declare isl_pw_multi_aff_project_domain_on_params
[platform/upstream/isl.git] / isl_affine_hull.c
index cc4baf0..250195b 100644 (file)
@@ -7,12 +7,12 @@
  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
  */
 
-#include "isl_ctx.h"
-#include "isl_seq.h"
-#include "isl_set.h"
-#include "isl_lp.h"
-#include "isl_map.h"
-#include "isl_map_private.h"
+#include <isl_ctx_private.h>
+#include <isl_map_private.h>
+#include <isl/seq.h>
+#include <isl/set.h>
+#include <isl/lp.h>
+#include <isl/map.h>
 #include "isl_equalities.h"
 #include "isl_sample.h"
 #include "isl_tab.h"
@@ -34,7 +34,7 @@ struct isl_basic_map *isl_basic_map_implicit_equalities(
        if (bmap->n_ineq <= 1)
                return bmap;
 
-       tab = isl_tab_from_basic_map(bmap);
+       tab = isl_tab_from_basic_map(bmap, 0);
        if (isl_tab_detect_implicit_equalities(tab) < 0)
                goto error;
        bmap = isl_basic_map_update_from_tab(bmap, tab);
@@ -353,6 +353,72 @@ error:
        return NULL;
 }
 
+/* Move "sample" to a point that is one up (or down) from the original
+ * point in dimension "pos".
+ */
+static void adjacent_point(__isl_keep isl_vec *sample, int pos, int up)
+{
+       if (up)
+               isl_int_add_ui(sample->el[1 + pos], sample->el[1 + pos], 1);
+       else
+               isl_int_sub_ui(sample->el[1 + pos], sample->el[1 + pos], 1);
+}
+
+/* Check if any points that are adjacent to "sample" also belong to "bset".
+ * If so, add them to "hull" and return the updated hull.
+ *
+ * Before checking whether and adjacent point belongs to "bset", we first
+ * check whether it already belongs to "hull" as this test is typically
+ * much cheaper.
+ */
+static __isl_give isl_basic_set *add_adjacent_points(
+       __isl_take isl_basic_set *hull, __isl_take isl_vec *sample,
+       __isl_keep isl_basic_set *bset)
+{
+       int i, up;
+       int dim;
+
+       if (!sample)
+               goto error;
+
+       dim = isl_basic_set_dim(hull, isl_dim_set);
+
+       for (i = 0; i < dim; ++i) {
+               for (up = 0; up <= 1; ++up) {
+                       int contains;
+                       isl_basic_set *point;
+
+                       adjacent_point(sample, i, up);
+                       contains = isl_basic_set_contains(hull, sample);
+                       if (contains < 0)
+                               goto error;
+                       if (contains) {
+                               adjacent_point(sample, i, !up);
+                               continue;
+                       }
+                       contains = isl_basic_set_contains(bset, sample);
+                       if (contains < 0)
+                               goto error;
+                       if (contains) {
+                               point = isl_basic_set_from_vec(
+                                                       isl_vec_copy(sample));
+                               hull = affine_hull(hull, point);
+                       }
+                       adjacent_point(sample, i, !up);
+                       if (contains)
+                               break;
+               }
+       }
+
+       isl_vec_free(sample);
+
+       return hull;
+error:
+       isl_vec_free(sample);
+       isl_basic_set_free(hull);
+       return NULL;
+}
+
 /* Extend an initial (under-)approximation of the affine hull of basic
  * set represented by the tableau "tab"
  * by looking for points that do not satisfy one of the equalities
@@ -361,9 +427,13 @@ error:
  *
  * The caller of this function ensures that "tab" is bounded or
  * that tab->basis and tab->n_unbounded have been set appropriately.
+ *
+ * "bset" may be either NULL or the basic set represented by "tab".
+ * If "bset" is not NULL, we check for any point we find if any
+ * of its adjacent points also belong to "bset".
  */
-static struct isl_basic_set *extend_affine_hull(struct isl_tab *tab,
-       struct isl_basic_set *hull)
+static __isl_give isl_basic_set *extend_affine_hull(struct isl_tab *tab,
+       __isl_take isl_basic_set *hull, __isl_keep isl_basic_set *bset)
 {
        int i, j;
        unsigned dim;
@@ -402,6 +472,9 @@ static struct isl_basic_set *extend_affine_hull(struct isl_tab *tab,
                        tab = isl_tab_add_sample(tab, isl_vec_copy(sample));
                if (!tab)
                        goto error;
+               if (bset)
+                       hull = add_adjacent_points(hull, isl_vec_copy(sample),
+                                                   bset);
                point = isl_basic_set_from_vec(sample);
                hull = affine_hull(hull, point);
                if (!hull)
@@ -445,6 +518,20 @@ __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
        return bset;
 }
 
+/* Construct an initial underapproximatino of the hull of "bset"
+ * from "sample" and any of its adjacent points that also belong to "bset".
+ */
+static __isl_give isl_basic_set *initialize_hull(__isl_keep isl_basic_set *bset,
+       __isl_take isl_vec *sample)
+{
+       isl_basic_set *hull;
+
+       hull = isl_basic_set_from_vec(isl_vec_copy(sample));
+       hull = add_adjacent_points(hull, sample, bset);
+
+       return hull;
+}
+
 /* Look for all equalities satisfied by the integer points in bset,
  * which is assumed to be bounded.
  *
@@ -461,7 +548,7 @@ static struct isl_basic_set *uset_affine_hull_bounded(struct isl_basic_set *bset
        struct isl_tab *tab = NULL;
        unsigned dim;
 
-       if (isl_basic_set_fast_is_empty(bset))
+       if (isl_basic_set_plain_is_empty(bset))
                return bset;
 
        dim = isl_basic_set_n_dim(bset);
@@ -480,7 +567,7 @@ static struct isl_basic_set *uset_affine_hull_bounded(struct isl_basic_set *bset
                }
        }
 
-       tab = isl_tab_from_basic_set(bset);
+       tab = isl_tab_from_basic_set(bset, 1);
        if (!tab)
                goto error;
        if (tab->empty) {
@@ -488,8 +575,6 @@ static struct isl_basic_set *uset_affine_hull_bounded(struct isl_basic_set *bset
                isl_vec_free(sample);
                return isl_basic_set_set_to_empty(bset);
        }
-       if (isl_tab_track_bset(tab, isl_basic_set_copy(bset)) < 0)
-               goto error;
 
        if (!sample) {
                struct isl_tab_undo *snap;
@@ -509,10 +594,10 @@ static struct isl_basic_set *uset_affine_hull_bounded(struct isl_basic_set *bset
                return isl_basic_set_set_to_empty(bset);
        }
 
-       hull = isl_basic_set_from_vec(sample);
+       hull = initialize_hull(bset, sample);
 
+       hull = extend_affine_hull(tab, hull, bset);
        isl_basic_set_free(bset);
-       hull = extend_affine_hull(tab, hull);
        isl_tab_free(tab);
 
        return hull;
@@ -524,7 +609,7 @@ error:
 }
 
 /* Given an unbounded tableau and an integer point satisfying the tableau,
- * construct an intial affine hull containing the recession cone
+ * construct an initial affine hull containing the recession cone
  * shifted to the given point.
  *
  * The unbounded directions are taken from the last rows of the basis,
@@ -576,7 +661,7 @@ error:
  * isl_tab_set_initial_basis_with_cone will add some additional
  * constraints to the tableau that have to be removed again.
  * In this case, we therefore rollback to the state before
- * any constraints were added and then add the eqaulities back in.
+ * any constraints were added and then add the equalities back in.
  */
 struct isl_tab *isl_tab_detect_equalities(struct isl_tab *tab,
        struct isl_tab *tab_cone)
@@ -624,7 +709,7 @@ struct isl_tab *isl_tab_detect_equalities(struct isl_tab *tab,
 
        isl_vec_free(sample);
 
-       hull = extend_affine_hull(tab, hull);
+       hull = extend_affine_hull(tab, hull, NULL);
        if (!hull)
                goto error;
 
@@ -697,7 +782,7 @@ static struct isl_basic_set *affine_hull_with_cone(struct isl_basic_set *bset,
        total = isl_basic_set_total_dim(cone);
        cone_dim = total - cone->n_eq;
 
-       M = isl_mat_sub_alloc(bset->ctx, cone->eq, 0, cone->n_eq, 1, total);
+       M = isl_mat_sub_alloc6(bset->ctx, cone->eq, 0, cone->n_eq, 1, total);
        M = isl_mat_left_hermite(M, 0, &U, &Q);
        if (!M)
                goto error;
@@ -764,7 +849,7 @@ static struct isl_basic_set *uset_affine_hull(struct isl_basic_set *bset)
 {
        struct isl_basic_set *cone;
 
-       if (isl_basic_set_fast_is_empty(bset))
+       if (isl_basic_set_plain_is_empty(bset))
                return bset;
 
        cone = isl_basic_set_recession_cone(isl_basic_set_copy(bset));
@@ -873,7 +958,7 @@ struct isl_basic_map *isl_basic_map_detect_equalities(
                isl_basic_set_free(hull);
                return isl_basic_map_set_to_empty(bmap);
        }
-       bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim), 0,
+       bmap = isl_basic_map_extend_space(bmap, isl_space_copy(bmap->dim), 0,
                                        hull->n_eq, 0);
        for (i = 0; i < hull->n_eq; ++i) {
                j = isl_basic_map_alloc_equality(bmap);
@@ -901,7 +986,8 @@ __isl_give isl_basic_set *isl_basic_set_detect_equalities(
                isl_basic_map_detect_equalities((isl_basic_map *)bset);
 }
 
-struct isl_map *isl_map_detect_equalities(struct isl_map *map)
+__isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
+       __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap))
 {
        struct isl_basic_map *bmap;
        int i;
@@ -911,7 +997,7 @@ struct isl_map *isl_map_detect_equalities(struct isl_map *map)
 
        for (i = 0; i < map->n; ++i) {
                bmap = isl_basic_map_copy(map->p[i]);
-               bmap = isl_basic_map_detect_equalities(bmap);
+               bmap = fn(bmap);
                if (!bmap)
                        goto error;
                isl_basic_map_free(map->p[i]);
@@ -924,6 +1010,12 @@ error:
        return NULL;
 }
 
+__isl_give isl_map *isl_map_detect_equalities(__isl_take isl_map *map)
+{
+       return isl_map_inline_foreach_basic_map(map,
+                                           &isl_basic_map_detect_equalities);
+}
+
 __isl_give isl_set *isl_set_detect_equalities(__isl_take isl_set *set)
 {
        return (isl_set *)isl_map_detect_equalities((isl_map *)set);
@@ -939,6 +1031,7 @@ struct isl_basic_map *isl_basic_map_affine_hull(struct isl_basic_map *bmap)
        bmap = isl_basic_map_cow(bmap);
        if (bmap)
                isl_basic_map_free_inequality(bmap, bmap->n_ineq);
+       bmap = isl_basic_map_finalize(bmap);
        return bmap;
 }