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/toom8_sqr.c | 225 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 225 insertions(+) create mode 100644 gmp-6.3.0/mpn/generic/toom8_sqr.c (limited to 'gmp-6.3.0/mpn/generic/toom8_sqr.c') diff --git a/gmp-6.3.0/mpn/generic/toom8_sqr.c b/gmp-6.3.0/mpn/generic/toom8_sqr.c new file mode 100644 index 0000000..03e5c64 --- /dev/null +++ b/gmp-6.3.0/mpn/generic/toom8_sqr.c @@ -0,0 +1,225 @@ +/* Implementation of the squaring algorithm with Toom-Cook 8.5-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, 2012 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 < 29 +#error Not implemented. +#endif + +#if GMP_NUMB_BITS < 43 +#define BIT_CORRECTION 1 +#define CORRECTION_BITS GMP_NUMB_BITS +#else +#define BIT_CORRECTION 0 +#define CORRECTION_BITS 0 +#endif + +#ifndef SQR_TOOM8_THRESHOLD +#define SQR_TOOM8_THRESHOLD MUL_TOOM8H_THRESHOLD +#endif + +#ifndef SQR_TOOM6_THRESHOLD +#define SQR_TOOM6_THRESHOLD MUL_TOOM6H_THRESHOLD +#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_toom4 1 +#define MAYBE_sqr_above_toom4 1 +#define MAYBE_sqr_above_toom6 1 +#else +#define SQR_TOOM8_MAX \ + ((SQR_FFT_THRESHOLD <= MP_SIZE_T_MAX - (8*2-1+7)) ? \ + ((SQR_FFT_THRESHOLD+8*2-1+7)/8) \ + : MP_SIZE_T_MAX ) +#define MAYBE_sqr_basecase \ + (SQR_TOOM8_THRESHOLD < 8 * SQR_TOOM2_THRESHOLD) +#define MAYBE_sqr_above_basecase \ + (SQR_TOOM8_MAX >= SQR_TOOM2_THRESHOLD) +#define MAYBE_sqr_toom2 \ + (SQR_TOOM8_THRESHOLD < 8 * SQR_TOOM3_THRESHOLD) +#define MAYBE_sqr_above_toom2 \ + (SQR_TOOM8_MAX >= SQR_TOOM3_THRESHOLD) +#define MAYBE_sqr_toom3 \ + (SQR_TOOM8_THRESHOLD < 8 * SQR_TOOM4_THRESHOLD) +#define MAYBE_sqr_above_toom3 \ + (SQR_TOOM8_MAX >= SQR_TOOM4_THRESHOLD) +#define MAYBE_sqr_toom4 \ + (SQR_TOOM8_THRESHOLD < 8 * SQR_TOOM6_THRESHOLD) +#define MAYBE_sqr_above_toom4 \ + (SQR_TOOM8_MAX >= SQR_TOOM6_THRESHOLD) +#define MAYBE_sqr_above_toom6 \ + (SQR_TOOM8_MAX >= SQR_TOOM8_THRESHOLD) +#endif + +#define TOOM8_SQR_REC(p, a, f, p2, a2, n, ws) \ + do { \ + if (MAYBE_sqr_basecase && ( !MAYBE_sqr_above_basecase \ + || BELOW_THRESHOLD (n, SQR_TOOM2_THRESHOLD))) { \ + mpn_sqr_basecase (p, a, n); \ + if (f) mpn_sqr_basecase (p2, a2, n); \ + } else if (MAYBE_sqr_toom2 && ( !MAYBE_sqr_above_toom2 \ + || BELOW_THRESHOLD (n, SQR_TOOM3_THRESHOLD))) { \ + mpn_toom2_sqr (p, a, n, ws); \ + if (f) mpn_toom2_sqr (p2, a2, n, ws); \ + } else if (MAYBE_sqr_toom3 && ( !MAYBE_sqr_above_toom3 \ + || BELOW_THRESHOLD (n, SQR_TOOM4_THRESHOLD))) { \ + mpn_toom3_sqr (p, a, n, ws); \ + if (f) mpn_toom3_sqr (p2, a2, n, ws); \ + } else if (MAYBE_sqr_toom4 && ( !MAYBE_sqr_above_toom4 \ + || BELOW_THRESHOLD (n, SQR_TOOM6_THRESHOLD))) { \ + mpn_toom4_sqr (p, a, n, ws); \ + if (f) mpn_toom4_sqr (p2, a2, n, ws); \ + } else if (! MAYBE_sqr_above_toom6 \ + || BELOW_THRESHOLD (n, SQR_TOOM8_THRESHOLD)) { \ + mpn_toom6_sqr (p, a, n, ws); \ + if (f) mpn_toom6_sqr (p2, a2, n, ws); \ + } else { \ + mpn_toom8_sqr (p, a, n, ws); \ + if (f) mpn_toom8_sqr (p2, a2, n, ws); \ + } \ + } while (0) + +void +mpn_toom8_sqr (mp_ptr pp, mp_srcptr ap, mp_size_t an, mp_ptr scratch) +{ + mp_size_t n, s; + + /***************************** decomposition *******************************/ + + ASSERT ( an >= 40 ); + + n = 1 + ((an - 1)>>3); + + s = an - 7 * n; + + ASSERT (0 < s && s <= n); + ASSERT ( s + s > 3 ); + +#define r6 (pp + 3 * n) /* 3n+1 */ +#define r4 (pp + 7 * n) /* 3n+1 */ +#define r2 (pp +11 * n) /* 3n+1 */ +#define r0 (pp +15 * n) /* s+t <= 2*n */ +#define r7 (scratch) /* 3n+1 */ +#define r5 (scratch + 3 * n + 1) /* 3n+1 */ +#define r3 (scratch + 6 * n + 2) /* 3n+1 */ +#define r1 (scratch + 9 * n + 3) /* 3n+1 */ +#define v0 (pp +11 * n) /* n+1 */ +#define v2 (pp +13 * n+2) /* n+1 */ +#define wse (scratch +12 * n + 4) /* 3n+1 */ + + /* Alloc also 3n+1 limbs for ws... toom_interpolate_16pts may + need all of them, when DO_mpn_sublsh_n usea a scratch */ +/* if (scratch == NULL) */ +/* scratch = TMP_SALLOC_LIMBS (30 * n + 6); */ + + /********************** evaluation and recursive calls *********************/ + /* $\pm1/8$ */ + mpn_toom_eval_pm2rexp (v2, v0, 7, ap, n, s, 3, pp); + /* A(-1/8)*B(-1/8)*8^. */ /* A(+1/8)*B(+1/8)*8^. */ + TOOM8_SQR_REC(pp, v0, 2, r7, v2, n + 1, wse); + mpn_toom_couple_handling (r7, 2 * n + 1 + BIT_CORRECTION, pp, 0, n, 3, 0); + + /* $\pm1/4$ */ + mpn_toom_eval_pm2rexp (v2, v0, 7, ap, n, s, 2, pp); + /* A(-1/4)*B(-1/4)*4^. */ /* A(+1/4)*B(+1/4)*4^. */ + TOOM8_SQR_REC(pp, v0, 2, r5, v2, n + 1, wse); + mpn_toom_couple_handling (r5, 2 * n + 1, pp, 0, n, 2, 0); + + /* $\pm2$ */ + mpn_toom_eval_pm2 (v2, v0, 7, ap, n, s, pp); + /* A(-2)*B(-2) */ /* A(+2)*B(+2) */ + TOOM8_SQR_REC(pp, v0, 2, r3, v2, n + 1, wse); + mpn_toom_couple_handling (r3, 2 * n + 1, pp, 0, n, 1, 2); + + /* $\pm8$ */ + mpn_toom_eval_pm2exp (v2, v0, 7, ap, n, s, 3, pp); + /* A(-8)*B(-8) */ /* A(+8)*B(+8) */ + TOOM8_SQR_REC(pp, v0, 2, r1, v2, n + 1, wse); + mpn_toom_couple_handling (r1, 2 * n + 1 + BIT_CORRECTION, pp, 0, n, 3, 6); + + /* $\pm1/2$ */ + mpn_toom_eval_pm2rexp (v2, v0, 7, ap, n, s, 1, pp); + /* A(-1/2)*B(-1/2)*2^. */ /* A(+1/2)*B(+1/2)*2^. */ + TOOM8_SQR_REC(pp, v0, 2, r6, v2, n + 1, wse); + mpn_toom_couple_handling (r6, 2 * n + 1, pp, 0, n, 1, 0); + + /* $\pm1$ */ + mpn_toom_eval_pm1 (v2, v0, 7, ap, n, s, pp); + /* A(-1)*B(-1) */ /* A(1)*B(1) */ + TOOM8_SQR_REC(pp, v0, 2, r4, v2, n + 1, wse); + mpn_toom_couple_handling (r4, 2 * n + 1, pp, 0, n, 0, 0); + + /* $\pm4$ */ + mpn_toom_eval_pm2exp (v2, v0, 7, ap, n, s, 2, pp); + /* A(-4)*B(-4) */ /* A(+4)*B(+4) */ + TOOM8_SQR_REC(pp, v0, 2, r2, v2, n + 1, wse); + mpn_toom_couple_handling (r2, 2 * n + 1, pp, 0, n, 2, 4); + +#undef v0 +#undef v2 + + /* A(0)*B(0) */ + TOOM8_SQR_REC(pp, ap, 0, pp, ap, n, wse); + + mpn_toom_interpolate_16pts (pp, r1, r3, r5, r7, n, 2 * s, 0, wse); + +#undef r0 +#undef r1 +#undef r2 +#undef r3 +#undef r4 +#undef r5 +#undef r6 +#undef wse + +} + +#undef TOOM8_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