+
+#ifndef NO_IDENTITY
+/* Create a multi expression in the given space that maps each
+ * input dimension to the corresponding output dimension.
+ */
+__isl_give MULTI(BASE) *FN(MULTI(BASE),identity)(__isl_take isl_space *space)
+{
+ int i, n;
+ isl_local_space *ls;
+ MULTI(BASE) *multi;
+
+ if (!space)
+ return NULL;
+
+ if (isl_space_is_set(space))
+ isl_die(isl_space_get_ctx(space), isl_error_invalid,
+ "expecting map space", goto error);
+
+ n = isl_space_dim(space, isl_dim_out);
+ if (n != isl_space_dim(space, isl_dim_in))
+ isl_die(isl_space_get_ctx(space), isl_error_invalid,
+ "number of input and output dimensions needs to be "
+ "the same", goto error);
+
+ multi = FN(MULTI(BASE),alloc)(isl_space_copy(space));
+
+ if (!n) {
+ isl_space_free(space);
+ return multi;
+ }
+
+ space = isl_space_domain(space);
+ ls = isl_local_space_from_space(space);
+
+ for (i = 0; i < n; ++i) {
+ EL *el;
+ el = FN(EL,var_on_domain)(isl_local_space_copy(ls),
+ isl_dim_set, i);
+ multi = FN(FN(MULTI(BASE),set),BASE)(multi, i, el);
+ }
+
+ isl_local_space_free(ls);
+
+ return multi;
+error:
+ isl_space_free(space);
+ return NULL;
+}
+#endif
+
+/* Construct a multi expression in the given space with value zero in
+ * each of the output dimensions.
+ */
+__isl_give MULTI(BASE) *FN(MULTI(BASE),zero)(__isl_take isl_space *space)
+{
+ int n;
+ MULTI(BASE) *multi;
+
+ if (!space)
+ return NULL;
+
+ n = isl_space_dim(space , isl_dim_out);
+ multi = FN(MULTI(BASE),alloc)(isl_space_copy(space));
+
+ if (!n)
+ isl_space_free(space);
+ else {
+ int i;
+ isl_local_space *ls;
+ EL *el;
+
+ space = isl_space_domain(space);
+ ls = isl_local_space_from_space(space);
+ el = FN(EL,zero_on_domain)(ls);
+
+ for (i = 0; i < n; ++i)
+ multi = FN(FN(MULTI(BASE),set),BASE)(multi, i,
+ FN(EL,copy)(el));
+
+ FN(EL,free)(el);
+ }
+
+ return multi;
+}
+
+#ifndef NO_FROM_BASE
+__isl_give MULTI(BASE) *FN(FN(MULTI(BASE),from),BASE)(__isl_take EL *el)
+{
+ MULTI(BASE) *multi;
+
+ multi = FN(MULTI(BASE),alloc)(FN(EL,get_space)(el));
+ multi = FN(FN(MULTI(BASE),set),BASE)(multi, 0, el);
+
+ return multi;
+}
+#endif
+
+__isl_give MULTI(BASE) *FN(MULTI(BASE),drop_dims)(
+ __isl_take MULTI(BASE) *multi,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ int i;
+ unsigned dim;
+
+ multi = FN(MULTI(BASE),cow)(multi);
+ if (!multi)
+ return NULL;
+
+ dim = FN(MULTI(BASE),dim)(multi, type);
+ if (first + n > dim || first + n < first)
+ isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_invalid,
+ "index out of bounds",
+ return FN(MULTI(BASE),cow)(multi));
+
+ multi->space = isl_space_drop_dims(multi->space, type, first, n);
+ if (!multi->space)
+ return FN(MULTI(BASE),cow)(multi);
+
+ if (type == isl_dim_out) {
+ for (i = 0; i < n; ++i)
+ FN(EL,free)(multi->p[first + i]);
+ for (i = first; i + n < multi->n; ++i)
+ multi->p[i] = multi->p[i + n];
+ multi->n -= n;
+
+ return multi;
+ }
+
+ for (i = 0; i < multi->n; ++i) {
+ multi->p[i] = FN(EL,drop_dims)(multi->p[i], type, first, n);
+ if (!multi->p[i])
+ return FN(MULTI(BASE),cow)(multi);
+ }
+
+ return multi;
+}
+
+/* Given two MULTI(BASE)s A -> B and C -> D,
+ * construct a MULTI(BASE) (A * C) -> (B, D).
+ */
+__isl_give MULTI(BASE) *FN(MULTI(BASE),range_product)(
+ __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2)
+{
+ int i, n1, n2;
+ EL *el;
+ isl_space *space;
+ MULTI(BASE) *res;
+
+ if (!multi1 || !multi2)
+ goto error;
+
+ space = isl_space_range_product(FN(MULTI(BASE),get_space)(multi1),
+ FN(MULTI(BASE),get_space)(multi2));
+ res = FN(MULTI(BASE),alloc)(space);
+
+ n1 = FN(MULTI(BASE),dim)(multi1, isl_dim_out);
+ n2 = FN(MULTI(BASE),dim)(multi2, isl_dim_out);
+
+ for (i = 0; i < n1; ++i) {
+ el = FN(FN(MULTI(BASE),get),BASE)(multi1, i);
+ res = FN(FN(MULTI(BASE),set),BASE)(res, i, el);
+ }
+
+ for (i = 0; i < n2; ++i) {
+ el = FN(FN(MULTI(BASE),get),BASE)(multi2, i);
+ res = FN(FN(MULTI(BASE),set),BASE)(res, n1 + i, el);
+ }
+
+ FN(MULTI(BASE),free)(multi1);
+ FN(MULTI(BASE),free)(multi2);
+ return res;
+error:
+ FN(MULTI(BASE),free)(multi1);
+ FN(MULTI(BASE),free)(multi2);
+ return NULL;
+}
+
+__isl_give MULTI(BASE) *FN(MULTI(BASE),flatten_range)(
+ __isl_take MULTI(BASE) *multi)
+{
+ if (!multi)
+ return NULL;
+
+ if (!multi->space->nested[1])
+ return multi;
+
+ multi = FN(MULTI(BASE),cow)(multi);
+ if (!multi)
+ return NULL;
+
+ multi->space = isl_space_flatten_range(multi->space);
+ if (!multi->space)
+ return FN(MULTI(BASE),free)(multi);
+
+ return multi;
+}
+
+/* Given two MULTI(BASE)s A -> B and C -> D,
+ * construct a MULTI(BASE) (A * C) -> [B -> D].
+ */
+__isl_give MULTI(BASE) *FN(MULTI(BASE),flat_range_product)(
+ __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2)
+{
+ MULTI(BASE) *multi;
+
+ multi = FN(MULTI(BASE),range_product)(multi1, multi2);
+ multi = FN(MULTI(BASE),flatten_range)(multi);
+ return multi;
+}
+
+/* Given two multi expressions, "multi1"
+ *
+ * [A] -> [B1 B2]
+ *
+ * where B2 starts at position "pos", and "multi2"
+ *
+ * [A] -> [D]
+ *
+ * return the multi expression
+ *
+ * [A] -> [B1 D B2]
+ */
+__isl_give MULTI(BASE) *FN(MULTI(BASE),range_splice)(
+ __isl_take MULTI(BASE) *multi1, unsigned pos,
+ __isl_take MULTI(BASE) *multi2)
+{
+ MULTI(BASE) *res;
+ unsigned dim;
+
+ if (!multi1 || !multi2)
+ goto error;
+
+ dim = FN(MULTI(BASE),dim)(multi1, isl_dim_out);
+ if (pos > dim)
+ isl_die(FN(MULTI(BASE),get_ctx)(multi1), isl_error_invalid,
+ "index out of bounds", goto error);
+
+ res = FN(MULTI(BASE),copy)(multi1);
+ res = FN(MULTI(BASE),drop_dims)(res, isl_dim_out, pos, dim - pos);
+ multi1 = FN(MULTI(BASE),drop_dims)(multi1, isl_dim_out, 0, pos);
+
+ res = FN(MULTI(BASE),flat_range_product)(res, multi2);
+ res = FN(MULTI(BASE),flat_range_product)(res, multi1);
+
+ return res;
+error:
+ FN(MULTI(BASE),free)(multi1);
+ FN(MULTI(BASE),free)(multi2);
+ return NULL;
+}
+
+/* Given two multi expressions, "multi1"
+ *
+ * [A1 A2] -> [B1 B2]
+ *
+ * where A2 starts at position "in_pos" and B2 starts at position "out_pos",
+ * and "multi2"
+ *
+ * [C] -> [D]
+ *
+ * return the multi expression
+ *
+ * [A1 C A2] -> [B1 D B2]
+ *
+ * We first insert input dimensions to obtain
+ *
+ * [A1 C A2] -> [B1 B2]
+ *
+ * and
+ *
+ * [A1 C A2] -> [D]
+ *
+ * and then apply range_splice.
+ */
+__isl_give MULTI(BASE) *FN(MULTI(BASE),splice)(
+ __isl_take MULTI(BASE) *multi1, unsigned in_pos, unsigned out_pos,
+ __isl_take MULTI(BASE) *multi2)
+{
+ unsigned n_in1;
+ unsigned n_in2;
+
+ if (!multi1 || !multi2)
+ goto error;
+
+ n_in1 = FN(MULTI(BASE),dim)(multi1, isl_dim_in);
+ if (in_pos > n_in1)
+ isl_die(FN(MULTI(BASE),get_ctx)(multi1), isl_error_invalid,
+ "index out of bounds", goto error);
+
+ n_in2 = FN(MULTI(BASE),dim)(multi2, isl_dim_in);
+
+ multi1 = FN(MULTI(BASE),insert_dims)(multi1, isl_dim_in, in_pos, n_in2);
+ multi2 = FN(MULTI(BASE),insert_dims)(multi2, isl_dim_in, n_in2,
+ n_in1 - in_pos);
+ multi2 = FN(MULTI(BASE),insert_dims)(multi2, isl_dim_in, 0, in_pos);
+
+ return FN(MULTI(BASE),range_splice)(multi1, out_pos, multi2);
+error:
+ FN(MULTI(BASE),free)(multi1);
+ FN(MULTI(BASE),free)(multi2);
+ return NULL;
+}
+
+/* This function is currently only used from isl_aff.c
+ */
+static __isl_give MULTI(BASE) *FN(MULTI(BASE),bin_op)(
+ __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2,
+ __isl_give EL *(*fn)(__isl_take EL *, __isl_take EL *))
+ __attribute__ ((unused));
+
+/* Pairwise perform "fn" to the elements of "multi1" and "multi2" and
+ * return the result.
+ */
+static __isl_give MULTI(BASE) *FN(MULTI(BASE),bin_op)(
+ __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2,
+ __isl_give EL *(*fn)(__isl_take EL *, __isl_take EL *))
+{
+ int i;
+ isl_ctx *ctx;
+
+ multi1 = FN(MULTI(BASE),cow)(multi1);
+ if (!multi1 || !multi2)
+ goto error;
+
+ ctx = FN(MULTI(BASE),get_ctx)(multi1);
+ if (!isl_space_is_equal(multi1->space, multi2->space))
+ isl_die(ctx, isl_error_invalid,
+ "spaces don't match", goto error);
+
+ for (i = 0; i < multi1->n; ++i) {
+ multi1->p[i] = fn(multi1->p[i], FN(EL,copy)(multi2->p[i]));
+ if (!multi1->p[i])
+ goto error;
+ }
+
+ FN(MULTI(BASE),free)(multi2);
+ return multi1;
+error:
+ FN(MULTI(BASE),free)(multi1);
+ FN(MULTI(BASE),free)(multi2);
+ return NULL;
+}