github.com/aergoio/aergo@v1.3.1/libtool/src/gmp-6.1.2/mpn/generic/add_err2_n.c (about)

     1  /* mpn_add_err2_n -- add_n with two error terms
     2  
     3     Contributed by David Harvey.
     4  
     5     THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE.  IT IS ONLY
     6     SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES.  IN FACT, IT IS ALMOST
     7     GUARANTEED THAT IT'LL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE.
     8  
     9  Copyright 2011 Free Software Foundation, Inc.
    10  
    11  This file is part of the GNU MP Library.
    12  
    13  The GNU MP Library is free software; you can redistribute it and/or modify
    14  it under the terms of either:
    15  
    16    * the GNU Lesser General Public License as published by the Free
    17      Software Foundation; either version 3 of the License, or (at your
    18      option) any later version.
    19  
    20  or
    21  
    22    * the GNU General Public License as published by the Free Software
    23      Foundation; either version 2 of the License, or (at your option) any
    24      later version.
    25  
    26  or both in parallel, as here.
    27  
    28  The GNU MP Library is distributed in the hope that it will be useful, but
    29  WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
    30  or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
    31  for more details.
    32  
    33  You should have received copies of the GNU General Public License and the
    34  GNU Lesser General Public License along with the GNU MP Library.  If not,
    35  see https://www.gnu.org/licenses/.  */
    36  
    37  #include "gmp.h"
    38  #include "gmp-impl.h"
    39  
    40  /*
    41    Computes:
    42  
    43    (1) {rp,n} := {up,n} + {vp,n} (just like mpn_add_n) with incoming carry cy,
    44    return value is carry out.
    45  
    46    (2) Let c[i+1] = carry from i-th limb addition (c[0] = cy).
    47    Computes c[1]*yp1[n-1] + ... + c[n]*yp1[0],
    48             c[1]*yp2[n-1] + ... + c[n]*yp2[0],
    49    stores two-limb results at {ep,2} and {ep+2,2} respectively.
    50  
    51    Requires n >= 1.
    52  
    53    None of the outputs may overlap each other or any of the inputs, except
    54    that {rp,n} may be equal to {up,n} or {vp,n}.
    55  */
    56  mp_limb_t
    57  mpn_add_err2_n (mp_ptr rp, mp_srcptr up, mp_srcptr vp,
    58                  mp_ptr ep, mp_srcptr yp1, mp_srcptr yp2,
    59                  mp_size_t n, mp_limb_t cy)
    60  {
    61    mp_limb_t el1, eh1, el2, eh2, ul, vl, yl1, yl2, zl1, zl2, rl, sl, cy1, cy2;
    62  
    63    ASSERT (n >= 1);
    64    ASSERT (MPN_SAME_OR_SEPARATE_P (rp, up, n));
    65    ASSERT (MPN_SAME_OR_SEPARATE_P (rp, vp, n));
    66    ASSERT (! MPN_OVERLAP_P (rp, n, yp1, n));
    67    ASSERT (! MPN_OVERLAP_P (rp, n, yp2, n));
    68    ASSERT (! MPN_OVERLAP_P (ep, 4, up, n));
    69    ASSERT (! MPN_OVERLAP_P (ep, 4, vp, n));
    70    ASSERT (! MPN_OVERLAP_P (ep, 4, yp1, n));
    71    ASSERT (! MPN_OVERLAP_P (ep, 4, yp2, n));
    72    ASSERT (! MPN_OVERLAP_P (ep, 4, rp, n));
    73  
    74    yp1 += n - 1;
    75    yp2 += n - 1;
    76    el1 = eh1 = 0;
    77    el2 = eh2 = 0;
    78  
    79    do
    80      {
    81        yl1 = *yp1--;
    82        yl2 = *yp2--;
    83        ul = *up++;
    84        vl = *vp++;
    85  
    86        /* ordinary add_n */
    87        ADDC_LIMB (cy1, sl, ul, vl);
    88        ADDC_LIMB (cy2, rl, sl, cy);
    89        cy = cy1 | cy2;
    90        *rp++ = rl;
    91  
    92        /* update (eh1:el1) */
    93        zl1 = (-cy) & yl1;
    94        el1 += zl1;
    95        eh1 += el1 < zl1;
    96  
    97        /* update (eh2:el2) */
    98        zl2 = (-cy) & yl2;
    99        el2 += zl2;
   100        eh2 += el2 < zl2;
   101      }
   102    while (--n);
   103  
   104  #if GMP_NAIL_BITS != 0
   105    eh1 = (eh1 << GMP_NAIL_BITS) + (el1 >> GMP_NUMB_BITS);
   106    el1 &= GMP_NUMB_MASK;
   107    eh2 = (eh2 << GMP_NAIL_BITS) + (el2 >> GMP_NUMB_BITS);
   108    el2 &= GMP_NUMB_MASK;
   109  #endif
   110  
   111    ep[0] = el1;
   112    ep[1] = eh1;
   113    ep[2] = el2;
   114    ep[3] = eh2;
   115  
   116    return cy;
   117  }