merge isl_basic_set/isl_basic_map and isl_set/isl_map
[platform/upstream/isl.git] / isl_fold.c
index f04b4d4..edd3817 100644 (file)
@@ -8,12 +8,26 @@
  * 91893 Orsay, France 
  */
 
+#include <isl_map_private.h>
+#include <isl_union_map_private.h>
 #include <isl_polynomial_private.h>
 #include <isl_point_private.h>
-#include <isl_dim.h>
-#include <isl_map_private.h>
-#include <isl_lp.h>
-#include <isl_seq.h>
+#include <isl_dim_private.h>
+#include <isl/lp.h>
+#include <isl/seq.h>
+#include <isl_mat_private.h>
+
+enum isl_fold isl_fold_type_negate(enum isl_fold type)
+{
+       switch (type) {
+       case isl_fold_min:
+               return isl_fold_max;
+       case isl_fold_max:
+               return isl_fold_min;
+       case isl_fold_list:
+               return isl_fold_list;
+       }
+}
 
 static __isl_give isl_qpolynomial_fold *qpolynomial_fold_alloc(
        enum isl_fold type, __isl_take isl_dim *dim, int n)
@@ -42,6 +56,37 @@ error:
        return NULL;
 }
 
+isl_ctx *isl_qpolynomial_fold_get_ctx(__isl_keep isl_qpolynomial_fold *fold)
+{
+       return fold ? fold->dim->ctx : NULL;
+}
+
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_reset_dim(
+       __isl_take isl_qpolynomial_fold *fold, __isl_take isl_dim *dim)
+{
+       int i;
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold || !dim)
+               goto error;
+
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_reset_dim(fold->qp[i],
+                                                       isl_dim_copy(dim));
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       isl_dim_free(fold->dim);
+       fold->dim = dim;
+
+       return fold;
+error:
+       isl_qpolynomial_fold_free(fold);
+       isl_dim_free(dim);
+       return NULL;
+}
+
 int isl_qpolynomial_fold_involves_dims(__isl_keep isl_qpolynomial_fold *fold,
        enum isl_dim_type type, unsigned first, unsigned n)
 {
@@ -61,6 +106,32 @@ int isl_qpolynomial_fold_involves_dims(__isl_keep isl_qpolynomial_fold *fold,
        return 0;
 }
 
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_set_dim_name(
+       __isl_take isl_qpolynomial_fold *fold,
+       enum isl_dim_type type, unsigned pos, const char *s)
+{
+       int i;
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold)
+               return NULL;
+       fold->dim = isl_dim_set_name(fold->dim, type, pos, s);
+       if (!fold->dim)
+               goto error;
+
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_set_dim_name(fold->qp[i],
+                                                           type, pos, s);
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       return fold;
+error:
+       isl_qpolynomial_fold_free(fold);
+       return NULL;
+}
+
 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_drop_dims(
        __isl_take isl_qpolynomial_fold *fold,
        enum isl_dim_type type, unsigned first, unsigned n)
@@ -92,6 +163,37 @@ error:
        return NULL;
 }
 
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_insert_dims(
+       __isl_take isl_qpolynomial_fold *fold,
+       enum isl_dim_type type, unsigned first, unsigned n)
+{
+       int i;
+
+       if (!fold)
+               return NULL;
+       if (n == 0 && !isl_dim_is_named_or_nested(fold->dim, type))
+               return fold;
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold)
+               return NULL;
+       fold->dim = isl_dim_insert(fold->dim, type, first, n);
+       if (!fold->dim)
+               goto error;
+
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_insert_dims(fold->qp[i],
+                                                           type, first, n);
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       return fold;
+error:
+       isl_qpolynomial_fold_free(fold);
+       return NULL;
+}
+
 static int isl_qpolynomial_cst_sign(__isl_keep isl_qpolynomial *qp)
 {
        struct isl_upoly_cst *cst;
@@ -208,7 +310,7 @@ static int isl_qpolynomial_sign(__isl_keep isl_set *set,
                isl_qpolynomial *t;
 
                min = isl_qpolynomial_cst(isl_dim_copy(qp->dim), l);
-               base = isl_qpolynomial_pow(isl_dim_copy(qp->dim),
+               base = isl_qpolynomial_var_pow(isl_dim_copy(qp->dim),
                                                qp->upoly->var, 1);
 
                r = isl_qpolynomial_alloc(isl_dim_copy(qp->dim), 0,
@@ -333,6 +435,147 @@ error:
        return NULL;
 }
 
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_qpolynomial(
+       __isl_take isl_qpolynomial_fold *fold, __isl_take isl_qpolynomial *qp)
+{
+       int i;
+
+       if (!fold || !qp)
+               goto error;
+
+       if (isl_qpolynomial_is_zero(qp)) {
+               isl_qpolynomial_free(qp);
+               return fold;
+       }
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold)
+               goto error;
+
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_add(fold->qp[i],
+                                               isl_qpolynomial_copy(qp));
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       isl_qpolynomial_free(qp);
+       return fold;
+error:
+       isl_qpolynomial_fold_free(fold);
+       isl_qpolynomial_free(qp);
+       return NULL;
+}
+
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_on_domain(
+       __isl_keep isl_set *dom,
+       __isl_take isl_qpolynomial_fold *fold1,
+       __isl_take isl_qpolynomial_fold *fold2)
+{
+       int i;
+       isl_qpolynomial_fold *res = NULL;
+
+       if (!fold1 || !fold2)
+               goto error;
+
+       if (isl_qpolynomial_fold_is_empty(fold1)) {
+               isl_qpolynomial_fold_free(fold1);
+               return fold2;
+       }
+
+       if (isl_qpolynomial_fold_is_empty(fold2)) {
+               isl_qpolynomial_fold_free(fold2);
+               return fold1;
+       }
+
+       if (fold1->n == 1 && fold2->n != 1)
+               return isl_qpolynomial_fold_add_on_domain(dom, fold2, fold1);
+
+       if (fold2->n == 1) {
+               res = isl_qpolynomial_fold_add_qpolynomial(fold1,
+                                       isl_qpolynomial_copy(fold2->qp[0]));
+               isl_qpolynomial_fold_free(fold2);
+               return res;
+       }
+
+       res = isl_qpolynomial_fold_add_qpolynomial(
+                               isl_qpolynomial_fold_copy(fold1),
+                               isl_qpolynomial_copy(fold2->qp[0]));
+
+       for (i = 1; i < fold2->n; ++i) {
+               isl_qpolynomial_fold *res_i;
+               res_i = isl_qpolynomial_fold_add_qpolynomial(
+                                       isl_qpolynomial_fold_copy(fold1),
+                                       isl_qpolynomial_copy(fold2->qp[i]));
+               res = isl_qpolynomial_fold_fold_on_domain(dom, res, res_i);
+       }
+
+       isl_qpolynomial_fold_free(fold1);
+       isl_qpolynomial_fold_free(fold2);
+       return res;
+error:
+       isl_qpolynomial_fold_free(res);
+       isl_qpolynomial_fold_free(fold1);
+       isl_qpolynomial_fold_free(fold2);
+       return NULL;
+}
+
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute_equalities(
+       __isl_take isl_qpolynomial_fold *fold, __isl_take isl_basic_set *eq)
+{
+       int i;
+
+       if (!fold || !eq)
+               goto error;
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold)
+               return NULL;
+
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_substitute_equalities(fold->qp[i],
+                                                       isl_basic_set_copy(eq));
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       isl_basic_set_free(eq);
+       return fold;
+error:
+       isl_basic_set_free(eq);
+       isl_qpolynomial_fold_free(fold);
+       return NULL;
+}
+
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist(
+       __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
+{
+       int i;
+
+       if (!fold || !context)
+               goto error;
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold)
+               return NULL;
+
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_gist(fold->qp[i],
+                                                       isl_set_copy(context));
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       isl_set_free(context);
+       return fold;
+error:
+       isl_set_free(context);
+       isl_qpolynomial_fold_free(fold);
+       return NULL;
+}
+
+#define HAS_TYPE
+
 #undef PW
 #define PW isl_pw_qpolynomial_fold
 #undef EL
@@ -341,11 +584,18 @@ error:
 #define IS_ZERO is_empty
 #undef FIELD
 #define FIELD fold
-#undef ADD
-#define ADD(d,e1,e2)   isl_qpolynomial_fold_fold_on_domain(d,e1,e2) 
 
 #include <isl_pw_templ.c>
 
+#undef UNION
+#define UNION isl_union_pw_qpolynomial_fold
+#undef PART
+#define PART isl_pw_qpolynomial_fold
+#undef PARTS
+#define PARTS pw_qpolynomial_fold
+
+#include <isl_union_templ.c>
+
 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
        __isl_take isl_dim *dim)
 {
@@ -499,6 +749,149 @@ error:
        return NULL;
 }
 
+__isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
+       __isl_take isl_pw_qpolynomial_fold *pw1,
+       __isl_take isl_pw_qpolynomial_fold *pw2)
+{
+       int i, j, n;
+       struct isl_pw_qpolynomial_fold *res;
+       isl_set *set;
+
+       if (!pw1 || !pw2)
+               goto error;
+
+       isl_assert(pw1->dim->ctx, isl_dim_equal(pw1->dim, pw2->dim), goto error);
+
+       if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
+               isl_pw_qpolynomial_fold_free(pw1);
+               return pw2;
+       }
+
+       if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
+               isl_pw_qpolynomial_fold_free(pw2);
+               return pw1;
+       }
+
+       if (pw1->type != pw2->type)
+               isl_die(set->ctx, isl_error_invalid, "fold types don't match",
+                       goto error);
+
+       n = (pw1->n + 1) * (pw2->n + 1);
+       res = isl_pw_qpolynomial_fold_alloc_(isl_dim_copy(pw1->dim),
+                                               pw1->type, n);
+
+       for (i = 0; i < pw1->n; ++i) {
+               set = isl_set_copy(pw1->p[i].set);
+               for (j = 0; j < pw2->n; ++j) {
+                       struct isl_set *common;
+                       isl_qpolynomial_fold *sum;
+                       set = isl_set_subtract(set,
+                                       isl_set_copy(pw2->p[j].set));
+                       common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
+                                               isl_set_copy(pw2->p[j].set));
+                       if (isl_set_fast_is_empty(common)) {
+                               isl_set_free(common);
+                               continue;
+                       }
+
+                       sum = isl_qpolynomial_fold_fold_on_domain(common,
+                              isl_qpolynomial_fold_copy(pw1->p[i].fold),
+                              isl_qpolynomial_fold_copy(pw2->p[j].fold));
+
+                       res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
+               }
+               res = isl_pw_qpolynomial_fold_add_piece(res, set,
+                       isl_qpolynomial_fold_copy(pw1->p[i].fold));
+       }
+
+       for (j = 0; j < pw2->n; ++j) {
+               set = isl_set_copy(pw2->p[j].set);
+               for (i = 0; i < pw1->n; ++i)
+                       set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
+               res = isl_pw_qpolynomial_fold_add_piece(res, set,
+                                   isl_qpolynomial_fold_copy(pw2->p[j].fold));
+       }
+
+       isl_pw_qpolynomial_fold_free(pw1);
+       isl_pw_qpolynomial_fold_free(pw2);
+
+       return res;
+error:
+       isl_pw_qpolynomial_fold_free(pw1);
+       isl_pw_qpolynomial_fold_free(pw2);
+       return NULL;
+}
+
+__isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
+       __isl_take isl_union_pw_qpolynomial_fold *u,
+       __isl_take isl_pw_qpolynomial_fold *part)
+{
+       uint32_t hash;
+       struct isl_hash_table_entry *entry;
+
+       u = isl_union_pw_qpolynomial_fold_cow(u);
+
+       if (!part || !u)
+               goto error;
+
+       isl_assert(u->dim->ctx, isl_dim_match(part->dim, isl_dim_param, u->dim,
+                                             isl_dim_param), goto error);
+
+       hash = isl_dim_get_hash(part->dim);
+       entry = isl_hash_table_find(u->dim->ctx, &u->table, hash,
+                                   &has_dim, part->dim, 1);
+       if (!entry)
+               goto error;
+
+       if (!entry->data)
+               entry->data = part;
+       else {
+               entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
+                                           isl_pw_qpolynomial_fold_copy(part));
+               if (!entry->data)
+                       goto error;
+               isl_pw_qpolynomial_fold_free(part);
+       }
+
+       return u;
+error:
+       isl_pw_qpolynomial_fold_free(part);
+       isl_union_pw_qpolynomial_fold_free(u);
+       return NULL;
+}
+
+static int fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
+{
+       isl_union_pw_qpolynomial_fold **u;
+       u = (isl_union_pw_qpolynomial_fold **)user;
+
+       *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
+
+       return 0;
+}
+
+__isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
+       __isl_take isl_union_pw_qpolynomial_fold *u1,
+       __isl_take isl_union_pw_qpolynomial_fold *u2)
+{
+       u1 = isl_union_pw_qpolynomial_fold_cow(u1);
+
+       if (!u1 || !u2)
+               goto error;
+
+       if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
+                                                       &fold_part, &u1) < 0)
+               goto error;
+
+       isl_union_pw_qpolynomial_fold_free(u2);
+
+       return u1;
+error:
+       isl_union_pw_qpolynomial_fold_free(u1);
+       isl_union_pw_qpolynomial_fold_free(u2);
+       return NULL;
+}
+
 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
        enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
 {
@@ -508,7 +901,8 @@ __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
        if (!pwqp)
                return NULL;
        
-       pwf = isl_pw_qpolynomial_fold_alloc_(isl_dim_copy(pwqp->dim), pwqp->n);
+       pwf = isl_pw_qpolynomial_fold_alloc_(isl_dim_copy(pwqp->dim), type,
+                                               pwqp->n);
 
        for (i = 0; i < pwqp->n; ++i)
                pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
@@ -764,6 +1158,14 @@ enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fol
        return fold->type;
 }
 
+enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
+       __isl_keep isl_union_pw_qpolynomial_fold *upwf)
+{
+       if (!upwf)
+               return isl_fold_list;
+       return upwf->type;
+}
+
 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
        __isl_take isl_qpolynomial_fold *fold, __isl_take isl_dim *dim)
 {
@@ -850,3 +1252,312 @@ error:
        isl_qpolynomial_fold_free(fold);
        return NULL;
 }
+
+/* For each 0 <= i < "n", replace variable "first" + i of type "type"
+ * in fold->qp[k] by subs[i].
+ */
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
+       __isl_take isl_qpolynomial_fold *fold,
+       enum isl_dim_type type, unsigned first, unsigned n,
+       __isl_keep isl_qpolynomial **subs)
+{
+       int i;
+
+       if (n == 0)
+               return fold;
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold)
+               return NULL;
+
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
+                               type, first, n, subs);
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       return fold;
+error:
+       isl_qpolynomial_fold_free(fold);
+       return NULL;
+}
+
+static int add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
+{
+       isl_ctx *ctx;
+       isl_pw_qpolynomial_fold *pwf;
+       isl_union_pw_qpolynomial_fold **upwf;
+       uint32_t hash;
+       struct isl_hash_table_entry *entry;
+
+       upwf = (isl_union_pw_qpolynomial_fold **)user;
+
+       ctx = pwqp->dim->ctx;
+       hash = isl_dim_get_hash(pwqp->dim);
+       entry = isl_hash_table_find(ctx, &(*upwf)->table,
+                                    hash, &has_dim, pwqp->dim, 1);
+       if (!entry)
+               goto error;
+
+       pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
+       if (!entry->data)
+               entry->data = pwf;
+       else {
+               entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
+               if (!entry->data)
+                       return -1;
+               if (isl_pw_qpolynomial_fold_is_zero(entry->data)) {
+                       isl_pw_qpolynomial_fold_free(entry->data);
+                       isl_hash_table_remove(ctx, &(*upwf)->table, entry);
+               }
+       }
+
+       return 0;
+error:
+       isl_pw_qpolynomial_free(pwqp);
+       return -1;
+}
+
+__isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
+       __isl_take isl_union_pw_qpolynomial_fold *upwf,
+       __isl_take isl_union_pw_qpolynomial *upwqp)
+{
+       upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
+                               isl_union_pw_qpolynomial_get_dim(upwqp));
+       upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
+                               isl_union_pw_qpolynomial_fold_get_dim(upwf));
+
+       upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
+       if (!upwf || !upwqp)
+               goto error;
+
+       if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
+                                                        &upwf) < 0)
+               goto error;
+
+       isl_union_pw_qpolynomial_free(upwqp);
+
+       return upwf;
+error:
+       isl_union_pw_qpolynomial_fold_free(upwf);
+       isl_union_pw_qpolynomial_free(upwqp);
+       return NULL;
+}
+
+static int compatible_range(__isl_keep isl_dim *dim1, __isl_keep isl_dim *dim2)
+{
+       int m;
+       m = isl_dim_match(dim1, isl_dim_param, dim2, isl_dim_param);
+       if (m < 0 || !m)
+               return m;
+       return isl_dim_tuple_match(dim1, isl_dim_out, dim2, isl_dim_set);
+}
+
+/* Compute the intersection of the range of the map and the domain
+ * of the piecewise quasipolynomial reduction and then compute a bound
+ * on the associated quasipolynomial reduction over all elements
+ * in this intersection.
+ *
+ * We first introduce some unconstrained dimensions in the
+ * piecewise quasipolynomial, intersect the resulting domain
+ * with the wrapped map and the compute the sum.
+ */
+__isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
+       __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
+       int *tight)
+{
+       isl_ctx *ctx;
+       isl_set *dom;
+       isl_dim *map_dim;
+       isl_dim *pwf_dim;
+       unsigned n_in;
+       int ok;
+
+       ctx = isl_map_get_ctx(map);
+       if (!ctx)
+               goto error;
+
+       map_dim = isl_map_get_dim(map);
+       pwf_dim = isl_pw_qpolynomial_fold_get_dim(pwf);
+       ok = compatible_range(map_dim, pwf_dim);
+       isl_dim_free(map_dim);
+       isl_dim_free(pwf_dim);
+       if (!ok)
+               isl_die(ctx, isl_error_invalid, "incompatible dimensions",
+                       goto error);
+
+       n_in = isl_map_dim(map, isl_dim_in);
+       pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_set, 0, n_in);
+
+       dom = isl_map_wrap(map);
+       pwf = isl_pw_qpolynomial_fold_reset_dim(pwf, isl_set_get_dim(dom));
+
+       pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
+       pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
+       
+       return pwf;
+error:
+       isl_map_free(map);
+       isl_pw_qpolynomial_fold_free(pwf);
+       return NULL;
+}
+
+__isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
+       __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
+       int *tight)
+{
+       isl_map *map;
+
+       map = isl_map_from_range(set);
+       return isl_map_apply_pw_qpolynomial_fold(map, pwf, tight);
+}
+
+struct isl_apply_fold_data {
+       isl_union_pw_qpolynomial_fold *upwf;
+       isl_union_pw_qpolynomial_fold *res;
+       isl_map *map;
+       int tight;
+};
+
+static int pw_qpolynomial_fold_apply(__isl_take isl_pw_qpolynomial_fold *pwf,
+       void *user)
+{
+       isl_dim *map_dim;
+       isl_dim *pwf_dim;
+       struct isl_apply_fold_data *data = user;
+       int ok;
+
+       map_dim = isl_map_get_dim(data->map);
+       pwf_dim = isl_pw_qpolynomial_fold_get_dim(pwf);
+       ok = compatible_range(map_dim, pwf_dim);
+       isl_dim_free(map_dim);
+       isl_dim_free(pwf_dim);
+
+       if (ok) {
+               pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
+                                   pwf, data->tight ? &data->tight : NULL);
+               data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
+                                                       data->res, pwf);
+       } else
+               isl_pw_qpolynomial_fold_free(pwf);
+
+       return 0;
+}
+
+static int map_apply(__isl_take isl_map *map, void *user)
+{
+       struct isl_apply_fold_data *data = user;
+       int r;
+
+       data->map = map;
+       r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
+                               data->upwf, &pw_qpolynomial_fold_apply, data);
+
+       isl_map_free(map);
+       return r;
+}
+
+__isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
+       __isl_take isl_union_map *umap,
+       __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
+{
+       isl_dim *dim;
+       enum isl_fold type;
+       struct isl_apply_fold_data data;
+
+       upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
+                               isl_union_map_get_dim(umap));
+       umap = isl_union_map_align_params(umap,
+                               isl_union_pw_qpolynomial_fold_get_dim(upwf));
+
+       data.upwf = upwf;
+       data.tight = tight ? 1 : 0;
+       dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
+       type = isl_union_pw_qpolynomial_fold_get_type(upwf);
+       data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
+       if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
+               goto error;
+
+       isl_union_map_free(umap);
+       isl_union_pw_qpolynomial_fold_free(upwf);
+
+       if (tight)
+               *tight = data.tight;
+
+       return data.res;
+error:
+       isl_union_map_free(umap);
+       isl_union_pw_qpolynomial_fold_free(upwf);
+       isl_union_pw_qpolynomial_fold_free(data.res);
+       return NULL;
+}
+
+__isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
+       __isl_take isl_union_set *uset,
+       __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
+{
+       return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
+}
+
+/* Reorder the dimension of "fold" according to the given reordering.
+ */
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign(
+       __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
+{
+       int i;
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold || !r)
+               goto error;
+
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_realign(fold->qp[i],
+                                                   isl_reordering_copy(r));
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       fold = isl_qpolynomial_fold_reset_dim(fold, isl_dim_copy(r->dim));
+
+       isl_reordering_free(r);
+
+       return fold;
+error:
+       isl_qpolynomial_fold_free(fold);
+       isl_reordering_free(r);
+       return NULL;
+}
+
+__isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
+       __isl_take isl_qpolynomial_fold *fold, isl_int v)
+{
+       int i;
+
+       if (isl_int_is_one(v))
+               return fold;
+       if (fold && isl_int_is_zero(v)) {
+               isl_qpolynomial_fold *zero;
+               isl_dim *dim = isl_dim_copy(fold->dim);
+               zero = isl_qpolynomial_fold_empty(fold->type, dim);
+               isl_qpolynomial_fold_free(fold);
+               return zero;
+       }
+
+       fold = isl_qpolynomial_fold_cow(fold);
+       if (!fold)
+               return NULL;
+
+       if (isl_int_is_neg(v))
+               fold->type = isl_fold_type_negate(fold->type);
+       for (i = 0; i < fold->n; ++i) {
+               fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
+               if (!fold->qp[i])
+                       goto error;
+       }
+
+       return fold;
+error:
+       isl_qpolynomial_fold_free(fold);
+       return NULL;
+}