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Diffstat (limited to 'Build/source/libs/gmp/gmp-6.0.0/mpn/generic/powlo.c')
-rw-r--r-- | Build/source/libs/gmp/gmp-6.0.0/mpn/generic/powlo.c | 174 |
1 files changed, 174 insertions, 0 deletions
diff --git a/Build/source/libs/gmp/gmp-6.0.0/mpn/generic/powlo.c b/Build/source/libs/gmp/gmp-6.0.0/mpn/generic/powlo.c new file mode 100644 index 00000000000..adcd96eb518 --- /dev/null +++ b/Build/source/libs/gmp/gmp-6.0.0/mpn/generic/powlo.c @@ -0,0 +1,174 @@ +/* mpn_powlo -- Compute R = U^E mod B^n, where B is the limb base. + +Copyright 2007-2009, 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.h" +#include "gmp-impl.h" +#include "longlong.h" + + +#define getbit(p,bi) \ + ((p[(bi - 1) / GMP_LIMB_BITS] >> (bi - 1) % GMP_LIMB_BITS) & 1) + +static inline mp_limb_t +getbits (const mp_limb_t *p, mp_bitcnt_t bi, int nbits) +{ + int nbits_in_r; + mp_limb_t r; + mp_size_t i; + + if (bi < nbits) + { + return p[0] & (((mp_limb_t) 1 << bi) - 1); + } + else + { + bi -= nbits; /* bit index of low bit to extract */ + i = bi / GMP_NUMB_BITS; /* word index of low bit to extract */ + bi %= GMP_NUMB_BITS; /* bit index in low word */ + r = p[i] >> bi; /* extract (low) bits */ + nbits_in_r = GMP_NUMB_BITS - bi; /* number of bits now in r */ + if (nbits_in_r < nbits) /* did we get enough bits? */ + r += p[i + 1] << nbits_in_r; /* prepend bits from higher word */ + return r & (((mp_limb_t ) 1 << nbits) - 1); + } +} + +static inline int +win_size (mp_bitcnt_t eb) +{ + int k; + static mp_bitcnt_t x[] = {1,7,25,81,241,673,1793,4609,11521,28161,~(mp_bitcnt_t)0}; + for (k = 0; eb > x[k]; k++) + ; + return k; +} + +/* rp[n-1..0] = bp[n-1..0] ^ ep[en-1..0] mod B^n, B is the limb base. + Requires that ep[en-1] is non-zero. + Uses scratch space tp[3n-1..0], i.e., 3n words. */ +void +mpn_powlo (mp_ptr rp, mp_srcptr bp, + mp_srcptr ep, mp_size_t en, + mp_size_t n, mp_ptr tp) +{ + int cnt; + mp_bitcnt_t ebi; + int windowsize, this_windowsize; + mp_limb_t expbits; + mp_limb_t *pp, *this_pp, *last_pp; + mp_limb_t *b2p; + long i; + TMP_DECL; + + ASSERT (en > 1 || (en == 1 && ep[0] > 1)); + + TMP_MARK; + + MPN_SIZEINBASE_2EXP(ebi, ep, en, 1); + + windowsize = win_size (ebi); + + pp = TMP_ALLOC_LIMBS ((n << (windowsize - 1)) + n); /* + n is for mullo ign part */ + + this_pp = pp; + + MPN_COPY (this_pp, bp, n); + + b2p = tp + 2*n; + + /* Store b^2 in b2. */ + mpn_sqr (tp, bp, n); /* FIXME: Use "mpn_sqrlo" */ + MPN_COPY (b2p, tp, n); + + /* Precompute odd powers of b and put them in the temporary area at pp. */ + for (i = (1 << (windowsize - 1)) - 1; i > 0; i--) + { + last_pp = this_pp; + this_pp += n; + mpn_mullo_n (this_pp, last_pp, b2p, n); + } + + expbits = getbits (ep, ebi, windowsize); + if (ebi < windowsize) + ebi = 0; + else + ebi -= windowsize; + + count_trailing_zeros (cnt, expbits); + ebi += cnt; + expbits >>= cnt; + + MPN_COPY (rp, pp + n * (expbits >> 1), n); + + while (ebi != 0) + { + while (getbit (ep, ebi) == 0) + { + mpn_sqr (tp, rp, n); /* FIXME: Use "mpn_sqrlo" */ + MPN_COPY (rp, tp, n); + ebi--; + if (ebi == 0) + goto done; + } + + /* The next bit of the exponent is 1. Now extract the largest block of + bits <= windowsize, and such that the least significant bit is 1. */ + + expbits = getbits (ep, ebi, windowsize); + this_windowsize = windowsize; + if (ebi < windowsize) + { + this_windowsize -= windowsize - ebi; + ebi = 0; + } + else + ebi -= windowsize; + + count_trailing_zeros (cnt, expbits); + this_windowsize -= cnt; + ebi += cnt; + expbits >>= cnt; + + do + { + mpn_sqr (tp, rp, n); + MPN_COPY (rp, tp, n); + this_windowsize--; + } + while (this_windowsize != 0); + + mpn_mullo_n (tp, rp, pp + n * (expbits >> 1), n); + MPN_COPY (rp, tp, n); + } + + done: + TMP_FREE; +} |