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/toom_eval_pm2exp.c | 127 +++++++++++++++++++++++++++++++ 1 file changed, 127 insertions(+) create mode 100644 gmp-6.3.0/mpn/generic/toom_eval_pm2exp.c (limited to 'gmp-6.3.0/mpn/generic/toom_eval_pm2exp.c') diff --git a/gmp-6.3.0/mpn/generic/toom_eval_pm2exp.c b/gmp-6.3.0/mpn/generic/toom_eval_pm2exp.c new file mode 100644 index 0000000..c3c4651 --- /dev/null +++ b/gmp-6.3.0/mpn/generic/toom_eval_pm2exp.c @@ -0,0 +1,127 @@ +/* mpn_toom_eval_pm2exp -- Evaluate a polynomial in +2^k and -2^k + + Contributed to the GNU project by Niels Möller + + 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" + +/* Evaluates a polynomial of degree k > 2, in the points +2^shift and -2^shift. */ +int +mpn_toom_eval_pm2exp (mp_ptr xp2, mp_ptr xm2, unsigned k, + mp_srcptr xp, mp_size_t n, mp_size_t hn, unsigned shift, + mp_ptr tp) +{ + unsigned i; + int neg; +#if HAVE_NATIVE_mpn_addlsh_n + mp_limb_t cy; +#endif + + ASSERT (k >= 3); + ASSERT (shift*k < GMP_NUMB_BITS); + + ASSERT (hn > 0); + ASSERT (hn <= n); + + /* The degree k is also the number of full-size coefficients, so + * that last coefficient, of size hn, starts at xp + k*n. */ + +#if HAVE_NATIVE_mpn_addlsh_n + xp2[n] = mpn_addlsh_n (xp2, xp, xp + 2*n, n, 2*shift); + for (i = 4; i < k; i += 2) + xp2[n] += mpn_addlsh_n (xp2, xp2, xp + i*n, n, i*shift); + + tp[n] = mpn_lshift (tp, xp+n, n, shift); + for (i = 3; i < k; i+= 2) + tp[n] += mpn_addlsh_n (tp, tp, xp+i*n, n, i*shift); + + if (k & 1) + { + cy = mpn_addlsh_n (tp, tp, xp+k*n, hn, k*shift); + MPN_INCR_U (tp + hn, n+1 - hn, cy); + } + else + { + cy = mpn_addlsh_n (xp2, xp2, xp+k*n, hn, k*shift); + MPN_INCR_U (xp2 + hn, n+1 - hn, cy); + } + +#else /* !HAVE_NATIVE_mpn_addlsh_n */ + xp2[n] = mpn_lshift (tp, xp+2*n, n, 2*shift); + xp2[n] += mpn_add_n (xp2, xp, tp, n); + for (i = 4; i < k; i += 2) + { + xp2[n] += mpn_lshift (tp, xp + i*n, n, i*shift); + xp2[n] += mpn_add_n (xp2, xp2, tp, n); + } + + tp[n] = mpn_lshift (tp, xp+n, n, shift); + for (i = 3; i < k; i+= 2) + { + tp[n] += mpn_lshift (xm2, xp + i*n, n, i*shift); + tp[n] += mpn_add_n (tp, tp, xm2, n); + } + + xm2[hn] = mpn_lshift (xm2, xp + k*n, hn, k*shift); + if (k & 1) + mpn_add (tp, tp, n+1, xm2, hn+1); + else + mpn_add (xp2, xp2, n+1, xm2, hn+1); +#endif /* !HAVE_NATIVE_mpn_addlsh_n */ + + neg = (mpn_cmp (xp2, tp, n + 1) < 0) ? ~0 : 0; + +#if HAVE_NATIVE_mpn_add_n_sub_n + if (neg) + mpn_add_n_sub_n (xp2, xm2, tp, xp2, n + 1); + else + mpn_add_n_sub_n (xp2, xm2, xp2, tp, n + 1); +#else /* !HAVE_NATIVE_mpn_add_n_sub_n */ + if (neg) + mpn_sub_n (xm2, tp, xp2, n + 1); + else + mpn_sub_n (xm2, xp2, tp, n + 1); + + mpn_add_n (xp2, xp2, tp, n + 1); +#endif /* !HAVE_NATIVE_mpn_add_n_sub_n */ + + /* FIXME: the following asserts are useless if (k+1)*shift >= GMP_LIMB_BITS */ + ASSERT ((k+1)*shift >= GMP_LIMB_BITS || + xp2[n] < ((CNST_LIMB(1)<<((k+1)*shift))-1)/((CNST_LIMB(1)<= GMP_LIMB_BITS || + xm2[n] < ((CNST_LIMB(1)<<((k+2)*shift))-((k&1)?(CNST_LIMB(1)<