/* Goal functions for the vector superoptimizer.

Copyright 2007 Free Software Foundation, Inc.

This program is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free Software
Foundation; either version 2.1 of the License, or (at your option) any later
version.

This program 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 a copy of the GNU General Public License along with
this program; if not, write to the Free Software Foundation, Inc., 51 Franklin
Street, Fifth Floor, Boston, MA 02110-1301, USA. */


/* evaluate in a degree-3 poynomial in the 2 non-trivial points
   -1, 1.  Input in v[0..2].  (Used for toom32/A) */
DEF(3,2,goal_32,
{
  gv[0] = v[0] - v[1] + v[2];				/* -1 */
  gv[1] = v[0] + v[1] + v[2];				/* +1 */
})

/* evaluate in a degree-3 poynomial in the 3 non-trivial points
   -1, 1, 2.  Input in v[0..2].  (Used for toom33/AB) */
DEF(3,3,goal_33,
{
  gv[0] = v[0] -   v[1] +   v[2];			/* -1 */
  gv[1] = v[0] +   v[1] +   v[2];			/* +1 */
  gv[2] = v[0] + 2*v[1] + 4*v[2];			/* +2 */
})

/* evaluate in a degree-4 poynomial in the 3 non-trivial points
   -1, 1, 2.  Input in v[0..3].  (Used for toom42/A) */
DEF(4,3,goal_43,
{
  gv[0] = v[0] -   v[1] +   v[2] -   v[3];		/* -1 */
  gv[1] = v[0] +   v[1] +   v[2] +   v[3];		/* +1 */
  gv[2] = v[0] + 2*v[1] + 4*v[2] + 8*v[3];		/* +2 */
})

/* evaluate in a degree-3 poynomial in the 4 non-trivial points
   -2, -1, 1, 2.  Input in v[0..2].  (Used for toom43/B) */
DEF(3,4,goal_34,
{
  gv[0] = v[0] - 2*v[1] + 4*v[2];			/* -2 */
  gv[1] = v[0] -   v[1] +   v[2];			/* -1 */
  gv[2] = v[0] +   v[1] +   v[2];			/* +1 */
  gv[3] = v[0] + 2*v[1] + 4*v[2];			/* +2 */
})

/* evaluate in a degree-4 poynomial in the 4 non-trivial points
   -2, -1, 1, 2.  Input in v[0..3].  (Used for toom43/A) */
DEF(4,4,goal_44,
{
  gv[0] = v[0] - 2*v[1] + 4*v[2] - 8*v[3];		/* -2 */
  gv[1] = v[0] -   v[1] +   v[2] -   v[3];		/* -1 */
  gv[2] = v[0] +   v[1] +   v[2] +   v[3];		/* +1 */
  gv[3] = v[0] + 2*v[1] + 4*v[2] + 8*v[3];		/* +2 */
})

/* evaluate in a degree-5 poynomial in the 4 non-trivial points
   -2, -1, 1, 2.  Input in v[0..4].  (Used for toom52/A) */
DEF(5,4,goal_54,
{
  gv[0] = v[0] - 2*v[1] + 4*v[2] - 8*v[3] + 16*v[4];	/* -2 */
  gv[1] = v[0] -   v[1] +   v[2] -   v[3] +    v[4];	/* -1 */
  gv[2] = v[0] +   v[1] +   v[2] +   v[3] +    v[4];	/* +1 */
  gv[3] = v[0] + 2*v[1] + 4*v[2] + 8*v[3] + 16*v[4];	/* +2 */
})

/* evaluate in a degree-3 poynomial in the 5 non-trivial points
  -1, -1/2, 1, 1/2, 2.  Input in v[0..2].  (Used for toom53/B) */
DEF(3,5,goal_35,
{
  gv[0] =   v[0] -   v[1] +   v[2];			/* -1 */
  gv[1] = 4*v[0] - 2*v[1] +   v[2];			/* -1/2 */
  gv[2] =   v[0] +   v[1] +   v[2];			/* +1 */
  gv[3] = 4*v[0] + 2*v[1] +   v[2];			/* +1/2 */
  gv[4] =   v[0] + 2*v[1] + 4*v[2];			/* +2 */
})

/* evaluate in a degree-4 poynomial in the 5 non-trivial points
  -1, -1/2, 1, 1/2, 2.  Input in v[0..3].  (Used for toom44/AB) */
DEF(4,5,goal_45,
{
  gv[0] =   v[0] -   v[1] +   v[2] -   v[3];		/* -1 */
  gv[1] = 8*v[0] - 4*v[1] + 2*v[2] -   v[3];		/* -1/2 */
  gv[2] =   v[0] +   v[1] +   v[2] +   v[3];		/* +1 */
  gv[3] = 8*v[0] + 4*v[1] + 2*v[2] +   v[3];		/* +1/2 */
  gv[4] =   v[0] + 2*v[1] + 4*v[2] + 8*v[3];		/* +2 */
})

/* evaluate in a degree-5 poynomial in the 5 non-trivial points
  -1, -1/2, 1, 1/2, 2.  Input in v[0..4].  (Used for toom53/A) */
DEF(5,5,goal_55,
{
  gv[0] =    v[0] -   v[1] +   v[2] -   v[3] +    v[4];	/* -1 */
  gv[1] = 16*v[0] - 8*v[1] + 4*v[2] - 2*v[3] +    v[4];	/* -1/2 */
  gv[2] =    v[0] +   v[1] +   v[2] +   v[3] +    v[4];	/* +1 */
  gv[3] = 16*v[0] + 8*v[1] + 4*v[2] + 2*v[3] +    v[4];	/* +1/2 */
  gv[4] =    v[0] + 2*v[1] + 4*v[2] + 8*v[3] + 16*v[4];	/* +2 */
})

/* evaluate in a degree-6 poynomial in the 5 non-trivial points
  -1, -1/2, 1, 1/2, 2.  Input in v[0..5].  (Used for toom53/A) */
DEF(6,5,goal_65,
{
  gv[0] =    v[0] -    v[1] +   v[2] -   v[3] +    v[4] -    v[5]; /* -1 */
  gv[1] = 32*v[0] - 16*v[1] + 8*v[2] - 4*v[3] +  2*v[4] -    v[5]; /* -1/2 */
  gv[2] =    v[0] +    v[1] +   v[2] +   v[3] +    v[4] +    v[5]; /* +1 */
  gv[3] = 32*v[0] + 16*v[1] + 8*v[2] + 4*v[3] +  2*v[4] +    v[5]; /* +1/2 */
  gv[4] =    v[0] +  2*v[1] + 4*v[2] + 8*v[3] + 16*v[4] + 32*v[5]; /* +2 */
})


/* Trivial test function */
DEF(2,2,goal_test_22,
{
  gv[1] = v[0] + v[1];
  gv[0] = v[0] - 2 * v[1];
})

/* Trivial test function */
DEF(2,3,goal_test_23,
{
  gv[0] = v[0] + v[1];
  gv[1] = v[0] - v[1];
  gv[2] = v[1] - v[0];
})