/* * Copyright (c) 2003, 2007-11 Matteo Frigo * Copyright (c) 2003, 2007-11 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 * */ /* Twiddle manipulation */ #include "ifftw.h" #include #define HASHSZ 109 /* hash table of known twiddle factors */ static twid *twlist[HASHSZ]; static INT hash(INT n, INT r) { INT h = n * 17 + r; if (h < 0) h = -h; return (h % HASHSZ); } static int equal_instr(const tw_instr *p, const tw_instr *q) { if (p == q) return 1; for (;; ++p, ++q) { if (p->op != q->op) return 0; switch (p->op) { case TW_NEXT: return (p->v == q->v); /* p->i is ignored */ case TW_FULL: case TW_HALF: if (p->v != q->v) return 0; /* p->i is ignored */ break; default: if (p->v != q->v || p->i != q->i) return 0; break; } } A(0 /* can't happen */); } static int ok_twid(const twid *t, enum wakefulness wakefulness, const tw_instr *q, INT n, INT r, INT m) { return (wakefulness == t->wakefulness && n == t->n && r == t->r && m <= t->m && equal_instr(t->instr, q)); } static twid *lookup(enum wakefulness wakefulness, const tw_instr *q, INT n, INT r, INT m) { twid *p; for (p = twlist[hash(n,r)]; p && !ok_twid(p, wakefulness, q, n, r, m); p = p->cdr) ; return p; } static INT twlen0(INT r, const tw_instr *p, INT *vl) { INT ntwiddle = 0; /* compute length of bytecode program */ A(r > 0); for ( ; p->op != TW_NEXT; ++p) { switch (p->op) { case TW_FULL: ntwiddle += (r - 1) * 2; break; case TW_HALF: ntwiddle += (r - 1); break; case TW_CEXP: ntwiddle += 2; break; case TW_COS: case TW_SIN: ntwiddle += 1; break; } } *vl = (INT)p->v; return ntwiddle; } INT X(twiddle_length)(INT r, const tw_instr *p) { INT vl; return twlen0(r, p, &vl); } static R *compute(enum wakefulness wakefulness, const tw_instr *instr, INT n, INT r, INT m) { INT ntwiddle, j, vl; R *W, *W0; const tw_instr *p; triggen *t = X(mktriggen)(wakefulness, n); p = instr; ntwiddle = twlen0(r, p, &vl); A(m % vl == 0); W0 = W = (R *)MALLOC((ntwiddle * (m / vl)) * sizeof(R), TWIDDLES); for (j = 0; j < m; j += vl) { for (p = instr; p->op != TW_NEXT; ++p) { switch (p->op) { case TW_FULL: { INT i; for (i = 1; i < r; ++i) { A((j + (INT)p->v) * i < n); A((j + (INT)p->v) * i > -n); t->cexp(t, (j + (INT)p->v) * i, W); W += 2; } break; } case TW_HALF: { INT i; A((r % 2) == 1); for (i = 1; i + i < r; ++i) { t->cexp(t, MULMOD(i, (j + (INT)p->v), n), W); W += 2; } break; } case TW_COS: { R d[2]; A((j + (INT)p->v) * p->i < n); A((j + (INT)p->v) * p->i > -n); t->cexp(t, (j + (INT)p->v) * (INT)p->i, d); *W++ = d[0]; break; } case TW_SIN: { R d[2]; A((j + (INT)p->v) * p->i < n); A((j + (INT)p->v) * p->i > -n); t->cexp(t, (j + (INT)p->v) * (INT)p->i, d); *W++ = d[1]; break; } case TW_CEXP: A((j + (INT)p->v) * p->i < n); A((j + (INT)p->v) * p->i > -n); t->cexp(t, (j + (INT)p->v) * (INT)p->i, W); W += 2; break; } } } X(triggen_destroy)(t); return W0; } static void mktwiddle(enum wakefulness wakefulness, twid **pp, const tw_instr *instr, INT n, INT r, INT m) { twid *p; INT h; if ((p = lookup(wakefulness, instr, n, r, m))) { ++p->refcnt; } else { p = (twid *) MALLOC(sizeof(twid), TWIDDLES); p->n = n; p->r = r; p->m = m; p->instr = instr; p->refcnt = 1; p->wakefulness = wakefulness; p->W = compute(wakefulness, instr, n, r, m); /* cons! onto twlist */ h = hash(n, r); p->cdr = twlist[h]; twlist[h] = p; } *pp = p; } static void twiddle_destroy(twid **pp) { twid *p = *pp; twid **q; if ((--p->refcnt) == 0) { /* remove p from twiddle list */ for (q = &twlist[hash(p->n, p->r)]; *q; q = &((*q)->cdr)) { if (*q == p) { *q = p->cdr; X(ifree)(p->W); X(ifree)(p); *pp = 0; return; } } A(0 /* can't happen */ ); } } void X(twiddle_awake)(enum wakefulness wakefulness, twid **pp, const tw_instr *instr, INT n, INT r, INT m) { switch (wakefulness) { case SLEEPY: twiddle_destroy(pp); break; default: mktwiddle(wakefulness, pp, instr, n, r, m); break; } }