/* Add a specific constraint of bmap (or its opposite) to tab.
* The position of the constraint is specified by "c", where
* the equalities of bmap are counted twice, once for the inequality
* that is equal to the equality, and once for its negation.
*
* Each of these constraints has been added to "tab" before by
* tab_add_constraints (and later removed again), so there should
* already be a row available for the constraint.
*/
static int tab_add_constraint(struct isl_tab *tab,
__isl_keep isl_basic_map *bmap, int *div_map, int c, int oppose)
{
unsigned dim;
unsigned tab_total;
unsigned bmap_total;
isl_vec *v;
int r;
if (!tab || !bmap)
return -1;
tab_total = isl_basic_map_total_dim(tab->bmap);
bmap_total = isl_basic_map_total_dim(bmap);
dim = isl_space_dim(tab->bmap->dim, isl_dim_all);
v = isl_vec_alloc(bmap->ctx, 1 + tab_total);
if (!v)
return -1;
if (c < 2 * bmap->n_eq) {
if ((c % 2) != oppose)
isl_seq_neg(bmap->eq[c/2], bmap->eq[c/2],
1 + bmap_total);
if (oppose)
isl_int_sub_ui(bmap->eq[c/2][0], bmap->eq[c/2][0], 1);
expand_constraint(v, dim, bmap->eq[c/2], div_map, bmap->n_div);
r = isl_tab_add_ineq(tab, v->el);
if (oppose)
isl_int_add_ui(bmap->eq[c/2][0], bmap->eq[c/2][0], 1);
if ((c % 2) != oppose)
isl_seq_neg(bmap->eq[c/2], bmap->eq[c/2],
1 + bmap_total);
} else {
c -= 2 * bmap->n_eq;
if (oppose) {
isl_seq_neg(bmap->ineq[c], bmap->ineq[c],
1 + bmap_total);
isl_int_sub_ui(bmap->ineq[c][0], bmap->ineq[c][0], 1);
}
expand_constraint(v, dim, bmap->ineq[c], div_map, bmap->n_div);
r = isl_tab_add_ineq(tab, v->el);
if (oppose) {
isl_int_add_ui(bmap->ineq[c][0], bmap->ineq[c][0], 1);
isl_seq_neg(bmap->ineq[c], bmap->ineq[c],
1 + bmap_total);
}
}
isl_vec_free(v);
return r;
}
/* Find an integer point in the set represented by "tab"
* that lies outside of the equality "eq" e(x) = 0.
* If "up" is true, look for a point satisfying e(x) - 1 >= 0.
* Otherwise, look for a point satisfying -e(x) - 1 >= 0 (i.e., e(x) <= -1).
* The point, if found, is returned.
* If no point can be found, a zero-length vector is returned.
*
* Before solving an ILP problem, we first check if simply
* adding the normal of the constraint to one of the known
* integer points in the basic set represented by "tab"
* yields another point inside the basic set.
*
* The caller of this function ensures that the tableau is bounded or
* that tab->basis and tab->n_unbounded have been set appropriately.
*/
static struct isl_vec *outside_point(struct isl_tab *tab, isl_int *eq, int up)
{
struct isl_ctx *ctx;
struct isl_vec *sample = NULL;
struct isl_tab_undo *snap;
unsigned dim;
if (!tab)
return NULL;
ctx = tab->mat->ctx;
dim = tab->n_var;
sample = isl_vec_alloc(ctx, 1 + dim);
if (!sample)
return NULL;
isl_int_set_si(sample->el[0], 1);
isl_seq_combine(sample->el + 1,
ctx->one, tab->bmap->sample->el + 1,
up ? ctx->one : ctx->negone, eq + 1, dim);
if (isl_basic_map_contains(tab->bmap, sample))
return sample;
isl_vec_free(sample);
sample = NULL;
snap = isl_tab_snap(tab);
if (!up)
isl_seq_neg(eq, eq, 1 + dim);
isl_int_sub_ui(eq[0], eq[0], 1);
if (isl_tab_extend_cons(tab, 1) < 0)
goto error;
if (isl_tab_add_ineq(tab, eq) < 0)
goto error;
sample = isl_tab_sample(tab);
isl_int_add_ui(eq[0], eq[0], 1);
if (!up)
isl_seq_neg(eq, eq, 1 + dim);
if (sample && isl_tab_rollback(tab, snap) < 0)
goto error;
return sample;
error:
isl_vec_free(sample);
return NULL;
}
__isl_give isl_point *isl_point_sub_ui(__isl_take isl_point *pnt,
enum isl_dim_type type, int pos, unsigned val)
{
if (!pnt || isl_point_is_void(pnt))
return pnt;
pnt = isl_point_cow(pnt);
if (!pnt)
return NULL;
pnt->vec = isl_vec_cow(pnt->vec);
if (!pnt->vec)
goto error;
if (type == isl_dim_set)
pos += isl_dim_size(pnt->dim, isl_dim_param);
isl_int_sub_ui(pnt->vec->el[1 + pos], pnt->vec->el[1 + pos], val);
return pnt;
error:
isl_point_free(pnt);
return NULL;
}
