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4c74403188
Change-Id: Iae65e95cfa0d92091b8b0a424ae36d88efa76aa9 Reviewed-on: https://review.haiku-os.org/c/buildtools/+/3020 Reviewed-by: Adrien Destugues <pulkomandy@gmail.com>
182 lines
5.7 KiB
C
182 lines
5.7 KiB
C
/* Implementation of the squaring algorithm with Toom-Cook 6.5-way.
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Contributed to the GNU project by Marco Bodrato.
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THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE. IT IS ONLY
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SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS ALMOST
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GUARANTEED THAT IT WILL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE.
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Copyright 2009 Free Software Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of either:
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* the GNU Lesser General Public License as published by the Free
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Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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or
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* the GNU General Public License as published by the Free Software
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Foundation; either version 2 of the License, or (at your option) any
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later version.
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or both in parallel, as here.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received copies of the GNU General Public License and the
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GNU Lesser General Public License along with the GNU MP Library. If not,
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see https://www.gnu.org/licenses/. */
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#include "gmp-impl.h"
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#if GMP_NUMB_BITS < 21
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#error Not implemented.
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#endif
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#if TUNE_PROGRAM_BUILD
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#define MAYBE_sqr_basecase 1
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#define MAYBE_sqr_above_basecase 1
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#define MAYBE_sqr_toom2 1
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#define MAYBE_sqr_above_toom2 1
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#define MAYBE_sqr_toom3 1
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#define MAYBE_sqr_above_toom3 1
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#define MAYBE_sqr_above_toom4 1
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#else
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#ifdef SQR_TOOM8_THRESHOLD
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#define SQR_TOOM6_MAX ((SQR_TOOM8_THRESHOLD+6*2-1+5)/6)
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#else
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#define SQR_TOOM6_MAX \
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((SQR_FFT_THRESHOLD <= MP_SIZE_T_MAX - (6*2-1+5)) ? \
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((SQR_FFT_THRESHOLD+6*2-1+5)/6) \
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: MP_SIZE_T_MAX )
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#endif
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#define MAYBE_sqr_basecase \
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(SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM2_THRESHOLD)
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#define MAYBE_sqr_above_basecase \
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(SQR_TOOM6_MAX >= SQR_TOOM2_THRESHOLD)
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#define MAYBE_sqr_toom2 \
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(SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM3_THRESHOLD)
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#define MAYBE_sqr_above_toom2 \
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(SQR_TOOM6_MAX >= SQR_TOOM3_THRESHOLD)
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#define MAYBE_sqr_toom3 \
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(SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM4_THRESHOLD)
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#define MAYBE_sqr_above_toom3 \
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(SQR_TOOM6_MAX >= SQR_TOOM4_THRESHOLD)
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#define MAYBE_sqr_above_toom4 \
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(SQR_TOOM6_MAX >= SQR_TOOM6_THRESHOLD)
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#endif
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#define TOOM6_SQR_REC(p, a, n, ws) \
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do { \
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if (MAYBE_sqr_basecase && ( !MAYBE_sqr_above_basecase \
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|| BELOW_THRESHOLD (n, SQR_TOOM2_THRESHOLD))) \
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mpn_sqr_basecase (p, a, n); \
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else if (MAYBE_sqr_toom2 && ( !MAYBE_sqr_above_toom2 \
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|| BELOW_THRESHOLD (n, SQR_TOOM3_THRESHOLD))) \
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mpn_toom2_sqr (p, a, n, ws); \
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else if (MAYBE_sqr_toom3 && ( !MAYBE_sqr_above_toom3 \
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|| BELOW_THRESHOLD (n, SQR_TOOM4_THRESHOLD))) \
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mpn_toom3_sqr (p, a, n, ws); \
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else if (! MAYBE_sqr_above_toom4 \
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|| BELOW_THRESHOLD (n, SQR_TOOM6_THRESHOLD)) \
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mpn_toom4_sqr (p, a, n, ws); \
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else \
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mpn_toom6_sqr (p, a, n, ws); \
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} while (0)
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void
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mpn_toom6_sqr (mp_ptr pp, mp_srcptr ap, mp_size_t an, mp_ptr scratch)
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{
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mp_size_t n, s;
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/***************************** decomposition *******************************/
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ASSERT( an >= 18 );
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n = 1 + (an - 1) / (size_t) 6;
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s = an - 5 * n;
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ASSERT (0 < s && s <= n);
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#define r4 (pp + 3 * n) /* 3n+1 */
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#define r2 (pp + 7 * n) /* 3n+1 */
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#define r0 (pp +11 * n) /* s+t <= 2*n */
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#define r5 (scratch) /* 3n+1 */
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#define r3 (scratch + 3 * n + 1) /* 3n+1 */
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#define r1 (scratch + 6 * n + 2) /* 3n+1 */
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#define v0 (pp + 7 * n) /* n+1 */
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#define v2 (pp + 9 * n+2) /* n+1 */
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#define wse (scratch + 9 * n + 3) /* 3n+1 */
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/* Alloc also 3n+1 limbs for ws... toom_interpolate_12pts may
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need all of them, when DO_mpn_sublsh_n usea a scratch */
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/* if (scratch== NULL) */
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/* scratch = TMP_SALLOC_LIMBS (12 * n + 6); */
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/********************** evaluation and recursive calls *********************/
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/* $\pm1/2$ */
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mpn_toom_eval_pm2rexp (v2, v0, 5, ap, n, s, 1, pp);
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TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1/2)*B(-1/2)*2^. */
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TOOM6_SQR_REC(r5, v2, n + 1, wse); /* A(+1/2)*B(+1/2)*2^. */
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mpn_toom_couple_handling (r5, 2 * n + 1, pp, 0, n, 1, 0);
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/* $\pm1$ */
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mpn_toom_eval_pm1 (v2, v0, 5, ap, n, s, pp);
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TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1)*B(-1) */
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TOOM6_SQR_REC(r3, v2, n + 1, wse); /* A(1)*B(1) */
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mpn_toom_couple_handling (r3, 2 * n + 1, pp, 0, n, 0, 0);
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/* $\pm4$ */
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mpn_toom_eval_pm2exp (v2, v0, 5, ap, n, s, 2, pp);
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TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-4)*B(-4) */
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TOOM6_SQR_REC(r1, v2, n + 1, wse); /* A(+4)*B(+4) */
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mpn_toom_couple_handling (r1, 2 * n + 1, pp, 0, n, 2, 4);
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/* $\pm1/4$ */
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mpn_toom_eval_pm2rexp (v2, v0, 5, ap, n, s, 2, pp);
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TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1/4)*B(-1/4)*4^. */
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TOOM6_SQR_REC(r4, v2, n + 1, wse); /* A(+1/4)*B(+1/4)*4^. */
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mpn_toom_couple_handling (r4, 2 * n + 1, pp, 0, n, 2, 0);
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/* $\pm2$ */
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mpn_toom_eval_pm2 (v2, v0, 5, ap, n, s, pp);
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TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-2)*B(-2) */
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TOOM6_SQR_REC(r2, v2, n + 1, wse); /* A(+2)*B(+2) */
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mpn_toom_couple_handling (r2, 2 * n + 1, pp, 0, n, 1, 2);
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#undef v0
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#undef v2
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/* A(0)*B(0) */
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TOOM6_SQR_REC(pp, ap, n, wse);
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mpn_toom_interpolate_12pts (pp, r1, r3, r5, n, 2 * s, 0, wse);
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#undef r0
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#undef r1
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#undef r2
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#undef r3
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#undef r4
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#undef r5
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}
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#undef TOOM6_SQR_REC
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#undef MAYBE_sqr_basecase
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#undef MAYBE_sqr_above_basecase
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#undef MAYBE_sqr_toom2
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#undef MAYBE_sqr_above_toom2
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#undef MAYBE_sqr_toom3
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#undef MAYBE_sqr_above_toom3
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#undef MAYBE_sqr_above_toom4
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