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+// -*- C++ -*-
+
+// Copyright (C) 2005-2014 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the terms
+// of the GNU General Public License as published by the Free Software
+// Foundation; either version 3, or (at your option) any later
+// version.
+
+// This library is distributed in the hope that it will be useful, but
+// WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+// General Public License for more details.
+
+// Under Section 7 of GPL version 3, you are granted additional
+// permissions described in the GCC Runtime Library Exception, version
+// 3.1, as published by the Free Software Foundation.
+
+// You should have received a copy of the GNU General Public License and
+// a copy of the GCC Runtime Library Exception along with this program;
+// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+// <http://www.gnu.org/licenses/>.
+
+// Copyright (C) 2004 Ami Tavory and Vladimir Dreizin, IBM-HRL.
+
+// Permission to use, copy, modify, sell, and distribute this software
+// is hereby granted without fee, provided that the above copyright
+// notice appears in all copies, and that both that copyright notice
+// and this permission notice appear in supporting documentation. None
+// of the above authors, nor IBM Haifa Research Laboratories, make any
+// representation about the suitability of this software for any
+// purpose. It is provided "as is" without express or implied
+// warranty.
+
+/**
+ * @file tag_and_trait.hpp
+ * Contains tags and traits, e.g., ones describing underlying
+ * data structures.
+ */
+
+#ifndef PB_DS_TAG_AND_TRAIT_HPP
+#define PB_DS_TAG_AND_TRAIT_HPP
+
+#include <bits/c++config.h>
+#include <ext/pb_ds/detail/type_utils.hpp>
+
+/**
+ * @namespace __gnu_pbds
+ * @brief GNU extensions for policy-based data structures for public use.
+ */
+namespace __gnu_pbds
+{
+ /** @defgroup pbds Policy-Based Data Structures
+ * @ingroup extensions
+ *
+ * This is a library of policy-based elementary data structures:
+ * associative containers and priority queues. It is designed for
+ * high-performance, flexibility, semantic safety, and conformance
+ * to the corresponding containers in std (except for some points
+ * where it differs by design).
+ *
+ * For details, see:
+ * http://gcc.gnu.org/onlinedocs/libstdc++/ext/pb_ds/index.html
+ *
+ * @{
+ */
+
+ /**
+ * @defgroup tags Tags
+ * @{
+ */
+ /// A trivial iterator tag. Signifies that the iterators has none of
+ /// std::iterators's movement abilities.
+ struct trivial_iterator_tag
+ { };
+
+ /// Prohibit moving trivial iterators.
+ typedef void trivial_iterator_difference_type;
+
+
+ /**
+ * @defgroup invalidation_tags Invalidation Guarantees
+ * @ingroup tags
+ * @{
+ */
+
+ /**
+ * Signifies a basic invalidation guarantee that any iterator,
+ * pointer, or reference to a container object's mapped value type
+ * is valid as long as the container is not modified.
+ */
+ struct basic_invalidation_guarantee
+ { };
+
+ /**
+ * Signifies an invalidation guarantee that includes all those of
+ * its base, and additionally, that any point-type iterator,
+ * pointer, or reference to a container object's mapped value type
+ * is valid as long as its corresponding entry has not be erased,
+ * regardless of modifications to the container object.
+ */
+ struct point_invalidation_guarantee : public basic_invalidation_guarantee
+ { };
+
+ /**
+ * Signifies an invalidation guarantee that includes all those of
+ * its base, and additionally, that any range-type iterator
+ * (including the returns of begin() and end()) is in the correct
+ * relative positions to other range-type iterators as long as its
+ * corresponding entry has not be erased, regardless of
+ * modifications to the container object.
+ */
+ struct range_invalidation_guarantee : public point_invalidation_guarantee
+ { };
+ //@}
+
+
+ /**
+ * @defgroup ds_tags Data Structure Type
+ * @ingroup tags
+ * @{
+ */
+ /// Base data structure tag.
+ struct container_tag
+ { };
+
+ /// Basic sequence.
+ struct sequence_tag : public container_tag { };
+
+ /// Basic string container, inclusive of strings, ropes, etc.
+ struct string_tag : public sequence_tag { };
+
+ /// Basic associative-container.
+ struct associative_tag : public container_tag { };
+
+ /// Basic hash structure.
+ struct basic_hash_tag : public associative_tag { };
+
+ /// Collision-chaining hash.
+ struct cc_hash_tag : public basic_hash_tag { };
+
+ /// General-probing hash.
+ struct gp_hash_tag : public basic_hash_tag { };
+
+ /// Basic branch structure.
+ struct basic_branch_tag : public associative_tag { };
+
+ /// Basic tree structure.
+ struct tree_tag : public basic_branch_tag { };
+
+ /// Red-black tree.
+ struct rb_tree_tag : public tree_tag { };
+
+ /// Splay tree.
+ struct splay_tree_tag : public tree_tag { };
+
+ /// Ordered-vector tree.
+ struct ov_tree_tag : public tree_tag { };
+
+ /// Basic trie structure.
+ struct trie_tag : public basic_branch_tag { };
+
+ /// PATRICIA trie.
+ struct pat_trie_tag : public trie_tag { };
+
+ /// List-update.
+ struct list_update_tag : public associative_tag { };
+
+ /// Basic priority-queue.
+ struct priority_queue_tag : public container_tag { };
+
+ /// Pairing-heap.
+ struct pairing_heap_tag : public priority_queue_tag { };
+
+ /// Binomial-heap.
+ struct binomial_heap_tag : public priority_queue_tag { };
+
+ /// Redundant-counter binomial-heap.
+ struct rc_binomial_heap_tag : public priority_queue_tag { };
+
+ /// Binary-heap (array-based).
+ struct binary_heap_tag : public priority_queue_tag { };
+
+ /// Thin heap.
+ struct thin_heap_tag : public priority_queue_tag { };
+ //@}
+ //@}
+
+
+ /**
+ * @defgroup traits Traits
+ * @{
+ */
+
+ /**
+ * @brief Represents no type, or absence of type, for template tricks.
+ *
+ * In a mapped-policy, indicates that an associative container is a set.
+ *
+ * In a list-update policy, indicates that each link does not need
+ * metadata.
+ *
+ * In a hash policy, indicates that the combining hash function
+ * is actually a ranged hash function.
+ *
+ * In a probe policy, indicates that the combining probe function
+ * is actually a ranged probe function.
+ */
+ struct null_type { };
+
+ /// A null node updator, indicating that no node updates are required.
+ template<typename _Tp1, typename _Tp2, typename _Tp3, typename _Tp4>
+ struct null_node_update : public null_type
+ { };
+
+
+ /// Primary template, container traits base.
+ template<typename _Tag>
+ struct container_traits_base;
+
+ /// Specialization, cc hash.
+ template<>
+ struct container_traits_base<cc_hash_tag>
+ {
+ typedef cc_hash_tag container_category;
+ typedef point_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = false,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = false
+ };
+ };
+
+ /// Specialization, gp hash.
+ template<>
+ struct container_traits_base<gp_hash_tag>
+ {
+ typedef gp_hash_tag container_category;
+ typedef basic_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = false,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = false
+ };
+ };
+
+ /// Specialization, rb tree.
+ template<>
+ struct container_traits_base<rb_tree_tag>
+ {
+ typedef rb_tree_tag container_category;
+ typedef range_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = true,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = true
+ };
+ };
+
+ /// Specialization, splay tree.
+ template<>
+ struct container_traits_base<splay_tree_tag>
+ {
+ typedef splay_tree_tag container_category;
+ typedef range_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = true,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = true
+ };
+ };
+
+ /// Specialization, ov tree.
+ template<>
+ struct container_traits_base<ov_tree_tag>
+ {
+ typedef ov_tree_tag container_category;
+ typedef basic_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = true,
+ erase_can_throw = true,
+ split_join_can_throw = true,
+ reverse_iteration = false
+ };
+ };
+
+ /// Specialization, pat trie.
+ template<>
+ struct container_traits_base<pat_trie_tag>
+ {
+ typedef pat_trie_tag container_category;
+ typedef range_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = true,
+ erase_can_throw = false,
+ split_join_can_throw = true,
+ reverse_iteration = true
+ };
+ };
+
+ /// Specialization, list update.
+ template<>
+ struct container_traits_base<list_update_tag>
+ {
+ typedef list_update_tag container_category;
+ typedef point_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = false,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = false
+ };
+ };
+
+ /// Specialization, pairing heap.
+ template<>
+ struct container_traits_base<pairing_heap_tag>
+ {
+ typedef pairing_heap_tag container_category;
+ typedef point_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = false,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = false
+ };
+ };
+
+ /// Specialization, thin heap.
+ template<>
+ struct container_traits_base<thin_heap_tag>
+ {
+ typedef thin_heap_tag container_category;
+ typedef point_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = false,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = false
+ };
+ };
+
+ /// Specialization, binomial heap.
+ template<>
+ struct container_traits_base<binomial_heap_tag>
+ {
+ typedef binomial_heap_tag container_category;
+ typedef point_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = false,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = false
+ };
+ };
+
+ /// Specialization, rc binomial heap.
+ template<>
+ struct container_traits_base<rc_binomial_heap_tag>
+ {
+ typedef rc_binomial_heap_tag container_category;
+ typedef point_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = false,
+ erase_can_throw = false,
+ split_join_can_throw = false,
+ reverse_iteration = false
+ };
+ };
+
+ /// Specialization, binary heap.
+ template<>
+ struct container_traits_base<binary_heap_tag>
+ {
+ typedef binary_heap_tag container_category;
+ typedef basic_invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ order_preserving = false,
+ erase_can_throw = false,
+ split_join_can_throw = true,
+ reverse_iteration = false
+ };
+ };
+
+
+ /// Container traits.
+ // See Matt Austern for the name, S. Meyers MEFC++ #2, others.
+ template<typename Cntnr>
+ struct container_traits
+ : public container_traits_base<typename Cntnr::container_category>
+ {
+ typedef Cntnr container_type;
+ typedef typename Cntnr::container_category container_category;
+ typedef container_traits_base<container_category> base_type;
+ typedef typename base_type::invalidation_guarantee invalidation_guarantee;
+
+ enum
+ {
+ /// True only if Cntnr objects guarantee storing keys by order.
+ order_preserving = base_type::order_preserving,
+
+ /// True only if erasing a key can throw.
+ erase_can_throw = base_type::erase_can_throw,
+
+ /// True only if split or join operations can throw.
+ split_join_can_throw = base_type::split_join_can_throw,
+
+ /// True only reverse iterators are supported.
+ reverse_iteration = base_type::reverse_iteration
+ };
+ };
+ //@}
+
+
+ namespace detail
+ {
+ /// Dispatch mechanism, primary template for associative types.
+ template<typename Key, typename Mapped, typename _Alloc, typename Tag,
+ typename Policy_Tl = null_type>
+ struct container_base_dispatch;
+ } // namespace detail
+ //@}
+} // namespace __gnu_pbds
+
+#endif