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#include <isl_map_private.h>
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#include <isl_point_private.h>
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#include <isl/union_set.h>
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#include <isl_sample.h>
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#include <isl_space_private.h>
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#include <isl_val_private.h>
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#include <isl_vec_private.h>
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#include <isl_output_private.h>
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#include <set_to_map.c>
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isl_ctx *isl_point_get_ctx(__isl_keep isl_point *pnt)
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return pnt ? isl_space_get_ctx(pnt->dim) : NULL;
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__isl_give isl_space *isl_point_get_space(__isl_keep isl_point *pnt)
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return pnt ? isl_space_copy(pnt->dim) : NULL;
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__isl_give isl_point *isl_point_alloc(__isl_take isl_space *dim,
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__isl_take isl_vec *vec)
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struct isl_point *pnt;
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if (vec->size > 1 + isl_space_dim(dim, isl_dim_all)) {
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vec = isl_vec_cow(vec);
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vec->size = 1 + isl_space_dim(dim, isl_dim_all);
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pnt = isl_alloc_type(dim->ctx, struct isl_point);
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__isl_give isl_point *isl_point_zero(__isl_take isl_space *dim)
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vec = isl_vec_alloc(dim->ctx, 1 + isl_space_dim(dim, isl_dim_all));
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isl_int_set_si(vec->el[0], 1);
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isl_seq_clr(vec->el + 1, vec->size - 1);
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return isl_point_alloc(dim, vec);
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__isl_give isl_point *isl_point_dup(__isl_keep isl_point *pnt)
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struct isl_point *pnt2;
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pnt2 = isl_point_alloc(isl_space_copy(pnt->dim), isl_vec_copy(pnt->vec));
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__isl_give isl_point *isl_point_cow(__isl_take isl_point *pnt)
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struct isl_point *pnt2;
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pnt2 = isl_point_dup(pnt);
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__isl_give isl_point *isl_point_copy(__isl_keep isl_point *pnt)
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__isl_null isl_point *isl_point_free(__isl_take isl_point *pnt)
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isl_space_free(pnt->dim);
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isl_vec_free(pnt->vec);
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__isl_give isl_point *isl_point_void(__isl_take isl_space *dim)
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return isl_point_alloc(dim, isl_vec_alloc(dim->ctx, 0));
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isl_bool isl_point_is_void(__isl_keep isl_point *pnt)
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return isl_bool_error;
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return pnt->vec->size == 0;
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/* Return the value of coordinate "pos" of type "type" of "pnt".
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__isl_give isl_val *isl_point_get_coordinate_val(__isl_keep isl_point *pnt,
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enum isl_dim_type type, int pos)
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ctx = isl_point_get_ctx(pnt);
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if (isl_point_is_void(pnt))
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isl_die(ctx, isl_error_invalid,
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"void point does not have coordinates", return NULL);
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if (pos < 0 || pos >= isl_space_dim(pnt->dim, type))
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isl_die(ctx, isl_error_invalid,
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"position out of bounds", return NULL);
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if (type == isl_dim_set)
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pos += isl_space_dim(pnt->dim, isl_dim_param);
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v = isl_val_rat_from_isl_int(ctx, pnt->vec->el[1 + pos],
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return isl_val_normalize(v);
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/* Replace coordinate "pos" of type "type" of "pnt" by "v".
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__isl_give isl_point *isl_point_set_coordinate_val(__isl_take isl_point *pnt,
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enum isl_dim_type type, int pos, __isl_take isl_val *v)
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if (isl_point_is_void(pnt))
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isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
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"void point does not have coordinates", goto error);
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if (pos < 0 || pos >= isl_space_dim(pnt->dim, type))
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isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
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"position out of bounds", goto error);
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if (!isl_val_is_rat(v))
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isl_die(isl_point_get_ctx(pnt), isl_error_invalid,
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"expecting rational value", goto error);
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if (isl_int_eq(pnt->vec->el[1 + pos], v->n) &&
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isl_int_eq(pnt->vec->el[0], v->d)) {
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pnt = isl_point_cow(pnt);
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pnt->vec = isl_vec_cow(pnt->vec);
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if (isl_int_eq(pnt->vec->el[0], v->d)) {
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isl_int_set(pnt->vec->el[1 + pos], v->n);
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} else if (isl_int_is_one(v->d)) {
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isl_int_mul(pnt->vec->el[1 + pos], pnt->vec->el[0], v->n);
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isl_seq_scale(pnt->vec->el + 1,
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pnt->vec->el + 1, v->d, pnt->vec->size - 1);
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isl_int_mul(pnt->vec->el[1 + pos], pnt->vec->el[0], v->n);
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isl_int_mul(pnt->vec->el[0], pnt->vec->el[0], v->d);
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pnt->vec = isl_vec_normalize(pnt->vec);
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__isl_give isl_point *isl_point_add_ui(__isl_take isl_point *pnt,
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enum isl_dim_type type, int pos, unsigned val)
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if (!pnt || isl_point_is_void(pnt))
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pnt = isl_point_cow(pnt);
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pnt->vec = isl_vec_cow(pnt->vec);
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if (type == isl_dim_set)
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pos += isl_space_dim(pnt->dim, isl_dim_param);
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isl_int_add_ui(pnt->vec->el[1 + pos], pnt->vec->el[1 + pos], val);
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__isl_give isl_point *isl_point_sub_ui(__isl_take isl_point *pnt,
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enum isl_dim_type type, int pos, unsigned val)
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if (!pnt || isl_point_is_void(pnt))
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pnt = isl_point_cow(pnt);
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pnt->vec = isl_vec_cow(pnt->vec);
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if (type == isl_dim_set)
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pos += isl_space_dim(pnt->dim, isl_dim_param);
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isl_int_sub_ui(pnt->vec->el[1 + pos], pnt->vec->el[1 + pos], val);
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struct isl_foreach_point {
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struct isl_scan_callback callback;
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isl_stat (*fn)(__isl_take isl_point *pnt, void *user);
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static isl_stat foreach_point(struct isl_scan_callback *cb,
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__isl_take isl_vec *sample)
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struct isl_foreach_point *fp = (struct isl_foreach_point *)cb;
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pnt = isl_point_alloc(isl_space_copy(fp->dim), sample);
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return fp->fn(pnt, fp->user);
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isl_stat isl_set_foreach_point(__isl_keep isl_set *set,
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isl_stat (*fn)(__isl_take isl_point *pnt, void *user), void *user)
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struct isl_foreach_point fp = { { &foreach_point }, fn, user };
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return isl_stat_error;
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fp.dim = isl_set_get_space(set);
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return isl_stat_error;
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set = isl_set_copy(set);
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set = isl_set_cow(set);
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set = isl_set_make_disjoint(set);
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set = isl_set_compute_divs(set);
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for (i = 0; i < set->n; ++i)
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if (isl_basic_set_scan(isl_basic_set_copy(set->p[i]),
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isl_space_free(fp.dim);
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isl_space_free(fp.dim);
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return isl_stat_error;
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/* Return 1 if "bmap" contains the point "point".
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* "bmap" is assumed to have known divs.
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* The point is first extended with the divs and then passed
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* to basic_map_contains.
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isl_bool isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
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__isl_keep isl_point *point)
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return isl_bool_error;
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isl_assert(bmap->ctx, isl_space_is_equal(bmap->dim, point->dim),
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return isl_bool_error);
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if (bmap->n_div == 0)
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return isl_basic_map_contains(bmap, point->vec);
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dim = isl_basic_map_total_dim(bmap) - bmap->n_div;
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vec = isl_vec_alloc(bmap->ctx, 1 + dim + bmap->n_div);
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return isl_bool_error;
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isl_seq_cpy(vec->el, point->vec->el, point->vec->size);
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for (i = 0; i < bmap->n_div; ++i) {
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isl_seq_inner_product(bmap->div[i] + 1, vec->el,
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1 + dim + i, &vec->el[1+dim+i]);
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isl_int_fdiv_q(vec->el[1+dim+i], vec->el[1+dim+i],
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contains = isl_basic_map_contains(bmap, vec);
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isl_bool isl_map_contains_point(__isl_keep isl_map *map,
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__isl_keep isl_point *point)
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isl_bool found = isl_bool_false;
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return isl_bool_error;
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map = isl_map_copy(map);
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map = isl_map_compute_divs(map);
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return isl_bool_error;
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for (i = 0; i < map->n; ++i) {
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found = isl_basic_map_contains_point(map->p[i], point);
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return isl_bool_error;
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isl_bool isl_set_contains_point(__isl_keep isl_set *set,
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__isl_keep isl_point *point)
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return isl_map_contains_point(set_to_map(set), point);
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__isl_give isl_basic_set *isl_basic_set_from_point(__isl_take isl_point *pnt)
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isl_basic_set *model;
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model = isl_basic_set_empty(isl_space_copy(pnt->dim));
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bset = isl_basic_set_from_vec(isl_vec_copy(pnt->vec));
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bset = isl_basic_set_from_underlying_set(bset, model);
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__isl_give isl_set *isl_set_from_point(__isl_take isl_point *pnt)
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bset = isl_basic_set_from_point(pnt);
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return isl_set_from_basic_set(bset);
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/* Construct a union set, containing the single element "pnt".
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* If "pnt" is void, then return an empty union set.
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__isl_give isl_union_set *isl_union_set_from_point(__isl_take isl_point *pnt)
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if (isl_point_is_void(pnt)) {
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space = isl_point_get_space(pnt);
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return isl_union_set_empty(space);
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return isl_union_set_from_set(isl_set_from_point(pnt));
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__isl_give isl_basic_set *isl_basic_set_box_from_points(
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__isl_take isl_point *pnt1, __isl_take isl_point *pnt2)
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isl_basic_set *bset = NULL;
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isl_assert(pnt1->dim->ctx,
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isl_space_is_equal(pnt1->dim, pnt2->dim), goto error);
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if (isl_point_is_void(pnt1) && isl_point_is_void(pnt2)) {
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isl_space *dim = isl_space_copy(pnt1->dim);
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isl_point_free(pnt1);
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isl_point_free(pnt2);
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return isl_basic_set_empty(dim);
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if (isl_point_is_void(pnt1)) {
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isl_point_free(pnt1);
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return isl_basic_set_from_point(pnt2);
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if (isl_point_is_void(pnt2)) {
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isl_point_free(pnt2);
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return isl_basic_set_from_point(pnt1);
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total = isl_space_dim(pnt1->dim, isl_dim_all);
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bset = isl_basic_set_alloc_space(isl_space_copy(pnt1->dim), 0, 0, 2 * total);
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for (i = 0; i < total; ++i) {
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isl_int_mul(t, pnt1->vec->el[1 + i], pnt2->vec->el[0]);
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isl_int_submul(t, pnt2->vec->el[1 + i], pnt1->vec->el[0]);
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k = isl_basic_set_alloc_inequality(bset);
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isl_seq_clr(bset->ineq[k] + 1, total);
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if (isl_int_is_pos(t)) {
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isl_int_set_si(bset->ineq[k][1 + i], -1);
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isl_int_set(bset->ineq[k][0], pnt1->vec->el[1 + i]);
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isl_int_set_si(bset->ineq[k][1 + i], 1);
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isl_int_neg(bset->ineq[k][0], pnt1->vec->el[1 + i]);
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isl_int_fdiv_q(bset->ineq[k][0], bset->ineq[k][0], pnt1->vec->el[0]);
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k = isl_basic_set_alloc_inequality(bset);
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isl_seq_clr(bset->ineq[k] + 1, total);
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if (isl_int_is_pos(t)) {
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isl_int_set_si(bset->ineq[k][1 + i], 1);
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isl_int_neg(bset->ineq[k][0], pnt2->vec->el[1 + i]);
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isl_int_set_si(bset->ineq[k][1 + i], -1);
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isl_int_set(bset->ineq[k][0], pnt2->vec->el[1 + i]);
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isl_int_fdiv_q(bset->ineq[k][0], bset->ineq[k][0], pnt2->vec->el[0]);
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bset = isl_basic_set_finalize(bset);
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isl_point_free(pnt1);
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isl_point_free(pnt2);
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isl_point_free(pnt1);
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isl_point_free(pnt2);
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isl_basic_set_free(bset);
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__isl_give isl_set *isl_set_box_from_points(__isl_take isl_point *pnt1,
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__isl_take isl_point *pnt2)
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bset = isl_basic_set_box_from_points(pnt1, pnt2);
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return isl_set_from_basic_set(bset);
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/* Print the coordinate at position "pos" of the point "pnt".
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static __isl_give isl_printer *print_coordinate(__isl_take isl_printer *p,
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struct isl_print_space_data *data, unsigned pos)
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isl_point *pnt = data->user;
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p = isl_printer_print_isl_int(p, pnt->vec->el[1 + pos]);
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if (!isl_int_is_one(pnt->vec->el[0])) {
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p = isl_printer_print_str(p, "/");
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p = isl_printer_print_isl_int(p, pnt->vec->el[0]);
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__isl_give isl_printer *isl_printer_print_point(
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__isl_take isl_printer *p, __isl_keep isl_point *pnt)
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struct isl_print_space_data data = { 0 };
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if (isl_point_is_void(pnt)) {
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p = isl_printer_print_str(p, "void");
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nparam = isl_space_dim(pnt->dim, isl_dim_param);
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p = isl_printer_print_str(p, "[");
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for (i = 0; i < nparam; ++i) {
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p = isl_printer_print_str(p, ", ");
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name = isl_space_get_dim_name(pnt->dim, isl_dim_param, i);
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p = isl_printer_print_str(p, name);
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p = isl_printer_print_str(p, " = ");
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p = isl_printer_print_isl_int(p, pnt->vec->el[1 + i]);
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if (!isl_int_is_one(pnt->vec->el[0])) {
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p = isl_printer_print_str(p, "/");
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p = isl_printer_print_isl_int(p, pnt->vec->el[0]);
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p = isl_printer_print_str(p, "]");
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p = isl_printer_print_str(p, " -> ");
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data.print_dim = &print_coordinate;
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p = isl_printer_print_str(p, "{ ");
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p = isl_print_space(pnt->dim, p, 0, &data);
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p = isl_printer_print_str(p, " }");