From 11da511c784eca003deb90c23570f0873954e0de Mon Sep 17 00:00:00 2001 From: Duncan Wilkie Date: Sat, 18 Nov 2023 06:11:09 -0600 Subject: Initial commit. --- gmp-6.3.0/mpn/generic/toom6_sqr.c | 181 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 181 insertions(+) create mode 100644 gmp-6.3.0/mpn/generic/toom6_sqr.c (limited to 'gmp-6.3.0/mpn/generic/toom6_sqr.c') diff --git a/gmp-6.3.0/mpn/generic/toom6_sqr.c b/gmp-6.3.0/mpn/generic/toom6_sqr.c new file mode 100644 index 0000000..336eef9 --- /dev/null +++ b/gmp-6.3.0/mpn/generic/toom6_sqr.c @@ -0,0 +1,181 @@ +/* Implementation of the squaring algorithm with Toom-Cook 6.5-way. + + Contributed to the GNU project by Marco Bodrato. + + THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE. IT IS ONLY + SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS ALMOST + GUARANTEED THAT IT WILL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE. + +Copyright 2009 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + +or + + * 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. + +or both in parallel, as here. + +The GNU MP Library 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 copies of the GNU General Public License and the +GNU Lesser General Public License along with the GNU MP Library. If not, +see https://www.gnu.org/licenses/. */ + + +#include "gmp-impl.h" + + +#if GMP_NUMB_BITS < 21 +#error Not implemented. +#endif + + +#if TUNE_PROGRAM_BUILD +#define MAYBE_sqr_basecase 1 +#define MAYBE_sqr_above_basecase 1 +#define MAYBE_sqr_toom2 1 +#define MAYBE_sqr_above_toom2 1 +#define MAYBE_sqr_toom3 1 +#define MAYBE_sqr_above_toom3 1 +#define MAYBE_sqr_above_toom4 1 +#else +#ifdef SQR_TOOM8_THRESHOLD +#define SQR_TOOM6_MAX ((SQR_TOOM8_THRESHOLD+6*2-1+5)/6) +#else +#define SQR_TOOM6_MAX \ + ((SQR_FFT_THRESHOLD <= MP_SIZE_T_MAX - (6*2-1+5)) ? \ + ((SQR_FFT_THRESHOLD+6*2-1+5)/6) \ + : MP_SIZE_T_MAX ) +#endif +#define MAYBE_sqr_basecase \ + (SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM2_THRESHOLD) +#define MAYBE_sqr_above_basecase \ + (SQR_TOOM6_MAX >= SQR_TOOM2_THRESHOLD) +#define MAYBE_sqr_toom2 \ + (SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM3_THRESHOLD) +#define MAYBE_sqr_above_toom2 \ + (SQR_TOOM6_MAX >= SQR_TOOM3_THRESHOLD) +#define MAYBE_sqr_toom3 \ + (SQR_TOOM6_THRESHOLD < 6 * SQR_TOOM4_THRESHOLD) +#define MAYBE_sqr_above_toom3 \ + (SQR_TOOM6_MAX >= SQR_TOOM4_THRESHOLD) +#define MAYBE_sqr_above_toom4 \ + (SQR_TOOM6_MAX >= SQR_TOOM6_THRESHOLD) +#endif + +#define TOOM6_SQR_REC(p, a, n, ws) \ + do { \ + if (MAYBE_sqr_basecase && ( !MAYBE_sqr_above_basecase \ + || BELOW_THRESHOLD (n, SQR_TOOM2_THRESHOLD))) \ + mpn_sqr_basecase (p, a, n); \ + else if (MAYBE_sqr_toom2 && ( !MAYBE_sqr_above_toom2 \ + || BELOW_THRESHOLD (n, SQR_TOOM3_THRESHOLD))) \ + mpn_toom2_sqr (p, a, n, ws); \ + else if (MAYBE_sqr_toom3 && ( !MAYBE_sqr_above_toom3 \ + || BELOW_THRESHOLD (n, SQR_TOOM4_THRESHOLD))) \ + mpn_toom3_sqr (p, a, n, ws); \ + else if (! MAYBE_sqr_above_toom4 \ + || BELOW_THRESHOLD (n, SQR_TOOM6_THRESHOLD)) \ + mpn_toom4_sqr (p, a, n, ws); \ + else \ + mpn_toom6_sqr (p, a, n, ws); \ + } while (0) + +void +mpn_toom6_sqr (mp_ptr pp, mp_srcptr ap, mp_size_t an, mp_ptr scratch) +{ + mp_size_t n, s; + + /***************************** decomposition *******************************/ + + ASSERT( an >= 18 ); + + n = 1 + (an - 1) / (size_t) 6; + + s = an - 5 * n; + + ASSERT (0 < s && s <= n); + +#define r4 (pp + 3 * n) /* 3n+1 */ +#define r2 (pp + 7 * n) /* 3n+1 */ +#define r0 (pp +11 * n) /* s+t <= 2*n */ +#define r5 (scratch) /* 3n+1 */ +#define r3 (scratch + 3 * n + 1) /* 3n+1 */ +#define r1 (scratch + 6 * n + 2) /* 3n+1 */ +#define v0 (pp + 7 * n) /* n+1 */ +#define v2 (pp + 9 * n+2) /* n+1 */ +#define wse (scratch + 9 * n + 3) /* 3n+1 */ + + /* Alloc also 3n+1 limbs for ws... toom_interpolate_12pts may + need all of them, when DO_mpn_sublsh_n usea a scratch */ +/* if (scratch== NULL) */ +/* scratch = TMP_SALLOC_LIMBS (12 * n + 6); */ + + /********************** evaluation and recursive calls *********************/ + /* $\pm1/2$ */ + mpn_toom_eval_pm2rexp (v2, v0, 5, ap, n, s, 1, pp); + TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1/2)*B(-1/2)*2^. */ + TOOM6_SQR_REC(r5, v2, n + 1, wse); /* A(+1/2)*B(+1/2)*2^. */ + mpn_toom_couple_handling (r5, 2 * n + 1, pp, 0, n, 1, 0); + + /* $\pm1$ */ + mpn_toom_eval_pm1 (v2, v0, 5, ap, n, s, pp); + TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1)*B(-1) */ + TOOM6_SQR_REC(r3, v2, n + 1, wse); /* A(1)*B(1) */ + mpn_toom_couple_handling (r3, 2 * n + 1, pp, 0, n, 0, 0); + + /* $\pm4$ */ + mpn_toom_eval_pm2exp (v2, v0, 5, ap, n, s, 2, pp); + TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-4)*B(-4) */ + TOOM6_SQR_REC(r1, v2, n + 1, wse); /* A(+4)*B(+4) */ + mpn_toom_couple_handling (r1, 2 * n + 1, pp, 0, n, 2, 4); + + /* $\pm1/4$ */ + mpn_toom_eval_pm2rexp (v2, v0, 5, ap, n, s, 2, pp); + TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-1/4)*B(-1/4)*4^. */ + TOOM6_SQR_REC(r4, v2, n + 1, wse); /* A(+1/4)*B(+1/4)*4^. */ + mpn_toom_couple_handling (r4, 2 * n + 1, pp, 0, n, 2, 0); + + /* $\pm2$ */ + mpn_toom_eval_pm2 (v2, v0, 5, ap, n, s, pp); + TOOM6_SQR_REC(pp, v0, n + 1, wse); /* A(-2)*B(-2) */ + TOOM6_SQR_REC(r2, v2, n + 1, wse); /* A(+2)*B(+2) */ + mpn_toom_couple_handling (r2, 2 * n + 1, pp, 0, n, 1, 2); + +#undef v0 +#undef v2 + + /* A(0)*B(0) */ + TOOM6_SQR_REC(pp, ap, n, wse); + + mpn_toom_interpolate_12pts (pp, r1, r3, r5, n, 2 * s, 0, wse); + +#undef r0 +#undef r1 +#undef r2 +#undef r3 +#undef r4 +#undef r5 + +} +#undef TOOM6_SQR_REC +#undef MAYBE_sqr_basecase +#undef MAYBE_sqr_above_basecase +#undef MAYBE_sqr_toom2 +#undef MAYBE_sqr_above_toom2 +#undef MAYBE_sqr_toom3 +#undef MAYBE_sqr_above_toom3 +#undef MAYBE_sqr_above_toom4 -- cgit v1.2.3