/* matrix22_mul1_inverse_vector.c

   THE FUNCTIONS IN THIS FILE ARE INTERNAL WITH MUTABLE INTERFACES.  IT IS ONLY

   SAFE TO REACH THEM THROUGH DOCUMENTED INTERFACES.  IN FACT, IT IS ALMOST

   GUARANTEED THAT THEY'LL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE.

Copyright 2008, 2010 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-impl.h"

#include "longlong.h"

/* Sets (r;b) = M^{-1}(a;b), with M^{-1} = (u11, -u01; -u10, u00) from

   the left. Uses three buffers, to avoid a copy. */

mp_size_t

mpn_matrix22_mul1_inverse_vector (const struct hgcd_matrix1 *M,

          mp_ptr rp, mp_srcptr ap, mp_ptr bp, mp_size_t n)

{

  mp_limb_t h0, h1;

  /* Compute (r;b) <-- (u11 a - u01 b; -u10 a + u00 b) as

     r  = u11 * a

     r -= u01 * b

     b *= u00

     b -= u10 * a

  */

  h0 =    mpn_mul_1 (rp, ap, n, M->u[1][1]);

  h1 = mpn_submul_1 (rp, bp, n, M->u[0][1]);

  ASSERT (h0 == h1);

  h0 =    mpn_mul_1 (bp, bp, n, M->u[0][0]);

  h1 = mpn_submul_1 (bp, ap, n, M->u[1][0]);

  ASSERT (h0 == h1);

  n -= (rp[n-1] | bp[n-1]) == 0;

  return n;

}