Merge branch 'maint'
[platform/upstream/isl.git] / isl_output.c
index e755c3d..ec2d664 100644 (file)
  * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France 
  */
 
+#include <stdlib.h>
 #include <string.h>
-#include <isl_set.h>
-#include <isl_seq.h>
+#include <isl_ctx_private.h>
+#include <isl_map_private.h>
+#include <isl/set.h>
+#include <isl/seq.h>
 #include <isl_polynomial_private.h>
 #include <isl_printer_private.h>
+#include <isl_dim_private.h>
+#include <isl_mat_private.h>
+#include <isl/union_map.h>
+#include <isl/constraint.h>
+#include <isl_local_space_private.h>
+#include <isl_aff_private.h>
 
 static const char *s_to[2] = { " -> ", " \\to " };
 static const char *s_and[2] = { " and ", " \\wedge " };
@@ -88,25 +97,39 @@ static __isl_give isl_printer *bset_print_constraints_polylib(
 }
 
 static __isl_give isl_printer *isl_basic_map_print_polylib(
-       __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
+       __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int ext)
 {
        unsigned total = isl_basic_map_total_dim(bmap);
        p = isl_printer_start_line(p);
        p = isl_printer_print_int(p, bmap->n_eq + bmap->n_ineq);
        p = isl_printer_print_str(p, " ");
        p = isl_printer_print_int(p, 1 + total + 1);
+       if (ext) {
+               p = isl_printer_print_str(p, " ");
+               p = isl_printer_print_int(p,
+                                   isl_basic_map_dim(bmap, isl_dim_out));
+               p = isl_printer_print_str(p, " ");
+               p = isl_printer_print_int(p,
+                                   isl_basic_map_dim(bmap, isl_dim_in));
+               p = isl_printer_print_str(p, " ");
+               p = isl_printer_print_int(p,
+                                   isl_basic_map_dim(bmap, isl_dim_div));
+               p = isl_printer_print_str(p, " ");
+               p = isl_printer_print_int(p,
+                                   isl_basic_map_dim(bmap, isl_dim_param));
+       }
        p = isl_printer_end_line(p);
        return print_constraints_polylib(bmap, p);
 }
 
 static __isl_give isl_printer *isl_basic_set_print_polylib(
-       __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
+       __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int ext)
 {
-       return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p);
+       return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p, ext);
 }
 
 static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
-       __isl_take isl_printer *p)
+       __isl_take isl_printer *p, int ext)
 {
        int i;
 
@@ -116,15 +139,15 @@ static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
        for (i = 0; i < map->n; ++i) {
                p = isl_printer_start_line(p);
                p = isl_printer_end_line(p);
-               p = isl_basic_map_print_polylib(map->p[i], p);
+               p = isl_basic_map_print_polylib(map->p[i], p, ext);
        }
        return p;
 }
 
 static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set,
-       __isl_take isl_printer *p)
+       __isl_take isl_printer *p, int ext)
 {
-       return isl_map_print_polylib((struct isl_map *)set, p);
+       return isl_map_print_polylib((struct isl_map *)set, p, ext);
 }
 
 static int count_same_name(__isl_keep isl_dim *dim,
@@ -176,45 +199,6 @@ static __isl_give isl_printer *print_name(__isl_keep isl_dim *dim,
        return p;
 }
 
-static __isl_give isl_printer *print_var_list(__isl_keep isl_dim *dim,
-       __isl_take isl_printer *p, enum isl_dim_type type, int set, int latex)
-{
-       int i;
-
-       for (i = 0; i < isl_dim_size(dim, type); ++i) {
-               if (i)
-                       p = isl_printer_print_str(p, ", ");
-               p = print_name(dim, p, type, i, set, latex);
-       }
-       return p;
-}
-
-static __isl_give isl_printer *print_tuple(__isl_keep isl_dim *dim,
-       __isl_take isl_printer *p, enum isl_dim_type type, int set, int latex)
-{
-       unsigned n = isl_dim_size(dim, type);
-       if (!latex || n != 1)
-               p = isl_printer_print_str(p, s_open_list[latex]);
-       p = print_var_list(dim, p, type, set, latex);
-       if (!latex || n != 1)
-               p = isl_printer_print_str(p, s_close_list[latex]);
-       return p;
-}
-
-static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_dim *dim,
-       __isl_take isl_printer *p)
-{
-       if (isl_dim_size(dim, isl_dim_param) == 0)
-               return p;
-
-       p = isl_printer_start_line(p);
-       p = isl_printer_print_str(p, "symbolic ");
-       p = print_var_list(dim, p, isl_dim_param, 0, 0);
-       p = isl_printer_print_str(p, ";");
-       p = isl_printer_end_line(p);
-       return p;
-}
-
 static enum isl_dim_type pos2type(__isl_keep isl_dim *dim, unsigned *pos)
 {
        enum isl_dim_type type;
@@ -239,26 +223,41 @@ static enum isl_dim_type pos2type(__isl_keep isl_dim *dim, unsigned *pos)
        return type;
 }
 
+static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
+       __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p);
+
 static __isl_give isl_printer *print_term(__isl_keep isl_dim *dim,
+       __isl_keep isl_mat *div,
        isl_int c, unsigned pos, __isl_take isl_printer *p, int set, int latex)
 {
        enum isl_dim_type type;
+       int print_div_def;
 
        if (pos == 0)
                return isl_printer_print_isl_int(p, c);
 
+       type = pos2type(dim, &pos);
+       print_div_def = type == isl_dim_div && div &&
+                       !isl_int_is_zero(div->row[pos][0]);
+
        if (isl_int_is_one(c))
                ;
        else if (isl_int_is_negone(c))
                p = isl_printer_print_str(p, "-");
-       else
+       else {
                p = isl_printer_print_isl_int(p, c);
-       type = pos2type(dim, &pos);
-       p = print_name(dim, p, type, pos, set, latex);
+               if (p->output_format == ISL_FORMAT_C || print_div_def)
+                       p = isl_printer_print_str(p, "*");
+       }
+       if (print_div_def)
+               p = print_div(dim, div, pos, p);
+       else
+               p = print_name(dim, p, type, pos, set, latex);
        return p;
 }
 
 static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_dim *dim,
+       __isl_keep isl_mat *div,
        __isl_take isl_printer *p, isl_int *c, int len, int set)
 {
        int i;
@@ -277,7 +276,7 @@ static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_dim *dim,
                                p = isl_printer_print_str(p, " + ");
                }
                first = 0;
-               p = print_term(dim, c[i], i, p, set, 0);
+               p = print_term(dim, div, c[i], i, p, set, 0);
                if (flip)
                        isl_int_neg(c[i], c[i]);
        }
@@ -290,7 +289,157 @@ static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap,
        __isl_keep isl_dim *dim, __isl_take isl_printer *p, isl_int *c, int set)
 {
        unsigned len = 1 + isl_basic_map_total_dim(bmap);
-       return print_affine_of_len(dim, p, c, len, set);
+       return print_affine_of_len(dim, NULL, p, c, len, set);
+}
+
+static int defining_equality(__isl_keep isl_basic_map *eq,
+       __isl_keep isl_dim *dim, enum isl_dim_type type, int pos)
+{
+       int i;
+       unsigned total;
+
+       if (!eq)
+               return -1;
+
+       pos += isl_dim_offset(dim, type);
+       total = isl_basic_map_total_dim(eq);
+
+       for (i = 0; i < eq->n_eq; ++i) {
+               if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos)
+                       continue;
+               if (isl_int_is_one(eq->eq[i][1 + pos]))
+                       isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total);
+               return i;
+       }
+
+       return -1;
+}
+
+/* offset is the offset of local_dim inside global_type of global_dim.
+ */
+static __isl_give isl_printer *print_nested_var_list(__isl_take isl_printer *p,
+       __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
+       __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
+       int set, int latex, __isl_keep isl_basic_map *eq, int offset)
+{
+       int i, j;
+
+       if (global_dim != local_dim && local_type == isl_dim_out)
+               offset += local_dim->n_in;
+
+       for (i = 0; i < isl_dim_size(local_dim, local_type); ++i) {
+               if (i)
+                       p = isl_printer_print_str(p, ", ");
+               j = defining_equality(eq, global_dim, global_type, offset + i);
+               if (j >= 0) {
+                       int pos = 1 + isl_dim_offset(global_dim, global_type)
+                                   + offset + i;
+                       p = print_affine_of_len(eq->dim, NULL,
+                                               p, eq->eq[j], pos, set);
+               } else {
+                       p = print_name(global_dim, p, global_type, offset + i,
+                                       set, latex);
+               }
+       }
+       return p;
+}
+
+static __isl_give isl_printer *print_var_list(__isl_keep isl_dim *dim,
+       __isl_take isl_printer *p, enum isl_dim_type type,
+       int set, int latex, __isl_keep isl_basic_map *eq)
+{
+       return print_nested_var_list(p, dim, type, dim, type, set, latex, eq, 0);
+}
+
+static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
+       __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
+       __isl_keep isl_dim *local_dim,
+        int set, int latex, __isl_keep isl_basic_map *eq, int offset);
+
+static __isl_give isl_printer *print_nested_tuple(__isl_take isl_printer *p,
+       __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
+       __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
+       int set, int latex, __isl_keep isl_basic_map *eq, int offset)
+{
+       const char *name = NULL;
+       unsigned n = isl_dim_size(local_dim, local_type);
+       if ((local_type == isl_dim_in || local_type == isl_dim_out)) {
+               name = isl_dim_get_tuple_name(local_dim, local_type);
+               if (name) {
+                       if (latex)
+                               p = isl_printer_print_str(p, "\\mathrm{");
+                       p = isl_printer_print_str(p, name);
+                       if (latex)
+                               p = isl_printer_print_str(p, "}");
+               }
+       }
+       if (!latex || n != 1 || name)
+               p = isl_printer_print_str(p, s_open_list[latex]);
+       if ((local_type == isl_dim_in || local_type == isl_dim_out) &&
+           local_dim->nested[local_type - isl_dim_in]) {
+               if (global_dim != local_dim && local_type == isl_dim_out)
+                       offset += local_dim->n_in;
+               p = print_nested_map_dim(p, global_dim, global_type,
+                               local_dim->nested[local_type - isl_dim_in],
+                               set, latex, eq, offset);
+       } else
+               p = print_nested_var_list(p, global_dim, global_type,
+                                local_dim, local_type, set, latex, eq, offset);
+       if (!latex || n != 1 || name)
+               p = isl_printer_print_str(p, s_close_list[latex]);
+       return p;
+}
+
+static __isl_give isl_printer *print_tuple(__isl_keep isl_dim *dim,
+       __isl_take isl_printer *p, enum isl_dim_type type,
+       int set, int latex, __isl_keep isl_basic_map *eq)
+{
+       return print_nested_tuple(p, dim, type, dim, type, set, latex, eq, 0);
+}
+
+static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
+       __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
+       __isl_keep isl_dim *local_dim,
+        int set, int latex, __isl_keep isl_basic_map *eq, int offset)
+{
+       p = print_nested_tuple(p, global_dim, global_type,
+                       local_dim, isl_dim_in, set, latex, eq, offset);
+       p = isl_printer_print_str(p, s_to[latex]);
+       p = print_nested_tuple(p, global_dim, global_type,
+                       local_dim, isl_dim_out, set, latex, eq, offset);
+
+       return p;
+}
+
+static __isl_give isl_printer *print_dim(__isl_keep isl_dim *dim,
+       __isl_take isl_printer *p, int set, int latex, int rational,
+       __isl_keep isl_basic_map *eq)
+{
+       if (rational && !latex)
+               p = isl_printer_print_str(p, "rat: ");
+       if (set)
+               p = print_tuple(dim, p, isl_dim_set, 1, latex, eq);
+       else {
+               p = print_tuple(dim, p, isl_dim_in, 0, latex, eq);
+               p = isl_printer_print_str(p, s_to[latex]);
+               p = print_tuple(dim, p, isl_dim_out, 0, latex, eq);
+       }
+
+       return p;
+}
+
+static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_dim *dim,
+       __isl_take isl_printer *p)
+{
+       if (isl_dim_size(dim, isl_dim_param) == 0)
+               return p;
+
+       p = isl_printer_start_line(p);
+       p = isl_printer_print_str(p, "symbolic ");
+       p = print_var_list(dim, p, isl_dim_param, 0, 0, NULL);
+       p = isl_printer_print_str(p, ";");
+       p = isl_printer_end_line(p);
+       return p;
 }
 
 static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
@@ -303,7 +452,7 @@ static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
 
        isl_int_abs(c[last], c[last]);
 
-       p = print_term(dim, c[last], last, p, set, latex);
+       p = print_term(dim, NULL, c[last], last, p, set, latex);
 
        p = isl_printer_print_str(p, " ");
        p = isl_printer_print_str(p, op);
@@ -328,7 +477,12 @@ static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
 
        for (i = bmap->n_eq - 1; i >= 0; --i) {
                int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total);
-               isl_assert(bmap->ctx, l >= 0, goto error);
+               if (l < 0) {
+                       if (i != bmap->n_eq - 1)
+                               p = isl_printer_print_str(p, s_and[latex]);
+                       p = isl_printer_print_str(p, "0 = 0");
+                       continue;
+               }
                if (isl_int_is_neg(bmap->eq[i][l]))
                        isl_seq_cpy(c->el, bmap->eq[i], 1 + total);
                else
@@ -340,7 +494,8 @@ static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
                int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total);
                int s;
                const char *op;
-               isl_assert(bmap->ctx, l >= 0, goto error);
+               if (l < 0)
+                       continue;
                s = isl_int_sgn(bmap->ineq[i][l]);
                if (s < 0)
                        isl_seq_cpy(c->el, bmap->ineq[i], 1 + total);
@@ -355,6 +510,7 @@ static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
 
        return p;
 error:
+       isl_vec_free(c);
        isl_printer_free(p);
        return NULL;
 }
@@ -386,9 +542,9 @@ static __isl_give isl_printer *basic_map_print_omega(
        __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
 {
        p = isl_printer_print_str(p, "{ [");
-       p = print_var_list(bmap->dim, p, isl_dim_in, 0, 0);
+       p = print_var_list(bmap->dim, p, isl_dim_in, 0, 0, NULL);
        p = isl_printer_print_str(p, "] -> [");
-       p = print_var_list(bmap->dim, p, isl_dim_out, 0, 0);
+       p = print_var_list(bmap->dim, p, isl_dim_out, 0, 0, NULL);
        p = isl_printer_print_str(p, "] ");
        p = print_omega_constraints(bmap, p, 0);
        p = isl_printer_print_str(p, " }");
@@ -410,7 +566,7 @@ static __isl_give isl_printer *basic_set_print_omega(
        __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
 {
        p = isl_printer_print_str(p, "{ [");
-       p = print_var_list(bset->dim, p, isl_dim_set, 1, 0);
+       p = print_var_list(bset->dim, p, isl_dim_set, 1, 0, NULL);
        p = isl_printer_print_str(p, "] ");
        p = print_omega_constraints((isl_basic_map *)bset, p, 1);
        p = isl_printer_print_str(p, " }");
@@ -491,42 +647,19 @@ static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap,
 }
 
 static __isl_give isl_printer *isl_basic_map_print_isl(
-       __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int latex)
+       __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p,
+       int set, int latex)
 {
-       int i;
-
-       p = isl_printer_start_line(p);
+       int rational = ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL);
        if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
-               p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex);
-               p = isl_printer_print_str(p, " -> ");
-       }
-       p = isl_printer_print_str(p, "{ ");
-       p = print_tuple(bmap->dim, p, isl_dim_in, 0, latex);
-       p = isl_printer_print_str(p, " -> ");
-       p = print_tuple(bmap->dim, p, isl_dim_out, 0, latex);
-       p = isl_printer_print_str(p, " : ");
-       p = print_disjunct(bmap, bmap->dim, p, 0, latex);
-       p = isl_printer_print_str(p, " }");
-       p = isl_printer_end_line(p);
-       return p;
-}
-
-static __isl_give isl_printer *isl_basic_set_print_isl(
-       __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int latex)
-{
-       int i;
-
-       p = isl_printer_start_line(p);
-       if (isl_basic_set_dim(bset, isl_dim_param) > 0) {
-               p = print_tuple(bset->dim, p, isl_dim_param, 0, latex);
+               p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex, NULL);
                p = isl_printer_print_str(p, " -> ");
        }
        p = isl_printer_print_str(p, "{ ");
-       p = print_tuple(bset->dim, p, isl_dim_set, 1, latex);
+       p = print_dim(bmap->dim, p, set, latex, rational, NULL);
        p = isl_printer_print_str(p, " : ");
-       p = print_disjunct((isl_basic_map *)bset, bset->dim, p, 1, latex);
+       p = print_disjunct(bmap, bmap->dim, p, set, latex);
        p = isl_printer_print_str(p, " }");
-       p = isl_printer_end_line(p);
        return p;
 }
 
@@ -535,7 +668,7 @@ static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
 {
        int i;
 
-       if (isl_map_fast_is_universe(map))
+       if (isl_map_plain_is_universe(map))
                return p;
 
        p = isl_printer_print_str(p, s_such_that[latex]);
@@ -553,35 +686,236 @@ static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
        return p;
 }
 
+struct isl_aff_split {
+       isl_basic_map *aff;
+       isl_map *map;
+};
+
+static void free_split(__isl_take struct isl_aff_split *split, int n)
+{
+       int i;
+
+       if (!split)
+               return;
+
+       for (i = 0; i < n; ++i) {
+               isl_basic_map_free(split[i].aff);
+               isl_map_free(split[i].map);
+       }
+
+       free(split);
+}
+
+static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
+{
+       int i, j;
+       unsigned nparam, n_in, n_out, total;
+
+       bmap = isl_basic_map_cow(bmap);
+       if (!bmap)
+               return NULL;
+       if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
+               goto error;
+
+       nparam = isl_basic_map_dim(bmap, isl_dim_param);
+       n_in = isl_basic_map_dim(bmap, isl_dim_in);
+       n_out = isl_basic_map_dim(bmap, isl_dim_out);
+       total = isl_basic_map_dim(bmap, isl_dim_all);
+       for (i = bmap->n_eq - 1; i >= 0; --i) {
+               j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
+               if (j >= nparam && j < nparam + n_in + n_out &&
+                   (isl_int_is_one(bmap->eq[i][1 + j]) ||
+                    isl_int_is_negone(bmap->eq[i][1 + j])))
+                       continue;
+               if (isl_basic_map_drop_equality(bmap, i) < 0)
+                       goto error;
+       }
+
+       bmap = isl_basic_map_finalize(bmap);
+
+       return bmap;
+error:
+       isl_basic_map_free(bmap);
+       return NULL;
+}
+
+static int aff_split_cmp(const void *p1, const void *p2)
+{
+       const struct isl_aff_split *s1, *s2;
+       s1 = (const struct isl_aff_split *) p1;
+       s2 = (const struct isl_aff_split *) p2;
+
+       return isl_basic_map_plain_cmp(s1->aff, s2->aff);
+}
+
+static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
+       __isl_keep isl_basic_map *aff)
+{
+       int i, j;
+       unsigned total;
+
+       if (!bmap || !aff)
+               goto error;
+
+       total = isl_dim_total(bmap->dim);
+
+       for (i = bmap->n_eq - 1; i >= 0; --i) {
+               if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
+                                           bmap->n_div) != -1)
+                       continue;
+               for (j = 0; j < aff->n_eq; ++j) {
+                       if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
+                           !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
+                               continue;
+                       if (isl_basic_map_drop_equality(bmap, i) < 0)
+                               goto error;
+                       break;
+               }
+       }
+
+       return bmap;
+error:
+       isl_basic_map_free(bmap);
+       return NULL;
+}
+
+static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
+{
+       int i, n;
+       struct isl_aff_split *split;
+       isl_ctx *ctx;
+
+       ctx = isl_map_get_ctx(map);
+       split = isl_calloc_array(ctx, struct isl_aff_split, map->n);
+       if (!split)
+               return NULL;
+
+       for (i = 0; i < map->n; ++i) {
+               isl_basic_map *bmap;
+               split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
+               bmap = isl_basic_map_copy(map->p[i]);
+               bmap = isl_basic_map_cow(bmap);
+               bmap = drop_aff(bmap, split[i].aff);
+               split[i].map = isl_map_from_basic_map(bmap);
+               if (!split[i].aff || !split[i].map)
+                       goto error;
+       }
+
+       qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
+
+       n = map->n;
+       for (i = n - 1; i >= 1; --i) {
+               if (!isl_basic_map_plain_is_equal(split[i - 1].aff,
+                                                split[i].aff))
+                       continue;
+               isl_basic_map_free(split[i].aff);
+               split[i - 1].map = isl_map_union(split[i - 1].map,
+                                                split[i].map);
+               if (i != n - 1)
+                       split[i] = split[n - 1];
+               split[n - 1].aff = NULL;
+               split[n - 1].map = NULL;
+               --n;
+       }
+
+       return split;
+error:
+       free_split(split, map->n);
+       return NULL;
+}
+
+static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
+       struct isl_aff_split *split, int n, int set)
+{
+       int i;
+       int rational;
+
+       for (i = 0; i < n; ++i) {
+               isl_dim *dim;
+
+               if (!split[i].map)
+                       break;
+               dim = split[i].map->dim;
+               rational = split[i].map->n > 0 &&
+                   ISL_F_ISSET(split[i].map->p[0], ISL_BASIC_MAP_RATIONAL);
+               if (i)
+                       p = isl_printer_print_str(p, "; ");
+               p = print_dim(dim, p, set, 0, rational, split[i].aff);
+               p = print_disjuncts(split[i].map, p, set, 0);
+       }
+
+       return p;
+}
+
+static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
+       __isl_take isl_printer *p, int set)
+{
+       struct isl_aff_split *split = NULL;
+       int rational;
+
+       if (map->n > 0)
+               split = split_aff(map);
+       if (split) {
+               p = print_split_map(p, split, map->n, set);
+       } else {
+               rational = map->n > 0 &&
+                   ISL_F_ISSET(map->p[0], ISL_BASIC_MAP_RATIONAL);
+               p = print_dim(map->dim, p, set, 0, rational, NULL);
+               p = print_disjuncts(map, p, set, 0);
+       }
+       free_split(split, map->n);
+       return p;
+}
+
 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
-       __isl_take isl_printer *p, int latex)
+       __isl_take isl_printer *p, int set)
 {
        if (isl_map_dim(map, isl_dim_param) > 0) {
-               p = print_tuple(map->dim, p, isl_dim_param, 0, latex);
-               p = isl_printer_print_str(p, s_to[latex]);
+               p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
+               p = isl_printer_print_str(p, s_to[0]);
        }
-       p = isl_printer_print_str(p, s_open_set[latex]);
-       p = print_tuple(map->dim, p, isl_dim_in, 0, latex);
-       p = isl_printer_print_str(p, s_to[latex]);
-       p = print_tuple(map->dim, p, isl_dim_out, 0, latex);
-       p = print_disjuncts(map, p, 0, latex);
-       p = isl_printer_print_str(p, s_close_set[latex]);
+       p = isl_printer_print_str(p, s_open_set[0]);
+       p = isl_map_print_isl_body(map, p, set);
+       p = isl_printer_print_str(p, s_close_set[0]);
+       return p;
+}
+
+static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
+       __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
+{
+       if (isl_map_dim(map, isl_dim_param) > 0) {
+               p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
+               p = isl_printer_print_str(p, s_to[1]);
+       }
+       p = isl_printer_print_str(p, s_open_set[1]);
+       p = print_dim(map->dim, p, set, 1, 0, aff);
+       p = print_disjuncts(map, p, set, 1);
+       p = isl_printer_print_str(p, s_close_set[1]);
+
        return p;
 }
 
-static __isl_give isl_printer *isl_set_print_isl(__isl_keep isl_set *set,
-       __isl_take isl_printer *p, int latex)
+static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
+       __isl_take isl_printer *p, int set)
 {
        int i;
+       struct isl_aff_split *split = NULL;
 
-       if (isl_set_dim(set, isl_dim_param) > 0) {
-               p = print_tuple(set->dim, p, isl_dim_param, 0, latex);
-               p = isl_printer_print_str(p, " -> ");
+       if (map->n > 0)
+               split = split_aff(map);
+
+       if (!split)
+               return print_latex_map(map, p, NULL, set);
+
+       for (i = 0; i < map->n; ++i) {
+               if (!split[i].map)
+                       break;
+               if (i)
+                       p = isl_printer_print_str(p, " \\cup ");
+               p = print_latex_map(split[i].map, p, split[i].aff, set);
        }
-       p = isl_printer_print_str(p, "{ ");
-       p = print_tuple(set->dim, p, isl_dim_set, 1, latex);
-       p = print_disjuncts((isl_map *)set, p, 1, latex);
-       p = isl_printer_print_str(p, " }");
+
+       free_split(split, map->n);
        return p;
 }
 
@@ -591,7 +925,7 @@ __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
        if (!p || !bmap)
                goto error;
        if (p->output_format == ISL_FORMAT_ISL)
-               return isl_basic_map_print_isl(bmap, p, 0);
+               return isl_basic_map_print_isl(bmap, p, 0, 0);
        else if (p->output_format == ISL_FORMAT_OMEGA)
                return isl_basic_map_print_omega(bmap, p);
        isl_assert(bmap->ctx, 0, goto error);
@@ -625,9 +959,11 @@ __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
                goto error;
 
        if (p->output_format == ISL_FORMAT_ISL)
-               return isl_basic_set_print_isl(bset, p, 0);
+               return isl_basic_map_print_isl(bset, p, 1, 0);
        else if (p->output_format == ISL_FORMAT_POLYLIB)
-               return isl_basic_set_print_polylib(bset, p);
+               return isl_basic_set_print_polylib(bset, p, 0);
+       else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
+               return isl_basic_set_print_polylib(bset, p, 1);
        else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
                return bset_print_constraints_polylib(bset, p);
        else if (p->output_format == ISL_FORMAT_OMEGA)
@@ -662,11 +998,15 @@ __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
        if (!p || !set)
                goto error;
        if (p->output_format == ISL_FORMAT_ISL)
-               return isl_set_print_isl(set, p, 0);
+               return isl_map_print_isl((isl_map *)set, p, 1);
        else if (p->output_format == ISL_FORMAT_POLYLIB)
-               return isl_set_print_polylib(set, p);
+               return isl_set_print_polylib(set, p, 0);
+       else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
+               return isl_set_print_polylib(set, p, 1);
        else if (p->output_format == ISL_FORMAT_OMEGA)
                return isl_set_print_omega(set, p);
+       else if (p->output_format == ISL_FORMAT_LATEX)
+               return isl_map_print_latex((isl_map *)set, p, 1);
        isl_assert(set->ctx, 0, goto error);
 error:
        isl_printer_free(p);
@@ -698,51 +1038,326 @@ __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
        if (p->output_format == ISL_FORMAT_ISL)
                return isl_map_print_isl(map, p, 0);
        else if (p->output_format == ISL_FORMAT_POLYLIB)
-               return isl_map_print_polylib(map, p);
+               return isl_map_print_polylib(map, p, 0);
+       else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
+               return isl_map_print_polylib(map, p, 1);
        else if (p->output_format == ISL_FORMAT_OMEGA)
                return isl_map_print_omega(map, p);
        else if (p->output_format == ISL_FORMAT_LATEX)
-               return isl_map_print_isl(map, p, 1);
+               return isl_map_print_latex(map, p, 0);
        isl_assert(map->ctx, 0, goto error);
 error:
        isl_printer_free(p);
        return NULL;
 }
 
-void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
-       unsigned output_format)
+struct isl_union_print_data {
+       isl_printer *p;
+       int set;
+       int first;
+};
+
+static int print_map_body(__isl_take isl_map *map, void *user)
 {
-       isl_printer *printer;
+       struct isl_union_print_data *data;
+       data = (struct isl_union_print_data *)user;
 
-       if (!map)
-               return;
+       if (!data->first)
+               data->p = isl_printer_print_str(data->p, "; ");
+       data->first = 0;
 
-       printer = isl_printer_to_file(map->ctx, out);
-       printer = isl_printer_set_indent(printer, indent);
-       printer = isl_printer_set_output_format(printer, output_format);
-       printer = isl_printer_print_map(printer, map);
+       data->p = isl_map_print_isl_body(map, data->p, data->set);
+       isl_map_free(map);
 
-       isl_printer_free(printer);
+       return 0;
 }
 
-static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
+static __isl_give isl_printer *isl_union_map_print_isl(
+       __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
 {
-       int i;
-       int n;
+       struct isl_union_print_data data = { p, set, 1 };
+       isl_dim *dim;
+       dim = isl_union_map_get_dim(umap);
+       if (isl_dim_size(dim, isl_dim_param) > 0) {
+               p = print_tuple(dim, p, isl_dim_param, set, 0, NULL);
+               p = isl_printer_print_str(p, s_to[0]);
+       }
+       isl_dim_free(dim);
+       p = isl_printer_print_str(p, s_open_set[0]);
+       isl_union_map_foreach_map(umap, &print_map_body, &data);
+       p = data.p;
+       p = isl_printer_print_str(p, s_close_set[0]);
+       return p;
+}
 
-       for (i = 0, n = 0; i < rec->n; ++i)
-               if (!isl_upoly_is_zero(rec->p[i]))
-                       ++n;
+static int print_latex_map_body(__isl_take isl_map *map, void *user)
+{
+       struct isl_union_print_data *data;
+       data = (struct isl_union_print_data *)user;
 
-       return n;
+       if (!data->first)
+               data->p = isl_printer_print_str(data->p, " \\cup ");
+       data->first = 0;
+
+       data->p = isl_map_print_latex(map, data->p, data->set);
+       isl_map_free(map);
+
+       return 0;
 }
 
-static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
-       __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
+static __isl_give isl_printer *isl_union_map_print_latex(
+       __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
+{
+       struct isl_union_print_data data = { p, set, 1 };
+       isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
+       p = data.p;
+       return p;
+}
+
+__isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
+       __isl_keep isl_union_map *umap)
+{
+       if (!p || !umap)
+               goto error;
+
+       if (p->output_format == ISL_FORMAT_ISL)
+               return isl_union_map_print_isl(umap, p, 0);
+       if (p->output_format == ISL_FORMAT_LATEX)
+               return isl_union_map_print_latex(umap, p, 0);
+
+       isl_die(p->ctx, isl_error_invalid,
+               "invalid output format for isl_union_map", goto error);
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+__isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
+       __isl_keep isl_union_set *uset)
+{
+       if (!p || !uset)
+               goto error;
+
+       if (p->output_format == ISL_FORMAT_ISL)
+               return isl_union_map_print_isl((isl_union_map *)uset, p, 1);
+       if (p->output_format == ISL_FORMAT_LATEX)
+               return isl_union_map_print_latex((isl_union_map *)uset, p, 1);
+
+       isl_die(p->ctx, isl_error_invalid,
+               "invalid output format for isl_union_set", goto error);
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
+       unsigned output_format)
+{
+       isl_printer *printer;
+
+       if (!map)
+               return;
+
+       printer = isl_printer_to_file(map->ctx, out);
+       printer = isl_printer_set_indent(printer, indent);
+       printer = isl_printer_set_output_format(printer, output_format);
+       printer = isl_printer_print_map(printer, map);
+
+       isl_printer_free(printer);
+}
+
+void isl_basic_map_dump(__isl_keep isl_basic_map *bmap)
+{
+       isl_printer *printer;
+
+       if (!bmap)
+               return;
+
+       printer = isl_printer_to_file(isl_basic_map_get_ctx(bmap), stderr);
+       printer = isl_printer_print_basic_map(printer, bmap);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_basic_set_dump(__isl_keep isl_basic_set *bset)
+{
+       isl_printer *printer;
+
+       if (!bset)
+               return;
+
+       printer = isl_printer_to_file(isl_basic_set_get_ctx(bset), stderr);
+       printer = isl_printer_print_basic_set(printer, bset);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_map_dump(__isl_keep isl_map *map)
+{
+       isl_printer *printer;
+
+       if (!map)
+               return;
+
+       printer = isl_printer_to_file(isl_map_get_ctx(map), stderr);
+       printer = isl_printer_print_map(printer, map);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_set_dump(__isl_keep isl_set *set)
+{
+       isl_printer *printer;
+
+       if (!set)
+               return;
+
+       printer = isl_printer_to_file(isl_set_get_ctx(set), stderr);
+       printer = isl_printer_print_set(printer, set);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_union_map_dump(__isl_keep isl_union_map *umap)
+{
+       isl_printer *printer;
+
+       if (!umap)
+               return;
+
+       printer = isl_printer_to_file(isl_union_map_get_ctx(umap), stderr);
+       printer = isl_printer_print_union_map(printer, umap);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_union_set_dump(__isl_keep isl_union_set *uset)
+{
+       isl_printer *printer;
+
+       if (!uset)
+               return;
+
+       printer = isl_printer_to_file(isl_union_set_get_ctx(uset), stderr);
+       printer = isl_printer_print_union_set(printer, uset);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial *upwqp)
+{
+       isl_printer *printer;
+
+       if (!upwqp)
+               return;
+
+       printer = isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp),
+                                       stderr);
+       printer = isl_printer_print_union_pw_qpolynomial(printer, upwqp);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_qpolynomial_dump(__isl_keep isl_qpolynomial *qp)
+{
+       isl_printer *printer;
+
+       if (!qp)
+               return;
+
+       printer = isl_printer_to_file(isl_qpolynomial_get_ctx(qp), stderr);
+       printer = isl_printer_print_qpolynomial(printer, qp);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_qpolynomial_fold_dump(__isl_keep isl_qpolynomial_fold *fold)
+{
+       isl_printer *printer;
+
+       if (!fold)
+               return;
+
+       printer = isl_printer_to_file(isl_qpolynomial_fold_get_ctx(fold),
+                                       stderr);
+       printer = isl_printer_print_qpolynomial_fold(printer, fold);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_pw_qpolynomial_dump(__isl_keep isl_pw_qpolynomial *pwqp)
+{
+       isl_printer *printer;
+
+       if (!pwqp)
+               return;
+
+       printer = isl_printer_to_file(isl_pw_qpolynomial_get_ctx(pwqp), stderr);
+       printer = isl_printer_print_pw_qpolynomial(printer, pwqp);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_pw_qpolynomial_fold_dump(__isl_keep isl_pw_qpolynomial_fold *pwf)
+{
+       isl_printer *printer;
+
+       if (!pwf)
+               return;
+
+       printer = isl_printer_to_file(
+                       isl_pw_qpolynomial_fold_get_ctx(pwf), stderr);
+       printer = isl_printer_print_pw_qpolynomial_fold(printer, pwf);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+void isl_union_pw_qpolynomial_fold_dump(
+       __isl_keep isl_union_pw_qpolynomial_fold *upwf)
+{
+       isl_printer *printer;
+
+       if (!upwf)
+               return;
+
+       printer = isl_printer_to_file(
+                       isl_union_pw_qpolynomial_fold_get_ctx(upwf), stderr);
+       printer = isl_printer_print_union_pw_qpolynomial_fold(printer, upwf);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
+{
+       int i;
+       int n;
+
+       for (i = 0, n = 0; i < rec->n; ++i)
+               if (!isl_upoly_is_zero(rec->p[i]))
+                       ++n;
+
+       return n;
+}
+
+static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
+       __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
 {
        int c = p->output_format == ISL_FORMAT_C;
        p = isl_printer_print_str(p, c ? "floord(" : "[(");
-       p = print_affine_of_len(dim, p, div->row[pos] + 1, div->n_col - 1, 1);
+       p = print_affine_of_len(dim, div, p,
+                               div->row[pos] + 1, div->n_col - 1, 1);
        p = isl_printer_print_str(p, c ? ", " : ")/");
        p = isl_printer_print_isl_int(p, div->row[pos][0]);
        p = isl_printer_print_str(p, c ? ")" : "]");
@@ -788,7 +1403,7 @@ static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
 
        total = isl_dim_total(dim);
        if (var < total)
-               p = print_term(dim, dim->ctx->one, 1 + var, p, 1, 0);
+               p = print_term(dim, NULL, dim->ctx->one, 1 + var, p, 1, 0);
        else
                p = print_div(dim, div, var - total, p);
        return p;
@@ -815,9 +1430,9 @@ static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
 
 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
        __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
-       __isl_take isl_printer *p)
+       __isl_take isl_printer *p, int outer)
 {
-       int i, n, first;
+       int i, n, first, print_parens;
        struct isl_upoly_rec *rec;
 
        if (!p || !up || !dim || !div)
@@ -830,7 +1445,8 @@ static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
        if (!rec)
                goto error;
        n = upoly_rec_n_non_zero(rec);
-       if (n > 1)
+       print_parens = n > 1 || (outer && rec->up.var >= isl_dim_total(dim));
+       if (print_parens)
                p = isl_printer_print_str(p, "(");
        for (i = 0, first = 1; i < rec->n; ++i) {
                if (isl_upoly_is_zero(rec->p[i]))
@@ -849,7 +1465,7 @@ static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
                        if (!first)
                                p = isl_printer_print_str(p, " + ");
                        if (i == 0 || !isl_upoly_is_one(rec->p[i]))
-                               p = upoly_print(rec->p[i], dim, div, p);
+                               p = upoly_print(rec->p[i], dim, div, p, 0);
                }
                first = 0;
                if (i == 0)
@@ -859,7 +1475,7 @@ static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
                        p = isl_printer_print_str(p, " * ");
                p = print_pow(p, dim, div, rec->up.var, i);
        }
-       if (n > 1)
+       if (print_parens)
                p = isl_printer_print_str(p, ")");
        return p;
 error:
@@ -867,13 +1483,82 @@ error:
        return NULL;
 }
 
-__isl_give isl_printer *isl_printer_print_qpolynomial(__isl_take isl_printer *p,
+static __isl_give isl_printer *print_qpolynomial(__isl_take isl_printer *p,
+       __isl_keep isl_qpolynomial *qp)
+{
+       if (!p || !qp)
+               goto error;
+       p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1);
+       return p;
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+static __isl_give isl_printer *print_qpolynomial_isl(__isl_take isl_printer *p,
        __isl_keep isl_qpolynomial *qp)
 {
        if (!p || !qp)
                goto error;
-       p = upoly_print(qp->upoly, qp->dim, qp->div, p);
+
+       if (isl_dim_size(qp->dim, isl_dim_param) > 0) {
+               p = print_tuple(qp->dim, p, isl_dim_param, 0, 0, NULL);
+               p = isl_printer_print_str(p, " -> ");
+       }
+       p = isl_printer_print_str(p, "{ ");
+       if (isl_dim_size(qp->dim, isl_dim_set) > 0 ||
+           isl_dim_is_named_or_nested(qp->dim, isl_dim_set)) {
+               p = print_dim(qp->dim, p, 1, 0, 0, NULL);
+               p = isl_printer_print_str(p, " -> ");
+       }
+       p = print_qpolynomial(p, qp);
+       p = isl_printer_print_str(p, " }");
+       return p;
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
+       __isl_keep isl_dim *dim, __isl_keep isl_qpolynomial *qp)
+{
+       isl_int den;
+
+       isl_int_init(den);
+       isl_qpolynomial_get_den(qp, &den);
+       if (!isl_int_is_one(den)) {
+               isl_qpolynomial *f;
+               p = isl_printer_print_str(p, "(");
+               qp = isl_qpolynomial_copy(qp);
+               f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
+                                               den, qp->dim->ctx->one);
+               qp = isl_qpolynomial_mul(qp, f);
+       }
+       if (qp)
+               p = upoly_print(qp->upoly, dim, qp->div, p, 0);
+       if (!isl_int_is_one(den)) {
+               p = isl_printer_print_str(p, ")/");
+               p = isl_printer_print_isl_int(p, den);
+               isl_qpolynomial_free(qp);
+       }
+       isl_int_clear(den);
        return p;
+}
+
+__isl_give isl_printer *isl_printer_print_qpolynomial(
+       __isl_take isl_printer *p, __isl_keep isl_qpolynomial *qp)
+{
+       if (!p || !qp)
+               goto error;
+
+       if (p->output_format == ISL_FORMAT_ISL)
+               return print_qpolynomial_isl(p, qp);
+       else if (p->output_format == ISL_FORMAT_C)
+               return print_qpolynomial_c(p, qp->dim, qp);
+       else
+               isl_die(qp->dim->ctx, isl_error_unsupported,
+                       "output format not supported for isl_qpolynomials",
+                       goto error);
 error:
        isl_printer_free(p);
        return NULL;
@@ -906,24 +1591,12 @@ static __isl_give isl_printer *qpolynomial_fold_print(
        for (i = 0; i < fold->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, ", ");
-               p = isl_printer_print_qpolynomial(p, fold->qp[i]);
+               p = print_qpolynomial(p, fold->qp[i]);
        }
        p = isl_printer_print_str(p, ")");
        return p;
 }
 
-__isl_give isl_printer *isl_printer_print_qpolynomial_fold(
-       __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
-{
-       if  (!p || !fold)
-               goto error;
-       p = qpolynomial_fold_print(fold, p);
-       return p;
-error:
-       isl_printer_free(p);
-       return NULL;
-}
-
 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
        FILE *out, unsigned output_format)
 {
@@ -940,36 +1613,46 @@ void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
        isl_printer_free(p);
 }
 
-static __isl_give isl_printer *print_pw_qpolynomial_isl(
+static __isl_give isl_printer *isl_pwqp_print_isl_body(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
 {
        int i = 0;
 
+       for (i = 0; i < pwqp->n; ++i) {
+               if (i)
+                       p = isl_printer_print_str(p, "; ");
+               if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
+                   isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
+                       p = print_dim(pwqp->p[i].set->dim, p, 1, 0, 0, NULL);
+                       p = isl_printer_print_str(p, " -> ");
+               }
+               p = print_qpolynomial(p, pwqp->p[i].qp);
+               p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
+       }
+
+       return p;
+}
+
+static __isl_give isl_printer *print_pw_qpolynomial_isl(
+       __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
+{
        if (!p || !pwqp)
                goto error;
 
        if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
-               p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0);
+               p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
                p = isl_printer_print_str(p, " -> ");
        }
        p = isl_printer_print_str(p, "{ ");
        if (pwqp->n == 0) {
-               if (isl_dim_size(pwqp->dim, isl_dim_set) > 0) {
-                       p = print_tuple(pwqp->dim, p, isl_dim_set, 1, 0);
+               if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
+                   isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
+                       p = print_dim(pwqp->dim, p, 1, 0, 0, NULL);
                        p = isl_printer_print_str(p, " -> ");
                }
                p = isl_printer_print_str(p, "0");
        }
-       for (i = 0; i < pwqp->n; ++i) {
-               if (i)
-                       p = isl_printer_print_str(p, "; ");
-               if (isl_dim_size(pwqp->p[i].set->dim, isl_dim_set) > 0) {
-                       p = print_tuple(pwqp->p[i].set->dim, p, isl_dim_set, 1, 0);
-                       p = isl_printer_print_str(p, " -> ");
-               }
-               p = isl_printer_print_qpolynomial(p, pwqp->p[i].qp);
-               p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
-       }
+       p = isl_pwqp_print_isl_body(p, pwqp);
        p = isl_printer_print_str(p, " }");
        return p;
 error:
@@ -992,53 +1675,64 @@ void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
        isl_printer_free(p);
 }
 
-static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
+static __isl_give isl_printer *isl_pwf_print_isl_body(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
 {
        int i = 0;
 
+       for (i = 0; i < pwf->n; ++i) {
+               if (i)
+                       p = isl_printer_print_str(p, "; ");
+               if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
+                   isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
+                       p = print_dim(pwf->p[i].set->dim, p, 1, 0, 0, NULL);
+                       p = isl_printer_print_str(p, " -> ");
+               }
+               p = qpolynomial_fold_print(pwf->p[i].fold, p);
+               p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
+       }
+
+       return p;
+}
+
+static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
+       __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
+{
        if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
-               p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0);
+               p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
                p = isl_printer_print_str(p, " -> ");
        }
        p = isl_printer_print_str(p, "{ ");
        if (pwf->n == 0) {
-               if (isl_dim_size(pwf->dim, isl_dim_set) > 0) {
-                       p = print_tuple(pwf->dim, p, isl_dim_set, 0, 0);
+               if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
+                   isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
+                       p = print_dim(pwf->dim, p, 1, 0, 0, NULL);
                        p = isl_printer_print_str(p, " -> ");
                }
                p = isl_printer_print_str(p, "0");
        }
-       for (i = 0; i < pwf->n; ++i) {
-               if (i)
-                       p = isl_printer_print_str(p, "; ");
-               if (isl_dim_size(pwf->p[i].set->dim, isl_dim_set) > 0) {
-                       p = print_tuple(pwf->p[i].set->dim, p, isl_dim_set, 0, 0);
-                       p = isl_printer_print_str(p, " -> ");
-               }
-               p = qpolynomial_fold_print(pwf->p[i].fold, p);
-               p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
-       }
+       p = isl_pwf_print_isl_body(p, pwf);
        p = isl_printer_print_str(p, " }");
        return p;
 }
 
 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
-       __isl_keep isl_basic_set *bset, isl_int *c);
+       __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c);
 
 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
+       __isl_keep isl_dim *dim,
        __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
 {
        if (type == isl_dim_div) {
                p = isl_printer_print_str(p, "floord(");
-               p = print_affine_c(p, bset, bset->div[pos] + 1);
+               p = print_affine_c(p, dim, bset, bset->div[pos] + 1);
                p = isl_printer_print_str(p, ", ");
                p = isl_printer_print_isl_int(p, bset->div[pos][0]);
                p = isl_printer_print_str(p, ")");
        } else {
                const char *name;
 
-               name = isl_dim_get_name(bset->dim, type, pos);
+               name = isl_dim_get_name(dim, type, pos);
                if (!name)
                        name = "UNNAMED";
                p = isl_printer_print_str(p, name);
@@ -1047,10 +1741,10 @@ static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
 }
 
 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
+       __isl_keep isl_dim *dim,
        __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
 {
        enum isl_dim_type type;
-       unsigned nparam = isl_basic_set_dim(bset, isl_dim_param);
 
        if (pos == 0)
                return isl_printer_print_isl_int(p, c);
@@ -1063,17 +1757,17 @@ static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
                p = isl_printer_print_isl_int(p, c);
                p = isl_printer_print_str(p, "*");
        }
-       type = pos2type(bset->dim, &pos);
-       p = print_name_c(p, bset, type, pos);
+       type = pos2type(dim, &pos);
+       p = print_name_c(p, dim, bset, type, pos);
        return p;
 }
 
-static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
-       __isl_keep isl_basic_set *bset, isl_int *c)
+static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p,
+       __isl_keep isl_dim *dim,
+       __isl_keep isl_basic_set *bset, isl_int *c, unsigned len)
 {
        int i;
        int first;
-       unsigned len = 1 + isl_basic_set_total_dim(bset);
 
        for (i = 0, first = 1; i < len; ++i) {
                int flip = 0;
@@ -1088,7 +1782,7 @@ static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
                                p = isl_printer_print_str(p, " + ");
                }
                first = 0;
-               p = print_term(bset->dim, c[i], i, p, 1, 0);
+               p = print_term_c(p, dim, bset, c[i], i);
                if (flip)
                        isl_int_neg(c[i], c[i]);
        }
@@ -1097,13 +1791,21 @@ static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
        return p;
 }
 
+static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
+       __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c)
+{
+       unsigned len = 1 + isl_basic_set_total_dim(bset);
+       return print_partial_affine_c(p, dim, bset, c, len);
+}
+
 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
+       __isl_keep isl_dim *dim,
        __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
 {
        if (!first)
                p = isl_printer_print_str(p, " && ");
 
-       p = print_affine_c(p, bset, c);
+       p = print_affine_c(p, dim, bset, c);
        p = isl_printer_print_str(p, " ");
        p = isl_printer_print_str(p, op);
        p = isl_printer_print_str(p, " 0");
@@ -1111,20 +1813,37 @@ static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
 }
 
 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
-       __isl_keep isl_basic_set *bset)
+       __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset)
 {
-       int i;
+       int i, j;
+       unsigned n_div = isl_basic_set_dim(bset, isl_dim_div);
+       unsigned total = isl_basic_set_total_dim(bset) - n_div;
 
-       for (i = 0; i < bset->n_eq; ++i)
-               p = print_constraint_c(p, bset, bset->eq[i], "==", !i);
+       for (i = 0; i < bset->n_eq; ++i) {
+               j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div);
+               if (j < 0)
+                       p = print_constraint_c(p, dim, bset,
+                                               bset->eq[i], "==", !i);
+               else {
+                       if (i)
+                               p = isl_printer_print_str(p, " && ");
+                       p = isl_printer_print_str(p, "(");
+                       p = print_partial_affine_c(p, dim, bset, bset->eq[i],
+                                                  1 + total + j);
+                       p = isl_printer_print_str(p, ") % ");
+                       p = isl_printer_print_isl_int(p,
+                                               bset->eq[i][1 + total + j]);
+                       p = isl_printer_print_str(p, " == 0");
+               }
+       }
        for (i = 0; i < bset->n_ineq; ++i)
-               p = print_constraint_c(p, bset, bset->ineq[i], ">=",
+               p = print_constraint_c(p, dim, bset, bset->ineq[i], ">=",
                                        !bset->n_eq && !i);
        return p;
 }
 
 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
-       __isl_keep isl_set *set)
+       __isl_keep isl_dim *dim, __isl_keep isl_set *set)
 {
        int i;
 
@@ -1136,52 +1855,26 @@ static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
                        p = isl_printer_print_str(p, " || ");
                if (set->n > 1)
                        p = isl_printer_print_str(p, "(");
-               p = print_basic_set_c(p, set->p[i]);
+               p = print_basic_set_c(p, dim, set->p[i]);
                if (set->n > 1)
                        p = isl_printer_print_str(p, ")");
        }
        return p;
 }
 
-static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
-       __isl_keep isl_qpolynomial *qp)
-{
-       isl_int den;
-
-       isl_int_init(den);
-       isl_qpolynomial_get_den(qp, &den);
-       if (!isl_int_is_one(den)) {
-               isl_qpolynomial *f;
-               p = isl_printer_print_str(p, "(");
-               qp = isl_qpolynomial_copy(qp);
-               f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
-                                               den, qp->dim->ctx->one);
-               qp = isl_qpolynomial_mul(qp, f);
-       }
-       if (qp)
-               p = upoly_print(qp->upoly, qp->dim, qp->div, p);
-       if (!isl_int_is_one(den)) {
-               p = isl_printer_print_str(p, ")/");
-               p = isl_printer_print_isl_int(p, den);
-               isl_qpolynomial_free(qp);
-       }
-       isl_int_clear(den);
-       return p;
-}
-
 static __isl_give isl_printer *print_pw_qpolynomial_c(
-       __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwpq)
+       __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
 {
        int i;
 
-       if (pwpq->n == 1 && isl_set_fast_is_universe(pwpq->p[0].set))
-               return print_qpolynomial_c(p, pwpq->p[0].qp);
+       if (pwqp->n == 1 && isl_set_plain_is_universe(pwqp->p[0].set))
+               return print_qpolynomial_c(p, pwqp->dim, pwqp->p[0].qp);
 
-       for (i = 0; i < pwpq->n; ++i) {
+       for (i = 0; i < pwqp->n; ++i) {
                p = isl_printer_print_str(p, "(");
-               p = print_set_c(p, pwpq->p[i].set);
+               p = print_set_c(p, pwqp->dim, pwqp->p[i].set);
                p = isl_printer_print_str(p, ") ? (");
-               p = print_qpolynomial_c(p, pwpq->p[i].qp);
+               p = print_qpolynomial_c(p, pwqp->dim, pwqp->p[i].qp);
                p = isl_printer_print_str(p, ") : ");
        }
 
@@ -1205,8 +1898,59 @@ error:
        return NULL;
 }
 
+static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
+{
+       struct isl_union_print_data *data;
+       data = (struct isl_union_print_data *)user;
+
+       if (!data->first)
+               data->p = isl_printer_print_str(data->p, "; ");
+       data->first = 0;
+
+       data->p = isl_pwqp_print_isl_body(data->p, pwqp);
+       isl_pw_qpolynomial_free(pwqp);
+
+       return 0;
+}
+
+static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
+       __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
+{
+       struct isl_union_print_data data = { p, 1, 1 };
+       isl_dim *dim;
+       dim = isl_union_pw_qpolynomial_get_dim(upwqp);
+       if (isl_dim_size(dim, isl_dim_param) > 0) {
+               p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
+               p = isl_printer_print_str(p, " -> ");
+       }
+       isl_dim_free(dim);
+       p = isl_printer_print_str(p, "{ ");
+       isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
+                                                       &data);
+       p = data.p;
+       p = isl_printer_print_str(p, " }");
+       return p;
+}
+
+__isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
+       __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
+{
+       if (!p || !upwqp)
+               goto error;
+
+       if (p->output_format == ISL_FORMAT_ISL)
+               return print_union_pw_qpolynomial_isl(p, upwqp);
+       isl_die(p->ctx, isl_error_invalid,
+               "invalid output format for isl_union_pw_qpolynomial",
+               goto error);
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
 static __isl_give isl_printer *print_qpolynomial_fold_c(
-       __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
+       __isl_take isl_printer *p, __isl_keep isl_dim *dim,
+       __isl_keep isl_qpolynomial_fold *fold)
 {
        int i;
 
@@ -1219,26 +1963,42 @@ static __isl_give isl_printer *print_qpolynomial_fold_c(
        for (i = 0; i < fold->n; ++i) {
                if (i)
                        p = isl_printer_print_str(p, ", ");
-               p = print_qpolynomial_c(p, fold->qp[i]);
+               p = print_qpolynomial_c(p, dim, fold->qp[i]);
                if (i)
                        p = isl_printer_print_str(p, ")");
        }
        return p;
 }
 
+__isl_give isl_printer *isl_printer_print_qpolynomial_fold(
+       __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
+{
+       if  (!p || !fold)
+               goto error;
+       if (p->output_format == ISL_FORMAT_ISL)
+               return qpolynomial_fold_print(fold, p);
+       else if (p->output_format == ISL_FORMAT_C)
+               return print_qpolynomial_fold_c(p, fold->dim, fold);
+       isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
+               goto error);
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
        __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
 {
        int i;
 
-       if (pwf->n == 1 && isl_set_fast_is_universe(pwf->p[0].set))
-               return print_qpolynomial_fold_c(p, pwf->p[0].fold);
+       if (pwf->n == 1 && isl_set_plain_is_universe(pwf->p[0].set))
+               return print_qpolynomial_fold_c(p, pwf->dim, pwf->p[0].fold);
 
        for (i = 0; i < pwf->n; ++i) {
                p = isl_printer_print_str(p, "(");
-               p = print_set_c(p, pwf->p[i].set);
+               p = print_set_c(p, pwf->dim, pwf->p[i].set);
                p = isl_printer_print_str(p, ") ? (");
-               p = print_qpolynomial_fold_c(p, pwf->p[i].fold);
+               p = print_qpolynomial_fold_c(p, pwf->dim, pwf->p[i].fold);
                p = isl_printer_print_str(p, ") : ");
        }
 
@@ -1276,3 +2036,430 @@ void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
 
        isl_printer_free(p);
 }
+
+static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
+{
+       struct isl_union_print_data *data;
+       data = (struct isl_union_print_data *)user;
+
+       if (!data->first)
+               data->p = isl_printer_print_str(data->p, "; ");
+       data->first = 0;
+
+       data->p = isl_pwf_print_isl_body(data->p, pwf);
+       isl_pw_qpolynomial_fold_free(pwf);
+
+       return 0;
+}
+
+static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
+       __isl_take isl_printer *p,
+       __isl_keep isl_union_pw_qpolynomial_fold *upwf)
+{
+       struct isl_union_print_data data = { p, 1, 1 };
+       isl_dim *dim;
+       dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
+       if (isl_dim_size(dim, isl_dim_param) > 0) {
+               p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
+               p = isl_printer_print_str(p, " -> ");
+       }
+       isl_dim_free(dim);
+       p = isl_printer_print_str(p, "{ ");
+       isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
+                                                       &print_pwf_body, &data);
+       p = data.p;
+       p = isl_printer_print_str(p, " }");
+       return p;
+}
+
+__isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
+       __isl_take isl_printer *p,
+       __isl_keep isl_union_pw_qpolynomial_fold *upwf)
+{
+       if (!p || !upwf)
+               goto error;
+
+       if (p->output_format == ISL_FORMAT_ISL)
+               return print_union_pw_qpolynomial_fold_isl(p, upwf);
+       isl_die(p->ctx, isl_error_invalid,
+               "invalid output format for isl_union_pw_qpolynomial_fold",
+               goto error);
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+__isl_give isl_printer *isl_printer_print_constraint(__isl_take isl_printer *p,
+       __isl_keep isl_constraint *c)
+{
+       isl_basic_map *bmap;
+
+       if (!p || !c)
+               goto error;
+
+       bmap = isl_basic_map_from_constraint(isl_constraint_copy(c));
+       p = isl_printer_print_basic_map(p, bmap);
+       isl_basic_map_free(bmap);
+       return p;
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+void isl_constraint_dump(__isl_keep isl_constraint *c)
+{
+       isl_printer *printer;
+
+       if (!c)
+               return;
+
+       printer = isl_printer_to_file(isl_constraint_get_ctx(c), stderr);
+       printer = isl_printer_print_constraint(printer, c);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+__isl_give isl_printer *isl_printer_print_dim(__isl_take isl_printer *p,
+       __isl_keep isl_dim *dim)
+{
+       if (!dim)
+               goto error;
+
+       if (isl_dim_size(dim, isl_dim_param) > 0) {
+               p = print_tuple(dim, p, isl_dim_param, 0, 0, NULL);
+               p = isl_printer_print_str(p, " -> ");
+       }
+
+       p = isl_printer_print_str(p, "{ ");
+       p = print_tuple(dim, p, isl_dim_in, 0, 0, NULL);
+       p = isl_printer_print_str(p, " -> ");
+       p = print_tuple(dim, p, isl_dim_out, 0, 0, NULL);
+       p = isl_printer_print_str(p, " }");
+
+       return p;
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+void isl_dim_dump(__isl_keep isl_dim *dim)
+{
+       isl_printer *printer;
+
+       if (!dim)
+               return;
+
+       printer = isl_printer_to_file(isl_dim_get_ctx(dim), stderr);
+       printer = isl_printer_print_dim(printer, dim);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+__isl_give isl_printer *isl_printer_print_local_space(__isl_take isl_printer *p,
+       __isl_keep isl_local_space *ls)
+{
+       unsigned total;
+       unsigned n_div;
+
+       if (!ls)
+               goto error;
+
+       total = isl_local_space_dim(ls, isl_dim_all);
+       if (isl_local_space_dim(ls, isl_dim_param) > 0) {
+               p = print_tuple(ls->dim, p, isl_dim_param, 0, 0, NULL);
+               p = isl_printer_print_str(p, " -> ");
+       }
+       p = isl_printer_print_str(p, "{ ");
+       p = print_tuple(ls->dim, p, isl_dim_in, 0, 0, NULL);
+       p = isl_printer_print_str(p, " -> ");
+       p = print_tuple(ls->dim, p, isl_dim_out, 0, 0, NULL);
+       n_div = isl_local_space_dim(ls, isl_dim_div);
+       if (n_div > 0) {
+               int i;
+               p = isl_printer_print_str(p, " : ");
+               p = isl_printer_print_str(p, s_open_exists[0]);
+               for (i = 0; i < n_div; ++i) {
+                       if (i)
+                               p = isl_printer_print_str(p, ", ");
+                       p = print_name(ls->dim, p, isl_dim_div, i, 0, 0);
+                       if (isl_int_is_zero(ls->div->row[i][0]))
+                               continue;
+                       p = isl_printer_print_str(p, " = [(");
+                       p = print_affine_of_len(ls->dim, ls->div, p,
+                                           ls->div->row[i] + 1, 1 + total, 0);
+                       p = isl_printer_print_str(p, ")/");
+                       p = isl_printer_print_isl_int(p, ls->div->row[i][0]);
+                       p = isl_printer_print_str(p, "]");
+               }
+       }
+       p = isl_printer_print_str(p, " }");
+       return p;
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+void isl_local_space_dump(__isl_keep isl_local_space *ls)
+{
+       isl_printer *printer;
+
+       if (!ls)
+               return;
+
+       printer = isl_printer_to_file(isl_local_space_get_ctx(ls), stderr);
+       printer = isl_printer_print_local_space(printer, ls);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+static __isl_give isl_printer *print_aff(__isl_take isl_printer *p,
+       __isl_keep isl_aff *aff)
+{
+       unsigned total;
+
+       total = isl_local_space_dim(aff->ls, isl_dim_all);
+       p = print_tuple(aff->ls->dim, p, isl_dim_set, 1, 0, NULL);
+       p = isl_printer_print_str(p, " -> [");
+       p = isl_printer_print_str(p, "(");
+       p = print_affine_of_len(aff->ls->dim, aff->ls->div, p,
+                               aff->v->el + 1, 1 + total, 1);
+       if (isl_int_is_one(aff->v->el[0]))
+               p = isl_printer_print_str(p, ")");
+       else {
+               p = isl_printer_print_str(p, ")/");
+               p = isl_printer_print_isl_int(p, aff->v->el[0]);
+       }
+       p = isl_printer_print_str(p, "]");
+
+       return p;
+}
+
+static __isl_give isl_printer *print_aff_isl(__isl_take isl_printer *p,
+       __isl_keep isl_aff *aff)
+{
+       if (!aff)
+               goto error;
+
+       if (isl_local_space_dim(aff->ls, isl_dim_param) > 0) {
+               p = print_tuple(aff->ls->dim, p, isl_dim_param, 0, 0, NULL);
+               p = isl_printer_print_str(p, " -> ");
+       }
+       p = isl_printer_print_str(p, "{ ");
+       p = print_aff(p, aff);
+       p = isl_printer_print_str(p, " }");
+       return p;
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+void isl_aff_dump(__isl_keep isl_aff *aff)
+{
+       isl_printer *printer;
+
+       if (!aff)
+               return;
+
+       printer = isl_printer_to_file(isl_aff_get_ctx(aff), stderr);
+       printer = isl_printer_print_aff(printer, aff);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}
+
+static __isl_give isl_printer *print_pw_aff_isl(__isl_take isl_printer *p,
+       __isl_keep isl_pw_aff *pwaff)
+{
+       int i;
+
+       if (!pwaff)
+               goto error;
+
+       if (isl_dim_size(pwaff->dim, isl_dim_param) > 0) {
+               p = print_tuple(pwaff->dim, p, isl_dim_param, 0, 0, NULL);
+               p = isl_printer_print_str(p, " -> ");
+       }
+       p = isl_printer_print_str(p, "{ ");
+       for (i = 0; i < pwaff->n; ++i) {
+               if (i)
+                       p = isl_printer_print_str(p, "; ");
+               p = print_aff(p, pwaff->p[i].aff);
+               p = print_disjuncts((isl_map *)pwaff->p[i].set, p, 1, 0);
+       }
+       p = isl_printer_print_str(p, " }");
+       return p;
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+static __isl_give isl_printer *print_ls_affine_c(__isl_take isl_printer *p,
+       __isl_keep isl_local_space *ls, isl_int *c);
+
+static __isl_give isl_printer *print_ls_name_c(__isl_take isl_printer *p,
+       __isl_keep isl_local_space *ls, enum isl_dim_type type, unsigned pos)
+{
+       if (type == isl_dim_div) {
+               p = isl_printer_print_str(p, "floord(");
+               p = print_ls_affine_c(p, ls, ls->div->row[pos] + 1);
+               p = isl_printer_print_str(p, ", ");
+               p = isl_printer_print_isl_int(p, ls->div->row[pos][0]);
+               p = isl_printer_print_str(p, ")");
+       } else {
+               const char *name;
+
+               name = isl_dim_get_name(ls->dim, type, pos);
+               if (!name)
+                       name = "UNNAMED";
+               p = isl_printer_print_str(p, name);
+       }
+       return p;
+}
+
+static __isl_give isl_printer *print_ls_term_c(__isl_take isl_printer *p,
+       __isl_keep isl_local_space *ls, isl_int c, unsigned pos)
+{
+       enum isl_dim_type type;
+
+       if (pos == 0)
+               return isl_printer_print_isl_int(p, c);
+
+       if (isl_int_is_one(c))
+               ;
+       else if (isl_int_is_negone(c))
+               p = isl_printer_print_str(p, "-");
+       else {
+               p = isl_printer_print_isl_int(p, c);
+               p = isl_printer_print_str(p, "*");
+       }
+       type = pos2type(ls->dim, &pos);
+       p = print_ls_name_c(p, ls, type, pos);
+       return p;
+}
+
+static __isl_give isl_printer *print_ls_partial_affine_c(
+       __isl_take isl_printer *p, __isl_keep isl_local_space *ls,
+       isl_int *c, unsigned len)
+{
+       int i;
+       int first;
+
+       for (i = 0, first = 1; i < len; ++i) {
+               int flip = 0;
+               if (isl_int_is_zero(c[i]))
+                       continue;
+               if (!first) {
+                       if (isl_int_is_neg(c[i])) {
+                               flip = 1;
+                               isl_int_neg(c[i], c[i]);
+                               p = isl_printer_print_str(p, " - ");
+                       } else 
+                               p = isl_printer_print_str(p, " + ");
+               }
+               first = 0;
+               p = print_ls_term_c(p, ls, c[i], i);
+               if (flip)
+                       isl_int_neg(c[i], c[i]);
+       }
+       if (first)
+               p = isl_printer_print_str(p, "0");
+       return p;
+}
+
+static __isl_give isl_printer *print_ls_affine_c(__isl_take isl_printer *p,
+       __isl_keep isl_local_space *ls, isl_int *c)
+{
+       unsigned len = 1 + isl_local_space_dim(ls, isl_dim_all);
+       return print_ls_partial_affine_c(p, ls, c, len);
+}
+
+static __isl_give isl_printer *print_aff_c(__isl_take isl_printer *p,
+       __isl_keep isl_aff *aff)
+{
+       unsigned total;
+
+       total = isl_local_space_dim(aff->ls, isl_dim_all);
+       p = isl_printer_print_str(p, "(");
+       p = print_ls_partial_affine_c(p, aff->ls, aff->v->el + 1, 1 + total);
+       if (isl_int_is_one(aff->v->el[0]))
+               p = isl_printer_print_str(p, ")");
+       else {
+               p = isl_printer_print_str(p, ")/");
+               p = isl_printer_print_isl_int(p, aff->v->el[0]);
+       }
+       return p;
+}
+
+static __isl_give isl_printer *print_pw_aff_c(__isl_take isl_printer *p,
+       __isl_keep isl_pw_aff *pwaff)
+{
+       int i;
+
+       if (pwaff->n < 1)
+               isl_die(p->ctx, isl_error_unsupported,
+                       "cannot print empty isl_pw_aff in C format", goto error);
+
+       for (i = 0; i < pwaff->n - 1; ++i) {
+               p = isl_printer_print_str(p, "(");
+               p = print_set_c(p, pwaff->dim, pwaff->p[i].set);
+               p = isl_printer_print_str(p, ") ? (");
+               p = print_aff_c(p, pwaff->p[i].aff);
+               p = isl_printer_print_str(p, ") : ");
+       }
+
+       return print_aff_c(p, pwaff->p[pwaff->n - 1].aff);
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+__isl_give isl_printer *isl_printer_print_aff(__isl_take isl_printer *p,
+       __isl_keep isl_aff *aff)
+{
+       if (!p || !aff)
+               goto error;
+
+       if (p->output_format == ISL_FORMAT_ISL)
+               return print_aff_isl(p, aff);
+       else if (p->output_format == ISL_FORMAT_C)
+               return print_aff_c(p, aff);
+       isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
+               goto error);
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+__isl_give isl_printer *isl_printer_print_pw_aff(__isl_take isl_printer *p,
+       __isl_keep isl_pw_aff *pwaff)
+{
+       if (!p || !pwaff)
+               goto error;
+
+       if (p->output_format == ISL_FORMAT_ISL)
+               return print_pw_aff_isl(p, pwaff);
+       else if (p->output_format == ISL_FORMAT_C)
+               return print_pw_aff_c(p, pwaff);
+       isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
+               goto error);
+error:
+       isl_printer_free(p);
+       return NULL;
+}
+
+void isl_pw_aff_dump(__isl_keep isl_pw_aff *pwaff)
+{
+       isl_printer *printer;
+
+       if (!pwaff)
+               return;
+
+       printer = isl_printer_to_file(isl_pw_aff_get_ctx(pwaff), stderr);
+       printer = isl_printer_print_pw_aff(printer, pwaff);
+       printer = isl_printer_end_line(printer);
+
+       isl_printer_free(printer);
+}