Index: include/polly/Support/ISLTools.h
===================================================================
--- include/polly/Support/ISLTools.h
+++ include/polly/Support/ISLTools.h
@@ -16,6 +16,96 @@
 #define POLLY_ISLTOOLS_H
 
 #include "polly/Support/GICHelper.h"
+#include "llvm/ADT/iterator_range.h"
+
+namespace isl {
+inline namespace noexceptions {
+
+template <typename DerivedT, typename ElementT, typename ListT>
+struct iterator_base : public llvm::iterator_facade_base<
+                           iterator_base<DerivedT, ElementT, ListT>,
+                           std::forward_iterator_tag, ElementT> {
+  explicit iterator_base(const ListT &List) : List(&List) {
+    Position = static_cast<DerivedT *>(this)->list_size();
+  }
+  iterator_base(const ListT &List, int Position) : List(&List), Position(Position) {}
+  iterator_base &operator=(const iterator_base &R) = default;
+
+  bool operator==(const iterator_base &O) const {
+    return List == O.List && Position == O.Position;
+  }
+
+  DerivedT &operator++() {
+    ++Position;
+    return *static_cast<DerivedT *>(this);
+  }
+
+  DerivedT operator++(int) {
+    DerivedT Copy{static_cast<DerivedT *>(this)};
+    ++Position;
+    return Copy;
+  }
+
+protected:
+  const ListT *List;
+  int Position = 0;
+};
+
+struct map_iterator : iterator_base<map_iterator, isl::map, isl::map_list> {
+  using BaseT = iterator_base<map_iterator, isl::map, isl::map_list>;
+  using BaseT::BaseT;
+  isl::map operator*() const { return List->get_map(this->Position); }
+  int list_size() const { return this->List->n_map(); }
+};
+
+struct basic_map_iterator
+    : iterator_base<basic_map_iterator, isl::basic_map, isl::basic_map_list> {
+  using BaseT =
+      iterator_base<basic_map_iterator, isl::basic_map, isl::basic_map_list>;
+  using BaseT::BaseT;
+  isl::basic_map operator*() const {
+    return List->get_basic_map(this->Position);
+  }
+  int list_size() const { return this->List->n_basic_map(); }
+};
+
+struct set_iterator : iterator_base<set_iterator, isl::set, isl::set_list> {
+  using BaseT = iterator_base<set_iterator, isl::set, isl::set_list>;
+  using BaseT::BaseT;
+  isl::set operator*() const { return List->get_set(this->Position); }
+  int list_size() const { return this->List->n_set(); }
+};
+
+struct basic_set_iterator
+    : iterator_base<basic_set_iterator, isl::basic_set, isl::basic_set_list> {
+  using BaseT =
+      iterator_base<basic_set_iterator, isl::basic_set, isl::basic_set_list>;
+  using BaseT::BaseT;
+  isl::basic_set operator*() const {
+    return List->get_basic_set(this->Position);
+  }
+  int list_size() const { return this->List->n_basic_set(); }
+};
+
+inline map_iterator begin(const isl::map_list &M) { return map_iterator(M, 0); }
+inline map_iterator end(const isl::map_list &M) { return map_iterator(M); }
+inline set_iterator begin(const isl::set_list &M) { return set_iterator(M, 0); }
+inline set_iterator end(const isl::set_list &M) { return set_iterator(M); }
+inline basic_map_iterator begin(const isl::basic_map_list &M) {
+  return basic_map_iterator(M, 0);
+}
+inline basic_map_iterator end(const isl::basic_map_list &M) {
+  return basic_map_iterator(M);
+}
+inline basic_set_iterator begin(const isl::basic_set_list &M) {
+  return basic_set_iterator(M, 0);
+}
+inline basic_set_iterator end(const isl::basic_set_list &M) {
+  return basic_set_iterator(M);
+}
+
+} // namespace noexceptions
+} // namespace isl
 
 namespace polly {
 
Index: unittests/CMakeLists.txt
===================================================================
--- unittests/CMakeLists.txt
+++ unittests/CMakeLists.txt
@@ -24,3 +24,4 @@
 add_subdirectory(DeLICM)
 add_subdirectory(ScopPassManager)
 add_subdirectory(ScheduleOptimizer)
+add_subdirectory(Support)
Index: unittests/Support/CMakeLists.txt
===================================================================
--- /dev/null
+++ unittests/Support/CMakeLists.txt
@@ -0,0 +1,3 @@
+add_polly_unittest(ISLToolsTests
+  ISLTools.cpp
+  )
Index: unittests/Support/ISLTools.cpp
===================================================================
--- /dev/null
+++ unittests/Support/ISLTools.cpp
@@ -0,0 +1,25 @@
+#include "polly/Support/ISLTools.h"
+#include "gmock/gmock.h"
+#include "gtest/gtest.h"
+
+namespace isl {
+static bool operator==(const isl::basic_set &A, const isl::basic_set &B) {
+  return A.is_equal(B);
+}
+}
+
+TEST(Support, isl_iterator) {
+  isl::ctx Ctx(isl_ctx_alloc());
+  isl::basic_set A(
+      Ctx, "{ [x, y] : 0 <= x <= 5 and y >= 0 and x > 0 and 0 < y <= 5 }");
+  isl::basic_set B(
+      Ctx, "{ [x, y] : 0 <= x <= 5 and y >= 0 and x <= 4 and y <= 3 + x }");
+  isl::set S = A.unite(B);
+
+  ASSERT_EQ(S.n_basic_set(), 2);
+  std::vector<isl::basic_set> Sets;
+  for (auto BS : S.get_basic_set_list())
+    Sets.push_back(BS);
+  EXPECT_THAT(Sets, testing::UnorderedElementsAre(A, B));
+  isl_ctx_free(Ctx.release());
+}