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/* mpn_sub_err2_n -- sub_n with two error terms
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Contributed by David Harvey.
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THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE. IT IS ONLY
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SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS ALMOST
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GUARANTEED THAT IT'LL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE.
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Copyright 2011 Free Software Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of either:
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* the GNU Lesser General Public License as published by the Free
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Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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or
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* the GNU General Public License as published by the Free Software
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Foundation; either version 2 of the License, or (at your option) any
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later version.
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or both in parallel, as here.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received copies of the GNU General Public License and the
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GNU Lesser General Public License along with the GNU MP Library. If not,
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see https://www.gnu.org/licenses/. */
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#include "gmp.h"
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#include "gmp-impl.h"
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/*
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Computes:
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(1) {rp,n} := {up,n} - {vp,n} (just like mpn_sub_n) with incoming borrow cy,
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return value is borrow out.
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(2) Let c[i+1] = borrow from i-th limb subtraction (c[0] = cy).
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Computes c[1]*yp1[n-1] + ... + c[n]*yp1[0],
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c[1]*yp2[n-1] + ... + c[n]*yp2[0],
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stores two-limb results at {ep,2} and {ep+2,2} respectively.
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Requires n >= 1.
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None of the outputs may overlap each other or any of the inputs, except
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that {rp,n} may be equal to {up,n} or {vp,n}.
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*/
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mp_limb_t
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mpn_sub_err2_n (mp_ptr rp, mp_srcptr up, mp_srcptr vp,
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mp_ptr ep, mp_srcptr yp1, mp_srcptr yp2,
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mp_size_t n, mp_limb_t cy)
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{
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mp_limb_t el1, eh1, el2, eh2, ul, vl, yl1, yl2, zl1, zl2, rl, sl, cy1, cy2;
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ASSERT (n >= 1);
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ASSERT (MPN_SAME_OR_SEPARATE_P (rp, up, n));
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ASSERT (MPN_SAME_OR_SEPARATE_P (rp, vp, n));
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ASSERT (! MPN_OVERLAP_P (rp, n, yp1, n));
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ASSERT (! MPN_OVERLAP_P (rp, n, yp2, n));
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ASSERT (! MPN_OVERLAP_P (ep, 4, up, n));
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ASSERT (! MPN_OVERLAP_P (ep, 4, vp, n));
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ASSERT (! MPN_OVERLAP_P (ep, 4, yp1, n));
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ASSERT (! MPN_OVERLAP_P (ep, 4, yp2, n));
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ASSERT (! MPN_OVERLAP_P (ep, 4, rp, n));
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yp1 += n - 1;
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yp2 += n - 1;
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el1 = eh1 = 0;
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el2 = eh2 = 0;
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do
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{
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yl1 = *yp1--;
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yl2 = *yp2--;
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ul = *up++;
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vl = *vp++;
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/* ordinary sub_n */
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SUBC_LIMB (cy1, sl, ul, vl);
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SUBC_LIMB (cy2, rl, sl, cy);
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cy = cy1 | cy2;
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*rp++ = rl;
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/* update (eh1:el1) */
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zl1 = (-cy) & yl1;
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el1 += zl1;
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eh1 += el1 < zl1;
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/* update (eh2:el2) */
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zl2 = (-cy) & yl2;
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el2 += zl2;
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eh2 += el2 < zl2;
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}
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while (--n);
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#if GMP_NAIL_BITS != 0
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eh1 = (eh1 << GMP_NAIL_BITS) + (el1 >> GMP_NUMB_BITS);
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el1 &= GMP_NUMB_MASK;
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eh2 = (eh2 << GMP_NAIL_BITS) + (el2 >> GMP_NUMB_BITS);
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el2 &= GMP_NUMB_MASK;
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#endif
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ep[0] = el1;
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ep[1] = eh1;
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ep[2] = el2;
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ep[3] = eh2;
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return cy;
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}
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