T7 + Ti; + Tn = Tk + Tl; + Tq = To + Tp; + rio[WS(ios, 2)] = Tn - Tq; + iio[0] = Tn + Tq; + } + { + E Tj, Tm, Tr, Ts; + Tj = T1 - T6; + Tm = Tk - Tl; + iio[-WS(ios, 3)] = Tj - Tm; + rio[WS(ios, 1)] = Tj + Tm; + Tr = Th - Tc; + Ts = Tp - To; + rio[WS(ios, 3)] = Tr - Ts; + iio[-WS(ios, 1)] = Tr + Ts; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 4}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 4, "hf_4", twinstr, {16, 6, 6, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_4) (planner *p) { + X(khc2hc_dit_register) (p, hf_4, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_5.c b/src/fftw3/rdft/codelets/r2hc/hf_5.c new file mode 100644 index 0000000..2f02461 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_5.c @@ -0,0 +1,143 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:52 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 5 -dit -name hf_5 -include hf.h */ + +/* + * This function contains 40 FP additions, 28 FP multiplications, + * (or, 26 additions, 14 multiplications, 14 fused multiply/add), + * 29 stack variables, and 20 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_5(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 8) { + E T1, TE, Tu, Tx, TG, TF, TB, TC, TD, Tc, Tn, To; + T1 = rio[0]; + TE = iio[-WS(ios, 4)]; + { + E T6, Ts, Tm, Tw, Tb, Tt, Th, Tv; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 1)]; + T5 = iio[-WS(ios, 3)]; + T2 = W[0]; + T4 = W[1]; + T6 = FMA(T2, T3, T4 * T5); + Ts = FNMS(T4, T3, T2 * T5); + } + { + E Tj, Tl, Ti, Tk; + Tj = rio[WS(ios, 3)]; + Tl = iio[-WS(ios, 1)]; + Ti = W[4]; + Tk = W[5]; + Tm = FMA(Ti, Tj, Tk * Tl); + Tw = FNMS(Tk, Tj, Ti * Tl); + } + { + E T8, Ta, T7, T9; + T8 = rio[WS(ios, 4)]; + Ta = iio[0]; + T7 = W[6]; + T9 = W[7]; + Tb = FMA(T7, T8, T9 * Ta); + Tt = FNMS(T9, T8, T7 * Ta); + } + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 2)]; + Tg = iio[-WS(ios, 2)]; + Td = W[2]; + Tf = W[3]; + Th = FMA(Td, Te, Tf * Tg); + Tv = FNMS(Tf, Te, Td * Tg); + } + Tu = Ts - Tt; + Tx = Tv - Tw; + TG = Th - Tm; + TF = Tb - T6; + TB = Ts + Tt; + TC = Tv + Tw; + TD = TB + TC; + Tc = T6 + Tb; + Tn = Th + Tm; + To = Tc + Tn; + } + rio[0] = T1 + To; + iio[0] = TD + TE; + { + E Ty, TA, Tr, Tz, Tp, Tq; + Ty = FMA(KP951056516, Tu, KP587785252 * Tx); + TA = FNMS(KP587785252, Tu, KP951056516 * Tx); + Tp = KP559016994 * (Tc - Tn); + Tq = FNMS(KP250000000, To, T1); + Tr = Tp + Tq; + Tz = Tq - Tp; + iio[-WS(ios, 4)] = Tr - Ty; + iio[-WS(ios, 3)] = Tz + TA; + rio[WS(ios, 1)] = Tr + Ty; + rio[WS(ios, 2)] = Tz - TA; + } + { + E TH, TL, TK, TM, TI, TJ; + TH = FNMS(KP587785252, TG, KP951056516 * TF); + TL = FMA(KP587785252, TF, KP951056516 * TG); + TI = KP559016994 * (TB - TC); + TJ = FNMS(KP250000000, TD, TE); + TK = TI + TJ; + TM = TJ - TI; + rio[WS(ios, 4)] = TH - TK; + iio[-WS(ios, 2)] = TL + TM; + iio[-WS(ios, 1)] = TH + TK; + rio[WS(ios, 3)] = TL - TM; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 5}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 5, "hf_5", twinstr, {26, 14, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_5) (planner *p) { + X(khc2hc_dit_register) (p, hf_5, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_6.c b/src/fftw3/rdft/codelets/r2hc/hf_6.c new file mode 100644 index 0000000..e4c9f8d --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_6.c @@ -0,0 +1,160 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:54 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 6 -dit -name hf_6 -include hf.h */ + +/* + * This function contains 46 FP additions, 28 FP multiplications, + * (or, 32 additions, 14 multiplications, 14 fused multiply/add), + * 23 stack variables, and 24 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_6(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 10) { + E T7, TS, Tv, TO, Ti, TI, Tw, TC, Tt, TJ, Tx, TF; + { + E T1, TN, T6, TM; + T1 = rio[0]; + TN = iio[-WS(ios, 5)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 3)]; + T5 = iio[-WS(ios, 2)]; + T2 = W[4]; + T4 = W[5]; + T6 = FMA(T2, T3, T4 * T5); + TM = FNMS(T4, T3, T2 * T5); + } + T7 = T1 - T6; + TS = TN - TM; + Tv = T1 + T6; + TO = TM + TN; + } + { + E Tc, TA, Th, TB; + { + E T9, Tb, T8, Ta; + T9 = rio[WS(ios, 2)]; + Tb = iio[-WS(ios, 3)]; + T8 = W[2]; + Ta = W[3]; + Tc = FMA(T8, T9, Ta * Tb); + TA = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 5)]; + Tg = iio[0]; + Td = W[8]; + Tf = W[9]; + Th = FMA(Td, Te, Tf * Tg); + TB = FNMS(Tf, Te, Td * Tg); + } + Ti = Tc - Th; + TI = TA - TB; + Tw = Tc + Th; + TC = TA + TB; + } + { + E Tn, TD, Ts, TE; + { + E Tk, Tm, Tj, Tl; + Tk = rio[WS(ios, 4)]; + Tm = iio[-WS(ios, 1)]; + Tj = W[6]; + Tl = W[7]; + Tn = FMA(Tj, Tk, Tl * Tm); + TD = FNMS(Tl, Tk, Tj * Tm); + } + { + E Tp, Tr, To, Tq; + Tp = rio[WS(ios, 1)]; + Tr = iio[-WS(ios, 4)]; + To = W[0]; + Tq = W[1]; + Ts = FMA(To, Tp, Tq * Tr); + TE = FNMS(Tq, Tp, To * Tr); + } + Tt = Tn - Ts; + TJ = TE - TD; + Tx = Tn + Ts; + TF = TD + TE; + } + { + E TK, Tu, TH, TT, TR, TU; + TK = KP866025403 * (TI + TJ); + Tu = Ti + Tt; + TH = FNMS(KP500000000, Tu, T7); + iio[-WS(ios, 3)] = T7 + Tu; + rio[WS(ios, 1)] = TH + TK; + iio[-WS(ios, 5)] = TH - TK; + TT = KP866025403 * (Tt - Ti); + TR = TJ - TI; + TU = FMA(KP500000000, TR, TS); + rio[WS(ios, 3)] = TR - TS; + iio[-WS(ios, 1)] = TT + TU; + rio[WS(ios, 5)] = TT - TU; + } + { + E TG, Ty, Tz, TP, TL, TQ; + TG = KP866025403 * (TC - TF); + Ty = Tw + Tx; + Tz = FNMS(KP500000000, Ty, Tv); + rio[0] = Tv + Ty; + iio[-WS(ios, 4)] = Tz + TG; + rio[WS(ios, 2)] = Tz - TG; + TP = KP866025403 * (Tw - Tx); + TL = TC + TF; + TQ = FNMS(KP500000000, TL, TO); + iio[0] = TL + TO; + iio[-WS(ios, 2)] = TP + TQ; + rio[WS(ios, 4)] = TP - TQ; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 6}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 6, "hf_6", twinstr, {32, 14, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_6) (planner *p) { + X(khc2hc_dit_register) (p, hf_6, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_64.c b/src/fftw3/rdft/codelets/r2hc/hf_64.c new file mode 100644 index 0000000..3e99d63 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_64.c @@ -0,0 +1,2001 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:11 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 64 -dit -name hf_64 -include hf.h */ + +/* + * This function contains 1038 FP additions, 500 FP multiplications, + * (or, 808 additions, 270 multiplications, 230 fused multiply/add), + * 176 stack variables, and 256 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_64(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 126) { + E Tj, TcL, ThT, Tin, T6b, Taz, TgT, Thn, TG, Thm, TcO, TgO, T6m, ThQ, TaC; + E Tim, T14, Tfq, T6y, T9O, TaG, Tc0, TcU, TeE, T1r, Tfr, T6J, T9P, TaJ, Tc1; + E TcZ, TeF, T1Q, T2d, Tfx, Tfu, Tfv, Tfw, T6Q, TaM, Tdb, TeJ, T71, TaQ, T7a; + E TaN, Td6, TeI, T77, TaP, T2B, T2Y, Tfz, TfA, TfB, TfC, T7h, TaW, Tdm, TeM; + E T7s, TaU, T7B, TaX, Tdh, TeL, T7y, TaT, T3M, TfL, TdL, TeQ, TfI, Tgt, T7K; + E Tb2, T7V, Tbe, T8s, Tb3, Tdu, TeT, T8p, Tbd, T5j, TfR, Tec, Tf0, TfY, Tgy; + E T8D, Tbl, T8O, Tbx, T9l, Tbm, TdV, TeX, T9i, Tbw, T64, TfZ, Te5, Ted, TfU; + E Tgz, T90, T9o, T9b, T9n, Tbt, Tbz, Te0, Tee, Tbq, TbA, T4x, TfJ, TdE, TdM; + E TfO, Tgu, T87, T8v, T8i, T8u, Tba, Tbg, Tdz, TdN, Tb7, Tbh; + { + E T1, TgR, T6, TgQ, Tc, T68, Th, T69; + T1 = rio[0]; + TgR = iio[-WS(ios, 63)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 32)]; + T5 = iio[-WS(ios, 31)]; + T2 = W[62]; + T4 = W[63]; + T6 = FMA(T2, T3, T4 * T5); + TgQ = FNMS(T4, T3, T2 * T5); + } + { + E T9, Tb, T8, Ta; + T9 = rio[WS(ios, 16)]; + Tb = iio[-WS(ios, 47)]; + T8 = W[30]; + Ta = W[31]; + Tc = FMA(T8, T9, Ta * Tb); + T68 = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 48)]; + Tg = iio[-WS(ios, 15)]; + Td = W[94]; + Tf = W[95]; + Th = FMA(Td, Te, Tf * Tg); + T69 = FNMS(Tf, Te, Td * Tg); + } + { + E T7, Ti, ThR, ThS; + T7 = T1 + T6; + Ti = Tc + Th; + Tj = T7 + Ti; + TcL = T7 - Ti; + ThR = TgR - TgQ; + ThS = Tc - Th; + ThT = ThR - ThS; + Tin = ThS + ThR; + } + { + E T67, T6a, TgP, TgS; + T67 = T1 - T6; + T6a = T68 - T69; + T6b = T67 - T6a; + Taz = T67 + T6a; + TgP = T68 + T69; + TgS = TgQ + TgR; + TgT = TgP + TgS; + Thn = TgS - TgP; + } + } + { + E To, T6c, Tt, T6d, T6e, T6f, Tz, T6i, TE, T6j, T6h, T6k; + { + E Tl, Tn, Tk, Tm; + Tl = rio[WS(ios, 8)]; + Tn = iio[-WS(ios, 55)]; + Tk = W[14]; + Tm = W[15]; + To = FMA(Tk, Tl, Tm * Tn); + T6c = FNMS(Tm, Tl, Tk * Tn); + } + { + E Tq, Ts, Tp, Tr; + Tq = rio[WS(ios, 40)]; + Ts = iio[-WS(ios, 23)]; + Tp = W[78]; + Tr = W[79]; + Tt = FMA(Tp, Tq, Tr * Ts); + T6d = FNMS(Tr, Tq, Tp * Ts); + } + T6e = T6c - T6d; + T6f = To - Tt; + { + E Tw, Ty, Tv, Tx; + Tw = rio[WS(ios, 56)]; + Ty = iio[-WS(ios, 7)]; + Tv = W[110]; + Tx = W[111]; + Tz = FMA(Tv, Tw, Tx * Ty); + T6i = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = rio[WS(ios, 24)]; + TD = iio[-WS(ios, 39)]; + TA = W[46]; + TC = W[47]; + TE = FMA(TA, TB, TC * TD); + T6j = FNMS(TC, TB, TA * TD); + } + T6h = Tz - TE; + T6k = T6i - T6j; + { + E Tu, TF, TcM, TcN; + Tu = To + Tt; + TF = Tz + TE; + TG = Tu + TF; + Thm = TF - Tu; + TcM = T6c + T6d; + TcN = T6i + T6j; + TcO = TcM - TcN; + TgO = TcM + TcN; + } + { + E T6g, T6l, TaA, TaB; + T6g = T6e - T6f; + T6l = T6h + T6k; + T6m = KP707106781 * (T6g - T6l); + ThQ = KP707106781 * (T6g + T6l); + TaA = T6f + T6e; + TaB = T6h - T6k; + TaC = KP707106781 * (TaA + TaB); + Tim = KP707106781 * (TaB - TaA); + } + } + { + E TS, TcQ, T6q, T6t, T13, TcR, T6r, T6w, T6s, T6x; + { + E TM, T6o, TR, T6p; + { + E TJ, TL, TI, TK; + TJ = rio[WS(ios, 4)]; + TL = iio[-WS(ios, 59)]; + TI = W[6]; + TK = W[7]; + TM = FMA(TI, TJ, TK * TL); + T6o = FNMS(TK, TJ, TI * TL); + } + { + E TO, TQ, TN, TP; + TO = rio[WS(ios, 36)]; + TQ = iio[-WS(ios, 27)]; + TN = W[70]; + TP = W[71]; + TR = FMA(TN, TO, TP * TQ); + T6p = FNMS(TP, TO, TN * TQ); + } + TS = TM + TR; + TcQ = T6o + T6p; + T6q = T6o - T6p; + T6t = TM - TR; + } + { + E TX, T6u, T12, T6v; + { + E TU, TW, TT, TV; + TU = rio[WS(ios, 20)]; + TW = iio[-WS(ios, 43)]; + TT = W[38]; + TV = W[39]; + TX = FMA(TT, TU, TV * TW); + T6u = FNMS(TV, TU, TT * TW); + } + { + E TZ, T11, TY, T10; + TZ = rio[WS(ios, 52)]; + T11 = iio[-WS(ios, 11)]; + TY = W[102]; + T10 = W[103]; + T12 = FMA(TY, TZ, T10 * T11); + T6v = FNMS(T10, TZ, TY * T11); + } + T13 = TX + T12; + TcR = T6u + T6v; + T6r = TX - T12; + T6w = T6u - T6v; + } + T14 = TS + T13; + Tfq = TcQ + TcR; + T6s = T6q + T6r; + T6x = T6t - T6w; + T6y = FNMS(KP923879532, T6x, KP382683432 * T6s); + T9O = FMA(KP923879532, T6s, KP382683432 * T6x); + { + E TaE, TaF, TcS, TcT; + TaE = T6q - T6r; + TaF = T6t + T6w; + TaG = FNMS(KP382683432, TaF, KP923879532 * TaE); + Tc0 = FMA(KP382683432, TaE, KP923879532 * TaF); + TcS = TcQ - TcR; + TcT = TS - T13; + TcU = TcS - TcT; + TeE = TcT + TcS; + } + } + { + E T1f, TcW, T6B, T6E, T1q, TcX, T6C, T6H, T6D, T6I; + { + E T19, T6z, T1e, T6A; + { + E T16, T18, T15, T17; + T16 = rio[WS(ios, 60)]; + T18 = iio[-WS(ios, 3)]; + T15 = W[118]; + T17 = W[119]; + T19 = FMA(T15, T16, T17 * T18); + T6z = FNMS(T17, T16, T15 * T18); + } + { + E T1b, T1d, T1a, T1c; + T1b = rio[WS(ios, 28)]; + T1d = iio[-WS(ios, 35)]; + T1a = W[54]; + T1c = W[55]; + T1e = FMA(T1a, T1b, T1c * T1d); + T6A = FNMS(T1c, T1b, T1a * T1d); + } + T1f = T19 + T1e; + TcW = T6z + T6A; + T6B = T6z - T6A; + T6E = T19 - T1e; + } + { + E T1k, T6F, T1p, T6G; + { + E T1h, T1j, T1g, T1i; + T1h = rio[WS(ios, 12)]; + T1j = iio[-WS(ios, 51)]; + T1g = W[22]; + T1i = W[23]; + T1k = FMA(T1g, T1h, T1i * T1j); + T6F = FNMS(T1i, T1h, T1g * T1j); + } + { + E T1m, T1o, T1l, T1n; + T1m = rio[WS(ios, 44)]; + T1o = iio[-WS(ios, 19)]; + T1l = W[86]; + T1n = W[87]; + T1p = FMA(T1l, T1m, T1n * T1o); + T6G = FNMS(T1n, T1m, T1l * T1o); + } + T1q = T1k + T1p; + TcX = T6F + T6G; + T6C = T1k - T1p; + T6H = T6F - T6G; + } + T1r = T1f + T1q; + Tfr = TcW + TcX; + T6D = T6B + T6C; + T6I = T6E - T6H; + T6J = FMA(KP382683432, T6D, KP923879532 * T6I); + T9P = FNMS(KP923879532, T6D, KP382683432 * T6I); + { + E TaH, TaI, TcV, TcY; + TaH = T6B - T6C; + TaI = T6E + T6H; + TaJ = FMA(KP923879532, TaH, KP382683432 * TaI); + Tc1 = FNMS(KP382683432, TaH, KP923879532 * TaI); + TcV = T1f - T1q; + TcY = TcW - TcX; + TcZ = TcV + TcY; + TeF = TcV - TcY; + } + } + { + E T1y, T6M, T1D, T6N, T1E, Td2, T1J, T74, T1O, T75, T1P, Td3, T21, Td8, T6W; + E T6Z, T2c, Td9, T6R, T6U; + { + E T1v, T1x, T1u, T1w; + T1v = rio[WS(ios, 2)]; + T1x = iio[-WS(ios, 61)]; + T1u = W[2]; + T1w = W[3]; + T1y = FMA(T1u, T1v, T1w * T1x); + T6M = FNMS(T1w, T1v, T1u * T1x); + } + { + E T1A, T1C, T1z, T1B; + T1A = rio[WS(ios, 34)]; + T1C = iio[-WS(ios, 29)]; + T1z = W[66]; + T1B = W[67]; + T1D = FMA(T1z, T1A, T1B * T1C); + T6N = FNMS(T1B, T1A, T1z * T1C); + } + T1E = T1y + T1D; + Td2 = T6M + T6N; + { + E T1G, T1I, T1F, T1H; + T1G = rio[WS(ios, 18)]; + T1I = iio[-WS(ios, 45)]; + T1F = W[34]; + T1H = W[35]; + T1J = FMA(T1F, T1G, T1H * T1I); + T74 = FNMS(T1H, T1G, T1F * T1I); + } + { + E T1L, T1N, T1K, T1M; + T1L = rio[WS(ios, 50)]; + T1N = iio[-WS(ios, 13)]; + T1K = W[98]; + T1M = W[99]; + T1O = FMA(T1K, T1L, T1M * T1N); + T75 = FNMS(T1M, T1L, T1K * T1N); + } + T1P = T1J + T1O; + Td3 = T74 + T75; + { + E T1V, T6X, T20, T6Y; + { + E T1S, T1U, T1R, T1T; + T1S = rio[WS(ios, 10)]; + T1U = iio[-WS(ios, 53)]; + T1R = W[18]; + T1T = W[19]; + T1V = FMA(T1R, T1S, T1T * T1U); + T6X = FNMS(T1T, T1S, T1R * T1U); + } + { + E T1X, T1Z, T1W, T1Y; + T1X = rio[WS(ios, 42)]; + T1Z = iio[-WS(ios, 21)]; + T1W = W[82]; + T1Y = W[83]; + T20 = FMA(T1W, T1X, T1Y * T1Z); + T6Y = FNMS(T1Y, T1X, T1W * T1Z); + } + T21 = T1V + T20; + Td8 = T6X + T6Y; + T6W = T1V - T20; + T6Z = T6X - T6Y; + } + { + E T26, T6S, T2b, T6T; + { + E T23, T25, T22, T24; + T23 = rio[WS(ios, 58)]; + T25 = iio[-WS(ios, 5)]; + T22 = W[114]; + T24 = W[115]; + T26 = FMA(T22, T23, T24 * T25); + T6S = FNMS(T24, T23, T22 * T25); + } + { + E T28, T2a, T27, T29; + T28 = rio[WS(ios, 26)]; + T2a = iio[-WS(ios, 37)]; + T27 = W[50]; + T29 = W[51]; + T2b = FMA(T27, T28, T29 * T2a); + T6T = FNMS(T29, T28, T27 * T2a); + } + T2c = T26 + T2b; + Td9 = T6S + T6T; + T6R = T26 - T2b; + T6U = T6S - T6T; + } + T1Q = T1E + T1P; + T2d = T21 + T2c; + Tfx = T1Q - T2d; + Tfu = Td2 + Td3; + Tfv = Td8 + Td9; + Tfw = Tfu - Tfv; + { + E T6O, T6P, Td7, Tda; + T6O = T6M - T6N; + T6P = T1J - T1O; + T6Q = T6O + T6P; + TaM = T6O - T6P; + Td7 = T1E - T1P; + Tda = Td8 - Td9; + Tdb = Td7 - Tda; + TeJ = Td7 + Tda; + } + { + E T6V, T70, T78, T79; + T6V = T6R - T6U; + T70 = T6W + T6Z; + T71 = KP707106781 * (T6V - T70); + TaQ = KP707106781 * (T70 + T6V); + T78 = T6Z - T6W; + T79 = T6R + T6U; + T7a = KP707106781 * (T78 - T79); + TaN = KP707106781 * (T78 + T79); + } + { + E Td4, Td5, T73, T76; + Td4 = Td2 - Td3; + Td5 = T2c - T21; + Td6 = Td4 - Td5; + TeI = Td4 + Td5; + T73 = T1y - T1D; + T76 = T74 - T75; + T77 = T73 - T76; + TaP = T73 + T76; + } + } + { + E T2j, T7d, T2o, T7e, T2p, Tdd, T2u, T7v, T2z, T7w, T2A, Tde, T2M, Tdj, T7n; + E T7q, T2X, Tdk, T7i, T7l; + { + E T2g, T2i, T2f, T2h; + T2g = rio[WS(ios, 62)]; + T2i = iio[-WS(ios, 1)]; + T2f = W[122]; + T2h = W[123]; + T2j = FMA(T2f, T2g, T2h * T2i); + T7d = FNMS(T2h, T2g, T2f * T2i); + } + { + E T2l, T2n, T2k, T2m; + T2l = rio[WS(ios, 30)]; + T2n = iio[-WS(ios, 33)]; + T2k = W[58]; + T2m = W[59]; + T2o = FMA(T2k, T2l, T2m * T2n); + T7e = FNMS(T2m, T2l, T2k * T2n); + } + T2p = T2j + T2o; + Tdd = T7d + T7e; + { + E T2r, T2t, T2q, T2s; + T2r = rio[WS(ios, 14)]; + T2t = iio[-WS(ios, 49)]; + T2q = W[26]; + T2s = W[27]; + T2u = FMA(T2q, T2r, T2s * T2t); + T7v = FNMS(T2s, T2r, T2q * T2t); + } + { + E T2w, T2y, T2v, T2x; + T2w = rio[WS(ios, 46)]; + T2y = iio[-WS(ios, 17)]; + T2v = W[90]; + T2x = W[91]; + T2z = FMA(T2v, T2w, T2x * T2y); + T7w = FNMS(T2x, T2w, T2v * T2y); + } + T2A = T2u + T2z; + Tde = T7v + T7w; + { + E T2G, T7o, T2L, T7p; + { + E T2D, T2F, T2C, T2E; + T2D = rio[WS(ios, 6)]; + T2F = iio[-WS(ios, 57)]; + T2C = W[10]; + T2E = W[11]; + T2G = FMA(T2C, T2D, T2E * T2F); + T7o = FNMS(T2E, T2D, T2C * T2F); + } + { + E T2I, T2K, T2H, T2J; + T2I = rio[WS(ios, 38)]; + T2K = iio[-WS(ios, 25)]; + T2H = W[74]; + T2J = W[75]; + T2L = FMA(T2H, T2I, T2J * T2K); + T7p = FNMS(T2J, T2I, T2H * T2K); + } + T2M = T2G + T2L; + Tdj = T7o + T7p; + T7n = T2G - T2L; + T7q = T7o - T7p; + } + { + E T2R, T7j, T2W, T7k; + { + E T2O, T2Q, T2N, T2P; + T2O = rio[WS(ios, 54)]; + T2Q = iio[-WS(ios, 9)]; + T2N = W[106]; + T2P = W[107]; + T2R = FMA(T2N, T2O, T2P * T2Q); + T7j = FNMS(T2P, T2O, T2N * T2Q); + } + { + E T2T, T2V, T2S, T2U; + T2T = rio[WS(ios, 22)]; + T2V = iio[-WS(ios, 41)]; + T2S = W[42]; + T2U = W[43]; + T2W = FMA(T2S, T2T, T2U * T2V); + T7k = FNMS(T2U, T2T, T2S * T2V); + } + T2X = T2R + T2W; + Tdk = T7j + T7k; + T7i = T2R - T2W; + T7l = T7j - T7k; + } + T2B = T2p + T2A; + T2Y = T2M + T2X; + Tfz = T2B - T2Y; + TfA = Tdd + Tde; + TfB = Tdj + Tdk; + TfC = TfA - TfB; + { + E T7f, T7g, Tdi, Tdl; + T7f = T7d - T7e; + T7g = T2u - T2z; + T7h = T7f + T7g; + TaW = T7f - T7g; + Tdi = T2p - T2A; + Tdl = Tdj - Tdk; + Tdm = Tdi - Tdl; + TeM = Tdi + Tdl; + } + { + E T7m, T7r, T7z, T7A; + T7m = T7i - T7l; + T7r = T7n + T7q; + T7s = KP707106781 * (T7m - T7r); + TaU = KP707106781 * (T7r + T7m); + T7z = T7q - T7n; + T7A = T7i + T7l; + T7B = KP707106781 * (T7z - T7A); + TaX = KP707106781 * (T7z + T7A); + } + { + E Tdf, Tdg, T7u, T7x; + Tdf = Tdd - Tde; + Tdg = T2X - T2M; + Tdh = Tdf - Tdg; + TeL = Tdf + Tdg; + T7u = T2j - T2o; + T7x = T7v - T7w; + T7y = T7u - T7x; + TaT = T7u + T7x; + } + } + { + E T36, T7G, T3b, T7H, T3c, Tdq, T3h, T8m, T3m, T8n, T3n, Tdr, T3z, TdI, T7Q; + E T7T, T3K, TdJ, T7L, T7O; + { + E T33, T35, T32, T34; + T33 = rio[WS(ios, 1)]; + T35 = iio[-WS(ios, 62)]; + T32 = W[0]; + T34 = W[1]; + T36 = FMA(T32, T33, T34 * T35); + T7G = FNMS(T34, T33, T32 * T35); + } + { + E T38, T3a, T37, T39; + T38 = rio[WS(ios, 33)]; + T3a = iio[-WS(ios, 30)]; + T37 = W[64]; + T39 = W[65]; + T3b = FMA(T37, T38, T39 * T3a); + T7H = FNMS(T39, T38, T37 * T3a); + } + T3c = T36 + T3b; + Tdq = T7G + T7H; + { + E T3e, T3g, T3d, T3f; + T3e = rio[WS(ios, 17)]; + T3g = iio[-WS(ios, 46)]; + T3d = W[32]; + T3f = W[33]; + T3h = FMA(T3d, T3e, T3f * T3g); + T8m = FNMS(T3f, T3e, T3d * T3g); + } + { + E T3j, T3l, T3i, T3k; + T3j = rio[WS(ios, 49)]; + T3l = iio[-WS(ios, 14)]; + T3i = W[96]; + T3k = W[97]; + T3m = FMA(T3i, T3j, T3k * T3l); + T8n = FNMS(T3k, T3j, T3i * T3l); + } + T3n = T3h + T3m; + Tdr = T8m + T8n; + { + E T3t, T7R, T3y, T7S; + { + E T3q, T3s, T3p, T3r; + T3q = rio[WS(ios, 9)]; + T3s = iio[-WS(ios, 54)]; + T3p = W[16]; + T3r = W[17]; + T3t = FMA(T3p, T3q, T3r * T3s); + T7R = FNMS(T3r, T3q, T3p * T3s); + } + { + E T3v, T3x, T3u, T3w; + T3v = rio[WS(ios, 41)]; + T3x = iio[-WS(ios, 22)]; + T3u = W[80]; + T3w = W[81]; + T3y = FMA(T3u, T3v, T3w * T3x); + T7S = FNMS(T3w, T3v, T3u * T3x); + } + T3z = T3t + T3y; + TdI = T7R + T7S; + T7Q = T3t - T3y; + T7T = T7R - T7S; + } + { + E T3E, T7M, T3J, T7N; + { + E T3B, T3D, T3A, T3C; + T3B = rio[WS(ios, 57)]; + T3D = iio[-WS(ios, 6)]; + T3A = W[112]; + T3C = W[113]; + T3E = FMA(T3A, T3B, T3C * T3D); + T7M = FNMS(T3C, T3B, T3A * T3D); + } + { + E T3G, T3I, T3F, T3H; + T3G = rio[WS(ios, 25)]; + T3I = iio[-WS(ios, 38)]; + T3F = W[48]; + T3H = W[49]; + T3J = FMA(T3F, T3G, T3H * T3I); + T7N = FNMS(T3H, T3G, T3F * T3I); + } + T3K = T3E + T3J; + TdJ = T7M + T7N; + T7L = T3E - T3J; + T7O = T7M - T7N; + } + { + E T3o, T3L, TdH, TdK; + T3o = T3c + T3n; + T3L = T3z + T3K; + T3M = T3o + T3L; + TfL = T3o - T3L; + TdH = T3c - T3n; + TdK = TdI - TdJ; + TdL = TdH - TdK; + TeQ = TdH + TdK; + } + { + E TfG, TfH, T7I, T7J; + TfG = Tdq + Tdr; + TfH = TdI + TdJ; + TfI = TfG - TfH; + Tgt = TfG + TfH; + T7I = T7G - T7H; + T7J = T3h - T3m; + T7K = T7I + T7J; + Tb2 = T7I - T7J; + } + { + E T7P, T7U, T8q, T8r; + T7P = T7L - T7O; + T7U = T7Q + T7T; + T7V = KP707106781 * (T7P - T7U); + Tbe = KP707106781 * (T7U + T7P); + T8q = T7T - T7Q; + T8r = T7L + T7O; + T8s = KP707106781 * (T8q - T8r); + Tb3 = KP707106781 * (T8q + T8r); + } + { + E Tds, Tdt, T8l, T8o; + Tds = Tdq - Tdr; + Tdt = T3K - T3z; + Tdu = Tds - Tdt; + TeT = Tds + Tdt; + T8l = T36 - T3b; + T8o = T8m - T8n; + T8p = T8l - T8o; + Tbd = T8l + T8o; + } + } + { + E T4D, T9e, T4I, T9f, T4J, Te8, T4O, T8A, T4T, T8B, T4U, Te9, T56, TdS, T8G; + E T8H, T5h, TdT, T8J, T8M; + { + E T4A, T4C, T4z, T4B; + T4A = rio[WS(ios, 63)]; + T4C = iio[0]; + T4z = W[124]; + T4B = W[125]; + T4D = FMA(T4z, T4A, T4B * T4C); + T9e = FNMS(T4B, T4A, T4z * T4C); + } + { + E T4F, T4H, T4E, T4G; + T4F = rio[WS(ios, 31)]; + T4H = iio[-WS(ios, 32)]; + T4E = W[60]; + T4G = W[61]; + T4I = FMA(T4E, T4F, T4G * T4H); + T9f = FNMS(T4G, T4F, T4E * T4H); + } + T4J = T4D + T4I; + Te8 = T9e + T9f; + { + E T4L, T4N, T4K, T4M; + T4L = rio[WS(ios, 15)]; + T4N = iio[-WS(ios, 48)]; + T4K = W[28]; + T4M = W[29]; + T4O = FMA(T4K, T4L, T4M * T4N); + T8A = FNMS(T4M, T4L, T4K * T4N); + } + { + E T4Q, T4S, T4P, T4R; + T4Q = rio[WS(ios, 47)]; + T4S = iio[-WS(ios, 16)]; + T4P = W[92]; + T4R = W[93]; + T4T = FMA(T4P, T4Q, T4R * T4S); + T8B = FNMS(T4R, T4Q, T4P * T4S); + } + T4U = T4O + T4T; + Te9 = T8A + T8B; + { + E T50, T8E, T55, T8F; + { + E T4X, T4Z, T4W, T4Y; + T4X = rio[WS(ios, 7)]; + T4Z = iio[-WS(ios, 56)]; + T4W = W[12]; + T4Y = W[13]; + T50 = FMA(T4W, T4X, T4Y * T4Z); + T8E = FNMS(T4Y, T4X, T4W * T4Z); + } + { + E T52, T54, T51, T53; + T52 = rio[WS(ios, 39)]; + T54 = iio[-WS(ios, 24)]; + T51 = W[76]; + T53 = W[77]; + T55 = FMA(T51, T52, T53 * T54); + T8F = FNMS(T53, T52, T51 * T54); + } + T56 = T50 + T55; + TdS = T8E + T8F; + T8G = T8E - T8F; + T8H = T50 - T55; + } + { + E T5b, T8K, T5g, T8L; + { + E T58, T5a, T57, T59; + T58 = rio[WS(ios, 55)]; + T5a = iio[-WS(ios, 8)]; + T57 = W[108]; + T59 = W[109]; + T5b = FMA(T57, T58, T59 * T5a); + T8K = FNMS(T59, T58, T57 * T5a); + } + { + E T5d, T5f, T5c, T5e; + T5d = rio[WS(ios, 23)]; + T5f = iio[-WS(ios, 40)]; + T5c = W[44]; + T5e = W[45]; + T5g = FMA(T5c, T5d, T5e * T5f); + T8L = FNMS(T5e, T5d, T5c * T5f); + } + T5h = T5b + T5g; + TdT = T8K + T8L; + T8J = T5b - T5g; + T8M = T8K - T8L; + } + { + E T4V, T5i, Tea, Teb; + T4V = T4J + T4U; + T5i = T56 + T5h; + T5j = T4V + T5i; + TfR = T4V - T5i; + Tea = Te8 - Te9; + Teb = T5h - T56; + Tec = Tea - Teb; + Tf0 = Tea + Teb; + } + { + E TfW, TfX, T8z, T8C; + TfW = Te8 + Te9; + TfX = TdS + TdT; + TfY = TfW - TfX; + Tgy = TfW + TfX; + T8z = T4D - T4I; + T8C = T8A - T8B; + T8D = T8z - T8C; + Tbl = T8z + T8C; + } + { + E T8I, T8N, T9j, T9k; + T8I = T8G - T8H; + T8N = T8J + T8M; + T8O = KP707106781 * (T8I - T8N); + Tbx = KP707106781 * (T8I + T8N); + T9j = T8J - T8M; + T9k = T8H + T8G; + T9l = KP707106781 * (T9j - T9k); + Tbm = KP707106781 * (T9k + T9j); + } + { + E TdR, TdU, T9g, T9h; + TdR = T4J - T4U; + TdU = TdS - TdT; + TdV = TdR - TdU; + TeX = TdR + TdU; + T9g = T9e - T9f; + T9h = T4O - T4T; + T9i = T9g + T9h; + Tbw = T9g - T9h; + } + } + { + E T5u, TdW, T8S, T8V, T62, Te3, T94, T99, T5F, TdX, T8T, T8Y, T5R, Te2, T93; + E T96; + { + E T5o, T8Q, T5t, T8R; + { + E T5l, T5n, T5k, T5m; + T5l = rio[WS(ios, 3)]; + T5n = iio[-WS(ios, 60)]; + T5k = W[4]; + T5m = W[5]; + T5o = FMA(T5k, T5l, T5m * T5n); + T8Q = FNMS(T5m, T5l, T5k * T5n); + } + { + E T5q, T5s, T5p, T5r; + T5q = rio[WS(ios, 35)]; + T5s = iio[-WS(ios, 28)]; + T5p = W[68]; + T5r = W[69]; + T5t = FMA(T5p, T5q, T5r * T5s); + T8R = FNMS(T5r, T5q, T5p * T5s); + } + T5u = T5o + T5t; + TdW = T8Q + T8R; + T8S = T8Q - T8R; + T8V = T5o - T5t; + } + { + E T5W, T97, T61, T98; + { + E T5T, T5V, T5S, T5U; + T5T = rio[WS(ios, 11)]; + T5V = iio[-WS(ios, 52)]; + T5S = W[20]; + T5U = W[21]; + T5W = FMA(T5S, T5T, T5U * T5V); + T97 = FNMS(T5U, T5T, T5S * T5V); + } + { + E T5Y, T60, T5X, T5Z; + T5Y = rio[WS(ios, 43)]; + T60 = iio[-WS(ios, 20)]; + T5X = W[84]; + T5Z = W[85]; + T61 = FMA(T5X, T5Y, T5Z * T60); + T98 = FNMS(T5Z, T5Y, T5X * T60); + } + T62 = T5W + T61; + Te3 = T97 + T98; + T94 = T5W - T61; + T99 = T97 - T98; + } + { + E T5z, T8W, T5E, T8X; + { + E T5w, T5y, T5v, T5x; + T5w = rio[WS(ios, 19)]; + T5y = iio[-WS(ios, 44)]; + T5v = W[36]; + T5x = W[37]; + T5z = FMA(T5v, T5w, T5x * T5y); + T8W = FNMS(T5x, T5w, T5v * T5y); + } + { + E T5B, T5D, T5A, T5C; + T5B = rio[WS(ios, 51)]; + T5D = iio[-WS(ios, 12)]; + T5A = W[100]; + T5C = W[101]; + T5E = FMA(T5A, T5B, T5C * T5D); + T8X = FNMS(T5C, T5B, T5A * T5D); + } + T5F = T5z + T5E; + TdX = T8W + T8X; + T8T = T5z - T5E; + T8Y = T8W - T8X; + } + { + E T5L, T91, T5Q, T92; + { + E T5I, T5K, T5H, T5J; + T5I = rio[WS(ios, 59)]; + T5K = iio[-WS(ios, 4)]; + T5H = W[116]; + T5J = W[117]; + T5L = FMA(T5H, T5I, T5J * T5K); + T91 = FNMS(T5J, T5I, T5H * T5K); + } + { + E T5N, T5P, T5M, T5O; + T5N = rio[WS(ios, 27)]; + T5P = iio[-WS(ios, 36)]; + T5M = W[52]; + T5O = W[53]; + T5Q = FMA(T5M, T5N, T5O * T5P); + T92 = FNMS(T5O, T5N, T5M * T5P); + } + T5R = T5L + T5Q; + Te2 = T91 + T92; + T93 = T91 - T92; + T96 = T5L - T5Q; + } + { + E T5G, T63, Te1, Te4; + T5G = T5u + T5F; + T63 = T5R + T62; + T64 = T5G + T63; + TfZ = T63 - T5G; + Te1 = T5R - T62; + Te4 = Te2 - Te3; + Te5 = Te1 + Te4; + Ted = Te1 - Te4; + } + { + E TfS, TfT, T8U, T8Z; + TfS = TdW + TdX; + TfT = Te2 + Te3; + TfU = TfS - TfT; + Tgz = TfS + TfT; + T8U = T8S + T8T; + T8Z = T8V - T8Y; + T90 = FNMS(KP923879532, T8Z, KP382683432 * T8U); + T9o = FMA(KP923879532, T8U, KP382683432 * T8Z); + } + { + E T95, T9a, Tbr, Tbs; + T95 = T93 + T94; + T9a = T96 - T99; + T9b = FMA(KP382683432, T95, KP923879532 * T9a); + T9n = FNMS(KP923879532, T95, KP382683432 * T9a); + Tbr = T93 - T94; + Tbs = T96 + T99; + Tbt = FMA(KP923879532, Tbr, KP382683432 * Tbs); + Tbz = FNMS(KP382683432, Tbr, KP923879532 * Tbs); + } + { + E TdY, TdZ, Tbo, Tbp; + TdY = TdW - TdX; + TdZ = T5u - T5F; + Te0 = TdY - TdZ; + Tee = TdZ + TdY; + Tbo = T8S - T8T; + Tbp = T8V + T8Y; + Tbq = FNMS(KP382683432, Tbp, KP923879532 * Tbo); + TbA = FMA(KP382683432, Tbo, KP923879532 * Tbp); + } + } + { + E T3X, TdB, T8a, T8d, T4v, Tdx, T80, T85, T48, TdC, T8b, T8g, T4k, Tdw, T7X; + E T84; + { + E T3R, T88, T3W, T89; + { + E T3O, T3Q, T3N, T3P; + T3O = rio[WS(ios, 5)]; + T3Q = iio[-WS(ios, 58)]; + T3N = W[8]; + T3P = W[9]; + T3R = FMA(T3N, T3O, T3P * T3Q); + T88 = FNMS(T3P, T3O, T3N * T3Q); + } + { + E T3T, T3V, T3S, T3U; + T3T = rio[WS(ios, 37)]; + T3V = iio[-WS(ios, 26)]; + T3S = W[72]; + T3U = W[73]; + T3W = FMA(T3S, T3T, T3U * T3V); + T89 = FNMS(T3U, T3T, T3S * T3V); + } + T3X = T3R + T3W; + TdB = T88 + T89; + T8a = T88 - T89; + T8d = T3R - T3W; + } + { + E T4p, T7Y, T4u, T7Z; + { + E T4m, T4o, T4l, T4n; + T4m = rio[WS(ios, 13)]; + T4o = iio[-WS(ios, 50)]; + T4l = W[24]; + T4n = W[25]; + T4p = FMA(T4l, T4m, T4n * T4o); + T7Y = FNMS(T4n, T4m, T4l * T4o); + } + { + E T4r, T4t, T4q, T4s; + T4r = rio[WS(ios, 45)]; + T4t = iio[-WS(ios, 18)]; + T4q = W[88]; + T4s = W[89]; + T4u = FMA(T4q, T4r, T4s * T4t); + T7Z = FNMS(T4s, T4r, T4q * T4t); + } + T4v = T4p + T4u; + Tdx = T7Y + T7Z; + T80 = T7Y - T7Z; + T85 = T4p - T4u; + } + { + E T42, T8e, T47, T8f; + { + E T3Z, T41, T3Y, T40; + T3Z = rio[WS(ios, 21)]; + T41 = iio[-WS(ios, 42)]; + T3Y = W[40]; + T40 = W[41]; + T42 = FMA(T3Y, T3Z, T40 * T41); + T8e = FNMS(T40, T3Z, T3Y * T41); + } + { + E T44, T46, T43, T45; + T44 = rio[WS(ios, 53)]; + T46 = iio[-WS(ios, 10)]; + T43 = W[104]; + T45 = W[105]; + T47 = FMA(T43, T44, T45 * T46); + T8f = FNMS(T45, T44, T43 * T46); + } + T48 = T42 + T47; + TdC = T8e + T8f; + T8b = T42 - T47; + T8g = T8e - T8f; + } + { + E T4e, T82, T4j, T83; + { + E T4b, T4d, T4a, T4c; + T4b = rio[WS(ios, 61)]; + T4d = iio[-WS(ios, 2)]; + T4a = W[120]; + T4c = W[121]; + T4e = FMA(T4a, T4b, T4c * T4d); + T82 = FNMS(T4c, T4b, T4a * T4d); + } + { + E T4g, T4i, T4f, T4h; + T4g = rio[WS(ios, 29)]; + T4i = iio[-WS(ios, 34)]; + T4f = W[56]; + T4h = W[57]; + T4j = FMA(T4f, T4g, T4h * T4i); + T83 = FNMS(T4h, T4g, T4f * T4i); + } + T4k = T4e + T4j; + Tdw = T82 + T83; + T7X = T4e - T4j; + T84 = T82 - T83; + } + { + E T49, T4w, TdA, TdD; + T49 = T3X + T48; + T4w = T4k + T4v; + T4x = T49 + T4w; + TfJ = T4w - T49; + TdA = T3X - T48; + TdD = TdB - TdC; + TdE = TdA + TdD; + TdM = TdD - TdA; + } + { + E TfM, TfN, T81, T86; + TfM = TdB + TdC; + TfN = Tdw + Tdx; + TfO = TfM - TfN; + Tgu = TfM + TfN; + T81 = T7X - T80; + T86 = T84 + T85; + T87 = FNMS(KP923879532, T86, KP382683432 * T81); + T8v = FMA(KP382683432, T86, KP923879532 * T81); + } + { + E T8c, T8h, Tb8, Tb9; + T8c = T8a + T8b; + T8h = T8d - T8g; + T8i = FMA(KP923879532, T8c, KP382683432 * T8h); + T8u = FNMS(KP923879532, T8h, KP382683432 * T8c); + Tb8 = T8a - T8b; + Tb9 = T8d + T8g; + Tba = FMA(KP382683432, Tb8, KP923879532 * Tb9); + Tbg = FNMS(KP382683432, Tb9, KP923879532 * Tb8); + } + { + E Tdv, Tdy, Tb5, Tb6; + Tdv = T4k - T4v; + Tdy = Tdw - Tdx; + Tdz = Tdv - Tdy; + TdN = Tdv + Tdy; + Tb5 = T7X + T80; + Tb6 = T84 - T85; + Tb7 = FNMS(KP382683432, Tb6, KP923879532 * Tb5); + Tbh = FMA(KP923879532, Tb6, KP382683432 * Tb5); + } + } + { + E T1t, Tgn, TgK, TgL, TgV, Th1, T30, Th0, T66, TgX, Tgw, TgE, TgB, TgF, Tgq; + E TgM; + { + E TH, T1s, TgI, TgJ; + TH = Tj + TG; + T1s = T14 + T1r; + T1t = TH + T1s; + Tgn = TH - T1s; + TgI = Tgt + Tgu; + TgJ = Tgy + Tgz; + TgK = TgI - TgJ; + TgL = TgI + TgJ; + } + { + E TgN, TgU, T2e, T2Z; + TgN = Tfq + Tfr; + TgU = TgO + TgT; + TgV = TgN + TgU; + Th1 = TgU - TgN; + T2e = T1Q + T2d; + T2Z = T2B + T2Y; + T30 = T2e + T2Z; + Th0 = T2Z - T2e; + } + { + E T4y, T65, Tgs, Tgv; + T4y = T3M + T4x; + T65 = T5j + T64; + T66 = T4y + T65; + TgX = T65 - T4y; + Tgs = T3M - T4x; + Tgv = Tgt - Tgu; + Tgw = Tgs + Tgv; + TgE = Tgv - Tgs; + } + { + E Tgx, TgA, Tgo, Tgp; + Tgx = T5j - T64; + TgA = Tgy - Tgz; + TgB = Tgx - TgA; + TgF = Tgx + TgA; + Tgo = Tfu + Tfv; + Tgp = TfA + TfB; + Tgq = Tgo - Tgp; + TgM = Tgo + Tgp; + } + { + E T31, TgW, TgH, TgY; + T31 = T1t + T30; + iio[-WS(ios, 32)] = T31 - T66; + rio[0] = T31 + T66; + TgW = TgM + TgV; + rio[WS(ios, 32)] = TgL - TgW; + iio[0] = TgL + TgW; + TgH = T1t - T30; + iio[-WS(ios, 48)] = TgH - TgK; + rio[WS(ios, 16)] = TgH + TgK; + TgY = TgV - TgM; + rio[WS(ios, 48)] = TgX - TgY; + iio[-WS(ios, 16)] = TgX + TgY; + } + { + E Tgr, TgC, TgZ, Th2; + Tgr = Tgn + Tgq; + TgC = KP707106781 * (Tgw + TgB); + iio[-WS(ios, 40)] = Tgr - TgC; + rio[WS(ios, 8)] = Tgr + TgC; + TgZ = KP707106781 * (TgE + TgF); + Th2 = Th0 + Th1; + rio[WS(ios, 40)] = TgZ - Th2; + iio[-WS(ios, 8)] = TgZ + Th2; + } + { + E TgD, TgG, Th3, Th4; + TgD = Tgn - Tgq; + TgG = KP707106781 * (TgE - TgF); + iio[-WS(ios, 56)] = TgD - TgG; + rio[WS(ios, 24)] = TgD + TgG; + Th3 = KP707106781 * (TgB - Tgw); + Th4 = Th1 - Th0; + rio[WS(ios, 56)] = Th3 - Th4; + iio[-WS(ios, 24)] = Th3 + Th4; + } + } + { + E Tft, Tg7, Tgh, Tgl, Th9, Thf, TfE, Th6, TfQ, Tg4, Tga, The, Tge, Tgk, Tg1; + E Tg5; + { + E Tfp, Tfs, Tgf, Tgg; + Tfp = Tj - TG; + Tfs = Tfq - Tfr; + Tft = Tfp - Tfs; + Tg7 = Tfp + Tfs; + Tgf = TfR + TfU; + Tgg = TfY + TfZ; + Tgh = FNMS(KP382683432, Tgg, KP923879532 * Tgf); + Tgl = FMA(KP923879532, Tgg, KP382683432 * Tgf); + } + { + E Th7, Th8, Tfy, TfD; + Th7 = T1r - T14; + Th8 = TgT - TgO; + Th9 = Th7 + Th8; + Thf = Th8 - Th7; + Tfy = Tfw - Tfx; + TfD = Tfz + TfC; + TfE = KP707106781 * (Tfy - TfD); + Th6 = KP707106781 * (Tfy + TfD); + } + { + E TfK, TfP, Tg8, Tg9; + TfK = TfI - TfJ; + TfP = TfL - TfO; + TfQ = FMA(KP923879532, TfK, KP382683432 * TfP); + Tg4 = FNMS(KP923879532, TfP, KP382683432 * TfK); + Tg8 = Tfx + Tfw; + Tg9 = Tfz - TfC; + Tga = KP707106781 * (Tg8 + Tg9); + The = KP707106781 * (Tg9 - Tg8); + } + { + E Tgc, Tgd, TfV, Tg0; + Tgc = TfI + TfJ; + Tgd = TfL + TfO; + Tge = FMA(KP382683432, Tgc, KP923879532 * Tgd); + Tgk = FNMS(KP382683432, Tgd, KP923879532 * Tgc); + TfV = TfR - TfU; + Tg0 = TfY - TfZ; + Tg1 = FNMS(KP923879532, Tg0, KP382683432 * TfV); + Tg5 = FMA(KP382683432, Tg0, KP923879532 * TfV); + } + { + E TfF, Tg2, Thd, Thg; + TfF = Tft + TfE; + Tg2 = TfQ + Tg1; + iio[-WS(ios, 44)] = TfF - Tg2; + rio[WS(ios, 12)] = TfF + Tg2; + Thd = Tg4 + Tg5; + Thg = The + Thf; + rio[WS(ios, 44)] = Thd - Thg; + iio[-WS(ios, 12)] = Thd + Thg; + } + { + E Tg3, Tg6, Thh, Thi; + Tg3 = Tft - TfE; + Tg6 = Tg4 - Tg5; + iio[-WS(ios, 60)] = Tg3 - Tg6; + rio[WS(ios, 28)] = Tg3 + Tg6; + Thh = Tg1 - TfQ; + Thi = Thf - The; + rio[WS(ios, 60)] = Thh - Thi; + iio[-WS(ios, 28)] = Thh + Thi; + } + { + E Tgb, Tgi, Th5, Tha; + Tgb = Tg7 + Tga; + Tgi = Tge + Tgh; + iio[-WS(ios, 36)] = Tgb - Tgi; + rio[WS(ios, 4)] = Tgb + Tgi; + Th5 = Tgk + Tgl; + Tha = Th6 + Th9; + rio[WS(ios, 36)] = Th5 - Tha; + iio[-WS(ios, 4)] = Th5 + Tha; + } + { + E Tgj, Tgm, Thb, Thc; + Tgj = Tg7 - Tga; + Tgm = Tgk - Tgl; + iio[-WS(ios, 52)] = Tgj - Tgm; + rio[WS(ios, 20)] = Tgj + Tgm; + Thb = Tgh - Tge; + Thc = Th9 - Th6; + rio[WS(ios, 52)] = Thb - Thc; + iio[-WS(ios, 20)] = Thb + Thc; + } + } + { + E Td1, Ten, Tdo, ThA, ThD, ThJ, Teq, ThI, Teh, TeB, Tel, Tex, TdQ, TeA, Tek; + E Teu; + { + E TcP, Td0, Teo, Tep; + TcP = TcL - TcO; + Td0 = KP707106781 * (TcU - TcZ); + Td1 = TcP - Td0; + Ten = TcP + Td0; + { + E Tdc, Tdn, ThB, ThC; + Tdc = FNMS(KP923879532, Tdb, KP382683432 * Td6); + Tdn = FMA(KP382683432, Tdh, KP923879532 * Tdm); + Tdo = Tdc - Tdn; + ThA = Tdc + Tdn; + ThB = KP707106781 * (TeF - TeE); + ThC = Thn - Thm; + ThD = ThB + ThC; + ThJ = ThC - ThB; + } + Teo = FMA(KP923879532, Td6, KP382683432 * Tdb); + Tep = FNMS(KP923879532, Tdh, KP382683432 * Tdm); + Teq = Teo + Tep; + ThI = Tep - Teo; + { + E Te7, Tev, Teg, Tew, Te6, Tef; + Te6 = KP707106781 * (Te0 - Te5); + Te7 = TdV - Te6; + Tev = TdV + Te6; + Tef = KP707106781 * (Ted - Tee); + Teg = Tec - Tef; + Tew = Tec + Tef; + Teh = FNMS(KP980785280, Teg, KP195090322 * Te7); + TeB = FMA(KP831469612, Tew, KP555570233 * Tev); + Tel = FMA(KP195090322, Teg, KP980785280 * Te7); + Tex = FNMS(KP555570233, Tew, KP831469612 * Tev); + } + { + E TdG, Tes, TdP, Tet, TdF, TdO; + TdF = KP707106781 * (Tdz - TdE); + TdG = Tdu - TdF; + Tes = Tdu + TdF; + TdO = KP707106781 * (TdM - TdN); + TdP = TdL - TdO; + Tet = TdL + TdO; + TdQ = FMA(KP980785280, TdG, KP195090322 * TdP); + TeA = FNMS(KP555570233, Tet, KP831469612 * Tes); + Tek = FNMS(KP980785280, TdP, KP195090322 * TdG); + Teu = FMA(KP555570233, Tes, KP831469612 * Tet); + } + } + { + E Tdp, Tei, ThH, ThK; + Tdp = Td1 + Tdo; + Tei = TdQ + Teh; + iio[-WS(ios, 46)] = Tdp - Tei; + rio[WS(ios, 14)] = Tdp + Tei; + ThH = Tek + Tel; + ThK = ThI + ThJ; + rio[WS(ios, 46)] = ThH - ThK; + iio[-WS(ios, 14)] = ThH + ThK; + } + { + E Tej, Tem, ThL, ThM; + Tej = Td1 - Tdo; + Tem = Tek - Tel; + iio[-WS(ios, 62)] = Tej - Tem; + rio[WS(ios, 30)] = Tej + Tem; + ThL = Teh - TdQ; + ThM = ThJ - ThI; + rio[WS(ios, 62)] = ThL - ThM; + iio[-WS(ios, 30)] = ThL + ThM; + } + { + E Ter, Tey, Thz, ThE; + Ter = Ten + Teq; + Tey = Teu + Tex; + iio[-WS(ios, 38)] = Ter - Tey; + rio[WS(ios, 6)] = Ter + Tey; + Thz = TeA + TeB; + ThE = ThA + ThD; + rio[WS(ios, 38)] = Thz - ThE; + iio[-WS(ios, 6)] = Thz + ThE; + } + { + E Tez, TeC, ThF, ThG; + Tez = Ten - Teq; + TeC = TeA - TeB; + iio[-WS(ios, 54)] = Tez - TeC; + rio[WS(ios, 22)] = Tez + TeC; + ThF = Tex - Teu; + ThG = ThD - ThA; + rio[WS(ios, 54)] = ThF - ThG; + iio[-WS(ios, 22)] = ThF + ThG; + } + } + { + E TeH, Tf9, TeO, Thk, Thp, Thv, Tfc, Thu, Tf3, Tfn, Tf7, Tfj, TeW, Tfm, Tf6; + E Tfg; + { + E TeD, TeG, Tfa, Tfb; + TeD = TcL + TcO; + TeG = KP707106781 * (TeE + TeF); + TeH = TeD - TeG; + Tf9 = TeD + TeG; + { + E TeK, TeN, Thl, Tho; + TeK = FNMS(KP382683432, TeJ, KP923879532 * TeI); + TeN = FMA(KP923879532, TeL, KP382683432 * TeM); + TeO = TeK - TeN; + Thk = TeK + TeN; + Thl = KP707106781 * (TcU + TcZ); + Tho = Thm + Thn; + Thp = Thl + Tho; + Thv = Tho - Thl; + } + Tfa = FMA(KP382683432, TeI, KP923879532 * TeJ); + Tfb = FNMS(KP382683432, TeL, KP923879532 * TeM); + Tfc = Tfa + Tfb; + Thu = Tfb - Tfa; + { + E TeZ, Tfh, Tf2, Tfi, TeY, Tf1; + TeY = KP707106781 * (Tee + Ted); + TeZ = TeX - TeY; + Tfh = TeX + TeY; + Tf1 = KP707106781 * (Te0 + Te5); + Tf2 = Tf0 - Tf1; + Tfi = Tf0 + Tf1; + Tf3 = FNMS(KP831469612, Tf2, KP555570233 * TeZ); + Tfn = FMA(KP195090322, Tfh, KP980785280 * Tfi); + Tf7 = FMA(KP831469612, TeZ, KP555570233 * Tf2); + Tfj = FNMS(KP195090322, Tfi, KP980785280 * Tfh); + } + { + E TeS, Tfe, TeV, Tff, TeR, TeU; + TeR = KP707106781 * (TdE + Tdz); + TeS = TeQ - TeR; + Tfe = TeQ + TeR; + TeU = KP707106781 * (TdM + TdN); + TeV = TeT - TeU; + Tff = TeT + TeU; + TeW = FMA(KP555570233, TeS, KP831469612 * TeV); + Tfm = FNMS(KP195090322, Tfe, KP980785280 * Tff); + Tf6 = FNMS(KP831469612, TeS, KP555570233 * TeV); + Tfg = FMA(KP980785280, Tfe, KP195090322 * Tff); + } + } + { + E TeP, Tf4, Tht, Thw; + TeP = TeH + TeO; + Tf4 = TeW + Tf3; + iio[-WS(ios, 42)] = TeP - Tf4; + rio[WS(ios, 10)] = TeP + Tf4; + Tht = Tf6 + Tf7; + Thw = Thu + Thv; + rio[WS(ios, 42)] = Tht - Thw; + iio[-WS(ios, 10)] = Tht + Thw; + } + { + E Tf5, Tf8, Thx, Thy; + Tf5 = TeH - TeO; + Tf8 = Tf6 - Tf7; + iio[-WS(ios, 58)] = Tf5 - Tf8; + rio[WS(ios, 26)] = Tf5 + Tf8; + Thx = Tf3 - TeW; + Thy = Thv - Thu; + rio[WS(ios, 58)] = Thx - Thy; + iio[-WS(ios, 26)] = Thx + Thy; + } + { + E Tfd, Tfk, Thj, Thq; + Tfd = Tf9 + Tfc; + Tfk = Tfg + Tfj; + iio[-WS(ios, 34)] = Tfd - Tfk; + rio[WS(ios, 2)] = Tfd + Tfk; + Thj = Tfm + Tfn; + Thq = Thk + Thp; + rio[WS(ios, 34)] = Thj - Thq; + iio[-WS(ios, 2)] = Thj + Thq; + } + { + E Tfl, Tfo, Thr, Ths; + Tfl = Tf9 - Tfc; + Tfo = Tfm - Tfn; + iio[-WS(ios, 50)] = Tfl - Tfo; + rio[WS(ios, 18)] = Tfl + Tfo; + Thr = Tfj - Tfg; + Ths = Thp - Thk; + rio[WS(ios, 50)] = Thr - Ths; + iio[-WS(ios, 18)] = Thr + Ths; + } + } + { + E T6L, T9x, TiD, TiJ, T7E, TiI, T9A, TiA, T8y, T9K, T9u, T9E, T9r, T9L, T9v; + E T9H; + { + E T6n, T6K, TiB, TiC; + T6n = T6b - T6m; + T6K = T6y - T6J; + T6L = T6n - T6K; + T9x = T6n + T6K; + TiB = T9P - T9O; + TiC = Tin - Tim; + TiD = TiB + TiC; + TiJ = TiC - TiB; + } + { + E T7c, T9y, T7D, T9z; + { + E T72, T7b, T7t, T7C; + T72 = T6Q - T71; + T7b = T77 - T7a; + T7c = FNMS(KP980785280, T7b, KP195090322 * T72); + T9y = FMA(KP980785280, T72, KP195090322 * T7b); + T7t = T7h - T7s; + T7C = T7y - T7B; + T7D = FMA(KP195090322, T7t, KP980785280 * T7C); + T9z = FNMS(KP980785280, T7t, KP195090322 * T7C); + } + T7E = T7c - T7D; + TiI = T9z - T9y; + T9A = T9y + T9z; + TiA = T7c + T7D; + } + { + E T8k, T9C, T8x, T9D; + { + E T7W, T8j, T8t, T8w; + T7W = T7K - T7V; + T8j = T87 - T8i; + T8k = T7W - T8j; + T9C = T7W + T8j; + T8t = T8p - T8s; + T8w = T8u - T8v; + T8x = T8t - T8w; + T9D = T8t + T8w; + } + T8y = FMA(KP995184726, T8k, KP098017140 * T8x); + T9K = FNMS(KP634393284, T9D, KP773010453 * T9C); + T9u = FNMS(KP995184726, T8x, KP098017140 * T8k); + T9E = FMA(KP634393284, T9C, KP773010453 * T9D); + } + { + E T9d, T9F, T9q, T9G; + { + E T8P, T9c, T9m, T9p; + T8P = T8D - T8O; + T9c = T90 - T9b; + T9d = T8P - T9c; + T9F = T8P + T9c; + T9m = T9i - T9l; + T9p = T9n - T9o; + T9q = T9m - T9p; + T9G = T9m + T9p; + } + T9r = FNMS(KP995184726, T9q, KP098017140 * T9d); + T9L = FMA(KP773010453, T9G, KP634393284 * T9F); + T9v = FMA(KP098017140, T9q, KP995184726 * T9d); + T9H = FNMS(KP634393284, T9G, KP773010453 * T9F); + } + { + E T7F, T9s, TiH, TiK; + T7F = T6L + T7E; + T9s = T8y + T9r; + iio[-WS(ios, 47)] = T7F - T9s; + rio[WS(ios, 15)] = T7F + T9s; + TiH = T9u + T9v; + TiK = TiI + TiJ; + rio[WS(ios, 47)] = TiH - TiK; + iio[-WS(ios, 15)] = TiH + TiK; + } + { + E T9t, T9w, TiL, TiM; + T9t = T6L - T7E; + T9w = T9u - T9v; + iio[-WS(ios, 63)] = T9t - T9w; + rio[WS(ios, 31)] = T9t + T9w; + TiL = T9r - T8y; + TiM = TiJ - TiI; + rio[WS(ios, 63)] = TiL - TiM; + iio[-WS(ios, 31)] = TiL + TiM; + } + { + E T9B, T9I, Tiz, TiE; + T9B = T9x + T9A; + T9I = T9E + T9H; + iio[-WS(ios, 39)] = T9B - T9I; + rio[WS(ios, 7)] = T9B + T9I; + Tiz = T9K + T9L; + TiE = TiA + TiD; + rio[WS(ios, 39)] = Tiz - TiE; + iio[-WS(ios, 7)] = Tiz + TiE; + } + { + E T9J, T9M, TiF, TiG; + T9J = T9x - T9A; + T9M = T9K - T9L; + iio[-WS(ios, 55)] = T9J - T9M; + rio[WS(ios, 23)] = T9J + T9M; + TiF = T9H - T9E; + TiG = TiD - TiA; + rio[WS(ios, 55)] = TiF - TiG; + iio[-WS(ios, 23)] = TiF + TiG; + } + } + { + E TaL, TbJ, Ti9, Tif, Tb0, Tie, TbM, Ti6, Tbk, TbW, TbG, TbQ, TbD, TbX, TbH; + E TbT; + { + E TaD, TaK, Ti7, Ti8; + TaD = Taz - TaC; + TaK = TaG - TaJ; + TaL = TaD - TaK; + TbJ = TaD + TaK; + Ti7 = Tc1 - Tc0; + Ti8 = ThT - ThQ; + Ti9 = Ti7 + Ti8; + Tif = Ti8 - Ti7; + } + { + E TaS, TbK, TaZ, TbL; + { + E TaO, TaR, TaV, TaY; + TaO = TaM - TaN; + TaR = TaP - TaQ; + TaS = FNMS(KP831469612, TaR, KP555570233 * TaO); + TbK = FMA(KP555570233, TaR, KP831469612 * TaO); + TaV = TaT - TaU; + TaY = TaW - TaX; + TaZ = FMA(KP831469612, TaV, KP555570233 * TaY); + TbL = FNMS(KP831469612, TaY, KP555570233 * TaV); + } + Tb0 = TaS - TaZ; + Tie = TbL - TbK; + TbM = TbK + TbL; + Ti6 = TaS + TaZ; + } + { + E Tbc, TbO, Tbj, TbP; + { + E Tb4, Tbb, Tbf, Tbi; + Tb4 = Tb2 - Tb3; + Tbb = Tb7 - Tba; + Tbc = Tb4 - Tbb; + TbO = Tb4 + Tbb; + Tbf = Tbd - Tbe; + Tbi = Tbg - Tbh; + Tbj = Tbf - Tbi; + TbP = Tbf + Tbi; + } + Tbk = FMA(KP956940335, Tbc, KP290284677 * Tbj); + TbW = FNMS(KP471396736, TbP, KP881921264 * TbO); + TbG = FNMS(KP956940335, Tbj, KP290284677 * Tbc); + TbQ = FMA(KP471396736, TbO, KP881921264 * TbP); + } + { + E Tbv, TbR, TbC, TbS; + { + E Tbn, Tbu, Tby, TbB; + Tbn = Tbl - Tbm; + Tbu = Tbq - Tbt; + Tbv = Tbn - Tbu; + TbR = Tbn + Tbu; + Tby = Tbw - Tbx; + TbB = Tbz - TbA; + TbC = Tby - TbB; + TbS = Tby + TbB; + } + TbD = FNMS(KP956940335, TbC, KP290284677 * Tbv); + TbX = FMA(KP881921264, TbS, KP471396736 * TbR); + TbH = FMA(KP290284677, TbC, KP956940335 * Tbv); + TbT = FNMS(KP471396736, TbS, KP881921264 * TbR); + } + { + E Tb1, TbE, Tid, Tig; + Tb1 = TaL + Tb0; + TbE = Tbk + TbD; + iio[-WS(ios, 45)] = Tb1 - TbE; + rio[WS(ios, 13)] = Tb1 + TbE; + Tid = TbG + TbH; + Tig = Tie + Tif; + rio[WS(ios, 45)] = Tid - Tig; + iio[-WS(ios, 13)] = Tid + Tig; + } + { + E TbF, TbI, Tih, Tii; + TbF = TaL - Tb0; + TbI = TbG - TbH; + iio[-WS(ios, 61)] = TbF - TbI; + rio[WS(ios, 29)] = TbF + TbI; + Tih = TbD - Tbk; + Tii = Tif - Tie; + rio[WS(ios, 61)] = Tih - Tii; + iio[-WS(ios, 29)] = Tih + Tii; + } + { + E TbN, TbU, Ti5, Tia; + TbN = TbJ + TbM; + TbU = TbQ + TbT; + iio[-WS(ios, 37)] = TbN - TbU; + rio[WS(ios, 5)] = TbN + TbU; + Ti5 = TbW + TbX; + Tia = Ti6 + Ti9; + rio[WS(ios, 37)] = Ti5 - Tia; + iio[-WS(ios, 5)] = Ti5 + Tia; + } + { + E TbV, TbY, Tib, Tic; + TbV = TbJ - TbM; + TbY = TbW - TbX; + iio[-WS(ios, 53)] = TbV - TbY; + rio[WS(ios, 21)] = TbV + TbY; + Tib = TbT - TbQ; + Tic = Ti9 - Ti6; + rio[WS(ios, 53)] = Tib - Tic; + iio[-WS(ios, 21)] = Tib + Tic; + } + } + { + E Tc3, Tcv, ThV, Ti1, Tca, Ti0, Tcy, ThO, Tci, TcI, Tcs, TcC, Tcp, TcJ, Tct; + E TcF; + { + E TbZ, Tc2, ThP, ThU; + TbZ = Taz + TaC; + Tc2 = Tc0 + Tc1; + Tc3 = TbZ - Tc2; + Tcv = TbZ + Tc2; + ThP = TaG + TaJ; + ThU = ThQ + ThT; + ThV = ThP + ThU; + Ti1 = ThU - ThP; + } + { + E Tc6, Tcw, Tc9, Tcx; + { + E Tc4, Tc5, Tc7, Tc8; + Tc4 = TaM + TaN; + Tc5 = TaP + TaQ; + Tc6 = FNMS(KP195090322, Tc5, KP980785280 * Tc4); + Tcw = FMA(KP980785280, Tc5, KP195090322 * Tc4); + Tc7 = TaT + TaU; + Tc8 = TaW + TaX; + Tc9 = FMA(KP195090322, Tc7, KP980785280 * Tc8); + Tcx = FNMS(KP195090322, Tc8, KP980785280 * Tc7); + } + Tca = Tc6 - Tc9; + Ti0 = Tcx - Tcw; + Tcy = Tcw + Tcx; + ThO = Tc6 + Tc9; + } + { + E Tce, TcA, Tch, TcB; + { + E Tcc, Tcd, Tcf, Tcg; + Tcc = Tbd + Tbe; + Tcd = Tba + Tb7; + Tce = Tcc - Tcd; + TcA = Tcc + Tcd; + Tcf = Tb2 + Tb3; + Tcg = Tbg + Tbh; + Tch = Tcf - Tcg; + TcB = Tcf + Tcg; + } + Tci = FMA(KP634393284, Tce, KP773010453 * Tch); + TcI = FNMS(KP098017140, TcA, KP995184726 * TcB); + Tcs = FNMS(KP773010453, Tce, KP634393284 * Tch); + TcC = FMA(KP995184726, TcA, KP098017140 * TcB); + } + { + E Tcl, TcD, Tco, TcE; + { + E Tcj, Tck, Tcm, Tcn; + Tcj = Tbl + Tbm; + Tck = TbA + Tbz; + Tcl = Tcj - Tck; + TcD = Tcj + Tck; + Tcm = Tbw + Tbx; + Tcn = Tbq + Tbt; + Tco = Tcm - Tcn; + TcE = Tcm + Tcn; + } + Tcp = FNMS(KP773010453, Tco, KP634393284 * Tcl); + TcJ = FMA(KP098017140, TcD, KP995184726 * TcE); + Tct = FMA(KP773010453, Tcl, KP634393284 * Tco); + TcF = FNMS(KP098017140, TcE, KP995184726 * TcD); + } + { + E Tcb, Tcq, ThZ, Ti2; + Tcb = Tc3 + Tca; + Tcq = Tci + Tcp; + iio[-WS(ios, 41)] = Tcb - Tcq; + rio[WS(ios, 9)] = Tcb + Tcq; + ThZ = Tcs + Tct; + Ti2 = Ti0 + Ti1; + rio[WS(ios, 41)] = ThZ - Ti2; + iio[-WS(ios, 9)] = ThZ + Ti2; + } + { + E Tcr, Tcu, Ti3, Ti4; + Tcr = Tc3 - Tca; + Tcu = Tcs - Tct; + iio[-WS(ios, 57)] = Tcr - Tcu; + rio[WS(ios, 25)] = Tcr + Tcu; + Ti3 = Tcp - Tci; + Ti4 = Ti1 - Ti0; + rio[WS(ios, 57)] = Ti3 - Ti4; + iio[-WS(ios, 25)] = Ti3 + Ti4; + } + { + E Tcz, TcG, ThN, ThW; + Tcz = Tcv + Tcy; + TcG = TcC + TcF; + iio[-WS(ios, 33)] = Tcz - TcG; + rio[WS(ios, 1)] = Tcz + TcG; + ThN = TcI + TcJ; + ThW = ThO + ThV; + rio[WS(ios, 33)] = ThN - ThW; + iio[-WS(ios, 1)] = ThN + ThW; + } + { + E TcH, TcK, ThX, ThY; + TcH = Tcv - Tcy; + TcK = TcI - TcJ; + iio[-WS(ios, 49)] = TcH - TcK; + rio[WS(ios, 17)] = TcH + TcK; + ThX = TcF - TcC; + ThY = ThV - ThO; + rio[WS(ios, 49)] = ThX - ThY; + iio[-WS(ios, 17)] = ThX + ThY; + } + } + { + E T9R, Taj, Tip, Tiv, T9Y, Tiu, Tam, Tik, Ta6, Taw, Tag, Taq, Tad, Tax, Tah; + E Tat; + { + E T9N, T9Q, Til, Tio; + T9N = T6b + T6m; + T9Q = T9O + T9P; + T9R = T9N - T9Q; + Taj = T9N + T9Q; + Til = T6y + T6J; + Tio = Tim + Tin; + Tip = Til + Tio; + Tiv = Tio - Til; + } + { + E T9U, Tak, T9X, Tal; + { + E T9S, T9T, T9V, T9W; + T9S = T6Q + T71; + T9T = T77 + T7a; + T9U = FNMS(KP555570233, T9T, KP831469612 * T9S); + Tak = FMA(KP555570233, T9S, KP831469612 * T9T); + T9V = T7h + T7s; + T9W = T7y + T7B; + T9X = FMA(KP831469612, T9V, KP555570233 * T9W); + Tal = FNMS(KP555570233, T9V, KP831469612 * T9W); + } + T9Y = T9U - T9X; + Tiu = Tal - Tak; + Tam = Tak + Tal; + Tik = T9U + T9X; + } + { + E Ta2, Tao, Ta5, Tap; + { + E Ta0, Ta1, Ta3, Ta4; + Ta0 = T8p + T8s; + Ta1 = T8i + T87; + Ta2 = Ta0 - Ta1; + Tao = Ta0 + Ta1; + Ta3 = T7K + T7V; + Ta4 = T8u + T8v; + Ta5 = Ta3 - Ta4; + Tap = Ta3 + Ta4; + } + Ta6 = FMA(KP471396736, Ta2, KP881921264 * Ta5); + Taw = FNMS(KP290284677, Tao, KP956940335 * Tap); + Tag = FNMS(KP881921264, Ta2, KP471396736 * Ta5); + Taq = FMA(KP956940335, Tao, KP290284677 * Tap); + } + { + E Ta9, Tar, Tac, Tas; + { + E Ta7, Ta8, Taa, Tab; + Ta7 = T8D + T8O; + Ta8 = T9o + T9n; + Ta9 = Ta7 - Ta8; + Tar = Ta7 + Ta8; + Taa = T9i + T9l; + Tab = T90 + T9b; + Tac = Taa - Tab; + Tas = Taa + Tab; + } + Tad = FNMS(KP881921264, Tac, KP471396736 * Ta9); + Tax = FMA(KP290284677, Tar, KP956940335 * Tas); + Tah = FMA(KP881921264, Ta9, KP471396736 * Tac); + Tat = FNMS(KP290284677, Tas, KP956940335 * Tar); + } + { + E T9Z, Tae, Tit, Tiw; + T9Z = T9R + T9Y; + Tae = Ta6 + Tad; + iio[-WS(ios, 43)] = T9Z - Tae; + rio[WS(ios, 11)] = T9Z + Tae; + Tit = Tag + Tah; + Tiw = Tiu + Tiv; + rio[WS(ios, 43)] = Tit - Tiw; + iio[-WS(ios, 11)] = Tit + Tiw; + } + { + E Taf, Tai, Tix, Tiy; + Taf = T9R - T9Y; + Tai = Tag - Tah; + iio[-WS(ios, 59)] = Taf - Tai; + rio[WS(ios, 27)] = Taf + Tai; + Tix = Tad - Ta6; + Tiy = Tiv - Tiu; + rio[WS(ios, 59)] = Tix - Tiy; + iio[-WS(ios, 27)] = Tix + Tiy; + } + { + E Tan, Tau, Tij, Tiq; + Tan = Taj + Tam; + Tau = Taq + Tat; + iio[-WS(ios, 35)] = Tan - Tau; + rio[WS(ios, 3)] = Tan + Tau; + Tij = Taw + Tax; + Tiq = Tik + Tip; + rio[WS(ios, 35)] = Tij - Tiq; + iio[-WS(ios, 3)] = Tij + Tiq; + } + { + E Tav, Tay, Tir, Tis; + Tav = Taj - Tam; + Tay = Taw - Tax; + iio[-WS(ios, 51)] = Tav - Tay; + rio[WS(ios, 19)] = Tav + Tay; + Tir = Tat - Taq; + Tis = Tip - Tik; + rio[WS(ios, 51)] = Tir - Tis; + iio[-WS(ios, 19)] = Tir + Tis; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 64}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 64, "hf_64", twinstr, {808, 270, 230, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_64) (planner *p) { + X(khc2hc_dit_register) (p, hf_64, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_7.c b/src/fftw3/rdft/codelets/r2hc/hf_7.c new file mode 100644 index 0000000..df7b4ac --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_7.c @@ -0,0 +1,178 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:56 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 7 -dit -name hf_7 -include hf.h */ + +/* + * This function contains 72 FP additions, 60 FP multiplications, + * (or, 36 additions, 24 multiplications, 36 fused multiply/add), + * 29 stack variables, and 28 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_7(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP222520933, +0.222520933956314404288902564496794759466355569); + DK(KP900968867, +0.900968867902419126236102319507445051165919162); + DK(KP623489801, +0.623489801858733530525004884004239810632274731); + DK(KP433883739, +0.433883739117558120475768332848358754609990728); + DK(KP781831482, +0.781831482468029808708444526674057750232334519); + DK(KP974927912, +0.974927912181823607018131682993931217232785801); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 12) { + E T1, Tc, TS, TC, TO, TR, Tn, TT, TI, TP, Ty, TU, TF, TQ; + T1 = rio[0]; + { + E T6, TA, Tb, TB; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 1)]; + T5 = iio[-WS(ios, 5)]; + T2 = W[0]; + T4 = W[1]; + T6 = FMA(T2, T3, T4 * T5); + TA = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = rio[WS(ios, 6)]; + Ta = iio[0]; + T7 = W[10]; + T9 = W[11]; + Tb = FMA(T7, T8, T9 * Ta); + TB = FNMS(T9, T8, T7 * Ta); + } + Tc = T6 + Tb; + TS = Tb - T6; + TC = TA - TB; + TO = TA + TB; + } + TR = iio[-WS(ios, 6)]; + { + E Th, TG, Tm, TH; + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 2)]; + Tg = iio[-WS(ios, 4)]; + Td = W[2]; + Tf = W[3]; + Th = FMA(Td, Te, Tf * Tg); + TG = FNMS(Tf, Te, Td * Tg); + } + { + E Tj, Tl, Ti, Tk; + Tj = rio[WS(ios, 5)]; + Tl = iio[-WS(ios, 1)]; + Ti = W[8]; + Tk = W[9]; + Tm = FMA(Ti, Tj, Tk * Tl); + TH = FNMS(Tk, Tj, Ti * Tl); + } + Tn = Th + Tm; + TT = Tm - Th; + TI = TG - TH; + TP = TG + TH; + } + { + E Ts, TD, Tx, TE; + { + E Tp, Tr, To, Tq; + Tp = rio[WS(ios, 3)]; + Tr = iio[-WS(ios, 3)]; + To = W[4]; + Tq = W[5]; + Ts = FMA(To, Tp, Tq * Tr); + TD = FNMS(Tq, Tp, To * Tr); + } + { + E Tu, Tw, Tt, Tv; + Tu = rio[WS(ios, 4)]; + Tw = iio[-WS(ios, 2)]; + Tt = W[6]; + Tv = W[7]; + Tx = FMA(Tt, Tu, Tv * Tw); + TE = FNMS(Tv, Tu, Tt * Tw); + } + Ty = Ts + Tx; + TU = Tx - Ts; + TF = TD - TE; + TQ = TD + TE; + } + rio[0] = T1 + Tc + Tn + Ty; + iio[0] = TO + TP + TQ + TR; + { + E TJ, Tz, TX, TY; + TJ = FNMS(KP781831482, TF, KP974927912 * TC) - (KP433883739 * TI); + Tz = FMA(KP623489801, Ty, T1) + FNMA(KP900968867, Tn, KP222520933 * Tc); + iio[-WS(ios, 5)] = Tz - TJ; + rio[WS(ios, 2)] = Tz + TJ; + TX = FNMS(KP781831482, TU, KP974927912 * TS) - (KP433883739 * TT); + TY = FMA(KP623489801, TQ, TR) + FNMA(KP900968867, TP, KP222520933 * TO); + rio[WS(ios, 5)] = TX - TY; + iio[-WS(ios, 2)] = TX + TY; + } + { + E TL, TK, TV, TW; + TL = FMA(KP781831482, TC, KP974927912 * TI) + (KP433883739 * TF); + TK = FMA(KP623489801, Tc, T1) + FNMA(KP900968867, Ty, KP222520933 * Tn); + iio[-WS(ios, 6)] = TK - TL; + rio[WS(ios, 1)] = TK + TL; + TV = FMA(KP781831482, TS, KP974927912 * TT) + (KP433883739 * TU); + TW = FMA(KP623489801, TO, TR) + FNMA(KP900968867, TQ, KP222520933 * TP); + rio[WS(ios, 6)] = TV - TW; + iio[-WS(ios, 1)] = TV + TW; + } + { + E TN, TM, TZ, T10; + TN = FMA(KP433883739, TC, KP974927912 * TF) - (KP781831482 * TI); + TM = FMA(KP623489801, Tn, T1) + FNMA(KP222520933, Ty, KP900968867 * Tc); + iio[-WS(ios, 4)] = TM - TN; + rio[WS(ios, 3)] = TM + TN; + TZ = FMA(KP433883739, TS, KP974927912 * TU) - (KP781831482 * TT); + T10 = FMA(KP623489801, TP, TR) + FNMA(KP222520933, TQ, KP900968867 * TO); + rio[WS(ios, 4)] = TZ - T10; + iio[-WS(ios, 3)] = TZ + T10; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 7}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 7, "hf_7", twinstr, {36, 24, 36, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_7) (planner *p) { + X(khc2hc_dit_register) (p, hf_7, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_8.c b/src/fftw3/rdft/codelets/r2hc/hf_8.c new file mode 100644 index 0000000..21dedce --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_8.c @@ -0,0 +1,203 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:58 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 8 -dit -name hf_8 -include hf.h */ + +/* + * This function contains 66 FP additions, 32 FP multiplications, + * (or, 52 additions, 18 multiplications, 14 fused multiply/add), + * 28 stack variables, and 32 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_8(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 14) { + E T7, T1e, TH, T19, TF, T13, TR, TU, Ti, T1f, TK, T16, Tu, T12, TM; + E TP; + { + E T1, T18, T6, T17; + T1 = rio[0]; + T18 = iio[-WS(ios, 7)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 4)]; + T5 = iio[-WS(ios, 3)]; + T2 = W[6]; + T4 = W[7]; + T6 = FMA(T2, T3, T4 * T5); + T17 = FNMS(T4, T3, T2 * T5); + } + T7 = T1 + T6; + T1e = T18 - T17; + TH = T1 - T6; + T19 = T17 + T18; + } + { + E Tz, TS, TE, TT; + { + E Tw, Ty, Tv, Tx; + Tw = rio[WS(ios, 7)]; + Ty = iio[0]; + Tv = W[12]; + Tx = W[13]; + Tz = FMA(Tv, Tw, Tx * Ty); + TS = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = rio[WS(ios, 3)]; + TD = iio[-WS(ios, 4)]; + TA = W[4]; + TC = W[5]; + TE = FMA(TA, TB, TC * TD); + TT = FNMS(TC, TB, TA * TD); + } + TF = Tz + TE; + T13 = TS + TT; + TR = Tz - TE; + TU = TS - TT; + } + { + E Tc, TI, Th, TJ; + { + E T9, Tb, T8, Ta; + T9 = rio[WS(ios, 2)]; + Tb = iio[-WS(ios, 5)]; + T8 = W[2]; + Ta = W[3]; + Tc = FMA(T8, T9, Ta * Tb); + TI = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = rio[WS(ios, 6)]; + Tg = iio[-WS(ios, 1)]; + Td = W[10]; + Tf = W[11]; + Th = FMA(Td, Te, Tf * Tg); + TJ = FNMS(Tf, Te, Td * Tg); + } + Ti = Tc + Th; + T1f = Tc - Th; + TK = TI - TJ; + T16 = TI + TJ; + } + { + E To, TN, Tt, TO; + { + E Tl, Tn, Tk, Tm; + Tl = rio[WS(ios, 1)]; + Tn = iio[-WS(ios, 6)]; + Tk = W[0]; + Tm = W[1]; + To = FMA(Tk, Tl, Tm * Tn); + TN = FNMS(Tm, Tl, Tk * Tn); + } + { + E Tq, Ts, Tp, Tr; + Tq = rio[WS(ios, 5)]; + Ts = iio[-WS(ios, 2)]; + Tp = W[8]; + Tr = W[9]; + Tt = FMA(Tp, Tq, Tr * Ts); + TO = FNMS(Tr, Tq, Tp * Ts); + } + Tu = To + Tt; + T12 = TN + TO; + TM = To - Tt; + TP = TN - TO; + } + { + E Tj, TG, T1b, T1c; + Tj = T7 + Ti; + TG = Tu + TF; + iio[-WS(ios, 4)] = Tj - TG; + rio[0] = Tj + TG; + { + E T15, T1a, T11, T14; + T15 = T12 + T13; + T1a = T16 + T19; + rio[WS(ios, 4)] = T15 - T1a; + iio[0] = T15 + T1a; + T11 = T7 - Ti; + T14 = T12 - T13; + iio[-WS(ios, 6)] = T11 - T14; + rio[WS(ios, 2)] = T11 + T14; + } + T1b = TF - Tu; + T1c = T19 - T16; + rio[WS(ios, 6)] = T1b - T1c; + iio[-WS(ios, 2)] = T1b + T1c; + { + E TX, T1g, T10, T1d, TY, TZ; + TX = TH - TK; + T1g = T1e - T1f; + TY = TP - TM; + TZ = TR + TU; + T10 = KP707106781 * (TY - TZ); + T1d = KP707106781 * (TY + TZ); + iio[-WS(ios, 7)] = TX - T10; + iio[-WS(ios, 1)] = T1d + T1g; + rio[WS(ios, 3)] = TX + T10; + rio[WS(ios, 5)] = T1d - T1g; + } + { + E TL, T1i, TW, T1h, TQ, TV; + TL = TH + TK; + T1i = T1f + T1e; + TQ = TM + TP; + TV = TR - TU; + TW = KP707106781 * (TQ + TV); + T1h = KP707106781 * (TV - TQ); + iio[-WS(ios, 5)] = TL - TW; + iio[-WS(ios, 3)] = T1h + T1i; + rio[WS(ios, 1)] = TL + TW; + rio[WS(ios, 7)] = T1h - T1i; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 8}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 8, "hf_8", twinstr, {52, 18, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_8) (planner *p) { + X(khc2hc_dit_register) (p, hf_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/hf_9.c b/src/fftw3/rdft/codelets/r2hc/hf_9.c new file mode 100644 index 0000000..167bd52 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/hf_9.c @@ -0,0 +1,256 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:57:01 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_hc2hc -compact -variables 4 -n 9 -dit -name hf_9 -include hf.h */ + +/* + * This function contains 96 FP additions, 72 FP multiplications, + * (or, 60 additions, 36 multiplications, 36 fused multiply/add), + * 41 stack variables, and 36 memory accesses + */ +/* + * Generator Id's : + * $Id: hf_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: hf_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "hf.h" + +static const R *hf_9(R *rio, R *iio, const R *W, stride ios, int m, int dist) +{ + DK(KP939692620, +0.939692620785908384054109277324731469936208134); + DK(KP342020143, +0.342020143325668733044099614682259580763083368); + DK(KP984807753, +0.984807753012208059366743024589523013670643252); + DK(KP173648177, +0.173648177666930348851716626769314796000375677); + DK(KP642787609, +0.642787609686539326322643409907263432907559884); + DK(KP766044443, +0.766044443118978035202392650555416673935832457); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m - 2; i > 0; i = i - 2, rio = rio + dist, iio = iio - dist, W = W + 16) { + E T1, T1B, TQ, T1G, Tc, TN, T1A, T1H, TL, T1x, T17, T1o, T1c, T1n, Tu; + E T1w, TW, T1k, T11, T1l; + { + E T6, TO, Tb, TP; + T1 = rio[0]; + T1B = iio[-WS(ios, 8)]; + { + E T3, T5, T2, T4; + T3 = rio[WS(ios, 3)]; + T5 = iio[-WS(ios, 5)]; + T2 = W[4]; + T4 = W[5]; + T6 = FMA(T2, T3, T4 * T5); + TO = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = rio[WS(ios, 6)]; + Ta = iio[-WS(ios, 2)]; + T7 = W[10]; + T9 = W[11]; + Tb = FMA(T7, T8, T9 * Ta); + TP = FNMS(T9, T8, T7 * Ta); + } + TQ = KP866025403 * (TO - TP); + T1G = KP866025403 * (Tb - T6); + Tc = T6 + Tb; + TN = FNMS(KP500000000, Tc, T1); + T1A = TO + TP; + T1H = FNMS(KP500000000, T1A, T1B); + } + { + E Tz, T19, TE, T14, TJ, T15, TK, T1a; + { + E Tw, Ty, Tv, Tx; + Tw = rio[WS(ios, 2)]; + Ty = iio[-WS(ios, 6)]; + Tv = W[2]; + Tx = W[3]; + Tz = FMA(Tv, Tw, Tx * Ty); + T19 = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = rio[WS(ios, 5)]; + TD = iio[-WS(ios, 3)]; + TA = W[8]; + TC = W[9]; + TE = FMA(TA, TB, TC * TD); + T14 = FNMS(TC, TB, TA * TD); + } + { + E TG, TI, TF, TH; + TG = rio[WS(ios, 8)]; + TI = iio[0]; + TF = W[14]; + TH = W[15]; + TJ = FMA(TF, TG, TH * TI); + T15 = FNMS(TH, TG, TF * TI); + } + TK = TE + TJ; + T1a = T14 + T15; + TL = Tz + TK; + T1x = T19 + T1a; + { + E T13, T16, T18, T1b; + T13 = FNMS(KP500000000, TK, Tz); + T16 = KP866025403 * (T14 - T15); + T17 = T13 + T16; + T1o = T13 - T16; + T18 = KP866025403 * (TJ - TE); + T1b = FNMS(KP500000000, T1a, T19); + T1c = T18 + T1b; + T1n = T1b - T18; + } + } + { + E Ti, TY, Tn, TT, Ts, TU, Tt, TZ; + { + E Tf, Th, Te, Tg; + Tf = rio[WS(ios, 1)]; + Th = iio[-WS(ios, 7)]; + Te = W[0]; + Tg = W[1]; + Ti = FMA(Te, Tf, Tg * Th); + TY = FNMS(Tg, Tf, Te * Th); + } + { + E Tk, Tm, Tj, Tl; + Tk = rio[WS(ios, 4)]; + Tm = iio[-WS(ios, 4)]; + Tj = W[6]; + Tl = W[7]; + Tn = FMA(Tj, Tk, Tl * Tm); + TT = FNMS(Tl, Tk, Tj * Tm); + } + { + E Tp, Tr, To, Tq; + Tp = rio[WS(ios, 7)]; + Tr = iio[-WS(ios, 1)]; + To = W[12]; + Tq = W[13]; + Ts = FMA(To, Tp, Tq * Tr); + TU = FNMS(Tq, Tp, To * Tr); + } + Tt = Tn + Ts; + TZ = TT + TU; + Tu = Ti + Tt; + T1w = TY + TZ; + { + E TS, TV, TX, T10; + TS = FNMS(KP500000000, Tt, Ti); + TV = KP866025403 * (TT - TU); + TW = TS + TV; + T1k = TS - TV; + TX = KP866025403 * (Ts - Tn); + T10 = FNMS(KP500000000, TZ, TY); + T11 = TX + T10; + T1l = T10 - TX; + } + } + { + E T1y, Td, TM, T1v; + T1y = KP866025403 * (T1w - T1x); + Td = T1 + Tc; + TM = Tu + TL; + T1v = FNMS(KP500000000, TM, Td); + rio[0] = Td + TM; + rio[WS(ios, 3)] = T1v + T1y; + iio[-WS(ios, 6)] = T1v - T1y; + } + { + E T1D, T1z, T1C, T1E; + T1D = KP866025403 * (TL - Tu); + T1z = T1w + T1x; + T1C = T1A + T1B; + T1E = FNMS(KP500000000, T1z, T1C); + iio[0] = T1z + T1C; + iio[-WS(ios, 3)] = T1D + T1E; + rio[WS(ios, 6)] = T1D - T1E; + } + { + E TR, T1I, T1e, T1J, T1i, T1F, T1f, T1K; + TR = TN + TQ; + T1I = T1G + T1H; + { + E T12, T1d, T1g, T1h; + T12 = FMA(KP766044443, TW, KP642787609 * T11); + T1d = FMA(KP173648177, T17, KP984807753 * T1c); + T1e = T12 + T1d; + T1J = KP866025403 * (T1d - T12); + T1g = FNMS(KP642787609, TW, KP766044443 * T11); + T1h = FNMS(KP984807753, T17, KP173648177 * T1c); + T1i = KP866025403 * (T1g - T1h); + T1F = T1g + T1h; + } + rio[WS(ios, 1)] = TR + T1e; + iio[-WS(ios, 1)] = T1F + T1I; + T1f = FNMS(KP500000000, T1e, TR); + iio[-WS(ios, 7)] = T1f - T1i; + rio[WS(ios, 4)] = T1f + T1i; + T1K = FNMS(KP500000000, T1F, T1I); + rio[WS(ios, 7)] = T1J - T1K; + iio[-WS(ios, 4)] = T1J + T1K; + } + { + E T1j, T1M, T1q, T1O, T1u, T1L, T1r, T1N; + T1j = TN - TQ; + T1M = T1H - T1G; + { + E T1m, T1p, T1s, T1t; + T1m = FMA(KP173648177, T1k, KP984807753 * T1l); + T1p = FNMS(KP939692620, T1o, KP342020143 * T1n); + T1q = T1m + T1p; + T1O = KP866025403 * (T1p - T1m); + T1s = FNMS(KP984807753, T1k, KP173648177 * T1l); + T1t = FMA(KP342020143, T1o, KP939692620 * T1n); + T1u = KP866025403 * (T1s + T1t); + T1L = T1s - T1t; + } + rio[WS(ios, 2)] = T1j + T1q; + iio[-WS(ios, 2)] = T1L + T1M; + T1r = FNMS(KP500000000, T1q, T1j); + iio[-WS(ios, 8)] = T1r - T1u; + iio[-WS(ios, 5)] = T1r + T1u; + T1N = FMS(KP500000000, T1L, T1M); + rio[WS(ios, 5)] = T1N - T1O; + rio[WS(ios, 8)] = T1O + T1N; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 9}, + {TW_NEXT, 1, 0} +}; + +static const hc2hc_desc desc = { 9, "hf_9", twinstr, {60, 36, 36, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_hf_9) (planner *p) { + X(khc2hc_dit_register) (p, hf_9, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/mr2hcII_32.c b/src/fftw3/rdft/codelets/r2hc/mr2hcII_32.c new file mode 100644 index 0000000..38c2613 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/mr2hcII_32.c @@ -0,0 +1,368 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:43 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc_noinline -compact -variables 4 -n 32 -name mr2hcII_32 -dft-II -include r2hcII.h */ + +/* + * This function contains 174 FP additions, 82 FP multiplications, + * (or, 138 additions, 46 multiplications, 36 fused multiply/add), + * 61 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: mr2hcII_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hcII_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hcII_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void mr2hcII_32_0(const R *I, R *ro, R *io, stride is, stride ros, stride ios) +{ + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T5, T2D, T1z, T2q, Tc, T2C, T1C, T2n, Tm, T1k, T1J, T26, Tv, T1l, T1G; + E T27, T15, T1r, T1Y, T2e, T1c, T1s, T1V, T2d, TK, T1o, T1R, T2b, TR, T1p; + E T1O, T2a; + { + E T1, T2p, T4, T2o, T2, T3; + T1 = I[0]; + T2p = I[WS(is, 16)]; + T2 = I[WS(is, 8)]; + T3 = I[WS(is, 24)]; + T4 = KP707106781 * (T2 - T3); + T2o = KP707106781 * (T2 + T3); + T5 = T1 + T4; + T2D = T2p - T2o; + T1z = T1 - T4; + T2q = T2o + T2p; + } + { + E T8, T1A, Tb, T1B; + { + E T6, T7, T9, Ta; + T6 = I[WS(is, 4)]; + T7 = I[WS(is, 20)]; + T8 = FNMS(KP382683432, T7, KP923879532 * T6); + T1A = FMA(KP382683432, T6, KP923879532 * T7); + T9 = I[WS(is, 12)]; + Ta = I[WS(is, 28)]; + Tb = FNMS(KP923879532, Ta, KP382683432 * T9); + T1B = FMA(KP923879532, T9, KP382683432 * Ta); + } + Tc = T8 + Tb; + T2C = Tb - T8; + T1C = T1A - T1B; + T2n = T1A + T1B; + } + { + E Te, Tk, Th, Tj, Tf, Tg; + Te = I[WS(is, 2)]; + Tk = I[WS(is, 18)]; + Tf = I[WS(is, 10)]; + Tg = I[WS(is, 26)]; + Th = KP707106781 * (Tf - Tg); + Tj = KP707106781 * (Tf + Tg); + { + E Ti, Tl, T1H, T1I; + Ti = Te + Th; + Tl = Tj + Tk; + Tm = FNMS(KP195090322, Tl, KP980785280 * Ti); + T1k = FMA(KP195090322, Ti, KP980785280 * Tl); + T1H = Tk - Tj; + T1I = Te - Th; + T1J = FNMS(KP555570233, T1I, KP831469612 * T1H); + T26 = FMA(KP831469612, T1I, KP555570233 * T1H); + } + } + { + E Tq, Tt, Tp, Ts, Tn, To; + Tq = I[WS(is, 30)]; + Tt = I[WS(is, 14)]; + Tn = I[WS(is, 6)]; + To = I[WS(is, 22)]; + Tp = KP707106781 * (Tn - To); + Ts = KP707106781 * (Tn + To); + { + E Tr, Tu, T1E, T1F; + Tr = Tp - Tq; + Tu = Ts + Tt; + Tv = FMA(KP980785280, Tr, KP195090322 * Tu); + T1l = FNMS(KP980785280, Tu, KP195090322 * Tr); + T1E = Tt - Ts; + T1F = Tp + Tq; + T1G = FNMS(KP555570233, T1F, KP831469612 * T1E); + T27 = FMA(KP831469612, T1F, KP555570233 * T1E); + } + } + { + E TW, T1a, TV, T19, T10, T16, T13, T17, TT, TU; + TW = I[WS(is, 31)]; + T1a = I[WS(is, 15)]; + TT = I[WS(is, 7)]; + TU = I[WS(is, 23)]; + TV = KP707106781 * (TT - TU); + T19 = KP707106781 * (TT + TU); + { + E TY, TZ, T11, T12; + TY = I[WS(is, 3)]; + TZ = I[WS(is, 19)]; + T10 = FNMS(KP382683432, TZ, KP923879532 * TY); + T16 = FMA(KP382683432, TY, KP923879532 * TZ); + T11 = I[WS(is, 11)]; + T12 = I[WS(is, 27)]; + T13 = FNMS(KP923879532, T12, KP382683432 * T11); + T17 = FMA(KP923879532, T11, KP382683432 * T12); + } + { + E TX, T14, T1W, T1X; + TX = TV - TW; + T14 = T10 + T13; + T15 = TX + T14; + T1r = TX - T14; + T1W = T13 - T10; + T1X = T1a - T19; + T1Y = T1W - T1X; + T2e = T1W + T1X; + } + { + E T18, T1b, T1T, T1U; + T18 = T16 + T17; + T1b = T19 + T1a; + T1c = T18 + T1b; + T1s = T1b - T18; + T1T = TV + TW; + T1U = T16 - T17; + T1V = T1T + T1U; + T2d = T1U - T1T; + } + } + { + E Ty, TP, TB, TO, TF, TL, TI, TM, Tz, TA; + Ty = I[WS(is, 1)]; + TP = I[WS(is, 17)]; + Tz = I[WS(is, 9)]; + TA = I[WS(is, 25)]; + TB = KP707106781 * (Tz - TA); + TO = KP707106781 * (Tz + TA); + { + E TD, TE, TG, TH; + TD = I[WS(is, 5)]; + TE = I[WS(is, 21)]; + TF = FNMS(KP382683432, TE, KP923879532 * TD); + TL = FMA(KP382683432, TD, KP923879532 * TE); + TG = I[WS(is, 13)]; + TH = I[WS(is, 29)]; + TI = FNMS(KP923879532, TH, KP382683432 * TG); + TM = FMA(KP923879532, TG, KP382683432 * TH); + } + { + E TC, TJ, T1P, T1Q; + TC = Ty + TB; + TJ = TF + TI; + TK = TC + TJ; + T1o = TC - TJ; + T1P = TI - TF; + T1Q = TP - TO; + T1R = T1P - T1Q; + T2b = T1P + T1Q; + } + { + E TN, TQ, T1M, T1N; + TN = TL + TM; + TQ = TO + TP; + TR = TN + TQ; + T1p = TQ - TN; + T1M = Ty - TB; + T1N = TL - TM; + T1O = T1M - T1N; + T2a = T1M + T1N; + } + } + { + E Tx, T1f, T2s, T2u, T1e, T2l, T1i, T2t; + { + E Td, Tw, T2m, T2r; + Td = T5 + Tc; + Tw = Tm + Tv; + Tx = Td - Tw; + T1f = Td + Tw; + T2m = T1l - T1k; + T2r = T2n + T2q; + T2s = T2m - T2r; + T2u = T2m + T2r; + } + { + E TS, T1d, T1g, T1h; + TS = FMA(KP098017140, TK, KP995184726 * TR); + T1d = FNMS(KP995184726, T1c, KP098017140 * T15); + T1e = TS + T1d; + T2l = T1d - TS; + T1g = FNMS(KP098017140, TR, KP995184726 * TK); + T1h = FMA(KP995184726, T15, KP098017140 * T1c); + T1i = T1g + T1h; + T2t = T1h - T1g; + } + ro[WS(ros, 8)] = Tx - T1e; + io[WS(ios, 8)] = T2t - T2u; + ro[WS(ros, 7)] = Tx + T1e; + io[WS(ios, 7)] = T2t + T2u; + ro[WS(ros, 15)] = T1f - T1i; + io[WS(ios, 15)] = T2l - T2s; + ro[0] = T1f + T1i; + io[0] = T2l + T2s; + } + { + E T29, T2h, T2M, T2O, T2g, T2J, T2k, T2N; + { + E T25, T28, T2K, T2L; + T25 = T1z + T1C; + T28 = T26 - T27; + T29 = T25 + T28; + T2h = T25 - T28; + T2K = T1J + T1G; + T2L = T2C + T2D; + T2M = T2K - T2L; + T2O = T2K + T2L; + } + { + E T2c, T2f, T2i, T2j; + T2c = FMA(KP956940335, T2a, KP290284677 * T2b); + T2f = FNMS(KP290284677, T2e, KP956940335 * T2d); + T2g = T2c + T2f; + T2J = T2f - T2c; + T2i = FMA(KP290284677, T2d, KP956940335 * T2e); + T2j = FNMS(KP290284677, T2a, KP956940335 * T2b); + T2k = T2i - T2j; + T2N = T2j + T2i; + } + ro[WS(ros, 14)] = T29 - T2g; + io[WS(ios, 14)] = T2N - T2O; + ro[WS(ros, 1)] = T29 + T2g; + io[WS(ios, 1)] = T2N + T2O; + ro[WS(ros, 9)] = T2h - T2k; + io[WS(ios, 9)] = T2J - T2M; + ro[WS(ros, 6)] = T2h + T2k; + io[WS(ios, 6)] = T2J + T2M; + } + { + E T1n, T1v, T2y, T2A, T1u, T2v, T1y, T2z; + { + E T1j, T1m, T2w, T2x; + T1j = T5 - Tc; + T1m = T1k + T1l; + T1n = T1j + T1m; + T1v = T1j - T1m; + T2w = Tv - Tm; + T2x = T2q - T2n; + T2y = T2w - T2x; + T2A = T2w + T2x; + } + { + E T1q, T1t, T1w, T1x; + T1q = FMA(KP773010453, T1o, KP634393284 * T1p); + T1t = FNMS(KP634393284, T1s, KP773010453 * T1r); + T1u = T1q + T1t; + T2v = T1t - T1q; + T1w = FMA(KP634393284, T1r, KP773010453 * T1s); + T1x = FNMS(KP634393284, T1o, KP773010453 * T1p); + T1y = T1w - T1x; + T2z = T1x + T1w; + } + ro[WS(ros, 12)] = T1n - T1u; + io[WS(ios, 12)] = T2z - T2A; + ro[WS(ros, 3)] = T1n + T1u; + io[WS(ios, 3)] = T2z + T2A; + ro[WS(ros, 11)] = T1v - T1y; + io[WS(ios, 11)] = T2v - T2y; + ro[WS(ros, 4)] = T1v + T1y; + io[WS(ios, 4)] = T2v + T2y; + } + { + E T1L, T21, T2G, T2I, T20, T2H, T24, T2B; + { + E T1D, T1K, T2E, T2F; + T1D = T1z - T1C; + T1K = T1G - T1J; + T1L = T1D + T1K; + T21 = T1D - T1K; + T2E = T2C - T2D; + T2F = T26 + T27; + T2G = T2E - T2F; + T2I = T2F + T2E; + } + { + E T1S, T1Z, T22, T23; + T1S = FMA(KP881921264, T1O, KP471396736 * T1R); + T1Z = FMA(KP881921264, T1V, KP471396736 * T1Y); + T20 = T1S - T1Z; + T2H = T1S + T1Z; + T22 = FNMS(KP471396736, T1V, KP881921264 * T1Y); + T23 = FNMS(KP471396736, T1O, KP881921264 * T1R); + T24 = T22 - T23; + T2B = T23 + T22; + } + ro[WS(ros, 13)] = T1L - T20; + io[WS(ios, 13)] = T2B - T2G; + ro[WS(ros, 2)] = T1L + T20; + io[WS(ios, 2)] = T2B + T2G; + ro[WS(ros, 10)] = T21 - T24; + io[WS(ios, 10)] = T2I - T2H; + ro[WS(ros, 5)] = T21 + T24; + io[WS(ios, 5)] = -(T2H + T2I); + } + } +} + +static void mr2hcII_32(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mr2hcII_32_0(I, ro, io, is, ros, ios); + I += ivs; + ro += ovs; + io += ovs; + } +} + +static const kr2hc_desc desc = { 32, "mr2hcII_32", {138, 46, 36, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mr2hcII_32) (planner *p) { + X(kr2hcII_register) (p, mr2hcII_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/mr2hcII_64.c b/src/fftw3/rdft/codelets/r2hc/mr2hcII_64.c new file mode 100644 index 0000000..4752322 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/mr2hcII_64.c @@ -0,0 +1,799 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:59:51 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc_noinline -compact -variables 4 -n 64 -name mr2hcII_64 -dft-II -include r2hcII.h */ + +/* + * This function contains 434 FP additions, 206 FP multiplications, + * (or, 342 additions, 114 multiplications, 92 fused multiply/add), + * 117 stack variables, and 128 memory accesses + */ +/* + * Generator Id's : + * $Id: mr2hcII_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hcII_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hcII_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void mr2hcII_64_0(const R *I, R *ro, R *io, stride is, stride ros, stride ios) +{ + DK(KP242980179, +0.242980179903263889948274162077471118320990783); + DK(KP970031253, +0.970031253194543992603984207286100251456865962); + DK(KP857728610, +0.857728610000272069902269984284770137042490799); + DK(KP514102744, +0.514102744193221726593693838968815772608049120); + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP427555093, +0.427555093430282094320966856888798534304578629); + DK(KP903989293, +0.903989293123443331586200297230537048710132025); + DK(KP336889853, +0.336889853392220050689253212619147570477766780); + DK(KP941544065, +0.941544065183020778412509402599502357185589796); + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP595699304, +0.595699304492433343467036528829969889511926338); + DK(KP803207531, +0.803207531480644909806676512963141923879569427); + DK(KP146730474, +0.146730474455361751658850129646717819706215317); + DK(KP989176509, +0.989176509964780973451673738016243063983689533); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP049067674, +0.049067674327418014254954976942682658314745363); + DK(KP998795456, +0.998795456205172392714771604759100694443203615); + DK(KP671558954, +0.671558954847018400625376850427421803228750632); + DK(KP740951125, +0.740951125354959091175616897495162729728955309); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E Tm, T34, T3Z, T5g, Tv, T35, T3W, T5h, Td, T33, T6B, T6Q, T3T, T5f, T68; + E T6m, T2b, T3n, T4O, T5D, T2F, T3r, T4K, T5z, TK, T3c, T47, T5n, TR, T3b; + E T44, T5o, T15, T38, T4e, T5l, T1c, T39, T4b, T5k, T1s, T3g, T4v, T5w, T1W; + E T3k, T4k, T5s, T2u, T3q, T4R, T5A, T2y, T3o, T4H, T5C, T1L, T3j, T4y, T5t; + E T1P, T3h, T4r, T5v; + { + E Te, Tk, Th, Tj, Tf, Tg; + Te = I[WS(is, 4)]; + Tk = I[WS(is, 36)]; + Tf = I[WS(is, 20)]; + Tg = I[WS(is, 52)]; + Th = KP707106781 * (Tf - Tg); + Tj = KP707106781 * (Tf + Tg); + { + E Ti, Tl, T3X, T3Y; + Ti = Te + Th; + Tl = Tj + Tk; + Tm = FNMS(KP195090322, Tl, KP980785280 * Ti); + T34 = FMA(KP195090322, Ti, KP980785280 * Tl); + T3X = Tk - Tj; + T3Y = Te - Th; + T3Z = FNMS(KP555570233, T3Y, KP831469612 * T3X); + T5g = FMA(KP831469612, T3Y, KP555570233 * T3X); + } + } + { + E Tq, Tt, Tp, Ts, Tn, To; + Tq = I[WS(is, 60)]; + Tt = I[WS(is, 28)]; + Tn = I[WS(is, 12)]; + To = I[WS(is, 44)]; + Tp = KP707106781 * (Tn - To); + Ts = KP707106781 * (Tn + To); + { + E Tr, Tu, T3U, T3V; + Tr = Tp - Tq; + Tu = Ts + Tt; + Tv = FMA(KP980785280, Tr, KP195090322 * Tu); + T35 = FNMS(KP980785280, Tu, KP195090322 * Tr); + T3U = Tt - Ts; + T3V = Tp + Tq; + T3W = FNMS(KP555570233, T3V, KP831469612 * T3U); + T5h = FMA(KP831469612, T3V, KP555570233 * T3U); + } + } + { + E T1, T66, T4, T65, T8, T3Q, Tb, T3R, T2, T3; + T1 = I[0]; + T66 = I[WS(is, 32)]; + T2 = I[WS(is, 16)]; + T3 = I[WS(is, 48)]; + T4 = KP707106781 * (T2 - T3); + T65 = KP707106781 * (T2 + T3); + { + E T6, T7, T9, Ta; + T6 = I[WS(is, 8)]; + T7 = I[WS(is, 40)]; + T8 = FNMS(KP382683432, T7, KP923879532 * T6); + T3Q = FMA(KP382683432, T6, KP923879532 * T7); + T9 = I[WS(is, 24)]; + Ta = I[WS(is, 56)]; + Tb = FNMS(KP923879532, Ta, KP382683432 * T9); + T3R = FMA(KP923879532, T9, KP382683432 * Ta); + } + { + E T5, Tc, T6z, T6A; + T5 = T1 + T4; + Tc = T8 + Tb; + Td = T5 + Tc; + T33 = T5 - Tc; + T6z = Tb - T8; + T6A = T66 - T65; + T6B = T6z - T6A; + T6Q = T6z + T6A; + } + { + E T3P, T3S, T64, T67; + T3P = T1 - T4; + T3S = T3Q - T3R; + T3T = T3P - T3S; + T5f = T3P + T3S; + T64 = T3Q + T3R; + T67 = T65 + T66; + T68 = T64 + T67; + T6m = T67 - T64; + } + } + { + E T22, T2D, T21, T2C, T26, T2z, T29, T2A, T1Z, T20; + T22 = I[WS(is, 63)]; + T2D = I[WS(is, 31)]; + T1Z = I[WS(is, 15)]; + T20 = I[WS(is, 47)]; + T21 = KP707106781 * (T1Z - T20); + T2C = KP707106781 * (T1Z + T20); + { + E T24, T25, T27, T28; + T24 = I[WS(is, 7)]; + T25 = I[WS(is, 39)]; + T26 = FNMS(KP382683432, T25, KP923879532 * T24); + T2z = FMA(KP382683432, T24, KP923879532 * T25); + T27 = I[WS(is, 23)]; + T28 = I[WS(is, 55)]; + T29 = FNMS(KP923879532, T28, KP382683432 * T27); + T2A = FMA(KP923879532, T27, KP382683432 * T28); + } + { + E T23, T2a, T4M, T4N; + T23 = T21 - T22; + T2a = T26 + T29; + T2b = T23 + T2a; + T3n = T23 - T2a; + T4M = T29 - T26; + T4N = T2D - T2C; + T4O = T4M - T4N; + T5D = T4M + T4N; + } + { + E T2B, T2E, T4I, T4J; + T2B = T2z + T2A; + T2E = T2C + T2D; + T2F = T2B + T2E; + T3r = T2E - T2B; + T4I = T21 + T22; + T4J = T2z - T2A; + T4K = T4I + T4J; + T5z = T4J - T4I; + } + } + { + E Ty, TP, TB, TO, TF, TL, TI, TM, Tz, TA; + Ty = I[WS(is, 2)]; + TP = I[WS(is, 34)]; + Tz = I[WS(is, 18)]; + TA = I[WS(is, 50)]; + TB = KP707106781 * (Tz - TA); + TO = KP707106781 * (Tz + TA); + { + E TD, TE, TG, TH; + TD = I[WS(is, 10)]; + TE = I[WS(is, 42)]; + TF = FNMS(KP382683432, TE, KP923879532 * TD); + TL = FMA(KP382683432, TD, KP923879532 * TE); + TG = I[WS(is, 26)]; + TH = I[WS(is, 58)]; + TI = FNMS(KP923879532, TH, KP382683432 * TG); + TM = FMA(KP923879532, TG, KP382683432 * TH); + } + { + E TC, TJ, T45, T46; + TC = Ty + TB; + TJ = TF + TI; + TK = TC + TJ; + T3c = TC - TJ; + T45 = TI - TF; + T46 = TP - TO; + T47 = T45 - T46; + T5n = T45 + T46; + } + { + E TN, TQ, T42, T43; + TN = TL + TM; + TQ = TO + TP; + TR = TN + TQ; + T3b = TQ - TN; + T42 = Ty - TB; + T43 = TL - TM; + T44 = T42 - T43; + T5o = T42 + T43; + } + } + { + E TW, T1a, TV, T19, T10, T16, T13, T17, TT, TU; + TW = I[WS(is, 62)]; + T1a = I[WS(is, 30)]; + TT = I[WS(is, 14)]; + TU = I[WS(is, 46)]; + TV = KP707106781 * (TT - TU); + T19 = KP707106781 * (TT + TU); + { + E TY, TZ, T11, T12; + TY = I[WS(is, 6)]; + TZ = I[WS(is, 38)]; + T10 = FNMS(KP382683432, TZ, KP923879532 * TY); + T16 = FMA(KP382683432, TY, KP923879532 * TZ); + T11 = I[WS(is, 22)]; + T12 = I[WS(is, 54)]; + T13 = FNMS(KP923879532, T12, KP382683432 * T11); + T17 = FMA(KP923879532, T11, KP382683432 * T12); + } + { + E TX, T14, T4c, T4d; + TX = TV - TW; + T14 = T10 + T13; + T15 = TX + T14; + T38 = TX - T14; + T4c = T13 - T10; + T4d = T1a - T19; + T4e = T4c - T4d; + T5l = T4c + T4d; + } + { + E T18, T1b, T49, T4a; + T18 = T16 + T17; + T1b = T19 + T1a; + T1c = T18 + T1b; + T39 = T1b - T18; + T49 = TV + TW; + T4a = T16 - T17; + T4b = T49 + T4a; + T5k = T4a - T49; + } + } + { + E T1g, T1U, T1j, T1T, T1n, T1Q, T1q, T1R, T1h, T1i; + T1g = I[WS(is, 1)]; + T1U = I[WS(is, 33)]; + T1h = I[WS(is, 17)]; + T1i = I[WS(is, 49)]; + T1j = KP707106781 * (T1h - T1i); + T1T = KP707106781 * (T1h + T1i); + { + E T1l, T1m, T1o, T1p; + T1l = I[WS(is, 9)]; + T1m = I[WS(is, 41)]; + T1n = FNMS(KP382683432, T1m, KP923879532 * T1l); + T1Q = FMA(KP382683432, T1l, KP923879532 * T1m); + T1o = I[WS(is, 25)]; + T1p = I[WS(is, 57)]; + T1q = FNMS(KP923879532, T1p, KP382683432 * T1o); + T1R = FMA(KP923879532, T1o, KP382683432 * T1p); + } + { + E T1k, T1r, T4t, T4u; + T1k = T1g + T1j; + T1r = T1n + T1q; + T1s = T1k + T1r; + T3g = T1k - T1r; + T4t = T1q - T1n; + T4u = T1U - T1T; + T4v = T4t - T4u; + T5w = T4t + T4u; + } + { + E T1S, T1V, T4i, T4j; + T1S = T1Q + T1R; + T1V = T1T + T1U; + T1W = T1S + T1V; + T3k = T1V - T1S; + T4i = T1g - T1j; + T4j = T1Q - T1R; + T4k = T4i - T4j; + T5s = T4i + T4j; + } + } + { + E T2g, T4F, T2j, T4E, T2p, T4C, T2s, T4B; + { + E T2c, T2i, T2f, T2h, T2d, T2e; + T2c = I[WS(is, 3)]; + T2i = I[WS(is, 35)]; + T2d = I[WS(is, 19)]; + T2e = I[WS(is, 51)]; + T2f = KP707106781 * (T2d - T2e); + T2h = KP707106781 * (T2d + T2e); + T2g = T2c + T2f; + T4F = T2c - T2f; + T2j = T2h + T2i; + T4E = T2i - T2h; + } + { + E T2o, T2r, T2n, T2q, T2l, T2m; + T2o = I[WS(is, 59)]; + T2r = I[WS(is, 27)]; + T2l = I[WS(is, 11)]; + T2m = I[WS(is, 43)]; + T2n = KP707106781 * (T2l - T2m); + T2q = KP707106781 * (T2l + T2m); + T2p = T2n - T2o; + T4C = T2n + T2o; + T2s = T2q + T2r; + T4B = T2r - T2q; + } + { + E T2k, T2t, T4P, T4Q; + T2k = FNMS(KP195090322, T2j, KP980785280 * T2g); + T2t = FMA(KP980785280, T2p, KP195090322 * T2s); + T2u = T2k + T2t; + T3q = T2t - T2k; + T4P = FMA(KP831469612, T4F, KP555570233 * T4E); + T4Q = FMA(KP831469612, T4C, KP555570233 * T4B); + T4R = T4P + T4Q; + T5A = T4P - T4Q; + } + { + E T2w, T2x, T4D, T4G; + T2w = FNMS(KP980785280, T2s, KP195090322 * T2p); + T2x = FMA(KP195090322, T2g, KP980785280 * T2j); + T2y = T2w - T2x; + T3o = T2x + T2w; + T4D = FNMS(KP555570233, T4C, KP831469612 * T4B); + T4G = FNMS(KP555570233, T4F, KP831469612 * T4E); + T4H = T4D - T4G; + T5C = T4G + T4D; + } + } + { + E T1x, T4p, T1A, T4o, T1G, T4m, T1J, T4l; + { + E T1t, T1z, T1w, T1y, T1u, T1v; + T1t = I[WS(is, 5)]; + T1z = I[WS(is, 37)]; + T1u = I[WS(is, 21)]; + T1v = I[WS(is, 53)]; + T1w = KP707106781 * (T1u - T1v); + T1y = KP707106781 * (T1u + T1v); + T1x = T1t + T1w; + T4p = T1t - T1w; + T1A = T1y + T1z; + T4o = T1z - T1y; + } + { + E T1F, T1I, T1E, T1H, T1C, T1D; + T1F = I[WS(is, 61)]; + T1I = I[WS(is, 29)]; + T1C = I[WS(is, 13)]; + T1D = I[WS(is, 45)]; + T1E = KP707106781 * (T1C - T1D); + T1H = KP707106781 * (T1C + T1D); + T1G = T1E - T1F; + T4m = T1E + T1F; + T1J = T1H + T1I; + T4l = T1I - T1H; + } + { + E T1B, T1K, T4w, T4x; + T1B = FNMS(KP195090322, T1A, KP980785280 * T1x); + T1K = FMA(KP980785280, T1G, KP195090322 * T1J); + T1L = T1B + T1K; + T3j = T1K - T1B; + T4w = FMA(KP831469612, T4p, KP555570233 * T4o); + T4x = FMA(KP831469612, T4m, KP555570233 * T4l); + T4y = T4w + T4x; + T5t = T4w - T4x; + } + { + E T1N, T1O, T4n, T4q; + T1N = FNMS(KP980785280, T1J, KP195090322 * T1G); + T1O = FMA(KP195090322, T1x, KP980785280 * T1A); + T1P = T1N - T1O; + T3h = T1O + T1N; + T4n = FNMS(KP555570233, T4m, KP831469612 * T4l); + T4q = FNMS(KP555570233, T4p, KP831469612 * T4o); + T4r = T4n - T4q; + T5v = T4q + T4n; + } + } + { + E Tx, T2N, T69, T6f, T1e, T6e, T2X, T30, T1Y, T2L, T2Q, T62, T2U, T31, T2H; + E T2K, Tw, T63; + Tw = Tm + Tv; + Tx = Td + Tw; + T2N = Td - Tw; + T63 = T35 - T34; + T69 = T63 - T68; + T6f = T63 + T68; + { + E TS, T1d, T2V, T2W; + TS = FNMS(KP098017140, TR, KP995184726 * TK); + T1d = FMA(KP995184726, T15, KP098017140 * T1c); + T1e = TS + T1d; + T6e = T1d - TS; + T2V = T2b - T2u; + T2W = T2y + T2F; + T2X = FNMS(KP671558954, T2W, KP740951125 * T2V); + T30 = FMA(KP671558954, T2V, KP740951125 * T2W); + } + { + E T1M, T1X, T2O, T2P; + T1M = T1s + T1L; + T1X = T1P - T1W; + T1Y = FMA(KP998795456, T1M, KP049067674 * T1X); + T2L = FNMS(KP049067674, T1M, KP998795456 * T1X); + T2O = FMA(KP098017140, TK, KP995184726 * TR); + T2P = FNMS(KP995184726, T1c, KP098017140 * T15); + T2Q = T2O + T2P; + T62 = T2P - T2O; + } + { + E T2S, T2T, T2v, T2G; + T2S = T1s - T1L; + T2T = T1P + T1W; + T2U = FMA(KP740951125, T2S, KP671558954 * T2T); + T31 = FNMS(KP671558954, T2S, KP740951125 * T2T); + T2v = T2b + T2u; + T2G = T2y - T2F; + T2H = FNMS(KP049067674, T2G, KP998795456 * T2v); + T2K = FMA(KP049067674, T2v, KP998795456 * T2G); + } + { + E T1f, T2I, T6b, T6c; + T1f = Tx + T1e; + T2I = T1Y + T2H; + ro[WS(ros, 31)] = T1f - T2I; + ro[0] = T1f + T2I; + T6b = T2L + T2K; + T6c = T62 + T69; + io[WS(ios, 31)] = T6b - T6c; + io[0] = T6b + T6c; + } + { + E T2J, T2M, T61, T6a; + T2J = Tx - T1e; + T2M = T2K - T2L; + ro[WS(ros, 16)] = T2J - T2M; + ro[WS(ros, 15)] = T2J + T2M; + T61 = T2H - T1Y; + T6a = T62 - T69; + io[WS(ios, 16)] = T61 - T6a; + io[WS(ios, 15)] = T61 + T6a; + } + { + E T2R, T2Y, T6h, T6i; + T2R = T2N + T2Q; + T2Y = T2U + T2X; + ro[WS(ros, 24)] = T2R - T2Y; + ro[WS(ros, 7)] = T2R + T2Y; + T6h = T31 + T30; + T6i = T6e + T6f; + io[WS(ios, 24)] = T6h - T6i; + io[WS(ios, 7)] = T6h + T6i; + } + { + E T2Z, T32, T6d, T6g; + T2Z = T2N - T2Q; + T32 = T30 - T31; + ro[WS(ros, 23)] = T2Z - T32; + ro[WS(ros, 8)] = T2Z + T32; + T6d = T2X - T2U; + T6g = T6e - T6f; + io[WS(ios, 23)] = T6d - T6g; + io[WS(ios, 8)] = T6d + T6g; + } + } + { + E T5j, T5L, T6R, T6X, T5q, T6W, T5V, T5Y, T5y, T5J, T5O, T6O, T5S, T5Z, T5F; + E T5I, T5i, T6P; + T5i = T5g - T5h; + T5j = T5f - T5i; + T5L = T5f + T5i; + T6P = T3Z + T3W; + T6R = T6P - T6Q; + T6X = T6P + T6Q; + { + E T5m, T5p, T5T, T5U; + T5m = FMA(KP290284677, T5k, KP956940335 * T5l); + T5p = FNMS(KP290284677, T5o, KP956940335 * T5n); + T5q = T5m - T5p; + T6W = T5p + T5m; + T5T = T5z + T5A; + T5U = T5C + T5D; + T5V = FNMS(KP146730474, T5U, KP989176509 * T5T); + T5Y = FMA(KP146730474, T5T, KP989176509 * T5U); + } + { + E T5u, T5x, T5M, T5N; + T5u = T5s - T5t; + T5x = T5v - T5w; + T5y = FMA(KP803207531, T5u, KP595699304 * T5x); + T5J = FNMS(KP595699304, T5u, KP803207531 * T5x); + T5M = FMA(KP956940335, T5o, KP290284677 * T5n); + T5N = FNMS(KP290284677, T5l, KP956940335 * T5k); + T5O = T5M + T5N; + T6O = T5N - T5M; + } + { + E T5Q, T5R, T5B, T5E; + T5Q = T5s + T5t; + T5R = T5v + T5w; + T5S = FMA(KP989176509, T5Q, KP146730474 * T5R); + T5Z = FNMS(KP146730474, T5Q, KP989176509 * T5R); + T5B = T5z - T5A; + T5E = T5C - T5D; + T5F = FNMS(KP595699304, T5E, KP803207531 * T5B); + T5I = FMA(KP595699304, T5B, KP803207531 * T5E); + } + { + E T5r, T5G, T6T, T6U; + T5r = T5j + T5q; + T5G = T5y + T5F; + ro[WS(ros, 25)] = T5r - T5G; + ro[WS(ros, 6)] = T5r + T5G; + T6T = T5J + T5I; + T6U = T6O + T6R; + io[WS(ios, 25)] = T6T - T6U; + io[WS(ios, 6)] = T6T + T6U; + } + { + E T5H, T5K, T6N, T6S; + T5H = T5j - T5q; + T5K = T5I - T5J; + ro[WS(ros, 22)] = T5H - T5K; + ro[WS(ros, 9)] = T5H + T5K; + T6N = T5F - T5y; + T6S = T6O - T6R; + io[WS(ios, 22)] = T6N - T6S; + io[WS(ios, 9)] = T6N + T6S; + } + { + E T5P, T5W, T6Z, T70; + T5P = T5L + T5O; + T5W = T5S + T5V; + ro[WS(ros, 30)] = T5P - T5W; + ro[WS(ros, 1)] = T5P + T5W; + T6Z = T5Z + T5Y; + T70 = T6W + T6X; + io[WS(ios, 30)] = T6Z - T70; + io[WS(ios, 1)] = T6Z + T70; + } + { + E T5X, T60, T6V, T6Y; + T5X = T5L - T5O; + T60 = T5Y - T5Z; + ro[WS(ros, 17)] = T5X - T60; + ro[WS(ros, 14)] = T5X + T60; + T6V = T5V - T5S; + T6Y = T6W - T6X; + io[WS(ios, 17)] = T6V - T6Y; + io[WS(ios, 14)] = T6V + T6Y; + } + } + { + E T37, T3z, T6n, T6t, T3e, T6s, T3J, T3M, T3m, T3x, T3C, T6k, T3G, T3N, T3t; + E T3w, T36, T6l; + T36 = T34 + T35; + T37 = T33 - T36; + T3z = T33 + T36; + T6l = Tv - Tm; + T6n = T6l - T6m; + T6t = T6l + T6m; + { + E T3a, T3d, T3H, T3I; + T3a = FMA(KP634393284, T38, KP773010453 * T39); + T3d = FNMS(KP634393284, T3c, KP773010453 * T3b); + T3e = T3a - T3d; + T6s = T3d + T3a; + T3H = T3n + T3o; + T3I = T3q + T3r; + T3J = FNMS(KP336889853, T3I, KP941544065 * T3H); + T3M = FMA(KP336889853, T3H, KP941544065 * T3I); + } + { + E T3i, T3l, T3A, T3B; + T3i = T3g - T3h; + T3l = T3j - T3k; + T3m = FMA(KP903989293, T3i, KP427555093 * T3l); + T3x = FNMS(KP427555093, T3i, KP903989293 * T3l); + T3A = FMA(KP773010453, T3c, KP634393284 * T3b); + T3B = FNMS(KP634393284, T39, KP773010453 * T38); + T3C = T3A + T3B; + T6k = T3B - T3A; + } + { + E T3E, T3F, T3p, T3s; + T3E = T3g + T3h; + T3F = T3j + T3k; + T3G = FMA(KP941544065, T3E, KP336889853 * T3F); + T3N = FNMS(KP336889853, T3E, KP941544065 * T3F); + T3p = T3n - T3o; + T3s = T3q - T3r; + T3t = FNMS(KP427555093, T3s, KP903989293 * T3p); + T3w = FMA(KP427555093, T3p, KP903989293 * T3s); + } + { + E T3f, T3u, T6p, T6q; + T3f = T37 + T3e; + T3u = T3m + T3t; + ro[WS(ros, 27)] = T3f - T3u; + ro[WS(ros, 4)] = T3f + T3u; + T6p = T3x + T3w; + T6q = T6k + T6n; + io[WS(ios, 27)] = T6p - T6q; + io[WS(ios, 4)] = T6p + T6q; + } + { + E T3v, T3y, T6j, T6o; + T3v = T37 - T3e; + T3y = T3w - T3x; + ro[WS(ros, 20)] = T3v - T3y; + ro[WS(ros, 11)] = T3v + T3y; + T6j = T3t - T3m; + T6o = T6k - T6n; + io[WS(ios, 20)] = T6j - T6o; + io[WS(ios, 11)] = T6j + T6o; + } + { + E T3D, T3K, T6v, T6w; + T3D = T3z + T3C; + T3K = T3G + T3J; + ro[WS(ros, 28)] = T3D - T3K; + ro[WS(ros, 3)] = T3D + T3K; + T6v = T3N + T3M; + T6w = T6s + T6t; + io[WS(ios, 28)] = T6v - T6w; + io[WS(ios, 3)] = T6v + T6w; + } + { + E T3L, T3O, T6r, T6u; + T3L = T3z - T3C; + T3O = T3M - T3N; + ro[WS(ros, 19)] = T3L - T3O; + ro[WS(ros, 12)] = T3L + T3O; + T6r = T3J - T3G; + T6u = T6s - T6t; + io[WS(ios, 19)] = T6r - T6u; + io[WS(ios, 12)] = T6r + T6u; + } + } + { + E T41, T4Z, T6D, T6J, T4g, T6I, T59, T5d, T4A, T4X, T52, T6y, T56, T5c, T4T; + E T4W, T40, T6C; + T40 = T3W - T3Z; + T41 = T3T + T40; + T4Z = T3T - T40; + T6C = T5g + T5h; + T6D = T6B - T6C; + T6J = T6C + T6B; + { + E T48, T4f, T57, T58; + T48 = FMA(KP881921264, T44, KP471396736 * T47); + T4f = FMA(KP881921264, T4b, KP471396736 * T4e); + T4g = T48 - T4f; + T6I = T48 + T4f; + T57 = T4K + T4H; + T58 = T4R + T4O; + T59 = FMA(KP514102744, T57, KP857728610 * T58); + T5d = FNMS(KP857728610, T57, KP514102744 * T58); + } + { + E T4s, T4z, T50, T51; + T4s = T4k + T4r; + T4z = T4v - T4y; + T4A = FMA(KP970031253, T4s, KP242980179 * T4z); + T4X = FNMS(KP242980179, T4s, KP970031253 * T4z); + T50 = FNMS(KP471396736, T4b, KP881921264 * T4e); + T51 = FNMS(KP471396736, T44, KP881921264 * T47); + T52 = T50 - T51; + T6y = T51 + T50; + } + { + E T54, T55, T4L, T4S; + T54 = T4k - T4r; + T55 = T4y + T4v; + T56 = FMA(KP514102744, T54, KP857728610 * T55); + T5c = FNMS(KP514102744, T55, KP857728610 * T54); + T4L = T4H - T4K; + T4S = T4O - T4R; + T4T = FNMS(KP242980179, T4S, KP970031253 * T4L); + T4W = FMA(KP242980179, T4L, KP970031253 * T4S); + } + { + E T4h, T4U, T6F, T6G; + T4h = T41 + T4g; + T4U = T4A + T4T; + ro[WS(ros, 29)] = T4h - T4U; + ro[WS(ros, 2)] = T4h + T4U; + T6F = T4X + T4W; + T6G = T6y + T6D; + io[WS(ios, 29)] = T6F - T6G; + io[WS(ios, 2)] = T6F + T6G; + } + { + E T4V, T4Y, T6x, T6E; + T4V = T41 - T4g; + T4Y = T4W - T4X; + ro[WS(ros, 18)] = T4V - T4Y; + ro[WS(ros, 13)] = T4V + T4Y; + T6x = T4T - T4A; + T6E = T6y - T6D; + io[WS(ios, 18)] = T6x - T6E; + io[WS(ios, 13)] = T6x + T6E; + } + { + E T53, T5a, T6L, T6M; + T53 = T4Z - T52; + T5a = T56 - T59; + ro[WS(ros, 21)] = T53 - T5a; + ro[WS(ros, 10)] = T53 + T5a; + T6L = T5d - T5c; + T6M = T6J - T6I; + io[WS(ios, 21)] = T6L - T6M; + io[WS(ios, 10)] = T6L + T6M; + } + { + E T5b, T5e, T6H, T6K; + T5b = T4Z + T52; + T5e = T5c + T5d; + ro[WS(ros, 26)] = T5b - T5e; + ro[WS(ros, 5)] = T5b + T5e; + T6H = T56 + T59; + T6K = T6I + T6J; + io[WS(ios, 5)] = -(T6H + T6K); + io[WS(ios, 26)] = T6K - T6H; + } + } + } +} + +static void mr2hcII_64(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mr2hcII_64_0(I, ro, io, is, ros, ios); + I += ivs; + ro += ovs; + io += ovs; + } +} + +static const kr2hc_desc desc = { 64, "mr2hcII_64", {342, 114, 92, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mr2hcII_64) (planner *p) { + X(kr2hcII_register) (p, mr2hcII_64, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/mr2hc_128.c b/src/fftw3/rdft/codelets/r2hc/mr2hc_128.c new file mode 100644 index 0000000..0409559 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/mr2hc_128.c @@ -0,0 +1,1647 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:49 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc_noinline -compact -variables 4 -n 128 -name mr2hc_128 -include r2hc.h */ + +/* + * This function contains 956 FP additions, 330 FP multiplications, + * (or, 812 additions, 186 multiplications, 144 fused multiply/add), + * 185 stack variables, and 256 memory accesses + */ +/* + * Generator Id's : + * $Id: mr2hc_128.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hc_128.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hc_128.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void mr2hc_128_0(const R *I, R *ro, R *io, stride is, stride ros, stride ios) +{ + DK(KP803207531, +0.803207531480644909806676512963141923879569427); + DK(KP595699304, +0.595699304492433343467036528829969889511926338); + DK(KP146730474, +0.146730474455361751658850129646717819706215317); + DK(KP989176509, +0.989176509964780973451673738016243063983689533); + DK(KP740951125, +0.740951125354959091175616897495162729728955309); + DK(KP671558954, +0.671558954847018400625376850427421803228750632); + DK(KP049067674, +0.049067674327418014254954976942682658314745363); + DK(KP998795456, +0.998795456205172392714771604759100694443203615); + DK(KP242980179, +0.242980179903263889948274162077471118320990783); + DK(KP970031253, +0.970031253194543992603984207286100251456865962); + DK(KP514102744, +0.514102744193221726593693838968815772608049120); + DK(KP857728610, +0.857728610000272069902269984284770137042490799); + DK(KP336889853, +0.336889853392220050689253212619147570477766780); + DK(KP941544065, +0.941544065183020778412509402599502357185589796); + DK(KP427555093, +0.427555093430282094320966856888798534304578629); + DK(KP903989293, +0.903989293123443331586200297230537048710132025); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E TcD, TdU, T27, T7r, T5S, T8y, Tf, Ta5, Tu, Tbq, TcG, TdV, T2e, T8z, T5V; + E T7s, TK, Ta6, TcK, TdX, T2o, T5X, T7w, T8B, TZ, Ta7, TcN, TdY, T2x, T5Y; + E T7z, T8C, T1g, Taa, TcU, TeA, TcX, Tez, T1v, Tab, T2M, T6z, T7E, T9e, T7H; + E T9d, T2T, T6A, T4X, T6L, Tdz, TeL, TdK, TeP, T5G, T6P, T8d, T9p, TaV, Tc3; + E Tbi, Tc4, T8o, T9t, T3I, T6H, Tde, TeH, Tdp, TeF, T4r, T6F, T7U, T9l, Tao; + E TbW, TaL, TbX, T85, T9j, T1L, Tad, Td3, Tew, Td6, Tex, T20, Tae, T37, T6x; + E T7L, T9a, T7O, T9b, T3e, T6w, TbZ, Tc0, T3Z, T4s, Tds, TeI, T4g, T4t, T80; + E T87, Tdl, TeE, T7X, T86, TaD, TaM, Tc6, Tc7, T5e, T5H, TdN, TeM, T5v, T5I; + E T8j, T8q, TdG, TeO, T8g, T8p, Tba, Tbj; + { + E T3, T23, Td, T25, T6, T5R, Ta, T24; + { + E T1, T2, Tb, Tc; + T1 = I[0]; + T2 = I[WS(is, 64)]; + T3 = T1 + T2; + T23 = T1 - T2; + Tb = I[WS(is, 112)]; + Tc = I[WS(is, 48)]; + Td = Tb + Tc; + T25 = Tb - Tc; + } + { + E T4, T5, T8, T9; + T4 = I[WS(is, 32)]; + T5 = I[WS(is, 96)]; + T6 = T4 + T5; + T5R = T4 - T5; + T8 = I[WS(is, 16)]; + T9 = I[WS(is, 80)]; + Ta = T8 + T9; + T24 = T8 - T9; + } + TcD = T3 - T6; + TdU = Td - Ta; + { + E T26, T5Q, T7, Te; + T26 = KP707106781 * (T24 + T25); + T27 = T23 + T26; + T7r = T23 - T26; + T5Q = KP707106781 * (T25 - T24); + T5S = T5Q - T5R; + T8y = T5R + T5Q; + T7 = T3 + T6; + Te = Ta + Td; + Tf = T7 + Te; + Ta5 = T7 - Te; + } + } + { + E Ti, T28, Ts, T2c, Tl, T29, Tp, T2b; + { + E Tg, Th, Tq, Tr; + Tg = I[WS(is, 8)]; + Th = I[WS(is, 72)]; + Ti = Tg + Th; + T28 = Tg - Th; + Tq = I[WS(is, 24)]; + Tr = I[WS(is, 88)]; + Ts = Tq + Tr; + T2c = Tq - Tr; + } + { + E Tj, Tk, Tn, To; + Tj = I[WS(is, 40)]; + Tk = I[WS(is, 104)]; + Tl = Tj + Tk; + T29 = Tj - Tk; + Tn = I[WS(is, 120)]; + To = I[WS(is, 56)]; + Tp = Tn + To; + T2b = Tn - To; + } + { + E Tm, Tt, TcE, TcF; + Tm = Ti + Tl; + Tt = Tp + Ts; + Tu = Tm + Tt; + Tbq = Tt - Tm; + TcE = Ti - Tl; + TcF = Tp - Ts; + TcG = KP707106781 * (TcE + TcF); + TdV = KP707106781 * (TcF - TcE); + } + { + E T2a, T2d, T5T, T5U; + T2a = FNMS(KP382683432, T29, KP923879532 * T28); + T2d = FMA(KP923879532, T2b, KP382683432 * T2c); + T2e = T2a + T2d; + T8z = T2d - T2a; + T5T = FNMS(KP923879532, T2c, KP382683432 * T2b); + T5U = FMA(KP382683432, T28, KP923879532 * T29); + T5V = T5T - T5U; + T7s = T5U + T5T; + } + } + { + E Ty, T2g, TB, T2m, TF, T2l, TI, T2j; + { + E Tw, Tx, Tz, TA; + Tw = I[WS(is, 4)]; + Tx = I[WS(is, 68)]; + Ty = Tw + Tx; + T2g = Tw - Tx; + Tz = I[WS(is, 36)]; + TA = I[WS(is, 100)]; + TB = Tz + TA; + T2m = Tz - TA; + { + E TD, TE, T2h, TG, TH, T2i; + TD = I[WS(is, 20)]; + TE = I[WS(is, 84)]; + T2h = TD - TE; + TG = I[WS(is, 116)]; + TH = I[WS(is, 52)]; + T2i = TG - TH; + TF = TD + TE; + T2l = KP707106781 * (T2i - T2h); + TI = TG + TH; + T2j = KP707106781 * (T2h + T2i); + } + } + { + E TC, TJ, TcI, TcJ; + TC = Ty + TB; + TJ = TF + TI; + TK = TC + TJ; + Ta6 = TC - TJ; + TcI = Ty - TB; + TcJ = TI - TF; + TcK = FMA(KP923879532, TcI, KP382683432 * TcJ); + TdX = FNMS(KP382683432, TcI, KP923879532 * TcJ); + } + { + E T2k, T2n, T7u, T7v; + T2k = T2g + T2j; + T2n = T2l - T2m; + T2o = FMA(KP980785280, T2k, KP195090322 * T2n); + T5X = FNMS(KP195090322, T2k, KP980785280 * T2n); + T7u = T2g - T2j; + T7v = T2m + T2l; + T7w = FMA(KP831469612, T7u, KP555570233 * T7v); + T8B = FNMS(KP555570233, T7u, KP831469612 * T7v); + } + } + { + E TN, T2p, TQ, T2v, TU, T2u, TX, T2s; + { + E TL, TM, TO, TP; + TL = I[WS(is, 124)]; + TM = I[WS(is, 60)]; + TN = TL + TM; + T2p = TL - TM; + TO = I[WS(is, 28)]; + TP = I[WS(is, 92)]; + TQ = TO + TP; + T2v = TO - TP; + { + E TS, TT, T2q, TV, TW, T2r; + TS = I[WS(is, 12)]; + TT = I[WS(is, 76)]; + T2q = TS - TT; + TV = I[WS(is, 108)]; + TW = I[WS(is, 44)]; + T2r = TV - TW; + TU = TS + TT; + T2u = KP707106781 * (T2r - T2q); + TX = TV + TW; + T2s = KP707106781 * (T2q + T2r); + } + } + { + E TR, TY, TcL, TcM; + TR = TN + TQ; + TY = TU + TX; + TZ = TR + TY; + Ta7 = TR - TY; + TcL = TN - TQ; + TcM = TX - TU; + TcN = FNMS(KP382683432, TcM, KP923879532 * TcL); + TdY = FMA(KP382683432, TcL, KP923879532 * TcM); + } + { + E T2t, T2w, T7x, T7y; + T2t = T2p + T2s; + T2w = T2u - T2v; + T2x = FNMS(KP195090322, T2w, KP980785280 * T2t); + T5Y = FMA(KP195090322, T2t, KP980785280 * T2w); + T7x = T2p - T2s; + T7y = T2v + T2u; + T7z = FNMS(KP555570233, T7y, KP831469612 * T7x); + T8C = FMA(KP555570233, T7x, KP831469612 * T7y); + } + } + { + E T14, T2N, T17, T2D, T1b, T2O, T1e, T2C, T1j, T1m, T2K, TcR, T2Q, T1q, T1t; + E T2H, TcS, T2R; + { + E T12, T13, T15, T16; + T12 = I[WS(is, 2)]; + T13 = I[WS(is, 66)]; + T14 = T12 + T13; + T2N = T12 - T13; + T15 = I[WS(is, 34)]; + T16 = I[WS(is, 98)]; + T17 = T15 + T16; + T2D = T15 - T16; + } + { + E T19, T1a, T2B, T1c, T1d, T2A; + T19 = I[WS(is, 18)]; + T1a = I[WS(is, 82)]; + T2B = T19 - T1a; + T1c = I[WS(is, 114)]; + T1d = I[WS(is, 50)]; + T2A = T1c - T1d; + T1b = T19 + T1a; + T2O = KP707106781 * (T2B + T2A); + T1e = T1c + T1d; + T2C = KP707106781 * (T2A - T2B); + } + { + E T2I, T2J, T2F, T2G; + { + E T1h, T1i, T1k, T1l; + T1h = I[WS(is, 10)]; + T1i = I[WS(is, 74)]; + T1j = T1h + T1i; + T2I = T1h - T1i; + T1k = I[WS(is, 42)]; + T1l = I[WS(is, 106)]; + T1m = T1k + T1l; + T2J = T1k - T1l; + } + T2K = FMA(KP382683432, T2I, KP923879532 * T2J); + TcR = T1j - T1m; + T2Q = FNMS(KP382683432, T2J, KP923879532 * T2I); + { + E T1o, T1p, T1r, T1s; + T1o = I[WS(is, 122)]; + T1p = I[WS(is, 58)]; + T1q = T1o + T1p; + T2F = T1o - T1p; + T1r = I[WS(is, 26)]; + T1s = I[WS(is, 90)]; + T1t = T1r + T1s; + T2G = T1r - T1s; + } + T2H = FNMS(KP923879532, T2G, KP382683432 * T2F); + TcS = T1q - T1t; + T2R = FMA(KP923879532, T2F, KP382683432 * T2G); + } + { + E T18, T1f, TcQ, TcT; + T18 = T14 + T17; + T1f = T1b + T1e; + T1g = T18 + T1f; + Taa = T18 - T1f; + TcQ = T14 - T17; + TcT = KP707106781 * (TcR + TcS); + TcU = TcQ + TcT; + TeA = TcQ - TcT; + } + { + E TcV, TcW, T1n, T1u; + TcV = T1e - T1b; + TcW = KP707106781 * (TcS - TcR); + TcX = TcV + TcW; + Tez = TcW - TcV; + T1n = T1j + T1m; + T1u = T1q + T1t; + T1v = T1n + T1u; + Tab = T1u - T1n; + } + { + E T2E, T2L, T7C, T7D; + T2E = T2C - T2D; + T2L = T2H - T2K; + T2M = T2E + T2L; + T6z = T2L - T2E; + T7C = T2N - T2O; + T7D = T2K + T2H; + T7E = T7C + T7D; + T9e = T7C - T7D; + } + { + E T7F, T7G, T2P, T2S; + T7F = T2D + T2C; + T7G = T2R - T2Q; + T7H = T7F + T7G; + T9d = T7G - T7F; + T2P = T2N + T2O; + T2S = T2Q + T2R; + T2T = T2P + T2S; + T6A = T2P - T2S; + } + } + { + E T4z, TaP, T5B, TaQ, T4G, TaT, T5y, TaS, Tbf, Tbg, T4O, Tdw, T5E, Tbc, Tbd; + E T4V, Tdx, T5D; + { + E T4x, T4y, T5z, T5A; + T4x = I[WS(is, 127)]; + T4y = I[WS(is, 63)]; + T4z = T4x - T4y; + TaP = T4x + T4y; + T5z = I[WS(is, 31)]; + T5A = I[WS(is, 95)]; + T5B = T5z - T5A; + TaQ = T5z + T5A; + } + { + E T4A, T4B, T4C, T4D, T4E, T4F; + T4A = I[WS(is, 15)]; + T4B = I[WS(is, 79)]; + T4C = T4A - T4B; + T4D = I[WS(is, 111)]; + T4E = I[WS(is, 47)]; + T4F = T4D - T4E; + T4G = KP707106781 * (T4C + T4F); + TaT = T4D + T4E; + T5y = KP707106781 * (T4F - T4C); + TaS = T4A + T4B; + } + { + E T4K, T4N, T4R, T4U; + { + E T4I, T4J, T4L, T4M; + T4I = I[WS(is, 7)]; + T4J = I[WS(is, 71)]; + T4K = T4I - T4J; + Tbf = T4I + T4J; + T4L = I[WS(is, 39)]; + T4M = I[WS(is, 103)]; + T4N = T4L - T4M; + Tbg = T4L + T4M; + } + T4O = FNMS(KP382683432, T4N, KP923879532 * T4K); + Tdw = Tbf - Tbg; + T5E = FMA(KP382683432, T4K, KP923879532 * T4N); + { + E T4P, T4Q, T4S, T4T; + T4P = I[WS(is, 119)]; + T4Q = I[WS(is, 55)]; + T4R = T4P - T4Q; + Tbc = T4P + T4Q; + T4S = I[WS(is, 23)]; + T4T = I[WS(is, 87)]; + T4U = T4S - T4T; + Tbd = T4S + T4T; + } + T4V = FMA(KP923879532, T4R, KP382683432 * T4U); + Tdx = Tbc - Tbd; + T5D = FNMS(KP923879532, T4U, KP382683432 * T4R); + } + { + E T4H, T4W, Tdv, Tdy; + T4H = T4z + T4G; + T4W = T4O + T4V; + T4X = T4H + T4W; + T6L = T4H - T4W; + Tdv = TaP - TaQ; + Tdy = KP707106781 * (Tdw + Tdx); + Tdz = Tdv + Tdy; + TeL = Tdv - Tdy; + } + { + E TdI, TdJ, T5C, T5F; + TdI = TaT - TaS; + TdJ = KP707106781 * (Tdx - Tdw); + TdK = TdI + TdJ; + TeP = TdJ - TdI; + T5C = T5y - T5B; + T5F = T5D - T5E; + T5G = T5C + T5F; + T6P = T5F - T5C; + } + { + E T8b, T8c, TaR, TaU; + T8b = T4z - T4G; + T8c = T5E + T5D; + T8d = T8b + T8c; + T9p = T8b - T8c; + TaR = TaP + TaQ; + TaU = TaS + TaT; + TaV = TaR - TaU; + Tc3 = TaR + TaU; + } + { + E Tbe, Tbh, T8m, T8n; + Tbe = Tbc + Tbd; + Tbh = Tbf + Tbg; + Tbi = Tbe - Tbh; + Tc4 = Tbh + Tbe; + T8m = T5B + T5y; + T8n = T4V - T4O; + T8o = T8m + T8n; + T9t = T8n - T8m; + } + } + { + E T3k, Tai, T4m, Taj, T3r, Tam, T4j, Tal, TaI, TaJ, T3z, Tdb, T4p, TaF, TaG; + E T3G, Tdc, T4o; + { + E T3i, T3j, T4k, T4l; + T3i = I[WS(is, 1)]; + T3j = I[WS(is, 65)]; + T3k = T3i - T3j; + Tai = T3i + T3j; + T4k = I[WS(is, 33)]; + T4l = I[WS(is, 97)]; + T4m = T4k - T4l; + Taj = T4k + T4l; + } + { + E T3l, T3m, T3n, T3o, T3p, T3q; + T3l = I[WS(is, 17)]; + T3m = I[WS(is, 81)]; + T3n = T3l - T3m; + T3o = I[WS(is, 113)]; + T3p = I[WS(is, 49)]; + T3q = T3o - T3p; + T3r = KP707106781 * (T3n + T3q); + Tam = T3o + T3p; + T4j = KP707106781 * (T3q - T3n); + Tal = T3l + T3m; + } + { + E T3v, T3y, T3C, T3F; + { + E T3t, T3u, T3w, T3x; + T3t = I[WS(is, 9)]; + T3u = I[WS(is, 73)]; + T3v = T3t - T3u; + TaI = T3t + T3u; + T3w = I[WS(is, 41)]; + T3x = I[WS(is, 105)]; + T3y = T3w - T3x; + TaJ = T3w + T3x; + } + T3z = FNMS(KP382683432, T3y, KP923879532 * T3v); + Tdb = TaI - TaJ; + T4p = FMA(KP382683432, T3v, KP923879532 * T3y); + { + E T3A, T3B, T3D, T3E; + T3A = I[WS(is, 121)]; + T3B = I[WS(is, 57)]; + T3C = T3A - T3B; + TaF = T3A + T3B; + T3D = I[WS(is, 25)]; + T3E = I[WS(is, 89)]; + T3F = T3D - T3E; + TaG = T3D + T3E; + } + T3G = FMA(KP923879532, T3C, KP382683432 * T3F); + Tdc = TaF - TaG; + T4o = FNMS(KP923879532, T3F, KP382683432 * T3C); + } + { + E T3s, T3H, Tda, Tdd; + T3s = T3k + T3r; + T3H = T3z + T3G; + T3I = T3s + T3H; + T6H = T3s - T3H; + Tda = Tai - Taj; + Tdd = KP707106781 * (Tdb + Tdc); + Tde = Tda + Tdd; + TeH = Tda - Tdd; + } + { + E Tdn, Tdo, T4n, T4q; + Tdn = Tam - Tal; + Tdo = KP707106781 * (Tdc - Tdb); + Tdp = Tdn + Tdo; + TeF = Tdo - Tdn; + T4n = T4j - T4m; + T4q = T4o - T4p; + T4r = T4n + T4q; + T6F = T4q - T4n; + } + { + E T7S, T7T, Tak, Tan; + T7S = T3k - T3r; + T7T = T4p + T4o; + T7U = T7S + T7T; + T9l = T7S - T7T; + Tak = Tai + Taj; + Tan = Tal + Tam; + Tao = Tak - Tan; + TbW = Tak + Tan; + } + { + E TaH, TaK, T83, T84; + TaH = TaF + TaG; + TaK = TaI + TaJ; + TaL = TaH - TaK; + TbX = TaK + TaH; + T83 = T4m + T4j; + T84 = T3G - T3z; + T85 = T83 + T84; + T9j = T84 - T83; + } + } + { + E T1z, T2V, T1C, T39, T1G, T38, T1J, T2Y, T1O, T1R, T32, Td0, T3c, T1V, T1Y; + E T35, Td1, T3b; + { + E T1x, T1y, T1A, T1B; + T1x = I[WS(is, 126)]; + T1y = I[WS(is, 62)]; + T1z = T1x + T1y; + T2V = T1x - T1y; + T1A = I[WS(is, 30)]; + T1B = I[WS(is, 94)]; + T1C = T1A + T1B; + T39 = T1A - T1B; + } + { + E T1E, T1F, T2W, T1H, T1I, T2X; + T1E = I[WS(is, 14)]; + T1F = I[WS(is, 78)]; + T2W = T1E - T1F; + T1H = I[WS(is, 110)]; + T1I = I[WS(is, 46)]; + T2X = T1H - T1I; + T1G = T1E + T1F; + T38 = KP707106781 * (T2X - T2W); + T1J = T1H + T1I; + T2Y = KP707106781 * (T2W + T2X); + } + { + E T30, T31, T33, T34; + { + E T1M, T1N, T1P, T1Q; + T1M = I[WS(is, 6)]; + T1N = I[WS(is, 70)]; + T1O = T1M + T1N; + T30 = T1M - T1N; + T1P = I[WS(is, 38)]; + T1Q = I[WS(is, 102)]; + T1R = T1P + T1Q; + T31 = T1P - T1Q; + } + T32 = FNMS(KP382683432, T31, KP923879532 * T30); + Td0 = T1O - T1R; + T3c = FMA(KP382683432, T30, KP923879532 * T31); + { + E T1T, T1U, T1W, T1X; + T1T = I[WS(is, 118)]; + T1U = I[WS(is, 54)]; + T1V = T1T + T1U; + T33 = T1T - T1U; + T1W = I[WS(is, 22)]; + T1X = I[WS(is, 86)]; + T1Y = T1W + T1X; + T34 = T1W - T1X; + } + T35 = FMA(KP923879532, T33, KP382683432 * T34); + Td1 = T1V - T1Y; + T3b = FNMS(KP923879532, T34, KP382683432 * T33); + } + { + E T1D, T1K, TcZ, Td2; + T1D = T1z + T1C; + T1K = T1G + T1J; + T1L = T1D + T1K; + Tad = T1D - T1K; + TcZ = T1z - T1C; + Td2 = KP707106781 * (Td0 + Td1); + Td3 = TcZ + Td2; + Tew = TcZ - Td2; + } + { + E Td4, Td5, T1S, T1Z; + Td4 = T1J - T1G; + Td5 = KP707106781 * (Td1 - Td0); + Td6 = Td4 + Td5; + Tex = Td5 - Td4; + T1S = T1O + T1R; + T1Z = T1V + T1Y; + T20 = T1S + T1Z; + Tae = T1Z - T1S; + } + { + E T2Z, T36, T7J, T7K; + T2Z = T2V + T2Y; + T36 = T32 + T35; + T37 = T2Z + T36; + T6x = T2Z - T36; + T7J = T2V - T2Y; + T7K = T3c + T3b; + T7L = T7J + T7K; + T9a = T7J - T7K; + } + { + E T7M, T7N, T3a, T3d; + T7M = T39 + T38; + T7N = T35 - T32; + T7O = T7M + T7N; + T9b = T7N - T7M; + T3a = T38 - T39; + T3d = T3b - T3c; + T3e = T3a + T3d; + T6w = T3d - T3a; + } + } + { + E T3L, Tdf, T3X, Tar, T42, Tdi, T4e, Tay, T3S, Tdg, T3U, Tau, T49, Tdj, T4b; + E TaB, Tdh, Tdk; + { + E T3J, T3K, Tap, T3V, T3W, Taq; + T3J = I[WS(is, 5)]; + T3K = I[WS(is, 69)]; + Tap = T3J + T3K; + T3V = I[WS(is, 37)]; + T3W = I[WS(is, 101)]; + Taq = T3V + T3W; + T3L = T3J - T3K; + Tdf = Tap - Taq; + T3X = T3V - T3W; + Tar = Tap + Taq; + } + { + E T40, T41, Taw, T4c, T4d, Tax; + T40 = I[WS(is, 125)]; + T41 = I[WS(is, 61)]; + Taw = T40 + T41; + T4c = I[WS(is, 29)]; + T4d = I[WS(is, 93)]; + Tax = T4c + T4d; + T42 = T40 - T41; + Tdi = Taw - Tax; + T4e = T4c - T4d; + Tay = Taw + Tax; + } + { + E T3O, Tas, T3R, Tat; + { + E T3M, T3N, T3P, T3Q; + T3M = I[WS(is, 21)]; + T3N = I[WS(is, 85)]; + T3O = T3M - T3N; + Tas = T3M + T3N; + T3P = I[WS(is, 117)]; + T3Q = I[WS(is, 53)]; + T3R = T3P - T3Q; + Tat = T3P + T3Q; + } + T3S = KP707106781 * (T3O + T3R); + Tdg = Tat - Tas; + T3U = KP707106781 * (T3R - T3O); + Tau = Tas + Tat; + } + { + E T45, Taz, T48, TaA; + { + E T43, T44, T46, T47; + T43 = I[WS(is, 13)]; + T44 = I[WS(is, 77)]; + T45 = T43 - T44; + Taz = T43 + T44; + T46 = I[WS(is, 109)]; + T47 = I[WS(is, 45)]; + T48 = T46 - T47; + TaA = T46 + T47; + } + T49 = KP707106781 * (T45 + T48); + Tdj = TaA - Taz; + T4b = KP707106781 * (T48 - T45); + TaB = Taz + TaA; + } + TbZ = Tar + Tau; + Tc0 = Tay + TaB; + { + E T3T, T3Y, Tdq, Tdr; + T3T = T3L + T3S; + T3Y = T3U - T3X; + T3Z = FMA(KP980785280, T3T, KP195090322 * T3Y); + T4s = FNMS(KP195090322, T3T, KP980785280 * T3Y); + Tdq = FNMS(KP382683432, Tdf, KP923879532 * Tdg); + Tdr = FMA(KP382683432, Tdi, KP923879532 * Tdj); + Tds = Tdq + Tdr; + TeI = Tdr - Tdq; + } + { + E T4a, T4f, T7Y, T7Z; + T4a = T42 + T49; + T4f = T4b - T4e; + T4g = FNMS(KP195090322, T4f, KP980785280 * T4a); + T4t = FMA(KP195090322, T4a, KP980785280 * T4f); + T7Y = T42 - T49; + T7Z = T4e + T4b; + T80 = FNMS(KP555570233, T7Z, KP831469612 * T7Y); + T87 = FMA(KP555570233, T7Y, KP831469612 * T7Z); + } + Tdh = FMA(KP923879532, Tdf, KP382683432 * Tdg); + Tdk = FNMS(KP382683432, Tdj, KP923879532 * Tdi); + Tdl = Tdh + Tdk; + TeE = Tdk - Tdh; + { + E T7V, T7W, Tav, TaC; + T7V = T3L - T3S; + T7W = T3X + T3U; + T7X = FMA(KP831469612, T7V, KP555570233 * T7W); + T86 = FNMS(KP555570233, T7V, KP831469612 * T7W); + Tav = Tar - Tau; + TaC = Tay - TaB; + TaD = KP707106781 * (Tav + TaC); + TaM = KP707106781 * (TaC - Tav); + } + } + { + E T50, TdA, T5c, TaY, T5h, TdD, T5t, Tb5, T57, TdB, T59, Tb1, T5o, TdE, T5q; + E Tb8, TdC, TdF; + { + E T4Y, T4Z, TaW, T5a, T5b, TaX; + T4Y = I[WS(is, 3)]; + T4Z = I[WS(is, 67)]; + TaW = T4Y + T4Z; + T5a = I[WS(is, 35)]; + T5b = I[WS(is, 99)]; + TaX = T5a + T5b; + T50 = T4Y - T4Z; + TdA = TaW - TaX; + T5c = T5a - T5b; + TaY = TaW + TaX; + } + { + E T5f, T5g, Tb3, T5r, T5s, Tb4; + T5f = I[WS(is, 123)]; + T5g = I[WS(is, 59)]; + Tb3 = T5f + T5g; + T5r = I[WS(is, 27)]; + T5s = I[WS(is, 91)]; + Tb4 = T5r + T5s; + T5h = T5f - T5g; + TdD = Tb3 - Tb4; + T5t = T5r - T5s; + Tb5 = Tb3 + Tb4; + } + { + E T53, TaZ, T56, Tb0; + { + E T51, T52, T54, T55; + T51 = I[WS(is, 19)]; + T52 = I[WS(is, 83)]; + T53 = T51 - T52; + TaZ = T51 + T52; + T54 = I[WS(is, 115)]; + T55 = I[WS(is, 51)]; + T56 = T54 - T55; + Tb0 = T54 + T55; + } + T57 = KP707106781 * (T53 + T56); + TdB = Tb0 - TaZ; + T59 = KP707106781 * (T56 - T53); + Tb1 = TaZ + Tb0; + } + { + E T5k, Tb6, T5n, Tb7; + { + E T5i, T5j, T5l, T5m; + T5i = I[WS(is, 11)]; + T5j = I[WS(is, 75)]; + T5k = T5i - T5j; + Tb6 = T5i + T5j; + T5l = I[WS(is, 107)]; + T5m = I[WS(is, 43)]; + T5n = T5l - T5m; + Tb7 = T5l + T5m; + } + T5o = KP707106781 * (T5k + T5n); + TdE = Tb7 - Tb6; + T5q = KP707106781 * (T5n - T5k); + Tb8 = Tb6 + Tb7; + } + Tc6 = TaY + Tb1; + Tc7 = Tb5 + Tb8; + { + E T58, T5d, TdL, TdM; + T58 = T50 + T57; + T5d = T59 - T5c; + T5e = FMA(KP980785280, T58, KP195090322 * T5d); + T5H = FNMS(KP195090322, T58, KP980785280 * T5d); + TdL = FNMS(KP382683432, TdA, KP923879532 * TdB); + TdM = FMA(KP382683432, TdD, KP923879532 * TdE); + TdN = TdL + TdM; + TeM = TdM - TdL; + } + { + E T5p, T5u, T8h, T8i; + T5p = T5h + T5o; + T5u = T5q - T5t; + T5v = FNMS(KP195090322, T5u, KP980785280 * T5p); + T5I = FMA(KP195090322, T5p, KP980785280 * T5u); + T8h = T5h - T5o; + T8i = T5t + T5q; + T8j = FNMS(KP555570233, T8i, KP831469612 * T8h); + T8q = FMA(KP555570233, T8h, KP831469612 * T8i); + } + TdC = FMA(KP923879532, TdA, KP382683432 * TdB); + TdF = FNMS(KP382683432, TdE, KP923879532 * TdD); + TdG = TdC + TdF; + TeO = TdF - TdC; + { + E T8e, T8f, Tb2, Tb9; + T8e = T50 - T57; + T8f = T5c + T59; + T8g = FMA(KP831469612, T8e, KP555570233 * T8f); + T8p = FNMS(KP555570233, T8e, KP831469612 * T8f); + Tb2 = TaY - Tb1; + Tb9 = Tb5 - Tb8; + Tba = KP707106781 * (Tb2 + Tb9); + Tbj = KP707106781 * (Tb9 - Tb2); + } + } + { + E T11, TbV, Tc9, Tcf, T22, Tcb, Tc2, Tce; + { + E Tv, T10, Tc5, Tc8; + Tv = Tf + Tu; + T10 = TK + TZ; + T11 = Tv + T10; + TbV = Tv - T10; + Tc5 = Tc3 + Tc4; + Tc8 = Tc6 + Tc7; + Tc9 = Tc5 - Tc8; + Tcf = Tc5 + Tc8; + } + { + E T1w, T21, TbY, Tc1; + T1w = T1g + T1v; + T21 = T1L + T20; + T22 = T1w + T21; + Tcb = T21 - T1w; + TbY = TbW + TbX; + Tc1 = TbZ + Tc0; + Tc2 = TbY - Tc1; + Tce = TbY + Tc1; + } + ro[WS(ros, 32)] = T11 - T22; + io[WS(ios, 32)] = Tcf - Tce; + { + E Tca, Tcc, Tcd, Tcg; + Tca = KP707106781 * (Tc2 + Tc9); + ro[WS(ros, 48)] = TbV - Tca; + ro[WS(ros, 16)] = TbV + Tca; + Tcc = KP707106781 * (Tc9 - Tc2); + io[WS(ios, 16)] = Tcb + Tcc; + io[WS(ios, 48)] = Tcc - Tcb; + Tcd = T11 + T22; + Tcg = Tce + Tcf; + ro[WS(ros, 64)] = Tcd - Tcg; + ro[0] = Tcd + Tcg; + } + } + { + E Tch, Tcu, Tck, Tct, Tco, Tcy, Tcr, Tcz, Tci, Tcj; + Tch = Tf - Tu; + Tcu = TZ - TK; + Tci = T1g - T1v; + Tcj = T1L - T20; + Tck = KP707106781 * (Tci + Tcj); + Tct = KP707106781 * (Tcj - Tci); + { + E Tcm, Tcn, Tcp, Tcq; + Tcm = TbW - TbX; + Tcn = Tc0 - TbZ; + Tco = FMA(KP923879532, Tcm, KP382683432 * Tcn); + Tcy = FNMS(KP382683432, Tcm, KP923879532 * Tcn); + Tcp = Tc3 - Tc4; + Tcq = Tc7 - Tc6; + Tcr = FNMS(KP382683432, Tcq, KP923879532 * Tcp); + Tcz = FMA(KP382683432, Tcp, KP923879532 * Tcq); + } + { + E Tcl, Tcs, Tcx, TcA; + Tcl = Tch + Tck; + Tcs = Tco + Tcr; + ro[WS(ros, 56)] = Tcl - Tcs; + ro[WS(ros, 8)] = Tcl + Tcs; + Tcx = Tcu + Tct; + TcA = Tcy + Tcz; + io[WS(ios, 8)] = Tcx + TcA; + io[WS(ios, 56)] = TcA - Tcx; + } + { + E Tcv, Tcw, TcB, TcC; + Tcv = Tct - Tcu; + Tcw = Tcr - Tco; + io[WS(ios, 24)] = Tcv + Tcw; + io[WS(ios, 40)] = Tcw - Tcv; + TcB = Tch - Tck; + TcC = Tcz - Tcy; + ro[WS(ros, 40)] = TcB - TcC; + ro[WS(ros, 24)] = TcB + TcC; + } + } + { + E Ta9, TbB, Tbs, TbM, Tag, TbL, TbJ, TbR, TaO, Tbw, Tbp, TbC, TbG, TbQ, Tbl; + E Tbx, Ta8, Tbr; + Ta8 = KP707106781 * (Ta6 + Ta7); + Ta9 = Ta5 + Ta8; + TbB = Ta5 - Ta8; + Tbr = KP707106781 * (Ta7 - Ta6); + Tbs = Tbq + Tbr; + TbM = Tbr - Tbq; + { + E Tac, Taf, TbH, TbI; + Tac = FMA(KP923879532, Taa, KP382683432 * Tab); + Taf = FNMS(KP382683432, Tae, KP923879532 * Tad); + Tag = Tac + Taf; + TbL = Taf - Tac; + TbH = TaV - Tba; + TbI = Tbj - Tbi; + TbJ = FNMS(KP555570233, TbI, KP831469612 * TbH); + TbR = FMA(KP555570233, TbH, KP831469612 * TbI); + } + { + E TaE, TaN, Tbn, Tbo; + TaE = Tao + TaD; + TaN = TaL + TaM; + TaO = FMA(KP980785280, TaE, KP195090322 * TaN); + Tbw = FNMS(KP195090322, TaE, KP980785280 * TaN); + Tbn = FNMS(KP382683432, Taa, KP923879532 * Tab); + Tbo = FMA(KP382683432, Tad, KP923879532 * Tae); + Tbp = Tbn + Tbo; + TbC = Tbo - Tbn; + } + { + E TbE, TbF, Tbb, Tbk; + TbE = Tao - TaD; + TbF = TaM - TaL; + TbG = FMA(KP831469612, TbE, KP555570233 * TbF); + TbQ = FNMS(KP555570233, TbE, KP831469612 * TbF); + Tbb = TaV + Tba; + Tbk = Tbi + Tbj; + Tbl = FNMS(KP195090322, Tbk, KP980785280 * Tbb); + Tbx = FMA(KP195090322, Tbb, KP980785280 * Tbk); + } + { + E Tah, Tbm, Tbv, Tby; + Tah = Ta9 + Tag; + Tbm = TaO + Tbl; + ro[WS(ros, 60)] = Tah - Tbm; + ro[WS(ros, 4)] = Tah + Tbm; + Tbv = Tbs + Tbp; + Tby = Tbw + Tbx; + io[WS(ios, 4)] = Tbv + Tby; + io[WS(ios, 60)] = Tby - Tbv; + } + { + E Tbt, Tbu, Tbz, TbA; + Tbt = Tbp - Tbs; + Tbu = Tbl - TaO; + io[WS(ios, 28)] = Tbt + Tbu; + io[WS(ios, 36)] = Tbu - Tbt; + Tbz = Ta9 - Tag; + TbA = Tbx - Tbw; + ro[WS(ros, 36)] = Tbz - TbA; + ro[WS(ros, 28)] = Tbz + TbA; + } + { + E TbD, TbK, TbP, TbS; + TbD = TbB + TbC; + TbK = TbG + TbJ; + ro[WS(ros, 52)] = TbD - TbK; + ro[WS(ros, 12)] = TbD + TbK; + TbP = TbM + TbL; + TbS = TbQ + TbR; + io[WS(ios, 12)] = TbP + TbS; + io[WS(ios, 52)] = TbS - TbP; + } + { + E TbN, TbO, TbT, TbU; + TbN = TbL - TbM; + TbO = TbJ - TbG; + io[WS(ios, 20)] = TbN + TbO; + io[WS(ios, 44)] = TbO - TbN; + TbT = TbB - TbC; + TbU = TbR - TbQ; + ro[WS(ros, 44)] = TbT - TbU; + ro[WS(ros, 20)] = TbT + TbU; + } + } + { + E Tev, Tf7, Tfc, Tfm, Tff, Tfn, TeC, Tfh, TeK, Tf2, TeV, Tf8, TeY, Tfi, TeR; + E Tf3; + { + E Tet, Teu, Tfa, Tfb; + Tet = TcD - TcG; + Teu = TdY - TdX; + Tev = Tet - Teu; + Tf7 = Tet + Teu; + Tfa = TeF + TeE; + Tfb = TeH + TeI; + Tfc = FMA(KP290284677, Tfa, KP956940335 * Tfb); + Tfm = FNMS(KP290284677, Tfb, KP956940335 * Tfa); + } + { + E Tfd, Tfe, Tey, TeB; + Tfd = TeL + TeM; + Tfe = TeP + TeO; + Tff = FNMS(KP290284677, Tfe, KP956940335 * Tfd); + Tfn = FMA(KP956940335, Tfe, KP290284677 * Tfd); + Tey = FMA(KP555570233, Tew, KP831469612 * Tex); + TeB = FNMS(KP555570233, TeA, KP831469612 * Tez); + TeC = Tey - TeB; + Tfh = TeB + Tey; + } + { + E TeG, TeJ, TeT, TeU; + TeG = TeE - TeF; + TeJ = TeH - TeI; + TeK = FMA(KP471396736, TeG, KP881921264 * TeJ); + Tf2 = FNMS(KP471396736, TeJ, KP881921264 * TeG); + TeT = FNMS(KP555570233, Tex, KP831469612 * Tew); + TeU = FMA(KP831469612, TeA, KP555570233 * Tez); + TeV = TeT - TeU; + Tf8 = TeU + TeT; + } + { + E TeW, TeX, TeN, TeQ; + TeW = TcN - TcK; + TeX = TdV - TdU; + TeY = TeW - TeX; + Tfi = TeX + TeW; + TeN = TeL - TeM; + TeQ = TeO - TeP; + TeR = FNMS(KP471396736, TeQ, KP881921264 * TeN); + Tf3 = FMA(KP881921264, TeQ, KP471396736 * TeN); + } + { + E TeD, TeS, Tf1, Tf4; + TeD = Tev + TeC; + TeS = TeK + TeR; + ro[WS(ros, 54)] = TeD - TeS; + ro[WS(ros, 10)] = TeD + TeS; + Tf1 = TeY + TeV; + Tf4 = Tf2 + Tf3; + io[WS(ios, 10)] = Tf1 + Tf4; + io[WS(ios, 54)] = Tf4 - Tf1; + } + { + E TeZ, Tf0, Tf5, Tf6; + TeZ = TeV - TeY; + Tf0 = TeR - TeK; + io[WS(ios, 22)] = TeZ + Tf0; + io[WS(ios, 42)] = Tf0 - TeZ; + Tf5 = Tev - TeC; + Tf6 = Tf3 - Tf2; + ro[WS(ros, 42)] = Tf5 - Tf6; + ro[WS(ros, 22)] = Tf5 + Tf6; + } + { + E Tf9, Tfg, Tfl, Tfo; + Tf9 = Tf7 + Tf8; + Tfg = Tfc + Tff; + ro[WS(ros, 58)] = Tf9 - Tfg; + ro[WS(ros, 6)] = Tf9 + Tfg; + Tfl = Tfi + Tfh; + Tfo = Tfm + Tfn; + io[WS(ios, 6)] = Tfl + Tfo; + io[WS(ios, 58)] = Tfo - Tfl; + } + { + E Tfj, Tfk, Tfp, Tfq; + Tfj = Tfh - Tfi; + Tfk = Tff - Tfc; + io[WS(ios, 26)] = Tfj + Tfk; + io[WS(ios, 38)] = Tfk - Tfj; + Tfp = Tf7 - Tf8; + Tfq = Tfn - Tfm; + ro[WS(ros, 38)] = Tfp - Tfq; + ro[WS(ros, 26)] = Tfp + Tfq; + } + } + { + E TcP, Te9, Tee, Teo, Teh, Tep, Td8, Tej, Tdu, Te4, TdT, Tea, Te0, Tek, TdP; + E Te5; + { + E TcH, TcO, Tec, Ted; + TcH = TcD + TcG; + TcO = TcK + TcN; + TcP = TcH + TcO; + Te9 = TcH - TcO; + Tec = Tde - Tdl; + Ted = Tds - Tdp; + Tee = FMA(KP773010453, Tec, KP634393284 * Ted); + Teo = FNMS(KP634393284, Tec, KP773010453 * Ted); + } + { + E Tef, Teg, TcY, Td7; + Tef = Tdz - TdG; + Teg = TdN - TdK; + Teh = FNMS(KP634393284, Teg, KP773010453 * Tef); + Tep = FMA(KP634393284, Tef, KP773010453 * Teg); + TcY = FMA(KP980785280, TcU, KP195090322 * TcX); + Td7 = FNMS(KP195090322, Td6, KP980785280 * Td3); + Td8 = TcY + Td7; + Tej = Td7 - TcY; + } + { + E Tdm, Tdt, TdR, TdS; + Tdm = Tde + Tdl; + Tdt = Tdp + Tds; + Tdu = FMA(KP995184726, Tdm, KP098017140 * Tdt); + Te4 = FNMS(KP098017140, Tdm, KP995184726 * Tdt); + TdR = FNMS(KP195090322, TcU, KP980785280 * TcX); + TdS = FMA(KP195090322, Td3, KP980785280 * Td6); + TdT = TdR + TdS; + Tea = TdS - TdR; + } + { + E TdW, TdZ, TdH, TdO; + TdW = TdU + TdV; + TdZ = TdX + TdY; + Te0 = TdW + TdZ; + Tek = TdZ - TdW; + TdH = Tdz + TdG; + TdO = TdK + TdN; + TdP = FNMS(KP098017140, TdO, KP995184726 * TdH); + Te5 = FMA(KP098017140, TdH, KP995184726 * TdO); + } + { + E Td9, TdQ, Te3, Te6; + Td9 = TcP + Td8; + TdQ = Tdu + TdP; + ro[WS(ros, 62)] = Td9 - TdQ; + ro[WS(ros, 2)] = Td9 + TdQ; + Te3 = Te0 + TdT; + Te6 = Te4 + Te5; + io[WS(ios, 2)] = Te3 + Te6; + io[WS(ios, 62)] = Te6 - Te3; + } + { + E Te1, Te2, Te7, Te8; + Te1 = TdT - Te0; + Te2 = TdP - Tdu; + io[WS(ios, 30)] = Te1 + Te2; + io[WS(ios, 34)] = Te2 - Te1; + Te7 = TcP - Td8; + Te8 = Te5 - Te4; + ro[WS(ros, 34)] = Te7 - Te8; + ro[WS(ros, 30)] = Te7 + Te8; + } + { + E Teb, Tei, Ten, Teq; + Teb = Te9 + Tea; + Tei = Tee + Teh; + ro[WS(ros, 50)] = Teb - Tei; + ro[WS(ros, 14)] = Teb + Tei; + Ten = Tek + Tej; + Teq = Teo + Tep; + io[WS(ios, 14)] = Ten + Teq; + io[WS(ios, 50)] = Teq - Ten; + } + { + E Tel, Tem, Ter, Tes; + Tel = Tej - Tek; + Tem = Teh - Tee; + io[WS(ios, 18)] = Tel + Tem; + io[WS(ios, 46)] = Tem - Tel; + Ter = Te9 - Tea; + Tes = Tep - Teo; + ro[WS(ros, 46)] = Ter - Tes; + ro[WS(ros, 18)] = Ter + Tes; + } + } + { + E T6v, T77, T6C, T7h, T6Y, T7i, T6V, T78, T6R, T7n, T73, T7f, T6K, T7m, T72; + E T7c; + { + E T6t, T6u, T6T, T6U; + T6t = T27 - T2e; + T6u = T5Y - T5X; + T6v = T6t - T6u; + T77 = T6t + T6u; + { + E T6y, T6B, T6W, T6X; + T6y = FMA(KP773010453, T6w, KP634393284 * T6x); + T6B = FNMS(KP634393284, T6A, KP773010453 * T6z); + T6C = T6y - T6B; + T7h = T6B + T6y; + T6W = T2x - T2o; + T6X = T5V - T5S; + T6Y = T6W - T6X; + T7i = T6X + T6W; + } + T6T = FNMS(KP634393284, T6w, KP773010453 * T6x); + T6U = FMA(KP634393284, T6z, KP773010453 * T6A); + T6V = T6T - T6U; + T78 = T6U + T6T; + { + E T6N, T7d, T6Q, T7e, T6M, T6O; + T6M = T5I - T5H; + T6N = T6L - T6M; + T7d = T6L + T6M; + T6O = T5v - T5e; + T6Q = T6O - T6P; + T7e = T6P + T6O; + T6R = FNMS(KP427555093, T6Q, KP903989293 * T6N); + T7n = FMA(KP941544065, T7e, KP336889853 * T7d); + T73 = FMA(KP903989293, T6Q, KP427555093 * T6N); + T7f = FNMS(KP336889853, T7e, KP941544065 * T7d); + } + { + E T6G, T7a, T6J, T7b, T6E, T6I; + T6E = T4g - T3Z; + T6G = T6E - T6F; + T7a = T6F + T6E; + T6I = T4t - T4s; + T6J = T6H - T6I; + T7b = T6H + T6I; + T6K = FMA(KP427555093, T6G, KP903989293 * T6J); + T7m = FNMS(KP336889853, T7b, KP941544065 * T7a); + T72 = FNMS(KP427555093, T6J, KP903989293 * T6G); + T7c = FMA(KP336889853, T7a, KP941544065 * T7b); + } + } + { + E T6D, T6S, T71, T74; + T6D = T6v + T6C; + T6S = T6K + T6R; + ro[WS(ros, 55)] = T6D - T6S; + ro[WS(ros, 9)] = T6D + T6S; + T71 = T6Y + T6V; + T74 = T72 + T73; + io[WS(ios, 9)] = T71 + T74; + io[WS(ios, 55)] = T74 - T71; + } + { + E T6Z, T70, T75, T76; + T6Z = T6V - T6Y; + T70 = T6R - T6K; + io[WS(ios, 23)] = T6Z + T70; + io[WS(ios, 41)] = T70 - T6Z; + T75 = T6v - T6C; + T76 = T73 - T72; + ro[WS(ros, 41)] = T75 - T76; + ro[WS(ros, 23)] = T75 + T76; + } + { + E T79, T7g, T7l, T7o; + T79 = T77 + T78; + T7g = T7c + T7f; + ro[WS(ros, 57)] = T79 - T7g; + ro[WS(ros, 7)] = T79 + T7g; + T7l = T7i + T7h; + T7o = T7m + T7n; + io[WS(ios, 7)] = T7l + T7o; + io[WS(ios, 57)] = T7o - T7l; + } + { + E T7j, T7k, T7p, T7q; + T7j = T7h - T7i; + T7k = T7f - T7c; + io[WS(ios, 25)] = T7j + T7k; + io[WS(ios, 39)] = T7k - T7j; + T7p = T77 - T78; + T7q = T7n - T7m; + ro[WS(ros, 39)] = T7p - T7q; + ro[WS(ros, 25)] = T7p + T7q; + } + } + { + E T99, T9L, T9g, T9V, T9C, T9W, T9z, T9M, T9v, Ta1, T9H, T9T, T9o, Ta0, T9G; + E T9Q; + { + E T97, T98, T9x, T9y; + T97 = T7r - T7s; + T98 = T8C - T8B; + T99 = T97 - T98; + T9L = T97 + T98; + { + E T9c, T9f, T9A, T9B; + T9c = FMA(KP471396736, T9a, KP881921264 * T9b); + T9f = FNMS(KP471396736, T9e, KP881921264 * T9d); + T9g = T9c - T9f; + T9V = T9f + T9c; + T9A = T7z - T7w; + T9B = T8z - T8y; + T9C = T9A - T9B; + T9W = T9B + T9A; + } + T9x = FNMS(KP471396736, T9b, KP881921264 * T9a); + T9y = FMA(KP881921264, T9e, KP471396736 * T9d); + T9z = T9x - T9y; + T9M = T9y + T9x; + { + E T9r, T9R, T9u, T9S, T9q, T9s; + T9q = T8q - T8p; + T9r = T9p - T9q; + T9R = T9p + T9q; + T9s = T8j - T8g; + T9u = T9s - T9t; + T9S = T9t + T9s; + T9v = FNMS(KP514102744, T9u, KP857728610 * T9r); + Ta1 = FMA(KP970031253, T9S, KP242980179 * T9R); + T9H = FMA(KP857728610, T9u, KP514102744 * T9r); + T9T = FNMS(KP242980179, T9S, KP970031253 * T9R); + } + { + E T9k, T9O, T9n, T9P, T9i, T9m; + T9i = T80 - T7X; + T9k = T9i - T9j; + T9O = T9j + T9i; + T9m = T87 - T86; + T9n = T9l - T9m; + T9P = T9l + T9m; + T9o = FMA(KP514102744, T9k, KP857728610 * T9n); + Ta0 = FNMS(KP242980179, T9P, KP970031253 * T9O); + T9G = FNMS(KP514102744, T9n, KP857728610 * T9k); + T9Q = FMA(KP242980179, T9O, KP970031253 * T9P); + } + } + { + E T9h, T9w, T9F, T9I; + T9h = T99 + T9g; + T9w = T9o + T9v; + ro[WS(ros, 53)] = T9h - T9w; + ro[WS(ros, 11)] = T9h + T9w; + T9F = T9C + T9z; + T9I = T9G + T9H; + io[WS(ios, 11)] = T9F + T9I; + io[WS(ios, 53)] = T9I - T9F; + } + { + E T9D, T9E, T9J, T9K; + T9D = T9z - T9C; + T9E = T9v - T9o; + io[WS(ios, 21)] = T9D + T9E; + io[WS(ios, 43)] = T9E - T9D; + T9J = T99 - T9g; + T9K = T9H - T9G; + ro[WS(ros, 43)] = T9J - T9K; + ro[WS(ros, 21)] = T9J + T9K; + } + { + E T9N, T9U, T9Z, Ta2; + T9N = T9L + T9M; + T9U = T9Q + T9T; + ro[WS(ros, 59)] = T9N - T9U; + ro[WS(ros, 5)] = T9N + T9U; + T9Z = T9W + T9V; + Ta2 = Ta0 + Ta1; + io[WS(ios, 5)] = T9Z + Ta2; + io[WS(ios, 59)] = Ta2 - T9Z; + } + { + E T9X, T9Y, Ta3, Ta4; + T9X = T9V - T9W; + T9Y = T9T - T9Q; + io[WS(ios, 27)] = T9X + T9Y; + io[WS(ios, 37)] = T9Y - T9X; + Ta3 = T9L - T9M; + Ta4 = Ta1 - Ta0; + ro[WS(ros, 37)] = Ta3 - Ta4; + ro[WS(ros, 27)] = Ta3 + Ta4; + } + } + { + E T2z, T69, T3g, T6j, T60, T6k, T5P, T6a, T5L, T6p, T65, T6h, T4w, T6o, T64; + E T6e; + { + E T2f, T2y, T5N, T5O; + T2f = T27 + T2e; + T2y = T2o + T2x; + T2z = T2f + T2y; + T69 = T2f - T2y; + { + E T2U, T3f, T5W, T5Z; + T2U = FMA(KP098017140, T2M, KP995184726 * T2T); + T3f = FNMS(KP098017140, T3e, KP995184726 * T37); + T3g = T2U + T3f; + T6j = T3f - T2U; + T5W = T5S + T5V; + T5Z = T5X + T5Y; + T60 = T5W + T5Z; + T6k = T5Z - T5W; + } + T5N = FNMS(KP098017140, T2T, KP995184726 * T2M); + T5O = FMA(KP995184726, T3e, KP098017140 * T37); + T5P = T5N + T5O; + T6a = T5O - T5N; + { + E T5x, T6f, T5K, T6g, T5w, T5J; + T5w = T5e + T5v; + T5x = T4X + T5w; + T6f = T4X - T5w; + T5J = T5H + T5I; + T5K = T5G + T5J; + T6g = T5J - T5G; + T5L = FNMS(KP049067674, T5K, KP998795456 * T5x); + T6p = FMA(KP671558954, T6f, KP740951125 * T6g); + T65 = FMA(KP049067674, T5x, KP998795456 * T5K); + T6h = FNMS(KP671558954, T6g, KP740951125 * T6f); + } + { + E T4i, T6c, T4v, T6d, T4h, T4u; + T4h = T3Z + T4g; + T4i = T3I + T4h; + T6c = T3I - T4h; + T4u = T4s + T4t; + T4v = T4r + T4u; + T6d = T4u - T4r; + T4w = FMA(KP998795456, T4i, KP049067674 * T4v); + T6o = FNMS(KP671558954, T6c, KP740951125 * T6d); + T64 = FNMS(KP049067674, T4i, KP998795456 * T4v); + T6e = FMA(KP740951125, T6c, KP671558954 * T6d); + } + } + { + E T3h, T5M, T63, T66; + T3h = T2z + T3g; + T5M = T4w + T5L; + ro[WS(ros, 63)] = T3h - T5M; + ro[WS(ros, 1)] = T3h + T5M; + T63 = T60 + T5P; + T66 = T64 + T65; + io[WS(ios, 1)] = T63 + T66; + io[WS(ios, 63)] = T66 - T63; + } + { + E T61, T62, T67, T68; + T61 = T5P - T60; + T62 = T5L - T4w; + io[WS(ios, 31)] = T61 + T62; + io[WS(ios, 33)] = T62 - T61; + T67 = T2z - T3g; + T68 = T65 - T64; + ro[WS(ros, 33)] = T67 - T68; + ro[WS(ros, 31)] = T67 + T68; + } + { + E T6b, T6i, T6n, T6q; + T6b = T69 + T6a; + T6i = T6e + T6h; + ro[WS(ros, 49)] = T6b - T6i; + ro[WS(ros, 15)] = T6b + T6i; + T6n = T6k + T6j; + T6q = T6o + T6p; + io[WS(ios, 15)] = T6n + T6q; + io[WS(ios, 49)] = T6q - T6n; + } + { + E T6l, T6m, T6r, T6s; + T6l = T6j - T6k; + T6m = T6h - T6e; + io[WS(ios, 17)] = T6l + T6m; + io[WS(ios, 47)] = T6m - T6l; + T6r = T69 - T6a; + T6s = T6p - T6o; + ro[WS(ros, 47)] = T6r - T6s; + ro[WS(ros, 17)] = T6r + T6s; + } + } + { + E T7B, T8N, T7Q, T8X, T8E, T8Y, T8x, T8O, T8t, T93, T8J, T8V, T8a, T92, T8I; + E T8S; + { + E T7t, T7A, T8v, T8w; + T7t = T7r + T7s; + T7A = T7w + T7z; + T7B = T7t + T7A; + T8N = T7t - T7A; + { + E T7I, T7P, T8A, T8D; + T7I = FMA(KP956940335, T7E, KP290284677 * T7H); + T7P = FNMS(KP290284677, T7O, KP956940335 * T7L); + T7Q = T7I + T7P; + T8X = T7P - T7I; + T8A = T8y + T8z; + T8D = T8B + T8C; + T8E = T8A + T8D; + T8Y = T8D - T8A; + } + T8v = FNMS(KP290284677, T7E, KP956940335 * T7H); + T8w = FMA(KP290284677, T7L, KP956940335 * T7O); + T8x = T8v + T8w; + T8O = T8w - T8v; + { + E T8l, T8T, T8s, T8U, T8k, T8r; + T8k = T8g + T8j; + T8l = T8d + T8k; + T8T = T8d - T8k; + T8r = T8p + T8q; + T8s = T8o + T8r; + T8U = T8r - T8o; + T8t = FNMS(KP146730474, T8s, KP989176509 * T8l); + T93 = FMA(KP595699304, T8T, KP803207531 * T8U); + T8J = FMA(KP146730474, T8l, KP989176509 * T8s); + T8V = FNMS(KP595699304, T8U, KP803207531 * T8T); + } + { + E T82, T8Q, T89, T8R, T81, T88; + T81 = T7X + T80; + T82 = T7U + T81; + T8Q = T7U - T81; + T88 = T86 + T87; + T89 = T85 + T88; + T8R = T88 - T85; + T8a = FMA(KP989176509, T82, KP146730474 * T89); + T92 = FNMS(KP595699304, T8Q, KP803207531 * T8R); + T8I = FNMS(KP146730474, T82, KP989176509 * T89); + T8S = FMA(KP803207531, T8Q, KP595699304 * T8R); + } + } + { + E T7R, T8u, T8H, T8K; + T7R = T7B + T7Q; + T8u = T8a + T8t; + ro[WS(ros, 61)] = T7R - T8u; + ro[WS(ros, 3)] = T7R + T8u; + T8H = T8E + T8x; + T8K = T8I + T8J; + io[WS(ios, 3)] = T8H + T8K; + io[WS(ios, 61)] = T8K - T8H; + } + { + E T8F, T8G, T8L, T8M; + T8F = T8x - T8E; + T8G = T8t - T8a; + io[WS(ios, 29)] = T8F + T8G; + io[WS(ios, 35)] = T8G - T8F; + T8L = T7B - T7Q; + T8M = T8J - T8I; + ro[WS(ros, 35)] = T8L - T8M; + ro[WS(ros, 29)] = T8L + T8M; + } + { + E T8P, T8W, T91, T94; + T8P = T8N + T8O; + T8W = T8S + T8V; + ro[WS(ros, 51)] = T8P - T8W; + ro[WS(ros, 13)] = T8P + T8W; + T91 = T8Y + T8X; + T94 = T92 + T93; + io[WS(ios, 13)] = T91 + T94; + io[WS(ios, 51)] = T94 - T91; + } + { + E T8Z, T90, T95, T96; + T8Z = T8X - T8Y; + T90 = T8V - T8S; + io[WS(ios, 19)] = T8Z + T90; + io[WS(ios, 45)] = T90 - T8Z; + T95 = T8N - T8O; + T96 = T93 - T92; + ro[WS(ros, 45)] = T95 - T96; + ro[WS(ros, 19)] = T95 + T96; + } + } + } +} + +static void mr2hc_128(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mr2hc_128_0(I, ro, io, is, ros, ios); + I += ivs; + ro += ovs; + io += ovs; + } +} + +static const kr2hc_desc desc = { 128, "mr2hc_128", {812, 186, 144, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mr2hc_128) (planner *p) { + X(kr2hc_register) (p, mr2hc_128, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/mr2hc_32.c b/src/fftw3/rdft/codelets/r2hc/mr2hc_32.c new file mode 100644 index 0000000..4f351a4 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/mr2hc_32.c @@ -0,0 +1,330 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:45 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc_noinline -compact -variables 4 -n 32 -name mr2hc_32 -include r2hc.h */ + +/* + * This function contains 156 FP additions, 42 FP multiplications, + * (or, 140 additions, 26 multiplications, 16 fused multiply/add), + * 53 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: mr2hc_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hc_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hc_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void mr2hc_32_0(const R *I, R *ro, R *io, stride is, stride ros, stride ios) +{ + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T7, T2b, Tv, T1l, Te, T2o, Ty, T1k, Tt, T2d, TF, T1h, Tm, T2c, TC; + E T1i, T1Z, T22, T2k, T2j, T1e, T1C, T19, T1B, T1S, T1V, T2h, T2g, TX, T1z; + E TS, T1y; + { + E T1, T2, T3, T4, T5, T6; + T1 = I[0]; + T2 = I[WS(is, 16)]; + T3 = T1 + T2; + T4 = I[WS(is, 8)]; + T5 = I[WS(is, 24)]; + T6 = T4 + T5; + T7 = T3 + T6; + T2b = T3 - T6; + Tv = T1 - T2; + T1l = T4 - T5; + } + { + E Ta, Tw, Td, Tx; + { + E T8, T9, Tb, Tc; + T8 = I[WS(is, 4)]; + T9 = I[WS(is, 20)]; + Ta = T8 + T9; + Tw = T8 - T9; + Tb = I[WS(is, 28)]; + Tc = I[WS(is, 12)]; + Td = Tb + Tc; + Tx = Tb - Tc; + } + Te = Ta + Td; + T2o = Td - Ta; + Ty = KP707106781 * (Tw + Tx); + T1k = KP707106781 * (Tx - Tw); + } + { + E Tp, TD, Ts, TE; + { + E Tn, To, Tq, Tr; + Tn = I[WS(is, 30)]; + To = I[WS(is, 14)]; + Tp = Tn + To; + TD = Tn - To; + Tq = I[WS(is, 6)]; + Tr = I[WS(is, 22)]; + Ts = Tq + Tr; + TE = Tq - Tr; + } + Tt = Tp + Ts; + T2d = Tp - Ts; + TF = FMA(KP923879532, TD, KP382683432 * TE); + T1h = FNMS(KP923879532, TE, KP382683432 * TD); + } + { + E Ti, TA, Tl, TB; + { + E Tg, Th, Tj, Tk; + Tg = I[WS(is, 2)]; + Th = I[WS(is, 18)]; + Ti = Tg + Th; + TA = Tg - Th; + Tj = I[WS(is, 10)]; + Tk = I[WS(is, 26)]; + Tl = Tj + Tk; + TB = Tj - Tk; + } + Tm = Ti + Tl; + T2c = Ti - Tl; + TC = FNMS(KP382683432, TB, KP923879532 * TA); + T1i = FMA(KP382683432, TA, KP923879532 * TB); + } + { + E T11, T1X, T1d, T1Y, T14, T20, T17, T21, T1a, T18; + { + E TZ, T10, T1b, T1c; + TZ = I[WS(is, 31)]; + T10 = I[WS(is, 15)]; + T11 = TZ - T10; + T1X = TZ + T10; + T1b = I[WS(is, 7)]; + T1c = I[WS(is, 23)]; + T1d = T1b - T1c; + T1Y = T1b + T1c; + } + { + E T12, T13, T15, T16; + T12 = I[WS(is, 3)]; + T13 = I[WS(is, 19)]; + T14 = T12 - T13; + T20 = T12 + T13; + T15 = I[WS(is, 27)]; + T16 = I[WS(is, 11)]; + T17 = T15 - T16; + T21 = T15 + T16; + } + T1Z = T1X + T1Y; + T22 = T20 + T21; + T2k = T21 - T20; + T2j = T1X - T1Y; + T1a = KP707106781 * (T17 - T14); + T1e = T1a - T1d; + T1C = T1d + T1a; + T18 = KP707106781 * (T14 + T17); + T19 = T11 + T18; + T1B = T11 - T18; + } + { + E TK, T1Q, TW, T1R, TN, T1T, TQ, T1U, TT, TR; + { + E TI, TJ, TU, TV; + TI = I[WS(is, 1)]; + TJ = I[WS(is, 17)]; + TK = TI - TJ; + T1Q = TI + TJ; + TU = I[WS(is, 9)]; + TV = I[WS(is, 25)]; + TW = TU - TV; + T1R = TU + TV; + } + { + E TL, TM, TO, TP; + TL = I[WS(is, 5)]; + TM = I[WS(is, 21)]; + TN = TL - TM; + T1T = TL + TM; + TO = I[WS(is, 29)]; + TP = I[WS(is, 13)]; + TQ = TO - TP; + T1U = TO + TP; + } + T1S = T1Q + T1R; + T1V = T1T + T1U; + T2h = T1U - T1T; + T2g = T1Q - T1R; + TT = KP707106781 * (TQ - TN); + TX = TT - TW; + T1z = TW + TT; + TR = KP707106781 * (TN + TQ); + TS = TK + TR; + T1y = TK - TR; + } + { + E Tf, Tu, T27, T28, T29, T2a; + Tf = T7 + Te; + Tu = Tm + Tt; + T27 = Tf + Tu; + T28 = T1S + T1V; + T29 = T1Z + T22; + T2a = T28 + T29; + ro[WS(ros, 8)] = Tf - Tu; + io[WS(ios, 8)] = T29 - T28; + ro[WS(ros, 16)] = T27 - T2a; + ro[0] = T27 + T2a; + } + { + E T1P, T25, T24, T26, T1W, T23; + T1P = T7 - Te; + T25 = Tt - Tm; + T1W = T1S - T1V; + T23 = T1Z - T22; + T24 = KP707106781 * (T1W + T23); + T26 = KP707106781 * (T23 - T1W); + ro[WS(ros, 12)] = T1P - T24; + io[WS(ios, 12)] = T26 - T25; + ro[WS(ros, 4)] = T1P + T24; + io[WS(ios, 4)] = T25 + T26; + } + { + E T2f, T2v, T2p, T2r, T2m, T2q, T2u, T2w, T2e, T2n; + T2e = KP707106781 * (T2c + T2d); + T2f = T2b + T2e; + T2v = T2b - T2e; + T2n = KP707106781 * (T2d - T2c); + T2p = T2n - T2o; + T2r = T2o + T2n; + { + E T2i, T2l, T2s, T2t; + T2i = FMA(KP923879532, T2g, KP382683432 * T2h); + T2l = FNMS(KP382683432, T2k, KP923879532 * T2j); + T2m = T2i + T2l; + T2q = T2l - T2i; + T2s = FNMS(KP382683432, T2g, KP923879532 * T2h); + T2t = FMA(KP382683432, T2j, KP923879532 * T2k); + T2u = T2s + T2t; + T2w = T2t - T2s; + } + ro[WS(ros, 14)] = T2f - T2m; + io[WS(ios, 14)] = T2u - T2r; + ro[WS(ros, 2)] = T2f + T2m; + io[WS(ios, 2)] = T2r + T2u; + io[WS(ios, 6)] = T2p + T2q; + ro[WS(ros, 6)] = T2v + T2w; + io[WS(ios, 10)] = T2q - T2p; + ro[WS(ros, 10)] = T2v - T2w; + } + { + E TH, T1t, T1s, T1u, T1g, T1o, T1n, T1p; + { + E Tz, TG, T1q, T1r; + Tz = Tv + Ty; + TG = TC + TF; + TH = Tz + TG; + T1t = Tz - TG; + T1q = FNMS(KP195090322, TS, KP980785280 * TX); + T1r = FMA(KP195090322, T19, KP980785280 * T1e); + T1s = T1q + T1r; + T1u = T1r - T1q; + } + { + E TY, T1f, T1j, T1m; + TY = FMA(KP980785280, TS, KP195090322 * TX); + T1f = FNMS(KP195090322, T1e, KP980785280 * T19); + T1g = TY + T1f; + T1o = T1f - TY; + T1j = T1h - T1i; + T1m = T1k - T1l; + T1n = T1j - T1m; + T1p = T1m + T1j; + } + ro[WS(ros, 15)] = TH - T1g; + io[WS(ios, 15)] = T1s - T1p; + ro[WS(ros, 1)] = TH + T1g; + io[WS(ios, 1)] = T1p + T1s; + io[WS(ios, 7)] = T1n + T1o; + ro[WS(ros, 7)] = T1t + T1u; + io[WS(ios, 9)] = T1o - T1n; + ro[WS(ros, 9)] = T1t - T1u; + } + { + E T1x, T1N, T1M, T1O, T1E, T1I, T1H, T1J; + { + E T1v, T1w, T1K, T1L; + T1v = Tv - Ty; + T1w = T1i + T1h; + T1x = T1v + T1w; + T1N = T1v - T1w; + T1K = FNMS(KP555570233, T1y, KP831469612 * T1z); + T1L = FMA(KP555570233, T1B, KP831469612 * T1C); + T1M = T1K + T1L; + T1O = T1L - T1K; + } + { + E T1A, T1D, T1F, T1G; + T1A = FMA(KP831469612, T1y, KP555570233 * T1z); + T1D = FNMS(KP555570233, T1C, KP831469612 * T1B); + T1E = T1A + T1D; + T1I = T1D - T1A; + T1F = TF - TC; + T1G = T1l + T1k; + T1H = T1F - T1G; + T1J = T1G + T1F; + } + ro[WS(ros, 13)] = T1x - T1E; + io[WS(ios, 13)] = T1M - T1J; + ro[WS(ros, 3)] = T1x + T1E; + io[WS(ios, 3)] = T1J + T1M; + io[WS(ios, 5)] = T1H + T1I; + ro[WS(ros, 5)] = T1N + T1O; + io[WS(ios, 11)] = T1I - T1H; + ro[WS(ros, 11)] = T1N - T1O; + } + } +} + +static void mr2hc_32(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mr2hc_32_0(I, ro, io, is, ros, ios); + I += ivs; + ro += ovs; + io += ovs; + } +} + +static const kr2hc_desc desc = { 32, "mr2hc_32", {140, 26, 16, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mr2hc_32) (planner *p) { + X(kr2hc_register) (p, mr2hc_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/mr2hc_64.c b/src/fftw3/rdft/codelets/r2hc/mr2hc_64.c new file mode 100644 index 0000000..c859fbf --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/mr2hc_64.c @@ -0,0 +1,729 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:49 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc_noinline -compact -variables 4 -n 64 -name mr2hc_64 -include r2hc.h */ + +/* + * This function contains 394 FP additions, 124 FP multiplications, + * (or, 342 additions, 72 multiplications, 52 fused multiply/add), + * 105 stack variables, and 128 memory accesses + */ +/* + * Generator Id's : + * $Id: mr2hc_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hc_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: mr2hc_64.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void mr2hc_64_0(const R *I, R *ro, R *io, stride is, stride ros, stride ios) +{ + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T4l, T5a, T15, T3n, T2T, T3Q, T7, Te, Tf, T4A, T4L, T1X, T3B, T23, T3y; + E T5I, T66, T4R, T52, T2j, T3F, T2H, T3I, T5P, T69, T1i, T3t, T1l, T3u, TZ; + E T63, T4v, T58, T1r, T3r, T1u, T3q, TK, T62, T4s, T57, Tm, Tt, Tu, T4o; + E T5b, T1c, T3R, T2Q, T3o, T1M, T3z, T5L, T67, T26, T3C, T4H, T4M, T2y, T3J; + E T5S, T6a, T2C, T3G, T4Y, T53; + { + E T3, T11, Td, T13, T6, T2S, Ta, T12, T14, T2R; + { + E T1, T2, Tb, Tc; + T1 = I[0]; + T2 = I[WS(is, 32)]; + T3 = T1 + T2; + T11 = T1 - T2; + Tb = I[WS(is, 56)]; + Tc = I[WS(is, 24)]; + Td = Tb + Tc; + T13 = Tb - Tc; + } + { + E T4, T5, T8, T9; + T4 = I[WS(is, 16)]; + T5 = I[WS(is, 48)]; + T6 = T4 + T5; + T2S = T4 - T5; + T8 = I[WS(is, 8)]; + T9 = I[WS(is, 40)]; + Ta = T8 + T9; + T12 = T8 - T9; + } + T4l = T3 - T6; + T5a = Td - Ta; + T14 = KP707106781 * (T12 + T13); + T15 = T11 + T14; + T3n = T11 - T14; + T2R = KP707106781 * (T13 - T12); + T2T = T2R - T2S; + T3Q = T2S + T2R; + T7 = T3 + T6; + Te = Ta + Td; + Tf = T7 + Te; + } + { + E T1P, T4J, T21, T4y, T1S, T4K, T1W, T4z; + { + E T1N, T1O, T1Z, T20; + T1N = I[WS(is, 57)]; + T1O = I[WS(is, 25)]; + T1P = T1N - T1O; + T4J = T1N + T1O; + T1Z = I[WS(is, 1)]; + T20 = I[WS(is, 33)]; + T21 = T1Z - T20; + T4y = T1Z + T20; + } + { + E T1Q, T1R, T1U, T1V; + T1Q = I[WS(is, 9)]; + T1R = I[WS(is, 41)]; + T1S = T1Q - T1R; + T4K = T1Q + T1R; + T1U = I[WS(is, 17)]; + T1V = I[WS(is, 49)]; + T1W = T1U - T1V; + T4z = T1U + T1V; + } + T4A = T4y - T4z; + T4L = T4J - T4K; + { + E T1T, T22, T5G, T5H; + T1T = KP707106781 * (T1P - T1S); + T1X = T1T - T1W; + T3B = T1W + T1T; + T22 = KP707106781 * (T1S + T1P); + T23 = T21 + T22; + T3y = T21 - T22; + T5G = T4y + T4z; + T5H = T4K + T4J; + T5I = T5G + T5H; + T66 = T5G - T5H; + } + } + { + E T2b, T4P, T2G, T4Q, T2e, T51, T2h, T50; + { + E T29, T2a, T2E, T2F; + T29 = I[WS(is, 63)]; + T2a = I[WS(is, 31)]; + T2b = T29 - T2a; + T4P = T29 + T2a; + T2E = I[WS(is, 15)]; + T2F = I[WS(is, 47)]; + T2G = T2E - T2F; + T4Q = T2E + T2F; + } + { + E T2c, T2d, T2f, T2g; + T2c = I[WS(is, 7)]; + T2d = I[WS(is, 39)]; + T2e = T2c - T2d; + T51 = T2c + T2d; + T2f = I[WS(is, 55)]; + T2g = I[WS(is, 23)]; + T2h = T2f - T2g; + T50 = T2f + T2g; + } + T4R = T4P - T4Q; + T52 = T50 - T51; + { + E T2i, T2D, T5N, T5O; + T2i = KP707106781 * (T2e + T2h); + T2j = T2b + T2i; + T3F = T2b - T2i; + T2D = KP707106781 * (T2h - T2e); + T2H = T2D - T2G; + T3I = T2G + T2D; + T5N = T4P + T4Q; + T5O = T51 + T50; + T5P = T5N + T5O; + T69 = T5N - T5O; + } + } + { + E TN, T1e, TX, T1g, TQ, T1k, TU, T1f, T1h, T1j; + { + E TL, TM, TV, TW; + TL = I[WS(is, 62)]; + TM = I[WS(is, 30)]; + TN = TL + TM; + T1e = TL - TM; + TV = I[WS(is, 54)]; + TW = I[WS(is, 22)]; + TX = TV + TW; + T1g = TV - TW; + } + { + E TO, TP, TS, TT; + TO = I[WS(is, 14)]; + TP = I[WS(is, 46)]; + TQ = TO + TP; + T1k = TO - TP; + TS = I[WS(is, 6)]; + TT = I[WS(is, 38)]; + TU = TS + TT; + T1f = TS - TT; + } + T1h = KP707106781 * (T1f + T1g); + T1i = T1e + T1h; + T3t = T1e - T1h; + T1j = KP707106781 * (T1g - T1f); + T1l = T1j - T1k; + T3u = T1k + T1j; + { + E TR, TY, T4t, T4u; + TR = TN + TQ; + TY = TU + TX; + TZ = TR + TY; + T63 = TR - TY; + T4t = TN - TQ; + T4u = TX - TU; + T4v = FNMS(KP382683432, T4u, KP923879532 * T4t); + T58 = FMA(KP382683432, T4t, KP923879532 * T4u); + } + } + { + E Ty, T1s, TI, T1n, TB, T1q, TF, T1o, T1p, T1t; + { + E Tw, Tx, TG, TH; + Tw = I[WS(is, 2)]; + Tx = I[WS(is, 34)]; + Ty = Tw + Tx; + T1s = Tw - Tx; + TG = I[WS(is, 58)]; + TH = I[WS(is, 26)]; + TI = TG + TH; + T1n = TG - TH; + } + { + E Tz, TA, TD, TE; + Tz = I[WS(is, 18)]; + TA = I[WS(is, 50)]; + TB = Tz + TA; + T1q = Tz - TA; + TD = I[WS(is, 10)]; + TE = I[WS(is, 42)]; + TF = TD + TE; + T1o = TD - TE; + } + T1p = KP707106781 * (T1n - T1o); + T1r = T1p - T1q; + T3r = T1q + T1p; + T1t = KP707106781 * (T1o + T1n); + T1u = T1s + T1t; + T3q = T1s - T1t; + { + E TC, TJ, T4q, T4r; + TC = Ty + TB; + TJ = TF + TI; + TK = TC + TJ; + T62 = TC - TJ; + T4q = Ty - TB; + T4r = TI - TF; + T4s = FMA(KP923879532, T4q, KP382683432 * T4r); + T57 = FNMS(KP382683432, T4q, KP923879532 * T4r); + } + } + { + E Ti, T16, Ts, T1a, Tl, T17, Tp, T19, T4m, T4n; + { + E Tg, Th, Tq, Tr; + Tg = I[WS(is, 4)]; + Th = I[WS(is, 36)]; + Ti = Tg + Th; + T16 = Tg - Th; + Tq = I[WS(is, 12)]; + Tr = I[WS(is, 44)]; + Ts = Tq + Tr; + T1a = Tq - Tr; + } + { + E Tj, Tk, Tn, To; + Tj = I[WS(is, 20)]; + Tk = I[WS(is, 52)]; + Tl = Tj + Tk; + T17 = Tj - Tk; + Tn = I[WS(is, 60)]; + To = I[WS(is, 28)]; + Tp = Tn + To; + T19 = Tn - To; + } + Tm = Ti + Tl; + Tt = Tp + Ts; + Tu = Tm + Tt; + T4m = Ti - Tl; + T4n = Tp - Ts; + T4o = KP707106781 * (T4m + T4n); + T5b = KP707106781 * (T4n - T4m); + { + E T18, T1b, T2O, T2P; + T18 = FNMS(KP382683432, T17, KP923879532 * T16); + T1b = FMA(KP923879532, T19, KP382683432 * T1a); + T1c = T18 + T1b; + T3R = T1b - T18; + T2O = FNMS(KP923879532, T1a, KP382683432 * T19); + T2P = FMA(KP382683432, T16, KP923879532 * T17); + T2Q = T2O - T2P; + T3o = T2P + T2O; + } + } + { + E T1A, T4E, T1K, T4C, T1D, T4F, T1H, T4B; + { + E T1y, T1z, T1I, T1J; + T1y = I[WS(is, 61)]; + T1z = I[WS(is, 29)]; + T1A = T1y - T1z; + T4E = T1y + T1z; + T1I = I[WS(is, 21)]; + T1J = I[WS(is, 53)]; + T1K = T1I - T1J; + T4C = T1I + T1J; + } + { + E T1B, T1C, T1F, T1G; + T1B = I[WS(is, 13)]; + T1C = I[WS(is, 45)]; + T1D = T1B - T1C; + T4F = T1B + T1C; + T1F = I[WS(is, 5)]; + T1G = I[WS(is, 37)]; + T1H = T1F - T1G; + T4B = T1F + T1G; + } + { + E T1E, T1L, T5J, T5K; + T1E = FNMS(KP923879532, T1D, KP382683432 * T1A); + T1L = FMA(KP382683432, T1H, KP923879532 * T1K); + T1M = T1E - T1L; + T3z = T1L + T1E; + T5J = T4B + T4C; + T5K = T4E + T4F; + T5L = T5J + T5K; + T67 = T5K - T5J; + } + { + E T24, T25, T4D, T4G; + T24 = FNMS(KP382683432, T1K, KP923879532 * T1H); + T25 = FMA(KP923879532, T1A, KP382683432 * T1D); + T26 = T24 + T25; + T3C = T25 - T24; + T4D = T4B - T4C; + T4G = T4E - T4F; + T4H = KP707106781 * (T4D + T4G); + T4M = KP707106781 * (T4G - T4D); + } + } + { + E T2m, T4S, T2w, T4W, T2p, T4T, T2t, T4V; + { + E T2k, T2l, T2u, T2v; + T2k = I[WS(is, 3)]; + T2l = I[WS(is, 35)]; + T2m = T2k - T2l; + T4S = T2k + T2l; + T2u = I[WS(is, 11)]; + T2v = I[WS(is, 43)]; + T2w = T2u - T2v; + T4W = T2u + T2v; + } + { + E T2n, T2o, T2r, T2s; + T2n = I[WS(is, 19)]; + T2o = I[WS(is, 51)]; + T2p = T2n - T2o; + T4T = T2n + T2o; + T2r = I[WS(is, 59)]; + T2s = I[WS(is, 27)]; + T2t = T2r - T2s; + T4V = T2r + T2s; + } + { + E T2q, T2x, T5Q, T5R; + T2q = FNMS(KP382683432, T2p, KP923879532 * T2m); + T2x = FMA(KP923879532, T2t, KP382683432 * T2w); + T2y = T2q + T2x; + T3J = T2x - T2q; + T5Q = T4S + T4T; + T5R = T4V + T4W; + T5S = T5Q + T5R; + T6a = T5R - T5Q; + } + { + E T2A, T2B, T4U, T4X; + T2A = FNMS(KP923879532, T2w, KP382683432 * T2t); + T2B = FMA(KP382683432, T2m, KP923879532 * T2p); + T2C = T2A - T2B; + T3G = T2B + T2A; + T4U = T4S - T4T; + T4X = T4V - T4W; + T4Y = KP707106781 * (T4U + T4X); + T53 = KP707106781 * (T4X - T4U); + } + } + { + E Tv, T10, T5X, T5Y, T5Z, T60; + Tv = Tf + Tu; + T10 = TK + TZ; + T5X = Tv + T10; + T5Y = T5I + T5L; + T5Z = T5P + T5S; + T60 = T5Y + T5Z; + ro[WS(ros, 16)] = Tv - T10; + io[WS(ios, 16)] = T5Z - T5Y; + ro[WS(ros, 32)] = T5X - T60; + ro[0] = T5X + T60; + } + { + E T5F, T5V, T5U, T5W, T5M, T5T; + T5F = Tf - Tu; + T5V = TZ - TK; + T5M = T5I - T5L; + T5T = T5P - T5S; + T5U = KP707106781 * (T5M + T5T); + T5W = KP707106781 * (T5T - T5M); + ro[WS(ros, 24)] = T5F - T5U; + io[WS(ios, 24)] = T5W - T5V; + ro[WS(ros, 8)] = T5F + T5U; + io[WS(ios, 8)] = T5V + T5W; + } + { + E T65, T6l, T6k, T6m, T6c, T6g, T6f, T6h; + { + E T61, T64, T6i, T6j; + T61 = T7 - Te; + T64 = KP707106781 * (T62 + T63); + T65 = T61 + T64; + T6l = T61 - T64; + T6i = FNMS(KP382683432, T66, KP923879532 * T67); + T6j = FMA(KP382683432, T69, KP923879532 * T6a); + T6k = T6i + T6j; + T6m = T6j - T6i; + } + { + E T68, T6b, T6d, T6e; + T68 = FMA(KP923879532, T66, KP382683432 * T67); + T6b = FNMS(KP382683432, T6a, KP923879532 * T69); + T6c = T68 + T6b; + T6g = T6b - T68; + T6d = KP707106781 * (T63 - T62); + T6e = Tt - Tm; + T6f = T6d - T6e; + T6h = T6e + T6d; + } + ro[WS(ros, 28)] = T65 - T6c; + io[WS(ios, 28)] = T6k - T6h; + ro[WS(ros, 4)] = T65 + T6c; + io[WS(ios, 4)] = T6h + T6k; + io[WS(ios, 12)] = T6f + T6g; + ro[WS(ros, 12)] = T6l + T6m; + io[WS(ios, 20)] = T6g - T6f; + ro[WS(ros, 20)] = T6l - T6m; + } + { + E T5n, T5D, T5x, T5z, T5q, T5A, T5t, T5B; + { + E T5l, T5m, T5v, T5w; + T5l = T4l - T4o; + T5m = T58 - T57; + T5n = T5l + T5m; + T5D = T5l - T5m; + T5v = T4v - T4s; + T5w = T5b - T5a; + T5x = T5v - T5w; + T5z = T5w + T5v; + } + { + E T5o, T5p, T5r, T5s; + T5o = T4A - T4H; + T5p = T4M - T4L; + T5q = FMA(KP831469612, T5o, KP555570233 * T5p); + T5A = FNMS(KP555570233, T5o, KP831469612 * T5p); + T5r = T4R - T4Y; + T5s = T53 - T52; + T5t = FNMS(KP555570233, T5s, KP831469612 * T5r); + T5B = FMA(KP555570233, T5r, KP831469612 * T5s); + } + { + E T5u, T5C, T5y, T5E; + T5u = T5q + T5t; + ro[WS(ros, 26)] = T5n - T5u; + ro[WS(ros, 6)] = T5n + T5u; + T5C = T5A + T5B; + io[WS(ios, 6)] = T5z + T5C; + io[WS(ios, 26)] = T5C - T5z; + T5y = T5t - T5q; + io[WS(ios, 10)] = T5x + T5y; + io[WS(ios, 22)] = T5y - T5x; + T5E = T5B - T5A; + ro[WS(ros, 22)] = T5D - T5E; + ro[WS(ros, 10)] = T5D + T5E; + } + } + { + E T4x, T5j, T5d, T5f, T4O, T5g, T55, T5h; + { + E T4p, T4w, T59, T5c; + T4p = T4l + T4o; + T4w = T4s + T4v; + T4x = T4p + T4w; + T5j = T4p - T4w; + T59 = T57 + T58; + T5c = T5a + T5b; + T5d = T59 - T5c; + T5f = T5c + T59; + } + { + E T4I, T4N, T4Z, T54; + T4I = T4A + T4H; + T4N = T4L + T4M; + T4O = FMA(KP980785280, T4I, KP195090322 * T4N); + T5g = FNMS(KP195090322, T4I, KP980785280 * T4N); + T4Z = T4R + T4Y; + T54 = T52 + T53; + T55 = FNMS(KP195090322, T54, KP980785280 * T4Z); + T5h = FMA(KP195090322, T4Z, KP980785280 * T54); + } + { + E T56, T5i, T5e, T5k; + T56 = T4O + T55; + ro[WS(ros, 30)] = T4x - T56; + ro[WS(ros, 2)] = T4x + T56; + T5i = T5g + T5h; + io[WS(ios, 2)] = T5f + T5i; + io[WS(ios, 30)] = T5i - T5f; + T5e = T55 - T4O; + io[WS(ios, 14)] = T5d + T5e; + io[WS(ios, 18)] = T5e - T5d; + T5k = T5h - T5g; + ro[WS(ros, 18)] = T5j - T5k; + ro[WS(ros, 14)] = T5j + T5k; + } + } + { + E T3p, T41, T4c, T3S, T3w, T4b, T49, T4h, T3P, T42, T3E, T3W, T46, T4g, T3L; + E T3X; + { + E T3s, T3v, T3A, T3D; + T3p = T3n + T3o; + T41 = T3n - T3o; + T4c = T3R - T3Q; + T3S = T3Q + T3R; + T3s = FMA(KP831469612, T3q, KP555570233 * T3r); + T3v = FNMS(KP555570233, T3u, KP831469612 * T3t); + T3w = T3s + T3v; + T4b = T3v - T3s; + { + E T47, T48, T3N, T3O; + T47 = T3F - T3G; + T48 = T3J - T3I; + T49 = FNMS(KP471396736, T48, KP881921264 * T47); + T4h = FMA(KP471396736, T47, KP881921264 * T48); + T3N = FNMS(KP555570233, T3q, KP831469612 * T3r); + T3O = FMA(KP555570233, T3t, KP831469612 * T3u); + T3P = T3N + T3O; + T42 = T3O - T3N; + } + T3A = T3y + T3z; + T3D = T3B + T3C; + T3E = FMA(KP956940335, T3A, KP290284677 * T3D); + T3W = FNMS(KP290284677, T3A, KP956940335 * T3D); + { + E T44, T45, T3H, T3K; + T44 = T3y - T3z; + T45 = T3C - T3B; + T46 = FMA(KP881921264, T44, KP471396736 * T45); + T4g = FNMS(KP471396736, T44, KP881921264 * T45); + T3H = T3F + T3G; + T3K = T3I + T3J; + T3L = FNMS(KP290284677, T3K, KP956940335 * T3H); + T3X = FMA(KP290284677, T3H, KP956940335 * T3K); + } + } + { + E T3x, T3M, T3V, T3Y; + T3x = T3p + T3w; + T3M = T3E + T3L; + ro[WS(ros, 29)] = T3x - T3M; + ro[WS(ros, 3)] = T3x + T3M; + T3V = T3S + T3P; + T3Y = T3W + T3X; + io[WS(ios, 3)] = T3V + T3Y; + io[WS(ios, 29)] = T3Y - T3V; + } + { + E T3T, T3U, T3Z, T40; + T3T = T3P - T3S; + T3U = T3L - T3E; + io[WS(ios, 13)] = T3T + T3U; + io[WS(ios, 19)] = T3U - T3T; + T3Z = T3p - T3w; + T40 = T3X - T3W; + ro[WS(ros, 19)] = T3Z - T40; + ro[WS(ros, 13)] = T3Z + T40; + } + { + E T43, T4a, T4f, T4i; + T43 = T41 + T42; + T4a = T46 + T49; + ro[WS(ros, 27)] = T43 - T4a; + ro[WS(ros, 5)] = T43 + T4a; + T4f = T4c + T4b; + T4i = T4g + T4h; + io[WS(ios, 5)] = T4f + T4i; + io[WS(ios, 27)] = T4i - T4f; + } + { + E T4d, T4e, T4j, T4k; + T4d = T4b - T4c; + T4e = T49 - T46; + io[WS(ios, 11)] = T4d + T4e; + io[WS(ios, 21)] = T4e - T4d; + T4j = T41 - T42; + T4k = T4h - T4g; + ro[WS(ros, 21)] = T4j - T4k; + ro[WS(ros, 11)] = T4j + T4k; + } + } + { + E T1d, T33, T3e, T2U, T1w, T3d, T3b, T3j, T2N, T34, T28, T2Y, T38, T3i, T2J; + E T2Z; + { + E T1m, T1v, T1Y, T27; + T1d = T15 - T1c; + T33 = T15 + T1c; + T3e = T2T + T2Q; + T2U = T2Q - T2T; + T1m = FMA(KP195090322, T1i, KP980785280 * T1l); + T1v = FNMS(KP195090322, T1u, KP980785280 * T1r); + T1w = T1m - T1v; + T3d = T1v + T1m; + { + E T39, T3a, T2L, T2M; + T39 = T2j + T2y; + T3a = T2H + T2C; + T3b = FNMS(KP098017140, T3a, KP995184726 * T39); + T3j = FMA(KP995184726, T3a, KP098017140 * T39); + T2L = FNMS(KP195090322, T1l, KP980785280 * T1i); + T2M = FMA(KP980785280, T1u, KP195090322 * T1r); + T2N = T2L - T2M; + T34 = T2M + T2L; + } + T1Y = T1M - T1X; + T27 = T23 - T26; + T28 = FMA(KP634393284, T1Y, KP773010453 * T27); + T2Y = FNMS(KP634393284, T27, KP773010453 * T1Y); + { + E T36, T37, T2z, T2I; + T36 = T1X + T1M; + T37 = T23 + T26; + T38 = FMA(KP098017140, T36, KP995184726 * T37); + T3i = FNMS(KP098017140, T37, KP995184726 * T36); + T2z = T2j - T2y; + T2I = T2C - T2H; + T2J = FNMS(KP634393284, T2I, KP773010453 * T2z); + T2Z = FMA(KP773010453, T2I, KP634393284 * T2z); + } + } + { + E T1x, T2K, T2X, T30; + T1x = T1d + T1w; + T2K = T28 + T2J; + ro[WS(ros, 25)] = T1x - T2K; + ro[WS(ros, 7)] = T1x + T2K; + T2X = T2U + T2N; + T30 = T2Y + T2Z; + io[WS(ios, 7)] = T2X + T30; + io[WS(ios, 25)] = T30 - T2X; + } + { + E T2V, T2W, T31, T32; + T2V = T2N - T2U; + T2W = T2J - T28; + io[WS(ios, 9)] = T2V + T2W; + io[WS(ios, 23)] = T2W - T2V; + T31 = T1d - T1w; + T32 = T2Z - T2Y; + ro[WS(ros, 23)] = T31 - T32; + ro[WS(ros, 9)] = T31 + T32; + } + { + E T35, T3c, T3h, T3k; + T35 = T33 + T34; + T3c = T38 + T3b; + ro[WS(ros, 31)] = T35 - T3c; + ro[WS(ros, 1)] = T35 + T3c; + T3h = T3e + T3d; + T3k = T3i + T3j; + io[WS(ios, 1)] = T3h + T3k; + io[WS(ios, 31)] = T3k - T3h; + } + { + E T3f, T3g, T3l, T3m; + T3f = T3d - T3e; + T3g = T3b - T38; + io[WS(ios, 15)] = T3f + T3g; + io[WS(ios, 17)] = T3g - T3f; + T3l = T33 - T34; + T3m = T3j - T3i; + ro[WS(ros, 17)] = T3l - T3m; + ro[WS(ros, 15)] = T3l + T3m; + } + } + } +} + +static void mr2hc_64(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + mr2hc_64_0(I, ro, io, is, ros, ios); + I += ivs; + ro += ovs; + io += ovs; + } +} + +static const kr2hc_desc desc = { 64, "mr2hc_64", {342, 72, 52, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_mr2hc_64) (planner *p) { + X(kr2hc_register) (p, mr2hc_64, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_10.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_10.c new file mode 100644 index 0000000..d163e75 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_10.c @@ -0,0 +1,112 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:12 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 10 -name r2hcII_10 -dft-II -include r2hcII.h */ + +/* + * This function contains 32 FP additions, 12 FP multiplications, + * (or, 26 additions, 6 multiplications, 6 fused multiply/add), + * 21 stack variables, and 20 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_10(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, To, T8, Tq, T9, Tp, Te, Ts, Th, Tn; + T1 = I[0]; + To = I[WS(is, 5)]; + { + E T2, T3, T4, T5, T6, T7; + T2 = I[WS(is, 4)]; + T3 = I[WS(is, 6)]; + T4 = T2 - T3; + T5 = I[WS(is, 8)]; + T6 = I[WS(is, 2)]; + T7 = T5 - T6; + T8 = T4 + T7; + Tq = T5 + T6; + T9 = KP559016994 * (T4 - T7); + Tp = T2 + T3; + } + { + E Tc, Td, Tm, Tf, Tg, Tl; + Tc = I[WS(is, 1)]; + Td = I[WS(is, 9)]; + Tm = Tc + Td; + Tf = I[WS(is, 3)]; + Tg = I[WS(is, 7)]; + Tl = Tf + Tg; + Te = Tc - Td; + Ts = KP559016994 * (Tm + Tl); + Th = Tf - Tg; + Tn = Tl - Tm; + } + ro[WS(ros, 2)] = T1 + T8; + io[WS(ios, 2)] = Tn - To; + { + E Ti, Tk, Tb, Tj, Ta; + Ti = FMA(KP951056516, Te, KP587785252 * Th); + Tk = FNMS(KP587785252, Te, KP951056516 * Th); + Ta = FNMS(KP250000000, T8, T1); + Tb = T9 + Ta; + Tj = Ta - T9; + ro[WS(ros, 4)] = Tb - Ti; + ro[WS(ros, 3)] = Tj + Tk; + ro[0] = Tb + Ti; + ro[WS(ros, 1)] = Tj - Tk; + } + { + E Tr, Tw, Tu, Tv, Tt; + Tr = FMA(KP951056516, Tp, KP587785252 * Tq); + Tw = FNMS(KP587785252, Tp, KP951056516 * Tq); + Tt = FMA(KP250000000, Tn, To); + Tu = Ts + Tt; + Tv = Tt - Ts; + io[0] = -(Tr + Tu); + io[WS(ios, 3)] = Tw + Tv; + io[WS(ios, 4)] = Tr - Tu; + io[WS(ios, 1)] = Tv - Tw; + } + } +} + +static const kr2hc_desc desc = { 10, "r2hcII_10", {26, 6, 6, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_10) (planner *p) { + X(kr2hcII_register) (p, r2hcII_10, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_12.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_12.c new file mode 100644 index 0000000..9e01c7b --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_12.c @@ -0,0 +1,128 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:14 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 12 -name r2hcII_12 -dft-II -include r2hcII.h */ + +/* + * This function contains 43 FP additions, 12 FP multiplications, + * (or, 39 additions, 8 multiplications, 4 fused multiply/add), + * 28 stack variables, and 24 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_12(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP353553390, +0.353553390593273762200422181052424519642417969); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP612372435, +0.612372435695794524549321018676472847991486870); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E Tx, Tg, T4, Tz, Ty, Tj, TA, T9, Tm, Tl, Te, Tp, To, Tf, TE; + E TF; + { + E T1, T3, T2, Th, Ti; + T1 = I[0]; + T3 = I[WS(is, 4)]; + T2 = I[WS(is, 8)]; + Tx = KP866025403 * (T2 + T3); + Tg = FMA(KP500000000, T3 - T2, T1); + T4 = T1 + T2 - T3; + Tz = I[WS(is, 6)]; + Th = I[WS(is, 10)]; + Ti = I[WS(is, 2)]; + Ty = Th + Ti; + Tj = KP866025403 * (Th - Ti); + TA = FMA(KP500000000, Ty, Tz); + } + { + E T5, T6, T7, T8; + T5 = I[WS(is, 3)]; + T6 = I[WS(is, 11)]; + T7 = I[WS(is, 7)]; + T8 = T6 - T7; + T9 = T5 + T8; + Tm = KP612372435 * (T6 + T7); + Tl = FNMS(KP353553390, T8, KP707106781 * T5); + } + { + E Td, Ta, Tb, Tc; + Td = I[WS(is, 9)]; + Ta = I[WS(is, 5)]; + Tb = I[WS(is, 1)]; + Tc = Ta - Tb; + Te = Tc - Td; + Tp = FMA(KP353553390, Tc, KP707106781 * Td); + To = KP612372435 * (Ta + Tb); + } + Tf = KP707106781 * (T9 + Te); + ro[WS(ros, 1)] = T4 - Tf; + ro[WS(ros, 4)] = T4 + Tf; + TE = KP707106781 * (Te - T9); + TF = Tz - Ty; + io[WS(ios, 4)] = TE - TF; + io[WS(ios, 1)] = TE + TF; + { + E Tk, TB, Tr, Tw, Tn, Tq; + Tk = Tg - Tj; + TB = Tx - TA; + Tn = Tl - Tm; + Tq = To - Tp; + Tr = Tn + Tq; + Tw = Tn - Tq; + ro[WS(ros, 5)] = Tk - Tr; + io[WS(ios, 2)] = Tw + TB; + ro[0] = Tk + Tr; + io[WS(ios, 3)] = Tw - TB; + } + { + E Ts, TD, Tv, TC, Tt, Tu; + Ts = Tg + Tj; + TD = Tx + TA; + Tt = To + Tp; + Tu = Tm + Tl; + Tv = Tt - Tu; + TC = Tu + Tt; + ro[WS(ros, 3)] = Ts - Tv; + io[WS(ios, 5)] = TD - TC; + ro[WS(ros, 2)] = Ts + Tv; + io[0] = -(TC + TD); + } + } +} + +static const kr2hc_desc desc = { 12, "r2hcII_12", {39, 8, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_12) (planner *p) { + X(kr2hcII_register) (p, r2hcII_12, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_15.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_15.c new file mode 100644 index 0000000..72e014a --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_15.c @@ -0,0 +1,155 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:16 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 15 -name r2hcII_15 -dft-II -include r2hcII.h */ + +/* + * This function contains 72 FP additions, 33 FP multiplications, + * (or, 54 additions, 15 multiplications, 18 fused multiply/add), + * 37 stack variables, and 30 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_15(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP809016994, +0.809016994374947424102293417182819058860154590); + DK(KP309016994, +0.309016994374947424102293417182819058860154590); + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T2, Tx, TR, TE, T7, TD, Th, Tm, Tr, TQ, TA, TB, Tf, Te; + E Tu, TS, Td, TH, TO; + T1 = I[WS(is, 10)]; + { + E T3, Tv, T6, Tw, T4, T5; + T2 = I[WS(is, 4)]; + T3 = I[WS(is, 1)]; + Tv = T2 + T3; + T4 = I[WS(is, 7)]; + T5 = I[WS(is, 13)]; + T6 = T4 + T5; + Tw = T4 - T5; + Tx = FMA(KP951056516, Tv, KP587785252 * Tw); + TR = FNMS(KP587785252, Tv, KP951056516 * Tw); + TE = KP559016994 * (T3 - T6); + T7 = T3 + T6; + TD = KP250000000 * T7; + } + { + E Ti, Tl, Tj, Tk, Tp, Tq; + Th = I[0]; + Ti = I[WS(is, 9)]; + Tl = I[WS(is, 12)]; + Tj = I[WS(is, 3)]; + Tk = I[WS(is, 6)]; + Tp = Tk + Ti; + Tq = Tl + Tj; + Tm = Ti + Tj - (Tk + Tl); + Tr = FMA(KP951056516, Tp, KP587785252 * Tq); + TQ = FNMS(KP951056516, Tq, KP587785252 * Tp); + TA = FMA(KP250000000, Tm, Th); + TB = KP559016994 * (Tl + Ti - (Tk + Tj)); + } + { + E T9, Tt, Tc, Ts, Ta, Tb, TG; + Tf = I[WS(is, 5)]; + T9 = I[WS(is, 14)]; + Te = I[WS(is, 11)]; + Tt = T9 + Te; + Ta = I[WS(is, 2)]; + Tb = I[WS(is, 8)]; + Tc = Ta + Tb; + Ts = Ta - Tb; + Tu = FNMS(KP951056516, Tt, KP587785252 * Ts); + TS = FMA(KP951056516, Ts, KP587785252 * Tt); + Td = T9 + Tc; + TG = KP559016994 * (T9 - Tc); + TH = FNMS(KP309016994, Te, TG) + FNMA(KP250000000, Td, Tf); + TO = FMS(KP809016994, Te, Tf) + FNMA(KP250000000, Td, TG); + } + { + E Tn, T8, Tg, To; + Tn = Th - Tm; + T8 = T1 + T2 - T7; + Tg = Td - Te - Tf; + To = T8 + Tg; + io[WS(ios, 2)] = KP866025403 * (T8 - Tg); + ro[WS(ros, 2)] = FNMS(KP500000000, To, Tn); + ro[WS(ros, 7)] = Tn + To; + } + { + E TM, TX, TT, TV, TP, TU, TN, TW; + TM = TB + TA; + TX = KP866025403 * (TR + TS); + TT = TR - TS; + TV = FMS(KP500000000, TT, TQ); + TN = T1 + TE + FNMS(KP809016994, T2, TD); + TP = TN + TO; + TU = KP866025403 * (TO - TN); + ro[WS(ros, 1)] = TM + TP; + io[WS(ios, 1)] = TQ + TT; + io[WS(ios, 6)] = TU - TV; + io[WS(ios, 3)] = TU + TV; + TW = FNMS(KP500000000, TP, TM); + ro[WS(ros, 3)] = TW - TX; + ro[WS(ros, 6)] = TW + TX; + } + { + E Tz, TC, Ty, TK, TI, TL, TF, TJ; + Tz = KP866025403 * (Tx + Tu); + TC = TA - TB; + Ty = Tu - Tx; + TK = FMS(KP500000000, Ty, Tr); + TF = FMA(KP309016994, T2, T1) + TD - TE; + TI = TF + TH; + TL = KP866025403 * (TH - TF); + io[WS(ios, 4)] = Tr + Ty; + ro[WS(ros, 4)] = TC + TI; + io[WS(ios, 5)] = TK - TL; + io[0] = TK + TL; + TJ = FNMS(KP500000000, TI, TC); + ro[0] = Tz + TJ; + ro[WS(ros, 5)] = TJ - Tz; + } + } +} + +static const kr2hc_desc desc = { 15, "r2hcII_15", {54, 15, 18, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_15) (planner *p) { + X(kr2hcII_register) (p, r2hcII_15, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_16.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_16.c new file mode 100644 index 0000000..4535bde --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_16.c @@ -0,0 +1,171 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:21 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 16 -name r2hcII_16 -dft-II -include r2hcII.h */ + +/* + * This function contains 66 FP additions, 30 FP multiplications, + * (or, 54 additions, 18 multiplications, 12 fused multiply/add), + * 32 stack variables, and 32 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_16(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T5, T11, TB, TV, Tr, TK, Tu, TJ, Ti, TH, Tl, TG, Tc, T10, TE; + E TS; + { + E T1, TU, T4, TT, T2, T3; + T1 = I[0]; + TU = I[WS(is, 8)]; + T2 = I[WS(is, 4)]; + T3 = I[WS(is, 12)]; + T4 = KP707106781 * (T2 - T3); + TT = KP707106781 * (T2 + T3); + T5 = T1 + T4; + T11 = TU - TT; + TB = T1 - T4; + TV = TT + TU; + } + { + E Tq, Tt, Tp, Ts, Tn, To; + Tq = I[WS(is, 15)]; + Tt = I[WS(is, 7)]; + Tn = I[WS(is, 3)]; + To = I[WS(is, 11)]; + Tp = KP707106781 * (Tn - To); + Ts = KP707106781 * (Tn + To); + Tr = Tp - Tq; + TK = Tt - Ts; + Tu = Ts + Tt; + TJ = Tp + Tq; + } + { + E Te, Tk, Th, Tj, Tf, Tg; + Te = I[WS(is, 1)]; + Tk = I[WS(is, 9)]; + Tf = I[WS(is, 5)]; + Tg = I[WS(is, 13)]; + Th = KP707106781 * (Tf - Tg); + Tj = KP707106781 * (Tf + Tg); + Ti = Te + Th; + TH = Tk - Tj; + Tl = Tj + Tk; + TG = Te - Th; + } + { + E T8, TC, Tb, TD; + { + E T6, T7, T9, Ta; + T6 = I[WS(is, 2)]; + T7 = I[WS(is, 10)]; + T8 = FNMS(KP382683432, T7, KP923879532 * T6); + TC = FMA(KP382683432, T6, KP923879532 * T7); + T9 = I[WS(is, 6)]; + Ta = I[WS(is, 14)]; + Tb = FNMS(KP923879532, Ta, KP382683432 * T9); + TD = FMA(KP923879532, T9, KP382683432 * Ta); + } + Tc = T8 + Tb; + T10 = Tb - T8; + TE = TC - TD; + TS = TC + TD; + } + { + E Td, TW, Tw, TR, Tm, Tv; + Td = T5 - Tc; + TW = TS + TV; + Tm = FMA(KP195090322, Ti, KP980785280 * Tl); + Tv = FNMS(KP980785280, Tu, KP195090322 * Tr); + Tw = Tm + Tv; + TR = Tv - Tm; + ro[WS(ros, 4)] = Td - Tw; + io[WS(ios, 7)] = TR + TW; + ro[WS(ros, 3)] = Td + Tw; + io[0] = TR - TW; + } + { + E Tx, TY, TA, TX, Ty, Tz; + Tx = T5 + Tc; + TY = TV - TS; + Ty = FNMS(KP195090322, Tl, KP980785280 * Ti); + Tz = FMA(KP980785280, Tr, KP195090322 * Tu); + TA = Ty + Tz; + TX = Tz - Ty; + ro[WS(ros, 7)] = Tx - TA; + io[WS(ios, 3)] = TX + TY; + ro[0] = Tx + TA; + io[WS(ios, 4)] = TX - TY; + } + { + E TF, T12, TM, TZ, TI, TL; + TF = TB + TE; + T12 = T10 - T11; + TI = FMA(KP831469612, TG, KP555570233 * TH); + TL = FMA(KP831469612, TJ, KP555570233 * TK); + TM = TI - TL; + TZ = TI + TL; + ro[WS(ros, 6)] = TF - TM; + io[WS(ios, 2)] = T12 - TZ; + ro[WS(ros, 1)] = TF + TM; + io[WS(ios, 5)] = -(TZ + T12); + } + { + E TN, T14, TQ, T13, TO, TP; + TN = TB - TE; + T14 = T10 + T11; + TO = FNMS(KP555570233, TJ, KP831469612 * TK); + TP = FNMS(KP555570233, TG, KP831469612 * TH); + TQ = TO - TP; + T13 = TP + TO; + ro[WS(ros, 5)] = TN - TQ; + io[WS(ios, 1)] = T13 + T14; + ro[WS(ros, 2)] = TN + TQ; + io[WS(ios, 6)] = T13 - T14; + } + } +} + +static const kr2hc_desc desc = { 16, "r2hcII_16", {54, 18, 12, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_16) (planner *p) { + X(kr2hcII_register) (p, r2hcII_16, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_2.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_2.c new file mode 100644 index 0000000..00ca93b --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_2.c @@ -0,0 +1,58 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:02 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 2 -name r2hcII_2 -dft-II -include r2hcII.h */ + +/* + * This function contains 0 FP additions, 0 FP multiplications, + * (or, 0 additions, 0 multiplications, 0 fused multiply/add), + * 3 stack variables, and 4 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_2(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T2; + T1 = I[0]; + ro[0] = T1; + T2 = I[WS(is, 1)]; + io[0] = -T2; + } +} + +static const kr2hc_desc desc = { 2, "r2hcII_2", {0, 0, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_2) (planner *p) { + X(kr2hcII_register) (p, r2hcII_2, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_3.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_3.c new file mode 100644 index 0000000..afdc6d1 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_3.c @@ -0,0 +1,63 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:02 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 3 -name r2hcII_3 -dft-II -include r2hcII.h */ + +/* + * This function contains 4 FP additions, 2 FP multiplications, + * (or, 3 additions, 1 multiplications, 1 fused multiply/add), + * 7 stack variables, and 6 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_3(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T2, T3, T4; + T1 = I[0]; + T2 = I[WS(is, 1)]; + T3 = I[WS(is, 2)]; + T4 = T2 - T3; + ro[WS(ros, 1)] = T1 - T4; + io[0] = -(KP866025403 * (T2 + T3)); + ro[0] = FMA(KP500000000, T4, T1); + } +} + +static const kr2hc_desc desc = { 3, "r2hcII_3", {3, 1, 1, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_3) (planner *p) { + X(kr2hcII_register) (p, r2hcII_3, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_32.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_32.c new file mode 100644 index 0000000..728ae3d --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_32.c @@ -0,0 +1,358 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:28 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 32 -name r2hcII_32 -dft-II -include r2hcII.h */ + +/* + * This function contains 174 FP additions, 82 FP multiplications, + * (or, 138 additions, 46 multiplications, 36 fused multiply/add), + * 62 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_32(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T5, T2D, T1z, T2q, Tc, T2C, T1C, T2n, Tm, T1k, T1J, T26, Tv, T1l, T1G; + E T27, T15, T1r, T1Y, T2e, T1c, T1s, T1V, T2d, TK, T1o, T1R, T2b, TR, T1p; + E T1O, T2a; + { + E T1, T2p, T4, T2o, T2, T3; + T1 = I[0]; + T2p = I[WS(is, 16)]; + T2 = I[WS(is, 8)]; + T3 = I[WS(is, 24)]; + T4 = KP707106781 * (T2 - T3); + T2o = KP707106781 * (T2 + T3); + T5 = T1 + T4; + T2D = T2p - T2o; + T1z = T1 - T4; + T2q = T2o + T2p; + } + { + E T8, T1A, Tb, T1B; + { + E T6, T7, T9, Ta; + T6 = I[WS(is, 4)]; + T7 = I[WS(is, 20)]; + T8 = FNMS(KP382683432, T7, KP923879532 * T6); + T1A = FMA(KP382683432, T6, KP923879532 * T7); + T9 = I[WS(is, 12)]; + Ta = I[WS(is, 28)]; + Tb = FNMS(KP923879532, Ta, KP382683432 * T9); + T1B = FMA(KP923879532, T9, KP382683432 * Ta); + } + Tc = T8 + Tb; + T2C = Tb - T8; + T1C = T1A - T1B; + T2n = T1A + T1B; + } + { + E Te, Tk, Th, Tj, Tf, Tg; + Te = I[WS(is, 2)]; + Tk = I[WS(is, 18)]; + Tf = I[WS(is, 10)]; + Tg = I[WS(is, 26)]; + Th = KP707106781 * (Tf - Tg); + Tj = KP707106781 * (Tf + Tg); + { + E Ti, Tl, T1H, T1I; + Ti = Te + Th; + Tl = Tj + Tk; + Tm = FNMS(KP195090322, Tl, KP980785280 * Ti); + T1k = FMA(KP195090322, Ti, KP980785280 * Tl); + T1H = Tk - Tj; + T1I = Te - Th; + T1J = FNMS(KP555570233, T1I, KP831469612 * T1H); + T26 = FMA(KP831469612, T1I, KP555570233 * T1H); + } + } + { + E Tq, Tt, Tp, Ts, Tn, To; + Tq = I[WS(is, 30)]; + Tt = I[WS(is, 14)]; + Tn = I[WS(is, 6)]; + To = I[WS(is, 22)]; + Tp = KP707106781 * (Tn - To); + Ts = KP707106781 * (Tn + To); + { + E Tr, Tu, T1E, T1F; + Tr = Tp - Tq; + Tu = Ts + Tt; + Tv = FMA(KP980785280, Tr, KP195090322 * Tu); + T1l = FNMS(KP980785280, Tu, KP195090322 * Tr); + T1E = Tt - Ts; + T1F = Tp + Tq; + T1G = FNMS(KP555570233, T1F, KP831469612 * T1E); + T27 = FMA(KP831469612, T1F, KP555570233 * T1E); + } + } + { + E TW, T1a, TV, T19, T10, T16, T13, T17, TT, TU; + TW = I[WS(is, 31)]; + T1a = I[WS(is, 15)]; + TT = I[WS(is, 7)]; + TU = I[WS(is, 23)]; + TV = KP707106781 * (TT - TU); + T19 = KP707106781 * (TT + TU); + { + E TY, TZ, T11, T12; + TY = I[WS(is, 3)]; + TZ = I[WS(is, 19)]; + T10 = FNMS(KP382683432, TZ, KP923879532 * TY); + T16 = FMA(KP382683432, TY, KP923879532 * TZ); + T11 = I[WS(is, 11)]; + T12 = I[WS(is, 27)]; + T13 = FNMS(KP923879532, T12, KP382683432 * T11); + T17 = FMA(KP923879532, T11, KP382683432 * T12); + } + { + E TX, T14, T1W, T1X; + TX = TV - TW; + T14 = T10 + T13; + T15 = TX + T14; + T1r = TX - T14; + T1W = T13 - T10; + T1X = T1a - T19; + T1Y = T1W - T1X; + T2e = T1W + T1X; + } + { + E T18, T1b, T1T, T1U; + T18 = T16 + T17; + T1b = T19 + T1a; + T1c = T18 + T1b; + T1s = T1b - T18; + T1T = TV + TW; + T1U = T16 - T17; + T1V = T1T + T1U; + T2d = T1U - T1T; + } + } + { + E Ty, TP, TB, TO, TF, TL, TI, TM, Tz, TA; + Ty = I[WS(is, 1)]; + TP = I[WS(is, 17)]; + Tz = I[WS(is, 9)]; + TA = I[WS(is, 25)]; + TB = KP707106781 * (Tz - TA); + TO = KP707106781 * (Tz + TA); + { + E TD, TE, TG, TH; + TD = I[WS(is, 5)]; + TE = I[WS(is, 21)]; + TF = FNMS(KP382683432, TE, KP923879532 * TD); + TL = FMA(KP382683432, TD, KP923879532 * TE); + TG = I[WS(is, 13)]; + TH = I[WS(is, 29)]; + TI = FNMS(KP923879532, TH, KP382683432 * TG); + TM = FMA(KP923879532, TG, KP382683432 * TH); + } + { + E TC, TJ, T1P, T1Q; + TC = Ty + TB; + TJ = TF + TI; + TK = TC + TJ; + T1o = TC - TJ; + T1P = TI - TF; + T1Q = TP - TO; + T1R = T1P - T1Q; + T2b = T1P + T1Q; + } + { + E TN, TQ, T1M, T1N; + TN = TL + TM; + TQ = TO + TP; + TR = TN + TQ; + T1p = TQ - TN; + T1M = Ty - TB; + T1N = TL - TM; + T1O = T1M - T1N; + T2a = T1M + T1N; + } + } + { + E Tx, T1f, T2s, T2u, T1e, T2l, T1i, T2t; + { + E Td, Tw, T2m, T2r; + Td = T5 + Tc; + Tw = Tm + Tv; + Tx = Td - Tw; + T1f = Td + Tw; + T2m = T1l - T1k; + T2r = T2n + T2q; + T2s = T2m - T2r; + T2u = T2m + T2r; + } + { + E TS, T1d, T1g, T1h; + TS = FMA(KP098017140, TK, KP995184726 * TR); + T1d = FNMS(KP995184726, T1c, KP098017140 * T15); + T1e = TS + T1d; + T2l = T1d - TS; + T1g = FNMS(KP098017140, TR, KP995184726 * TK); + T1h = FMA(KP995184726, T15, KP098017140 * T1c); + T1i = T1g + T1h; + T2t = T1h - T1g; + } + ro[WS(ros, 8)] = Tx - T1e; + io[WS(ios, 8)] = T2t - T2u; + ro[WS(ros, 7)] = Tx + T1e; + io[WS(ios, 7)] = T2t + T2u; + ro[WS(ros, 15)] = T1f - T1i; + io[WS(ios, 15)] = T2l - T2s; + ro[0] = T1f + T1i; + io[0] = T2l + T2s; + } + { + E T29, T2h, T2M, T2O, T2g, T2J, T2k, T2N; + { + E T25, T28, T2K, T2L; + T25 = T1z + T1C; + T28 = T26 - T27; + T29 = T25 + T28; + T2h = T25 - T28; + T2K = T1J + T1G; + T2L = T2C + T2D; + T2M = T2K - T2L; + T2O = T2K + T2L; + } + { + E T2c, T2f, T2i, T2j; + T2c = FMA(KP956940335, T2a, KP290284677 * T2b); + T2f = FNMS(KP290284677, T2e, KP956940335 * T2d); + T2g = T2c + T2f; + T2J = T2f - T2c; + T2i = FMA(KP290284677, T2d, KP956940335 * T2e); + T2j = FNMS(KP290284677, T2a, KP956940335 * T2b); + T2k = T2i - T2j; + T2N = T2j + T2i; + } + ro[WS(ros, 14)] = T29 - T2g; + io[WS(ios, 14)] = T2N - T2O; + ro[WS(ros, 1)] = T29 + T2g; + io[WS(ios, 1)] = T2N + T2O; + ro[WS(ros, 9)] = T2h - T2k; + io[WS(ios, 9)] = T2J - T2M; + ro[WS(ros, 6)] = T2h + T2k; + io[WS(ios, 6)] = T2J + T2M; + } + { + E T1n, T1v, T2y, T2A, T1u, T2v, T1y, T2z; + { + E T1j, T1m, T2w, T2x; + T1j = T5 - Tc; + T1m = T1k + T1l; + T1n = T1j + T1m; + T1v = T1j - T1m; + T2w = Tv - Tm; + T2x = T2q - T2n; + T2y = T2w - T2x; + T2A = T2w + T2x; + } + { + E T1q, T1t, T1w, T1x; + T1q = FMA(KP773010453, T1o, KP634393284 * T1p); + T1t = FNMS(KP634393284, T1s, KP773010453 * T1r); + T1u = T1q + T1t; + T2v = T1t - T1q; + T1w = FMA(KP634393284, T1r, KP773010453 * T1s); + T1x = FNMS(KP634393284, T1o, KP773010453 * T1p); + T1y = T1w - T1x; + T2z = T1x + T1w; + } + ro[WS(ros, 12)] = T1n - T1u; + io[WS(ios, 12)] = T2z - T2A; + ro[WS(ros, 3)] = T1n + T1u; + io[WS(ios, 3)] = T2z + T2A; + ro[WS(ros, 11)] = T1v - T1y; + io[WS(ios, 11)] = T2v - T2y; + ro[WS(ros, 4)] = T1v + T1y; + io[WS(ios, 4)] = T2v + T2y; + } + { + E T1L, T21, T2G, T2I, T20, T2H, T24, T2B; + { + E T1D, T1K, T2E, T2F; + T1D = T1z - T1C; + T1K = T1G - T1J; + T1L = T1D + T1K; + T21 = T1D - T1K; + T2E = T2C - T2D; + T2F = T26 + T27; + T2G = T2E - T2F; + T2I = T2F + T2E; + } + { + E T1S, T1Z, T22, T23; + T1S = FMA(KP881921264, T1O, KP471396736 * T1R); + T1Z = FMA(KP881921264, T1V, KP471396736 * T1Y); + T20 = T1S - T1Z; + T2H = T1S + T1Z; + T22 = FNMS(KP471396736, T1V, KP881921264 * T1Y); + T23 = FNMS(KP471396736, T1O, KP881921264 * T1R); + T24 = T22 - T23; + T2B = T23 + T22; + } + ro[WS(ros, 13)] = T1L - T20; + io[WS(ios, 13)] = T2B - T2G; + ro[WS(ros, 2)] = T1L + T20; + io[WS(ios, 2)] = T2B + T2G; + ro[WS(ros, 10)] = T21 - T24; + io[WS(ios, 10)] = T2I - T2H; + ro[WS(ros, 5)] = T21 + T24; + io[WS(ios, 5)] = -(T2H + T2I); + } + } +} + +static const kr2hc_desc desc = { 32, "r2hcII_32", {138, 46, 36, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_32) (planner *p) { + X(kr2hcII_register) (p, r2hcII_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_4.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_4.c new file mode 100644 index 0000000..94aaf84 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_4.c @@ -0,0 +1,65 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:02 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 4 -name r2hcII_4 -dft-II -include r2hcII.h */ + +/* + * This function contains 6 FP additions, 2 FP multiplications, + * (or, 6 additions, 2 multiplications, 0 fused multiply/add), + * 8 stack variables, and 8 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_4(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T6, T4, T5, T2, T3; + T1 = I[0]; + T6 = I[WS(is, 2)]; + T2 = I[WS(is, 1)]; + T3 = I[WS(is, 3)]; + T4 = KP707106781 * (T2 - T3); + T5 = KP707106781 * (T2 + T3); + ro[WS(ros, 1)] = T1 - T4; + io[WS(ios, 1)] = T6 - T5; + ro[0] = T1 + T4; + io[0] = -(T5 + T6); + } +} + +static const kr2hc_desc desc = { 4, "r2hcII_4", {6, 2, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_4) (planner *p) { + X(kr2hcII_register) (p, r2hcII_4, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_5.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_5.c new file mode 100644 index 0000000..bb40e64 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_5.c @@ -0,0 +1,78 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:03 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 5 -name r2hcII_5 -dft-II -include r2hcII.h */ + +/* + * This function contains 12 FP additions, 6 FP multiplications, + * (or, 9 additions, 3 multiplications, 3 fused multiply/add), + * 17 stack variables, and 10 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_5(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T8, T3, T6, T9, Tc, Tb, T7, Ta; + T8 = I[0]; + { + E T1, T2, T4, T5; + T1 = I[WS(is, 2)]; + T2 = I[WS(is, 3)]; + T3 = T1 - T2; + T4 = I[WS(is, 4)]; + T5 = I[WS(is, 1)]; + T6 = T4 - T5; + T9 = T3 + T6; + Tc = T4 + T5; + Tb = T1 + T2; + } + ro[WS(ros, 2)] = T8 + T9; + io[WS(ios, 1)] = FNMS(KP951056516, Tc, KP587785252 * Tb); + io[0] = -(FMA(KP951056516, Tb, KP587785252 * Tc)); + T7 = KP559016994 * (T3 - T6); + Ta = FNMS(KP250000000, T9, T8); + ro[0] = T7 + Ta; + ro[WS(ros, 1)] = Ta - T7; + } +} + +static const kr2hc_desc desc = { 5, "r2hcII_5", {9, 3, 3, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_5) (planner *p) { + X(kr2hcII_register) (p, r2hcII_5, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_6.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_6.c new file mode 100644 index 0000000..04e76c9 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_6.c @@ -0,0 +1,73 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:03 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 6 -name r2hcII_6 -dft-II -include r2hcII.h */ + +/* + * This function contains 13 FP additions, 4 FP multiplications, + * (or, 11 additions, 2 multiplications, 2 fused multiply/add), + * 14 stack variables, and 12 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_6(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E Ta, T7, T9, T1, T3, T2, T8, T4, T5, T6, Tb; + Ta = I[WS(is, 3)]; + T5 = I[WS(is, 5)]; + T6 = I[WS(is, 1)]; + T7 = KP866025403 * (T5 - T6); + T9 = T5 + T6; + T1 = I[0]; + T3 = I[WS(is, 2)]; + T2 = I[WS(is, 4)]; + T8 = KP866025403 * (T2 + T3); + T4 = FMA(KP500000000, T3 - T2, T1); + ro[0] = T4 - T7; + ro[WS(ros, 2)] = T4 + T7; + io[WS(ios, 1)] = Ta - T9; + ro[WS(ros, 1)] = T1 + T2 - T3; + Tb = FMA(KP500000000, T9, Ta); + io[0] = -(T8 + Tb); + io[WS(ios, 2)] = T8 - Tb; + } +} + +static const kr2hc_desc desc = { 6, "r2hcII_6", {11, 2, 2, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_6) (planner *p) { + X(kr2hcII_register) (p, r2hcII_6, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_7.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_7.c new file mode 100644 index 0000000..13fb676 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_7.c @@ -0,0 +1,83 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:04 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 7 -name r2hcII_7 -dft-II -include r2hcII.h */ + +/* + * This function contains 24 FP additions, 18 FP multiplications, + * (or, 12 additions, 6 multiplications, 12 fused multiply/add), + * 20 stack variables, and 14 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_7(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP900968867, +0.900968867902419126236102319507445051165919162); + DK(KP222520933, +0.222520933956314404288902564496794759466355569); + DK(KP623489801, +0.623489801858733530525004884004239810632274731); + DK(KP433883739, +0.433883739117558120475768332848358754609990728); + DK(KP974927912, +0.974927912181823607018131682993931217232785801); + DK(KP781831482, +0.781831482468029808708444526674057750232334519); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, Ta, Td, T4, Tb, T7, Tc, T8, T9; + T1 = I[0]; + T8 = I[WS(is, 1)]; + T9 = I[WS(is, 6)]; + Ta = T8 - T9; + Td = T8 + T9; + { + E T2, T3, T5, T6; + T2 = I[WS(is, 2)]; + T3 = I[WS(is, 5)]; + T4 = T2 - T3; + Tb = T2 + T3; + T5 = I[WS(is, 3)]; + T6 = I[WS(is, 4)]; + T7 = T5 - T6; + Tc = T5 + T6; + } + io[0] = -(FMA(KP781831482, Tb, KP974927912 * Tc) + (KP433883739 * Td)); + io[WS(ios, 1)] = FNMS(KP974927912, Td, KP781831482 * Tc) - (KP433883739 * Tb); + ro[0] = FMA(KP623489801, T4, T1) + FMA(KP222520933, T7, KP900968867 * Ta); + io[WS(ios, 2)] = FNMS(KP781831482, Td, KP974927912 * Tb) - (KP433883739 * Tc); + ro[WS(ros, 2)] = FMA(KP900968867, T7, T1) + FNMA(KP623489801, Ta, KP222520933 * T4); + ro[WS(ros, 1)] = FMA(KP222520933, Ta, T1) + FNMA(KP623489801, T7, KP900968867 * T4); + ro[WS(ros, 3)] = T1 + T4 - (T7 + Ta); + } +} + +static const kr2hc_desc desc = { 7, "r2hcII_7", {12, 6, 12, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_7) (planner *p) { + X(kr2hcII_register) (p, r2hcII_7, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_8.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_8.c new file mode 100644 index 0000000..d6d2aaf --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_8.c @@ -0,0 +1,96 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:04 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 8 -name r2hcII_8 -dft-II -include r2hcII.h */ + +/* + * This function contains 22 FP additions, 10 FP multiplications, + * (or, 18 additions, 6 multiplications, 4 fused multiply/add), + * 18 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_8(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, Tj, T4, Ti, T8, Te, Tb, Tf, T2, T3; + T1 = I[0]; + Tj = I[WS(is, 4)]; + T2 = I[WS(is, 2)]; + T3 = I[WS(is, 6)]; + T4 = KP707106781 * (T2 - T3); + Ti = KP707106781 * (T2 + T3); + { + E T6, T7, T9, Ta; + T6 = I[WS(is, 1)]; + T7 = I[WS(is, 5)]; + T8 = FNMS(KP382683432, T7, KP923879532 * T6); + Te = FMA(KP382683432, T6, KP923879532 * T7); + T9 = I[WS(is, 3)]; + Ta = I[WS(is, 7)]; + Tb = FNMS(KP923879532, Ta, KP382683432 * T9); + Tf = FMA(KP923879532, T9, KP382683432 * Ta); + } + { + E T5, Tc, Th, Tk; + T5 = T1 + T4; + Tc = T8 + Tb; + ro[WS(ros, 3)] = T5 - Tc; + ro[0] = T5 + Tc; + Th = Te + Tf; + Tk = Ti + Tj; + io[0] = -(Th + Tk); + io[WS(ios, 3)] = Tk - Th; + } + { + E Td, Tg, Tl, Tm; + Td = T1 - T4; + Tg = Te - Tf; + ro[WS(ros, 2)] = Td - Tg; + ro[WS(ros, 1)] = Td + Tg; + Tl = Tb - T8; + Tm = Tj - Ti; + io[WS(ios, 2)] = Tl - Tm; + io[WS(ios, 1)] = Tl + Tm; + } + } +} + +static const kr2hc_desc desc = { 8, "r2hcII_8", {18, 6, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_8) (planner *p) { + X(kr2hcII_register) (p, r2hcII_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hcII_9.c b/src/fftw3/rdft/codelets/r2hc/r2hcII_9.c new file mode 100644 index 0000000..a046b93 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hcII_9.c @@ -0,0 +1,118 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:58:09 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 9 -name r2hcII_9 -dft-II -include r2hcII.h */ + +/* + * This function contains 42 FP additions, 30 FP multiplications, + * (or, 25 additions, 13 multiplications, 17 fused multiply/add), + * 39 stack variables, and 18 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hcII_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hcII_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hcII.h" + +static void r2hcII_9(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP663413948, +0.663413948168938396205421319635891297216863310); + DK(KP642787609, +0.642787609686539326322643409907263432907559884); + DK(KP556670399, +0.556670399226419366452912952047023132968291906); + DK(KP766044443, +0.766044443118978035202392650555416673935832457); + DK(KP852868531, +0.852868531952443209628250963940074071936020296); + DK(KP173648177, +0.173648177666930348851716626769314796000375677); + DK(KP984807753, +0.984807753012208059366743024589523013670643252); + DK(KP150383733, +0.150383733180435296639271897612501926072238258); + DK(KP813797681, +0.813797681349373692844693217248393223289101568); + DK(KP342020143, +0.342020143325668733044099614682259580763083368); + DK(KP939692620, +0.939692620785908384054109277324731469936208134); + DK(KP296198132, +0.296198132726023843175338011893050938967728390); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T4, To, Ta, Tl, Tk, Tf, Ti, Th, T2, T3, T5, Tg; + T1 = I[0]; + T2 = I[WS(is, 3)]; + T3 = I[WS(is, 6)]; + T4 = T2 - T3; + To = T2 + T3; + { + E T6, T7, T8, T9; + T6 = I[WS(is, 2)]; + T7 = I[WS(is, 5)]; + T8 = I[WS(is, 8)]; + T9 = T7 - T8; + Ta = T6 - T9; + Tl = T7 + T8; + Tk = FMA(KP500000000, T9, T6); + } + { + E Tb, Tc, Td, Te; + Tb = I[WS(is, 4)]; + Tc = I[WS(is, 1)]; + Td = I[WS(is, 7)]; + Te = Tc + Td; + Tf = Tb - Te; + Ti = FMA(KP500000000, Te, Tb); + Th = Tc - Td; + } + io[WS(ios, 1)] = KP866025403 * (Tf - Ta); + T5 = T1 - T4; + Tg = Ta + Tf; + ro[WS(ros, 1)] = FNMS(KP500000000, Tg, T5); + ro[WS(ros, 4)] = T5 + Tg; + { + E Tr, Tt, Tw, Tv, Tu, Tp, Tq, Ts, Tj, Tm, Tn; + Tr = FMA(KP500000000, T4, T1); + Tt = FMA(KP296198132, Th, KP939692620 * Ti); + Tw = FNMS(KP813797681, Th, KP342020143 * Ti); + Tv = FNMS(KP984807753, Tk, KP150383733 * Tl); + Tu = FMA(KP173648177, Tk, KP852868531 * Tl); + Tp = FNMS(KP556670399, Tl, KP766044443 * Tk); + Tq = FMA(KP852868531, Th, KP173648177 * Ti); + Ts = Tp + Tq; + Tj = FNMS(KP984807753, Ti, KP150383733 * Th); + Tm = FMA(KP642787609, Tk, KP663413948 * Tl); + Tn = Tj - Tm; + io[0] = FNMS(KP866025403, To, Tn); + ro[0] = Tr + Ts; + io[WS(ios, 3)] = FNMS(KP500000000, Tn, KP866025403 * ((Tp - Tq) - To)); + ro[WS(ros, 3)] = FMA(KP866025403, Tm + Tj, Tr) - (KP500000000 * Ts); + io[WS(ios, 2)] = FMA(KP866025403, To - (Tu + Tt), KP500000000 * (Tw - Tv)); + ro[WS(ros, 2)] = FMA(KP500000000, Tt - Tu, Tr) + (KP866025403 * (Tv + Tw)); + } + } +} + +static const kr2hc_desc desc = { 9, "r2hcII_9", {25, 13, 17, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hcII_9) (planner *p) { + X(kr2hcII_register) (p, r2hcII_9, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_10.c b/src/fftw3/rdft/codelets/r2hc/r2hc_10.c new file mode 100644 index 0000000..38e1766 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_10.c @@ -0,0 +1,115 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:41 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 10 -name r2hc_10 -include r2hc.h */ + +/* + * This function contains 34 FP additions, 12 FP multiplications, + * (or, 28 additions, 6 multiplications, 6 fused multiply/add), + * 26 stack variables, and 20 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_10.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_10(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E Ti, Tt, Ta, Tn, Td, To, Te, Tv, T3, Tq, T6, Tr, T7, Tu, Tg; + E Th; + Tg = I[0]; + Th = I[WS(is, 5)]; + Ti = Tg - Th; + Tt = Tg + Th; + { + E T8, T9, Tb, Tc; + T8 = I[WS(is, 4)]; + T9 = I[WS(is, 9)]; + Ta = T8 - T9; + Tn = T8 + T9; + Tb = I[WS(is, 6)]; + Tc = I[WS(is, 1)]; + Td = Tb - Tc; + To = Tb + Tc; + } + Te = Ta + Td; + Tv = Tn + To; + { + E T1, T2, T4, T5; + T1 = I[WS(is, 2)]; + T2 = I[WS(is, 7)]; + T3 = T1 - T2; + Tq = T1 + T2; + T4 = I[WS(is, 8)]; + T5 = I[WS(is, 3)]; + T6 = T4 - T5; + Tr = T4 + T5; + } + T7 = T3 + T6; + Tu = Tq + Tr; + { + E Tl, Tm, Tf, Tj, Tk; + Tl = Td - Ta; + Tm = T3 - T6; + io[WS(ios, 1)] = FNMS(KP951056516, Tm, KP587785252 * Tl); + io[WS(ios, 3)] = FMA(KP587785252, Tm, KP951056516 * Tl); + Tf = KP559016994 * (T7 - Te); + Tj = T7 + Te; + Tk = FNMS(KP250000000, Tj, Ti); + ro[WS(ros, 1)] = Tf + Tk; + ro[WS(ros, 5)] = Ti + Tj; + ro[WS(ros, 3)] = Tk - Tf; + } + { + E Tp, Ts, Ty, Tw, Tx; + Tp = Tn - To; + Ts = Tq - Tr; + io[WS(ios, 2)] = FNMS(KP587785252, Ts, KP951056516 * Tp); + io[WS(ios, 4)] = FMA(KP951056516, Ts, KP587785252 * Tp); + Ty = KP559016994 * (Tu - Tv); + Tw = Tu + Tv; + Tx = FNMS(KP250000000, Tw, Tt); + ro[WS(ros, 2)] = Tx - Ty; + ro[0] = Tt + Tw; + ro[WS(ros, 4)] = Ty + Tx; + } + } +} + +static const kr2hc_desc desc = { 10, "r2hc_10", {28, 6, 6, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_10) (planner *p) { + X(kr2hc_register) (p, r2hc_10, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_11.c b/src/fftw3/rdft/codelets/r2hc/r2hc_11.c new file mode 100644 index 0000000..cceb091 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_11.c @@ -0,0 +1,102 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:41 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 11 -name r2hc_11 -include r2hc.h */ + +/* + * This function contains 60 FP additions, 50 FP multiplications, + * (or, 20 additions, 10 multiplications, 40 fused multiply/add), + * 28 stack variables, and 22 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_11.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_11.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_11.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_11(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP654860733, +0.654860733945285064056925072466293553183791199); + DK(KP142314838, +0.142314838273285140443792668616369668791051361); + DK(KP959492973, +0.959492973614497389890368057066327699062454848); + DK(KP415415013, +0.415415013001886425529274149229623203524004910); + DK(KP841253532, +0.841253532831181168861811648919367717513292498); + DK(KP989821441, +0.989821441880932732376092037776718787376519372); + DK(KP909631995, +0.909631995354518371411715383079028460060241051); + DK(KP281732556, +0.281732556841429697711417915346616899035777899); + DK(KP540640817, +0.540640817455597582107635954318691695431770608); + DK(KP755749574, +0.755749574354258283774035843972344420179717445); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T4, Tl, Tg, Th, Td, Ti, Ta, Tk, T7, Tj, Tb, Tc; + T1 = I[0]; + { + E T2, T3, Te, Tf; + T2 = I[WS(is, 2)]; + T3 = I[WS(is, 9)]; + T4 = T2 + T3; + Tl = T3 - T2; + Te = I[WS(is, 1)]; + Tf = I[WS(is, 10)]; + Tg = Te + Tf; + Th = Tf - Te; + } + Tb = I[WS(is, 3)]; + Tc = I[WS(is, 8)]; + Td = Tb + Tc; + Ti = Tc - Tb; + { + E T8, T9, T5, T6; + T8 = I[WS(is, 5)]; + T9 = I[WS(is, 6)]; + Ta = T8 + T9; + Tk = T9 - T8; + T5 = I[WS(is, 4)]; + T6 = I[WS(is, 7)]; + T7 = T5 + T6; + Tj = T6 - T5; + } + io[WS(ios, 4)] = FMA(KP755749574, Th, KP540640817 * Ti) + FNMS(KP909631995, Tk, KP281732556 * Tj) - (KP989821441 * Tl); + ro[WS(ros, 4)] = FMA(KP841253532, Td, T1) + FNMS(KP959492973, T7, KP415415013 * Ta) + FNMA(KP142314838, T4, KP654860733 * Tg); + io[WS(ios, 2)] = FMA(KP909631995, Th, KP755749574 * Tl) + FNMA(KP540640817, Tk, KP989821441 * Tj) - (KP281732556 * Ti); + io[WS(ios, 5)] = FMA(KP281732556, Th, KP755749574 * Ti) + FNMS(KP909631995, Tj, KP989821441 * Tk) - (KP540640817 * Tl); + io[WS(ios, 1)] = FMA(KP540640817, Th, KP909631995 * Tl) + FMA(KP989821441, Ti, KP755749574 * Tj) + (KP281732556 * Tk); + io[WS(ios, 3)] = FMA(KP989821441, Th, KP540640817 * Tj) + FNMS(KP909631995, Ti, KP755749574 * Tk) - (KP281732556 * Tl); + ro[WS(ros, 3)] = FMA(KP415415013, Td, T1) + FNMS(KP654860733, Ta, KP841253532 * T7) + FNMA(KP959492973, T4, KP142314838 * Tg); + ro[WS(ros, 1)] = FMA(KP841253532, Tg, T1) + FNMS(KP959492973, Ta, KP415415013 * T4) + FNMA(KP654860733, T7, KP142314838 * Td); + ro[0] = T1 + Tg + T4 + Td + T7 + Ta; + ro[WS(ros, 2)] = FMA(KP415415013, Tg, T1) + FNMS(KP142314838, T7, KP841253532 * Ta) + FNMA(KP959492973, Td, KP654860733 * T4); + ro[WS(ros, 5)] = FMA(KP841253532, T4, T1) + FNMS(KP142314838, Ta, KP415415013 * T7) + FNMA(KP654860733, Td, KP959492973 * Tg); + } +} + +static const kr2hc_desc desc = { 11, "r2hc_11", {20, 10, 40, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_11) (planner *p) { + X(kr2hc_register) (p, r2hc_11, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_12.c b/src/fftw3/rdft/codelets/r2hc/r2hc_12.c new file mode 100644 index 0000000..81a5273 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_12.c @@ -0,0 +1,124 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:41 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 12 -name r2hc_12 -include r2hc.h */ + +/* + * This function contains 38 FP additions, 8 FP multiplications, + * (or, 34 additions, 4 multiplications, 4 fused multiply/add), + * 21 stack variables, and 24 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_12.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_12(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T5, Tp, Tb, Tn, Ty, Tt, Ta, Tq, Tc, Ti, Tz, Tu, Td, To; + { + E T1, T2, T3, T4; + T1 = I[0]; + T2 = I[WS(is, 4)]; + T3 = I[WS(is, 8)]; + T4 = T2 + T3; + T5 = T1 + T4; + Tp = FNMS(KP500000000, T4, T1); + Tb = T3 - T2; + } + { + E Tj, Tk, Tl, Tm; + Tj = I[WS(is, 3)]; + Tk = I[WS(is, 7)]; + Tl = I[WS(is, 11)]; + Tm = Tk + Tl; + Tn = FNMS(KP500000000, Tm, Tj); + Ty = Tl - Tk; + Tt = Tj + Tm; + } + { + E T6, T7, T8, T9; + T6 = I[WS(is, 6)]; + T7 = I[WS(is, 10)]; + T8 = I[WS(is, 2)]; + T9 = T7 + T8; + Ta = T6 + T9; + Tq = FNMS(KP500000000, T9, T6); + Tc = T8 - T7; + } + { + E Te, Tf, Tg, Th; + Te = I[WS(is, 9)]; + Tf = I[WS(is, 1)]; + Tg = I[WS(is, 5)]; + Th = Tf + Tg; + Ti = FNMS(KP500000000, Th, Te); + Tz = Tg - Tf; + Tu = Te + Th; + } + ro[WS(ros, 3)] = T5 - Ta; + io[WS(ios, 3)] = Tt - Tu; + Td = KP866025403 * (Tb - Tc); + To = Ti - Tn; + io[WS(ios, 1)] = Td + To; + io[WS(ios, 5)] = To - Td; + { + E Tx, TA, Tv, Tw; + Tx = Tp - Tq; + TA = KP866025403 * (Ty - Tz); + ro[WS(ros, 5)] = Tx - TA; + ro[WS(ros, 1)] = Tx + TA; + Tv = T5 + Ta; + Tw = Tt + Tu; + ro[WS(ros, 6)] = Tv - Tw; + ro[0] = Tv + Tw; + } + { + E Tr, Ts, TB, TC; + Tr = Tp + Tq; + Ts = Tn + Ti; + ro[WS(ros, 2)] = Tr - Ts; + ro[WS(ros, 4)] = Tr + Ts; + TB = Ty + Tz; + TC = Tb + Tc; + io[WS(ios, 2)] = KP866025403 * (TB - TC); + io[WS(ios, 4)] = KP866025403 * (TC + TB); + } + } +} + +static const kr2hc_desc desc = { 12, "r2hc_12", {34, 4, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_12) (planner *p) { + X(kr2hc_register) (p, r2hc_12, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_13.c b/src/fftw3/rdft/codelets/r2hc/r2hc_13.c new file mode 100644 index 0000000..deb7914 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_13.c @@ -0,0 +1,194 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:41 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 13 -name r2hc_13 -include r2hc.h */ + +/* + * This function contains 76 FP additions, 34 FP multiplications, + * (or, 57 additions, 15 multiplications, 19 fused multiply/add), + * 55 stack variables, and 26 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_13.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_13.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_13.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_13(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP083333333, +0.083333333333333333333333333333333333333333333); + DK(KP075902986, +0.075902986037193865983102897245103540356428373); + DK(KP251768516, +0.251768516431883313623436926934233488546674281); + DK(KP503537032, +0.503537032863766627246873853868466977093348562); + DK(KP113854479, +0.113854479055790798974654345867655310534642560); + DK(KP265966249, +0.265966249214837287587521063842185948798330267); + DK(KP387390585, +0.387390585467617292130675966426762851778775217); + DK(KP300462606, +0.300462606288665774426601772289207995520941381); + DK(KP132983124, +0.132983124607418643793760531921092974399165133); + DK(KP258260390, +0.258260390311744861420450644284508567852516811); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_732050807, +1.732050807568877293527446341505872366942805254); + DK(KP300238635, +0.300238635966332641462884626667381504676006424); + DK(KP011599105, +0.011599105605768290721655456654083252189827041); + DK(KP156891391, +0.156891391051584611046832726756003269660212636); + DK(KP256247671, +0.256247671582936600958684654061725059144125175); + DK(KP174138601, +0.174138601152135905005660794929264742616964676); + DK(KP575140729, +0.575140729474003121368385547455453388461001608); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T13, Tb, Tm, TW, TX, T14, TU, T10, Tz, TB, Tu, TC, TR, T11; + T13 = I[0]; + { + E Te, TO, Ta, Tv, To, T5, Tw, Tp, Th, Tr, Tk, Ts, Tl, TP, Tc; + E Td; + Tc = I[WS(is, 8)]; + Td = I[WS(is, 5)]; + Te = Tc - Td; + TO = Tc + Td; + { + E T6, T7, T8, T9; + T6 = I[WS(is, 1)]; + T7 = I[WS(is, 3)]; + T8 = I[WS(is, 9)]; + T9 = T7 + T8; + Ta = T6 + T9; + Tv = T7 - T8; + To = FNMS(KP500000000, T9, T6); + } + { + E T1, T2, T3, T4; + T1 = I[WS(is, 12)]; + T2 = I[WS(is, 10)]; + T3 = I[WS(is, 4)]; + T4 = T2 + T3; + T5 = T1 + T4; + Tw = T2 - T3; + Tp = FNMS(KP500000000, T4, T1); + } + { + E Tf, Tg, Ti, Tj; + Tf = I[WS(is, 11)]; + Tg = I[WS(is, 6)]; + Th = Tf - Tg; + Tr = Tf + Tg; + Ti = I[WS(is, 7)]; + Tj = I[WS(is, 2)]; + Tk = Ti - Tj; + Ts = Ti + Tj; + } + Tl = Th + Tk; + TP = Tr + Ts; + Tb = T5 - Ta; + Tm = Te + Tl; + TW = Ta + T5; + TX = TO + TP; + T14 = TW + TX; + { + E TS, TT, Tx, Ty; + TS = Tv + Tw; + TT = Th - Tk; + TU = TS - TT; + T10 = TS + TT; + Tx = KP866025403 * (Tv - Tw); + Ty = FNMS(KP500000000, Tl, Te); + Tz = Tx + Ty; + TB = Ty - Tx; + } + { + E Tq, Tt, TN, TQ; + Tq = To - Tp; + Tt = KP866025403 * (Tr - Ts); + Tu = Tq - Tt; + TC = Tq + Tt; + TN = To + Tp; + TQ = FNMS(KP500000000, TP, TO); + TR = TN - TQ; + T11 = TN + TQ; + } + } + ro[0] = T13 + T14; + { + E Tn, TG, TE, TF, TJ, TM, TK, TL; + Tn = FNMS(KP174138601, Tm, KP575140729 * Tb); + TG = FMA(KP174138601, Tb, KP575140729 * Tm); + { + E TA, TD, TH, TI; + TA = FNMS(KP156891391, Tz, KP256247671 * Tu); + TD = FNMS(KP300238635, TC, KP011599105 * TB); + TE = TA + TD; + TF = KP1_732050807 * (TD - TA); + TH = FMA(KP300238635, TB, KP011599105 * TC); + TI = FMA(KP256247671, Tz, KP156891391 * Tu); + TJ = TH - TI; + TM = KP1_732050807 * (TI + TH); + } + io[WS(ios, 5)] = FMA(KP2_000000000, TE, Tn); + io[WS(ios, 1)] = FMA(KP2_000000000, TJ, TG); + TK = TG - TJ; + io[WS(ios, 4)] = TF - TK; + io[WS(ios, 3)] = TF + TK; + TL = Tn - TE; + io[WS(ios, 2)] = TL - TM; + io[WS(ios, 6)] = TL + TM; + } + { + E TZ, T1b, T19, T1e, T16, T1a, TV, TY, T1c, T1d; + TV = FNMS(KP132983124, TU, KP258260390 * TR); + TY = KP300462606 * (TW - TX); + TZ = FMA(KP2_000000000, TV, TY); + T1b = TY - TV; + { + E T17, T18, T12, T15; + T17 = FMA(KP387390585, TU, KP265966249 * TR); + T18 = FNMS(KP503537032, T11, KP113854479 * T10); + T19 = T17 - T18; + T1e = T17 + T18; + T12 = FMA(KP251768516, T10, KP075902986 * T11); + T15 = FNMS(KP083333333, T14, T13); + T16 = FMA(KP2_000000000, T12, T15); + T1a = T15 - T12; + } + ro[WS(ros, 1)] = TZ + T16; + ro[WS(ros, 5)] = T16 - TZ; + T1c = T1a - T1b; + ro[WS(ros, 2)] = T19 + T1c; + ro[WS(ros, 6)] = T1c - T19; + T1d = T1b + T1a; + ro[WS(ros, 3)] = T1d - T1e; + ro[WS(ros, 4)] = T1e + T1d; + } + } +} + +static const kr2hc_desc desc = { 13, "r2hc_13", {57, 15, 19, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_13) (planner *p) { + X(kr2hc_register) (p, r2hc_13, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_14.c b/src/fftw3/rdft/codelets/r2hc/r2hc_14.c new file mode 100644 index 0000000..497d84a --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_14.c @@ -0,0 +1,130 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:41 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 14 -name r2hc_14 -include r2hc.h */ + +/* + * This function contains 62 FP additions, 36 FP multiplications, + * (or, 38 additions, 12 multiplications, 24 fused multiply/add), + * 29 stack variables, and 28 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_14.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_14.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_14.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_14(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP900968867, +0.900968867902419126236102319507445051165919162); + DK(KP222520933, +0.222520933956314404288902564496794759466355569); + DK(KP623489801, +0.623489801858733530525004884004239810632274731); + DK(KP433883739, +0.433883739117558120475768332848358754609990728); + DK(KP974927912, +0.974927912181823607018131682993931217232785801); + DK(KP781831482, +0.781831482468029808708444526674057750232334519); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T3, TB, T6, Tv, Tn, Ts, Tk, Tt, Td, Ty, T9, Tw, Tg, Tz, T1; + E T2; + T1 = I[0]; + T2 = I[WS(is, 7)]; + T3 = T1 - T2; + TB = T1 + T2; + { + E T4, T5, Tl, Tm; + T4 = I[WS(is, 4)]; + T5 = I[WS(is, 11)]; + T6 = T4 - T5; + Tv = T4 + T5; + Tl = I[WS(is, 12)]; + Tm = I[WS(is, 5)]; + Tn = Tl - Tm; + Ts = Tl + Tm; + } + { + E Ti, Tj, Tb, Tc; + Ti = I[WS(is, 2)]; + Tj = I[WS(is, 9)]; + Tk = Ti - Tj; + Tt = Ti + Tj; + Tb = I[WS(is, 6)]; + Tc = I[WS(is, 13)]; + Td = Tb - Tc; + Ty = Tb + Tc; + } + { + E T7, T8, Te, Tf; + T7 = I[WS(is, 10)]; + T8 = I[WS(is, 3)]; + T9 = T7 - T8; + Tw = T7 + T8; + Te = I[WS(is, 8)]; + Tf = I[WS(is, 1)]; + Tg = Te - Tf; + Tz = Te + Tf; + } + { + E Tp, Tr, Tq, Ta, To, Th; + Tp = Tn - Tk; + Tr = Tg - Td; + Tq = T9 - T6; + io[WS(ios, 1)] = FMA(KP781831482, Tp, KP974927912 * Tq) + (KP433883739 * Tr); + io[WS(ios, 5)] = FMA(KP433883739, Tq, KP781831482 * Tr) - (KP974927912 * Tp); + io[WS(ios, 3)] = FMA(KP433883739, Tp, KP974927912 * Tr) - (KP781831482 * Tq); + Ta = T6 + T9; + To = Tk + Tn; + Th = Td + Tg; + ro[WS(ros, 3)] = FMA(KP623489801, Ta, T3) + FNMA(KP222520933, Th, KP900968867 * To); + ro[WS(ros, 7)] = T3 + To + Ta + Th; + ro[WS(ros, 1)] = FMA(KP623489801, To, T3) + FNMA(KP900968867, Th, KP222520933 * Ta); + ro[WS(ros, 5)] = FMA(KP623489801, Th, T3) + FNMA(KP900968867, Ta, KP222520933 * To); + } + { + E Tu, TA, Tx, TC, TE, TD; + Tu = Ts - Tt; + TA = Ty - Tz; + Tx = Tv - Tw; + io[WS(ios, 2)] = FMA(KP974927912, Tu, KP433883739 * Tx) + (KP781831482 * TA); + io[WS(ios, 6)] = FMA(KP974927912, Tx, KP433883739 * TA) - (KP781831482 * Tu); + io[WS(ios, 4)] = FNMS(KP781831482, Tx, KP974927912 * TA) - (KP433883739 * Tu); + TC = Tt + Ts; + TE = Tv + Tw; + TD = Ty + Tz; + ro[WS(ros, 6)] = FMA(KP623489801, TC, TB) + FNMA(KP900968867, TD, KP222520933 * TE); + ro[WS(ros, 2)] = FMA(KP623489801, TD, TB) + FNMA(KP900968867, TE, KP222520933 * TC); + ro[WS(ros, 4)] = FMA(KP623489801, TE, TB) + FNMA(KP222520933, TD, KP900968867 * TC); + ro[0] = TB + TC + TE + TD; + } + } +} + +static const kr2hc_desc desc = { 14, "r2hc_14", {38, 12, 24, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_14) (planner *p) { + X(kr2hc_register) (p, r2hc_14, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_15.c b/src/fftw3/rdft/codelets/r2hc/r2hc_15.c new file mode 100644 index 0000000..71c4aba --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_15.c @@ -0,0 +1,168 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:42 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 15 -name r2hc_15 -include r2hc.h */ + +/* + * This function contains 64 FP additions, 25 FP multiplications, + * (or, 50 additions, 11 multiplications, 14 fused multiply/add), + * 47 stack variables, and 30 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_15.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_15(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP484122918, +0.484122918275927110647408174972799951354115213); + DK(KP216506350, +0.216506350946109661690930792688234045867850657); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP509036960, +0.509036960455127183450980863393907648510733164); + DK(KP823639103, +0.823639103546331925877420039278190003029660514); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E Ti, TR, TL, TD, TE, T7, Te, Tf, TV, TW, TX, Tv, Ty, TH, To; + E Tr, TG, TS, TT, TU; + { + E TJ, Tg, Th, TK; + TJ = I[0]; + Tg = I[WS(is, 10)]; + Th = I[WS(is, 5)]; + TK = Th + Tg; + Ti = Tg - Th; + TR = TJ + TK; + TL = FNMS(KP500000000, TK, TJ); + } + { + E Tm, Tt, Tw, Tp, T3, Tx, Ta, Tn, Td, Tq, T6, Tu; + Tm = I[WS(is, 3)]; + Tt = I[WS(is, 6)]; + Tw = I[WS(is, 9)]; + Tp = I[WS(is, 12)]; + { + E T1, T2, T8, T9; + T1 = I[WS(is, 14)]; + T2 = I[WS(is, 4)]; + T3 = T1 - T2; + Tx = T1 + T2; + T8 = I[WS(is, 13)]; + T9 = I[WS(is, 8)]; + Ta = T8 - T9; + Tn = T9 + T8; + } + { + E Tb, Tc, T4, T5; + Tb = I[WS(is, 7)]; + Tc = I[WS(is, 2)]; + Td = Tb - Tc; + Tq = Tc + Tb; + T4 = I[WS(is, 1)]; + T5 = I[WS(is, 11)]; + T6 = T4 - T5; + Tu = T5 + T4; + } + TD = Ta - Td; + TE = T6 + T3; + T7 = T3 - T6; + Te = Ta + Td; + Tf = T7 - Te; + TV = Tt + Tu; + TW = Tw + Tx; + TX = TV + TW; + Tv = FNMS(KP500000000, Tu, Tt); + Ty = FNMS(KP500000000, Tx, Tw); + TH = Tv + Ty; + To = FNMS(KP500000000, Tn, Tm); + Tr = FNMS(KP500000000, Tq, Tp); + TG = To + Tr; + TS = Tm + Tn; + TT = Tp + Tq; + TU = TS + TT; + } + io[WS(ios, 5)] = KP866025403 * (Tf - Ti); + { + E TF, TP, TI, TM, TN, TQ, TO; + TF = FMA(KP823639103, TD, KP509036960 * TE); + TP = FNMS(KP509036960, TD, KP823639103 * TE); + TI = KP559016994 * (TG - TH); + TM = TG + TH; + TN = FNMS(KP250000000, TM, TL); + ro[WS(ros, 5)] = TL + TM; + TQ = TN - TI; + ro[WS(ros, 2)] = TP + TQ; + ro[WS(ros, 7)] = TQ - TP; + TO = TI + TN; + ro[WS(ros, 1)] = TF + TO; + ro[WS(ros, 4)] = TO - TF; + } + { + E T11, T12, T10, TY, TZ; + T11 = TS - TT; + T12 = TW - TV; + io[WS(ios, 3)] = FMA(KP587785252, T11, KP951056516 * T12); + io[WS(ios, 6)] = FNMS(KP951056516, T11, KP587785252 * T12); + T10 = KP559016994 * (TU - TX); + TY = TU + TX; + TZ = FNMS(KP250000000, TY, TR); + ro[WS(ros, 3)] = TZ - T10; + ro[0] = TR + TY; + ro[WS(ros, 6)] = T10 + TZ; + { + E Tl, TB, TA, TC; + { + E Tj, Tk, Ts, Tz; + Tj = FMA(KP866025403, Ti, KP216506350 * Tf); + Tk = KP484122918 * (Te + T7); + Tl = Tj + Tk; + TB = Tk - Tj; + Ts = To - Tr; + Tz = Tv - Ty; + TA = FMA(KP951056516, Ts, KP587785252 * Tz); + TC = FNMS(KP587785252, Ts, KP951056516 * Tz); + } + io[WS(ios, 1)] = Tl - TA; + io[WS(ios, 7)] = TC - TB; + io[WS(ios, 4)] = Tl + TA; + io[WS(ios, 2)] = TB + TC; + } + } + } +} + +static const kr2hc_desc desc = { 15, "r2hc_15", {50, 11, 14, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_15) (planner *p) { + X(kr2hc_register) (p, r2hc_15, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_16.c b/src/fftw3/rdft/codelets/r2hc/r2hc_16.c new file mode 100644 index 0000000..e28d6d5 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_16.c @@ -0,0 +1,159 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:43 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 16 -name r2hc_16 -include r2hc.h */ + +/* + * This function contains 58 FP additions, 12 FP multiplications, + * (or, 54 additions, 8 multiplications, 4 fused multiply/add), + * 34 stack variables, and 32 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_16.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_16(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T3, T6, T7, Tz, Ti, Ta, Td, Te, TA, Th, Tq, TV, TF, TP, Tx; + E TU, TE, TM, Tg, Tf, TJ, TQ; + { + E T1, T2, T4, T5; + T1 = I[0]; + T2 = I[WS(is, 8)]; + T3 = T1 + T2; + T4 = I[WS(is, 4)]; + T5 = I[WS(is, 12)]; + T6 = T4 + T5; + T7 = T3 + T6; + Tz = T1 - T2; + Ti = T4 - T5; + } + { + E T8, T9, Tb, Tc; + T8 = I[WS(is, 2)]; + T9 = I[WS(is, 10)]; + Ta = T8 + T9; + Tg = T8 - T9; + Tb = I[WS(is, 14)]; + Tc = I[WS(is, 6)]; + Td = Tb + Tc; + Tf = Tb - Tc; + } + Te = Ta + Td; + TA = KP707106781 * (Tg + Tf); + Th = KP707106781 * (Tf - Tg); + { + E Tm, TN, Tp, TO; + { + E Tk, Tl, Tn, To; + Tk = I[WS(is, 15)]; + Tl = I[WS(is, 7)]; + Tm = Tk - Tl; + TN = Tk + Tl; + Tn = I[WS(is, 3)]; + To = I[WS(is, 11)]; + Tp = Tn - To; + TO = Tn + To; + } + Tq = FNMS(KP923879532, Tp, KP382683432 * Tm); + TV = TN + TO; + TF = FMA(KP923879532, Tm, KP382683432 * Tp); + TP = TN - TO; + } + { + E Tt, TK, Tw, TL; + { + E Tr, Ts, Tu, Tv; + Tr = I[WS(is, 1)]; + Ts = I[WS(is, 9)]; + Tt = Tr - Ts; + TK = Tr + Ts; + Tu = I[WS(is, 5)]; + Tv = I[WS(is, 13)]; + Tw = Tu - Tv; + TL = Tu + Tv; + } + Tx = FMA(KP382683432, Tt, KP923879532 * Tw); + TU = TK + TL; + TE = FNMS(KP382683432, Tw, KP923879532 * Tt); + TM = TK - TL; + } + ro[WS(ros, 4)] = T7 - Te; + io[WS(ios, 4)] = TV - TU; + { + E Tj, Ty, TD, TG; + Tj = Th - Ti; + Ty = Tq - Tx; + io[WS(ios, 1)] = Tj + Ty; + io[WS(ios, 7)] = Ty - Tj; + TD = Tz + TA; + TG = TE + TF; + ro[WS(ros, 7)] = TD - TG; + ro[WS(ros, 1)] = TD + TG; + } + { + E TB, TC, TH, TI; + TB = Tz - TA; + TC = Tx + Tq; + ro[WS(ros, 5)] = TB - TC; + ro[WS(ros, 3)] = TB + TC; + TH = Ti + Th; + TI = TF - TE; + io[WS(ios, 3)] = TH + TI; + io[WS(ios, 5)] = TI - TH; + } + TJ = T3 - T6; + TQ = KP707106781 * (TM + TP); + ro[WS(ros, 6)] = TJ - TQ; + ro[WS(ros, 2)] = TJ + TQ; + { + E TR, TS, TT, TW; + TR = Td - Ta; + TS = KP707106781 * (TP - TM); + io[WS(ios, 2)] = TR + TS; + io[WS(ios, 6)] = TS - TR; + TT = T7 + Te; + TW = TU + TV; + ro[WS(ros, 8)] = TT - TW; + ro[0] = TT + TW; + } + } +} + +static const kr2hc_desc desc = { 16, "r2hc_16", {54, 8, 4, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_16) (planner *p) { + X(kr2hc_register) (p, r2hc_16, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_2.c b/src/fftw3/rdft/codelets/r2hc/r2hc_2.c new file mode 100644 index 0000000..b0d8450 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_2.c @@ -0,0 +1,58 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:40 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 2 -name r2hc_2 -include r2hc.h */ + +/* + * This function contains 2 FP additions, 0 FP multiplications, + * (or, 2 additions, 0 multiplications, 0 fused multiply/add), + * 3 stack variables, and 4 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_2.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_2(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T2; + T1 = I[0]; + T2 = I[WS(is, 1)]; + ro[WS(ros, 1)] = T1 - T2; + ro[0] = T1 + T2; + } +} + +static const kr2hc_desc desc = { 2, "r2hc_2", {2, 0, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_2) (planner *p) { + X(kr2hc_register) (p, r2hc_2, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_3.c b/src/fftw3/rdft/codelets/r2hc/r2hc_3.c new file mode 100644 index 0000000..84041fc --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_3.c @@ -0,0 +1,63 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:40 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 3 -name r2hc_3 -include r2hc.h */ + +/* + * This function contains 4 FP additions, 2 FP multiplications, + * (or, 3 additions, 1 multiplications, 1 fused multiply/add), + * 7 stack variables, and 6 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_3.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_3(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T2, T3, T4; + T1 = I[0]; + T2 = I[WS(is, 1)]; + T3 = I[WS(is, 2)]; + T4 = T2 + T3; + ro[WS(ros, 1)] = FNMS(KP500000000, T4, T1); + io[WS(ios, 1)] = KP866025403 * (T3 - T2); + ro[0] = T1 + T4; + } +} + +static const kr2hc_desc desc = { 3, "r2hc_3", {3, 1, 1, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_3) (planner *p) { + X(kr2hc_register) (p, r2hc_3, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_32.c b/src/fftw3/rdft/codelets/r2hc/r2hc_32.c new file mode 100644 index 0000000..b3e0a9d --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_32.c @@ -0,0 +1,320 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:44 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 32 -name r2hc_32 -include r2hc.h */ + +/* + * This function contains 156 FP additions, 42 FP multiplications, + * (or, 140 additions, 26 multiplications, 16 fused multiply/add), + * 54 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_32.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_32(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T7, T2b, Tv, T1l, Te, T2o, Ty, T1k, Tt, T2d, TF, T1h, Tm, T2c, TC; + E T1i, T1Z, T22, T2k, T2j, T1e, T1C, T19, T1B, T1S, T1V, T2h, T2g, TX, T1z; + E TS, T1y; + { + E T1, T2, T3, T4, T5, T6; + T1 = I[0]; + T2 = I[WS(is, 16)]; + T3 = T1 + T2; + T4 = I[WS(is, 8)]; + T5 = I[WS(is, 24)]; + T6 = T4 + T5; + T7 = T3 + T6; + T2b = T3 - T6; + Tv = T1 - T2; + T1l = T4 - T5; + } + { + E Ta, Tw, Td, Tx; + { + E T8, T9, Tb, Tc; + T8 = I[WS(is, 4)]; + T9 = I[WS(is, 20)]; + Ta = T8 + T9; + Tw = T8 - T9; + Tb = I[WS(is, 28)]; + Tc = I[WS(is, 12)]; + Td = Tb + Tc; + Tx = Tb - Tc; + } + Te = Ta + Td; + T2o = Td - Ta; + Ty = KP707106781 * (Tw + Tx); + T1k = KP707106781 * (Tx - Tw); + } + { + E Tp, TD, Ts, TE; + { + E Tn, To, Tq, Tr; + Tn = I[WS(is, 30)]; + To = I[WS(is, 14)]; + Tp = Tn + To; + TD = Tn - To; + Tq = I[WS(is, 6)]; + Tr = I[WS(is, 22)]; + Ts = Tq + Tr; + TE = Tq - Tr; + } + Tt = Tp + Ts; + T2d = Tp - Ts; + TF = FMA(KP923879532, TD, KP382683432 * TE); + T1h = FNMS(KP923879532, TE, KP382683432 * TD); + } + { + E Ti, TA, Tl, TB; + { + E Tg, Th, Tj, Tk; + Tg = I[WS(is, 2)]; + Th = I[WS(is, 18)]; + Ti = Tg + Th; + TA = Tg - Th; + Tj = I[WS(is, 10)]; + Tk = I[WS(is, 26)]; + Tl = Tj + Tk; + TB = Tj - Tk; + } + Tm = Ti + Tl; + T2c = Ti - Tl; + TC = FNMS(KP382683432, TB, KP923879532 * TA); + T1i = FMA(KP382683432, TA, KP923879532 * TB); + } + { + E T11, T1X, T1d, T1Y, T14, T20, T17, T21, T1a, T18; + { + E TZ, T10, T1b, T1c; + TZ = I[WS(is, 31)]; + T10 = I[WS(is, 15)]; + T11 = TZ - T10; + T1X = TZ + T10; + T1b = I[WS(is, 7)]; + T1c = I[WS(is, 23)]; + T1d = T1b - T1c; + T1Y = T1b + T1c; + } + { + E T12, T13, T15, T16; + T12 = I[WS(is, 3)]; + T13 = I[WS(is, 19)]; + T14 = T12 - T13; + T20 = T12 + T13; + T15 = I[WS(is, 27)]; + T16 = I[WS(is, 11)]; + T17 = T15 - T16; + T21 = T15 + T16; + } + T1Z = T1X + T1Y; + T22 = T20 + T21; + T2k = T21 - T20; + T2j = T1X - T1Y; + T1a = KP707106781 * (T17 - T14); + T1e = T1a - T1d; + T1C = T1d + T1a; + T18 = KP707106781 * (T14 + T17); + T19 = T11 + T18; + T1B = T11 - T18; + } + { + E TK, T1Q, TW, T1R, TN, T1T, TQ, T1U, TT, TR; + { + E TI, TJ, TU, TV; + TI = I[WS(is, 1)]; + TJ = I[WS(is, 17)]; + TK = TI - TJ; + T1Q = TI + TJ; + TU = I[WS(is, 9)]; + TV = I[WS(is, 25)]; + TW = TU - TV; + T1R = TU + TV; + } + { + E TL, TM, TO, TP; + TL = I[WS(is, 5)]; + TM = I[WS(is, 21)]; + TN = TL - TM; + T1T = TL + TM; + TO = I[WS(is, 29)]; + TP = I[WS(is, 13)]; + TQ = TO - TP; + T1U = TO + TP; + } + T1S = T1Q + T1R; + T1V = T1T + T1U; + T2h = T1U - T1T; + T2g = T1Q - T1R; + TT = KP707106781 * (TQ - TN); + TX = TT - TW; + T1z = TW + TT; + TR = KP707106781 * (TN + TQ); + TS = TK + TR; + T1y = TK - TR; + } + { + E Tf, Tu, T27, T28, T29, T2a; + Tf = T7 + Te; + Tu = Tm + Tt; + T27 = Tf + Tu; + T28 = T1S + T1V; + T29 = T1Z + T22; + T2a = T28 + T29; + ro[WS(ros, 8)] = Tf - Tu; + io[WS(ios, 8)] = T29 - T28; + ro[WS(ros, 16)] = T27 - T2a; + ro[0] = T27 + T2a; + } + { + E T1P, T25, T24, T26, T1W, T23; + T1P = T7 - Te; + T25 = Tt - Tm; + T1W = T1S - T1V; + T23 = T1Z - T22; + T24 = KP707106781 * (T1W + T23); + T26 = KP707106781 * (T23 - T1W); + ro[WS(ros, 12)] = T1P - T24; + io[WS(ios, 12)] = T26 - T25; + ro[WS(ros, 4)] = T1P + T24; + io[WS(ios, 4)] = T25 + T26; + } + { + E T2f, T2v, T2p, T2r, T2m, T2q, T2u, T2w, T2e, T2n; + T2e = KP707106781 * (T2c + T2d); + T2f = T2b + T2e; + T2v = T2b - T2e; + T2n = KP707106781 * (T2d - T2c); + T2p = T2n - T2o; + T2r = T2o + T2n; + { + E T2i, T2l, T2s, T2t; + T2i = FMA(KP923879532, T2g, KP382683432 * T2h); + T2l = FNMS(KP382683432, T2k, KP923879532 * T2j); + T2m = T2i + T2l; + T2q = T2l - T2i; + T2s = FNMS(KP382683432, T2g, KP923879532 * T2h); + T2t = FMA(KP382683432, T2j, KP923879532 * T2k); + T2u = T2s + T2t; + T2w = T2t - T2s; + } + ro[WS(ros, 14)] = T2f - T2m; + io[WS(ios, 14)] = T2u - T2r; + ro[WS(ros, 2)] = T2f + T2m; + io[WS(ios, 2)] = T2r + T2u; + io[WS(ios, 6)] = T2p + T2q; + ro[WS(ros, 6)] = T2v + T2w; + io[WS(ios, 10)] = T2q - T2p; + ro[WS(ros, 10)] = T2v - T2w; + } + { + E TH, T1t, T1s, T1u, T1g, T1o, T1n, T1p; + { + E Tz, TG, T1q, T1r; + Tz = Tv + Ty; + TG = TC + TF; + TH = Tz + TG; + T1t = Tz - TG; + T1q = FNMS(KP195090322, TS, KP980785280 * TX); + T1r = FMA(KP195090322, T19, KP980785280 * T1e); + T1s = T1q + T1r; + T1u = T1r - T1q; + } + { + E TY, T1f, T1j, T1m; + TY = FMA(KP980785280, TS, KP195090322 * TX); + T1f = FNMS(KP195090322, T1e, KP980785280 * T19); + T1g = TY + T1f; + T1o = T1f - TY; + T1j = T1h - T1i; + T1m = T1k - T1l; + T1n = T1j - T1m; + T1p = T1m + T1j; + } + ro[WS(ros, 15)] = TH - T1g; + io[WS(ios, 15)] = T1s - T1p; + ro[WS(ros, 1)] = TH + T1g; + io[WS(ios, 1)] = T1p + T1s; + io[WS(ios, 7)] = T1n + T1o; + ro[WS(ros, 7)] = T1t + T1u; + io[WS(ios, 9)] = T1o - T1n; + ro[WS(ros, 9)] = T1t - T1u; + } + { + E T1x, T1N, T1M, T1O, T1E, T1I, T1H, T1J; + { + E T1v, T1w, T1K, T1L; + T1v = Tv - Ty; + T1w = T1i + T1h; + T1x = T1v + T1w; + T1N = T1v - T1w; + T1K = FNMS(KP555570233, T1y, KP831469612 * T1z); + T1L = FMA(KP555570233, T1B, KP831469612 * T1C); + T1M = T1K + T1L; + T1O = T1L - T1K; + } + { + E T1A, T1D, T1F, T1G; + T1A = FMA(KP831469612, T1y, KP555570233 * T1z); + T1D = FNMS(KP555570233, T1C, KP831469612 * T1B); + T1E = T1A + T1D; + T1I = T1D - T1A; + T1F = TF - TC; + T1G = T1l + T1k; + T1H = T1F - T1G; + T1J = T1G + T1F; + } + ro[WS(ros, 13)] = T1x - T1E; + io[WS(ios, 13)] = T1M - T1J; + ro[WS(ros, 3)] = T1x + T1E; + io[WS(ios, 3)] = T1J + T1M; + io[WS(ios, 5)] = T1H + T1I; + ro[WS(ros, 5)] = T1N + T1O; + io[WS(ios, 11)] = T1I - T1H; + ro[WS(ros, 11)] = T1N - T1O; + } + } +} + +static const kr2hc_desc desc = { 32, "r2hc_32", {140, 26, 16, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_32) (planner *p) { + X(kr2hc_register) (p, r2hc_32, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_4.c b/src/fftw3/rdft/codelets/r2hc/r2hc_4.c new file mode 100644 index 0000000..0ef1567 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_4.c @@ -0,0 +1,64 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:40 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 4 -name r2hc_4 -include r2hc.h */ + +/* + * This function contains 6 FP additions, 0 FP multiplications, + * (or, 6 additions, 0 multiplications, 0 fused multiply/add), + * 7 stack variables, and 8 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_4.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_4(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T2, T3, T4, T5, T6; + T1 = I[0]; + T2 = I[WS(is, 2)]; + T3 = T1 + T2; + T4 = I[WS(is, 1)]; + T5 = I[WS(is, 3)]; + T6 = T4 + T5; + ro[WS(ros, 1)] = T1 - T2; + io[WS(ios, 1)] = T5 - T4; + ro[WS(ros, 2)] = T3 - T6; + ro[0] = T3 + T6; + } +} + +static const kr2hc_desc desc = { 4, "r2hc_4", {6, 0, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_4) (planner *p) { + X(kr2hc_register) (p, r2hc_4, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_5.c b/src/fftw3/rdft/codelets/r2hc/r2hc_5.c new file mode 100644 index 0000000..14f4849 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_5.c @@ -0,0 +1,78 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:40 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 5 -name r2hc_5 -include r2hc.h */ + +/* + * This function contains 12 FP additions, 6 FP multiplications, + * (or, 9 additions, 3 multiplications, 3 fused multiply/add), + * 17 stack variables, and 10 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_5.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_5(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP250000000, +0.250000000000000000000000000000000000000000000); + DK(KP559016994, +0.559016994374947424102293417182819058860154590); + DK(KP587785252, +0.587785252292473129168705954639072768597652438); + DK(KP951056516, +0.951056516295153572116439333379382143405698634); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E Ta, T7, T8, T3, Tb, T6, T9, Tc; + Ta = I[0]; + { + E T1, T2, T4, T5; + T1 = I[WS(is, 4)]; + T2 = I[WS(is, 1)]; + T7 = T2 + T1; + T4 = I[WS(is, 2)]; + T5 = I[WS(is, 3)]; + T8 = T4 + T5; + T3 = T1 - T2; + Tb = T7 + T8; + T6 = T4 - T5; + } + io[WS(ios, 1)] = FNMS(KP587785252, T6, KP951056516 * T3); + ro[0] = Ta + Tb; + io[WS(ios, 2)] = FMA(KP587785252, T3, KP951056516 * T6); + T9 = KP559016994 * (T7 - T8); + Tc = FNMS(KP250000000, Tb, Ta); + ro[WS(ros, 1)] = T9 + Tc; + ro[WS(ros, 2)] = Tc - T9; + } +} + +static const kr2hc_desc desc = { 5, "r2hc_5", {9, 3, 3, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_5) (planner *p) { + X(kr2hc_register) (p, r2hc_5, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_6.c b/src/fftw3/rdft/codelets/r2hc/r2hc_6.c new file mode 100644 index 0000000..5fadce3 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_6.c @@ -0,0 +1,79 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:40 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 6 -name r2hc_6 -include r2hc.h */ + +/* + * This function contains 14 FP additions, 4 FP multiplications, + * (or, 12 additions, 2 multiplications, 2 fused multiply/add), + * 17 stack variables, and 12 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_6.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_6(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T3, Td, T9, Tc, T6, Tb, T1, T2, Ta, Te; + T1 = I[0]; + T2 = I[WS(is, 3)]; + T3 = T1 - T2; + Td = T1 + T2; + { + E T7, T8, T4, T5; + T7 = I[WS(is, 4)]; + T8 = I[WS(is, 1)]; + T9 = T7 - T8; + Tc = T7 + T8; + T4 = I[WS(is, 2)]; + T5 = I[WS(is, 5)]; + T6 = T4 - T5; + Tb = T4 + T5; + } + io[WS(ios, 1)] = KP866025403 * (T9 - T6); + Ta = T6 + T9; + ro[WS(ros, 1)] = FNMS(KP500000000, Ta, T3); + ro[WS(ros, 3)] = T3 + Ta; + io[WS(ios, 2)] = KP866025403 * (Tb - Tc); + Te = Tb + Tc; + ro[WS(ros, 2)] = FNMS(KP500000000, Te, Td); + ro[0] = Td + Te; + } +} + +static const kr2hc_desc desc = { 6, "r2hc_6", {12, 2, 2, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_6) (planner *p) { + X(kr2hc_register) (p, r2hc_6, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_7.c b/src/fftw3/rdft/codelets/r2hc/r2hc_7.c new file mode 100644 index 0000000..8548e93 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_7.c @@ -0,0 +1,83 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:41 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 7 -name r2hc_7 -include r2hc.h */ + +/* + * This function contains 24 FP additions, 18 FP multiplications, + * (or, 12 additions, 6 multiplications, 12 fused multiply/add), + * 20 stack variables, and 14 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_7.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_7(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP222520933, +0.222520933956314404288902564496794759466355569); + DK(KP900968867, +0.900968867902419126236102319507445051165919162); + DK(KP623489801, +0.623489801858733530525004884004239810632274731); + DK(KP433883739, +0.433883739117558120475768332848358754609990728); + DK(KP781831482, +0.781831482468029808708444526674057750232334519); + DK(KP974927912, +0.974927912181823607018131682993931217232785801); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, Ta, Tb, T4, Td, T7, Tc, T8, T9; + T1 = I[0]; + T8 = I[WS(is, 1)]; + T9 = I[WS(is, 6)]; + Ta = T8 + T9; + Tb = T9 - T8; + { + E T2, T3, T5, T6; + T2 = I[WS(is, 2)]; + T3 = I[WS(is, 5)]; + T4 = T2 + T3; + Td = T3 - T2; + T5 = I[WS(is, 3)]; + T6 = I[WS(is, 4)]; + T7 = T5 + T6; + Tc = T6 - T5; + } + io[WS(ios, 2)] = FNMS(KP781831482, Tc, KP974927912 * Tb) - (KP433883739 * Td); + io[WS(ios, 1)] = FMA(KP781831482, Tb, KP974927912 * Td) + (KP433883739 * Tc); + ro[WS(ros, 2)] = FMA(KP623489801, T7, T1) + FNMA(KP900968867, T4, KP222520933 * Ta); + io[WS(ios, 3)] = FMA(KP433883739, Tb, KP974927912 * Tc) - (KP781831482 * Td); + ro[WS(ros, 3)] = FMA(KP623489801, T4, T1) + FNMA(KP222520933, T7, KP900968867 * Ta); + ro[WS(ros, 1)] = FMA(KP623489801, Ta, T1) + FNMA(KP900968867, T7, KP222520933 * T4); + ro[0] = T1 + Ta + T4 + T7; + } +} + +static const kr2hc_desc desc = { 7, "r2hc_7", {12, 6, 12, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_7) (planner *p) { + X(kr2hc_register) (p, r2hc_7, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_8.c b/src/fftw3/rdft/codelets/r2hc/r2hc_8.c new file mode 100644 index 0000000..b502b94 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_8.c @@ -0,0 +1,92 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:41 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 8 -name r2hc_8 -include r2hc.h */ + +/* + * This function contains 20 FP additions, 2 FP multiplications, + * (or, 20 additions, 2 multiplications, 0 fused multiply/add), + * 14 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_8.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_8(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T3, T7, Td, Tj, T6, Tg, Ta, Ti; + { + E T1, T2, Tb, Tc; + T1 = I[0]; + T2 = I[WS(is, 4)]; + T3 = T1 + T2; + T7 = T1 - T2; + Tb = I[WS(is, 7)]; + Tc = I[WS(is, 3)]; + Td = Tb - Tc; + Tj = Tb + Tc; + } + { + E T4, T5, T8, T9; + T4 = I[WS(is, 2)]; + T5 = I[WS(is, 6)]; + T6 = T4 + T5; + Tg = T4 - T5; + T8 = I[WS(is, 1)]; + T9 = I[WS(is, 5)]; + Ta = T8 - T9; + Ti = T8 + T9; + } + ro[WS(ros, 2)] = T3 - T6; + io[WS(ios, 2)] = Tj - Ti; + { + E Te, Tf, Th, Tk; + Te = KP707106781 * (Ta + Td); + ro[WS(ros, 3)] = T7 - Te; + ro[WS(ros, 1)] = T7 + Te; + Tf = KP707106781 * (Td - Ta); + io[WS(ios, 1)] = Tf - Tg; + io[WS(ios, 3)] = Tg + Tf; + Th = T3 + T6; + Tk = Ti + Tj; + ro[WS(ros, 4)] = Th - Tk; + ro[0] = Th + Tk; + } + } +} + +static const kr2hc_desc desc = { 8, "r2hc_8", {20, 2, 0, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_8) (planner *p) { + X(kr2hc_register) (p, r2hc_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/r2hc_9.c b/src/fftw3/rdft/codelets/r2hc/r2hc_9.c new file mode 100644 index 0000000..df3808f --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/r2hc_9.c @@ -0,0 +1,115 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:56:40 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2hc -compact -variables 4 -n 9 -name r2hc_9 -include r2hc.h */ + +/* + * This function contains 38 FP additions, 26 FP multiplications, + * (or, 21 additions, 9 multiplications, 17 fused multiply/add), + * 36 stack variables, and 18 memory accesses + */ +/* + * Generator Id's : + * $Id: r2hc_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + * $Id: r2hc_9.c,v 1.1 2008/10/17 06:12:34 scuri Exp $ + */ + +#include "r2hc.h" + +static void r2hc_9(const R *I, R *ro, R *io, stride is, stride ros, stride ios, int v, int ivs, int ovs) +{ + DK(KP939692620, +0.939692620785908384054109277324731469936208134); + DK(KP296198132, +0.296198132726023843175338011893050938967728390); + DK(KP342020143, +0.342020143325668733044099614682259580763083368); + DK(KP813797681, +0.813797681349373692844693217248393223289101568); + DK(KP984807753, +0.984807753012208059366743024589523013670643252); + DK(KP150383733, +0.150383733180435296639271897612501926072238258); + DK(KP642787609, +0.642787609686539326322643409907263432907559884); + DK(KP663413948, +0.663413948168938396205421319635891297216863310); + DK(KP852868531, +0.852868531952443209628250963940074071936020296); + DK(KP173648177, +0.173648177666930348851716626769314796000375677); + DK(KP556670399, +0.556670399226419366452912952047023132968291906); + DK(KP766044443, +0.766044443118978035202392650555416673935832457); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, I = I + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T4, Tr, Ta, Tl, Ti, Tf, Tk, Tj, T2, T3, T5, Tg; + T1 = I[0]; + T2 = I[WS(is, 3)]; + T3 = I[WS(is, 6)]; + T4 = T2 + T3; + Tr = T3 - T2; + { + E T6, T7, T8, T9; + T6 = I[WS(is, 1)]; + T7 = I[WS(is, 4)]; + T8 = I[WS(is, 7)]; + T9 = T7 + T8; + Ta = T6 + T9; + Tl = T8 - T7; + Ti = FNMS(KP500000000, T9, T6); + } + { + E Tb, Tc, Td, Te; + Tb = I[WS(is, 2)]; + Tc = I[WS(is, 5)]; + Td = I[WS(is, 8)]; + Te = Tc + Td; + Tf = Tb + Te; + Tk = FNMS(KP500000000, Te, Tb); + Tj = Td - Tc; + } + io[WS(ios, 3)] = KP866025403 * (Tf - Ta); + T5 = T1 + T4; + Tg = Ta + Tf; + ro[WS(ros, 3)] = FNMS(KP500000000, Tg, T5); + ro[0] = T5 + Tg; + { + E Tt, Th, Tm, Tn, To, Tp, Tq, Ts; + Tt = KP866025403 * Tr; + Th = FNMS(KP500000000, T4, T1); + Tm = FMA(KP766044443, Ti, KP556670399 * Tl); + Tn = FMA(KP173648177, Tk, KP852868531 * Tj); + To = Tm + Tn; + Tp = FNMS(KP642787609, Ti, KP663413948 * Tl); + Tq = FNMS(KP984807753, Tk, KP150383733 * Tj); + Ts = Tp + Tq; + ro[WS(ros, 1)] = Th + To; + io[WS(ios, 1)] = Tt + Ts; + ro[WS(ros, 4)] = FMA(KP866025403, Tp - Tq, Th) - (KP500000000 * To); + io[WS(ios, 4)] = FNMS(KP500000000, Ts, KP866025403 * (Tr + (Tn - Tm))); + io[WS(ios, 2)] = FNMS(KP342020143, Tk, KP813797681 * Tj) + FNMA(KP150383733, Tl, KP984807753 * Ti) - Tt; + ro[WS(ros, 2)] = FMA(KP173648177, Ti, Th) + FNMA(KP296198132, Tj, KP939692620 * Tk) - (KP852868531 * Tl); + } + } +} + +static const kr2hc_desc desc = { 9, "r2hc_9", {21, 9, 17, 0}, &GENUS, 0, 0, 0, 0, 0 }; + +void X(codelet_r2hc_9) (planner *p) { + X(kr2hc_register) (p, r2hc_9, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2hc/rhcodlist.c b/src/fftw3/rdft/codelets/r2hc/rhcodlist.c new file mode 100644 index 0000000..a4ac1bc --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hc/rhcodlist.c @@ -0,0 +1,114 @@ +#include "ifftw.h" + +extern void X(codelet_r2hc_2)(planner *); +extern void X(codelet_r2hc_3)(planner *); +extern void X(codelet_r2hc_4)(planner *); +extern void X(codelet_r2hc_5)(planner *); +extern void X(codelet_r2hc_6)(planner *); +extern void X(codelet_r2hc_7)(planner *); +extern void X(codelet_r2hc_8)(planner *); +extern void X(codelet_r2hc_9)(planner *); +extern void X(codelet_r2hc_10)(planner *); +extern void X(codelet_r2hc_11)(planner *); +extern void X(codelet_r2hc_12)(planner *); +extern void X(codelet_r2hc_13)(planner *); +extern void X(codelet_r2hc_14)(planner *); +extern void X(codelet_r2hc_15)(planner *); +extern void X(codelet_r2hc_16)(planner *); +extern void X(codelet_r2hc_32)(planner *); +extern void X(codelet_mr2hc_32)(planner *); +extern void X(codelet_mr2hc_64)(planner *); +extern void X(codelet_mr2hc_128)(planner *); +extern void X(codelet_hf_2)(planner *); +extern void X(codelet_hf_3)(planner *); +extern void X(codelet_hf_4)(planner *); +extern void X(codelet_hf_5)(planner *); +extern void X(codelet_hf_6)(planner *); +extern void X(codelet_hf_7)(planner *); +extern void X(codelet_hf_8)(planner *); +extern void X(codelet_hf_9)(planner *); +extern void X(codelet_hf_10)(planner *); +extern void X(codelet_hf_12)(planner *); +extern void X(codelet_hf_15)(planner *); +extern void X(codelet_hf_16)(planner *); +extern void X(codelet_hf_32)(planner *); +extern void X(codelet_hf_64)(planner *); +extern void X(codelet_hf2_4)(planner *); +extern void X(codelet_hf2_8)(planner *); +extern void X(codelet_hf2_16)(planner *); +extern void X(codelet_hf2_32)(planner *); +extern void X(codelet_hf2_64)(planner *); +extern void X(codelet_r2hcII_2)(planner *); +extern void X(codelet_r2hcII_3)(planner *); +extern void X(codelet_r2hcII_4)(planner *); +extern void X(codelet_r2hcII_5)(planner *); +extern void X(codelet_r2hcII_6)(planner *); +extern void X(codelet_r2hcII_7)(planner *); +extern void X(codelet_r2hcII_8)(planner *); +extern void X(codelet_r2hcII_9)(planner *); +extern void X(codelet_r2hcII_10)(planner *); +extern void X(codelet_r2hcII_12)(planner *); +extern void X(codelet_r2hcII_15)(planner *); +extern void X(codelet_r2hcII_16)(planner *); +extern void X(codelet_r2hcII_32)(planner *); +extern void X(codelet_mr2hcII_32)(planner *); +extern void X(codelet_mr2hcII_64)(planner *); + + +extern const solvtab X(solvtab_rdft_r2hc); +const solvtab X(solvtab_rdft_r2hc) = { + SOLVTAB(X(codelet_r2hc_2)), + SOLVTAB(X(codelet_r2hc_3)), + SOLVTAB(X(codelet_r2hc_4)), + SOLVTAB(X(codelet_r2hc_5)), + SOLVTAB(X(codelet_r2hc_6)), + SOLVTAB(X(codelet_r2hc_7)), + SOLVTAB(X(codelet_r2hc_8)), + SOLVTAB(X(codelet_r2hc_9)), + SOLVTAB(X(codelet_r2hc_10)), + SOLVTAB(X(codelet_r2hc_11)), + SOLVTAB(X(codelet_r2hc_12)), + SOLVTAB(X(codelet_r2hc_13)), + SOLVTAB(X(codelet_r2hc_14)), + SOLVTAB(X(codelet_r2hc_15)), + SOLVTAB(X(codelet_r2hc_16)), + SOLVTAB(X(codelet_r2hc_32)), + SOLVTAB(X(codelet_mr2hc_32)), + SOLVTAB(X(codelet_mr2hc_64)), + SOLVTAB(X(codelet_mr2hc_128)), + SOLVTAB(X(codelet_hf_2)), + SOLVTAB(X(codelet_hf_3)), + SOLVTAB(X(codelet_hf_4)), + SOLVTAB(X(codelet_hf_5)), + SOLVTAB(X(codelet_hf_6)), + SOLVTAB(X(codelet_hf_7)), + SOLVTAB(X(codelet_hf_8)), + SOLVTAB(X(codelet_hf_9)), + SOLVTAB(X(codelet_hf_10)), + SOLVTAB(X(codelet_hf_12)), + SOLVTAB(X(codelet_hf_15)), + SOLVTAB(X(codelet_hf_16)), + SOLVTAB(X(codelet_hf_32)), + SOLVTAB(X(codelet_hf_64)), + SOLVTAB(X(codelet_hf2_4)), + SOLVTAB(X(codelet_hf2_8)), + SOLVTAB(X(codelet_hf2_16)), + SOLVTAB(X(codelet_hf2_32)), + SOLVTAB(X(codelet_hf2_64)), + SOLVTAB(X(codelet_r2hcII_2)), + SOLVTAB(X(codelet_r2hcII_3)), + SOLVTAB(X(codelet_r2hcII_4)), + SOLVTAB(X(codelet_r2hcII_5)), + SOLVTAB(X(codelet_r2hcII_6)), + SOLVTAB(X(codelet_r2hcII_7)), + SOLVTAB(X(codelet_r2hcII_8)), + SOLVTAB(X(codelet_r2hcII_9)), + SOLVTAB(X(codelet_r2hcII_10)), + SOLVTAB(X(codelet_r2hcII_12)), + SOLVTAB(X(codelet_r2hcII_15)), + SOLVTAB(X(codelet_r2hcII_16)), + SOLVTAB(X(codelet_r2hcII_32)), + SOLVTAB(X(codelet_mr2hcII_32)), + SOLVTAB(X(codelet_mr2hcII_64)), + SOLVTAB_END +}; diff --git a/src/fftw3/rdft/codelets/r2hcII.h b/src/fftw3/rdft/codelets/r2hcII.h new file mode 100644 index 0000000..cb90935 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2hcII.h @@ -0,0 +1,23 @@ +/* + * 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 + * + */ + + +#define GENUS X(rdft_r2hcII_genus) +extern const kr2hcII_genus GENUS; diff --git a/src/fftw3/rdft/codelets/r2r.c b/src/fftw3/rdft/codelets/r2r.c new file mode 100644 index 0000000..18d9528 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2r.c @@ -0,0 +1,38 @@ +/* + * 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 "codelet-rdft.h" +#include "r2r.h" + +static int okp(const kr2r_desc *d, + const R *I, + const R *O, + int is, int os, int vl, int ivs, int ovs) +{ + UNUSED(I); UNUSED(O); UNUSED(vl); + return (1 + && (!d->is || (d->is == is)) + && (!d->os || (d->os == os)) + && (!d->ivs || (d->ivs == ivs)) + && (!d->ovs || (d->ovs == ovs)) + ); +} + +const kr2r_genus GENUS = { okp, 1 }; diff --git a/src/fftw3/rdft/codelets/r2r.h b/src/fftw3/rdft/codelets/r2r.h new file mode 100644 index 0000000..614427c --- /dev/null +++ b/src/fftw3/rdft/codelets/r2r.h @@ -0,0 +1,23 @@ +/* + * 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 + * + */ + + +#define GENUS X(rdft_r2r_genus) +extern const kr2r_genus GENUS; diff --git a/src/fftw3/rdft/codelets/r2r/e01_8.c b/src/fftw3/rdft/codelets/r2r/e01_8.c new file mode 100644 index 0000000..b48371c --- /dev/null +++ b/src/fftw3/rdft/codelets/r2r/e01_8.c @@ -0,0 +1,118 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:22:02 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2r -compact -variables 4 -redft01 -n 8 -name e01_8 -include r2r.h */ + +/* + * This function contains 26 FP additions, 15 FP multiplications, + * (or, 20 additions, 9 multiplications, 6 fused multiply/add), + * 27 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: e01_8.c,v 1.1 2008/10/17 06:13:17 scuri Exp $ + * $Id: e01_8.c,v 1.1 2008/10/17 06:13:17 scuri Exp $ + * $Id: e01_8.c,v 1.1 2008/10/17 06:13:17 scuri Exp $ + */ + +#include "r2r.h" + +static void e01_8_0(const R *I, R *O, stride istride, stride ostride) +{ + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + { + E T7, Tl, T4, Tk, Td, To, Tg, Tn; + { + E T5, T6, T1, T3, T2; + T5 = I[WS(istride, 2)]; + T6 = I[WS(istride, 6)]; + T7 = FMA(KP1_847759065, T5, KP765366864 * T6); + Tl = FNMS(KP1_847759065, T6, KP765366864 * T5); + T1 = I[0]; + T2 = I[WS(istride, 4)]; + T3 = KP1_414213562 * T2; + T4 = T1 + T3; + Tk = T1 - T3; + { + E T9, Tf, Tc, Te, Ta, Tb; + T9 = I[WS(istride, 1)]; + Tf = I[WS(istride, 7)]; + Ta = I[WS(istride, 5)]; + Tb = I[WS(istride, 3)]; + Tc = KP707106781 * (Ta + Tb); + Te = KP707106781 * (Ta - Tb); + Td = T9 + Tc; + To = Te + Tf; + Tg = Te - Tf; + Tn = T9 - Tc; + } + } + { + E T8, Th, Tq, Tr; + T8 = T4 + T7; + Th = FNMS(KP390180644, Tg, KP1_961570560 * Td); + O[WS(ostride, 7)] = T8 - Th; + O[0] = T8 + Th; + Tq = Tk - Tl; + Tr = FMA(KP1_111140466, Tn, KP1_662939224 * To); + O[WS(ostride, 5)] = Tq - Tr; + O[WS(ostride, 2)] = Tq + Tr; + } + { + E Ti, Tj, Tm, Tp; + Ti = T4 - T7; + Tj = FMA(KP390180644, Td, KP1_961570560 * Tg); + O[WS(ostride, 4)] = Ti - Tj; + O[WS(ostride, 3)] = Ti + Tj; + Tm = Tk + Tl; + Tp = FNMS(KP1_111140466, To, KP1_662939224 * Tn); + O[WS(ostride, 6)] = Tm - Tp; + O[WS(ostride, 1)] = Tm + Tp; + } + } +} + +static void e01_8(const R *I, R *O, stride is, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + e01_8_0(I, O, is, os); + I += ivs; + O += ovs; + } +} + +static const kr2r_desc desc = { 8, "e01_8", {20, 9, 6, 0}, &GENUS, REDFT01, 0, 0, 0, 0 }; + +void X(codelet_e01_8) (planner *p) { + X(kr2r_register) (p, e01_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2r/e10_8.c b/src/fftw3/rdft/codelets/r2r/e10_8.c new file mode 100644 index 0000000..6d7be49 --- /dev/null +++ b/src/fftw3/rdft/codelets/r2r/e10_8.c @@ -0,0 +1,118 @@ +/* + * 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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 22:22:02 EDT 2003 */ + +#include "codelet-rdft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_r2r -compact -variables 4 -redft10 -n 8 -name e10_8 -include r2r.h */ + +/* + * This function contains 26 FP additions, 16 FP multiplications, + * (or, 20 additions, 10 multiplications, 6 fused multiply/add), + * 27 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: e10_8.c,v 1.1 2008/10/17 06:13:17 scuri Exp $ + * $Id: e10_8.c,v 1.1 2008/10/17 06:13:17 scuri Exp $ + * $Id: e10_8.c,v 1.1 2008/10/17 06:13:17 scuri Exp $ + */ + +#include "r2r.h" + +static void e10_8_0(const R *I, R *O, stride istride, stride ostride) +{ + DK(KP765366864, +0.765366864730179543456919968060797733522689125); + DK(KP1_847759065, +1.847759065022573512256366378793576573644833252); + DK(KP390180644, +0.390180644032256535696569736954044481855383236); + DK(KP1_961570560, +1.961570560806460898252364472268478073947867462); + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP1_414213562, +1.414213562373095048801688724209698078569671875); + DK(KP1_111140466, +1.111140466039204449485661627897065748749874382); + DK(KP1_662939224, +1.662939224605090474157576755235811513477121624); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T3, Tj, Tf, Tk, Ta, Tn, Tc, Tm; + { + E T1, T2, Td, Te; + T1 = I[0]; + T2 = I[WS(istride, 7)]; + T3 = T1 - T2; + Tj = T1 + T2; + Td = I[WS(istride, 4)]; + Te = I[WS(istride, 3)]; + Tf = Td - Te; + Tk = Td + Te; + { + E T4, T5, T6, T7, T8, T9; + T4 = I[WS(istride, 2)]; + T5 = I[WS(istride, 5)]; + T6 = T4 - T5; + T7 = I[WS(istride, 1)]; + T8 = I[WS(istride, 6)]; + T9 = T7 - T8; + Ta = KP707106781 * (T6 + T9); + Tn = T7 + T8; + Tc = KP707106781 * (T6 - T9); + Tm = T4 + T5; + } + } + { + E Tb, Tg, Tp, Tq; + Tb = T3 - Ta; + Tg = Tc - Tf; + O[WS(ostride, 3)] = FNMS(KP1_111140466, Tg, KP1_662939224 * Tb); + O[WS(ostride, 5)] = FMA(KP1_662939224, Tg, KP1_111140466 * Tb); + Tp = Tj + Tk; + Tq = Tm + Tn; + O[WS(ostride, 4)] = KP1_414213562 * (Tp - Tq); + O[0] = KP2_000000000 * (Tp + Tq); + } + { + E Th, Ti, Tl, To; + Th = T3 + Ta; + Ti = Tf + Tc; + O[WS(ostride, 1)] = FNMS(KP390180644, Ti, KP1_961570560 * Th); + O[WS(ostride, 7)] = FMA(KP1_961570560, Ti, KP390180644 * Th); + Tl = Tj - Tk; + To = Tm - Tn; + O[WS(ostride, 2)] = FNMS(KP765366864, To, KP1_847759065 * Tl); + O[WS(ostride, 6)] = FMA(KP765366864, Tl, KP1_847759065 * To); + } + } +} + +static void e10_8(const R *I, R *O, stride is, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; --i) { + e10_8_0(I, O, is, os); + I += ivs; + O += ovs; + } +} + +static const kr2r_desc desc = { 8, "e10_8", {20, 10, 6, 0}, &GENUS, REDFT10, 0, 0, 0, 0 }; + +void X(codelet_e10_8) (planner *p) { + X(kr2r_register) (p, e10_8, &desc); +} diff --git a/src/fftw3/rdft/codelets/r2r/rrcodlist.c b/src/fftw3/rdft/codelets/r2r/rrcodlist.c new file mode 100644 index 0000000..28c1ebc --- /dev/null +++ b/src/fftw3/rdft/codelets/r2r/rrcodlist.c @@ -0,0 +1,12 @@ +#include "ifftw.h" + +extern void X(codelet_e01_8)(planner *); +extern void X(codelet_e10_8)(planner *); + + +extern const solvtab X(solvtab_rdft_r2r); +const solvtab X(solvtab_rdft_r2r) = { + SOLVTAB(X(codelet_e01_8)), + SOLVTAB(X(codelet_e10_8)), + SOLVTAB_END +}; diff --git a/src/fftw3/rdft/dft-r2hc.c b/src/fftw3/rdft/dft-r2hc.c new file mode 100644 index 0000000..10abf68 --- /dev/null +++ b/src/fftw3/rdft/dft-r2hc.c @@ -0,0 +1,187 @@ +/* + * 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 + * + */ + +/* $Id: dft-r2hc.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* Compute the complex DFT by combining R2HC RDFTs on the real + and imaginary parts. This could be useful for people just wanting + to link to the real codelets and not the complex ones. It could + also even be faster than the complex algorithms for split (as opposed + to interleaved) real/imag complex data. */ + +#include "rdft.h" +#include "dft.h" + +typedef struct { + solver super; +} S; + +typedef struct { + plan_dft super; + plan *cld; + int os; + int n; +} P; + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int os; + int i, n; + + UNUSED(ii); + + { /* transform vector of real & imag parts: */ + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, ri, ro); + } + + os = ego->os; + n = ego->n; + for (i = 1; i < (n + 1)/2; ++i) { + R rop, iop, iom, rom; + rop = ro[os * i]; + iop = io[os * i]; + rom = ro[os * (n - i)]; + iom = io[os * (n - i)]; + ro[os * i] = rop - iom; + io[os * i] = iop + rom; + ro[os * (n - i)] = rop + iom; + io[os * (n - i)] = iop - rom; + } +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + AWAKE(ego->cld, flg); +} + +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, "(dft-r2hc-%d%(%p%))", ego->n, ego->cld); +} + +#define ALLOW_RANK0 0 /* disable for now, subject to testing */ + +static int applicable0(const problem *p_) +{ + if (DFTP(p_)) { + const problem_dft *p = (const problem_dft *) p_; + return ((p->sz->rnk == 1 && p->vecsz->rnk == 0) +#if ALLOW_RANK0 + || p->sz->rnk == 0 +#endif + ); + } + + return 0; +} + +static int split(R *r, R *i, int n, int s) +{ + return ((r > i ? r - i : i - r) >= ((int)n) * (s > 0 ? s : -s)); +} + +static int applicable(const problem *p_, const planner *plnr) +{ + if (!applicable0(p_)) return 0; + + { + const problem_dft *p = (const problem_dft *) p_; + if (NO_UGLYP(plnr) && DFT_R2HC_ICKYP(plnr)) return 0; + + if (p->sz->rnk == 1 && + split(p->ri, p->ii, p->sz->dims[0].n, p->sz->dims[0].is) && + split(p->ro, p->io, p->sz->dims[0].n, p->sz->dims[0].os)) + return 1; + + return !(NO_UGLYP(plnr)); + } +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + P *pln; + const problem_dft *p; + plan *cld; + + static const plan_adt padt = { + X(dft_solve), awake, print, destroy + }; + + UNUSED(ego_); + if (!applicable(p_, plnr)) + return (plan *)0; + + p = (const problem_dft *) p_; + + { + tensor *ri_vec = X(mktensor_1d)(2, p->ii - p->ri, p->io - p->ro); + tensor *cld_vec = X(tensor_append)(ri_vec, p->vecsz); + cld = X(mkplan_d)(plnr, + X(mkproblem_rdft_1)(p->sz, cld_vec, + p->ri, p->ro, R2HC)); + X(tensor_destroy2)(ri_vec, cld_vec); + } + if (!cld) return (plan *)0; + + pln = MKPLAN_DFT(P, &padt, apply); + +#if ALLOW_RANK0 + if (p->sz->rnk == 0) { + pln->n = 1; + pln->os = 0; + } + else +#endif + { + pln->n = p->sz->dims[0].n; + pln->os = p->sz->dims[0].os; + } + + pln->cld = cld; + + pln->super.super.ops = cld->ops; + pln->super.super.ops.other += 8 * ((pln->n - 1)/2); + pln->super.super.ops.add += 4 * ((pln->n - 1)/2); + + return &(pln->super.super); +} + +/* constructor */ +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + return &(slv->super); +} + +void X(dft_r2hc_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/rdft/dht-r2hc.c b/src/fftw3/rdft/dht-r2hc.c new file mode 100644 index 0000000..e66e614 --- /dev/null +++ b/src/fftw3/rdft/dht-r2hc.c @@ -0,0 +1,148 @@ +/* + * 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 + * + */ + +/* $Id: dht-r2hc.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* Solve a DHT problem (Discrete Hartley Transform) via post-processing + of an R2HC problem. */ + +#include "rdft.h" + +typedef struct { + solver super; +} S; + +typedef struct { + plan_rdft super; + plan *cld; + int os; + int n; +} P; + +static void apply(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int os = ego->os; + int i, n = ego->n; + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } + + for (i = 1; i < n - i; ++i) { + E a, b; + a = O[os * i]; + b = O[os * (n - i)]; +#if FFT_SIGN == -1 + O[os * i] = a - b; + O[os * (n - i)] = a + b; +#else + O[os * i] = a + b; + O[os * (n - i)] = a - b; +#endif + } +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + AWAKE(ego->cld, flg); +} + +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, "(dht-r2hc-%d%(%p%))", ego->n, ego->cld); +} + +static int applicable0(const problem *p_, const planner *plnr) +{ + if (RDFTP(p_)) { + const problem_rdft *p = (const problem_rdft *) p_; + return (1 + && !NO_DHT_R2HCP(plnr) + && p->sz->rnk == 1 + && p->vecsz->rnk == 0 + && p->kind[0] == DHT + ); + } + return 0; +} + +static int applicable(const solver *ego, const problem *p, const planner *plnr) +{ + UNUSED(ego); + return (!NO_UGLYP(plnr) && applicable0(p, plnr)); +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + P *pln; + const problem_rdft *p; + plan *cld; + + static const plan_adt padt = { + X(rdft_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr)) + return (plan *)0; + + p = (const problem_rdft *) p_; + + /* stop infinite loops with rdft-dht.c */ + plnr->problem_flags |= NO_DHT_R2HC; + + cld = X(mkplan_d)(plnr, + X(mkproblem_rdft_1)(p->sz, p->vecsz, p->I, p->O, R2HC)); + if (!cld) return (plan *)0; + + pln = MKPLAN_RDFT(P, &padt, apply); + + pln->n = p->sz->dims[0].n; + pln->os = p->sz->dims[0].os; + pln->cld = cld; + + pln->super.super.ops = cld->ops; + pln->super.super.ops.other += 4 * ((pln->n - 1)/2); + pln->super.super.ops.add += 2 * ((pln->n - 1)/2); + + return &(pln->super.super); +} + +/* constructor */ +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + return &(slv->super); +} + +void X(dht_r2hc_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} 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()); +} diff --git a/src/fftw3/rdft/direct2.c b/src/fftw3/rdft/direct2.c new file mode 100644 index 0000000..29a1394 --- /dev/null +++ b/src/fftw3/rdft/direct2.c @@ -0,0 +1,216 @@ +/* + * 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 + * + */ + +/* $Id: direct2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* direct RDFT2 R2HC/HC2R solver, if we have a codelet */ + +#include "rdft.h" + +typedef union { + kr2hc r2hc; + khc2r hc2r; +} kodelet; + +typedef struct { + solver super; + union { + const kr2hc_desc *r2hc; + const khc2r_desc *hc2r; + } desc; + kodelet k; + int sz; + rdft_kind kind; + const char *nam; +} S; + +typedef struct { + plan_rdft2 super; + + stride is, os; + int vl; + int ivs, ovs; + kodelet k; + const S *slv; + int ilast; +} P; + +static void apply_r2hc(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + int i, vl = ego->vl, ovs = ego->ovs; + ASSERT_ALIGNED_DOUBLE; + ego->k.r2hc(r, rio, iio, ego->is, ego->os, ego->os, + vl, ego->ivs, ovs); + for (i = 0; i < vl; ++i, iio += ovs) + iio[0] = iio[ego->ilast] = 0; +} + +static void apply_hc2r(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + ASSERT_ALIGNED_DOUBLE; + ego->k.hc2r(rio, iio, r, ego->os, ego->os, ego->is, + ego->vl, ego->ivs, ego->ovs); +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + X(stride_destroy)(ego->is); + X(stride_destroy)(ego->os); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + const S *s = ego->slv; + + p->print(p, "(rdft2-%s-direct-%d%v \"%s\")", + X(rdft_kind_str)(s->kind), s->sz, ego->vl, s->nam); +} + +static int applicable(const solver *ego_, const problem *p_) +{ + if (RDFT2P(p_)) { + const S *ego = (const S *) ego_; + const problem_rdft2 *p = (const problem_rdft2 *) p_; + int vl; + int ivs, ovs; + + return ( + 1 + && p->sz->rnk == 1 + && p->vecsz->rnk <= 1 + && p->sz->dims[0].n == ego->sz + && p->kind == ego->kind + + /* check strides etc */ + && X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs) + + && (ego->kind != R2HC || + ego->desc.r2hc->genus->okp(ego->desc.r2hc, + p->r, p->rio, p->rio, + p->sz->dims[0].is, + p->sz->dims[0].os, + p->sz->dims[0].os, + vl, ivs, ovs)) + && (ego->kind != HC2R || + ego->desc.hc2r->genus->okp(ego->desc.hc2r, + p->rio, p->rio, p->r, + p->sz->dims[0].is, + p->sz->dims[0].is, + p->sz->dims[0].os, + vl, ivs, ovs)) + + && (0 + /* can operate out-of-place */ + || p->r != p->rio + + /* + * can compute one transform in-place, no matter + * what the strides are. + */ + || p->vecsz->rnk == 0 + + /* can operate in-place as long as strides are the same */ + || X(rdft2_inplace_strides)(p, RNK_MINFTY) + ) + ); + } + + return 0; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + P *pln; + const problem_rdft2 *p; + iodim d; + int r2hc_kindp; + + static const plan_adt padt = { + X(rdft2_solve), X(null_awake), print, destroy + }; + + UNUSED(plnr); + + if (!applicable(ego_, p_)) + return (plan *)0; + + p = (const problem_rdft2 *) p_; + + r2hc_kindp = p->kind == R2HC; + A(r2hc_kindp || p->kind == HC2R); + + pln = MKPLAN_RDFT2(P, &padt, r2hc_kindp ? apply_r2hc : apply_hc2r); + + d = p->sz->dims[0]; + + pln->k = ego->k; + + pln->is = X(mkstride)(ego->sz, r2hc_kindp ? d.is : d.os); + pln->os = X(mkstride)(d.n/2 + 1, r2hc_kindp ? d.os : d.is); + + X(tensor_tornk1)(p->vecsz, &pln->vl, &pln->ivs, &pln->ovs); + + pln->ilast = (d.n % 2) ? 0 : (d.n/2) * d.os; /* Nyquist freq., if any */ + + pln->slv = ego; + X(ops_zero)(&pln->super.super.ops); + if (r2hc_kindp) + X(ops_madd2)(pln->vl / ego->desc.r2hc->genus->vl, + &ego->desc.r2hc->ops, + &pln->super.super.ops); + else { + X(ops_madd2)(pln->vl / ego->desc.hc2r->genus->vl, + &ego->desc.hc2r->ops, + &pln->super.super.ops); + pln->super.super.ops.other += 2 * pln->vl; /* + 2 stores */ + } + + return &(pln->super.super); +} + +/* constructor */ +solver *X(mksolver_rdft2_r2hc_direct)(kr2hc k, const kr2hc_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->k.r2hc = k; + slv->desc.r2hc = desc; + slv->sz = desc->sz; + slv->nam = desc->nam; + slv->kind = desc->genus->kind; + return &(slv->super); +} + +solver *X(mksolver_rdft2_hc2r_direct)(khc2r k, const khc2r_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->k.hc2r = k; + slv->desc.hc2r = desc; + slv->sz = desc->sz; + slv->nam = desc->nam; + slv->kind = desc->genus->kind; + return &(slv->super); +} diff --git a/src/fftw3/rdft/hc2hc-buf.c b/src/fftw3/rdft/hc2hc-buf.c new file mode 100644 index 0000000..75f761c --- /dev/null +++ b/src/fftw3/rdft/hc2hc-buf.c @@ -0,0 +1,245 @@ +/* + * 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 + * + */ + +/* $Id: hc2hc-buf.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* decimation in time Cooley-Tukey */ +#include "rdft.h" +#include "hc2hc.h" + +/* + Copy A -> B, where A and B are n0 x n1 complex matrices + such that the (i0, i1) element has index (i0 * s0 + i1 * s1). + The imaginary strides are of opposite signs to the real strides. +*/ +static void cpy(int n0, int n1, + const R *rA, const R *iA, int sa0, int sa1, + R *rB, R *iB, int sb0, int sb1) +{ + int i0, i1; + + for (i0 = 0; i0 < n0; ++i0) { + const R *pra, *pia; + R *prb, *pib; + pra = rA; rA += sa0; + pia = iA; iA -= sa0; + prb = rB; rB += sb0; + pib = iB; iB -= sb0; + + for (i1 = 0; i1 < n1; ++i1) { + R xr, xi; + xr = *pra; pra += sa1; + xi = *pia; pia -= sa1; + *prb = xr; prb += sb1; + *pib = xi; pib -= sb1; + } + } +} + +static const R *doit(khc2hc k, R *rA, R *iA, const R *W, int ios, int dist, + int r, int batchsz, R *buf, stride bufstride) +{ + cpy(r, batchsz, rA, iA, ios, dist, buf, buf + 2*batchsz*r-1, 1, r); + W = k(buf, buf + 2*batchsz*r-1, W, bufstride, 2*batchsz + 1, r); + cpy(r, batchsz, buf, buf + 2*batchsz*r-1, 1, r, rA, iA, ios, dist); + return W; +} + +#define BATCHSZ 4 /* FIXME: parametrize? */ + +static void apply_dit(const plan *ego_, R *I, R *O) +{ + const plan_hc2hc *ego = (const plan_hc2hc *) ego_; + + /* two-dimensional r x vl sub-transform: */ + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } + + { + plan_rdft *cld0 = (plan_rdft *) ego->cld0; + plan_rdft *cldm = (plan_rdft *) ego->cldm; + int i, j, r = ego->r, m = ego->m, vl = ego->vl; + int os = ego->os, ovs = ego->ovs, ios = ego->iios; + R *buf; + + STACK_MALLOC(R *, buf, r * BATCHSZ * 2 * sizeof(R)); + + for (i = 0; i < vl; ++i, O += ovs) { + R *rA, *iA; + const R *W; + + cld0->apply((plan *) cld0, O, O); + + rA = O + os; iA = O + (r * m - 1) * os; + W = ego->W; + for (j = (m-1)/2; j >= BATCHSZ; j -= BATCHSZ) { + W = doit(ego->k, rA, iA, W, ios, os, r, BATCHSZ, buf, + ego->vs); + rA += os * (int)BATCHSZ; + iA -= os * (int)BATCHSZ; + } + /* do remaining j calls, if any */ + if (j > 0) + doit(ego->k, rA, iA, W, ios, os, r, j, buf, ego->vs); + + cldm->apply((plan *) cldm, O + os*(m/2), O + os*(m/2)); + } + + STACK_FREE(buf); + } +} + +static void apply_dif(const plan *ego_, R *I, R *O) +{ + const plan_hc2hc *ego = (const plan_hc2hc *) ego_; + R *I0 = I; + + { + plan_rdft *cld0 = (plan_rdft *) ego->cld0; + plan_rdft *cldm = (plan_rdft *) ego->cldm; + int i, j, r = ego->r, m = ego->m, vl = ego->vl; + int is = ego->is, ivs = ego->ivs, ios = ego->iios; + R *buf; + + STACK_MALLOC(R *, buf, r * BATCHSZ * 2 * sizeof(R)); + + for (i = 0; i < vl; ++i, I += ivs) { + R *rA, *iA; + const R *W; + + cld0->apply((plan *) cld0, I, I); + + rA = I + is; iA = I + (r * m - 1) * is; + W = ego->W; + for (j = (m-1)/2; j >= BATCHSZ; j -= BATCHSZ) { + W = doit(ego->k, rA, iA, W, ios, is, r, BATCHSZ, buf, + ego->vs); + rA += is * (int)BATCHSZ; + iA -= is * (int)BATCHSZ; + } + /* do remaining j calls, if any */ + if (j > 0) + doit(ego->k, rA, iA, W, ios, is, r, j, buf, ego->vs); + + cldm->apply((plan *) cldm, I + is*(m/2), I + is*(m/2)); + } + + STACK_FREE(buf); + } + + /* two-dimensional r x vl sub-transform: */ + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I0, O); + } +} + +static int applicable0(const solver_hc2hc *ego, const problem *p_, + const planner *plnr) +{ + if (X(rdft_hc2hc_applicable)(ego, p_)) { + const hc2hc_desc *e = ego->desc; + const problem_rdft *p = (const problem_rdft *) p_; + iodim *d = p->sz->dims; + int r = e->radix, m = d[0].n / e->radix; + return (1 + && (p->kind[0]==R2HC || p->I == p->O || DESTROY_INPUTP(plnr)) + /* check both batch size and remainder */ + && (m < BATCHSZ || + (e->genus->okp(e, 0, ((const R *)0)+2*BATCHSZ*r-1, 1,0, + 2*BATCHSZ + 1, r))) + && (m < BATCHSZ || + (e->genus->okp(e, 0, ((const R *)0) + + 2*(((m-1)/2) % BATCHSZ)*r-1, 1, 0, + 2*(((m-1)/2) % BATCHSZ) + 1, r))) + ); + } + return 0; +} + +static int applicable(const solver_hc2hc *ego, const problem *p_, + const planner *plnr) +{ + const problem_rdft *p; + + if (!applicable0(ego, p_, plnr)) return 0; + + p = (const problem_rdft *) p_; + + /* emulate fftw2 behavior */ + if (NO_VRECURSEP(plnr) && (p->vecsz->rnk > 0)) return 0; + + if (NO_UGLYP(plnr) && + X(ct_uglyp)(512, p->sz->dims[0].n, ego->desc->radix)) + return 0; + + return 1; +} + +static void finish(plan_hc2hc *ego) +{ + const hc2hc_desc *d = ego->slv->desc; + opcnt t; + + ego->iios = ego->m * (R2HC_KINDP(d->genus->kind) ? ego->os : ego->is); + ego->vs = X(mkstride)(ego->r, 1); + + X(ops_add)(&ego->cld0->ops, &ego->cldm->ops, &t); + X(ops_madd)(ego->vl, &t, &ego->cld->ops, &ego->super.super.ops); + ego->super.super.ops.other += 4 * ego->r * ((ego->m - 1)/2) * ego->vl; + X(ops_madd2)(ego->vl * ((ego->m - 1)/2) / d->genus->vl, &d->ops, + &ego->super.super.ops); +} + +static plan *mkplan_ditbuf(const solver *ego, const problem *p, planner *plnr) +{ + static const hc2hcadt adt = { + sizeof(plan_hc2hc), + X(rdft_mkcldrn_dit), finish, applicable, apply_dit + }; + return X(mkplan_rdft_hc2hc)((const solver_hc2hc *) ego, p, plnr, &adt); +} + +solver *X(mksolver_rdft_hc2hc_ditbuf)(khc2hc codelet, const hc2hc_desc *desc) +{ + static const solver_adt sadt = { mkplan_ditbuf }; + static const char name[] = "rdft-ditbuf"; + + return X(mksolver_rdft_hc2hc)(codelet, desc, name, &sadt); +} + +static plan *mkplan_difbuf(const solver *ego, const problem *p, planner *plnr) +{ + static const hc2hcadt adt = { + sizeof(plan_hc2hc), + X(rdft_mkcldrn_dif), finish, applicable, apply_dif + }; + return X(mkplan_rdft_hc2hc)((const solver_hc2hc *) ego, p, plnr, &adt); +} + +solver *X(mksolver_rdft_hc2hc_difbuf)(khc2hc codelet, const hc2hc_desc *desc) +{ + static const solver_adt sadt = { mkplan_difbuf }; + static const char name[] = "rdft-difbuf"; + + return X(mksolver_rdft_hc2hc)(codelet, desc, name, &sadt); +} diff --git a/src/fftw3/rdft/hc2hc-dif.c b/src/fftw3/rdft/hc2hc-dif.c new file mode 100644 index 0000000..2bcdca2 --- /dev/null +++ b/src/fftw3/rdft/hc2hc-dif.c @@ -0,0 +1,124 @@ +/* + * 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 + * + */ + +/* $Id: hc2hc-dif.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* decimation in frequency Cooley-Tukey */ +#include "rdft.h" +#include "hc2hc.h" + +static void apply(const plan *ego_, R *I, R *O) +{ + const plan_hc2hc *ego = (const plan_hc2hc *) ego_; + R *I0 = I; + + { + plan_rdft *cld0 = (plan_rdft *) ego->cld0; + plan_rdft *cldm = (plan_rdft *) ego->cldm; + int i, r = ego->r, m = ego->m, vl = ego->vl; + int is = ego->is, ivs = ego->ivs; + + for (i = 0; i < vl; ++i, I += ivs) { + cld0->apply((plan *) cld0, I, I); + ego->k(I + is, I + (r * m - 1) * is, ego->W, ego->ios, m, is); + cldm->apply((plan *) cldm, I + is*(m/2), I + is*(m/2)); + } + } + + /* two-dimensional r x vl sub-transform: */ + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I0, O); + } +} + +static int applicable0(const solver_hc2hc *ego, const problem *p_, + const planner *plnr) +{ + if (X(rdft_hc2hc_applicable)(ego, p_)) { + int ivs, ovs; + int vl; + const hc2hc_desc *e = ego->desc; + const problem_rdft *p = (const problem_rdft *) p_; + iodim *d = p->sz->dims; + int m = d[0].n / e->radix; + X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs); + return (1 + && (p->I == p->O || DESTROY_INPUTP(plnr)) + && (e->genus->okp(e, p->I + d[0].is, + p->I + (e->radix * m - 1) * d[0].is, + (int)m * d[0].is, 0, m, d[0].is)) + && (e->genus->okp(e, p->I + ivs + d[0].is, + p->I + ivs + (e->radix * m - 1) * d[0].is, + (int)m * d[0].is, 0, m, d[0].is)) + ); + } + return 0; +} + +static int applicable(const solver_hc2hc *ego, const problem *p_, + const planner *plnr) +{ + const problem_rdft *p; + + if (!applicable0(ego, p_, plnr)) return 0; + + p = (const problem_rdft *) p_; + + /* emulate fftw2 behavior */ + if (NO_VRECURSEP(plnr) && (p->vecsz->rnk > 0)) return 0; + + if (NO_UGLYP(plnr)) { + if (X(ct_uglyp)(16, p->sz->dims[0].n, ego->desc->radix)) return 0; + if (NONTHREADED_ICKYP(plnr)) return 0; /* prefer threaded version */ + } + return 1; +} + +static void finish(plan_hc2hc *ego) +{ + const hc2hc_desc *d = ego->slv->desc; + opcnt t; + + ego->ios = X(mkstride)(ego->r, ego->m * ego->is); + + X(ops_add)(&ego->cld0->ops, &ego->cldm->ops, &t); + X(ops_madd)(ego->vl, &t, &ego->cld->ops, &ego->super.super.ops); + X(ops_madd2)(ego->vl * ((ego->m - 1)/2) / d->genus->vl, &d->ops, + &ego->super.super.ops); +} + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const hc2hcadt adt = { + sizeof(plan_hc2hc), + X(rdft_mkcldrn_dif), finish, applicable, apply + }; + return X(mkplan_rdft_hc2hc)((const solver_hc2hc *) ego, p, plnr, &adt); +} + + +solver *X(mksolver_rdft_hc2hc_dif)(khc2hc codelet, const hc2hc_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + static const char name[] = "rdft-dif"; + + return X(mksolver_rdft_hc2hc)(codelet, desc, name, &sadt); +} diff --git a/src/fftw3/rdft/hc2hc-dit.c b/src/fftw3/rdft/hc2hc-dit.c new file mode 100644 index 0000000..04aa776 --- /dev/null +++ b/src/fftw3/rdft/hc2hc-dit.c @@ -0,0 +1,126 @@ +/* + * 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 + * + */ + +/* $Id: hc2hc-dit.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* decimation in time Cooley-Tukey */ +#include "rdft.h" +#include "hc2hc.h" + +static void apply(const plan *ego_, R *I, R *O) +{ + const plan_hc2hc *ego = (const plan_hc2hc *) ego_; + + /* two-dimensional r x vl sub-transform: */ + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } + + { + plan_rdft *cld0 = (plan_rdft *) ego->cld0; + plan_rdft *cldm = (plan_rdft *) ego->cldm; + int i, r = ego->r, m = ego->m, vl = ego->vl; + int os = ego->os, ovs = ego->ovs; + + for (i = 0; i < vl; ++i, O += ovs) { + cld0->apply((plan *) cld0, O, O); + ego->k(O + os, O + (r * m - 1) * os, ego->W, ego->ios, m, os); + cldm->apply((plan *) cldm, O + os*(m/2), O + os*(m/2)); + } + } +} + +static int applicable0(const solver_hc2hc *ego, const problem *p_, + const planner *plnr) +{ + UNUSED(plnr); + if (X(rdft_hc2hc_applicable)(ego, p_)) { + int ivs, ovs; + int vl; + const hc2hc_desc *e = ego->desc; + const problem_rdft *p = (const problem_rdft *) p_; + iodim *d = p->sz->dims; + int m = d[0].n / e->radix; + X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs); + return (1 + && (e->genus->okp(e, p->O + d[0].os, + p->O + (e->radix * m - 1) * d[0].os, + (int)m * d[0].os, 0, m, d[0].os)) + && (e->genus->okp(e, p->O + ovs + d[0].os, + p->O + ovs + (e->radix * m - 1) * d[0].os, + (int)m * d[0].os, 0, m, d[0].os)) + ); + } + return 0; +} + +static int applicable(const solver_hc2hc *ego, const problem *p_, + const planner *plnr) +{ + const problem_rdft *p; + + if (!applicable0(ego, p_, plnr)) return 0; + + p = (const problem_rdft *) p_; + + /* emulate fftw2 behavior */ + if (NO_VRECURSEP(plnr) && (p->vecsz->rnk > 0)) return 0; + + if (NO_UGLYP(plnr)) { + if (X(ct_uglyp)(16, p->sz->dims[0].n, ego->desc->radix)) return 0; + if (NONTHREADED_ICKYP(plnr)) + return 0; /* prefer threaded version */ + } + + return 1; +} + +static void finish(plan_hc2hc *ego) +{ + const hc2hc_desc *d = ego->slv->desc; + opcnt t; + + ego->ios = X(mkstride)(ego->r, ego->m * ego->os); + + X(ops_add)(&ego->cld0->ops, &ego->cldm->ops, &t); + X(ops_madd)(ego->vl, &t, &ego->cld->ops, &ego->super.super.ops); + X(ops_madd2)(ego->vl * ((ego->m - 1)/2) / d->genus->vl, &d->ops, + &ego->super.super.ops); +} + + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const hc2hcadt adt = { + sizeof(plan_hc2hc), + X(rdft_mkcldrn_dit), finish, applicable, apply + }; + return X(mkplan_rdft_hc2hc)((const solver_hc2hc *) ego, p, plnr, &adt); +} + + +solver *X(mksolver_rdft_hc2hc_dit)(khc2hc codelet, const hc2hc_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + static const char name[] = "rdft-dit"; + + return X(mksolver_rdft_hc2hc)(codelet, desc, name, &sadt); +} diff --git a/src/fftw3/rdft/hc2hc.c b/src/fftw3/rdft/hc2hc.c new file mode 100644 index 0000000..926273c --- /dev/null +++ b/src/fftw3/rdft/hc2hc.c @@ -0,0 +1,222 @@ +/* + * 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 + * + */ + +/* $Id: hc2hc.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* generic Cooley-Tukey routines */ +#include "rdft.h" +#include "hc2hc.h" + +static void destroy(plan *ego_) +{ + plan_hc2hc *ego = (plan_hc2hc *) ego_; + + X(plan_destroy_internal)(ego->cld); + X(plan_destroy_internal)(ego->cld0); + X(plan_destroy_internal)(ego->cldm); + X(stride_destroy)(ego->ios); + X(stride_destroy)(ego->vs); +} + +static void awake(plan *ego_, int flg) +{ + plan_hc2hc *ego = (plan_hc2hc *) ego_; + + AWAKE(ego->cld, flg); + AWAKE(ego->cld0, flg); + AWAKE(ego->cldm, flg); + + if (flg) { + const tw_instr *tw = ego->slv->desc->tw; + X(mktwiddle)(&ego->td, tw, ego->n, ego->r, (ego->m + 1) / 2); + /* 0th twiddle is handled by cld0: */ + ego->W = ego->td->W + X(twiddle_length)(ego->r, tw); + } else { + X(twiddle_destroy)(&ego->td); + ego->W = 0; + } +} + +static void print(const plan *ego_, printer *p) +{ + const plan_hc2hc *ego = (const plan_hc2hc *) ego_; + const solver_hc2hc *slv = ego->slv; + const hc2hc_desc *e = slv->desc; + + p->print(p, "(%s-%d/%d%v \"%s\"%(%p%)%(%p%)%(%p%))", + slv->nam, ego->r, X(twiddle_length)(ego->r, e->tw), + ego->vl, e->nam, ego->cld0, ego->cldm, ego->cld); +} + +#define divides(a, b) (((int)(b) % (int)(a)) == 0) + +int X(rdft_hc2hc_applicable)(const solver_hc2hc *ego, const problem *p_) +{ + if (RDFTP(p_)) { + const problem_rdft *p = (const problem_rdft *) p_; + const hc2hc_desc *d = ego->desc; + return (1 + && p->sz->rnk == 1 + && p->vecsz->rnk <= 1 + && p->kind[0] == d->genus->kind + && divides(d->radix, p->sz->dims[0].n) + && d->radix < p->sz->dims[0].n /* avoid inf. loops in cld0 */ + ); + } + return 0; +} + + +static const plan_adt padt = +{ + X(rdft_solve), + awake, + print, + destroy +}; + +plan *X(mkplan_rdft_hc2hc)(const solver_hc2hc *ego, + const problem *p_, + planner *plnr, + const hc2hcadt *adt) +{ + plan_hc2hc *pln; + plan *cld = 0, *cld0 = 0, *cldm = 0; + int n, r, m; + problem *cldp = 0, *cld0p = 0, *cldmp = 0; + iodim *d; + const problem_rdft *p; + const hc2hc_desc *e = ego->desc; + + if (!adt->applicable(ego, p_, plnr)) + return (plan *) 0; + + p = (const problem_rdft *) p_; + d = p->sz->dims; + n = d[0].n; + r = e->radix; + m = n / r; + + adt->mkcldrn(ego, p, &cldp, &cld0p, &cldmp); + + cld = X(mkplan_d)(plnr, cldp); cldp = 0; + if (!cld) goto nada; + + cld0 = X(mkplan_d)(plnr, cld0p); cld0p = 0; + if (!cld0) goto nada; + + cldm = X(mkplan_d)(plnr, cldmp); cldmp = 0; + if (!cldm) goto nada; + + A(adt->pln_size >= sizeof(plan_hc2hc)); + pln = (plan_hc2hc *) X(mkplan_rdft)(adt->pln_size, &padt, adt->apply); + + pln->slv = ego; + pln->cld = cld; + pln->cld0 = cld0; + pln->cldm = cldm; + pln->k = ego->k; + pln->n = n; + pln->r = r; + pln->m = m; + + pln->is = d[0].is; + pln->os = d[0].os; + + pln->ios = pln->vs = 0; + X(tensor_tornk1)(p->vecsz, &pln->vl, &pln->ivs, &pln->ovs); + pln->td = 0; + adt->finish(pln); + + return &(pln->super.super); + + nada: + X(problem_destroy)(cldmp); + X(problem_destroy)(cld0p); + X(problem_destroy)(cldp); + X(plan_destroy_internal)(cldm); + X(plan_destroy_internal)(cld0); + X(plan_destroy_internal)(cld); + return (plan *) 0; +} + +solver *X(mksolver_rdft_hc2hc)(khc2hc k, const hc2hc_desc *desc, + const char *nam, const solver_adt *adt) +{ + solver_hc2hc *slv; + + slv = MKSOLVER(solver_hc2hc, adt); + + slv->desc = desc; + slv->k = k; + slv->nam = nam; + return &(slv->super); +} + +/* routines to create children are shared by many solvers */ + +void X(rdft_mkcldrn_dit)(const solver_hc2hc *ego, const problem_rdft *p, + problem **cldp, problem **cld0p, problem **cldmp) +{ + iodim *d = p->sz->dims; + const hc2hc_desc *e = ego->desc; + int m = d[0].n / e->radix; + int omid = d[0].os * (m/2); + + tensor *null, *radix = X(mktensor_1d)(e->radix, d[0].is, m * d[0].os); + tensor *cld_vec = X(tensor_append)(radix, p->vecsz); + X(tensor_destroy)(radix); + A(p->kind[0] == R2HC); + + *cldp = X(mkproblem_rdft_d)(X(mktensor_1d)(m, e->radix*d[0].is, d[0].os), + cld_vec, p->I, p->O, p->kind); + + radix = X(mktensor_1d)(e->radix, m * d[0].os, m * d[0].os); + null = X(mktensor_0d)(); + *cld0p = X(mkproblem_rdft_1)(radix, null, p->O, p->O, R2HC); + *cldmp = X(mkproblem_rdft_1)(m%2 ? null : radix, null, + p->O + omid, p->O + omid, R2HCII); + X(tensor_destroy2)(null, radix); +} + + +void X(rdft_mkcldrn_dif)(const solver_hc2hc *ego, const problem_rdft *p, + problem **cldp, problem **cld0p, problem **cldmp) +{ + iodim *d = p->sz->dims; + const hc2hc_desc *e = ego->desc; + int m = d[0].n / e->radix; + int imid = d[0].is * (m/2); + + tensor *null, *radix = X(mktensor_1d)(e->radix, m * d[0].is, d[0].os); + tensor *cld_vec = X(tensor_append)(radix, p->vecsz); + X(tensor_destroy)(radix); + A(p->kind[0] == HC2R); + + *cldp = X(mkproblem_rdft_d)(X(mktensor_1d)(m, d[0].is, e->radix*d[0].os), + cld_vec, p->I, p->O, p->kind); + + radix = X(mktensor_1d)(e->radix, m * d[0].is, m * d[0].is); + null = X(mktensor_0d)(); + *cld0p = X(mkproblem_rdft_1)(radix, null, p->I, p->I, HC2R); + *cldmp = X(mkproblem_rdft_1)(m%2 ? null : radix, null, + p->I + imid, p->I + imid, HC2RIII); + X(tensor_destroy2)(null, radix); +} diff --git a/src/fftw3/rdft/hc2hc.h b/src/fftw3/rdft/hc2hc.h new file mode 100644 index 0000000..6c062cd --- /dev/null +++ b/src/fftw3/rdft/hc2hc.h @@ -0,0 +1,66 @@ +/* + * 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 + * + */ + +typedef struct { + solver super; + const char *nam; + const hc2hc_desc *desc; + khc2hc k; +} solver_hc2hc; + +typedef struct { + plan_rdft super; + khc2hc k; + plan *cld0, *cldm; /* children for 0th and middle butterflies */ + plan *cld; + R *W; + int n, r, m, vl; + int is, os, ivs, ovs, iios; + stride ios, vs; + const solver_hc2hc *slv; + twid *td; +} plan_hc2hc; + +/* data type describing a generic Cooley-Tukey solver */ +typedef struct +{ + size_t pln_size; + void (*mkcldrn)(const solver_hc2hc *, const problem_rdft *p, + problem **cldp, problem **cld0p, problem **cldmp); + void (*finish)(plan_hc2hc *ego); + int (*applicable)(const solver_hc2hc *ego, const problem *p, + const planner *plnr); + rdftapply apply; +} hc2hcadt; + +int X(rdft_hc2hc_applicable)(const solver_hc2hc *ego, const problem *p_); + +plan *X(mkplan_rdft_hc2hc)(const solver_hc2hc *ego, + const problem *p_, + planner *plnr, + const hc2hcadt *adt); + +solver *X(mksolver_rdft_hc2hc)(khc2hc k, const hc2hc_desc *desc, + const char *nam, const solver_adt *adt); + +void X(rdft_mkcldrn_dit)(const solver_hc2hc *, const problem_rdft *p, + problem **cldp, problem **cld0p, problem **cldmp); +void X(rdft_mkcldrn_dif)(const solver_hc2hc *, const problem_rdft *p, + problem **cldp, problem **cld0p, problem **cldmp); diff --git a/src/fftw3/rdft/khc2hc-dif.c b/src/fftw3/rdft/khc2hc-dif.c new file mode 100644 index 0000000..14806f1 --- /dev/null +++ b/src/fftw3/rdft/khc2hc-dif.c @@ -0,0 +1,33 @@ +/* + * 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 + * + */ + +/* $Id: khc2hc-dif.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +void (*X(khc2hc_dif_register_hook))(planner *, khc2hc, const hc2hc_desc *)=0; + +void X(khc2hc_dif_register)(planner *p, khc2hc codelet, const hc2hc_desc *desc) +{ + REGISTER_SOLVER(p, X(mksolver_rdft_hc2hc_dif)(codelet, desc)); + REGISTER_SOLVER(p, X(mksolver_rdft_hc2hc_difbuf)(codelet, desc)); + if (X(khc2hc_dif_register_hook)) + X(khc2hc_dif_register_hook)(p, codelet, desc); +} diff --git a/src/fftw3/rdft/khc2hc-dit.c b/src/fftw3/rdft/khc2hc-dit.c new file mode 100644 index 0000000..24ba8d3 --- /dev/null +++ b/src/fftw3/rdft/khc2hc-dit.c @@ -0,0 +1,33 @@ +/* + * 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 + * + */ + +/* $Id: khc2hc-dit.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +void (*X(khc2hc_dit_register_hook))(planner *, khc2hc, const hc2hc_desc *)=0; + +void X(khc2hc_dit_register)(planner *p, khc2hc codelet, const hc2hc_desc *desc) +{ + REGISTER_SOLVER(p, X(mksolver_rdft_hc2hc_dit)(codelet, desc)); + REGISTER_SOLVER(p, X(mksolver_rdft_hc2hc_ditbuf)(codelet, desc)); + if (X(khc2hc_dit_register_hook)) + X(khc2hc_dit_register_hook)(p, codelet, desc); +} diff --git a/src/fftw3/rdft/khc2r.c b/src/fftw3/rdft/khc2r.c new file mode 100644 index 0000000..d796bca --- /dev/null +++ b/src/fftw3/rdft/khc2r.c @@ -0,0 +1,29 @@ +/* + * 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 + * + */ + +/* $Id: khc2r.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +void X(khc2r_register)(planner *p, khc2r codelet, const khc2r_desc *desc) +{ + REGISTER_SOLVER(p, X(mksolver_rdft_hc2r_direct)(codelet, desc)); + REGISTER_SOLVER(p, X(mksolver_rdft2_hc2r_direct)(codelet, desc)); +} diff --git a/src/fftw3/rdft/kr2hc.c b/src/fftw3/rdft/kr2hc.c new file mode 100644 index 0000000..9840186 --- /dev/null +++ b/src/fftw3/rdft/kr2hc.c @@ -0,0 +1,29 @@ +/* + * 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 + * + */ + +/* $Id: kr2hc.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +void X(kr2hc_register)(planner *p, kr2hc codelet, const kr2hc_desc *desc) +{ + REGISTER_SOLVER(p, X(mksolver_rdft_r2hc_direct)(codelet, desc)); + REGISTER_SOLVER(p, X(mksolver_rdft2_r2hc_direct)(codelet, desc)); +} diff --git a/src/fftw3/rdft/kr2r.c b/src/fftw3/rdft/kr2r.c new file mode 100644 index 0000000..31b1c10 --- /dev/null +++ b/src/fftw3/rdft/kr2r.c @@ -0,0 +1,28 @@ +/* + * 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 + * + */ + +/* $Id: kr2r.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +void X(kr2r_register)(planner *p, kr2r codelet, const kr2r_desc *desc) +{ + REGISTER_SOLVER(p, X(mksolver_rdft_r2r_direct)(codelet, desc)); +} diff --git a/src/fftw3/rdft/nop2.c b/src/fftw3/rdft/nop2.c new file mode 100644 index 0000000..f647b29 --- /dev/null +++ b/src/fftw3/rdft/nop2.c @@ -0,0 +1,90 @@ +/* + * 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 + * + */ + +/* $Id: nop2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* plans for vrank -infty RDFT2s (nothing to do), as well as in-place + rank-0 HC2R. Note that in-place rank-0 R2HC is *not* a no-op, because + we have to set the imaginary parts of the output to zero. */ + +#include "rdft.h" + +static void apply(const plan *ego_, R *r, R *rio, R *iio) +{ + UNUSED(ego_); + UNUSED(r); + UNUSED(rio); + UNUSED(iio); +} + +static int applicable(const solver *ego_, const problem *p_) +{ + UNUSED(ego_); + if (RDFT2P(p_)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + return(0 + /* case 1 : -infty vector rank */ + || (p->vecsz->rnk == RNK_MINFTY) + + /* case 2 : rank-0 in-place HC2R rdft */ + || (1 + && p->kind == HC2R + && p->sz->rnk == 0 + && FINITE_RNK(p->vecsz->rnk) + && (p->r == p->rio || p->r == p->iio) + && X(rdft2_inplace_strides)(p, RNK_MINFTY) + )); + } + return 0; +} + +static void print(const plan *ego, printer *p) +{ + UNUSED(ego); + p->print(p, "(rdft2-nop)"); +} + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const plan_adt padt = { + X(rdft2_solve), X(null_awake), print, X(plan_null_destroy) + }; + plan_rdft2 *pln; + + UNUSED(plnr); + + if (!applicable(ego, p)) + return (plan *) 0; + pln = MKPLAN_RDFT2(plan_rdft2, &padt, apply); + X(ops_zero)(&pln->super.ops); + + return &(pln->super); +} + +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + return MKSOLVER(solver, &sadt); +} + +void X(rdft2_nop_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/rdft/plan2.c b/src/fftw3/rdft/plan2.c new file mode 100644 index 0000000..b04c19d --- /dev/null +++ b/src/fftw3/rdft/plan2.c @@ -0,0 +1,33 @@ +/* + * 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 + * + */ + +/* $Id: plan2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +plan *X(mkplan_rdft2)(size_t size, const plan_adt *adt, rdft2apply apply) +{ + plan_rdft2 *ego; + + ego = (plan_rdft2 *) X(mkplan)(size, adt); + ego->apply = apply; + + return &(ego->super); +} diff --git a/src/fftw3/rdft/problem2.c b/src/fftw3/rdft/problem2.c new file mode 100644 index 0000000..57a5764 --- /dev/null +++ b/src/fftw3/rdft/problem2.c @@ -0,0 +1,142 @@ +/* + * 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 + * + */ + +/* $Id: problem2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "dft.h" +#include "rdft.h" +#include <stddef.h> + +static void destroy(problem *ego_) +{ + problem_rdft2 *ego = (problem_rdft2 *) ego_; + X(tensor_destroy2)(ego->vecsz, ego->sz); + X(ifree)(ego_); +} + +static void hash(const problem *p_, md5 *m) +{ + const problem_rdft2 *p = (const problem_rdft2 *) p_; + X(md5puts)(m, "rdft2"); + X(md5int)(m, p->r == p->rio); + X(md5int)(m, p->r == p->iio); + X(md5ptrdiff)(m, p->iio - p->rio); + X(md5int)(m, X(alignment_of)(p->r)); + X(md5int)(m, X(alignment_of)(p->rio)); + X(md5int)(m, X(alignment_of)(p->iio)); + X(md5int)(m, p->kind); + X(tensor_md5)(m, p->sz); + X(tensor_md5)(m, p->vecsz); +} + +static void print(problem *ego_, printer *p) +{ + problem_rdft2 *ego = (problem_rdft2 *) ego_; + p->print(p, "(rdft2 %d %td %td %d %T %T)", + X(alignment_of)(ego->r), + ego->rio - ego->r, + ego->iio - ego->r, + (int)(ego->kind), + ego->sz, + ego->vecsz); +} + +static void zero(const problem *ego_) +{ + const problem_rdft2 *ego = (const problem_rdft2 *) ego_; + tensor *sz; + if (ego->kind == R2HC) { + sz = X(tensor_append)(ego->vecsz, ego->sz); + X(rdft_zerotens)(sz, UNTAINT(ego->r)); + } + else { + tensor *sz2 = X(tensor_copy)(ego->sz); + if (sz2->rnk > 0) /* ~half as many complex outputs */ + sz2->dims[0].n = sz2->dims[0].n / 2 + 1; + sz = X(tensor_append)(ego->vecsz, sz2); + X(tensor_destroy)(sz2); + X(dft_zerotens)(sz, UNTAINT(ego->rio), UNTAINT(ego->iio)); + } + X(tensor_destroy)(sz); +} + +static const problem_adt padt = +{ + hash, + zero, + print, + destroy +}; + +int X(problem_rdft2_p)(const problem *p) +{ + return (p->adt == &padt); +} + +problem *X(mkproblem_rdft2)(const tensor *sz, const tensor *vecsz, + R *r, R *rio, R *iio, rdft_kind kind) +{ + problem_rdft2 *ego = + (problem_rdft2 *)X(mkproblem)(sizeof(problem_rdft2), &padt); + + A(X(tensor_kosherp)(sz)); + A(X(tensor_kosherp)(vecsz)); + A(FINITE_RNK(sz->rnk)); + + if (UNTAINT(r) == UNTAINT(rio)) + r = rio = JOIN_TAINT(r, rio); + if (UNTAINT(r) == UNTAINT(iio)) + r = iio = JOIN_TAINT(r, iio); + + /* correctness condition: */ + A(TAINTOF(rio) == TAINTOF(iio)); + + if (sz->rnk > 1) { /* have to compress rnk-1 dims separately, ugh */ + tensor *szc = X(tensor_copy_except)(sz, sz->rnk - 1); + tensor *szr = X(tensor_copy_sub)(sz, sz->rnk - 1, 1); + tensor *szcc = X(tensor_compress)(szc); + if (szcc->rnk > 0) + ego->sz = X(tensor_append)(szcc, szr); + else + ego->sz = X(tensor_compress)(szr); + X(tensor_destroy2)(szc, szr); X(tensor_destroy)(szcc); + } + else + ego->sz = X(tensor_compress)(sz); + ego->vecsz = X(tensor_compress_contiguous)(vecsz); + ego->r = r; + ego->rio = rio; + ego->iio = iio; + ego->kind = kind; + + A(kind == R2HC || kind == HC2R); + A(FINITE_RNK(ego->sz->rnk)); + return &(ego->super); +} + +/* Same as X(mkproblem_rdft2), but also destroy input tensors. */ +problem *X(mkproblem_rdft2_d)(tensor *sz, tensor *vecsz, + R *r, R *rio, R *iio, rdft_kind kind) +{ + problem *p; + p = X(mkproblem_rdft2)(sz, vecsz, r, rio, iio, kind); + X(tensor_destroy2)(vecsz, sz); + return p; +} diff --git a/src/fftw3/rdft/rader-hc2hc.c b/src/fftw3/rdft/rader-hc2hc.c new file mode 100644 index 0000000..f1b6f34 --- /dev/null +++ b/src/fftw3/rdft/rader-hc2hc.c @@ -0,0 +1,513 @@ +/* + * 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" +#include "dft.h" + +/* + * Compute transforms with large prime factors using Rader's trick: + * turn the factors into convolutions of size n - 1, which you then + * perform via a pair of FFTs. This file contains only twiddle hc2hc + * transforms, which are actually ordinary complex transforms in a + * slightly funny order. + */ + +typedef struct { + solver super; + rdft_kind kind; +} S; + +typedef struct { + plan_rdft super; + + plan *cldr, *cldr0; + plan *cld; + R *W; + R *omega; + int m, r, g, ginv; + int os, ios; + rdft_kind kind; +} P; + +static rader_tl *twiddles = 0; + +/***************************************************************************/ + +/* Below, we extensively use the identity that fft(x*)* = ifft(x) in + order to share data between forward and backward transforms and to + obviate the necessity of having separate forward and backward + plans. */ + +static void apply_aux(int r, plan_dft *cldr, const R *omega, + R *buf, R *ro, R i0, R *io) +{ + R r0; + int k; + + /* compute DFT of buf, operating in-place */ + cldr->apply((plan *) cldr, buf, buf+1, buf, buf+1); + + /* set output DC component: */ + ro[0] = (r0 = ro[0]) + buf[0]; + io[0] = i0 + buf[1]; + + /* now, multiply by omega: */ + for (k = 0; k < r - 1; ++k) { + R rB, iB, rW, iW; + rW = omega[2*k]; + iW = omega[2*k+1]; + rB = buf[2*k]; + iB = buf[2*k+1]; + buf[2*k] = rW * rB - iW * iB; + buf[2*k+1] = -(rW * iB + iW * rB); + } + + /* this will add input[0] to all of the outputs after the ifft */ + buf[0] += r0; + buf[1] -= i0; + + /* inverse FFT: */ + cldr->apply((plan *) cldr, buf, buf+1, buf, buf+1); +} + +static void apply_dit(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + plan_dft *cldr; + int os, ios; + int j, k, gpower, g, ginv, r, m; + R *buf, *rio, *ii, *io; + const R *omega, *W; + + /* size-m child transforms: */ + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } + + /* 0th twiddle transform is just size-r (prime) R2HC: */ + { + plan_rdft *cldr0 = (plan_rdft *) ego->cldr0; + cldr0->apply((plan *) cldr0, O, O); + } + + cldr = (plan_dft *) ego->cldr; + r = ego->r; + m = ego->m; + g = ego->g; + ginv = ego->ginv; + omega = ego->omega; + W = ego->W; + os = ego->os; + ios = ego->ios; + gpower = 1; + rio = O + os; + ii = O + (m - 1) * os; + io = O + (r * m - 1) * os; + + buf = (R *) MALLOC(sizeof(R) * (r - 1) * 2, BUFFERS); + + for (j = 2; j < m; j += 2, rio += os, ii -= os, io -= os, W += 2*(r-1)) { + /* First, permute the input and multiply by W, storing in buf: */ + A(gpower == 1); + for (k = 0; k < r - 1; ++k, gpower = MULMOD(gpower, g, r)) { + R rA, iA, rW, iW; + rA = rio[gpower * ios]; + iA = ii[gpower * ios]; + rW = W[2*k]; + iW = W[2*k+1]; + buf[2*k] = rW * rA - iW * iA; + buf[2*k+1] = rW * iA + iW * rA; + } + /* gpower == g^(r-1) mod r == 1 */; + + apply_aux(r, cldr, omega, buf, rio, ii[0], io); + + /* finally, do inverse permutation to unshuffle the output: */ + A(gpower == 1); + for (k = 0; k < r - 1; ++k, gpower = MULMOD(gpower, ginv, r)) { + rio[gpower * ios] = buf[2*k]; + io[-gpower * ios] = -buf[2*k+1]; + } + A(gpower == 1); + + /* second half of array must be fiddled to get real/imag + parts in correct spots: */ + for (k = (r+1)/2; k < r; ++k) { + R t; + t = rio[k * ios]; + rio[k * ios] = -io[-k * ios]; + io[-k * ios] = t; + } + } + + /* Avoid funny m/2-th iter by requiring m odd. This always + happens anyway because all the factors of 2 get divided out + first by codelets (Rader is UGLY for small factors). */ + + X(ifree)(buf); +} + +static void apply_dif(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + plan_dft *cldr; + int is, ios; + int j, k, gpower, g, ginv, r, m; + R *buf, *rio, *ii, *io; + const R *omega, *W; + + /* 0th twiddle transform is just size-r (prime) HC2R: */ + { + plan_rdft *cldr0 = (plan_rdft *) ego->cldr0; + cldr0->apply((plan *) cldr0, I, I); + } + + cldr = (plan_dft *) ego->cldr; + r = ego->r; + m = ego->m; + g = ego->g; + ginv = ego->ginv; + omega = ego->omega; + W = ego->W + 2*(r-1); /* simplify reverse indexing of W */ + is = ego->os; + ios = ego->ios; + gpower = 1; + rio = I + is; + io = I + (m - 1) * is; + ii = I + (r * m - 1) * is; + + buf = (R *) MALLOC(sizeof(R) * (r - 1) * 2, BUFFERS); + + for (j = 2; j < m; j += 2, rio += is, ii -= is, io -= is, W += 2*(r-1)) { + /* second half of array must be unfiddled to get real/imag + parts from correct spots: */ + for (k = (r+1)/2; k < r; ++k) { + R t; + t = rio[k * ios]; + rio[k * ios] = ii[-k * ios]; + ii[-k * ios] = -t; + } + + /* First, permute the input, storing in buf: */ + A(gpower == 1); + for (k = 0; k < r - 1; ++k, gpower = MULMOD(gpower, g, r)) { + buf[2*k] = rio[gpower * ios]; + buf[2*k+1] = -ii[-gpower * ios]; + } + /* gpower == g^(r-1) mod r == 1 */; + A(gpower == 1); + + apply_aux(r, cldr, omega, buf, rio, -ii[0], io); + io[0] = -io[0]; + + /* finally, do inverse permutation to unshuffle the output, + also multiplying by the inverse twiddle factors W*. + The twiddle factors are accessed in reverse order W[-k], + because here we exponentiating ginv and not g as in + mktwiddle. */ + { /* W[-0] = W[0] case must be handled specially */ + R rA, iA, rW, iW; + rA = buf[0]; iA = buf[1]; + rW = W[-2*(r-1)]; iW = W[-2*(r-1) + 1]; + rio[ios] = rA * rW + iA * iW; + io[ios] = iA * rW - rA * iW; + } + gpower = ginv; + for (k = 1; k < r - 1; ++k, gpower = MULMOD(gpower, ginv, r)) { + R rA, iA, rW, iW; + rA = buf[2*k]; iA = buf[2*k+1]; + rW = W[-2*k]; iW = W[-2*k+1]; + rio[gpower * ios] = rA * rW + iA * iW; + io[gpower * ios] = iA * rW - rA * iW; + } + A(gpower == 1); + } + + /* Avoid funny m/2-th iter by requiring m odd. This always + happens anyway because all the factors of 2 get divided out + first by codelets (Rader is UGLY for small factors). */ + + X(ifree)(buf); + + /* size-m child transforms: */ + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } +} + +static R *mktwiddle(int m, int r, int g) +{ + int i, j, gpower; + int n = r * m; + R *W; + + if ((W = X(rader_tl_find)(m, r, g, twiddles))) + return W; + + W = (R *)MALLOC(sizeof(R) * (r - 1) * ((m-1)/2) * 2, TWIDDLES); + for (i = 1; i < (m+1)/2; ++i) { + for (gpower = 1, j = 0; j < r - 1; + ++j, gpower = MULMOD(gpower, g, r)) { + int k = (i - 1) * (r - 1) + j; + W[2*k] = X(cos2pi)(i * gpower, n); + W[2*k+1] = FFT_SIGN * X(sin2pi)(i * gpower, n); + } + A(gpower == 1); + } + + X(rader_tl_insert)(m, r, g, W, &twiddles); + return W; +} + +static void free_twiddle(R *twiddle) +{ + X(rader_tl_delete)(twiddle, &twiddles); +} + +/***************************************************************************/ + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + + AWAKE(ego->cldr0, flg); + AWAKE(ego->cldr, flg); + AWAKE(ego->cld, flg); + + if (flg) { + if (!ego->omega) + ego->omega = + X(dft_rader_mkomega)(ego->cldr, ego->r, ego->ginv); + if (!ego->W) + ego->W = mktwiddle(ego->m, ego->r, ego->g); + } else { + X(dft_rader_free_omega)(&ego->omega); + free_twiddle(ego->W); + ego->W = 0; + } +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + X(plan_destroy_internal)(ego->cld); + X(plan_destroy_internal)(ego->cldr); + X(plan_destroy_internal)(ego->cldr0); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + + p->print(p, "(rdft-rader-%s-%d%(%p%)%(%p%)%(%p%))", + ego->kind == R2HC ? "r2hc-dit" : "hc2r-dif", + ego->r, ego->cldr0, ego->cldr, 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 % 4 /* make sure n / r = m is odd */ + && p->kind[0] == ego->kind + && !X(is_prime)(p->sz->dims[0].n) /* avoid inf. loops planning cldr0 */ + ); + } + + return 0; +} + +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr) +{ + return (!NO_UGLYP(plnr) && applicable0(ego_, p_)); +} + +static int mkP(P *pln, int r, R *O, int ios, rdft_kind kind, planner *plnr) +{ + plan *cldr = (plan *) 0; + plan *cldr0 = (plan *) 0; + R *buf = (R *) 0; + + cldr0 = X(mkplan_d)(plnr, + X(mkproblem_rdft_1_d)(X(mktensor_1d)(r, ios, ios), + X(mktensor_1d)(1, 0, 0), + O, O, kind)); + if (!cldr0) goto nada; + + /* initial allocation for the purpose of planning */ + buf = (R *) MALLOC(sizeof(R) * (r - 1) * 2, BUFFERS); + + cldr = X(mkplan_d)(plnr, X(mkproblem_dft_d)(X(mktensor_1d)(r - 1, 2, 2), + X(mktensor_1d)(1, 0, 0), + buf, buf + 1, buf, buf + 1)); + if (!cldr) goto nada; + + X(ifree)(buf); + + pln->cldr = cldr; + pln->cldr0 = cldr0; + pln->omega = 0; + pln->r = r; + pln->g = X(find_generator)(r); + pln->ginv = X(power_mod)(pln->g, r - 2, r); + pln->kind = kind; + A(MULMOD(pln->g, pln->ginv, r) == 1); + + X(ops_add)(&cldr->ops, &cldr->ops, &pln->super.super.ops); + pln->super.super.ops.other += (r - 1) * (4 * 2 + 6) + 6; + pln->super.super.ops.add += 2 * (r - 1) * 2 + 4; + pln->super.super.ops.mul += 2 * (r - 1) * 4; + + return 1; + + nada: + X(ifree0)(buf); + X(plan_destroy_internal)(cldr); + X(plan_destroy_internal)(cldr0); + return 0; +} + +static plan *mkplan_dit(const solver *ego, const problem *p_, planner *plnr) +{ + const problem_rdft *p = (const problem_rdft *) p_; + P *pln = 0; + int n, is, os, r, m; + plan *cld = (plan *) 0; + + 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; + + + cld = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)(X(mktensor_1d)(m, r * is, os), + X(mktensor_1d)(r, is, m * os), + p->I, p->O, p->kind)); + if (!cld) goto nada; + + pln = MKPLAN_RDFT(P, &padt, apply_dit); + if (!mkP(pln, r, p->O, os*m, p->kind[0], plnr)) + goto nada; + + pln->ios = os*m; + pln->os = os; + pln->m = m; + pln->cld = cld; + pln->W = 0; + + X(ops_madd)((m - 1)/2, &pln->super.super.ops, &cld->ops, + &pln->super.super.ops); + + return &(pln->super.super); + + nada: + X(plan_destroy_internal)(cld); + X(ifree0)(pln); + return (plan *) 0; +} + +static plan *mkplan_dif(const solver *ego, const problem *p_, planner *plnr) +{ + const problem_rdft *p = (const problem_rdft *) p_; + P *pln = 0; + int n, is, os, r, m; + plan *cld = (plan *) 0; + + 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; + + cld = X(mkplan_d)(plnr, + 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) goto nada; + + pln = MKPLAN_RDFT(P, &padt, apply_dif); + if (!mkP(pln, r, p->I, is*m, p->kind[0], plnr)) goto nada; + + pln->ios = is*m; + pln->os = is; + pln->m = m; + pln->cld = cld; + pln->W = 0; + + X(ops_madd)((m - 1)/2, &pln->super.super.ops, &cld->ops, + &pln->super.super.ops); + + return &(pln->super.super); + + nada: + X(plan_destroy_internal)(cld); + X(ifree0)(pln); + return (plan *) 0; +} + +/* constructors */ + +static solver *mksolver_dit(void) +{ + static const solver_adt sadt = { mkplan_dit }; + S *slv = MKSOLVER(S, &sadt); + slv->kind = R2HC; + return &(slv->super); +} + +static solver *mksolver_dif(void) +{ + static const solver_adt sadt = { mkplan_dif }; + S *slv = MKSOLVER(S, &sadt); + slv->kind = HC2R; + return &(slv->super); +} + +void X(rdft_rader_hc2hc_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver_dit()); + REGISTER_SOLVER(p, mksolver_dif()); +} diff --git a/src/fftw3/rdft/rank-geq2-rdft2.c b/src/fftw3/rdft/rank-geq2-rdft2.c new file mode 100644 index 0000000..c1809c9 --- /dev/null +++ b/src/fftw3/rdft/rank-geq2-rdft2.c @@ -0,0 +1,243 @@ +/* + * 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 + * + */ + +/* $Id: rank-geq2-rdft2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* plans for RDFT2 of rank >= 2 (multidimensional) */ + +#include "rdft.h" +#include "dft.h" + +typedef struct { + solver super; + int spltrnk; + const int *buddies; + int nbuddies; +} S; + +typedef struct { + plan_dft super; + plan *cldr, *cldc; + const S *solver; +} P; + +static void apply_r2hc(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + + { + plan_rdft2 *cldr = (plan_rdft2 *) ego->cldr; + cldr->apply((plan *) cldr, r, rio, iio); + } + + { + plan_dft *cldc = (plan_dft *) ego->cldc; + cldc->apply((plan *) cldc, rio, iio, rio, iio); + } +} + +static void apply_hc2r(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + + { + plan_dft *cldc = (plan_dft *) ego->cldc; + cldc->apply((plan *) cldc, iio, rio, iio, rio); + } + + { + plan_rdft2 *cldr = (plan_rdft2 *) ego->cldr; + cldr->apply((plan *) cldr, r, rio, iio); + } + +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + AWAKE(ego->cldr, flg); + AWAKE(ego->cldc, flg); +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + X(plan_destroy_internal)(ego->cldr); + X(plan_destroy_internal)(ego->cldc); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + const S *s = ego->solver; + p->print(p, "(rdft2-rank>=2/%d%(%p%)%(%p%))", + s->spltrnk, ego->cldr, ego->cldc); +} + +static int picksplit(const S *ego, const tensor *sz, int *rp) +{ + A(sz->rnk > 1); /* cannot split rnk <= 1 */ + if (!X(pickdim)(ego->spltrnk, ego->buddies, ego->nbuddies, sz, 1, rp)) + return 0; + *rp += 1; /* convert from dim. index to rank */ + if (*rp >= sz->rnk) /* split must reduce rank */ + return 0; + return 1; +} + +static int applicable0(const solver *ego_, const problem *p_, int *rp, + const planner *plnr) +{ + if (RDFT2P(p_)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + const S *ego = (const S *)ego_; + return (1 + && p->sz->rnk >= 2 + && picksplit(ego, p->sz, rp) + && (0 + + /* can work out-of-place, but HC2R destroys input */ + || (p->r != p->rio && p->r != p->iio && + (p->kind == R2HC || DESTROY_INPUTP(plnr))) + + /* FIXME: what are sufficient conditions for inplace? */ + || (!(p->r != p->rio && p->r != p->iio)) + ) + ); + } + + return 0; +} + +/* TODO: revise this. */ +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr, int *rp) +{ + const S *ego = (const S *)ego_; + + if (!applicable0(ego_, p_, rp, plnr)) return 0; + + /* fixed spltrnk (unlike fftw2's spltrnk=1, default buddies[0] is + spltrnk=0, which is an asymptotic "theoretical optimum" for + an ideal cache; it's equivalent to spltrnk=1 for rnk < 4). */ + if (NO_RANK_SPLITSP(plnr) && (ego->spltrnk != ego->buddies[0])) + return 0; + + if (NO_UGLYP(plnr)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + + /* Heuristic: if the vector stride is greater than the transform + sz, don't use (prefer to do the vector loop first with a + vrank-geq1 plan). */ + if (p->vecsz->rnk > 0 && + X(tensor_min_stride)(p->vecsz) + > X(rdft2_tensor_max_index)(p->sz, p->kind)) + return 0; + } + + return 1; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + const problem_rdft2 *p; + P *pln; + plan *cldr = 0, *cldc = 0; + tensor *sz1, *sz2, *vecszi, *sz2i; + int spltrnk; + inplace_kind k; + problem *cldp; + + static const plan_adt padt = { + X(rdft2_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr, &spltrnk)) + return (plan *) 0; + + p = (const problem_rdft2 *) p_; + X(tensor_split)(p->sz, &sz1, spltrnk, &sz2); + + k = p->kind == R2HC ? INPLACE_OS : INPLACE_IS; + vecszi = X(tensor_copy_inplace)(p->vecsz, k); + sz2i = X(tensor_copy_inplace)(sz2, k); + + /* complex data is ~half of real */ + sz2i->dims[sz2i->rnk - 1].n = sz2i->dims[sz2i->rnk - 1].n/2 + 1; + + cldr = X(mkplan_d)(plnr, + X(mkproblem_rdft2_d)(X(tensor_copy)(sz2), + X(tensor_append)(p->vecsz, sz1), + p->r, p->rio, p->iio, p->kind)); + if (!cldr) goto nada; + + if (p->kind == R2HC) + cldp = X(mkproblem_dft_d)(X(tensor_copy_inplace)(sz1, k), + X(tensor_append)(vecszi, sz2i), + p->rio, p->iio, p->rio, p->iio); + else /* HC2R must swap re/im parts to get IDFT */ + cldp = X(mkproblem_dft_d)(X(tensor_copy_inplace)(sz1, k), + X(tensor_append)(vecszi, sz2i), + p->iio, p->rio, p->iio, p->rio); + cldc = X(mkplan_d)(plnr, cldp); + if (!cldc) goto nada; + + pln = MKPLAN_RDFT2(P, &padt, p->kind == R2HC ? apply_r2hc : apply_hc2r); + + pln->cldr = cldr; + pln->cldc = cldc; + + pln->solver = ego; + X(ops_add)(&cldr->ops, &cldc->ops, &pln->super.super.ops); + + X(tensor_destroy4)(sz2i, vecszi, sz2, sz1); + + return &(pln->super.super); + + nada: + X(plan_destroy_internal)(cldr); + X(plan_destroy_internal)(cldc); + X(tensor_destroy4)(sz2i, vecszi, sz2, sz1); + return (plan *) 0; +} + +static solver *mksolver(int spltrnk, const int *buddies, int nbuddies) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->spltrnk = spltrnk; + slv->buddies = buddies; + slv->nbuddies = nbuddies; + return &(slv->super); +} + +void X(rdft2_rank_geq2_register)(planner *p) +{ + int i; + static const int buddies[] = { 0, 1, -2 }; + + const int nbuddies = sizeof(buddies) / sizeof(buddies[0]); + + for (i = 0; i < nbuddies; ++i) + REGISTER_SOLVER(p, mksolver(buddies[i], buddies, nbuddies)); + + /* FIXME: Should we try more buddies? See also dft/rank-geq2. */ +} diff --git a/src/fftw3/rdft/rank0-rdft2.c b/src/fftw3/rdft/rank0-rdft2.c new file mode 100644 index 0000000..5a2a649 --- /dev/null +++ b/src/fftw3/rdft/rank0-rdft2.c @@ -0,0 +1,195 @@ +/* + * 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 + * + */ + +/* $Id: rank0-rdft2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* plans for rank-0 RDFT2 (copy operations, plus setting 0 imag. parts) */ + +#include "rdft.h" + +#ifdef HAVE_STRING_H +#include <string.h> /* for memcpy() */ +#endif + +typedef struct { + solver super; +} S; + +typedef struct { + plan_rdft super; + int vl; + int ivs, ovs; + plan *cldcpy; +} P; + +static int applicable(const problem *p_) +{ + if (RDFT2P(p_)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + return (1 + && p->sz->rnk == 0 + && (p->kind == HC2R + || (((p->r != p->rio && p->r != p->iio) + || X(rdft2_inplace_strides)(p, RNK_MINFTY)) + && p->vecsz->rnk <= 1)) + ); + } + return 0; +} + +static void apply_r2hc(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + int i, vl = ego->vl; + int ivs = ego->ivs, ovs = ego->ovs; + + for (i = 4; i <= vl; i += 4) { + R r0, r1, r2, r3; + r0 = *r; r += ivs; + r1 = *r; r += ivs; + r2 = *r; r += ivs; + r3 = *r; r += ivs; + *rio = r0; rio += ovs; + *iio = 0.0; iio += ovs; + *rio = r1; rio += ovs; + *iio = 0.0; iio += ovs; + *rio = r2; rio += ovs; + *iio = 0.0; iio += ovs; + *rio = r3; rio += ovs; + *iio = 0.0; iio += ovs; + } + for (; i < vl + 4; ++i) { + R r0; + r0 = *r; r += ivs; + *rio = r0; rio += ovs; + *iio = 0.0; iio += ovs; + } +} + +/* in-place r2hc rank-0: set imaginary parts of output to 0 */ +static void apply_r2hc_inplace(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + int i, vl = ego->vl; + int ovs = ego->ovs; + + UNUSED(r); + UNUSED(rio); + for (i = 4; i <= vl; i += 4) { + *iio = 0.0; iio += ovs; + *iio = 0.0; iio += ovs; + *iio = 0.0; iio += ovs; + *iio = 0.0; iio += ovs; + } + for (; i < vl + 4; ++i) { + *iio = 0.0; iio += ovs; + } +} + +/* a rank-0 HC2R rdft2 problem is just a copy from rio to r, + so we can use a rank-0 rdft plan */ +static void apply_hc2r(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + plan_rdft *cldcpy = (plan_rdft *) ego->cldcpy; + UNUSED(iio); + cldcpy->apply((plan *) cldcpy, rio, r); +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + if (ego->cldcpy) + AWAKE(ego->cldcpy, flg); +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + if (ego->cldcpy) + X(plan_destroy_internal)(ego->cldcpy); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + if (ego->cldcpy) + p->print(p, "(rdft2-hc2r-rank0%(%p%))", ego->cldcpy); + else + p->print(p, "(rdft2-r2hc-rank0%v)", ego->vl); +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const problem_rdft2 *p; + plan *cldcpy = (plan *) 0; + P *pln; + + static const plan_adt padt = { + X(rdft2_solve), awake, print, destroy + }; + + UNUSED(ego_); + + if (!applicable(p_)) + return (plan *) 0; + + p = (const problem_rdft2 *) p_; + + if (p->kind == HC2R) { + cldcpy = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)( + X(mktensor_0d)(), + X(tensor_copy)(p->vecsz), + p->rio, p->r, (rdft_kind *) 0)); + if (!cldcpy) return (plan *) 0; + } + + pln = MKPLAN_RDFT2(P, &padt, + p->kind == R2HC ? + (p->r == p->rio ? apply_r2hc_inplace : apply_r2hc) + : apply_hc2r); + + if (p->kind == R2HC) + X(tensor_tornk1)(p->vecsz, &pln->vl, &pln->ivs, &pln->ovs); + pln->cldcpy = cldcpy; + + if (p->kind == R2HC) { + /* vl loads, 2*vl stores */ + X(ops_other)(3 * pln->vl, &pln->super.super.ops); + } + else { + pln->super.super.ops = cldcpy->ops; + } + + return &(pln->super.super); +} + +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + return &(slv->super); +} + +void X(rdft2_rank0_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/rdft/rbuffered.c b/src/fftw3/rdft/rbuffered.c new file mode 100644 index 0000000..19ccc7b --- /dev/null +++ b/src/fftw3/rdft/rbuffered.c @@ -0,0 +1,299 @@ +/* + * 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 + * + */ + +/* $Id: rbuffered.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +typedef struct { + int nbuf; + int maxbufsz; + int skew_alignment; + int skew; + const char *nam; +} bufadt; + +typedef struct { + solver super; + const bufadt *adt; +} S; + +typedef struct { + plan_rdft super; + + plan *cld, *cldcpy, *cldrest; + int n, vl, nbuf, bufdist; + int ivs, ovs; + + const S *slv; +} P; + +/* transform a vector input with the help of bufs */ +static void apply(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + plan_rdft *cld = (plan_rdft *) ego->cld; + plan_rdft *cldcpy = (plan_rdft *) ego->cldcpy; + plan_rdft *cldrest; + int i, vl = ego->vl, nbuf = ego->nbuf; + int ivs = ego->ivs, ovs = ego->ovs; + R *bufs; + + bufs = (R *)MALLOC(sizeof(R) * nbuf * ego->bufdist, BUFFERS); + + for (i = nbuf; i <= vl; i += nbuf) { + /* transform to bufs: */ + cld->apply((plan *) cld, I, bufs); + I += ivs; + + /* copy back */ + cldcpy->apply((plan *) cldcpy, bufs, O); + O += ovs; + } + + /* Do the remaining transforms, if any: */ + cldrest = (plan_rdft *) ego->cldrest; + cldrest->apply((plan *) cldrest, I, O); + + X(ifree)(bufs); +} + + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + + AWAKE(ego->cld, flg); + AWAKE(ego->cldcpy, flg); + AWAKE(ego->cldrest, flg); +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + X(plan_destroy_internal)(ego->cldrest); + X(plan_destroy_internal)(ego->cldcpy); + X(plan_destroy_internal)(ego->cld); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + p->print(p, "(%s-%d%v/%d-%d%(%p%)%(%p%)%(%p%))", + ego->slv->adt->nam, + ego->n, ego->nbuf, + ego->vl, ego->bufdist % ego->n, + ego->cld, ego->cldcpy, ego->cldrest); +} + + +static int compute_nbuf(int n, int vl, const S *ego) +{ + return X(compute_nbuf)(n, vl, ego->adt->nbuf, ego->adt->maxbufsz); +} + +static int toobig(int n, const S *ego) +{ + return (n > ego->adt->maxbufsz); +} + +static int applicable0(const problem *p_, const S *ego, const planner *plnr) +{ + if (RDFTP(p_)) { + const problem_rdft *p = (const problem_rdft *) p_; + iodim *d = p->sz->dims; + + if (1 + && p->vecsz->rnk <= 1 + && p->sz->rnk == 1 + ) { + + if (toobig(p->sz->dims[0].n, ego) && CONSERVE_MEMORYP(plnr)) + return 0; + + /* + In principle, the buffered transforms might be useful + when working out of place. However, in order to + prevent infinite loops in the planner, we require + that the output stride of the buffered transforms be + greater than 1. + */ + if (p->I != p->O) + return (d[0].os > 1); + + /* We can always do a single transform in-place */ + if (p->vecsz->rnk == 0) + return 1; + + /* + * If the problem is in place, the input/output strides must + * be the same or the whole thing must fit in the buffer. + */ + return ((X(tensor_inplace_strides2)(p->sz, p->vecsz)) + || (compute_nbuf(d[0].n, p->vecsz->dims[0].n, ego) + == p->vecsz->dims[0].n)); + } + } + return 0; +} + +static int applicable(const problem *p_, const S *ego, const planner *plnr) +{ + const problem_rdft *p; + + if (NO_BUFFERINGP(plnr)) return 0; + if (!applicable0(p_, ego, plnr)) return 0; + + p = (const problem_rdft *) p_; + if (NO_UGLYP(plnr)) { + if (p->I != p->O) return 0; + if (toobig(p->sz->dims[0].n, ego)) return 0; + } + return 1; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + const bufadt *adt = ego->adt; + P *pln; + plan *cld = (plan *) 0; + plan *cldcpy = (plan *) 0; + plan *cldrest = (plan *) 0; + const problem_rdft *p = (const problem_rdft *) p_; + R *bufs = (R *) 0; + int nbuf = 0, bufdist, n, vl; + int ivs, ovs; + + static const plan_adt padt = { + X(rdft_solve), awake, print, destroy + }; + + + if (!applicable(p_, ego, plnr)) + goto nada; + + n = X(tensor_sz)(p->sz); + X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs); + + nbuf = compute_nbuf(n, vl, ego); + A(nbuf > 0); + + /* + * Determine BUFDIST, the offset between successive array bufs. + * bufdist = n + skew, where skew is chosen such that bufdist % + * skew_alignment = skew. + */ + if (vl == 1) { + bufdist = n; + } else { + bufdist = + n + ((adt->skew_alignment + adt->skew - n % adt->skew_alignment) + % adt->skew_alignment); + A(p->vecsz->rnk == 1); + } + + /* initial allocation for the purpose of planning */ + bufs = (R *) MALLOC(sizeof(R) * nbuf * bufdist, BUFFERS); + + cld = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)( + X(mktensor_1d)(n, p->sz->dims[0].is, 1), + X(mktensor_1d)(nbuf, ivs, bufdist), + TAINT(p->I, ivs * nbuf), bufs, p->kind)); + if (!cld) goto nada; + + /* copying back from the buffer is a rank-0 transform: */ + cldcpy = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)( + X(mktensor_0d)(), + X(mktensor_2d)(nbuf, bufdist, ovs, + n, 1, p->sz->dims[0].os), + bufs, TAINT(p->O, ovs * nbuf), + (rdft_kind *) 0)); + if (!cldcpy) goto nada; + + /* deallocate buffers, let apply() allocate them for real */ + X(ifree)(bufs); + bufs = 0; + + /* plan the leftover transforms (cldrest): */ + { + int id = ivs * (nbuf * (vl / nbuf)); + int od = ovs * (nbuf * (vl / nbuf)); + cldrest = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)( + X(tensor_copy)(p->sz), + X(mktensor_1d)(vl % nbuf, ivs, ovs), + p->I + id, p->O + od, p->kind)); + } + if (!cldrest) goto nada; + + pln = MKPLAN_RDFT(P, &padt, apply); + pln->cld = cld; + pln->cldcpy = cldcpy; + pln->cldrest = cldrest; + pln->slv = ego; + pln->n = n; + pln->vl = vl; + pln->ivs = ivs * nbuf; + pln->ovs = ovs * nbuf; + + pln->nbuf = nbuf; + pln->bufdist = bufdist; + + { + opcnt t; + X(ops_add)(&cld->ops, &cldcpy->ops, &t); + X(ops_madd)(vl / nbuf, &t, &cldrest->ops, &pln->super.super.ops); + } + + return &(pln->super.super); + + nada: + X(ifree0)(bufs); + X(plan_destroy_internal)(cldrest); + X(plan_destroy_internal)(cldcpy); + X(plan_destroy_internal)(cld); + return (plan *) 0; +} + +static solver *mksolver(const bufadt *adt) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->adt = adt; + return &(slv->super); +} + + +void X(rdft_buffered_register)(planner *p) +{ + /* FIXME: what are good defaults? */ + static const bufadt adt = { + /* nbuf */ 8, + /* maxbufsz */ (65536 / sizeof(R)), + /* skew_alignment */ 8, + /* skew */ 5, + /* nam */ "rdft-buffered" + }; + + REGISTER_SOLVER(p, mksolver(&adt)); +} diff --git a/src/fftw3/rdft/rconf.c b/src/fftw3/rdft/rconf.c new file mode 100644 index 0000000..2c65d4c --- /dev/null +++ b/src/fftw3/rdft/rconf.c @@ -0,0 +1,62 @@ +/* + * 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 + * + */ + +/* $Id: rconf.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +static const solvtab s = +{ + SOLVTAB(X(rdft_indirect_register)), + SOLVTAB(X(rdft_rank0_register)), + SOLVTAB(X(rdft_vrank_geq1_register)), + /* + SOLVTAB(X(rdft_vrank2_transpose_register)), + SOLVTAB(X(rdft_vrank3_transpose_register)), + */ + SOLVTAB(X(rdft_nop_register)), + SOLVTAB(X(rdft_buffered_register)), + SOLVTAB(X(rdft_rader_hc2hc_register)), + SOLVTAB(X(rdft_generic_register)), + SOLVTAB(X(rdft_rank_geq2_register)), + + SOLVTAB(X(dft_r2hc_register)), + + SOLVTAB(X(rdft_dht_register)), + SOLVTAB(X(dht_r2hc_register)), + SOLVTAB(X(dht_rader_register)), + + SOLVTAB(X(rdft2_vrank_geq1_register)), + SOLVTAB(X(rdft2_nop_register)), + SOLVTAB(X(rdft2_rank0_register)), + SOLVTAB(X(rdft2_buffered_register)), + SOLVTAB(X(rdft2_rank_geq2_register)), + SOLVTAB(X(rdft2_radix2_register)), + + SOLVTAB_END +}; + +void X(rdft_conf_standard)(planner *p) +{ + X(solvtab_exec)(s, p); + X(solvtab_exec)(X(solvtab_rdft_r2hc), p); + X(solvtab_exec)(X(solvtab_rdft_hc2r), p); + X(solvtab_exec)(X(solvtab_rdft_r2r), p); +} diff --git a/src/fftw3/rdft/rdft-dht.c b/src/fftw3/rdft/rdft-dht.c new file mode 100644 index 0000000..f384fef --- /dev/null +++ b/src/fftw3/rdft/rdft-dht.c @@ -0,0 +1,223 @@ +/* + * 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 + * + */ + +/* $Id: rdft-dht.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* Solve an R2HC/HC2R problem via post/pre processing of a DHT. This + is mainly useful because we can use Rader to compute DHTs of prime + sizes. It also allows us to express hc2r problems in terms of r2hc + (via dht-r2hc), and to do hc2r problems without destroying the input. */ + +#include "rdft.h" + +typedef struct { + solver super; +} S; + +typedef struct { + plan_rdft super; + plan *cld; + int is, os; + int n; +} P; + +static void apply_r2hc(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int os; + int i, n; + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } + + n = ego->n; + os = ego->os; + for (i = 1; i < n - i; ++i) { + E a, b; + a = K(0.5) * O[os * i]; + b = K(0.5) * O[os * (n - i)]; + O[os * i] = a + b; +#if FFT_SIGN == -1 + O[os * (n - i)] = b - a; +#else + O[os * (n - i)] = a - b; +#endif + } +} + +/* hc2r, destroying input as usual */ +static void apply_hc2r(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int is = ego->is; + int i, n = ego->n; + + for (i = 1; i < n - i; ++i) { + E a, b; + a = I[is * i]; + b = I[is * (n - i)]; +#if FFT_SIGN == -1 + I[is * i] = a - b; + I[is * (n - i)] = a + b; +#else + I[is * i] = a + b; + I[is * (n - i)] = a - b; +#endif + } + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } +} + +/* hc2r, without destroying input */ +static void apply_hc2r_save(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int is = ego->is, os = ego->os; + int i, n = ego->n; + + O[0] = I[0]; + for (i = 1; i < n - i; ++i) { + E a, b; + a = I[is * i]; + b = I[is * (n - i)]; +#if FFT_SIGN == -1 + O[os * i] = a - b; + O[os * (n - i)] = a + b; +#else + O[os * i] = a + b; + O[os * (n - i)] = a - b; +#endif + } + if (i == n - i) + O[os * i] = I[is * i]; + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, O, O); + } +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + AWAKE(ego->cld, flg); +} + +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, "(%s-dht-%d%(%p%))", + ego->super.apply == apply_r2hc ? "r2hc" : "hc2r", + ego->n, ego->cld); +} + +static int applicable0(const solver *ego_, const problem *p_) +{ + UNUSED(ego_); + if (RDFTP(p_)) { + const problem_rdft *p = (const problem_rdft *) p_; + return (1 + && p->sz->rnk == 1 + && p->vecsz->rnk == 0 + && (p->kind[0] == R2HC || p->kind[0] == HC2R) + + /* hack: size-2 DHT etc. are defined as being equivalent + to size-2 R2HC in problem.c, so we need this to prevent + infinite loops for size 2 in EXHAUSTIVE mode: */ + && p->sz->dims[0].n > 2 + ); + } + return 0; +} + +static int applicable(const solver *ego, const problem *p_, + const planner *plnr) +{ + return (!NO_UGLYP(plnr) && applicable0(ego, p_)); +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + P *pln; + const problem_rdft *p; + problem *cldp; + plan *cld; + + static const plan_adt padt = { + X(rdft_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr)) + return (plan *)0; + + p = (const problem_rdft *) p_; + + if (p->kind[0] == R2HC || DESTROY_INPUTP(plnr)) + cldp = X(mkproblem_rdft_1)(p->sz, p->vecsz, p->I, p->O, DHT); + else { + tensor *sz = X(tensor_copy_inplace)(p->sz, INPLACE_OS); + cldp = X(mkproblem_rdft_1)(sz, p->vecsz, p->O, p->O, DHT); + X(tensor_destroy)(sz); + } + cld = X(mkplan_d)(plnr, cldp); + if (!cld) return (plan *)0; + + pln = MKPLAN_RDFT(P, &padt, p->kind[0] == R2HC ? + apply_r2hc : (DESTROY_INPUTP(plnr) ? + apply_hc2r : apply_hc2r_save)); + pln->n = p->sz->dims[0].n; + pln->is = p->sz->dims[0].is; + pln->os = p->sz->dims[0].os; + pln->cld = cld; + + pln->super.super.ops = cld->ops; + pln->super.super.ops.other += 4 * ((pln->n - 1)/2); + pln->super.super.ops.add += 2 * ((pln->n - 1)/2); + if (p->kind[0] == R2HC) + pln->super.super.ops.mul += 2 * ((pln->n - 1)/2); + if (pln->super.apply == apply_hc2r_save) + pln->super.super.ops.other += 2 + (pln->n % 2 ? 0 : 2); + + return &(pln->super.super); +} + +/* constructor */ +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + return &(slv->super); +} + +void X(rdft_dht_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/rdft/rdft.h b/src/fftw3/rdft/rdft.h new file mode 100644 index 0000000..375b278 --- /dev/null +++ b/src/fftw3/rdft/rdft.h @@ -0,0 +1,161 @@ +/* + * 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 + * + */ + +#ifndef __RDFT_H__ +#define __RDFT_H__ + +#include "ifftw.h" +#include "codelet-rdft.h" + +/* problem.c: */ +typedef struct { + problem super; + tensor *sz, *vecsz; + R *I, *O; +#if defined(STRUCT_HACK_KR) + rdft_kind kind[1]; +#elif defined(STRUCT_HACK_C99) + rdft_kind kind[]; +#else + rdft_kind *kind; +#endif +} problem_rdft; + +int X(problem_rdft_p)(const problem *p); +#define RDFTP X(problem_rdft_p) /* shorthand */ + +void X(rdft_zerotens)(tensor *sz, R *I); +problem *X(mkproblem_rdft)(const tensor *sz, const tensor *vecsz, + R *I, R *O, const rdft_kind *kind); +problem *X(mkproblem_rdft_d)(tensor *sz, tensor *vecsz, + R *I, R *O, const rdft_kind *kind); +problem *X(mkproblem_rdft_1)(const tensor *sz, const tensor *vecsz, + R *I, R *O, rdft_kind kind); +problem *X(mkproblem_rdft_1_d)(tensor *sz, tensor *vecsz, + R *I, R *O, rdft_kind kind); + +const char *X(rdft_kind_str)(rdft_kind kind); + +/* solve.c: */ +void X(rdft_solve)(const plan *ego_, const problem *p_); + +/* plan.c: */ +typedef void (*rdftapply) (const plan *ego, R *I, R *O); + +typedef struct { + plan super; + rdftapply apply; +} plan_rdft; + +plan *X(mkplan_rdft)(size_t size, const plan_adt *adt, rdftapply apply); + +#define MKPLAN_RDFT(type, adt, apply) \ + (type *)X(mkplan_rdft)(sizeof(type), adt, apply) + +/* various solvers */ + +solver *X(mksolver_rdft_r2hc_direct)(kr2hc k, const kr2hc_desc *desc); +solver *X(mksolver_rdft_hc2r_direct)(khc2r k, const khc2r_desc *desc); +solver *X(mksolver_rdft_r2r_direct)(kr2r k, const kr2r_desc *desc); +solver *X(mksolver_rdft_hc2hc_dit)(khc2hc k, const hc2hc_desc *desc); +solver *X(mksolver_rdft_hc2hc_ditbuf)(khc2hc k, const hc2hc_desc *desc); +solver *X(mksolver_rdft_hc2hc_dif)(khc2hc k, const hc2hc_desc *desc); +solver *X(mksolver_rdft_hc2hc_difbuf)(khc2hc k, const hc2hc_desc *desc); + +extern void (*X(khc2hc_dit_register_hook))(planner *, khc2hc, const hc2hc_desc *); +extern void (*X(khc2hc_dif_register_hook))(planner *, khc2hc, const hc2hc_desc *); + +void X(rdft_rank0_register)(planner *p); +void X(rdft_rank_geq2_register)(planner *p); +void X(rdft_indirect_register)(planner *p); +void X(rdft_vrank_geq1_register)(planner *p); +void X(rdft_vrank2_transpose_register)(planner *p); +void X(rdft_vrank3_transpose_register)(planner *p); +void X(rdft_buffered_register)(planner *p); +void X(rdft_generic_register)(planner *p); +void X(rdft_rader_hc2hc_register)(planner *p); +void X(rdft_dht_register)(planner *p); +void X(dht_r2hc_register)(planner *p); +void X(dht_rader_register)(planner *p); +void X(dft_r2hc_register)(planner *p); +void X(rdft_nop_register)(planner *p); + +/****************************************************************************/ +/* problem2.c: */ +/* an RDFT2 problem transforms a 1d real array r[n] with stride is/os + to/from an "unpacked" complex array {rio,iio}[n/2 + 1] with stride + os/is. Multidimensional transforms use complex DFTs for the + noncontiguous dimensions. vecsz has the usual interpretation. */ +typedef struct { + problem super; + tensor *sz; + tensor *vecsz; + R *r, *rio, *iio; + rdft_kind kind; /* R2HC or HC2R */ +} problem_rdft2; + +int X(problem_rdft2_p)(const problem *p); +#define RDFT2P X(problem_rdft2_p) /* shorthand */ + +problem *X(mkproblem_rdft2)(const tensor *sz, const tensor *vecsz, + R *r, R *rio, R *iio, rdft_kind kind); +problem *X(mkproblem_rdft2_d)(tensor *sz, tensor *vecsz, + R *r, R *rio, R *iio, rdft_kind kind); +int X(rdft2_inplace_strides)(const problem_rdft2 *p, int vdim); +int X(rdft2_tensor_max_index)(const tensor *sz, rdft_kind k); +void X(rdft2_strides)(rdft_kind kind, const iodim *d, int *is, int *os); + +/* verify.c: */ +void X(rdft2_verify)(plan *pln, const problem_rdft2 *p, int rounds); + +/* solve.c: */ +void X(rdft2_solve)(const plan *ego_, const problem *p_); + +/* plan.c: */ +typedef void (*rdft2apply) (const plan *ego, R *r, R *rio, R *iio); + +typedef struct { + plan super; + rdft2apply apply; +} plan_rdft2; + +plan *X(mkplan_rdft2)(size_t size, const plan_adt *adt, rdft2apply apply); + +#define MKPLAN_RDFT2(type, adt, apply) \ + (type *)X(mkplan_rdft2)(sizeof(type), adt, apply) + +/* various solvers */ + +solver *X(mksolver_rdft2_r2hc_direct)(kr2hc k, const kr2hc_desc *desc); +solver *X(mksolver_rdft2_hc2r_direct)(khc2r k, const khc2r_desc *desc); + +void X(rdft2_vrank_geq1_register)(planner *p); +void X(rdft2_buffered_register)(planner *p); +void X(rdft2_nop_register)(planner *p); +void X(rdft2_rank0_register)(planner *p); +void X(rdft2_rank_geq2_register)(planner *p); +void X(rdft2_radix2_register)(planner *p); + +/****************************************************************************/ + +/* configurations */ +void X(rdft_conf_standard)(planner *p); + +#endif /* __RDFT_H__ */ diff --git a/src/fftw3/rdft/rdft2-inplace-strides.c b/src/fftw3/rdft/rdft2-inplace-strides.c new file mode 100644 index 0000000..2171672 --- /dev/null +++ b/src/fftw3/rdft/rdft2-inplace-strides.c @@ -0,0 +1,61 @@ +/* + * 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 + * + */ + +/* $Id: rdft2-inplace-strides.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +/* Check if the vecsz/sz strides are consistent with the problem + being in-place for vecsz.dim[vdim], or for all dimensions + if vdim == RNK_MINFTY. We can't just use tensor_inplace_strides + because rdft transforms have the unfortunate property of + differing input and output sizes. This routine is not + exhaustive; we only return 1 for the most common case. */ +int X(rdft2_inplace_strides)(const problem_rdft2 *p, int vdim) +{ + int N, Nc; + int is, os; + int i; + + for (i = 0; i + 1 < p->sz->rnk; ++i) + if (p->sz->dims[i].is != p->sz->dims[i].os) + return 0; + + if (!FINITE_RNK(p->vecsz->rnk) || p->vecsz->rnk == 0) + return 1; + if (!FINITE_RNK(vdim)) { /* check all vector dimensions */ + for (vdim = 0; vdim < p->vecsz->rnk; ++vdim) + if (!X(rdft2_inplace_strides)(p, vdim)) + return 0; + return 1; + } + + A(vdim < p->vecsz->rnk); + if (p->sz->rnk == 0) + return(p->vecsz->dims[vdim].is == p->vecsz->dims[vdim].os); + + N = X(tensor_sz)(p->sz); + Nc = (N / p->sz->dims[p->sz->rnk-1].n) * + (p->sz->dims[p->sz->rnk-1].n/2 + 1); + X(rdft2_strides)(p->kind, p->sz->dims + p->sz->rnk - 1, &is, &os); + return(p->vecsz->dims[vdim].is == p->vecsz->dims[vdim].os + && X(iabs)(p->vecsz->dims[vdim].os) + >= X(imax)(Nc * X(iabs)(os), N * X(iabs)(is))); +} diff --git a/src/fftw3/rdft/rdft2-radix2.c b/src/fftw3/rdft/rdft2-radix2.c new file mode 100644 index 0000000..280d642 --- /dev/null +++ b/src/fftw3/rdft/rdft2-radix2.c @@ -0,0 +1,479 @@ +/* + * 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 + * + */ + +/* $Id: rdft2-radix2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* + Compute RDFT2 of even size via either a DFT or a vector RDFT of + size n/2. + + This file is meant as a temporary hack until we do the right thing. + + The right thing is: 1) get rid of reduction to DFT, and 2) implement + arbitrary even-radix reduction to RDFT. We currently reduce to DFT + so as to exploit the SIMD code. We currently do only radix-2 in + order to avoid generating yet another set of codelets. +*/ + +#include "rdft.h" +#include "dft.h" + +typedef struct { + int (*applicable) (const problem *p_, const planner *plnr); + void (*apply) (const plan *ego_, R *r, R *rio, R *iio); + problem *(*mkcld) (const problem_rdft2 *p); + opcnt ops; + const char *nam; +} madt; + +typedef struct { + solver super; + const madt *adt; +} S; + +typedef struct { + plan_dft super; + plan *cld; + twid *td; + int is, os, ivs, ovs; + int n, vl; + const S *slv; +} P; + +/* common applicability function of forward problems */ +static int applicable_f(const problem *p_, const planner *plnr) +{ + UNUSED(plnr); + if (RDFT2P(p_)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + return (1 + && p->kind == R2HC + && p->vecsz->rnk <= 1 + && p->sz->rnk == 1 + && (p->sz->dims[0].n % 2) == 0 + ); + } + + return 0; +} + +static int applicable_f_dft(const problem *p_, const planner *plnr) +{ + UNUSED(plnr); + if (applicable_f(p_, plnr)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + return(p->r != p->rio + || (p->iio == p->rio + p->sz->dims[0].is + && p->sz->dims[0].os == 2 * p->sz->dims[0].is)); + } + return 0; +} + +/* common applicability function of backward problems */ +static int applicable_b(const problem *p_, const planner *plnr) +{ + if (RDFT2P(p_)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + return (1 + && p->kind == HC2R + && (p->r == p->rio || DESTROY_INPUTP(plnr)) + && p->vecsz->rnk <= 1 + && p->sz->rnk == 1 + && (p->sz->dims[0].n % 2) == 0 + ); + } + + return 0; +} + +static int applicable_b_dft(const problem *p_, const planner *plnr) +{ + UNUSED(plnr); + if (applicable_b(p_, plnr)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + return(p->r != p->rio + || (p->iio == p->rio + p->sz->dims[0].os + && p->sz->dims[0].is == 2 * p->sz->dims[0].os)); + } + return 0; +} + +/* + * forward rdft2 via dft + */ +static void k_f_dft(R *rio, R *iio, const R *W, int n, int dist) +{ + int i; + R *pp = rio, *pm = rio + n * dist; + int im = iio - rio; + + /* i = 0 and i = n */ + { + E rop = pp[0], iop = pp[im]; + pp[0] = rop + iop; + pm[0] = rop - iop; + pp[im] = K(0.0); + pm[im] = K(0.0); + pp += dist; pm -= dist; + } + + /* middle elements */ + for (W += 2, i = 2; i < n; i += 2, W += 2) { + E rop = pp[0], iop = pp[im], rom = pm[0], iom = pm[im]; + E wr = W[0], wi = W[1]; + E re = rop + rom; + E ie = iop - iom; + E rd = rom - rop; + E id = iop + iom; + E tr = rd * wr - id * wi; + E ti = id * wr + rd * wi; + pp[0] = K(0.5) * (re + ti); + pp[im] = K(0.5) * (ie + tr); + pm[0] = K(0.5) * (re - ti); + pm[im] = K(0.5) * (tr - ie); + pp += dist; pm -= dist; + } + + /* i = n/2 when n is even */ + if (!(n & 1)) pp[im] = -pp[im]; +} + +static void apply_f_dft(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + + { + /* transform input as a vector of complex numbers */ + plan_dft *cld = (plan_dft *) ego->cld; + cld->apply((plan *) cld, r, r + ego->is, rio, iio); + } + + { + int i, vl = ego->vl, n2 = ego->n / 2; + int ovs = ego->ovs, os = ego->os; + const R *W = ego->td->W; + for (i = 0; i < vl; ++i, rio += ovs, iio += ovs) + k_f_dft(rio, iio, W, n2, os); + } +} + +static problem *mkcld_f_dft(const problem_rdft2 *p) +{ + const iodim *d = p->sz->dims; + return X(mkproblem_dft_d) ( + X(mktensor_1d)(d[0].n / 2, d[0].is * 2, d[0].os), + X(tensor_copy)(p->vecsz), + p->r, p->r + d[0].is, p->rio, p->iio); +} + +static const madt adt_f_dft = { + applicable_f_dft, apply_f_dft, mkcld_f_dft, {10, 8, 0, 0}, "r2hc2-dft" +}; + +/* + * forward rdft2 via rdft + */ +static void k_f_rdft(R *rio, R *iio, const R *W, int n, int dist) +{ + int i; + R *pp = rio, *pm = rio + n * dist; + int im = iio - rio; + + /* i = 0 and i = n */ + { + E rop = pp[0], iop = pp[im]; + pp[0] = rop + iop; + pm[0] = rop - iop; + pp[im] = K(0.0); + pm[im] = K(0.0); + pp += dist; pm -= dist; + } + + /* middle elements */ + for (W += 2, i = 2; i < n; i += 2, W += 2) { + E r0 = pp[0], r1 = pp[im], i0 = pm[0], i1 = pm[im]; + E wr = W[0], wi = W[1]; + E tr = r1 * wr + i1 * wi; + E ti = i1 * wr - r1 * wi; + pp[0] = r0 + tr; + pp[im] = i0 + ti; + pm[0] = r0 - tr; + pm[im] = ti - i0; + pp += dist; pm -= dist; + } + + /* i = n/2 when n is even */ + if (!(n & 1)) pp[im] = -pp[im]; +} + +static void apply_f_rdft(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, r, rio); + } + + { + int i, vl = ego->vl, n2 = ego->n / 2; + int ovs = ego->ovs, os = ego->os; + const R *W = ego->td->W; + for (i = 0; i < vl; ++i, rio += ovs, iio += ovs) + k_f_rdft(rio, iio, W, n2, os); + } +} + +static problem *mkcld_f_rdft(const problem_rdft2 *p) +{ + const iodim *d = p->sz->dims; + + tensor *radix = X(mktensor_1d)(2, d[0].is, p->iio - p->rio); + tensor *cld_vec = X(tensor_append)(radix, p->vecsz); + X(tensor_destroy)(radix); + + return X(mkproblem_rdft_1_d) ( + X(mktensor_1d)(d[0].n / 2, 2 * d[0].is, d[0].os), + cld_vec, p->r, p->rio, R2HC); +} + +static const madt adt_f_rdft = { + applicable_f, apply_f_rdft, mkcld_f_rdft, {6, 4, 0, 0}, "r2hc2-rdft" +}; + + +/* + * backward rdft2 via dft + */ +static void k_b_dft(R *rio, R *iio, const R *W, int n, int dist) +{ + int i; + R *pp = rio, *pm = rio + n * dist; + int im = iio - rio; + + /* i = 0 and i = n */ + { + E rop = pp[0], iop = pm[0]; + pp[0] = rop + iop; + pp[im] = rop - iop; + pp += dist; pm -= dist; + } + + /* middle elements */ + for (W += 2, i = 2; i < n; i += 2, W += 2) { + E a = pp[0], b = pp[im], c = pm[0], d = pm[im]; + E wr = W[0], wi = W[1]; + E re = a + c, ti = a - c, ie = b - d, tr = b + d; + E rd = tr * wr + ti * wi; + E id = ti * wr - tr * wi; + pp[0] = re - rd; + pp[im] = ie + id; + pm[0] = re + rd; + pm[im] = id - ie; + pp += dist; pm -= dist; + } + + /* i = n/2 when n is even */ + if (!(n & 1)) { pp[0] *= K(2.0); pp[im] *= -K(2.0); } +} + +static void apply_b_dft(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + { + int i, vl = ego->vl, n2 = ego->n / 2; + int ivs = ego->ivs, is = ego->is; + const R *W = ego->td->W; + R *rio1 = rio, *iio1 = iio; + for (i = 0; i < vl; ++i, rio1 += ivs, iio1 += ivs) + k_b_dft(rio1, iio1, W, n2, is); + } + + { + plan_dft *cld = (plan_dft *) ego->cld; + /* swap r/i because of backward transform */ + cld->apply((plan *) cld, iio, rio, r + ego->os, r); + } +} + +static problem *mkcld_b_dft(const problem_rdft2 *p) +{ + const iodim *d = p->sz->dims; + + return X(mkproblem_dft_d) ( + X(mktensor_1d)(d[0].n / 2, d[0].is, 2 * d[0].os), + X(tensor_copy)(p->vecsz), + p->iio, p->rio, p->r + d[0].os, p->r); +} + +static const madt adt_b_dft = { + applicable_b_dft, apply_b_dft, mkcld_b_dft, {10, 8, 0, 0}, "hc2r2-dft" +}; + +/* + * backward rdft2 via backward rdft + */ +static void k_b_rdft(R *rio, R *iio, const R *W, int n, int dist) +{ + int i; + R *pp = rio, *pm = rio + n * dist; + int im = iio - rio; + + /* i = 0 and i = n */ + { + E rop = pp[0], iop = pm[0]; + pp[0] = rop + iop; + pp[im] = rop - iop; + pp += dist; pm -= dist; + } + + /* middle elements */ + for (W += 2, i = 2; i < n; i += 2, W += 2) { + E a = pp[0], b = pp[im], c = pm[0], d = pm[im]; + E wr = W[0], wi = W[1]; + E r0 = a + c, r1 = a - c, i0 = b - d, i1 = b + d; + pp[0] = r0; + pm[0] = i0; + pp[im] = r1 * wr - i1 * wi; + pm[im] = i1 * wr + r1 * wi; + pp += dist; pm -= dist; + } + + /* i = n/2 when n is even */ + if (!(n & 1)) { pp[0] *= K(2.0); pp[im] *= -K(2.0); } +} + +static void apply_b_rdft(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + + { + int i, vl = ego->vl, n2 = ego->n / 2; + int ivs = ego->ivs, is = ego->is; + const R *W = ego->td->W; + R *rio1 = rio, *iio1 = iio; + for (i = 0; i < vl; ++i, rio1 += ivs, iio1 += ivs) + k_b_rdft(rio1, iio1, W, n2, is); + } + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, rio, r); + } +} + +static problem *mkcld_b_rdft(const problem_rdft2 *p) +{ + const iodim *d = p->sz->dims; + + tensor *radix = X(mktensor_1d)(2, p->iio - p->rio, d[0].os); + tensor *cld_vec = X(tensor_append)(radix, p->vecsz); + X(tensor_destroy)(radix); + + return X(mkproblem_rdft_1_d) ( + X(mktensor_1d)(d[0].n / 2, d[0].is, 2 * d[0].os), + cld_vec, p->rio, p->r, HC2R); +} + +static const madt adt_b_rdft = { + applicable_b, apply_b_rdft, mkcld_b_rdft, {6, 4, 0, 0}, "hc2r2-rdft" +}; + +/* + * common stuff + */ +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + static const tw_instr twinstr[] = { {TW_FULL, 0, 2}, {TW_NEXT, 1, 0} }; + AWAKE(ego->cld, flg); + X(twiddle_awake)(flg, &ego->td, twinstr, ego->n, 2, (ego->n / 2 + 1) / 2); +} + +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, "(%s-%d%v%(%p%))", ego->slv->adt->nam, + ego->n, ego->vl, ego->cld); +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + P *pln; + const problem_rdft2 *p; + plan *cld; + const iodim *d; + + static const plan_adt padt = { + X(rdft2_solve), awake, print, destroy + }; + + if (!ego->adt->applicable(p_, plnr)) + return (plan *) 0; + + p = (const problem_rdft2 *) p_; + + cld = X(mkplan_d)(plnr, ego->adt->mkcld(p)); + if (!cld) return (plan *) 0; + + pln = MKPLAN_RDFT2(P, &padt, ego->adt->apply); + + d = p->sz->dims; + pln->n = d[0].n; + pln->os = d[0].os; + pln->is = d[0].is; + X(tensor_tornk1) (p->vecsz, &pln->vl, &pln->ivs, &pln->ovs); + pln->cld = cld; + pln->td = 0; + pln->slv = ego; + + /* approximately */ + X(ops_madd)(pln->vl * ((pln->n/2 + 1) / 2), &ego->adt->ops, + &cld->ops, &pln->super.super.ops); + + return &(pln->super.super); +} + +static solver *mksolver(const madt *adt) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->adt = adt; + return &(slv->super); +} + +void X(rdft2_radix2_register)(planner *p) +{ + unsigned i; + static const madt *const adts[] = { + &adt_f_dft, &adt_f_rdft, + &adt_b_dft, &adt_b_rdft + }; + + for (i = 0; i < sizeof(adts) / sizeof(adts[0]); ++i) + REGISTER_SOLVER(p, mksolver(adts[i])); +} diff --git a/src/fftw3/rdft/rdft2-strides.c b/src/fftw3/rdft/rdft2-strides.c new file mode 100644 index 0000000..bcd98d2 --- /dev/null +++ b/src/fftw3/rdft/rdft2-strides.c @@ -0,0 +1,38 @@ +/* + * 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" + +/* Deal with annoyance because the tensor (is,os) applies to + (r,rio/iio) for R2HC and vice-versa for HC2R. We originally had + (is,os) always apply to (r,rio/iio), but this causes other + headaches with the tensor functions. */ +void X(rdft2_strides)(rdft_kind kind, const iodim *d, int *is, int *os) +{ + if (kind == R2HC) { + *is = d->is; + *os = d->os; + } + else { + A(kind == HC2R); + *is = d->os; + *os = d->is; + } +} diff --git a/src/fftw3/rdft/rdft2-tensor-max-index.c b/src/fftw3/rdft/rdft2-tensor-max-index.c new file mode 100644 index 0000000..0d29af3 --- /dev/null +++ b/src/fftw3/rdft/rdft2-tensor-max-index.c @@ -0,0 +1,44 @@ +/* + * 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 + * + */ + +/* $Id: rdft2-tensor-max-index.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +/* like X(tensor_max_index), but takes into account the special n/2+1 + final dimension for the complex output/input of an R2HC/HC2R transform. */ +int X(rdft2_tensor_max_index)(const tensor *sz, rdft_kind k) +{ + int i; + int n = 0; + + A(FINITE_RNK(sz->rnk)); + for (i = 0; i + 1 < sz->rnk; ++i) { + const iodim *p = sz->dims + i; + n += (p->n - 1) * X(imax)(X(iabs)(p->is), X(iabs)(p->os)); + } + if (i < sz->rnk) { + const iodim *p = sz->dims + i; + int is, os; + X(rdft2_strides)(k, p, &is, &os); + n += X(imax)((p->n - 1) * X(iabs)(is), (p->n/2) * X(iabs)(os)); + } + return n; +} diff --git a/src/fftw3/rdft/rdirect.c b/src/fftw3/rdft/rdirect.c new file mode 100644 index 0000000..97dd16e --- /dev/null +++ b/src/fftw3/rdft/rdirect.c @@ -0,0 +1,259 @@ +/* + * 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 + * + */ + +/* $Id: rdirect.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* direct RDFT R2HC/HC2R solver, if we have a codelet */ + +#include "rdft.h" + +typedef union { + kr2hc r2hc; + khc2r hc2r; + kr2r r2r; +} kodelet; + +typedef struct { + solver super; + union { + const kr2hc_desc *r2hc; + const khc2r_desc *hc2r; + const kr2r_desc *r2r; + } desc; + kodelet k; + int sz; + rdft_kind kind; + const char *nam; +} S; + +typedef struct { + plan_rdft super; + + stride is, ros, ios; + int ioffset; + int vl; + int ivs, ovs; + kodelet k; + const S *slv; +} P; + +static void apply_r2hc(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + ASSERT_ALIGNED_DOUBLE; + ego->k.r2hc(I, O, O + ego->ioffset, ego->is, ego->ros, ego->ios, + ego->vl, ego->ivs, ego->ovs); +} + +static void apply_hc2r(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + ASSERT_ALIGNED_DOUBLE; + ego->k.hc2r(I, I + ego->ioffset, O, ego->ros, ego->ios, ego->is, + ego->vl, ego->ivs, ego->ovs); +} + +static void apply_r2r(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + ASSERT_ALIGNED_DOUBLE; + ego->k.r2r(I, O, ego->is, ego->ros, ego->vl, ego->ivs, ego->ovs); +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + X(stride_destroy)(ego->is); + X(stride_destroy)(ego->ros); + if (!R2R_KINDP(ego->slv->kind)) + X(stride_destroy)(ego->ios); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + const S *s = ego->slv; + + p->print(p, "(rdft-%s-direct-%d%v \"%s\")", + X(rdft_kind_str)(s->kind), s->sz, ego->vl, s->nam); +} + +static int ioffset(rdft_kind kind, int sz, int s) +{ + return(s * ((kind == R2HC || kind == HC2R) ? sz : (sz - 1))); +} + +static int applicable(const solver *ego_, const problem *p_) +{ + if (RDFTP(p_)) { + const S *ego = (const S *) ego_; + const problem_rdft *p = (const problem_rdft *) p_; + int vl; + int ivs, ovs; + + return ( + 1 + && p->sz->rnk == 1 + && p->vecsz->rnk <= 1 + && p->sz->dims[0].n == ego->sz + && p->kind[0] == ego->kind + + /* check strides etc */ + && X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs) + + && (!R2HC_KINDP(ego->kind) || + ego->desc.r2hc->genus->okp(ego->desc.r2hc, p->I, p->O, p->O + + ioffset(ego->kind, ego->sz, p->sz->dims[0].os), + p->sz->dims[0].is, + p->sz->dims[0].os, -p->sz->dims[0].os, + vl, ivs, ovs)) + && (!HC2R_KINDP(ego->kind) || + ego->desc.hc2r->genus->okp(ego->desc.hc2r, p->I, p->I + + ioffset(ego->kind, ego->sz, p->sz->dims[0].is), p->O, + p->sz->dims[0].is, -p->sz->dims[0].is, + p->sz->dims[0].os, + vl, ivs, ovs)) + + && (!R2R_KINDP(ego->kind) || + ego->desc.r2r->genus->okp(ego->desc.r2r, p->I, p->O, + p->sz->dims[0].is, + p->sz->dims[0].os, + vl, ivs, ovs)) + + && (0 + /* can operate out-of-place */ + || p->I != p->O + + /* + * can compute one transform in-place, no matter + * what the strides are. + */ + || p->vecsz->rnk == 0 + + /* can operate in-place as long as strides are the same */ + || (X(tensor_inplace_strides2)(p->sz, p->vecsz)) + ) + ); + } + + return 0; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + P *pln; + const problem_rdft *p; + iodim *d; + int hc2r_kindp, r2r_kindp; + + static const plan_adt padt = { + X(rdft_solve), X(null_awake), print, destroy + }; + + UNUSED(plnr); + + if (!applicable(ego_, p_)) + return (plan *)0; + + p = (const problem_rdft *) p_; + + hc2r_kindp = HC2R_KINDP(ego->kind); + r2r_kindp = R2R_KINDP(ego->kind); + + pln = MKPLAN_RDFT(P, &padt, + r2r_kindp ? apply_r2r : + (hc2r_kindp ? apply_hc2r : apply_r2hc)); + + d = p->sz->dims; + + pln->k = ego->k; + pln->ioffset = ioffset(ego->kind, d[0].n, hc2r_kindp ? d[0].is : d[0].os); + + pln->is = X(mkstride)(ego->sz, hc2r_kindp ? d[0].os : d[0].is); + if (r2r_kindp) { + pln->ros = X(mkstride)(ego->sz, d[0].os); + pln->ios = 0; + } + else { + int nr = (ego->kind == R2HC || ego->kind == HC2R) + ?(d[0].n + 2) / 2 : /* R2HCII */ (d[0].n + 1) / 2; + pln->ros = X(mkstride)(nr, hc2r_kindp ? d[0].is : d[0].os); + pln->ios = X(mkstride)(ego->sz - nr + 1, + hc2r_kindp ? -d[0].is : -d[0].os); + } + + X(tensor_tornk1)(p->vecsz, &pln->vl, &pln->ivs, &pln->ovs); + + pln->slv = ego; + X(ops_zero)(&pln->super.super.ops); + if (r2r_kindp) + X(ops_madd2)(pln->vl / ego->desc.r2r->genus->vl, + &ego->desc.r2r->ops, + &pln->super.super.ops); + else if (hc2r_kindp) + X(ops_madd2)(pln->vl / ego->desc.hc2r->genus->vl, + &ego->desc.hc2r->ops, + &pln->super.super.ops); + else + X(ops_madd2)(pln->vl / ego->desc.r2hc->genus->vl, + &ego->desc.r2hc->ops, + &pln->super.super.ops); + + return &(pln->super.super); +} + +/* constructor */ +solver *X(mksolver_rdft_r2hc_direct)(kr2hc k, const kr2hc_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->k.r2hc = k; + slv->desc.r2hc = desc; + slv->sz = desc->sz; + slv->nam = desc->nam; + slv->kind = desc->genus->kind; + return &(slv->super); +} + +solver *X(mksolver_rdft_hc2r_direct)(khc2r k, const khc2r_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->k.hc2r = k; + slv->desc.hc2r = desc; + slv->sz = desc->sz; + slv->nam = desc->nam; + slv->kind = desc->genus->kind; + return &(slv->super); +} + +solver *X(mksolver_rdft_r2r_direct)(kr2r k, const kr2r_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->k.r2r = k; + slv->desc.r2r = desc; + slv->sz = desc->sz; + slv->nam = desc->nam; + slv->kind = desc->kind; + return &(slv->super); +} + 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)); +} diff --git a/src/fftw3/rdft/rindirect.c b/src/fftw3/rdft/rindirect.c new file mode 100644 index 0000000..a53020f --- /dev/null +++ b/src/fftw3/rdft/rindirect.c @@ -0,0 +1,242 @@ +/* + * 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 + * + */ + +/* $Id: rindirect.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + + +/* solvers/plans for vectors of small RDFT's that cannot be done + in-place directly. Use a rank-0 plan to rearrange the data + before or after the transform. Can also change an out-of-place + plan into a copy + in-place (where the in-place transform + is e.g. unit stride). */ + +/* FIXME: merge with rank-geq2.c(?), since this is just a special case + of a rank split where the first/second transform has rank 0. */ + +#include "rdft.h" + +typedef problem *(*mkcld_t) (const problem_rdft *p); + +typedef struct { + rdftapply apply; + problem *(*mkcld)(const problem_rdft *p); + const char *nam; +} ndrct_adt; + +typedef struct { + solver super; + const ndrct_adt *adt; +} S; + +typedef struct { + plan_rdft super; + plan *cldcpy, *cld; + const S *slv; +} P; + +/*-----------------------------------------------------------------------*/ +/* first rearrange, then transform */ +static void apply_before(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + + { + plan_rdft *cldcpy = (plan_rdft *) ego->cldcpy; + cldcpy->apply(ego->cldcpy, I, O); + } + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply(ego->cld, O, O); + } +} + +static problem *mkcld_before(const problem_rdft *p) +{ + return X(mkproblem_rdft_d)(X(tensor_copy_inplace)(p->sz, INPLACE_OS), + X(tensor_copy_inplace)(p->vecsz, INPLACE_OS), + p->O, p->O, p->kind); +} + +static const ndrct_adt adt_before = +{ + apply_before, mkcld_before, "rdft-indirect-before" +}; + +/*-----------------------------------------------------------------------*/ +/* first transform, then rearrange */ + +static void apply_after(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply(ego->cld, I, I); + } + { + plan_rdft *cldcpy = (plan_rdft *) ego->cldcpy; + cldcpy->apply(ego->cldcpy, I, O); + } +} + +static problem *mkcld_after(const problem_rdft *p) +{ + return X(mkproblem_rdft_d)(X(tensor_copy_inplace)(p->sz, INPLACE_IS), + X(tensor_copy_inplace)(p->vecsz, INPLACE_IS), + p->I, p->I, p->kind); +} + +static const ndrct_adt adt_after = +{ + apply_after, mkcld_after, "rdft-indirect-after" +}; + +/*-----------------------------------------------------------------------*/ +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + X(plan_destroy_internal)(ego->cld); + X(plan_destroy_internal)(ego->cldcpy); +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + AWAKE(ego->cldcpy, flg); + AWAKE(ego->cld, flg); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + const S *s = ego->slv; + p->print(p, "(%s%(%p%)%(%p%))", s->adt->nam, ego->cld, ego->cldcpy); +} + +static int applicable0(const solver *ego_, const problem *p_, + const planner *plnr) +{ + if (RDFTP(p_)) { + const S *ego = (const S *) ego_; + const problem_rdft *p = (const problem_rdft *) p_; + return (1 + && FINITE_RNK(p->vecsz->rnk) + + /* problem must be a nontrivial transform, not just a copy */ + && p->sz->rnk > 0 + + && (0 + + /* problem must be in-place & require some + rearrangement of the data */ + || (p->I == p->O + && !(X(tensor_inplace_strides2)(p->sz, p->vecsz))) + + /* or problem must be out of place, transforming + from stride 1/2 to bigger stride, for apply_after */ + || (p->I != p->O && ego->adt->apply == apply_after + && DESTROY_INPUTP(plnr) + && X(tensor_min_istride)(p->sz) <= 2 + && X(tensor_min_ostride)(p->sz) > 2) + + /* or problem must be out of place, transforming + to stride 1/2 from bigger stride, for apply_before */ + || (p->I != p->O && ego->adt->apply == apply_before + && X(tensor_min_ostride)(p->sz) <= 2 + && X(tensor_min_istride)(p->sz) > 2) + + ) + ); + } + + return 0; +} + +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr) +{ + if (!applicable0(ego_, p_, plnr)) return 0; + + if (NO_INDIRECT_OP_P(plnr)) { + const problem_rdft *p = (const problem_rdft *)p_; + if (p->I != p->O) return 0; + } + + return 1; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const problem_rdft *p = (const problem_rdft *) p_; + const S *ego = (const S *) ego_; + P *pln; + plan *cld = 0, *cldcpy = 0; + + static const plan_adt padt = { + X(rdft_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr)) + return (plan *) 0; + + plnr->planner_flags |= NO_BUFFERING; + + cldcpy = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)( + X(mktensor_0d)(), + X(tensor_append)(p->vecsz, p->sz), + p->I, p->O, (rdft_kind *) 0)); + if (!cldcpy) goto nada; + + cld = X(mkplan_d)(plnr, ego->adt->mkcld(p)); + if (!cld) goto nada; + + pln = MKPLAN_RDFT(P, &padt, ego->adt->apply); + pln->cld = cld; + pln->cldcpy = cldcpy; + pln->slv = ego; + X(ops_add)(&cld->ops, &cldcpy->ops, &pln->super.super.ops); + + return &(pln->super.super); + + nada: + X(plan_destroy_internal)(cld); + X(plan_destroy_internal)(cldcpy); + return (plan *)0; +} + +static solver *mksolver(const ndrct_adt *adt) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->adt = adt; + return &(slv->super); +} + +void X(rdft_indirect_register)(planner *p) +{ + unsigned i; + static const ndrct_adt *const adts[] = { + &adt_before, &adt_after + }; + + for (i = 0; i < sizeof(adts) / sizeof(adts[0]); ++i) + REGISTER_SOLVER(p, mksolver(adts[i])); +} diff --git a/src/fftw3/rdft/rnop.c b/src/fftw3/rdft/rnop.c new file mode 100644 index 0000000..e784a5a --- /dev/null +++ b/src/fftw3/rdft/rnop.c @@ -0,0 +1,86 @@ +/* + * 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 + * + */ + +/* $Id: rnop.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* plans for vrank -infty RDFTs (nothing to do) */ + +#include "rdft.h" + +static void apply(const plan *ego_, R *I, R *O) +{ + UNUSED(ego_); + UNUSED(I); + UNUSED(O); +} + +static int applicable(const solver *ego_, const problem *p_) +{ + UNUSED(ego_); + if (RDFTP(p_)) { + const problem_rdft *p = (const problem_rdft *) p_; + return 0 + /* case 1 : -infty vector rank */ + || (p->vecsz->rnk == RNK_MINFTY) + + /* case 2 : rank-0 in-place rdft */ + || (1 + && p->sz->rnk == 0 + && FINITE_RNK(p->vecsz->rnk) + && p->O == p->I + && X(tensor_inplace_strides)(p->vecsz) + ); + } + return 0; +} + +static void print(const plan *ego, printer *p) +{ + UNUSED(ego); + p->print(p, "(rdft-nop)"); +} + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const plan_adt padt = { + X(rdft_solve), X(null_awake), print, X(plan_null_destroy) + }; + plan_rdft *pln; + + UNUSED(plnr); + + if (!applicable(ego, p)) + return (plan *) 0; + pln = MKPLAN_RDFT(plan_rdft, &padt, apply); + X(ops_zero)(&pln->super.ops); + + return &(pln->super); +} + +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + return MKSOLVER(solver, &sadt); +} + +void X(rdft_nop_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/rdft/rplan.c b/src/fftw3/rdft/rplan.c new file mode 100644 index 0000000..066e925 --- /dev/null +++ b/src/fftw3/rdft/rplan.c @@ -0,0 +1,33 @@ +/* + * 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 + * + */ + +/* $Id: rplan.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +plan *X(mkplan_rdft)(size_t size, const plan_adt *adt, rdftapply apply) +{ + plan_rdft *ego; + + ego = (plan_rdft *) X(mkplan)(size, adt); + ego->apply = apply; + + return &(ego->super); +} diff --git a/src/fftw3/rdft/rproblem.c b/src/fftw3/rdft/rproblem.c new file mode 100644 index 0000000..0e3441c --- /dev/null +++ b/src/fftw3/rdft/rproblem.c @@ -0,0 +1,235 @@ +/* + * 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 + * + */ + +/* $Id: rproblem.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" +#include <stddef.h> + +static void destroy(problem *ego_) +{ + problem_rdft *ego = (problem_rdft *) ego_; +#if !defined(STRUCT_HACK_C99) && !defined(STRUCT_HACK_KR) + X(ifree0)(ego->kind); +#endif + X(tensor_destroy2)(ego->vecsz, ego->sz); + X(ifree)(ego_); +} + +static void kind_hash(md5 *m, const rdft_kind *kind, int rnk) +{ + int i; + for (i = 0; i < rnk; ++i) + X(md5int)(m, kind[i]); +} + +static void hash(const problem *p_, md5 *m) +{ + const problem_rdft *p = (const problem_rdft *) p_; + X(md5puts)(m, "rdft"); + X(md5int)(m, p->I == p->O); + kind_hash(m, p->kind, p->sz->rnk); + X(md5int)(m, X(alignment_of)(p->I)); + X(md5int)(m, X(alignment_of)(p->O)); + X(tensor_md5)(m, p->sz); + X(tensor_md5)(m, p->vecsz); +} + +static void recur(const iodim *dims, int rnk, R *I) +{ + if (rnk == RNK_MINFTY) + return; + else if (rnk == 0) + I[0] = K(0.0); + else if (rnk > 0) { + int i, n = dims[0].n; + int is = dims[0].is; + + if (rnk == 1) { + /* this case is redundant but faster */ + for (i = 0; i < n; ++i) + I[i * is] = K(0.0); + } else { + for (i = 0; i < n; ++i) + recur(dims + 1, rnk - 1, I + i * is); + } + } +} + +void X(rdft_zerotens)(tensor *sz, R *I) +{ + recur(sz->dims, sz->rnk, I); +} + +#define KSTR_LEN 8 + +const char *X(rdft_kind_str)(rdft_kind kind) +{ + static const char kstr[][KSTR_LEN] = { + "r2hc", "r2hc01", "r2hc10", "r2hc11", + "hc2r", "hc2r01", "hc2r10", "hc2r11", + "dht", + "redft00", "redft01", "redft10", "redft11", + "rodft00", "rodft01", "rodft10", "rodft11" + }; + A(kind >= 0 && kind < sizeof(kstr) / KSTR_LEN); + return kstr[kind]; +} + +static void print(problem *ego_, printer *p) +{ + const problem_rdft *ego = (const problem_rdft *) ego_; + int i; + p->print(p, "(rdft %d %td %T %T", + X(alignment_of)(ego->I), + ego->O - ego->I, + ego->sz, + ego->vecsz); + for (i = 0; i < ego->sz->rnk; ++i) + p->print(p, " %d", (int)ego->kind[i]); + p->print(p, ")"); +} + +static void zero(const problem *ego_) +{ + const problem_rdft *ego = (const problem_rdft *) ego_; + tensor *sz = X(tensor_append)(ego->vecsz, ego->sz); + X(rdft_zerotens)(sz, UNTAINT(ego->I)); + X(tensor_destroy)(sz); +} + +static const problem_adt padt = +{ + hash, + zero, + print, + destroy +}; + +int X(problem_rdft_p)(const problem *p) +{ + return (p->adt == &padt); +} + +/* Dimensions of size 1 that are not REDFT/RODFT are no-ops and can be + eliminated. REDFT/RODFT unit dimensions often have factors of 2.0 + and suchlike from normalization and phases, although in principle + these constant factors from different dimensions could be combined. */ +static int nontrivial(const iodim *d, rdft_kind kind) +{ + return (d->n > 1 || kind == R2HC11 || kind == HC2R11 + || (REODFT_KINDP(kind) && kind != REDFT01 && kind != RODFT01)); +} + +problem *X(mkproblem_rdft)(const tensor *sz, const tensor *vecsz, + R *I, R *O, const rdft_kind *kind) +{ + problem_rdft *ego; + int rnk = sz->rnk; + int i; + + A(X(tensor_kosherp)(sz)); + A(X(tensor_kosherp)(vecsz)); + A(FINITE_RNK(sz->rnk)); + + if (UNTAINT(I) == UNTAINT(O)) + I = O = JOIN_TAINT(I, O); + + for (i = rnk = 0; i < sz->rnk; ++i) { + A(sz->dims[i].n > 0); + if (nontrivial(sz->dims + i, kind[i])) + ++rnk; + } + +#if defined(STRUCT_HACK_KR) + ego = (problem_rdft *) X(mkproblem)(sizeof(problem_rdft) + + sizeof(rdft_kind) + * (rnk > 0 ? rnk - 1 : 0), &padt); +#elif defined(STRUCT_HACK_C99) + ego = (problem_rdft *) X(mkproblem)(sizeof(problem_rdft) + + sizeof(rdft_kind) * rnk, &padt); +#else + ego = (problem_rdft *) X(mkproblem)(sizeof(problem_rdft), &padt); + ego->kind = (rdft_kind *) MALLOC(sizeof(rdft_kind) * rnk, PROBLEMS); +#endif + + /* do compression and sorting as in X(tensor_compress), but take + transform kind into account (sigh) */ + ego->sz = X(mktensor)(rnk); + for (i = rnk = 0; i < sz->rnk; ++i) { + if (nontrivial(sz->dims + i, kind[i])) { + ego->kind[rnk] = kind[i]; + ego->sz->dims[rnk++] = sz->dims[i]; + } + } + for (i = 0; i + 1 < rnk; ++i) { + int j; + for (j = i + 1; j < rnk; ++j) + if (X(dimcmp)(ego->sz->dims + i, ego->sz->dims + j) > 0) { + iodim dswap; + rdft_kind kswap; + dswap = ego->sz->dims[i]; + ego->sz->dims[i] = ego->sz->dims[j]; + ego->sz->dims[j] = dswap; + kswap = ego->kind[i]; + ego->kind[i] = ego->kind[j]; + ego->kind[j] = kswap; + } + } + + for (i = 0; i < rnk; ++i) + if (ego->sz->dims[i].n == 2 && (ego->kind[i] == REDFT00 + || ego->kind[i] == DHT + || ego->kind[i] == HC2R)) + ego->kind[i] = R2HC; /* size-2 transforms are equivalent */ + + ego->vecsz = X(tensor_compress_contiguous)(vecsz); + ego->I = I; + ego->O = O; + + A(FINITE_RNK(ego->sz->rnk)); + + return &(ego->super); +} + +/* Same as X(mkproblem_rdft), but also destroy input tensors. */ +problem *X(mkproblem_rdft_d)(tensor *sz, tensor *vecsz, + R *I, R *O, const rdft_kind *kind) +{ + problem *p; + p = X(mkproblem_rdft)(sz, vecsz, I, O, kind); + X(tensor_destroy2)(vecsz, sz); + return p; +} + +/* As above, but for rnk <= 1 only and takes a scalar kind parameter */ +problem *X(mkproblem_rdft_1)(const tensor *sz, const tensor *vecsz, + R *I, R *O, rdft_kind kind) +{ + A(sz->rnk <= 1); + return X(mkproblem_rdft)(sz, vecsz, I, O, &kind); +} + +problem *X(mkproblem_rdft_1_d)(tensor *sz, tensor *vecsz, + R *I, R *O, rdft_kind kind) +{ + A(sz->rnk <= 1); + return X(mkproblem_rdft_d)(sz, vecsz, I, O, &kind); +} diff --git a/src/fftw3/rdft/rrank-geq2.c b/src/fftw3/rdft/rrank-geq2.c new file mode 100644 index 0000000..78f359f --- /dev/null +++ b/src/fftw3/rdft/rrank-geq2.c @@ -0,0 +1,216 @@ +/* + * 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 + * + */ + +/* $Id: rrank-geq2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* plans for RDFT of rank >= 2 (multidimensional) */ + +/* FIXME: this solver cannot strictly be applied to multidimensional + DHTs, since the latter are not separable...up to rnk-1 additional + post-processing passes may be required. See also: + + R. N. Bracewell, O. Buneman, H. Hao, and J. Villasenor, "Fast + two-dimensional Hartley transform," Proc. IEEE 74, 1282-1283 (1986). + + H. Hao and R. N. Bracewell, "A three-dimensional DFT algorithm + using the fast Hartley transform," Proc. IEEE 75(2), 264-266 (1987). +*/ + +#include "rdft.h" + +typedef struct { + solver super; + int spltrnk; + const int *buddies; + int nbuddies; +} S; + +typedef struct { + plan_rdft super; + + plan *cld1, *cld2; + const S *solver; +} P; + +/* Compute multi-dimensional RDFT by applying the two cld plans + (lower-rnk RDFTs). */ +static void apply(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + plan_rdft *cld1, *cld2; + + cld1 = (plan_rdft *) ego->cld1; + cld1->apply(ego->cld1, I, O); + + cld2 = (plan_rdft *) ego->cld2; + cld2->apply(ego->cld2, O, O); +} + + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + AWAKE(ego->cld1, flg); + AWAKE(ego->cld2, flg); +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + 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_; + const S *s = ego->solver; + p->print(p, "(rdft-rank>=2/%d%(%p%)%(%p%))", + s->spltrnk, ego->cld1, ego->cld2); +} + +static int picksplit(const S *ego, const tensor *sz, int *rp) +{ + A(sz->rnk > 1); /* cannot split rnk <= 1 */ + if (!X(pickdim)(ego->spltrnk, ego->buddies, ego->nbuddies, sz, 1, rp)) + return 0; + *rp += 1; /* convert from dim. index to rank */ + if (*rp >= sz->rnk) /* split must reduce rank */ + return 0; + return 1; +} + +static int applicable0(const solver *ego_, const problem *p_, int *rp) +{ + if (RDFTP(p_)) { + const problem_rdft *p = (const problem_rdft *) p_; + const S *ego = (const S *)ego_; + return (1 + && p->sz->rnk >= 2 + && picksplit(ego, p->sz, rp) + ); + } + + return 0; +} + +/* TODO: revise this. */ +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr, int *rp) +{ + const S *ego = (const S *)ego_; + + if (!applicable0(ego_, p_, rp)) return 0; + + /* fixed spltrnk (unlike fftw2's spltrnk=1, default buddies[0] is + spltrnk=0, which is an asymptotic "theoretical optimum" for + an ideal cache; it's equivalent to spltrnk=1 for rnk < 4). */ + if (NO_RANK_SPLITSP(plnr) && (ego->spltrnk != ego->buddies[0])) + return 0; + + if (NO_UGLYP(plnr)) { + /* Heuristic: if the vector stride is greater than the transform + sz, don't use (prefer to do the vector loop first with a + vrank-geq1 plan). */ + const problem_rdft *p = (const problem_rdft *) p_; + + if (p->vecsz->rnk > 0 && + X(tensor_min_stride)(p->vecsz) > X(tensor_max_index)(p->sz)) + return 0; + } + + return 1; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + const problem_rdft *p; + P *pln; + plan *cld1 = 0, *cld2 = 0; + tensor *sz1, *sz2, *vecszi, *sz2i; + int spltrnk; + + static const plan_adt padt = { + X(rdft_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr, &spltrnk)) + return (plan *) 0; + + p = (const problem_rdft *) p_; + X(tensor_split)(p->sz, &sz1, spltrnk, &sz2); + vecszi = X(tensor_copy_inplace)(p->vecsz, INPLACE_OS); + sz2i = X(tensor_copy_inplace)(sz2, INPLACE_OS); + + cld1 = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)(X(tensor_copy)(sz2), + X(tensor_append)(p->vecsz, sz1), + p->I, p->O, p->kind + spltrnk)); + if (!cld1) goto nada; + + cld2 = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)( + X(tensor_copy_inplace)(sz1, INPLACE_OS), + X(tensor_append)(vecszi, sz2i), + p->O, p->O, p->kind)); + if (!cld2) goto nada; + + pln = MKPLAN_RDFT(P, &padt, apply); + + pln->cld1 = cld1; + pln->cld2 = cld2; + + pln->solver = ego; + X(ops_add)(&cld1->ops, &cld2->ops, &pln->super.super.ops); + + X(tensor_destroy4)(sz2, sz1, vecszi, sz2i); + + return &(pln->super.super); + + nada: + X(plan_destroy_internal)(cld2); + X(plan_destroy_internal)(cld1); + X(tensor_destroy4)(sz2, sz1, vecszi, sz2i); + return (plan *) 0; +} + +static solver *mksolver(int spltrnk, const int *buddies, int nbuddies) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->spltrnk = spltrnk; + slv->buddies = buddies; + slv->nbuddies = nbuddies; + return &(slv->super); +} + +void X(rdft_rank_geq2_register)(planner *p) +{ + int i; + static const int buddies[] = { 0, 1, -2 }; + + const int nbuddies = sizeof(buddies) / sizeof(buddies[0]); + + for (i = 0; i < nbuddies; ++i) + REGISTER_SOLVER(p, mksolver(buddies[i], buddies, nbuddies)); + + /* FIXME: Should we try more buddies? See also dft/rank-geq2. */ +} diff --git a/src/fftw3/rdft/rrank0.c b/src/fftw3/rdft/rrank0.c new file mode 100644 index 0000000..4e212ab --- /dev/null +++ b/src/fftw3/rdft/rrank0.c @@ -0,0 +1,194 @@ +/* + * 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 + * + */ + +/* $Id: rrank0.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +/* plans for rank-0 RDFTs (copy operations) */ + +#include "rdft.h" + +#ifdef HAVE_STRING_H +#include <string.h> /* for memcpy() */ +#endif + + +typedef struct { + rdftapply apply; + int (*applicable)(const problem_rdft *p); + const char *nam; +} rnk0adt; + +typedef struct { + solver super; + const rnk0adt *adt; +} S; + +typedef struct { + plan_rdft super; + int vl; + int ivs, ovs; + const S *slv; +} P; + +/* generic applicability function */ +static int applicable(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->I != p->O + && p->sz->rnk == 0 + && ego->adt->applicable(p) + ); + } + return 0; +} + +/*-----------------------------------------------------------------------*/ +/* rank-0 rdft, vl == 1: just a copy */ +static void apply_1(const plan *ego_, R *I, R *O) +{ + UNUSED(ego_); + *O = *I; +} + +static int applicable_1(const problem_rdft *p) +{ + return (p->vecsz->rnk == 0); +} + +static const rnk0adt adt_cpy1 = +{ + apply_1, applicable_1, "rdft-rank0-cpy1" +}; + +/*-----------------------------------------------------------------------*/ +/* rank-0 rdft, vl > 1: just a copy loop (unroll 4) */ +static void apply_vec(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int i, vl = ego->vl; + int ivs = ego->ivs, ovs = ego->ovs; + + for (i = 4; i <= vl; i += 4) { + R r0, r1, r2, r3; + r0 = *I; I += ivs; + r1 = *I; I += ivs; + r2 = *I; I += ivs; + r3 = *I; I += ivs; + *O = r0; O += ovs; + *O = r1; O += ovs; + *O = r2; O += ovs; + *O = r3; O += ovs; + } + for (; i < vl + 4; ++i) { + R r0; + r0 = *I; I += ivs; + *O = r0; O += ovs; + } +} + +static int applicable_vec(const problem_rdft *p) +{ + return (p->vecsz->rnk == 1 && p->O != p->I); +} + +static const rnk0adt adt_vec = +{ + apply_vec, applicable_vec, "rdft-rank0-vec" +}; + +/*-----------------------------------------------------------------------*/ +/* rank-0 rdft, vl > 1, [io]vs == 1, using memcpy */ +static void apply_io1(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int vl = ego->vl; + memcpy(O, I, vl * sizeof(R)); +} + +static int applicable_io1(const problem_rdft *p) +{ + return (1 + && applicable_vec(p) + && p->vecsz->dims[0].is == 1 + && p->vecsz->dims[0].os == 1 + ); +} + +static const rnk0adt adt_io1 = +{ + apply_io1, applicable_io1, "rdft-rank0-io1-memcpy" +}; + +/*-----------------------------------------------------------------------*/ +/* generic stuff: */ + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + p->print(p, "(%s%v)", ego->slv->adt->nam, ego->vl); +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + const problem_rdft *p; + P *pln; + + static const plan_adt padt = { + X(rdft_solve), X(null_awake), print, X(plan_null_destroy) + }; + + UNUSED(plnr); + + if (!applicable(ego_, p_)) + return (plan *) 0; + + p = (const problem_rdft *) p_; + pln = MKPLAN_RDFT(P, &padt, ego->adt->apply); + + X(tensor_tornk1)(p->vecsz, &pln->vl, &pln->ivs, &pln->ovs); + pln->slv = ego; + + /* vl loads, vl stores */ + X(ops_other)(2 * pln->vl, &pln->super.super.ops); + return &(pln->super.super); +} + +static solver *mksolver(const rnk0adt *adt) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->adt = adt; + return &(slv->super); +} + +void X(rdft_rank0_register)(planner *p) +{ + unsigned i; + static const rnk0adt *const adts[] = { + &adt_cpy1, &adt_vec, &adt_io1 + }; + + for (i = 0; i < sizeof(adts) / sizeof(adts[0]); ++i) + REGISTER_SOLVER(p, mksolver(adts[i])); +} diff --git a/src/fftw3/rdft/rsolve.c b/src/fftw3/rdft/rsolve.c new file mode 100644 index 0000000..a000a56 --- /dev/null +++ b/src/fftw3/rdft/rsolve.c @@ -0,0 +1,31 @@ +/* + * 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 + * + */ + +/* $Id: rsolve.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +/* use the apply() operation for RDFT problems */ +void X(rdft_solve)(const plan *ego_, const problem *p_) +{ + const plan_rdft *ego = (const plan_rdft *) ego_; + const problem_rdft *p = (const problem_rdft *) p_; + ego->apply(ego_, UNTAINT(p->I), UNTAINT(p->O)); +} diff --git a/src/fftw3/rdft/rvrank-geq1.c b/src/fftw3/rdft/rvrank-geq1.c new file mode 100644 index 0000000..2bac2d5 --- /dev/null +++ b/src/fftw3/rdft/rvrank-geq1.c @@ -0,0 +1,221 @@ +/* + * 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 + * + */ + +/* $Id: rvrank-geq1.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + + +/* Plans for handling vector transform loops. These are *just* the + loops, and rely on child plans for the actual RDFTs. + + They form a wrapper around solvers that don't have apply functions + for non-null vectors. + + vrank-geq1 plans also recursively handle the case of multi-dimensional + vectors, obviating the need for most solvers to deal with this. We + can also play games here, such as reordering the vector loops. + + Each vrank-geq1 plan reduces the vector rank by 1, picking out a + dimension determined by the vecloop_dim field of the solver. */ + +#include "rdft.h" + +typedef struct { + solver super; + int vecloop_dim; + const int *buddies; + int nbuddies; +} S; + +typedef struct { + plan_rdft super; + + plan *cld; + int vl; + int ivs, ovs; + const S *solver; +} P; + +static void apply(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int i, vl = ego->vl; + int ivs = ego->ivs, ovs = ego->ovs; + rdftapply cldapply = ((plan_rdft *) ego->cld)->apply; + + for (i = 0; i < vl; ++i) { + cldapply(ego->cld, I + i * ivs, O + i * ovs); + } +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + AWAKE(ego->cld, flg); +} + +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_; + const S *s = ego->solver; + p->print(p, "(rdft-vrank>=1-x%d/%d%(%p%))", + ego->vl, s->vecloop_dim, ego->cld); +} + +static int pickdim(const S *ego, const tensor *vecsz, int oop, int *dp) +{ + return X(pickdim)(ego->vecloop_dim, ego->buddies, ego->nbuddies, + vecsz, oop, dp); +} + +static int applicable0(const solver *ego_, const problem *p_, int *dp) +{ + if (RDFTP(p_)) { + const S *ego = (const S *) ego_; + const problem_rdft *p = (const problem_rdft *) p_; + + return (1 + && FINITE_RNK(p->vecsz->rnk) + && p->vecsz->rnk > 0 + && pickdim(ego, p->vecsz, p->I != p->O, dp) + ); + } + + return 0; +} + +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr, int *dp) +{ + const S *ego = (const S *)ego_; + const problem_rdft *p; + + if (!applicable0(ego_, p_, dp)) return 0; + + /* fftw2 behavior */ + if (NO_VRANK_SPLITSP(plnr) && (ego->vecloop_dim != ego->buddies[0])) + return 0; + + if (NO_UGLYP(plnr)) { + p = (const problem_rdft *) p_; + + /* Heuristic: if the transform is multi-dimensional, and the + vector stride is less than the transform size, then we + probably want to use a rank>=2 plan first in order to combine + this vector with the transform-dimension vectors. */ + { + iodim *d = p->vecsz->dims + *dp; + if (1 + && p->sz->rnk > 1 + && X(imin)(X(iabs)(d->is), X(iabs)(d->os)) + < X(tensor_max_index)(p->sz) + ) + return 0; + } + + /* Heuristic: don't use a vrank-geq1 for rank-0 vrank-1 + transforms, since this case is better handled by rank-0 + solvers. */ + if (p->sz->rnk == 0 && p->vecsz->rnk == 1) return 0; + + /* prefer threaded version */ + if (NONTHREADED_ICKYP(plnr)) return 0; + + /* exploit built-in vecloops of (ugly) r{e,o}dft solvers */ + if (p->vecsz->rnk == 1 && p->sz->rnk == 1 + && REODFT_KINDP(p->kind[0])) + return 0; + } + + return 1; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + const problem_rdft *p; + P *pln; + plan *cld; + int vdim; + iodim *d; + + static const plan_adt padt = { + X(rdft_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr, &vdim)) + return (plan *) 0; + p = (const problem_rdft *) p_; + + d = p->vecsz->dims + vdim; + + A(d->n > 1); + + cld = X(mkplan_d)(plnr, + X(mkproblem_rdft_d)( + X(tensor_copy)(p->sz), + X(tensor_copy_except)(p->vecsz, vdim), + TAINT(p->I, d->is), TAINT(p->O, d->os), + p->kind)); + if (!cld) return (plan *) 0; + + pln = MKPLAN_RDFT(P, &padt, apply); + + pln->cld = cld; + pln->vl = d->n; + pln->ivs = d->is; + pln->ovs = d->os; + + pln->solver = ego; + X(ops_zero)(&pln->super.super.ops); + pln->super.super.ops.other = 3.14159; /* magic to prefer codelet loops */ + X(ops_madd2)(pln->vl, &cld->ops, &pln->super.super.ops); + pln->super.super.pcost = pln->vl * cld->pcost; + + return &(pln->super.super); +} + +static solver *mksolver(int vecloop_dim, const int *buddies, int nbuddies) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->vecloop_dim = vecloop_dim; + slv->buddies = buddies; + slv->nbuddies = nbuddies; + return &(slv->super); +} + +void X(rdft_vrank_geq1_register)(planner *p) +{ + int i; + + /* FIXME: Should we try other vecloop_dim values? */ + static const int buddies[] = { 1, -1 }; + + const int nbuddies = sizeof(buddies) / sizeof(buddies[0]); + + for (i = 0; i < nbuddies; ++i) + REGISTER_SOLVER(p, mksolver(buddies[i], buddies, nbuddies)); +} diff --git a/src/fftw3/rdft/solve2.c b/src/fftw3/rdft/solve2.c new file mode 100644 index 0000000..adaee27 --- /dev/null +++ b/src/fftw3/rdft/solve2.c @@ -0,0 +1,31 @@ +/* + * 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 + * + */ + +/* $Id: solve2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + +#include "rdft.h" + +/* use the apply() operation for RDFT2 problems */ +void X(rdft2_solve)(const plan *ego_, const problem *p_) +{ + const plan_rdft2 *ego = (const plan_rdft2 *) ego_; + const problem_rdft2 *p = (const problem_rdft2 *) p_; + ego->apply(ego_, UNTAINT(p->r), UNTAINT(p->rio), UNTAINT(p->iio)); +} diff --git a/src/fftw3/rdft/vrank-geq1-rdft2.c b/src/fftw3/rdft/vrank-geq1-rdft2.c new file mode 100644 index 0000000..0557c13 --- /dev/null +++ b/src/fftw3/rdft/vrank-geq1-rdft2.c @@ -0,0 +1,220 @@ +/* + * 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 + * + */ + +/* $Id: vrank-geq1-rdft2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */ + + +/* Plans for handling vector transform loops. These are *just* the + loops, and rely on child plans for the actual RDFT2s. + + They form a wrapper around solvers that don't have apply functions + for non-null vectors. + + vrank-geq1-rdft2 plans also recursively handle the case of + multi-dimensional vectors, obviating the need for most solvers to + deal with this. We can also play games here, such as reordering + the vector loops. + + Each vrank-geq1-rdft2 plan reduces the vector rank by 1, picking out a + dimension determined by the vecloop_dim field of the solver. */ + +#include "rdft.h" + +typedef struct { + solver super; + int vecloop_dim; + const int *buddies; + int nbuddies; +} S; + +typedef struct { + plan_rdft2 super; + + plan *cld; + int vl; + int ivs, ovs; + const S *solver; +} P; + +static void apply(const plan *ego_, R *r, R *rio, R *iio) +{ + const P *ego = (const P *) ego_; + int i, vl = ego->vl; + int ivs = ego->ivs, ovs = ego->ovs; + rdft2apply cldapply = ((plan_rdft2 *) ego->cld)->apply; + + for (i = 0; i < vl; ++i) { + cldapply(ego->cld, r + i * ivs, rio + i * ovs, iio + i * ovs); + } +} + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + AWAKE(ego->cld, flg); +} + +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_; + const S *s = ego->solver; + p->print(p, "(rdft2-vrank>=1-x%d/%d%(%p%))", + ego->vl, s->vecloop_dim, ego->cld); +} + +static int pickdim(const S *ego, const tensor *vecsz, int oop, int *dp) +{ + return X(pickdim)(ego->vecloop_dim, ego->buddies, ego->nbuddies, + vecsz, oop, dp); +} + +static int applicable0(const solver *ego_, const problem *p_, int *dp) +{ + if (RDFT2P(p_)) { + const S *ego = (const S *) ego_; + const problem_rdft2 *p = (const problem_rdft2 *) p_; + if (FINITE_RNK(p->vecsz->rnk) + && p->vecsz->rnk > 0 + && pickdim(ego, p->vecsz, + p->r != p->rio && p->r != p->iio, dp)) { + if (p->r != p->rio && p->r != p->iio) + return 1; /* can always operate out-of-place */ + + return(X(rdft2_inplace_strides)(p, *dp)); + } + } + + return 0; +} + +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr, int *dp) +{ + const S *ego = (const S *)ego_; + + if (!applicable0(ego_, p_, dp)) return 0; + + /* fftw2 behavior */ + if (NO_VRANK_SPLITSP(plnr) && (ego->vecloop_dim != ego->buddies[0])) + return 0; + + if (NO_UGLYP(plnr)) { + const problem_rdft2 *p = (const problem_rdft2 *) p_; + iodim *d = p->vecsz->dims + *dp; + + /* Heuristic: if the transform is multi-dimensional, and the + vector stride is less than the transform size, then we + probably want to use a rank>=2 plan first in order to combine + this vector with the transform-dimension vectors. */ + if (p->sz->rnk > 1 + && X(imin)(X(iabs)(d->is), X(iabs)(d->os)) + < X(rdft2_tensor_max_index)(p->sz, p->kind) + ) + return 0; + + /* Heuristic: don't use a vrank-geq1 for rank-0 vrank-1 + transforms, since this case is better handled by rank-0 + solvers. */ + if (p->sz->rnk == 0 && p->vecsz->rnk == 1) return 0; + + if (NONTHREADED_ICKYP(plnr)) + return 0; /* prefer threaded version */ + } + + return 1; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const S *ego = (const S *) ego_; + const problem_rdft2 *p; + P *pln; + plan *cld; + int vdim; + iodim *d; + int ivs, ovs; + + static const plan_adt padt = { + X(rdft2_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr, &vdim)) + return (plan *) 0; + p = (const problem_rdft2 *) p_; + + d = p->vecsz->dims + vdim; + + A(d->n > 1); /* or else, p->ri + d->is etc. are invalid */ + + X(rdft2_strides)(p->kind, d, &ivs, &ovs); + + cld = X(mkplan_d)(plnr, + X(mkproblem_rdft2_d)( + X(tensor_copy)(p->sz), + X(tensor_copy_except)(p->vecsz, vdim), + TAINT(p->r, ivs), + TAINT(p->rio, ovs), TAINT(p->iio, ovs), + p->kind)); + if (!cld) return (plan *) 0; + + pln = MKPLAN_RDFT2(P, &padt, apply); + + pln->cld = cld; + pln->vl = d->n; + pln->ivs = ivs; + pln->ovs = ovs; + + pln->solver = ego; + X(ops_zero)(&pln->super.super.ops); + pln->super.super.ops.other = 3.14159; /* magic to prefer codelet loops */ + X(ops_madd2)(pln->vl, &cld->ops, &pln->super.super.ops); + pln->super.super.pcost = pln->vl * cld->pcost; + + return &(pln->super.super); +} + +static solver *mksolver(int vecloop_dim, const int *buddies, int nbuddies) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->vecloop_dim = vecloop_dim; + slv->buddies = buddies; + slv->nbuddies = nbuddies; + return &(slv->super); +} + +void X(rdft2_vrank_geq1_register)(planner *p) +{ + int i; + + /* FIXME: Should we try other vecloop_dim values? */ + static const int buddies[] = { 1, -1 }; + + const int nbuddies = sizeof(buddies) / sizeof(buddies[0]); + + for (i = 0; i < nbuddies; ++i) + REGISTER_SOLVER(p, mksolver(buddies[i], buddies, nbuddies)); +} |