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/dft | |
First commit - moving from LuaForge to SourceForge
Diffstat (limited to 'src/fftw3/dft')
80 files changed, 21175 insertions, 0 deletions
diff --git a/src/fftw3/dft/buffered.c b/src/fftw3/dft/buffered.c new file mode 100644 index 0000000..763ebe3 --- /dev/null +++ b/src/fftw3/dft/buffered.c @@ -0,0 +1,323 @@ +/* + * 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: buffered.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.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_dft super; + + plan *cld, *cldcpy, *cldrest; + int n, vl, nbuf, bufdist; + int ivs, ovs; + int roffset, ioffset; + + const S *slv; +} P; + +/* transform a vector input with the help of bufs */ +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int nbuf = ego->nbuf; + R *bufs = (R *)MALLOC(sizeof(R) * nbuf * ego->bufdist * 2, BUFFERS); + + plan_dft *cld = (plan_dft *) ego->cld; + plan_dft *cldcpy = (plan_dft *) ego->cldcpy; + plan_dft *cldrest; + int i, vl = ego->vl; + int ivs = ego->ivs, ovs = ego->ovs; + int roffset = ego->roffset, ioffset = ego->ioffset; + + /* note unsigned i: the obvious statement + + for (i = 0; i <= vl - nbuf; i += nbuf) + + is wrong */ + for (i = nbuf; i <= vl; i += nbuf) { + /* transform to bufs: */ + cld->apply((plan *) cld, ri, ii, bufs + roffset, bufs + ioffset); + ri += ivs; ii += ivs; + + /* copy back */ + cldcpy->apply((plan *) cldcpy, bufs+roffset, bufs+ioffset, ro, io); + ro += ovs; io += ovs; + } + + /* Do the remaining transforms, if any: */ + cldrest = (plan_dft *) ego->cldrest; + cldrest->apply((plan *) cldrest, ri, ii, ro, io); + + 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 (DFTP(p_)) { + const problem_dft *p = (const problem_dft *) p_; + const 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 2. + */ + if (p->ri != p->ro) + return (d[0].os > 2); + + /* 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) +{ + if (NO_BUFFERINGP(plnr)) return 0; + if (!applicable0(p_, ego, plnr)) return 0; + + if (NO_UGLYP(plnr)) { + const problem_dft *p = (const problem_dft *) p_; + if (p->ri != p->ro) 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_dft *p = (const problem_dft *) p_; + R *bufs = (R *) 0; + int nbuf = 0, bufdist, n, vl; + int ivs, ovs, roffset, ioffset; + + static const plan_adt padt = { + X(dft_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); + } + + /* attempt to keep real and imaginary part in the same order, + so as to allow optimizations in the the copy plan */ + roffset = (p->ri - p->ii > 0) ? 1 : 0; + ioffset = 1 - roffset; + + /* initial allocation for the purpose of planning */ + bufs = (R *) MALLOC(sizeof(R) * nbuf * bufdist * 2, BUFFERS); + + cld = X(mkplan_d)(plnr, + X(mkproblem_dft_d)( + X(mktensor_1d)(n, p->sz->dims[0].is, 2), + X(mktensor_1d)(nbuf, ivs, bufdist * 2), + TAINT(p->ri, ivs * nbuf), + TAINT(p->ii, ivs * nbuf), + bufs + roffset, + bufs + ioffset)); + if (!cld) + goto nada; + + /* copying back from the buffer is a rank-0 transform: */ + cldcpy = X(mkplan_d)(plnr, + X(mkproblem_dft_d)( + X(mktensor_0d)(), + X(mktensor_2d)(nbuf, bufdist * 2, ovs, + n, 2, p->sz->dims[0].os), + bufs + roffset, + bufs + ioffset, + TAINT(p->ro, ovs * nbuf), + TAINT(p->io, ovs * nbuf))); + 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_dft_d)( + X(tensor_copy)(p->sz), + X(mktensor_1d)(vl % nbuf, ivs, ovs), + p->ri+id, p->ii+id, p->ro+od, p->io+od)); + } + if (!cldrest) + goto nada; + + pln = MKPLAN_DFT(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->roffset = roffset; + pln->ioffset = ioffset; + + 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(dft_buffered_register)(planner *p) +{ + /* FIXME: what are good defaults? */ + static const bufadt adt = { + /* nbuf */ 8, + /* maxbufsz */ (65536 / sizeof(R)), + /* skew_alignment */ 8, +#if HAVE_SIMD /* 5 is odd and screws up the alignment. */ + /* skew */ 6, +#else + /* skew */ 5, +#endif + /* nam */ "dft-buffered" + }; + + REGISTER_SOLVER(p, mksolver(&adt)); +} diff --git a/src/fftw3/dft/codelet-dft.h b/src/fftw3/dft/codelet-dft.h new file mode 100644 index 0000000..1a5d376 --- /dev/null +++ b/src/fftw3/dft/codelet-dft.h @@ -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 + * + */ + +/* $Id: codelet-dft.h,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* + * This header file must include every file or define every + * type or macro which is required to compile a codelet. + */ + +#ifndef __CODELET_H__ +#define __CODELET_H__ + +#include "ifftw.h" + +/************************************************************** + * types of codelets + **************************************************************/ + +/* DFT codelets */ +typedef struct kdft_desc_s kdft_desc; + +typedef struct { + int (*okp)( + const kdft_desc *desc, + const R *ri, const R *ii, const R *ro, const R *io, + int is, int os, int vl, int ivs, int ovs, + const planner *plnr); + int vl; +} kdft_genus; + +struct kdft_desc_s { + int sz; /* size of transform computed */ + const char *nam; + opcnt ops; + const kdft_genus *genus; + int is; + int os; + int ivs; + int ovs; +}; + +typedef void (*kdft) (const R *ri, const R *ii, R *ro, R *io, + stride is, stride os, int vl, int ivs, int ovs); +void X(kdft_register)(planner *p, kdft codelet, const kdft_desc *desc); + + +typedef struct ct_desc_s ct_desc; + +typedef struct { + int (*okp)( + const struct ct_desc_s *desc, + const R *rio, const R *iio, int ios, int vs, int m, int dist, + const planner *plnr); + int vl; +} ct_genus; + +struct ct_desc_s { + int radix; + const char *nam; + const tw_instr *tw; + opcnt ops; + const ct_genus *genus; + int s1; + int s2; + int dist; +}; + +typedef const R *(*kdft_dit) (R *rioarray, R *iioarray, const R *W, + stride ios, int m, int dist); +void X(kdft_dit_register)(planner *p, kdft_dit codelet, const ct_desc *desc); + + +typedef const R *(*kdft_difsq) (R *rioarray, R *iioarray, + const R *W, stride is, stride vs, + int m, int dist); +void X(kdft_difsq_register)(planner *p, kdft_difsq codelet, + const ct_desc *desc); + + +typedef const R *(*kdft_dif) (R *rioarray, R *iioarray, const R *W, + stride ios, int m, int dist); +void X(kdft_dif_register)(planner *p, kdft_dif codelet, const ct_desc *desc); + +extern const solvtab X(solvtab_dft_standard); +extern const solvtab X(solvtab_dft_inplace); + +#if HAVE_K7 +extern const solvtab X(solvtab_dft_k7); +#endif + +#if HAVE_SIMD +extern const solvtab X(solvtab_dft_simd); +#endif + +#endif /* __CODELET_H__ */ diff --git a/src/fftw3/dft/codelets/f.h b/src/fftw3/dft/codelets/f.h new file mode 100644 index 0000000..6a9dd0b --- /dev/null +++ b/src/fftw3/dft/codelets/f.h @@ -0,0 +1 @@ +#include "t.h" /* same stuff, no need to duplicate */ diff --git a/src/fftw3/dft/codelets/inplace/icodlist.c b/src/fftw3/dft/codelets/inplace/icodlist.c new file mode 100644 index 0000000..708755e --- /dev/null +++ b/src/fftw3/dft/codelets/inplace/icodlist.c @@ -0,0 +1,20 @@ +#include "ifftw.h" + +extern void X(codelet_q1_2)(planner *); +extern void X(codelet_q1_4)(planner *); +extern void X(codelet_q1_8)(planner *); +extern void X(codelet_q1_3)(planner *); +extern void X(codelet_q1_5)(planner *); +extern void X(codelet_q1_6)(planner *); + + +extern const solvtab X(solvtab_dft_inplace); +const solvtab X(solvtab_dft_inplace) = { + SOLVTAB(X(codelet_q1_2)), + SOLVTAB(X(codelet_q1_4)), + SOLVTAB(X(codelet_q1_8)), + SOLVTAB(X(codelet_q1_3)), + SOLVTAB(X(codelet_q1_5)), + SOLVTAB(X(codelet_q1_6)), + SOLVTAB_END +}; diff --git a/src/fftw3/dft/codelets/inplace/q1_2.c b/src/fftw3/dft/codelets/inplace/q1_2.c new file mode 100644 index 0000000..6057fe6 --- /dev/null +++ b/src/fftw3/dft/codelets/inplace/q1_2.c @@ -0,0 +1,87 @@ +/* + * 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 21:39:14 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twidsq -compact -variables 4 -reload-twiddle -dif -n 2 -name q1_2 -include q.h */ + +/* + * This function contains 12 FP additions, 8 FP multiplications, + * (or, 8 additions, 4 multiplications, 4 fused multiply/add), + * 17 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: q1_2.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_2.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_2.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + */ + +#include "q.h" + +static const R *q1_2(R *rio, R *iio, const R *W, stride is, stride vs, int m, int dist) +{ + int i; + for (i = m; i > 0; i = i - 1, rio = rio + dist, iio = iio + dist, W = W + 2) { + E T1, T2, T4, T6, T7, T8, T9, Ta, Tc, Te, Tf, Tg; + T1 = rio[0]; + T2 = rio[WS(is, 1)]; + T4 = T1 - T2; + T6 = iio[0]; + T7 = iio[WS(is, 1)]; + T8 = T6 - T7; + T9 = rio[WS(vs, 1)]; + Ta = rio[WS(vs, 1) + WS(is, 1)]; + Tc = T9 - Ta; + Te = iio[WS(vs, 1)]; + Tf = iio[WS(vs, 1) + WS(is, 1)]; + Tg = Te - Tf; + rio[0] = T1 + T2; + iio[0] = T6 + T7; + rio[WS(is, 1)] = T9 + Ta; + iio[WS(is, 1)] = Te + Tf; + { + E Tb, Td, T3, T5; + Tb = W[0]; + Td = W[1]; + rio[WS(vs, 1) + WS(is, 1)] = FMA(Tb, Tc, Td * Tg); + iio[WS(vs, 1) + WS(is, 1)] = FNMS(Td, Tc, Tb * Tg); + T3 = W[0]; + T5 = W[1]; + rio[WS(vs, 1)] = FMA(T3, T4, T5 * T8); + iio[WS(vs, 1)] = FNMS(T5, T4, T3 * T8); + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 2}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 2, "q1_2", twinstr, {8, 4, 4, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_q1_2) (planner *p) { + X(kdft_difsq_register) (p, q1_2, &desc); +} diff --git a/src/fftw3/dft/codelets/inplace/q1_3.c b/src/fftw3/dft/codelets/inplace/q1_3.c new file mode 100644 index 0000000..a05996f --- /dev/null +++ b/src/fftw3/dft/codelets/inplace/q1_3.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 21:39:14 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twidsq -compact -variables 4 -reload-twiddle -dif -n 3 -name q1_3 -include q.h */ + +/* + * This function contains 48 FP additions, 36 FP multiplications, + * (or, 30 additions, 18 multiplications, 18 fused multiply/add), + * 35 stack variables, and 36 memory accesses + */ +/* + * Generator Id's : + * $Id: q1_3.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_3.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_3.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + */ + +#include "q.h" + +static const R *q1_3(R *rio, R *iio, const R *W, stride is, stride vs, int m, int dist) +{ + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = m; i > 0; i = i - 1, rio = rio + dist, iio = iio + dist, W = W + 4) { + E T1, T4, T6, Tc, Td, Te, T9, Tf, Tl, To, Tq, Tw, Tx, Ty, Tt; + E Tz, TR, TS, TN, TT, TF, TI, TK, TQ; + { + E T2, T3, Tr, Ts; + T1 = rio[0]; + T2 = rio[WS(is, 1)]; + T3 = rio[WS(is, 2)]; + T4 = T2 + T3; + T6 = FNMS(KP500000000, T4, T1); + Tc = KP866025403 * (T3 - T2); + { + E T7, T8, Tm, Tn; + Td = iio[0]; + T7 = iio[WS(is, 1)]; + T8 = iio[WS(is, 2)]; + Te = T7 + T8; + T9 = KP866025403 * (T7 - T8); + Tf = FNMS(KP500000000, Te, Td); + Tl = rio[WS(vs, 1)]; + Tm = rio[WS(vs, 1) + WS(is, 1)]; + Tn = rio[WS(vs, 1) + WS(is, 2)]; + To = Tm + Tn; + Tq = FNMS(KP500000000, To, Tl); + Tw = KP866025403 * (Tn - Tm); + } + Tx = iio[WS(vs, 1)]; + Tr = iio[WS(vs, 1) + WS(is, 1)]; + Ts = iio[WS(vs, 1) + WS(is, 2)]; + Ty = Tr + Ts; + Tt = KP866025403 * (Tr - Ts); + Tz = FNMS(KP500000000, Ty, Tx); + { + E TL, TM, TG, TH; + TR = iio[WS(vs, 2)]; + TL = iio[WS(vs, 2) + WS(is, 1)]; + TM = iio[WS(vs, 2) + WS(is, 2)]; + TS = TL + TM; + TN = KP866025403 * (TL - TM); + TT = FNMS(KP500000000, TS, TR); + TF = rio[WS(vs, 2)]; + TG = rio[WS(vs, 2) + WS(is, 1)]; + TH = rio[WS(vs, 2) + WS(is, 2)]; + TI = TG + TH; + TK = FNMS(KP500000000, TI, TF); + TQ = KP866025403 * (TH - TG); + } + } + rio[0] = T1 + T4; + iio[0] = Td + Te; + rio[WS(is, 1)] = Tl + To; + iio[WS(is, 1)] = Tx + Ty; + iio[WS(is, 2)] = TR + TS; + rio[WS(is, 2)] = TF + TI; + { + E Ta, Tg, T5, Tb; + Ta = T6 + T9; + Tg = Tc + Tf; + T5 = W[0]; + Tb = W[1]; + rio[WS(vs, 1)] = FMA(T5, Ta, Tb * Tg); + iio[WS(vs, 1)] = FNMS(Tb, Ta, T5 * Tg); + } + { + E TW, TY, TV, TX; + TW = TK - TN; + TY = TT - TQ; + TV = W[2]; + TX = W[3]; + rio[WS(vs, 2) + WS(is, 2)] = FMA(TV, TW, TX * TY); + iio[WS(vs, 2) + WS(is, 2)] = FNMS(TX, TW, TV * TY); + } + { + E TC, TE, TB, TD; + TC = Tq - Tt; + TE = Tz - Tw; + TB = W[2]; + TD = W[3]; + rio[WS(vs, 2) + WS(is, 1)] = FMA(TB, TC, TD * TE); + iio[WS(vs, 2) + WS(is, 1)] = FNMS(TD, TC, TB * TE); + } + { + E Tu, TA, Tp, Tv; + Tu = Tq + Tt; + TA = Tw + Tz; + Tp = W[0]; + Tv = W[1]; + rio[WS(vs, 1) + WS(is, 1)] = FMA(Tp, Tu, Tv * TA); + iio[WS(vs, 1) + WS(is, 1)] = FNMS(Tv, Tu, Tp * TA); + } + { + E TO, TU, TJ, TP; + TO = TK + TN; + TU = TQ + TT; + TJ = W[0]; + TP = W[1]; + rio[WS(vs, 1) + WS(is, 2)] = FMA(TJ, TO, TP * TU); + iio[WS(vs, 1) + WS(is, 2)] = FNMS(TP, TO, TJ * TU); + } + { + E Ti, Tk, Th, Tj; + Ti = T6 - T9; + Tk = Tf - Tc; + Th = W[2]; + Tj = W[3]; + rio[WS(vs, 2)] = FMA(Th, Ti, Tj * Tk); + iio[WS(vs, 2)] = FNMS(Tj, Ti, Th * Tk); + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 3}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 3, "q1_3", twinstr, {30, 18, 18, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_q1_3) (planner *p) { + X(kdft_difsq_register) (p, q1_3, &desc); +} diff --git a/src/fftw3/dft/codelets/inplace/q1_4.c b/src/fftw3/dft/codelets/inplace/q1_4.c new file mode 100644 index 0000000..c4300f5 --- /dev/null +++ b/src/fftw3/dft/codelets/inplace/q1_4.c @@ -0,0 +1,266 @@ +/* + * 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 21:39:14 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twidsq -compact -variables 4 -reload-twiddle -dif -n 4 -name q1_4 -include q.h */ + +/* + * This function contains 88 FP additions, 48 FP multiplications, + * (or, 64 additions, 24 multiplications, 24 fused multiply/add), + * 37 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: q1_4.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_4.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_4.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + */ + +#include "q.h" + +static const R *q1_4(R *rio, R *iio, const R *W, stride is, stride vs, int m, int dist) +{ + int i; + for (i = m; i > 0; i = i - 1, rio = rio + dist, iio = iio + dist, W = W + 6) { + E T3, Te, Tb, Tq, T6, T8, Th, Tr, Tv, TG, TD, TS, Ty, TA, TJ; + E TT, TX, T18, T15, T1k, T10, T12, T1b, T1l, T1p, T1A, T1x, T1M, T1s, T1u; + E T1D, T1N; + { + E T1, T2, T9, Ta; + T1 = rio[0]; + T2 = rio[WS(is, 2)]; + T3 = T1 + T2; + Te = T1 - T2; + T9 = iio[0]; + Ta = iio[WS(is, 2)]; + Tb = T9 - Ta; + Tq = T9 + Ta; + } + { + E T4, T5, Tf, Tg; + T4 = rio[WS(is, 1)]; + T5 = rio[WS(is, 3)]; + T6 = T4 + T5; + T8 = T4 - T5; + Tf = iio[WS(is, 1)]; + Tg = iio[WS(is, 3)]; + Th = Tf - Tg; + Tr = Tf + Tg; + } + { + E Tt, Tu, TB, TC; + Tt = rio[WS(vs, 1)]; + Tu = rio[WS(vs, 1) + WS(is, 2)]; + Tv = Tt + Tu; + TG = Tt - Tu; + TB = iio[WS(vs, 1)]; + TC = iio[WS(vs, 1) + WS(is, 2)]; + TD = TB - TC; + TS = TB + TC; + } + { + E Tw, Tx, TH, TI; + Tw = rio[WS(vs, 1) + WS(is, 1)]; + Tx = rio[WS(vs, 1) + WS(is, 3)]; + Ty = Tw + Tx; + TA = Tw - Tx; + TH = iio[WS(vs, 1) + WS(is, 1)]; + TI = iio[WS(vs, 1) + WS(is, 3)]; + TJ = TH - TI; + TT = TH + TI; + } + { + E TV, TW, T13, T14; + TV = rio[WS(vs, 2)]; + TW = rio[WS(vs, 2) + WS(is, 2)]; + TX = TV + TW; + T18 = TV - TW; + T13 = iio[WS(vs, 2)]; + T14 = iio[WS(vs, 2) + WS(is, 2)]; + T15 = T13 - T14; + T1k = T13 + T14; + } + { + E TY, TZ, T19, T1a; + TY = rio[WS(vs, 2) + WS(is, 1)]; + TZ = rio[WS(vs, 2) + WS(is, 3)]; + T10 = TY + TZ; + T12 = TY - TZ; + T19 = iio[WS(vs, 2) + WS(is, 1)]; + T1a = iio[WS(vs, 2) + WS(is, 3)]; + T1b = T19 - T1a; + T1l = T19 + T1a; + } + { + E T1n, T1o, T1v, T1w; + T1n = rio[WS(vs, 3)]; + T1o = rio[WS(vs, 3) + WS(is, 2)]; + T1p = T1n + T1o; + T1A = T1n - T1o; + T1v = iio[WS(vs, 3)]; + T1w = iio[WS(vs, 3) + WS(is, 2)]; + T1x = T1v - T1w; + T1M = T1v + T1w; + } + { + E T1q, T1r, T1B, T1C; + T1q = rio[WS(vs, 3) + WS(is, 1)]; + T1r = rio[WS(vs, 3) + WS(is, 3)]; + T1s = T1q + T1r; + T1u = T1q - T1r; + T1B = iio[WS(vs, 3) + WS(is, 1)]; + T1C = iio[WS(vs, 3) + WS(is, 3)]; + T1D = T1B - T1C; + T1N = T1B + T1C; + } + rio[0] = T3 + T6; + iio[0] = Tq + Tr; + rio[WS(is, 1)] = Tv + Ty; + iio[WS(is, 1)] = TS + TT; + rio[WS(is, 2)] = TX + T10; + iio[WS(is, 2)] = T1k + T1l; + iio[WS(is, 3)] = T1M + T1N; + rio[WS(is, 3)] = T1p + T1s; + { + E Tc, Ti, T7, Td; + Tc = T8 + Tb; + Ti = Te - Th; + T7 = W[4]; + Td = W[5]; + iio[WS(vs, 3)] = FNMS(Td, Ti, T7 * Tc); + rio[WS(vs, 3)] = FMA(Td, Tc, T7 * Ti); + } + { + E T1K, T1O, T1J, T1L; + T1K = T1p - T1s; + T1O = T1M - T1N; + T1J = W[2]; + T1L = W[3]; + rio[WS(vs, 2) + WS(is, 3)] = FMA(T1J, T1K, T1L * T1O); + iio[WS(vs, 2) + WS(is, 3)] = FNMS(T1L, T1K, T1J * T1O); + } + { + E Tk, Tm, Tj, Tl; + Tk = Tb - T8; + Tm = Te + Th; + Tj = W[0]; + Tl = W[1]; + iio[WS(vs, 1)] = FNMS(Tl, Tm, Tj * Tk); + rio[WS(vs, 1)] = FMA(Tl, Tk, Tj * Tm); + } + { + E To, Ts, Tn, Tp; + To = T3 - T6; + Ts = Tq - Tr; + Tn = W[2]; + Tp = W[3]; + rio[WS(vs, 2)] = FMA(Tn, To, Tp * Ts); + iio[WS(vs, 2)] = FNMS(Tp, To, Tn * Ts); + } + { + E T16, T1c, T11, T17; + T16 = T12 + T15; + T1c = T18 - T1b; + T11 = W[4]; + T17 = W[5]; + iio[WS(vs, 3) + WS(is, 2)] = FNMS(T17, T1c, T11 * T16); + rio[WS(vs, 3) + WS(is, 2)] = FMA(T17, T16, T11 * T1c); + } + { + E T1G, T1I, T1F, T1H; + T1G = T1x - T1u; + T1I = T1A + T1D; + T1F = W[0]; + T1H = W[1]; + iio[WS(vs, 1) + WS(is, 3)] = FNMS(T1H, T1I, T1F * T1G); + rio[WS(vs, 1) + WS(is, 3)] = FMA(T1H, T1G, T1F * T1I); + } + { + E TQ, TU, TP, TR; + TQ = Tv - Ty; + TU = TS - TT; + TP = W[2]; + TR = W[3]; + rio[WS(vs, 2) + WS(is, 1)] = FMA(TP, TQ, TR * TU); + iio[WS(vs, 2) + WS(is, 1)] = FNMS(TR, TQ, TP * TU); + } + { + E T1e, T1g, T1d, T1f; + T1e = T15 - T12; + T1g = T18 + T1b; + T1d = W[0]; + T1f = W[1]; + iio[WS(vs, 1) + WS(is, 2)] = FNMS(T1f, T1g, T1d * T1e); + rio[WS(vs, 1) + WS(is, 2)] = FMA(T1f, T1e, T1d * T1g); + } + { + E T1i, T1m, T1h, T1j; + T1i = TX - T10; + T1m = T1k - T1l; + T1h = W[2]; + T1j = W[3]; + rio[WS(vs, 2) + WS(is, 2)] = FMA(T1h, T1i, T1j * T1m); + iio[WS(vs, 2) + WS(is, 2)] = FNMS(T1j, T1i, T1h * T1m); + } + { + E T1y, T1E, T1t, T1z; + T1y = T1u + T1x; + T1E = T1A - T1D; + T1t = W[4]; + T1z = W[5]; + iio[WS(vs, 3) + WS(is, 3)] = FNMS(T1z, T1E, T1t * T1y); + rio[WS(vs, 3) + WS(is, 3)] = FMA(T1z, T1y, T1t * T1E); + } + { + E TM, TO, TL, TN; + TM = TD - TA; + TO = TG + TJ; + TL = W[0]; + TN = W[1]; + iio[WS(vs, 1) + WS(is, 1)] = FNMS(TN, TO, TL * TM); + rio[WS(vs, 1) + WS(is, 1)] = FMA(TN, TM, TL * TO); + } + { + E TE, TK, Tz, TF; + TE = TA + TD; + TK = TG - TJ; + Tz = W[4]; + TF = W[5]; + iio[WS(vs, 3) + WS(is, 1)] = FNMS(TF, TK, Tz * TE); + rio[WS(vs, 3) + WS(is, 1)] = FMA(TF, TE, Tz * TK); + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 4}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 4, "q1_4", twinstr, {64, 24, 24, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_q1_4) (planner *p) { + X(kdft_difsq_register) (p, q1_4, &desc); +} diff --git a/src/fftw3/dft/codelets/inplace/q1_5.c b/src/fftw3/dft/codelets/inplace/q1_5.c new file mode 100644 index 0000000..144dcb8 --- /dev/null +++ b/src/fftw3/dft/codelets/inplace/q1_5.c @@ -0,0 +1,477 @@ +/* + * 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 21:39:14 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twidsq -compact -variables 4 -reload-twiddle -dif -n 5 -name q1_5 -include q.h */ + +/* + * This function contains 200 FP additions, 140 FP multiplications, + * (or, 130 additions, 70 multiplications, 70 fused multiply/add), + * 75 stack variables, and 100 memory accesses + */ +/* + * Generator Id's : + * $Id: q1_5.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_5.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_5.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + */ + +#include "q.h" + +static const R *q1_5(R *rio, R *iio, const R *W, stride is, stride vs, 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; i > 0; i = i - 1, rio = rio + dist, iio = iio + dist, W = W + 8) { + E T1, Ta, TG, Tv, T8, Tb, Tp, Tj, TD, To, Tq, Tr, TN, TW, T1s; + E T1h, TU, TX, T1b, T15, T1p, T1a, T1c, T1d, T1z, T1I, T2e, T23, T1G, T1J; + E T1X, T1R, T2b, T1W, T1Y, T1Z, T3v, T3p, T3J, T3u, T3w, T3x, T37, T3g, T3M; + E T3B, T3e, T3h, T2l, T2u, T30, T2P, T2s, T2v, T2J, T2D, T2X, T2I, T2K, T2L; + { + E T7, Tu, T4, Tt; + T1 = rio[0]; + { + E T5, T6, T2, T3; + T5 = rio[WS(is, 2)]; + T6 = rio[WS(is, 3)]; + T7 = T5 + T6; + Tu = T5 - T6; + T2 = rio[WS(is, 1)]; + T3 = rio[WS(is, 4)]; + T4 = T2 + T3; + Tt = T2 - T3; + } + Ta = KP559016994 * (T4 - T7); + TG = FNMS(KP587785252, Tt, KP951056516 * Tu); + Tv = FMA(KP951056516, Tt, KP587785252 * Tu); + T8 = T4 + T7; + Tb = FNMS(KP250000000, T8, T1); + } + { + E Ti, Tn, Tf, Tm; + Tp = iio[0]; + { + E Tg, Th, Td, Te; + Tg = iio[WS(is, 2)]; + Th = iio[WS(is, 3)]; + Ti = Tg - Th; + Tn = Tg + Th; + Td = iio[WS(is, 1)]; + Te = iio[WS(is, 4)]; + Tf = Td - Te; + Tm = Td + Te; + } + Tj = FMA(KP951056516, Tf, KP587785252 * Ti); + TD = FNMS(KP587785252, Tf, KP951056516 * Ti); + To = KP559016994 * (Tm - Tn); + Tq = Tm + Tn; + Tr = FNMS(KP250000000, Tq, Tp); + } + { + E TT, T1g, TQ, T1f; + TN = rio[WS(vs, 1)]; + { + E TR, TS, TO, TP; + TR = rio[WS(vs, 1) + WS(is, 2)]; + TS = rio[WS(vs, 1) + WS(is, 3)]; + TT = TR + TS; + T1g = TR - TS; + TO = rio[WS(vs, 1) + WS(is, 1)]; + TP = rio[WS(vs, 1) + WS(is, 4)]; + TQ = TO + TP; + T1f = TO - TP; + } + TW = KP559016994 * (TQ - TT); + T1s = FNMS(KP587785252, T1f, KP951056516 * T1g); + T1h = FMA(KP951056516, T1f, KP587785252 * T1g); + TU = TQ + TT; + TX = FNMS(KP250000000, TU, TN); + } + { + E T14, T19, T11, T18; + T1b = iio[WS(vs, 1)]; + { + E T12, T13, TZ, T10; + T12 = iio[WS(vs, 1) + WS(is, 2)]; + T13 = iio[WS(vs, 1) + WS(is, 3)]; + T14 = T12 - T13; + T19 = T12 + T13; + TZ = iio[WS(vs, 1) + WS(is, 1)]; + T10 = iio[WS(vs, 1) + WS(is, 4)]; + T11 = TZ - T10; + T18 = TZ + T10; + } + T15 = FMA(KP951056516, T11, KP587785252 * T14); + T1p = FNMS(KP587785252, T11, KP951056516 * T14); + T1a = KP559016994 * (T18 - T19); + T1c = T18 + T19; + T1d = FNMS(KP250000000, T1c, T1b); + } + { + E T1F, T22, T1C, T21; + T1z = rio[WS(vs, 2)]; + { + E T1D, T1E, T1A, T1B; + T1D = rio[WS(vs, 2) + WS(is, 2)]; + T1E = rio[WS(vs, 2) + WS(is, 3)]; + T1F = T1D + T1E; + T22 = T1D - T1E; + T1A = rio[WS(vs, 2) + WS(is, 1)]; + T1B = rio[WS(vs, 2) + WS(is, 4)]; + T1C = T1A + T1B; + T21 = T1A - T1B; + } + T1I = KP559016994 * (T1C - T1F); + T2e = FNMS(KP587785252, T21, KP951056516 * T22); + T23 = FMA(KP951056516, T21, KP587785252 * T22); + T1G = T1C + T1F; + T1J = FNMS(KP250000000, T1G, T1z); + } + { + E T1Q, T1V, T1N, T1U; + T1X = iio[WS(vs, 2)]; + { + E T1O, T1P, T1L, T1M; + T1O = iio[WS(vs, 2) + WS(is, 2)]; + T1P = iio[WS(vs, 2) + WS(is, 3)]; + T1Q = T1O - T1P; + T1V = T1O + T1P; + T1L = iio[WS(vs, 2) + WS(is, 1)]; + T1M = iio[WS(vs, 2) + WS(is, 4)]; + T1N = T1L - T1M; + T1U = T1L + T1M; + } + T1R = FMA(KP951056516, T1N, KP587785252 * T1Q); + T2b = FNMS(KP587785252, T1N, KP951056516 * T1Q); + T1W = KP559016994 * (T1U - T1V); + T1Y = T1U + T1V; + T1Z = FNMS(KP250000000, T1Y, T1X); + } + { + E T3o, T3t, T3l, T3s; + T3v = iio[WS(vs, 4)]; + { + E T3m, T3n, T3j, T3k; + T3m = iio[WS(vs, 4) + WS(is, 2)]; + T3n = iio[WS(vs, 4) + WS(is, 3)]; + T3o = T3m - T3n; + T3t = T3m + T3n; + T3j = iio[WS(vs, 4) + WS(is, 1)]; + T3k = iio[WS(vs, 4) + WS(is, 4)]; + T3l = T3j - T3k; + T3s = T3j + T3k; + } + T3p = FMA(KP951056516, T3l, KP587785252 * T3o); + T3J = FNMS(KP587785252, T3l, KP951056516 * T3o); + T3u = KP559016994 * (T3s - T3t); + T3w = T3s + T3t; + T3x = FNMS(KP250000000, T3w, T3v); + } + { + E T3d, T3A, T3a, T3z; + T37 = rio[WS(vs, 4)]; + { + E T3b, T3c, T38, T39; + T3b = rio[WS(vs, 4) + WS(is, 2)]; + T3c = rio[WS(vs, 4) + WS(is, 3)]; + T3d = T3b + T3c; + T3A = T3b - T3c; + T38 = rio[WS(vs, 4) + WS(is, 1)]; + T39 = rio[WS(vs, 4) + WS(is, 4)]; + T3a = T38 + T39; + T3z = T38 - T39; + } + T3g = KP559016994 * (T3a - T3d); + T3M = FNMS(KP587785252, T3z, KP951056516 * T3A); + T3B = FMA(KP951056516, T3z, KP587785252 * T3A); + T3e = T3a + T3d; + T3h = FNMS(KP250000000, T3e, T37); + } + { + E T2r, T2O, T2o, T2N; + T2l = rio[WS(vs, 3)]; + { + E T2p, T2q, T2m, T2n; + T2p = rio[WS(vs, 3) + WS(is, 2)]; + T2q = rio[WS(vs, 3) + WS(is, 3)]; + T2r = T2p + T2q; + T2O = T2p - T2q; + T2m = rio[WS(vs, 3) + WS(is, 1)]; + T2n = rio[WS(vs, 3) + WS(is, 4)]; + T2o = T2m + T2n; + T2N = T2m - T2n; + } + T2u = KP559016994 * (T2o - T2r); + T30 = FNMS(KP587785252, T2N, KP951056516 * T2O); + T2P = FMA(KP951056516, T2N, KP587785252 * T2O); + T2s = T2o + T2r; + T2v = FNMS(KP250000000, T2s, T2l); + } + { + E T2C, T2H, T2z, T2G; + T2J = iio[WS(vs, 3)]; + { + E T2A, T2B, T2x, T2y; + T2A = iio[WS(vs, 3) + WS(is, 2)]; + T2B = iio[WS(vs, 3) + WS(is, 3)]; + T2C = T2A - T2B; + T2H = T2A + T2B; + T2x = iio[WS(vs, 3) + WS(is, 1)]; + T2y = iio[WS(vs, 3) + WS(is, 4)]; + T2z = T2x - T2y; + T2G = T2x + T2y; + } + T2D = FMA(KP951056516, T2z, KP587785252 * T2C); + T2X = FNMS(KP587785252, T2z, KP951056516 * T2C); + T2I = KP559016994 * (T2G - T2H); + T2K = T2G + T2H; + T2L = FNMS(KP250000000, T2K, T2J); + } + rio[0] = T1 + T8; + iio[0] = Tp + Tq; + rio[WS(is, 1)] = TN + TU; + iio[WS(is, 1)] = T1b + T1c; + rio[WS(is, 2)] = T1z + T1G; + iio[WS(is, 2)] = T1X + T1Y; + iio[WS(is, 4)] = T3v + T3w; + rio[WS(is, 4)] = T37 + T3e; + rio[WS(is, 3)] = T2l + T2s; + iio[WS(is, 3)] = T2J + T2K; + { + E Tk, Ty, Tw, TA, Tc, Ts; + Tc = Ta + Tb; + Tk = Tc + Tj; + Ty = Tc - Tj; + Ts = To + Tr; + Tw = Ts - Tv; + TA = Tv + Ts; + { + E T9, Tl, Tx, Tz; + T9 = W[0]; + Tl = W[1]; + rio[WS(vs, 1)] = FMA(T9, Tk, Tl * Tw); + iio[WS(vs, 1)] = FNMS(Tl, Tk, T9 * Tw); + Tx = W[6]; + Tz = W[7]; + rio[WS(vs, 4)] = FMA(Tx, Ty, Tz * TA); + iio[WS(vs, 4)] = FNMS(Tz, Ty, Tx * TA); + } + } + { + E TE, TK, TI, TM, TC, TH; + TC = Tb - Ta; + TE = TC - TD; + TK = TC + TD; + TH = Tr - To; + TI = TG + TH; + TM = TH - TG; + { + E TB, TF, TJ, TL; + TB = W[2]; + TF = W[3]; + rio[WS(vs, 2)] = FMA(TB, TE, TF * TI); + iio[WS(vs, 2)] = FNMS(TF, TE, TB * TI); + TJ = W[4]; + TL = W[5]; + rio[WS(vs, 3)] = FMA(TJ, TK, TL * TM); + iio[WS(vs, 3)] = FNMS(TL, TK, TJ * TM); + } + } + { + E T2c, T2i, T2g, T2k, T2a, T2f; + T2a = T1J - T1I; + T2c = T2a - T2b; + T2i = T2a + T2b; + T2f = T1Z - T1W; + T2g = T2e + T2f; + T2k = T2f - T2e; + { + E T29, T2d, T2h, T2j; + T29 = W[2]; + T2d = W[3]; + rio[WS(vs, 2) + WS(is, 2)] = FMA(T29, T2c, T2d * T2g); + iio[WS(vs, 2) + WS(is, 2)] = FNMS(T2d, T2c, T29 * T2g); + T2h = W[4]; + T2j = W[5]; + rio[WS(vs, 3) + WS(is, 2)] = FMA(T2h, T2i, T2j * T2k); + iio[WS(vs, 3) + WS(is, 2)] = FNMS(T2j, T2i, T2h * T2k); + } + } + { + E T3K, T3Q, T3O, T3S, T3I, T3N; + T3I = T3h - T3g; + T3K = T3I - T3J; + T3Q = T3I + T3J; + T3N = T3x - T3u; + T3O = T3M + T3N; + T3S = T3N - T3M; + { + E T3H, T3L, T3P, T3R; + T3H = W[2]; + T3L = W[3]; + rio[WS(vs, 2) + WS(is, 4)] = FMA(T3H, T3K, T3L * T3O); + iio[WS(vs, 2) + WS(is, 4)] = FNMS(T3L, T3K, T3H * T3O); + T3P = W[4]; + T3R = W[5]; + rio[WS(vs, 3) + WS(is, 4)] = FMA(T3P, T3Q, T3R * T3S); + iio[WS(vs, 3) + WS(is, 4)] = FNMS(T3R, T3Q, T3P * T3S); + } + } + { + E T1S, T26, T24, T28, T1K, T20; + T1K = T1I + T1J; + T1S = T1K + T1R; + T26 = T1K - T1R; + T20 = T1W + T1Z; + T24 = T20 - T23; + T28 = T23 + T20; + { + E T1H, T1T, T25, T27; + T1H = W[0]; + T1T = W[1]; + rio[WS(vs, 1) + WS(is, 2)] = FMA(T1H, T1S, T1T * T24); + iio[WS(vs, 1) + WS(is, 2)] = FNMS(T1T, T1S, T1H * T24); + T25 = W[6]; + T27 = W[7]; + rio[WS(vs, 4) + WS(is, 2)] = FMA(T25, T26, T27 * T28); + iio[WS(vs, 4) + WS(is, 2)] = FNMS(T27, T26, T25 * T28); + } + } + { + E T2E, T2S, T2Q, T2U, T2w, T2M; + T2w = T2u + T2v; + T2E = T2w + T2D; + T2S = T2w - T2D; + T2M = T2I + T2L; + T2Q = T2M - T2P; + T2U = T2P + T2M; + { + E T2t, T2F, T2R, T2T; + T2t = W[0]; + T2F = W[1]; + rio[WS(vs, 1) + WS(is, 3)] = FMA(T2t, T2E, T2F * T2Q); + iio[WS(vs, 1) + WS(is, 3)] = FNMS(T2F, T2E, T2t * T2Q); + T2R = W[6]; + T2T = W[7]; + rio[WS(vs, 4) + WS(is, 3)] = FMA(T2R, T2S, T2T * T2U); + iio[WS(vs, 4) + WS(is, 3)] = FNMS(T2T, T2S, T2R * T2U); + } + } + { + E T2Y, T34, T32, T36, T2W, T31; + T2W = T2v - T2u; + T2Y = T2W - T2X; + T34 = T2W + T2X; + T31 = T2L - T2I; + T32 = T30 + T31; + T36 = T31 - T30; + { + E T2V, T2Z, T33, T35; + T2V = W[2]; + T2Z = W[3]; + rio[WS(vs, 2) + WS(is, 3)] = FMA(T2V, T2Y, T2Z * T32); + iio[WS(vs, 2) + WS(is, 3)] = FNMS(T2Z, T2Y, T2V * T32); + T33 = W[4]; + T35 = W[5]; + rio[WS(vs, 3) + WS(is, 3)] = FMA(T33, T34, T35 * T36); + iio[WS(vs, 3) + WS(is, 3)] = FNMS(T35, T34, T33 * T36); + } + } + { + E T3q, T3E, T3C, T3G, T3i, T3y; + T3i = T3g + T3h; + T3q = T3i + T3p; + T3E = T3i - T3p; + T3y = T3u + T3x; + T3C = T3y - T3B; + T3G = T3B + T3y; + { + E T3f, T3r, T3D, T3F; + T3f = W[0]; + T3r = W[1]; + rio[WS(vs, 1) + WS(is, 4)] = FMA(T3f, T3q, T3r * T3C); + iio[WS(vs, 1) + WS(is, 4)] = FNMS(T3r, T3q, T3f * T3C); + T3D = W[6]; + T3F = W[7]; + rio[WS(vs, 4) + WS(is, 4)] = FMA(T3D, T3E, T3F * T3G); + iio[WS(vs, 4) + WS(is, 4)] = FNMS(T3F, T3E, T3D * T3G); + } + } + { + E T1q, T1w, T1u, T1y, T1o, T1t; + T1o = TX - TW; + T1q = T1o - T1p; + T1w = T1o + T1p; + T1t = T1d - T1a; + T1u = T1s + T1t; + T1y = T1t - T1s; + { + E T1n, T1r, T1v, T1x; + T1n = W[2]; + T1r = W[3]; + rio[WS(vs, 2) + WS(is, 1)] = FMA(T1n, T1q, T1r * T1u); + iio[WS(vs, 2) + WS(is, 1)] = FNMS(T1r, T1q, T1n * T1u); + T1v = W[4]; + T1x = W[5]; + rio[WS(vs, 3) + WS(is, 1)] = FMA(T1v, T1w, T1x * T1y); + iio[WS(vs, 3) + WS(is, 1)] = FNMS(T1x, T1w, T1v * T1y); + } + } + { + E T16, T1k, T1i, T1m, TY, T1e; + TY = TW + TX; + T16 = TY + T15; + T1k = TY - T15; + T1e = T1a + T1d; + T1i = T1e - T1h; + T1m = T1h + T1e; + { + E TV, T17, T1j, T1l; + TV = W[0]; + T17 = W[1]; + rio[WS(vs, 1) + WS(is, 1)] = FMA(TV, T16, T17 * T1i); + iio[WS(vs, 1) + WS(is, 1)] = FNMS(T17, T16, TV * T1i); + T1j = W[6]; + T1l = W[7]; + rio[WS(vs, 4) + WS(is, 1)] = FMA(T1j, T1k, T1l * T1m); + iio[WS(vs, 4) + WS(is, 1)] = FNMS(T1l, T1k, T1j * T1m); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 5}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 5, "q1_5", twinstr, {130, 70, 70, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_q1_5) (planner *p) { + X(kdft_difsq_register) (p, q1_5, &desc); +} diff --git a/src/fftw3/dft/codelets/inplace/q1_6.c b/src/fftw3/dft/codelets/inplace/q1_6.c new file mode 100644 index 0000000..82bdac3 --- /dev/null +++ b/src/fftw3/dft/codelets/inplace/q1_6.c @@ -0,0 +1,654 @@ +/* + * 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 21:39:14 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twidsq -compact -variables 4 -reload-twiddle -dif -n 6 -name q1_6 -include q.h */ + +/* + * This function contains 276 FP additions, 168 FP multiplications, + * (or, 192 additions, 84 multiplications, 84 fused multiply/add), + * 85 stack variables, and 144 memory accesses + */ +/* + * Generator Id's : + * $Id: q1_6.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_6.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_6.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + */ + +#include "q.h" + +static const R *q1_6(R *rio, R *iio, const R *W, stride is, stride vs, int m, int dist) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m; i > 0; i = i - 1, rio = rio + dist, iio = iio + dist, W = W + 10) { + E T3, Tc, Tt, TM, TX, T16, T1n, T1G, T2h, T2A, T1R, T20, T2L, T2U, T3b; + E T3u, T3F, T3O, T45, T4o, T4Z, T5i, T4z, T4I, Ta, TP, Tf, Tq, Tn, TN; + E Tu, TJ, T14, T1J, T19, T1k, T1h, T1H, T1o, T1D, T2b, T2B, T2i, T2x, T1Y; + E T2D, T23, T2e, T2S, T3x, T2X, T38, T35, T3v, T3c, T3r, T3M, T4r, T3R, T42; + E T3Z, T4p, T46, T4l, T4T, T5j, T50, T5f, T4G, T5l, T4L, T4W; + { + E T1, T2, T1l, T1m; + T1 = rio[0]; + T2 = rio[WS(is, 3)]; + T3 = T1 + T2; + Tc = T1 - T2; + { + E Tr, Ts, TV, TW; + Tr = iio[0]; + Ts = iio[WS(is, 3)]; + Tt = Tr - Ts; + TM = Tr + Ts; + TV = rio[WS(vs, 1)]; + TW = rio[WS(vs, 1) + WS(is, 3)]; + TX = TV + TW; + T16 = TV - TW; + } + T1l = iio[WS(vs, 1)]; + T1m = iio[WS(vs, 1) + WS(is, 3)]; + T1n = T1l - T1m; + T1G = T1l + T1m; + { + E T2f, T2g, T1P, T1Q; + T2f = iio[WS(vs, 2)]; + T2g = iio[WS(vs, 2) + WS(is, 3)]; + T2h = T2f - T2g; + T2A = T2f + T2g; + T1P = rio[WS(vs, 2)]; + T1Q = rio[WS(vs, 2) + WS(is, 3)]; + T1R = T1P + T1Q; + T20 = T1P - T1Q; + } + } + { + E T2J, T2K, T43, T44; + T2J = rio[WS(vs, 3)]; + T2K = rio[WS(vs, 3) + WS(is, 3)]; + T2L = T2J + T2K; + T2U = T2J - T2K; + { + E T39, T3a, T3D, T3E; + T39 = iio[WS(vs, 3)]; + T3a = iio[WS(vs, 3) + WS(is, 3)]; + T3b = T39 - T3a; + T3u = T39 + T3a; + T3D = rio[WS(vs, 4)]; + T3E = rio[WS(vs, 4) + WS(is, 3)]; + T3F = T3D + T3E; + T3O = T3D - T3E; + } + T43 = iio[WS(vs, 4)]; + T44 = iio[WS(vs, 4) + WS(is, 3)]; + T45 = T43 - T44; + T4o = T43 + T44; + { + E T4X, T4Y, T4x, T4y; + T4X = iio[WS(vs, 5)]; + T4Y = iio[WS(vs, 5) + WS(is, 3)]; + T4Z = T4X - T4Y; + T5i = T4X + T4Y; + T4x = rio[WS(vs, 5)]; + T4y = rio[WS(vs, 5) + WS(is, 3)]; + T4z = T4x + T4y; + T4I = T4x - T4y; + } + } + { + E T6, Td, T9, Te; + { + E T4, T5, T7, T8; + T4 = rio[WS(is, 2)]; + T5 = rio[WS(is, 5)]; + T6 = T4 + T5; + Td = T4 - T5; + T7 = rio[WS(is, 4)]; + T8 = rio[WS(is, 1)]; + T9 = T7 + T8; + Te = T7 - T8; + } + Ta = T6 + T9; + TP = KP866025403 * (T9 - T6); + Tf = Td + Te; + Tq = KP866025403 * (Te - Td); + } + { + E Tj, TH, Tm, TI; + { + E Th, Ti, Tk, Tl; + Th = iio[WS(is, 2)]; + Ti = iio[WS(is, 5)]; + Tj = Th - Ti; + TH = Th + Ti; + Tk = iio[WS(is, 4)]; + Tl = iio[WS(is, 1)]; + Tm = Tk - Tl; + TI = Tk + Tl; + } + Tn = KP866025403 * (Tj - Tm); + TN = TH + TI; + Tu = Tj + Tm; + TJ = KP866025403 * (TH - TI); + } + { + E T10, T17, T13, T18; + { + E TY, TZ, T11, T12; + TY = rio[WS(vs, 1) + WS(is, 2)]; + TZ = rio[WS(vs, 1) + WS(is, 5)]; + T10 = TY + TZ; + T17 = TY - TZ; + T11 = rio[WS(vs, 1) + WS(is, 4)]; + T12 = rio[WS(vs, 1) + WS(is, 1)]; + T13 = T11 + T12; + T18 = T11 - T12; + } + T14 = T10 + T13; + T1J = KP866025403 * (T13 - T10); + T19 = T17 + T18; + T1k = KP866025403 * (T18 - T17); + } + { + E T1d, T1B, T1g, T1C; + { + E T1b, T1c, T1e, T1f; + T1b = iio[WS(vs, 1) + WS(is, 2)]; + T1c = iio[WS(vs, 1) + WS(is, 5)]; + T1d = T1b - T1c; + T1B = T1b + T1c; + T1e = iio[WS(vs, 1) + WS(is, 4)]; + T1f = iio[WS(vs, 1) + WS(is, 1)]; + T1g = T1e - T1f; + T1C = T1e + T1f; + } + T1h = KP866025403 * (T1d - T1g); + T1H = T1B + T1C; + T1o = T1d + T1g; + T1D = KP866025403 * (T1B - T1C); + } + { + E T27, T2v, T2a, T2w; + { + E T25, T26, T28, T29; + T25 = iio[WS(vs, 2) + WS(is, 2)]; + T26 = iio[WS(vs, 2) + WS(is, 5)]; + T27 = T25 - T26; + T2v = T25 + T26; + T28 = iio[WS(vs, 2) + WS(is, 4)]; + T29 = iio[WS(vs, 2) + WS(is, 1)]; + T2a = T28 - T29; + T2w = T28 + T29; + } + T2b = KP866025403 * (T27 - T2a); + T2B = T2v + T2w; + T2i = T27 + T2a; + T2x = KP866025403 * (T2v - T2w); + } + { + E T1U, T21, T1X, T22; + { + E T1S, T1T, T1V, T1W; + T1S = rio[WS(vs, 2) + WS(is, 2)]; + T1T = rio[WS(vs, 2) + WS(is, 5)]; + T1U = T1S + T1T; + T21 = T1S - T1T; + T1V = rio[WS(vs, 2) + WS(is, 4)]; + T1W = rio[WS(vs, 2) + WS(is, 1)]; + T1X = T1V + T1W; + T22 = T1V - T1W; + } + T1Y = T1U + T1X; + T2D = KP866025403 * (T1X - T1U); + T23 = T21 + T22; + T2e = KP866025403 * (T22 - T21); + } + { + E T2O, T2V, T2R, T2W; + { + E T2M, T2N, T2P, T2Q; + T2M = rio[WS(vs, 3) + WS(is, 2)]; + T2N = rio[WS(vs, 3) + WS(is, 5)]; + T2O = T2M + T2N; + T2V = T2M - T2N; + T2P = rio[WS(vs, 3) + WS(is, 4)]; + T2Q = rio[WS(vs, 3) + WS(is, 1)]; + T2R = T2P + T2Q; + T2W = T2P - T2Q; + } + T2S = T2O + T2R; + T3x = KP866025403 * (T2R - T2O); + T2X = T2V + T2W; + T38 = KP866025403 * (T2W - T2V); + } + { + E T31, T3p, T34, T3q; + { + E T2Z, T30, T32, T33; + T2Z = iio[WS(vs, 3) + WS(is, 2)]; + T30 = iio[WS(vs, 3) + WS(is, 5)]; + T31 = T2Z - T30; + T3p = T2Z + T30; + T32 = iio[WS(vs, 3) + WS(is, 4)]; + T33 = iio[WS(vs, 3) + WS(is, 1)]; + T34 = T32 - T33; + T3q = T32 + T33; + } + T35 = KP866025403 * (T31 - T34); + T3v = T3p + T3q; + T3c = T31 + T34; + T3r = KP866025403 * (T3p - T3q); + } + { + E T3I, T3P, T3L, T3Q; + { + E T3G, T3H, T3J, T3K; + T3G = rio[WS(vs, 4) + WS(is, 2)]; + T3H = rio[WS(vs, 4) + WS(is, 5)]; + T3I = T3G + T3H; + T3P = T3G - T3H; + T3J = rio[WS(vs, 4) + WS(is, 4)]; + T3K = rio[WS(vs, 4) + WS(is, 1)]; + T3L = T3J + T3K; + T3Q = T3J - T3K; + } + T3M = T3I + T3L; + T4r = KP866025403 * (T3L - T3I); + T3R = T3P + T3Q; + T42 = KP866025403 * (T3Q - T3P); + } + { + E T3V, T4j, T3Y, T4k; + { + E T3T, T3U, T3W, T3X; + T3T = iio[WS(vs, 4) + WS(is, 2)]; + T3U = iio[WS(vs, 4) + WS(is, 5)]; + T3V = T3T - T3U; + T4j = T3T + T3U; + T3W = iio[WS(vs, 4) + WS(is, 4)]; + T3X = iio[WS(vs, 4) + WS(is, 1)]; + T3Y = T3W - T3X; + T4k = T3W + T3X; + } + T3Z = KP866025403 * (T3V - T3Y); + T4p = T4j + T4k; + T46 = T3V + T3Y; + T4l = KP866025403 * (T4j - T4k); + } + { + E T4P, T5d, T4S, T5e; + { + E T4N, T4O, T4Q, T4R; + T4N = iio[WS(vs, 5) + WS(is, 2)]; + T4O = iio[WS(vs, 5) + WS(is, 5)]; + T4P = T4N - T4O; + T5d = T4N + T4O; + T4Q = iio[WS(vs, 5) + WS(is, 4)]; + T4R = iio[WS(vs, 5) + WS(is, 1)]; + T4S = T4Q - T4R; + T5e = T4Q + T4R; + } + T4T = KP866025403 * (T4P - T4S); + T5j = T5d + T5e; + T50 = T4P + T4S; + T5f = KP866025403 * (T5d - T5e); + } + { + E T4C, T4J, T4F, T4K; + { + E T4A, T4B, T4D, T4E; + T4A = rio[WS(vs, 5) + WS(is, 2)]; + T4B = rio[WS(vs, 5) + WS(is, 5)]; + T4C = T4A + T4B; + T4J = T4A - T4B; + T4D = rio[WS(vs, 5) + WS(is, 4)]; + T4E = rio[WS(vs, 5) + WS(is, 1)]; + T4F = T4D + T4E; + T4K = T4D - T4E; + } + T4G = T4C + T4F; + T5l = KP866025403 * (T4F - T4C); + T4L = T4J + T4K; + T4W = KP866025403 * (T4K - T4J); + } + rio[0] = T3 + Ta; + iio[0] = TM + TN; + rio[WS(is, 1)] = TX + T14; + iio[WS(is, 1)] = T1G + T1H; + rio[WS(is, 3)] = T2L + T2S; + rio[WS(is, 2)] = T1R + T1Y; + iio[WS(is, 2)] = T2A + T2B; + iio[WS(is, 3)] = T3u + T3v; + iio[WS(is, 4)] = T4o + T4p; + iio[WS(is, 5)] = T5i + T5j; + rio[WS(is, 5)] = T4z + T4G; + rio[WS(is, 4)] = T3F + T3M; + { + E T1w, T1y, T1v, T1x; + T1w = T16 + T19; + T1y = T1n + T1o; + T1v = W[4]; + T1x = W[5]; + rio[WS(vs, 3) + WS(is, 1)] = FMA(T1v, T1w, T1x * T1y); + iio[WS(vs, 3) + WS(is, 1)] = FNMS(T1x, T1w, T1v * T1y); + } + { + E T58, T5a, T57, T59; + T58 = T4I + T4L; + T5a = T4Z + T50; + T57 = W[4]; + T59 = W[5]; + rio[WS(vs, 3) + WS(is, 5)] = FMA(T57, T58, T59 * T5a); + iio[WS(vs, 3) + WS(is, 5)] = FNMS(T59, T58, T57 * T5a); + } + { + E TC, TE, TB, TD; + TC = Tc + Tf; + TE = Tt + Tu; + TB = W[4]; + TD = W[5]; + rio[WS(vs, 3)] = FMA(TB, TC, TD * TE); + iio[WS(vs, 3)] = FNMS(TD, TC, TB * TE); + } + { + E T4e, T4g, T4d, T4f; + T4e = T3O + T3R; + T4g = T45 + T46; + T4d = W[4]; + T4f = W[5]; + rio[WS(vs, 3) + WS(is, 4)] = FMA(T4d, T4e, T4f * T4g); + iio[WS(vs, 3) + WS(is, 4)] = FNMS(T4f, T4e, T4d * T4g); + } + { + E T3k, T3m, T3j, T3l; + T3k = T2U + T2X; + T3m = T3b + T3c; + T3j = W[4]; + T3l = W[5]; + rio[WS(vs, 3) + WS(is, 3)] = FMA(T3j, T3k, T3l * T3m); + iio[WS(vs, 3) + WS(is, 3)] = FNMS(T3l, T3k, T3j * T3m); + } + { + E T2q, T2s, T2p, T2r; + T2q = T20 + T23; + T2s = T2h + T2i; + T2p = W[4]; + T2r = W[5]; + rio[WS(vs, 3) + WS(is, 2)] = FMA(T2p, T2q, T2r * T2s); + iio[WS(vs, 3) + WS(is, 2)] = FNMS(T2r, T2q, T2p * T2s); + } + { + E T5g, T5o, T5m, T5q, T5c, T5k; + T5c = FNMS(KP500000000, T4G, T4z); + T5g = T5c - T5f; + T5o = T5c + T5f; + T5k = FNMS(KP500000000, T5j, T5i); + T5m = T5k - T5l; + T5q = T5l + T5k; + { + E T5b, T5h, T5n, T5p; + T5b = W[2]; + T5h = W[3]; + rio[WS(vs, 2) + WS(is, 5)] = FMA(T5b, T5g, T5h * T5m); + iio[WS(vs, 2) + WS(is, 5)] = FNMS(T5h, T5g, T5b * T5m); + T5n = W[6]; + T5p = W[7]; + rio[WS(vs, 4) + WS(is, 5)] = FMA(T5n, T5o, T5p * T5q); + iio[WS(vs, 4) + WS(is, 5)] = FNMS(T5p, T5o, T5n * T5q); + } + } + { + E To, Ty, Tw, TA, Tg, Tv; + Tg = FNMS(KP500000000, Tf, Tc); + To = Tg + Tn; + Ty = Tg - Tn; + Tv = FNMS(KP500000000, Tu, Tt); + Tw = Tq + Tv; + TA = Tv - Tq; + { + E Tb, Tp, Tx, Tz; + Tb = W[0]; + Tp = W[1]; + rio[WS(vs, 1)] = FMA(Tb, To, Tp * Tw); + iio[WS(vs, 1)] = FNMS(Tp, To, Tb * Tw); + Tx = W[8]; + Tz = W[9]; + rio[WS(vs, 5)] = FMA(Tx, Ty, Tz * TA); + iio[WS(vs, 5)] = FNMS(Tz, Ty, Tx * TA); + } + } + { + E T36, T3g, T3e, T3i, T2Y, T3d; + T2Y = FNMS(KP500000000, T2X, T2U); + T36 = T2Y + T35; + T3g = T2Y - T35; + T3d = FNMS(KP500000000, T3c, T3b); + T3e = T38 + T3d; + T3i = T3d - T38; + { + E T2T, T37, T3f, T3h; + T2T = W[0]; + T37 = W[1]; + rio[WS(vs, 1) + WS(is, 3)] = FMA(T2T, T36, T37 * T3e); + iio[WS(vs, 1) + WS(is, 3)] = FNMS(T37, T36, T2T * T3e); + T3f = W[8]; + T3h = W[9]; + rio[WS(vs, 5) + WS(is, 3)] = FMA(T3f, T3g, T3h * T3i); + iio[WS(vs, 5) + WS(is, 3)] = FNMS(T3h, T3g, T3f * T3i); + } + } + { + E T2y, T2G, T2E, T2I, T2u, T2C; + T2u = FNMS(KP500000000, T1Y, T1R); + T2y = T2u - T2x; + T2G = T2u + T2x; + T2C = FNMS(KP500000000, T2B, T2A); + T2E = T2C - T2D; + T2I = T2D + T2C; + { + E T2t, T2z, T2F, T2H; + T2t = W[2]; + T2z = W[3]; + rio[WS(vs, 2) + WS(is, 2)] = FMA(T2t, T2y, T2z * T2E); + iio[WS(vs, 2) + WS(is, 2)] = FNMS(T2z, T2y, T2t * T2E); + T2F = W[6]; + T2H = W[7]; + rio[WS(vs, 4) + WS(is, 2)] = FMA(T2F, T2G, T2H * T2I); + iio[WS(vs, 4) + WS(is, 2)] = FNMS(T2H, T2G, T2F * T2I); + } + } + { + E T3s, T3A, T3y, T3C, T3o, T3w; + T3o = FNMS(KP500000000, T2S, T2L); + T3s = T3o - T3r; + T3A = T3o + T3r; + T3w = FNMS(KP500000000, T3v, T3u); + T3y = T3w - T3x; + T3C = T3x + T3w; + { + E T3n, T3t, T3z, T3B; + T3n = W[2]; + T3t = W[3]; + rio[WS(vs, 2) + WS(is, 3)] = FMA(T3n, T3s, T3t * T3y); + iio[WS(vs, 2) + WS(is, 3)] = FNMS(T3t, T3s, T3n * T3y); + T3z = W[6]; + T3B = W[7]; + rio[WS(vs, 4) + WS(is, 3)] = FMA(T3z, T3A, T3B * T3C); + iio[WS(vs, 4) + WS(is, 3)] = FNMS(T3B, T3A, T3z * T3C); + } + } + { + E T1E, T1M, T1K, T1O, T1A, T1I; + T1A = FNMS(KP500000000, T14, TX); + T1E = T1A - T1D; + T1M = T1A + T1D; + T1I = FNMS(KP500000000, T1H, T1G); + T1K = T1I - T1J; + T1O = T1J + T1I; + { + E T1z, T1F, T1L, T1N; + T1z = W[2]; + T1F = W[3]; + rio[WS(vs, 2) + WS(is, 1)] = FMA(T1z, T1E, T1F * T1K); + iio[WS(vs, 2) + WS(is, 1)] = FNMS(T1F, T1E, T1z * T1K); + T1L = W[6]; + T1N = W[7]; + rio[WS(vs, 4) + WS(is, 1)] = FMA(T1L, T1M, T1N * T1O); + iio[WS(vs, 4) + WS(is, 1)] = FNMS(T1N, T1M, T1L * T1O); + } + } + { + E T4m, T4u, T4s, T4w, T4i, T4q; + T4i = FNMS(KP500000000, T3M, T3F); + T4m = T4i - T4l; + T4u = T4i + T4l; + T4q = FNMS(KP500000000, T4p, T4o); + T4s = T4q - T4r; + T4w = T4r + T4q; + { + E T4h, T4n, T4t, T4v; + T4h = W[2]; + T4n = W[3]; + rio[WS(vs, 2) + WS(is, 4)] = FMA(T4h, T4m, T4n * T4s); + iio[WS(vs, 2) + WS(is, 4)] = FNMS(T4n, T4m, T4h * T4s); + T4t = W[6]; + T4v = W[7]; + rio[WS(vs, 4) + WS(is, 4)] = FMA(T4t, T4u, T4v * T4w); + iio[WS(vs, 4) + WS(is, 4)] = FNMS(T4v, T4u, T4t * T4w); + } + } + { + E TK, TS, TQ, TU, TG, TO; + TG = FNMS(KP500000000, Ta, T3); + TK = TG - TJ; + TS = TG + TJ; + TO = FNMS(KP500000000, TN, TM); + TQ = TO - TP; + TU = TP + TO; + { + E TF, TL, TR, TT; + TF = W[2]; + TL = W[3]; + rio[WS(vs, 2)] = FMA(TF, TK, TL * TQ); + iio[WS(vs, 2)] = FNMS(TL, TK, TF * TQ); + TR = W[6]; + TT = W[7]; + rio[WS(vs, 4)] = FMA(TR, TS, TT * TU); + iio[WS(vs, 4)] = FNMS(TT, TS, TR * TU); + } + } + { + E T2c, T2m, T2k, T2o, T24, T2j; + T24 = FNMS(KP500000000, T23, T20); + T2c = T24 + T2b; + T2m = T24 - T2b; + T2j = FNMS(KP500000000, T2i, T2h); + T2k = T2e + T2j; + T2o = T2j - T2e; + { + E T1Z, T2d, T2l, T2n; + T1Z = W[0]; + T2d = W[1]; + rio[WS(vs, 1) + WS(is, 2)] = FMA(T1Z, T2c, T2d * T2k); + iio[WS(vs, 1) + WS(is, 2)] = FNMS(T2d, T2c, T1Z * T2k); + T2l = W[8]; + T2n = W[9]; + rio[WS(vs, 5) + WS(is, 2)] = FMA(T2l, T2m, T2n * T2o); + iio[WS(vs, 5) + WS(is, 2)] = FNMS(T2n, T2m, T2l * T2o); + } + } + { + E T40, T4a, T48, T4c, T3S, T47; + T3S = FNMS(KP500000000, T3R, T3O); + T40 = T3S + T3Z; + T4a = T3S - T3Z; + T47 = FNMS(KP500000000, T46, T45); + T48 = T42 + T47; + T4c = T47 - T42; + { + E T3N, T41, T49, T4b; + T3N = W[0]; + T41 = W[1]; + rio[WS(vs, 1) + WS(is, 4)] = FMA(T3N, T40, T41 * T48); + iio[WS(vs, 1) + WS(is, 4)] = FNMS(T41, T40, T3N * T48); + T49 = W[8]; + T4b = W[9]; + rio[WS(vs, 5) + WS(is, 4)] = FMA(T49, T4a, T4b * T4c); + iio[WS(vs, 5) + WS(is, 4)] = FNMS(T4b, T4a, T49 * T4c); + } + } + { + E T1i, T1s, T1q, T1u, T1a, T1p; + T1a = FNMS(KP500000000, T19, T16); + T1i = T1a + T1h; + T1s = T1a - T1h; + T1p = FNMS(KP500000000, T1o, T1n); + T1q = T1k + T1p; + T1u = T1p - T1k; + { + E T15, T1j, T1r, T1t; + T15 = W[0]; + T1j = W[1]; + rio[WS(vs, 1) + WS(is, 1)] = FMA(T15, T1i, T1j * T1q); + iio[WS(vs, 1) + WS(is, 1)] = FNMS(T1j, T1i, T15 * T1q); + T1r = W[8]; + T1t = W[9]; + rio[WS(vs, 5) + WS(is, 1)] = FMA(T1r, T1s, T1t * T1u); + iio[WS(vs, 5) + WS(is, 1)] = FNMS(T1t, T1s, T1r * T1u); + } + } + { + E T4U, T54, T52, T56, T4M, T51; + T4M = FNMS(KP500000000, T4L, T4I); + T4U = T4M + T4T; + T54 = T4M - T4T; + T51 = FNMS(KP500000000, T50, T4Z); + T52 = T4W + T51; + T56 = T51 - T4W; + { + E T4H, T4V, T53, T55; + T4H = W[0]; + T4V = W[1]; + rio[WS(vs, 1) + WS(is, 5)] = FMA(T4H, T4U, T4V * T52); + iio[WS(vs, 1) + WS(is, 5)] = FNMS(T4V, T4U, T4H * T52); + T53 = W[8]; + T55 = W[9]; + rio[WS(vs, 5) + WS(is, 5)] = FMA(T53, T54, T55 * T56); + iio[WS(vs, 5) + WS(is, 5)] = FNMS(T55, T54, T53 * T56); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 6}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 6, "q1_6", twinstr, {192, 84, 84, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_q1_6) (planner *p) { + X(kdft_difsq_register) (p, q1_6, &desc); +} diff --git a/src/fftw3/dft/codelets/inplace/q1_8.c b/src/fftw3/dft/codelets/inplace/q1_8.c new file mode 100644 index 0000000..84409a7 --- /dev/null +++ b/src/fftw3/dft/codelets/inplace/q1_8.c @@ -0,0 +1,1149 @@ +/* + * 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 21:39:14 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twidsq -compact -variables 4 -reload-twiddle -dif -n 8 -name q1_8 -include q.h */ + +/* + * This function contains 528 FP additions, 256 FP multiplications, + * (or, 416 additions, 144 multiplications, 112 fused multiply/add), + * 142 stack variables, and 256 memory accesses + */ +/* + * Generator Id's : + * $Id: q1_8.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_8.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + * $Id: q1_8.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ + */ + +#include "q.h" + +static const R *q1_8(R *rio, R *iio, const R *W, stride is, stride vs, int m, int dist) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m; i > 0; i = i - 1, rio = rio + dist, iio = iio + dist, W = W + 14) { + E T7, T14, T1g, Tk, TC, TQ, T10, TM, T1w, T2p, T2z, T1H, T1M, T1W, T2j; + E T1V, T7R, T8O, T90, T84, T8m, T8A, T8K, T8w, T9g, Ta9, Taj, T9r, T9w, T9G; + E Ta3, T9F, Te, T17, T1h, Tp, Tu, TE, T11, TD, T1p, T2m, T2y, T1C, T1U; + E T28, T2i, T24, T7Y, T8R, T91, T89, T8e, T8o, T8L, T8n, T99, Ta6, Tai, T9m; + E T9E, T9S, Ta2, T9O, T2H, T3E, T3Q, T2U, T3c, T3q, T3A, T3m, T46, T4Z, T59; + E T4h, T4m, T4w, T4T, T4v, T5h, T6e, T6q, T5u, T5M, T60, T6a, T5W, T6G, T7z; + E T7J, T6R, T6W, T76, T7t, T75, T2O, T3H, T3R, T2Z, T34, T3e, T3B, T3d, T3Z; + E T4W, T58, T4c, T4u, T4I, T4S, T4E, T5o, T6h, T6r, T5z, T5E, T5O, T6b, T5N; + E T6z, T7w, T7I, T6M, T74, T7i, T7s, T7e; + { + E T3, Ty, Tj, TY, T6, Tg, TB, TZ; + { + E T1, T2, Th, Ti; + T1 = rio[0]; + T2 = rio[WS(is, 4)]; + T3 = T1 + T2; + Ty = T1 - T2; + Th = iio[0]; + Ti = iio[WS(is, 4)]; + Tj = Th - Ti; + TY = Th + Ti; + } + { + E T4, T5, Tz, TA; + T4 = rio[WS(is, 2)]; + T5 = rio[WS(is, 6)]; + T6 = T4 + T5; + Tg = T4 - T5; + Tz = iio[WS(is, 2)]; + TA = iio[WS(is, 6)]; + TB = Tz - TA; + TZ = Tz + TA; + } + T7 = T3 + T6; + T14 = T3 - T6; + T1g = TY + TZ; + Tk = Tg + Tj; + TC = Ty - TB; + TQ = Tj - Tg; + T10 = TY - TZ; + TM = Ty + TB; + } + { + E T1s, T1I, T1L, T2n, T1v, T1D, T1G, T2o; + { + E T1q, T1r, T1J, T1K; + T1q = rio[WS(vs, 1) + WS(is, 1)]; + T1r = rio[WS(vs, 1) + WS(is, 5)]; + T1s = T1q + T1r; + T1I = T1q - T1r; + T1J = iio[WS(vs, 1) + WS(is, 1)]; + T1K = iio[WS(vs, 1) + WS(is, 5)]; + T1L = T1J - T1K; + T2n = T1J + T1K; + } + { + E T1t, T1u, T1E, T1F; + T1t = rio[WS(vs, 1) + WS(is, 7)]; + T1u = rio[WS(vs, 1) + WS(is, 3)]; + T1v = T1t + T1u; + T1D = T1t - T1u; + T1E = iio[WS(vs, 1) + WS(is, 7)]; + T1F = iio[WS(vs, 1) + WS(is, 3)]; + T1G = T1E - T1F; + T2o = T1E + T1F; + } + T1w = T1s + T1v; + T2p = T2n - T2o; + T2z = T2n + T2o; + T1H = T1D - T1G; + T1M = T1I + T1L; + T1W = T1D + T1G; + T2j = T1v - T1s; + T1V = T1L - T1I; + } + { + E T7N, T8i, T83, T8I, T7Q, T80, T8l, T8J; + { + E T7L, T7M, T81, T82; + T7L = rio[WS(vs, 6)]; + T7M = rio[WS(vs, 6) + WS(is, 4)]; + T7N = T7L + T7M; + T8i = T7L - T7M; + T81 = iio[WS(vs, 6)]; + T82 = iio[WS(vs, 6) + WS(is, 4)]; + T83 = T81 - T82; + T8I = T81 + T82; + } + { + E T7O, T7P, T8j, T8k; + T7O = rio[WS(vs, 6) + WS(is, 2)]; + T7P = rio[WS(vs, 6) + WS(is, 6)]; + T7Q = T7O + T7P; + T80 = T7O - T7P; + T8j = iio[WS(vs, 6) + WS(is, 2)]; + T8k = iio[WS(vs, 6) + WS(is, 6)]; + T8l = T8j - T8k; + T8J = T8j + T8k; + } + T7R = T7N + T7Q; + T8O = T7N - T7Q; + T90 = T8I + T8J; + T84 = T80 + T83; + T8m = T8i - T8l; + T8A = T83 - T80; + T8K = T8I - T8J; + T8w = T8i + T8l; + } + { + E T9c, T9s, T9v, Ta7, T9f, T9n, T9q, Ta8; + { + E T9a, T9b, T9t, T9u; + T9a = rio[WS(vs, 7) + WS(is, 1)]; + T9b = rio[WS(vs, 7) + WS(is, 5)]; + T9c = T9a + T9b; + T9s = T9a - T9b; + T9t = iio[WS(vs, 7) + WS(is, 1)]; + T9u = iio[WS(vs, 7) + WS(is, 5)]; + T9v = T9t - T9u; + Ta7 = T9t + T9u; + } + { + E T9d, T9e, T9o, T9p; + T9d = rio[WS(vs, 7) + WS(is, 7)]; + T9e = rio[WS(vs, 7) + WS(is, 3)]; + T9f = T9d + T9e; + T9n = T9d - T9e; + T9o = iio[WS(vs, 7) + WS(is, 7)]; + T9p = iio[WS(vs, 7) + WS(is, 3)]; + T9q = T9o - T9p; + Ta8 = T9o + T9p; + } + T9g = T9c + T9f; + Ta9 = Ta7 - Ta8; + Taj = Ta7 + Ta8; + T9r = T9n - T9q; + T9w = T9s + T9v; + T9G = T9n + T9q; + Ta3 = T9f - T9c; + T9F = T9v - T9s; + } + { + E Ta, Tq, Tt, T15, Td, Tl, To, T16; + { + E T8, T9, Tr, Ts; + T8 = rio[WS(is, 1)]; + T9 = rio[WS(is, 5)]; + Ta = T8 + T9; + Tq = T8 - T9; + Tr = iio[WS(is, 1)]; + Ts = iio[WS(is, 5)]; + Tt = Tr - Ts; + T15 = Tr + Ts; + } + { + E Tb, Tc, Tm, Tn; + Tb = rio[WS(is, 7)]; + Tc = rio[WS(is, 3)]; + Td = Tb + Tc; + Tl = Tb - Tc; + Tm = iio[WS(is, 7)]; + Tn = iio[WS(is, 3)]; + To = Tm - Tn; + T16 = Tm + Tn; + } + Te = Ta + Td; + T17 = T15 - T16; + T1h = T15 + T16; + Tp = Tl - To; + Tu = Tq + Tt; + TE = Tl + To; + T11 = Td - Ta; + TD = Tt - Tq; + } + { + E T1l, T1Q, T1B, T2g, T1o, T1y, T1T, T2h; + { + E T1j, T1k, T1z, T1A; + T1j = rio[WS(vs, 1)]; + T1k = rio[WS(vs, 1) + WS(is, 4)]; + T1l = T1j + T1k; + T1Q = T1j - T1k; + T1z = iio[WS(vs, 1)]; + T1A = iio[WS(vs, 1) + WS(is, 4)]; + T1B = T1z - T1A; + T2g = T1z + T1A; + } + { + E T1m, T1n, T1R, T1S; + T1m = rio[WS(vs, 1) + WS(is, 2)]; + T1n = rio[WS(vs, 1) + WS(is, 6)]; + T1o = T1m + T1n; + T1y = T1m - T1n; + T1R = iio[WS(vs, 1) + WS(is, 2)]; + T1S = iio[WS(vs, 1) + WS(is, 6)]; + T1T = T1R - T1S; + T2h = T1R + T1S; + } + T1p = T1l + T1o; + T2m = T1l - T1o; + T2y = T2g + T2h; + T1C = T1y + T1B; + T1U = T1Q - T1T; + T28 = T1B - T1y; + T2i = T2g - T2h; + T24 = T1Q + T1T; + } + { + E T7U, T8a, T8d, T8P, T7X, T85, T88, T8Q; + { + E T7S, T7T, T8b, T8c; + T7S = rio[WS(vs, 6) + WS(is, 1)]; + T7T = rio[WS(vs, 6) + WS(is, 5)]; + T7U = T7S + T7T; + T8a = T7S - T7T; + T8b = iio[WS(vs, 6) + WS(is, 1)]; + T8c = iio[WS(vs, 6) + WS(is, 5)]; + T8d = T8b - T8c; + T8P = T8b + T8c; + } + { + E T7V, T7W, T86, T87; + T7V = rio[WS(vs, 6) + WS(is, 7)]; + T7W = rio[WS(vs, 6) + WS(is, 3)]; + T7X = T7V + T7W; + T85 = T7V - T7W; + T86 = iio[WS(vs, 6) + WS(is, 7)]; + T87 = iio[WS(vs, 6) + WS(is, 3)]; + T88 = T86 - T87; + T8Q = T86 + T87; + } + T7Y = T7U + T7X; + T8R = T8P - T8Q; + T91 = T8P + T8Q; + T89 = T85 - T88; + T8e = T8a + T8d; + T8o = T85 + T88; + T8L = T7X - T7U; + T8n = T8d - T8a; + } + { + E T95, T9A, T9l, Ta0, T98, T9i, T9D, Ta1; + { + E T93, T94, T9j, T9k; + T93 = rio[WS(vs, 7)]; + T94 = rio[WS(vs, 7) + WS(is, 4)]; + T95 = T93 + T94; + T9A = T93 - T94; + T9j = iio[WS(vs, 7)]; + T9k = iio[WS(vs, 7) + WS(is, 4)]; + T9l = T9j - T9k; + Ta0 = T9j + T9k; + } + { + E T96, T97, T9B, T9C; + T96 = rio[WS(vs, 7) + WS(is, 2)]; + T97 = rio[WS(vs, 7) + WS(is, 6)]; + T98 = T96 + T97; + T9i = T96 - T97; + T9B = iio[WS(vs, 7) + WS(is, 2)]; + T9C = iio[WS(vs, 7) + WS(is, 6)]; + T9D = T9B - T9C; + Ta1 = T9B + T9C; + } + T99 = T95 + T98; + Ta6 = T95 - T98; + Tai = Ta0 + Ta1; + T9m = T9i + T9l; + T9E = T9A - T9D; + T9S = T9l - T9i; + Ta2 = Ta0 - Ta1; + T9O = T9A + T9D; + } + { + E T2D, T38, T2T, T3y, T2G, T2Q, T3b, T3z; + { + E T2B, T2C, T2R, T2S; + T2B = rio[WS(vs, 2)]; + T2C = rio[WS(vs, 2) + WS(is, 4)]; + T2D = T2B + T2C; + T38 = T2B - T2C; + T2R = iio[WS(vs, 2)]; + T2S = iio[WS(vs, 2) + WS(is, 4)]; + T2T = T2R - T2S; + T3y = T2R + T2S; + } + { + E T2E, T2F, T39, T3a; + T2E = rio[WS(vs, 2) + WS(is, 2)]; + T2F = rio[WS(vs, 2) + WS(is, 6)]; + T2G = T2E + T2F; + T2Q = T2E - T2F; + T39 = iio[WS(vs, 2) + WS(is, 2)]; + T3a = iio[WS(vs, 2) + WS(is, 6)]; + T3b = T39 - T3a; + T3z = T39 + T3a; + } + T2H = T2D + T2G; + T3E = T2D - T2G; + T3Q = T3y + T3z; + T2U = T2Q + T2T; + T3c = T38 - T3b; + T3q = T2T - T2Q; + T3A = T3y - T3z; + T3m = T38 + T3b; + } + { + E T42, T4i, T4l, T4X, T45, T4d, T4g, T4Y; + { + E T40, T41, T4j, T4k; + T40 = rio[WS(vs, 3) + WS(is, 1)]; + T41 = rio[WS(vs, 3) + WS(is, 5)]; + T42 = T40 + T41; + T4i = T40 - T41; + T4j = iio[WS(vs, 3) + WS(is, 1)]; + T4k = iio[WS(vs, 3) + WS(is, 5)]; + T4l = T4j - T4k; + T4X = T4j + T4k; + } + { + E T43, T44, T4e, T4f; + T43 = rio[WS(vs, 3) + WS(is, 7)]; + T44 = rio[WS(vs, 3) + WS(is, 3)]; + T45 = T43 + T44; + T4d = T43 - T44; + T4e = iio[WS(vs, 3) + WS(is, 7)]; + T4f = iio[WS(vs, 3) + WS(is, 3)]; + T4g = T4e - T4f; + T4Y = T4e + T4f; + } + T46 = T42 + T45; + T4Z = T4X - T4Y; + T59 = T4X + T4Y; + T4h = T4d - T4g; + T4m = T4i + T4l; + T4w = T4d + T4g; + T4T = T45 - T42; + T4v = T4l - T4i; + } + { + E T5d, T5I, T5t, T68, T5g, T5q, T5L, T69; + { + E T5b, T5c, T5r, T5s; + T5b = rio[WS(vs, 4)]; + T5c = rio[WS(vs, 4) + WS(is, 4)]; + T5d = T5b + T5c; + T5I = T5b - T5c; + T5r = iio[WS(vs, 4)]; + T5s = iio[WS(vs, 4) + WS(is, 4)]; + T5t = T5r - T5s; + T68 = T5r + T5s; + } + { + E T5e, T5f, T5J, T5K; + T5e = rio[WS(vs, 4) + WS(is, 2)]; + T5f = rio[WS(vs, 4) + WS(is, 6)]; + T5g = T5e + T5f; + T5q = T5e - T5f; + T5J = iio[WS(vs, 4) + WS(is, 2)]; + T5K = iio[WS(vs, 4) + WS(is, 6)]; + T5L = T5J - T5K; + T69 = T5J + T5K; + } + T5h = T5d + T5g; + T6e = T5d - T5g; + T6q = T68 + T69; + T5u = T5q + T5t; + T5M = T5I - T5L; + T60 = T5t - T5q; + T6a = T68 - T69; + T5W = T5I + T5L; + } + { + E T6C, T6S, T6V, T7x, T6F, T6N, T6Q, T7y; + { + E T6A, T6B, T6T, T6U; + T6A = rio[WS(vs, 5) + WS(is, 1)]; + T6B = rio[WS(vs, 5) + WS(is, 5)]; + T6C = T6A + T6B; + T6S = T6A - T6B; + T6T = iio[WS(vs, 5) + WS(is, 1)]; + T6U = iio[WS(vs, 5) + WS(is, 5)]; + T6V = T6T - T6U; + T7x = T6T + T6U; + } + { + E T6D, T6E, T6O, T6P; + T6D = rio[WS(vs, 5) + WS(is, 7)]; + T6E = rio[WS(vs, 5) + WS(is, 3)]; + T6F = T6D + T6E; + T6N = T6D - T6E; + T6O = iio[WS(vs, 5) + WS(is, 7)]; + T6P = iio[WS(vs, 5) + WS(is, 3)]; + T6Q = T6O - T6P; + T7y = T6O + T6P; + } + T6G = T6C + T6F; + T7z = T7x - T7y; + T7J = T7x + T7y; + T6R = T6N - T6Q; + T6W = T6S + T6V; + T76 = T6N + T6Q; + T7t = T6F - T6C; + T75 = T6V - T6S; + } + { + E T2K, T30, T33, T3F, T2N, T2V, T2Y, T3G; + { + E T2I, T2J, T31, T32; + T2I = rio[WS(vs, 2) + WS(is, 1)]; + T2J = rio[WS(vs, 2) + WS(is, 5)]; + T2K = T2I + T2J; + T30 = T2I - T2J; + T31 = iio[WS(vs, 2) + WS(is, 1)]; + T32 = iio[WS(vs, 2) + WS(is, 5)]; + T33 = T31 - T32; + T3F = T31 + T32; + } + { + E T2L, T2M, T2W, T2X; + T2L = rio[WS(vs, 2) + WS(is, 7)]; + T2M = rio[WS(vs, 2) + WS(is, 3)]; + T2N = T2L + T2M; + T2V = T2L - T2M; + T2W = iio[WS(vs, 2) + WS(is, 7)]; + T2X = iio[WS(vs, 2) + WS(is, 3)]; + T2Y = T2W - T2X; + T3G = T2W + T2X; + } + T2O = T2K + T2N; + T3H = T3F - T3G; + T3R = T3F + T3G; + T2Z = T2V - T2Y; + T34 = T30 + T33; + T3e = T2V + T2Y; + T3B = T2N - T2K; + T3d = T33 - T30; + } + { + E T3V, T4q, T4b, T4Q, T3Y, T48, T4t, T4R; + { + E T3T, T3U, T49, T4a; + T3T = rio[WS(vs, 3)]; + T3U = rio[WS(vs, 3) + WS(is, 4)]; + T3V = T3T + T3U; + T4q = T3T - T3U; + T49 = iio[WS(vs, 3)]; + T4a = iio[WS(vs, 3) + WS(is, 4)]; + T4b = T49 - T4a; + T4Q = T49 + T4a; + } + { + E T3W, T3X, T4r, T4s; + T3W = rio[WS(vs, 3) + WS(is, 2)]; + T3X = rio[WS(vs, 3) + WS(is, 6)]; + T3Y = T3W + T3X; + T48 = T3W - T3X; + T4r = iio[WS(vs, 3) + WS(is, 2)]; + T4s = iio[WS(vs, 3) + WS(is, 6)]; + T4t = T4r - T4s; + T4R = T4r + T4s; + } + T3Z = T3V + T3Y; + T4W = T3V - T3Y; + T58 = T4Q + T4R; + T4c = T48 + T4b; + T4u = T4q - T4t; + T4I = T4b - T48; + T4S = T4Q - T4R; + T4E = T4q + T4t; + } + { + E T5k, T5A, T5D, T6f, T5n, T5v, T5y, T6g; + { + E T5i, T5j, T5B, T5C; + T5i = rio[WS(vs, 4) + WS(is, 1)]; + T5j = rio[WS(vs, 4) + WS(is, 5)]; + T5k = T5i + T5j; + T5A = T5i - T5j; + T5B = iio[WS(vs, 4) + WS(is, 1)]; + T5C = iio[WS(vs, 4) + WS(is, 5)]; + T5D = T5B - T5C; + T6f = T5B + T5C; + } + { + E T5l, T5m, T5w, T5x; + T5l = rio[WS(vs, 4) + WS(is, 7)]; + T5m = rio[WS(vs, 4) + WS(is, 3)]; + T5n = T5l + T5m; + T5v = T5l - T5m; + T5w = iio[WS(vs, 4) + WS(is, 7)]; + T5x = iio[WS(vs, 4) + WS(is, 3)]; + T5y = T5w - T5x; + T6g = T5w + T5x; + } + T5o = T5k + T5n; + T6h = T6f - T6g; + T6r = T6f + T6g; + T5z = T5v - T5y; + T5E = T5A + T5D; + T5O = T5v + T5y; + T6b = T5n - T5k; + T5N = T5D - T5A; + } + { + E T6v, T70, T6L, T7q, T6y, T6I, T73, T7r; + { + E T6t, T6u, T6J, T6K; + T6t = rio[WS(vs, 5)]; + T6u = rio[WS(vs, 5) + WS(is, 4)]; + T6v = T6t + T6u; + T70 = T6t - T6u; + T6J = iio[WS(vs, 5)]; + T6K = iio[WS(vs, 5) + WS(is, 4)]; + T6L = T6J - T6K; + T7q = T6J + T6K; + } + { + E T6w, T6x, T71, T72; + T6w = rio[WS(vs, 5) + WS(is, 2)]; + T6x = rio[WS(vs, 5) + WS(is, 6)]; + T6y = T6w + T6x; + T6I = T6w - T6x; + T71 = iio[WS(vs, 5) + WS(is, 2)]; + T72 = iio[WS(vs, 5) + WS(is, 6)]; + T73 = T71 - T72; + T7r = T71 + T72; + } + T6z = T6v + T6y; + T7w = T6v - T6y; + T7I = T7q + T7r; + T6M = T6I + T6L; + T74 = T70 - T73; + T7i = T6L - T6I; + T7s = T7q - T7r; + T7e = T70 + T73; + } + rio[0] = T7 + Te; + iio[0] = T1g + T1h; + rio[WS(is, 1)] = T1p + T1w; + iio[WS(is, 1)] = T2y + T2z; + rio[WS(is, 3)] = T3Z + T46; + rio[WS(is, 2)] = T2H + T2O; + iio[WS(is, 2)] = T3Q + T3R; + iio[WS(is, 3)] = T58 + T59; + rio[WS(is, 6)] = T7R + T7Y; + iio[WS(is, 6)] = T90 + T91; + iio[WS(is, 5)] = T7I + T7J; + rio[WS(is, 5)] = T6z + T6G; + iio[WS(is, 4)] = T6q + T6r; + rio[WS(is, 4)] = T5h + T5o; + rio[WS(is, 7)] = T99 + T9g; + iio[WS(is, 7)] = Tai + Taj; + { + E T12, T18, TX, T13; + T12 = T10 - T11; + T18 = T14 - T17; + TX = W[10]; + T13 = W[11]; + iio[WS(vs, 6)] = FNMS(T13, T18, TX * T12); + rio[WS(vs, 6)] = FMA(T13, T12, TX * T18); + } + { + E Tag, Tak, Taf, Tah; + Tag = T99 - T9g; + Tak = Tai - Taj; + Taf = W[6]; + Tah = W[7]; + rio[WS(vs, 4) + WS(is, 7)] = FMA(Taf, Tag, Tah * Tak); + iio[WS(vs, 4) + WS(is, 7)] = FNMS(Tah, Tag, Taf * Tak); + } + { + E T8M, T8S, T8H, T8N; + T8M = T8K - T8L; + T8S = T8O - T8R; + T8H = W[10]; + T8N = W[11]; + iio[WS(vs, 6) + WS(is, 6)] = FNMS(T8N, T8S, T8H * T8M); + rio[WS(vs, 6) + WS(is, 6)] = FMA(T8N, T8M, T8H * T8S); + } + { + E T2k, T2q, T2f, T2l; + T2k = T2i - T2j; + T2q = T2m - T2p; + T2f = W[10]; + T2l = W[11]; + iio[WS(vs, 6) + WS(is, 1)] = FNMS(T2l, T2q, T2f * T2k); + rio[WS(vs, 6) + WS(is, 1)] = FMA(T2l, T2k, T2f * T2q); + } + { + E Ta4, Taa, T9Z, Ta5; + Ta4 = Ta2 - Ta3; + Taa = Ta6 - Ta9; + T9Z = W[10]; + Ta5 = W[11]; + iio[WS(vs, 6) + WS(is, 7)] = FNMS(Ta5, Taa, T9Z * Ta4); + rio[WS(vs, 6) + WS(is, 7)] = FMA(Ta5, Ta4, T9Z * Taa); + } + { + E T8Y, T92, T8X, T8Z; + T8Y = T7R - T7Y; + T92 = T90 - T91; + T8X = W[6]; + T8Z = W[7]; + rio[WS(vs, 4) + WS(is, 6)] = FMA(T8X, T8Y, T8Z * T92); + iio[WS(vs, 4) + WS(is, 6)] = FNMS(T8Z, T8Y, T8X * T92); + } + { + E T2w, T2A, T2v, T2x; + T2w = T1p - T1w; + T2A = T2y - T2z; + T2v = W[6]; + T2x = W[7]; + rio[WS(vs, 4) + WS(is, 1)] = FMA(T2v, T2w, T2x * T2A); + iio[WS(vs, 4) + WS(is, 1)] = FNMS(T2x, T2w, T2v * T2A); + } + { + E Tac, Tae, Tab, Tad; + Tac = Ta3 + Ta2; + Tae = Ta6 + Ta9; + Tab = W[2]; + Tad = W[3]; + iio[WS(vs, 2) + WS(is, 7)] = FNMS(Tad, Tae, Tab * Tac); + rio[WS(vs, 2) + WS(is, 7)] = FMA(Tad, Tac, Tab * Tae); + } + { + E T8U, T8W, T8T, T8V; + T8U = T8L + T8K; + T8W = T8O + T8R; + T8T = W[2]; + T8V = W[3]; + iio[WS(vs, 2) + WS(is, 6)] = FNMS(T8V, T8W, T8T * T8U); + rio[WS(vs, 2) + WS(is, 6)] = FMA(T8V, T8U, T8T * T8W); + } + { + E T1a, T1c, T19, T1b; + T1a = T11 + T10; + T1c = T14 + T17; + T19 = W[2]; + T1b = W[3]; + iio[WS(vs, 2)] = FNMS(T1b, T1c, T19 * T1a); + rio[WS(vs, 2)] = FMA(T1b, T1a, T19 * T1c); + } + { + E T1e, T1i, T1d, T1f; + T1e = T7 - Te; + T1i = T1g - T1h; + T1d = W[6]; + T1f = W[7]; + rio[WS(vs, 4)] = FMA(T1d, T1e, T1f * T1i); + iio[WS(vs, 4)] = FNMS(T1f, T1e, T1d * T1i); + } + { + E T2s, T2u, T2r, T2t; + T2s = T2j + T2i; + T2u = T2m + T2p; + T2r = W[2]; + T2t = W[3]; + iio[WS(vs, 2) + WS(is, 1)] = FNMS(T2t, T2u, T2r * T2s); + rio[WS(vs, 2) + WS(is, 1)] = FMA(T2t, T2s, T2r * T2u); + } + { + E T3C, T3I, T3x, T3D; + T3C = T3A - T3B; + T3I = T3E - T3H; + T3x = W[10]; + T3D = W[11]; + iio[WS(vs, 6) + WS(is, 2)] = FNMS(T3D, T3I, T3x * T3C); + rio[WS(vs, 6) + WS(is, 2)] = FMA(T3D, T3C, T3x * T3I); + } + { + E T4U, T50, T4P, T4V; + T4U = T4S - T4T; + T50 = T4W - T4Z; + T4P = W[10]; + T4V = W[11]; + iio[WS(vs, 6) + WS(is, 3)] = FNMS(T4V, T50, T4P * T4U); + rio[WS(vs, 6) + WS(is, 3)] = FMA(T4V, T4U, T4P * T50); + } + { + E T56, T5a, T55, T57; + T56 = T3Z - T46; + T5a = T58 - T59; + T55 = W[6]; + T57 = W[7]; + rio[WS(vs, 4) + WS(is, 3)] = FMA(T55, T56, T57 * T5a); + iio[WS(vs, 4) + WS(is, 3)] = FNMS(T57, T56, T55 * T5a); + } + { + E T6o, T6s, T6n, T6p; + T6o = T5h - T5o; + T6s = T6q - T6r; + T6n = W[6]; + T6p = W[7]; + rio[WS(vs, 4) + WS(is, 4)] = FMA(T6n, T6o, T6p * T6s); + iio[WS(vs, 4) + WS(is, 4)] = FNMS(T6p, T6o, T6n * T6s); + } + { + E T7u, T7A, T7p, T7v; + T7u = T7s - T7t; + T7A = T7w - T7z; + T7p = W[10]; + T7v = W[11]; + iio[WS(vs, 6) + WS(is, 5)] = FNMS(T7v, T7A, T7p * T7u); + rio[WS(vs, 6) + WS(is, 5)] = FMA(T7v, T7u, T7p * T7A); + } + { + E T6c, T6i, T67, T6d; + T6c = T6a - T6b; + T6i = T6e - T6h; + T67 = W[10]; + T6d = W[11]; + iio[WS(vs, 6) + WS(is, 4)] = FNMS(T6d, T6i, T67 * T6c); + rio[WS(vs, 6) + WS(is, 4)] = FMA(T6d, T6c, T67 * T6i); + } + { + E T7G, T7K, T7F, T7H; + T7G = T6z - T6G; + T7K = T7I - T7J; + T7F = W[6]; + T7H = W[7]; + rio[WS(vs, 4) + WS(is, 5)] = FMA(T7F, T7G, T7H * T7K); + iio[WS(vs, 4) + WS(is, 5)] = FNMS(T7H, T7G, T7F * T7K); + } + { + E T3O, T3S, T3N, T3P; + T3O = T2H - T2O; + T3S = T3Q - T3R; + T3N = W[6]; + T3P = W[7]; + rio[WS(vs, 4) + WS(is, 2)] = FMA(T3N, T3O, T3P * T3S); + iio[WS(vs, 4) + WS(is, 2)] = FNMS(T3P, T3O, T3N * T3S); + } + { + E T3K, T3M, T3J, T3L; + T3K = T3B + T3A; + T3M = T3E + T3H; + T3J = W[2]; + T3L = W[3]; + iio[WS(vs, 2) + WS(is, 2)] = FNMS(T3L, T3M, T3J * T3K); + rio[WS(vs, 2) + WS(is, 2)] = FMA(T3L, T3K, T3J * T3M); + } + { + E T7C, T7E, T7B, T7D; + T7C = T7t + T7s; + T7E = T7w + T7z; + T7B = W[2]; + T7D = W[3]; + iio[WS(vs, 2) + WS(is, 5)] = FNMS(T7D, T7E, T7B * T7C); + rio[WS(vs, 2) + WS(is, 5)] = FMA(T7D, T7C, T7B * T7E); + } + { + E T6k, T6m, T6j, T6l; + T6k = T6b + T6a; + T6m = T6e + T6h; + T6j = W[2]; + T6l = W[3]; + iio[WS(vs, 2) + WS(is, 4)] = FNMS(T6l, T6m, T6j * T6k); + rio[WS(vs, 2) + WS(is, 4)] = FMA(T6l, T6k, T6j * T6m); + } + { + E T52, T54, T51, T53; + T52 = T4T + T4S; + T54 = T4W + T4Z; + T51 = W[2]; + T53 = W[3]; + iio[WS(vs, 2) + WS(is, 3)] = FNMS(T53, T54, T51 * T52); + rio[WS(vs, 2) + WS(is, 3)] = FMA(T53, T52, T51 * T54); + } + { + E T5G, T5S, T5Q, T5U, T5F, T5P; + T5F = KP707106781 * (T5z - T5E); + T5G = T5u - T5F; + T5S = T5u + T5F; + T5P = KP707106781 * (T5N - T5O); + T5Q = T5M - T5P; + T5U = T5M + T5P; + { + E T5p, T5H, T5R, T5T; + T5p = W[12]; + T5H = W[13]; + iio[WS(vs, 7) + WS(is, 4)] = FNMS(T5H, T5Q, T5p * T5G); + rio[WS(vs, 7) + WS(is, 4)] = FMA(T5H, T5G, T5p * T5Q); + T5R = W[4]; + T5T = W[5]; + iio[WS(vs, 3) + WS(is, 4)] = FNMS(T5T, T5U, T5R * T5S); + rio[WS(vs, 3) + WS(is, 4)] = FMA(T5T, T5S, T5R * T5U); + } + } + { + E Tw, TI, TG, TK, Tv, TF; + Tv = KP707106781 * (Tp - Tu); + Tw = Tk - Tv; + TI = Tk + Tv; + TF = KP707106781 * (TD - TE); + TG = TC - TF; + TK = TC + TF; + { + E Tf, Tx, TH, TJ; + Tf = W[12]; + Tx = W[13]; + iio[WS(vs, 7)] = FNMS(Tx, TG, Tf * Tw); + rio[WS(vs, 7)] = FMA(Tx, Tw, Tf * TG); + TH = W[4]; + TJ = W[5]; + iio[WS(vs, 3)] = FNMS(TJ, TK, TH * TI); + rio[WS(vs, 3)] = FMA(TJ, TI, TH * TK); + } + } + { + E T9Q, T9W, T9U, T9Y, T9P, T9T; + T9P = KP707106781 * (T9w + T9r); + T9Q = T9O - T9P; + T9W = T9O + T9P; + T9T = KP707106781 * (T9F + T9G); + T9U = T9S - T9T; + T9Y = T9S + T9T; + { + E T9N, T9R, T9V, T9X; + T9N = W[8]; + T9R = W[9]; + rio[WS(vs, 5) + WS(is, 7)] = FMA(T9N, T9Q, T9R * T9U); + iio[WS(vs, 5) + WS(is, 7)] = FNMS(T9R, T9Q, T9N * T9U); + T9V = W[0]; + T9X = W[1]; + rio[WS(vs, 1) + WS(is, 7)] = FMA(T9V, T9W, T9X * T9Y); + iio[WS(vs, 1) + WS(is, 7)] = FNMS(T9X, T9W, T9V * T9Y); + } + } + { + E T36, T3i, T3g, T3k, T35, T3f; + T35 = KP707106781 * (T2Z - T34); + T36 = T2U - T35; + T3i = T2U + T35; + T3f = KP707106781 * (T3d - T3e); + T3g = T3c - T3f; + T3k = T3c + T3f; + { + E T2P, T37, T3h, T3j; + T2P = W[12]; + T37 = W[13]; + iio[WS(vs, 7) + WS(is, 2)] = FNMS(T37, T3g, T2P * T36); + rio[WS(vs, 7) + WS(is, 2)] = FMA(T37, T36, T2P * T3g); + T3h = W[4]; + T3j = W[5]; + iio[WS(vs, 3) + WS(is, 2)] = FNMS(T3j, T3k, T3h * T3i); + rio[WS(vs, 3) + WS(is, 2)] = FMA(T3j, T3i, T3h * T3k); + } + } + { + E T5Y, T64, T62, T66, T5X, T61; + T5X = KP707106781 * (T5E + T5z); + T5Y = T5W - T5X; + T64 = T5W + T5X; + T61 = KP707106781 * (T5N + T5O); + T62 = T60 - T61; + T66 = T60 + T61; + { + E T5V, T5Z, T63, T65; + T5V = W[8]; + T5Z = W[9]; + rio[WS(vs, 5) + WS(is, 4)] = FMA(T5V, T5Y, T5Z * T62); + iio[WS(vs, 5) + WS(is, 4)] = FNMS(T5Z, T5Y, T5V * T62); + T63 = W[0]; + T65 = W[1]; + rio[WS(vs, 1) + WS(is, 4)] = FMA(T63, T64, T65 * T66); + iio[WS(vs, 1) + WS(is, 4)] = FNMS(T65, T64, T63 * T66); + } + } + { + E T7g, T7m, T7k, T7o, T7f, T7j; + T7f = KP707106781 * (T6W + T6R); + T7g = T7e - T7f; + T7m = T7e + T7f; + T7j = KP707106781 * (T75 + T76); + T7k = T7i - T7j; + T7o = T7i + T7j; + { + E T7d, T7h, T7l, T7n; + T7d = W[8]; + T7h = W[9]; + rio[WS(vs, 5) + WS(is, 5)] = FMA(T7d, T7g, T7h * T7k); + iio[WS(vs, 5) + WS(is, 5)] = FNMS(T7h, T7g, T7d * T7k); + T7l = W[0]; + T7n = W[1]; + rio[WS(vs, 1) + WS(is, 5)] = FMA(T7l, T7m, T7n * T7o); + iio[WS(vs, 1) + WS(is, 5)] = FNMS(T7n, T7m, T7l * T7o); + } + } + { + E T8g, T8s, T8q, T8u, T8f, T8p; + T8f = KP707106781 * (T89 - T8e); + T8g = T84 - T8f; + T8s = T84 + T8f; + T8p = KP707106781 * (T8n - T8o); + T8q = T8m - T8p; + T8u = T8m + T8p; + { + E T7Z, T8h, T8r, T8t; + T7Z = W[12]; + T8h = W[13]; + iio[WS(vs, 7) + WS(is, 6)] = FNMS(T8h, T8q, T7Z * T8g); + rio[WS(vs, 7) + WS(is, 6)] = FMA(T8h, T8g, T7Z * T8q); + T8r = W[4]; + T8t = W[5]; + iio[WS(vs, 3) + WS(is, 6)] = FNMS(T8t, T8u, T8r * T8s); + rio[WS(vs, 3) + WS(is, 6)] = FMA(T8t, T8s, T8r * T8u); + } + } + { + E T4G, T4M, T4K, T4O, T4F, T4J; + T4F = KP707106781 * (T4m + T4h); + T4G = T4E - T4F; + T4M = T4E + T4F; + T4J = KP707106781 * (T4v + T4w); + T4K = T4I - T4J; + T4O = T4I + T4J; + { + E T4D, T4H, T4L, T4N; + T4D = W[8]; + T4H = W[9]; + rio[WS(vs, 5) + WS(is, 3)] = FMA(T4D, T4G, T4H * T4K); + iio[WS(vs, 5) + WS(is, 3)] = FNMS(T4H, T4G, T4D * T4K); + T4L = W[0]; + T4N = W[1]; + rio[WS(vs, 1) + WS(is, 3)] = FMA(T4L, T4M, T4N * T4O); + iio[WS(vs, 1) + WS(is, 3)] = FNMS(T4N, T4M, T4L * T4O); + } + } + { + E TO, TU, TS, TW, TN, TR; + TN = KP707106781 * (Tu + Tp); + TO = TM - TN; + TU = TM + TN; + TR = KP707106781 * (TD + TE); + TS = TQ - TR; + TW = TQ + TR; + { + E TL, TP, TT, TV; + TL = W[8]; + TP = W[9]; + rio[WS(vs, 5)] = FMA(TL, TO, TP * TS); + iio[WS(vs, 5)] = FNMS(TP, TO, TL * TS); + TT = W[0]; + TV = W[1]; + rio[WS(vs, 1)] = FMA(TT, TU, TV * TW); + iio[WS(vs, 1)] = FNMS(TV, TU, TT * TW); + } + } + { + E T26, T2c, T2a, T2e, T25, T29; + T25 = KP707106781 * (T1M + T1H); + T26 = T24 - T25; + T2c = T24 + T25; + T29 = KP707106781 * (T1V + T1W); + T2a = T28 - T29; + T2e = T28 + T29; + { + E T23, T27, T2b, T2d; + T23 = W[8]; + T27 = W[9]; + rio[WS(vs, 5) + WS(is, 1)] = FMA(T23, T26, T27 * T2a); + iio[WS(vs, 5) + WS(is, 1)] = FNMS(T27, T26, T23 * T2a); + T2b = W[0]; + T2d = W[1]; + rio[WS(vs, 1) + WS(is, 1)] = FMA(T2b, T2c, T2d * T2e); + iio[WS(vs, 1) + WS(is, 1)] = FNMS(T2d, T2c, T2b * T2e); + } + } + { + E T9y, T9K, T9I, T9M, T9x, T9H; + T9x = KP707106781 * (T9r - T9w); + T9y = T9m - T9x; + T9K = T9m + T9x; + T9H = KP707106781 * (T9F - T9G); + T9I = T9E - T9H; + T9M = T9E + T9H; + { + E T9h, T9z, T9J, T9L; + T9h = W[12]; + T9z = W[13]; + iio[WS(vs, 7) + WS(is, 7)] = FNMS(T9z, T9I, T9h * T9y); + rio[WS(vs, 7) + WS(is, 7)] = FMA(T9z, T9y, T9h * T9I); + T9J = W[4]; + T9L = W[5]; + iio[WS(vs, 3) + WS(is, 7)] = FNMS(T9L, T9M, T9J * T9K); + rio[WS(vs, 3) + WS(is, 7)] = FMA(T9L, T9K, T9J * T9M); + } + } + { + E T6Y, T7a, T78, T7c, T6X, T77; + T6X = KP707106781 * (T6R - T6W); + T6Y = T6M - T6X; + T7a = T6M + T6X; + T77 = KP707106781 * (T75 - T76); + T78 = T74 - T77; + T7c = T74 + T77; + { + E T6H, T6Z, T79, T7b; + T6H = W[12]; + T6Z = W[13]; + iio[WS(vs, 7) + WS(is, 5)] = FNMS(T6Z, T78, T6H * T6Y); + rio[WS(vs, 7) + WS(is, 5)] = FMA(T6Z, T6Y, T6H * T78); + T79 = W[4]; + T7b = W[5]; + iio[WS(vs, 3) + WS(is, 5)] = FNMS(T7b, T7c, T79 * T7a); + rio[WS(vs, 3) + WS(is, 5)] = FMA(T7b, T7a, T79 * T7c); + } + } + { + E T1O, T20, T1Y, T22, T1N, T1X; + T1N = KP707106781 * (T1H - T1M); + T1O = T1C - T1N; + T20 = T1C + T1N; + T1X = KP707106781 * (T1V - T1W); + T1Y = T1U - T1X; + T22 = T1U + T1X; + { + E T1x, T1P, T1Z, T21; + T1x = W[12]; + T1P = W[13]; + iio[WS(vs, 7) + WS(is, 1)] = FNMS(T1P, T1Y, T1x * T1O); + rio[WS(vs, 7) + WS(is, 1)] = FMA(T1P, T1O, T1x * T1Y); + T1Z = W[4]; + T21 = W[5]; + iio[WS(vs, 3) + WS(is, 1)] = FNMS(T21, T22, T1Z * T20); + rio[WS(vs, 3) + WS(is, 1)] = FMA(T21, T20, T1Z * T22); + } + } + { + E T4o, T4A, T4y, T4C, T4n, T4x; + T4n = KP707106781 * (T4h - T4m); + T4o = T4c - T4n; + T4A = T4c + T4n; + T4x = KP707106781 * (T4v - T4w); + T4y = T4u - T4x; + T4C = T4u + T4x; + { + E T47, T4p, T4z, T4B; + T47 = W[12]; + T4p = W[13]; + iio[WS(vs, 7) + WS(is, 3)] = FNMS(T4p, T4y, T47 * T4o); + rio[WS(vs, 7) + WS(is, 3)] = FMA(T4p, T4o, T47 * T4y); + T4z = W[4]; + T4B = W[5]; + iio[WS(vs, 3) + WS(is, 3)] = FNMS(T4B, T4C, T4z * T4A); + rio[WS(vs, 3) + WS(is, 3)] = FMA(T4B, T4A, T4z * T4C); + } + } + { + E T3o, T3u, T3s, T3w, T3n, T3r; + T3n = KP707106781 * (T34 + T2Z); + T3o = T3m - T3n; + T3u = T3m + T3n; + T3r = KP707106781 * (T3d + T3e); + T3s = T3q - T3r; + T3w = T3q + T3r; + { + E T3l, T3p, T3t, T3v; + T3l = W[8]; + T3p = W[9]; + rio[WS(vs, 5) + WS(is, 2)] = FMA(T3l, T3o, T3p * T3s); + iio[WS(vs, 5) + WS(is, 2)] = FNMS(T3p, T3o, T3l * T3s); + T3t = W[0]; + T3v = W[1]; + rio[WS(vs, 1) + WS(is, 2)] = FMA(T3t, T3u, T3v * T3w); + iio[WS(vs, 1) + WS(is, 2)] = FNMS(T3v, T3u, T3t * T3w); + } + } + { + E T8y, T8E, T8C, T8G, T8x, T8B; + T8x = KP707106781 * (T8e + T89); + T8y = T8w - T8x; + T8E = T8w + T8x; + T8B = KP707106781 * (T8n + T8o); + T8C = T8A - T8B; + T8G = T8A + T8B; + { + E T8v, T8z, T8D, T8F; + T8v = W[8]; + T8z = W[9]; + rio[WS(vs, 5) + WS(is, 6)] = FMA(T8v, T8y, T8z * T8C); + iio[WS(vs, 5) + WS(is, 6)] = FNMS(T8z, T8y, T8v * T8C); + T8D = W[0]; + T8F = W[1]; + rio[WS(vs, 1) + WS(is, 6)] = FMA(T8D, T8E, T8F * T8G); + iio[WS(vs, 1) + WS(is, 6)] = FNMS(T8F, T8E, T8D * T8G); + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 8}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 8, "q1_8", twinstr, {416, 144, 112, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_q1_8) (planner *p) { + X(kdft_difsq_register) (p, q1_8, &desc); +} diff --git a/src/fftw3/dft/codelets/n.c b/src/fftw3/dft/codelets/n.c new file mode 100644 index 0000000..22f0528 --- /dev/null +++ b/src/fftw3/dft/codelets/n.c @@ -0,0 +1,39 @@ +/* + * 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-dft.h" +#include "n.h" + +static int okp(const kdft_desc *d, + const R *ri, const R *ii, + const R *ro, const R *io, + int is, int os, int vl, int ivs, int ovs, + const planner *plnr) +{ + UNUSED(ri); UNUSED(ii); UNUSED(ro); UNUSED(io); UNUSED(vl); UNUSED(plnr); + return (1 + && (!d->is || (d->is == is)) + && (!d->os || (d->os == os)) + && (!d->ivs || (d->ivs == ivs)) + && (!d->ovs || (d->ovs == ovs)) + ); +} + +const kdft_genus GENUS = { okp, 1 }; diff --git a/src/fftw3/dft/codelets/n.h b/src/fftw3/dft/codelets/n.h new file mode 100644 index 0000000..249c1c9 --- /dev/null +++ b/src/fftw3/dft/codelets/n.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(dft_n_genus) +extern const kdft_genus GENUS; diff --git a/src/fftw3/dft/codelets/q.h b/src/fftw3/dft/codelets/q.h new file mode 100644 index 0000000..6a9dd0b --- /dev/null +++ b/src/fftw3/dft/codelets/q.h @@ -0,0 +1 @@ +#include "t.h" /* same stuff, no need to duplicate */ diff --git a/src/fftw3/dft/codelets/standard/m1_16.c b/src/fftw3/dft/codelets/standard/m1_16.c new file mode 100644 index 0000000..9882bce --- /dev/null +++ b/src/fftw3/dft/codelets/standard/m1_16.c @@ -0,0 +1,305 @@ +/* + * 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 21:29:37 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw_noinline -compact -variables 4 -n 16 -name m1_16 -include n.h */ + +/* + * This function contains 144 FP additions, 24 FP multiplications, + * (or, 136 additions, 16 multiplications, 8 fused multiply/add), + * 49 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: m1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: m1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: m1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void m1_16_0(const R *ri, const R *ii, R *ro, R *io, stride is, stride os) +{ + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T7, T1R, T25, TC, TN, T1x, T1H, T1l, Tt, T22, T2h, T1b, T1g, T1E, T1Z; + E T1D, Te, T1S, T26, TJ, TQ, T1m, T1n, TT, Tm, T1X, T2g, T10, T15, T1B; + E T1U, T1A; + { + E T3, TL, Ty, T1k, T6, T1j, TB, TM; + { + E T1, T2, Tw, Tx; + T1 = ri[0]; + T2 = ri[WS(is, 8)]; + T3 = T1 + T2; + TL = T1 - T2; + Tw = ii[0]; + Tx = ii[WS(is, 8)]; + Ty = Tw + Tx; + T1k = Tw - Tx; + } + { + E T4, T5, Tz, TA; + T4 = ri[WS(is, 4)]; + T5 = ri[WS(is, 12)]; + T6 = T4 + T5; + T1j = T4 - T5; + Tz = ii[WS(is, 4)]; + TA = ii[WS(is, 12)]; + TB = Tz + TA; + TM = Tz - TA; + } + T7 = T3 + T6; + T1R = T3 - T6; + T25 = Ty - TB; + TC = Ty + TB; + TN = TL - TM; + T1x = TL + TM; + T1H = T1k - T1j; + T1l = T1j + T1k; + } + { + E Tp, T17, T1f, T20, Ts, T1c, T1a, T21; + { + E Tn, To, T1d, T1e; + Tn = ri[WS(is, 15)]; + To = ri[WS(is, 7)]; + Tp = Tn + To; + T17 = Tn - To; + T1d = ii[WS(is, 15)]; + T1e = ii[WS(is, 7)]; + T1f = T1d - T1e; + T20 = T1d + T1e; + } + { + E Tq, Tr, T18, T19; + Tq = ri[WS(is, 3)]; + Tr = ri[WS(is, 11)]; + Ts = Tq + Tr; + T1c = Tq - Tr; + T18 = ii[WS(is, 3)]; + T19 = ii[WS(is, 11)]; + T1a = T18 - T19; + T21 = T18 + T19; + } + Tt = Tp + Ts; + T22 = T20 - T21; + T2h = T20 + T21; + T1b = T17 - T1a; + T1g = T1c + T1f; + T1E = T1f - T1c; + T1Z = Tp - Ts; + T1D = T17 + T1a; + } + { + E Ta, TP, TF, TO, Td, TR, TI, TS; + { + E T8, T9, TD, TE; + T8 = ri[WS(is, 2)]; + T9 = ri[WS(is, 10)]; + Ta = T8 + T9; + TP = T8 - T9; + TD = ii[WS(is, 2)]; + TE = ii[WS(is, 10)]; + TF = TD + TE; + TO = TD - TE; + } + { + E Tb, Tc, TG, TH; + Tb = ri[WS(is, 14)]; + Tc = ri[WS(is, 6)]; + Td = Tb + Tc; + TR = Tb - Tc; + TG = ii[WS(is, 14)]; + TH = ii[WS(is, 6)]; + TI = TG + TH; + TS = TG - TH; + } + Te = Ta + Td; + T1S = TF - TI; + T26 = Td - Ta; + TJ = TF + TI; + TQ = TO - TP; + T1m = TR - TS; + T1n = TP + TO; + TT = TR + TS; + } + { + E Ti, T11, TZ, T1V, Tl, TW, T14, T1W; + { + E Tg, Th, TX, TY; + Tg = ri[WS(is, 1)]; + Th = ri[WS(is, 9)]; + Ti = Tg + Th; + T11 = Tg - Th; + TX = ii[WS(is, 1)]; + TY = ii[WS(is, 9)]; + TZ = TX - TY; + T1V = TX + TY; + } + { + E Tj, Tk, T12, T13; + Tj = ri[WS(is, 5)]; + Tk = ri[WS(is, 13)]; + Tl = Tj + Tk; + TW = Tj - Tk; + T12 = ii[WS(is, 5)]; + T13 = ii[WS(is, 13)]; + T14 = T12 - T13; + T1W = T12 + T13; + } + Tm = Ti + Tl; + T1X = T1V - T1W; + T2g = T1V + T1W; + T10 = TW + TZ; + T15 = T11 - T14; + T1B = T11 + T14; + T1U = Ti - Tl; + T1A = TZ - TW; + } + { + E Tf, Tu, T2j, T2k; + Tf = T7 + Te; + Tu = Tm + Tt; + ro[WS(os, 8)] = Tf - Tu; + ro[0] = Tf + Tu; + T2j = TC + TJ; + T2k = T2g + T2h; + io[WS(os, 8)] = T2j - T2k; + io[0] = T2j + T2k; + } + { + E Tv, TK, T2f, T2i; + Tv = Tt - Tm; + TK = TC - TJ; + io[WS(os, 4)] = Tv + TK; + io[WS(os, 12)] = TK - Tv; + T2f = T7 - Te; + T2i = T2g - T2h; + ro[WS(os, 12)] = T2f - T2i; + ro[WS(os, 4)] = T2f + T2i; + } + { + E T1T, T27, T24, T28, T1Y, T23; + T1T = T1R + T1S; + T27 = T25 - T26; + T1Y = T1U + T1X; + T23 = T1Z - T22; + T24 = KP707106781 * (T1Y + T23); + T28 = KP707106781 * (T23 - T1Y); + ro[WS(os, 10)] = T1T - T24; + io[WS(os, 6)] = T27 + T28; + ro[WS(os, 2)] = T1T + T24; + io[WS(os, 14)] = T27 - T28; + } + { + E T29, T2d, T2c, T2e, T2a, T2b; + T29 = T1R - T1S; + T2d = T26 + T25; + T2a = T1X - T1U; + T2b = T1Z + T22; + T2c = KP707106781 * (T2a - T2b); + T2e = KP707106781 * (T2a + T2b); + ro[WS(os, 14)] = T29 - T2c; + io[WS(os, 2)] = T2d + T2e; + ro[WS(os, 6)] = T29 + T2c; + io[WS(os, 10)] = T2d - T2e; + } + { + E TV, T1r, T1p, T1v, T1i, T1q, T1u, T1w, TU, T1o; + TU = KP707106781 * (TQ - TT); + TV = TN + TU; + T1r = TN - TU; + T1o = KP707106781 * (T1m - T1n); + T1p = T1l - T1o; + T1v = T1l + T1o; + { + E T16, T1h, T1s, T1t; + T16 = FMA(KP923879532, T10, KP382683432 * T15); + T1h = FNMS(KP923879532, T1g, KP382683432 * T1b); + T1i = T16 + T1h; + T1q = T1h - T16; + T1s = FNMS(KP923879532, T15, KP382683432 * T10); + T1t = FMA(KP382683432, T1g, KP923879532 * T1b); + T1u = T1s - T1t; + T1w = T1s + T1t; + } + ro[WS(os, 11)] = TV - T1i; + io[WS(os, 11)] = T1v - T1w; + ro[WS(os, 3)] = TV + T1i; + io[WS(os, 3)] = T1v + T1w; + io[WS(os, 15)] = T1p - T1q; + ro[WS(os, 15)] = T1r - T1u; + io[WS(os, 7)] = T1p + T1q; + ro[WS(os, 7)] = T1r + T1u; + } + { + E T1z, T1L, T1J, T1P, T1G, T1K, T1O, T1Q, T1y, T1I; + T1y = KP707106781 * (T1n + T1m); + T1z = T1x + T1y; + T1L = T1x - T1y; + T1I = KP707106781 * (TQ + TT); + T1J = T1H - T1I; + T1P = T1H + T1I; + { + E T1C, T1F, T1M, T1N; + T1C = FMA(KP382683432, T1A, KP923879532 * T1B); + T1F = FNMS(KP382683432, T1E, KP923879532 * T1D); + T1G = T1C + T1F; + T1K = T1F - T1C; + T1M = FNMS(KP382683432, T1B, KP923879532 * T1A); + T1N = FMA(KP923879532, T1E, KP382683432 * T1D); + T1O = T1M - T1N; + T1Q = T1M + T1N; + } + ro[WS(os, 9)] = T1z - T1G; + io[WS(os, 9)] = T1P - T1Q; + ro[WS(os, 1)] = T1z + T1G; + io[WS(os, 1)] = T1P + T1Q; + io[WS(os, 13)] = T1J - T1K; + ro[WS(os, 13)] = T1L - T1O; + io[WS(os, 5)] = T1J + T1K; + ro[WS(os, 5)] = T1L + T1O; + } + } +} + +static void m1_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; i -= 1) { + m1_16_0(ri, ii, ro, io, is, os); + ri += ivs; + ii += ivs; + ro += ovs; + io += ovs; + } +} + +static const kdft_desc desc = { 16, "m1_16", {136, 16, 8, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_m1_16) (planner *p) { + X(kdft_register) (p, m1_16, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/m1_32.c b/src/fftw3/dft/codelets/standard/m1_32.c new file mode 100644 index 0000000..aa75d21 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/m1_32.c @@ -0,0 +1,684 @@ +/* + * 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 21:29:38 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw_noinline -compact -variables 4 -n 32 -name m1_32 -include n.h */ + +/* + * This function contains 372 FP additions, 84 FP multiplications, + * (or, 340 additions, 52 multiplications, 32 fused multiply/add), + * 99 stack variables, and 128 memory accesses + */ +/* + * Generator Id's : + * $Id: m1_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: m1_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: m1_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void m1_32_0(const R *ri, const R *ii, R *ro, R *io, stride is, stride os) +{ + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T7, T4r, T4Z, T18, T1z, T3t, T3T, T2T, Te, T1f, T50, T4s, T2W, T3u, T1G; + E T3U, Tm, T1n, T1O, T2Z, T3y, T3X, T4w, T53, Tt, T1u, T1V, T2Y, T3B, T3W; + E T4z, T52, T2t, T3L, T3O, T2K, TR, TY, T5F, T5G, T5H, T5I, T4R, T5j, T2E; + E T3P, T4W, T5k, T2N, T3M, T22, T3E, T3H, T2j, TC, TJ, T5A, T5B, T5C, T5D; + E T4G, T5g, T2d, T3F, T4L, T5h, T2m, T3I; + { + E T3, T1x, T14, T2S, T6, T2R, T17, T1y; + { + E T1, T2, T12, T13; + T1 = ri[0]; + T2 = ri[WS(is, 16)]; + T3 = T1 + T2; + T1x = T1 - T2; + T12 = ii[0]; + T13 = ii[WS(is, 16)]; + T14 = T12 + T13; + T2S = T12 - T13; + } + { + E T4, T5, T15, T16; + T4 = ri[WS(is, 8)]; + T5 = ri[WS(is, 24)]; + T6 = T4 + T5; + T2R = T4 - T5; + T15 = ii[WS(is, 8)]; + T16 = ii[WS(is, 24)]; + T17 = T15 + T16; + T1y = T15 - T16; + } + T7 = T3 + T6; + T4r = T3 - T6; + T4Z = T14 - T17; + T18 = T14 + T17; + T1z = T1x - T1y; + T3t = T1x + T1y; + T3T = T2S - T2R; + T2T = T2R + T2S; + } + { + E Ta, T1B, T1b, T1A, Td, T1D, T1e, T1E; + { + E T8, T9, T19, T1a; + T8 = ri[WS(is, 4)]; + T9 = ri[WS(is, 20)]; + Ta = T8 + T9; + T1B = T8 - T9; + T19 = ii[WS(is, 4)]; + T1a = ii[WS(is, 20)]; + T1b = T19 + T1a; + T1A = T19 - T1a; + } + { + E Tb, Tc, T1c, T1d; + Tb = ri[WS(is, 28)]; + Tc = ri[WS(is, 12)]; + Td = Tb + Tc; + T1D = Tb - Tc; + T1c = ii[WS(is, 28)]; + T1d = ii[WS(is, 12)]; + T1e = T1c + T1d; + T1E = T1c - T1d; + } + Te = Ta + Td; + T1f = T1b + T1e; + T50 = Td - Ta; + T4s = T1b - T1e; + { + E T2U, T2V, T1C, T1F; + T2U = T1D - T1E; + T2V = T1B + T1A; + T2W = KP707106781 * (T2U - T2V); + T3u = KP707106781 * (T2V + T2U); + T1C = T1A - T1B; + T1F = T1D + T1E; + T1G = KP707106781 * (T1C - T1F); + T3U = KP707106781 * (T1C + T1F); + } + } + { + E Ti, T1L, T1j, T1J, Tl, T1I, T1m, T1M, T1K, T1N; + { + E Tg, Th, T1h, T1i; + Tg = ri[WS(is, 2)]; + Th = ri[WS(is, 18)]; + Ti = Tg + Th; + T1L = Tg - Th; + T1h = ii[WS(is, 2)]; + T1i = ii[WS(is, 18)]; + T1j = T1h + T1i; + T1J = T1h - T1i; + } + { + E Tj, Tk, T1k, T1l; + Tj = ri[WS(is, 10)]; + Tk = ri[WS(is, 26)]; + Tl = Tj + Tk; + T1I = Tj - Tk; + T1k = ii[WS(is, 10)]; + T1l = ii[WS(is, 26)]; + T1m = T1k + T1l; + T1M = T1k - T1l; + } + Tm = Ti + Tl; + T1n = T1j + T1m; + T1K = T1I + T1J; + T1N = T1L - T1M; + T1O = FNMS(KP923879532, T1N, KP382683432 * T1K); + T2Z = FMA(KP923879532, T1K, KP382683432 * T1N); + { + E T3w, T3x, T4u, T4v; + T3w = T1J - T1I; + T3x = T1L + T1M; + T3y = FNMS(KP382683432, T3x, KP923879532 * T3w); + T3X = FMA(KP382683432, T3w, KP923879532 * T3x); + T4u = T1j - T1m; + T4v = Ti - Tl; + T4w = T4u - T4v; + T53 = T4v + T4u; + } + } + { + E Tp, T1S, T1q, T1Q, Ts, T1P, T1t, T1T, T1R, T1U; + { + E Tn, To, T1o, T1p; + Tn = ri[WS(is, 30)]; + To = ri[WS(is, 14)]; + Tp = Tn + To; + T1S = Tn - To; + T1o = ii[WS(is, 30)]; + T1p = ii[WS(is, 14)]; + T1q = T1o + T1p; + T1Q = T1o - T1p; + } + { + E Tq, Tr, T1r, T1s; + Tq = ri[WS(is, 6)]; + Tr = ri[WS(is, 22)]; + Ts = Tq + Tr; + T1P = Tq - Tr; + T1r = ii[WS(is, 6)]; + T1s = ii[WS(is, 22)]; + T1t = T1r + T1s; + T1T = T1r - T1s; + } + Tt = Tp + Ts; + T1u = T1q + T1t; + T1R = T1P + T1Q; + T1U = T1S - T1T; + T1V = FMA(KP382683432, T1R, KP923879532 * T1U); + T2Y = FNMS(KP923879532, T1R, KP382683432 * T1U); + { + E T3z, T3A, T4x, T4y; + T3z = T1Q - T1P; + T3A = T1S + T1T; + T3B = FMA(KP923879532, T3z, KP382683432 * T3A); + T3W = FNMS(KP382683432, T3z, KP923879532 * T3A); + T4x = Tp - Ts; + T4y = T1q - T1t; + T4z = T4x + T4y; + T52 = T4x - T4y; + } + } + { + E TN, T2p, T2J, T4S, TQ, T2G, T2s, T4T, TU, T2x, T2w, T4O, TX, T2z, T2C; + E T4P; + { + E TL, TM, T2H, T2I; + TL = ri[WS(is, 31)]; + TM = ri[WS(is, 15)]; + TN = TL + TM; + T2p = TL - TM; + T2H = ii[WS(is, 31)]; + T2I = ii[WS(is, 15)]; + T2J = T2H - T2I; + T4S = T2H + T2I; + } + { + E TO, TP, T2q, T2r; + TO = ri[WS(is, 7)]; + TP = ri[WS(is, 23)]; + TQ = TO + TP; + T2G = TO - TP; + T2q = ii[WS(is, 7)]; + T2r = ii[WS(is, 23)]; + T2s = T2q - T2r; + T4T = T2q + T2r; + } + { + E TS, TT, T2u, T2v; + TS = ri[WS(is, 3)]; + TT = ri[WS(is, 19)]; + TU = TS + TT; + T2x = TS - TT; + T2u = ii[WS(is, 3)]; + T2v = ii[WS(is, 19)]; + T2w = T2u - T2v; + T4O = T2u + T2v; + } + { + E TV, TW, T2A, T2B; + TV = ri[WS(is, 27)]; + TW = ri[WS(is, 11)]; + TX = TV + TW; + T2z = TV - TW; + T2A = ii[WS(is, 27)]; + T2B = ii[WS(is, 11)]; + T2C = T2A - T2B; + T4P = T2A + T2B; + } + T2t = T2p - T2s; + T3L = T2p + T2s; + T3O = T2J - T2G; + T2K = T2G + T2J; + TR = TN + TQ; + TY = TU + TX; + T5F = TR - TY; + { + E T4N, T4Q, T2y, T2D; + T5G = T4S + T4T; + T5H = T4O + T4P; + T5I = T5G - T5H; + T4N = TN - TQ; + T4Q = T4O - T4P; + T4R = T4N - T4Q; + T5j = T4N + T4Q; + T2y = T2w - T2x; + T2D = T2z + T2C; + T2E = KP707106781 * (T2y - T2D); + T3P = KP707106781 * (T2y + T2D); + { + E T4U, T4V, T2L, T2M; + T4U = T4S - T4T; + T4V = TX - TU; + T4W = T4U - T4V; + T5k = T4V + T4U; + T2L = T2z - T2C; + T2M = T2x + T2w; + T2N = KP707106781 * (T2L - T2M); + T3M = KP707106781 * (T2M + T2L); + } + } + } + { + E Ty, T2f, T21, T4C, TB, T1Y, T2i, T4D, TF, T28, T2b, T4I, TI, T23, T26; + E T4J; + { + E Tw, Tx, T1Z, T20; + Tw = ri[WS(is, 1)]; + Tx = ri[WS(is, 17)]; + Ty = Tw + Tx; + T2f = Tw - Tx; + T1Z = ii[WS(is, 1)]; + T20 = ii[WS(is, 17)]; + T21 = T1Z - T20; + T4C = T1Z + T20; + } + { + E Tz, TA, T2g, T2h; + Tz = ri[WS(is, 9)]; + TA = ri[WS(is, 25)]; + TB = Tz + TA; + T1Y = Tz - TA; + T2g = ii[WS(is, 9)]; + T2h = ii[WS(is, 25)]; + T2i = T2g - T2h; + T4D = T2g + T2h; + } + { + E TD, TE, T29, T2a; + TD = ri[WS(is, 5)]; + TE = ri[WS(is, 21)]; + TF = TD + TE; + T28 = TD - TE; + T29 = ii[WS(is, 5)]; + T2a = ii[WS(is, 21)]; + T2b = T29 - T2a; + T4I = T29 + T2a; + } + { + E TG, TH, T24, T25; + TG = ri[WS(is, 29)]; + TH = ri[WS(is, 13)]; + TI = TG + TH; + T23 = TG - TH; + T24 = ii[WS(is, 29)]; + T25 = ii[WS(is, 13)]; + T26 = T24 - T25; + T4J = T24 + T25; + } + T22 = T1Y + T21; + T3E = T2f + T2i; + T3H = T21 - T1Y; + T2j = T2f - T2i; + TC = Ty + TB; + TJ = TF + TI; + T5A = TC - TJ; + { + E T4E, T4F, T27, T2c; + T5B = T4C + T4D; + T5C = T4I + T4J; + T5D = T5B - T5C; + T4E = T4C - T4D; + T4F = TI - TF; + T4G = T4E - T4F; + T5g = T4F + T4E; + T27 = T23 - T26; + T2c = T28 + T2b; + T2d = KP707106781 * (T27 - T2c); + T3F = KP707106781 * (T2c + T27); + { + E T4H, T4K, T2k, T2l; + T4H = Ty - TB; + T4K = T4I - T4J; + T4L = T4H - T4K; + T5h = T4H + T4K; + T2k = T2b - T28; + T2l = T23 + T26; + T2m = KP707106781 * (T2k - T2l); + T3I = KP707106781 * (T2k + T2l); + } + } + } + { + E T4B, T57, T5a, T5c, T4Y, T56, T55, T5b; + { + E T4t, T4A, T58, T59; + T4t = T4r - T4s; + T4A = KP707106781 * (T4w - T4z); + T4B = T4t + T4A; + T57 = T4t - T4A; + T58 = FNMS(KP923879532, T4L, KP382683432 * T4G); + T59 = FMA(KP382683432, T4W, KP923879532 * T4R); + T5a = T58 - T59; + T5c = T58 + T59; + } + { + E T4M, T4X, T51, T54; + T4M = FMA(KP923879532, T4G, KP382683432 * T4L); + T4X = FNMS(KP923879532, T4W, KP382683432 * T4R); + T4Y = T4M + T4X; + T56 = T4X - T4M; + T51 = T4Z - T50; + T54 = KP707106781 * (T52 - T53); + T55 = T51 - T54; + T5b = T51 + T54; + } + ro[WS(os, 22)] = T4B - T4Y; + io[WS(os, 22)] = T5b - T5c; + ro[WS(os, 6)] = T4B + T4Y; + io[WS(os, 6)] = T5b + T5c; + io[WS(os, 30)] = T55 - T56; + ro[WS(os, 30)] = T57 - T5a; + io[WS(os, 14)] = T55 + T56; + ro[WS(os, 14)] = T57 + T5a; + } + { + E T5f, T5r, T5u, T5w, T5m, T5q, T5p, T5v; + { + E T5d, T5e, T5s, T5t; + T5d = T4r + T4s; + T5e = KP707106781 * (T53 + T52); + T5f = T5d + T5e; + T5r = T5d - T5e; + T5s = FNMS(KP382683432, T5h, KP923879532 * T5g); + T5t = FMA(KP923879532, T5k, KP382683432 * T5j); + T5u = T5s - T5t; + T5w = T5s + T5t; + } + { + E T5i, T5l, T5n, T5o; + T5i = FMA(KP382683432, T5g, KP923879532 * T5h); + T5l = FNMS(KP382683432, T5k, KP923879532 * T5j); + T5m = T5i + T5l; + T5q = T5l - T5i; + T5n = T50 + T4Z; + T5o = KP707106781 * (T4w + T4z); + T5p = T5n - T5o; + T5v = T5n + T5o; + } + ro[WS(os, 18)] = T5f - T5m; + io[WS(os, 18)] = T5v - T5w; + ro[WS(os, 2)] = T5f + T5m; + io[WS(os, 2)] = T5v + T5w; + io[WS(os, 26)] = T5p - T5q; + ro[WS(os, 26)] = T5r - T5u; + io[WS(os, 10)] = T5p + T5q; + ro[WS(os, 10)] = T5r + T5u; + } + { + E T5z, T5P, T5S, T5U, T5K, T5O, T5N, T5T; + { + E T5x, T5y, T5Q, T5R; + T5x = T7 - Te; + T5y = T1n - T1u; + T5z = T5x + T5y; + T5P = T5x - T5y; + T5Q = T5D - T5A; + T5R = T5F + T5I; + T5S = KP707106781 * (T5Q - T5R); + T5U = KP707106781 * (T5Q + T5R); + } + { + E T5E, T5J, T5L, T5M; + T5E = T5A + T5D; + T5J = T5F - T5I; + T5K = KP707106781 * (T5E + T5J); + T5O = KP707106781 * (T5J - T5E); + T5L = T18 - T1f; + T5M = Tt - Tm; + T5N = T5L - T5M; + T5T = T5M + T5L; + } + ro[WS(os, 20)] = T5z - T5K; + io[WS(os, 20)] = T5T - T5U; + ro[WS(os, 4)] = T5z + T5K; + io[WS(os, 4)] = T5T + T5U; + io[WS(os, 28)] = T5N - T5O; + ro[WS(os, 28)] = T5P - T5S; + io[WS(os, 12)] = T5N + T5O; + ro[WS(os, 12)] = T5P + T5S; + } + { + E Tv, T5V, T5Y, T60, T10, T11, T1w, T5Z; + { + E Tf, Tu, T5W, T5X; + Tf = T7 + Te; + Tu = Tm + Tt; + Tv = Tf + Tu; + T5V = Tf - Tu; + T5W = T5B + T5C; + T5X = T5G + T5H; + T5Y = T5W - T5X; + T60 = T5W + T5X; + } + { + E TK, TZ, T1g, T1v; + TK = TC + TJ; + TZ = TR + TY; + T10 = TK + TZ; + T11 = TZ - TK; + T1g = T18 + T1f; + T1v = T1n + T1u; + T1w = T1g - T1v; + T5Z = T1g + T1v; + } + ro[WS(os, 16)] = Tv - T10; + io[WS(os, 16)] = T5Z - T60; + ro[0] = Tv + T10; + io[0] = T5Z + T60; + io[WS(os, 8)] = T11 + T1w; + ro[WS(os, 8)] = T5V + T5Y; + io[WS(os, 24)] = T1w - T11; + ro[WS(os, 24)] = T5V - T5Y; + } + { + E T1X, T33, T31, T37, T2o, T34, T2P, T35; + { + E T1H, T1W, T2X, T30; + T1H = T1z - T1G; + T1W = T1O - T1V; + T1X = T1H + T1W; + T33 = T1H - T1W; + T2X = T2T - T2W; + T30 = T2Y - T2Z; + T31 = T2X - T30; + T37 = T2X + T30; + } + { + E T2e, T2n, T2F, T2O; + T2e = T22 - T2d; + T2n = T2j - T2m; + T2o = FMA(KP980785280, T2e, KP195090322 * T2n); + T34 = FNMS(KP980785280, T2n, KP195090322 * T2e); + T2F = T2t - T2E; + T2O = T2K - T2N; + T2P = FNMS(KP980785280, T2O, KP195090322 * T2F); + T35 = FMA(KP195090322, T2O, KP980785280 * T2F); + } + { + E T2Q, T38, T32, T36; + T2Q = T2o + T2P; + ro[WS(os, 23)] = T1X - T2Q; + ro[WS(os, 7)] = T1X + T2Q; + T38 = T34 + T35; + io[WS(os, 23)] = T37 - T38; + io[WS(os, 7)] = T37 + T38; + T32 = T2P - T2o; + io[WS(os, 31)] = T31 - T32; + io[WS(os, 15)] = T31 + T32; + T36 = T34 - T35; + ro[WS(os, 31)] = T33 - T36; + ro[WS(os, 15)] = T33 + T36; + } + } + { + E T3D, T41, T3Z, T45, T3K, T42, T3R, T43; + { + E T3v, T3C, T3V, T3Y; + T3v = T3t - T3u; + T3C = T3y - T3B; + T3D = T3v + T3C; + T41 = T3v - T3C; + T3V = T3T - T3U; + T3Y = T3W - T3X; + T3Z = T3V - T3Y; + T45 = T3V + T3Y; + } + { + E T3G, T3J, T3N, T3Q; + T3G = T3E - T3F; + T3J = T3H - T3I; + T3K = FMA(KP555570233, T3G, KP831469612 * T3J); + T42 = FNMS(KP831469612, T3G, KP555570233 * T3J); + T3N = T3L - T3M; + T3Q = T3O - T3P; + T3R = FNMS(KP831469612, T3Q, KP555570233 * T3N); + T43 = FMA(KP831469612, T3N, KP555570233 * T3Q); + } + { + E T3S, T46, T40, T44; + T3S = T3K + T3R; + ro[WS(os, 21)] = T3D - T3S; + ro[WS(os, 5)] = T3D + T3S; + T46 = T42 + T43; + io[WS(os, 21)] = T45 - T46; + io[WS(os, 5)] = T45 + T46; + T40 = T3R - T3K; + io[WS(os, 29)] = T3Z - T40; + io[WS(os, 13)] = T3Z + T40; + T44 = T42 - T43; + ro[WS(os, 29)] = T41 - T44; + ro[WS(os, 13)] = T41 + T44; + } + } + { + E T49, T4l, T4j, T4p, T4c, T4m, T4f, T4n; + { + E T47, T48, T4h, T4i; + T47 = T3t + T3u; + T48 = T3X + T3W; + T49 = T47 + T48; + T4l = T47 - T48; + T4h = T3T + T3U; + T4i = T3y + T3B; + T4j = T4h - T4i; + T4p = T4h + T4i; + } + { + E T4a, T4b, T4d, T4e; + T4a = T3E + T3F; + T4b = T3H + T3I; + T4c = FMA(KP980785280, T4a, KP195090322 * T4b); + T4m = FNMS(KP195090322, T4a, KP980785280 * T4b); + T4d = T3L + T3M; + T4e = T3O + T3P; + T4f = FNMS(KP195090322, T4e, KP980785280 * T4d); + T4n = FMA(KP195090322, T4d, KP980785280 * T4e); + } + { + E T4g, T4q, T4k, T4o; + T4g = T4c + T4f; + ro[WS(os, 17)] = T49 - T4g; + ro[WS(os, 1)] = T49 + T4g; + T4q = T4m + T4n; + io[WS(os, 17)] = T4p - T4q; + io[WS(os, 1)] = T4p + T4q; + T4k = T4f - T4c; + io[WS(os, 25)] = T4j - T4k; + io[WS(os, 9)] = T4j + T4k; + T4o = T4m - T4n; + ro[WS(os, 25)] = T4l - T4o; + ro[WS(os, 9)] = T4l + T4o; + } + } + { + E T3b, T3n, T3l, T3r, T3e, T3o, T3h, T3p; + { + E T39, T3a, T3j, T3k; + T39 = T1z + T1G; + T3a = T2Z + T2Y; + T3b = T39 + T3a; + T3n = T39 - T3a; + T3j = T2T + T2W; + T3k = T1O + T1V; + T3l = T3j - T3k; + T3r = T3j + T3k; + } + { + E T3c, T3d, T3f, T3g; + T3c = T22 + T2d; + T3d = T2j + T2m; + T3e = FMA(KP555570233, T3c, KP831469612 * T3d); + T3o = FNMS(KP555570233, T3d, KP831469612 * T3c); + T3f = T2t + T2E; + T3g = T2K + T2N; + T3h = FNMS(KP555570233, T3g, KP831469612 * T3f); + T3p = FMA(KP831469612, T3g, KP555570233 * T3f); + } + { + E T3i, T3s, T3m, T3q; + T3i = T3e + T3h; + ro[WS(os, 19)] = T3b - T3i; + ro[WS(os, 3)] = T3b + T3i; + T3s = T3o + T3p; + io[WS(os, 19)] = T3r - T3s; + io[WS(os, 3)] = T3r + T3s; + T3m = T3h - T3e; + io[WS(os, 27)] = T3l - T3m; + io[WS(os, 11)] = T3l + T3m; + T3q = T3o - T3p; + ro[WS(os, 27)] = T3n - T3q; + ro[WS(os, 11)] = T3n + T3q; + } + } + } +} + +static void m1_32(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; i -= 1) { + m1_32_0(ri, ii, ro, io, is, os); + ri += ivs; + ii += ivs; + ro += ovs; + io += ovs; + } +} + +static const kdft_desc desc = { 32, "m1_32", {340, 52, 32, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_m1_32) (planner *p) { + X(kdft_register) (p, m1_32, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/m1_64.c b/src/fftw3/dft/codelets/standard/m1_64.c new file mode 100644 index 0000000..72047bf --- /dev/null +++ b/src/fftw3/dft/codelets/standard/m1_64.c @@ -0,0 +1,1568 @@ +/* + * 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 21:29:42 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw_noinline -compact -variables 4 -n 64 -name m1_64 -include n.h */ + +/* + * This function contains 912 FP additions, 248 FP multiplications, + * (or, 808 additions, 144 multiplications, 104 fused multiply/add), + * 171 stack variables, and 256 memory accesses + */ +/* + * Generator Id's : + * $Id: m1_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: m1_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: m1_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void m1_64_0(const R *ri, const R *ii, R *ro, R *io, stride is, stride os) +{ + DK(KP773010453, +0.773010453362736960810906609758469800971041293); + DK(KP634393284, +0.634393284163645498215171613225493370675687095); + DK(KP098017140, +0.098017140329560601994195563888641845861136673); + DK(KP995184726, +0.995184726672196886244836953109479921575474869); + DK(KP881921264, +0.881921264348355029712756863660388349508442621); + DK(KP471396736, +0.471396736825997648556387625905254377657460319); + DK(KP290284677, +0.290284677254462367636192375817395274691476278); + DK(KP956940335, +0.956940335732208864935797886980269969482849206); + DK(KP831469612, +0.831469612302545237078788377617905756738560812); + DK(KP555570233, +0.555570233019602224742830813948532874374937191); + DK(KP195090322, +0.195090322016128267848284868477022240927691618); + DK(KP980785280, +0.980785280403230449126182236134239036973933731); + DK(KP923879532, +0.923879532511286756128183189396788286822416626); + DK(KP382683432, +0.382683432365089771728459984030398866761344562); + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + { + E T37, T7B, T8F, T5Z, Tf, Td9, TbB, TcB, T62, T7C, T2i, TdH, Tah, Tcb, T3e; + E T8G, Tu, TdI, Tak, TbD, Tan, TbC, T2x, Tda, T3m, T65, T7G, T8J, T7J, T8I; + E T3t, T64, TK, Tdd, Tas, Tce, Tav, Tcf, T2N, Tdc, T3G, T6G, T7O, T9k, T7R; + E T9l, T3N, T6H, T1L, Tdv, Tbs, Tcw, TdC, Teo, T5j, T6V, T5Q, T6Y, T8y, T9C; + E Tbb, Tct, T8n, T9z, TZ, Tdf, Taz, Tch, TaC, Tci, T32, Tdg, T3Z, T6J, T7V; + E T9n, T7Y, T9o, T46, T6K, T1g, Tdp, Tb1, Tcm, Tdm, Tej, T4q, T6R, T4X, T6O; + E T8f, T9s, TaK, Tcp, T84, T9v, T1v, Tdn, Tb4, Tcq, Tds, Tek, T4N, T6P, T50; + E T6S, T8i, T9w, TaV, Tcn, T8b, T9t, T20, TdD, Tbv, Tcu, Tdy, Tep, T5G, T6Z; + E T5T, T6W, T8B, T9A, Tbm, Tcx, T8u, T9D; + { + E T3, T35, T26, T5Y, T6, T5X, T29, T36, Ta, T39, T2d, T38, Td, T3b, T2g; + E T3c; + { + E T1, T2, T24, T25; + T1 = ri[0]; + T2 = ri[WS(is, 32)]; + T3 = T1 + T2; + T35 = T1 - T2; + T24 = ii[0]; + T25 = ii[WS(is, 32)]; + T26 = T24 + T25; + T5Y = T24 - T25; + } + { + E T4, T5, T27, T28; + T4 = ri[WS(is, 16)]; + T5 = ri[WS(is, 48)]; + T6 = T4 + T5; + T5X = T4 - T5; + T27 = ii[WS(is, 16)]; + T28 = ii[WS(is, 48)]; + T29 = T27 + T28; + T36 = T27 - T28; + } + { + E T8, T9, T2b, T2c; + T8 = ri[WS(is, 8)]; + T9 = ri[WS(is, 40)]; + Ta = T8 + T9; + T39 = T8 - T9; + T2b = ii[WS(is, 8)]; + T2c = ii[WS(is, 40)]; + T2d = T2b + T2c; + T38 = T2b - T2c; + } + { + E Tb, Tc, T2e, T2f; + Tb = ri[WS(is, 56)]; + Tc = ri[WS(is, 24)]; + Td = Tb + Tc; + T3b = Tb - Tc; + T2e = ii[WS(is, 56)]; + T2f = ii[WS(is, 24)]; + T2g = T2e + T2f; + T3c = T2e - T2f; + } + { + E T7, Te, T2a, T2h; + T37 = T35 - T36; + T7B = T35 + T36; + T8F = T5Y - T5X; + T5Z = T5X + T5Y; + T7 = T3 + T6; + Te = Ta + Td; + Tf = T7 + Te; + Td9 = T7 - Te; + { + E Tbz, TbA, T60, T61; + Tbz = T26 - T29; + TbA = Td - Ta; + TbB = Tbz - TbA; + TcB = TbA + Tbz; + T60 = T3b - T3c; + T61 = T39 + T38; + T62 = KP707106781 * (T60 - T61); + T7C = KP707106781 * (T61 + T60); + } + T2a = T26 + T29; + T2h = T2d + T2g; + T2i = T2a + T2h; + TdH = T2a - T2h; + { + E Taf, Tag, T3a, T3d; + Taf = T3 - T6; + Tag = T2d - T2g; + Tah = Taf - Tag; + Tcb = Taf + Tag; + T3a = T38 - T39; + T3d = T3b + T3c; + T3e = KP707106781 * (T3a - T3d); + T8G = KP707106781 * (T3a + T3d); + } + } + } + { + E Ti, T3j, T2l, T3h, Tl, T3g, T2o, T3k, Tp, T3q, T2s, T3o, Ts, T3n, T2v; + E T3r; + { + E Tg, Th, T2j, T2k; + Tg = ri[WS(is, 4)]; + Th = ri[WS(is, 36)]; + Ti = Tg + Th; + T3j = Tg - Th; + T2j = ii[WS(is, 4)]; + T2k = ii[WS(is, 36)]; + T2l = T2j + T2k; + T3h = T2j - T2k; + } + { + E Tj, Tk, T2m, T2n; + Tj = ri[WS(is, 20)]; + Tk = ri[WS(is, 52)]; + Tl = Tj + Tk; + T3g = Tj - Tk; + T2m = ii[WS(is, 20)]; + T2n = ii[WS(is, 52)]; + T2o = T2m + T2n; + T3k = T2m - T2n; + } + { + E Tn, To, T2q, T2r; + Tn = ri[WS(is, 60)]; + To = ri[WS(is, 28)]; + Tp = Tn + To; + T3q = Tn - To; + T2q = ii[WS(is, 60)]; + T2r = ii[WS(is, 28)]; + T2s = T2q + T2r; + T3o = T2q - T2r; + } + { + E Tq, Tr, T2t, T2u; + Tq = ri[WS(is, 12)]; + Tr = ri[WS(is, 44)]; + Ts = Tq + Tr; + T3n = Tq - Tr; + T2t = ii[WS(is, 12)]; + T2u = ii[WS(is, 44)]; + T2v = T2t + T2u; + T3r = T2t - T2u; + } + { + E Tm, Tt, Tai, Taj; + Tm = Ti + Tl; + Tt = Tp + Ts; + Tu = Tm + Tt; + TdI = Tt - Tm; + Tai = T2l - T2o; + Taj = Ti - Tl; + Tak = Tai - Taj; + TbD = Taj + Tai; + } + { + E Tal, Tam, T2p, T2w; + Tal = Tp - Ts; + Tam = T2s - T2v; + Tan = Tal + Tam; + TbC = Tal - Tam; + T2p = T2l + T2o; + T2w = T2s + T2v; + T2x = T2p + T2w; + Tda = T2p - T2w; + } + { + E T3i, T3l, T7E, T7F; + T3i = T3g + T3h; + T3l = T3j - T3k; + T3m = FNMS(KP923879532, T3l, KP382683432 * T3i); + T65 = FMA(KP923879532, T3i, KP382683432 * T3l); + T7E = T3h - T3g; + T7F = T3j + T3k; + T7G = FNMS(KP382683432, T7F, KP923879532 * T7E); + T8J = FMA(KP382683432, T7E, KP923879532 * T7F); + } + { + E T7H, T7I, T3p, T3s; + T7H = T3o - T3n; + T7I = T3q + T3r; + T7J = FMA(KP923879532, T7H, KP382683432 * T7I); + T8I = FNMS(KP382683432, T7H, KP923879532 * T7I); + T3p = T3n + T3o; + T3s = T3q - T3r; + T3t = FMA(KP382683432, T3p, KP923879532 * T3s); + T64 = FNMS(KP923879532, T3p, KP382683432 * T3s); + } + } + { + E Ty, T3H, T2B, T3x, TB, T3w, T2E, T3I, TI, T3L, T2L, T3B, TF, T3K, T2I; + E T3E; + { + E Tw, Tx, T2C, T2D; + Tw = ri[WS(is, 2)]; + Tx = ri[WS(is, 34)]; + Ty = Tw + Tx; + T3H = Tw - Tx; + { + E T2z, T2A, Tz, TA; + T2z = ii[WS(is, 2)]; + T2A = ii[WS(is, 34)]; + T2B = T2z + T2A; + T3x = T2z - T2A; + Tz = ri[WS(is, 18)]; + TA = ri[WS(is, 50)]; + TB = Tz + TA; + T3w = Tz - TA; + } + T2C = ii[WS(is, 18)]; + T2D = ii[WS(is, 50)]; + T2E = T2C + T2D; + T3I = T2C - T2D; + { + E TG, TH, T3z, T2J, T2K, T3A; + TG = ri[WS(is, 58)]; + TH = ri[WS(is, 26)]; + T3z = TG - TH; + T2J = ii[WS(is, 58)]; + T2K = ii[WS(is, 26)]; + T3A = T2J - T2K; + TI = TG + TH; + T3L = T3z + T3A; + T2L = T2J + T2K; + T3B = T3z - T3A; + } + { + E TD, TE, T3C, T2G, T2H, T3D; + TD = ri[WS(is, 10)]; + TE = ri[WS(is, 42)]; + T3C = TD - TE; + T2G = ii[WS(is, 10)]; + T2H = ii[WS(is, 42)]; + T3D = T2G - T2H; + TF = TD + TE; + T3K = T3D - T3C; + T2I = T2G + T2H; + T3E = T3C + T3D; + } + } + { + E TC, TJ, Taq, Tar; + TC = Ty + TB; + TJ = TF + TI; + TK = TC + TJ; + Tdd = TC - TJ; + Taq = T2B - T2E; + Tar = TI - TF; + Tas = Taq - Tar; + Tce = Tar + Taq; + } + { + E Tat, Tau, T2F, T2M; + Tat = Ty - TB; + Tau = T2I - T2L; + Tav = Tat - Tau; + Tcf = Tat + Tau; + T2F = T2B + T2E; + T2M = T2I + T2L; + T2N = T2F + T2M; + Tdc = T2F - T2M; + } + { + E T3y, T3F, T7M, T7N; + T3y = T3w + T3x; + T3F = KP707106781 * (T3B - T3E); + T3G = T3y - T3F; + T6G = T3y + T3F; + T7M = T3x - T3w; + T7N = KP707106781 * (T3K + T3L); + T7O = T7M - T7N; + T9k = T7M + T7N; + } + { + E T7P, T7Q, T3J, T3M; + T7P = T3H + T3I; + T7Q = KP707106781 * (T3E + T3B); + T7R = T7P - T7Q; + T9l = T7P + T7Q; + T3J = T3H - T3I; + T3M = KP707106781 * (T3K - T3L); + T3N = T3J - T3M; + T6H = T3J + T3M; + } + } + { + E T1z, T53, T5L, Tbo, T1C, T5I, T56, Tbp, T1J, Tb9, T5h, T5N, T1G, Tb8, T5c; + E T5O; + { + E T1x, T1y, T54, T55; + T1x = ri[WS(is, 63)]; + T1y = ri[WS(is, 31)]; + T1z = T1x + T1y; + T53 = T1x - T1y; + { + E T5J, T5K, T1A, T1B; + T5J = ii[WS(is, 63)]; + T5K = ii[WS(is, 31)]; + T5L = T5J - T5K; + Tbo = T5J + T5K; + T1A = ri[WS(is, 15)]; + T1B = ri[WS(is, 47)]; + T1C = T1A + T1B; + T5I = T1A - T1B; + } + T54 = ii[WS(is, 15)]; + T55 = ii[WS(is, 47)]; + T56 = T54 - T55; + Tbp = T54 + T55; + { + E T1H, T1I, T5d, T5e, T5f, T5g; + T1H = ri[WS(is, 55)]; + T1I = ri[WS(is, 23)]; + T5d = T1H - T1I; + T5e = ii[WS(is, 55)]; + T5f = ii[WS(is, 23)]; + T5g = T5e - T5f; + T1J = T1H + T1I; + Tb9 = T5e + T5f; + T5h = T5d + T5g; + T5N = T5d - T5g; + } + { + E T1E, T1F, T5b, T58, T59, T5a; + T1E = ri[WS(is, 7)]; + T1F = ri[WS(is, 39)]; + T5b = T1E - T1F; + T58 = ii[WS(is, 7)]; + T59 = ii[WS(is, 39)]; + T5a = T58 - T59; + T1G = T1E + T1F; + Tb8 = T58 + T59; + T5c = T5a - T5b; + T5O = T5b + T5a; + } + } + { + E T1D, T1K, Tbq, Tbr; + T1D = T1z + T1C; + T1K = T1G + T1J; + T1L = T1D + T1K; + Tdv = T1D - T1K; + Tbq = Tbo - Tbp; + Tbr = T1J - T1G; + Tbs = Tbq - Tbr; + Tcw = Tbr + Tbq; + } + { + E TdA, TdB, T57, T5i; + TdA = Tbo + Tbp; + TdB = Tb8 + Tb9; + TdC = TdA - TdB; + Teo = TdA + TdB; + T57 = T53 - T56; + T5i = KP707106781 * (T5c - T5h); + T5j = T57 - T5i; + T6V = T57 + T5i; + } + { + E T5M, T5P, T8w, T8x; + T5M = T5I + T5L; + T5P = KP707106781 * (T5N - T5O); + T5Q = T5M - T5P; + T6Y = T5M + T5P; + T8w = T5L - T5I; + T8x = KP707106781 * (T5c + T5h); + T8y = T8w - T8x; + T9C = T8w + T8x; + } + { + E Tb7, Tba, T8l, T8m; + Tb7 = T1z - T1C; + Tba = Tb8 - Tb9; + Tbb = Tb7 - Tba; + Tct = Tb7 + Tba; + T8l = T53 + T56; + T8m = KP707106781 * (T5O + T5N); + T8n = T8l - T8m; + T9z = T8l + T8m; + } + } + { + E TN, T40, T2Q, T3Q, TQ, T3P, T2T, T41, TX, T44, T30, T3U, TU, T43, T2X; + E T3X; + { + E TL, TM, T2R, T2S; + TL = ri[WS(is, 62)]; + TM = ri[WS(is, 30)]; + TN = TL + TM; + T40 = TL - TM; + { + E T2O, T2P, TO, TP; + T2O = ii[WS(is, 62)]; + T2P = ii[WS(is, 30)]; + T2Q = T2O + T2P; + T3Q = T2O - T2P; + TO = ri[WS(is, 14)]; + TP = ri[WS(is, 46)]; + TQ = TO + TP; + T3P = TO - TP; + } + T2R = ii[WS(is, 14)]; + T2S = ii[WS(is, 46)]; + T2T = T2R + T2S; + T41 = T2R - T2S; + { + E TV, TW, T3S, T2Y, T2Z, T3T; + TV = ri[WS(is, 54)]; + TW = ri[WS(is, 22)]; + T3S = TV - TW; + T2Y = ii[WS(is, 54)]; + T2Z = ii[WS(is, 22)]; + T3T = T2Y - T2Z; + TX = TV + TW; + T44 = T3S + T3T; + T30 = T2Y + T2Z; + T3U = T3S - T3T; + } + { + E TS, TT, T3V, T2V, T2W, T3W; + TS = ri[WS(is, 6)]; + TT = ri[WS(is, 38)]; + T3V = TS - TT; + T2V = ii[WS(is, 6)]; + T2W = ii[WS(is, 38)]; + T3W = T2V - T2W; + TU = TS + TT; + T43 = T3W - T3V; + T2X = T2V + T2W; + T3X = T3V + T3W; + } + } + { + E TR, TY, Tax, Tay; + TR = TN + TQ; + TY = TU + TX; + TZ = TR + TY; + Tdf = TR - TY; + Tax = T2Q - T2T; + Tay = TX - TU; + Taz = Tax - Tay; + Tch = Tay + Tax; + } + { + E TaA, TaB, T2U, T31; + TaA = TN - TQ; + TaB = T2X - T30; + TaC = TaA - TaB; + Tci = TaA + TaB; + T2U = T2Q + T2T; + T31 = T2X + T30; + T32 = T2U + T31; + Tdg = T2U - T31; + } + { + E T3R, T3Y, T7T, T7U; + T3R = T3P + T3Q; + T3Y = KP707106781 * (T3U - T3X); + T3Z = T3R - T3Y; + T6J = T3R + T3Y; + T7T = T40 + T41; + T7U = KP707106781 * (T3X + T3U); + T7V = T7T - T7U; + T9n = T7T + T7U; + } + { + E T7W, T7X, T42, T45; + T7W = T3Q - T3P; + T7X = KP707106781 * (T43 + T44); + T7Y = T7W - T7X; + T9o = T7W + T7X; + T42 = T40 - T41; + T45 = KP707106781 * (T43 - T44); + T46 = T42 - T45; + T6K = T42 + T45; + } + } + { + E T14, T4P, T4d, TaG, T17, T4a, T4S, TaH, T1e, TaZ, T4j, T4V, T1b, TaY, T4o; + E T4U; + { + E T12, T13, T4Q, T4R; + T12 = ri[WS(is, 1)]; + T13 = ri[WS(is, 33)]; + T14 = T12 + T13; + T4P = T12 - T13; + { + E T4b, T4c, T15, T16; + T4b = ii[WS(is, 1)]; + T4c = ii[WS(is, 33)]; + T4d = T4b - T4c; + TaG = T4b + T4c; + T15 = ri[WS(is, 17)]; + T16 = ri[WS(is, 49)]; + T17 = T15 + T16; + T4a = T15 - T16; + } + T4Q = ii[WS(is, 17)]; + T4R = ii[WS(is, 49)]; + T4S = T4Q - T4R; + TaH = T4Q + T4R; + { + E T1c, T1d, T4f, T4g, T4h, T4i; + T1c = ri[WS(is, 57)]; + T1d = ri[WS(is, 25)]; + T4f = T1c - T1d; + T4g = ii[WS(is, 57)]; + T4h = ii[WS(is, 25)]; + T4i = T4g - T4h; + T1e = T1c + T1d; + TaZ = T4g + T4h; + T4j = T4f - T4i; + T4V = T4f + T4i; + } + { + E T19, T1a, T4k, T4l, T4m, T4n; + T19 = ri[WS(is, 9)]; + T1a = ri[WS(is, 41)]; + T4k = T19 - T1a; + T4l = ii[WS(is, 9)]; + T4m = ii[WS(is, 41)]; + T4n = T4l - T4m; + T1b = T19 + T1a; + TaY = T4l + T4m; + T4o = T4k + T4n; + T4U = T4n - T4k; + } + } + { + E T18, T1f, TaX, Tb0; + T18 = T14 + T17; + T1f = T1b + T1e; + T1g = T18 + T1f; + Tdp = T18 - T1f; + TaX = T14 - T17; + Tb0 = TaY - TaZ; + Tb1 = TaX - Tb0; + Tcm = TaX + Tb0; + } + { + E Tdk, Tdl, T4e, T4p; + Tdk = TaG + TaH; + Tdl = TaY + TaZ; + Tdm = Tdk - Tdl; + Tej = Tdk + Tdl; + T4e = T4a + T4d; + T4p = KP707106781 * (T4j - T4o); + T4q = T4e - T4p; + T6R = T4e + T4p; + } + { + E T4T, T4W, T8d, T8e; + T4T = T4P - T4S; + T4W = KP707106781 * (T4U - T4V); + T4X = T4T - T4W; + T6O = T4T + T4W; + T8d = T4P + T4S; + T8e = KP707106781 * (T4o + T4j); + T8f = T8d - T8e; + T9s = T8d + T8e; + } + { + E TaI, TaJ, T82, T83; + TaI = TaG - TaH; + TaJ = T1e - T1b; + TaK = TaI - TaJ; + Tcp = TaJ + TaI; + T82 = T4d - T4a; + T83 = KP707106781 * (T4U + T4V); + T84 = T82 - T83; + T9v = T82 + T83; + } + } + { + E T1j, TaR, T1m, TaS, T4G, T4L, TaT, TaQ, T89, T88, T1q, TaM, T1t, TaN, T4v; + E T4A, TaO, TaL, T86, T85; + { + E T4H, T4F, T4C, T4K; + { + E T1h, T1i, T4D, T4E; + T1h = ri[WS(is, 5)]; + T1i = ri[WS(is, 37)]; + T1j = T1h + T1i; + T4H = T1h - T1i; + T4D = ii[WS(is, 5)]; + T4E = ii[WS(is, 37)]; + T4F = T4D - T4E; + TaR = T4D + T4E; + } + { + E T1k, T1l, T4I, T4J; + T1k = ri[WS(is, 21)]; + T1l = ri[WS(is, 53)]; + T1m = T1k + T1l; + T4C = T1k - T1l; + T4I = ii[WS(is, 21)]; + T4J = ii[WS(is, 53)]; + T4K = T4I - T4J; + TaS = T4I + T4J; + } + T4G = T4C + T4F; + T4L = T4H - T4K; + TaT = TaR - TaS; + TaQ = T1j - T1m; + T89 = T4H + T4K; + T88 = T4F - T4C; + } + { + E T4r, T4z, T4w, T4u; + { + E T1o, T1p, T4x, T4y; + T1o = ri[WS(is, 61)]; + T1p = ri[WS(is, 29)]; + T1q = T1o + T1p; + T4r = T1o - T1p; + T4x = ii[WS(is, 61)]; + T4y = ii[WS(is, 29)]; + T4z = T4x - T4y; + TaM = T4x + T4y; + } + { + E T1r, T1s, T4s, T4t; + T1r = ri[WS(is, 13)]; + T1s = ri[WS(is, 45)]; + T1t = T1r + T1s; + T4w = T1r - T1s; + T4s = ii[WS(is, 13)]; + T4t = ii[WS(is, 45)]; + T4u = T4s - T4t; + TaN = T4s + T4t; + } + T4v = T4r - T4u; + T4A = T4w + T4z; + TaO = TaM - TaN; + TaL = T1q - T1t; + T86 = T4z - T4w; + T85 = T4r + T4u; + } + { + E T1n, T1u, Tb2, Tb3; + T1n = T1j + T1m; + T1u = T1q + T1t; + T1v = T1n + T1u; + Tdn = T1u - T1n; + Tb2 = TaT - TaQ; + Tb3 = TaL + TaO; + Tb4 = KP707106781 * (Tb2 - Tb3); + Tcq = KP707106781 * (Tb2 + Tb3); + } + { + E Tdq, Tdr, T4B, T4M; + Tdq = TaR + TaS; + Tdr = TaM + TaN; + Tds = Tdq - Tdr; + Tek = Tdq + Tdr; + T4B = FNMS(KP923879532, T4A, KP382683432 * T4v); + T4M = FMA(KP923879532, T4G, KP382683432 * T4L); + T4N = T4B - T4M; + T6P = T4M + T4B; + } + { + E T4Y, T4Z, T8g, T8h; + T4Y = FNMS(KP923879532, T4L, KP382683432 * T4G); + T4Z = FMA(KP382683432, T4A, KP923879532 * T4v); + T50 = T4Y - T4Z; + T6S = T4Y + T4Z; + T8g = FNMS(KP382683432, T89, KP923879532 * T88); + T8h = FMA(KP923879532, T86, KP382683432 * T85); + T8i = T8g - T8h; + T9w = T8g + T8h; + } + { + E TaP, TaU, T87, T8a; + TaP = TaL - TaO; + TaU = TaQ + TaT; + TaV = KP707106781 * (TaP - TaU); + Tcn = KP707106781 * (TaU + TaP); + T87 = FNMS(KP382683432, T86, KP923879532 * T85); + T8a = FMA(KP382683432, T88, KP923879532 * T89); + T8b = T87 - T8a; + T9t = T8a + T87; + } + } + { + E T1O, Tbc, T1R, Tbd, T5o, T5t, Tbf, Tbe, T8p, T8o, T1V, Tbi, T1Y, Tbj, T5z; + E T5E, Tbk, Tbh, T8s, T8r; + { + E T5p, T5n, T5k, T5s; + { + E T1M, T1N, T5l, T5m; + T1M = ri[WS(is, 3)]; + T1N = ri[WS(is, 35)]; + T1O = T1M + T1N; + T5p = T1M - T1N; + T5l = ii[WS(is, 3)]; + T5m = ii[WS(is, 35)]; + T5n = T5l - T5m; + Tbc = T5l + T5m; + } + { + E T1P, T1Q, T5q, T5r; + T1P = ri[WS(is, 19)]; + T1Q = ri[WS(is, 51)]; + T1R = T1P + T1Q; + T5k = T1P - T1Q; + T5q = ii[WS(is, 19)]; + T5r = ii[WS(is, 51)]; + T5s = T5q - T5r; + Tbd = T5q + T5r; + } + T5o = T5k + T5n; + T5t = T5p - T5s; + Tbf = T1O - T1R; + Tbe = Tbc - Tbd; + T8p = T5p + T5s; + T8o = T5n - T5k; + } + { + E T5A, T5y, T5v, T5D; + { + E T1T, T1U, T5w, T5x; + T1T = ri[WS(is, 59)]; + T1U = ri[WS(is, 27)]; + T1V = T1T + T1U; + T5A = T1T - T1U; + T5w = ii[WS(is, 59)]; + T5x = ii[WS(is, 27)]; + T5y = T5w - T5x; + Tbi = T5w + T5x; + } + { + E T1W, T1X, T5B, T5C; + T1W = ri[WS(is, 11)]; + T1X = ri[WS(is, 43)]; + T1Y = T1W + T1X; + T5v = T1W - T1X; + T5B = ii[WS(is, 11)]; + T5C = ii[WS(is, 43)]; + T5D = T5B - T5C; + Tbj = T5B + T5C; + } + T5z = T5v + T5y; + T5E = T5A - T5D; + Tbk = Tbi - Tbj; + Tbh = T1V - T1Y; + T8s = T5A + T5D; + T8r = T5y - T5v; + } + { + E T1S, T1Z, Tbt, Tbu; + T1S = T1O + T1R; + T1Z = T1V + T1Y; + T20 = T1S + T1Z; + TdD = T1Z - T1S; + Tbt = Tbh - Tbk; + Tbu = Tbf + Tbe; + Tbv = KP707106781 * (Tbt - Tbu); + Tcu = KP707106781 * (Tbu + Tbt); + } + { + E Tdw, Tdx, T5u, T5F; + Tdw = Tbc + Tbd; + Tdx = Tbi + Tbj; + Tdy = Tdw - Tdx; + Tep = Tdw + Tdx; + T5u = FNMS(KP923879532, T5t, KP382683432 * T5o); + T5F = FMA(KP382683432, T5z, KP923879532 * T5E); + T5G = T5u - T5F; + T6Z = T5u + T5F; + } + { + E T5R, T5S, T8z, T8A; + T5R = FNMS(KP923879532, T5z, KP382683432 * T5E); + T5S = FMA(KP923879532, T5o, KP382683432 * T5t); + T5T = T5R - T5S; + T6W = T5S + T5R; + T8z = FNMS(KP382683432, T8r, KP923879532 * T8s); + T8A = FMA(KP382683432, T8o, KP923879532 * T8p); + T8B = T8z - T8A; + T9A = T8A + T8z; + } + { + E Tbg, Tbl, T8q, T8t; + Tbg = Tbe - Tbf; + Tbl = Tbh + Tbk; + Tbm = KP707106781 * (Tbg - Tbl); + Tcx = KP707106781 * (Tbg + Tbl); + T8q = FNMS(KP382683432, T8p, KP923879532 * T8o); + T8t = FMA(KP923879532, T8r, KP382683432 * T8s); + T8u = T8q - T8t; + T9D = T8q + T8t; + } + } + { + E T11, TeD, TeG, TeI, T22, T23, T34, TeH; + { + E Tv, T10, TeE, TeF; + Tv = Tf + Tu; + T10 = TK + TZ; + T11 = Tv + T10; + TeD = Tv - T10; + TeE = Tej + Tek; + TeF = Teo + Tep; + TeG = TeE - TeF; + TeI = TeE + TeF; + } + { + E T1w, T21, T2y, T33; + T1w = T1g + T1v; + T21 = T1L + T20; + T22 = T1w + T21; + T23 = T21 - T1w; + T2y = T2i + T2x; + T33 = T2N + T32; + T34 = T2y - T33; + TeH = T2y + T33; + } + ro[WS(os, 32)] = T11 - T22; + io[WS(os, 32)] = TeH - TeI; + ro[0] = T11 + T22; + io[0] = TeH + TeI; + io[WS(os, 16)] = T23 + T34; + ro[WS(os, 16)] = TeD + TeG; + io[WS(os, 48)] = T34 - T23; + ro[WS(os, 48)] = TeD - TeG; + } + { + E Teh, Tex, Tev, TeB, Tem, Tey, Ter, Tez; + { + E Tef, Teg, Tet, Teu; + Tef = Tf - Tu; + Teg = T2N - T32; + Teh = Tef + Teg; + Tex = Tef - Teg; + Tet = T2i - T2x; + Teu = TZ - TK; + Tev = Tet - Teu; + TeB = Teu + Tet; + } + { + E Tei, Tel, Ten, Teq; + Tei = T1g - T1v; + Tel = Tej - Tek; + Tem = Tei + Tel; + Tey = Tel - Tei; + Ten = T1L - T20; + Teq = Teo - Tep; + Ter = Ten - Teq; + Tez = Ten + Teq; + } + { + E Tes, TeC, Tew, TeA; + Tes = KP707106781 * (Tem + Ter); + ro[WS(os, 40)] = Teh - Tes; + ro[WS(os, 8)] = Teh + Tes; + TeC = KP707106781 * (Tey + Tez); + io[WS(os, 40)] = TeB - TeC; + io[WS(os, 8)] = TeB + TeC; + Tew = KP707106781 * (Ter - Tem); + io[WS(os, 56)] = Tev - Tew; + io[WS(os, 24)] = Tev + Tew; + TeA = KP707106781 * (Tey - Tez); + ro[WS(os, 56)] = Tex - TeA; + ro[WS(os, 24)] = Tex + TeA; + } + } + { + E Tdb, TdV, Te5, TdJ, Tdi, Te6, Te3, Teb, TdM, TdW, Tdu, TdQ, Te0, Tea, TdF; + E TdR; + { + E Tde, Tdh, Tdo, Tdt; + Tdb = Td9 - Tda; + TdV = Td9 + Tda; + Te5 = TdI + TdH; + TdJ = TdH - TdI; + Tde = Tdc - Tdd; + Tdh = Tdf + Tdg; + Tdi = KP707106781 * (Tde - Tdh); + Te6 = KP707106781 * (Tde + Tdh); + { + E Te1, Te2, TdK, TdL; + Te1 = Tdv + Tdy; + Te2 = TdD + TdC; + Te3 = FNMS(KP382683432, Te2, KP923879532 * Te1); + Teb = FMA(KP923879532, Te2, KP382683432 * Te1); + TdK = Tdf - Tdg; + TdL = Tdd + Tdc; + TdM = KP707106781 * (TdK - TdL); + TdW = KP707106781 * (TdL + TdK); + } + Tdo = Tdm - Tdn; + Tdt = Tdp - Tds; + Tdu = FMA(KP923879532, Tdo, KP382683432 * Tdt); + TdQ = FNMS(KP923879532, Tdt, KP382683432 * Tdo); + { + E TdY, TdZ, Tdz, TdE; + TdY = Tdn + Tdm; + TdZ = Tdp + Tds; + Te0 = FMA(KP382683432, TdY, KP923879532 * TdZ); + Tea = FNMS(KP382683432, TdZ, KP923879532 * TdY); + Tdz = Tdv - Tdy; + TdE = TdC - TdD; + TdF = FNMS(KP923879532, TdE, KP382683432 * Tdz); + TdR = FMA(KP382683432, TdE, KP923879532 * Tdz); + } + } + { + E Tdj, TdG, TdT, TdU; + Tdj = Tdb + Tdi; + TdG = Tdu + TdF; + ro[WS(os, 44)] = Tdj - TdG; + ro[WS(os, 12)] = Tdj + TdG; + TdT = TdJ + TdM; + TdU = TdQ + TdR; + io[WS(os, 44)] = TdT - TdU; + io[WS(os, 12)] = TdT + TdU; + } + { + E TdN, TdO, TdP, TdS; + TdN = TdJ - TdM; + TdO = TdF - Tdu; + io[WS(os, 60)] = TdN - TdO; + io[WS(os, 28)] = TdN + TdO; + TdP = Tdb - Tdi; + TdS = TdQ - TdR; + ro[WS(os, 60)] = TdP - TdS; + ro[WS(os, 28)] = TdP + TdS; + } + { + E TdX, Te4, Ted, Tee; + TdX = TdV + TdW; + Te4 = Te0 + Te3; + ro[WS(os, 36)] = TdX - Te4; + ro[WS(os, 4)] = TdX + Te4; + Ted = Te5 + Te6; + Tee = Tea + Teb; + io[WS(os, 36)] = Ted - Tee; + io[WS(os, 4)] = Ted + Tee; + } + { + E Te7, Te8, Te9, Tec; + Te7 = Te5 - Te6; + Te8 = Te3 - Te0; + io[WS(os, 52)] = Te7 - Te8; + io[WS(os, 20)] = Te7 + Te8; + Te9 = TdV - TdW; + Tec = Tea - Teb; + ro[WS(os, 52)] = Te9 - Tec; + ro[WS(os, 20)] = Te9 + Tec; + } + } + { + E Tcd, TcP, TcD, TcZ, Tck, Td0, TcX, Td5, Tcs, TcK, TcG, TcQ, TcU, Td4, Tcz; + E TcL, Tcc, TcC; + Tcc = KP707106781 * (TbD + TbC); + Tcd = Tcb - Tcc; + TcP = Tcb + Tcc; + TcC = KP707106781 * (Tak + Tan); + TcD = TcB - TcC; + TcZ = TcB + TcC; + { + E Tcg, Tcj, TcV, TcW; + Tcg = FNMS(KP382683432, Tcf, KP923879532 * Tce); + Tcj = FMA(KP923879532, Tch, KP382683432 * Tci); + Tck = Tcg - Tcj; + Td0 = Tcg + Tcj; + TcV = Tct + Tcu; + TcW = Tcw + Tcx; + TcX = FNMS(KP195090322, TcW, KP980785280 * TcV); + Td5 = FMA(KP195090322, TcV, KP980785280 * TcW); + } + { + E Tco, Tcr, TcE, TcF; + Tco = Tcm - Tcn; + Tcr = Tcp - Tcq; + Tcs = FMA(KP555570233, Tco, KP831469612 * Tcr); + TcK = FNMS(KP831469612, Tco, KP555570233 * Tcr); + TcE = FNMS(KP382683432, Tch, KP923879532 * Tci); + TcF = FMA(KP382683432, Tce, KP923879532 * Tcf); + TcG = TcE - TcF; + TcQ = TcF + TcE; + } + { + E TcS, TcT, Tcv, Tcy; + TcS = Tcm + Tcn; + TcT = Tcp + Tcq; + TcU = FMA(KP980785280, TcS, KP195090322 * TcT); + Td4 = FNMS(KP195090322, TcS, KP980785280 * TcT); + Tcv = Tct - Tcu; + Tcy = Tcw - Tcx; + Tcz = FNMS(KP831469612, Tcy, KP555570233 * Tcv); + TcL = FMA(KP831469612, Tcv, KP555570233 * Tcy); + } + { + E Tcl, TcA, TcN, TcO; + Tcl = Tcd + Tck; + TcA = Tcs + Tcz; + ro[WS(os, 42)] = Tcl - TcA; + ro[WS(os, 10)] = Tcl + TcA; + TcN = TcD + TcG; + TcO = TcK + TcL; + io[WS(os, 42)] = TcN - TcO; + io[WS(os, 10)] = TcN + TcO; + } + { + E TcH, TcI, TcJ, TcM; + TcH = TcD - TcG; + TcI = Tcz - Tcs; + io[WS(os, 58)] = TcH - TcI; + io[WS(os, 26)] = TcH + TcI; + TcJ = Tcd - Tck; + TcM = TcK - TcL; + ro[WS(os, 58)] = TcJ - TcM; + ro[WS(os, 26)] = TcJ + TcM; + } + { + E TcR, TcY, Td7, Td8; + TcR = TcP + TcQ; + TcY = TcU + TcX; + ro[WS(os, 34)] = TcR - TcY; + ro[WS(os, 2)] = TcR + TcY; + Td7 = TcZ + Td0; + Td8 = Td4 + Td5; + io[WS(os, 34)] = Td7 - Td8; + io[WS(os, 2)] = Td7 + Td8; + } + { + E Td1, Td2, Td3, Td6; + Td1 = TcZ - Td0; + Td2 = TcX - TcU; + io[WS(os, 50)] = Td1 - Td2; + io[WS(os, 18)] = Td1 + Td2; + Td3 = TcP - TcQ; + Td6 = Td4 - Td5; + ro[WS(os, 50)] = Td3 - Td6; + ro[WS(os, 18)] = Td3 + Td6; + } + } + { + E Tap, TbR, TbF, Tc1, TaE, Tc2, TbZ, Tc7, Tb6, TbM, TbI, TbS, TbW, Tc6, Tbx; + E TbN, Tao, TbE; + Tao = KP707106781 * (Tak - Tan); + Tap = Tah - Tao; + TbR = Tah + Tao; + TbE = KP707106781 * (TbC - TbD); + TbF = TbB - TbE; + Tc1 = TbB + TbE; + { + E Taw, TaD, TbX, TbY; + Taw = FNMS(KP923879532, Tav, KP382683432 * Tas); + TaD = FMA(KP382683432, Taz, KP923879532 * TaC); + TaE = Taw - TaD; + Tc2 = Taw + TaD; + TbX = Tbb + Tbm; + TbY = Tbs + Tbv; + TbZ = FNMS(KP555570233, TbY, KP831469612 * TbX); + Tc7 = FMA(KP831469612, TbY, KP555570233 * TbX); + } + { + E TaW, Tb5, TbG, TbH; + TaW = TaK - TaV; + Tb5 = Tb1 - Tb4; + Tb6 = FMA(KP980785280, TaW, KP195090322 * Tb5); + TbM = FNMS(KP980785280, Tb5, KP195090322 * TaW); + TbG = FNMS(KP923879532, Taz, KP382683432 * TaC); + TbH = FMA(KP923879532, Tas, KP382683432 * Tav); + TbI = TbG - TbH; + TbS = TbH + TbG; + } + { + E TbU, TbV, Tbn, Tbw; + TbU = TaK + TaV; + TbV = Tb1 + Tb4; + TbW = FMA(KP555570233, TbU, KP831469612 * TbV); + Tc6 = FNMS(KP555570233, TbV, KP831469612 * TbU); + Tbn = Tbb - Tbm; + Tbw = Tbs - Tbv; + Tbx = FNMS(KP980785280, Tbw, KP195090322 * Tbn); + TbN = FMA(KP195090322, Tbw, KP980785280 * Tbn); + } + { + E TaF, Tby, TbP, TbQ; + TaF = Tap + TaE; + Tby = Tb6 + Tbx; + ro[WS(os, 46)] = TaF - Tby; + ro[WS(os, 14)] = TaF + Tby; + TbP = TbF + TbI; + TbQ = TbM + TbN; + io[WS(os, 46)] = TbP - TbQ; + io[WS(os, 14)] = TbP + TbQ; + } + { + E TbJ, TbK, TbL, TbO; + TbJ = TbF - TbI; + TbK = Tbx - Tb6; + io[WS(os, 62)] = TbJ - TbK; + io[WS(os, 30)] = TbJ + TbK; + TbL = Tap - TaE; + TbO = TbM - TbN; + ro[WS(os, 62)] = TbL - TbO; + ro[WS(os, 30)] = TbL + TbO; + } + { + E TbT, Tc0, Tc9, Tca; + TbT = TbR + TbS; + Tc0 = TbW + TbZ; + ro[WS(os, 38)] = TbT - Tc0; + ro[WS(os, 6)] = TbT + Tc0; + Tc9 = Tc1 + Tc2; + Tca = Tc6 + Tc7; + io[WS(os, 38)] = Tc9 - Tca; + io[WS(os, 6)] = Tc9 + Tca; + } + { + E Tc3, Tc4, Tc5, Tc8; + Tc3 = Tc1 - Tc2; + Tc4 = TbZ - TbW; + io[WS(os, 54)] = Tc3 - Tc4; + io[WS(os, 22)] = Tc3 + Tc4; + Tc5 = TbR - TbS; + Tc8 = Tc6 - Tc7; + ro[WS(os, 54)] = Tc5 - Tc8; + ro[WS(os, 22)] = Tc5 + Tc8; + } + } + { + E T6F, T7h, T7m, T7w, T7p, T7x, T6M, T7s, T6U, T7c, T75, T7r, T78, T7i, T71; + E T7d; + { + E T6D, T6E, T7k, T7l; + T6D = T37 + T3e; + T6E = T65 + T64; + T6F = T6D - T6E; + T7h = T6D + T6E; + T7k = T6O + T6P; + T7l = T6R + T6S; + T7m = FMA(KP956940335, T7k, KP290284677 * T7l); + T7w = FNMS(KP290284677, T7k, KP956940335 * T7l); + } + { + E T7n, T7o, T6I, T6L; + T7n = T6V + T6W; + T7o = T6Y + T6Z; + T7p = FNMS(KP290284677, T7o, KP956940335 * T7n); + T7x = FMA(KP290284677, T7n, KP956940335 * T7o); + T6I = FNMS(KP555570233, T6H, KP831469612 * T6G); + T6L = FMA(KP831469612, T6J, KP555570233 * T6K); + T6M = T6I - T6L; + T7s = T6I + T6L; + } + { + E T6Q, T6T, T73, T74; + T6Q = T6O - T6P; + T6T = T6R - T6S; + T6U = FMA(KP471396736, T6Q, KP881921264 * T6T); + T7c = FNMS(KP881921264, T6Q, KP471396736 * T6T); + T73 = T5Z + T62; + T74 = T3m + T3t; + T75 = T73 - T74; + T7r = T73 + T74; + } + { + E T76, T77, T6X, T70; + T76 = FNMS(KP555570233, T6J, KP831469612 * T6K); + T77 = FMA(KP555570233, T6G, KP831469612 * T6H); + T78 = T76 - T77; + T7i = T77 + T76; + T6X = T6V - T6W; + T70 = T6Y - T6Z; + T71 = FNMS(KP881921264, T70, KP471396736 * T6X); + T7d = FMA(KP881921264, T6X, KP471396736 * T70); + } + { + E T6N, T72, T7f, T7g; + T6N = T6F + T6M; + T72 = T6U + T71; + ro[WS(os, 43)] = T6N - T72; + ro[WS(os, 11)] = T6N + T72; + T7f = T75 + T78; + T7g = T7c + T7d; + io[WS(os, 43)] = T7f - T7g; + io[WS(os, 11)] = T7f + T7g; + } + { + E T79, T7a, T7b, T7e; + T79 = T75 - T78; + T7a = T71 - T6U; + io[WS(os, 59)] = T79 - T7a; + io[WS(os, 27)] = T79 + T7a; + T7b = T6F - T6M; + T7e = T7c - T7d; + ro[WS(os, 59)] = T7b - T7e; + ro[WS(os, 27)] = T7b + T7e; + } + { + E T7j, T7q, T7z, T7A; + T7j = T7h + T7i; + T7q = T7m + T7p; + ro[WS(os, 35)] = T7j - T7q; + ro[WS(os, 3)] = T7j + T7q; + T7z = T7r + T7s; + T7A = T7w + T7x; + io[WS(os, 35)] = T7z - T7A; + io[WS(os, 3)] = T7z + T7A; + } + { + E T7t, T7u, T7v, T7y; + T7t = T7r - T7s; + T7u = T7p - T7m; + io[WS(os, 51)] = T7t - T7u; + io[WS(os, 19)] = T7t + T7u; + T7v = T7h - T7i; + T7y = T7w - T7x; + ro[WS(os, 51)] = T7v - T7y; + ro[WS(os, 19)] = T7v + T7y; + } + } + { + E T9j, T9V, Ta0, Taa, Ta3, Tab, T9q, Ta6, T9y, T9Q, T9J, Ta5, T9M, T9W, T9F; + E T9R; + { + E T9h, T9i, T9Y, T9Z; + T9h = T7B + T7C; + T9i = T8J + T8I; + T9j = T9h - T9i; + T9V = T9h + T9i; + T9Y = T9s + T9t; + T9Z = T9v + T9w; + Ta0 = FMA(KP995184726, T9Y, KP098017140 * T9Z); + Taa = FNMS(KP098017140, T9Y, KP995184726 * T9Z); + } + { + E Ta1, Ta2, T9m, T9p; + Ta1 = T9z + T9A; + Ta2 = T9C + T9D; + Ta3 = FNMS(KP098017140, Ta2, KP995184726 * Ta1); + Tab = FMA(KP098017140, Ta1, KP995184726 * Ta2); + T9m = FNMS(KP195090322, T9l, KP980785280 * T9k); + T9p = FMA(KP195090322, T9n, KP980785280 * T9o); + T9q = T9m - T9p; + Ta6 = T9m + T9p; + } + { + E T9u, T9x, T9H, T9I; + T9u = T9s - T9t; + T9x = T9v - T9w; + T9y = FMA(KP634393284, T9u, KP773010453 * T9x); + T9Q = FNMS(KP773010453, T9u, KP634393284 * T9x); + T9H = T8F + T8G; + T9I = T7G + T7J; + T9J = T9H - T9I; + Ta5 = T9H + T9I; + } + { + E T9K, T9L, T9B, T9E; + T9K = FNMS(KP195090322, T9o, KP980785280 * T9n); + T9L = FMA(KP980785280, T9l, KP195090322 * T9k); + T9M = T9K - T9L; + T9W = T9L + T9K; + T9B = T9z - T9A; + T9E = T9C - T9D; + T9F = FNMS(KP773010453, T9E, KP634393284 * T9B); + T9R = FMA(KP773010453, T9B, KP634393284 * T9E); + } + { + E T9r, T9G, T9T, T9U; + T9r = T9j + T9q; + T9G = T9y + T9F; + ro[WS(os, 41)] = T9r - T9G; + ro[WS(os, 9)] = T9r + T9G; + T9T = T9J + T9M; + T9U = T9Q + T9R; + io[WS(os, 41)] = T9T - T9U; + io[WS(os, 9)] = T9T + T9U; + } + { + E T9N, T9O, T9P, T9S; + T9N = T9J - T9M; + T9O = T9F - T9y; + io[WS(os, 57)] = T9N - T9O; + io[WS(os, 25)] = T9N + T9O; + T9P = T9j - T9q; + T9S = T9Q - T9R; + ro[WS(os, 57)] = T9P - T9S; + ro[WS(os, 25)] = T9P + T9S; + } + { + E T9X, Ta4, Tad, Tae; + T9X = T9V + T9W; + Ta4 = Ta0 + Ta3; + ro[WS(os, 33)] = T9X - Ta4; + ro[WS(os, 1)] = T9X + Ta4; + Tad = Ta5 + Ta6; + Tae = Taa + Tab; + io[WS(os, 33)] = Tad - Tae; + io[WS(os, 1)] = Tad + Tae; + } + { + E Ta7, Ta8, Ta9, Tac; + Ta7 = Ta5 - Ta6; + Ta8 = Ta3 - Ta0; + io[WS(os, 49)] = Ta7 - Ta8; + io[WS(os, 17)] = Ta7 + Ta8; + Ta9 = T9V - T9W; + Tac = Taa - Tab; + ro[WS(os, 49)] = Ta9 - Tac; + ro[WS(os, 17)] = Ta9 + Tac; + } + } + { + E T3v, T6j, T6o, T6y, T6r, T6z, T48, T6u, T52, T6e, T67, T6t, T6a, T6k, T5V; + E T6f; + { + E T3f, T3u, T6m, T6n; + T3f = T37 - T3e; + T3u = T3m - T3t; + T3v = T3f - T3u; + T6j = T3f + T3u; + T6m = T4q + T4N; + T6n = T4X + T50; + T6o = FMA(KP634393284, T6m, KP773010453 * T6n); + T6y = FNMS(KP634393284, T6n, KP773010453 * T6m); + } + { + E T6p, T6q, T3O, T47; + T6p = T5j + T5G; + T6q = T5Q + T5T; + T6r = FNMS(KP634393284, T6q, KP773010453 * T6p); + T6z = FMA(KP773010453, T6q, KP634393284 * T6p); + T3O = FNMS(KP980785280, T3N, KP195090322 * T3G); + T47 = FMA(KP195090322, T3Z, KP980785280 * T46); + T48 = T3O - T47; + T6u = T3O + T47; + } + { + E T4O, T51, T63, T66; + T4O = T4q - T4N; + T51 = T4X - T50; + T52 = FMA(KP995184726, T4O, KP098017140 * T51); + T6e = FNMS(KP995184726, T51, KP098017140 * T4O); + T63 = T5Z - T62; + T66 = T64 - T65; + T67 = T63 - T66; + T6t = T63 + T66; + } + { + E T68, T69, T5H, T5U; + T68 = FNMS(KP980785280, T3Z, KP195090322 * T46); + T69 = FMA(KP980785280, T3G, KP195090322 * T3N); + T6a = T68 - T69; + T6k = T69 + T68; + T5H = T5j - T5G; + T5U = T5Q - T5T; + T5V = FNMS(KP995184726, T5U, KP098017140 * T5H); + T6f = FMA(KP098017140, T5U, KP995184726 * T5H); + } + { + E T49, T5W, T6h, T6i; + T49 = T3v + T48; + T5W = T52 + T5V; + ro[WS(os, 47)] = T49 - T5W; + ro[WS(os, 15)] = T49 + T5W; + T6h = T67 + T6a; + T6i = T6e + T6f; + io[WS(os, 47)] = T6h - T6i; + io[WS(os, 15)] = T6h + T6i; + } + { + E T6b, T6c, T6d, T6g; + T6b = T67 - T6a; + T6c = T5V - T52; + io[WS(os, 63)] = T6b - T6c; + io[WS(os, 31)] = T6b + T6c; + T6d = T3v - T48; + T6g = T6e - T6f; + ro[WS(os, 63)] = T6d - T6g; + ro[WS(os, 31)] = T6d + T6g; + } + { + E T6l, T6s, T6B, T6C; + T6l = T6j + T6k; + T6s = T6o + T6r; + ro[WS(os, 39)] = T6l - T6s; + ro[WS(os, 7)] = T6l + T6s; + T6B = T6t + T6u; + T6C = T6y + T6z; + io[WS(os, 39)] = T6B - T6C; + io[WS(os, 7)] = T6B + T6C; + } + { + E T6v, T6w, T6x, T6A; + T6v = T6t - T6u; + T6w = T6r - T6o; + io[WS(os, 55)] = T6v - T6w; + io[WS(os, 23)] = T6v + T6w; + T6x = T6j - T6k; + T6A = T6y - T6z; + ro[WS(os, 55)] = T6x - T6A; + ro[WS(os, 23)] = T6x + T6A; + } + } + { + E T7L, T8X, T92, T9c, T95, T9d, T80, T98, T8k, T8S, T8L, T97, T8O, T8Y, T8D; + E T8T; + { + E T7D, T7K, T90, T91; + T7D = T7B - T7C; + T7K = T7G - T7J; + T7L = T7D - T7K; + T8X = T7D + T7K; + T90 = T84 + T8b; + T91 = T8f + T8i; + T92 = FMA(KP471396736, T90, KP881921264 * T91); + T9c = FNMS(KP471396736, T91, KP881921264 * T90); + } + { + E T93, T94, T7S, T7Z; + T93 = T8n + T8u; + T94 = T8y + T8B; + T95 = FNMS(KP471396736, T94, KP881921264 * T93); + T9d = FMA(KP881921264, T94, KP471396736 * T93); + T7S = FNMS(KP831469612, T7R, KP555570233 * T7O); + T7Z = FMA(KP831469612, T7V, KP555570233 * T7Y); + T80 = T7S - T7Z; + T98 = T7S + T7Z; + } + { + E T8c, T8j, T8H, T8K; + T8c = T84 - T8b; + T8j = T8f - T8i; + T8k = FMA(KP956940335, T8c, KP290284677 * T8j); + T8S = FNMS(KP956940335, T8j, KP290284677 * T8c); + T8H = T8F - T8G; + T8K = T8I - T8J; + T8L = T8H - T8K; + T97 = T8H + T8K; + } + { + E T8M, T8N, T8v, T8C; + T8M = FNMS(KP831469612, T7Y, KP555570233 * T7V); + T8N = FMA(KP555570233, T7R, KP831469612 * T7O); + T8O = T8M - T8N; + T8Y = T8N + T8M; + T8v = T8n - T8u; + T8C = T8y - T8B; + T8D = FNMS(KP956940335, T8C, KP290284677 * T8v); + T8T = FMA(KP290284677, T8C, KP956940335 * T8v); + } + { + E T81, T8E, T8V, T8W; + T81 = T7L + T80; + T8E = T8k + T8D; + ro[WS(os, 45)] = T81 - T8E; + ro[WS(os, 13)] = T81 + T8E; + T8V = T8L + T8O; + T8W = T8S + T8T; + io[WS(os, 45)] = T8V - T8W; + io[WS(os, 13)] = T8V + T8W; + } + { + E T8P, T8Q, T8R, T8U; + T8P = T8L - T8O; + T8Q = T8D - T8k; + io[WS(os, 61)] = T8P - T8Q; + io[WS(os, 29)] = T8P + T8Q; + T8R = T7L - T80; + T8U = T8S - T8T; + ro[WS(os, 61)] = T8R - T8U; + ro[WS(os, 29)] = T8R + T8U; + } + { + E T8Z, T96, T9f, T9g; + T8Z = T8X + T8Y; + T96 = T92 + T95; + ro[WS(os, 37)] = T8Z - T96; + ro[WS(os, 5)] = T8Z + T96; + T9f = T97 + T98; + T9g = T9c + T9d; + io[WS(os, 37)] = T9f - T9g; + io[WS(os, 5)] = T9f + T9g; + } + { + E T99, T9a, T9b, T9e; + T99 = T97 - T98; + T9a = T95 - T92; + io[WS(os, 53)] = T99 - T9a; + io[WS(os, 21)] = T99 + T9a; + T9b = T8X - T8Y; + T9e = T9c - T9d; + ro[WS(os, 53)] = T9b - T9e; + ro[WS(os, 21)] = T9b + T9e; + } + } + } +} + +static void m1_64(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; i -= 1) { + m1_64_0(ri, ii, ro, io, is, os); + ri += ivs; + ii += ivs; + ro += ovs; + io += ovs; + } +} + +static const kdft_desc desc = { 64, "m1_64", {808, 144, 104, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_m1_64) (planner *p) { + X(kdft_register) (p, m1_64, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_10.c b/src/fftw3/dft/codelets/standard/n1_10.c new file mode 100644 index 0000000..95fb984 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_10.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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 10 -name n1_10 -include n.h */ + +/* + * This function contains 84 FP additions, 24 FP multiplications, + * (or, 72 additions, 12 multiplications, 12 fused multiply/add), + * 41 stack variables, and 40 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_10.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_10.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_10.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_10(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, 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, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T3, Tj, TQ, T1e, TU, TV, T1c, T1b, Tm, Tp, Tq, Ta, Th, Ti, TA; + E TH, T17, T14, T1f, T1g, T1h, TL, TM, TR; + { + E T1, T2, TO, TP; + T1 = ri[0]; + T2 = ri[WS(is, 5)]; + T3 = T1 - T2; + Tj = T1 + T2; + TO = ii[0]; + TP = ii[WS(is, 5)]; + TQ = TO - TP; + T1e = TO + TP; + } + { + E T6, Tk, Tg, To, T9, Tl, Td, Tn; + { + E T4, T5, Te, Tf; + T4 = ri[WS(is, 2)]; + T5 = ri[WS(is, 7)]; + T6 = T4 - T5; + Tk = T4 + T5; + Te = ri[WS(is, 6)]; + Tf = ri[WS(is, 1)]; + Tg = Te - Tf; + To = Te + Tf; + } + { + E T7, T8, Tb, Tc; + T7 = ri[WS(is, 8)]; + T8 = ri[WS(is, 3)]; + T9 = T7 - T8; + Tl = T7 + T8; + Tb = ri[WS(is, 4)]; + Tc = ri[WS(is, 9)]; + Td = Tb - Tc; + Tn = Tb + Tc; + } + TU = T6 - T9; + TV = Td - Tg; + T1c = Tk - Tl; + T1b = Tn - To; + Tm = Tk + Tl; + Tp = Tn + To; + Tq = Tm + Tp; + Ta = T6 + T9; + Th = Td + Tg; + Ti = Ta + Th; + } + { + E Tw, T15, TG, T13, Tz, T16, TD, T12; + { + E Tu, Tv, TE, TF; + Tu = ii[WS(is, 2)]; + Tv = ii[WS(is, 7)]; + Tw = Tu - Tv; + T15 = Tu + Tv; + TE = ii[WS(is, 6)]; + TF = ii[WS(is, 1)]; + TG = TE - TF; + T13 = TE + TF; + } + { + E Tx, Ty, TB, TC; + Tx = ii[WS(is, 8)]; + Ty = ii[WS(is, 3)]; + Tz = Tx - Ty; + T16 = Tx + Ty; + TB = ii[WS(is, 4)]; + TC = ii[WS(is, 9)]; + TD = TB - TC; + T12 = TB + TC; + } + TA = Tw - Tz; + TH = TD - TG; + T17 = T15 - T16; + T14 = T12 - T13; + T1f = T15 + T16; + T1g = T12 + T13; + T1h = T1f + T1g; + TL = Tw + Tz; + TM = TD + TG; + TR = TL + TM; + } + ro[WS(os, 5)] = T3 + Ti; + io[WS(os, 5)] = TQ + TR; + ro[0] = Tj + Tq; + io[0] = T1e + T1h; + { + E TI, TK, Tt, TJ, Tr, Ts; + TI = FMA(KP951056516, TA, KP587785252 * TH); + TK = FNMS(KP587785252, TA, KP951056516 * TH); + Tr = KP559016994 * (Ta - Th); + Ts = FNMS(KP250000000, Ti, T3); + Tt = Tr + Ts; + TJ = Ts - Tr; + ro[WS(os, 9)] = Tt - TI; + ro[WS(os, 3)] = TJ + TK; + ro[WS(os, 1)] = Tt + TI; + ro[WS(os, 7)] = TJ - TK; + } + { + E TW, TY, TT, TX, TN, TS; + TW = FMA(KP951056516, TU, KP587785252 * TV); + TY = FNMS(KP587785252, TU, KP951056516 * TV); + TN = KP559016994 * (TL - TM); + TS = FNMS(KP250000000, TR, TQ); + TT = TN + TS; + TX = TS - TN; + io[WS(os, 1)] = TT - TW; + io[WS(os, 7)] = TY + TX; + io[WS(os, 9)] = TW + TT; + io[WS(os, 3)] = TX - TY; + } + { + E T18, T1a, T11, T19, TZ, T10; + T18 = FNMS(KP587785252, T17, KP951056516 * T14); + T1a = FMA(KP951056516, T17, KP587785252 * T14); + TZ = FNMS(KP250000000, Tq, Tj); + T10 = KP559016994 * (Tm - Tp); + T11 = TZ - T10; + T19 = T10 + TZ; + ro[WS(os, 2)] = T11 - T18; + ro[WS(os, 6)] = T19 + T1a; + ro[WS(os, 8)] = T11 + T18; + ro[WS(os, 4)] = T19 - T1a; + } + { + E T1d, T1l, T1k, T1m, T1i, T1j; + T1d = FNMS(KP587785252, T1c, KP951056516 * T1b); + T1l = FMA(KP951056516, T1c, KP587785252 * T1b); + T1i = FNMS(KP250000000, T1h, T1e); + T1j = KP559016994 * (T1f - T1g); + T1k = T1i - T1j; + T1m = T1j + T1i; + io[WS(os, 2)] = T1d + T1k; + io[WS(os, 6)] = T1m - T1l; + io[WS(os, 8)] = T1k - T1d; + io[WS(os, 4)] = T1l + T1m; + } + } +} + +static const kdft_desc desc = { 10, "n1_10", {72, 12, 12, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_10) (planner *p) { + X(kdft_register) (p, n1_10, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_11.c b/src/fftw3/dft/codelets/standard/n1_11.c new file mode 100644 index 0000000..29e8049 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_11.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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 11 -name n1_11 -include n.h */ + +/* + * This function contains 140 FP additions, 100 FP multiplications, + * (or, 60 additions, 20 multiplications, 80 fused multiply/add), + * 41 stack variables, and 44 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_11.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_11.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_11.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_11(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, 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, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T1, TM, T4, TG, Tk, TR, Tw, TN, T7, TK, Ta, TH, Tn, TQ, Td; + E TJ, Tq, TO, Tt, TP, Tg, TI; + { + E T2, T3, Ti, Tj; + T1 = ri[0]; + TM = ii[0]; + T2 = ri[WS(is, 1)]; + T3 = ri[WS(is, 10)]; + T4 = T2 + T3; + TG = T3 - T2; + Ti = ii[WS(is, 1)]; + Tj = ii[WS(is, 10)]; + Tk = Ti - Tj; + TR = Ti + Tj; + { + E Tu, Tv, T5, T6; + Tu = ii[WS(is, 2)]; + Tv = ii[WS(is, 9)]; + Tw = Tu - Tv; + TN = Tu + Tv; + T5 = ri[WS(is, 2)]; + T6 = ri[WS(is, 9)]; + T7 = T5 + T6; + TK = T6 - T5; + } + } + { + E T8, T9, To, Tp; + T8 = ri[WS(is, 3)]; + T9 = ri[WS(is, 8)]; + Ta = T8 + T9; + TH = T9 - T8; + { + E Tl, Tm, Tb, Tc; + Tl = ii[WS(is, 3)]; + Tm = ii[WS(is, 8)]; + Tn = Tl - Tm; + TQ = Tl + Tm; + Tb = ri[WS(is, 4)]; + Tc = ri[WS(is, 7)]; + Td = Tb + Tc; + TJ = Tc - Tb; + } + To = ii[WS(is, 4)]; + Tp = ii[WS(is, 7)]; + Tq = To - Tp; + TO = To + Tp; + { + E Tr, Ts, Te, Tf; + Tr = ii[WS(is, 5)]; + Ts = ii[WS(is, 6)]; + Tt = Tr - Ts; + TP = Tr + Ts; + Te = ri[WS(is, 5)]; + Tf = ri[WS(is, 6)]; + Tg = Te + Tf; + TI = Tf - Te; + } + } + { + E Tx, Th, TZ, T10; + ro[0] = T1 + T4 + T7 + Ta + Td + Tg; + io[0] = TM + TR + TN + TQ + TO + TP; + Tx = FMA(KP755749574, Tk, KP540640817 * Tn) + FNMS(KP909631995, Tt, KP281732556 * Tq) - (KP989821441 * Tw); + Th = FMA(KP841253532, Ta, T1) + FNMS(KP959492973, Td, KP415415013 * Tg) + FNMA(KP142314838, T7, KP654860733 * T4); + ro[WS(os, 7)] = Th - Tx; + ro[WS(os, 4)] = Th + Tx; + TZ = FMA(KP755749574, TG, KP540640817 * TH) + FNMS(KP909631995, TI, KP281732556 * TJ) - (KP989821441 * TK); + T10 = FMA(KP841253532, TQ, TM) + FNMS(KP959492973, TO, KP415415013 * TP) + FNMA(KP142314838, TN, KP654860733 * TR); + io[WS(os, 4)] = TZ + T10; + io[WS(os, 7)] = T10 - TZ; + { + E TX, TY, Tz, Ty; + TX = FMA(KP909631995, TG, KP755749574 * TK) + FNMA(KP540640817, TI, KP989821441 * TJ) - (KP281732556 * TH); + TY = FMA(KP415415013, TR, TM) + FNMS(KP142314838, TO, KP841253532 * TP) + FNMA(KP959492973, TQ, KP654860733 * TN); + io[WS(os, 2)] = TX + TY; + io[WS(os, 9)] = TY - TX; + Tz = FMA(KP909631995, Tk, KP755749574 * Tw) + FNMA(KP540640817, Tt, KP989821441 * Tq) - (KP281732556 * Tn); + Ty = FMA(KP415415013, T4, T1) + FNMS(KP142314838, Td, KP841253532 * Tg) + FNMA(KP959492973, Ta, KP654860733 * T7); + ro[WS(os, 9)] = Ty - Tz; + ro[WS(os, 2)] = Ty + Tz; + } + } + { + E TB, TA, TT, TU; + TB = FMA(KP540640817, Tk, KP909631995 * Tw) + FMA(KP989821441, Tn, KP755749574 * Tq) + (KP281732556 * Tt); + TA = FMA(KP841253532, T4, T1) + FNMS(KP959492973, Tg, KP415415013 * T7) + FNMA(KP654860733, Td, KP142314838 * Ta); + ro[WS(os, 10)] = TA - TB; + ro[WS(os, 1)] = TA + TB; + { + E TV, TW, TD, TC; + TV = FMA(KP540640817, TG, KP909631995 * TK) + FMA(KP989821441, TH, KP755749574 * TJ) + (KP281732556 * TI); + TW = FMA(KP841253532, TR, TM) + FNMS(KP959492973, TP, KP415415013 * TN) + FNMA(KP654860733, TO, KP142314838 * TQ); + io[WS(os, 1)] = TV + TW; + io[WS(os, 10)] = TW - TV; + TD = FMA(KP989821441, Tk, KP540640817 * Tq) + FNMS(KP909631995, Tn, KP755749574 * Tt) - (KP281732556 * Tw); + TC = FMA(KP415415013, Ta, T1) + FNMS(KP654860733, Tg, KP841253532 * Td) + FNMA(KP959492973, T7, KP142314838 * T4); + ro[WS(os, 8)] = TC - TD; + ro[WS(os, 3)] = TC + TD; + } + TT = FMA(KP989821441, TG, KP540640817 * TJ) + FNMS(KP909631995, TH, KP755749574 * TI) - (KP281732556 * TK); + TU = FMA(KP415415013, TQ, TM) + FNMS(KP654860733, TP, KP841253532 * TO) + FNMA(KP959492973, TN, KP142314838 * TR); + io[WS(os, 3)] = TT + TU; + io[WS(os, 8)] = TU - TT; + { + E TL, TS, TF, TE; + TL = FMA(KP281732556, TG, KP755749574 * TH) + FNMS(KP909631995, TJ, KP989821441 * TI) - (KP540640817 * TK); + TS = FMA(KP841253532, TN, TM) + FNMS(KP142314838, TP, KP415415013 * TO) + FNMA(KP654860733, TQ, KP959492973 * TR); + io[WS(os, 5)] = TL + TS; + io[WS(os, 6)] = TS - TL; + TF = FMA(KP281732556, Tk, KP755749574 * Tn) + FNMS(KP909631995, Tq, KP989821441 * Tt) - (KP540640817 * Tw); + TE = FMA(KP841253532, T7, T1) + FNMS(KP142314838, Tg, KP415415013 * Td) + FNMA(KP654860733, Ta, KP959492973 * T4); + ro[WS(os, 6)] = TE - TF; + ro[WS(os, 5)] = TE + TF; + } + } + } +} + +static const kdft_desc desc = { 11, "n1_11", {60, 20, 80, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_11) (planner *p) { + X(kdft_register) (p, n1_11, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_12.c b/src/fftw3/dft/codelets/standard/n1_12.c new file mode 100644 index 0000000..cced824 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_12.c @@ -0,0 +1,224 @@ +/* + * 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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 12 -name n1_12 -include n.h */ + +/* + * This function contains 96 FP additions, 16 FP multiplications, + * (or, 88 additions, 8 multiplications, 8 fused multiply/add), + * 43 stack variables, and 48 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_12.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_12.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_12.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_12(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T5, TR, TA, Ts, TS, Tz, Ta, TU, TD, Tx, TV, TC, Tg, T1a, TG; + E TJ, T1u, T1d, Tl, T1f, TL, TO, T1v, T1i; + { + E T1, T2, T3, T4; + T1 = ri[0]; + T2 = ri[WS(is, 4)]; + T3 = ri[WS(is, 8)]; + T4 = T2 + T3; + T5 = T1 + T4; + TR = FNMS(KP500000000, T4, T1); + TA = KP866025403 * (T3 - T2); + } + { + E To, Tp, Tq, Tr; + To = ii[0]; + Tp = ii[WS(is, 4)]; + Tq = ii[WS(is, 8)]; + Tr = Tp + Tq; + Ts = To + Tr; + TS = KP866025403 * (Tp - Tq); + Tz = FNMS(KP500000000, Tr, To); + } + { + E T6, T7, T8, T9; + T6 = ri[WS(is, 6)]; + T7 = ri[WS(is, 10)]; + T8 = ri[WS(is, 2)]; + T9 = T7 + T8; + Ta = T6 + T9; + TU = FNMS(KP500000000, T9, T6); + TD = KP866025403 * (T8 - T7); + } + { + E Tt, Tu, Tv, Tw; + Tt = ii[WS(is, 6)]; + Tu = ii[WS(is, 10)]; + Tv = ii[WS(is, 2)]; + Tw = Tu + Tv; + Tx = Tt + Tw; + TV = KP866025403 * (Tu - Tv); + TC = FNMS(KP500000000, Tw, Tt); + } + { + E Tc, Td, Te, Tf; + Tc = ri[WS(is, 3)]; + Td = ri[WS(is, 7)]; + Te = ri[WS(is, 11)]; + Tf = Td + Te; + Tg = Tc + Tf; + T1a = KP866025403 * (Te - Td); + TG = FNMS(KP500000000, Tf, Tc); + } + { + E T1b, TH, TI, T1c; + T1b = ii[WS(is, 3)]; + TH = ii[WS(is, 7)]; + TI = ii[WS(is, 11)]; + T1c = TH + TI; + TJ = KP866025403 * (TH - TI); + T1u = T1b + T1c; + T1d = FNMS(KP500000000, T1c, T1b); + } + { + E Th, Ti, Tj, Tk; + Th = ri[WS(is, 9)]; + Ti = ri[WS(is, 1)]; + Tj = ri[WS(is, 5)]; + Tk = Ti + Tj; + Tl = Th + Tk; + T1f = KP866025403 * (Tj - Ti); + TL = FNMS(KP500000000, Tk, Th); + } + { + E T1g, TM, TN, T1h; + T1g = ii[WS(is, 9)]; + TM = ii[WS(is, 1)]; + TN = ii[WS(is, 5)]; + T1h = TM + TN; + TO = KP866025403 * (TM - TN); + T1v = T1g + T1h; + T1i = FNMS(KP500000000, T1h, T1g); + } + { + E Tb, Tm, T1t, T1w; + Tb = T5 + Ta; + Tm = Tg + Tl; + ro[WS(os, 6)] = Tb - Tm; + ro[0] = Tb + Tm; + { + E T1x, T1y, Tn, Ty; + T1x = Ts + Tx; + T1y = T1u + T1v; + io[WS(os, 6)] = T1x - T1y; + io[0] = T1x + T1y; + Tn = Tg - Tl; + Ty = Ts - Tx; + io[WS(os, 3)] = Tn + Ty; + io[WS(os, 9)] = Ty - Tn; + } + T1t = T5 - Ta; + T1w = T1u - T1v; + ro[WS(os, 3)] = T1t - T1w; + ro[WS(os, 9)] = T1t + T1w; + { + E T11, T1l, T1k, T1m, T14, T18, T17, T19; + { + E TZ, T10, T1e, T1j; + TZ = TA + Tz; + T10 = TD + TC; + T11 = TZ - T10; + T1l = TZ + T10; + T1e = T1a + T1d; + T1j = T1f + T1i; + T1k = T1e - T1j; + T1m = T1e + T1j; + } + { + E T12, T13, T15, T16; + T12 = TG + TJ; + T13 = TL + TO; + T14 = T12 - T13; + T18 = T12 + T13; + T15 = TR + TS; + T16 = TU + TV; + T17 = T15 + T16; + T19 = T15 - T16; + } + io[WS(os, 1)] = T11 - T14; + ro[WS(os, 1)] = T19 + T1k; + io[WS(os, 7)] = T11 + T14; + ro[WS(os, 7)] = T19 - T1k; + ro[WS(os, 10)] = T17 - T18; + io[WS(os, 10)] = T1l - T1m; + ro[WS(os, 4)] = T17 + T18; + io[WS(os, 4)] = T1l + T1m; + } + { + E TF, T1r, T1q, T1s, TQ, TY, TX, T1n; + { + E TB, TE, T1o, T1p; + TB = Tz - TA; + TE = TC - TD; + TF = TB - TE; + T1r = TB + TE; + T1o = T1d - T1a; + T1p = T1i - T1f; + T1q = T1o - T1p; + T1s = T1o + T1p; + } + { + E TK, TP, TT, TW; + TK = TG - TJ; + TP = TL - TO; + TQ = TK - TP; + TY = TK + TP; + TT = TR - TS; + TW = TU - TV; + TX = TT + TW; + T1n = TT - TW; + } + io[WS(os, 5)] = TF - TQ; + ro[WS(os, 5)] = T1n + T1q; + io[WS(os, 11)] = TF + TQ; + ro[WS(os, 11)] = T1n - T1q; + ro[WS(os, 2)] = TX - TY; + io[WS(os, 2)] = T1r - T1s; + ro[WS(os, 8)] = TX + TY; + io[WS(os, 8)] = T1r + T1s; + } + } + } +} + +static const kdft_desc desc = { 12, "n1_12", {88, 8, 8, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_12) (planner *p) { + X(kdft_register) (p, n1_12, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_13.c b/src/fftw3/dft/codelets/standard/n1_13.c new file mode 100644 index 0000000..3f8c804 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_13.c @@ -0,0 +1,352 @@ +/* + * 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 21:29:33 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 13 -name n1_13 -include n.h */ + +/* + * This function contains 176 FP additions, 68 FP multiplications, + * (or, 138 additions, 30 multiplications, 38 fused multiply/add), + * 71 stack variables, and 52 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_13.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_13.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_13.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_13(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + DK(KP2_000000000, +2.000000000000000000000000000000000000000000000); + DK(KP083333333, +0.083333333333333333333333333333333333333333333); + DK(KP251768516, +0.251768516431883313623436926934233488546674281); + DK(KP075902986, +0.075902986037193865983102897245103540356428373); + DK(KP132983124, +0.132983124607418643793760531921092974399165133); + DK(KP258260390, +0.258260390311744861420450644284508567852516811); + 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(KP503537032, +0.503537032863766627246873853868466977093348562); + DK(KP113854479, +0.113854479055790798974654345867655310534642560); + DK(KP265966249, +0.265966249214837287587521063842185948798330267); + DK(KP387390585, +0.387390585467617292130675966426762851778775217); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP300462606, +0.300462606288665774426601772289207995520941381); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T1q, Tt, Tu, To, T22, T20, T24, TF, TH, TA, TI, T1X, T25, T2a; + E T2d, T18, T1n, T2k, T2n, T1l, T1r, T1f, T1o, T2h, T2m; + T1 = ri[0]; + T1q = ii[0]; + { + E Tf, Tp, Tb, TC, Tx, T6, TB, Tw, Ti, Tq, Tl, Tr, Tm, Ts, Td; + E Te, Tc, Tn; + Td = ri[WS(is, 8)]; + Te = ri[WS(is, 5)]; + Tf = Td + Te; + Tp = Td - Te; + { + E T7, T8, T9, Ta; + T7 = ri[WS(is, 12)]; + T8 = ri[WS(is, 10)]; + T9 = ri[WS(is, 4)]; + Ta = T8 + T9; + Tb = T7 + Ta; + TC = T8 - T9; + Tx = FNMS(KP500000000, Ta, T7); + } + { + E T2, T3, T4, T5; + T2 = ri[WS(is, 1)]; + T3 = ri[WS(is, 3)]; + T4 = ri[WS(is, 9)]; + T5 = T3 + T4; + T6 = T2 + T5; + TB = T3 - T4; + Tw = FNMS(KP500000000, T5, T2); + } + { + E Tg, Th, Tj, Tk; + Tg = ri[WS(is, 11)]; + Th = ri[WS(is, 6)]; + Ti = Tg + Th; + Tq = Tg - Th; + Tj = ri[WS(is, 7)]; + Tk = ri[WS(is, 2)]; + Tl = Tj + Tk; + Tr = Tj - Tk; + } + Tm = Ti + Tl; + Ts = Tq + Tr; + Tt = Tp + Ts; + Tu = T6 - Tb; + Tc = T6 + Tb; + Tn = Tf + Tm; + To = Tc + Tn; + T22 = KP300462606 * (Tc - Tn); + { + E T1Y, T1Z, TD, TE; + T1Y = TB + TC; + T1Z = Tq - Tr; + T20 = T1Y - T1Z; + T24 = T1Y + T1Z; + TD = KP866025403 * (TB - TC); + TE = FNMS(KP500000000, Ts, Tp); + TF = TD - TE; + TH = TD + TE; + } + { + E Ty, Tz, T1V, T1W; + Ty = Tw - Tx; + Tz = KP866025403 * (Ti - Tl); + TA = Ty + Tz; + TI = Ty - Tz; + T1V = Tw + Tx; + T1W = FNMS(KP500000000, Tm, Tf); + T1X = T1V - T1W; + T25 = T1V + T1W; + } + } + { + E TZ, T2b, TV, T1i, T1a, TQ, T1h, T19, T12, T1d, T15, T1c, T16, T2c, TX; + E TY, TW, T17; + TX = ii[WS(is, 8)]; + TY = ii[WS(is, 5)]; + TZ = TX + TY; + T2b = TX - TY; + { + E TR, TS, TT, TU; + TR = ii[WS(is, 12)]; + TS = ii[WS(is, 10)]; + TT = ii[WS(is, 4)]; + TU = TS + TT; + TV = FNMS(KP500000000, TU, TR); + T1i = TR + TU; + T1a = TS - TT; + } + { + E TM, TN, TO, TP; + TM = ii[WS(is, 1)]; + TN = ii[WS(is, 3)]; + TO = ii[WS(is, 9)]; + TP = TN + TO; + TQ = FNMS(KP500000000, TP, TM); + T1h = TM + TP; + T19 = TN - TO; + } + { + E T10, T11, T13, T14; + T10 = ii[WS(is, 11)]; + T11 = ii[WS(is, 6)]; + T12 = T10 + T11; + T1d = T10 - T11; + T13 = ii[WS(is, 7)]; + T14 = ii[WS(is, 2)]; + T15 = T13 + T14; + T1c = T13 - T14; + } + T16 = T12 + T15; + T2c = T1d + T1c; + T2a = T1h - T1i; + T2d = T2b + T2c; + TW = TQ + TV; + T17 = FNMS(KP500000000, T16, TZ); + T18 = TW - T17; + T1n = TW + T17; + { + E T2i, T2j, T1j, T1k; + T2i = TQ - TV; + T2j = KP866025403 * (T15 - T12); + T2k = T2i + T2j; + T2n = T2i - T2j; + T1j = T1h + T1i; + T1k = TZ + T16; + T1l = KP300462606 * (T1j - T1k); + T1r = T1j + T1k; + } + { + E T1b, T1e, T2f, T2g; + T1b = T19 + T1a; + T1e = T1c - T1d; + T1f = T1b + T1e; + T1o = T1e - T1b; + T2f = FNMS(KP500000000, T2c, T2b); + T2g = KP866025403 * (T1a - T19); + T2h = T2f - T2g; + T2m = T2g + T2f; + } + } + ro[0] = T1 + To; + io[0] = T1q + T1r; + { + E T1D, T1N, T1y, T1x, T1E, T1O, Tv, TK, T1J, T1Q, T1m, T1R, T1t, T1I, TG; + E TJ; + { + E T1B, T1C, T1v, T1w; + T1B = FMA(KP387390585, T1f, KP265966249 * T18); + T1C = FMA(KP113854479, T1o, KP503537032 * T1n); + T1D = T1B + T1C; + T1N = T1C - T1B; + T1y = FMA(KP575140729, Tu, KP174138601 * Tt); + T1v = FNMS(KP156891391, TH, KP256247671 * TI); + T1w = FMA(KP011599105, TF, KP300238635 * TA); + T1x = T1v - T1w; + T1E = T1y + T1x; + T1O = KP1_732050807 * (T1v + T1w); + } + Tv = FNMS(KP174138601, Tu, KP575140729 * Tt); + TG = FNMS(KP300238635, TF, KP011599105 * TA); + TJ = FMA(KP256247671, TH, KP156891391 * TI); + TK = TG - TJ; + T1J = KP1_732050807 * (TJ + TG); + T1Q = Tv - TK; + { + E T1g, T1H, T1p, T1s, T1G; + T1g = FNMS(KP132983124, T1f, KP258260390 * T18); + T1H = T1l - T1g; + T1p = FNMS(KP251768516, T1o, KP075902986 * T1n); + T1s = FNMS(KP083333333, T1r, T1q); + T1G = T1s - T1p; + T1m = FMA(KP2_000000000, T1g, T1l); + T1R = T1H + T1G; + T1t = FMA(KP2_000000000, T1p, T1s); + T1I = T1G - T1H; + } + { + E TL, T1u, T1P, T1S; + TL = FMA(KP2_000000000, TK, Tv); + T1u = T1m + T1t; + io[WS(os, 1)] = TL + T1u; + io[WS(os, 12)] = T1u - TL; + { + E T1z, T1A, T1T, T1U; + T1z = FMS(KP2_000000000, T1x, T1y); + T1A = T1t - T1m; + io[WS(os, 5)] = T1z + T1A; + io[WS(os, 8)] = T1A - T1z; + T1T = T1R - T1Q; + T1U = T1O + T1N; + io[WS(os, 4)] = T1T - T1U; + io[WS(os, 10)] = T1U + T1T; + } + T1P = T1N - T1O; + T1S = T1Q + T1R; + io[WS(os, 3)] = T1P + T1S; + io[WS(os, 9)] = T1S - T1P; + { + E T1L, T1M, T1F, T1K; + T1L = T1J + T1I; + T1M = T1E + T1D; + io[WS(os, 6)] = T1L - T1M; + io[WS(os, 11)] = T1M + T1L; + T1F = T1D - T1E; + T1K = T1I - T1J; + io[WS(os, 2)] = T1F + T1K; + io[WS(os, 7)] = T1K - T1F; + } + } + } + { + E T2y, T2I, T2J, T2K, T2B, T2L, T2e, T2p, T2u, T2G, T23, T2F, T28, T2t, T2l; + E T2o; + { + E T2w, T2x, T2z, T2A; + T2w = FMA(KP387390585, T20, KP265966249 * T1X); + T2x = FNMS(KP503537032, T25, KP113854479 * T24); + T2y = T2w + T2x; + T2I = T2w - T2x; + T2J = FMA(KP575140729, T2a, KP174138601 * T2d); + T2z = FNMS(KP300238635, T2n, KP011599105 * T2m); + T2A = FNMS(KP156891391, T2h, KP256247671 * T2k); + T2K = T2z + T2A; + T2B = KP1_732050807 * (T2z - T2A); + T2L = T2J + T2K; + } + T2e = FNMS(KP575140729, T2d, KP174138601 * T2a); + T2l = FMA(KP256247671, T2h, KP156891391 * T2k); + T2o = FMA(KP300238635, T2m, KP011599105 * T2n); + T2p = T2l - T2o; + T2u = T2e - T2p; + T2G = KP1_732050807 * (T2o + T2l); + { + E T21, T2r, T26, T27, T2s; + T21 = FNMS(KP132983124, T20, KP258260390 * T1X); + T2r = T22 - T21; + T26 = FMA(KP251768516, T24, KP075902986 * T25); + T27 = FNMS(KP083333333, To, T1); + T2s = T27 - T26; + T23 = FMA(KP2_000000000, T21, T22); + T2F = T2s - T2r; + T28 = FMA(KP2_000000000, T26, T27); + T2t = T2r + T2s; + } + { + E T29, T2q, T2N, T2O; + T29 = T23 + T28; + T2q = FMA(KP2_000000000, T2p, T2e); + ro[WS(os, 12)] = T29 - T2q; + ro[WS(os, 1)] = T29 + T2q; + { + E T2v, T2C, T2P, T2Q; + T2v = T2t - T2u; + T2C = T2y - T2B; + ro[WS(os, 10)] = T2v - T2C; + ro[WS(os, 4)] = T2v + T2C; + T2P = T28 - T23; + T2Q = FMS(KP2_000000000, T2K, T2J); + ro[WS(os, 5)] = T2P - T2Q; + ro[WS(os, 8)] = T2P + T2Q; + } + T2N = T2F - T2G; + T2O = T2L - T2I; + ro[WS(os, 11)] = T2N - T2O; + ro[WS(os, 6)] = T2N + T2O; + { + E T2H, T2M, T2D, T2E; + T2H = T2F + T2G; + T2M = T2I + T2L; + ro[WS(os, 7)] = T2H - T2M; + ro[WS(os, 2)] = T2H + T2M; + T2D = T2t + T2u; + T2E = T2y + T2B; + ro[WS(os, 3)] = T2D - T2E; + ro[WS(os, 9)] = T2D + T2E; + } + } + } + } +} + +static const kdft_desc desc = { 13, "n1_13", {138, 30, 38, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_13) (planner *p) { + X(kdft_register) (p, n1_13, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_14.c b/src/fftw3/dft/codelets/standard/n1_14.c new file mode 100644 index 0000000..a5d5928 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_14.c @@ -0,0 +1,249 @@ +/* + * 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 21:29:34 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 14 -name n1_14 -include n.h */ + +/* + * This function contains 148 FP additions, 72 FP multiplications, + * (or, 100 additions, 24 multiplications, 48 fused multiply/add), + * 43 stack variables, and 56 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_14.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_14.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_14.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_14(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, 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, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T3, Tp, T16, T1f, Ta, T1q, Ts, T10, TG, T1z, T19, T1i, Th, T1s, Tv; + E T12, TU, T1B, T17, T1o, To, T1r, Ty, T11, TN, T1A, T18, T1l; + { + E T1, T2, T14, T15; + T1 = ri[0]; + T2 = ri[WS(is, 7)]; + T3 = T1 - T2; + Tp = T1 + T2; + T14 = ii[0]; + T15 = ii[WS(is, 7)]; + T16 = T14 - T15; + T1f = T14 + T15; + } + { + E T6, Tq, T9, Tr; + { + E T4, T5, T7, T8; + T4 = ri[WS(is, 2)]; + T5 = ri[WS(is, 9)]; + T6 = T4 - T5; + Tq = T4 + T5; + T7 = ri[WS(is, 12)]; + T8 = ri[WS(is, 5)]; + T9 = T7 - T8; + Tr = T7 + T8; + } + Ta = T6 + T9; + T1q = Tr - Tq; + Ts = Tq + Tr; + T10 = T9 - T6; + } + { + E TC, T1g, TF, T1h; + { + E TA, TB, TD, TE; + TA = ii[WS(is, 2)]; + TB = ii[WS(is, 9)]; + TC = TA - TB; + T1g = TA + TB; + TD = ii[WS(is, 12)]; + TE = ii[WS(is, 5)]; + TF = TD - TE; + T1h = TD + TE; + } + TG = TC - TF; + T1z = T1g - T1h; + T19 = TC + TF; + T1i = T1g + T1h; + } + { + E Td, Tt, Tg, Tu; + { + E Tb, Tc, Te, Tf; + Tb = ri[WS(is, 4)]; + Tc = ri[WS(is, 11)]; + Td = Tb - Tc; + Tt = Tb + Tc; + Te = ri[WS(is, 10)]; + Tf = ri[WS(is, 3)]; + Tg = Te - Tf; + Tu = Te + Tf; + } + Th = Td + Tg; + T1s = Tt - Tu; + Tv = Tt + Tu; + T12 = Tg - Td; + } + { + E TQ, T1m, TT, T1n; + { + E TO, TP, TR, TS; + TO = ii[WS(is, 4)]; + TP = ii[WS(is, 11)]; + TQ = TO - TP; + T1m = TO + TP; + TR = ii[WS(is, 10)]; + TS = ii[WS(is, 3)]; + TT = TR - TS; + T1n = TR + TS; + } + TU = TQ - TT; + T1B = T1n - T1m; + T17 = TQ + TT; + T1o = T1m + T1n; + } + { + E Tk, Tw, Tn, Tx; + { + E Ti, Tj, Tl, Tm; + Ti = ri[WS(is, 6)]; + Tj = ri[WS(is, 13)]; + Tk = Ti - Tj; + Tw = Ti + Tj; + Tl = ri[WS(is, 8)]; + Tm = ri[WS(is, 1)]; + Tn = Tl - Tm; + Tx = Tl + Tm; + } + To = Tk + Tn; + T1r = Tw - Tx; + Ty = Tw + Tx; + T11 = Tn - Tk; + } + { + E TJ, T1j, TM, T1k; + { + E TH, TI, TK, TL; + TH = ii[WS(is, 6)]; + TI = ii[WS(is, 13)]; + TJ = TH - TI; + T1j = TH + TI; + TK = ii[WS(is, 8)]; + TL = ii[WS(is, 1)]; + TM = TK - TL; + T1k = TK + TL; + } + TN = TJ - TM; + T1A = T1k - T1j; + T18 = TJ + TM; + T1l = T1j + T1k; + } + ro[WS(os, 7)] = T3 + Ta + Th + To; + io[WS(os, 7)] = T16 + T19 + T17 + T18; + ro[0] = Tp + Ts + Tv + Ty; + io[0] = T1f + T1i + T1o + T1l; + { + E TV, Tz, T1e, T1d; + TV = FNMS(KP781831482, TN, KP974927912 * TG) - (KP433883739 * TU); + Tz = FMA(KP623489801, To, T3) + FNMA(KP900968867, Th, KP222520933 * Ta); + ro[WS(os, 5)] = Tz - TV; + ro[WS(os, 9)] = Tz + TV; + T1e = FNMS(KP781831482, T11, KP974927912 * T10) - (KP433883739 * T12); + T1d = FMA(KP623489801, T18, T16) + FNMA(KP900968867, T17, KP222520933 * T19); + io[WS(os, 5)] = T1d - T1e; + io[WS(os, 9)] = T1e + T1d; + } + { + E TX, TW, T1b, T1c; + TX = FMA(KP781831482, TG, KP974927912 * TU) + (KP433883739 * TN); + TW = FMA(KP623489801, Ta, T3) + FNMA(KP900968867, To, KP222520933 * Th); + ro[WS(os, 13)] = TW - TX; + ro[WS(os, 1)] = TW + TX; + T1b = FMA(KP781831482, T10, KP974927912 * T12) + (KP433883739 * T11); + T1c = FMA(KP623489801, T19, T16) + FNMA(KP900968867, T18, KP222520933 * T17); + io[WS(os, 1)] = T1b + T1c; + io[WS(os, 13)] = T1c - T1b; + } + { + E TZ, TY, T13, T1a; + TZ = FMA(KP433883739, TG, KP974927912 * TN) - (KP781831482 * TU); + TY = FMA(KP623489801, Th, T3) + FNMA(KP222520933, To, KP900968867 * Ta); + ro[WS(os, 11)] = TY - TZ; + ro[WS(os, 3)] = TY + TZ; + T13 = FMA(KP433883739, T10, KP974927912 * T11) - (KP781831482 * T12); + T1a = FMA(KP623489801, T17, T16) + FNMA(KP222520933, T18, KP900968867 * T19); + io[WS(os, 3)] = T13 + T1a; + io[WS(os, 11)] = T1a - T13; + } + { + E T1t, T1p, T1C, T1y; + T1t = FNMS(KP433883739, T1r, KP781831482 * T1q) - (KP974927912 * T1s); + T1p = FMA(KP623489801, T1i, T1f) + FNMA(KP900968867, T1l, KP222520933 * T1o); + io[WS(os, 6)] = T1p - T1t; + io[WS(os, 8)] = T1t + T1p; + T1C = FNMS(KP433883739, T1A, KP781831482 * T1z) - (KP974927912 * T1B); + T1y = FMA(KP623489801, Ts, Tp) + FNMA(KP900968867, Ty, KP222520933 * Tv); + ro[WS(os, 6)] = T1y - T1C; + ro[WS(os, 8)] = T1y + T1C; + } + { + E T1v, T1u, T1E, T1D; + T1v = FMA(KP433883739, T1q, KP781831482 * T1s) - (KP974927912 * T1r); + T1u = FMA(KP623489801, T1o, T1f) + FNMA(KP222520933, T1l, KP900968867 * T1i); + io[WS(os, 4)] = T1u - T1v; + io[WS(os, 10)] = T1v + T1u; + T1E = FMA(KP433883739, T1z, KP781831482 * T1B) - (KP974927912 * T1A); + T1D = FMA(KP623489801, Tv, Tp) + FNMA(KP222520933, Ty, KP900968867 * Ts); + ro[WS(os, 4)] = T1D - T1E; + ro[WS(os, 10)] = T1D + T1E; + } + { + E T1w, T1x, T1G, T1F; + T1w = FMA(KP974927912, T1q, KP433883739 * T1s) + (KP781831482 * T1r); + T1x = FMA(KP623489801, T1l, T1f) + FNMA(KP900968867, T1o, KP222520933 * T1i); + io[WS(os, 2)] = T1w + T1x; + io[WS(os, 12)] = T1x - T1w; + T1G = FMA(KP974927912, T1z, KP433883739 * T1B) + (KP781831482 * T1A); + T1F = FMA(KP623489801, Ty, Tp) + FNMA(KP900968867, Tv, KP222520933 * Ts); + ro[WS(os, 12)] = T1F - T1G; + ro[WS(os, 2)] = T1F + T1G; + } + } +} + +static const kdft_desc desc = { 14, "n1_14", {100, 24, 48, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_14) (planner *p) { + X(kdft_register) (p, n1_14, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_15.c b/src/fftw3/dft/codelets/standard/n1_15.c new file mode 100644 index 0000000..5fbb0f4 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_15.c @@ -0,0 +1,291 @@ +/* + * 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 21:29:34 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 15 -name n1_15 -include n.h */ + +/* + * This function contains 156 FP additions, 56 FP multiplications, + * (or, 128 additions, 28 multiplications, 28 fused multiply/add), + * 69 stack variables, and 60 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_15.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_15.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_15.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_15(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + 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 = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T5, T2l, Tx, TV, T1C, T20, Tl, Tq, Tr, TN, TS, TT, T2c, T2d, T2n; + E T1O, T1P, T22, T1l, T1q, T1w, TZ, T10, T11, Ta, Tf, Tg, TC, TH, TI; + E T2f, T2g, T2m, T1R, T1S, T21, T1a, T1f, T1v, TW, TX, TY; + { + E T1, T1z, T4, T1y, Tw, T1A, Tt, T1B; + T1 = ri[0]; + T1z = ii[0]; + { + E T2, T3, Tu, Tv; + T2 = ri[WS(is, 5)]; + T3 = ri[WS(is, 10)]; + T4 = T2 + T3; + T1y = KP866025403 * (T3 - T2); + Tu = ii[WS(is, 5)]; + Tv = ii[WS(is, 10)]; + Tw = KP866025403 * (Tu - Tv); + T1A = Tu + Tv; + } + T5 = T1 + T4; + T2l = T1z + T1A; + Tt = FNMS(KP500000000, T4, T1); + Tx = Tt - Tw; + TV = Tt + Tw; + T1B = FNMS(KP500000000, T1A, T1z); + T1C = T1y + T1B; + T20 = T1B - T1y; + } + { + E Th, Tk, TJ, T1h, T1i, T1j, TM, T1k, Tm, Tp, TO, T1m, T1n, T1o, TR; + E T1p; + { + E Ti, Tj, TK, TL; + Th = ri[WS(is, 6)]; + Ti = ri[WS(is, 11)]; + Tj = ri[WS(is, 1)]; + Tk = Ti + Tj; + TJ = FNMS(KP500000000, Tk, Th); + T1h = KP866025403 * (Tj - Ti); + T1i = ii[WS(is, 6)]; + TK = ii[WS(is, 11)]; + TL = ii[WS(is, 1)]; + T1j = TK + TL; + TM = KP866025403 * (TK - TL); + T1k = FNMS(KP500000000, T1j, T1i); + } + { + E Tn, To, TP, TQ; + Tm = ri[WS(is, 9)]; + Tn = ri[WS(is, 14)]; + To = ri[WS(is, 4)]; + Tp = Tn + To; + TO = FNMS(KP500000000, Tp, Tm); + T1m = KP866025403 * (To - Tn); + T1n = ii[WS(is, 9)]; + TP = ii[WS(is, 14)]; + TQ = ii[WS(is, 4)]; + T1o = TP + TQ; + TR = KP866025403 * (TP - TQ); + T1p = FNMS(KP500000000, T1o, T1n); + } + Tl = Th + Tk; + Tq = Tm + Tp; + Tr = Tl + Tq; + TN = TJ - TM; + TS = TO - TR; + TT = TN + TS; + T2c = T1i + T1j; + T2d = T1n + T1o; + T2n = T2c + T2d; + T1O = T1k - T1h; + T1P = T1p - T1m; + T22 = T1O + T1P; + T1l = T1h + T1k; + T1q = T1m + T1p; + T1w = T1l + T1q; + TZ = TJ + TM; + T10 = TO + TR; + T11 = TZ + T10; + } + { + E T6, T9, Ty, T16, T17, T18, TB, T19, Tb, Te, TD, T1b, T1c, T1d, TG; + E T1e; + { + E T7, T8, Tz, TA; + T6 = ri[WS(is, 3)]; + T7 = ri[WS(is, 8)]; + T8 = ri[WS(is, 13)]; + T9 = T7 + T8; + Ty = FNMS(KP500000000, T9, T6); + T16 = KP866025403 * (T8 - T7); + T17 = ii[WS(is, 3)]; + Tz = ii[WS(is, 8)]; + TA = ii[WS(is, 13)]; + T18 = Tz + TA; + TB = KP866025403 * (Tz - TA); + T19 = FNMS(KP500000000, T18, T17); + } + { + E Tc, Td, TE, TF; + Tb = ri[WS(is, 12)]; + Tc = ri[WS(is, 2)]; + Td = ri[WS(is, 7)]; + Te = Tc + Td; + TD = FNMS(KP500000000, Te, Tb); + T1b = KP866025403 * (Td - Tc); + T1c = ii[WS(is, 12)]; + TE = ii[WS(is, 2)]; + TF = ii[WS(is, 7)]; + T1d = TE + TF; + TG = KP866025403 * (TE - TF); + T1e = FNMS(KP500000000, T1d, T1c); + } + Ta = T6 + T9; + Tf = Tb + Te; + Tg = Ta + Tf; + TC = Ty - TB; + TH = TD - TG; + TI = TC + TH; + T2f = T17 + T18; + T2g = T1c + T1d; + T2m = T2f + T2g; + T1R = T19 - T16; + T1S = T1e - T1b; + T21 = T1R + T1S; + T1a = T16 + T19; + T1f = T1b + T1e; + T1v = T1a + T1f; + TW = Ty + TB; + TX = TD + TG; + TY = TW + TX; + } + { + E T2a, Ts, T29, T2i, T2k, T2e, T2h, T2j, T2b; + T2a = KP559016994 * (Tg - Tr); + Ts = Tg + Tr; + T29 = FNMS(KP250000000, Ts, T5); + T2e = T2c - T2d; + T2h = T2f - T2g; + T2i = FNMS(KP587785252, T2h, KP951056516 * T2e); + T2k = FMA(KP951056516, T2h, KP587785252 * T2e); + ro[0] = T5 + Ts; + T2j = T2a + T29; + ro[WS(os, 9)] = T2j - T2k; + ro[WS(os, 6)] = T2j + T2k; + T2b = T29 - T2a; + ro[WS(os, 12)] = T2b - T2i; + ro[WS(os, 3)] = T2b + T2i; + } + { + E T2q, T2o, T2p, T2u, T2w, T2s, T2t, T2v, T2r; + T2q = KP559016994 * (T2m - T2n); + T2o = T2m + T2n; + T2p = FNMS(KP250000000, T2o, T2l); + T2s = Tl - Tq; + T2t = Ta - Tf; + T2u = FNMS(KP587785252, T2t, KP951056516 * T2s); + T2w = FMA(KP951056516, T2t, KP587785252 * T2s); + io[0] = T2l + T2o; + T2v = T2q + T2p; + io[WS(os, 6)] = T2v - T2w; + io[WS(os, 9)] = T2w + T2v; + T2r = T2p - T2q; + io[WS(os, 3)] = T2r - T2u; + io[WS(os, 12)] = T2u + T2r; + } + { + E T1M, TU, T1L, T1U, T1W, T1Q, T1T, T1V, T1N; + T1M = KP559016994 * (TI - TT); + TU = TI + TT; + T1L = FNMS(KP250000000, TU, Tx); + T1Q = T1O - T1P; + T1T = T1R - T1S; + T1U = FNMS(KP587785252, T1T, KP951056516 * T1Q); + T1W = FMA(KP951056516, T1T, KP587785252 * T1Q); + ro[WS(os, 5)] = Tx + TU; + T1V = T1M + T1L; + ro[WS(os, 14)] = T1V - T1W; + ro[WS(os, 11)] = T1V + T1W; + T1N = T1L - T1M; + ro[WS(os, 2)] = T1N - T1U; + ro[WS(os, 8)] = T1N + T1U; + } + { + E T25, T23, T24, T1Z, T28, T1X, T1Y, T27, T26; + T25 = KP559016994 * (T21 - T22); + T23 = T21 + T22; + T24 = FNMS(KP250000000, T23, T20); + T1X = TN - TS; + T1Y = TC - TH; + T1Z = FNMS(KP587785252, T1Y, KP951056516 * T1X); + T28 = FMA(KP951056516, T1Y, KP587785252 * T1X); + io[WS(os, 5)] = T20 + T23; + T27 = T25 + T24; + io[WS(os, 11)] = T27 - T28; + io[WS(os, 14)] = T28 + T27; + T26 = T24 - T25; + io[WS(os, 2)] = T1Z + T26; + io[WS(os, 8)] = T26 - T1Z; + } + { + E T1x, T1D, T1E, T1I, T1J, T1G, T1H, T1K, T1F; + T1x = KP559016994 * (T1v - T1w); + T1D = T1v + T1w; + T1E = FNMS(KP250000000, T1D, T1C); + T1G = TW - TX; + T1H = TZ - T10; + T1I = FMA(KP951056516, T1G, KP587785252 * T1H); + T1J = FNMS(KP587785252, T1G, KP951056516 * T1H); + io[WS(os, 10)] = T1C + T1D; + T1K = T1E - T1x; + io[WS(os, 7)] = T1J + T1K; + io[WS(os, 13)] = T1K - T1J; + T1F = T1x + T1E; + io[WS(os, 1)] = T1F - T1I; + io[WS(os, 4)] = T1I + T1F; + } + { + E T13, T12, T14, T1s, T1u, T1g, T1r, T1t, T15; + T13 = KP559016994 * (TY - T11); + T12 = TY + T11; + T14 = FNMS(KP250000000, T12, TV); + T1g = T1a - T1f; + T1r = T1l - T1q; + T1s = FMA(KP951056516, T1g, KP587785252 * T1r); + T1u = FNMS(KP587785252, T1g, KP951056516 * T1r); + ro[WS(os, 10)] = TV + T12; + T1t = T14 - T13; + ro[WS(os, 7)] = T1t - T1u; + ro[WS(os, 13)] = T1t + T1u; + T15 = T13 + T14; + ro[WS(os, 4)] = T15 - T1s; + ro[WS(os, 1)] = T15 + T1s; + } + } +} + +static const kdft_desc desc = { 15, "n1_15", {128, 28, 28, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_15) (planner *p) { + X(kdft_register) (p, n1_15, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_16.c b/src/fftw3/dft/codelets/standard/n1_16.c new file mode 100644 index 0000000..6c813a1 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_16.c @@ -0,0 +1,294 @@ +/* + * 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 21:29:37 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 16 -name n1_16 -include n.h */ + +/* + * This function contains 144 FP additions, 24 FP multiplications, + * (or, 136 additions, 16 multiplications, 8 fused multiply/add), + * 50 stack variables, and 64 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, 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, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T7, T1R, T25, TC, TN, T1x, T1H, T1l, Tt, T22, T2h, T1b, T1g, T1E, T1Z; + E T1D, Te, T1S, T26, TJ, TQ, T1m, T1n, TT, Tm, T1X, T2g, T10, T15, T1B; + E T1U, T1A; + { + E T3, TL, Ty, T1k, T6, T1j, TB, TM; + { + E T1, T2, Tw, Tx; + T1 = ri[0]; + T2 = ri[WS(is, 8)]; + T3 = T1 + T2; + TL = T1 - T2; + Tw = ii[0]; + Tx = ii[WS(is, 8)]; + Ty = Tw + Tx; + T1k = Tw - Tx; + } + { + E T4, T5, Tz, TA; + T4 = ri[WS(is, 4)]; + T5 = ri[WS(is, 12)]; + T6 = T4 + T5; + T1j = T4 - T5; + Tz = ii[WS(is, 4)]; + TA = ii[WS(is, 12)]; + TB = Tz + TA; + TM = Tz - TA; + } + T7 = T3 + T6; + T1R = T3 - T6; + T25 = Ty - TB; + TC = Ty + TB; + TN = TL - TM; + T1x = TL + TM; + T1H = T1k - T1j; + T1l = T1j + T1k; + } + { + E Tp, T17, T1f, T20, Ts, T1c, T1a, T21; + { + E Tn, To, T1d, T1e; + Tn = ri[WS(is, 15)]; + To = ri[WS(is, 7)]; + Tp = Tn + To; + T17 = Tn - To; + T1d = ii[WS(is, 15)]; + T1e = ii[WS(is, 7)]; + T1f = T1d - T1e; + T20 = T1d + T1e; + } + { + E Tq, Tr, T18, T19; + Tq = ri[WS(is, 3)]; + Tr = ri[WS(is, 11)]; + Ts = Tq + Tr; + T1c = Tq - Tr; + T18 = ii[WS(is, 3)]; + T19 = ii[WS(is, 11)]; + T1a = T18 - T19; + T21 = T18 + T19; + } + Tt = Tp + Ts; + T22 = T20 - T21; + T2h = T20 + T21; + T1b = T17 - T1a; + T1g = T1c + T1f; + T1E = T1f - T1c; + T1Z = Tp - Ts; + T1D = T17 + T1a; + } + { + E Ta, TP, TF, TO, Td, TR, TI, TS; + { + E T8, T9, TD, TE; + T8 = ri[WS(is, 2)]; + T9 = ri[WS(is, 10)]; + Ta = T8 + T9; + TP = T8 - T9; + TD = ii[WS(is, 2)]; + TE = ii[WS(is, 10)]; + TF = TD + TE; + TO = TD - TE; + } + { + E Tb, Tc, TG, TH; + Tb = ri[WS(is, 14)]; + Tc = ri[WS(is, 6)]; + Td = Tb + Tc; + TR = Tb - Tc; + TG = ii[WS(is, 14)]; + TH = ii[WS(is, 6)]; + TI = TG + TH; + TS = TG - TH; + } + Te = Ta + Td; + T1S = TF - TI; + T26 = Td - Ta; + TJ = TF + TI; + TQ = TO - TP; + T1m = TR - TS; + T1n = TP + TO; + TT = TR + TS; + } + { + E Ti, T11, TZ, T1V, Tl, TW, T14, T1W; + { + E Tg, Th, TX, TY; + Tg = ri[WS(is, 1)]; + Th = ri[WS(is, 9)]; + Ti = Tg + Th; + T11 = Tg - Th; + TX = ii[WS(is, 1)]; + TY = ii[WS(is, 9)]; + TZ = TX - TY; + T1V = TX + TY; + } + { + E Tj, Tk, T12, T13; + Tj = ri[WS(is, 5)]; + Tk = ri[WS(is, 13)]; + Tl = Tj + Tk; + TW = Tj - Tk; + T12 = ii[WS(is, 5)]; + T13 = ii[WS(is, 13)]; + T14 = T12 - T13; + T1W = T12 + T13; + } + Tm = Ti + Tl; + T1X = T1V - T1W; + T2g = T1V + T1W; + T10 = TW + TZ; + T15 = T11 - T14; + T1B = T11 + T14; + T1U = Ti - Tl; + T1A = TZ - TW; + } + { + E Tf, Tu, T2j, T2k; + Tf = T7 + Te; + Tu = Tm + Tt; + ro[WS(os, 8)] = Tf - Tu; + ro[0] = Tf + Tu; + T2j = TC + TJ; + T2k = T2g + T2h; + io[WS(os, 8)] = T2j - T2k; + io[0] = T2j + T2k; + } + { + E Tv, TK, T2f, T2i; + Tv = Tt - Tm; + TK = TC - TJ; + io[WS(os, 4)] = Tv + TK; + io[WS(os, 12)] = TK - Tv; + T2f = T7 - Te; + T2i = T2g - T2h; + ro[WS(os, 12)] = T2f - T2i; + ro[WS(os, 4)] = T2f + T2i; + } + { + E T1T, T27, T24, T28, T1Y, T23; + T1T = T1R + T1S; + T27 = T25 - T26; + T1Y = T1U + T1X; + T23 = T1Z - T22; + T24 = KP707106781 * (T1Y + T23); + T28 = KP707106781 * (T23 - T1Y); + ro[WS(os, 10)] = T1T - T24; + io[WS(os, 6)] = T27 + T28; + ro[WS(os, 2)] = T1T + T24; + io[WS(os, 14)] = T27 - T28; + } + { + E T29, T2d, T2c, T2e, T2a, T2b; + T29 = T1R - T1S; + T2d = T26 + T25; + T2a = T1X - T1U; + T2b = T1Z + T22; + T2c = KP707106781 * (T2a - T2b); + T2e = KP707106781 * (T2a + T2b); + ro[WS(os, 14)] = T29 - T2c; + io[WS(os, 2)] = T2d + T2e; + ro[WS(os, 6)] = T29 + T2c; + io[WS(os, 10)] = T2d - T2e; + } + { + E TV, T1r, T1p, T1v, T1i, T1q, T1u, T1w, TU, T1o; + TU = KP707106781 * (TQ - TT); + TV = TN + TU; + T1r = TN - TU; + T1o = KP707106781 * (T1m - T1n); + T1p = T1l - T1o; + T1v = T1l + T1o; + { + E T16, T1h, T1s, T1t; + T16 = FMA(KP923879532, T10, KP382683432 * T15); + T1h = FNMS(KP923879532, T1g, KP382683432 * T1b); + T1i = T16 + T1h; + T1q = T1h - T16; + T1s = FNMS(KP923879532, T15, KP382683432 * T10); + T1t = FMA(KP382683432, T1g, KP923879532 * T1b); + T1u = T1s - T1t; + T1w = T1s + T1t; + } + ro[WS(os, 11)] = TV - T1i; + io[WS(os, 11)] = T1v - T1w; + ro[WS(os, 3)] = TV + T1i; + io[WS(os, 3)] = T1v + T1w; + io[WS(os, 15)] = T1p - T1q; + ro[WS(os, 15)] = T1r - T1u; + io[WS(os, 7)] = T1p + T1q; + ro[WS(os, 7)] = T1r + T1u; + } + { + E T1z, T1L, T1J, T1P, T1G, T1K, T1O, T1Q, T1y, T1I; + T1y = KP707106781 * (T1n + T1m); + T1z = T1x + T1y; + T1L = T1x - T1y; + T1I = KP707106781 * (TQ + TT); + T1J = T1H - T1I; + T1P = T1H + T1I; + { + E T1C, T1F, T1M, T1N; + T1C = FMA(KP382683432, T1A, KP923879532 * T1B); + T1F = FNMS(KP382683432, T1E, KP923879532 * T1D); + T1G = T1C + T1F; + T1K = T1F - T1C; + T1M = FNMS(KP382683432, T1B, KP923879532 * T1A); + T1N = FMA(KP923879532, T1E, KP382683432 * T1D); + T1O = T1M - T1N; + T1Q = T1M + T1N; + } + ro[WS(os, 9)] = T1z - T1G; + io[WS(os, 9)] = T1P - T1Q; + ro[WS(os, 1)] = T1z + T1G; + io[WS(os, 1)] = T1P + T1Q; + io[WS(os, 13)] = T1J - T1K; + ro[WS(os, 13)] = T1L - T1O; + io[WS(os, 5)] = T1J + T1K; + ro[WS(os, 5)] = T1L + T1O; + } + } +} + +static const kdft_desc desc = { 16, "n1_16", {136, 16, 8, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_16) (planner *p) { + X(kdft_register) (p, n1_16, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_2.c b/src/fftw3/dft/codelets/standard/n1_2.c new file mode 100644 index 0000000..8819b53 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_2.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 + * + */ + +/* This file was automatically generated --- DO NOT EDIT */ +/* Generated on Sat Jul 5 21:29:31 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 2 -name n1_2 -include n.h */ + +/* + * This function contains 4 FP additions, 0 FP multiplications, + * (or, 4 additions, 0 multiplications, 0 fused multiply/add), + * 5 stack variables, and 8 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_2.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_2.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_2.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_2(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T1, T2, T3, T4; + T1 = ri[0]; + T2 = ri[WS(is, 1)]; + ro[WS(os, 1)] = T1 - T2; + ro[0] = T1 + T2; + T3 = ii[0]; + T4 = ii[WS(is, 1)]; + io[WS(os, 1)] = T3 - T4; + io[0] = T3 + T4; + } +} + +static const kdft_desc desc = { 2, "n1_2", {4, 0, 0, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_2) (planner *p) { + X(kdft_register) (p, n1_2, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_3.c b/src/fftw3/dft/codelets/standard/n1_3.c new file mode 100644 index 0000000..f639ac1 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_3.c @@ -0,0 +1,76 @@ +/* + * 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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 3 -name n1_3 -include n.h */ + +/* + * This function contains 12 FP additions, 4 FP multiplications, + * (or, 10 additions, 2 multiplications, 2 fused multiply/add), + * 15 stack variables, and 12 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_3.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_3.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_3.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_3(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T1, Ta, T4, T9, T8, Tb, T5, Tc; + T1 = ri[0]; + Ta = ii[0]; + { + E T2, T3, T6, T7; + T2 = ri[WS(is, 1)]; + T3 = ri[WS(is, 2)]; + T4 = T2 + T3; + T9 = KP866025403 * (T3 - T2); + T6 = ii[WS(is, 1)]; + T7 = ii[WS(is, 2)]; + T8 = KP866025403 * (T6 - T7); + Tb = T6 + T7; + } + ro[0] = T1 + T4; + io[0] = Ta + Tb; + T5 = FNMS(KP500000000, T4, T1); + ro[WS(os, 2)] = T5 - T8; + ro[WS(os, 1)] = T5 + T8; + Tc = FNMS(KP500000000, Tb, Ta); + io[WS(os, 1)] = T9 + Tc; + io[WS(os, 2)] = Tc - T9; + } +} + +static const kdft_desc desc = { 3, "n1_3", {10, 2, 2, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_3) (planner *p) { + X(kdft_register) (p, n1_3, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_4.c b/src/fftw3/dft/codelets/standard/n1_4.c new file mode 100644 index 0000000..402046a --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_4.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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 4 -name n1_4 -include n.h */ + +/* + * This function contains 16 FP additions, 0 FP multiplications, + * (or, 16 additions, 0 multiplications, 0 fused multiply/add), + * 13 stack variables, and 16 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_4(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T3, Tb, T9, Tf, T6, Ta, Te, Tg; + { + E T1, T2, T7, T8; + T1 = ri[0]; + T2 = ri[WS(is, 2)]; + T3 = T1 + T2; + Tb = T1 - T2; + T7 = ii[0]; + T8 = ii[WS(is, 2)]; + T9 = T7 - T8; + Tf = T7 + T8; + } + { + E T4, T5, Tc, Td; + T4 = ri[WS(is, 1)]; + T5 = ri[WS(is, 3)]; + T6 = T4 + T5; + Ta = T4 - T5; + Tc = ii[WS(is, 1)]; + Td = ii[WS(is, 3)]; + Te = Tc - Td; + Tg = Tc + Td; + } + ro[WS(os, 2)] = T3 - T6; + io[WS(os, 2)] = Tf - Tg; + ro[0] = T3 + T6; + io[0] = Tf + Tg; + io[WS(os, 1)] = T9 - Ta; + ro[WS(os, 1)] = Tb + Te; + io[WS(os, 3)] = Ta + T9; + ro[WS(os, 3)] = Tb - Te; + } +} + +static const kdft_desc desc = { 4, "n1_4", {16, 0, 0, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_4) (planner *p) { + X(kdft_register) (p, n1_4, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_5.c b/src/fftw3/dft/codelets/standard/n1_5.c new file mode 100644 index 0000000..8ac5abc --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_5.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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 5 -name n1_5 -include n.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: n1_5.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_5.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_5.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_5(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, 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, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T1, To, T8, Tt, T9, Ts, Te, Tp, Th, Tn; + T1 = ri[0]; + To = ii[0]; + { + E T2, T3, T4, T5, T6, T7; + T2 = ri[WS(is, 1)]; + T3 = ri[WS(is, 4)]; + T4 = T2 + T3; + T5 = ri[WS(is, 2)]; + T6 = ri[WS(is, 3)]; + T7 = T5 + T6; + T8 = T4 + T7; + Tt = T5 - T6; + T9 = KP559016994 * (T4 - T7); + Ts = T2 - T3; + } + { + E Tc, Td, Tl, Tf, Tg, Tm; + Tc = ii[WS(is, 1)]; + Td = ii[WS(is, 4)]; + Tl = Tc + Td; + Tf = ii[WS(is, 2)]; + Tg = ii[WS(is, 3)]; + Tm = Tf + Tg; + Te = Tc - Td; + Tp = Tl + Tm; + Th = Tf - Tg; + Tn = KP559016994 * (Tl - Tm); + } + ro[0] = T1 + T8; + io[0] = To + Tp; + { + 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(os, 4)] = Tb - Ti; + ro[WS(os, 3)] = Tj + Tk; + ro[WS(os, 1)] = Tb + Ti; + ro[WS(os, 2)] = Tj - Tk; + } + { + E Tu, Tv, Tr, Tw, Tq; + Tu = FMA(KP951056516, Ts, KP587785252 * Tt); + Tv = FNMS(KP587785252, Ts, KP951056516 * Tt); + Tq = FNMS(KP250000000, Tp, To); + Tr = Tn + Tq; + Tw = Tq - Tn; + io[WS(os, 1)] = Tr - Tu; + io[WS(os, 3)] = Tw - Tv; + io[WS(os, 4)] = Tu + Tr; + io[WS(os, 2)] = Tv + Tw; + } + } +} + +static const kdft_desc desc = { 5, "n1_5", {26, 6, 6, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_5) (planner *p) { + X(kdft_register) (p, n1_5, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_6.c b/src/fftw3/dft/codelets/standard/n1_6.c new file mode 100644 index 0000000..114679d --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_6.c @@ -0,0 +1,119 @@ +/* + * 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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 6 -name n1_6 -include n.h */ + +/* + * This function contains 36 FP additions, 8 FP multiplications, + * (or, 32 additions, 4 multiplications, 4 fused multiply/add), + * 23 stack variables, and 24 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_6.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_6.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_6.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_6(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T3, Tb, Tq, Tx, T6, Tc, T9, Td, Ta, Te, Ti, Tu, Tl, Tv, Tr; + E Ty; + { + E T1, T2, To, Tp; + T1 = ri[0]; + T2 = ri[WS(is, 3)]; + T3 = T1 - T2; + Tb = T1 + T2; + To = ii[0]; + Tp = ii[WS(is, 3)]; + Tq = To - Tp; + Tx = To + Tp; + } + { + E T4, T5, T7, T8; + T4 = ri[WS(is, 2)]; + T5 = ri[WS(is, 5)]; + T6 = T4 - T5; + Tc = T4 + T5; + T7 = ri[WS(is, 4)]; + T8 = ri[WS(is, 1)]; + T9 = T7 - T8; + Td = T7 + T8; + } + Ta = T6 + T9; + Te = Tc + Td; + { + E Tg, Th, Tj, Tk; + Tg = ii[WS(is, 2)]; + Th = ii[WS(is, 5)]; + Ti = Tg - Th; + Tu = Tg + Th; + Tj = ii[WS(is, 4)]; + Tk = ii[WS(is, 1)]; + Tl = Tj - Tk; + Tv = Tj + Tk; + } + Tr = Ti + Tl; + Ty = Tu + Tv; + ro[WS(os, 3)] = T3 + Ta; + io[WS(os, 3)] = Tq + Tr; + ro[0] = Tb + Te; + io[0] = Tx + Ty; + { + E Tf, Tm, Tn, Ts; + Tf = FNMS(KP500000000, Ta, T3); + Tm = KP866025403 * (Ti - Tl); + ro[WS(os, 5)] = Tf - Tm; + ro[WS(os, 1)] = Tf + Tm; + Tn = KP866025403 * (T9 - T6); + Ts = FNMS(KP500000000, Tr, Tq); + io[WS(os, 1)] = Tn + Ts; + io[WS(os, 5)] = Ts - Tn; + } + { + E Tt, Tw, Tz, TA; + Tt = FNMS(KP500000000, Te, Tb); + Tw = KP866025403 * (Tu - Tv); + ro[WS(os, 2)] = Tt - Tw; + ro[WS(os, 4)] = Tt + Tw; + Tz = FNMS(KP500000000, Ty, Tx); + TA = KP866025403 * (Td - Tc); + io[WS(os, 2)] = Tz - TA; + io[WS(os, 4)] = TA + Tz; + } + } +} + +static const kdft_desc desc = { 6, "n1_6", {32, 4, 4, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_6) (planner *p) { + X(kdft_register) (p, n1_6, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_7.c b/src/fftw3/dft/codelets/standard/n1_7.c new file mode 100644 index 0000000..03c892d --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_7.c @@ -0,0 +1,129 @@ +/* + * 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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 7 -name n1_7 -include n.h */ + +/* + * This function contains 60 FP additions, 36 FP multiplications, + * (or, 36 additions, 12 multiplications, 24 fused multiply/add), + * 25 stack variables, and 28 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_7.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_7.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_7.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_7(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, 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, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T1, Tu, T4, Tq, Te, Tx, T7, Ts, Tk, Tv, Ta, Tr, Th, Tw; + T1 = ri[0]; + Tu = ii[0]; + { + E T2, T3, Tc, Td; + T2 = ri[WS(is, 1)]; + T3 = ri[WS(is, 6)]; + T4 = T2 + T3; + Tq = T3 - T2; + Tc = ii[WS(is, 1)]; + Td = ii[WS(is, 6)]; + Te = Tc - Td; + Tx = Tc + Td; + } + { + E T5, T6, Ti, Tj; + T5 = ri[WS(is, 2)]; + T6 = ri[WS(is, 5)]; + T7 = T5 + T6; + Ts = T6 - T5; + Ti = ii[WS(is, 2)]; + Tj = ii[WS(is, 5)]; + Tk = Ti - Tj; + Tv = Ti + Tj; + } + { + E T8, T9, Tf, Tg; + T8 = ri[WS(is, 3)]; + T9 = ri[WS(is, 4)]; + Ta = T8 + T9; + Tr = T9 - T8; + Tf = ii[WS(is, 3)]; + Tg = ii[WS(is, 4)]; + Th = Tf - Tg; + Tw = Tf + Tg; + } + ro[0] = T1 + T4 + T7 + Ta; + io[0] = Tu + Tx + Tv + Tw; + { + E Tl, Tb, TB, TC; + Tl = FNMS(KP781831482, Th, KP974927912 * Te) - (KP433883739 * Tk); + Tb = FMA(KP623489801, Ta, T1) + FNMA(KP900968867, T7, KP222520933 * T4); + ro[WS(os, 5)] = Tb - Tl; + ro[WS(os, 2)] = Tb + Tl; + TB = FNMS(KP781831482, Tr, KP974927912 * Tq) - (KP433883739 * Ts); + TC = FMA(KP623489801, Tw, Tu) + FNMA(KP900968867, Tv, KP222520933 * Tx); + io[WS(os, 2)] = TB + TC; + io[WS(os, 5)] = TC - TB; + } + { + E Tn, Tm, Tz, TA; + Tn = FMA(KP781831482, Te, KP974927912 * Tk) + (KP433883739 * Th); + Tm = FMA(KP623489801, T4, T1) + FNMA(KP900968867, Ta, KP222520933 * T7); + ro[WS(os, 6)] = Tm - Tn; + ro[WS(os, 1)] = Tm + Tn; + Tz = FMA(KP781831482, Tq, KP974927912 * Ts) + (KP433883739 * Tr); + TA = FMA(KP623489801, Tx, Tu) + FNMA(KP900968867, Tw, KP222520933 * Tv); + io[WS(os, 1)] = Tz + TA; + io[WS(os, 6)] = TA - Tz; + } + { + E Tp, To, Tt, Ty; + Tp = FMA(KP433883739, Te, KP974927912 * Th) - (KP781831482 * Tk); + To = FMA(KP623489801, T7, T1) + FNMA(KP222520933, Ta, KP900968867 * T4); + ro[WS(os, 4)] = To - Tp; + ro[WS(os, 3)] = To + Tp; + Tt = FMA(KP433883739, Tq, KP974927912 * Tr) - (KP781831482 * Ts); + Ty = FMA(KP623489801, Tv, Tu) + FNMA(KP222520933, Tw, KP900968867 * Tx); + io[WS(os, 3)] = Tt + Ty; + io[WS(os, 4)] = Ty - Tt; + } + } +} + +static const kdft_desc desc = { 7, "n1_7", {36, 12, 24, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_7) (planner *p) { + X(kdft_register) (p, n1_7, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_8.c b/src/fftw3/dft/codelets/standard/n1_8.c new file mode 100644 index 0000000..114592d --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_8.c @@ -0,0 +1,147 @@ +/* + * 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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 8 -name n1_8 -include n.h */ + +/* + * This function contains 52 FP additions, 4 FP multiplications, + * (or, 52 additions, 4 multiplications, 0 fused multiply/add), + * 28 stack variables, and 32 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_8(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T3, Tn, Ti, TC, T6, TB, Tl, To, Td, TN, Tz, TH, Ta, TM, Tu; + E TG; + { + E T1, T2, Tj, Tk; + T1 = ri[0]; + T2 = ri[WS(is, 4)]; + T3 = T1 + T2; + Tn = T1 - T2; + { + E Tg, Th, T4, T5; + Tg = ii[0]; + Th = ii[WS(is, 4)]; + Ti = Tg + Th; + TC = Tg - Th; + T4 = ri[WS(is, 2)]; + T5 = ri[WS(is, 6)]; + T6 = T4 + T5; + TB = T4 - T5; + } + Tj = ii[WS(is, 2)]; + Tk = ii[WS(is, 6)]; + Tl = Tj + Tk; + To = Tj - Tk; + { + E Tb, Tc, Tv, Tw, Tx, Ty; + Tb = ri[WS(is, 7)]; + Tc = ri[WS(is, 3)]; + Tv = Tb - Tc; + Tw = ii[WS(is, 7)]; + Tx = ii[WS(is, 3)]; + Ty = Tw - Tx; + Td = Tb + Tc; + TN = Tw + Tx; + Tz = Tv - Ty; + TH = Tv + Ty; + } + { + E T8, T9, Tq, Tr, Ts, Tt; + T8 = ri[WS(is, 1)]; + T9 = ri[WS(is, 5)]; + Tq = T8 - T9; + Tr = ii[WS(is, 1)]; + Ts = ii[WS(is, 5)]; + Tt = Tr - Ts; + Ta = T8 + T9; + TM = Tr + Ts; + Tu = Tq + Tt; + TG = Tt - Tq; + } + } + { + E T7, Te, TP, TQ; + T7 = T3 + T6; + Te = Ta + Td; + ro[WS(os, 4)] = T7 - Te; + ro[0] = T7 + Te; + TP = Ti + Tl; + TQ = TM + TN; + io[WS(os, 4)] = TP - TQ; + io[0] = TP + TQ; + } + { + E Tf, Tm, TL, TO; + Tf = Td - Ta; + Tm = Ti - Tl; + io[WS(os, 2)] = Tf + Tm; + io[WS(os, 6)] = Tm - Tf; + TL = T3 - T6; + TO = TM - TN; + ro[WS(os, 6)] = TL - TO; + ro[WS(os, 2)] = TL + TO; + } + { + E Tp, TA, TJ, TK; + Tp = Tn + To; + TA = KP707106781 * (Tu + Tz); + ro[WS(os, 5)] = Tp - TA; + ro[WS(os, 1)] = Tp + TA; + TJ = TC - TB; + TK = KP707106781 * (TG + TH); + io[WS(os, 5)] = TJ - TK; + io[WS(os, 1)] = TJ + TK; + } + { + E TD, TE, TF, TI; + TD = TB + TC; + TE = KP707106781 * (Tz - Tu); + io[WS(os, 7)] = TD - TE; + io[WS(os, 3)] = TD + TE; + TF = Tn - To; + TI = KP707106781 * (TG - TH); + ro[WS(os, 7)] = TF - TI; + ro[WS(os, 3)] = TF + TI; + } + } +} + +static const kdft_desc desc = { 8, "n1_8", {52, 4, 0, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_8) (planner *p) { + X(kdft_register) (p, n1_8, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/n1_9.c b/src/fftw3/dft/codelets/standard/n1_9.c new file mode 100644 index 0000000..07308dc --- /dev/null +++ b/src/fftw3/dft/codelets/standard/n1_9.c @@ -0,0 +1,193 @@ +/* + * 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 21:29:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_notw -compact -variables 4 -n 9 -name n1_9 -include n.h */ + +/* + * This function contains 80 FP additions, 40 FP multiplications, + * (or, 60 additions, 20 multiplications, 20 fused multiply/add), + * 39 stack variables, and 36 memory accesses + */ +/* + * Generator Id's : + * $Id: n1_9.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_9.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: n1_9.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "n.h" + +static void n1_9(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, int v, int ivs, int ovs) +{ + 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 = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs) { + E T5, TO, Th, Tk, T1g, TR, Ta, T1c, Tq, TW, Tv, TX, Tf, T1d, TB; + E T10, TG, TZ; + { + E T1, T2, T3, T4; + T1 = ri[0]; + T2 = ri[WS(is, 3)]; + T3 = ri[WS(is, 6)]; + T4 = T2 + T3; + T5 = T1 + T4; + TO = KP866025403 * (T3 - T2); + Th = FNMS(KP500000000, T4, T1); + } + { + E TP, Ti, Tj, TQ; + TP = ii[0]; + Ti = ii[WS(is, 3)]; + Tj = ii[WS(is, 6)]; + TQ = Ti + Tj; + Tk = KP866025403 * (Ti - Tj); + T1g = TP + TQ; + TR = FNMS(KP500000000, TQ, TP); + } + { + E T6, Ts, T9, Tr, Tp, Tt, Tm, Tu; + T6 = ri[WS(is, 1)]; + Ts = ii[WS(is, 1)]; + { + E T7, T8, Tn, To; + T7 = ri[WS(is, 4)]; + T8 = ri[WS(is, 7)]; + T9 = T7 + T8; + Tr = KP866025403 * (T8 - T7); + Tn = ii[WS(is, 4)]; + To = ii[WS(is, 7)]; + Tp = KP866025403 * (Tn - To); + Tt = Tn + To; + } + Ta = T6 + T9; + T1c = Ts + Tt; + Tm = FNMS(KP500000000, T9, T6); + Tq = Tm + Tp; + TW = Tm - Tp; + Tu = FNMS(KP500000000, Tt, Ts); + Tv = Tr + Tu; + TX = Tu - Tr; + } + { + E Tb, TD, Te, TC, TA, TE, Tx, TF; + Tb = ri[WS(is, 2)]; + TD = ii[WS(is, 2)]; + { + E Tc, Td, Ty, Tz; + Tc = ri[WS(is, 5)]; + Td = ri[WS(is, 8)]; + Te = Tc + Td; + TC = KP866025403 * (Td - Tc); + Ty = ii[WS(is, 5)]; + Tz = ii[WS(is, 8)]; + TA = KP866025403 * (Ty - Tz); + TE = Ty + Tz; + } + Tf = Tb + Te; + T1d = TD + TE; + Tx = FNMS(KP500000000, Te, Tb); + TB = Tx + TA; + T10 = Tx - TA; + TF = FNMS(KP500000000, TE, TD); + TG = TC + TF; + TZ = TF - TC; + } + { + E T1e, Tg, T1b, T1f, T1h, T1i; + T1e = KP866025403 * (T1c - T1d); + Tg = Ta + Tf; + T1b = FNMS(KP500000000, Tg, T5); + ro[0] = T5 + Tg; + ro[WS(os, 3)] = T1b + T1e; + ro[WS(os, 6)] = T1b - T1e; + T1f = KP866025403 * (Tf - Ta); + T1h = T1c + T1d; + T1i = FNMS(KP500000000, T1h, T1g); + io[WS(os, 3)] = T1f + T1i; + io[0] = T1g + T1h; + io[WS(os, 6)] = T1i - T1f; + } + { + E Tl, TS, TI, TN, TM, TT, TJ, TU; + Tl = Th + Tk; + TS = TO + TR; + { + E Tw, TH, TK, TL; + Tw = FMA(KP766044443, Tq, KP642787609 * Tv); + TH = FMA(KP173648177, TB, KP984807753 * TG); + TI = Tw + TH; + TN = KP866025403 * (TH - Tw); + TK = FNMS(KP642787609, Tq, KP766044443 * Tv); + TL = FNMS(KP984807753, TB, KP173648177 * TG); + TM = KP866025403 * (TK - TL); + TT = TK + TL; + } + ro[WS(os, 1)] = Tl + TI; + io[WS(os, 1)] = TS + TT; + TJ = FNMS(KP500000000, TI, Tl); + ro[WS(os, 7)] = TJ - TM; + ro[WS(os, 4)] = TJ + TM; + TU = FNMS(KP500000000, TT, TS); + io[WS(os, 4)] = TN + TU; + io[WS(os, 7)] = TU - TN; + } + { + E TV, T14, T12, T13, T17, T1a, T18, T19; + TV = Th - Tk; + T14 = TR - TO; + { + E TY, T11, T15, T16; + TY = FMA(KP173648177, TW, KP984807753 * TX); + T11 = FNMS(KP939692620, T10, KP342020143 * TZ); + T12 = TY + T11; + T13 = KP866025403 * (T11 - TY); + T15 = FNMS(KP984807753, TW, KP173648177 * TX); + T16 = FMA(KP342020143, T10, KP939692620 * TZ); + T17 = T15 - T16; + T1a = KP866025403 * (T15 + T16); + } + ro[WS(os, 2)] = TV + T12; + io[WS(os, 2)] = T14 + T17; + T18 = FNMS(KP500000000, T17, T14); + io[WS(os, 5)] = T13 + T18; + io[WS(os, 8)] = T18 - T13; + T19 = FNMS(KP500000000, T12, TV); + ro[WS(os, 8)] = T19 - T1a; + ro[WS(os, 5)] = T19 + T1a; + } + } +} + +static const kdft_desc desc = { 9, "n1_9", {60, 20, 20, 0}, &GENUS, 0, 0, 0, 0 }; +void X(codelet_n1_9) (planner *p) { + X(kdft_register) (p, n1_9, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/scodlist.c b/src/fftw3/dft/codelets/standard/scodlist.c new file mode 100644 index 0000000..9524d36 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/scodlist.c @@ -0,0 +1,82 @@ +#include "ifftw.h" + +extern void X(codelet_n1_2)(planner *); +extern void X(codelet_n1_3)(planner *); +extern void X(codelet_n1_4)(planner *); +extern void X(codelet_n1_5)(planner *); +extern void X(codelet_n1_6)(planner *); +extern void X(codelet_n1_7)(planner *); +extern void X(codelet_n1_8)(planner *); +extern void X(codelet_n1_9)(planner *); +extern void X(codelet_n1_10)(planner *); +extern void X(codelet_n1_11)(planner *); +extern void X(codelet_n1_12)(planner *); +extern void X(codelet_n1_13)(planner *); +extern void X(codelet_n1_14)(planner *); +extern void X(codelet_n1_15)(planner *); +extern void X(codelet_n1_16)(planner *); +extern void X(codelet_m1_16)(planner *); +extern void X(codelet_m1_32)(planner *); +extern void X(codelet_m1_64)(planner *); +extern void X(codelet_t1_2)(planner *); +extern void X(codelet_t1_3)(planner *); +extern void X(codelet_t1_4)(planner *); +extern void X(codelet_t1_5)(planner *); +extern void X(codelet_t1_6)(planner *); +extern void X(codelet_t1_7)(planner *); +extern void X(codelet_t1_8)(planner *); +extern void X(codelet_t1_9)(planner *); +extern void X(codelet_t1_10)(planner *); +extern void X(codelet_t1_12)(planner *); +extern void X(codelet_t1_15)(planner *); +extern void X(codelet_t1_16)(planner *); +extern void X(codelet_t1_32)(planner *); +extern void X(codelet_t1_64)(planner *); +extern void X(codelet_t2_4)(planner *); +extern void X(codelet_t2_8)(planner *); +extern void X(codelet_t2_16)(planner *); +extern void X(codelet_t2_32)(planner *); +extern void X(codelet_t2_64)(planner *); + + +extern const solvtab X(solvtab_dft_standard); +const solvtab X(solvtab_dft_standard) = { + SOLVTAB(X(codelet_n1_2)), + SOLVTAB(X(codelet_n1_3)), + SOLVTAB(X(codelet_n1_4)), + SOLVTAB(X(codelet_n1_5)), + SOLVTAB(X(codelet_n1_6)), + SOLVTAB(X(codelet_n1_7)), + SOLVTAB(X(codelet_n1_8)), + SOLVTAB(X(codelet_n1_9)), + SOLVTAB(X(codelet_n1_10)), + SOLVTAB(X(codelet_n1_11)), + SOLVTAB(X(codelet_n1_12)), + SOLVTAB(X(codelet_n1_13)), + SOLVTAB(X(codelet_n1_14)), + SOLVTAB(X(codelet_n1_15)), + SOLVTAB(X(codelet_n1_16)), + SOLVTAB(X(codelet_m1_16)), + SOLVTAB(X(codelet_m1_32)), + SOLVTAB(X(codelet_m1_64)), + SOLVTAB(X(codelet_t1_2)), + SOLVTAB(X(codelet_t1_3)), + SOLVTAB(X(codelet_t1_4)), + SOLVTAB(X(codelet_t1_5)), + SOLVTAB(X(codelet_t1_6)), + SOLVTAB(X(codelet_t1_7)), + SOLVTAB(X(codelet_t1_8)), + SOLVTAB(X(codelet_t1_9)), + SOLVTAB(X(codelet_t1_10)), + SOLVTAB(X(codelet_t1_12)), + SOLVTAB(X(codelet_t1_15)), + SOLVTAB(X(codelet_t1_16)), + SOLVTAB(X(codelet_t1_32)), + SOLVTAB(X(codelet_t1_64)), + SOLVTAB(X(codelet_t2_4)), + SOLVTAB(X(codelet_t2_8)), + SOLVTAB(X(codelet_t2_16)), + SOLVTAB(X(codelet_t2_32)), + SOLVTAB(X(codelet_t2_64)), + SOLVTAB_END +}; diff --git a/src/fftw3/dft/codelets/standard/t1_10.c b/src/fftw3/dft/codelets/standard/t1_10.c new file mode 100644 index 0000000..cd11522 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:30:00 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 10 -name t1_10 -include t.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: t1_10.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_10.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_10.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_10(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 18) { + E T7, T1O, TT, T1C, TF, TQ, TR, T1o, T1p, T1y, TX, TY, TZ, T1d, T1g; + E T1M, Ti, Tt, Tu, T1r, T1s, T1x, TU, TV, TW, T16, T19, T1L; + { + E T1, T1B, T6, T1A; + T1 = ri[0]; + T1B = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 5)]; + T5 = ii[WS(ios, 5)]; + 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, T1b, TP, T1f, TE, T1c, TK, T1e; + { + E Tw, Ty, Tv, Tx; + Tw = ri[WS(ios, 4)]; + Ty = ii[WS(ios, 4)]; + Tv = W[6]; + Tx = W[7]; + Tz = FMA(Tv, Tw, Tx * Ty); + T1b = FNMS(Tx, Tw, Tv * Ty); + } + { + E TM, TO, TL, TN; + TM = ri[WS(ios, 1)]; + TO = ii[WS(ios, 1)]; + TL = W[0]; + TN = W[1]; + TP = FMA(TL, TM, TN * TO); + T1f = FNMS(TN, TM, TL * TO); + } + { + E TB, TD, TA, TC; + TB = ri[WS(ios, 9)]; + TD = ii[WS(ios, 9)]; + TA = W[16]; + TC = W[17]; + TE = FMA(TA, TB, TC * TD); + T1c = FNMS(TC, TB, TA * TD); + } + { + E TH, TJ, TG, TI; + TH = ri[WS(ios, 6)]; + TJ = ii[WS(ios, 6)]; + TG = W[10]; + TI = W[11]; + TK = FMA(TG, TH, TI * TJ); + T1e = FNMS(TI, TH, TG * TJ); + } + TF = Tz - TE; + TQ = TK - TP; + TR = TF + TQ; + T1o = T1b + T1c; + T1p = T1e + T1f; + T1y = T1o + T1p; + TX = Tz + TE; + TY = TK + TP; + TZ = TX + TY; + T1d = T1b - T1c; + T1g = T1e - T1f; + T1M = T1d + T1g; + } + { + E Tc, T14, Ts, T18, Th, T15, Tn, T17; + { + E T9, Tb, T8, Ta; + T9 = ri[WS(ios, 2)]; + Tb = ii[WS(ios, 2)]; + T8 = W[2]; + Ta = W[3]; + Tc = FMA(T8, T9, Ta * Tb); + T14 = FNMS(Ta, T9, T8 * Tb); + } + { + E Tp, Tr, To, Tq; + Tp = ri[WS(ios, 3)]; + Tr = ii[WS(ios, 3)]; + To = W[4]; + Tq = W[5]; + Ts = FMA(To, Tp, Tq * Tr); + T18 = FNMS(Tq, Tp, To * Tr); + } + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 7)]; + Tg = ii[WS(ios, 7)]; + Td = W[12]; + Tf = W[13]; + Th = FMA(Td, Te, Tf * Tg); + T15 = FNMS(Tf, Te, Td * Tg); + } + { + E Tk, Tm, Tj, Tl; + Tk = ri[WS(ios, 8)]; + Tm = ii[WS(ios, 8)]; + Tj = W[14]; + Tl = W[15]; + Tn = FMA(Tj, Tk, Tl * Tm); + T17 = FNMS(Tl, Tk, Tj * Tm); + } + Ti = Tc - Th; + Tt = Tn - Ts; + Tu = Ti + Tt; + T1r = T14 + T15; + T1s = T17 + T18; + T1x = T1r + T1s; + TU = Tc + Th; + TV = Tn + Ts; + TW = TU + TV; + T16 = T14 - T15; + T19 = T17 - T18; + T1L = T16 + T19; + } + { + E T11, TS, T12, T1i, T1k, T1a, T1h, T1j, T13; + T11 = KP559016994 * (Tu - TR); + TS = Tu + TR; + T12 = FNMS(KP250000000, TS, T7); + T1a = T16 - T19; + T1h = T1d - T1g; + T1i = FMA(KP951056516, T1a, KP587785252 * T1h); + T1k = FNMS(KP587785252, T1a, KP951056516 * T1h); + ri[WS(ios, 5)] = T7 + TS; + T1j = T12 - T11; + ri[WS(ios, 7)] = T1j - T1k; + ri[WS(ios, 3)] = T1j + T1k; + T13 = T11 + T12; + ri[WS(ios, 9)] = T13 - T1i; + ri[WS(ios, 1)] = T13 + T1i; + } + { + E T1N, T1P, T1Q, T1U, T1W, T1S, T1T, T1V, T1R; + T1N = KP559016994 * (T1L - T1M); + T1P = T1L + T1M; + T1Q = FNMS(KP250000000, T1P, T1O); + T1S = Ti - Tt; + T1T = TF - TQ; + T1U = FMA(KP951056516, T1S, KP587785252 * T1T); + T1W = FNMS(KP587785252, T1S, KP951056516 * T1T); + ii[WS(ios, 5)] = T1P + T1O; + T1V = T1Q - T1N; + ii[WS(ios, 3)] = T1V - T1W; + ii[WS(ios, 7)] = T1W + T1V; + T1R = T1N + T1Q; + ii[WS(ios, 1)] = T1R - T1U; + ii[WS(ios, 9)] = T1U + T1R; + } + { + E T1m, T10, T1l, T1u, T1w, T1q, T1t, T1v, T1n; + T1m = KP559016994 * (TW - TZ); + T10 = TW + TZ; + T1l = FNMS(KP250000000, T10, TT); + T1q = T1o - T1p; + T1t = T1r - T1s; + T1u = FNMS(KP587785252, T1t, KP951056516 * T1q); + T1w = FMA(KP951056516, T1t, KP587785252 * T1q); + ri[0] = TT + T10; + T1v = T1m + T1l; + ri[WS(ios, 4)] = T1v - T1w; + ri[WS(ios, 6)] = T1v + T1w; + T1n = T1l - T1m; + ri[WS(ios, 2)] = T1n - T1u; + ri[WS(ios, 8)] = T1n + T1u; + } + { + 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); + ii[0] = T1z + T1C; + T1K = T1H + T1G; + ii[WS(ios, 4)] = T1J + T1K; + ii[WS(ios, 6)] = T1K - T1J; + T1I = T1G - T1H; + ii[WS(ios, 2)] = T1F + T1I; + ii[WS(ios, 8)] = T1I - T1F; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 10}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 10, "t1_10", twinstr, {72, 30, 30, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_10) (planner *p) { + X(kdft_dit_register) (p, t1_10, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_12.c b/src/fftw3/dft/codelets/standard/t1_12.c new file mode 100644 index 0000000..e0ea2eb --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:30:03 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 12 -name t1_12 -include t.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: t1_12.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_12.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_12.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_12(R *ri, R *ii, const R *W, stride ios, int m, int dist) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 22) { + E T1, T1W, T18, T21, Tc, T15, T1V, T22, TR, T1E, T1o, T1D, T12, T1l, T1F; + E T1G, Ti, T1S, T1d, T24, Tt, T1a, T1T, T25, TA, T1z, T1j, T1y, TL, T1g; + E T1A, T1B; + { + E T6, T16, Tb, T17; + T1 = ri[0]; + T1W = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 4)]; + T5 = ii[WS(ios, 4)]; + T2 = W[6]; + T4 = W[7]; + T6 = FMA(T2, T3, T4 * T5); + T16 = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = ri[WS(ios, 8)]; + Ta = ii[WS(ios, 8)]; + T7 = W[14]; + T9 = W[15]; + Tb = FMA(T7, T8, T9 * Ta); + T17 = FNMS(T9, T8, T7 * Ta); + } + T18 = KP866025403 * (T16 - T17); + T21 = KP866025403 * (Tb - T6); + Tc = T6 + Tb; + T15 = FNMS(KP500000000, Tc, T1); + T1V = T16 + T17; + T22 = FNMS(KP500000000, T1V, T1W); + } + { + E T11, T1n, TW, T1m; + { + E TO, TQ, TN, TP; + TO = ri[WS(ios, 9)]; + TQ = ii[WS(ios, 9)]; + TN = W[16]; + TP = W[17]; + TR = FMA(TN, TO, TP * TQ); + T1E = FNMS(TP, TO, TN * TQ); + } + { + E TY, T10, TX, TZ; + TY = ri[WS(ios, 5)]; + T10 = ii[WS(ios, 5)]; + TX = W[8]; + TZ = W[9]; + T11 = FMA(TX, TY, TZ * T10); + T1n = FNMS(TZ, TY, TX * T10); + } + { + E TT, TV, TS, TU; + TT = ri[WS(ios, 1)]; + TV = ii[WS(ios, 1)]; + 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 Ts, T1c, Tn, T1b; + { + E Tf, Th, Te, Tg; + Tf = ri[WS(ios, 6)]; + Th = ii[WS(ios, 6)]; + Te = W[10]; + Tg = W[11]; + Ti = FMA(Te, Tf, Tg * Th); + T1S = FNMS(Tg, Tf, Te * Th); + } + { + E Tp, Tr, To, Tq; + Tp = ri[WS(ios, 2)]; + Tr = ii[WS(ios, 2)]; + To = W[2]; + Tq = W[3]; + Ts = FMA(To, Tp, Tq * Tr); + T1c = FNMS(Tq, Tp, To * Tr); + } + { + E Tk, Tm, Tj, Tl; + Tk = ri[WS(ios, 10)]; + Tm = ii[WS(ios, 10)]; + Tj = W[18]; + Tl = W[19]; + Tn = FMA(Tj, Tk, Tl * Tm); + T1b = FNMS(Tl, Tk, Tj * Tm); + } + T1d = KP866025403 * (T1b - T1c); + T24 = KP866025403 * (Ts - Tn); + Tt = Tn + Ts; + T1a = FNMS(KP500000000, Tt, Ti); + T1T = T1b + T1c; + T25 = FNMS(KP500000000, T1T, T1S); + } + { + E TK, T1i, TF, T1h; + { + E Tx, Tz, Tw, Ty; + Tx = ri[WS(ios, 3)]; + Tz = ii[WS(ios, 3)]; + Tw = W[4]; + Ty = W[5]; + TA = FMA(Tw, Tx, Ty * Tz); + T1z = FNMS(Ty, Tx, Tw * Tz); + } + { + E TH, TJ, TG, TI; + TH = ri[WS(ios, 11)]; + TJ = ii[WS(ios, 11)]; + TG = W[20]; + TI = W[21]; + TK = FMA(TG, TH, TI * TJ); + T1i = FNMS(TI, TH, TG * TJ); + } + { + E TC, TE, TB, TD; + TC = ri[WS(ios, 7)]; + TE = ii[WS(ios, 7)]; + TB = W[12]; + TD = W[13]; + TF = FMA(TB, TC, TD * TE); + T1h = FNMS(TD, TC, TB * TE); + } + T1j = KP866025403 * (T1h - T1i); + T1y = KP866025403 * (TK - TF); + TL = TF + TK; + T1g = FNMS(KP500000000, TL, TA); + T1A = T1h + T1i; + T1B = FNMS(KP500000000, T1A, T1z); + } + { + 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 = T1z + T1A; + T1P = T1E + T1F; + T1Q = T1O - T1P; + T1R = T1O + T1P; + } + ri[WS(ios, 6)] = Tv - T14; + ii[WS(ios, 6)] = T1Y - T1R; + ri[0] = Tv + T14; + ii[0] = T1R + T1Y; + ri[WS(ios, 3)] = T1N - T1Q; + ii[WS(ios, 3)] = T1Z + T20; + ri[WS(ios, 9)] = T1N + T1Q; + ii[WS(ios, 9)] = T20 - T1Z; + } + { + E T1t, T1x, T27, T2a, T1w, T28, T1I, T29; + { + E T1r, T1s, T23, T26; + T1r = T15 + T18; + T1s = T1a + T1d; + T1t = T1r + T1s; + T1x = T1r - T1s; + T23 = T21 + T22; + T26 = T24 + T25; + T27 = T23 - T26; + T2a = T26 + T23; + } + { + E T1u, T1v, T1C, T1H; + T1u = T1g + T1j; + T1v = T1l + T1o; + T1w = T1u + T1v; + T28 = T1u - T1v; + T1C = T1y + T1B; + T1H = T1D + T1G; + T1I = T1C - T1H; + T29 = T1C + T1H; + } + ri[WS(ios, 10)] = T1t - T1w; + ii[WS(ios, 10)] = T2a - T29; + ri[WS(ios, 4)] = T1t + T1w; + ii[WS(ios, 4)] = T29 + T2a; + ri[WS(ios, 7)] = T1x - T1I; + ii[WS(ios, 7)] = T28 + T27; + ri[WS(ios, 1)] = T1x + T1I; + ii[WS(ios, 1)] = T27 - T28; + } + { + E T1f, T1J, T2d, T2f, T1q, T2g, T1M, T2e; + { + E T19, T1e, T2b, T2c; + T19 = T15 - T18; + T1e = T1a - T1d; + T1f = T19 + T1e; + T1J = T19 - T1e; + T2b = T25 - T24; + T2c = T22 - T21; + T2d = T2b + T2c; + T2f = T2c - T2b; + } + { + E T1k, T1p, T1K, T1L; + T1k = T1g - T1j; + T1p = T1l - T1o; + T1q = T1k + T1p; + T2g = T1k - T1p; + T1K = T1B - T1y; + T1L = T1G - T1D; + T1M = T1K - T1L; + T2e = T1K + T1L; + } + ri[WS(ios, 2)] = T1f - T1q; + ii[WS(ios, 2)] = T2d - T2e; + ri[WS(ios, 8)] = T1f + T1q; + ii[WS(ios, 8)] = T2e + T2d; + ri[WS(ios, 11)] = T1J - T1M; + ii[WS(ios, 11)] = T2g + T2f; + ri[WS(ios, 5)] = T1J + T1M; + ii[WS(ios, 5)] = T2f - T2g; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 12}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 12, "t1_12", twinstr, {88, 30, 30, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_12) (planner *p) { + X(kdft_dit_register) (p, t1_12, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_15.c b/src/fftw3/dft/codelets/standard/t1_15.c new file mode 100644 index 0000000..1c721cc --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:30:07 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 15 -name t1_15 -include t.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: t1_15.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_15.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_15.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_15(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + 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 = ri[0]; + T2R = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 5)]; + T5 = ii[WS(ios, 5)]; + T2 = W[8]; + T4 = W[9]; + T6 = FMA(T2, T3, T4 * T5); + T1o = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = ri[WS(ios, 10)]; + Ta = ii[WS(ios, 10)]; + 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 = ri[WS(ios, 6)]; + TQ = ii[WS(ios, 6)]; + TN = W[10]; + TP = W[11]; + TR = FMA(TN, TO, TP * TQ); + T2c = FNMS(TP, TO, TN * TQ); + } + { + E T15, T17, T14, T16; + T15 = ri[WS(ios, 9)]; + T17 = ii[WS(ios, 9)]; + T14 = W[16]; + T16 = W[17]; + T18 = FMA(T14, T15, T16 * T17); + T2h = FNMS(T16, T15, T14 * T17); + } + { + E TT, TV, TS, TU; + TT = ri[WS(ios, 11)]; + TV = ii[WS(ios, 11)]; + TS = W[20]; + TU = W[21]; + TW = FMA(TS, TT, TU * TV); + T1E = FNMS(TU, TT, TS * TV); + } + { + E TY, T10, TX, TZ; + TY = ri[WS(ios, 1)]; + T10 = ii[WS(ios, 1)]; + 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 = ri[WS(ios, 14)]; + T1c = ii[WS(ios, 14)]; + T19 = W[26]; + T1b = W[27]; + T1d = FMA(T19, T1a, T1b * T1c); + T1J = FNMS(T1b, T1a, T19 * T1c); + } + { + E T1f, T1h, T1e, T1g; + T1f = ri[WS(ios, 4)]; + T1h = ii[WS(ios, 4)]; + 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 * (T1i - T1d); + T2j = FNMS(KP500000000, T2i, T2h); + T2k = T2g + T2j; + T2t = T2j - T2g; + { + 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, Tn, T1t, Ts, T1u, Tt, T22, TE, T1y, TJ, T1z, TK; + E T27; + { + E Tf, Th, Te, Tg; + Tf = ri[WS(ios, 3)]; + Th = ii[WS(ios, 3)]; + Te = W[4]; + Tg = W[5]; + Ti = FMA(Te, Tf, Tg * Th); + T21 = FNMS(Tg, Tf, Te * Th); + } + { + E Tw, Ty, Tv, Tx; + Tw = ri[WS(ios, 12)]; + Ty = ii[WS(ios, 12)]; + Tv = W[22]; + Tx = W[23]; + Tz = FMA(Tv, Tw, Tx * Ty); + T26 = FNMS(Tx, Tw, Tv * Ty); + } + { + E Tk, Tm, Tj, Tl; + Tk = ri[WS(ios, 8)]; + Tm = ii[WS(ios, 8)]; + Tj = W[14]; + Tl = W[15]; + Tn = FMA(Tj, Tk, Tl * Tm); + T1t = FNMS(Tl, Tk, Tj * Tm); + } + { + E Tp, Tr, To, Tq; + Tp = ri[WS(ios, 13)]; + Tr = ii[WS(ios, 13)]; + 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 TB, TD, TA, TC; + TB = ri[WS(ios, 2)]; + TD = ii[WS(ios, 2)]; + TA = W[2]; + TC = W[3]; + TE = FMA(TA, TB, TC * TD); + T1y = FNMS(TC, TB, TA * TD); + } + { + E TG, TI, TF, TH; + TG = ri[WS(ios, 7)]; + TI = ii[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 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); + ri[0] = Td + T1m; + T2L = T2C + T2B; + ri[WS(ios, 9)] = T2L - T2M; + ri[WS(ios, 6)] = T2L + T2M; + T2D = T2B - T2C; + ri[WS(ios, 12)] = T2D - T2K; + ri[WS(ios, 3)] = T2D + T2K; + } + { + E T2U, T2P, T2T, T2Y, T30, T2W, T2X, T2Z, T2V; + T2U = KP559016994 * (T2N - T2O); + T2P = T2N + T2O; + T2T = FNMS(KP250000000, T2P, T2S); + T2W = T13 - T1k; + T2X = Tu - TL; + T2Y = FNMS(KP587785252, T2X, KP951056516 * T2W); + T30 = FMA(KP951056516, T2X, KP587785252 * T2W); + ii[0] = T2P + T2S; + T2Z = T2U + T2T; + ii[WS(ios, 6)] = T2Z - T30; + ii[WS(ios, 9)] = T30 + T2Z; + T2V = T2T - T2U; + ii[WS(ios, 3)] = T2V - T2Y; + ii[WS(ios, 12)] = T2Y + T2V; + } + { + 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); + } + ri[WS(ios, 5)] = T1r + T1O; + T2z = T2q + T2p; + ri[WS(ios, 14)] = T2z - T2A; + ri[WS(ios, 11)] = T2z + T2A; + T2r = T2p - T2q; + ri[WS(ios, 2)] = T2r - T2y; + ri[WS(ios, 8)] = T2r + T2y; + } + { + E T3h, T3q, T3i, T3l, T3m, T3n, T3p, T3o; + { + E T3f, T3g, T3j, T3k; + T3f = T1H - T1M; + T3g = T1w - T1B; + T3h = FNMS(KP587785252, T3g, KP951056516 * T3f); + T3q = FMA(KP951056516, T3g, KP587785252 * T3f); + T3i = T35 - T34; + T3j = T2v + T2w; + T3k = T2s + T2t; + T3l = T3j + T3k; + T3m = FNMS(KP250000000, T3l, T3i); + T3n = KP559016994 * (T3j - T3k); + } + ii[WS(ios, 5)] = T3l + T3i; + T3p = T3n + T3m; + ii[WS(ios, 11)] = T3p - T3q; + ii[WS(ios, 14)] = T3q + T3p; + T3o = T3m - T3n; + ii[WS(ios, 2)] = T3h + T3o; + ii[WS(ios, 8)] = T3o - T3h; + } + { + E T3c, T3d, T36, T37, T33, 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 = T24 + T29; + T32 = T2f + T2k; + T37 = T31 + T32; + T33 = KP559016994 * (T31 - T32); + T38 = FNMS(KP250000000, T37, T36); + } + ii[WS(ios, 10)] = T37 + T36; + T3e = T38 - T33; + ii[WS(ios, 7)] = T3d + T3e; + ii[WS(ios, 13)] = T3e - T3d; + T39 = T33 + T38; + ii[WS(ios, 1)] = T39 - T3c; + ii[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); + } + ri[WS(ios, 10)] = T1P + T1W; + T2n = T1Y - T1X; + ri[WS(ios, 7)] = T2n - T2o; + ri[WS(ios, 13)] = T2n + T2o; + T1Z = T1X + T1Y; + ri[WS(ios, 4)] = T1Z - T2m; + ri[WS(ios, 1)] = T1Z + T2m; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 15}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 15, "t1_15", twinstr, {128, 56, 56, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_15) (planner *p) { + X(kdft_dit_register) (p, t1_15, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_16.c b/src/fftw3/dft/codelets/standard/t1_16.c new file mode 100644 index 0000000..6dc13f9 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:30:07 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 16 -name t1_16 -include t.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: t1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_16(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 30) { + E T7, T37, T1t, T2U, Ti, T38, T1w, T2R, Tu, T2s, T1C, T2c, TF, T2t, T1H; + E T2d, T1f, T1q, T2B, T2C, T2D, T2E, T1Z, T2j, T24, T2k, TS, T13, T2w, T2x; + E T2y, T2z, T1O, T2g, T1T, T2h; + { + E T1, T2T, T6, T2S; + T1 = ri[0]; + T2T = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 8)]; + T5 = ii[WS(ios, 8)]; + 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 = ri[WS(ios, 4)]; + Tb = ii[WS(ios, 4)]; + T8 = W[6]; + Ta = W[7]; + Tc = FMA(T8, T9, Ta * Tb); + T1u = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 12)]; + Tg = ii[WS(ios, 12)]; + 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 = ri[WS(ios, 2)]; + Tn = ii[WS(ios, 2)]; + Tk = W[2]; + Tm = W[3]; + To = FMA(Tk, Tl, Tm * Tn); + T1y = FNMS(Tm, Tl, Tk * Tn); + } + { + E Tq, Ts, Tp, Tr; + Tq = ri[WS(ios, 10)]; + Ts = ii[WS(ios, 10)]; + 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 = ri[WS(ios, 14)]; + Ty = ii[WS(ios, 14)]; + Tv = W[26]; + Tx = W[27]; + Tz = FMA(Tv, Tw, Tx * Ty); + T1E = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = ri[WS(ios, 6)]; + TD = ii[WS(ios, 6)]; + 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 T19, T20, T1p, T1X, T1e, T21, T1k, T1W; + { + E T16, T18, T15, T17; + T16 = ri[WS(ios, 15)]; + T18 = ii[WS(ios, 15)]; + T15 = W[28]; + T17 = W[29]; + T19 = FMA(T15, T16, T17 * T18); + T20 = FNMS(T17, T16, T15 * T18); + } + { + E T1m, T1o, T1l, T1n; + T1m = ri[WS(ios, 11)]; + T1o = ii[WS(ios, 11)]; + T1l = W[20]; + T1n = W[21]; + T1p = FMA(T1l, T1m, T1n * T1o); + T1X = FNMS(T1n, T1m, T1l * T1o); + } + { + E T1b, T1d, T1a, T1c; + T1b = ri[WS(ios, 7)]; + T1d = ii[WS(ios, 7)]; + T1a = W[12]; + T1c = W[13]; + T1e = FMA(T1a, T1b, T1c * T1d); + T21 = FNMS(T1c, T1b, T1a * T1d); + } + { + E T1h, T1j, T1g, T1i; + T1h = ri[WS(ios, 3)]; + T1j = ii[WS(ios, 3)]; + 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 TM, T1K, T12, T1R, TR, T1L, TX, T1Q; + { + E TJ, TL, TI, TK; + TJ = ri[WS(ios, 1)]; + TL = ii[WS(ios, 1)]; + TI = W[0]; + TK = W[1]; + TM = FMA(TI, TJ, TK * TL); + T1K = FNMS(TK, TJ, TI * TL); + } + { + E TZ, T11, TY, T10; + TZ = ri[WS(ios, 13)]; + T11 = ii[WS(ios, 13)]; + TY = W[24]; + T10 = W[25]; + T12 = FMA(TY, TZ, T10 * T11); + T1R = FNMS(T10, TZ, TY * T11); + } + { + E TO, TQ, TN, TP; + TO = ri[WS(ios, 9)]; + TQ = ii[WS(ios, 9)]; + TN = W[16]; + TP = W[17]; + TR = FMA(TN, TO, TP * TQ); + T1L = FNMS(TP, TO, TN * TQ); + } + { + E TU, TW, TT, TV; + TU = ri[WS(ios, 5)]; + TW = ii[WS(ios, 5)]; + 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 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; + } + ri[WS(ios, 11)] = T1J - T26; + ii[WS(ios, 11)] = T3g - T3d; + ri[WS(ios, 3)] = T1J + T26; + ii[WS(ios, 3)] = T3d + T3g; + ri[WS(ios, 15)] = T27 - T2a; + ii[WS(ios, 15)] = T3i - T3h; + ri[WS(ios, 7)] = T27 + T2a; + ii[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); + } + ri[WS(ios, 10)] = T2v - T2G; + ii[WS(ios, 10)] = T32 - T2Z; + ri[WS(ios, 2)] = T2v + T2G; + ii[WS(ios, 2)] = T2Z + T32; + ri[WS(ios, 14)] = T2H - T2K; + ii[WS(ios, 14)] = T34 - T33; + ri[WS(ios, 6)] = T2H + T2K; + ii[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; + } + ri[WS(ios, 9)] = T2f - T2m; + ii[WS(ios, 9)] = T3a - T35; + ri[WS(ios, 1)] = T2f + T2m; + ii[WS(ios, 1)] = T35 + T3a; + ri[WS(ios, 13)] = T2n - T2q; + ii[WS(ios, 13)] = T3c - T3b; + ri[WS(ios, 5)] = T2n + T2q; + ii[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; + } + ri[WS(ios, 8)] = TH - T1s; + ii[WS(ios, 8)] = T2W - T2P; + ri[0] = TH + T1s; + ii[0] = T2P + T2W; + ri[WS(ios, 12)] = T2L - T2O; + ii[WS(ios, 12)] = T2Y - T2X; + ri[WS(ios, 4)] = T2L + T2O; + ii[WS(ios, 4)] = T2X + T2Y; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 16}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 16, "t1_16", twinstr, {136, 46, 38, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_16) (planner *p) { + X(kdft_dit_register) (p, t1_16, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_2.c b/src/fftw3/dft/codelets/standard/t1_2.c new file mode 100644 index 0000000..9213d04 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:29:51 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 2 -name t1_2 -include t.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: t1_2.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_2.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_2.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_2(R *ri, R *ii, const R *W, stride ios, int m, int dist) +{ + int i; + for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 2) { + E T1, T8, T6, T7; + T1 = ri[0]; + T8 = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 1)]; + T5 = ii[WS(ios, 1)]; + T2 = W[0]; + T4 = W[1]; + T6 = FMA(T2, T3, T4 * T5); + T7 = FNMS(T4, T3, T2 * T5); + } + ri[WS(ios, 1)] = T1 - T6; + ii[WS(ios, 1)] = T8 - T7; + ri[0] = T1 + T6; + ii[0] = T7 + T8; + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 2}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 2, "t1_2", twinstr, {4, 2, 2, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_2) (planner *p) { + X(kdft_dit_register) (p, t1_2, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_3.c b/src/fftw3/dft/codelets/standard/t1_3.c new file mode 100644 index 0000000..e8cfbc6 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:29:51 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 3 -name t1_3 -include t.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: t1_3.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_3.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_3.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_3(R *ri, R *ii, const R *W, stride ios, int m, int dist) +{ + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + int i; + for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 4) { + E T1, Ti, T6, Te, Tb, Tf, Tc, Th; + T1 = ri[0]; + Ti = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 1)]; + T5 = ii[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 = ri[WS(ios, 2)]; + Ta = ii[WS(ios, 2)]; + T7 = W[2]; + T9 = W[3]; + Tb = FMA(T7, T8, T9 * Ta); + Tf = FNMS(T9, T8, T7 * Ta); + } + Tc = T6 + Tb; + Th = Te + Tf; + ri[0] = T1 + Tc; + ii[0] = Th + Ti; + { + E Td, Tg, Tj, Tk; + Td = FNMS(KP500000000, Tc, T1); + Tg = KP866025403 * (Te - Tf); + ri[WS(ios, 2)] = Td - Tg; + ri[WS(ios, 1)] = Td + Tg; + Tj = KP866025403 * (Tb - T6); + Tk = FNMS(KP500000000, Th, Ti); + ii[WS(ios, 1)] = Tj + Tk; + ii[WS(ios, 2)] = Tk - Tj; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 3}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 3, "t1_3", twinstr, {10, 6, 6, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_3) (planner *p) { + X(kdft_dit_register) (p, t1_3, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_32.c b/src/fftw3/dft/codelets/standard/t1_32.c new file mode 100644 index 0000000..387b955 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:30:07 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 32 -name t1_32 -include t.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: t1_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_32(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 62) { + E Tj, T5F, T7C, T7Q, T35, T4T, T78, T7m, T1Q, T61, T5Y, T6J, T3K, T59, T41; + E T56, T2B, T67, T6e, T6O, T4b, T5d, T4s, T5g, TG, T7l, T5I, T73, T3a, T4U; + E T3f, T4V, T14, T5N, T5M, T6E, T3m, T4Y, T3r, T4Z, T1r, T5P, T5S, T6F, T3x; + E T51, T3C, T52, 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 = ri[0]; + T76 = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 16)]; + T5 = ii[WS(ios, 16)]; + T2 = W[30]; + T4 = W[31]; + T6 = FMA(T2, T3, T4 * T5); + T75 = FNMS(T4, T3, T2 * T5); + } + { + E T9, Tb, T8, Ta; + T9 = ri[WS(ios, 8)]; + Tb = ii[WS(ios, 8)]; + T8 = W[14]; + Ta = W[15]; + Tc = FMA(T8, T9, Ta * Tb); + T32 = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 24)]; + Tg = ii[WS(ios, 24)]; + 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 T1y, T3G, T1O, T3Z, T1D, T3H, T1J, T3Y; + { + E T1v, T1x, T1u, T1w; + T1v = ri[WS(ios, 1)]; + T1x = ii[WS(ios, 1)]; + T1u = W[0]; + T1w = W[1]; + T1y = FMA(T1u, T1v, T1w * T1x); + T3G = FNMS(T1w, T1v, T1u * T1x); + } + { + E T1L, T1N, T1K, T1M; + T1L = ri[WS(ios, 25)]; + T1N = ii[WS(ios, 25)]; + T1K = W[48]; + T1M = W[49]; + T1O = FMA(T1K, T1L, T1M * T1N); + T3Z = FNMS(T1M, T1L, T1K * T1N); + } + { + E T1A, T1C, T1z, T1B; + T1A = ri[WS(ios, 17)]; + T1C = ii[WS(ios, 17)]; + T1z = W[32]; + T1B = W[33]; + T1D = FMA(T1z, T1A, T1B * T1C); + T3H = FNMS(T1B, T1A, T1z * T1C); + } + { + E T1G, T1I, T1F, T1H; + T1G = ri[WS(ios, 9)]; + T1I = ii[WS(ios, 9)]; + 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 T2j, T4o, T2z, T49, T2o, T4p, T2u, T48; + { + E T2g, T2i, T2f, T2h; + T2g = ri[WS(ios, 31)]; + T2i = ii[WS(ios, 31)]; + T2f = W[60]; + T2h = W[61]; + T2j = FMA(T2f, T2g, T2h * T2i); + T4o = FNMS(T2h, T2g, T2f * T2i); + } + { + E T2w, T2y, T2v, T2x; + T2w = ri[WS(ios, 23)]; + T2y = ii[WS(ios, 23)]; + T2v = W[44]; + T2x = W[45]; + T2z = FMA(T2v, T2w, T2x * T2y); + T49 = FNMS(T2x, T2w, T2v * T2y); + } + { + E T2l, T2n, T2k, T2m; + T2l = ri[WS(ios, 15)]; + T2n = ii[WS(ios, 15)]; + T2k = W[28]; + T2m = W[29]; + T2o = FMA(T2k, T2l, T2m * T2n); + T4p = FNMS(T2m, T2l, T2k * T2n); + } + { + E T2r, T2t, T2q, T2s; + T2r = ri[WS(ios, 7)]; + T2t = ii[WS(ios, 7)]; + 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 = ri[WS(ios, 4)]; + Tn = ii[WS(ios, 4)]; + Tk = W[6]; + Tm = W[7]; + To = FMA(Tk, Tl, Tm * Tn); + T36 = FNMS(Tm, Tl, Tk * Tn); + } + { + E TB, TD, TA, TC; + TB = ri[WS(ios, 12)]; + TD = ii[WS(ios, 12)]; + TA = W[22]; + TC = W[23]; + TE = FMA(TA, TB, TC * TD); + T3d = FNMS(TC, TB, TA * TD); + } + { + E Tq, Ts, Tp, Tr; + Tq = ri[WS(ios, 20)]; + Ts = ii[WS(ios, 20)]; + Tp = W[38]; + Tr = W[39]; + Tt = FMA(Tp, Tq, Tr * Ts); + T37 = FNMS(Tr, Tq, Tp * Ts); + } + { + E Tw, Ty, Tv, Tx; + Tw = ri[WS(ios, 28)]; + Ty = ii[WS(ios, 28)]; + 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 TM, T3i, T12, T3p, TR, T3j, TX, T3o; + { + E TJ, TL, TI, TK; + TJ = ri[WS(ios, 2)]; + TL = ii[WS(ios, 2)]; + TI = W[2]; + TK = W[3]; + TM = FMA(TI, TJ, TK * TL); + T3i = FNMS(TK, TJ, TI * TL); + } + { + E TZ, T11, TY, T10; + TZ = ri[WS(ios, 26)]; + T11 = ii[WS(ios, 26)]; + TY = W[50]; + T10 = W[51]; + T12 = FMA(TY, TZ, T10 * T11); + T3p = FNMS(T10, TZ, TY * T11); + } + { + E TO, TQ, TN, TP; + TO = ri[WS(ios, 18)]; + TQ = ii[WS(ios, 18)]; + TN = W[34]; + TP = W[35]; + TR = FMA(TN, TO, TP * TQ); + T3j = FNMS(TP, TO, TN * TQ); + } + { + E TU, TW, TT, TV; + TU = ri[WS(ios, 10)]; + TW = ii[WS(ios, 10)]; + 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 T19, T3t, T1p, T3A, T1e, T3u, T1k, T3z; + { + E T16, T18, T15, T17; + T16 = ri[WS(ios, 30)]; + T18 = ii[WS(ios, 30)]; + T15 = W[58]; + T17 = W[59]; + T19 = FMA(T15, T16, T17 * T18); + T3t = FNMS(T17, T16, T15 * T18); + } + { + E T1m, T1o, T1l, T1n; + T1m = ri[WS(ios, 22)]; + T1o = ii[WS(ios, 22)]; + T1l = W[42]; + T1n = W[43]; + T1p = FMA(T1l, T1m, T1n * T1o); + T3A = FNMS(T1n, T1m, T1l * T1o); + } + { + E T1b, T1d, T1a, T1c; + T1b = ri[WS(ios, 14)]; + T1d = ii[WS(ios, 14)]; + T1a = W[26]; + T1c = W[27]; + T1e = FMA(T1a, T1b, T1c * T1d); + T3u = FNMS(T1c, T1b, T1a * T1d); + } + { + E T1h, T1j, T1g, T1i; + T1h = ri[WS(ios, 6)]; + T1j = ii[WS(ios, 6)]; + 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 T1V, T3R, T20, T3S, T3Q, T3T, T26, T3M, T2b, T3N, T3L, T3O; + { + E T1S, T1U, T1R, T1T; + T1S = ri[WS(ios, 5)]; + T1U = ii[WS(ios, 5)]; + T1R = W[8]; + T1T = W[9]; + T1V = FMA(T1R, T1S, T1T * T1U); + T3R = FNMS(T1T, T1S, T1R * T1U); + } + { + E T1X, T1Z, T1W, T1Y; + T1X = ri[WS(ios, 21)]; + T1Z = ii[WS(ios, 21)]; + 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 = ri[WS(ios, 29)]; + T25 = ii[WS(ios, 29)]; + T22 = W[56]; + T24 = W[57]; + T26 = FMA(T22, T23, T24 * T25); + T3M = FNMS(T24, T23, T22 * T25); + } + { + E T28, T2a, T27, T29; + T28 = ri[WS(ios, 13)]; + T2a = ii[WS(ios, 13)]; + 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 = ri[WS(ios, 3)]; + T2F = ii[WS(ios, 3)]; + T2C = W[4]; + T2E = W[5]; + T2G = FMA(T2C, T2D, T2E * T2F); + T4c = FNMS(T2E, T2D, T2C * T2F); + } + { + E T2I, T2K, T2H, T2J; + T2I = ri[WS(ios, 19)]; + T2K = ii[WS(ios, 19)]; + 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 = ri[WS(ios, 27)]; + T2Q = ii[WS(ios, 27)]; + T2N = W[52]; + T2P = W[53]; + T2R = FMA(T2N, T2O, T2P * T2Q); + T4i = FNMS(T2P, T2O, T2N * T2Q); + } + { + E T2T, T2V, T2S, T2U; + T2T = ri[WS(ios, 11)]; + T2V = ii[WS(ios, 11)]; + 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; + } + ri[WS(ios, 16)] = T1t - T30; + ii[WS(ios, 16)] = T7a - T71; + ri[0] = T1t + T30; + ii[0] = T71 + T7a; + ri[WS(ios, 24)] = T6X - T70; + ii[WS(ios, 24)] = T7c - T7b; + ri[WS(ios, 8)] = T6X + T70; + ii[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); + ri[WS(ios, 20)] = T6H - T6S; + ri[WS(ios, 4)] = T6H + T6S; + T7d = KP707106781 * (T6U + T6V); + ii[WS(ios, 4)] = T7d + T7g; + ii[WS(ios, 20)] = T7g - T7d; + T6W = KP707106781 * (T6U - T6V); + ri[WS(ios, 28)] = T6T - T6W; + ri[WS(ios, 12)] = T6T + T6W; + T7h = KP707106781 * (T6R - T6M); + ii[WS(ios, 12)] = T7h + T7i; + ii[WS(ios, 28)] = T7i - T7h; + } + } + { + 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; + ri[WS(ios, 22)] = T5V - T6i; + ri[WS(ios, 6)] = T5V + T6i; + T7r = T6k + T6l; + T7u = T7s + T7t; + ii[WS(ios, 6)] = T7r + T7u; + ii[WS(ios, 22)] = T7u - T7r; + } + { + E T6j, T6m, T7v, T7w; + T6j = T5J - T5U; + T6m = T6k - T6l; + ri[WS(ios, 30)] = T6j - T6m; + ri[WS(ios, 14)] = T6j + T6m; + T7v = T6h - T66; + T7w = T7t - T7s; + ii[WS(ios, 14)] = T7v + T7w; + ii[WS(ios, 30)] = T7w - T7v; + } + { + E T6r, T6y, T7j, T7o; + T6r = T6n + T6q; + T6y = T6u + T6x; + ri[WS(ios, 18)] = T6r - T6y; + ri[WS(ios, 2)] = T6r + T6y; + T7j = T6A + T6B; + T7o = T7k + T7n; + ii[WS(ios, 2)] = T7j + T7o; + ii[WS(ios, 18)] = T7o - T7j; + } + { + E T6z, T6C, T7p, T7q; + T6z = T6n - T6q; + T6C = T6A - T6B; + ri[WS(ios, 26)] = T6z - T6C; + ri[WS(ios, 10)] = T6z + T6C; + T7p = T6x - T6u; + T7q = T7n - T7k; + ii[WS(ios, 10)] = T7p + T7q; + ii[WS(ios, 26)] = T7q - T7p; + } + } + { + 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; + ri[WS(ios, 23)] = T3F - T4y; + ri[WS(ios, 7)] = T3F + T4y; + T7V = T4A + T4B; + T7Y = T7W + T7X; + ii[WS(ios, 7)] = T7V + T7Y; + ii[WS(ios, 23)] = T7Y - T7V; + } + { + E T4z, T4C, T7Z, T80; + T4z = T3h - T3E; + T4C = T4A - T4B; + ri[WS(ios, 31)] = T4z - T4C; + ri[WS(ios, 15)] = T4z + T4C; + T7Z = T4x - T46; + T80 = T7X - T7W; + ii[WS(ios, 15)] = T7Z + T80; + ii[WS(ios, 31)] = T80 - T7Z; + } + { + E T4H, T4O, T7N, T7S; + T4H = T4D + T4G; + T4O = T4K + T4N; + ri[WS(ios, 19)] = T4H - T4O; + ri[WS(ios, 3)] = T4H + T4O; + T7N = T4Q + T4R; + T7S = T7O + T7R; + ii[WS(ios, 3)] = T7N + T7S; + ii[WS(ios, 19)] = T7S - T7N; + } + { + E T4P, T4S, T7T, T7U; + T4P = T4D - T4G; + T4S = T4Q - T4R; + ri[WS(ios, 27)] = T4P - T4S; + ri[WS(ios, 11)] = T4P + T4S; + T7T = T4N - T4K; + T7U = T7R - T7O; + ii[WS(ios, 11)] = T7T + T7U; + ii[WS(ios, 27)] = T7U - T7T; + } + } + { + 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; + ri[WS(ios, 21)] = T55 - T5k; + ri[WS(ios, 5)] = T55 + T5k; + T7H = T5m + T5n; + T7K = T7I + T7J; + ii[WS(ios, 5)] = T7H + T7K; + ii[WS(ios, 21)] = T7K - T7H; + } + { + E T5l, T5o, T7L, T7M; + T5l = T4X - T54; + T5o = T5m - T5n; + ri[WS(ios, 29)] = T5l - T5o; + ri[WS(ios, 13)] = T5l + T5o; + T7L = T5j - T5c; + T7M = T7J - T7I; + ii[WS(ios, 13)] = T7L + T7M; + ii[WS(ios, 29)] = T7M - T7L; + } + { + E T5t, T5A, T7x, T7E; + T5t = T5p + T5s; + T5A = T5w + T5z; + ri[WS(ios, 17)] = T5t - T5A; + ri[WS(ios, 1)] = T5t + T5A; + T7x = T5C + T5D; + T7E = T7y + T7D; + ii[WS(ios, 1)] = T7x + T7E; + ii[WS(ios, 17)] = T7E - T7x; + } + { + E T5B, T5E, T7F, T7G; + T5B = T5p - T5s; + T5E = T5C - T5D; + ri[WS(ios, 25)] = T5B - T5E; + ri[WS(ios, 9)] = T5B + T5E; + T7F = T5z - T5w; + T7G = T7D - T7y; + ii[WS(ios, 9)] = T7F + T7G; + ii[WS(ios, 25)] = T7G - T7F; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 32}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 32, "t1_32", twinstr, {340, 114, 94, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_32) (planner *p) { + X(kdft_dit_register) (p, t1_32, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_4.c b/src/fftw3/dft/codelets/standard/t1_4.c new file mode 100644 index 0000000..cc869e4 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:29:52 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 4 -name t1_4 -include t.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: t1_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_4(R *ri, R *ii, const R *W, stride ios, int m, int dist) +{ + int i; + for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 6) { + E T1, Tp, T6, To, Tc, Tk, Th, Tl; + T1 = ri[0]; + Tp = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 2)]; + T5 = ii[WS(ios, 2)]; + T2 = W[2]; + T4 = W[3]; + T6 = FMA(T2, T3, T4 * T5); + To = FNMS(T4, T3, T2 * T5); + } + { + E T9, Tb, T8, Ta; + T9 = ri[WS(ios, 1)]; + Tb = ii[WS(ios, 1)]; + T8 = W[0]; + Ta = W[1]; + Tc = FMA(T8, T9, Ta * Tb); + Tk = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 3)]; + Tg = ii[WS(ios, 3)]; + Td = W[4]; + Tf = W[5]; + Th = FMA(Td, Te, Tf * Tg); + Tl = FNMS(Tf, Te, Td * Tg); + } + { + E T7, Ti, Tn, Tq; + T7 = T1 + T6; + Ti = Tc + Th; + ri[WS(ios, 2)] = T7 - Ti; + ri[0] = T7 + Ti; + Tn = Tk + Tl; + Tq = To + Tp; + ii[0] = Tn + Tq; + ii[WS(ios, 2)] = Tq - Tn; + } + { + E Tj, Tm, Tr, Ts; + Tj = T1 - T6; + Tm = Tk - Tl; + ri[WS(ios, 3)] = Tj - Tm; + ri[WS(ios, 1)] = Tj + Tm; + Tr = Tp - To; + Ts = Tc - Th; + ii[WS(ios, 1)] = Tr - Ts; + ii[WS(ios, 3)] = Ts + Tr; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 4}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 4, "t1_4", twinstr, {16, 6, 6, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_4) (planner *p) { + X(kdft_dit_register) (p, t1_4, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_5.c b/src/fftw3/dft/codelets/standard/t1_5.c new file mode 100644 index 0000000..87feed7 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:29:52 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 5 -name t1_5 -include t.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: t1_5.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_5.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_5.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_5(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 8) { + E T1, TE, Tu, Tx, TJ, TI, TB, TC, TD, Tc, Tn, To; + T1 = ri[0]; + TE = ii[0]; + { + E T6, Ts, Tm, Tw, Tb, Tt, Th, Tv; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 1)]; + T5 = ii[WS(ios, 1)]; + T2 = W[0]; + T4 = W[1]; + T6 = FMA(T2, T3, T4 * T5); + Ts = FNMS(T4, T3, T2 * T5); + } + { + E Tj, Tl, Ti, Tk; + Tj = ri[WS(ios, 3)]; + Tl = ii[WS(ios, 3)]; + Ti = W[4]; + Tk = W[5]; + Tm = FMA(Ti, Tj, Tk * Tl); + Tw = FNMS(Tk, Tj, Ti * Tl); + } + { + E T8, Ta, T7, T9; + T8 = ri[WS(ios, 4)]; + Ta = ii[WS(ios, 4)]; + T7 = W[6]; + T9 = W[7]; + Tb = FMA(T7, T8, T9 * Ta); + Tt = FNMS(T9, T8, T7 * Ta); + } + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 2)]; + Tg = ii[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; + TJ = Th - Tm; + TI = T6 - Tb; + TB = Ts + Tt; + TC = Tv + Tw; + TD = TB + TC; + Tc = T6 + Tb; + Tn = Th + Tm; + To = Tc + Tn; + } + ri[0] = T1 + To; + ii[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; + ri[WS(ios, 4)] = Tr - Ty; + ri[WS(ios, 3)] = Tz + TA; + ri[WS(ios, 1)] = Tr + Ty; + ri[WS(ios, 2)] = Tz - TA; + } + { + E TK, TL, TH, TM, TF, TG; + TK = FMA(KP951056516, TI, KP587785252 * TJ); + TL = FNMS(KP587785252, TI, KP951056516 * TJ); + TF = KP559016994 * (TB - TC); + TG = FNMS(KP250000000, TD, TE); + TH = TF + TG; + TM = TG - TF; + ii[WS(ios, 1)] = TH - TK; + ii[WS(ios, 3)] = TM - TL; + ii[WS(ios, 4)] = TK + TH; + ii[WS(ios, 2)] = TL + TM; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 5}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 5, "t1_5", twinstr, {26, 14, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_5) (planner *p) { + X(kdft_dit_register) (p, t1_5, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_6.c b/src/fftw3/dft/codelets/standard/t1_6.c new file mode 100644 index 0000000..d474acd --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:29:55 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 6 -name t1_6 -include t.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: t1_6.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_6.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_6.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_6(R *ri, R *ii, const R *W, stride ios, int m, int dist) +{ + DK(KP500000000, +0.500000000000000000000000000000000000000000000); + DK(KP866025403, +0.866025403784438646763723170752936183471402627); + int i; + for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 10) { + E T7, TS, Tv, TO, Tt, TJ, Tx, TF, Ti, TI, Tw, TC; + { + E T1, TN, T6, TM; + T1 = ri[0]; + TN = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 3)]; + T5 = ii[WS(ios, 3)]; + 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 Tn, TD, Ts, TE; + { + E Tk, Tm, Tj, Tl; + Tk = ri[WS(ios, 4)]; + Tm = ii[WS(ios, 4)]; + Tj = W[6]; + Tl = W[7]; + Tn = FMA(Tj, Tk, Tl * Tm); + TD = FNMS(Tl, Tk, Tj * Tm); + } + { + E Tp, Tr, To, Tq; + Tp = ri[WS(ios, 1)]; + Tr = ii[WS(ios, 1)]; + To = W[0]; + Tq = W[1]; + Ts = FMA(To, Tp, Tq * Tr); + TE = FNMS(Tq, Tp, To * Tr); + } + Tt = Tn - Ts; + TJ = TD + TE; + Tx = Tn + Ts; + TF = TD - TE; + } + { + E Tc, TA, Th, TB; + { + E T9, Tb, T8, Ta; + T9 = ri[WS(ios, 2)]; + Tb = ii[WS(ios, 2)]; + T8 = W[2]; + Ta = W[3]; + Tc = FMA(T8, T9, Ta * Tb); + TA = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 5)]; + Tg = ii[WS(ios, 5)]; + 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 TG, Tu, Tz, TR, TT, TU; + TG = KP866025403 * (TC - TF); + Tu = Ti + Tt; + Tz = FNMS(KP500000000, Tu, T7); + ri[WS(ios, 3)] = T7 + Tu; + ri[WS(ios, 1)] = Tz + TG; + ri[WS(ios, 5)] = Tz - TG; + TR = KP866025403 * (Tt - Ti); + TT = TC + TF; + TU = FNMS(KP500000000, TT, TS); + ii[WS(ios, 1)] = TR + TU; + ii[WS(ios, 3)] = TT + TS; + ii[WS(ios, 5)] = TU - TR; + } + { + E TK, Ty, TH, TQ, TL, TP; + TK = KP866025403 * (TI - TJ); + Ty = Tw + Tx; + TH = FNMS(KP500000000, Ty, Tv); + ri[0] = Tv + Ty; + ri[WS(ios, 4)] = TH + TK; + ri[WS(ios, 2)] = TH - TK; + TQ = KP866025403 * (Tx - Tw); + TL = TI + TJ; + TP = FNMS(KP500000000, TL, TO); + ii[0] = TL + TO; + ii[WS(ios, 4)] = TQ + TP; + ii[WS(ios, 2)] = TP - TQ; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 6}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 6, "t1_6", twinstr, {32, 14, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_6) (planner *p) { + X(kdft_dit_register) (p, t1_6, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_64.c b/src/fftw3/dft/codelets/standard/t1_64.c new file mode 100644 index 0000000..a03697b --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:30:08 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 64 -name t1_64 -include t.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: t1_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_64(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + 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, T5j, TfR, Tec, Tf0, TfY, Tgy, T8D; + E Tbl, T8O, Tbx, T9l, Tbm, TdV, TeX, T9i, Tbw, T3M, TfL, TdL, TeQ, TfI, Tgt; + E T7K, Tb2, T7V, Tbe, T8s, Tb3, Tdu, TeT, T8p, Tbd, T4x, TfJ, TdE, TdM, TfO; + E Tgu, T87, T8v, T8i, T8u, Tba, Tbg, Tdz, TdN, Tb7, Tbh, T64, TfZ, Te5, Ted; + E TfU, Tgz, T90, T9o, T9b, T9n, Tbt, Tbz, Te0, Tee, Tbq, TbA; + { + E T1, TgR, T6, TgQ, Tc, T68, Th, T69; + T1 = ri[0]; + TgR = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 32)]; + T5 = ii[WS(ios, 32)]; + T2 = W[62]; + T4 = W[63]; + T6 = FMA(T2, T3, T4 * T5); + TgQ = FNMS(T4, T3, T2 * T5); + } + { + E T9, Tb, T8, Ta; + T9 = ri[WS(ios, 16)]; + Tb = ii[WS(ios, 16)]; + T8 = W[30]; + Ta = W[31]; + Tc = FMA(T8, T9, Ta * Tb); + T68 = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 48)]; + Tg = ii[WS(ios, 48)]; + 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 = ri[WS(ios, 8)]; + Tn = ii[WS(ios, 8)]; + Tk = W[14]; + Tm = W[15]; + To = FMA(Tk, Tl, Tm * Tn); + T6c = FNMS(Tm, Tl, Tk * Tn); + } + { + E Tq, Ts, Tp, Tr; + Tq = ri[WS(ios, 40)]; + Ts = ii[WS(ios, 40)]; + 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 = ri[WS(ios, 56)]; + Ty = ii[WS(ios, 56)]; + Tv = W[110]; + Tx = W[111]; + Tz = FMA(Tv, Tw, Tx * Ty); + T6i = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = ri[WS(ios, 24)]; + TD = ii[WS(ios, 24)]; + 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 = ri[WS(ios, 4)]; + TL = ii[WS(ios, 4)]; + TI = W[6]; + TK = W[7]; + TM = FMA(TI, TJ, TK * TL); + T6o = FNMS(TK, TJ, TI * TL); + } + { + E TO, TQ, TN, TP; + TO = ri[WS(ios, 36)]; + TQ = ii[WS(ios, 36)]; + 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 = ri[WS(ios, 20)]; + TW = ii[WS(ios, 20)]; + TT = W[38]; + TV = W[39]; + TX = FMA(TT, TU, TV * TW); + T6u = FNMS(TV, TU, TT * TW); + } + { + E TZ, T11, TY, T10; + TZ = ri[WS(ios, 52)]; + T11 = ii[WS(ios, 52)]; + 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 = ri[WS(ios, 60)]; + T18 = ii[WS(ios, 60)]; + T15 = W[118]; + T17 = W[119]; + T19 = FMA(T15, T16, T17 * T18); + T6z = FNMS(T17, T16, T15 * T18); + } + { + E T1b, T1d, T1a, T1c; + T1b = ri[WS(ios, 28)]; + T1d = ii[WS(ios, 28)]; + 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 = ri[WS(ios, 12)]; + T1j = ii[WS(ios, 12)]; + T1g = W[22]; + T1i = W[23]; + T1k = FMA(T1g, T1h, T1i * T1j); + T6F = FNMS(T1i, T1h, T1g * T1j); + } + { + E T1m, T1o, T1l, T1n; + T1m = ri[WS(ios, 44)]; + T1o = ii[WS(ios, 44)]; + 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 = ri[WS(ios, 2)]; + T1x = ii[WS(ios, 2)]; + T1u = W[2]; + T1w = W[3]; + T1y = FMA(T1u, T1v, T1w * T1x); + T6M = FNMS(T1w, T1v, T1u * T1x); + } + { + E T1A, T1C, T1z, T1B; + T1A = ri[WS(ios, 34)]; + T1C = ii[WS(ios, 34)]; + 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 = ri[WS(ios, 18)]; + T1I = ii[WS(ios, 18)]; + T1F = W[34]; + T1H = W[35]; + T1J = FMA(T1F, T1G, T1H * T1I); + T74 = FNMS(T1H, T1G, T1F * T1I); + } + { + E T1L, T1N, T1K, T1M; + T1L = ri[WS(ios, 50)]; + T1N = ii[WS(ios, 50)]; + 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 = ri[WS(ios, 10)]; + T1U = ii[WS(ios, 10)]; + T1R = W[18]; + T1T = W[19]; + T1V = FMA(T1R, T1S, T1T * T1U); + T6X = FNMS(T1T, T1S, T1R * T1U); + } + { + E T1X, T1Z, T1W, T1Y; + T1X = ri[WS(ios, 42)]; + T1Z = ii[WS(ios, 42)]; + 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 = ri[WS(ios, 58)]; + T25 = ii[WS(ios, 58)]; + T22 = W[114]; + T24 = W[115]; + T26 = FMA(T22, T23, T24 * T25); + T6S = FNMS(T24, T23, T22 * T25); + } + { + E T28, T2a, T27, T29; + T28 = ri[WS(ios, 26)]; + T2a = ii[WS(ios, 26)]; + 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 = ri[WS(ios, 62)]; + T2i = ii[WS(ios, 62)]; + T2f = W[122]; + T2h = W[123]; + T2j = FMA(T2f, T2g, T2h * T2i); + T7d = FNMS(T2h, T2g, T2f * T2i); + } + { + E T2l, T2n, T2k, T2m; + T2l = ri[WS(ios, 30)]; + T2n = ii[WS(ios, 30)]; + 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 = ri[WS(ios, 14)]; + T2t = ii[WS(ios, 14)]; + T2q = W[26]; + T2s = W[27]; + T2u = FMA(T2q, T2r, T2s * T2t); + T7v = FNMS(T2s, T2r, T2q * T2t); + } + { + E T2w, T2y, T2v, T2x; + T2w = ri[WS(ios, 46)]; + T2y = ii[WS(ios, 46)]; + 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 = ri[WS(ios, 6)]; + T2F = ii[WS(ios, 6)]; + T2C = W[10]; + T2E = W[11]; + T2G = FMA(T2C, T2D, T2E * T2F); + T7o = FNMS(T2E, T2D, T2C * T2F); + } + { + E T2I, T2K, T2H, T2J; + T2I = ri[WS(ios, 38)]; + T2K = ii[WS(ios, 38)]; + 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 = ri[WS(ios, 54)]; + T2Q = ii[WS(ios, 54)]; + T2N = W[106]; + T2P = W[107]; + T2R = FMA(T2N, T2O, T2P * T2Q); + T7j = FNMS(T2P, T2O, T2N * T2Q); + } + { + E T2T, T2V, T2S, T2U; + T2T = ri[WS(ios, 22)]; + T2V = ii[WS(ios, 22)]; + 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 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 = ri[WS(ios, 63)]; + T4C = ii[WS(ios, 63)]; + T4z = W[124]; + T4B = W[125]; + T4D = FMA(T4z, T4A, T4B * T4C); + T9e = FNMS(T4B, T4A, T4z * T4C); + } + { + E T4F, T4H, T4E, T4G; + T4F = ri[WS(ios, 31)]; + T4H = ii[WS(ios, 31)]; + 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 = ri[WS(ios, 15)]; + T4N = ii[WS(ios, 15)]; + T4K = W[28]; + T4M = W[29]; + T4O = FMA(T4K, T4L, T4M * T4N); + T8A = FNMS(T4M, T4L, T4K * T4N); + } + { + E T4Q, T4S, T4P, T4R; + T4Q = ri[WS(ios, 47)]; + T4S = ii[WS(ios, 47)]; + 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 = ri[WS(ios, 7)]; + T4Z = ii[WS(ios, 7)]; + T4W = W[12]; + T4Y = W[13]; + T50 = FMA(T4W, T4X, T4Y * T4Z); + T8E = FNMS(T4Y, T4X, T4W * T4Z); + } + { + E T52, T54, T51, T53; + T52 = ri[WS(ios, 39)]; + T54 = ii[WS(ios, 39)]; + 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 = ri[WS(ios, 55)]; + T5a = ii[WS(ios, 55)]; + T57 = W[108]; + T59 = W[109]; + T5b = FMA(T57, T58, T59 * T5a); + T8K = FNMS(T59, T58, T57 * T5a); + } + { + E T5d, T5f, T5c, T5e; + T5d = ri[WS(ios, 23)]; + T5f = ii[WS(ios, 23)]; + 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 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 = ri[WS(ios, 1)]; + T35 = ii[WS(ios, 1)]; + T32 = W[0]; + T34 = W[1]; + T36 = FMA(T32, T33, T34 * T35); + T7G = FNMS(T34, T33, T32 * T35); + } + { + E T38, T3a, T37, T39; + T38 = ri[WS(ios, 33)]; + T3a = ii[WS(ios, 33)]; + 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 = ri[WS(ios, 17)]; + T3g = ii[WS(ios, 17)]; + T3d = W[32]; + T3f = W[33]; + T3h = FMA(T3d, T3e, T3f * T3g); + T8m = FNMS(T3f, T3e, T3d * T3g); + } + { + E T3j, T3l, T3i, T3k; + T3j = ri[WS(ios, 49)]; + T3l = ii[WS(ios, 49)]; + 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 = ri[WS(ios, 9)]; + T3s = ii[WS(ios, 9)]; + T3p = W[16]; + T3r = W[17]; + T3t = FMA(T3p, T3q, T3r * T3s); + T7R = FNMS(T3r, T3q, T3p * T3s); + } + { + E T3v, T3x, T3u, T3w; + T3v = ri[WS(ios, 41)]; + T3x = ii[WS(ios, 41)]; + 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 = ri[WS(ios, 57)]; + T3D = ii[WS(ios, 57)]; + T3A = W[112]; + T3C = W[113]; + T3E = FMA(T3A, T3B, T3C * T3D); + T7M = FNMS(T3C, T3B, T3A * T3D); + } + { + E T3G, T3I, T3F, T3H; + T3G = ri[WS(ios, 25)]; + T3I = ii[WS(ios, 25)]; + 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 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 = ri[WS(ios, 5)]; + T3Q = ii[WS(ios, 5)]; + T3N = W[8]; + T3P = W[9]; + T3R = FMA(T3N, T3O, T3P * T3Q); + T88 = FNMS(T3P, T3O, T3N * T3Q); + } + { + E T3T, T3V, T3S, T3U; + T3T = ri[WS(ios, 37)]; + T3V = ii[WS(ios, 37)]; + 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 = ri[WS(ios, 13)]; + T4o = ii[WS(ios, 13)]; + T4l = W[24]; + T4n = W[25]; + T4p = FMA(T4l, T4m, T4n * T4o); + T7Y = FNMS(T4n, T4m, T4l * T4o); + } + { + E T4r, T4t, T4q, T4s; + T4r = ri[WS(ios, 45)]; + T4t = ii[WS(ios, 45)]; + 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 = ri[WS(ios, 21)]; + T41 = ii[WS(ios, 21)]; + T3Y = W[40]; + T40 = W[41]; + T42 = FMA(T3Y, T3Z, T40 * T41); + T8e = FNMS(T40, T3Z, T3Y * T41); + } + { + E T44, T46, T43, T45; + T44 = ri[WS(ios, 53)]; + T46 = ii[WS(ios, 53)]; + 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 = ri[WS(ios, 61)]; + T4d = ii[WS(ios, 61)]; + T4a = W[120]; + T4c = W[121]; + T4e = FMA(T4a, T4b, T4c * T4d); + T82 = FNMS(T4c, T4b, T4a * T4d); + } + { + E T4g, T4i, T4f, T4h; + T4g = ri[WS(ios, 29)]; + T4i = ii[WS(ios, 29)]; + 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 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 = ri[WS(ios, 3)]; + T5n = ii[WS(ios, 3)]; + T5k = W[4]; + T5m = W[5]; + T5o = FMA(T5k, T5l, T5m * T5n); + T8Q = FNMS(T5m, T5l, T5k * T5n); + } + { + E T5q, T5s, T5p, T5r; + T5q = ri[WS(ios, 35)]; + T5s = ii[WS(ios, 35)]; + 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 = ri[WS(ios, 11)]; + T5V = ii[WS(ios, 11)]; + T5S = W[20]; + T5U = W[21]; + T5W = FMA(T5S, T5T, T5U * T5V); + T97 = FNMS(T5U, T5T, T5S * T5V); + } + { + E T5Y, T60, T5X, T5Z; + T5Y = ri[WS(ios, 43)]; + T60 = ii[WS(ios, 43)]; + 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 = ri[WS(ios, 19)]; + T5y = ii[WS(ios, 19)]; + T5v = W[36]; + T5x = W[37]; + T5z = FMA(T5v, T5w, T5x * T5y); + T8W = FNMS(T5x, T5w, T5v * T5y); + } + { + E T5B, T5D, T5A, T5C; + T5B = ri[WS(ios, 51)]; + T5D = ii[WS(ios, 51)]; + 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 = ri[WS(ios, 59)]; + T5K = ii[WS(ios, 59)]; + T5H = W[116]; + T5J = W[117]; + T5L = FMA(T5H, T5I, T5J * T5K); + T91 = FNMS(T5J, T5I, T5H * T5K); + } + { + E T5N, T5P, T5M, T5O; + T5N = ri[WS(ios, 27)]; + T5P = ii[WS(ios, 27)]; + 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 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; + ri[WS(ios, 32)] = T31 - T66; + ri[0] = T31 + T66; + TgW = TgM + TgV; + ii[0] = TgL + TgW; + ii[WS(ios, 32)] = TgW - TgL; + TgH = T1t - T30; + ri[WS(ios, 48)] = TgH - TgK; + ri[WS(ios, 16)] = TgH + TgK; + TgY = TgV - TgM; + ii[WS(ios, 16)] = TgX + TgY; + ii[WS(ios, 48)] = TgY - TgX; + } + { + E Tgr, TgC, TgZ, Th2; + Tgr = Tgn + Tgq; + TgC = KP707106781 * (Tgw + TgB); + ri[WS(ios, 40)] = Tgr - TgC; + ri[WS(ios, 8)] = Tgr + TgC; + TgZ = KP707106781 * (TgE + TgF); + Th2 = Th0 + Th1; + ii[WS(ios, 8)] = TgZ + Th2; + ii[WS(ios, 40)] = Th2 - TgZ; + } + { + E TgD, TgG, Th3, Th4; + TgD = Tgn - Tgq; + TgG = KP707106781 * (TgE - TgF); + ri[WS(ios, 56)] = TgD - TgG; + ri[WS(ios, 24)] = TgD + TgG; + Th3 = KP707106781 * (TgB - Tgw); + Th4 = Th1 - Th0; + ii[WS(ios, 24)] = Th3 + Th4; + ii[WS(ios, 56)] = Th4 - Th3; + } + } + { + 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; + ri[WS(ios, 44)] = TfF - Tg2; + ri[WS(ios, 12)] = TfF + Tg2; + Thd = Tg4 + Tg5; + Thg = The + Thf; + ii[WS(ios, 12)] = Thd + Thg; + ii[WS(ios, 44)] = Thg - Thd; + } + { + E Tg3, Tg6, Thh, Thi; + Tg3 = Tft - TfE; + Tg6 = Tg4 - Tg5; + ri[WS(ios, 60)] = Tg3 - Tg6; + ri[WS(ios, 28)] = Tg3 + Tg6; + Thh = Tg1 - TfQ; + Thi = Thf - The; + ii[WS(ios, 28)] = Thh + Thi; + ii[WS(ios, 60)] = Thi - Thh; + } + { + E Tgb, Tgi, Th5, Tha; + Tgb = Tg7 + Tga; + Tgi = Tge + Tgh; + ri[WS(ios, 36)] = Tgb - Tgi; + ri[WS(ios, 4)] = Tgb + Tgi; + Th5 = Tgk + Tgl; + Tha = Th6 + Th9; + ii[WS(ios, 4)] = Th5 + Tha; + ii[WS(ios, 36)] = Tha - Th5; + } + { + E Tgj, Tgm, Thb, Thc; + Tgj = Tg7 - Tga; + Tgm = Tgk - Tgl; + ri[WS(ios, 52)] = Tgj - Tgm; + ri[WS(ios, 20)] = Tgj + Tgm; + Thb = Tgh - Tge; + Thc = Th9 - Th6; + ii[WS(ios, 20)] = Thb + Thc; + ii[WS(ios, 52)] = Thc - Thb; + } + } + { + 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; + ri[WS(ios, 46)] = Tdp - Tei; + ri[WS(ios, 14)] = Tdp + Tei; + ThH = Tek + Tel; + ThK = ThI + ThJ; + ii[WS(ios, 14)] = ThH + ThK; + ii[WS(ios, 46)] = ThK - ThH; + } + { + E Tej, Tem, ThL, ThM; + Tej = Td1 - Tdo; + Tem = Tek - Tel; + ri[WS(ios, 62)] = Tej - Tem; + ri[WS(ios, 30)] = Tej + Tem; + ThL = Teh - TdQ; + ThM = ThJ - ThI; + ii[WS(ios, 30)] = ThL + ThM; + ii[WS(ios, 62)] = ThM - ThL; + } + { + E Ter, Tey, Thz, ThE; + Ter = Ten + Teq; + Tey = Teu + Tex; + ri[WS(ios, 38)] = Ter - Tey; + ri[WS(ios, 6)] = Ter + Tey; + Thz = TeA + TeB; + ThE = ThA + ThD; + ii[WS(ios, 6)] = Thz + ThE; + ii[WS(ios, 38)] = ThE - Thz; + } + { + E Tez, TeC, ThF, ThG; + Tez = Ten - Teq; + TeC = TeA - TeB; + ri[WS(ios, 54)] = Tez - TeC; + ri[WS(ios, 22)] = Tez + TeC; + ThF = Tex - Teu; + ThG = ThD - ThA; + ii[WS(ios, 22)] = ThF + ThG; + ii[WS(ios, 54)] = ThG - ThF; + } + } + { + 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; + ri[WS(ios, 42)] = TeP - Tf4; + ri[WS(ios, 10)] = TeP + Tf4; + Tht = Tf6 + Tf7; + Thw = Thu + Thv; + ii[WS(ios, 10)] = Tht + Thw; + ii[WS(ios, 42)] = Thw - Tht; + } + { + E Tf5, Tf8, Thx, Thy; + Tf5 = TeH - TeO; + Tf8 = Tf6 - Tf7; + ri[WS(ios, 58)] = Tf5 - Tf8; + ri[WS(ios, 26)] = Tf5 + Tf8; + Thx = Tf3 - TeW; + Thy = Thv - Thu; + ii[WS(ios, 26)] = Thx + Thy; + ii[WS(ios, 58)] = Thy - Thx; + } + { + E Tfd, Tfk, Thj, Thq; + Tfd = Tf9 + Tfc; + Tfk = Tfg + Tfj; + ri[WS(ios, 34)] = Tfd - Tfk; + ri[WS(ios, 2)] = Tfd + Tfk; + Thj = Tfm + Tfn; + Thq = Thk + Thp; + ii[WS(ios, 2)] = Thj + Thq; + ii[WS(ios, 34)] = Thq - Thj; + } + { + E Tfl, Tfo, Thr, Ths; + Tfl = Tf9 - Tfc; + Tfo = Tfm - Tfn; + ri[WS(ios, 50)] = Tfl - Tfo; + ri[WS(ios, 18)] = Tfl + Tfo; + Thr = Tfj - Tfg; + Ths = Thp - Thk; + ii[WS(ios, 18)] = Thr + Ths; + ii[WS(ios, 50)] = Ths - Thr; + } + } + { + 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; + ri[WS(ios, 47)] = T7F - T9s; + ri[WS(ios, 15)] = T7F + T9s; + TiH = T9u + T9v; + TiK = TiI + TiJ; + ii[WS(ios, 15)] = TiH + TiK; + ii[WS(ios, 47)] = TiK - TiH; + } + { + E T9t, T9w, TiL, TiM; + T9t = T6L - T7E; + T9w = T9u - T9v; + ri[WS(ios, 63)] = T9t - T9w; + ri[WS(ios, 31)] = T9t + T9w; + TiL = T9r - T8y; + TiM = TiJ - TiI; + ii[WS(ios, 31)] = TiL + TiM; + ii[WS(ios, 63)] = TiM - TiL; + } + { + E T9B, T9I, Tiz, TiE; + T9B = T9x + T9A; + T9I = T9E + T9H; + ri[WS(ios, 39)] = T9B - T9I; + ri[WS(ios, 7)] = T9B + T9I; + Tiz = T9K + T9L; + TiE = TiA + TiD; + ii[WS(ios, 7)] = Tiz + TiE; + ii[WS(ios, 39)] = TiE - Tiz; + } + { + E T9J, T9M, TiF, TiG; + T9J = T9x - T9A; + T9M = T9K - T9L; + ri[WS(ios, 55)] = T9J - T9M; + ri[WS(ios, 23)] = T9J + T9M; + TiF = T9H - T9E; + TiG = TiD - TiA; + ii[WS(ios, 23)] = TiF + TiG; + ii[WS(ios, 55)] = TiG - TiF; + } + } + { + 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; + ri[WS(ios, 45)] = Tb1 - TbE; + ri[WS(ios, 13)] = Tb1 + TbE; + Tid = TbG + TbH; + Tig = Tie + Tif; + ii[WS(ios, 13)] = Tid + Tig; + ii[WS(ios, 45)] = Tig - Tid; + } + { + E TbF, TbI, Tih, Tii; + TbF = TaL - Tb0; + TbI = TbG - TbH; + ri[WS(ios, 61)] = TbF - TbI; + ri[WS(ios, 29)] = TbF + TbI; + Tih = TbD - Tbk; + Tii = Tif - Tie; + ii[WS(ios, 29)] = Tih + Tii; + ii[WS(ios, 61)] = Tii - Tih; + } + { + E TbN, TbU, Ti5, Tia; + TbN = TbJ + TbM; + TbU = TbQ + TbT; + ri[WS(ios, 37)] = TbN - TbU; + ri[WS(ios, 5)] = TbN + TbU; + Ti5 = TbW + TbX; + Tia = Ti6 + Ti9; + ii[WS(ios, 5)] = Ti5 + Tia; + ii[WS(ios, 37)] = Tia - Ti5; + } + { + E TbV, TbY, Tib, Tic; + TbV = TbJ - TbM; + TbY = TbW - TbX; + ri[WS(ios, 53)] = TbV - TbY; + ri[WS(ios, 21)] = TbV + TbY; + Tib = TbT - TbQ; + Tic = Ti9 - Ti6; + ii[WS(ios, 21)] = Tib + Tic; + ii[WS(ios, 53)] = Tic - Tib; + } + } + { + 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; + ri[WS(ios, 41)] = Tcb - Tcq; + ri[WS(ios, 9)] = Tcb + Tcq; + ThZ = Tcs + Tct; + Ti2 = Ti0 + Ti1; + ii[WS(ios, 9)] = ThZ + Ti2; + ii[WS(ios, 41)] = Ti2 - ThZ; + } + { + E Tcr, Tcu, Ti3, Ti4; + Tcr = Tc3 - Tca; + Tcu = Tcs - Tct; + ri[WS(ios, 57)] = Tcr - Tcu; + ri[WS(ios, 25)] = Tcr + Tcu; + Ti3 = Tcp - Tci; + Ti4 = Ti1 - Ti0; + ii[WS(ios, 25)] = Ti3 + Ti4; + ii[WS(ios, 57)] = Ti4 - Ti3; + } + { + E Tcz, TcG, ThN, ThW; + Tcz = Tcv + Tcy; + TcG = TcC + TcF; + ri[WS(ios, 33)] = Tcz - TcG; + ri[WS(ios, 1)] = Tcz + TcG; + ThN = TcI + TcJ; + ThW = ThO + ThV; + ii[WS(ios, 1)] = ThN + ThW; + ii[WS(ios, 33)] = ThW - ThN; + } + { + E TcH, TcK, ThX, ThY; + TcH = Tcv - Tcy; + TcK = TcI - TcJ; + ri[WS(ios, 49)] = TcH - TcK; + ri[WS(ios, 17)] = TcH + TcK; + ThX = TcF - TcC; + ThY = ThV - ThO; + ii[WS(ios, 17)] = ThX + ThY; + ii[WS(ios, 49)] = ThY - ThX; + } + } + { + 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; + ri[WS(ios, 43)] = T9Z - Tae; + ri[WS(ios, 11)] = T9Z + Tae; + Tit = Tag + Tah; + Tiw = Tiu + Tiv; + ii[WS(ios, 11)] = Tit + Tiw; + ii[WS(ios, 43)] = Tiw - Tit; + } + { + E Taf, Tai, Tix, Tiy; + Taf = T9R - T9Y; + Tai = Tag - Tah; + ri[WS(ios, 59)] = Taf - Tai; + ri[WS(ios, 27)] = Taf + Tai; + Tix = Tad - Ta6; + Tiy = Tiv - Tiu; + ii[WS(ios, 27)] = Tix + Tiy; + ii[WS(ios, 59)] = Tiy - Tix; + } + { + E Tan, Tau, Tij, Tiq; + Tan = Taj + Tam; + Tau = Taq + Tat; + ri[WS(ios, 35)] = Tan - Tau; + ri[WS(ios, 3)] = Tan + Tau; + Tij = Taw + Tax; + Tiq = Tik + Tip; + ii[WS(ios, 3)] = Tij + Tiq; + ii[WS(ios, 35)] = Tiq - Tij; + } + { + E Tav, Tay, Tir, Tis; + Tav = Taj - Tam; + Tay = Taw - Tax; + ri[WS(ios, 51)] = Tav - Tay; + ri[WS(ios, 19)] = Tav + Tay; + Tir = Tat - Taq; + Tis = Tip - Tik; + ii[WS(ios, 19)] = Tir + Tis; + ii[WS(ios, 51)] = Tis - Tir; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 64}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 64, "t1_64", twinstr, {808, 270, 230, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_64) (planner *p) { + X(kdft_dit_register) (p, t1_64, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_7.c b/src/fftw3/dft/codelets/standard/t1_7.c new file mode 100644 index 0000000..d52c5eb --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:29:56 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 7 -name t1_7 -include t.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: t1_7.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_7.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_7.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_7(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 12) { + E T1, TR, Tc, TS, TC, TO, Tn, TT, TI, TP, Ty, TU, TF, TQ; + T1 = ri[0]; + TR = ii[0]; + { + E T6, TA, Tb, TB; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 1)]; + T5 = ii[WS(ios, 1)]; + T2 = W[0]; + T4 = W[1]; + T6 = FMA(T2, T3, T4 * T5); + TA = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = ri[WS(ios, 6)]; + Ta = ii[WS(ios, 6)]; + 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; + } + { + E Th, TG, Tm, TH; + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 2)]; + Tg = ii[WS(ios, 2)]; + Td = W[2]; + Tf = W[3]; + Th = FMA(Td, Te, Tf * Tg); + TG = FNMS(Tf, Te, Td * Tg); + } + { + E Tj, Tl, Ti, Tk; + Tj = ri[WS(ios, 5)]; + Tl = ii[WS(ios, 5)]; + 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 = ri[WS(ios, 3)]; + Tr = ii[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 = ri[WS(ios, 4)]; + Tw = ii[WS(ios, 4)]; + 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; + } + ri[0] = T1 + Tc + Tn + Ty; + ii[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); + ri[WS(ios, 5)] = Tz - TJ; + ri[WS(ios, 2)] = Tz + TJ; + TX = FNMS(KP781831482, TU, KP974927912 * TS) - (KP433883739 * TT); + TY = FMA(KP623489801, TQ, TR) + FNMA(KP900968867, TP, KP222520933 * TO); + ii[WS(ios, 2)] = TX + TY; + ii[WS(ios, 5)] = TY - TX; + } + { + E TL, TK, TV, TW; + TL = FMA(KP781831482, TC, KP974927912 * TI) + (KP433883739 * TF); + TK = FMA(KP623489801, Tc, T1) + FNMA(KP900968867, Ty, KP222520933 * Tn); + ri[WS(ios, 6)] = TK - TL; + ri[WS(ios, 1)] = TK + TL; + TV = FMA(KP781831482, TS, KP974927912 * TT) + (KP433883739 * TU); + TW = FMA(KP623489801, TO, TR) + FNMA(KP900968867, TQ, KP222520933 * TP); + ii[WS(ios, 1)] = TV + TW; + ii[WS(ios, 6)] = TW - TV; + } + { + E TN, TM, TZ, T10; + TN = FMA(KP433883739, TC, KP974927912 * TF) - (KP781831482 * TI); + TM = FMA(KP623489801, Tn, T1) + FNMA(KP222520933, Ty, KP900968867 * Tc); + ri[WS(ios, 4)] = TM - TN; + ri[WS(ios, 3)] = TM + TN; + TZ = FMA(KP433883739, TS, KP974927912 * TU) - (KP781831482 * TT); + T10 = FMA(KP623489801, TP, TR) + FNMA(KP222520933, TQ, KP900968867 * TO); + ii[WS(ios, 3)] = TZ + T10; + ii[WS(ios, 4)] = T10 - TZ; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 7}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 7, "t1_7", twinstr, {36, 24, 36, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_7) (planner *p) { + X(kdft_dit_register) (p, t1_7, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_8.c b/src/fftw3/dft/codelets/standard/t1_8.c new file mode 100644 index 0000000..b9cb995 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:29:59 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 8 -name t1_8 -include t.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: t1_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_8(R *ri, R *ii, const R *W, stride ios, int m, int dist) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + 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 = ri[0]; + T18 = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 4)]; + T5 = ii[WS(ios, 4)]; + 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 = ri[WS(ios, 7)]; + Ty = ii[WS(ios, 7)]; + Tv = W[12]; + Tx = W[13]; + Tz = FMA(Tv, Tw, Tx * Ty); + TS = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = ri[WS(ios, 3)]; + TD = ii[WS(ios, 3)]; + 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 = ri[WS(ios, 2)]; + Tb = ii[WS(ios, 2)]; + T8 = W[2]; + Ta = W[3]; + Tc = FMA(T8, T9, Ta * Tb); + TI = FNMS(Ta, T9, T8 * Tb); + } + { + E Te, Tg, Td, Tf; + Te = ri[WS(ios, 6)]; + Tg = ii[WS(ios, 6)]; + 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 = ri[WS(ios, 1)]; + Tn = ii[WS(ios, 1)]; + Tk = W[0]; + Tm = W[1]; + To = FMA(Tk, Tl, Tm * Tn); + TN = FNMS(Tm, Tl, Tk * Tn); + } + { + E Tq, Ts, Tp, Tr; + Tq = ri[WS(ios, 5)]; + Ts = ii[WS(ios, 5)]; + 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; + ri[WS(ios, 4)] = Tj - TG; + ri[0] = Tj + TG; + { + E T15, T1a, T11, T14; + T15 = T12 + T13; + T1a = T16 + T19; + ii[0] = T15 + T1a; + ii[WS(ios, 4)] = T1a - T15; + T11 = T7 - Ti; + T14 = T12 - T13; + ri[WS(ios, 6)] = T11 - T14; + ri[WS(ios, 2)] = T11 + T14; + } + T1b = TF - Tu; + T1c = T19 - T16; + ii[WS(ios, 2)] = T1b + T1c; + ii[WS(ios, 6)] = T1c - T1b; + { + 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); + ri[WS(ios, 7)] = TX - T10; + ii[WS(ios, 5)] = T1g - T1d; + ri[WS(ios, 3)] = TX + T10; + ii[WS(ios, 1)] = 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); + ri[WS(ios, 5)] = TL - TW; + ii[WS(ios, 7)] = T1i - T1h; + ri[WS(ios, 1)] = TL + TW; + ii[WS(ios, 3)] = T1h + T1i; + } + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 8}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 8, "t1_8", twinstr, {52, 18, 14, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_8) (planner *p) { + X(kdft_dit_register) (p, t1_8, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t1_9.c b/src/fftw3/dft/codelets/standard/t1_9.c new file mode 100644 index 0000000..924e456 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t1_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 21:30:00 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -n 9 -name t1_9 -include t.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: t1_9.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_9.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t1_9.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t1_9(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + 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 = ri[0]; + T1B = ii[0]; + { + E T3, T5, T2, T4; + T3 = ri[WS(ios, 3)]; + T5 = ii[WS(ios, 3)]; + T2 = W[4]; + T4 = W[5]; + T6 = FMA(T2, T3, T4 * T5); + TO = FNMS(T4, T3, T2 * T5); + } + { + E T8, Ta, T7, T9; + T8 = ri[WS(ios, 6)]; + Ta = ii[WS(ios, 6)]; + 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 = ri[WS(ios, 2)]; + Ty = ii[WS(ios, 2)]; + Tv = W[2]; + Tx = W[3]; + Tz = FMA(Tv, Tw, Tx * Ty); + T19 = FNMS(Tx, Tw, Tv * Ty); + } + { + E TB, TD, TA, TC; + TB = ri[WS(ios, 5)]; + TD = ii[WS(ios, 5)]; + TA = W[8]; + TC = W[9]; + TE = FMA(TA, TB, TC * TD); + T14 = FNMS(TC, TB, TA * TD); + } + { + E TG, TI, TF, TH; + TG = ri[WS(ios, 8)]; + TI = ii[WS(ios, 8)]; + 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 = ri[WS(ios, 1)]; + Th = ii[WS(ios, 1)]; + Te = W[0]; + Tg = W[1]; + Ti = FMA(Te, Tf, Tg * Th); + TY = FNMS(Tg, Tf, Te * Th); + } + { + E Tk, Tm, Tj, Tl; + Tk = ri[WS(ios, 4)]; + Tm = ii[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 = ri[WS(ios, 7)]; + Tr = ii[WS(ios, 7)]; + 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); + ri[0] = Td + TM; + ri[WS(ios, 3)] = T1v + T1y; + ri[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); + ii[0] = T1z + T1C; + ii[WS(ios, 6)] = T1E - T1D; + ii[WS(ios, 3)] = 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; + } + ri[WS(ios, 1)] = TR + T1e; + ii[WS(ios, 1)] = T1F + T1I; + T1f = FNMS(KP500000000, T1e, TR); + ri[WS(ios, 7)] = T1f - T1i; + ri[WS(ios, 4)] = T1f + T1i; + T1K = FNMS(KP500000000, T1F, T1I); + ii[WS(ios, 4)] = T1J + T1K; + ii[WS(ios, 7)] = T1K - T1J; + } + { + E T1j, T1M, T1q, T1N, T1u, T1L, T1r, T1O; + 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; + T1N = KP866025403 * (T1p - T1m); + T1s = FNMS(KP984807753, T1k, KP173648177 * T1l); + T1t = FMA(KP342020143, T1o, KP939692620 * T1n); + T1u = KP866025403 * (T1s + T1t); + T1L = T1s - T1t; + } + ri[WS(ios, 2)] = T1j + T1q; + ii[WS(ios, 2)] = T1L + T1M; + T1r = FNMS(KP500000000, T1q, T1j); + ri[WS(ios, 8)] = T1r - T1u; + ri[WS(ios, 5)] = T1r + T1u; + T1O = FNMS(KP500000000, T1L, T1M); + ii[WS(ios, 5)] = T1N + T1O; + ii[WS(ios, 8)] = T1O - T1N; + } + } + return W; +} + +static const tw_instr twinstr[] = { + {TW_FULL, 0, 9}, + {TW_NEXT, 1, 0} +}; + +static const ct_desc desc = { 9, "t1_9", twinstr, {60, 36, 36, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t1_9) (planner *p) { + X(kdft_dit_register) (p, t1_9, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t2_16.c b/src/fftw3/dft/codelets/standard/t2_16.c new file mode 100644 index 0000000..46d4bdb --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t2_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 21:30:12 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -twiddle-log3 -n 16 -name t2_16 -include t.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: t2_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t2_16(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + 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 = ri[0]; + T3d = ii[0]; + { + E T9, Td, Tl, Tp, Ty, Tu, TD, TF, TI, TK, TV, TQ, TS, TX, T1z; + E T1v, T1C, T1D, T1G, T1I, T1q, T1p, T1l, T1j, T1c, T1g, 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 = ri[WS(ios, 8)]; + Td = ii[WS(ios, 8)]; + Tl = ri[WS(ios, 4)]; + Tp = ii[WS(ios, 4)]; + Ty = ii[WS(ios, 12)]; + Tu = ri[WS(ios, 12)]; + TD = ri[WS(ios, 2)]; + TF = ii[WS(ios, 2)]; + TI = ri[WS(ios, 10)]; + TK = ii[WS(ios, 10)]; + TV = ri[WS(ios, 6)]; + TQ = ri[WS(ios, 14)]; + TS = ii[WS(ios, 14)]; + TX = ii[WS(ios, 6)]; + T1z = ii[WS(ios, 7)]; + T1v = ri[WS(ios, 7)]; + T1C = ri[WS(ios, 3)]; + T1D = ii[WS(ios, 3)]; + T1G = ri[WS(ios, 11)]; + T1I = ii[WS(ios, 11)]; + T1q = ii[WS(ios, 15)]; + T1p = ri[WS(ios, 15)]; + T1l = ii[WS(ios, 13)]; + T1j = ri[WS(ios, 13)]; + T1c = ri[WS(ios, 5)]; + T1g = ii[WS(ios, 5)]; + { + E T12, T13, T15, T16, T3, T6, Tm, Tj, Tn, Th; + T12 = ri[WS(ios, 1)]; + T13 = ii[WS(ios, 1)]; + T15 = ri[WS(ios, 9)]; + T16 = ii[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; + ri[WS(ios, 8)] = T11 - T1M; + ri[0] = T11 + T1M; + T39 = T36 + T37; + T3g = T3a + T3f; + ii[0] = T39 + T3g; + ii[WS(ios, 8)] = T3g - T39; + } + { + E T2P, T30, T3j, T3m; + T2P = T2L + T2O; + T30 = KP707106781 * (T2U + T2Z); + ri[WS(ios, 10)] = T2P - T30; + ri[WS(ios, 2)] = T2P + T30; + T3j = KP707106781 * (T32 + T33); + T3m = T3k + T3l; + ii[WS(ios, 2)] = T3j + T3m; + ii[WS(ios, 10)] = T3m - T3j; + } + { + E T31, T34, T3n, T3o; + T31 = T2L - T2O; + T34 = KP707106781 * (T32 - T33); + ri[WS(ios, 14)] = T31 - T34; + ri[WS(ios, 6)] = T31 + T34; + T3n = KP707106781 * (T2Z - T2U); + T3o = T3l - T3k; + ii[WS(ios, 6)] = T3n + T3o; + ii[WS(ios, 14)] = T3o - T3n; + } + { + E T35, T38, T3h, T3i; + T35 = TB - T10; + T38 = T36 - T37; + ri[WS(ios, 12)] = T35 - T38; + ri[WS(ios, 4)] = T35 + T38; + T3h = T1L - T1o; + T3i = T3f - T3a; + ii[WS(ios, 4)] = T3h + T3i; + ii[WS(ios, 12)] = T3i - T3h; + } + } + { + 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; + ri[WS(ios, 11)] = T23 - T2q; + ri[WS(ios, 3)] = T23 + T2q; + T3x = T2s + T2t; + T3A = T3y + T3z; + ii[WS(ios, 3)] = T3x + T3A; + ii[WS(ios, 11)] = T3A - T3x; + } + { + E T2r, T2u, T3B, T3C; + T2r = T1R - T22; + T2u = T2s - T2t; + ri[WS(ios, 15)] = T2r - T2u; + ri[WS(ios, 7)] = T2r + T2u; + T3B = T2p - T2e; + T3C = T3z - T3y; + ii[WS(ios, 7)] = T3B + T3C; + ii[WS(ios, 15)] = T3C - T3B; + } + { + E T2z, T2G, T3p, T3u; + T2z = T2v + T2y; + T2G = T2C + T2F; + ri[WS(ios, 9)] = T2z - T2G; + ri[WS(ios, 1)] = T2z + T2G; + T3p = T2I + T2J; + T3u = T3q + T3t; + ii[WS(ios, 1)] = T3p + T3u; + ii[WS(ios, 9)] = T3u - T3p; + } + { + E T2H, T2K, T3v, T3w; + T2H = T2v - T2y; + T2K = T2I - T2J; + ri[WS(ios, 13)] = T2H - T2K; + ri[WS(ios, 5)] = T2H + T2K; + T3v = T2F - T2C; + T3w = T3t - T3q; + ii[WS(ios, 5)] = T3v + T3w; + ii[WS(ios, 13)] = T3w - T3v; + } + } + } + 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 ct_desc desc = { 16, "t2_16", twinstr, {156, 68, 40, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t2_16) (planner *p) { + X(kdft_dit_register) (p, t2_16, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t2_32.c b/src/fftw3/dft/codelets/standard/t2_32.c new file mode 100644 index 0000000..b065ecb --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t2_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 21:30:26 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -twiddle-log3 -n 32 -name t2_32 -include t.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: t2_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_32.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t2_32(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 8) { + E T1, T7G, Tn, Tp, T3t, T4S, TQ, T3G, T49, T20, T2n, T4y, T1J, T43, T2w; + E T4z, T36, T4Z, TK, T8b, T40, T6l, T3U, T6k, T1h, T3L, T1D, T3V, T1s, T3X; + E T3E, T7E, T3O, T6h, T2k, T6w, T4i, T4x, T3q, T6I, T4O, T4P, T3w, T4T, T4R; + E T4U, Tm, To, TX, T4I, T3a, T3H, T31, T4Y, T3f, T4J, T2G, T4s, T4r, T2B; + E T4q, T4t, T27, T4a, T2M, T4m, T4n, T2P, T4l, T4o, T1U, T44; + T1 = ri[0]; + T7G = ii[0]; + Tn = ri[WS(ios, 16)]; + Tp = ii[WS(ios, 16)]; + { + E Tv, Tz, TE, TI, TP, TN, TU, TW, T12, T16, T1k, T1b, T1f, T1l, T24; + E T1z, T1w, T1u, T1q, T1o, T1B, T1X, T1Z, T1T, T1R, T1I, T1G, T26, T2O, T3e; + E T3m, T3o, T3u, T3v, T3c, T30, T2W, T33, T35, T38, T39, T2N, T2r, T2v, T2m; + E T2l, T2i, T2g, T2z, T2A, T2D, T2F, T2L, T2J, 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 = ri[WS(ios, 8)]; + Tz = ii[WS(ios, 8)]; + TE = ri[WS(ios, 24)]; + TI = ii[WS(ios, 24)]; + TP = ii[WS(ios, 4)]; + TN = ri[WS(ios, 4)]; + TU = ri[WS(ios, 20)]; + TW = ii[WS(ios, 20)]; + T12 = ri[WS(ios, 28)]; + T16 = ii[WS(ios, 28)]; + T1k = ri[WS(ios, 2)]; + T1b = ri[WS(ios, 12)]; + T1f = ii[WS(ios, 12)]; + T1l = ii[WS(ios, 2)]; + T24 = ri[WS(ios, 22)]; + T1z = ri[WS(ios, 26)]; + T1w = ii[WS(ios, 10)]; + T1u = ri[WS(ios, 10)]; + T1q = ii[WS(ios, 18)]; + T1o = ri[WS(ios, 18)]; + T1B = ii[WS(ios, 26)]; + T1X = ri[WS(ios, 6)]; + T1Z = ii[WS(ios, 6)]; + T1T = ii[WS(ios, 14)]; + T1R = ri[WS(ios, 14)]; + T1I = ii[WS(ios, 30)]; + T1G = ri[WS(ios, 30)]; + T26 = ii[WS(ios, 22)]; + T2O = ii[WS(ios, 13)]; + T3e = ii[WS(ios, 23)]; + T3m = ri[WS(ios, 19)]; + T3o = ii[WS(ios, 19)]; + T3u = ri[WS(ios, 11)]; + T3v = ii[WS(ios, 11)]; + T3c = ri[WS(ios, 23)]; + T30 = ii[WS(ios, 31)]; + T2W = ri[WS(ios, 31)]; + T33 = ri[WS(ios, 15)]; + T35 = ii[WS(ios, 15)]; + T38 = ri[WS(ios, 7)]; + T39 = ii[WS(ios, 7)]; + T2N = ri[WS(ios, 13)]; + T2r = ri[WS(ios, 25)]; + T2v = ii[WS(ios, 25)]; + T2m = ii[WS(ios, 9)]; + T2l = ri[WS(ios, 9)]; + T2i = ii[WS(ios, 17)]; + T2g = ri[WS(ios, 17)]; + T2z = ri[WS(ios, 5)]; + T2A = ii[WS(ios, 5)]; + T2D = ri[WS(ios, 21)]; + T2F = ii[WS(ios, 21)]; + T2L = ii[WS(ios, 29)]; + T2J = ri[WS(ios, 29)]; + { + E T2c, T2d, T3i, T3j, T3s, T3r, T4, T7, T5, T8, T6, T9, T14, T1d, Ts; + E T18, T19, T1c, Te, Td, Tt, Tw, T13, TZ, T10, Tx; + T2c = ri[WS(ios, 1)]; + T2d = ii[WS(ios, 1)]; + T3i = ri[WS(ios, 3)]; + T3j = ii[WS(ios, 3)]; + T3s = ii[WS(ios, 27)]; + T3r = ri[WS(ios, 27)]; + 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); + } + } + } + { + 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; + ri[WS(ios, 16)] = T2b - T3A; + ri[WS(ios, 8)] = T7x + T7A; + ri[0] = T2b + T3A; + ri[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; + ii[0] = T7B + T7K; + ii[WS(ios, 24)] = T7M - T7L; + ii[WS(ios, 16)] = T7K - T7B; + ii[WS(ios, 8)] = 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); + } + ri[WS(ios, 20)] = T7h - T7s; + ii[WS(ios, 20)] = T7Q - T7N; + ri[WS(ios, 4)] = T7h + T7s; + ii[WS(ios, 4)] = T7N + T7Q; + ri[WS(ios, 28)] = T7t - T7w; + ii[WS(ios, 28)] = T7S - T7R; + ri[WS(ios, 12)] = T7t + T7w; + ii[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; + } + ri[WS(ios, 18)] = T71 - T78; + ii[WS(ios, 18)] = T7Y - T7T; + ri[WS(ios, 2)] = T71 + T78; + ii[WS(ios, 2)] = T7T + T7Y; + ri[WS(ios, 26)] = T79 - T7c; + ii[WS(ios, 26)] = T80 - T7Z; + ri[WS(ios, 10)] = T79 + T7c; + ii[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; + } + ri[WS(ios, 23)] = T4f - T58; + ii[WS(ios, 23)] = T8y - T8v; + ri[WS(ios, 7)] = T4f + T58; + ii[WS(ios, 7)] = T8v + T8y; + ri[WS(ios, 31)] = T59 - T5c; + ii[WS(ios, 31)] = T8A - T8z; + ri[WS(ios, 15)] = T59 + T5c; + ii[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; + } + ri[WS(ios, 21)] = T5F - T5U; + ii[WS(ios, 21)] = T8k - T8h; + ri[WS(ios, 5)] = T5F + T5U; + ii[WS(ios, 5)] = T8h + T8k; + ri[WS(ios, 29)] = T5V - T5Y; + ii[WS(ios, 29)] = T8m - T8l; + ri[WS(ios, 13)] = T5V + T5Y; + ii[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; + } + ri[WS(ios, 22)] = T6v - T6S; + ii[WS(ios, 22)] = T84 - T81; + ri[WS(ios, 6)] = T6v + T6S; + ii[WS(ios, 6)] = T81 + T84; + ri[WS(ios, 30)] = T6T - T6W; + ii[WS(ios, 30)] = T86 - T85; + ri[WS(ios, 14)] = T6T + T6W; + ii[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; + } + ri[WS(ios, 19)] = T5h - T5o; + ii[WS(ios, 19)] = T8s - T8n; + ri[WS(ios, 3)] = T5h + T5o; + ii[WS(ios, 3)] = T8n + T8s; + ri[WS(ios, 27)] = T5p - T5s; + ii[WS(ios, 27)] = T8u - T8t; + ri[WS(ios, 11)] = T5p + T5s; + ii[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; + } + ri[WS(ios, 17)] = T63 - T6a; + ii[WS(ios, 17)] = T8e - T87; + ri[WS(ios, 1)] = T63 + T6a; + ii[WS(ios, 1)] = T87 + T8e; + ri[WS(ios, 25)] = T6b - T6e; + ii[WS(ios, 25)] = T8g - T8f; + ri[WS(ios, 9)] = T6b + T6e; + ii[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 ct_desc desc = { 32, "t2_32", twinstr, {376, 168, 112, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t2_32) (planner *p) { + X(kdft_dit_register) (p, t2_32, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t2_4.c b/src/fftw3/dft/codelets/standard/t2_4.c new file mode 100644 index 0000000..ced1a63 --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t2_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 21:30:08 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -twiddle-log3 -n 4 -name t2_4 -include t.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: t2_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_4.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t2_4(R *ri, R *ii, const R *W, stride ios, int m, int dist) +{ + int i; + for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 4) { + E T1, Tp, Ta, Te, To, Tl, Tk, Th; + T1 = ri[0]; + Tp = ii[0]; + { + E T7, T9, Tc, Td, Tg, Tf, T2, T4, T3, T5, T6, T8; + T7 = ri[WS(ios, 2)]; + T9 = ii[WS(ios, 2)]; + Tc = ri[WS(ios, 1)]; + Td = ii[WS(ios, 1)]; + Tg = ii[WS(ios, 3)]; + Tf = ri[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; + ri[WS(ios, 2)] = Tb - Ti; + ri[0] = Tb + Ti; + Tn = Tk + Tl; + Tq = To + Tp; + ii[0] = Tn + Tq; + ii[WS(ios, 2)] = Tq - Tn; + } + { + E Tj, Tm, Tr, Ts; + Tj = T1 - Ta; + Tm = Tk - Tl; + ri[WS(ios, 3)] = Tj - Tm; + ri[WS(ios, 1)] = Tj + Tm; + Tr = Tp - To; + Ts = Te - Th; + ii[WS(ios, 1)] = Tr - Ts; + ii[WS(ios, 3)] = Ts + Tr; + } + } + 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 ct_desc desc = { 4, "t2_4", twinstr, {16, 8, 8, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t2_4) (planner *p) { + X(kdft_dit_register) (p, t2_4, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t2_64.c b/src/fftw3/dft/codelets/standard/t2_64.c new file mode 100644 index 0000000..6fc7efd --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t2_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 21:30:32 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -twiddle-log3 -n 64 -name t2_64 -include t.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: t2_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_64.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t2_64(R *ri, R *ii, 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; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 10) { + E T1, Ti1, Tp, Tt, TH, TL, T6a, T6c, T4J, T4H, T1g, T91, T7W, T7m, T2O; + E T4j, T7P, T4P, T8y, T2w, T8t, T2Z, T8e, T48, T1z, T7s, T1I, T7t, T8p, Ten; + E T1Y, T7D, T2t, T7O, T7L, Te6, T3N, T8E, T7A, Te0, T4C, TeA, T8S, T9v, T65; + E Tfi, T9J, Taq, T6K, Tf6, Ta2, Ta5, T73, Tfc, Tad, Tag, T3z, T83, T3u, T82; + E T81, T84, T15, T9K, T68, T7j, T43, T9w, T4F, T8G, T5l, TeL, T9k, T9n, T6o; + E Tf2, T9Q, T9R, T6z, Tf3, T9T, T9W, To, Ts, T4o, T8u, T4U, T92, T5a, TeT; + E T8V, T8Y, T5G, TeG, T97, T9e, T27, T7X, T2T, T7E, T7b, Tai, T6T, Ta3, Tf7; + E Ta8, T7Q, T2H, T2c, T76, Tah, T7F, T4d, T8z, TG, TK, T69, T6b, T3b, T87; + E T5u, T9l, TeM, T9q, T88, T89, T3o, T86, T5P, T9f, TeH, T9a, T34, T8f, T1r; + E T7n, T3S, T8F, T4G, T4I; + T1 = ri[0]; + Ti1 = ii[0]; + Tp = ri[WS(ios, 32)]; + Tt = ii[WS(ios, 32)]; + TH = ri[WS(ios, 16)]; + TL = ii[WS(ios, 16)]; + T6a = ri[WS(ios, 47)]; + T6c = ii[WS(ios, 47)]; + T4J = ii[WS(ios, 49)]; + T4H = ri[WS(ios, 49)]; + { + E T12, T14, T1b, T1f, T1q, T1m, T1w, T1y, T1D, T1H, T1S, T1M, T1N, T1W, T2M; + E T2g, T2b, T29, T26, T22, T2i, T2E, T2G, T2v, T2u, T2r, T2n, T2N, T3a, T38; + E T3l, T3n, T3r, T3t, T33, T31, T2Y, T2W, T4g, T2S, T2Q, T3w, T3y, T3E, T3G; + E T3P, T3J, T3L, T3R, T4a, T4c, T47, T46, T42, T40, T4i, T6P, T6R, T6M, T6L; + E T6I, T6G, T6W, T6Y, T74, T75, T5I, T78, T7a, T6x, T6v, T6s, T6q, T6h, T6m; + E T6k, T6g, T5N, T5L, T5Z, T63, T66, T67, T5H, T54, T4D, T4A, T4y, T4n, T4l; + E T4E, T4X, T4Z, T4T, T4R, T4O, T4N, T58, T5s, T5q, T5x, T5z, T5C, T5E, T5n; + E T5m, T5j, T5h, T5d, T5e, 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 = ri[WS(ios, 48)]; + T14 = ii[WS(ios, 48)]; + T1b = ri[WS(ios, 8)]; + T1f = ii[WS(ios, 8)]; + T1q = ii[WS(ios, 40)]; + T1m = ri[WS(ios, 40)]; + T1w = ri[WS(ios, 56)]; + T1y = ii[WS(ios, 56)]; + T1D = ri[WS(ios, 24)]; + T1H = ii[WS(ios, 24)]; + T1S = ri[WS(ios, 36)]; + T1M = ri[WS(ios, 4)]; + T1N = ii[WS(ios, 4)]; + T1W = ii[WS(ios, 36)]; + T2M = ri[WS(ios, 2)]; + T2g = ri[WS(ios, 60)]; + T2b = ii[WS(ios, 52)]; + T29 = ri[WS(ios, 52)]; + T26 = ii[WS(ios, 20)]; + T22 = ri[WS(ios, 20)]; + T2i = ii[WS(ios, 60)]; + T2E = ri[WS(ios, 44)]; + T2G = ii[WS(ios, 44)]; + T2v = ii[WS(ios, 12)]; + T2u = ri[WS(ios, 12)]; + T2r = ii[WS(ios, 28)]; + T2n = ri[WS(ios, 28)]; + T2N = ii[WS(ios, 2)]; + T3a = ii[WS(ios, 10)]; + T38 = ri[WS(ios, 10)]; + T3l = ri[WS(ios, 42)]; + T3n = ii[WS(ios, 42)]; + T3r = ri[WS(ios, 58)]; + T3t = ii[WS(ios, 58)]; + T33 = ii[WS(ios, 50)]; + T31 = ri[WS(ios, 50)]; + T2Y = ii[WS(ios, 18)]; + T2W = ri[WS(ios, 18)]; + T4g = ri[WS(ios, 54)]; + T2S = ii[WS(ios, 34)]; + T2Q = ri[WS(ios, 34)]; + T3w = ri[WS(ios, 26)]; + T3y = ii[WS(ios, 26)]; + T3E = ri[WS(ios, 62)]; + T3G = ii[WS(ios, 62)]; + T3P = ri[WS(ios, 14)]; + T3J = ri[WS(ios, 30)]; + T3L = ii[WS(ios, 30)]; + T3R = ii[WS(ios, 14)]; + T4a = ri[WS(ios, 38)]; + T4c = ii[WS(ios, 38)]; + T47 = ii[WS(ios, 6)]; + T46 = ri[WS(ios, 6)]; + T42 = ii[WS(ios, 46)]; + T40 = ri[WS(ios, 46)]; + T4i = ii[WS(ios, 54)]; + T6P = ri[WS(ios, 51)]; + T6R = ii[WS(ios, 51)]; + T6M = ii[WS(ios, 19)]; + T6L = ri[WS(ios, 19)]; + T6I = ii[WS(ios, 35)]; + T6G = ri[WS(ios, 35)]; + T6W = ri[WS(ios, 59)]; + T6Y = ii[WS(ios, 59)]; + T74 = ri[WS(ios, 11)]; + T75 = ii[WS(ios, 11)]; + T5I = ii[WS(ios, 13)]; + T78 = ri[WS(ios, 43)]; + T7a = ii[WS(ios, 43)]; + T6x = ii[WS(ios, 23)]; + T6v = ri[WS(ios, 23)]; + T6s = ii[WS(ios, 55)]; + T6q = ri[WS(ios, 55)]; + T6h = ii[WS(ios, 7)]; + T6m = ii[WS(ios, 39)]; + T6k = ri[WS(ios, 39)]; + T6g = ri[WS(ios, 7)]; + T5N = ii[WS(ios, 45)]; + T5L = ri[WS(ios, 45)]; + T5Z = ri[WS(ios, 31)]; + T63 = ii[WS(ios, 31)]; + T66 = ri[WS(ios, 15)]; + T67 = ii[WS(ios, 15)]; + T5H = ri[WS(ios, 13)]; + T54 = ri[WS(ios, 25)]; + T4D = ri[WS(ios, 17)]; + T4A = ii[WS(ios, 33)]; + T4y = ri[WS(ios, 33)]; + T4n = ii[WS(ios, 22)]; + T4l = ri[WS(ios, 22)]; + T4E = ii[WS(ios, 17)]; + T4X = ri[WS(ios, 57)]; + T4Z = ii[WS(ios, 57)]; + T4T = ii[WS(ios, 41)]; + T4R = ri[WS(ios, 41)]; + T4O = ii[WS(ios, 9)]; + T4N = ri[WS(ios, 9)]; + T58 = ii[WS(ios, 25)]; + T5s = ii[WS(ios, 53)]; + T5q = ri[WS(ios, 53)]; + T5x = ri[WS(ios, 61)]; + T5z = ii[WS(ios, 61)]; + T5C = ri[WS(ios, 29)]; + T5E = ii[WS(ios, 29)]; + T5n = ii[WS(ios, 21)]; + T5m = ri[WS(ios, 21)]; + T5j = ii[WS(ios, 37)]; + T5h = ri[WS(ios, 37)]; + T5d = ri[WS(ios, 5)]; + T5e = ii[WS(ios, 5)]; + { + E T4u, T4v, T5T, T5U, T6C, T6D, T70, T71, T4, T7, T5, T8, TO, TP, T1U; + E T2p, T18, T2k, T2l, T2o, TT, TS, T19, T1c, T1T, T1P, T1Q, T1d; + T4u = ri[WS(ios, 1)]; + T4v = ii[WS(ios, 1)]; + T5T = ri[WS(ios, 63)]; + T5U = ii[WS(ios, 63)]; + T6C = ri[WS(ios, 3)]; + T6D = ii[WS(ios, 3)]; + T70 = ri[WS(ios, 27)]; + T71 = ii[WS(ios, 27)]; + { + 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); + } + } + } + { + 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; + } + ri[WS(ios, 32)] = T4t - T7g; + ii[WS(ios, 32)] = Ti6 - ThV; + ri[0] = T4t + T7g; + ii[0] = ThV + Ti6; + ri[WS(ios, 48)] = ThR - ThU; + ii[WS(ios, 48)] = Ti8 - Ti7; + ri[WS(ios, 16)] = ThR + ThU; + ii[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); + ri[WS(ios, 40)] = ThB - ThM; + ri[WS(ios, 8)] = ThB + ThM; + Ti9 = KP707106781 * (ThO + ThP); + ii[WS(ios, 8)] = Ti9 + Tic; + ii[WS(ios, 40)] = Tic - Ti9; + ThQ = KP707106781 * (ThO - ThP); + ri[WS(ios, 56)] = ThN - ThQ; + ri[WS(ios, 24)] = ThN + ThQ; + Tid = KP707106781 * (ThL - ThG); + ii[WS(ios, 24)] = Tid + Tie; + ii[WS(ios, 56)] = Tie - Tid; + } + } + { + 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; + ri[WS(ios, 44)] = TgP - Thc; + ri[WS(ios, 12)] = TgP + Thc; + Tin = The + Thf; + ii[WS(ios, 12)] = Tin + Tiq; + ii[WS(ios, 44)] = Tiq - Tin; + Thg = The - Thf; + ri[WS(ios, 60)] = Thd - Thg; + ri[WS(ios, 28)] = Thd + Thg; + Tir = Thb - Th0; + ii[WS(ios, 28)] = Tir + Tis; + ii[WS(ios, 60)] = Tis - Tir; + } + } + { + 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; + ri[WS(ios, 38)] = TfB - TfI; + ri[WS(ios, 6)] = TfB + TfI; + TiJ = TfK + TfL; + ii[WS(ios, 6)] = TiJ + TiO; + ii[WS(ios, 38)] = TiO - TiJ; + TfM = TfK - TfL; + ri[WS(ios, 54)] = TfJ - TfM; + ri[WS(ios, 22)] = TfJ + TfM; + TiP = TfH - TfE; + ii[WS(ios, 22)] = TiP + TiQ; + ii[WS(ios, 54)] = TiQ - TiP; + } + } + { + 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; + ri[WS(ios, 36)] = Thl - Ths; + ri[WS(ios, 4)] = Thl + Ths; + Tif = Thu + Thv; + ii[WS(ios, 4)] = Tif + Tik; + ii[WS(ios, 36)] = Tik - Tif; + Thw = Thu - Thv; + ri[WS(ios, 52)] = Tht - Thw; + ri[WS(ios, 20)] = Tht + Thw; + Til = Thr - Tho; + ii[WS(ios, 20)] = Til + Tim; + ii[WS(ios, 52)] = Tim - Til; + } + } + { + 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; + ri[WS(ios, 46)] = Tez - Tfs; + ri[WS(ios, 14)] = Tez + Tfs; + TiR = Tfu + Tfv; + ii[WS(ios, 14)] = TiR + TiU; + ii[WS(ios, 46)] = TiU - TiR; + Tfw = Tfu - Tfv; + ri[WS(ios, 62)] = Tft - Tfw; + ri[WS(ios, 30)] = Tft + Tfw; + TiV = Tfr - Tf0; + ii[WS(ios, 30)] = TiV + TiW; + ii[WS(ios, 62)] = TiW - TiV; + } + } + { + 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; + ri[WS(ios, 42)] = TfZ - Tge; + ri[WS(ios, 10)] = TfZ + Tge; + TiD = Tgg + Tgh; + ii[WS(ios, 10)] = TiD + TiG; + ii[WS(ios, 42)] = TiG - TiD; + Tgi = Tgg - Tgh; + ri[WS(ios, 58)] = Tgf - Tgi; + ri[WS(ios, 26)] = Tgf + Tgi; + TiH = Tgd - Tg6; + ii[WS(ios, 26)] = TiH + TiI; + ii[WS(ios, 58)] = TiI - TiH; + } + } + { + 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; + ri[WS(ios, 34)] = Tgn - Tgu; + ri[WS(ios, 2)] = Tgn + Tgu; + Tit = Tgw + Tgx; + ii[WS(ios, 2)] = Tit + TiA; + ii[WS(ios, 34)] = TiA - Tit; + Tgy = Tgw - Tgx; + ri[WS(ios, 50)] = Tgv - Tgy; + ri[WS(ios, 18)] = Tgv + Tgy; + TiB = Tgt - Tgq; + ii[WS(ios, 18)] = TiB + TiC; + ii[WS(ios, 50)] = TiC - TiB; + } + } + { + 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; + ri[WS(ios, 47)] = T8P - TaC; + ri[WS(ios, 15)] = T8P + TaC; + TjR = TaE + TaF; + TjU = TjS + TjT; + ii[WS(ios, 15)] = TjR + TjU; + ii[WS(ios, 47)] = TjU - TjR; + } + { + E TaD, TaG, TjV, TjW; + TaD = T7V - T8O; + TaG = TaE - TaF; + ri[WS(ios, 63)] = TaD - TaG; + ri[WS(ios, 31)] = TaD + TaG; + TjV = TaB - T9I; + TjW = TjT - TjS; + ii[WS(ios, 31)] = TjV + TjW; + ii[WS(ios, 63)] = TjW - TjV; + } + { + E TaL, TaS, TjJ, TjO; + TaL = TaH + TaK; + TaS = TaO + TaR; + ri[WS(ios, 39)] = TaL - TaS; + ri[WS(ios, 7)] = TaL + TaS; + TjJ = TaU + TaV; + TjO = TjK + TjN; + ii[WS(ios, 7)] = TjJ + TjO; + ii[WS(ios, 39)] = TjO - TjJ; + } + { + E TaT, TaW, TjP, TjQ; + TaT = TaH - TaK; + TaW = TaU - TaV; + ri[WS(ios, 55)] = TaT - TaW; + ri[WS(ios, 23)] = TaT + TaW; + TjP = TaR - TaO; + TjQ = TjN - TjK; + ii[WS(ios, 23)] = TjP + TjQ; + ii[WS(ios, 55)] = TjQ - TjP; + } + } + { + 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; + ri[WS(ios, 45)] = Tcb - TcO; + ri[WS(ios, 13)] = Tcb + TcO; + Tjn = TcQ + TcR; + Tjq = Tjo + Tjp; + ii[WS(ios, 13)] = Tjn + Tjq; + ii[WS(ios, 45)] = Tjq - Tjn; + } + { + E TcP, TcS, Tjr, Tjs; + TcP = TbV - Tca; + TcS = TcQ - TcR; + ri[WS(ios, 61)] = TcP - TcS; + ri[WS(ios, 29)] = TcP + TcS; + Tjr = TcN - Tcu; + Tjs = Tjp - Tjo; + ii[WS(ios, 29)] = Tjr + Tjs; + ii[WS(ios, 61)] = Tjs - Tjr; + } + { + E TcX, Td4, Tjf, Tjk; + TcX = TcT + TcW; + Td4 = Td0 + Td3; + ri[WS(ios, 37)] = TcX - Td4; + ri[WS(ios, 5)] = TcX + Td4; + Tjf = Td6 + Td7; + Tjk = Tjg + Tjj; + ii[WS(ios, 5)] = Tjf + Tjk; + ii[WS(ios, 37)] = Tjk - Tjf; + } + { + E Td5, Td8, Tjl, Tjm; + Td5 = TcT - TcW; + Td8 = Td6 - Td7; + ri[WS(ios, 53)] = Td5 - Td8; + ri[WS(ios, 21)] = Td5 + Td8; + Tjl = Td3 - Td0; + Tjm = Tjj - Tjg; + ii[WS(ios, 21)] = Tjl + Tjm; + ii[WS(ios, 53)] = Tjm - Tjl; + } + } + { + 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; + ri[WS(ios, 43)] = Tb9 - Tbo; + ri[WS(ios, 11)] = Tb9 + Tbo; + TjD = Tbq + Tbr; + TjG = TjE + TjF; + ii[WS(ios, 11)] = TjD + TjG; + ii[WS(ios, 43)] = TjG - TjD; + } + { + E Tbp, Tbs, TjH, TjI; + Tbp = Tb1 - Tb8; + Tbs = Tbq - Tbr; + ri[WS(ios, 59)] = Tbp - Tbs; + ri[WS(ios, 27)] = Tbp + Tbs; + TjH = Tbn - Tbg; + TjI = TjF - TjE; + ii[WS(ios, 27)] = TjH + TjI; + ii[WS(ios, 59)] = TjI - TjH; + } + { + E Tbx, TbE, Tjt, TjA; + Tbx = Tbt + Tbw; + TbE = TbA + TbD; + ri[WS(ios, 35)] = Tbx - TbE; + ri[WS(ios, 3)] = Tbx + TbE; + Tjt = TbG + TbH; + TjA = Tju + Tjz; + ii[WS(ios, 3)] = Tjt + TjA; + ii[WS(ios, 35)] = TjA - Tjt; + } + { + E TbF, TbI, TjB, TjC; + TbF = Tbt - Tbw; + TbI = TbG - TbH; + ri[WS(ios, 51)] = TbF - TbI; + ri[WS(ios, 19)] = TbF + TbI; + TjB = TbD - TbA; + TjC = Tjz - Tju; + ii[WS(ios, 19)] = TjB + TjC; + ii[WS(ios, 51)] = TjC - TjB; + } + } + { + 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; + ri[WS(ios, 41)] = Tdl - TdA; + ri[WS(ios, 9)] = Tdl + TdA; + Tj9 = TdC + TdD; + Tjc = Tja + Tjb; + ii[WS(ios, 9)] = Tj9 + Tjc; + ii[WS(ios, 41)] = Tjc - Tj9; + } + { + E TdB, TdE, Tjd, Tje; + TdB = Tdd - Tdk; + TdE = TdC - TdD; + ri[WS(ios, 57)] = TdB - TdE; + ri[WS(ios, 25)] = TdB + TdE; + Tjd = Tdz - Tds; + Tje = Tjb - Tja; + ii[WS(ios, 25)] = Tjd + Tje; + ii[WS(ios, 57)] = Tje - Tjd; + } + { + E TdJ, TdQ, TiX, Tj6; + TdJ = TdF + TdI; + TdQ = TdM + TdP; + ri[WS(ios, 33)] = TdJ - TdQ; + ri[WS(ios, 1)] = TdJ + TdQ; + TiX = TdS + TdT; + Tj6 = TiY + Tj5; + ii[WS(ios, 1)] = TiX + Tj6; + ii[WS(ios, 33)] = Tj6 - TiX; + } + { + E TdR, TdU, Tj7, Tj8; + TdR = TdF - TdI; + TdU = TdS - TdT; + ri[WS(ios, 49)] = TdR - TdU; + ri[WS(ios, 17)] = TdR + TdU; + Tj7 = TdP - TdM; + Tj8 = Tj5 - TiY; + ii[WS(ios, 17)] = Tj7 + Tj8; + ii[WS(ios, 49)] = Tj8 - Tj7; + } + } + } + } + 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 ct_desc desc = { 64, "t2_64", twinstr, {880, 386, 274, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t2_64) (planner *p) { + X(kdft_dit_register) (p, t2_64, &desc); +} diff --git a/src/fftw3/dft/codelets/standard/t2_8.c b/src/fftw3/dft/codelets/standard/t2_8.c new file mode 100644 index 0000000..d9aec9a --- /dev/null +++ b/src/fftw3/dft/codelets/standard/t2_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 21:30:08 EDT 2003 */ + +#include "codelet-dft.h" + +/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -twiddle-log3 -n 8 -name t2_8 -include t.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: t2_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + * $Id: t2_8.c,v 1.1 2008/10/17 06:11:09 scuri Exp $ + */ + +#include "t.h" + +static const R *t2_8(R *ri, R *ii, const R *W, stride ios, int m, int dist) +{ + DK(KP707106781, +0.707106781186547524400844362104849039284835938); + int i; + for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 6) { + E T1, T1c, TJ, T17, TY, TV, TR, Tk, Tr, TN, TM, Tw, TB, TS, Te; + E T1b; + T1 = ri[0]; + T1c = ii[0]; + { + E T9, Td, Th, Tj, To, Tq, Ty, TA, Tv, Tu, T3, T6, T4, Tb, T7; + E Ta, Tg, Ti, TI, TX, Tl, Tm, Tn, TW, Tp, TF; + T9 = ri[WS(ios, 4)]; + Td = ii[WS(ios, 4)]; + Th = ri[WS(ios, 2)]; + Tj = ii[WS(ios, 2)]; + To = ri[WS(ios, 6)]; + Tq = ii[WS(ios, 6)]; + Ty = ri[WS(ios, 5)]; + TA = ii[WS(ios, 5)]; + Tv = ii[WS(ios, 1)]; + Tu = ri[WS(ios, 1)]; + { + E TD, TE, TG, TH, T2, T5; + TD = ri[WS(ios, 7)]; + TE = ii[WS(ios, 7)]; + TG = ri[WS(ios, 3)]; + TH = ii[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); + } + 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; + } + ri[WS(ios, 4)] = Tt - TK; + ii[WS(ios, 4)] = T1e - T19; + ri[0] = Tt + TK; + ii[0] = T19 + T1e; + ri[WS(ios, 6)] = T15 - T18; + ii[WS(ios, 6)] = T1g - T1f; + ri[WS(ios, 2)] = T15 + T18; + ii[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); + ri[WS(ios, 5)] = TP - T10; + ri[WS(ios, 1)] = TP + T10; + T1h = KP707106781 * (T12 + T13); + ii[WS(ios, 1)] = T1h + T1k; + ii[WS(ios, 5)] = T1k - T1h; + T14 = KP707106781 * (T12 - T13); + ri[WS(ios, 7)] = T11 - T14; + ri[WS(ios, 3)] = T11 + T14; + T1l = KP707106781 * (TZ - TU); + ii[WS(ios, 3)] = T1l + T1m; + ii[WS(ios, 7)] = T1m - T1l; + } + } + } + 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 ct_desc desc = { 8, "t2_8", twinstr, {56, 26, 18, 0}, &GENUS, 0, 0, 0 }; + +void X(codelet_t2_8) (planner *p) { + X(kdft_dit_register) (p, t2_8, &desc); +} diff --git a/src/fftw3/dft/codelets/t.c b/src/fftw3/dft/codelets/t.c new file mode 100644 index 0000000..b3fe55b --- /dev/null +++ b/src/fftw3/dft/codelets/t.c @@ -0,0 +1,36 @@ +/* + * 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-dft.h" +#include "t.h" + +static int okp(const ct_desc *d, + const R *rio, const R *iio, + int ios, int vs, int m, int dist, const planner *plnr) +{ + UNUSED(rio); UNUSED(iio); UNUSED(m); UNUSED(plnr); + return (1 + && (!d->s1 || (d->s1 == ios)) + && (!d->s2 || (d->s2 == vs)) + && (!d->dist || (d->dist == dist)) + ); +} + +const ct_genus GENUS = { okp, 1 }; diff --git a/src/fftw3/dft/codelets/t.h b/src/fftw3/dft/codelets/t.h new file mode 100644 index 0000000..ecb5abc --- /dev/null +++ b/src/fftw3/dft/codelets/t.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(dft_t_genus) +extern const ct_genus GENUS; diff --git a/src/fftw3/dft/conf.c b/src/fftw3/dft/conf.c new file mode 100644 index 0000000..30edb41 --- /dev/null +++ b/src/fftw3/dft/conf.c @@ -0,0 +1,51 @@ +/* + * 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: conf.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" + +static const solvtab s = +{ + SOLVTAB(X(dft_indirect_register)), + SOLVTAB(X(dft_rank0_register)), + SOLVTAB(X(dft_rank_geq2_register)), + SOLVTAB(X(dft_vrank_geq1_register)), + SOLVTAB(X(dft_vrank2_transpose_register)), + SOLVTAB(X(dft_vrank3_transpose_register)), + SOLVTAB(X(dft_buffered_register)), + SOLVTAB(X(dft_generic_register)), + SOLVTAB(X(dft_rader_register)), + SOLVTAB(X(dft_nop_register)), + SOLVTAB_END +}; + +void X(dft_conf_standard)(planner *p) +{ + X(solvtab_exec)(s, p); + X(solvtab_exec)(X(solvtab_dft_standard), p); + X(solvtab_exec)(X(solvtab_dft_inplace), p); +#if HAVE_K7 + X(solvtab_exec)(X(solvtab_dft_k7), p); +#endif +#if HAVE_SIMD + X(solvtab_exec)(X(solvtab_dft_simd), p); +#endif +} diff --git a/src/fftw3/dft/ct-dif.c b/src/fftw3/dft/ct-dif.c new file mode 100644 index 0000000..490dfc9 --- /dev/null +++ b/src/fftw3/dft/ct-dif.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 + * + */ + +/* $Id: ct-dif.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* decimation in time Cooley-Tukey */ +#include "dft.h" +#include "ct.h" + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const plan_ct *ego = (const plan_ct *) ego_; + + { + int i, m = ego->m, vl = ego->vl; + int is = ego->is, ivs = ego->ivs; + + for (i = 0; i < vl; ++i) + ego->k.dif(ri + i * ivs, ii + i * ivs, ego->td->W, + ego->ios, m, is); + } + + /* two-dimensional r x vl sub-transform: */ + { + plan *cld0 = ego->cld; + plan_dft *cld = (plan_dft *) cld0; + cld->apply(cld0, ri, ii, ro, io); + } +} + +static int applicable0(const solver_ct *ego, const problem *p_, + const planner *plnr) +{ + if (X(dft_ct_applicable)(ego, p_)) { + int ivs, ovs; + int vl; + const ct_desc *e = ego->desc; + const problem_dft *p = (const problem_dft *) p_; + iodim *d = p->sz->dims; + int m = d[0].n / e->radix; + X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs); + return (1 + /* DIF destroys the input and we don't like it */ + && (p->ri == p->ro || DESTROY_INPUTP(plnr)) + + && (e->genus->okp(e, p->ri, p->ii, + (int)m * d[0].is, 0, m, d[0].is, plnr)) + && (e->genus->okp(e, p->ri + ivs, p->ii + ivs, + (int)m * d[0].is, 0, m, d[0].is, plnr)) + ); + } + return 0; +} + +static int applicable(const solver_ct *ego, const problem *p_, + const planner *plnr) +{ + const problem_dft *p; + + if (!applicable0(ego, p_, plnr)) return 0; + + p = (const problem_dft *) p_; + + /* emulate fftw2 behavior */ + if (NO_VRECURSEP(plnr) && (p->vecsz->rnk > 0)) return 0; + + if (NO_UGLYP(plnr) && X(ct_uglyp)(16, p->sz->dims[0].n, ego->desc->radix)) + return 0; + + return 1; +} + +static void finish(plan_ct *ego) +{ + const ct_desc *d = ego->slv->desc; + ego->ios = X(mkstride)(ego->r, ego->m * ego->is); + X(ops_madd)(ego->vl * ego->m / d->genus->vl, &d->ops, &ego->cld->ops, + &ego->super.super.ops); +} + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const ctadt adt = { + sizeof(plan_ct), X(dft_mkcld_dif), finish, applicable, apply + }; + return X(mkplan_dft_ct)((const solver_ct *) ego, p, plnr, &adt); +} + + +solver *X(mksolver_dft_ct_dif)(kdft_dif codelet, const ct_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + static const char name[] = "dft-dif"; + union kct k; + k.dif = codelet; + + return X(mksolver_dft_ct)(k, desc, name, &sadt); +} diff --git a/src/fftw3/dft/ct-dit.c b/src/fftw3/dft/ct-dit.c new file mode 100644 index 0000000..3251c20 --- /dev/null +++ b/src/fftw3/dft/ct-dit.c @@ -0,0 +1,116 @@ +/* + * 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: ct-dit.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* decimation in time Cooley-Tukey */ +#include "dft.h" +#include "ct.h" + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const plan_ct *ego = (const plan_ct *) ego_; + plan *cld0 = ego->cld; + plan_dft *cld = (plan_dft *) cld0; + + /* two-dimensional r x vl sub-transform: */ + cld->apply(cld0, ri, ii, ro, io); + + { + int i, m = ego->m, vl = ego->vl; + int os = ego->os, ovs = ego->ovs; + + for (i = 0; i < vl; ++i) + ego->k.dit(ro + i * ovs, io + i * ovs, ego->td->W, + ego->ios, m, os); + } +} + +static int applicable0(const solver_ct *ego, const problem *p_, + const planner *plnr) +{ + UNUSED(plnr); + if (X(dft_ct_applicable)(ego, p_)) { + int ivs, ovs; + int vl; + const ct_desc *e = ego->desc; + const problem_dft *p = (const problem_dft *) 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->ro, p->io, + (int)m * d[0].os, 0, m, d[0].os, plnr)) + && (e->genus->okp(e, p->ro + ovs, p->io + ovs, + (int)m * d[0].os, 0, m, d[0].os, plnr)) + ); + } + return 0; +} + +static int applicable(const solver_ct *ego, const problem *p_, + const planner *plnr) +{ + const problem_dft *p; + + if (!applicable0(ego, p_, plnr)) + return 0; + + p = (const problem_dft *) 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_ct *ego) +{ + const ct_desc *d = ego->slv->desc; + ego->ios = X(mkstride)(ego->r, ego->m * ego->os); + X(ops_madd)(ego->vl * ego->m / d->genus->vl, &d->ops, &ego->cld->ops, + &ego->super.super.ops); +} + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const ctadt adt = { + sizeof(plan_ct), X(dft_mkcld_dit), finish, applicable, apply + }; + return X(mkplan_dft_ct)((const solver_ct *) ego, p, plnr, &adt); +} + + +solver *X(mksolver_dft_ct_dit)(kdft_dit codelet, const ct_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + static const char name[] = "dft-dit"; + union kct k; + k.dit = codelet; + + return X(mksolver_dft_ct)(k, desc, name, &sadt); +} diff --git a/src/fftw3/dft/ct-ditbuf.c b/src/fftw3/dft/ct-ditbuf.c new file mode 100644 index 0000000..2f7b57f --- /dev/null +++ b/src/fftw3/dft/ct-ditbuf.c @@ -0,0 +1,175 @@ +/* + * 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: ct-ditbuf.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* decimation in time Cooley-Tukey. Codelet operates on + contiguous buffer rather than directly on the output array. */ + +/* FIXME: find a way to use rank-0 transforms for this stuff */ + +#include "dft.h" +#include "ct.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). +*/ +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; + int ima = iA - rA, imb = iB - rB; + + for (i0 = 0; i0 < n0; ++i0) { + const R *pa; + R *pb; + + pa = rA; rA += sa0; + pb = rB; rB += sb0; + for (i1 = 0; i1 < n1; ++i1) { + R xr = pa[0], xi = pa[ima]; + pb[0] = xr; pb[imb] = xi; + pa += sa1; pb += sb1; + } + } +} + +static const R *doit(kdft_dit 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 + 1, 2, 2 * r); + W = k(buf, buf + 1, W, bufstride, batchsz, 2 * r); + cpy(r, batchsz, buf, buf + 1, 2, 2 * r, rA, iA, ios, dist); + return W; +} + +#define BATCHSZ 4 /* FIXME: parametrize? */ + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const plan_ct *ego = (const plan_ct *) ego_; + plan *cld0 = ego->cld; + plan_dft *cld = (plan_dft *) cld0; + + /* two-dimensional r x vl sub-transform: */ + cld->apply(cld0, ri, ii, ro, io); + + { + int i, j, m = ego->m, vl = ego->vl, r = ego->r; + 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) { + R *rA = ro + i * ovs, *iA = io + i * ovs; + const R *W = ego->td->W; + + for (j = m; j >= BATCHSZ; j -= BATCHSZ) { + W = doit(ego->k.dit, 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.dit, rA, iA, W, ios, os, r, j, buf, ego->vs); + + } + + STACK_FREE(buf); + } +} + +static int applicable0(const solver_ct *ego, const problem *p_, + const planner *plnr) +{ + UNUSED(plnr); + if (X(dft_ct_applicable)(ego, p_)) { + const ct_desc *e = ego->desc; + const problem_dft *p = (const problem_dft *) p_; + iodim *d = p->sz->dims; + int m = d[0].n / e->radix; + return (1 + + /* check both batch size and remainder */ + && (m < BATCHSZ || + (e->genus->okp(e, 0, ((const R *)0)+1, 2, 0, BATCHSZ, + 2 * e->radix, plnr))) + && (e->genus->okp(e, 0, ((const R *)0)+1, 2, 0, m % BATCHSZ, + 2 * e->radix, plnr)) + ); + } + return 0; +} + +static int applicable(const solver_ct *ego, const problem *p_, + const planner *plnr) +{ + const problem_dft *p; + + if (!applicable0(ego, p_, plnr)) return 0; + + p = (const problem_dft *) 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_ct *ego) +{ + const ct_desc *d = ego->slv->desc; + ego->iios = ego->m * ego->os; + ego->vs = X(mkstride)(ego->r, 2); + X(ops_madd)(ego->vl * ego->m / d->genus->vl, &d->ops, &ego->cld->ops, + &ego->super.super.ops); + + /* 4 load/stores * N * VL */ + ego->super.super.ops.other += 4 * ego->r * ego->m * ego->vl; +} + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const ctadt adt = { + sizeof(plan_ct), X(dft_mkcld_dit), finish, applicable, apply + }; + return X(mkplan_dft_ct)((const solver_ct *) ego, p, plnr, &adt); +} + + +solver *X(mksolver_dft_ct_ditbuf)(kdft_dit codelet, const ct_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + static const char name[] = "dft-ditbuf"; + union kct k; + k.dit = codelet; + + return X(mksolver_dft_ct)(k, desc, name, &sadt); +} diff --git a/src/fftw3/dft/ct-ditf.c b/src/fftw3/dft/ct-ditf.c new file mode 100644 index 0000000..10823ab --- /dev/null +++ b/src/fftw3/dft/ct-ditf.c @@ -0,0 +1,105 @@ +/* + * 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: ct-ditf.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* decimation in time Cooley-Tukey */ +#include "dft.h" +#include "ct.h" + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const plan_ct *ego = (const plan_ct *) ego_; + plan *cld0 = ego->cld; + plan_dft *cld = (plan_dft *) cld0; + + UNUSED(ro); /* == ri */ + UNUSED(io); /* == ii */ + ego->k.difsq(ri, ii, ego->td->W, ego->ios, ego->vs, ego->m, ego->is); + + /* two-dimensional r x vl sub-transform: */ + cld->apply(cld0, ri, ii, ri, ii); +} + +static int applicable(const solver_ct *ego, const problem *p_, + const planner *plnr) +{ + UNUSED(plnr); + if (X(dft_ct_applicable)(ego, p_)) { + const ct_desc *e = ego->desc; + const problem_dft *p = (const problem_dft *) p_; + iodim *d = p->sz->dims, *vd = p->vecsz->dims; + int m = d[0].n / e->radix; + + return (1 + && p->ri == p->ro /* inplace only */ + && p->vecsz->rnk == 1 + && vd[0].n == e->radix + && d[0].os == vd[0].is + && d[0].is == (int)e->radix * vd[0].is + && vd[0].os == (int)d[0].n * vd[0].is + + && (e->genus->okp(e, p->ri, p->ii, + vd[0].os, vd[0].is, m, d[0].is, plnr)) + ); + } + return 0; +} + +static void finish(plan_ct *ego) +{ + const ct_desc *d = ego->slv->desc; + ego->ios = X(mkstride)(ego->r, ego->ovs); + ego->vs = X(mkstride)(ego->r, ego->ivs); + X(ops_madd)(ego->m / d->genus->vl, &ego->slv->desc->ops, + &ego->cld->ops, &ego->super.super.ops); +} + +static problem *mkcld(const solver_ct *ego, const problem_dft *p) +{ + iodim *d = p->sz->dims; + iodim *vd = p->vecsz->dims; + const ct_desc *e = ego->desc; + + return X(mkproblem_dft_d)( + X(mktensor_1d)(d[0].n / e->radix, d[0].is, d[0].is), + X(mktensor_2d)(vd[0].n, vd[0].os, vd[0].os, + e->radix, vd[0].is,vd[0].is), + p->ro, p->io, p->ro, p->io); +} + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const ctadt adt = { + sizeof(plan_ct), mkcld, finish, applicable, apply + }; + return X(mkplan_dft_ct)((const solver_ct *) ego, p, plnr, &adt); +} + + +solver *X(mksolver_dft_ct_ditf)(kdft_difsq codelet, const ct_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + static const char name[] = "dft-ditf"; + union kct k; + k.difsq = codelet; + + return X(mksolver_dft_ct)(k, desc, name, &sadt); +} diff --git a/src/fftw3/dft/ct.c b/src/fftw3/dft/ct.c new file mode 100644 index 0000000..1cee970 --- /dev/null +++ b/src/fftw3/dft/ct.c @@ -0,0 +1,170 @@ +/* + * 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: ct.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* generic Cooley-Tukey routines */ +#include "dft.h" +#include "ct.h" + +static void destroy(plan *ego_) +{ + plan_ct *ego = (plan_ct *) ego_; + + X(plan_destroy_internal)(ego->cld); + X(stride_destroy)(ego->ios); + X(stride_destroy)(ego->vs); +} + +static void awake(plan *ego_, int flg) +{ + plan_ct *ego = (plan_ct *) ego_; + plan *cld = ego->cld; + + AWAKE(cld, flg); + X(twiddle_awake)(flg, &ego->td, ego->slv->desc->tw, + ego->r * ego->m, ego->r, ego->m); +} + +static void print(const plan *ego_, printer *p) +{ + const plan_ct *ego = (const plan_ct *) ego_; + const solver_ct *slv = ego->slv; + const ct_desc *e = slv->desc; + + p->print(p, "(%s-%d/%d%v \"%s\"%(%p%))", + slv->nam, ego->r, X(twiddle_length)(ego->r, e->tw), + ego->vl, e->nam, ego->cld); +} + +#define divides(a, b) (((int)(b) % (int)(a)) == 0) + +int X(dft_ct_applicable)(const solver_ct *ego, const problem *p_) +{ + if (DFTP(p_)) { + const problem_dft *p = (const problem_dft *) p_; + const ct_desc *d = ego->desc; + return (1 + && p->sz->rnk == 1 + && p->vecsz->rnk <= 1 + && divides(d->radix, p->sz->dims[0].n) + ); + } + return 0; +} + + +static const plan_adt padt = +{ + X(dft_solve), + awake, + print, + destroy +}; + + +plan *X(mkplan_dft_ct)(const solver_ct *ego, + const problem *p_, + planner *plnr, + const ctadt *adt) +{ + plan_ct *pln; + plan *cld; + int n, r, m; + iodim *d; + const problem_dft *p; + const ct_desc *e = ego->desc; + + if (!adt->applicable(ego, p_, plnr)) + return (plan *) 0; + + p = (const problem_dft *) p_; + d = p->sz->dims; + n = d[0].n; + r = e->radix; + m = n / r; + + cld = X(mkplan_d)(plnr, adt->mkcld(ego, p)); + + if (!cld) + return (plan *) 0; + + A(adt->pln_size >= sizeof(plan_ct)); + pln = (plan_ct *) X(mkplan_dft)(adt->pln_size, &padt, adt->apply); + + pln->slv = ego; + pln->cld = cld; + pln->k = ego->k; + 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); +} + +solver *X(mksolver_dft_ct)(union kct k, const ct_desc *desc, + const char *nam, const solver_adt *adt) +{ + solver_ct *slv; + + slv = MKSOLVER(solver_ct, adt); + + slv->desc = desc; + slv->k = k; + slv->nam = nam; + return &(slv->super); +} + +/* routines to create children are shared by many solvers */ +problem *X(dft_mkcld_dit)(const solver_ct *ego, const problem_dft *p) +{ + iodim *d = p->sz->dims; + const ct_desc *e = ego->desc; + int m = d[0].n / e->radix; + + tensor *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); + + return X(mkproblem_dft_d)(X(mktensor_1d)(m, e->radix * d[0].is, d[0].os), + cld_vec, p->ri, p->ii, p->ro, p->io); +} + +problem *X(dft_mkcld_dif)(const solver_ct *ego, const problem_dft *p) +{ + iodim *d = p->sz->dims; + const ct_desc *e = ego->desc; + int m = d[0].n / e->radix; + + tensor *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); + + return X(mkproblem_dft_d)(X(mktensor_1d)(m, d[0].is, e->radix * d[0].os), + cld_vec, p->ri, p->ii, p->ro, p->io); +} diff --git a/src/fftw3/dft/ct.h b/src/fftw3/dft/ct.h new file mode 100644 index 0000000..7ee8ff7 --- /dev/null +++ b/src/fftw3/dft/ct.h @@ -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 + * + */ + +/* $Id: ct.h,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* Cooley-Tukey variants */ +union kct { + kdft_dit dit; + kdft_dif dif; + kdft_difsq difsq; +}; + +typedef struct { + solver super; + const char *nam; + const ct_desc *desc; + union kct k; +} solver_ct; + +typedef struct { + plan_dft super; + union kct k; + plan *cld; + twid *td; + int r, m, vl; + int is, os, ivs, ovs, iios; + stride ios, vs; + const solver_ct *slv; +} plan_ct; + +/* data type describing a generic Cooley-Tukey solver */ +typedef struct +{ + size_t pln_size; + problem *(*mkcld)(const solver_ct *, const problem_dft *p); + void (*finish)(plan_ct *ego); + int (*applicable)(const solver_ct *ego, const problem *p, + const planner *plnr); + dftapply apply; +} ctadt; + +int X(dft_ct_applicable)(const solver_ct *ego, const problem *p_); + +plan *X(mkplan_dft_ct)(const solver_ct *ego, + const problem *p_, + planner *plnr, + const ctadt *adt); + +solver *X(mksolver_dft_ct)(union kct k, const ct_desc *desc, + const char *nam, const solver_adt *adt); + +problem *X(dft_mkcld_dit)(const solver_ct *ego, const problem_dft *p); +problem *X(dft_mkcld_dif)(const solver_ct *ego, const problem_dft *p); diff --git a/src/fftw3/dft/dft.h b/src/fftw3/dft/dft.h new file mode 100644 index 0000000..cc88a1d --- /dev/null +++ b/src/fftw3/dft/dft.h @@ -0,0 +1,89 @@ +/* + * 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.h,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#ifndef __DFT_H__ +#define __DFT_H__ + +#include "ifftw.h" +#include "codelet-dft.h" + +/* problem.c: */ +typedef struct { + problem super; + tensor *sz, *vecsz; + R *ri, *ii, *ro, *io; +} problem_dft; + +int X(problem_dft_p)(const problem *p); +#define DFTP X(problem_dft_p) /* shorthand */ + +void X(dft_zerotens)(tensor *sz, R *ri, R *ii); +problem *X(mkproblem_dft)(const tensor *sz, const tensor *vecsz, + R *ri, R *ii, R *ro, R *io); +problem *X(mkproblem_dft_d)(tensor *sz, tensor *vecsz, + R *ri, R *ii, R *ro, R *io); + +/* solve.c: */ +void X(dft_solve)(const plan *ego_, const problem *p_); + +/* plan.c: */ +typedef void (*dftapply) (const plan *ego, R *ri, R *ii, R *ro, R *io); + +typedef struct { + plan super; + dftapply apply; +} plan_dft; + +plan *X(mkplan_dft)(size_t size, const plan_adt *adt, dftapply apply); + +#define MKPLAN_DFT(type, adt, apply) \ + (type *)X(mkplan_dft)(sizeof(type), adt, apply) + +/* various solvers */ +solver *X(mksolver_dft_direct)(kdft k, const kdft_desc *desc); +solver *X(mksolver_dft_ct_dit)(kdft_dit codelet, const ct_desc *desc); +solver *X(mksolver_dft_ct_ditbuf)(kdft_dit codelet, const ct_desc *desc); +solver *X(mksolver_dft_ct_dif)(kdft_dif codelet, const ct_desc *desc); +solver *X(mksolver_dft_ct_ditf)(kdft_difsq codelet, const ct_desc *desc); + +extern void (*X(kdft_dit_register_hook))(planner *, kdft_dit, const ct_desc *); +extern void (*X(kdft_dif_register_hook))(planner *, kdft_dif, const ct_desc *); + +void X(dft_rank0_register)(planner *p); +void X(dft_rank_geq2_register)(planner *p); +void X(dft_indirect_register)(planner *p); +void X(dft_vrank_geq1_register)(planner *p); +void X(dft_vrank2_transpose_register)(planner *p); +void X(dft_vrank3_transpose_register)(planner *p); +void X(dft_buffered_register)(planner *p); +void X(dft_generic_register)(planner *p); +void X(dft_rader_register)(planner *p); +void X(dft_nop_register)(planner *p); + +/* rader-omega.c: auxiliary stuff for rader */ +R *X(dft_rader_mkomega)(plan *p_, int n, int ginv); +void X(dft_rader_free_omega)(R **omega); + +/* configurations */ +void X(dft_conf_standard)(planner *p); + +#endif /* __DFT_H__ */ diff --git a/src/fftw3/dft/direct.c b/src/fftw3/dft/direct.c new file mode 100644 index 0000000..cb11c88 --- /dev/null +++ b/src/fftw3/dft/direct.c @@ -0,0 +1,152 @@ +/* + * 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: direct.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* direct DFT solver, if we have a codelet */ + +#include "dft.h" + +typedef struct { + solver super; + const kdft_desc *desc; + kdft k; +} S; + +typedef struct { + plan_dft super; + + stride is, os; + int vl; + int ivs, ovs; + kdft k; + const S *slv; +} P; + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + ASSERT_ALIGNED_DOUBLE; + ego->k(ri, ii, ro, io, ego->is, ego->os, 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; + const kdft_desc *d = s->desc; + + p->print(p, "(dft-direct-%d%v \"%s\")", d->sz, ego->vl, d->nam); +} + +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr) +{ + if (DFTP(p_)) { + const S *ego = (const S *) ego_; + const problem_dft *p = (const problem_dft *) p_; + const kdft_desc *d = ego->desc; + int vl; + int ivs, ovs; + + return ( + 1 + && p->sz->rnk == 1 + && p->vecsz->rnk <= 1 + && p->sz->dims[0].n == d->sz + + /* check strides etc */ + && X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs) + + && (d->genus->okp(d, p->ri, p->ii, p->ro, p->io, + p->sz->dims[0].is, p->sz->dims[0].os, + vl, ivs, ovs, plnr)) + + && (0 + /* can operate out-of-place */ + || p->ri != p->ro + + /* + * 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_dft *p; + iodim *d; + const kdft_desc *e = ego->desc; + + static const plan_adt padt = { + X(dft_solve), X(null_awake), print, destroy + }; + + UNUSED(plnr); + + if (!applicable(ego_, p_, plnr)) + return (plan *)0; + + p = (const problem_dft *) p_; + + pln = MKPLAN_DFT(P, &padt, apply); + + d = p->sz->dims; + + pln->k = ego->k; + pln->is = X(mkstride)(e->sz, d[0].is); + pln->os = X(mkstride)(e->sz, d[0].os); + + X(tensor_tornk1)(p->vecsz, &pln->vl, &pln->ivs, &pln->ovs); + pln->slv = ego; + + X(ops_zero)(&pln->super.super.ops); + X(ops_madd2)(pln->vl / e->genus->vl, &e->ops, &pln->super.super.ops); + + return &(pln->super.super); +} + +/* constructor */ +solver *X(mksolver_dft_direct)(kdft k, const kdft_desc *desc) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->k = k; + slv->desc = desc; + return &(slv->super); +} diff --git a/src/fftw3/dft/generic.c b/src/fftw3/dft/generic.c new file mode 100644 index 0000000..eec32bd --- /dev/null +++ b/src/fftw3/dft/generic.c @@ -0,0 +1,204 @@ +/* + * 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 "dft.h" + +typedef struct { + solver super; +} S; + +typedef struct { + plan_dft super; + plan *cld; + twid *td; + int os; + int r, m; +} P; + +/***************************************************************************/ + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int n, m, r, j; + int os, osm; + E *buf; + const R *W; + + { + plan_dft *cld = (plan_dft *) ego->cld; + cld->apply((plan *) cld, ri, ii, ro, io); + } + + 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; + for (j = 0; j < m; ++j, ro += os, io += os) { + int k; + for (k = 0; k < r; ++k) { + E rb = ro[0], ib = io[0]; + int i, iw, iw_inc = j + m * k; + for (i = 1, iw = iw_inc; i < r; ++i) { + E xr = ro[i*osm], xi = io[i*osm]; + E wr = W[2*iw], wi = W[2*iw+1]; + /* note that W[iw] is the product of the DIT twiddle + factor and the size-r DFT twiddle factor */ + rb += xr * wr - xi * wi; + ib += xr * wi + xi * wr; + iw += iw_inc; + if (iw >= n) + iw -= n; + } + buf[2*k] = rb; + buf[2*k+1] = ib; + } + for (k = 0; k < r; ++k) { + ro[k*osm] = buf[2*k]; + io[k*osm] = buf[2*k+1]; + } + } + + STACK_FREE(buf); +} + +/***************************************************************************/ + +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); + 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, "(dft-generic-dit-%d%(%p%))", ego->r, ego->cld); +} + +static int applicable0(const problem *p_) +{ + if (DFTP(p_)) { + const problem_dft *p = (const problem_dft *) p_; + return (1 + && p->sz->rnk == 1 + && p->vecsz->rnk == 0 + && p->sz->dims[0].n > 1 + ); + } + + return 0; +} + +static int applicable(const solver *ego, const problem *p_, + const planner *plnr) +{ + UNUSED(ego); + if (NO_UGLYP(plnr)) return 0; /* always ugly */ + if (!applicable0(p_)) return 0; + + if (NO_LARGE_GENERICP(plnr)) { + const problem_dft *p = (const problem_dft *) 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_dft *p = (const problem_dft *) p_; + P *pln = 0; + int n, r, m; + int is, os; + plan *cld = (plan *) 0; + + static const plan_adt padt = { + X(dft_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_dft_d)(X(mktensor_1d)(m, r * is, os), + X(mktensor_1d)(r, is, m * os), + p->ri, p->ii, p->ro, p->io)); + if (!cld) goto nada; + + pln = MKPLAN_DFT(P, &padt, apply); + + pln->os = os; + pln->r = r; + pln->m = m; + pln->cld = cld; + pln->td = 0; + + X(ops_zero)(&pln->super.super.ops); + pln->super.super.ops.add = 4 * r * (r-1); + pln->super.super.ops.mul = 4 * r * (r-1); + /* 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, &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(void) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + return &(slv->super); +} + +void X(dft_generic_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/dft/indirect.c b/src/fftw3/dft/indirect.c new file mode 100644 index 0000000..e00eabf --- /dev/null +++ b/src/fftw3/dft/indirect.c @@ -0,0 +1,238 @@ +/* + * 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: indirect.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + + +/* solvers/plans for vectors of small DFT'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 "dft.h" + +typedef problem *(*mkcld_t) (const problem_dft *p); + +typedef struct { + dftapply apply; + problem *(*mkcld)(const problem_dft *p); + const char *nam; +} ndrct_adt; + +typedef struct { + solver super; + const ndrct_adt *adt; +} S; + +typedef struct { + plan_dft super; + plan *cldcpy, *cld; + const S *slv; +} P; + +/*-----------------------------------------------------------------------*/ +/* first rearrange, then transform */ +static void apply_before(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + + { + plan_dft *cldcpy = (plan_dft *) ego->cldcpy; + cldcpy->apply(ego->cldcpy, ri, ii, ro, io); + } + { + plan_dft *cld = (plan_dft *) ego->cld; + cld->apply(ego->cld, ro, io, ro, io); + } +} + +static problem *mkcld_before(const problem_dft *p) +{ + return X(mkproblem_dft_d)(X(tensor_copy_inplace)(p->sz, INPLACE_OS), + X(tensor_copy_inplace)(p->vecsz, INPLACE_OS), + p->ro, p->io, p->ro, p->io); +} + +static const ndrct_adt adt_before = +{ + apply_before, mkcld_before, "dft-indirect-before" +}; + +/*-----------------------------------------------------------------------*/ +/* first transform, then rearrange */ + +static void apply_after(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + + { + plan_dft *cld = (plan_dft *) ego->cld; + cld->apply(ego->cld, ri, ii, ri, ii); + } + { + plan_dft *cldcpy = (plan_dft *) ego->cldcpy; + cldcpy->apply(ego->cldcpy, ri, ii, ro, io); + } +} + +static problem *mkcld_after(const problem_dft *p) +{ + return X(mkproblem_dft_d)(X(tensor_copy_inplace)(p->sz, INPLACE_IS), + X(tensor_copy_inplace)(p->vecsz, INPLACE_IS), + p->ri, p->ii, p->ri, p->ii); +} + +static const ndrct_adt adt_after = +{ + apply_after, mkcld_after, "dft-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 (DFTP(p_)) { + const S *ego = (const S *) ego_; + const problem_dft *p = (const problem_dft *) 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->ri == p->ro + && !(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->ri != p->ro && 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->ri != p->ro && 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; + { + const problem_dft *p = (const problem_dft *) p_; + if (NO_INDIRECT_OP_P(plnr) && p->ri != p->ro) return 0; + } + return 1; +} + +static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr) +{ + const problem_dft *p = (const problem_dft *) p_; + const S *ego = (const S *) ego_; + P *pln; + plan *cld = 0, *cldcpy = 0; + + static const plan_adt padt = { + X(dft_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr)) + return (plan *) 0; + + plnr->planner_flags |= NO_BUFFERING; + + cldcpy = X(mkplan_d)(plnr, + X(mkproblem_dft_d)(X(mktensor_0d)(), + X(tensor_append)(p->vecsz, p->sz), + p->ri, p->ii, p->ro, p->io)); + if (!cldcpy) goto nada; + + cld = X(mkplan_d)(plnr, ego->adt->mkcld(p)); + if (!cld) goto nada; + + pln = MKPLAN_DFT(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(dft_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/dft/kdft-dif.c b/src/fftw3/dft/kdft-dif.c new file mode 100644 index 0000000..c6fad12 --- /dev/null +++ b/src/fftw3/dft/kdft-dif.c @@ -0,0 +1,32 @@ +/* + * 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: kdft-dif.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" + +void (*X(kdft_dif_register_hook))(planner *, kdft_dit, const ct_desc *) = 0; + +void X(kdft_dif_register)(planner *p, kdft_dif codelet, const ct_desc *desc) +{ + REGISTER_SOLVER(p, X(mksolver_dft_ct_dif)(codelet, desc)); + if (X(kdft_dif_register_hook)) + X(kdft_dif_register_hook)(p, codelet, desc); +} diff --git a/src/fftw3/dft/kdft-difsq.c b/src/fftw3/dft/kdft-difsq.c new file mode 100644 index 0000000..aa930ba --- /dev/null +++ b/src/fftw3/dft/kdft-difsq.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: kdft-difsq.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" + +void X(kdft_difsq_register)(planner *p, kdft_difsq k, const ct_desc *desc) +{ + REGISTER_SOLVER(p, X(mksolver_dft_ct_ditf)(k, desc)); +} diff --git a/src/fftw3/dft/kdft-dit.c b/src/fftw3/dft/kdft-dit.c new file mode 100644 index 0000000..054496c --- /dev/null +++ b/src/fftw3/dft/kdft-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: kdft-dit.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" + +void (*X(kdft_dit_register_hook))(planner *, kdft_dit, const ct_desc *) = 0; + +void X(kdft_dit_register)(planner *p, kdft_dit codelet, const ct_desc *desc) +{ + REGISTER_SOLVER(p, X(mksolver_dft_ct_dit)(codelet, desc)); + REGISTER_SOLVER(p, X(mksolver_dft_ct_ditbuf)(codelet, desc)); + if (X(kdft_dit_register_hook)) + X(kdft_dit_register_hook)(p, codelet, desc); +} diff --git a/src/fftw3/dft/kdft.c b/src/fftw3/dft/kdft.c new file mode 100644 index 0000000..1f0f57f --- /dev/null +++ b/src/fftw3/dft/kdft.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: kdft.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" + +void X(kdft_register)(planner *p, kdft codelet, const kdft_desc *desc) +{ + solver *s = X(mksolver_dft_direct)(codelet, desc); + REGISTER_SOLVER(p, s); +} diff --git a/src/fftw3/dft/nop.c b/src/fftw3/dft/nop.c new file mode 100644 index 0000000..9ff8161 --- /dev/null +++ b/src/fftw3/dft/nop.c @@ -0,0 +1,88 @@ +/* + * 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: nop.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* plans for vrank -infty DFTs (nothing to do) */ + +#include "dft.h" + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + UNUSED(ego_); + UNUSED(ri); + UNUSED(ii); + UNUSED(ro); + UNUSED(io); +} + +static int applicable(const solver *ego_, const problem *p_) +{ + UNUSED(ego_); + if (DFTP(p_)) { + const problem_dft *p = (const problem_dft *) p_; + return 0 + /* case 1 : -infty vector rank */ + || (!FINITE_RNK(p->vecsz->rnk)) + + /* case 2 : rank-0 in-place dft */ + || (1 + && p->sz->rnk == 0 + && FINITE_RNK(p->vecsz->rnk) + && p->ro == p->ri + && X(tensor_inplace_strides)(p->vecsz) + ); + } + return 0; +} + +static void print(const plan *ego, printer *p) +{ + UNUSED(ego); + p->print(p, "(dft-nop)"); +} + +static plan *mkplan(const solver *ego, const problem *p, planner *plnr) +{ + static const plan_adt padt = { + X(dft_solve), X(null_awake), print, X(plan_null_destroy) + }; + plan_dft *pln; + + UNUSED(plnr); + + if (!applicable(ego, p)) + return (plan *) 0; + pln = MKPLAN_DFT(plan_dft, &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(dft_nop_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/dft/plan.c b/src/fftw3/dft/plan.c new file mode 100644 index 0000000..090a5fb --- /dev/null +++ b/src/fftw3/dft/plan.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: plan.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" + +plan *X(mkplan_dft)(size_t size, const plan_adt *adt, dftapply apply) +{ + plan_dft *ego; + + ego = (plan_dft *) X(mkplan)(size, adt); + ego->apply = apply; + + return &(ego->super); +} diff --git a/src/fftw3/dft/problem.c b/src/fftw3/dft/problem.c new file mode 100644 index 0000000..51822ad --- /dev/null +++ b/src/fftw3/dft/problem.c @@ -0,0 +1,121 @@ +/* + * 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: problem.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" +#include <stddef.h> + +static void destroy(problem *ego_) +{ + problem_dft *ego = (problem_dft *) ego_; + X(tensor_destroy2)(ego->vecsz, ego->sz); + X(ifree)(ego_); +} + +static void hash(const problem *p_, md5 *m) +{ + const problem_dft *p = (const problem_dft *) p_; + X(md5puts)(m, "dft"); + X(md5int)(m, p->ri == p->ro); + X(md5ptrdiff)(m, p->ii - p->ri); + X(md5ptrdiff)(m, p->io - p->ro); + X(md5int)(m, X(alignment_of)(p->ri)); + X(md5int)(m, X(alignment_of)(p->ii)); + X(md5int)(m, X(alignment_of)(p->ro)); + X(md5int)(m, X(alignment_of)(p->io)); + X(tensor_md5)(m, p->sz); + X(tensor_md5)(m, p->vecsz); +} + +static void print(problem *ego_, printer *p) +{ + const problem_dft *ego = (const problem_dft *) ego_; + p->print(p, "(dft %d %d %d %td %td %T %T)", + ego->ri == ego->ro, + X(alignment_of)(ego->ri), + X(alignment_of)(ego->ro), + ego->ii - ego->ri, + ego->io - ego->ro, + ego->sz, + ego->vecsz); +} + +static void zero(const problem *ego_) +{ + const problem_dft *ego = (const problem_dft *) ego_; + tensor *sz = X(tensor_append)(ego->vecsz, ego->sz); + X(dft_zerotens)(sz, UNTAINT(ego->ri), UNTAINT(ego->ii)); + X(tensor_destroy)(sz); +} + +static const problem_adt padt = +{ + hash, + zero, + print, + destroy +}; + +int X(problem_dft_p)(const problem *p) +{ + return (p->adt == &padt); +} + +problem *X(mkproblem_dft)(const tensor *sz, const tensor *vecsz, + R *ri, R *ii, R *ro, R *io) +{ + problem_dft *ego = + (problem_dft *)X(mkproblem)(sizeof(problem_dft), &padt); + + A((ri == ro) == (ii == io)); /* both in place or both out of place */ + A(X(tensor_kosherp)(sz)); + A(X(tensor_kosherp)(vecsz)); + + /* enforce pointer equality if untainted pointers are equal */ + if (UNTAINT(ri) == UNTAINT(ro)) + ri = ro = JOIN_TAINT(ri, ro); + if (UNTAINT(ii) == UNTAINT(io)) + ii = io = JOIN_TAINT(ii, io); + + /* more correctness conditions: */ + A(TAINTOF(ri) == TAINTOF(ii)); + A(TAINTOF(ro) == TAINTOF(io)); + + ego->sz = X(tensor_compress)(sz); + ego->vecsz = X(tensor_compress_contiguous)(vecsz); + ego->ri = ri; + ego->ii = ii; + ego->ro = ro; + ego->io = io; + + A(FINITE_RNK(ego->sz->rnk)); + return &(ego->super); +} + +/* Same as X(mkproblem_dft), but also destroy input tensors. */ +problem *X(mkproblem_dft_d)(tensor *sz, tensor *vecsz, + R *ri, R *ii, R *ro, R *io) +{ + problem *p; + p = X(mkproblem_dft)(sz, vecsz, ri, ii, ro, io); + X(tensor_destroy2)(vecsz, sz); + return p; +} diff --git a/src/fftw3/dft/rader-omega.c b/src/fftw3/dft/rader-omega.c new file mode 100644 index 0000000..7fd86b9 --- /dev/null +++ b/src/fftw3/dft/rader-omega.c @@ -0,0 +1,57 @@ +/* + * 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 "dft.h" + +static rader_tl *omegas = 0; + +R *X(dft_rader_mkomega)(plan *p_, int n, int ginv) +{ + plan_dft *p = (plan_dft *) 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) * 2, TWIDDLES); + + scale = n - 1.0; /* normalization for convolution */ + + for (i = 0, gpower = 1; i < n-1; ++i, gpower = MULMOD(gpower, ginv, n)) { + omega[2*i] = X(cos2pi)(gpower, n) / scale; + omega[2*i+1] = FFT_SIGN * X(sin2pi)(gpower, n) / scale; + } + A(gpower == 1); + + AWAKE(p_, 1); + p->apply(p_, omega, omega + 1, omega, omega + 1); + AWAKE(p_, 0); + + X(rader_tl_insert)(n, n, ginv, omega, &omegas); + return omega; +} + +void X(dft_rader_free_omega)(R **omega) +{ + X(rader_tl_delete)(*omega, &omegas); + *omega = 0; +} diff --git a/src/fftw3/dft/rader.c b/src/fftw3/dft/rader.c new file mode 100644 index 0000000..f31f370 --- /dev/null +++ b/src/fftw3/dft/rader.c @@ -0,0 +1,491 @@ +/* + * 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 "dft.h" + +/* + * Compute transforms of prime sizes using Rader's trick: turn them + * into convolutions of size n - 1, which you then perform via a pair + * of FFTs. This file contains both nontwiddle (direct) and + * twiddle (DIT Cooley-Tukey) solvers. + */ + +typedef struct { + solver super; +} S; + +typedef struct { + plan_dft super; + + plan *cld1, *cld2; + R *omega; + int n, g, ginv; + int is, os; + plan *cld_omega; +} P; + +typedef struct { + P super; + plan *cld; + R *W; + int os; + int m; +} P_dit; + + +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. (Although we often compute separate plans these days anyway + due to the differing strides, etcetera.) + + Of course, since the new FFTW gives us separate pointers to + the real and imaginary parts, we could have instead used the + fft(r,i) = ifft(i,r) form of this identity, but it was easier to + reuse the code from our old version. */ + +static void apply_aux(int r, int ginv, plan *cld1,plan *cld2, const R *omega, + R *buf, R r0, R i0, R *ro, R *io, int os) +{ + int gpower, k; + + /* compute DFT of buf, storing in output (except DC): */ + { + plan_dft *cld = (plan_dft *) cld1; + cld->apply(cld1, buf, buf+1, ro+os, io+os); + } + + /* set output DC component: */ + ro[0] = r0 + ro[os]; + io[0] = i0 + io[os]; + + /* now, multiply by omega: */ + for (k = 0; k < r - 1; ++k) { + E rB, iB, rW, iW; + rW = omega[2*k]; + iW = omega[2*k+1]; + rB = ro[(k+1)*os]; + iB = io[(k+1)*os]; + ro[(k+1)*os] = rW * rB - iW * iB; + io[(k+1)*os] = -(rW * iB + iW * rB); + } + + /* this will add input[0] to all of the outputs after the ifft */ + ro[os] += r0; + io[os] -= i0; + + /* inverse FFT: */ + { + plan_dft *cld = (plan_dft *) cld2; + cld->apply(cld2, ro+os, io+os, buf, buf+1); + } + + /* finally, do inverse permutation to unshuffle the output: */ + gpower = 1; + for (k = 0; k < r - 1; ++k, gpower = MULMOD(gpower, ginv, r)) { + ro[gpower * os] = buf[2*k]; + io[gpower * os] = -buf[2*k+1]; + } + A(gpower == 1); +} + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int is; + int k, gpower, g, r; + R *buf; + + r = ego->n; is = ego->is; g = ego->g; + buf = (R *) MALLOC(sizeof(R) * (r - 1) * 2, BUFFERS); + + /* First, permute the input, storing in buf: */ + for (gpower = 1, k = 0; k < r - 1; ++k, gpower = MULMOD(gpower, g, r)) { + R rA, iA; + rA = ri[gpower * is]; + iA = ii[gpower * is]; + buf[2*k] = rA; buf[2*k + 1] = iA; + } + /* gpower == g^(r-1) mod r == 1 */; + + apply_aux(r, ego->ginv, ego->cld1, ego->cld2, ego->omega, + buf, ri[0], ii[0], ro, io, ego->os); + + X(ifree)(buf); +} + +static void apply_dit(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P_dit *ego_dit = (const P_dit *) ego_; + const P *ego; + plan *cld1, *cld2; + int os, osm; + int j, k, gpower, g, ginv, r, m; + R *buf; + const R *omega, *W; + + { + plan *cld0 = ego_dit->cld; + plan_dft *cld = (plan_dft *) cld0; + cld->apply(cld0, ri, ii, ro, io); + } + + ego = (const P *) ego_; + cld1 = ego->cld1; + cld2 = ego->cld2; + r = ego->n; + m = ego_dit->m; + g = ego->g; + ginv = ego->ginv; + omega = ego->omega; + W = ego_dit->W; + os = ego_dit->os; + osm = ego->os; + gpower = 1; + + buf = (R *) MALLOC(sizeof(R) * (r - 1) * 2, BUFFERS); + + for (j = 0; j < m; ++j, ro += 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)) { + E rA, iA, rW, iW; + rA = ro[gpower * osm]; + iA = io[gpower * osm]; + 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, ginv, cld1, cld2, omega, + buf, ro[0], io[0], ro, io, osm); + } + + X(ifree)(buf); +} + +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 * 2, TWIDDLES); + for (i = 0; i < m; ++i) { + for (gpower = 1, j = 0; j < r - 1; + ++j, gpower = MULMOD(gpower, g, r)) { + int k = i * (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->cld1, flg); + AWAKE(ego->cld2, flg); + + if (flg) { + if (!ego->omega) + ego->omega = + X(dft_rader_mkomega)(ego->cld_omega, ego->n, ego->ginv); + } else { + X(dft_rader_free_omega)(&ego->omega); + } +} + +static void awake_dit(plan *ego_, int flg) +{ + P_dit *ego = (P_dit *) ego_; + + AWAKE(ego->cld, flg); + if (flg) + ego->W = mktwiddle(ego->m, ego->super.n, ego->super.g); + else { + free_twiddle(ego->W); + ego->W = 0; + } + + awake(ego_, flg); +} + +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 destroy_dit(plan *ego_) +{ + P_dit *ego = (P_dit *) ego_; + X(plan_destroy_internal)(ego->cld); + destroy(ego_); +} + +static void print_aux(const char *name, const P *ego, printer *p) +{ + p->print(p, "(%s-%d%ois=%oos=%(%p%)", + name, 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); +} + +static void print(const plan *ego_, printer *p) +{ + print_aux("dft-rader", (const P *) ego_, p); + p->putchr(p, ')'); +} + +static void print_dit(const plan *ego_, printer *p) +{ + const P_dit *ego_dit = (const P_dit *) ego_; + + print_aux("dft-rader-dit", (const P *) ego_, p); + p->print(p, "%(%p%))", ego_dit->cld); +} + +static int applicable0(const solver *ego_, const problem *p_) +{ + UNUSED(ego_); + if (DFTP(p_)) { + const problem_dft *p = (const problem_dft *) p_; + return (1 + && p->sz->rnk == 1 + && p->vecsz->rnk == 0 + && X(is_prime)(p->sz->dims[0].n) + ); + } + + return 0; +} + +static int applicable0_dit(const solver *ego_, const problem *p_) +{ + UNUSED(ego_); + if (DFTP(p_)) { + const problem_dft *p = (const problem_dft *) p_; + return (1 + && p->sz->rnk == 1 + && p->vecsz->rnk == 0 + && p->sz->dims[0].n > 1 + ); + } + + return 0; +} + +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr) +{ + return (!NO_UGLYP(plnr) && applicable0(ego_, p_)); +} + +static int applicable_dit(const solver *ego_, const problem *p_, + const planner *plnr) +{ + return (!NO_UGLYP(plnr) && applicable0_dit(ego_, p_)); +} + +static int mkP(P *pln, int n, int is, int os, R *ro, R *io, + planner *plnr) +{ + plan *cld1 = (plan *) 0; + plan *cld2 = (plan *) 0; + plan *cld_omega = (plan *) 0; + R *buf = (R *) 0; + + /* initial allocation for the purpose of planning */ + buf = (R *) MALLOC(sizeof(R) * (n - 1) * 2, BUFFERS); + + cld1 = X(mkplan_d)(plnr, + X(mkproblem_dft_d)(X(mktensor_1d)(n - 1, 2, os), + X(mktensor_1d)(1, 0, 0), + buf, buf + 1, ro + os, io + os)); + if (!cld1) goto nada; + + cld2 = X(mkplan_d)(plnr, + X(mkproblem_dft_d)(X(mktensor_1d)(n - 1, os, 2), + X(mktensor_1d)(1, 0, 0), + ro + os, io + os, buf, buf + 1)); + + if (!cld2) goto nada; + + /* plan for omega array */ + plnr->planner_flags |= ESTIMATE; + cld_omega = X(mkplan_d)(plnr, + X(mkproblem_dft_d)(X(mktensor_1d)(n - 1, 2, 2), + X(mktensor_1d)(1, 0, 0), + buf, buf + 1, buf, buf + 1)); + if (!cld_omega) goto nada; + + /* deallocate buffers; let awake() or apply() allocate them for real */ + X(ifree)(buf); + buf = 0; + + 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 - 1) * (4 * 2 + 6) + 6; + pln->super.super.ops.add += (n - 1) * 2 + 4; + pln->super.super.ops.mul += (n - 1) * 4; + + return 1; + + nada: + X(ifree0)(buf); + X(plan_destroy_internal)(cld_omega); + X(plan_destroy_internal)(cld2); + X(plan_destroy_internal)(cld1); + return 0; +} + +static plan *mkplan(const solver *ego, const problem *p_, planner *plnr) +{ + const problem_dft *p = (const problem_dft *) p_; + P *pln; + int n; + int is, os; + + static const plan_adt padt = { + X(dft_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; + + pln = MKPLAN_DFT(P, &padt, apply); + if (!mkP(pln, n, is, os, p->ro, p->io, plnr)) { + X(ifree)(pln); + return (plan *) 0; + } + return &(pln->super.super); +} + +static plan *mkplan_dit(const solver *ego, const problem *p_, planner *plnr) +{ + const problem_dft *p = (const problem_dft *) p_; + P_dit *pln = 0; + int n, r, m; + int is, os; + plan *cld = (plan *) 0; + + static const plan_adt padt = { + X(dft_solve), awake_dit, print_dit, destroy_dit + }; + + if (!applicable_dit(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_dft_d)(X(mktensor_1d)(m, r * is, os), + X(mktensor_1d)(r, is, m * os), + p->ri, p->ii, p->ro, p->io)); + if (!cld) goto nada; + + pln = MKPLAN_DFT(P_dit, &padt, apply_dit); + if (!mkP(&pln->super, r, os*m, os*m, p->ro, p->io, plnr)) + goto nada; + + pln->os = os; + pln->m = m; + pln->cld = cld; + pln->W = 0; + + pln->super.super.super.ops.add += 2 * (r-1); + pln->super.super.super.ops.mul += 4 * (r-1); + X(ops_madd)(m, &pln->super.super.super.ops, &cld->ops, + &pln->super.super.super.ops); + + return &(pln->super.super.super); + + nada: + X(plan_destroy_internal)(cld); + X(ifree0)(pln); + return (plan *) 0; +} + +/* constructors */ + +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + return &(slv->super); +} + +static solver *mksolver_dit(void) +{ + static const solver_adt sadt = { mkplan_dit }; + S *slv = MKSOLVER(S, &sadt); + return &(slv->super); +} + +void X(dft_rader_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); + REGISTER_SOLVER(p, mksolver_dit()); +} diff --git a/src/fftw3/dft/rank-geq2.c b/src/fftw3/dft/rank-geq2.c new file mode 100644 index 0000000..81dffd9 --- /dev/null +++ b/src/fftw3/dft/rank-geq2.c @@ -0,0 +1,211 @@ +/* + * 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.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* plans for DFT of rank >= 2 (multidimensional) */ + +#include "dft.h" + +typedef struct { + solver super; + int spltrnk; + const int *buddies; + int nbuddies; +} S; + +typedef struct { + plan_dft super; + + plan *cld1, *cld2; + const S *solver; +} P; + +/* Compute multi-dimensional DFT by applying the two cld plans + (lower-rnk DFTs). */ +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + plan_dft *cld1, *cld2; + + cld1 = (plan_dft *) ego->cld1; + cld1->apply(ego->cld1, ri, ii, ro, io); + + cld2 = (plan_dft *) ego->cld2; + cld2->apply(ego->cld2, ro, io, ro, io); +} + + +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, "(dft-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 (DFTP(p_)) { + const problem_dft *p = (const problem_dft *) 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_; + const problem_dft *p = (const problem_dft *) p_; + + 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; + + /* 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 (NO_UGLYP(plnr)) + 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_dft *p; + P *pln; + plan *cld1 = 0, *cld2 = 0; + tensor *sz1, *sz2, *vecszi, *sz2i; + int spltrnk; + + static const plan_adt padt = { + X(dft_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr, &spltrnk)) + return (plan *) 0; + + p = (const problem_dft *) 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_dft_d)(X(tensor_copy)(sz2), + X(tensor_append)(p->vecsz, sz1), + p->ri, p->ii, p->ro, p->io)); + if (!cld1) goto nada; + + cld2 = X(mkplan_d)(plnr, + X(mkproblem_dft_d)( + X(tensor_copy_inplace)(sz1, INPLACE_OS), + X(tensor_append)(vecszi, sz2i), + p->ro, p->io, p->ro, p->io)); + if (!cld2) goto nada; + + pln = MKPLAN_DFT(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)(sz1, sz2, vecszi, sz2i); + + return &(pln->super.super); + + nada: + X(plan_destroy_internal)(cld2); + X(plan_destroy_internal)(cld1); + X(tensor_destroy4)(sz1, sz2, 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(dft_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? + + Another possible variant is to swap cld1 and cld2 (or rather, + to swap their problems; they are not interchangeable because + cld2 must be in-place). In past versions of FFTW, however, I + seem to recall that such rearrangements have made little or no + difference. + */ +} diff --git a/src/fftw3/dft/rank0.c b/src/fftw3/dft/rank0.c new file mode 100644 index 0000000..bef719f --- /dev/null +++ b/src/fftw3/dft/rank0.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: rank0.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* plans for rank-0 DFTs (copy operations) */ + +#include "dft.h" + +#ifdef HAVE_STRING_H +#include <string.h> /* for memcpy() */ +#endif + + +typedef struct { + dftapply apply; + int (*applicable)(const problem_dft *p); + const char *nam; +} rnk0adt; + +typedef struct { + solver super; + const rnk0adt *adt; +} S; + +typedef struct { + plan_dft super; + int vl; + int ivs, ovs; + const S *slv; +} P; + +/* generic applicability function */ +static int applicable(const solver *ego_, const problem *p_) +{ + if (DFTP(p_)) { + const S *ego = (const S *) ego_; + const problem_dft *p = (const problem_dft *) p_; + return (1 + && p->ri != p->ro + && p->sz->rnk == 0 + && ego->adt->applicable(p) + ); + } + return 0; +} + +/*-----------------------------------------------------------------------*/ +/* rank-0 dft, vl == 1: just a copy */ +static void apply_1(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + UNUSED(ego_); + *ro = *ri; + *io = *ii; +} + +static int applicable_1(const problem_dft *p) +{ + return (p->vecsz->rnk == 0); +} + +static const rnk0adt adt_cpy1 = +{ + apply_1, applicable_1, "dft-rank0-cpy1" +}; + +/*-----------------------------------------------------------------------*/ +/* rank-0 dft, vl > 1: just a copy loop (unroll 4) */ +static void apply_vec(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int i, vl = ego->vl; + int ivs = ego->ivs, ovs = ego->ovs; + int imi = ii - ri, imo = io - ro; + for (i = vl; i > 0; --i) { + R r0 = ri[0], i0 = ri[imi]; + ro[0] = r0; ro[imo] = i0; + ri += ivs; ro += ovs; + } +} + +static int applicable_vec(const problem_dft *p) +{ + return (p->vecsz->rnk == 1 && p->ro != p->ri); +} + +static const rnk0adt adt_vec = +{ + apply_vec, applicable_vec, "dft-rank0-vec" +}; + +/*-----------------------------------------------------------------------*/ +/* rank-0 dft, vl > 1, [io]vs == 1, using memcpy */ +static void apply_io1(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int vl = ego->vl; + memcpy(ro, ri, vl * sizeof(R)); + memcpy(io, ii, vl * sizeof(R)); +} + +static int applicable_io1(const problem_dft *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, "dft-rank0-io1-memcpy" +}; + +/*-----------------------------------------------------------------------*/ +/* rank-0 dft, vl > 1, [io]vs == 2 (interleaved) using memcpy */ +static void apply_io2r(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int vl = ego->vl; + UNUSED(ii); + UNUSED(io); /* i{in,out}put == r{in,out}put + 1 */ + memcpy(ro, ri, vl * sizeof(R) * 2); +} + +static int applicable_io2r(const problem_dft *p) +{ + return (1 + && applicable_vec(p) + && p->vecsz->dims[0].is == 2 + && p->vecsz->dims[0].os == 2 + && p->ii == p->ri + 1 && p->io == p->ro + 1 + ); +} + +static const rnk0adt adt_io2r = +{ + apply_io2r, applicable_io2r, "dft-rank0-io2r-memcpy" +}; + +static void apply_io2i(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int vl = ego->vl; + UNUSED(ri); + UNUSED(ro); /* r{in,out}put == i{in,out}put + 1 */ + memcpy(io, ii, vl * sizeof(R) * 2); +} + +static int applicable_io2i(const problem_dft *p) +{ + return (1 + && applicable_vec(p) + && p->vecsz->dims[0].is == 2 + && p->vecsz->dims[0].os == 2 + && p->ri == p->ii + 1 && p->ro == p->io + 1 + ); +} + +static const rnk0adt adt_io2i = +{ + apply_io2i, applicable_io2i, "dft-rank0-io2i-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_dft *p; + P *pln; + + static const plan_adt padt = { + X(dft_solve), X(null_awake), print, X(plan_null_destroy) + }; + + UNUSED(plnr); + + if (!applicable(ego_, p_)) + return (plan *) 0; + + p = (const problem_dft *) p_; + pln = MKPLAN_DFT(P, &padt, ego->adt->apply); + + X(tensor_tornk1)(p->vecsz, &pln->vl, &pln->ivs, &pln->ovs); + pln->slv = ego; + + /* 2*vl loads, 2*vl stores */ + X(ops_other)(4 * 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(dft_rank0_register)(planner *p) +{ + unsigned i; + static const rnk0adt *const adts[] = { + &adt_cpy1, &adt_vec, &adt_io1, &adt_io2r, &adt_io2i + }; + + for (i = 0; i < sizeof(adts) / sizeof(adts[0]); ++i) + REGISTER_SOLVER(p, mksolver(adts[i])); +} diff --git a/src/fftw3/dft/solve.c b/src/fftw3/dft/solve.c new file mode 100644 index 0000000..abcad7f --- /dev/null +++ b/src/fftw3/dft/solve.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: solve.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" + +/* use the apply() operation for DFT problems */ +void X(dft_solve)(const plan *ego_, const problem *p_) +{ + const plan_dft *ego = (const plan_dft *) ego_; + const problem_dft *p = (const problem_dft *) p_; + ego->apply(ego_, + UNTAINT(p->ri), UNTAINT(p->ii), + UNTAINT(p->ro), UNTAINT(p->io)); +} diff --git a/src/fftw3/dft/vrank-geq1.c b/src/fftw3/dft/vrank-geq1.c new file mode 100644 index 0000000..92a5776 --- /dev/null +++ b/src/fftw3/dft/vrank-geq1.c @@ -0,0 +1,215 @@ +/* + * 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.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + + +/* Plans for handling vector transform loops. These are *just* the + loops, and rely on child plans for the actual DFTs. + + 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 "dft.h" + +typedef struct { + solver super; + int vecloop_dim; + const int *buddies; + int nbuddies; +} S; + +typedef struct { + plan_dft super; + + plan *cld; + int vl; + int ivs, ovs; + const S *solver; +} P; + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int i, vl = ego->vl; + int ivs = ego->ivs, ovs = ego->ovs; + dftapply cldapply = ((plan_dft *) ego->cld)->apply; + + for (i = 0; i < vl; ++i) { + cldapply(ego->cld, + ri + i * ivs, ii + i * ivs, ro + i * ovs, io + 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, "(dft-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 (DFTP(p_)) { + const S *ego = (const S *) ego_; + const problem_dft *p = (const problem_dft *) p_; + + return (1 + && FINITE_RNK(p->vecsz->rnk) + && p->vecsz->rnk > 0 + && pickdim(ego, p->vecsz, p->ri != p->ro, 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_dft *p; + + if (!applicable0(ego_, p_, dp)) return 0; + + /* fftw2 behavior */ + if (NO_VRANK_SPLITSP(plnr) && (ego->vecloop_dim != ego->buddies[0])) + return 0; + + p = (const problem_dft *) p_; + + if (NO_UGLYP(plnr)) { + /* 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; + + 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_dft *p; + P *pln; + plan *cld; + int vdim; + iodim *d; + + static const plan_adt padt = { + X(dft_solve), awake, print, destroy + }; + + if (!applicable(ego_, p_, plnr, &vdim)) + return (plan *) 0; + p = (const problem_dft *) p_; + + d = p->vecsz->dims + vdim; + + A(d->n > 1); + cld = X(mkplan_d)(plnr, + X(mkproblem_dft_d)( + X(tensor_copy)(p->sz), + X(tensor_copy_except)(p->vecsz, vdim), + TAINT(p->ri, d->is), TAINT(p->ii, d->is), + TAINT(p->ro, d->os), TAINT(p->io, d->os))); + if (!cld) return (plan *) 0; + + pln = MKPLAN_DFT(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(dft_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/dft/vrank2-transpose.c b/src/fftw3/dft/vrank2-transpose.c new file mode 100644 index 0000000..ebed1ff --- /dev/null +++ b/src/fftw3/dft/vrank2-transpose.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 + * + */ + +/* $Id: vrank2-transpose.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* rank-0, vector-rank-2, square transposition */ + +#include "dft.h" + +/* transposition routine. TODO: optimize? */ +static void t(R *rA, R *iA, int n, int is, int js) +{ + int i, j; + int im = iA - rA; + + for (i = 1; i < n; ++i) { + R *p0 = rA + i * is; + R *p1 = rA + i * js; + for (j = 0; j < i; ++j) { + R ar = p0[0], ai = p0[im]; + R br = p1[0], bi = p1[im]; + p1[0] = ar; p1[im] = ai; p1 += is; + p0[0] = br; p0[im] = bi; p0 += js; + } + } +} + +typedef solver S; + +typedef struct { + plan_dft super; + int n; + int s0, s1; + int m; + int offset; + int nd, md, d; /* d = gcd(n,m), nd = n / d, md = m / d */ +} P; + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + UNUSED(ro); + UNUSED(io); + A(ego->n == ego->m); + t(ri, ii, ego->n, ego->s0, ego->s1); +} + +static void apply_general(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int nd = ego->nd, md = ego->md, d = ego->d; + R *buf = (R *)MALLOC((sizeof(R) * 2) * nd * md * d, BUFFERS); + + UNUSED(ii); UNUSED(ro); UNUSED(io); + X(transpose)(ri + ego->offset, nd, md, d, 2, buf); + X(ifree)(buf); +} + +static void apply_slow(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int n = ego->n, m = ego->m; + R buf[4]; + int move_size = (n + m) / 2; + char *move; + + UNUSED(ii); UNUSED(ro); UNUSED(io); + STACK_MALLOC(char *, move, move_size); + X(transpose_slow)(ri + ego->offset, n, m, 2, move, move_size, buf); + STACK_FREE(move); +} + +static int applicable(const problem *p_, const planner *plnr) +{ + if (DFTP(p_)) { + const problem_dft *p = (const problem_dft *)p_; + const iodim *d = p->vecsz->dims; + return (1 + && p->ri == p->ro + && p->sz->rnk == 0 + && p->vecsz->rnk == 2 + && X(transposable)(d, d+1, 1, X(imin)(d[0].is,d[0].os), + p->ri, p->ii) + && (!NO_UGLYP(plnr) || d[0].n == d[1].n) + ); + } + return 0; +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + p->print(p, "(dft-transpose-%dx%d)", ego->n, ego->m); +} + +static plan *mkplan(const solver *ego, const problem *p_, planner *plnr) +{ + const problem_dft *p; + P *pln; + const iodim *d; + + static const plan_adt padt = { + X(dft_solve), X(null_awake), print, X(plan_null_destroy) + }; + + UNUSED(ego); + + if (!applicable(p_, plnr)) + return (plan *) 0; + p = (const problem_dft *) p_; + + d = p->vecsz->dims; + pln = MKPLAN_DFT(P, &padt, + X(transpose_simplep)(d, d+1, 1, X(imin)(d[0].is,d[0].os), + p->ri, p->ii) ? apply : + (X(transpose_slowp)(d, d+1, 2) ? apply_slow : + apply_general)); + X(transpose_dims)(d, d+1, &pln->n, &pln->m, &pln->d, &pln->nd, &pln->md); + pln->offset = (p->ri - p->ii == 1) ? -1 : 0; + pln->s0 = d[0].is; + pln->s1 = d[0].os; + + /* (4 loads + 4 stores) * (pln->n \choose 2) + (FIXME? underestimate for non-square) */ + X(ops_other)(4 * pln->n * (pln->m - 1), &pln->super.super.ops); + return &(pln->super.super); +} + +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + return MKSOLVER(S, &sadt); +} + +void X(dft_vrank2_transpose_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/dft/vrank3-transpose.c b/src/fftw3/dft/vrank3-transpose.c new file mode 100644 index 0000000..3e2157a --- /dev/null +++ b/src/fftw3/dft/vrank3-transpose.c @@ -0,0 +1,207 @@ +/* + * 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: vrank3-transpose.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +/* rank-0, vector-rank-3, square transposition */ + +#include "dft.h" + +/* transposition routine. TODO: optimize? */ +static void t(R *rA, R *iA, int n, int is, int js, int vn, int vs) +{ + int i, j, iv; + int im = iA - rA; + + for (i = 1; i < n; ++i) { + for (j = 0; j < i; ++j) { + R *p0 = rA + i * is + j * js; + R *p1 = rA + j * is + i * js; + for (iv = 0; iv < vn; ++iv) { + R ar = p0[0], ai = p0[im]; + R br = p1[0], bi = p1[im]; + p1[0] = ar; p1[im] = ai; p1 += vs; + p0[0] = br; p0[im] = bi; p0 += vs; + } + } + } +} + +typedef solver S; + +typedef struct { + plan_dft super; + int n, vl; + int s0, s1, vs; + int m; + int offset; + int nd, md, d; /* d = gcd(n,m), nd = n / d, md = m / d */ +} P; + +static void apply(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + UNUSED(ro); + UNUSED(io); + A(ego->n == ego->m); + t(ri, ii, ego->n, ego->s0, ego->s1, ego->vl, ego->vs); +} + +static void apply_general(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int nd = ego->nd, md = ego->md, d = ego->d, vl = ego->vl; + R *buf = (R *)MALLOC((sizeof(R) * 2) * vl * nd * md * d, BUFFERS); + + UNUSED(ii); UNUSED(ro); UNUSED(io); + X(transpose)(ri + ego->offset, nd, md, d, 2*vl, buf); + X(ifree)(buf); +} + +static void apply_slow(const plan *ego_, R *ri, R *ii, R *ro, R *io) +{ + const P *ego = (const P *) ego_; + int n = ego->n, m = ego->m, vl = ego->vl; + R *buf = (R *)MALLOC((sizeof(R) * 4) * vl, BUFFERS); + int move_size = (n + m) / 2; + char *move; + + UNUSED(ii); UNUSED(ro); UNUSED(io); + STACK_MALLOC(char *, move, move_size); + X(transpose_slow)(ri + ego->offset, n, m, 2*vl, move, move_size, buf); + STACK_FREE(move); + X(ifree)(buf); +} + +static int pickdim(const tensor *s, int *pdim0, int *pdim1, int *pdim2, + R *ri, R *ii) +{ + int dim0, dim1; + + for (dim0 = 0; dim0 < s->rnk; ++dim0) + for (dim1 = dim0 + 1; dim1 < s->rnk; ++dim1) { + int dim2 = 3 - dim0 - dim1; + if (s->dims[dim2].is == s->dims[dim2].os + && X(transposable)(s->dims + dim0, s->dims + dim1, + s->dims[dim2].n, s->dims[dim2].is, + ri, ii)) { + *pdim0 = dim0; + *pdim1 = dim1; + *pdim2 = dim2; + return 1; + } + } + return 0; +} + +static int applicable0(const problem *p_, int *dim0, int *dim1, int *dim2) +{ + if (DFTP(p_)) { + const problem_dft *p = (const problem_dft *)p_; + return (1 + && p->ri == p->ro + && p->sz->rnk == 0 + && p->vecsz->rnk == 3 + && pickdim(p->vecsz, dim0, dim1, dim2, p->ri, p->ii) + ); + } + return 0; +} + +static int applicable(const problem *p_, const planner *plnr, + int *dim0, int *dim1, int *dim2) +{ + const problem_dft *p; + + if (!applicable0(p_, dim0, dim1, dim2)) + return 0; + + p = (const problem_dft *) p_; + + if (NO_UGLYP(plnr)) + if (p->vecsz->dims[*dim2].is > X(imax)(p->vecsz->dims[*dim0].is, + p->vecsz->dims[*dim0].os)) + /* loops are in the wrong order for locality */ + return 0; + + if (NO_UGLYP(plnr) && p->vecsz->dims[*dim0].n != p->vecsz->dims[*dim1].n) + return 0; + + return 1; +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + p->print(p, "(dft-transpose-%dx%d%v)", ego->n, ego->m, ego->vl); +} + +static plan *mkplan(const solver *ego, const problem *p_, planner *plnr) +{ + const problem_dft *p; + P *pln; + const iodim *d; + int dim0, dim1, dim2; + int vl; + + static const plan_adt padt = { + X(dft_solve), X(null_awake), print, X(plan_null_destroy) + }; + + UNUSED(plnr); + UNUSED(ego); + + if (!applicable(p_, plnr, &dim0, &dim1, &dim2)) + return (plan *) 0; + p = (const problem_dft *) p_; + + d = p->vecsz->dims; + vl = d[dim2].n; + pln = MKPLAN_DFT(P, &padt, + X(transpose_simplep)(d+dim0, d+dim1, + vl, p->vecsz->dims[dim2].is, + p->ri, p->ii) ? apply : + (X(transpose_slowp)(d+dim0, d+dim1, 2*vl) ? apply_slow + : apply_general)); + X(transpose_dims)(d+dim0, d+dim1, + &pln->n, &pln->m, &pln->d, &pln->nd, &pln->md); + pln->offset = (p->ri - p->ii == 1) ? -1 : 0; + pln->s0 = d[dim0].is; + pln->s1 = d[dim0].os; + pln->vl = vl; + pln->vs = d[dim2].is; /* == os */ + + /* pln->vl * (4 loads + 4 stores) * (pln->n \choose 2) + (FIXME? underestimate for non-square) */ + X(ops_other)(4 * pln->vl * pln->n * (pln->m - 1), &pln->super.super.ops); + + return &(pln->super.super); +} + +static solver *mksolver(void) +{ + static const solver_adt sadt = { mkplan }; + return MKSOLVER(S, &sadt); +} + +void X(dft_vrank3_transpose_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver()); +} diff --git a/src/fftw3/dft/zero.c b/src/fftw3/dft/zero.c new file mode 100644 index 0000000..df34e0e --- /dev/null +++ b/src/fftw3/dft/zero.c @@ -0,0 +1,51 @@ +/* + * 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: zero.c,v 1.1 2008/10/17 06:11:08 scuri Exp $ */ + +#include "dft.h" + +/* fill a complex array with zeros. */ +static void recur(const iodim *dims, int rnk, R *ri, R *ii) +{ + if (rnk == RNK_MINFTY) + return; + else if (rnk == 0) + ri[0] = ii[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) + ri[i * is] = ii[i * is] = K(0.0); + } else { + for (i = 0; i < n; ++i) + recur(dims + 1, rnk - 1, ri + i * is, ii + i * is); + } + } +} + + +void X(dft_zerotens)(tensor *sz, R *ri, R *ii) +{ + recur(sz->dims, sz->rnk, ri, ii); +} |