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/toom4_sqr.c | 164 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 164 insertions(+) create mode 100644 gmp-6.3.0/mpn/generic/toom4_sqr.c (limited to 'gmp-6.3.0/mpn/generic/toom4_sqr.c') diff --git a/gmp-6.3.0/mpn/generic/toom4_sqr.c b/gmp-6.3.0/mpn/generic/toom4_sqr.c new file mode 100644 index 0000000..fd59d1c --- /dev/null +++ b/gmp-6.3.0/mpn/generic/toom4_sqr.c @@ -0,0 +1,164 @@ +/* mpn_toom4_sqr -- Square {ap,an}. + + Contributed to the GNU project by Torbjorn Granlund and 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 2006-2010, 2013, 2021 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" + +/* Evaluate in: -2, -1, 0, +1/2, +1, +2, +inf + + <-s--><--n--><--n--><--n--> + ____ ______ ______ ______ + |_a3_|___a2_|___a1_|___a0_| + + v0 = a0 ^2 # A(0)^2 + v1 = ( a0+ a1+ a2+ a3)^2 # A(1)^2 ah <= 3 + vm1 = ( a0- a1+ a2- a3)^2 # A(-1)^2 |ah| <= 1 + v2 = ( a0+2a1+4a2+8a3)^2 # A(2)^2 ah <= 14 + vm2 = ( a0-2a1+4a2-8a3)^2 # A(-2)^2 -9<=ah<=4 + vh = (8a0+4a1+2a2+ a3)^2 # A(1/2)^2 ah <= 14 + vinf= a3 ^2 # A(inf)^2 +*/ + +#if TUNE_PROGRAM_BUILD +#define MAYBE_sqr_basecase 1 +#define MAYBE_sqr_toom2 1 +#define MAYBE_sqr_toom4 1 +#else +#define MAYBE_sqr_basecase \ + (SQR_TOOM4_THRESHOLD < 4 * SQR_TOOM2_THRESHOLD) +#define MAYBE_sqr_toom2 \ + (SQR_TOOM4_THRESHOLD < 4 * SQR_TOOM3_THRESHOLD) +#define MAYBE_sqr_toom4 \ + (SQR_TOOM6_THRESHOLD >= 4 * SQR_TOOM4_THRESHOLD) +#endif + +#define TOOM4_SQR_REC(p, a, n, ws) \ + do { \ + if (MAYBE_sqr_basecase \ + && BELOW_THRESHOLD (n, SQR_TOOM2_THRESHOLD)) \ + mpn_sqr_basecase (p, a, n); \ + else if (MAYBE_sqr_toom2 \ + && BELOW_THRESHOLD (n, SQR_TOOM3_THRESHOLD)) \ + mpn_toom2_sqr (p, a, n, ws); \ + else if (! MAYBE_sqr_toom4 \ + || BELOW_THRESHOLD (n, SQR_TOOM4_THRESHOLD)) \ + mpn_toom3_sqr (p, a, n, ws); \ + else \ + mpn_toom4_sqr (p, a, n, ws); \ + } while (0) + +void +mpn_toom4_sqr (mp_ptr pp, + mp_srcptr ap, mp_size_t an, + mp_ptr scratch) +{ + mp_size_t n, s; + mp_limb_t cy; + +#define a0 ap +#define a1 (ap + n) +#define a2 (ap + 2*n) +#define a3 (ap + 3*n) + + n = (an + 3) >> 2; + + s = an - 3 * n; + + ASSERT (0 < s && s <= n); + + /* NOTE: The multiplications to v2, vm2, vh and vm1 overwrites the + * following limb, so these must be computed in order, and we need a + * one limb gap to tp. */ +#define v0 pp /* 2n */ +#define v1 (pp + 2 * n) /* 2n+1 */ +#define vinf (pp + 6 * n) /* s+t */ +#define v2 scratch /* 2n+1 */ +#define vm2 (scratch + 2 * n + 1) /* 2n+1 */ +#define vh (scratch + 4 * n + 2) /* 2n+1 */ +#define vm1 (scratch + 6 * n + 3) /* 2n+1 */ +#define tp (scratch + 8*n + 5) + + /* No overlap with v1 */ +#define apx pp /* n+1 */ +#define amx (pp + 4*n + 2) /* n+1 */ + + /* Total scratch need: 8*n + 5 + scratch for recursive calls. This + gives roughly 32 n/3 + log term. */ + + /* Compute apx = a0 + 2 a1 + 4 a2 + 8 a3 and amx = a0 - 2 a1 + 4 a2 - 8 a3. */ + mpn_toom_eval_dgr3_pm2 (apx, amx, ap, n, s, tp); + + TOOM4_SQR_REC (v2, apx, n + 1, tp); /* v2, 2n+1 limbs */ + TOOM4_SQR_REC (vm2, amx, n + 1, tp); /* vm2, 2n+1 limbs */ + + /* Compute apx = 8 a0 + 4 a1 + 2 a2 + a3 = (((2*a0 + a1) * 2 + a2) * 2 + a3 */ +#if HAVE_NATIVE_mpn_addlsh1_n + cy = mpn_addlsh1_n (apx, a1, a0, n); + cy = 2*cy + mpn_addlsh1_n (apx, a2, apx, n); + if (s < n) + { + mp_limb_t cy2; + cy2 = mpn_addlsh1_n (apx, a3, apx, s); + apx[n] = 2*cy + mpn_lshift (apx + s, apx + s, n - s, 1); + MPN_INCR_U (apx + s, n+1-s, cy2); + } + else + apx[n] = 2*cy + mpn_addlsh1_n (apx, a3, apx, n); +#else + cy = mpn_lshift (apx, a0, n, 1); + cy += mpn_add_n (apx, apx, a1, n); + cy = 2*cy + mpn_lshift (apx, apx, n, 1); + cy += mpn_add_n (apx, apx, a2, n); + cy = 2*cy + mpn_lshift (apx, apx, n, 1); + apx[n] = cy + mpn_add (apx, apx, n, a3, s); +#endif + + ASSERT (apx[n] < 15); + + TOOM4_SQR_REC (vh, apx, n + 1, tp); /* vh, 2n+1 limbs */ + + /* Compute apx = a0 + a1 + a2 + a3 and amx = a0 - a1 + a2 - a3. */ + mpn_toom_eval_dgr3_pm1 (apx, amx, ap, n, s, tp); + + TOOM4_SQR_REC (v1, apx, n + 1, tp); /* v1, 2n+1 limbs */ + vm1 [2 * n] = 0; + TOOM4_SQR_REC (vm1, amx, n + amx[n], tp); /* vm1, 2n+1 limbs */ + + TOOM4_SQR_REC (v0, a0, n, tp); + TOOM4_SQR_REC (vinf, a3, s, tp); /* vinf, 2s limbs */ + + mpn_toom_interpolate_7pts (pp, n, (enum toom7_flags) 0, vm2, vm1, v2, vh, 2*s, tp); +} -- cgit v1.2.3