/* 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;
}
/* Add all constraints of bmap to tab. The equalities of bmap
* are added as a pair of inequalities.
*/
static int tab_add_constraints(struct isl_tab *tab,
__isl_keep isl_basic_map *bmap, int *div_map)
{
int i;
unsigned dim;
unsigned tab_total;
unsigned bmap_total;
isl_vec *v;
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);
if (isl_tab_extend_cons(tab, 2 * bmap->n_eq + bmap->n_ineq) < 0)
return -1;
v = isl_vec_alloc(bmap->ctx, 1 + tab_total);
if (!v)
return -1;
for (i = 0; i < bmap->n_eq; ++i) {
expand_constraint(v, dim, bmap->eq[i], div_map, bmap->n_div);
if (isl_tab_add_ineq(tab, v->el) < 0)
goto error;
isl_seq_neg(bmap->eq[i], bmap->eq[i], 1 + bmap_total);
expand_constraint(v, dim, bmap->eq[i], div_map, bmap->n_div);
if (isl_tab_add_ineq(tab, v->el) < 0)
goto error;
isl_seq_neg(bmap->eq[i], bmap->eq[i], 1 + bmap_total);
if (tab->empty)
break;
}
for (i = 0; i < bmap->n_ineq; ++i) {
expand_constraint(v, dim, bmap->ineq[i], div_map, bmap->n_div);
if (isl_tab_add_ineq(tab, v->el) < 0)
goto error;
if (tab->empty)
break;
}
isl_vec_free(v);
return 0;
error:
isl_vec_free(v);
return -1;
}
/* Return 1 if "bmap" contains the point "point".
* "bmap" is assumed to have known divs.
* The point is first extended with the divs and then passed
* to basic_map_contains.
*/
int isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
__isl_keep isl_point *point)
{
int i;
struct isl_vec *vec;
unsigned dim;
int contains;
if (!bmap || !point)
return -1;
isl_assert(bmap->ctx, isl_dim_equal(bmap->dim, point->dim), return -1);
if (bmap->n_div == 0)
return isl_basic_map_contains(bmap, point->vec);
dim = isl_basic_map_total_dim(bmap) - bmap->n_div;
vec = isl_vec_alloc(bmap->ctx, 1 + dim + bmap->n_div);
if (!vec)
return -1;
isl_seq_cpy(vec->el, point->vec->el, point->vec->size);
for (i = 0; i < bmap->n_div; ++i) {
isl_seq_inner_product(bmap->div[i] + 1, vec->el,
1 + dim + i, &vec->el[1+dim+i]);
isl_int_fdiv_q(vec->el[1+dim+i], vec->el[1+dim+i],
bmap->div[i][0]);
}
contains = isl_basic_map_contains(bmap, vec);
isl_vec_free(vec);
return contains;
}
static int tab_add_divs(struct isl_tab *tab, __isl_keep isl_basic_map *bmap,
int **div_map)
{
int i, j;
struct isl_vec *vec;
unsigned total;
unsigned dim;
if (!bmap)
return -1;
if (!bmap->n_div)
return 0;
if (!*div_map)
*div_map = isl_alloc_array(bmap->ctx, int, bmap->n_div);
if (!*div_map)
return -1;
total = isl_basic_map_total_dim(tab->bmap);
dim = total - tab->bmap->n_div;
vec = isl_vec_alloc(bmap->ctx, 2 + total + bmap->n_div);
if (!vec)
return -1;
for (i = 0; i < bmap->n_div; ++i) {
isl_seq_cpy(vec->el, bmap->div[i], 2 + dim);
isl_seq_clr(vec->el + 2 + dim, tab->bmap->n_div);
for (j = 0; j < i; ++j)
isl_int_set(vec->el[2 + dim + (*div_map)[j]],
bmap->div[i][2 + dim + j]);
for (j = 0; j < tab->bmap->n_div; ++j)
if (isl_seq_eq(tab->bmap->div[j],
vec->el, 2 + dim + tab->bmap->n_div))
break;
(*div_map)[i] = j;
if (j == tab->bmap->n_div) {
vec->size = 2 + dim + tab->bmap->n_div;
if (isl_tab_add_div(tab, vec) < 0)
goto error;
}
}
isl_vec_free(vec);
return 0;
error:
isl_vec_free(vec);
return -1;
}
enum isl_lp_result isl_pip_solve_lp(struct isl_basic_map *bmap, int maximize,
isl_int *f, isl_int denom, isl_int *opt,
isl_int *opt_denom,
struct isl_vec **vec)
{
enum isl_lp_result res = isl_lp_ok;
PipMatrix *domain = NULL;
PipOptions *options;
PipQuast *sol;
unsigned total;
total = isl_basic_map_total_dim(bmap);
domain = isl_basic_map_to_pip(bmap, 0, 1, 0);
if (!domain)
goto error;
entier_set_si(domain->p[0][1], -1);
isl_int_set(domain->p[0][domain->NbColumns - 1], f[0]);
isl_seq_cpy_to_pip(domain->p[0]+2, f+1, total);
options = pip_options_init();
if (!options)
goto error;
options->Urs_unknowns = -1;
options->Maximize = maximize;
options->Nq = 0;
sol = pip_solve(domain, NULL, -1, options);
pip_options_free(options);
if (!sol)
goto error;
if (vec) {
isl_ctx *ctx = isl_basic_map_get_ctx(bmap);
*vec = isl_vec_alloc(ctx, 1 + total);
}
if (vec && !*vec)
res = isl_lp_error;
else if (!sol->list)
res = isl_lp_empty;
else if (entier_zero_p(sol->list->vector->the_deno[0]))
res = isl_lp_unbounded;
else
copy_solution(*vec, maximize, opt, opt_denom, sol);
pip_matrix_free(domain);
pip_quast_free(sol);
return res;
error:
if (domain)
pip_matrix_free(domain);
return isl_lp_error;
}