/src/fftw3/rdft/ct-hc2c-direct.c
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1 | | /* |
2 | | * Copyright (c) 2003, 2007-14 Matteo Frigo |
3 | | * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology |
4 | | * |
5 | | * This program is free software; you can redistribute it and/or modify |
6 | | * it under the terms of the GNU General Public License as published by |
7 | | * the Free Software Foundation; either version 2 of the License, or |
8 | | * (at your option) any later version. |
9 | | * |
10 | | * This program is distributed in the hope that it will be useful, |
11 | | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
12 | | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
13 | | * GNU General Public License for more details. |
14 | | * |
15 | | * You should have received a copy of the GNU General Public License |
16 | | * along with this program; if not, write to the Free Software |
17 | | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
18 | | * |
19 | | */ |
20 | | |
21 | | |
22 | | #include "ct-hc2c.h" |
23 | | |
24 | | typedef struct { |
25 | | hc2c_solver super; |
26 | | const hc2c_desc *desc; |
27 | | int bufferedp; |
28 | | khc2c k; |
29 | | } S; |
30 | | |
31 | | typedef struct { |
32 | | plan_hc2c super; |
33 | | khc2c k; |
34 | | plan *cld0, *cldm; /* children for 0th and middle butterflies */ |
35 | | INT r, m, v, extra_iter; |
36 | | INT ms, vs; |
37 | | stride rs, brs; |
38 | | twid *td; |
39 | | const S *slv; |
40 | | } P; |
41 | | |
42 | | /************************************************************* |
43 | | Nonbuffered code |
44 | | *************************************************************/ |
45 | | static void apply(const plan *ego_, R *cr, R *ci) |
46 | 0 | { |
47 | 0 | const P *ego = (const P *) ego_; |
48 | 0 | plan_rdft2 *cld0 = (plan_rdft2 *) ego->cld0; |
49 | 0 | plan_rdft2 *cldm = (plan_rdft2 *) ego->cldm; |
50 | 0 | INT i, m = ego->m, v = ego->v; |
51 | 0 | INT ms = ego->ms, vs = ego->vs; |
52 | |
|
53 | 0 | for (i = 0; i < v; ++i, cr += vs, ci += vs) { |
54 | 0 | cld0->apply((plan *) cld0, cr, ci, cr, ci); |
55 | 0 | ego->k(cr + ms, ci + ms, cr + (m-1)*ms, ci + (m-1)*ms, |
56 | 0 | ego->td->W, ego->rs, 1, (m+1)/2, ms); |
57 | 0 | cldm->apply((plan *) cldm, cr + (m/2)*ms, ci + (m/2)*ms, |
58 | 0 | cr + (m/2)*ms, ci + (m/2)*ms); |
59 | 0 | } |
60 | 0 | } |
61 | | |
62 | | static void apply_extra_iter(const plan *ego_, R *cr, R *ci) |
63 | 0 | { |
64 | 0 | const P *ego = (const P *) ego_; |
65 | 0 | plan_rdft2 *cld0 = (plan_rdft2 *) ego->cld0; |
66 | 0 | plan_rdft2 *cldm = (plan_rdft2 *) ego->cldm; |
67 | 0 | INT i, m = ego->m, v = ego->v; |
68 | 0 | INT ms = ego->ms, vs = ego->vs; |
69 | 0 | INT mm = (m-1)/2; |
70 | |
|
71 | 0 | for (i = 0; i < v; ++i, cr += vs, ci += vs) { |
72 | 0 | cld0->apply((plan *) cld0, cr, ci, cr, ci); |
73 | | |
74 | | /* for 4-way SIMD when (m+1)/2-1 is odd: iterate over an |
75 | | even vector length MM-1, and then execute the last |
76 | | iteration as a 2-vector with vector stride 0. The |
77 | | twiddle factors of the second half of the last iteration |
78 | | are bogus, but we only store the results of the first |
79 | | half. */ |
80 | 0 | ego->k(cr + ms, ci + ms, cr + (m-1)*ms, ci + (m-1)*ms, |
81 | 0 | ego->td->W, ego->rs, 1, mm, ms); |
82 | 0 | ego->k(cr + mm*ms, ci + mm*ms, cr + (m-mm)*ms, ci + (m-mm)*ms, |
83 | 0 | ego->td->W, ego->rs, mm, mm+2, 0); |
84 | 0 | cldm->apply((plan *) cldm, cr + (m/2)*ms, ci + (m/2)*ms, |
85 | 0 | cr + (m/2)*ms, ci + (m/2)*ms); |
86 | 0 | } |
87 | |
|
88 | 0 | } |
89 | | |
90 | | /************************************************************* |
91 | | Buffered code |
92 | | *************************************************************/ |
93 | | |
94 | | /* should not be 2^k to avoid associativity conflicts */ |
95 | | static INT compute_batchsize(INT radix) |
96 | 0 | { |
97 | | /* round up to multiple of 4 */ |
98 | 0 | radix += 3; |
99 | 0 | radix &= -4; |
100 | |
|
101 | 0 | return (radix + 2); |
102 | 0 | } |
103 | | |
104 | | static void dobatch(const P *ego, R *Rp, R *Ip, R *Rm, R *Im, |
105 | | INT mb, INT me, INT extra_iter, R *bufp) |
106 | 0 | { |
107 | 0 | INT b = WS(ego->brs, 1); |
108 | 0 | INT rs = WS(ego->rs, 1); |
109 | 0 | INT ms = ego->ms; |
110 | 0 | R *bufm = bufp + b - 2; |
111 | 0 | INT n = me - mb; |
112 | |
|
113 | 0 | X(cpy2d_pair_ci)(Rp + mb * ms, Ip + mb * ms, bufp, bufp + 1, |
114 | 0 | ego->r / 2, rs, b, |
115 | 0 | n, ms, 2); |
116 | 0 | X(cpy2d_pair_ci)(Rm - mb * ms, Im - mb * ms, bufm, bufm + 1, |
117 | 0 | ego->r / 2, rs, b, |
118 | 0 | n, -ms, -2); |
119 | |
|
120 | 0 | if (extra_iter) { |
121 | | /* initialize the extra_iter element to 0. It would be ok |
122 | | to leave it uninitialized, since we transform uninitialized |
123 | | data and ignore the result. However, we want to avoid |
124 | | FP exceptions in case somebody is trapping them. */ |
125 | 0 | A(n < compute_batchsize(ego->r)); |
126 | 0 | X(zero1d_pair)(bufp + 2*n, bufp + 1 + 2*n, ego->r / 2, b); |
127 | 0 | X(zero1d_pair)(bufm - 2*n, bufm + 1 - 2*n, ego->r / 2, b); |
128 | 0 | } |
129 | |
|
130 | 0 | ego->k(bufp, bufp + 1, bufm, bufm + 1, ego->td->W, |
131 | 0 | ego->brs, mb, me + extra_iter, 2); |
132 | 0 | X(cpy2d_pair_co)(bufp, bufp + 1, Rp + mb * ms, Ip + mb * ms, |
133 | 0 | ego->r / 2, b, rs, |
134 | 0 | n, 2, ms); |
135 | 0 | X(cpy2d_pair_co)(bufm, bufm + 1, Rm - mb * ms, Im - mb * ms, |
136 | 0 | ego->r / 2, b, rs, |
137 | 0 | n, -2, -ms); |
138 | 0 | } |
139 | | |
140 | | static void apply_buf(const plan *ego_, R *cr, R *ci) |
141 | 0 | { |
142 | 0 | const P *ego = (const P *) ego_; |
143 | 0 | plan_rdft2 *cld0 = (plan_rdft2 *) ego->cld0; |
144 | 0 | plan_rdft2 *cldm = (plan_rdft2 *) ego->cldm; |
145 | 0 | INT i, j, ms = ego->ms, v = ego->v; |
146 | 0 | INT batchsz = compute_batchsize(ego->r); |
147 | 0 | R *buf; |
148 | 0 | INT mb = 1, me = (ego->m+1) / 2; |
149 | 0 | size_t bufsz = ego->r * batchsz * 2 * sizeof(R); |
150 | |
|
151 | 0 | BUF_ALLOC(R *, buf, bufsz); |
152 | |
|
153 | 0 | for (i = 0; i < v; ++i, cr += ego->vs, ci += ego->vs) { |
154 | 0 | R *Rp = cr; |
155 | 0 | R *Ip = ci; |
156 | 0 | R *Rm = cr + ego->m * ms; |
157 | 0 | R *Im = ci + ego->m * ms; |
158 | |
|
159 | 0 | cld0->apply((plan *) cld0, Rp, Ip, Rp, Ip); |
160 | |
|
161 | 0 | for (j = mb; j + batchsz < me; j += batchsz) |
162 | 0 | dobatch(ego, Rp, Ip, Rm, Im, j, j + batchsz, 0, buf); |
163 | |
|
164 | 0 | dobatch(ego, Rp, Ip, Rm, Im, j, me, ego->extra_iter, buf); |
165 | |
|
166 | 0 | cldm->apply((plan *) cldm, |
167 | 0 | Rp + me * ms, Ip + me * ms, |
168 | 0 | Rp + me * ms, Ip + me * ms); |
169 | |
|
170 | 0 | } |
171 | |
|
172 | 0 | BUF_FREE(buf, bufsz); |
173 | 0 | } |
174 | | |
175 | | /************************************************************* |
176 | | common code |
177 | | *************************************************************/ |
178 | | static void awake(plan *ego_, enum wakefulness wakefulness) |
179 | 0 | { |
180 | 0 | P *ego = (P *) ego_; |
181 | |
|
182 | 0 | X(plan_awake)(ego->cld0, wakefulness); |
183 | 0 | X(plan_awake)(ego->cldm, wakefulness); |
184 | 0 | X(twiddle_awake)(wakefulness, &ego->td, ego->slv->desc->tw, |
185 | 0 | ego->r * ego->m, ego->r, |
186 | 0 | (ego->m - 1) / 2 + ego->extra_iter); |
187 | 0 | } |
188 | | |
189 | | static void destroy(plan *ego_) |
190 | 0 | { |
191 | 0 | P *ego = (P *) ego_; |
192 | 0 | X(plan_destroy_internal)(ego->cld0); |
193 | 0 | X(plan_destroy_internal)(ego->cldm); |
194 | 0 | X(stride_destroy)(ego->rs); |
195 | 0 | X(stride_destroy)(ego->brs); |
196 | 0 | } |
197 | | |
198 | | static void print(const plan *ego_, printer *p) |
199 | 0 | { |
200 | 0 | const P *ego = (const P *) ego_; |
201 | 0 | const S *slv = ego->slv; |
202 | 0 | const hc2c_desc *e = slv->desc; |
203 | |
|
204 | 0 | if (slv->bufferedp) |
205 | 0 | p->print(p, "(hc2c-directbuf/%D-%D/%D/%D%v \"%s\"%(%p%)%(%p%))", |
206 | 0 | compute_batchsize(ego->r), |
207 | 0 | ego->r, X(twiddle_length)(ego->r, e->tw), |
208 | 0 | ego->extra_iter, ego->v, e->nam, |
209 | 0 | ego->cld0, ego->cldm); |
210 | 0 | else |
211 | 0 | p->print(p, "(hc2c-direct-%D/%D/%D%v \"%s\"%(%p%)%(%p%))", |
212 | 0 | ego->r, X(twiddle_length)(ego->r, e->tw), |
213 | 0 | ego->extra_iter, ego->v, e->nam, |
214 | 0 | ego->cld0, ego->cldm); |
215 | 0 | } |
216 | | |
217 | | static int applicable0(const S *ego, rdft_kind kind, |
218 | | INT r, INT rs, |
219 | | INT m, INT ms, |
220 | | INT v, INT vs, |
221 | | const R *cr, const R *ci, |
222 | | const planner *plnr, |
223 | | INT *extra_iter) |
224 | 0 | { |
225 | 0 | const hc2c_desc *e = ego->desc; |
226 | 0 | UNUSED(v); |
227 | |
|
228 | 0 | return ( |
229 | 0 | 1 |
230 | 0 | && r == e->radix |
231 | 0 | && kind == e->genus->kind |
232 | | |
233 | | /* first v-loop iteration */ |
234 | 0 | && ((*extra_iter = 0, |
235 | 0 | e->genus->okp(cr + ms, ci + ms, cr + (m-1)*ms, ci + (m-1)*ms, |
236 | 0 | rs, 1, (m+1)/2, ms, plnr)) |
237 | 0 | || |
238 | 0 | (*extra_iter = 1, |
239 | 0 | ((e->genus->okp(cr + ms, ci + ms, cr + (m-1)*ms, ci + (m-1)*ms, |
240 | 0 | rs, 1, (m-1)/2, ms, plnr)) |
241 | 0 | && |
242 | 0 | (e->genus->okp(cr + ms, ci + ms, cr + (m-1)*ms, ci + (m-1)*ms, |
243 | 0 | rs, (m-1)/2, (m-1)/2 + 2, 0, plnr))))) |
244 | | |
245 | | /* subsequent v-loop iterations */ |
246 | 0 | && (cr += vs, ci += vs, 1) |
247 | | |
248 | 0 | && e->genus->okp(cr + ms, ci + ms, cr + (m-1)*ms, ci + (m-1)*ms, |
249 | 0 | rs, 1, (m+1)/2 - *extra_iter, ms, plnr) |
250 | 0 | ); |
251 | 0 | } |
252 | | |
253 | | static int applicable0_buf(const S *ego, rdft_kind kind, |
254 | | INT r, INT rs, |
255 | | INT m, INT ms, |
256 | | INT v, INT vs, |
257 | | const R *cr, const R *ci, |
258 | | const planner *plnr, INT *extra_iter) |
259 | 0 | { |
260 | 0 | const hc2c_desc *e = ego->desc; |
261 | 0 | INT batchsz, brs; |
262 | 0 | UNUSED(v); UNUSED(rs); UNUSED(ms); UNUSED(vs); |
263 | |
|
264 | 0 | return ( |
265 | 0 | 1 |
266 | 0 | && r == e->radix |
267 | 0 | && kind == e->genus->kind |
268 | | |
269 | | /* ignore cr, ci, use buffer */ |
270 | 0 | && (cr = (const R *)0, ci = cr + 1, |
271 | 0 | batchsz = compute_batchsize(r), |
272 | 0 | brs = 4 * batchsz, 1) |
273 | | |
274 | 0 | && e->genus->okp(cr, ci, cr + brs - 2, ci + brs - 2, |
275 | 0 | brs, 1, 1+batchsz, 2, plnr) |
276 | | |
277 | 0 | && ((*extra_iter = 0, |
278 | 0 | e->genus->okp(cr, ci, cr + brs - 2, ci + brs - 2, |
279 | 0 | brs, 1, 1 + (((m-1)/2) % batchsz), 2, plnr)) |
280 | 0 | || |
281 | 0 | (*extra_iter = 1, |
282 | 0 | e->genus->okp(cr, ci, cr + brs - 2, ci + brs - 2, |
283 | 0 | brs, 1, 1 + 1 + (((m-1)/2) % batchsz), 2, plnr))) |
284 | | |
285 | 0 | ); |
286 | 0 | } |
287 | | |
288 | | static int applicable(const S *ego, rdft_kind kind, |
289 | | INT r, INT rs, |
290 | | INT m, INT ms, |
291 | | INT v, INT vs, |
292 | | R *cr, R *ci, |
293 | | const planner *plnr, INT *extra_iter) |
294 | 0 | { |
295 | 0 | if (ego->bufferedp) { |
296 | 0 | if (!applicable0_buf(ego, kind, r, rs, m, ms, v, vs, cr, ci, plnr, |
297 | 0 | extra_iter)) |
298 | 0 | return 0; |
299 | 0 | } else { |
300 | 0 | if (!applicable0(ego, kind, r, rs, m, ms, v, vs, cr, ci, plnr, |
301 | 0 | extra_iter)) |
302 | 0 | return 0; |
303 | 0 | } |
304 | | |
305 | 0 | if (NO_UGLYP(plnr) && X(ct_uglyp)((ego->bufferedp? (INT)512 : (INT)16), |
306 | 0 | v, m * r, r)) |
307 | 0 | return 0; |
308 | | |
309 | 0 | return 1; |
310 | 0 | } |
311 | | |
312 | | static plan *mkcldw(const hc2c_solver *ego_, rdft_kind kind, |
313 | | INT r, INT rs, |
314 | | INT m, INT ms, |
315 | | INT v, INT vs, |
316 | | R *cr, R *ci, |
317 | | planner *plnr) |
318 | 0 | { |
319 | 0 | const S *ego = (const S *) ego_; |
320 | 0 | P *pln; |
321 | 0 | const hc2c_desc *e = ego->desc; |
322 | 0 | plan *cld0 = 0, *cldm = 0; |
323 | 0 | INT imid = (m / 2) * ms; |
324 | 0 | INT extra_iter; |
325 | |
|
326 | 0 | static const plan_adt padt = { |
327 | 0 | 0, awake, print, destroy |
328 | 0 | }; |
329 | |
|
330 | 0 | if (!applicable(ego, kind, r, rs, m, ms, v, vs, cr, ci, plnr, |
331 | 0 | &extra_iter)) |
332 | 0 | return (plan *)0; |
333 | | |
334 | 0 | cld0 = X(mkplan_d)( |
335 | 0 | plnr, |
336 | 0 | X(mkproblem_rdft2_d)(X(mktensor_1d)(r, rs, rs), |
337 | 0 | X(mktensor_0d)(), |
338 | 0 | TAINT(cr, vs), TAINT(ci, vs), |
339 | 0 | TAINT(cr, vs), TAINT(ci, vs), |
340 | 0 | kind)); |
341 | 0 | if (!cld0) goto nada; |
342 | | |
343 | 0 | cldm = X(mkplan_d)( |
344 | 0 | plnr, |
345 | 0 | X(mkproblem_rdft2_d)(((m % 2) ? |
346 | 0 | X(mktensor_0d)() : X(mktensor_1d)(r, rs, rs) ), |
347 | 0 | X(mktensor_0d)(), |
348 | 0 | TAINT(cr + imid, vs), TAINT(ci + imid, vs), |
349 | 0 | TAINT(cr + imid, vs), TAINT(ci + imid, vs), |
350 | 0 | kind == R2HC ? R2HCII : HC2RIII)); |
351 | 0 | if (!cldm) goto nada; |
352 | | |
353 | 0 | if (ego->bufferedp) |
354 | 0 | pln = MKPLAN_HC2C(P, &padt, apply_buf); |
355 | 0 | else |
356 | 0 | pln = MKPLAN_HC2C(P, &padt, extra_iter ? apply_extra_iter : apply); |
357 | |
|
358 | 0 | pln->k = ego->k; |
359 | 0 | pln->td = 0; |
360 | 0 | pln->r = r; pln->rs = X(mkstride)(r, rs); |
361 | 0 | pln->m = m; pln->ms = ms; |
362 | 0 | pln->v = v; pln->vs = vs; |
363 | 0 | pln->slv = ego; |
364 | 0 | pln->brs = X(mkstride)(r, 4 * compute_batchsize(r)); |
365 | 0 | pln->cld0 = cld0; |
366 | 0 | pln->cldm = cldm; |
367 | 0 | pln->extra_iter = extra_iter; |
368 | |
|
369 | 0 | X(ops_zero)(&pln->super.super.ops); |
370 | 0 | X(ops_madd2)(v * (((m - 1) / 2) / e->genus->vl), |
371 | 0 | &e->ops, &pln->super.super.ops); |
372 | 0 | X(ops_madd2)(v, &cld0->ops, &pln->super.super.ops); |
373 | 0 | X(ops_madd2)(v, &cldm->ops, &pln->super.super.ops); |
374 | |
|
375 | 0 | if (ego->bufferedp) |
376 | 0 | pln->super.super.ops.other += 4 * r * m * v; |
377 | |
|
378 | 0 | return &(pln->super.super); |
379 | | |
380 | 0 | nada: |
381 | 0 | X(plan_destroy_internal)(cld0); |
382 | 0 | X(plan_destroy_internal)(cldm); |
383 | 0 | return 0; |
384 | 0 | } |
385 | | |
386 | | static void regone(planner *plnr, khc2c codelet, |
387 | | const hc2c_desc *desc, |
388 | | hc2c_kind hc2ckind, |
389 | | int bufferedp) |
390 | 112 | { |
391 | 112 | S *slv = (S *)X(mksolver_hc2c)(sizeof(S), desc->radix, hc2ckind, mkcldw); |
392 | 112 | slv->k = codelet; |
393 | 112 | slv->desc = desc; |
394 | 112 | slv->bufferedp = bufferedp; |
395 | 112 | REGISTER_SOLVER(plnr, &(slv->super.super)); |
396 | 112 | } |
397 | | |
398 | | void X(regsolver_hc2c_direct)(planner *plnr, khc2c codelet, |
399 | | const hc2c_desc *desc, |
400 | | hc2c_kind hc2ckind) |
401 | 56 | { |
402 | 56 | regone(plnr, codelet, desc, hc2ckind, /* bufferedp */0); |
403 | 56 | regone(plnr, codelet, desc, hc2ckind, /* bufferedp */1); |
404 | 56 | } |