powm_sec.c
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上传日期:2022-08-06
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- /* mpz_powm_sec(res,base,exp,mod) -- Set R to (U^E) mod M.
- Contributed to the GNU project by Torbjorn Granlund.
- Copyright 1991, 1993, 1994, 1996, 1997, 2000, 2001, 2002, 2005, 2008, 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 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.
- 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 Lesser General Public
- License for more details.
- You should have received a copy of the GNU Lesser General Public License
- along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
- #include "gmp.h"
- #include "gmp-impl.h"
- void
- mpz_powm_sec (mpz_ptr r, mpz_srcptr b, mpz_srcptr e, mpz_srcptr m)
- {
- mp_size_t n;
- mp_ptr rp, tp;
- mp_srcptr bp, ep, mp;
- mp_size_t rn, bn, es, en;
- TMP_DECL;
- n = ABSIZ(m);
- if (n == 0)
- DIVIDE_BY_ZERO;
- mp = PTR(m);
- if (mp[0] % 2 == 0)
- DIVIDE_BY_ZERO;
- es = SIZ(e);
- if (UNLIKELY (es <= 0))
- {
- mpz_t new_b;
- if (es == 0)
- {
- /* b^0 mod m, b is anything and m is non-zero.
- Result is 1 mod m, i.e., 1 or 0 depending on if m = 1. */
- SIZ(r) = n != 1 || mp[0] != 1;
- PTR(r)[0] = 1;
- return;
- }
- DIVIDE_BY_ZERO;
- }
- en = es;
- bn = ABSIZ(b);
- TMP_MARK;
- tp = TMP_ALLOC_LIMBS (n + mpn_powm_sec_itch (bn, en, n));
- rp = tp; tp += n;
- bp = PTR(b);
- ep = PTR(e);
- mpn_powm_sec (rp, bp, bn, ep, en, mp, n, tp);
- rn = n;
- MPN_NORMALIZE (rp, rn);
- if ((ep[0] & 1) && SIZ(b) < 0 && rn != 0)
- {
- mpn_sub (rp, PTR(m), n, rp, rn);
- rn = n;
- MPN_NORMALIZE (rp, rn);
- }
- MPZ_REALLOC (r, rn);
- SIZ(r) = rn;
- MPN_COPY (PTR(r), rp, rn);
- TMP_FREE;
- }