/* 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 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"

/* 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)<<shift)-1));
  ASSERT ((k+2)*shift >= GMP_LIMB_BITS ||
	  xm2[n] < ((CNST_LIMB(1)<<((k+2)*shift))-((k&1)?(CNST_LIMB(1)<<shift):1))/((CNST_LIMB(1)<<(2*shift))-1));

  return neg;
}