Merge branch 'development' into fix_func_redecl_crash

Signed-off-by: siliconvoodoo <[email protected]>

src/AzslcEmitter.cpp

@@ -117,11 +117,6 @@ namespace AZ::ShaderCompiler
             const QualifiedNameView iteratedSymbolName = iteratedSymbolUid.GetName();
             const Kind iteratedSymbolKind = m_ir->GetKind(iteratedSymbolUid);
 
-            if (IsTopLevelThroughTranslation(iteratedSymbolUid))
-            {
-                EmitPreprocessorLineDirective(iteratedSymbolName);
-            }
-
             switch (iteratedSymbolKind)
             {
                 // top-level enums, structs and classes, as well as immediate-type-declaration enum/structs (`struct S{} s;`)
@@ -132,6 +127,8 @@ namespace AZ::ShaderCompiler
             {
                 if (IsTopLevelThroughTranslation(iteratedSymbolUid))
                 {
+                    EmitPreprocessorLineDirective(iteratedSymbolName);
+
                     auto* classInfo = m_ir->GetSymbolSubAs<ClassInfo>(iteratedSymbolName);
                     iteratedSymbolKind == Kind::Enum ?
                           EmitEnum(iteratedSymbolUid, *classInfo, options)
@@ -144,6 +141,8 @@ namespace AZ::ShaderCompiler
             {
                 if (IsTopLevelThroughTranslation(iteratedSymbolUid))
                 {
+                    EmitPreprocessorLineDirective(iteratedSymbolName);
+
                     auto* aliasInfo = m_ir->GetSymbolSubAs<TypeAliasInfo>(iteratedSymbolName);
                     EmitTypeAlias(iteratedSymbolUid, *aliasInfo, options);
                 }
@@ -175,6 +174,7 @@ namespace AZ::ShaderCompiler
                         break;
                     }
 
+                    EmitPreprocessorLineDirective(iteratedSymbolName);
                     EmitVariableDeclaration(*varInfo, iteratedSymbolUid, options, VarDeclHasFlag(VarDeclHas::Initializer));
                     m_out << ";\n";
                 }
@@ -183,6 +183,8 @@ namespace AZ::ShaderCompiler
                 // SRG
             case Kind::ShaderResourceGroup:
             {
+                EmitPreprocessorLineDirective(iteratedSymbolName);
+
                 auto* srgSub = m_ir->GetSymbolSubAs<SRGInfo>(iteratedSymbolName);
                 EmitSRG(*srgSub, iteratedSymbolUid, options, rootSig);
                 break;
@@ -190,6 +192,8 @@ namespace AZ::ShaderCompiler
                 // function
             case Kind::Function:
             {
+                EmitPreprocessorLineDirective(iteratedSymbolName);
+
                 auto* funcSub = m_ir->GetSymbolSubAs<FunctionInfo>(iteratedSymbolName);
                 const bool alreadyDeclared = AlreadyEmittedFunctionDeclaration(iteratedSymbolUid);
                 assert(!funcSub->IsEmpty());

src/AzslcKindInfo.h

@@ -170,7 +170,7 @@ namespace AZ::ShaderCompiler
             // define a single generic visitor functor for the variant.
             // We are lucky that all AST nodes have a start object.
             // So this code compiles and work for all 5 types of nodes.
-            return std::visit([](auto&& arg)
+            return StdUtils::visit([](auto&& arg)
                                    {
                                        return static_cast<antlr4::ParserRuleContext*>(arg);
                                    }, m_declNodeVt);
@@ -185,7 +185,7 @@ namespace AZ::ShaderCompiler
         //! get Name token from declaration contexts
         const Token* GetDeclNodeNameToken() const
         {
-            return std::visit([](auto&& arg)
+            return StdUtils::visit([](auto&& arg)
                                    {
                                        return arg->Name;
                                    }, m_declNodeVt);
@@ -204,13 +204,13 @@ namespace AZ::ShaderCompiler
         template<typename T>
         T* Get()
         {
-            return (std::holds_alternative<T>(m_subInfo)) ? &std::get<T>(m_subInfo) : (T*)nullptr;
+            return (holds_alternative<T>(m_subInfo)) ? &get<T>(m_subInfo) : (T*)nullptr;
         }
 
         template<typename T>
         const T* Get() const
         {
-            return (std::holds_alternative<T>(m_subInfo)) ? &std::get<T>(m_subInfo) : (T*)nullptr;
+            return (holds_alternative<T>(m_subInfo)) ? &get<T>(m_subInfo) : (T*)nullptr;
         }
 
         Kind                           m_kind;   // which of class/struct/interface/srgsemantic ? (repetition of data in the upper KindInfo)
@@ -868,14 +868,14 @@ namespace AZ::ShaderCompiler
         template<typename T>
         const T* GetSubAs() const
         {
-            return (std::holds_alternative<T>(m_subInfo)) ? &std::get<T>(m_subInfo) : (const T*)nullptr;
+            return (holds_alternative<T>(m_subInfo)) ? &get<T>(m_subInfo) : (const T*)nullptr;
         }
 
         //! mutable version
         template<typename T>
         T* GetSubAs()
         {
-            return (std::holds_alternative<T>(m_subInfo)) ? &std::get<T>(m_subInfo) : (T*)nullptr;
+            return (holds_alternative<T>(m_subInfo)) ? &get<T>(m_subInfo) : (T*)nullptr;
         }
 
         //! Throwing version (bad_access) of above helper, gets a reference on success
@@ -972,7 +972,7 @@ namespace AZ::ShaderCompiler
         template<typename Visitor>
         auto VisitSub(Visitor&& v) const
         {
-            return std::visit(std::forward<Visitor>(v), m_subInfo);
+            return StdUtils::visit(std::forward<Visitor>(v), m_subInfo);
         }
 
     private:

src/AzslcMain.cpp

@@ -23,8 +23,7 @@ namespace StdFs = std::filesystem;
 // For large features or milestones. Minor version allows for breaking changes. Existing tests can change.
 #define AZSLC_MINOR "8"   // last change: introduction of class inheritance
 // For small features or bug fixes. They cannot introduce breaking changes. Existing tests shouldn't change.
-#define AZSLC_REVISION "11"  // last change: fix redeclaration as func causes internal crash.
-
+#define AZSLC_REVISION "12"  // last change: reduce useless sharp-line directives
 
 namespace AZ::ShaderCompiler
 {

src/AzslcReflection.cpp

@@ -661,7 +661,7 @@ namespace AZ::ShaderCompiler
             // Try to locate the original filename where this SRG is declared
             size_t physical = srgInfo->m_declNode->getStart()->getLine();
             srgLayout["originalFileName"]   = StdFs::absolute(lineFinder->GetVirtualFileName(physical)).lexically_normal().generic_string();
-            srgLayout["originalLineNumber"] = lineFinder->GetVirtualLineNumber(physical);
+            srgLayout["originalLineNumber"] = static_cast<Json::Value::UInt64>(lineFinder->GetVirtualLineNumber(physical));
 
             auto semantic = m_ir->GetSymbolSubAs<ClassInfo>(srgInfo->m_semantic->GetName())->Get<SRGSemanticInfo>();
 

src/AzslcSymbolTable.cpp

@@ -27,7 +27,7 @@ namespace AZ::ShaderCompiler
         return iter == m_symbols.cend() ? nullptr : &(*iter);
     }
 
-    bool SymbolTable::DeleteIdentifier(IdentifierUID name)
+    bool SymbolTable::DeleteIdentifier(const IdentifierUID& name)
     {
         auto iter = m_symbols.find(name);
         bool found = iter != m_symbols.end();
@@ -40,6 +40,17 @@ namespace AZ::ShaderCompiler
         return found;
     }
 
+    void SymbolTable::MigrateOrder(const IdentifierUID& symbol, const IdentifierUID& before)
+    {
+        // For use in PadToAttributeMutator::InsertPaddingVariables::createVariableInSymbolTable
+        auto beforeSymbolIter = std::find(m_order.begin(), m_order.end(), before);
+        if (beforeSymbolIter != m_order.end())
+        {
+            m_order.erase(std::remove(m_order.begin(), m_order.end(), symbol), m_order.end());
+            m_order.insert(beforeSymbolIter, symbol);
+        }
+    }
+
     IdAndKind& SymbolTable::AddIdentifier(QualifiedNameView symbol, Kind kind, optional<size_t> lineNumber /*= none*/)
     {
         IdentifierUID idUID{symbol};
@@ -56,13 +67,6 @@ namespace AZ::ShaderCompiler
                                      ConcatString("ODR (One Definition Rule) violation. Redeclaration of ",
                                                   Kind::ToStr(kind), " ", ExtractLeaf(symbol), " in ", LevelUp(symbol), "  ",
                                                   GetFirstSeenLineMessage(fetchedIdIt->second), "\n"));
-
-                // Since a redeclaration becomes the new identity, we must erase its old appearance in the order list:
-                //  (motivated by the requirement that if we emit a function body, it can't be at the site of its first declaration.
-                //   since the definition is the only guaranteed place where the body will not refer to yet-undeclared symbols)
-                //  As a bonus, it also cleans-up the --dumpsym option which had duplicated output.
-                //  (reinstates the invariant of unicity of apparition)
-                m_order.erase(std::remove(m_order.begin(), m_order.end(), fetchedIdIt->first), m_order.end());
             }
         }
         else

src/AzslcSymbolTable.h

@@ -23,13 +23,17 @@ namespace AZ::ShaderCompiler
 
         auto GetIdAndKindInfo(QualifiedNameView symbol) const -> const IdAndKind*;
 
-        /// Register a fresh entry in the symbol map. No KindInfo filled up, the client must do it.
-        /// Will return a reference to the newly inserted data.
-        /// Will throw in case of ODR violation.
+        //! Register a fresh entry in the symbol map. No KindInfo filled up, the client must do it.
+        //! Will return a reference to the newly inserted data.
+        //! Will throw in case of ODR violation.
         auto AddIdentifier(QualifiedNameView symbol, Kind kind, optional<size_t> lineNumber = none) -> IdAndKind&;
 
-        /// Return true if found and deleted
-        bool DeleteIdentifier(IdentifierUID name);
+        //! Can be used to hack the position of a symbol added late, after the phase of semantic check.
+        //! Typically hidden symbols added by the compiler such as implicit structs or padding fields.
+        void MigrateOrder(const IdentifierUID& symbol, const IdentifierUID& before);
+
+        //! Return true if found and deleted
+        bool DeleteIdentifier(const IdentifierUID& name);
 
         // [GFX TODO]2: use densemap/oahm to avoid fragmentation (depends on [Task 5])
         IdToKindMap           m_symbols;   // declarations of any kind and attached information (unordered bag, but O(1+) lookup)

src/CMakeLists.txt

@@ -5,20 +5,20 @@ project (Azslc)
 include(FetchContent)
 
 FetchContent_Declare(
-    cli11
-    GIT_REPOSITORY https://github.com/CLIUtils/CLI11.git
-    GIT_TAG 3ce61a169297f5fe7d4b08bdbfa82290950d6f7f
+  cli11
+  GIT_REPOSITORY https://github.com/CLIUtils/CLI11.git
+  GIT_TAG 3ce61a169297f5fe7d4b08bdbfa82290950d6f7f
 )
 
 # Antlr4 external dependency
 FetchContent_Declare(
-    antlr4
-    GIT_REPOSITORY https://github.com/o3de/antlr4.git
-    GIT_TAG o3de-4.9.3
-    SOURCE_SUBDIR runtime/Cpp
-    CMAKE_ARGS "-DCMAKE_BUILD_TYPE=Release"
-    GIT_SHALLOW TRUE
-    GIT_PROGRESS TRUE
+  antlr4
+  GIT_REPOSITORY https://github.com/o3de/antlr4.git
+  GIT_TAG o3de-4.9.3
+  SOURCE_SUBDIR runtime/Cpp
+  CMAKE_ARGS "-DCMAKE_BUILD_TYPE=Release"
+  GIT_SHALLOW TRUE
+  GIT_PROGRESS TRUE
 )
 
 FetchContent_MakeAvailable(cli11 antlr4)
@@ -27,30 +27,40 @@ FetchContent_MakeAvailable(cli11 antlr4)
 string(REGEX MATCH "[^/\\]*$" buildPlatform ${CMAKE_BINARY_DIR})
 
 file(GLOB_RECURSE  azslc_PlatformSRC
-    "${PROJECT_SOURCE_DIR}/../Platform/*.cpp"
-    "${PROJECT_SOURCE_DIR}/../Platform/*.h"
+  "${PROJECT_SOURCE_DIR}/../Platform/*.cpp"
+  "${PROJECT_SOURCE_DIR}/../Platform/*.h"
 )
 
 file(GLOB azslc_LocalSRC
-    "${PROJECT_SOURCE_DIR}/*.cpp"
-    "${PROJECT_SOURCE_DIR}/*.tpl"
-    "${PROJECT_SOURCE_DIR}/*.h"
+  "${PROJECT_SOURCE_DIR}/*.cpp"
+  "${PROJECT_SOURCE_DIR}/*.tpl"
+  "${PROJECT_SOURCE_DIR}/*.h"
 )
 
 file(GLOB azslc_ExternalSRC
-    "${PROJECT_SOURCE_DIR}/external/jsoncpp/dist/json/*.h"
-    "${PROJECT_SOURCE_DIR}/external/jsoncpp/dist/*.cpp"
+  "${PROJECT_SOURCE_DIR}/external/jsoncpp/dist/json/*.h"
+  "${PROJECT_SOURCE_DIR}/external/jsoncpp/dist/*.cpp"
+  "${PROJECT_SOURCE_DIR}/external/mpark-variant/master/*.hpp"
+  "${PROJECT_SOURCE_DIR}/external/tiny/*.h"
 )
 
 file(GLOB azslc_GeneratedSrc
-    "${PROJECT_SOURCE_DIR}/generated/*.cpp"
+  "${PROJECT_SOURCE_DIR}/generated/*.cpp"
 )
 
 set( ANTLR4CPP_INCLUDE_DIRS
-    ${antlr4_SOURCE_DIR}/runtime/Cpp/runtime/src
-    ${antlr4_SOURCE_DIR}/runtime/Cpp/runtime/src/dfa
-    ${antlr4_SOURCE_DIR}/runtime/Cpp/runtime/src/misc
-    ${antlr4_SOURCE_DIR}/runtime/Cpp/runtime/src/tree
+  ${antlr4_SOURCE_DIR}/runtime/Cpp/runtime/src
+  ${antlr4_SOURCE_DIR}/runtime/Cpp/runtime/src/dfa
+  ${antlr4_SOURCE_DIR}/runtime/Cpp/runtime/src/misc
+  ${antlr4_SOURCE_DIR}/runtime/Cpp/runtime/src/tree
+)
+
+set( MPARK_VARIANT_INCLUDE_DIRS
+  ${PROJECT_SOURCE_DIR}/external/mpark-variant/master
+)
+
+set( TINY_OPTIONAL_INCLUDE_DIRS
+  ${PROJECT_SOURCE_DIR}/external/tiny
 )
 
 add_executable(azslc ${azslc_LocalSRC} ${azslc_PlatformSRC} ${azslc_GeneratedSrc} ${azslc_ExternalSRC})
@@ -58,11 +68,13 @@ add_executable(azslc ${azslc_LocalSRC} ${azslc_PlatformSRC} ${azslc_GeneratedSrc
 target_compile_features(azslc PRIVATE cxx_std_17)
 
 target_include_directories(
-    azslc
-    PRIVATE
-    ${PROJECT_SOURCE_DIR}
-    ${PROJECT_SOURCE_DIR}/external
-    ${ANTLR4CPP_INCLUDE_DIRS}
+  azslc
+  PRIVATE
+  ${PROJECT_SOURCE_DIR}
+  ${PROJECT_SOURCE_DIR}/external
+  ${ANTLR4CPP_INCLUDE_DIRS}
+  ${MPARK_VARIANT_INCLUDE_DIRS}
+  ${TINY_OPTIONAL_INCLUDE_DIRS}
 )
 
 source_group("azslc" FILES ${azslc_LocalSRC})
@@ -71,29 +83,29 @@ source_group("external" FILES ${azslc_ExternalSRC})
 source_group("platforms" FILES ${azslc_PlatformSRC})
 
 if (MSVC)
-    set_property(TARGET azslc PROPERTY MSVC_RUNTIME_LIBRARY "MultiThreaded$<$<CONFIG:Debug>:Debug>")
-    target_compile_options(azslc
-        PRIVATE
-        "/MP" # Build with multiple processes
-        "/permissive-"
-        "/Zc:__cplusplus"
-        "/utf-8")
-    target_compile_definitions(azslc
-        PRIVATE
-        _CRT_SECURE_NO_WARNINGS
-        _SILENCE_CXX17_CODECVT_HEADER_DEPRECATION_WARNING
-        ANTLR4CPP_STATIC)
+  set_property(TARGET azslc PROPERTY MSVC_RUNTIME_LIBRARY "MultiThreaded$<$<CONFIG:Debug>:Debug>")
+  target_compile_options(azslc
+    PRIVATE
+    "/MP" # Build with multiple processes
+    "/permissive-"
+    "/Zc:__cplusplus"
+    "/utf-8")
+  target_compile_definitions(azslc
+    PRIVATE
+    _CRT_SECURE_NO_WARNINGS
+    _SILENCE_CXX17_CODECVT_HEADER_DEPRECATION_WARNING
+    ANTLR4CPP_STATIC)
 elseif (UNIX AND NOT APPLE)
-    target_link_libraries(azslc PRIVATE stdc++fs)
+  target_link_libraries(azslc PRIVATE stdc++fs)
 endif()
 
 target_link_libraries(azslc PRIVATE CLI11::CLI11 antlr4_static)
 
 if (MSVC)
-    add_custom_command(TARGET azslc POST_BUILD
-        COMMAND ${CMAKE_COMMAND} -E make_directory "${PROJECT_SOURCE_DIR}/../bin/${buildPlatform}/$(Configuration)"
-        COMMAND ${CMAKE_COMMAND} -E copy "${CMAKE_BINARY_DIR}/$(Configuration)/azslc.exe" "${PROJECT_SOURCE_DIR}/../bin/${buildPlatform}/$(Configuration)"
-    )
+  add_custom_command(TARGET azslc POST_BUILD
+      COMMAND ${CMAKE_COMMAND} -E make_directory "${PROJECT_SOURCE_DIR}/../bin/${buildPlatform}/$(Configuration)"
+      COMMAND ${CMAKE_COMMAND} -E copy "${CMAKE_BINARY_DIR}/$(Configuration)/azslc.exe" "${PROJECT_SOURCE_DIR}/../bin/${buildPlatform}/$(Configuration)"
+)
 endif()
 
 set_property(GLOBAL PROPERTY USE_FOLDERS ON)

src/MetaUtils.h

@@ -370,7 +370,7 @@ namespace AZ
 
 #ifndef NDEBUG
 #include <cassert>
-#include <variant>
+#include "variant.hpp"
 #include <string>
 
 namespace AZ::Tests
@@ -397,10 +397,10 @@ namespace AZ::Tests
             });
 
         {  // check that the variant factory works
-            using std::variant;
-            using std::monostate;
-            using std::get;
-            using std::holds_alternative;
+            using mpark::variant;
+            using mpark::monostate;
+            using mpark::get;
+            using mpark::holds_alternative;
 
             struct S { bool b = true; };
             using V = variant<monostate, int, string, S>;

src/PadToAttributeMutator.cpp

@@ -477,7 +477,7 @@ namespace AZ::ShaderCompiler
         {
             const auto alignedOffset = Packing::AlignUp(startingOffset, 16);
             const auto deltaBytes = alignedOffset - startingOffset;
-            if (deltaBytes < numBytesToAdd)
+            if (deltaBytes < numBytesToAdd && deltaBytes != 0)
             {
                 string typeName = getFloatTypeNameOfSize(deltaBytes);
                 auto variableName = FormatString("__pad_at%u", startingOffset);
@@ -489,6 +489,7 @@ namespace AZ::ShaderCompiler
                 else
                 {
                     classInfo->InsertBefore(newVarUid, Kind::Variable, insertBeforeThisUid);
+                    m_ir.m_symbols.m_elastic.MigrateOrder(newVarUid, insertBeforeThisUid);
                 }
                 numAddedVariables++;
                 numBytesToAdd -= deltaBytes;
@@ -510,6 +511,7 @@ namespace AZ::ShaderCompiler
                 else
                 {
                     classInfo->InsertBefore(newVarUid, Kind::Variable, insertBeforeThisUid);
+                    m_ir.m_symbols.m_elastic.MigrateOrder(newVarUid, insertBeforeThisUid);
                 }
                 numAddedVariables++;
                 numBytesToAdd -= (numFloat4s << 4);
@@ -530,6 +532,7 @@ namespace AZ::ShaderCompiler
             else
             {
                 classInfo->InsertBefore(newVarUid, Kind::Variable, insertBeforeThisUid);
+                m_ir.m_symbols.m_elastic.MigrateOrder(newVarUid, insertBeforeThisUid);
             }
             numAddedVariables++;
         }

src/StdUtils.h

@@ -10,6 +10,15 @@
 // setup of low level library includes in this file.
 // if not defined -> fallback to std
 
+#ifdef _WIN32 
+// I don't recommend custom lib utilities on windows because they don't have natvis and are hard to debug.
+#elif __APPLE__
+#define USE_TINY_OPTIONAL
+#define USE_MPARK_VARIANT
+#else
+// Use the proper std lib
+#endif
+
 #include <cassert>
 #include <cctype>
 #include <cfloat>
@@ -26,24 +35,52 @@
 #include <tuple>
 #include <unordered_map>
 #include <unordered_set>
+
+#ifdef USE_MPARK_VARIANT
+#include "variant.hpp"
+namespace StdUtils = mpark;
+#else
 #include <variant>
-#include <optional>
+namespace StdUtils = std;
+#endif
 
+#if defined(USE_MPARK_VARIANT) && !defined(_WIN32)
+// one shortcut for is_invocable, because Xcode9 couldn't get it right:
+template <typename C, typename... T>
+using is_invocable = mpark::lib::is_invocable<C, T...>;
+// same for invoke_result
+template <typename C, typename... T>
+using invoke_result_t = mpark::lib::invoke_result_t<C, T...>;
+#else
 template <typename C, typename... T>
 using is_invocable = std::is_invocable<C, T...>;
 
 template <typename C, typename... T>
 using invoke_result_t = std::invoke_result_t<C, T...>;
+#endif
 
+#if defined(USE_TINY_OPTIONAL)
+#include <tiny/optional.h>
+#else // std
+#include <optional>
 inline constexpr auto none = std::nullopt;
+#endif
 
 namespace AZ
 {
-    using std::get;
-    using std::holds_alternative;
-    using std::monostate;
-    using std::variant;
+    // C++17 `std::variant` for C++11/14/17
+    using StdUtils::get;
+    using StdUtils::holds_alternative;
+    using StdUtils::monostate;
+    using StdUtils::variant;
+
+    // Alternatives for the C++17 std::optional
+#if defined(USE_TINY_OPTIONAL)
+    using tiny::none;
+    using tiny::optional;
+#else
     using std::optional;
+#endif
 
     // Configure basic symbols so we can use them unqualified -> easy to change to AzStd without big refactorings.
 
@@ -69,6 +106,21 @@ namespace AZ
     template <typename SetType>
     void SetMerge(SetType& dest, SetType& src)
     {
-		dest.merge(src);
+#ifdef __APPLE__
+        for (auto it = src.begin(); it != src.end(); )
+        {
+            if (dest.find(*it) == dest.end())
+            {
+                dest.insert(std::move(*it));
+                it = src.erase(it);
+            }
+            else
+            {
+                ++it;
+            }
+        }
+#else
+		dest.merge(src); // when you have correct libraries.
+#endif
     }
 }

src/external/mpark-variant/LICENSE.md

@@ -0,0 +1,23 @@
+Boost Software License - Version 1.0 - August 17th, 2003
+
+Permission is hereby granted, free of charge, to any person or organization
+obtaining a copy of the software and accompanying documentation covered by
+this license (the "Software") to use, reproduce, display, distribute,
+execute, and transmit the Software, and to prepare derivative works of the
+Software, and to permit third-parties to whom the Software is furnished to
+do so, all subject to the following:
+
+The copyright notices in the Software and this entire statement, including
+the above license grant, this restriction and the following disclaimer,
+must be included in all copies of the Software, in whole or in part, and
+all derivative works of the Software, unless such copies or derivative
+works are solely in the form of machine-executable object code generated by
+a source language processor.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT
+SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE
+FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE,
+ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+DEALINGS IN THE SOFTWARE.

src/external/mpark-variant/README.md

@@ -0,0 +1,37 @@
+# MPark.Variant
+
+> __C++17__ `std::variant` for __C++11__/__14__/__17__
+
+[![release][badge.release]][release]
+[![header][badge.header]][header]
+[![travis][badge.travis]][travis]
+[![appveyor][badge.appveyor]][appveyor]
+[![license][badge.license]][license]
+[![godbolt][badge.godbolt]][godbolt]
+[![wandbox][badge.wandbox]][wandbox]
+
+[badge.release]: https://img.shields.io/github/release/mpark/variant.svg
+[badge.header]: https://img.shields.io/badge/single%20header-master-blue.svg
+[badge.travis]: https://travis-ci.org/mpark/variant.svg?branch=master
+[badge.appveyor]: https://ci.appveyor.com/api/projects/status/github/mpark/variant?branch=master&svg=true
+[badge.license]: https://img.shields.io/badge/license-boost-blue.svg
+[badge.godbolt]: https://img.shields.io/badge/try%20it-on%20godbolt-222266.svg
+[badge.wandbox]: https://img.shields.io/badge/try%20it-on%20wandbox-5cb85c.svg
+
+[release]: https://github.com/mpark/variant/releases/latest
+[header]: https://github.com/mpark/variant/blob/single-header/master/variant.hpp
+[travis]: https://travis-ci.org/mpark/variant
+[appveyor]: https://ci.appveyor.com/project/mpark/variant
+[license]: https://github.com/mpark/variant/blob/master/LICENSE.md
+[godbolt]: https://godbolt.org/z/4r7hEy
+[wandbox]: https://wandbox.org/permlink/dTZxf85MVhehOqx1
+
+## Single Header
+
+This branch provides a standalone `variant.hpp` file for each
+[release](https://github.com/mpark/variant/releases).
+Copy it and `#include` away!
+
+## License
+
+Distributed under the [Boost Software License, Version 1.0](LICENSE.md).

src/external/mpark-variant/master/variant.hpp

@@ -0,0 +1,2784 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    T& emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    T& emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    variant_alternative<I, variant>& emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    variant_alternative<I, variant>& emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <limits>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_CONFIG_HPP
+#define MPARK_CONFIG_HPP
+
+// MSVC 2015 Update 3.
+#if __cplusplus < 201103L && (!defined(_MSC_VER) || _MSC_FULL_VER < 190024210)
+#error "MPark.Variant requires C++11 support."
+#endif
+
+#ifndef __has_attribute
+#define __has_attribute(x) 0
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#ifndef __has_include
+#define __has_include(x) 0
+#endif
+
+#ifndef __has_feature
+#define __has_feature(x) 0
+#endif
+
+#if __has_attribute(always_inline) || defined(__GNUC__)
+#define MPARK_ALWAYS_INLINE __attribute__((__always_inline__)) inline
+#elif defined(_MSC_VER)
+#define MPARK_ALWAYS_INLINE __forceinline
+#else
+#define MPARK_ALWAYS_INLINE inline
+#endif
+
+#if __has_builtin(__builtin_addressof) || \
+    (defined(__GNUC__) && __GNUC__ >= 7) || defined(_MSC_VER)
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__builtin_unreachable) || defined(__GNUC__)
+#define MPARK_BUILTIN_UNREACHABLE __builtin_unreachable()
+#elif defined(_MSC_VER)
+#define MPARK_BUILTIN_UNREACHABLE __assume(false)
+#else
+#define MPARK_BUILTIN_UNREACHABLE
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 200704 && \
+    !(defined(__GNUC__) && __GNUC__ == 4 && __GNUC_MINOR__ == 9)
+#define MPARK_CPP11_CONSTEXPR
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 201304
+#define MPARK_CPP14_CONSTEXPR
+#endif
+
+#if __has_feature(cxx_exceptions) || defined(__cpp_exceptions) || \
+    (defined(_MSC_VER) && defined(_CPPUNWIND))
+#define MPARK_EXCEPTIONS
+#endif
+
+#if defined(__cpp_generic_lambdas) || defined(_MSC_VER)
+#define MPARK_GENERIC_LAMBDAS
+#endif
+
+#if defined(__cpp_lib_integer_sequence)
+#define MPARK_INTEGER_SEQUENCE
+#endif
+
+#if defined(__cpp_return_type_deduction) || defined(_MSC_VER)
+#define MPARK_RETURN_TYPE_DEDUCTION
+#endif
+
+#if defined(__cpp_lib_transparent_operators) || defined(_MSC_VER)
+#define MPARK_TRANSPARENT_OPERATORS
+#endif
+
+#if defined(__cpp_variable_templates) || defined(_MSC_VER)
+#define MPARK_VARIABLE_TEMPLATES
+#endif
+
+#if !defined(__GLIBCXX__) || __has_include(<codecvt>)  // >= libstdc++-5
+#define MPARK_TRIVIALITY_TYPE_TRAITS
+#define MPARK_INCOMPLETE_TYPE_TRAITS
+#endif
+
+#endif  // MPARK_CONFIG_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+
+namespace mpark {
+
+  struct in_place_t { explicit in_place_t() = default; };
+
+  template <std::size_t I>
+  struct in_place_index_t { explicit in_place_index_t() = default; };
+
+  template <typename T>
+  struct in_place_type_t { explicit in_place_type_t() = default; };
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I> constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T> constexpr in_place_type_t<T> in_place_type{};
+#endif
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_LIB_HPP
+#define MPARK_LIB_HPP
+
+#include <memory>
+#include <functional>
+#include <type_traits>
+#include <utility>
+
+
+#define MPARK_RETURN(...) \
+  noexcept(noexcept(__VA_ARGS__)) -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+namespace mpark {
+  namespace lib {
+    template <typename T>
+    struct identity { using type = T; };
+
+    inline namespace cpp14 {
+      template <typename T, std::size_t N>
+      struct array {
+        constexpr const T &operator[](std::size_t index) const {
+          return data[index];
+        }
+
+        T data[N == 0 ? 1 : N];
+      };
+
+      template <typename T>
+      using add_pointer_t = typename std::add_pointer<T>::type;
+
+      template <typename... Ts>
+      using common_type_t = typename std::common_type<Ts...>::type;
+
+      template <typename T>
+      using decay_t = typename std::decay<T>::type;
+
+      template <bool B, typename T = void>
+      using enable_if_t = typename std::enable_if<B, T>::type;
+
+      template <typename T>
+      using remove_const_t = typename std::remove_const<T>::type;
+
+      template <typename T>
+      using remove_reference_t = typename std::remove_reference<T>::type;
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &t) noexcept {
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &&t) noexcept {
+        static_assert(!std::is_lvalue_reference<T>::value,
+                      "can not forward an rvalue as an lvalue");
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr remove_reference_t<T> &&move(T &&t) noexcept {
+        return static_cast<remove_reference_t<T> &&>(t);
+      }
+
+#ifdef MPARK_INTEGER_SEQUENCE
+      using std::integer_sequence;
+      using std::index_sequence;
+      using std::make_index_sequence;
+      using std::index_sequence_for;
+#else
+      template <typename T, T... Is>
+      struct integer_sequence {
+        using value_type = T;
+        static constexpr std::size_t size() noexcept { return sizeof...(Is); }
+      };
+
+      template <std::size_t... Is>
+      using index_sequence = integer_sequence<std::size_t, Is...>;
+
+      template <typename Lhs, typename Rhs>
+      struct make_index_sequence_concat;
+
+      template <std::size_t... Lhs, std::size_t... Rhs>
+      struct make_index_sequence_concat<index_sequence<Lhs...>,
+                                        index_sequence<Rhs...>>
+          : identity<index_sequence<Lhs..., (sizeof...(Lhs) + Rhs)...>> {};
+
+      template <std::size_t N>
+      struct make_index_sequence_impl;
+
+      template <std::size_t N>
+      using make_index_sequence = typename make_index_sequence_impl<N>::type;
+
+      template <std::size_t N>
+      struct make_index_sequence_impl
+          : make_index_sequence_concat<make_index_sequence<N / 2>,
+                                       make_index_sequence<N - (N / 2)>> {};
+
+      template <>
+      struct make_index_sequence_impl<0> : identity<index_sequence<>> {};
+
+      template <>
+      struct make_index_sequence_impl<1> : identity<index_sequence<0>> {};
+
+      template <typename... Ts>
+      using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
+#endif
+
+      // <functional>
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using equal_to = std::equal_to<>;
+#else
+      struct equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) == lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using not_equal_to = std::not_equal_to<>;
+#else
+      struct not_equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) != lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less = std::less<>;
+#else
+      struct less {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) < lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater = std::greater<>;
+#else
+      struct greater {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) > lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less_equal = std::less_equal<>;
+#else
+      struct less_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) <= lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater_equal = std::greater_equal<>;
+#else
+      struct greater_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) >= lib::forward<Rhs>(rhs))
+      };
+#endif
+    }  // namespace cpp14
+
+    inline namespace cpp17 {
+
+      // <type_traits>
+      template <bool B>
+      using bool_constant = std::integral_constant<bool, B>;
+
+      template <typename...>
+      struct voider : identity<void> {};
+
+      template <typename... Ts>
+      using void_t = typename voider<Ts...>::type;
+
+      namespace detail {
+        namespace swappable {
+
+          using std::swap;
+
+          template <typename T>
+          struct is_swappable {
+            private:
+            template <typename U,
+                      typename = decltype(swap(std::declval<U &>(),
+                                               std::declval<U &>()))>
+            inline static std::true_type test(int);
+
+            template <typename U>
+            inline static std::false_type test(...);
+
+            public:
+            static constexpr bool value = decltype(test<T>(0))::value;
+          };
+
+          template <bool IsSwappable, typename T>
+          struct is_nothrow_swappable {
+            static constexpr bool value =
+                noexcept(swap(std::declval<T &>(), std::declval<T &>()));
+          };
+
+          template <typename T>
+          struct is_nothrow_swappable<false, T> : std::false_type {};
+
+        }  // namespace swappable
+      }  // namespace detail
+
+      using detail::swappable::is_swappable;
+
+      template <typename T>
+      using is_nothrow_swappable =
+          detail::swappable::is_nothrow_swappable<is_swappable<T>::value, T>;
+
+      // <functional>
+      namespace detail {
+
+        template <typename T>
+        struct is_reference_wrapper : std::false_type {};
+
+        template <typename T>
+        struct is_reference_wrapper<std::reference_wrapper<T>>
+            : std::true_type {};
+
+        template <bool, int>
+        struct Invoke;
+
+        template <>
+        struct Invoke<true /* pmf */, 0 /* is_base_of */> {
+          template <typename R, typename T, typename Arg, typename... Args>
+          inline static constexpr auto invoke(R T::*pmf, Arg &&arg, Args &&... args)
+            MPARK_RETURN((lib::forward<Arg>(arg).*pmf)(lib::forward<Args>(args)...))
+        };
+
+        template <>
+        struct Invoke<true /* pmf */, 1 /* is_reference_wrapper */> {
+          template <typename R, typename T, typename Arg, typename... Args>
+          inline static constexpr auto invoke(R T::*pmf, Arg &&arg, Args &&... args)
+            MPARK_RETURN((lib::forward<Arg>(arg).get().*pmf)(lib::forward<Args>(args)...))
+        };
+
+        template <>
+        struct Invoke<true /* pmf */, 2 /* otherwise */> {
+          template <typename R, typename T, typename Arg, typename... Args>
+          inline static constexpr auto invoke(R T::*pmf, Arg &&arg, Args &&... args)
+            MPARK_RETURN(((*lib::forward<Arg>(arg)).*pmf)(lib::forward<Args>(args)...))
+        };
+
+        template <>
+        struct Invoke<false /* pmo */, 0 /* is_base_of */> {
+          template <typename R, typename T, typename Arg>
+          inline static constexpr auto invoke(R T::*pmo, Arg &&arg)
+            MPARK_RETURN(lib::forward<Arg>(arg).*pmo)
+        };
+
+        template <>
+        struct Invoke<false /* pmo */, 1 /* is_reference_wrapper */> {
+          template <typename R, typename T, typename Arg>
+          inline static constexpr auto invoke(R T::*pmo, Arg &&arg)
+            MPARK_RETURN(lib::forward<Arg>(arg).get().*pmo)
+        };
+
+        template <>
+        struct Invoke<false /* pmo */, 2 /* otherwise */> {
+          template <typename R, typename T, typename Arg>
+          inline static constexpr auto invoke(R T::*pmo, Arg &&arg)
+              MPARK_RETURN((*lib::forward<Arg>(arg)).*pmo)
+        };
+
+        template <typename R, typename T, typename Arg, typename... Args>
+        inline constexpr auto invoke(R T::*f, Arg &&arg, Args &&... args)
+          MPARK_RETURN(
+              Invoke<std::is_function<R>::value,
+                     (std::is_base_of<T, lib::decay_t<Arg>>::value
+                          ? 0
+                          : is_reference_wrapper<lib::decay_t<Arg>>::value
+                                ? 1
+                                : 2)>::invoke(f,
+                                              lib::forward<Arg>(arg),
+                                              lib::forward<Args>(args)...))
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+        template <typename F, typename... Args>
+        inline constexpr auto invoke(F &&f, Args &&... args)
+          MPARK_RETURN(lib::forward<F>(f)(lib::forward<Args>(args)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      inline constexpr auto invoke(F &&f, Args &&... args)
+        MPARK_RETURN(detail::invoke(lib::forward<F>(f),
+                                    lib::forward<Args>(args)...))
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct invoke_result {};
+
+        template <typename F, typename... Args>
+        struct invoke_result<void_t<decltype(lib::invoke(
+                                 std::declval<F>(), std::declval<Args>()...))>,
+                             F,
+                             Args...>
+            : identity<decltype(
+                  lib::invoke(std::declval<F>(), std::declval<Args>()...))> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using invoke_result = detail::invoke_result<void, F, Args...>;
+
+      template <typename F, typename... Args>
+      using invoke_result_t = typename invoke_result<F, Args...>::type;
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct is_invocable : std::false_type {};
+
+        template <typename F, typename... Args>
+        struct is_invocable<void_t<invoke_result_t<F, Args...>>, F, Args...>
+            : std::true_type {};
+
+        template <typename Void, typename, typename, typename...>
+        struct is_invocable_r : std::false_type {};
+
+        template <typename R, typename F, typename... Args>
+        struct is_invocable_r<void_t<invoke_result_t<F, Args...>>,
+                              R,
+                              F,
+                              Args...>
+            : std::is_convertible<invoke_result_t<F, Args...>, R> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using is_invocable = detail::is_invocable<void, F, Args...>;
+
+      template <typename R, typename F, typename... Args>
+      using is_invocable_r = detail::is_invocable_r<void, R, F, Args...>;
+
+      // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+      template <typename T>
+      inline constexpr T *addressof(T &arg) noexcept {
+        return __builtin_addressof(arg);
+      }
+#else
+      namespace detail {
+
+        namespace has_addressof_impl {
+
+          struct fail;
+
+          template <typename T>
+          inline fail operator&(T &&);
+
+          template <typename T>
+          inline static constexpr bool impl() {
+            return (std::is_class<T>::value || std::is_union<T>::value) &&
+                   !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+          }
+
+        }  // namespace has_addressof_impl
+
+        template <typename T>
+        using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::true_type) noexcept {
+          return std::addressof(arg);
+        }
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::false_type) noexcept {
+          return &arg;
+        }
+
+      }  // namespace detail
+
+      template <typename T>
+      inline constexpr T *addressof(T &arg) noexcept {
+        return detail::addressof(arg, detail::has_addressof<T>{});
+      }
+#endif
+
+      template <typename T>
+      inline constexpr T *addressof(const T &&) = delete;
+
+    }  // namespace cpp17
+
+    template <typename T>
+    struct remove_all_extents : identity<T> {};
+
+    template <typename T, std::size_t N>
+    struct remove_all_extents<array<T, N>> : remove_all_extents<T> {};
+
+    template <typename T>
+    using remove_all_extents_t = typename remove_all_extents<T>::type;
+
+    template <std::size_t N>
+    using size_constant = std::integral_constant<std::size_t, N>;
+
+    template <std::size_t I, typename T>
+    struct indexed_type : size_constant<I> { using type = T; };
+
+    template <bool... Bs>
+    using all = std::is_same<integer_sequence<bool, true, Bs...>,
+                             integer_sequence<bool, Bs..., true>>;
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+    template <std::size_t I, typename... Ts>
+    struct type_pack_element_impl {
+      private:
+      template <typename>
+      struct set;
+
+      template <std::size_t... Is>
+      struct set<index_sequence<Is...>> : indexed_type<Is, Ts>... {};
+
+      template <typename T>
+      inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+      inline static std::enable_if<false> impl(...);
+
+      public:
+      using type = decltype(impl(set<index_sequence_for<Ts...>>{}));
+    };
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+#ifdef MPARK_TRIVIALITY_TYPE_TRAITS
+    using std::is_trivially_copy_constructible;
+    using std::is_trivially_move_constructible;
+    using std::is_trivially_copy_assignable;
+    using std::is_trivially_move_assignable;
+#else
+    template <typename T>
+    struct is_trivially_copy_constructible
+        : bool_constant<
+              std::is_copy_constructible<T>::value && __has_trivial_copy(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_constructible : bool_constant<__is_trivial(T)> {};
+
+    template <typename T>
+    struct is_trivially_copy_assignable
+        : bool_constant<
+              std::is_copy_assignable<T>::value && __has_trivial_assign(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_assignable : bool_constant<__is_trivial(T)> {};
+#endif
+
+    template <typename T, bool>
+    struct dependent_type : T {};
+
+    template <typename Is, std::size_t J>
+    struct push_back;
+
+    template <typename Is, std::size_t J>
+    using push_back_t = typename push_back<Is, J>::type;
+
+    template <std::size_t... Is, std::size_t J>
+    struct push_back<index_sequence<Is...>, J> {
+      using type = index_sequence<Is..., J>;
+    };
+
+  }  // namespace lib
+}  // namespace mpark
+
+#undef MPARK_RETURN
+
+#endif  // MPARK_LIB_HPP
+
+
+namespace mpark {
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+
+#define AUTO auto
+#define AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto &&
+#define AUTO_REFREF_RETURN(...) { return __VA_ARGS__; }
+
+#define DECLTYPE_AUTO decltype(auto)
+#define DECLTYPE_AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#else
+
+#define AUTO auto
+#define AUTO_RETURN(...) \
+  -> lib::decay_t<decltype(__VA_ARGS__)> { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto
+#define AUTO_REFREF_RETURN(...)                                           \
+  -> decltype((__VA_ARGS__)) {                                            \
+    static_assert(std::is_reference<decltype((__VA_ARGS__))>::value, ""); \
+    return __VA_ARGS__;                                                   \
+  }
+
+#define DECLTYPE_AUTO auto
+#define DECLTYPE_AUTO_RETURN(...) \
+  -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+#endif
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept override { return "bad_variant_access"; }
+  };
+
+  [[noreturn]] inline void throw_bad_variant_access() {
+#ifdef MPARK_EXCEPTIONS
+    throw bad_variant_access{};
+#else
+    std::terminate();
+    MPARK_BUILTIN_UNREACHABLE;
+#endif
+  }
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+#endif
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>> : lib::size_constant<sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "index out of bounds in `std::variant_alternative<>`");
+    using type = lib::type_pack_element_t<I, Ts...>;
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr lib::array<bool, sizeof...(Ts)> matches = {
+          {std::is_same<T, Ts>::value...}
+      };
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t) {
+      return result;
+    }
+
+    template <typename... Bs>
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t idx,
+                                                 bool b,
+                                                 Bs... bs) {
+      return b ? (result != not_found ? ambiguous
+                                      : find_index_impl(idx, idx + 1, bs...))
+               : find_index_impl(result, idx + 1, bs...);
+    }
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      return find_index_impl(not_found, 0, std::is_same<T, Ts>::value...);
+    }
+#endif
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        lib::enable_if_t<I != not_found && I != ambiguous,
+                         lib::size_constant<I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : lib::size_constant<I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... traits_) {
+      Trait result = Trait::TriviallyAvailable;
+      lib::array<Trait, sizeof...(Traits)> traits = {{traits_...}};
+      for (std::size_t i = 0; i < sizeof...(Traits); ++i) {
+        Trait t = traits[i];
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr Trait common_trait_impl(Trait result) { return result; }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait_impl(Trait result,
+                                             Trait t,
+                                             Traits... ts) {
+      return static_cast<int>(t) > static_cast<int>(result)
+                 ? common_trait_impl(t, ts...)
+                 : common_trait_impl(result, ts...);
+    }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... ts) {
+      return common_trait_impl(Trait::TriviallyAvailable, ts...);
+    }
+#endif
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_copy_constructible,
+                             std::is_copy_constructible>()...);
+
+      static constexpr Trait move_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_move_constructible,
+                             std::is_move_constructible>()...);
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait(copy_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_copy_assignable,
+                             std::is_copy_assignable>()...);
+
+      static constexpr Trait move_assignable_trait =
+          common_trait(move_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_move_assignable,
+                             std::is_move_assignable>()...);
+
+      static constexpr Trait destructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_destructible,
+                             std::is_destructible>()...);
+    };
+
+    namespace access {
+
+      struct recursive_union {
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return lib::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(lib::forward<V>(v).tail_, in_place_index_t<I - 1>{});
+        }
+#else
+        template <std::size_t I, bool Dummy = true>
+        struct get_alt_impl {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(get_alt_impl<I - 1>{}(lib::forward<V>(v).tail_))
+        };
+
+        template <bool Dummy>
+        struct get_alt_impl<0, Dummy> {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(lib::forward<V>(v).head_)
+        };
+
+        template <typename V, std::size_t I>
+        inline static constexpr AUTO_REFREF get_alt(V &&v, in_place_index_t<I>)
+          AUTO_REFREF_RETURN(get_alt_impl<I>{}(lib::forward<V>(v)))
+#endif
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+#ifdef _MSC_VER
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              lib::forward<V>(v).data_, in_place_index_t<I>{}))
+#else
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              data(lib::forward<V>(v)), in_place_index_t<I>{}))
+#endif
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(base::get_alt<I>(lib::forward<V>(v).impl_))
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+#if defined(MPARK_CPP14_CONSTEXPR) && !defined(_MSC_VER)
+#define MPARK_VARIANT_SWITCH_VISIT
+#endif
+
+      struct base {
+        template <typename Visitor, typename... Vs>
+        using dispatch_result_t = decltype(
+            lib::invoke(std::declval<Visitor>(),
+                        access::base::get_alt<0>(std::declval<Vs>())...));
+
+        template <typename Expected>
+        struct expected {
+          template <typename Actual>
+          inline static constexpr bool but_got() {
+            return std::is_same<Expected, Actual>::value;
+          }
+        };
+
+        template <typename Expected, typename Actual>
+        struct visit_return_type_check {
+          static_assert(
+              expected<Expected>::template but_got<Actual>(),
+              "`visit` requires the visitor to have a single return type");
+
+          template <typename Visitor, typename... Alts>
+          inline static constexpr DECLTYPE_AUTO invoke(Visitor &&visitor,
+                                                       Alts &&... alts)
+            DECLTYPE_AUTO_RETURN(lib::invoke(lib::forward<Visitor>(visitor),
+                                             lib::forward<Alts>(alts)...))
+        };
+
+#ifdef MPARK_VARIANT_SWITCH_VISIT
+        template <bool B, typename R, typename... ITs>
+        struct dispatcher;
+
+        template <typename R, typename... ITs>
+        struct dispatcher<false, R, ITs...> {
+          template <std::size_t B, typename F, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch(
+              F &&, typename ITs::type &&..., Vs &&...) {
+            MPARK_BUILTIN_UNREACHABLE;
+          }
+
+          template <std::size_t I, typename F, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch_case(F &&, Vs &&...) {
+            MPARK_BUILTIN_UNREACHABLE;
+          }
+
+          template <std::size_t B, typename F, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch_at(std::size_t,
+                                                             F &&,
+                                                             Vs &&...) {
+            MPARK_BUILTIN_UNREACHABLE;
+          }
+        };
+
+        template <typename R, typename... ITs>
+        struct dispatcher<true, R, ITs...> {
+          template <std::size_t B, typename F>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch(
+              F &&f, typename ITs::type &&... visited_vs) {
+            using Expected = R;
+            using Actual = decltype(lib::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<ITs::value>(
+                    lib::forward<typename ITs::type>(visited_vs))...));
+            return visit_return_type_check<Expected, Actual>::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<ITs::value>(
+                    lib::forward<typename ITs::type>(visited_vs))...);
+          }
+
+          template <std::size_t B, typename F, typename V, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch(
+              F &&f, typename ITs::type &&... visited_vs, V &&v, Vs &&... vs) {
+#define MPARK_DISPATCH(I)                                                   \
+  dispatcher<(I < lib::decay_t<V>::size()),                                 \
+             R,                                                             \
+             ITs...,                                                        \
+             lib::indexed_type<I, V>>::                                     \
+      template dispatch<0>(lib::forward<F>(f),                              \
+                           lib::forward<typename ITs::type>(visited_vs)..., \
+                           lib::forward<V>(v),                              \
+                           lib::forward<Vs>(vs)...)
+
+#define MPARK_DEFAULT(I)                                                      \
+  dispatcher<(I < lib::decay_t<V>::size()), R, ITs...>::template dispatch<I>( \
+      lib::forward<F>(f),                                                     \
+      lib::forward<typename ITs::type>(visited_vs)...,                        \
+      lib::forward<V>(v),                                                     \
+      lib::forward<Vs>(vs)...)
+
+            switch (v.index()) {
+              case B + 0: return MPARK_DISPATCH(B + 0);
+              case B + 1: return MPARK_DISPATCH(B + 1);
+              case B + 2: return MPARK_DISPATCH(B + 2);
+              case B + 3: return MPARK_DISPATCH(B + 3);
+              case B + 4: return MPARK_DISPATCH(B + 4);
+              case B + 5: return MPARK_DISPATCH(B + 5);
+              case B + 6: return MPARK_DISPATCH(B + 6);
+              case B + 7: return MPARK_DISPATCH(B + 7);
+              case B + 8: return MPARK_DISPATCH(B + 8);
+              case B + 9: return MPARK_DISPATCH(B + 9);
+              case B + 10: return MPARK_DISPATCH(B + 10);
+              case B + 11: return MPARK_DISPATCH(B + 11);
+              case B + 12: return MPARK_DISPATCH(B + 12);
+              case B + 13: return MPARK_DISPATCH(B + 13);
+              case B + 14: return MPARK_DISPATCH(B + 14);
+              case B + 15: return MPARK_DISPATCH(B + 15);
+              case B + 16: return MPARK_DISPATCH(B + 16);
+              case B + 17: return MPARK_DISPATCH(B + 17);
+              case B + 18: return MPARK_DISPATCH(B + 18);
+              case B + 19: return MPARK_DISPATCH(B + 19);
+              case B + 20: return MPARK_DISPATCH(B + 20);
+              case B + 21: return MPARK_DISPATCH(B + 21);
+              case B + 22: return MPARK_DISPATCH(B + 22);
+              case B + 23: return MPARK_DISPATCH(B + 23);
+              case B + 24: return MPARK_DISPATCH(B + 24);
+              case B + 25: return MPARK_DISPATCH(B + 25);
+              case B + 26: return MPARK_DISPATCH(B + 26);
+              case B + 27: return MPARK_DISPATCH(B + 27);
+              case B + 28: return MPARK_DISPATCH(B + 28);
+              case B + 29: return MPARK_DISPATCH(B + 29);
+              case B + 30: return MPARK_DISPATCH(B + 30);
+              case B + 31: return MPARK_DISPATCH(B + 31);
+              default: return MPARK_DEFAULT(B + 32);
+            }
+
+#undef MPARK_DEFAULT
+#undef MPARK_DISPATCH
+          }
+
+          template <std::size_t I, typename F, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch_case(F &&f,
+                                                               Vs &&... vs) {
+            using Expected = R;
+            using Actual = decltype(
+                lib::invoke(lib::forward<F>(f),
+                            access::base::get_alt<I>(lib::forward<Vs>(vs))...));
+            return visit_return_type_check<Expected, Actual>::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<I>(lib::forward<Vs>(vs))...);
+          }
+
+          template <std::size_t B, typename F, typename V, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch_at(std::size_t index,
+                                                             F &&f,
+                                                             V &&v,
+                                                             Vs &&... vs) {
+            static_assert(lib::all<(lib::decay_t<V>::size() ==
+                                    lib::decay_t<Vs>::size())...>::value,
+                          "all of the variants must be the same size.");
+#define MPARK_DISPATCH_AT(I)                                               \
+  dispatcher<(I < lib::decay_t<V>::size()), R>::template dispatch_case<I>( \
+      lib::forward<F>(f), lib::forward<V>(v), lib::forward<Vs>(vs)...)
+
+#define MPARK_DEFAULT(I)                                                 \
+  dispatcher<(I < lib::decay_t<V>::size()), R>::template dispatch_at<I>( \
+      index, lib::forward<F>(f), lib::forward<V>(v), lib::forward<Vs>(vs)...)
+
+            switch (index) {
+              case B + 0: return MPARK_DISPATCH_AT(B + 0);
+              case B + 1: return MPARK_DISPATCH_AT(B + 1);
+              case B + 2: return MPARK_DISPATCH_AT(B + 2);
+              case B + 3: return MPARK_DISPATCH_AT(B + 3);
+              case B + 4: return MPARK_DISPATCH_AT(B + 4);
+              case B + 5: return MPARK_DISPATCH_AT(B + 5);
+              case B + 6: return MPARK_DISPATCH_AT(B + 6);
+              case B + 7: return MPARK_DISPATCH_AT(B + 7);
+              case B + 8: return MPARK_DISPATCH_AT(B + 8);
+              case B + 9: return MPARK_DISPATCH_AT(B + 9);
+              case B + 10: return MPARK_DISPATCH_AT(B + 10);
+              case B + 11: return MPARK_DISPATCH_AT(B + 11);
+              case B + 12: return MPARK_DISPATCH_AT(B + 12);
+              case B + 13: return MPARK_DISPATCH_AT(B + 13);
+              case B + 14: return MPARK_DISPATCH_AT(B + 14);
+              case B + 15: return MPARK_DISPATCH_AT(B + 15);
+              case B + 16: return MPARK_DISPATCH_AT(B + 16);
+              case B + 17: return MPARK_DISPATCH_AT(B + 17);
+              case B + 18: return MPARK_DISPATCH_AT(B + 18);
+              case B + 19: return MPARK_DISPATCH_AT(B + 19);
+              case B + 20: return MPARK_DISPATCH_AT(B + 20);
+              case B + 21: return MPARK_DISPATCH_AT(B + 21);
+              case B + 22: return MPARK_DISPATCH_AT(B + 22);
+              case B + 23: return MPARK_DISPATCH_AT(B + 23);
+              case B + 24: return MPARK_DISPATCH_AT(B + 24);
+              case B + 25: return MPARK_DISPATCH_AT(B + 25);
+              case B + 26: return MPARK_DISPATCH_AT(B + 26);
+              case B + 27: return MPARK_DISPATCH_AT(B + 27);
+              case B + 28: return MPARK_DISPATCH_AT(B + 28);
+              case B + 29: return MPARK_DISPATCH_AT(B + 29);
+              case B + 30: return MPARK_DISPATCH_AT(B + 30);
+              case B + 31: return MPARK_DISPATCH_AT(B + 31);
+              default: return MPARK_DEFAULT(B + 32);
+            }
+
+#undef MPARK_DEFAULT
+#undef MPARK_DISPATCH_AT
+          }
+        };
+#else
+        template <typename T>
+        inline static constexpr const T &at(const T &elem) noexcept {
+          return elem;
+        }
+
+        template <typename T, std::size_t N, typename... Is>
+        inline static constexpr const lib::remove_all_extents_t<T> &at(
+            const lib::array<T, N> &elems, std::size_t i, Is... is) noexcept {
+          return at(elems[i], is...);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr lib::array<lib::decay_t<F>, sizeof...(Fs) + 1>
+        make_farray(F &&f, Fs &&... fs) {
+          return {{lib::forward<F>(f), lib::forward<Fs>(fs)...}};
+        }
+
+        template <typename F, typename... Vs>
+        struct make_fmatrix_impl {
+
+          template <std::size_t... Is>
+          inline static constexpr dispatch_result_t<F, Vs...> dispatch(
+              F &&f, Vs &&... vs) {
+            using Expected = dispatch_result_t<F, Vs...>;
+            using Actual = decltype(lib::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<Is>(lib::forward<Vs>(vs))...));
+            return visit_return_type_check<Expected, Actual>::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<Is>(lib::forward<Vs>(vs))...);
+          }
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+          template <std::size_t... Is>
+          inline static constexpr auto impl(lib::index_sequence<Is...>) {
+            return &dispatch<Is...>;
+          }
+
+          template <typename Is, std::size_t... Js, typename... Ls>
+          inline static constexpr auto impl(Is,
+                                            lib::index_sequence<Js...>,
+                                            Ls... ls) {
+            return make_farray(impl(lib::push_back_t<Is, Js>{}, ls...)...);
+          }
+#else
+          template <typename...>
+          struct impl;
+
+          template <std::size_t... Is>
+          struct impl<lib::index_sequence<Is...>> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(&dispatch<Is...>)
+          };
+
+          template <typename Is, std::size_t... Js, typename... Ls>
+          struct impl<Is, lib::index_sequence<Js...>, Ls...> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(
+                  make_farray(impl<lib::push_back_t<Is, Js>, Ls...>{}()...))
+          };
+#endif
+        };
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>::impl(
+              lib::index_sequence<>{},
+              lib::make_index_sequence<lib::decay_t<Vs>::size()>{}...);
+        }
+#else
+        template <typename F, typename... Vs>
+        inline static constexpr AUTO make_fmatrix()
+          AUTO_RETURN(
+              typename make_fmatrix_impl<F, Vs...>::template impl<
+                  lib::index_sequence<>,
+                  lib::make_index_sequence<lib::decay_t<Vs>::size()>...>{}())
+#endif
+
+        template <typename F, typename... Vs>
+        struct make_fdiagonal_impl {
+          template <std::size_t I>
+          inline static constexpr dispatch_result_t<F, Vs...> dispatch(
+              F &&f, Vs &&... vs) {
+            using Expected = dispatch_result_t<F, Vs...>;
+            using Actual = decltype(
+                lib::invoke(lib::forward<F>(f),
+                            access::base::get_alt<I>(lib::forward<Vs>(vs))...));
+            return visit_return_type_check<Expected, Actual>::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<I>(lib::forward<Vs>(vs))...);
+          }
+
+          template <std::size_t... Is>
+          inline static constexpr AUTO impl(lib::index_sequence<Is...>)
+            AUTO_RETURN(make_farray(&dispatch<Is>...))
+        };
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr auto make_fdiagonal()
+            -> decltype(make_fdiagonal_impl<F, V, Vs...>::impl(
+                lib::make_index_sequence<lib::decay_t<V>::size()>{})) {
+          static_assert(lib::all<(lib::decay_t<V>::size() ==
+                                  lib::decay_t<Vs>::size())...>::value,
+                        "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>::impl(
+              lib::make_index_sequence<lib::decay_t<V>::size()>{});
+        }
+#endif
+      };
+
+#if !defined(MPARK_VARIANT_SWITCH_VISIT) && \
+    (!defined(_MSC_VER) || _MSC_VER >= 1910)
+      template <typename F, typename... Vs>
+      using fmatrix_t = decltype(base::make_fmatrix<F, Vs...>());
+
+      template <typename F, typename... Vs>
+      struct fmatrix {
+        static constexpr fmatrix_t<F, Vs...> value =
+            base::make_fmatrix<F, Vs...>();
+      };
+
+      template <typename F, typename... Vs>
+      constexpr fmatrix_t<F, Vs...> fmatrix<F, Vs...>::value;
+
+      template <typename F, typename... Vs>
+      using fdiagonal_t = decltype(base::make_fdiagonal<F, Vs...>());
+
+      template <typename F, typename... Vs>
+      struct fdiagonal {
+        static constexpr fdiagonal_t<F, Vs...> value =
+            base::make_fdiagonal<F, Vs...>();
+      };
+
+      template <typename F, typename... Vs>
+      constexpr fdiagonal_t<F, Vs...> fdiagonal<F, Vs...>::value;
+#endif
+
+      struct alt {
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+#ifdef MPARK_VARIANT_SWITCH_VISIT
+          DECLTYPE_AUTO_RETURN(
+              base::dispatcher<
+                  true,
+                  base::dispatch_result_t<Visitor,
+                                          decltype(as_base(
+                                              lib::forward<Vs>(vs)))...>>::
+                  template dispatch<0>(lib::forward<Visitor>(visitor),
+                                       as_base(lib::forward<Vs>(vs))...))
+#elif !defined(_MSC_VER) || _MSC_VER >= 1910
+          DECLTYPE_AUTO_RETURN(base::at(
+              fmatrix<Visitor &&,
+                      decltype(as_base(lib::forward<Vs>(vs)))...>::value,
+              vs.index()...)(lib::forward<Visitor>(visitor),
+                             as_base(lib::forward<Vs>(vs))...))
+#else
+          DECLTYPE_AUTO_RETURN(base::at(
+              base::make_fmatrix<Visitor &&,
+                      decltype(as_base(lib::forward<Vs>(vs)))...>(),
+              vs.index()...)(lib::forward<Visitor>(visitor),
+                             as_base(lib::forward<Vs>(vs))...))
+#endif
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+#ifdef MPARK_VARIANT_SWITCH_VISIT
+          DECLTYPE_AUTO_RETURN(
+              base::dispatcher<
+                  true,
+                  base::dispatch_result_t<Visitor,
+                                          decltype(as_base(
+                                              lib::forward<Vs>(vs)))...>>::
+                  template dispatch_at<0>(index,
+                                          lib::forward<Visitor>(visitor),
+                                          as_base(lib::forward<Vs>(vs))...))
+#elif !defined(_MSC_VER) || _MSC_VER >= 1910
+          DECLTYPE_AUTO_RETURN(base::at(
+              fdiagonal<Visitor &&,
+                        decltype(as_base(lib::forward<Vs>(vs)))...>::value,
+              index)(lib::forward<Visitor>(visitor),
+                     as_base(lib::forward<Vs>(vs))...))
+#else
+          DECLTYPE_AUTO_RETURN(base::at(
+              base::make_fdiagonal<Visitor &&,
+                        decltype(as_base(lib::forward<Vs>(vs)))...>(),
+              index)(lib::forward<Visitor>(visitor),
+                     as_base(lib::forward<Vs>(vs))...))
+#endif
+      };
+
+      struct variant {
+        private:
+        template <typename Visitor>
+        struct visitor {
+          template <typename... Values>
+          inline static constexpr bool does_not_handle() {
+            return lib::is_invocable<Visitor, Values...>::value;
+          }
+        };
+
+        template <typename Visitor, typename... Values>
+        struct visit_exhaustiveness_check {
+          static_assert(visitor<Visitor>::template does_not_handle<Values...>(),
+                        "`visit` requires the visitor to be exhaustive.");
+
+          inline static constexpr DECLTYPE_AUTO invoke(Visitor &&visitor,
+                                                       Values &&... values)
+            DECLTYPE_AUTO_RETURN(lib::invoke(lib::forward<Visitor>(visitor),
+                                             lib::forward<Values>(values)...))
+        };
+
+        template <typename Visitor>
+        struct value_visitor {
+          Visitor &&visitor_;
+
+          template <typename... Alts>
+          inline constexpr DECLTYPE_AUTO operator()(Alts &&... alts) const
+            DECLTYPE_AUTO_RETURN(
+                visit_exhaustiveness_check<
+                    Visitor,
+                    decltype((lib::forward<Alts>(alts).value))...>::
+                    invoke(lib::forward<Visitor>(visitor_),
+                           lib::forward<Alts>(alts).value...))
+        };
+
+        template <typename Visitor>
+        inline static constexpr AUTO make_value_visitor(Visitor &&visitor)
+          AUTO_RETURN(value_visitor<Visitor>{lib::forward<Visitor>(visitor)})
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(alt::visit_alt(lib::forward<Visitor>(visitor),
+                                              lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              alt::visit_alt_at(index,
+                                lib::forward<Visitor>(visitor),
+                                lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value(Visitor &&visitor,
+                                                          Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt(make_value_visitor(lib::forward<Visitor>(visitor)),
+                        lib::forward<Vs>(vs)...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value_at(std::size_t index,
+                                                             Visitor &&visitor,
+                                                             Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt_at(index,
+                           make_value_visitor(lib::forward<Visitor>(visitor)),
+                           lib::forward<Vs>(vs)...))
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value(lib::forward<Args>(args)...) {}
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      T value;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)      \
+  template <std::size_t Index, typename T, typename... Ts>                 \
+  union recursive_union<destructible_trait, Index, T, Ts...> {             \
+    public:                                                                \
+    inline explicit constexpr recursive_union(valueless_t) noexcept        \
+        : dummy_{} {}                                                      \
+                                                                           \
+    template <typename... Args>                                            \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,         \
+                                              Args &&... args)             \
+        : head_(in_place_t{}, lib::forward<Args>(args)...) {}              \
+                                                                           \
+    template <std::size_t I, typename... Args>                             \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,         \
+                                              Args &&... args)             \
+        : tail_(in_place_index_t<I - 1>{}, lib::forward<Args>(args)...) {} \
+                                                                           \
+    recursive_union(const recursive_union &) = default;                    \
+    recursive_union(recursive_union &&) = default;                         \
+                                                                           \
+    destructor                                                             \
+                                                                           \
+    recursive_union &operator=(const recursive_union &) = default;         \
+    recursive_union &operator=(recursive_union &&) = default;              \
+                                                                           \
+    private:                                                               \
+    char dummy_;                                                           \
+    alt<Index, T> head_;                                                   \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;           \
+                                                                           \
+    friend struct access::recursive_union;                                 \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef MPARK_VARIANT_RECURSIVE_UNION
+
+    template <typename... Ts>
+    using index_t = typename std::conditional<
+            sizeof...(Ts) < std::numeric_limits<unsigned char>::max(),
+            unsigned char,
+            typename std::conditional<
+                sizeof...(Ts) < std::numeric_limits<unsigned short>::max(),
+                unsigned short,
+                unsigned int>::type
+            >::type;
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(static_cast<index_t<Ts...>>(-1)) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index_t<I>{}, lib::forward<Args>(args)...),
+            index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index_ == static_cast<index_t<Ts...>>(-1);
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return valueless_by_exception() ? variant_npos : index_;
+      }
+
+      protected:
+      using data_t = recursive_union<DestructibleTrait, 0, Ts...>;
+
+      friend inline constexpr base &as_base(base &b) { return b; }
+      friend inline constexpr const base &as_base(const base &b) { return b; }
+      friend inline constexpr base &&as_base(base &&b) { return lib::move(b); }
+      friend inline constexpr const base &&as_base(const base &&b) { return lib::move(b); }
+
+      friend inline constexpr data_t &data(base &b) { return b.data_; }
+      friend inline constexpr const data_t &data(const base &b) { return b.data_; }
+      friend inline constexpr data_t &&data(base &&b) { return lib::move(b).data_; }
+      friend inline constexpr const data_t &&data(const base &&b) { return lib::move(b).data_; }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      data_t data_;
+      index_t<Ts...> index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    struct dtor {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename Alt>
+      inline void operator()(Alt &alt) const noexcept { alt.~Alt(); }
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+    };
+
+#if !defined(_MSC_VER) || _MSC_VER >= 1910
+#define MPARK_INHERITING_CTOR(type, base) using base::base;
+#else
+#define MPARK_INHERITING_CTOR(type, base)         \
+  template <typename... Args>                     \
+  inline explicit constexpr type(Args &&... args) \
+      : base(lib::forward<Args>(args)...) {}
+#endif
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    MPARK_INHERITING_CTOR(destructor, super)                              \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    destroy                                                               \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::TriviallyAvailable,
+        ~destructor() = default;,
+        inline void destroy() noexcept {
+          this->index_ = static_cast<index_t<Ts...>>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Available,
+        ~destructor() { destroy(); },
+        inline void destroy() noexcept {
+          if (!this->valueless_by_exception()) {
+            visitation::alt::visit_alt(dtor{}, *this);
+          }
+          this->index_ = static_cast<index_t<Ts...>>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Unavailable,
+        ~destructor() = delete;,
+        inline void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      MPARK_INHERITING_CTOR(constructor, super)
+      using super::operator=;
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct ctor {
+        template <typename LhsAlt, typename RhsAlt>
+        inline void operator()(LhsAlt &lhs_alt, RhsAlt &&rhs_alt) const {
+          constructor::construct_alt(lhs_alt,
+                                     lib::forward<RhsAlt>(rhs_alt).value);
+        }
+      };
+#endif
+
+      template <std::size_t I, typename T, typename... Args>
+      inline static T &construct_alt(alt<I, T> &a, Args &&... args) {
+        auto *result = ::new (static_cast<void *>(lib::addressof(a)))
+            alt<I, T>(in_place_t{}, lib::forward<Args>(args)...);
+        return result->value;
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::alt::visit_alt_at(
+              rhs.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt, lib::forward<decltype(rhs_alt)>(rhs_alt).value);
+              }
+#else
+              ctor{}
+#endif
+              ,
+              lhs,
+              lib::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index_;
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    MPARK_INHERITING_CTOR(move_constructor, super)                           \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            lib::all<std::is_nothrow_move_constructible<Ts>::value...>::value)
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, lib::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    MPARK_INHERITING_CTOR(copy_constructor, super)                           \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      MPARK_INHERITING_CTOR(assignment, super)
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline /* auto & */ auto emplace(Args &&... args)
+          -> decltype(this->construct_alt(access::base::get_alt<I>(*this),
+                                          lib::forward<Args>(args)...)) {
+        this->destroy();
+        auto &result = this->construct_alt(access::base::get_alt<I>(*this),
+                                           lib::forward<Args>(args)...);
+        this->index_ = I;
+        return result;
+      }
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      template <typename That>
+      struct assigner {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &&that_alt) const {
+          self->assign_alt(this_alt, lib::forward<ThatAlt>(that_alt).value);
+        }
+        assignment *self;
+      };
+#endif
+
+      template <std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a, Arg &&arg) {
+        if (this->index() == I) {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+          a.value = lib::forward<Arg>(arg);
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(lib::forward<Arg>(arg_));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(T(lib::forward<Arg>(arg_)));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, lib::forward<Arg>(arg)};
+          impl(lib::bool_constant<
+                   std::is_nothrow_constructible<T, Arg>::value ||
+                   !std::is_nothrow_move_constructible<T>::value>{});
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::alt::visit_alt_at(
+              that.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt, lib::forward<decltype(that_alt)>(that_alt).value);
+              }
+#else
+              assigner<That>{this}
+#endif
+              ,
+              *this,
+              lib::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    MPARK_INHERITING_CTOR(move_assignment, super)                        \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                      std::is_nothrow_move_assignable<Ts>::value)...>::value) {
+          this->generic_assign(lib::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    MPARK_INHERITING_CTOR(copy_assignment, super)                        \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      MPARK_INHERITING_CTOR(impl, super)
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         lib::forward<Arg>(arg));
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::alt::visit_alt_at(this->index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+                                        [](auto &this_alt, auto &that_alt) {
+                                          using std::swap;
+                                          swap(this_alt.value,
+                                               that_alt.value);
+                                        }
+#else
+                                        swapper{}
+#endif
+                                        ,
+                                        *this,
+                                        that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(lib::move(*rhs));
+#ifdef MPARK_EXCEPTIONS
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarantee.
+          try {
+            this->generic_construct(*rhs, lib::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, lib::move(tmp));
+            }
+            throw;
+          }
+#else
+          this->generic_construct(*rhs, lib::move(*lhs));
+#endif
+          this->generic_construct(*lhs, lib::move(tmp));
+        }
+      }
+
+      private:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct swapper {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &that_alt) const {
+          using std::swap;
+          swap(this_alt.value, that_alt.value);
+        }
+      };
+#endif
+
+      inline constexpr bool move_nothrow() const {
+        return this->valueless_by_exception() ||
+               lib::array<bool, sizeof...(Ts)>{
+                   {std::is_nothrow_move_constructible<Ts>::value...}
+               }[this->index()];
+      }
+    };
+
+#undef MPARK_INHERITING_CTOR
+
+    template <std::size_t I, typename T>
+    struct overload_leaf {
+      using F = lib::size_constant<I> (*)(T);
+      operator F() const { return nullptr; }
+    };
+
+    template <typename... Ts>
+    struct overload_impl {
+      private:
+      template <typename>
+      struct impl;
+
+      template <std::size_t... Is>
+      struct impl<lib::index_sequence<Is...>> : overload_leaf<Is, Ts>... {};
+
+      public:
+      using type = impl<lib::index_sequence_for<Ts...>>;
+    };
+
+    template <typename... Ts>
+    using overload = typename overload_impl<Ts...>::type;
+
+    template <typename T, typename... Ts>
+    using best_match = lib::invoke_result_t<overload<Ts...>, T &&>;
+
+    template <typename T>
+    struct is_in_place_index : std::false_type {};
+
+    template <std::size_t I>
+    struct is_in_place_index<in_place_index_t<I>> : std::true_type {};
+
+    template <typename T>
+    struct is_in_place_type : std::false_type {};
+
+    template <typename T>
+    struct is_in_place_type<in_place_type_t<T>> : std::true_type {};
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(lib::all<!std::is_array<Ts>::value...>::value,
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(lib::all<!std::is_reference<Ts>::value...>::value,
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(lib::all<!std::is_void<Ts>::value...>::value,
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = lib::type_pack_element_t<0, Ts...>,
+        lib::enable_if_t<std::is_default_constructible<Front>::value, int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index_t<0>{}) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <
+        typename Arg,
+        typename Decayed = lib::decay_t<Arg>,
+        lib::enable_if_t<!std::is_same<Decayed, variant>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_index<Decayed>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_type<Decayed>::value, int> = 0,
+        std::size_t I = detail::best_match<Arg, Ts...>::value,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Arg>::value, int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              lib::enable_if_t<!std::is_same<lib::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              std::size_t I = detail::best_match<Arg, Ts...>::value,
+              typename T = lib::type_pack_element_t<I, Ts...>,
+              lib::enable_if_t<(std::is_assignable<T &, Arg>::value &&
+                                std::is_constructible<T, Arg>::value),
+                               int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(lib::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <bool Dummy = true,
+              lib::enable_if_t<
+                  lib::all<Dummy,
+                           (lib::dependent_type<std::is_move_constructible<Ts>,
+                                                Dummy>::value &&
+                            lib::dependent_type<lib::is_swappable<Ts>,
+                                                Dummy>::value)...>::value,
+                  int> = 0>
+    inline void swap(variant &that) noexcept(
+        lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                  lib::is_nothrow_swappable<Ts>::value)...>::value) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <std::size_t I, typename V>
+    struct generic_get_impl {
+      constexpr generic_get_impl(int) noexcept {}
+
+      constexpr AUTO_REFREF operator()(V &&v) const
+        AUTO_REFREF_RETURN(
+            access::variant::get_alt<I>(lib::forward<V>(v)).value)
+    };
+
+    template <std::size_t I, typename V>
+    inline constexpr AUTO_REFREF generic_get(V &&v)
+      AUTO_REFREF_RETURN(generic_get_impl<I, V>(
+          holds_alternative<I>(v) ? 0 : (throw_bad_variant_access(), 0))(
+          lib::forward<V>(v)))
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr /* auto * */ AUTO generic_get_if(V *v) noexcept
+      AUTO_RETURN(v && holds_alternative<I>(*v)
+                      ? lib::addressof(access::variant::get_alt<I>(*v).value)
+                      : nullptr)
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <typename RelOp>
+    struct convert_to_bool {
+      template <typename Lhs, typename Rhs>
+      inline constexpr bool operator()(Lhs &&lhs, Rhs &&rhs) const {
+        static_assert(std::is_convertible<lib::invoke_result_t<RelOp, Lhs, Rhs>,
+                                          bool>::value,
+                      "relational operators must return a type"
+                      " implicitly convertible to bool");
+        return lib::invoke(
+            RelOp{}, lib::forward<Lhs>(lhs), lib::forward<Rhs>(rhs));
+      }
+    };
+  }  // namespace detail
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using equal_to = detail::convert_to_bool<lib::equal_to>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs);
+#else
+    return lhs.index() == rhs.index() &&
+           (lhs.valueless_by_exception() ||
+            variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using not_equal_to = detail::convert_to_bool<lib::not_equal_to>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs);
+#else
+    return lhs.index() != rhs.index() ||
+           (!lhs.valueless_by_exception() &&
+            variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using less = detail::convert_to_bool<lib::less>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less{}, lhs, rhs);
+#else
+    return !rhs.valueless_by_exception() &&
+           (lhs.valueless_by_exception() || lhs.index() < rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), less{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using greater = detail::convert_to_bool<lib::greater>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater{}, lhs, rhs);
+#else
+    return !lhs.valueless_by_exception() &&
+           (rhs.valueless_by_exception() || lhs.index() > rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), greater{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using less_equal = detail::convert_to_bool<lib::less_equal>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs);
+#else
+    return lhs.valueless_by_exception() ||
+           (!rhs.valueless_by_exception() &&
+            (lhs.index() < rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using greater_equal = detail::convert_to_bool<lib::greater_equal>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater_equal{}, lhs, rhs);
+#else
+    return rhs.valueless_by_exception() ||
+           (!lhs.valueless_by_exception() &&
+            (lhs.index() > rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(
+                  lhs.index(), greater_equal{}, lhs, rhs))));
+#endif
+  }
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+  namespace detail {
+
+    inline constexpr bool all(std::initializer_list<bool> bs) {
+      for (bool b : bs) {
+        if (!b) {
+          return false;
+        }
+      }
+      return true;
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr decltype(auto) visit(Visitor &&visitor, Vs &&... vs) {
+    return (detail::all({!vs.valueless_by_exception()...})
+                ? (void)0
+                : throw_bad_variant_access()),
+           detail::visitation::variant::visit_value(
+               lib::forward<Visitor>(visitor), lib::forward<Vs>(vs)...);
+  }
+#else
+  namespace detail {
+
+    template <std::size_t N>
+    inline constexpr bool all_impl(const lib::array<bool, N> &bs,
+                                   std::size_t idx) {
+      return idx >= N || (bs[idx] && all_impl(bs, idx + 1));
+    }
+
+    template <std::size_t N>
+    inline constexpr bool all(const lib::array<bool, N> &bs) {
+      return all_impl(bs, 0);
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr DECLTYPE_AUTO visit(Visitor &&visitor, Vs &&... vs)
+    DECLTYPE_AUTO_RETURN(
+        (detail::all(
+             lib::array<bool, sizeof...(Vs)>{{!vs.valueless_by_exception()...}})
+             ? (void)0
+             : throw_bad_variant_access()),
+        detail::visitation::variant::visit_value(lib::forward<Visitor>(visitor),
+                                                 lib::forward<Vs>(vs)...))
+#endif
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+  namespace detail {
+
+    template <typename T, typename...>
+    using enabled_type = T;
+
+    namespace hash {
+
+      template <typename H, typename K>
+      constexpr bool meets_requirements() noexcept {
+        return std::is_copy_constructible<H>::value &&
+               std::is_move_constructible<H>::value &&
+               lib::is_invocable_r<std::size_t, H, const K &>::value;
+      }
+
+      template <typename K>
+      constexpr bool is_enabled() noexcept {
+        using H = std::hash<K>;
+        return meets_requirements<H, K>() &&
+               std::is_default_constructible<H>::value &&
+               std::is_copy_assignable<H>::value &&
+               std::is_move_assignable<H>::value;
+      }
+
+    }  // namespace hash
+
+  }  // namespace detail
+
+#undef AUTO
+#undef AUTO_RETURN
+
+#undef AUTO_REFREF
+#undef AUTO_REFREF_RETURN
+
+#undef DECLTYPE_AUTO
+#undef DECLTYPE_AUTO_RETURN
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::detail::enabled_type<
+      mpark::variant<Ts...>,
+      mpark::lib::enable_if_t<mpark::lib::all<mpark::detail::hash::is_enabled<
+          mpark::lib::remove_const_t<Ts>>()...>::value>>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+#ifdef MPARK_GENERIC_LAMBDAS
+                    [](const auto &alt) {
+                      using alt_type = mpark::lib::decay_t<decltype(alt)>;
+                      using value_type = mpark::lib::remove_const_t<
+                          typename alt_type::value_type>;
+                      return hash<value_type>{}(alt.value);
+                    }
+#else
+                    hasher{}
+#endif
+                    ,
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+#ifndef MPARK_GENERIC_LAMBDAS
+    struct hasher {
+      template <typename Alt>
+      inline std::size_t operator()(const Alt &alt) const {
+        using alt_type = mpark::lib::decay_t<Alt>;
+        using value_type =
+            mpark::lib::remove_const_t<typename alt_type::value_type>;
+        return hash<value_type>{}(alt.value);
+      }
+    };
+#endif
+
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const noexcept {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/mpark-variant/v1.0.0/variant.hpp

@@ -0,0 +1,1729 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2016
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    void emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    void emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    void emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    void emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <array>
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2016
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+namespace mpark {
+
+  struct in_place_t {
+    explicit in_place_t() = default;
+  };
+
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I>
+  struct in_place_index_t {
+    explicit in_place_index_t() = default;
+  };
+
+  template <std::size_t I>
+  constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T>
+  struct in_place_type_t {
+    explicit in_place_type_t() = default;
+  };
+
+  template <typename T>
+  constexpr in_place_type_t<T> in_place_type{};
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2016
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_LIB_HPP
+#define MPARK_LIB_HPP
+
+#include <memory>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2016
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_CONFIG_HPP
+#define MPARK_CONFIG_HPP
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#if __has_builtin(__builtin_addressof) || __GNUC__ >= 7
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#endif  // MPARK_CONFIG_HPP
+
+
+namespace mpark {
+  namespace lib {
+
+    inline namespace cpp17 {
+
+      // <type_traits>
+      template <bool B>
+      using bool_constant = std::integral_constant<bool, B>;
+
+      template <typename...>
+      using void_t = void;
+
+      template <typename F, typename = void>
+      struct is_callable : std::false_type {};
+
+      template <typename F>
+      struct is_callable<F, void_t<std::result_of_t<F>>> : std::true_type {};
+
+      namespace detail {
+        namespace swappable {
+
+          using std::swap;
+
+          template <typename T>
+          struct is_swappable_impl {
+            private:
+            template <typename U,
+                      typename = decltype(swap(std::declval<U &>(),
+                                               std::declval<U &>()))>
+            inline static std::true_type test(int);
+
+            template <typename U>
+            inline static std::false_type test(...);
+
+            public:
+            using type = decltype(test<T>(0));
+          };
+
+          template <typename T>
+          using is_swappable = typename is_swappable_impl<T>::type;
+
+          template <typename T, bool = is_swappable<T>::value>
+          struct is_nothrow_swappable
+              : bool_constant<noexcept(
+                    swap(std::declval<T &>(), std::declval<T &>()))> {};
+
+          template <typename T>
+          struct is_nothrow_swappable<T, false> : std::false_type {};
+
+        }  // namespace swappable
+      }  // namespace detail
+
+      template <typename T>
+      using is_swappable = detail::swappable::is_swappable<T>;
+
+      template <typename T>
+      using is_nothrow_swappable = detail::swappable::is_nothrow_swappable<T>;
+
+      // <functional>
+#define RETURN(...) -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+      template <typename F, typename... As>
+      inline constexpr auto invoke(F &&f, As &&... as)
+          RETURN(std::forward<F>(f)(std::forward<As>(as)...))
+
+      template <typename B, typename T, typename D>
+      inline constexpr auto invoke(T B::*pmv, D &&d)
+          RETURN(std::forward<D>(d).*pmv)
+
+      template <typename Pmv, typename Ptr>
+      inline constexpr auto invoke(Pmv pmv, Ptr &&ptr)
+          RETURN((*std::forward<Ptr>(ptr)).*pmv)
+
+      template <typename B, typename T, typename D, typename... As>
+      inline constexpr auto invoke(T B::*pmf, D &&d, As &&... as)
+          RETURN((std::forward<D>(d).*pmf)(std::forward<As>(as)...))
+
+      template <typename Pmf, typename Ptr, typename... As>
+      inline constexpr auto invoke(Pmf pmf, Ptr &&ptr, As &&... as)
+          RETURN(((*std::forward<Ptr>(ptr)).*pmf)(std::forward<As>(as)...))
+
+#undef RETURN
+
+      // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return __builtin_addressof(arg);
+      }
+#else
+      namespace detail {
+
+        namespace has_addressof_impl {
+
+          struct fail;
+
+          template <typename T>
+          inline fail operator&(T &&);
+
+          template <typename T>
+          inline static constexpr bool impl() {
+            return (std::is_class<T>::value || std::is_union<T>::value) &&
+                   !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+          }
+
+        }  // namespace has_addressof_impl
+
+        template <typename T>
+        using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+      }  // namespace detail
+
+      template <typename T,
+                std::enable_if_t<detail::has_addressof<T>::value, int> = 0>
+      inline T *addressof(T &arg) {
+        return std::addressof(arg);
+      }
+
+      template <typename T,
+                std::enable_if_t<!detail::has_addressof<T>::value, int> = 0>
+      inline constexpr T *addressof(T &arg) {
+        return &arg;
+      }
+#endif
+
+      template <typename T>
+      inline const T *addressof(const T &&) = delete;
+
+    }  // namespace cpp17
+
+    template <typename T>
+    struct identity {
+      using type = T;
+    };
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+    template <std::size_t I, typename... Ts>
+    struct type_pack_element_impl {
+      private:
+      template <std::size_t, typename T>
+      struct indexed_type {
+        using type = T;
+      };
+
+      template <std::size_t... Is>
+      inline static auto make_set(std::index_sequence<Is...>) {
+        struct set : indexed_type<Is, Ts>... {};
+        return set{};
+      }
+
+      template <typename T>
+      inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+      inline static std::enable_if<false, void> impl(...);
+
+      public:
+      using type = decltype(impl(make_set(std::index_sequence_for<Ts...>{})));
+    };
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+  }  // namespace lib
+}  // namespace mpark
+
+#endif  // MPARK_LIB_HPP
+
+
+namespace mpark {
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept { return "bad_variant_access"; }
+  };
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>>
+      : std::integral_constant<std::size_t, sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "`variant_alternative` index out of range.");
+    using type = lib::type_pack_element_t<I, Ts...>;
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    inline constexpr bool all(std::initializer_list<bool> bs) {
+      for (bool b : bs) {
+        if (!b) {
+          return false;
+        }
+      }
+      return true;
+    }
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr bool matches[] = {std::is_same<T, Ts>::value...};
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        std::enable_if_t<I != not_found && I != ambiguous,
+                         std::integral_constant<std::size_t, I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : std::integral_constant<std::size_t, I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+    inline constexpr Trait common_trait(std::initializer_list<Trait> traits) {
+      Trait result = Trait::TriviallyAvailable;
+      for (Trait t : traits) {
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait({trait<Ts,
+                              std::is_trivially_copy_constructible,
+                              std::is_copy_constructible>()...});
+
+      static constexpr Trait move_constructible_trait =
+          common_trait({trait<Ts,
+                              std::is_trivially_move_constructible,
+                              std::is_move_constructible>()...});
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait({copy_constructible_trait,
+                        move_constructible_trait,
+                        trait<Ts,
+                              std::is_trivially_copy_assignable,
+                              std::is_copy_assignable>()...});
+
+      static constexpr Trait move_assignable_trait =
+          common_trait({move_constructible_trait,
+                        trait<Ts,
+                              std::is_trivially_move_assignable,
+                              std::is_move_assignable>()...});
+
+      static constexpr Trait destructible_trait =
+          common_trait({trait<Ts,
+                              std::is_trivially_destructible,
+                              std::is_destructible>()...});
+    };
+
+    namespace access {
+
+      struct recursive_union {
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return std::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(std::forward<V>(v).tail_, in_place_index<I - 1>);
+        }
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr auto &&get_alt(V &&v) {
+          return recursive_union::get_alt(std::forward<V>(v).data_,
+                                          in_place_index<I>);
+        }
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr auto &&get_alt(V &&v) {
+          return base::get_alt<I>(std::forward<V>(v).impl_);
+        }
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+      struct base {
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_alt_at(std::size_t index,
+                                                            Visitor &&visitor,
+                                                            Vs &&... vs) {
+          constexpr auto fdiagonal =
+              make_fdiagonal<Visitor &&,
+                             decltype(std::forward<Vs>(vs).as_base())...>();
+          return fdiagonal[index](std::forward<Visitor>(visitor),
+                                  std::forward<Vs>(vs).as_base()...);
+        }
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_alt(Visitor &&visitor,
+                                                         Vs &&... vs) {
+          constexpr auto fmatrix =
+              make_fmatrix<Visitor &&,
+                           decltype(std::forward<Vs>(vs).as_base())...>();
+          const std::size_t indices[] = {vs.index()...};
+          return at(fmatrix, indices)(std::forward<Visitor>(visitor),
+                                      std::forward<Vs>(vs).as_base()...);
+        }
+
+        private:
+        template <typename T>
+        inline static constexpr const T &at_impl(const T &elem,
+                                                 const std::size_t *) {
+          return elem;
+        }
+
+        template <typename T, std::size_t N>
+        inline static constexpr auto &&at_impl(const std::array<T, N> &elems,
+                                               const std::size_t *index) {
+          return at_impl(elems[*index], index + 1);
+        }
+
+        template <typename T, std::size_t N, std::size_t I>
+        inline static constexpr auto &&at(const std::array<T, N> &elems,
+                                          const std::size_t (&indices)[I]) {
+          return at_impl(elems, indices);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr void std_visit_visitor_return_type_check() {
+          static_assert(all({std::is_same<F, Fs>::value...}),
+                        "`std::visit` requires the visitor to have a single "
+                        "return type.");
+        }
+
+        template <typename... Fs>
+        inline static constexpr auto make_farray(Fs &&... fs) {
+          std_visit_visitor_return_type_check<std::decay_t<Fs>...>();
+          using result = std::array<std::common_type_t<std::decay_t<Fs>...>,
+                                    sizeof...(Fs)>;
+          return result{{std::forward<Fs>(fs)...}};
+        }
+
+        template <std::size_t... Is>
+        struct dispatcher {
+          template <typename F, typename... Vs>
+          inline static constexpr decltype(auto) dispatch(F f, Vs... vs) {
+            return lib::invoke(
+                static_cast<F>(f),
+                access::base::get_alt<Is>(static_cast<Vs>(vs))...);
+          }
+        };
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_dispatch(std::index_sequence<Is...>) {
+          return &dispatcher<Is...>::template dispatch<F, Vs...>;
+        }
+
+        template <std::size_t I, typename F, typename... Vs>
+        inline static constexpr auto make_fdiagonal_impl() {
+          return make_dispatch<F, Vs...>(
+              std::index_sequence<(lib::identity<Vs>{}, I)...>{});
+        }
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_fdiagonal_impl(
+            std::index_sequence<Is...>) {
+          return base::make_farray(make_fdiagonal_impl<Is, F, Vs...>()...);
+        }
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr auto make_fdiagonal() {
+          constexpr std::size_t N = std::decay_t<V>::size();
+          static_assert(all({(N == std::decay_t<Vs>::size())...}),
+                        "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>(
+              std::make_index_sequence<N>{});
+        }
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_fmatrix_impl(
+            std::index_sequence<Is...> is) {
+          return make_dispatch<F, Vs...>(is);
+        }
+
+        template <typename F,
+                  typename... Vs,
+                  std::size_t... Is,
+                  std::size_t... Js,
+                  typename... Ls>
+        inline static constexpr auto make_fmatrix_impl(
+            std::index_sequence<Is...>, std::index_sequence<Js...>, Ls... ls) {
+          return base::make_farray(make_fmatrix_impl<F, Vs...>(
+              std::index_sequence<Is..., Js>{}, ls...)...);
+        }
+
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>(
+              std::index_sequence<>{},
+              std::make_index_sequence<std::decay_t<Vs>::size()>{}...);
+        }
+      };
+
+      struct variant {
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_alt_at(std::size_t index,
+                                                            Visitor &&visitor,
+                                                            Vs &&... vs) {
+          return base::visit_alt_at(index,
+                                    std::forward<Visitor>(visitor),
+                                    std::forward<Vs>(vs).impl_...);
+        }
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_alt(Visitor &&visitor,
+                                                         Vs &&... vs) {
+          return base::visit_alt(std::forward<Visitor>(visitor),
+                                 std::forward<Vs>(vs).impl_...);
+        }
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_value_at(std::size_t index,
+                                                              Visitor &&visitor,
+                                                              Vs &&... vs) {
+          return visit_alt_at(
+              index,
+              make_value_visitor(std::forward<Visitor>(visitor)),
+              std::forward<Vs>(vs)...);
+        }
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_value(Visitor &&visitor,
+                                                           Vs &&... vs) {
+          return visit_alt(make_value_visitor(std::forward<Visitor>(visitor)),
+                           std::forward<Vs>(vs)...);
+        }
+
+        private:
+        template <typename Visitor, typename... Values>
+        inline static constexpr void std_visit_exhaustive_visitor_check() {
+          static_assert(lib::is_callable<Visitor(Values...)>::value,
+                        "`std::visit` requires the visitor to be exhaustive.");
+        }
+
+        template <typename Visitor>
+        struct value_visitor {
+          template <typename... Alts>
+          inline constexpr decltype(auto) operator()(Alts &&... alts) const {
+            std_visit_exhaustive_visitor_check<
+                Visitor,
+                decltype(std::forward<Alts>(alts).value_)...>();
+            return lib::invoke(std::forward<Visitor>(visitor_),
+                               std::forward<Alts>(alts).value_...);
+          }
+          Visitor &&visitor_;
+        };
+
+        template <typename Visitor>
+        inline static constexpr auto make_value_visitor(Visitor &&visitor) {
+          return value_visitor<Visitor>{std::forward<Visitor>(visitor)};
+        }
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value_(std::forward<Args>(args)...) {}
+
+      value_type value_;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)  \
+  template <std::size_t Index, typename T, typename... Ts>             \
+  union recursive_union<destructible_trait, Index, T, Ts...> {         \
+    public:                                                            \
+    inline explicit constexpr recursive_union(valueless_t) noexcept    \
+        : dummy_{} {}                                                  \
+                                                                       \
+    template <typename... Args>                                        \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,     \
+                                              Args &&... args)         \
+        : head_(in_place, std::forward<Args>(args)...) {}              \
+                                                                       \
+    template <std::size_t I, typename... Args>                         \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,     \
+                                              Args &&... args)         \
+        : tail_(in_place_index<I - 1>, std::forward<Args>(args)...) {} \
+                                                                       \
+    recursive_union(const recursive_union &) = default;                \
+    recursive_union(recursive_union &&) = default;                     \
+                                                                       \
+    destructor                                                         \
+                                                                       \
+    recursive_union &operator=(const recursive_union &) = default;     \
+    recursive_union &operator=(recursive_union &&) = default;          \
+                                                                       \
+    private:                                                           \
+    char dummy_;                                                       \
+    alt<Index, T> head_;                                               \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;       \
+                                                                       \
+    friend struct access::recursive_union;                             \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef _MPARK_VARIANT_UNION
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(-1) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index<I>, std::forward<Args>(args)...), index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index() == variant_npos;
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return index_ == static_cast<unsigned int>(-1) ? variant_npos : index_;
+      }
+
+      protected:
+      inline constexpr base &as_base() & { return *this; }
+      inline constexpr base &&as_base() && { return std::move(*this); }
+      inline constexpr const base &as_base() const & { return *this; }
+      inline constexpr const base &&as_base() const && { return std::move(*this); }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      recursive_union<DestructibleTrait, 0, Ts...> data_;
+      unsigned int index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    using super::super;                                                   \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    inline destroy                                                        \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(Trait::TriviallyAvailable,
+                             ~destructor() = default;,
+                             void destroy() noexcept { this->index_ = -1; });
+
+    MPARK_VARIANT_DESTRUCTOR(Trait::Available,
+                             ~destructor() { destroy(); },
+                             void destroy() noexcept {
+                               if (!this->valueless_by_exception()) {
+                                 visitation::base::visit_alt(
+                                     [](auto &alt) noexcept {
+                                       using alt_type =
+                                           std::decay_t<decltype(alt)>;
+                                       alt.~alt_type();
+                                     },
+                                     *this);
+                               }
+                               this->index_ = -1;
+                             });
+
+    MPARK_VARIANT_DESTRUCTOR(Trait::Unavailable,
+                             ~destructor() = delete;,
+                             void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      using super::super;
+      using super::operator=;
+
+      protected:
+      template <std::size_t I, typename T, typename... Args>
+      inline static void construct_alt(alt<I, T> &a, Args &&... args) {
+        ::new (static_cast<void *>(lib::addressof(a)))
+            alt<I, T>(in_place, std::forward<Args>(args)...);
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::base::visit_alt_at(
+              rhs.index(),
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt, std::forward<decltype(rhs_alt)>(rhs_alt).value_);
+              },
+              lhs,
+              std::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index();
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    using super::super;                                                      \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            all({std::is_nothrow_move_constructible<Ts>::value...}))
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, std::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    using super::super;                                                      \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      using super::super;
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline void emplace(Args &&... args) {
+        this->destroy();
+        this->construct_alt(access::base::get_alt<I>(*this),
+                            std::forward<Args>(args)...);
+        this->index_ = I;
+      }
+
+      protected:
+      template <bool CopyAssign, std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a,
+                             Arg &&arg,
+                             lib::bool_constant<CopyAssign> tag) {
+        if (this->index() == I) {
+          a.value_ = std::forward<Arg>(arg);
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(T(std::forward<Arg>(arg_)));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(std::forward<Arg>(arg_));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, std::forward<Arg>(arg)};
+          impl(tag);
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::base::visit_alt_at(
+              that.index(),
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt,
+                    std::forward<decltype(that_alt)>(that_alt).value_,
+                    std::is_lvalue_reference<That>{});
+              },
+              *this,
+              std::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    using super::super;                                                  \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            all({std::is_nothrow_move_constructible<Ts>::value &&
+                 std::is_nothrow_move_assignable<Ts>::value...})) {
+          this->generic_assign(std::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    using super::super;                                                  \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      using super::super;
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         std::forward<Arg>(arg),
+                         std::false_type{});
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::base::visit_alt_at(this->index(),
+                                         [](auto &this_alt, auto &that_alt) {
+                                           using std::swap;
+                                           swap(this_alt.value_,
+                                                that_alt.value_);
+                                         },
+                                         *this,
+                                         that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(std::move(*rhs));
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarentee.
+          try {
+            this->generic_construct(*rhs, std::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, std::move(tmp));
+            }
+            throw;
+          }
+          this->generic_construct(*lhs, std::move(tmp));
+        }
+      }
+
+      private:
+      inline constexpr bool move_nothrow() const {
+        constexpr bool results[] = {
+            std::is_nothrow_move_constructible<Ts>::value...};
+        return this->valueless_by_exception() || results[this->index()];
+      }
+    };
+
+    template <typename... Ts>
+    struct overload;
+
+    template <>
+    struct overload<> {
+      void operator()() const;
+    };
+
+    template <typename T, typename... Ts>
+    struct overload<T, Ts...> : overload<Ts...> {
+      using overload<Ts...>::operator();
+      lib::identity<T> operator()(T) const;
+    };
+
+    template <typename T, typename... Ts>
+    using best_match_t =
+        typename std::result_of_t<overload<Ts...>(T &&)>::type;
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(detail::all({!std::is_array<Ts>::value...}),
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(detail::all({!std::is_reference<Ts>::value...}),
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(detail::all({!std::is_void<Ts>::value...}),
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = lib::type_pack_element_t<0, Ts...>,
+        std::enable_if_t<std::is_default_constructible<Front>::value, int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index<0>) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <typename Arg,
+              std::enable_if_t<!std::is_same<std::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              typename T = detail::best_match_t<Arg, Ts...>,
+              std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+              std::enable_if_t<std::is_constructible<T, Arg>::value, int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index<I>, std::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        std::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index<I>, std::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        std::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index<I>, il, std::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        std::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index<I>, std::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        std::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index<I>, il, std::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              std::enable_if_t<!std::is_same<std::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              typename T = detail::best_match_t<Arg, Ts...>,
+              std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+              std::enable_if_t<std::is_assignable<T &, Arg>::value &&
+                                   std::is_constructible<T, Arg>::value,
+                               int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(std::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        std::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline void emplace(Args &&... args) {
+      impl_.template emplace<I>(std::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        std::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline void emplace(std::initializer_list<Up> il, Args &&... args) {
+      impl_.template emplace<I>(il, std::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        std::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline void emplace(Args &&... args) {
+      impl_.template emplace<I>(std::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        std::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline void emplace(std::initializer_list<Up> il, Args &&... args) {
+      impl_.template emplace<I>(il, std::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <
+        bool Dummy = true,
+        std::enable_if_t<detail::all({Dummy,
+                                      (std::is_move_constructible<Ts>::value &&
+                                       lib::is_swappable<Ts>::value)...}),
+                         int> = 0>
+    inline void swap(variant &that) noexcept(
+        detail::all({(std::is_nothrow_move_constructible<Ts>::value &&
+                      lib::is_nothrow_swappable<Ts>::value)...})) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr auto &&generic_get(V &&v) {
+      return (holds_alternative<I>(v) ? (void)0 : throw bad_variant_access{}),
+             access::variant::get_alt<I>(std::forward<V>(v)).value_;
+    }
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(std::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(std::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(std::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(std::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr auto *generic_get_if(V *v) noexcept {
+      return v && holds_alternative<I>(*v)
+                 ? lib::addressof(access::variant::get_alt<I>(*v).value_)
+                 : nullptr;
+    }
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr std::add_pointer_t<variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr std::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr std::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr std::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), std::equal_to<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(
+        lhs.index(), std::not_equal_to<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), std::less<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), std::greater<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), std::less_equal<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(
+        lhs.index(), std::greater_equal<>{}, lhs, rhs);
+  }
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr decltype(auto) visit(Visitor &&visitor, Vs &&... vs) {
+    using detail::visitation::variant;
+    return (detail::all({!vs.valueless_by_exception()...})
+                ? (void)0
+                : throw bad_variant_access{}),
+           variant::visit_value(std::forward<Visitor>(visitor),
+                                std::forward<Vs>(vs)...);
+  }
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::variant<Ts...>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+                    [](const auto &alt) {
+                      using alt_type = decay_t<decltype(alt)>;
+                      using value_type = typename alt_type::value_type;
+                      return hash<value_type>{}(alt.value_);
+                    },
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/mpark-variant/v1.0.1/variant.hpp

@@ -0,0 +1,1798 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2016
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    T& emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    T& emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    variant_alternative<I, variant>& emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    variant_alternative<I, variant>& emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <array>
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2016
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+namespace mpark {
+
+  struct in_place_t {
+    explicit in_place_t() = default;
+  };
+
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I>
+  struct in_place_index_t {
+    explicit in_place_index_t() = default;
+  };
+
+  template <std::size_t I>
+  constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T>
+  struct in_place_type_t {
+    explicit in_place_type_t() = default;
+  };
+
+  template <typename T>
+  constexpr in_place_type_t<T> in_place_type{};
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2016
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_LIB_HPP
+#define MPARK_LIB_HPP
+
+#include <memory>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2016
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_CONFIG_HPP
+#define MPARK_CONFIG_HPP
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#if __has_builtin(__builtin_addressof) || __GNUC__ >= 7
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#endif  // MPARK_CONFIG_HPP
+
+
+namespace mpark {
+  namespace lib {
+
+    template <typename T>
+    struct identity { using type = T; };
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+    template <std::size_t I, typename... Ts>
+    struct type_pack_element_impl {
+      private:
+      template <std::size_t, typename T>
+      struct indexed_type : identity<T> {};
+
+      template <std::size_t... Is>
+      inline static auto make_set(std::index_sequence<Is...>) {
+        struct set : indexed_type<Is, Ts>... {};
+        return set{};
+      }
+
+      template <typename T>
+      inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+      inline static std::enable_if<false> impl(...);
+
+      public:
+      using type = decltype(impl(make_set(std::index_sequence_for<Ts...>{})));
+    };
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+    inline namespace cpp17 {
+
+      // <type_traits>
+      template <bool B>
+      using bool_constant = std::integral_constant<bool, B>;
+
+      template <typename...>
+      using void_t = void;
+
+      namespace detail {
+        namespace swappable {
+
+          using std::swap;
+
+          template <typename T>
+          struct is_swappable_impl {
+            private:
+            template <typename U,
+                      typename = decltype(swap(std::declval<U &>(),
+                                               std::declval<U &>()))>
+            inline static std::true_type test(int);
+
+            template <typename U>
+            inline static std::false_type test(...);
+
+            public:
+            using type = decltype(test<T>(0));
+          };
+
+          template <typename T>
+          using is_swappable = typename is_swappable_impl<T>::type;
+
+          template <typename T, bool = is_swappable<T>::value>
+          struct is_nothrow_swappable
+              : bool_constant<noexcept(
+                    swap(std::declval<T &>(), std::declval<T &>()))> {};
+
+          template <typename T>
+          struct is_nothrow_swappable<T, false> : std::false_type {};
+
+        }  // namespace swappable
+      }  // namespace detail
+
+      template <typename T>
+      using is_swappable = detail::swappable::is_swappable<T>;
+
+      template <typename T>
+      using is_nothrow_swappable = detail::swappable::is_nothrow_swappable<T>;
+
+      // <functional>
+#define RETURN(...) -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+      template <typename F, typename... As>
+      inline constexpr auto invoke(F &&f, As &&... as)
+          RETURN(std::forward<F>(f)(std::forward<As>(as)...))
+
+      template <typename B, typename T, typename D>
+      inline constexpr auto invoke(T B::*pmv, D &&d)
+          RETURN(std::forward<D>(d).*pmv)
+
+      template <typename Pmv, typename Ptr>
+      inline constexpr auto invoke(Pmv pmv, Ptr &&ptr)
+          RETURN((*std::forward<Ptr>(ptr)).*pmv)
+
+      template <typename B, typename T, typename D, typename... As>
+      inline constexpr auto invoke(T B::*pmf, D &&d, As &&... as)
+          RETURN((std::forward<D>(d).*pmf)(std::forward<As>(as)...))
+
+      template <typename Pmf, typename Ptr, typename... As>
+      inline constexpr auto invoke(Pmf pmf, Ptr &&ptr, As &&... as)
+          RETURN(((*std::forward<Ptr>(ptr)).*pmf)(std::forward<As>(as)...))
+
+#undef RETURN
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct invoke_result {};
+
+        template <typename F, typename... Args>
+        struct invoke_result<void_t<decltype(lib::invoke(
+                                 std::declval<F>(), std::declval<Args>()...))>,
+                             F,
+                             Args...>
+            : identity<decltype(
+                  lib::invoke(std::declval<F>(), std::declval<Args>()...))> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using invoke_result = detail::invoke_result<void, F, Args...>;
+
+      template <typename F, typename... Args>
+      using invoke_result_t = typename invoke_result<F, Args...>::type;
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct is_invocable : std::false_type {};
+
+        template <typename F, typename... Args>
+        struct is_invocable<void_t<invoke_result_t<F, Args...>>, F, Args...>
+            : std::true_type {};
+
+        template <typename Void, typename, typename, typename...>
+        struct is_invocable_r : std::false_type {};
+
+        template <typename R, typename F, typename... Args>
+        struct is_invocable_r<void_t<invoke_result_t<F, Args...>>,
+                              R,
+                              F,
+                              Args...>
+            : std::is_convertible<invoke_result_t<F, Args...>, R> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using is_invocable = detail::is_invocable<void, F, Args...>;
+
+      template <typename R, typename F, typename... Args>
+      using is_invocable_r = detail::is_invocable_r<void, R, F, Args...>;
+
+      // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return __builtin_addressof(arg);
+      }
+#else
+      namespace detail {
+
+        namespace has_addressof_impl {
+
+          struct fail;
+
+          template <typename T>
+          inline fail operator&(T &&);
+
+          template <typename T>
+          inline static constexpr bool impl() {
+            return (std::is_class<T>::value || std::is_union<T>::value) &&
+                   !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+          }
+
+        }  // namespace has_addressof_impl
+
+        template <typename T>
+        using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+      }  // namespace detail
+
+      template <typename T,
+                std::enable_if_t<detail::has_addressof<T>::value, int> = 0>
+      inline T *addressof(T &arg) {
+        return std::addressof(arg);
+      }
+
+      template <typename T,
+                std::enable_if_t<!detail::has_addressof<T>::value, int> = 0>
+      inline constexpr T *addressof(T &arg) {
+        return &arg;
+      }
+#endif
+
+      template <typename T>
+      inline const T *addressof(const T &&) = delete;
+
+    }  // namespace cpp17
+
+  }  // namespace lib
+}  // namespace mpark
+
+#endif  // MPARK_LIB_HPP
+
+
+namespace mpark {
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept { return "bad_variant_access"; }
+  };
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>>
+      : std::integral_constant<std::size_t, sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>>
+      : lib::identity<lib::type_pack_element_t<I, Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "`variant_alternative` index out of range.");
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    inline constexpr bool all(std::initializer_list<bool> bs) {
+      for (bool b : bs) {
+        if (!b) {
+          return false;
+        }
+      }
+      return true;
+    }
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr bool matches[] = {std::is_same<T, Ts>::value...};
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        std::enable_if_t<I != not_found && I != ambiguous,
+                         std::integral_constant<std::size_t, I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : std::integral_constant<std::size_t, I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+    inline constexpr Trait common_trait(std::initializer_list<Trait> traits) {
+      Trait result = Trait::TriviallyAvailable;
+      for (Trait t : traits) {
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait({trait<Ts,
+                              std::is_trivially_copy_constructible,
+                              std::is_copy_constructible>()...});
+
+      static constexpr Trait move_constructible_trait =
+          common_trait({trait<Ts,
+                              std::is_trivially_move_constructible,
+                              std::is_move_constructible>()...});
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait({copy_constructible_trait,
+                        move_constructible_trait,
+                        trait<Ts,
+                              std::is_trivially_copy_assignable,
+                              std::is_copy_assignable>()...});
+
+      static constexpr Trait move_assignable_trait =
+          common_trait({move_constructible_trait,
+                        trait<Ts,
+                              std::is_trivially_move_assignable,
+                              std::is_move_assignable>()...});
+
+      static constexpr Trait destructible_trait =
+          common_trait({trait<Ts,
+                              std::is_trivially_destructible,
+                              std::is_destructible>()...});
+    };
+
+    namespace access {
+
+      struct recursive_union {
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return std::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(std::forward<V>(v).tail_, in_place_index<I - 1>);
+        }
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr auto &&get_alt(V &&v) {
+          return recursive_union::get_alt(std::forward<V>(v).data_,
+                                          in_place_index<I>);
+        }
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr auto &&get_alt(V &&v) {
+          return base::get_alt<I>(std::forward<V>(v).impl_);
+        }
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+      struct base {
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_alt_at(std::size_t index,
+                                                            Visitor &&visitor,
+                                                            Vs &&... vs) {
+          constexpr auto fdiagonal =
+              make_fdiagonal<Visitor &&,
+                             decltype(std::forward<Vs>(vs).as_base())...>();
+          return fdiagonal[index](std::forward<Visitor>(visitor),
+                                  std::forward<Vs>(vs).as_base()...);
+        }
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_alt(Visitor &&visitor,
+                                                         Vs &&... vs) {
+          constexpr auto fmatrix =
+              make_fmatrix<Visitor &&,
+                           decltype(std::forward<Vs>(vs).as_base())...>();
+          return at(fmatrix, vs.index()...)(std::forward<Visitor>(visitor),
+                                            std::forward<Vs>(vs).as_base()...);
+        }
+
+        private:
+        template <typename T>
+        inline static constexpr const T &at(const T &elem) {
+          return elem;
+        }
+
+        template <typename T, std::size_t N, typename... Is>
+        inline static constexpr auto &&at(const std::array<T, N> &elems,
+                                          std::size_t i,
+                                          Is... is) {
+          return at(elems[i], is...);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr void visit_visitor_return_type_check() {
+          static_assert(all({std::is_same<F, Fs>::value...}),
+                        "`mpark::visit` requires the visitor to have a single "
+                        "return type.");
+        }
+
+        template <typename... Fs>
+        inline static constexpr auto make_farray(Fs &&... fs) {
+          visit_visitor_return_type_check<std::decay_t<Fs>...>();
+          using result = std::array<std::common_type_t<std::decay_t<Fs>...>,
+                                    sizeof...(Fs)>;
+          return result{{std::forward<Fs>(fs)...}};
+        }
+
+        template <std::size_t... Is>
+        struct dispatcher {
+          template <typename F, typename... Vs>
+          inline static constexpr decltype(auto) dispatch(F f, Vs... vs) {
+            return lib::invoke(
+                static_cast<F>(f),
+                access::base::get_alt<Is>(static_cast<Vs>(vs))...);
+          }
+        };
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_dispatch(std::index_sequence<Is...>) {
+          return &dispatcher<Is...>::template dispatch<F, Vs...>;
+        }
+
+        template <std::size_t I, typename F, typename... Vs>
+        inline static constexpr auto make_fdiagonal_impl() {
+          return make_dispatch<F, Vs...>(
+              std::index_sequence<(lib::identity<Vs>{}, I)...>{});
+        }
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_fdiagonal_impl(
+            std::index_sequence<Is...>) {
+          return base::make_farray(make_fdiagonal_impl<Is, F, Vs...>()...);
+        }
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr auto make_fdiagonal() {
+          constexpr std::size_t N = std::decay_t<V>::size();
+          static_assert(all({(N == std::decay_t<Vs>::size())...}),
+                        "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>(
+              std::make_index_sequence<N>{});
+        }
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_fmatrix_impl(
+            std::index_sequence<Is...> is) {
+          return make_dispatch<F, Vs...>(is);
+        }
+
+        template <typename F,
+                  typename... Vs,
+                  std::size_t... Is,
+                  std::size_t... Js,
+                  typename... Ls>
+        inline static constexpr auto make_fmatrix_impl(
+            std::index_sequence<Is...>, std::index_sequence<Js...>, Ls... ls) {
+          return base::make_farray(make_fmatrix_impl<F, Vs...>(
+              std::index_sequence<Is..., Js>{}, ls...)...);
+        }
+
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>(
+              std::index_sequence<>{},
+              std::make_index_sequence<std::decay_t<Vs>::size()>{}...);
+        }
+      };
+
+      struct variant {
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_alt_at(std::size_t index,
+                                                            Visitor &&visitor,
+                                                            Vs &&... vs) {
+          return base::visit_alt_at(index,
+                                    std::forward<Visitor>(visitor),
+                                    std::forward<Vs>(vs).impl_...);
+        }
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_alt(Visitor &&visitor,
+                                                         Vs &&... vs) {
+          return base::visit_alt(std::forward<Visitor>(visitor),
+                                 std::forward<Vs>(vs).impl_...);
+        }
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_value_at(std::size_t index,
+                                                              Visitor &&visitor,
+                                                              Vs &&... vs) {
+          return visit_alt_at(
+              index,
+              make_value_visitor(std::forward<Visitor>(visitor)),
+              std::forward<Vs>(vs)...);
+        }
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr decltype(auto) visit_value(Visitor &&visitor,
+                                                           Vs &&... vs) {
+          return visit_alt(make_value_visitor(std::forward<Visitor>(visitor)),
+                           std::forward<Vs>(vs)...);
+        }
+
+        private:
+        template <typename Visitor, typename... Values>
+        inline static constexpr void visit_exhaustive_visitor_check() {
+          static_assert(
+              lib::is_invocable<Visitor, Values...>::value,
+              "`mpark::visit` requires the visitor to be exhaustive.");
+        }
+
+        template <typename Visitor>
+        struct value_visitor {
+          template <typename... Alts>
+          inline constexpr decltype(auto) operator()(Alts &&... alts) const {
+            visit_exhaustive_visitor_check<
+                Visitor,
+                decltype((std::forward<Alts>(alts).value_))...>();
+            return lib::invoke(std::forward<Visitor>(visitor_),
+                               std::forward<Alts>(alts).value_...);
+          }
+          Visitor &&visitor_;
+        };
+
+        template <typename Visitor>
+        inline static constexpr auto make_value_visitor(Visitor &&visitor) {
+          return value_visitor<Visitor>{std::forward<Visitor>(visitor)};
+        }
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value_(std::forward<Args>(args)...) {}
+
+      value_type value_;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)  \
+  template <std::size_t Index, typename T, typename... Ts>             \
+  union recursive_union<destructible_trait, Index, T, Ts...> {         \
+    public:                                                            \
+    inline explicit constexpr recursive_union(valueless_t) noexcept    \
+        : dummy_{} {}                                                  \
+                                                                       \
+    template <typename... Args>                                        \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,     \
+                                              Args &&... args)         \
+        : head_(in_place, std::forward<Args>(args)...) {}              \
+                                                                       \
+    template <std::size_t I, typename... Args>                         \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,     \
+                                              Args &&... args)         \
+        : tail_(in_place_index<I - 1>, std::forward<Args>(args)...) {} \
+                                                                       \
+    recursive_union(const recursive_union &) = default;                \
+    recursive_union(recursive_union &&) = default;                     \
+                                                                       \
+    destructor                                                         \
+                                                                       \
+    recursive_union &operator=(const recursive_union &) = default;     \
+    recursive_union &operator=(recursive_union &&) = default;          \
+                                                                       \
+    private:                                                           \
+    char dummy_;                                                       \
+    alt<Index, T> head_;                                               \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;       \
+                                                                       \
+    friend struct access::recursive_union;                             \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef _MPARK_VARIANT_UNION
+
+    using index_t = unsigned int;
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(static_cast<index_t>(-1)) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index<I>, std::forward<Args>(args)...), index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index_ == static_cast<index_t>(-1);
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return valueless_by_exception() ? variant_npos : index_;
+      }
+
+      protected:
+      inline constexpr base &as_base() & { return *this; }
+      inline constexpr base &&as_base() && { return std::move(*this); }
+      inline constexpr const base &as_base() const & { return *this; }
+      inline constexpr const base &&as_base() const && { return std::move(*this); }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      recursive_union<DestructibleTrait, 0, Ts...> data_;
+      index_t index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    using super::super;                                                   \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    inline destroy                                                        \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(Trait::TriviallyAvailable,
+                             ~destructor() = default;,
+                             void destroy() noexcept {
+                               this->index_ = static_cast<index_t>(-1);
+                             });
+
+    MPARK_VARIANT_DESTRUCTOR(Trait::Available,
+                             ~destructor() { destroy(); },
+                             void destroy() noexcept {
+                               if (!this->valueless_by_exception()) {
+                                 visitation::base::visit_alt(
+                                     [](auto &alt) noexcept {
+                                       using alt_type =
+                                           std::decay_t<decltype(alt)>;
+                                       alt.~alt_type();
+                                     },
+                                     *this);
+                               }
+                               this->index_ = static_cast<index_t>(-1);
+                             });
+
+    MPARK_VARIANT_DESTRUCTOR(Trait::Unavailable,
+                             ~destructor() = delete;,
+                             void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      using super::super;
+      using super::operator=;
+
+      protected:
+      template <std::size_t I, typename T, typename... Args>
+      inline static T &construct_alt(alt<I, T> &a, Args &&... args) {
+        ::new (static_cast<void *>(lib::addressof(a)))
+            alt<I, T>(in_place, std::forward<Args>(args)...);
+        return a.value_;
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::base::visit_alt_at(
+              rhs.index(),
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt, std::forward<decltype(rhs_alt)>(rhs_alt).value_);
+              },
+              lhs,
+              std::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index_;
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    using super::super;                                                      \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            all({std::is_nothrow_move_constructible<Ts>::value...}))
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, std::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    using super::super;                                                      \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      using super::super;
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline auto &emplace(Args &&... args) {
+        this->destroy();
+        auto &result = this->construct_alt(access::base::get_alt<I>(*this),
+                                           std::forward<Args>(args)...);
+        this->index_ = I;
+        return result;
+      }
+
+      protected:
+      template <bool CopyAssign, std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a,
+                             Arg &&arg,
+                             lib::bool_constant<CopyAssign> tag) {
+        if (this->index() == I) {
+          a.value_ = std::forward<Arg>(arg);
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(T(std::forward<Arg>(arg_)));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(std::forward<Arg>(arg_));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, std::forward<Arg>(arg)};
+          impl(tag);
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::base::visit_alt_at(
+              that.index(),
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt,
+                    std::forward<decltype(that_alt)>(that_alt).value_,
+                    std::is_lvalue_reference<That>{});
+              },
+              *this,
+              std::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    using super::super;                                                  \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            all({std::is_nothrow_move_constructible<Ts>::value &&
+                 std::is_nothrow_move_assignable<Ts>::value...})) {
+          this->generic_assign(std::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    using super::super;                                                  \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      using super::super;
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         std::forward<Arg>(arg),
+                         std::false_type{});
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::base::visit_alt_at(this->index(),
+                                         [](auto &this_alt, auto &that_alt) {
+                                           using std::swap;
+                                           swap(this_alt.value_,
+                                                that_alt.value_);
+                                         },
+                                         *this,
+                                         that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(std::move(*rhs));
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarentee.
+          try {
+            this->generic_construct(*rhs, std::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, std::move(tmp));
+            }
+            throw;
+          }
+          this->generic_construct(*lhs, std::move(tmp));
+        }
+      }
+
+      private:
+      inline constexpr bool move_nothrow() const {
+        constexpr bool results[] = {
+            std::is_nothrow_move_constructible<Ts>::value...};
+        return this->valueless_by_exception() || results[this->index()];
+      }
+    };
+
+    template <typename... Ts>
+    struct overload;
+
+    template <>
+    struct overload<> {
+      void operator()() const;
+    };
+
+    template <typename T, typename... Ts>
+    struct overload<T, Ts...> : overload<Ts...> {
+      using overload<Ts...>::operator();
+      lib::identity<T> operator()(T) const;
+    };
+
+    template <typename T, typename... Ts>
+    using best_match_t =
+        typename lib::invoke_result_t<overload<Ts...>, T &&>::type;
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(detail::all({!std::is_array<Ts>::value...}),
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(detail::all({!std::is_reference<Ts>::value...}),
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(detail::all({!std::is_void<Ts>::value...}),
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = lib::type_pack_element_t<0, Ts...>,
+        std::enable_if_t<std::is_default_constructible<Front>::value, int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index<0>) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <typename Arg,
+              std::enable_if_t<!std::is_same<std::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              typename T = detail::best_match_t<Arg, Ts...>,
+              std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+              std::enable_if_t<std::is_constructible<T, Arg>::value, int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index<I>, std::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        std::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index<I>, std::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        std::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index<I>, il, std::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        std::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index<I>, std::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        std::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index<I>, il, std::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              std::enable_if_t<!std::is_same<std::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              typename T = detail::best_match_t<Arg, Ts...>,
+              std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+              std::enable_if_t<std::is_assignable<T &, Arg>::value &&
+                                   std::is_constructible<T, Arg>::value,
+                               int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(std::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        std::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(std::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        std::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, std::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        std::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(std::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        std::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, std::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <
+        bool Dummy = true,
+        std::enable_if_t<detail::all({Dummy,
+                                      (std::is_move_constructible<Ts>::value &&
+                                       lib::is_swappable<Ts>::value)...}),
+                         int> = 0>
+    inline void swap(variant &that) noexcept(
+        detail::all({(std::is_nothrow_move_constructible<Ts>::value &&
+                      lib::is_nothrow_swappable<Ts>::value)...})) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr auto &&generic_get(V &&v) {
+      return (holds_alternative<I>(v) ? (void)0 : throw bad_variant_access{}),
+             access::variant::get_alt<I>(std::forward<V>(v)).value_;
+    }
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(std::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(std::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(std::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(std::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr auto *generic_get_if(V *v) noexcept {
+      return v && holds_alternative<I>(*v)
+                 ? lib::addressof(access::variant::get_alt<I>(*v).value_)
+                 : nullptr;
+    }
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr std::add_pointer_t<variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr std::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr std::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr std::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), std::equal_to<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(
+        lhs.index(), std::not_equal_to<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), std::less<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), std::greater<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), std::less_equal<>{}, lhs, rhs);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(
+        lhs.index(), std::greater_equal<>{}, lhs, rhs);
+  }
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr decltype(auto) visit(Visitor &&visitor, Vs &&... vs) {
+    using detail::visitation::variant;
+    return (detail::all({!vs.valueless_by_exception()...})
+                ? (void)0
+                : throw bad_variant_access{}),
+           variant::visit_value(std::forward<Visitor>(visitor),
+                                std::forward<Vs>(vs)...);
+  }
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+  namespace detail {
+
+    template <typename T, typename...>
+    using enabled_type = T;
+
+    namespace hash {
+
+      template <typename Hash, typename Key>
+      constexpr bool meets_requirements() {
+        return std::is_copy_constructible<Hash>::value &&
+               std::is_move_constructible<Hash>::value &&
+               lib::is_invocable_r<std::size_t, Hash, const Key &>::value;
+      }
+
+      template <typename Key>
+      constexpr bool is_enabled() {
+        using Hash = std::hash<Key>;
+        return meets_requirements<Hash, Key>() &&
+               std::is_default_constructible<Hash>::value &&
+               std::is_copy_assignable<Hash>::value &&
+               std::is_move_assignable<Hash>::value;
+      }
+
+    }  // namespace hash
+
+  }  // namespace detail
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::detail::enabled_type<
+      mpark::variant<Ts...>,
+      std::enable_if_t<mpark::detail::all(
+          {mpark::detail::hash::is_enabled<std::remove_const_t<Ts>>()...})>>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+                    [](const auto &alt) {
+                      using alt_type = decay_t<decltype(alt)>;
+                      using value_type =
+                          std::remove_const_t<typename alt_type::value_type>;
+                      return hash<value_type>{}(alt.value_);
+                    },
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const noexcept {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/mpark-variant/v1.1.0/variant.hpp

@@ -0,0 +1,2360 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    T& emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    T& emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    variant_alternative<I, variant>& emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    variant_alternative<I, variant>& emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANTS_CONFIG_HPP
+#define MPARK_VARIANTS_CONFIG_HPP
+
+// MSVC 2015 Update 3.
+#if __cplusplus < 201103L && (!defined(_MSC_VER) || _MSC_FULL_VER < 190024215)
+#error "MPark.Variant requires C++11 support."
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#if __has_builtin(__builtin_addressof) || __GNUC__ >= 7 || defined(_MSC_VER)
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 201304
+#define MPARK_CPP14_CONSTEXPR
+#endif
+
+#if defined(__cpp_generic_lambdas) || defined(_MSC_VER)
+#define MPARK_GENERIC_LAMBDAS
+#endif
+
+#if defined(__cpp_lib_integer_sequence)
+#define MPARK_INTEGER_SEQUENCE
+#endif
+
+#if defined(__cpp_return_type_deduction) || defined(_MSC_VER)
+#define MPARK_RETURN_TYPE_DEDUCTION
+#endif
+
+#if defined(__cpp_lib_transparent_operators) || defined(_MSC_VER)
+#define MPARK_TRANSPARENT_OPERATORS
+#endif
+
+#if defined(__cpp_variable_templates) || defined(_MSC_VER)
+#define MPARK_VARIABLE_TEMPLATES
+#endif
+
+#endif  // MPARK_VARIANTS_CONFIG_HPP
+
+
+namespace mpark {
+
+  struct in_place_t { explicit in_place_t() = default; };
+
+  template <std::size_t I>
+  struct in_place_index_t { explicit in_place_index_t() = default; };
+
+  template <typename T>
+  struct in_place_type_t { explicit in_place_type_t() = default; };
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I> constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T> constexpr in_place_type_t<T> in_place_type{};
+#endif
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANTS_LIB_HPP
+#define MPARK_VARIANTS_LIB_HPP
+
+#include <memory>
+#include <functional>
+#include <type_traits>
+#include <utility>
+
+
+#define RETURN(...)                                          \
+  noexcept(noexcept(__VA_ARGS__)) -> decltype(__VA_ARGS__) { \
+    return __VA_ARGS__;                                      \
+  }
+
+namespace mpark {
+  namespace variants {
+    namespace lib {
+
+      template <typename T>
+      struct identity { using type = T; };
+
+      inline namespace cpp14 {
+        template <typename T, std::size_t N>
+        struct array {
+          constexpr const T &operator[](std::size_t index) const {
+            return data[index];
+          }
+
+          T data[N == 0 ? 1 : N];
+        };
+
+        template <typename T>
+        using add_pointer_t = typename std::add_pointer<T>::type;
+
+        template <typename... Ts>
+        using common_type_t = typename std::common_type<Ts...>::type;
+
+        template <typename T>
+        using decay_t = typename std::decay<T>::type;
+
+        template <bool B, typename T = void>
+        using enable_if_t = typename std::enable_if<B, T>::type;
+
+        template <typename T>
+        using remove_const_t = typename std::remove_const<T>::type;
+
+        template <typename T>
+        using remove_reference_t = typename std::remove_reference<T>::type;
+
+        template <typename T>
+        inline constexpr T &&forward(remove_reference_t<T> &t) noexcept {
+          return static_cast<T &&>(t);
+        }
+
+        template <typename T>
+        inline constexpr T &&forward(remove_reference_t<T> &&t) noexcept {
+          static_assert(!std::is_lvalue_reference<T>::value,
+                        "can not forward an rvalue as an lvalue");
+          return static_cast<T &&>(t);
+        }
+
+        template <typename T>
+        constexpr remove_reference_t<T> &&move(T &&t) noexcept {
+          return static_cast<remove_reference_t<T> &&>(t);
+        }
+
+#ifdef MPARK_INTEGER_SEQUENCE
+        template <typename T, T... Is>
+        using integer_sequence = std::integer_sequence<T, Is...>;
+
+        template <std::size_t... Is>
+        using index_sequence = std::index_sequence<Is...>;
+
+        template <std::size_t N>
+        using make_index_sequence = std::make_index_sequence<N>;
+
+        template <typename... Ts>
+        using index_sequence_for = std::index_sequence_for<Ts...>;
+#else
+        template <typename T, T... Is>
+        struct integer_sequence {
+          using value_type = T;
+          static constexpr std::size_t size() noexcept { return sizeof...(Is); }
+        };
+
+        template <std::size_t... Is>
+        using index_sequence = integer_sequence<std::size_t, Is...>;
+
+        template <typename Lhs, typename Rhs>
+        struct make_index_sequence_concat;
+
+        template <std::size_t... Lhs, std::size_t... Rhs>
+        struct make_index_sequence_concat<index_sequence<Lhs...>,
+                                          index_sequence<Rhs...>>
+            : identity<index_sequence<Lhs..., (sizeof...(Lhs) + Rhs)...>> {};
+
+        template <std::size_t N>
+        struct make_index_sequence_impl;
+
+        template <std::size_t N>
+        using make_index_sequence = typename make_index_sequence_impl<N>::type;
+
+        template <std::size_t N>
+        struct make_index_sequence_impl
+            : make_index_sequence_concat<make_index_sequence<N / 2>,
+                                         make_index_sequence<N - (N / 2)>> {};
+
+        template <>
+        struct make_index_sequence_impl<0> : identity<index_sequence<>> {};
+
+        template <>
+        struct make_index_sequence_impl<1> : identity<index_sequence<0>> {};
+
+        template <typename... Ts>
+        using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
+#endif
+
+        // <functional>
+#ifdef MPARK_TRANSPARENT_OPERATORS
+        using equal_to = std::equal_to<>;
+#else
+        struct equal_to {
+          template <typename Lhs, typename Rhs>
+          inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+            RETURN(lib::forward<Lhs>(lhs) == lib::forward<Rhs>(rhs))
+        };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+        using not_equal_to = std::not_equal_to<>;
+#else
+        struct not_equal_to {
+          template <typename Lhs, typename Rhs>
+          inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+            RETURN(lib::forward<Lhs>(lhs) != lib::forward<Rhs>(rhs))
+        };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+        using less = std::less<>;
+#else
+        struct less {
+          template <typename Lhs, typename Rhs>
+          inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+            RETURN(lib::forward<Lhs>(lhs) < lib::forward<Rhs>(rhs))
+        };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+        using greater = std::greater<>;
+#else
+        struct greater {
+          template <typename Lhs, typename Rhs>
+          inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+            RETURN(lib::forward<Lhs>(lhs) > lib::forward<Rhs>(rhs))
+        };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+        using less_equal = std::less_equal<>;
+#else
+        struct less_equal {
+          template <typename Lhs, typename Rhs>
+          inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+            RETURN(lib::forward<Lhs>(lhs) <= lib::forward<Rhs>(rhs))
+        };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+        using greater_equal = std::greater_equal<>;
+#else
+        struct greater_equal {
+          template <typename Lhs, typename Rhs>
+          inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+            RETURN(lib::forward<Lhs>(lhs) >= lib::forward<Rhs>(rhs))
+        };
+#endif
+      }  // namespace cpp14
+
+      inline namespace cpp17 {
+
+        // <type_traits>
+        template <bool B>
+        using bool_constant = std::integral_constant<bool, B>;
+
+        template <typename...>
+        using void_t = void;
+
+        namespace detail {
+          namespace swappable {
+
+            using std::swap;
+
+            template <typename T>
+            struct is_swappable_impl {
+              private:
+              template <typename U,
+                        typename = decltype(swap(std::declval<U &>(),
+                                                 std::declval<U &>()))>
+              inline static std::true_type test(int);
+
+              template <typename U>
+              inline static std::false_type test(...);
+
+              public:
+              using type = decltype(test<T>(0));
+            };
+
+            template <typename T>
+            using is_swappable = typename is_swappable_impl<T>::type;
+
+            template <typename T, bool = is_swappable<T>::value>
+            struct is_nothrow_swappable {
+              static constexpr bool value =
+                  noexcept(swap(std::declval<T &>(), std::declval<T &>()));
+            };
+
+            template <typename T>
+            struct is_nothrow_swappable<T, false> : std::false_type {};
+
+          }  // namespace swappable
+        }  // namespace detail
+
+        template <typename T>
+        using is_swappable = detail::swappable::is_swappable<T>;
+
+        template <typename T>
+        using is_nothrow_swappable = detail::swappable::is_nothrow_swappable<T>;
+
+        // <functional>
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+        template <typename F, typename... As>
+        inline constexpr auto invoke(F &&f, As &&... as)
+            RETURN(lib::forward<F>(f)(lib::forward<As>(as)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+        template <typename B, typename T, typename D>
+        inline constexpr auto invoke(T B::*pmv, D &&d)
+            RETURN(lib::forward<D>(d).*pmv)
+
+        template <typename Pmv, typename Ptr>
+        inline constexpr auto invoke(Pmv pmv, Ptr &&ptr)
+            RETURN((*lib::forward<Ptr>(ptr)).*pmv)
+
+        template <typename B, typename T, typename D, typename... As>
+        inline constexpr auto invoke(T B::*pmf, D &&d, As &&... as)
+            RETURN((lib::forward<D>(d).*pmf)(lib::forward<As>(as)...))
+
+        template <typename Pmf, typename Ptr, typename... As>
+        inline constexpr auto invoke(Pmf pmf, Ptr &&ptr, As &&... as)
+            RETURN(((*lib::forward<Ptr>(ptr)).*pmf)(lib::forward<As>(as)...))
+
+        namespace detail {
+
+          template <typename Void, typename, typename...>
+          struct invoke_result {};
+
+          template <typename F, typename... Args>
+          struct invoke_result<void_t<decltype(lib::invoke(
+                                   std::declval<F>(), std::declval<Args>()...))>,
+                               F,
+                               Args...>
+              : identity<decltype(
+                    lib::invoke(std::declval<F>(), std::declval<Args>()...))> {};
+
+        }  // namespace detail
+
+        template <typename F, typename... Args>
+        using invoke_result = detail::invoke_result<void, F, Args...>;
+
+        template <typename F, typename... Args>
+        using invoke_result_t = typename invoke_result<F, Args...>::type;
+
+        namespace detail {
+
+          template <typename Void, typename, typename...>
+          struct is_invocable : std::false_type {};
+
+          template <typename F, typename... Args>
+          struct is_invocable<void_t<invoke_result_t<F, Args...>>, F, Args...>
+              : std::true_type {};
+
+          template <typename Void, typename, typename, typename...>
+          struct is_invocable_r : std::false_type {};
+
+          template <typename R, typename F, typename... Args>
+          struct is_invocable_r<void_t<invoke_result_t<F, Args...>>,
+                                R,
+                                F,
+                                Args...>
+              : std::is_convertible<invoke_result_t<F, Args...>, R> {};
+
+        }  // namespace detail
+
+        template <typename F, typename... Args>
+        using is_invocable = detail::is_invocable<void, F, Args...>;
+
+        template <typename R, typename F, typename... Args>
+        using is_invocable_r = detail::is_invocable_r<void, R, F, Args...>;
+
+        // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+        template <typename T>
+        inline constexpr T *addressof(T &arg) {
+          return __builtin_addressof(arg);
+        }
+#else
+        namespace detail {
+
+          namespace has_addressof_impl {
+
+            struct fail;
+
+            template <typename T>
+            inline fail operator&(T &&);
+
+            template <typename T>
+            inline static constexpr bool impl() {
+              return (std::is_class<T>::value || std::is_union<T>::value) &&
+                     !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+            }
+
+          }  // namespace has_addressof_impl
+
+          template <typename T>
+          using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+          template <typename T>
+          inline constexpr T *addressof(T &arg, std::true_type) {
+            return std::addressof(arg);
+          }
+
+          template <typename T>
+          inline constexpr T *addressof(T &arg, std::false_type) {
+            return &arg;
+          }
+
+        }  // namespace detail
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg) {
+          return detail::addressof(arg, detail::has_addressof<T>{});
+        }
+#endif
+
+        template <typename T>
+        inline constexpr T *addressof(const T &&) = delete;
+
+      }  // namespace cpp17
+
+      template <typename T>
+      struct remove_all_extents : identity<T> {};
+
+      template <typename T, std::size_t N>
+      struct remove_all_extents<array<T, N>> : remove_all_extents<T> {};
+
+      template <typename T>
+      using remove_all_extents_t = typename remove_all_extents<T>::type;
+
+      template <std::size_t N>
+      using size_constant = std::integral_constant<std::size_t, N>;
+
+      template <bool... Bs>
+      using bool_sequence = integer_sequence<bool, Bs...>;
+
+      template <std::size_t I, typename T>
+      struct indexed_type : size_constant<I>, identity<T> {};
+
+      template <bool... Bs>
+      using all =
+          std::is_same<bool_sequence<true, Bs...>, bool_sequence<Bs..., true>>;
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+      template <std::size_t I, typename... Ts>
+      using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+      template <std::size_t I, typename... Ts>
+      struct type_pack_element_impl {
+        private:
+        template <typename>
+        struct set;
+
+        template <std::size_t... Is>
+        struct set<index_sequence<Is...>> : indexed_type<Is, Ts>... {};
+
+        template <typename T>
+        inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+        inline static std::enable_if<false> impl(...);
+
+        public:
+        using type = decltype(impl(set<index_sequence_for<Ts...>>{}));
+      };
+
+      template <std::size_t I, typename... Ts>
+      using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+      template <std::size_t I, typename... Ts>
+      using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+    }  // namespace lib
+  }  // namespace variants
+}  // namespace mpark
+
+#undef RETURN
+
+#endif  // MPARK_VARIANTS_LIB_HPP
+
+
+namespace mpark {
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+
+#define AUTO auto
+#define AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto &&
+#define AUTO_REFREF_RETURN(...) { return __VA_ARGS__; }
+
+#define DECLTYPE_AUTO decltype(auto)
+#define DECLTYPE_AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#else
+
+#define AUTO auto
+#define AUTO_RETURN(...)                                    \
+  -> mpark::variants::lib::decay_t<decltype(__VA_ARGS__)> { \
+    return __VA_ARGS__;                                     \
+  }
+
+#define AUTO_REFREF auto
+#define AUTO_REFREF_RETURN(...)                                           \
+  -> decltype((__VA_ARGS__)) {                                            \
+    static_assert(std::is_reference<decltype((__VA_ARGS__))>::value, ""); \
+    return __VA_ARGS__;                                                   \
+  }
+
+#define DECLTYPE_AUTO auto
+#define DECLTYPE_AUTO_RETURN(...) \
+  -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+#endif
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept { return "bad_variant_access"; }
+  };
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+#endif
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>>
+      : variants::lib::size_constant<sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>>
+      : variants::lib::identity<variants::lib::type_pack_element_t<I, Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "`variant_alternative` index out of range.");
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    inline constexpr bool all() { return true; }
+
+    template <typename... Bs>
+    inline constexpr bool all(bool b, Bs... bs) {
+      return b && all(bs...);
+    }
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr variants::lib::array<bool, sizeof...(Ts)> matches = {
+          {std::is_same<T, Ts>::value...}
+      };
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t) {
+      return result;
+    }
+
+    template <typename... Bs>
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t idx,
+                                                 bool b,
+                                                 Bs... bs) {
+      return b ? (result != not_found ? ambiguous
+                                      : find_index_impl(idx, idx + 1, bs...))
+               : find_index_impl(result, idx + 1, bs...);
+    }
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      return find_index_impl(not_found, 0, std::is_same<T, Ts>::value...);
+    }
+#endif
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        variants::lib::enable_if_t<I != not_found && I != ambiguous,
+                                   variants::lib::size_constant<I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : variants::lib::size_constant<I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... traits) {
+      Trait result = Trait::TriviallyAvailable;
+      for (Trait t : {traits...}) {
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr Trait common_trait_impl(Trait result) { return result; }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait_impl(Trait result,
+                                             Trait t,
+                                             Traits... ts) {
+      return static_cast<int>(t) > static_cast<int>(result)
+                 ? common_trait_impl(t, ts...)
+                 : common_trait_impl(result, ts...);
+    }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... ts) {
+      return common_trait_impl(Trait::TriviallyAvailable, ts...);
+    }
+#endif
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_copy_constructible,
+                             std::is_copy_constructible>()...);
+
+      static constexpr Trait move_constructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_move_constructible,
+                             std::is_move_constructible>()...);
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait(copy_constructible_trait,
+                       move_constructible_trait,
+                       trait<Ts,
+                             std::is_trivially_copy_assignable,
+                             std::is_copy_assignable>()...);
+
+      static constexpr Trait move_assignable_trait =
+          common_trait(move_constructible_trait,
+                       trait<Ts,
+                             std::is_trivially_move_assignable,
+                             std::is_move_assignable>()...);
+
+      static constexpr Trait destructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_destructible,
+                             std::is_destructible>()...);
+    };
+
+    namespace access {
+
+      struct recursive_union {
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return variants::lib::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(variants::lib::forward<V>(v).tail_,
+                         in_place_index_t<I - 1>{});
+        }
+#else
+        template <std::size_t I, bool Dummy = true>
+        struct get_alt_impl {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(
+                get_alt_impl<I - 1>{}(variants::lib::forward<V>(v).tail_))
+        };
+
+        template <bool Dummy>
+        struct get_alt_impl<0, Dummy> {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(variants::lib::forward<V>(v).head_)
+        };
+
+        template <typename V, std::size_t I>
+        inline static constexpr AUTO_REFREF get_alt(V &&v,
+                                                    in_place_index_t<I>)
+          AUTO_REFREF_RETURN(get_alt_impl<I>{}(variants::lib::forward<V>(v)))
+#endif
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              variants::lib::forward<V>(v).data_, in_place_index_t<I>{}))
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(
+              base::get_alt<I>(variants::lib::forward<V>(v).impl_))
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+      struct base {
+        private:
+        template <typename T>
+        inline static constexpr const T &at(const T &elem) {
+          return elem;
+        }
+
+        template <typename T, std::size_t N, typename... Is>
+        inline static constexpr const variants::lib::remove_all_extents_t<T> &
+        at(const variants::lib::array<T, N> &elems, std::size_t i, Is... is) {
+          return at(elems[i], is...);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr int visit_visitor_return_type_check() {
+          static_assert(all(std::is_same<F, Fs>::value...),
+                        "`mpark::visit` requires the visitor to have a single "
+                        "return type.");
+          return 0;
+        }
+
+        template <typename... Fs>
+        inline static constexpr variants::lib::array<
+            variants::lib::common_type_t<variants::lib::decay_t<Fs>...>,
+            sizeof...(Fs)>
+        make_farray(Fs &&... fs) {
+          using result = variants::lib::array<
+              variants::lib::common_type_t<variants::lib::decay_t<Fs>...>,
+              sizeof...(Fs)>;
+          return visit_visitor_return_type_check<
+                     variants::lib::decay_t<Fs>...>(),
+                 result{{variants::lib::forward<Fs>(fs)...}};
+        }
+
+        template <std::size_t... Is>
+        struct dispatcher {
+          template <typename F, typename... Vs>
+          struct impl {
+            inline static constexpr DECLTYPE_AUTO dispatch(F f, Vs... vs)
+              DECLTYPE_AUTO_RETURN(variants::lib::invoke(
+                  static_cast<F>(f),
+                  access::base::get_alt<Is>(static_cast<Vs>(vs))...))
+          };
+        };
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_dispatch(
+            variants::lib::index_sequence<Is...>)
+          AUTO_RETURN(&dispatcher<Is...>::template impl<F, Vs...>::dispatch)
+
+        template <std::size_t I, typename F, typename... Vs>
+        inline static constexpr AUTO make_fdiagonal_impl()
+          AUTO_RETURN(make_dispatch<F, Vs...>(
+              variants::lib::index_sequence<
+                  variants::lib::indexed_type<I, Vs>::value...>{}))
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_fdiagonal_impl(
+            variants::lib::index_sequence<Is...>)
+          AUTO_RETURN(make_farray(make_fdiagonal_impl<Is, F, Vs...>()...))
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr /* auto * */ auto make_fdiagonal()
+            -> decltype(make_fdiagonal_impl<F, V, Vs...>(
+                variants::lib::make_index_sequence<
+                    variants::lib::decay_t<V>::size()>{})) {
+          static_assert(all((variants::lib::decay_t<V>::size() ==
+                             variants::lib::decay_t<Vs>::size())...),
+                        "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>(
+              variants::lib::make_index_sequence<
+                  variants::lib::decay_t<V>::size()>{});
+        }
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_fmatrix_impl(
+            variants::lib::index_sequence<Is...> is) {
+          return make_dispatch<F, Vs...>(is);
+        }
+
+        template <typename F,
+                  typename... Vs,
+                  std::size_t... Is,
+                  std::size_t... Js,
+                  typename... Ls>
+        inline static constexpr auto make_fmatrix_impl(
+            variants::lib::index_sequence<Is...>,
+            variants::lib::index_sequence<Js...>,
+            Ls... ls) {
+          return make_farray(make_fmatrix_impl<F, Vs...>(
+              variants::lib::index_sequence<Is..., Js>{}, ls...)...);
+        }
+
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>(
+              variants::lib::index_sequence<>{},
+              variants::lib::make_index_sequence<
+                  variants::lib::decay_t<Vs>::size()>{}...);
+        }
+#else
+        template <typename F, typename... Vs>
+        struct make_fmatrix_impl {
+          template <typename...>
+          struct impl;
+
+          template <std::size_t... Is>
+          struct impl<variants::lib::index_sequence<Is...>> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(make_dispatch<F, Vs...>(
+                  variants::lib::index_sequence<Is...>{}))
+          };
+
+          template <std::size_t... Is, std::size_t... Js, typename... Ls>
+          struct impl<variants::lib::index_sequence<Is...>,
+                      variants::lib::index_sequence<Js...>,
+                      Ls...> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(
+                  make_farray(impl<variants::lib::index_sequence<Is..., Js>,
+                                   Ls...>{}()...))
+          };
+        };
+
+        template <typename F, typename... Vs>
+        inline static constexpr AUTO make_fmatrix()
+          AUTO_RETURN(typename make_fmatrix_impl<F, Vs...>::template impl<
+                      variants::lib::index_sequence<>,
+                      variants::lib::make_index_sequence<
+                          variants::lib::decay_t<Vs>::size()>...>{}())
+#endif
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(at(
+              make_fdiagonal<Visitor &&,
+                             decltype(
+                                 as_base(variants::lib::forward<Vs>(vs)))...>(),
+              index)(variants::lib::forward<Visitor>(visitor),
+                     as_base(variants::lib::forward<Vs>(vs))...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(at(
+              make_fmatrix<Visitor &&,
+                           decltype(
+                               as_base(variants::lib::forward<Vs>(vs)))...>(),
+              vs.index()...)(variants::lib::forward<Visitor>(visitor),
+                             as_base(variants::lib::forward<Vs>(vs))...))
+      };
+
+      struct variant {
+        private:
+        template <typename Visitor, typename... Values>
+        struct visit_exhaustive_visitor_check {
+          static_assert(
+              variants::lib::is_invocable<Visitor, Values...>::value,
+              "`mpark::visit` requires the visitor to be exhaustive.");
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+          inline constexpr DECLTYPE_AUTO operator()(Visitor &&visitor,
+                                                    Values &&... values) const
+            DECLTYPE_AUTO_RETURN(variants::lib::invoke(
+                variants::lib::forward<Visitor>(visitor),
+                variants::lib::forward<Values>(values)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        };
+
+        template <typename Visitor>
+        struct value_visitor {
+          Visitor &&visitor_;
+
+          template <typename... Alts>
+          inline constexpr DECLTYPE_AUTO operator()(Alts &&... alts) const
+            DECLTYPE_AUTO_RETURN(
+                visit_exhaustive_visitor_check<
+                    Visitor,
+                    decltype((variants::lib::forward<Alts>(alts).value))...>{}(
+                    variants::lib::forward<Visitor>(visitor_),
+                    variants::lib::forward<Alts>(alts).value...))
+        };
+
+        template <typename Visitor>
+        inline static constexpr AUTO make_value_visitor(Visitor &&visitor)
+          AUTO_RETURN(
+              value_visitor<Visitor>{variants::lib::forward<Visitor>(visitor)})
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              base::visit_alt_at(index,
+                                 variants::lib::forward<Visitor>(visitor),
+                                 variants::lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              base::visit_alt(variants::lib::forward<Visitor>(visitor),
+                              variants::lib::forward<Vs>(vs).impl_...));
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value_at(std::size_t index,
+                                                             Visitor &&visitor,
+                                                             Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(visit_alt_at(
+              index,
+              make_value_visitor(variants::lib::forward<Visitor>(visitor)),
+              variants::lib::forward<Vs>(vs)...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value(Visitor &&visitor,
+                                                          Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(visit_alt(
+              make_value_visitor(variants::lib::forward<Visitor>(visitor)),
+              variants::lib::forward<Vs>(vs)...))
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value(variants::lib::forward<Args>(args)...) {}
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      T value;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)   \
+  template <std::size_t Index, typename T, typename... Ts>              \
+  union recursive_union<destructible_trait, Index, T, Ts...> {          \
+    public:                                                             \
+    inline explicit constexpr recursive_union(valueless_t) noexcept     \
+        : dummy_{} {}                                                   \
+                                                                        \
+    template <typename... Args>                                         \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,      \
+                                              Args &&... args)          \
+        : head_(in_place_t{}, variants::lib::forward<Args>(args)...) {} \
+                                                                        \
+    template <std::size_t I, typename... Args>                          \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,      \
+                                              Args &&... args)          \
+        : tail_(in_place_index_t<I - 1>{},                              \
+                variants::lib::forward<Args>(args)...) {}               \
+                                                                        \
+    recursive_union(const recursive_union &) = default;                 \
+    recursive_union(recursive_union &&) = default;                      \
+                                                                        \
+    destructor                                                          \
+                                                                        \
+    recursive_union &operator=(const recursive_union &) = default;      \
+    recursive_union &operator=(recursive_union &&) = default;           \
+                                                                        \
+    private:                                                            \
+    char dummy_;                                                        \
+    alt<Index, T> head_;                                                \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;        \
+                                                                        \
+    friend struct access::recursive_union;                              \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef MPARK_VARIANT_RECURSIVE_UNION
+
+    using index_t = unsigned int;
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(static_cast<index_t>(-1)) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index_t<I>{}, variants::lib::forward<Args>(args)...),
+            index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index_ == static_cast<index_t>(-1);
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return valueless_by_exception() ? variant_npos : index_;
+      }
+
+      protected:
+      friend inline constexpr base &as_base(base &b) { return b; }
+      friend inline constexpr const base &as_base(const base &b) { return b; }
+      friend inline constexpr base &&as_base(base &&b) {
+        return variants::lib::move(b);
+      }
+      friend inline constexpr const base &&as_base(const base &&b) {
+        return variants::lib::move(b);
+      }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      recursive_union<DestructibleTrait, 0, Ts...> data_;
+      index_t index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    struct dtor {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename Alt>
+      inline void operator()(Alt &alt) const noexcept { alt.~Alt(); }
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+    };
+
+#if defined(_MSC_VER) && _MSC_VER < 1910
+#define INHERITING_CTOR(type, base)               \
+  template <typename... Args>                     \
+  inline explicit constexpr type(Args &&... args) \
+      : base(variants::lib::forward<Args>(args)...) {}
+#else
+#define INHERITING_CTOR(type, base) using base::base;
+#endif
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    INHERITING_CTOR(destructor, super)                                    \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    destroy                                                               \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::TriviallyAvailable,
+        ~destructor() = default;,
+        inline void destroy() noexcept {
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Available,
+        ~destructor() { destroy(); },
+        inline void destroy() noexcept {
+          if (!this->valueless_by_exception()) {
+            visitation::base::visit_alt(dtor{}, *this);
+          }
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Unavailable,
+        ~destructor() = delete;,
+        inline void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      INHERITING_CTOR(constructor, super)
+      using super::operator=;
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct ctor {
+        template <typename LhsAlt, typename RhsAlt>
+        inline void operator()(LhsAlt &lhs_alt, RhsAlt &&rhs_alt) const {
+          constructor::construct_alt(
+              lhs_alt, variants::lib::forward<RhsAlt>(rhs_alt).value);
+        }
+      };
+#endif
+
+      template <std::size_t I, typename T, typename... Args>
+      inline static T &construct_alt(alt<I, T> &a, Args &&... args) {
+        ::new (static_cast<void *>(variants::lib::addressof(a)))
+            alt<I, T>(in_place_t{}, variants::lib::forward<Args>(args)...);
+        return a.value;
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::base::visit_alt_at(
+              rhs.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt,
+                    variants::lib::forward<decltype(rhs_alt)>(rhs_alt).value);
+              }
+#else
+              ctor{}
+#endif
+              ,
+              lhs,
+              variants::lib::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index_;
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(move_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            all(std::is_nothrow_move_constructible<Ts>::value...))
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, variants::lib::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(copy_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      INHERITING_CTOR(assignment, super)
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline /* auto & */ auto emplace(Args &&... args) -> decltype(
+          this->construct_alt(access::base::get_alt<I>(*this),
+                              variants::lib::forward<Args>(args)...)) {
+        this->destroy();
+        auto &result =
+            this->construct_alt(access::base::get_alt<I>(*this),
+                                variants::lib::forward<Args>(args)...);
+        this->index_ = I;
+        return result;
+      }
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      template <typename That>
+      struct assigner {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &&that_alt) const {
+          self->assign_alt(this_alt,
+                           variants::lib::forward<ThatAlt>(that_alt).value,
+                           std::is_lvalue_reference<That>{});
+        }
+        assignment *self;
+      };
+#endif
+
+      template <bool CopyAssign, std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a,
+                             Arg &&arg,
+                             variants::lib::bool_constant<CopyAssign> tag) {
+        if (this->index() == I) {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+          a.value = variants::lib::forward<Arg>(arg);
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(T(variants::lib::forward<Arg>(arg_)));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(variants::lib::forward<Arg>(arg_));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, variants::lib::forward<Arg>(arg)};
+          impl(tag);
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::base::visit_alt_at(
+              that.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt,
+                    variants::lib::forward<decltype(that_alt)>(that_alt).value,
+                    std::is_lvalue_reference<That>{});
+              }
+#else
+              assigner<That>{this}
+#endif
+              ,
+              *this,
+              variants::lib::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(move_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            all((std::is_nothrow_move_constructible<Ts>::value &&
+                 std::is_nothrow_move_assignable<Ts>::value)...)) {
+          this->generic_assign(variants::lib::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(copy_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      INHERITING_CTOR(impl, super)
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         variants::lib::forward<Arg>(arg),
+                         std::false_type{});
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::base::visit_alt_at(this->index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+                                         [](auto &this_alt, auto &that_alt) {
+                                           using std::swap;
+                                           swap(this_alt.value,
+                                                that_alt.value);
+                                         }
+#else
+                                         swapper{}
+#endif
+                                         ,
+                                         *this,
+                                         that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = variants::lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(variants::lib::move(*rhs));
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarentee.
+          try {
+            this->generic_construct(*rhs, variants::lib::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, variants::lib::move(tmp));
+            }
+            throw;
+          }
+          this->generic_construct(*lhs, variants::lib::move(tmp));
+        }
+      }
+
+      private:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct swapper {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &that_alt) const {
+          using std::swap;
+          swap(this_alt.value, that_alt.value);
+        }
+      };
+#endif
+
+      inline constexpr bool move_nothrow() const {
+        return this->valueless_by_exception() ||
+               variants::lib::array<bool, sizeof...(Ts)>{
+                   {std::is_nothrow_move_constructible<Ts>::value...}
+               }[this->index()];
+      }
+    };
+
+    template <typename... Ts>
+    struct overload;
+
+    template <>
+    struct overload<> { void operator()() const {} };
+
+    template <typename T, typename... Ts>
+    struct overload<T, Ts...> : overload<Ts...> {
+      using overload<Ts...>::operator();
+      variants::lib::identity<T> operator()(T) const { return {}; }
+    };
+
+    template <typename T, typename... Ts>
+    using best_match_t =
+        typename variants::lib::invoke_result_t<overload<Ts...>, T &&>::type;
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(variants::lib::all<!std::is_array<Ts>::value...>::value,
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(variants::lib::all<!std::is_reference<Ts>::value...>::value,
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(variants::lib::all<!std::is_void<Ts>::value...>::value,
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = variants::lib::type_pack_element_t<0, Ts...>,
+        variants::lib::enable_if_t<std::is_default_constructible<Front>::value,
+                                   int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index_t<0>{}) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <typename Arg,
+              variants::lib::enable_if_t<
+                  !std::is_same<variants::lib::decay_t<Arg>, variant>::value,
+                  int> = 0,
+              typename T = detail::best_match_t<Arg, Ts...>,
+              std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+              variants::lib::enable_if_t<std::is_constructible<T, Arg>::value,
+                                         int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index_t<I>{}, variants::lib::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = variants::lib::type_pack_element_t<I, Ts...>,
+        variants::lib::enable_if_t<std::is_constructible<T, Args...>::value,
+                                   int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, variants::lib::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = variants::lib::type_pack_element_t<I, Ts...>,
+        variants::lib::enable_if_t<
+            std::is_constructible<T, std::initializer_list<Up> &, Args...>::
+                value,
+            int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{},
+                il,
+                variants::lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        variants::lib::enable_if_t<std::is_constructible<T, Args...>::value,
+                                   int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, variants::lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        variants::lib::enable_if_t<
+            std::is_constructible<T, std::initializer_list<Up> &, Args...>::
+                value,
+            int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{},
+                il,
+                variants::lib::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              variants::lib::enable_if_t<
+                  !std::is_same<variants::lib::decay_t<Arg>, variant>::value,
+                  int> = 0,
+              typename T = detail::best_match_t<Arg, Ts...>,
+              std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+              variants::lib::enable_if_t<(std::is_assignable<T &, Arg>::value &&
+                                          std::is_constructible<T, Arg>::value),
+                                         int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(variants::lib::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = variants::lib::type_pack_element_t<I, Ts...>,
+        variants::lib::enable_if_t<std::is_constructible<T, Args...>::value,
+                                   int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(variants::lib::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = variants::lib::type_pack_element_t<I, Ts...>,
+        variants::lib::enable_if_t<
+            std::is_constructible<T, std::initializer_list<Up> &, Args...>::
+                value,
+            int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il,
+                                       variants::lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        variants::lib::enable_if_t<std::is_constructible<T, Args...>::value,
+                                   int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(variants::lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        variants::lib::enable_if_t<
+            std::is_constructible<T, std::initializer_list<Up> &, Args...>::
+                value,
+            int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il,
+                                       variants::lib::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <bool Dummy = true,
+              variants::lib::enable_if_t<
+                  variants::lib::all<
+                      Dummy,
+                      (std::is_move_constructible<Ts>::value &&
+                       variants::lib::is_swappable<Ts>::value)...>::value,
+                  int> = 0>
+    inline void swap(variant &that) noexcept(
+        variants::lib::all<
+            (std::is_nothrow_move_constructible<Ts>::value &&
+             variants::lib::is_nothrow_swappable<Ts>::value)...>::value) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <std::size_t I, typename V>
+    struct generic_get_impl {
+      constexpr generic_get_impl(int) {}
+
+      constexpr AUTO_REFREF operator()(V &&v) const
+        AUTO_REFREF_RETURN(
+            access::variant::get_alt<I>(variants::lib::forward<V>(v)).value)
+    };
+
+    template <std::size_t I, typename V>
+    inline constexpr AUTO_REFREF generic_get(V &&v)
+      AUTO_REFREF_RETURN(generic_get_impl<I, V>(
+          holds_alternative<I>(v) ? 0 : throw bad_variant_access{})(
+          variants::lib::forward<V>(v)))
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(variants::lib::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(variants::lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(
+        variants::lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(
+        variants::lib::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr /* auto * */ AUTO generic_get_if(V *v) noexcept
+      AUTO_RETURN(
+          v && holds_alternative<I>(*v)
+              ? variants::lib::addressof(access::variant::get_alt<I>(*v).value)
+              : nullptr)
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variants::lib::add_pointer_t<
+      variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variants::lib::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr variants::lib::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr variants::lib::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using variants::lib::equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs);
+#else
+    return lhs.index() == rhs.index() &&
+           (lhs.valueless_by_exception() ||
+            variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using variants::lib::not_equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs);
+#else
+    return lhs.index() != rhs.index() ||
+           (!lhs.valueless_by_exception() &&
+            variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using variants::lib::less;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less{}, lhs, rhs);
+#else
+    return !rhs.valueless_by_exception() &&
+           (lhs.valueless_by_exception() || lhs.index() < rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), less{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using variants::lib::greater;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater{}, lhs, rhs);
+#else
+    return !lhs.valueless_by_exception() &&
+           (rhs.valueless_by_exception() || lhs.index() > rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), greater{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using variants::lib::less_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs);
+#else
+    return lhs.valueless_by_exception() ||
+           (!rhs.valueless_by_exception() &&
+            (lhs.index() < rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using variants::lib::greater_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater_equal{}, lhs, rhs);
+#else
+    return rhs.valueless_by_exception() ||
+           (!lhs.valueless_by_exception() &&
+            (lhs.index() > rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(
+                  lhs.index(), greater_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr DECLTYPE_AUTO visit(Visitor &&visitor, Vs &&... vs)
+    DECLTYPE_AUTO_RETURN((detail::all(!vs.valueless_by_exception()...)
+                              ? (void)0
+                              : throw bad_variant_access{}),
+                         detail::visitation::variant::visit_value(
+                             variants::lib::forward<Visitor>(visitor),
+                             variants::lib::forward<Vs>(vs)...))
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+  namespace detail {
+
+    template <typename T, typename...>
+    using enabled_type = T;
+
+    namespace hash {
+
+      template <typename H, typename K>
+      constexpr bool meets_requirements() {
+        return std::is_copy_constructible<H>::value &&
+               std::is_move_constructible<H>::value &&
+               variants::lib::is_invocable_r<std::size_t, H, const K &>::value;
+      }
+
+      template <typename K>
+      constexpr bool is_enabled() {
+        using H = std::hash<K>;
+        return meets_requirements<H, K>() &&
+               std::is_default_constructible<H>::value &&
+               std::is_copy_assignable<H>::value &&
+               std::is_move_assignable<H>::value;
+      }
+
+    }  // namespace hash
+
+  }  // namespace detail
+
+#undef AUTO
+#undef AUTO_RETURN
+
+#undef AUTO_REFREF
+#undef AUTO_REFREF_RETURN
+
+#undef DECLTYPE_AUTO
+#undef DECLTYPE_AUTO_RETURN
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::detail::enabled_type<
+      mpark::variant<Ts...>,
+      mpark::variants::lib::enable_if_t<
+          mpark::variants::lib::all<mpark::detail::hash::is_enabled<
+              mpark::variants::lib::remove_const_t<Ts>>()...>::value>>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+#ifdef MPARK_GENERIC_LAMBDAS
+                    [](const auto &alt) {
+                      using alt_type =
+                          mpark::variants::lib::decay_t<decltype(alt)>;
+                      using value_type = mpark::variants::lib::remove_const_t<
+                          typename alt_type::value_type>;
+                      return hash<value_type>{}(alt.value);
+                    }
+#else
+                    hasher{}
+#endif
+                    ,
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+#ifndef MPARK_GENERIC_LAMBDAS
+    struct hasher {
+      template <typename Alt>
+      inline std::size_t operator()(const Alt &alt) const {
+        using alt_type = mpark::variants::lib::decay_t<Alt>;
+        using value_type =
+            mpark::variants::lib::remove_const_t<typename alt_type::value_type>;
+        return hash<value_type>{}(alt.value);
+      }
+    };
+#endif
+
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const noexcept {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/mpark-variant/v1.2.0/variant.hpp

@@ -0,0 +1,2365 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    T& emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    T& emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    variant_alternative<I, variant>& emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    variant_alternative<I, variant>& emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_CONFIG_HPP
+#define MPARK_CONFIG_HPP
+
+// MSVC 2015 Update 3.
+#if __cplusplus < 201103L && (!defined(_MSC_VER) || _MSC_FULL_VER < 190024215)
+#error "MPark.Variant requires C++11 support."
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#ifndef __has_feature
+#define __has_feature(x) 0
+#endif
+
+#if __has_builtin(__builtin_addressof) || \
+    (defined(__GNUC__) && __GNUC__ >= 7) || defined(_MSC_VER)
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 201304
+#define MPARK_CPP14_CONSTEXPR
+#endif
+
+#if __has_feature(cxx_exceptions) || defined(__cpp_exceptions)
+#define MPARK_EXCEPTIONS
+#endif
+
+#if defined(__cpp_generic_lambdas) || defined(_MSC_VER)
+#define MPARK_GENERIC_LAMBDAS
+#endif
+
+#if defined(__cpp_lib_integer_sequence)
+#define MPARK_INTEGER_SEQUENCE
+#endif
+
+#if defined(__cpp_return_type_deduction) || defined(_MSC_VER)
+#define MPARK_RETURN_TYPE_DEDUCTION
+#endif
+
+#if defined(__cpp_lib_transparent_operators) || defined(_MSC_VER)
+#define MPARK_TRANSPARENT_OPERATORS
+#endif
+
+#if defined(__cpp_variable_templates) || defined(_MSC_VER)
+#define MPARK_VARIABLE_TEMPLATES
+#endif
+
+#if !defined(__GLIBCXX__)
+#define MPARK_TRIVIALITY_TYPE_TRAITS
+#elif defined(__has_include) && __has_include(<codecvt>)  // >= libstdc++-5
+#define MPARK_TRIVIALITY_TYPE_TRAITS
+#endif
+
+#endif  // MPARK_CONFIG_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+
+namespace mpark {
+
+  struct in_place_t { explicit in_place_t() = default; };
+
+  template <std::size_t I>
+  struct in_place_index_t { explicit in_place_index_t() = default; };
+
+  template <typename T>
+  struct in_place_type_t { explicit in_place_type_t() = default; };
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I> constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T> constexpr in_place_type_t<T> in_place_type{};
+#endif
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_LIB_HPP
+#define MPARK_LIB_HPP
+
+#include <memory>
+#include <functional>
+#include <type_traits>
+#include <utility>
+
+
+#define RETURN(...)                                          \
+  noexcept(noexcept(__VA_ARGS__)) -> decltype(__VA_ARGS__) { \
+    return __VA_ARGS__;                                      \
+  }
+
+namespace mpark {
+  namespace lib {
+    template <typename T>
+    struct identity { using type = T; };
+
+    inline namespace cpp14 {
+      template <typename T, std::size_t N>
+      struct array {
+        constexpr const T &operator[](std::size_t index) const {
+          return data[index];
+        }
+
+        T data[N == 0 ? 1 : N];
+      };
+
+      template <typename T>
+      using add_pointer_t = typename std::add_pointer<T>::type;
+
+      template <typename... Ts>
+      using common_type_t = typename std::common_type<Ts...>::type;
+
+      template <typename T>
+      using decay_t = typename std::decay<T>::type;
+
+      template <bool B, typename T = void>
+      using enable_if_t = typename std::enable_if<B, T>::type;
+
+      template <typename T>
+      using remove_const_t = typename std::remove_const<T>::type;
+
+      template <typename T>
+      using remove_reference_t = typename std::remove_reference<T>::type;
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &t) noexcept {
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &&t) noexcept {
+        static_assert(!std::is_lvalue_reference<T>::value,
+                      "can not forward an rvalue as an lvalue");
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr remove_reference_t<T> &&move(T &&t) noexcept {
+        return static_cast<remove_reference_t<T> &&>(t);
+      }
+
+#ifdef MPARK_INTEGER_SEQUENCE
+      template <typename T, T... Is>
+      using integer_sequence = std::integer_sequence<T, Is...>;
+
+      template <std::size_t... Is>
+      using index_sequence = std::index_sequence<Is...>;
+
+      template <std::size_t N>
+      using make_index_sequence = std::make_index_sequence<N>;
+
+      template <typename... Ts>
+      using index_sequence_for = std::index_sequence_for<Ts...>;
+#else
+      template <typename T, T... Is>
+      struct integer_sequence {
+        using value_type = T;
+        static constexpr std::size_t size() noexcept { return sizeof...(Is); }
+      };
+
+      template <std::size_t... Is>
+      using index_sequence = integer_sequence<std::size_t, Is...>;
+
+      template <typename Lhs, typename Rhs>
+      struct make_index_sequence_concat;
+
+      template <std::size_t... Lhs, std::size_t... Rhs>
+      struct make_index_sequence_concat<index_sequence<Lhs...>,
+                                        index_sequence<Rhs...>>
+          : identity<index_sequence<Lhs..., (sizeof...(Lhs) + Rhs)...>> {};
+
+      template <std::size_t N>
+      struct make_index_sequence_impl;
+
+      template <std::size_t N>
+      using make_index_sequence = typename make_index_sequence_impl<N>::type;
+
+      template <std::size_t N>
+      struct make_index_sequence_impl
+          : make_index_sequence_concat<make_index_sequence<N / 2>,
+                                       make_index_sequence<N - (N / 2)>> {};
+
+      template <>
+      struct make_index_sequence_impl<0> : identity<index_sequence<>> {};
+
+      template <>
+      struct make_index_sequence_impl<1> : identity<index_sequence<0>> {};
+
+      template <typename... Ts>
+      using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
+#endif
+
+      // <functional>
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using equal_to = std::equal_to<>;
+#else
+      struct equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) == lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using not_equal_to = std::not_equal_to<>;
+#else
+      struct not_equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) != lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less = std::less<>;
+#else
+      struct less {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) < lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater = std::greater<>;
+#else
+      struct greater {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) > lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less_equal = std::less_equal<>;
+#else
+      struct less_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) <= lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater_equal = std::greater_equal<>;
+#else
+      struct greater_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) >= lib::forward<Rhs>(rhs))
+      };
+#endif
+    }  // namespace cpp14
+
+    inline namespace cpp17 {
+
+      // <type_traits>
+      template <bool B>
+      using bool_constant = std::integral_constant<bool, B>;
+
+      template <typename...>
+      struct voider : identity<void> {};
+
+      template <typename... Ts>
+      using void_t = typename voider<Ts...>::type;
+
+      namespace detail {
+        namespace swappable {
+
+          using std::swap;
+
+          template <typename T>
+          struct is_swappable_impl {
+            private:
+            template <typename U,
+                      typename = decltype(swap(std::declval<U &>(),
+                                               std::declval<U &>()))>
+            inline static std::true_type test(int);
+
+            template <typename U>
+            inline static std::false_type test(...);
+
+            public:
+            using type = decltype(test<T>(0));
+          };
+
+          template <typename T>
+          using is_swappable = typename is_swappable_impl<T>::type;
+
+          template <typename T, bool = is_swappable<T>::value>
+          struct is_nothrow_swappable {
+            static constexpr bool value =
+                noexcept(swap(std::declval<T &>(), std::declval<T &>()));
+          };
+
+          template <typename T>
+          struct is_nothrow_swappable<T, false> : std::false_type {};
+
+        }  // namespace swappable
+      }  // namespace detail
+
+      template <typename T>
+      using is_swappable = detail::swappable::is_swappable<T>;
+
+      template <typename T>
+      using is_nothrow_swappable = detail::swappable::is_nothrow_swappable<T>;
+
+      // <functional>
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename F, typename... As>
+      inline constexpr auto invoke(F &&f, As &&... as)
+          RETURN(lib::forward<F>(f)(lib::forward<As>(as)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      template <typename B, typename T, typename D>
+      inline constexpr auto invoke(T B::*pmv, D &&d)
+          RETURN(lib::forward<D>(d).*pmv)
+
+      template <typename Pmv, typename Ptr>
+      inline constexpr auto invoke(Pmv pmv, Ptr &&ptr)
+          RETURN((*lib::forward<Ptr>(ptr)).*pmv)
+
+      template <typename B, typename T, typename D, typename... As>
+      inline constexpr auto invoke(T B::*pmf, D &&d, As &&... as)
+          RETURN((lib::forward<D>(d).*pmf)(lib::forward<As>(as)...))
+
+      template <typename Pmf, typename Ptr, typename... As>
+      inline constexpr auto invoke(Pmf pmf, Ptr &&ptr, As &&... as)
+          RETURN(((*lib::forward<Ptr>(ptr)).*pmf)(lib::forward<As>(as)...))
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct invoke_result {};
+
+        template <typename F, typename... Args>
+        struct invoke_result<void_t<decltype(lib::invoke(
+                                 std::declval<F>(), std::declval<Args>()...))>,
+                             F,
+                             Args...>
+            : identity<decltype(
+                  lib::invoke(std::declval<F>(), std::declval<Args>()...))> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using invoke_result = detail::invoke_result<void, F, Args...>;
+
+      template <typename F, typename... Args>
+      using invoke_result_t = typename invoke_result<F, Args...>::type;
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct is_invocable : std::false_type {};
+
+        template <typename F, typename... Args>
+        struct is_invocable<void_t<invoke_result_t<F, Args...>>, F, Args...>
+            : std::true_type {};
+
+        template <typename Void, typename, typename, typename...>
+        struct is_invocable_r : std::false_type {};
+
+        template <typename R, typename F, typename... Args>
+        struct is_invocable_r<void_t<invoke_result_t<F, Args...>>,
+                              R,
+                              F,
+                              Args...>
+            : std::is_convertible<invoke_result_t<F, Args...>, R> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using is_invocable = detail::is_invocable<void, F, Args...>;
+
+      template <typename R, typename F, typename... Args>
+      using is_invocable_r = detail::is_invocable_r<void, R, F, Args...>;
+
+      // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return __builtin_addressof(arg);
+      }
+#else
+      namespace detail {
+
+        namespace has_addressof_impl {
+
+          struct fail;
+
+          template <typename T>
+          inline fail operator&(T &&);
+
+          template <typename T>
+          inline static constexpr bool impl() {
+            return (std::is_class<T>::value || std::is_union<T>::value) &&
+                   !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+          }
+
+        }  // namespace has_addressof_impl
+
+        template <typename T>
+        using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::true_type) {
+          return std::addressof(arg);
+        }
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::false_type) {
+          return &arg;
+        }
+
+      }  // namespace detail
+
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return detail::addressof(arg, detail::has_addressof<T>{});
+      }
+#endif
+
+      template <typename T>
+      inline constexpr T *addressof(const T &&) = delete;
+
+    }  // namespace cpp17
+
+    template <typename T>
+    struct remove_all_extents : identity<T> {};
+
+    template <typename T, std::size_t N>
+    struct remove_all_extents<array<T, N>> : remove_all_extents<T> {};
+
+    template <typename T>
+    using remove_all_extents_t = typename remove_all_extents<T>::type;
+
+    template <std::size_t N>
+    using size_constant = std::integral_constant<std::size_t, N>;
+
+    template <bool... Bs>
+    using bool_sequence = integer_sequence<bool, Bs...>;
+
+    template <std::size_t I, typename T>
+    struct indexed_type : size_constant<I>, identity<T> {};
+
+    template <bool... Bs>
+    using all =
+        std::is_same<bool_sequence<true, Bs...>, bool_sequence<Bs..., true>>;
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+    template <std::size_t I, typename... Ts>
+    struct type_pack_element_impl {
+      private:
+      template <typename>
+      struct set;
+
+      template <std::size_t... Is>
+      struct set<index_sequence<Is...>> : indexed_type<Is, Ts>... {};
+
+      template <typename T>
+      inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+      inline static std::enable_if<false> impl(...);
+
+      public:
+      using type = decltype(impl(set<index_sequence_for<Ts...>>{}));
+    };
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+#ifdef MPARK_TRIVIALITY_TYPE_TRAITS
+    template <typename T>
+    using is_trivially_copy_constructible =
+        std::is_trivially_copy_constructible<T>;
+
+    template <typename T>
+    using is_trivially_move_constructible =
+        std::is_trivially_move_constructible<T>;
+
+    template <typename T>
+    using is_trivially_copy_assignable = std::is_trivially_copy_assignable<T>;
+
+    template <typename T>
+    using is_trivially_move_assignable = std::is_trivially_move_assignable<T>;
+#else
+    template <typename T>
+    struct is_trivially_copy_constructible
+        : bool_constant<
+              std::is_copy_constructible<T>::value && __has_trivial_copy(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_constructible : bool_constant<__is_trivial(T)> {};
+
+    template <typename T>
+    struct is_trivially_copy_assignable
+        : bool_constant<
+              std::is_copy_assignable<T>::value && __has_trivial_assign(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_assignable : bool_constant<__is_trivial(T)> {};
+#endif
+
+  }  // namespace lib
+}  // namespace mpark
+
+#undef RETURN
+
+#endif  // MPARK_LIB_HPP
+
+
+namespace mpark {
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+
+#define AUTO auto
+#define AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto &&
+#define AUTO_REFREF_RETURN(...) { return __VA_ARGS__; }
+
+#define DECLTYPE_AUTO decltype(auto)
+#define DECLTYPE_AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#else
+
+#define AUTO auto
+#define AUTO_RETURN(...) \
+  -> lib::decay_t<decltype(__VA_ARGS__)> { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto
+#define AUTO_REFREF_RETURN(...)                                           \
+  -> decltype((__VA_ARGS__)) {                                            \
+    static_assert(std::is_reference<decltype((__VA_ARGS__))>::value, ""); \
+    return __VA_ARGS__;                                                   \
+  }
+
+#define DECLTYPE_AUTO auto
+#define DECLTYPE_AUTO_RETURN(...) \
+  -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+#endif
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept { return "bad_variant_access"; }
+  };
+
+  [[noreturn]] inline void throw_bad_variant_access() {
+#ifdef MPARK_EXCEPTIONS
+    throw bad_variant_access{};
+#else
+    std::terminate();
+#endif
+  }
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+#endif
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>> : lib::size_constant<sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>>
+      : lib::identity<lib::type_pack_element_t<I, Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "`variant_alternative` index out of range.");
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    inline constexpr bool all() { return true; }
+
+    template <typename... Bs>
+    inline constexpr bool all(bool b, Bs... bs) {
+      return b && all(bs...);
+    }
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr lib::array<bool, sizeof...(Ts)> matches = {
+          {std::is_same<T, Ts>::value...}
+      };
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t) {
+      return result;
+    }
+
+    template <typename... Bs>
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t idx,
+                                                 bool b,
+                                                 Bs... bs) {
+      return b ? (result != not_found ? ambiguous
+                                      : find_index_impl(idx, idx + 1, bs...))
+               : find_index_impl(result, idx + 1, bs...);
+    }
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      return find_index_impl(not_found, 0, std::is_same<T, Ts>::value...);
+    }
+#endif
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        lib::enable_if_t<I != not_found && I != ambiguous,
+                         lib::size_constant<I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : lib::size_constant<I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... traits) {
+      Trait result = Trait::TriviallyAvailable;
+      for (Trait t : {traits...}) {
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr Trait common_trait_impl(Trait result) { return result; }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait_impl(Trait result,
+                                             Trait t,
+                                             Traits... ts) {
+      return static_cast<int>(t) > static_cast<int>(result)
+                 ? common_trait_impl(t, ts...)
+                 : common_trait_impl(result, ts...);
+    }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... ts) {
+      return common_trait_impl(Trait::TriviallyAvailable, ts...);
+    }
+#endif
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_copy_constructible,
+                             std::is_copy_constructible>()...);
+
+      static constexpr Trait move_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_move_constructible,
+                             std::is_move_constructible>()...);
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait(copy_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_copy_assignable,
+                             std::is_copy_assignable>()...);
+
+      static constexpr Trait move_assignable_trait =
+          common_trait(move_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_move_assignable,
+                             std::is_move_assignable>()...);
+
+      static constexpr Trait destructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_destructible,
+                             std::is_destructible>()...);
+    };
+
+    namespace access {
+
+      struct recursive_union {
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return lib::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(lib::forward<V>(v).tail_, in_place_index_t<I - 1>{});
+        }
+#else
+        template <std::size_t I, bool Dummy = true>
+        struct get_alt_impl {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(get_alt_impl<I - 1>{}(lib::forward<V>(v).tail_))
+        };
+
+        template <bool Dummy>
+        struct get_alt_impl<0, Dummy> {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(lib::forward<V>(v).head_)
+        };
+
+        template <typename V, std::size_t I>
+        inline static constexpr AUTO_REFREF get_alt(V &&v, in_place_index_t<I>)
+          AUTO_REFREF_RETURN(get_alt_impl<I>{}(lib::forward<V>(v)))
+#endif
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              data(lib::forward<V>(v)), in_place_index_t<I>{}))
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(base::get_alt<I>(lib::forward<V>(v).impl_))
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+      struct base {
+        private:
+        template <typename T>
+        inline static constexpr const T &at(const T &elem) {
+          return elem;
+        }
+
+        template <typename T, std::size_t N, typename... Is>
+        inline static constexpr const lib::remove_all_extents_t<T> &at(
+            const lib::array<T, N> &elems, std::size_t i, Is... is) {
+          return at(elems[i], is...);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr int visit_visitor_return_type_check() {
+          static_assert(all(std::is_same<F, Fs>::value...),
+                        "`mpark::visit` requires the visitor to have a single "
+                        "return type.");
+          return 0;
+        }
+
+        template <typename... Fs>
+        inline static constexpr lib::array<
+            lib::common_type_t<lib::decay_t<Fs>...>,
+            sizeof...(Fs)>
+        make_farray(Fs &&... fs) {
+          using result = lib::array<lib::common_type_t<lib::decay_t<Fs>...>,
+                                    sizeof...(Fs)>;
+          return visit_visitor_return_type_check<lib::decay_t<Fs>...>(),
+                 result{{lib::forward<Fs>(fs)...}};
+        }
+
+        template <std::size_t... Is>
+        struct dispatcher {
+          template <typename F, typename... Vs>
+          struct impl {
+            inline static constexpr DECLTYPE_AUTO dispatch(F f, Vs... vs)
+              DECLTYPE_AUTO_RETURN(lib::invoke(
+                  static_cast<F>(f),
+                  access::base::get_alt<Is>(static_cast<Vs>(vs))...))
+          };
+        };
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_dispatch(lib::index_sequence<Is...>)
+          AUTO_RETURN(&dispatcher<Is...>::template impl<F, Vs...>::dispatch)
+
+        template <std::size_t I, typename F, typename... Vs>
+        inline static constexpr AUTO make_fdiagonal_impl()
+          AUTO_RETURN(make_dispatch<F, Vs...>(
+              lib::index_sequence<lib::indexed_type<I, Vs>::value...>{}))
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_fdiagonal_impl(
+            lib::index_sequence<Is...>)
+          AUTO_RETURN(make_farray(make_fdiagonal_impl<Is, F, Vs...>()...))
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr /* auto * */ auto make_fdiagonal()
+            -> decltype(make_fdiagonal_impl<F, V, Vs...>(
+                lib::make_index_sequence<lib::decay_t<V>::size()>{})) {
+          static_assert(
+              all((lib::decay_t<V>::size() == lib::decay_t<Vs>::size())...),
+              "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>(
+              lib::make_index_sequence<lib::decay_t<V>::size()>{});
+        }
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_fmatrix_impl(
+            lib::index_sequence<Is...> is) {
+          return make_dispatch<F, Vs...>(is);
+        }
+
+        template <typename F,
+                  typename... Vs,
+                  std::size_t... Is,
+                  std::size_t... Js,
+                  typename... Ls>
+        inline static constexpr auto make_fmatrix_impl(
+            lib::index_sequence<Is...>, lib::index_sequence<Js...>, Ls... ls) {
+          return make_farray(make_fmatrix_impl<F, Vs...>(
+              lib::index_sequence<Is..., Js>{}, ls...)...);
+        }
+
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>(
+              lib::index_sequence<>{},
+              lib::make_index_sequence<lib::decay_t<Vs>::size()>{}...);
+        }
+#else
+        template <typename F, typename... Vs>
+        struct make_fmatrix_impl {
+          template <typename...>
+          struct impl;
+
+          template <std::size_t... Is>
+          struct impl<lib::index_sequence<Is...>> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(
+                  make_dispatch<F, Vs...>(lib::index_sequence<Is...>{}))
+          };
+
+          template <std::size_t... Is, std::size_t... Js, typename... Ls>
+          struct impl<lib::index_sequence<Is...>,
+                      lib::index_sequence<Js...>,
+                      Ls...> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(make_farray(
+                  impl<lib::index_sequence<Is..., Js>, Ls...>{}()...))
+          };
+        };
+
+        template <typename F, typename... Vs>
+        inline static constexpr AUTO make_fmatrix()
+          AUTO_RETURN(
+              typename make_fmatrix_impl<F, Vs...>::template impl<
+                  lib::index_sequence<>,
+                  lib::make_index_sequence<lib::decay_t<Vs>::size()>...>{}())
+#endif
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              at(make_fdiagonal<Visitor &&,
+                                decltype(as_base(lib::forward<Vs>(vs)))...>(),
+                 index)(lib::forward<Visitor>(visitor),
+                        as_base(lib::forward<Vs>(vs))...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              at(make_fmatrix<Visitor &&,
+                              decltype(as_base(lib::forward<Vs>(vs)))...>(),
+                 vs.index()...)(lib::forward<Visitor>(visitor),
+                                as_base(lib::forward<Vs>(vs))...))
+      };
+
+      struct variant {
+        private:
+        template <typename Visitor, typename... Values>
+        struct visit_exhaustive_visitor_check {
+          static_assert(
+              lib::is_invocable<Visitor, Values...>::value,
+              "`mpark::visit` requires the visitor to be exhaustive.");
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+          inline constexpr DECLTYPE_AUTO operator()(Visitor &&visitor,
+                                                    Values &&... values) const
+            DECLTYPE_AUTO_RETURN(lib::invoke(lib::forward<Visitor>(visitor),
+                                             lib::forward<Values>(values)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        };
+
+        template <typename Visitor>
+        struct value_visitor {
+          Visitor &&visitor_;
+
+          template <typename... Alts>
+          inline constexpr DECLTYPE_AUTO operator()(Alts &&... alts) const
+            DECLTYPE_AUTO_RETURN(
+                visit_exhaustive_visitor_check<
+                    Visitor,
+                    decltype((lib::forward<Alts>(alts).value))...>{}(
+                    lib::forward<Visitor>(visitor_),
+                    lib::forward<Alts>(alts).value...))
+        };
+
+        template <typename Visitor>
+        inline static constexpr AUTO make_value_visitor(Visitor &&visitor)
+          AUTO_RETURN(value_visitor<Visitor>{lib::forward<Visitor>(visitor)})
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              base::visit_alt_at(index,
+                                 lib::forward<Visitor>(visitor),
+                                 lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(base::visit_alt(lib::forward<Visitor>(visitor),
+                                               lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value_at(std::size_t index,
+                                                             Visitor &&visitor,
+                                                             Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt_at(index,
+                           make_value_visitor(lib::forward<Visitor>(visitor)),
+                           lib::forward<Vs>(vs)...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value(Visitor &&visitor,
+                                                          Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt(make_value_visitor(lib::forward<Visitor>(visitor)),
+                        lib::forward<Vs>(vs)...))
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value(lib::forward<Args>(args)...) {}
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      T value;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)      \
+  template <std::size_t Index, typename T, typename... Ts>                 \
+  union recursive_union<destructible_trait, Index, T, Ts...> {             \
+    public:                                                                \
+    inline explicit constexpr recursive_union(valueless_t) noexcept        \
+        : dummy_{} {}                                                      \
+                                                                           \
+    template <typename... Args>                                            \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,         \
+                                              Args &&... args)             \
+        : head_(in_place_t{}, lib::forward<Args>(args)...) {}              \
+                                                                           \
+    template <std::size_t I, typename... Args>                             \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,         \
+                                              Args &&... args)             \
+        : tail_(in_place_index_t<I - 1>{}, lib::forward<Args>(args)...) {} \
+                                                                           \
+    recursive_union(const recursive_union &) = default;                    \
+    recursive_union(recursive_union &&) = default;                         \
+                                                                           \
+    destructor                                                             \
+                                                                           \
+    recursive_union &operator=(const recursive_union &) = default;         \
+    recursive_union &operator=(recursive_union &&) = default;              \
+                                                                           \
+    private:                                                               \
+    char dummy_;                                                           \
+    alt<Index, T> head_;                                                   \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;           \
+                                                                           \
+    friend struct access::recursive_union;                                 \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef MPARK_VARIANT_RECURSIVE_UNION
+
+    using index_t = unsigned int;
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(static_cast<index_t>(-1)) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index_t<I>{}, lib::forward<Args>(args)...),
+            index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index_ == static_cast<index_t>(-1);
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return valueless_by_exception() ? variant_npos : index_;
+      }
+
+      protected:
+      using data_t = recursive_union<DestructibleTrait, 0, Ts...>;
+
+      friend inline constexpr base &as_base(base &b) { return b; }
+      friend inline constexpr const base &as_base(const base &b) { return b; }
+      friend inline constexpr base &&as_base(base &&b) { return lib::move(b); }
+      friend inline constexpr const base &&as_base(const base &&b) { return lib::move(b); }
+
+      friend inline constexpr data_t &data(base &b) { return b.data_; }
+      friend inline constexpr const data_t &data(const base &b) { return b.data_; }
+      friend inline constexpr data_t &&data(base &&b) { return lib::move(b).data_; }
+      friend inline constexpr const data_t &&data(const base &&b) { return lib::move(b).data_; }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      data_t data_;
+      index_t index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    struct dtor {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename Alt>
+      inline void operator()(Alt &alt) const noexcept { alt.~Alt(); }
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+    };
+
+#if defined(_MSC_VER) && _MSC_VER < 1910
+#define INHERITING_CTOR(type, base)               \
+  template <typename... Args>                     \
+  inline explicit constexpr type(Args &&... args) \
+      : base(lib::forward<Args>(args)...) {}
+#else
+#define INHERITING_CTOR(type, base) using base::base;
+#endif
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    INHERITING_CTOR(destructor, super)                                    \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    destroy                                                               \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::TriviallyAvailable,
+        ~destructor() = default;,
+        inline void destroy() noexcept {
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Available,
+        ~destructor() { destroy(); },
+        inline void destroy() noexcept {
+          if (!this->valueless_by_exception()) {
+            visitation::base::visit_alt(dtor{}, *this);
+          }
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Unavailable,
+        ~destructor() = delete;,
+        inline void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      INHERITING_CTOR(constructor, super)
+      using super::operator=;
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct ctor {
+        template <typename LhsAlt, typename RhsAlt>
+        inline void operator()(LhsAlt &lhs_alt, RhsAlt &&rhs_alt) const {
+          constructor::construct_alt(lhs_alt,
+                                     lib::forward<RhsAlt>(rhs_alt).value);
+        }
+      };
+#endif
+
+      template <std::size_t I, typename T, typename... Args>
+      inline static T &construct_alt(alt<I, T> &a, Args &&... args) {
+        ::new (static_cast<void *>(lib::addressof(a)))
+            alt<I, T>(in_place_t{}, lib::forward<Args>(args)...);
+        return a.value;
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::base::visit_alt_at(
+              rhs.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt, lib::forward<decltype(rhs_alt)>(rhs_alt).value);
+              }
+#else
+              ctor{}
+#endif
+              ,
+              lhs,
+              lib::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index_;
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(move_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            all(std::is_nothrow_move_constructible<Ts>::value...))
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, lib::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(copy_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      INHERITING_CTOR(assignment, super)
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline /* auto & */ auto emplace(Args &&... args)
+          -> decltype(this->construct_alt(access::base::get_alt<I>(*this),
+                                          lib::forward<Args>(args)...)) {
+        this->destroy();
+        auto &result = this->construct_alt(access::base::get_alt<I>(*this),
+                                           lib::forward<Args>(args)...);
+        this->index_ = I;
+        return result;
+      }
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      template <typename That>
+      struct assigner {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &&that_alt) const {
+          self->assign_alt(this_alt, lib::forward<ThatAlt>(that_alt).value);
+        }
+        assignment *self;
+      };
+#endif
+
+      template <std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a, Arg &&arg) {
+        if (this->index() == I) {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+          a.value = lib::forward<Arg>(arg);
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(lib::forward<Arg>(arg_));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(T(lib::forward<Arg>(arg_)));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, lib::forward<Arg>(arg)};
+          impl(lib::bool_constant<
+                   std::is_nothrow_constructible<T, Arg>::value ||
+                   !std::is_nothrow_move_constructible<T>::value>{});
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::base::visit_alt_at(
+              that.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt, lib::forward<decltype(that_alt)>(that_alt).value);
+              }
+#else
+              assigner<That>{this}
+#endif
+              ,
+              *this,
+              lib::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(move_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            all((std::is_nothrow_move_constructible<Ts>::value &&
+                 std::is_nothrow_move_assignable<Ts>::value)...)) {
+          this->generic_assign(lib::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(copy_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      INHERITING_CTOR(impl, super)
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         lib::forward<Arg>(arg));
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::base::visit_alt_at(this->index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+                                         [](auto &this_alt, auto &that_alt) {
+                                           using std::swap;
+                                           swap(this_alt.value,
+                                                that_alt.value);
+                                         }
+#else
+                                         swapper{}
+#endif
+                                         ,
+                                         *this,
+                                         that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(lib::move(*rhs));
+#ifdef MPARK_EXCEPTIONS
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarantee.
+          try {
+            this->generic_construct(*rhs, lib::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, lib::move(tmp));
+            }
+            throw;
+          }
+#else
+          this->generic_construct(*rhs, lib::move(*lhs));
+#endif
+          this->generic_construct(*lhs, lib::move(tmp));
+        }
+      }
+
+      private:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct swapper {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &that_alt) const {
+          using std::swap;
+          swap(this_alt.value, that_alt.value);
+        }
+      };
+#endif
+
+      inline constexpr bool move_nothrow() const {
+        return this->valueless_by_exception() ||
+               lib::array<bool, sizeof...(Ts)>{
+                   {std::is_nothrow_move_constructible<Ts>::value...}
+               }[this->index()];
+      }
+    };
+
+    template <typename... Ts>
+    struct overload;
+
+    template <>
+    struct overload<> { void operator()() const {} };
+
+    template <typename T, typename... Ts>
+    struct overload<T, Ts...> : overload<Ts...> {
+      using overload<Ts...>::operator();
+      lib::identity<T> operator()(T) const { return {}; }
+    };
+
+    template <typename T, typename... Ts>
+    using best_match_t =
+        typename lib::invoke_result_t<overload<Ts...>, T &&>::type;
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(lib::all<!std::is_array<Ts>::value...>::value,
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(lib::all<!std::is_reference<Ts>::value...>::value,
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(lib::all<!std::is_void<Ts>::value...>::value,
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = lib::type_pack_element_t<0, Ts...>,
+        lib::enable_if_t<std::is_default_constructible<Front>::value, int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index_t<0>{}) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <typename Arg,
+              lib::enable_if_t<!std::is_same<lib::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              typename T = detail::best_match_t<Arg, Ts...>,
+              std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+              lib::enable_if_t<std::is_constructible<T, Arg>::value, int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              lib::enable_if_t<!std::is_same<lib::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              typename T = detail::best_match_t<Arg, Ts...>,
+              std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+              lib::enable_if_t<(std::is_assignable<T &, Arg>::value &&
+                                std::is_constructible<T, Arg>::value),
+                               int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(lib::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <
+        bool Dummy = true,
+        lib::enable_if_t<lib::all<Dummy,
+                                  (std::is_move_constructible<Ts>::value &&
+                                   lib::is_swappable<Ts>::value)...>::value,
+                         int> = 0>
+    inline void swap(variant &that) noexcept(
+        lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                  lib::is_nothrow_swappable<Ts>::value)...>::value) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <std::size_t I, typename V>
+    struct generic_get_impl {
+      constexpr generic_get_impl(int) {}
+
+      constexpr AUTO_REFREF operator()(V &&v) const
+        AUTO_REFREF_RETURN(
+            access::variant::get_alt<I>(lib::forward<V>(v)).value)
+    };
+
+    template <std::size_t I, typename V>
+    inline constexpr AUTO_REFREF generic_get(V &&v)
+      AUTO_REFREF_RETURN(generic_get_impl<I, V>(
+          holds_alternative<I>(v) ? 0 : (throw_bad_variant_access(), 0))(
+          lib::forward<V>(v)))
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr /* auto * */ AUTO generic_get_if(V *v) noexcept
+      AUTO_RETURN(v && holds_alternative<I>(*v)
+                      ? lib::addressof(access::variant::get_alt<I>(*v).value)
+                      : nullptr)
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs);
+#else
+    return lhs.index() == rhs.index() &&
+           (lhs.valueless_by_exception() ||
+            variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::not_equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs);
+#else
+    return lhs.index() != rhs.index() ||
+           (!lhs.valueless_by_exception() &&
+            variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::less;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less{}, lhs, rhs);
+#else
+    return !rhs.valueless_by_exception() &&
+           (lhs.valueless_by_exception() || lhs.index() < rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), less{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::greater;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater{}, lhs, rhs);
+#else
+    return !lhs.valueless_by_exception() &&
+           (rhs.valueless_by_exception() || lhs.index() > rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), greater{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::less_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs);
+#else
+    return lhs.valueless_by_exception() ||
+           (!rhs.valueless_by_exception() &&
+            (lhs.index() < rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::greater_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater_equal{}, lhs, rhs);
+#else
+    return rhs.valueless_by_exception() ||
+           (!lhs.valueless_by_exception() &&
+            (lhs.index() > rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(
+                  lhs.index(), greater_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr DECLTYPE_AUTO visit(Visitor &&visitor, Vs &&... vs)
+    DECLTYPE_AUTO_RETURN(
+        (detail::all(!vs.valueless_by_exception()...)
+             ? (void)0
+             : throw_bad_variant_access()),
+        detail::visitation::variant::visit_value(lib::forward<Visitor>(visitor),
+                                                 lib::forward<Vs>(vs)...))
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+  namespace detail {
+
+    template <typename T, typename...>
+    using enabled_type = T;
+
+    namespace hash {
+
+      template <typename H, typename K>
+      constexpr bool meets_requirements() {
+        return std::is_copy_constructible<H>::value &&
+               std::is_move_constructible<H>::value &&
+               lib::is_invocable_r<std::size_t, H, const K &>::value;
+      }
+
+      template <typename K>
+      constexpr bool is_enabled() {
+        using H = std::hash<K>;
+        return meets_requirements<H, K>() &&
+               std::is_default_constructible<H>::value &&
+               std::is_copy_assignable<H>::value &&
+               std::is_move_assignable<H>::value;
+      }
+
+    }  // namespace hash
+
+  }  // namespace detail
+
+#undef AUTO
+#undef AUTO_RETURN
+
+#undef AUTO_REFREF
+#undef AUTO_REFREF_RETURN
+
+#undef DECLTYPE_AUTO
+#undef DECLTYPE_AUTO_RETURN
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::detail::enabled_type<
+      mpark::variant<Ts...>,
+      mpark::lib::enable_if_t<mpark::lib::all<mpark::detail::hash::is_enabled<
+          mpark::lib::remove_const_t<Ts>>()...>::value>>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+#ifdef MPARK_GENERIC_LAMBDAS
+                    [](const auto &alt) {
+                      using alt_type = mpark::lib::decay_t<decltype(alt)>;
+                      using value_type = mpark::lib::remove_const_t<
+                          typename alt_type::value_type>;
+                      return hash<value_type>{}(alt.value);
+                    }
+#else
+                    hasher{}
+#endif
+                    ,
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+#ifndef MPARK_GENERIC_LAMBDAS
+    struct hasher {
+      template <typename Alt>
+      inline std::size_t operator()(const Alt &alt) const {
+        using alt_type = mpark::lib::decay_t<Alt>;
+        using value_type =
+            mpark::lib::remove_const_t<typename alt_type::value_type>;
+        return hash<value_type>{}(alt.value);
+      }
+    };
+#endif
+
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const noexcept {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/mpark-variant/v1.2.1/variant.hpp

@@ -0,0 +1,2424 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    T& emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    T& emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    variant_alternative<I, variant>& emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    variant_alternative<I, variant>& emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_CONFIG_HPP
+#define MPARK_CONFIG_HPP
+
+// MSVC 2015 Update 3.
+#if __cplusplus < 201103L && (!defined(_MSC_VER) || _MSC_FULL_VER < 190024215)
+#error "MPark.Variant requires C++11 support."
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#ifndef __has_include
+#define __has_include(x) 0
+#endif
+
+#ifndef __has_feature
+#define __has_feature(x) 0
+#endif
+
+#if __has_builtin(__builtin_addressof) || \
+    (defined(__GNUC__) && __GNUC__ >= 7) || defined(_MSC_VER)
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 201304
+#define MPARK_CPP14_CONSTEXPR
+#endif
+
+#if __has_feature(cxx_exceptions) || defined(__cpp_exceptions)
+#define MPARK_EXCEPTIONS
+#endif
+
+#if defined(__cpp_generic_lambdas) || defined(_MSC_VER)
+#define MPARK_GENERIC_LAMBDAS
+#endif
+
+#if defined(__cpp_lib_integer_sequence)
+#define MPARK_INTEGER_SEQUENCE
+#endif
+
+#if defined(__cpp_return_type_deduction) || defined(_MSC_VER)
+#define MPARK_RETURN_TYPE_DEDUCTION
+#endif
+
+#if defined(__cpp_lib_transparent_operators) || defined(_MSC_VER)
+#define MPARK_TRANSPARENT_OPERATORS
+#endif
+
+#if defined(__cpp_variable_templates) || defined(_MSC_VER)
+#define MPARK_VARIABLE_TEMPLATES
+#endif
+
+#if !defined(__GLIBCXX__) || __has_include(<codecvt>)  // >= libstdc++-5
+#define MPARK_TRIVIALITY_TYPE_TRAITS
+#endif
+
+#endif  // MPARK_CONFIG_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+
+namespace mpark {
+
+  struct in_place_t { explicit in_place_t() = default; };
+
+  template <std::size_t I>
+  struct in_place_index_t { explicit in_place_index_t() = default; };
+
+  template <typename T>
+  struct in_place_type_t { explicit in_place_type_t() = default; };
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I> constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T> constexpr in_place_type_t<T> in_place_type{};
+#endif
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_LIB_HPP
+#define MPARK_LIB_HPP
+
+#include <memory>
+#include <functional>
+#include <type_traits>
+#include <utility>
+
+
+#define RETURN(...)                                          \
+  noexcept(noexcept(__VA_ARGS__)) -> decltype(__VA_ARGS__) { \
+    return __VA_ARGS__;                                      \
+  }
+
+namespace mpark {
+  namespace lib {
+    template <typename T>
+    struct identity { using type = T; };
+
+    inline namespace cpp14 {
+      template <typename T, std::size_t N>
+      struct array {
+        constexpr const T &operator[](std::size_t index) const {
+          return data[index];
+        }
+
+        T data[N == 0 ? 1 : N];
+      };
+
+      template <typename T>
+      using add_pointer_t = typename std::add_pointer<T>::type;
+
+      template <typename... Ts>
+      using common_type_t = typename std::common_type<Ts...>::type;
+
+      template <typename T>
+      using decay_t = typename std::decay<T>::type;
+
+      template <bool B, typename T = void>
+      using enable_if_t = typename std::enable_if<B, T>::type;
+
+      template <typename T>
+      using remove_const_t = typename std::remove_const<T>::type;
+
+      template <typename T>
+      using remove_reference_t = typename std::remove_reference<T>::type;
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &t) noexcept {
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &&t) noexcept {
+        static_assert(!std::is_lvalue_reference<T>::value,
+                      "can not forward an rvalue as an lvalue");
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr remove_reference_t<T> &&move(T &&t) noexcept {
+        return static_cast<remove_reference_t<T> &&>(t);
+      }
+
+#ifdef MPARK_INTEGER_SEQUENCE
+      template <typename T, T... Is>
+      using integer_sequence = std::integer_sequence<T, Is...>;
+
+      template <std::size_t... Is>
+      using index_sequence = std::index_sequence<Is...>;
+
+      template <std::size_t N>
+      using make_index_sequence = std::make_index_sequence<N>;
+
+      template <typename... Ts>
+      using index_sequence_for = std::index_sequence_for<Ts...>;
+#else
+      template <typename T, T... Is>
+      struct integer_sequence {
+        using value_type = T;
+        static constexpr std::size_t size() noexcept { return sizeof...(Is); }
+      };
+
+      template <std::size_t... Is>
+      using index_sequence = integer_sequence<std::size_t, Is...>;
+
+      template <typename Lhs, typename Rhs>
+      struct make_index_sequence_concat;
+
+      template <std::size_t... Lhs, std::size_t... Rhs>
+      struct make_index_sequence_concat<index_sequence<Lhs...>,
+                                        index_sequence<Rhs...>>
+          : identity<index_sequence<Lhs..., (sizeof...(Lhs) + Rhs)...>> {};
+
+      template <std::size_t N>
+      struct make_index_sequence_impl;
+
+      template <std::size_t N>
+      using make_index_sequence = typename make_index_sequence_impl<N>::type;
+
+      template <std::size_t N>
+      struct make_index_sequence_impl
+          : make_index_sequence_concat<make_index_sequence<N / 2>,
+                                       make_index_sequence<N - (N / 2)>> {};
+
+      template <>
+      struct make_index_sequence_impl<0> : identity<index_sequence<>> {};
+
+      template <>
+      struct make_index_sequence_impl<1> : identity<index_sequence<0>> {};
+
+      template <typename... Ts>
+      using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
+#endif
+
+      // <functional>
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using equal_to = std::equal_to<>;
+#else
+      struct equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) == lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using not_equal_to = std::not_equal_to<>;
+#else
+      struct not_equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) != lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less = std::less<>;
+#else
+      struct less {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) < lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater = std::greater<>;
+#else
+      struct greater {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) > lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less_equal = std::less_equal<>;
+#else
+      struct less_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) <= lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater_equal = std::greater_equal<>;
+#else
+      struct greater_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) >= lib::forward<Rhs>(rhs))
+      };
+#endif
+    }  // namespace cpp14
+
+    inline namespace cpp17 {
+
+      // <type_traits>
+      template <bool B>
+      using bool_constant = std::integral_constant<bool, B>;
+
+      template <typename...>
+      struct voider : identity<void> {};
+
+      template <typename... Ts>
+      using void_t = typename voider<Ts...>::type;
+
+      namespace detail {
+        namespace swappable {
+
+          using std::swap;
+
+          template <typename T>
+          struct is_swappable_impl {
+            private:
+            template <typename U,
+                      typename = decltype(swap(std::declval<U &>(),
+                                               std::declval<U &>()))>
+            inline static std::true_type test(int);
+
+            template <typename U>
+            inline static std::false_type test(...);
+
+            public:
+            using type = decltype(test<T>(0));
+          };
+
+          template <typename T>
+          using is_swappable = typename is_swappable_impl<T>::type;
+
+          template <typename T, bool = is_swappable<T>::value>
+          struct is_nothrow_swappable {
+            static constexpr bool value =
+                noexcept(swap(std::declval<T &>(), std::declval<T &>()));
+          };
+
+          template <typename T>
+          struct is_nothrow_swappable<T, false> : std::false_type {};
+
+        }  // namespace swappable
+      }  // namespace detail
+
+      template <typename T>
+      using is_swappable = detail::swappable::is_swappable<T>;
+
+      template <typename T>
+      using is_nothrow_swappable = detail::swappable::is_nothrow_swappable<T>;
+
+      // <functional>
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename F, typename... As>
+      inline constexpr auto invoke(F &&f, As &&... as)
+          RETURN(lib::forward<F>(f)(lib::forward<As>(as)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      template <typename B, typename T, typename D>
+      inline constexpr auto invoke(T B::*pmv, D &&d)
+          RETURN(lib::forward<D>(d).*pmv)
+
+      template <typename Pmv, typename Ptr>
+      inline constexpr auto invoke(Pmv pmv, Ptr &&ptr)
+          RETURN((*lib::forward<Ptr>(ptr)).*pmv)
+
+      template <typename B, typename T, typename D, typename... As>
+      inline constexpr auto invoke(T B::*pmf, D &&d, As &&... as)
+          RETURN((lib::forward<D>(d).*pmf)(lib::forward<As>(as)...))
+
+      template <typename Pmf, typename Ptr, typename... As>
+      inline constexpr auto invoke(Pmf pmf, Ptr &&ptr, As &&... as)
+          RETURN(((*lib::forward<Ptr>(ptr)).*pmf)(lib::forward<As>(as)...))
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct invoke_result {};
+
+        template <typename F, typename... Args>
+        struct invoke_result<void_t<decltype(lib::invoke(
+                                 std::declval<F>(), std::declval<Args>()...))>,
+                             F,
+                             Args...>
+            : identity<decltype(
+                  lib::invoke(std::declval<F>(), std::declval<Args>()...))> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using invoke_result = detail::invoke_result<void, F, Args...>;
+
+      template <typename F, typename... Args>
+      using invoke_result_t = typename invoke_result<F, Args...>::type;
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct is_invocable : std::false_type {};
+
+        template <typename F, typename... Args>
+        struct is_invocable<void_t<invoke_result_t<F, Args...>>, F, Args...>
+            : std::true_type {};
+
+        template <typename Void, typename, typename, typename...>
+        struct is_invocable_r : std::false_type {};
+
+        template <typename R, typename F, typename... Args>
+        struct is_invocable_r<void_t<invoke_result_t<F, Args...>>,
+                              R,
+                              F,
+                              Args...>
+            : std::is_convertible<invoke_result_t<F, Args...>, R> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using is_invocable = detail::is_invocable<void, F, Args...>;
+
+      template <typename R, typename F, typename... Args>
+      using is_invocable_r = detail::is_invocable_r<void, R, F, Args...>;
+
+      // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return __builtin_addressof(arg);
+      }
+#else
+      namespace detail {
+
+        namespace has_addressof_impl {
+
+          struct fail;
+
+          template <typename T>
+          inline fail operator&(T &&);
+
+          template <typename T>
+          inline static constexpr bool impl() {
+            return (std::is_class<T>::value || std::is_union<T>::value) &&
+                   !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+          }
+
+        }  // namespace has_addressof_impl
+
+        template <typename T>
+        using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::true_type) {
+          return std::addressof(arg);
+        }
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::false_type) {
+          return &arg;
+        }
+
+      }  // namespace detail
+
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return detail::addressof(arg, detail::has_addressof<T>{});
+      }
+#endif
+
+      template <typename T>
+      inline constexpr T *addressof(const T &&) = delete;
+
+    }  // namespace cpp17
+
+    template <typename T>
+    struct remove_all_extents : identity<T> {};
+
+    template <typename T, std::size_t N>
+    struct remove_all_extents<array<T, N>> : remove_all_extents<T> {};
+
+    template <typename T>
+    using remove_all_extents_t = typename remove_all_extents<T>::type;
+
+    template <std::size_t N>
+    using size_constant = std::integral_constant<std::size_t, N>;
+
+    template <bool... Bs>
+    using bool_sequence = integer_sequence<bool, Bs...>;
+
+    template <std::size_t I, typename T>
+    struct indexed_type : size_constant<I>, identity<T> {};
+
+    template <bool... Bs>
+    using all =
+        std::is_same<bool_sequence<true, Bs...>, bool_sequence<Bs..., true>>;
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+    template <std::size_t I, typename... Ts>
+    struct type_pack_element_impl {
+      private:
+      template <typename>
+      struct set;
+
+      template <std::size_t... Is>
+      struct set<index_sequence<Is...>> : indexed_type<Is, Ts>... {};
+
+      template <typename T>
+      inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+      inline static std::enable_if<false> impl(...);
+
+      public:
+      using type = decltype(impl(set<index_sequence_for<Ts...>>{}));
+    };
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+#ifdef MPARK_TRIVIALITY_TYPE_TRAITS
+    template <typename T>
+    using is_trivially_copy_constructible =
+        std::is_trivially_copy_constructible<T>;
+
+    template <typename T>
+    using is_trivially_move_constructible =
+        std::is_trivially_move_constructible<T>;
+
+    template <typename T>
+    using is_trivially_copy_assignable = std::is_trivially_copy_assignable<T>;
+
+    template <typename T>
+    using is_trivially_move_assignable = std::is_trivially_move_assignable<T>;
+#else
+    template <typename T>
+    struct is_trivially_copy_constructible
+        : bool_constant<
+              std::is_copy_constructible<T>::value && __has_trivial_copy(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_constructible : bool_constant<__is_trivial(T)> {};
+
+    template <typename T>
+    struct is_trivially_copy_assignable
+        : bool_constant<
+              std::is_copy_assignable<T>::value && __has_trivial_assign(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_assignable : bool_constant<__is_trivial(T)> {};
+#endif
+
+  }  // namespace lib
+}  // namespace mpark
+
+#undef RETURN
+
+#endif  // MPARK_LIB_HPP
+
+
+namespace mpark {
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+
+#define AUTO auto
+#define AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto &&
+#define AUTO_REFREF_RETURN(...) { return __VA_ARGS__; }
+
+#define DECLTYPE_AUTO decltype(auto)
+#define DECLTYPE_AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#else
+
+#define AUTO auto
+#define AUTO_RETURN(...) \
+  -> lib::decay_t<decltype(__VA_ARGS__)> { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto
+#define AUTO_REFREF_RETURN(...)                                           \
+  -> decltype((__VA_ARGS__)) {                                            \
+    static_assert(std::is_reference<decltype((__VA_ARGS__))>::value, ""); \
+    return __VA_ARGS__;                                                   \
+  }
+
+#define DECLTYPE_AUTO auto
+#define DECLTYPE_AUTO_RETURN(...) \
+  -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+#endif
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept { return "bad_variant_access"; }
+  };
+
+  [[noreturn]] inline void throw_bad_variant_access() {
+#ifdef MPARK_EXCEPTIONS
+    throw bad_variant_access{};
+#else
+    std::terminate();
+#endif
+  }
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+#endif
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>> : lib::size_constant<sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "Index out of bounds in std::variant_alternative<>");
+    using type = lib::type_pack_element_t<I, Ts...>;
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr lib::array<bool, sizeof...(Ts)> matches = {
+          {std::is_same<T, Ts>::value...}
+      };
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t) {
+      return result;
+    }
+
+    template <typename... Bs>
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t idx,
+                                                 bool b,
+                                                 Bs... bs) {
+      return b ? (result != not_found ? ambiguous
+                                      : find_index_impl(idx, idx + 1, bs...))
+               : find_index_impl(result, idx + 1, bs...);
+    }
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      return find_index_impl(not_found, 0, std::is_same<T, Ts>::value...);
+    }
+#endif
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        lib::enable_if_t<I != not_found && I != ambiguous,
+                         lib::size_constant<I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : lib::size_constant<I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... traits) {
+      Trait result = Trait::TriviallyAvailable;
+      for (Trait t : {traits...}) {
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr Trait common_trait_impl(Trait result) { return result; }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait_impl(Trait result,
+                                             Trait t,
+                                             Traits... ts) {
+      return static_cast<int>(t) > static_cast<int>(result)
+                 ? common_trait_impl(t, ts...)
+                 : common_trait_impl(result, ts...);
+    }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... ts) {
+      return common_trait_impl(Trait::TriviallyAvailable, ts...);
+    }
+#endif
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_copy_constructible,
+                             std::is_copy_constructible>()...);
+
+      static constexpr Trait move_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_move_constructible,
+                             std::is_move_constructible>()...);
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait(copy_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_copy_assignable,
+                             std::is_copy_assignable>()...);
+
+      static constexpr Trait move_assignable_trait =
+          common_trait(move_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_move_assignable,
+                             std::is_move_assignable>()...);
+
+      static constexpr Trait destructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_destructible,
+                             std::is_destructible>()...);
+    };
+
+    namespace access {
+
+      struct recursive_union {
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return lib::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(lib::forward<V>(v).tail_, in_place_index_t<I - 1>{});
+        }
+#else
+        template <std::size_t I, bool Dummy = true>
+        struct get_alt_impl {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(get_alt_impl<I - 1>{}(lib::forward<V>(v).tail_))
+        };
+
+        template <bool Dummy>
+        struct get_alt_impl<0, Dummy> {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(lib::forward<V>(v).head_)
+        };
+
+        template <typename V, std::size_t I>
+        inline static constexpr AUTO_REFREF get_alt(V &&v, in_place_index_t<I>)
+          AUTO_REFREF_RETURN(get_alt_impl<I>{}(lib::forward<V>(v)))
+#endif
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              data(lib::forward<V>(v)), in_place_index_t<I>{}))
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(base::get_alt<I>(lib::forward<V>(v).impl_))
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+      struct base {
+        private:
+        template <typename T>
+        inline static constexpr const T &at(const T &elem) {
+          return elem;
+        }
+
+        template <typename T, std::size_t N, typename... Is>
+        inline static constexpr const lib::remove_all_extents_t<T> &at(
+            const lib::array<T, N> &elems, std::size_t i, Is... is) {
+          return at(elems[i], is...);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr int visit_visitor_return_type_check() {
+          static_assert(lib::all<std::is_same<F, Fs>::value...>::value,
+                        "`mpark::visit` requires the visitor to have a single "
+                        "return type.");
+          return 0;
+        }
+
+        template <typename... Fs>
+        inline static constexpr lib::array<
+            lib::common_type_t<lib::decay_t<Fs>...>,
+            sizeof...(Fs)>
+        make_farray(Fs &&... fs) {
+          using result = lib::array<lib::common_type_t<lib::decay_t<Fs>...>,
+                                    sizeof...(Fs)>;
+          return visit_visitor_return_type_check<lib::decay_t<Fs>...>(),
+                 result{{lib::forward<Fs>(fs)...}};
+        }
+
+        template <std::size_t... Is>
+        struct dispatcher {
+          template <typename F, typename... Vs>
+          struct impl {
+            inline static constexpr DECLTYPE_AUTO dispatch(F f, Vs... vs)
+              DECLTYPE_AUTO_RETURN(lib::invoke(
+                  static_cast<F>(f),
+                  access::base::get_alt<Is>(static_cast<Vs>(vs))...))
+          };
+        };
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_dispatch(lib::index_sequence<Is...>)
+          AUTO_RETURN(&dispatcher<Is...>::template impl<F, Vs...>::dispatch)
+
+        template <std::size_t I, typename F, typename... Vs>
+        inline static constexpr AUTO make_fdiagonal_impl()
+          AUTO_RETURN(make_dispatch<F, Vs...>(
+              lib::index_sequence<lib::indexed_type<I, Vs>::value...>{}))
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_fdiagonal_impl(
+            lib::index_sequence<Is...>)
+          AUTO_RETURN(make_farray(make_fdiagonal_impl<Is, F, Vs...>()...))
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr /* auto * */ auto make_fdiagonal()
+            -> decltype(make_fdiagonal_impl<F, V, Vs...>(
+                lib::make_index_sequence<lib::decay_t<V>::size()>{})) {
+          static_assert(lib::all<(lib::decay_t<V>::size() ==
+                                  lib::decay_t<Vs>::size())...>::value,
+                        "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>(
+              lib::make_index_sequence<lib::decay_t<V>::size()>{});
+        }
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_fmatrix_impl(
+            lib::index_sequence<Is...> is) {
+          return make_dispatch<F, Vs...>(is);
+        }
+
+        template <typename F,
+                  typename... Vs,
+                  std::size_t... Is,
+                  std::size_t... Js,
+                  typename... Ls>
+        inline static constexpr auto make_fmatrix_impl(
+            lib::index_sequence<Is...>, lib::index_sequence<Js...>, Ls... ls) {
+          return make_farray(make_fmatrix_impl<F, Vs...>(
+              lib::index_sequence<Is..., Js>{}, ls...)...);
+        }
+
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>(
+              lib::index_sequence<>{},
+              lib::make_index_sequence<lib::decay_t<Vs>::size()>{}...);
+        }
+#else
+        template <typename F, typename... Vs>
+        struct make_fmatrix_impl {
+          template <typename...>
+          struct impl;
+
+          template <std::size_t... Is>
+          struct impl<lib::index_sequence<Is...>> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(
+                  make_dispatch<F, Vs...>(lib::index_sequence<Is...>{}))
+          };
+
+          template <std::size_t... Is, std::size_t... Js, typename... Ls>
+          struct impl<lib::index_sequence<Is...>,
+                      lib::index_sequence<Js...>,
+                      Ls...> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(make_farray(
+                  impl<lib::index_sequence<Is..., Js>, Ls...>{}()...))
+          };
+        };
+
+        template <typename F, typename... Vs>
+        inline static constexpr AUTO make_fmatrix()
+          AUTO_RETURN(
+              typename make_fmatrix_impl<F, Vs...>::template impl<
+                  lib::index_sequence<>,
+                  lib::make_index_sequence<lib::decay_t<Vs>::size()>...>{}())
+#endif
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              at(make_fdiagonal<Visitor &&,
+                                decltype(as_base(lib::forward<Vs>(vs)))...>(),
+                 index)(lib::forward<Visitor>(visitor),
+                        as_base(lib::forward<Vs>(vs))...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              at(make_fmatrix<Visitor &&,
+                              decltype(as_base(lib::forward<Vs>(vs)))...>(),
+                 vs.index()...)(lib::forward<Visitor>(visitor),
+                                as_base(lib::forward<Vs>(vs))...))
+      };
+
+      struct variant {
+        private:
+        template <typename Visitor, typename... Values>
+        struct visit_exhaustive_visitor_check {
+          static_assert(
+              lib::is_invocable<Visitor, Values...>::value,
+              "`mpark::visit` requires the visitor to be exhaustive.");
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+          inline constexpr DECLTYPE_AUTO operator()(Visitor &&visitor,
+                                                    Values &&... values) const
+            DECLTYPE_AUTO_RETURN(lib::invoke(lib::forward<Visitor>(visitor),
+                                             lib::forward<Values>(values)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        };
+
+        template <typename Visitor>
+        struct value_visitor {
+          Visitor &&visitor_;
+
+          template <typename... Alts>
+          inline constexpr DECLTYPE_AUTO operator()(Alts &&... alts) const
+            DECLTYPE_AUTO_RETURN(
+                visit_exhaustive_visitor_check<
+                    Visitor,
+                    decltype((lib::forward<Alts>(alts).value))...>{}(
+                    lib::forward<Visitor>(visitor_),
+                    lib::forward<Alts>(alts).value...))
+        };
+
+        template <typename Visitor>
+        inline static constexpr AUTO make_value_visitor(Visitor &&visitor)
+          AUTO_RETURN(value_visitor<Visitor>{lib::forward<Visitor>(visitor)})
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              base::visit_alt_at(index,
+                                 lib::forward<Visitor>(visitor),
+                                 lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(base::visit_alt(lib::forward<Visitor>(visitor),
+                                               lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value_at(std::size_t index,
+                                                             Visitor &&visitor,
+                                                             Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt_at(index,
+                           make_value_visitor(lib::forward<Visitor>(visitor)),
+                           lib::forward<Vs>(vs)...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value(Visitor &&visitor,
+                                                          Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt(make_value_visitor(lib::forward<Visitor>(visitor)),
+                        lib::forward<Vs>(vs)...))
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value(lib::forward<Args>(args)...) {}
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      T value;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)      \
+  template <std::size_t Index, typename T, typename... Ts>                 \
+  union recursive_union<destructible_trait, Index, T, Ts...> {             \
+    public:                                                                \
+    inline explicit constexpr recursive_union(valueless_t) noexcept        \
+        : dummy_{} {}                                                      \
+                                                                           \
+    template <typename... Args>                                            \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,         \
+                                              Args &&... args)             \
+        : head_(in_place_t{}, lib::forward<Args>(args)...) {}              \
+                                                                           \
+    template <std::size_t I, typename... Args>                             \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,         \
+                                              Args &&... args)             \
+        : tail_(in_place_index_t<I - 1>{}, lib::forward<Args>(args)...) {} \
+                                                                           \
+    recursive_union(const recursive_union &) = default;                    \
+    recursive_union(recursive_union &&) = default;                         \
+                                                                           \
+    destructor                                                             \
+                                                                           \
+    recursive_union &operator=(const recursive_union &) = default;         \
+    recursive_union &operator=(recursive_union &&) = default;              \
+                                                                           \
+    private:                                                               \
+    char dummy_;                                                           \
+    alt<Index, T> head_;                                                   \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;           \
+                                                                           \
+    friend struct access::recursive_union;                                 \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef MPARK_VARIANT_RECURSIVE_UNION
+
+    using index_t = unsigned int;
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(static_cast<index_t>(-1)) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index_t<I>{}, lib::forward<Args>(args)...),
+            index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index_ == static_cast<index_t>(-1);
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return valueless_by_exception() ? variant_npos : index_;
+      }
+
+      protected:
+      using data_t = recursive_union<DestructibleTrait, 0, Ts...>;
+
+      friend inline constexpr base &as_base(base &b) { return b; }
+      friend inline constexpr const base &as_base(const base &b) { return b; }
+      friend inline constexpr base &&as_base(base &&b) { return lib::move(b); }
+      friend inline constexpr const base &&as_base(const base &&b) { return lib::move(b); }
+
+      friend inline constexpr data_t &data(base &b) { return b.data_; }
+      friend inline constexpr const data_t &data(const base &b) { return b.data_; }
+      friend inline constexpr data_t &&data(base &&b) { return lib::move(b).data_; }
+      friend inline constexpr const data_t &&data(const base &&b) { return lib::move(b).data_; }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      data_t data_;
+      index_t index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    struct dtor {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename Alt>
+      inline void operator()(Alt &alt) const noexcept { alt.~Alt(); }
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+    };
+
+#if defined(_MSC_VER) && _MSC_VER < 1910
+#define INHERITING_CTOR(type, base)               \
+  template <typename... Args>                     \
+  inline explicit constexpr type(Args &&... args) \
+      : base(lib::forward<Args>(args)...) {}
+#else
+#define INHERITING_CTOR(type, base) using base::base;
+#endif
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    INHERITING_CTOR(destructor, super)                                    \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    destroy                                                               \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::TriviallyAvailable,
+        ~destructor() = default;,
+        inline void destroy() noexcept {
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Available,
+        ~destructor() { destroy(); },
+        inline void destroy() noexcept {
+          if (!this->valueless_by_exception()) {
+            visitation::base::visit_alt(dtor{}, *this);
+          }
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Unavailable,
+        ~destructor() = delete;,
+        inline void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      INHERITING_CTOR(constructor, super)
+      using super::operator=;
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct ctor {
+        template <typename LhsAlt, typename RhsAlt>
+        inline void operator()(LhsAlt &lhs_alt, RhsAlt &&rhs_alt) const {
+          constructor::construct_alt(lhs_alt,
+                                     lib::forward<RhsAlt>(rhs_alt).value);
+        }
+      };
+#endif
+
+      template <std::size_t I, typename T, typename... Args>
+      inline static T &construct_alt(alt<I, T> &a, Args &&... args) {
+        ::new (static_cast<void *>(lib::addressof(a)))
+            alt<I, T>(in_place_t{}, lib::forward<Args>(args)...);
+        return a.value;
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::base::visit_alt_at(
+              rhs.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt, lib::forward<decltype(rhs_alt)>(rhs_alt).value);
+              }
+#else
+              ctor{}
+#endif
+              ,
+              lhs,
+              lib::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index_;
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(move_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            lib::all<std::is_nothrow_move_constructible<Ts>::value...>::value)
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, lib::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(copy_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      INHERITING_CTOR(assignment, super)
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline /* auto & */ auto emplace(Args &&... args)
+          -> decltype(this->construct_alt(access::base::get_alt<I>(*this),
+                                          lib::forward<Args>(args)...)) {
+        this->destroy();
+        auto &result = this->construct_alt(access::base::get_alt<I>(*this),
+                                           lib::forward<Args>(args)...);
+        this->index_ = I;
+        return result;
+      }
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      template <typename That>
+      struct assigner {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &&that_alt) const {
+          self->assign_alt(this_alt, lib::forward<ThatAlt>(that_alt).value);
+        }
+        assignment *self;
+      };
+#endif
+
+      template <std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a, Arg &&arg) {
+        if (this->index() == I) {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+          a.value = lib::forward<Arg>(arg);
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(lib::forward<Arg>(arg_));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(T(lib::forward<Arg>(arg_)));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, lib::forward<Arg>(arg)};
+          impl(lib::bool_constant<
+                   std::is_nothrow_constructible<T, Arg>::value ||
+                   !std::is_nothrow_move_constructible<T>::value>{});
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::base::visit_alt_at(
+              that.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt, lib::forward<decltype(that_alt)>(that_alt).value);
+              }
+#else
+              assigner<That>{this}
+#endif
+              ,
+              *this,
+              lib::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(move_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                      std::is_nothrow_move_assignable<Ts>::value)...>::value) {
+          this->generic_assign(lib::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(copy_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      INHERITING_CTOR(impl, super)
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         lib::forward<Arg>(arg));
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::base::visit_alt_at(this->index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+                                         [](auto &this_alt, auto &that_alt) {
+                                           using std::swap;
+                                           swap(this_alt.value,
+                                                that_alt.value);
+                                         }
+#else
+                                         swapper{}
+#endif
+                                         ,
+                                         *this,
+                                         that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(lib::move(*rhs));
+#ifdef MPARK_EXCEPTIONS
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarantee.
+          try {
+            this->generic_construct(*rhs, lib::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, lib::move(tmp));
+            }
+            throw;
+          }
+#else
+          this->generic_construct(*rhs, lib::move(*lhs));
+#endif
+          this->generic_construct(*lhs, lib::move(tmp));
+        }
+      }
+
+      private:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct swapper {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &that_alt) const {
+          using std::swap;
+          swap(this_alt.value, that_alt.value);
+        }
+      };
+#endif
+
+      inline constexpr bool move_nothrow() const {
+        return this->valueless_by_exception() ||
+               lib::array<bool, sizeof...(Ts)>{
+                   {std::is_nothrow_move_constructible<Ts>::value...}
+               }[this->index()];
+      }
+    };
+
+    template <std::size_t I, typename T>
+    struct overload_leaf {
+      using F = lib::size_constant<I> (*)(T);
+      operator F() const { return nullptr; }
+    };
+
+    template <typename... Ts>
+    struct overload_impl {
+      private:
+      template <typename>
+      struct impl;
+
+      template <std::size_t... Is>
+      struct impl<lib::index_sequence<Is...>> : overload_leaf<Is, Ts>... {};
+
+      public:
+      using type = impl<lib::index_sequence_for<Ts...>>;
+    };
+
+    template <typename... Ts>
+    using overload = typename overload_impl<Ts...>::type;
+
+    template <typename T, typename... Ts>
+    using best_match = lib::invoke_result_t<overload<Ts...>, T &&>;
+
+    template <typename T>
+    struct is_in_place_index : std::false_type {};
+
+    template <std::size_t I>
+    struct is_in_place_index<in_place_index_t<I>> : std::true_type {};
+
+    template <typename T>
+    struct is_in_place_type : std::false_type {};
+
+    template <typename T>
+    struct is_in_place_type<in_place_type_t<T>> : std::true_type {};
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(lib::all<!std::is_array<Ts>::value...>::value,
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(lib::all<!std::is_reference<Ts>::value...>::value,
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(lib::all<!std::is_void<Ts>::value...>::value,
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = lib::type_pack_element_t<0, Ts...>,
+        lib::enable_if_t<std::is_default_constructible<Front>::value, int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index_t<0>{}) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <
+        typename Arg,
+        typename Decayed = lib::decay_t<Arg>,
+        lib::enable_if_t<!std::is_same<Decayed, variant>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_index<Decayed>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_type<Decayed>::value, int> = 0,
+        std::size_t I = detail::best_match<Arg, Ts...>::value,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Arg>::value, int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              lib::enable_if_t<!std::is_same<lib::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              std::size_t I = detail::best_match<Arg, Ts...>::value,
+              typename T = lib::type_pack_element_t<I, Ts...>,
+              lib::enable_if_t<(std::is_assignable<T &, Arg>::value &&
+                                std::is_constructible<T, Arg>::value),
+                               int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(lib::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <
+        bool Dummy = true,
+        lib::enable_if_t<lib::all<Dummy,
+                                  (std::is_move_constructible<Ts>::value &&
+                                   lib::is_swappable<Ts>::value)...>::value,
+                         int> = 0>
+    inline void swap(variant &that) noexcept(
+        lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                  lib::is_nothrow_swappable<Ts>::value)...>::value) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <std::size_t I, typename V>
+    struct generic_get_impl {
+      constexpr generic_get_impl(int) {}
+
+      constexpr AUTO_REFREF operator()(V &&v) const
+        AUTO_REFREF_RETURN(
+            access::variant::get_alt<I>(lib::forward<V>(v)).value)
+    };
+
+    template <std::size_t I, typename V>
+    inline constexpr AUTO_REFREF generic_get(V &&v)
+      AUTO_REFREF_RETURN(generic_get_impl<I, V>(
+          holds_alternative<I>(v) ? 0 : (throw_bad_variant_access(), 0))(
+          lib::forward<V>(v)))
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr /* auto * */ AUTO generic_get_if(V *v) noexcept
+      AUTO_RETURN(v && holds_alternative<I>(*v)
+                      ? lib::addressof(access::variant::get_alt<I>(*v).value)
+                      : nullptr)
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs);
+#else
+    return lhs.index() == rhs.index() &&
+           (lhs.valueless_by_exception() ||
+            variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::not_equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs);
+#else
+    return lhs.index() != rhs.index() ||
+           (!lhs.valueless_by_exception() &&
+            variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::less;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less{}, lhs, rhs);
+#else
+    return !rhs.valueless_by_exception() &&
+           (lhs.valueless_by_exception() || lhs.index() < rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), less{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::greater;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater{}, lhs, rhs);
+#else
+    return !lhs.valueless_by_exception() &&
+           (rhs.valueless_by_exception() || lhs.index() > rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), greater{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::less_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs);
+#else
+    return lhs.valueless_by_exception() ||
+           (!rhs.valueless_by_exception() &&
+            (lhs.index() < rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::greater_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater_equal{}, lhs, rhs);
+#else
+    return rhs.valueless_by_exception() ||
+           (!lhs.valueless_by_exception() &&
+            (lhs.index() > rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(
+                  lhs.index(), greater_equal{}, lhs, rhs))));
+#endif
+  }
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+  namespace detail {
+
+    inline constexpr bool all(std::initializer_list<bool> bs) {
+      for (bool b : bs) {
+        if (!b) {
+          return false;
+        }
+      }
+      return true;
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr decltype(auto) visit(Visitor &&visitor, Vs &&... vs) {
+    return (detail::all({!vs.valueless_by_exception()...})
+                ? (void)0
+                : throw_bad_variant_access()),
+           detail::visitation::variant::visit_value(
+               lib::forward<Visitor>(visitor), lib::forward<Vs>(vs)...);
+  }
+#else
+  namespace detail {
+
+    template <std::size_t N>
+    inline constexpr bool all_impl(const lib::array<bool, N> &bs,
+                                   std::size_t idx) {
+      return idx >= N || (bs[idx] && all_impl(bs, idx + 1));
+    }
+
+    template <std::size_t N>
+    inline constexpr bool all(const lib::array<bool, N> &bs) {
+      return all_impl(bs, 0);
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr DECLTYPE_AUTO visit(Visitor &&visitor, Vs &&... vs)
+    DECLTYPE_AUTO_RETURN(
+        (detail::all(
+             lib::array<bool, sizeof...(Vs)>{{!vs.valueless_by_exception()...}})
+             ? (void)0
+             : throw_bad_variant_access()),
+        detail::visitation::variant::visit_value(lib::forward<Visitor>(visitor),
+                                                 lib::forward<Vs>(vs)...))
+#endif
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+  namespace detail {
+
+    template <typename T, typename...>
+    using enabled_type = T;
+
+    namespace hash {
+
+      template <typename H, typename K>
+      constexpr bool meets_requirements() {
+        return std::is_copy_constructible<H>::value &&
+               std::is_move_constructible<H>::value &&
+               lib::is_invocable_r<std::size_t, H, const K &>::value;
+      }
+
+      template <typename K>
+      constexpr bool is_enabled() {
+        using H = std::hash<K>;
+        return meets_requirements<H, K>() &&
+               std::is_default_constructible<H>::value &&
+               std::is_copy_assignable<H>::value &&
+               std::is_move_assignable<H>::value;
+      }
+
+    }  // namespace hash
+
+  }  // namespace detail
+
+#undef AUTO
+#undef AUTO_RETURN
+
+#undef AUTO_REFREF
+#undef AUTO_REFREF_RETURN
+
+#undef DECLTYPE_AUTO
+#undef DECLTYPE_AUTO_RETURN
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::detail::enabled_type<
+      mpark::variant<Ts...>,
+      mpark::lib::enable_if_t<mpark::lib::all<mpark::detail::hash::is_enabled<
+          mpark::lib::remove_const_t<Ts>>()...>::value>>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+#ifdef MPARK_GENERIC_LAMBDAS
+                    [](const auto &alt) {
+                      using alt_type = mpark::lib::decay_t<decltype(alt)>;
+                      using value_type = mpark::lib::remove_const_t<
+                          typename alt_type::value_type>;
+                      return hash<value_type>{}(alt.value);
+                    }
+#else
+                    hasher{}
+#endif
+                    ,
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+#ifndef MPARK_GENERIC_LAMBDAS
+    struct hasher {
+      template <typename Alt>
+      inline std::size_t operator()(const Alt &alt) const {
+        using alt_type = mpark::lib::decay_t<Alt>;
+        using value_type =
+            mpark::lib::remove_const_t<typename alt_type::value_type>;
+        return hash<value_type>{}(alt.value);
+      }
+    };
+#endif
+
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const noexcept {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/mpark-variant/v1.2.2/variant.hpp

@@ -0,0 +1,2416 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    T& emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    T& emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    variant_alternative<I, variant>& emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    variant_alternative<I, variant>& emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_CONFIG_HPP
+#define MPARK_CONFIG_HPP
+
+// MSVC 2015 Update 3.
+#if __cplusplus < 201103L && (!defined(_MSC_VER) || _MSC_FULL_VER < 190024215)
+#error "MPark.Variant requires C++11 support."
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#ifndef __has_include
+#define __has_include(x) 0
+#endif
+
+#ifndef __has_feature
+#define __has_feature(x) 0
+#endif
+
+#if __has_builtin(__builtin_addressof) || \
+    (defined(__GNUC__) && __GNUC__ >= 7) || defined(_MSC_VER)
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__builtin_unreachable)
+#define MPARK_BUILTIN_UNREACHABLE
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 201304
+#define MPARK_CPP14_CONSTEXPR
+#endif
+
+#if __has_feature(cxx_exceptions) || defined(__cpp_exceptions) || \
+    (defined(_MSC_VER) && defined(_CPPUNWIND))
+#define MPARK_EXCEPTIONS
+#endif
+
+#if defined(__cpp_generic_lambdas) || defined(_MSC_VER)
+#define MPARK_GENERIC_LAMBDAS
+#endif
+
+#if defined(__cpp_lib_integer_sequence)
+#define MPARK_INTEGER_SEQUENCE
+#endif
+
+#if defined(__cpp_return_type_deduction) || defined(_MSC_VER)
+#define MPARK_RETURN_TYPE_DEDUCTION
+#endif
+
+#if defined(__cpp_lib_transparent_operators) || defined(_MSC_VER)
+#define MPARK_TRANSPARENT_OPERATORS
+#endif
+
+#if defined(__cpp_variable_templates) || defined(_MSC_VER)
+#define MPARK_VARIABLE_TEMPLATES
+#endif
+
+#if !defined(__GLIBCXX__) || __has_include(<codecvt>)  // >= libstdc++-5
+#define MPARK_TRIVIALITY_TYPE_TRAITS
+#endif
+
+#endif  // MPARK_CONFIG_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+
+namespace mpark {
+
+  struct in_place_t { explicit in_place_t() = default; };
+
+  template <std::size_t I>
+  struct in_place_index_t { explicit in_place_index_t() = default; };
+
+  template <typename T>
+  struct in_place_type_t { explicit in_place_type_t() = default; };
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I> constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T> constexpr in_place_type_t<T> in_place_type{};
+#endif
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_LIB_HPP
+#define MPARK_LIB_HPP
+
+#include <memory>
+#include <functional>
+#include <type_traits>
+#include <utility>
+
+
+#define RETURN(...)                                          \
+  noexcept(noexcept(__VA_ARGS__)) -> decltype(__VA_ARGS__) { \
+    return __VA_ARGS__;                                      \
+  }
+
+namespace mpark {
+  namespace lib {
+    template <typename T>
+    struct identity { using type = T; };
+
+    inline namespace cpp14 {
+      template <typename T, std::size_t N>
+      struct array {
+        constexpr const T &operator[](std::size_t index) const {
+          return data[index];
+        }
+
+        T data[N == 0 ? 1 : N];
+      };
+
+      template <typename T>
+      using add_pointer_t = typename std::add_pointer<T>::type;
+
+      template <typename... Ts>
+      using common_type_t = typename std::common_type<Ts...>::type;
+
+      template <typename T>
+      using decay_t = typename std::decay<T>::type;
+
+      template <bool B, typename T = void>
+      using enable_if_t = typename std::enable_if<B, T>::type;
+
+      template <typename T>
+      using remove_const_t = typename std::remove_const<T>::type;
+
+      template <typename T>
+      using remove_reference_t = typename std::remove_reference<T>::type;
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &t) noexcept {
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &&t) noexcept {
+        static_assert(!std::is_lvalue_reference<T>::value,
+                      "can not forward an rvalue as an lvalue");
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr remove_reference_t<T> &&move(T &&t) noexcept {
+        return static_cast<remove_reference_t<T> &&>(t);
+      }
+
+#ifdef MPARK_INTEGER_SEQUENCE
+      using std::integer_sequence;
+      using std::index_sequence;
+      using std::make_index_sequence;
+      using std::index_sequence_for;
+#else
+      template <typename T, T... Is>
+      struct integer_sequence {
+        using value_type = T;
+        static constexpr std::size_t size() noexcept { return sizeof...(Is); }
+      };
+
+      template <std::size_t... Is>
+      using index_sequence = integer_sequence<std::size_t, Is...>;
+
+      template <typename Lhs, typename Rhs>
+      struct make_index_sequence_concat;
+
+      template <std::size_t... Lhs, std::size_t... Rhs>
+      struct make_index_sequence_concat<index_sequence<Lhs...>,
+                                        index_sequence<Rhs...>>
+          : identity<index_sequence<Lhs..., (sizeof...(Lhs) + Rhs)...>> {};
+
+      template <std::size_t N>
+      struct make_index_sequence_impl;
+
+      template <std::size_t N>
+      using make_index_sequence = typename make_index_sequence_impl<N>::type;
+
+      template <std::size_t N>
+      struct make_index_sequence_impl
+          : make_index_sequence_concat<make_index_sequence<N / 2>,
+                                       make_index_sequence<N - (N / 2)>> {};
+
+      template <>
+      struct make_index_sequence_impl<0> : identity<index_sequence<>> {};
+
+      template <>
+      struct make_index_sequence_impl<1> : identity<index_sequence<0>> {};
+
+      template <typename... Ts>
+      using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
+#endif
+
+      // <functional>
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using equal_to = std::equal_to<>;
+#else
+      struct equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) == lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using not_equal_to = std::not_equal_to<>;
+#else
+      struct not_equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) != lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less = std::less<>;
+#else
+      struct less {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) < lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater = std::greater<>;
+#else
+      struct greater {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) > lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less_equal = std::less_equal<>;
+#else
+      struct less_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) <= lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater_equal = std::greater_equal<>;
+#else
+      struct greater_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) >= lib::forward<Rhs>(rhs))
+      };
+#endif
+    }  // namespace cpp14
+
+    inline namespace cpp17 {
+
+      // <type_traits>
+      template <bool B>
+      using bool_constant = std::integral_constant<bool, B>;
+
+      template <typename...>
+      struct voider : identity<void> {};
+
+      template <typename... Ts>
+      using void_t = typename voider<Ts...>::type;
+
+      namespace detail {
+        namespace swappable {
+
+          using std::swap;
+
+          template <typename T>
+          struct is_swappable_impl {
+            private:
+            template <typename U,
+                      typename = decltype(swap(std::declval<U &>(),
+                                               std::declval<U &>()))>
+            inline static std::true_type test(int);
+
+            template <typename U>
+            inline static std::false_type test(...);
+
+            public:
+            using type = decltype(test<T>(0));
+          };
+
+          template <typename T>
+          using is_swappable = typename is_swappable_impl<T>::type;
+
+          template <typename T, bool = is_swappable<T>::value>
+          struct is_nothrow_swappable {
+            static constexpr bool value =
+                noexcept(swap(std::declval<T &>(), std::declval<T &>()));
+          };
+
+          template <typename T>
+          struct is_nothrow_swappable<T, false> : std::false_type {};
+
+        }  // namespace swappable
+      }  // namespace detail
+
+      template <typename T>
+      using is_swappable = detail::swappable::is_swappable<T>;
+
+      template <typename T>
+      using is_nothrow_swappable = detail::swappable::is_nothrow_swappable<T>;
+
+      // <functional>
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename F, typename... As>
+      inline constexpr auto invoke(F &&f, As &&... as)
+          RETURN(lib::forward<F>(f)(lib::forward<As>(as)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      template <typename B, typename T, typename D>
+      inline constexpr auto invoke(T B::*pmv, D &&d)
+          RETURN(lib::forward<D>(d).*pmv)
+
+      template <typename Pmv, typename Ptr>
+      inline constexpr auto invoke(Pmv pmv, Ptr &&ptr)
+          RETURN((*lib::forward<Ptr>(ptr)).*pmv)
+
+      template <typename B, typename T, typename D, typename... As>
+      inline constexpr auto invoke(T B::*pmf, D &&d, As &&... as)
+          RETURN((lib::forward<D>(d).*pmf)(lib::forward<As>(as)...))
+
+      template <typename Pmf, typename Ptr, typename... As>
+      inline constexpr auto invoke(Pmf pmf, Ptr &&ptr, As &&... as)
+          RETURN(((*lib::forward<Ptr>(ptr)).*pmf)(lib::forward<As>(as)...))
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct invoke_result {};
+
+        template <typename F, typename... Args>
+        struct invoke_result<void_t<decltype(lib::invoke(
+                                 std::declval<F>(), std::declval<Args>()...))>,
+                             F,
+                             Args...>
+            : identity<decltype(
+                  lib::invoke(std::declval<F>(), std::declval<Args>()...))> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using invoke_result = detail::invoke_result<void, F, Args...>;
+
+      template <typename F, typename... Args>
+      using invoke_result_t = typename invoke_result<F, Args...>::type;
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct is_invocable : std::false_type {};
+
+        template <typename F, typename... Args>
+        struct is_invocable<void_t<invoke_result_t<F, Args...>>, F, Args...>
+            : std::true_type {};
+
+        template <typename Void, typename, typename, typename...>
+        struct is_invocable_r : std::false_type {};
+
+        template <typename R, typename F, typename... Args>
+        struct is_invocable_r<void_t<invoke_result_t<F, Args...>>,
+                              R,
+                              F,
+                              Args...>
+            : std::is_convertible<invoke_result_t<F, Args...>, R> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using is_invocable = detail::is_invocable<void, F, Args...>;
+
+      template <typename R, typename F, typename... Args>
+      using is_invocable_r = detail::is_invocable_r<void, R, F, Args...>;
+
+      // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return __builtin_addressof(arg);
+      }
+#else
+      namespace detail {
+
+        namespace has_addressof_impl {
+
+          struct fail;
+
+          template <typename T>
+          inline fail operator&(T &&);
+
+          template <typename T>
+          inline static constexpr bool impl() {
+            return (std::is_class<T>::value || std::is_union<T>::value) &&
+                   !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+          }
+
+        }  // namespace has_addressof_impl
+
+        template <typename T>
+        using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::true_type) {
+          return std::addressof(arg);
+        }
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::false_type) {
+          return &arg;
+        }
+
+      }  // namespace detail
+
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return detail::addressof(arg, detail::has_addressof<T>{});
+      }
+#endif
+
+      template <typename T>
+      inline constexpr T *addressof(const T &&) = delete;
+
+    }  // namespace cpp17
+
+    template <typename T>
+    struct remove_all_extents : identity<T> {};
+
+    template <typename T, std::size_t N>
+    struct remove_all_extents<array<T, N>> : remove_all_extents<T> {};
+
+    template <typename T>
+    using remove_all_extents_t = typename remove_all_extents<T>::type;
+
+    template <std::size_t N>
+    using size_constant = std::integral_constant<std::size_t, N>;
+
+    template <bool... Bs>
+    using bool_sequence = integer_sequence<bool, Bs...>;
+
+    template <std::size_t I, typename T>
+    struct indexed_type : size_constant<I>, identity<T> {};
+
+    template <bool... Bs>
+    using all =
+        std::is_same<bool_sequence<true, Bs...>, bool_sequence<Bs..., true>>;
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+    template <std::size_t I, typename... Ts>
+    struct type_pack_element_impl {
+      private:
+      template <typename>
+      struct set;
+
+      template <std::size_t... Is>
+      struct set<index_sequence<Is...>> : indexed_type<Is, Ts>... {};
+
+      template <typename T>
+      inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+      inline static std::enable_if<false> impl(...);
+
+      public:
+      using type = decltype(impl(set<index_sequence_for<Ts...>>{}));
+    };
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+#ifdef MPARK_TRIVIALITY_TYPE_TRAITS
+    using std::is_trivially_copy_constructible;
+    using std::is_trivially_move_constructible;
+    using std::is_trivially_copy_assignable;
+    using std::is_trivially_move_assignable;
+#else
+    template <typename T>
+    struct is_trivially_copy_constructible
+        : bool_constant<
+              std::is_copy_constructible<T>::value && __has_trivial_copy(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_constructible : bool_constant<__is_trivial(T)> {};
+
+    template <typename T>
+    struct is_trivially_copy_assignable
+        : bool_constant<
+              std::is_copy_assignable<T>::value && __has_trivial_assign(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_assignable : bool_constant<__is_trivial(T)> {};
+#endif
+
+  }  // namespace lib
+}  // namespace mpark
+
+#undef RETURN
+
+#endif  // MPARK_LIB_HPP
+
+
+namespace mpark {
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+
+#define AUTO auto
+#define AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto &&
+#define AUTO_REFREF_RETURN(...) { return __VA_ARGS__; }
+
+#define DECLTYPE_AUTO decltype(auto)
+#define DECLTYPE_AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#else
+
+#define AUTO auto
+#define AUTO_RETURN(...) \
+  -> lib::decay_t<decltype(__VA_ARGS__)> { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto
+#define AUTO_REFREF_RETURN(...)                                           \
+  -> decltype((__VA_ARGS__)) {                                            \
+    static_assert(std::is_reference<decltype((__VA_ARGS__))>::value, ""); \
+    return __VA_ARGS__;                                                   \
+  }
+
+#define DECLTYPE_AUTO auto
+#define DECLTYPE_AUTO_RETURN(...) \
+  -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+#endif
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept { return "bad_variant_access"; }
+  };
+
+  [[noreturn]] inline void throw_bad_variant_access() {
+#ifdef MPARK_EXCEPTIONS
+    throw bad_variant_access{};
+#else
+    std::terminate();
+#ifdef MPARK_BUILTIN_UNREACHABLE
+    __builtin_unreachable();
+#endif
+#endif
+  }
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+#endif
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>> : lib::size_constant<sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "Index out of bounds in std::variant_alternative<>");
+    using type = lib::type_pack_element_t<I, Ts...>;
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr lib::array<bool, sizeof...(Ts)> matches = {
+          {std::is_same<T, Ts>::value...}
+      };
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t) {
+      return result;
+    }
+
+    template <typename... Bs>
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t idx,
+                                                 bool b,
+                                                 Bs... bs) {
+      return b ? (result != not_found ? ambiguous
+                                      : find_index_impl(idx, idx + 1, bs...))
+               : find_index_impl(result, idx + 1, bs...);
+    }
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      return find_index_impl(not_found, 0, std::is_same<T, Ts>::value...);
+    }
+#endif
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        lib::enable_if_t<I != not_found && I != ambiguous,
+                         lib::size_constant<I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : lib::size_constant<I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... traits) {
+      Trait result = Trait::TriviallyAvailable;
+      for (Trait t : {traits...}) {
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr Trait common_trait_impl(Trait result) { return result; }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait_impl(Trait result,
+                                             Trait t,
+                                             Traits... ts) {
+      return static_cast<int>(t) > static_cast<int>(result)
+                 ? common_trait_impl(t, ts...)
+                 : common_trait_impl(result, ts...);
+    }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... ts) {
+      return common_trait_impl(Trait::TriviallyAvailable, ts...);
+    }
+#endif
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_copy_constructible,
+                             std::is_copy_constructible>()...);
+
+      static constexpr Trait move_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_move_constructible,
+                             std::is_move_constructible>()...);
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait(copy_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_copy_assignable,
+                             std::is_copy_assignable>()...);
+
+      static constexpr Trait move_assignable_trait =
+          common_trait(move_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_move_assignable,
+                             std::is_move_assignable>()...);
+
+      static constexpr Trait destructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_destructible,
+                             std::is_destructible>()...);
+    };
+
+    namespace access {
+
+      struct recursive_union {
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return lib::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(lib::forward<V>(v).tail_, in_place_index_t<I - 1>{});
+        }
+#else
+        template <std::size_t I, bool Dummy = true>
+        struct get_alt_impl {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(get_alt_impl<I - 1>{}(lib::forward<V>(v).tail_))
+        };
+
+        template <bool Dummy>
+        struct get_alt_impl<0, Dummy> {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(lib::forward<V>(v).head_)
+        };
+
+        template <typename V, std::size_t I>
+        inline static constexpr AUTO_REFREF get_alt(V &&v, in_place_index_t<I>)
+          AUTO_REFREF_RETURN(get_alt_impl<I>{}(lib::forward<V>(v)))
+#endif
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              data(lib::forward<V>(v)), in_place_index_t<I>{}))
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(base::get_alt<I>(lib::forward<V>(v).impl_))
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+      struct base {
+        private:
+        template <typename T>
+        inline static constexpr const T &at(const T &elem) {
+          return elem;
+        }
+
+        template <typename T, std::size_t N, typename... Is>
+        inline static constexpr const lib::remove_all_extents_t<T> &at(
+            const lib::array<T, N> &elems, std::size_t i, Is... is) {
+          return at(elems[i], is...);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr int visit_visitor_return_type_check() {
+          static_assert(lib::all<std::is_same<F, Fs>::value...>::value,
+                        "`mpark::visit` requires the visitor to have a single "
+                        "return type.");
+          return 0;
+        }
+
+        template <typename... Fs>
+        inline static constexpr lib::array<
+            lib::common_type_t<lib::decay_t<Fs>...>,
+            sizeof...(Fs)>
+        make_farray(Fs &&... fs) {
+          using result = lib::array<lib::common_type_t<lib::decay_t<Fs>...>,
+                                    sizeof...(Fs)>;
+          return visit_visitor_return_type_check<lib::decay_t<Fs>...>(),
+                 result{{lib::forward<Fs>(fs)...}};
+        }
+
+        template <std::size_t... Is>
+        struct dispatcher {
+          template <typename F, typename... Vs>
+          struct impl {
+            inline static constexpr DECLTYPE_AUTO dispatch(F f, Vs... vs)
+              DECLTYPE_AUTO_RETURN(lib::invoke(
+                  static_cast<F>(f),
+                  access::base::get_alt<Is>(static_cast<Vs>(vs))...))
+          };
+        };
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_dispatch(lib::index_sequence<Is...>)
+          AUTO_RETURN(&dispatcher<Is...>::template impl<F, Vs...>::dispatch)
+
+        template <std::size_t I, typename F, typename... Vs>
+        inline static constexpr AUTO make_fdiagonal_impl()
+          AUTO_RETURN(make_dispatch<F, Vs...>(
+              lib::index_sequence<lib::indexed_type<I, Vs>::value...>{}))
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_fdiagonal_impl(
+            lib::index_sequence<Is...>)
+          AUTO_RETURN(make_farray(make_fdiagonal_impl<Is, F, Vs...>()...))
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr /* auto * */ auto make_fdiagonal()
+            -> decltype(make_fdiagonal_impl<F, V, Vs...>(
+                lib::make_index_sequence<lib::decay_t<V>::size()>{})) {
+          static_assert(lib::all<(lib::decay_t<V>::size() ==
+                                  lib::decay_t<Vs>::size())...>::value,
+                        "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>(
+              lib::make_index_sequence<lib::decay_t<V>::size()>{});
+        }
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr auto make_fmatrix_impl(
+            lib::index_sequence<Is...> is) {
+          return make_dispatch<F, Vs...>(is);
+        }
+
+        template <typename F,
+                  typename... Vs,
+                  std::size_t... Is,
+                  std::size_t... Js,
+                  typename... Ls>
+        inline static constexpr auto make_fmatrix_impl(
+            lib::index_sequence<Is...>, lib::index_sequence<Js...>, Ls... ls) {
+          return make_farray(make_fmatrix_impl<F, Vs...>(
+              lib::index_sequence<Is..., Js>{}, ls...)...);
+        }
+
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>(
+              lib::index_sequence<>{},
+              lib::make_index_sequence<lib::decay_t<Vs>::size()>{}...);
+        }
+#else
+        template <typename F, typename... Vs>
+        struct make_fmatrix_impl {
+          template <typename...>
+          struct impl;
+
+          template <std::size_t... Is>
+          struct impl<lib::index_sequence<Is...>> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(
+                  make_dispatch<F, Vs...>(lib::index_sequence<Is...>{}))
+          };
+
+          template <std::size_t... Is, std::size_t... Js, typename... Ls>
+          struct impl<lib::index_sequence<Is...>,
+                      lib::index_sequence<Js...>,
+                      Ls...> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(make_farray(
+                  impl<lib::index_sequence<Is..., Js>, Ls...>{}()...))
+          };
+        };
+
+        template <typename F, typename... Vs>
+        inline static constexpr AUTO make_fmatrix()
+          AUTO_RETURN(
+              typename make_fmatrix_impl<F, Vs...>::template impl<
+                  lib::index_sequence<>,
+                  lib::make_index_sequence<lib::decay_t<Vs>::size()>...>{}())
+#endif
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              at(make_fdiagonal<Visitor &&,
+                                decltype(as_base(lib::forward<Vs>(vs)))...>(),
+                 index)(lib::forward<Visitor>(visitor),
+                        as_base(lib::forward<Vs>(vs))...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              at(make_fmatrix<Visitor &&,
+                              decltype(as_base(lib::forward<Vs>(vs)))...>(),
+                 vs.index()...)(lib::forward<Visitor>(visitor),
+                                as_base(lib::forward<Vs>(vs))...))
+      };
+
+      struct variant {
+        private:
+        template <typename Visitor, typename... Values>
+        struct visit_exhaustive_visitor_check {
+          static_assert(
+              lib::is_invocable<Visitor, Values...>::value,
+              "`mpark::visit` requires the visitor to be exhaustive.");
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+          inline constexpr DECLTYPE_AUTO operator()(Visitor &&visitor,
+                                                    Values &&... values) const
+            DECLTYPE_AUTO_RETURN(lib::invoke(lib::forward<Visitor>(visitor),
+                                             lib::forward<Values>(values)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        };
+
+        template <typename Visitor>
+        struct value_visitor {
+          Visitor &&visitor_;
+
+          template <typename... Alts>
+          inline constexpr DECLTYPE_AUTO operator()(Alts &&... alts) const
+            DECLTYPE_AUTO_RETURN(
+                visit_exhaustive_visitor_check<
+                    Visitor,
+                    decltype((lib::forward<Alts>(alts).value))...>{}(
+                    lib::forward<Visitor>(visitor_),
+                    lib::forward<Alts>(alts).value...))
+        };
+
+        template <typename Visitor>
+        inline static constexpr AUTO make_value_visitor(Visitor &&visitor)
+          AUTO_RETURN(value_visitor<Visitor>{lib::forward<Visitor>(visitor)})
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              base::visit_alt_at(index,
+                                 lib::forward<Visitor>(visitor),
+                                 lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(base::visit_alt(lib::forward<Visitor>(visitor),
+                                               lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value_at(std::size_t index,
+                                                             Visitor &&visitor,
+                                                             Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt_at(index,
+                           make_value_visitor(lib::forward<Visitor>(visitor)),
+                           lib::forward<Vs>(vs)...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value(Visitor &&visitor,
+                                                          Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt(make_value_visitor(lib::forward<Visitor>(visitor)),
+                        lib::forward<Vs>(vs)...))
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value(lib::forward<Args>(args)...) {}
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      T value;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)      \
+  template <std::size_t Index, typename T, typename... Ts>                 \
+  union recursive_union<destructible_trait, Index, T, Ts...> {             \
+    public:                                                                \
+    inline explicit constexpr recursive_union(valueless_t) noexcept        \
+        : dummy_{} {}                                                      \
+                                                                           \
+    template <typename... Args>                                            \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,         \
+                                              Args &&... args)             \
+        : head_(in_place_t{}, lib::forward<Args>(args)...) {}              \
+                                                                           \
+    template <std::size_t I, typename... Args>                             \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,         \
+                                              Args &&... args)             \
+        : tail_(in_place_index_t<I - 1>{}, lib::forward<Args>(args)...) {} \
+                                                                           \
+    recursive_union(const recursive_union &) = default;                    \
+    recursive_union(recursive_union &&) = default;                         \
+                                                                           \
+    destructor                                                             \
+                                                                           \
+    recursive_union &operator=(const recursive_union &) = default;         \
+    recursive_union &operator=(recursive_union &&) = default;              \
+                                                                           \
+    private:                                                               \
+    char dummy_;                                                           \
+    alt<Index, T> head_;                                                   \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;           \
+                                                                           \
+    friend struct access::recursive_union;                                 \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef MPARK_VARIANT_RECURSIVE_UNION
+
+    using index_t = unsigned int;
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(static_cast<index_t>(-1)) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index_t<I>{}, lib::forward<Args>(args)...),
+            index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index_ == static_cast<index_t>(-1);
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return valueless_by_exception() ? variant_npos : index_;
+      }
+
+      protected:
+      using data_t = recursive_union<DestructibleTrait, 0, Ts...>;
+
+      friend inline constexpr base &as_base(base &b) { return b; }
+      friend inline constexpr const base &as_base(const base &b) { return b; }
+      friend inline constexpr base &&as_base(base &&b) { return lib::move(b); }
+      friend inline constexpr const base &&as_base(const base &&b) { return lib::move(b); }
+
+      friend inline constexpr data_t &data(base &b) { return b.data_; }
+      friend inline constexpr const data_t &data(const base &b) { return b.data_; }
+      friend inline constexpr data_t &&data(base &&b) { return lib::move(b).data_; }
+      friend inline constexpr const data_t &&data(const base &&b) { return lib::move(b).data_; }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      data_t data_;
+      index_t index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    struct dtor {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename Alt>
+      inline void operator()(Alt &alt) const noexcept { alt.~Alt(); }
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+    };
+
+#if defined(_MSC_VER) && _MSC_VER < 1910
+#define INHERITING_CTOR(type, base)               \
+  template <typename... Args>                     \
+  inline explicit constexpr type(Args &&... args) \
+      : base(lib::forward<Args>(args)...) {}
+#else
+#define INHERITING_CTOR(type, base) using base::base;
+#endif
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    INHERITING_CTOR(destructor, super)                                    \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    destroy                                                               \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::TriviallyAvailable,
+        ~destructor() = default;,
+        inline void destroy() noexcept {
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Available,
+        ~destructor() { destroy(); },
+        inline void destroy() noexcept {
+          if (!this->valueless_by_exception()) {
+            visitation::base::visit_alt(dtor{}, *this);
+          }
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Unavailable,
+        ~destructor() = delete;,
+        inline void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      INHERITING_CTOR(constructor, super)
+      using super::operator=;
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct ctor {
+        template <typename LhsAlt, typename RhsAlt>
+        inline void operator()(LhsAlt &lhs_alt, RhsAlt &&rhs_alt) const {
+          constructor::construct_alt(lhs_alt,
+                                     lib::forward<RhsAlt>(rhs_alt).value);
+        }
+      };
+#endif
+
+      template <std::size_t I, typename T, typename... Args>
+      inline static T &construct_alt(alt<I, T> &a, Args &&... args) {
+        ::new (static_cast<void *>(lib::addressof(a)))
+            alt<I, T>(in_place_t{}, lib::forward<Args>(args)...);
+        return a.value;
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::base::visit_alt_at(
+              rhs.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt, lib::forward<decltype(rhs_alt)>(rhs_alt).value);
+              }
+#else
+              ctor{}
+#endif
+              ,
+              lhs,
+              lib::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index_;
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(move_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            lib::all<std::is_nothrow_move_constructible<Ts>::value...>::value)
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, lib::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(copy_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      INHERITING_CTOR(assignment, super)
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline /* auto & */ auto emplace(Args &&... args)
+          -> decltype(this->construct_alt(access::base::get_alt<I>(*this),
+                                          lib::forward<Args>(args)...)) {
+        this->destroy();
+        auto &result = this->construct_alt(access::base::get_alt<I>(*this),
+                                           lib::forward<Args>(args)...);
+        this->index_ = I;
+        return result;
+      }
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      template <typename That>
+      struct assigner {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &&that_alt) const {
+          self->assign_alt(this_alt, lib::forward<ThatAlt>(that_alt).value);
+        }
+        assignment *self;
+      };
+#endif
+
+      template <std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a, Arg &&arg) {
+        if (this->index() == I) {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+          a.value = lib::forward<Arg>(arg);
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(lib::forward<Arg>(arg_));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(T(lib::forward<Arg>(arg_)));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, lib::forward<Arg>(arg)};
+          impl(lib::bool_constant<
+                   std::is_nothrow_constructible<T, Arg>::value ||
+                   !std::is_nothrow_move_constructible<T>::value>{});
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::base::visit_alt_at(
+              that.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt, lib::forward<decltype(that_alt)>(that_alt).value);
+              }
+#else
+              assigner<That>{this}
+#endif
+              ,
+              *this,
+              lib::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(move_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                      std::is_nothrow_move_assignable<Ts>::value)...>::value) {
+          this->generic_assign(lib::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(copy_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      INHERITING_CTOR(impl, super)
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         lib::forward<Arg>(arg));
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::base::visit_alt_at(this->index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+                                         [](auto &this_alt, auto &that_alt) {
+                                           using std::swap;
+                                           swap(this_alt.value,
+                                                that_alt.value);
+                                         }
+#else
+                                         swapper{}
+#endif
+                                         ,
+                                         *this,
+                                         that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(lib::move(*rhs));
+#ifdef MPARK_EXCEPTIONS
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarantee.
+          try {
+            this->generic_construct(*rhs, lib::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, lib::move(tmp));
+            }
+            throw;
+          }
+#else
+          this->generic_construct(*rhs, lib::move(*lhs));
+#endif
+          this->generic_construct(*lhs, lib::move(tmp));
+        }
+      }
+
+      private:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct swapper {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &that_alt) const {
+          using std::swap;
+          swap(this_alt.value, that_alt.value);
+        }
+      };
+#endif
+
+      inline constexpr bool move_nothrow() const {
+        return this->valueless_by_exception() ||
+               lib::array<bool, sizeof...(Ts)>{
+                   {std::is_nothrow_move_constructible<Ts>::value...}
+               }[this->index()];
+      }
+    };
+
+    template <std::size_t I, typename T>
+    struct overload_leaf {
+      using F = lib::size_constant<I> (*)(T);
+      operator F() const { return nullptr; }
+    };
+
+    template <typename... Ts>
+    struct overload_impl {
+      private:
+      template <typename>
+      struct impl;
+
+      template <std::size_t... Is>
+      struct impl<lib::index_sequence<Is...>> : overload_leaf<Is, Ts>... {};
+
+      public:
+      using type = impl<lib::index_sequence_for<Ts...>>;
+    };
+
+    template <typename... Ts>
+    using overload = typename overload_impl<Ts...>::type;
+
+    template <typename T, typename... Ts>
+    using best_match = lib::invoke_result_t<overload<Ts...>, T &&>;
+
+    template <typename T>
+    struct is_in_place_index : std::false_type {};
+
+    template <std::size_t I>
+    struct is_in_place_index<in_place_index_t<I>> : std::true_type {};
+
+    template <typename T>
+    struct is_in_place_type : std::false_type {};
+
+    template <typename T>
+    struct is_in_place_type<in_place_type_t<T>> : std::true_type {};
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(lib::all<!std::is_array<Ts>::value...>::value,
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(lib::all<!std::is_reference<Ts>::value...>::value,
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(lib::all<!std::is_void<Ts>::value...>::value,
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = lib::type_pack_element_t<0, Ts...>,
+        lib::enable_if_t<std::is_default_constructible<Front>::value, int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index_t<0>{}) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <
+        typename Arg,
+        typename Decayed = lib::decay_t<Arg>,
+        lib::enable_if_t<!std::is_same<Decayed, variant>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_index<Decayed>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_type<Decayed>::value, int> = 0,
+        std::size_t I = detail::best_match<Arg, Ts...>::value,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Arg>::value, int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              lib::enable_if_t<!std::is_same<lib::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              std::size_t I = detail::best_match<Arg, Ts...>::value,
+              typename T = lib::type_pack_element_t<I, Ts...>,
+              lib::enable_if_t<(std::is_assignable<T &, Arg>::value &&
+                                std::is_constructible<T, Arg>::value),
+                               int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(lib::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <
+        bool Dummy = true,
+        lib::enable_if_t<lib::all<Dummy,
+                                  (std::is_move_constructible<Ts>::value &&
+                                   lib::is_swappable<Ts>::value)...>::value,
+                         int> = 0>
+    inline void swap(variant &that) noexcept(
+        lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                  lib::is_nothrow_swappable<Ts>::value)...>::value) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <std::size_t I, typename V>
+    struct generic_get_impl {
+      constexpr generic_get_impl(int) {}
+
+      constexpr AUTO_REFREF operator()(V &&v) const
+        AUTO_REFREF_RETURN(
+            access::variant::get_alt<I>(lib::forward<V>(v)).value)
+    };
+
+    template <std::size_t I, typename V>
+    inline constexpr AUTO_REFREF generic_get(V &&v)
+      AUTO_REFREF_RETURN(generic_get_impl<I, V>(
+          holds_alternative<I>(v) ? 0 : (throw_bad_variant_access(), 0))(
+          lib::forward<V>(v)))
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr /* auto * */ AUTO generic_get_if(V *v) noexcept
+      AUTO_RETURN(v && holds_alternative<I>(*v)
+                      ? lib::addressof(access::variant::get_alt<I>(*v).value)
+                      : nullptr)
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs);
+#else
+    return lhs.index() == rhs.index() &&
+           (lhs.valueless_by_exception() ||
+            variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::not_equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs);
+#else
+    return lhs.index() != rhs.index() ||
+           (!lhs.valueless_by_exception() &&
+            variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::less;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less{}, lhs, rhs);
+#else
+    return !rhs.valueless_by_exception() &&
+           (lhs.valueless_by_exception() || lhs.index() < rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), less{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::greater;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater{}, lhs, rhs);
+#else
+    return !lhs.valueless_by_exception() &&
+           (rhs.valueless_by_exception() || lhs.index() > rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), greater{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::less_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs);
+#else
+    return lhs.valueless_by_exception() ||
+           (!rhs.valueless_by_exception() &&
+            (lhs.index() < rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::greater_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater_equal{}, lhs, rhs);
+#else
+    return rhs.valueless_by_exception() ||
+           (!lhs.valueless_by_exception() &&
+            (lhs.index() > rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(
+                  lhs.index(), greater_equal{}, lhs, rhs))));
+#endif
+  }
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+  namespace detail {
+
+    inline constexpr bool all(std::initializer_list<bool> bs) {
+      for (bool b : bs) {
+        if (!b) {
+          return false;
+        }
+      }
+      return true;
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr decltype(auto) visit(Visitor &&visitor, Vs &&... vs) {
+    return (detail::all({!vs.valueless_by_exception()...})
+                ? (void)0
+                : throw_bad_variant_access()),
+           detail::visitation::variant::visit_value(
+               lib::forward<Visitor>(visitor), lib::forward<Vs>(vs)...);
+  }
+#else
+  namespace detail {
+
+    template <std::size_t N>
+    inline constexpr bool all_impl(const lib::array<bool, N> &bs,
+                                   std::size_t idx) {
+      return idx >= N || (bs[idx] && all_impl(bs, idx + 1));
+    }
+
+    template <std::size_t N>
+    inline constexpr bool all(const lib::array<bool, N> &bs) {
+      return all_impl(bs, 0);
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr DECLTYPE_AUTO visit(Visitor &&visitor, Vs &&... vs)
+    DECLTYPE_AUTO_RETURN(
+        (detail::all(
+             lib::array<bool, sizeof...(Vs)>{{!vs.valueless_by_exception()...}})
+             ? (void)0
+             : throw_bad_variant_access()),
+        detail::visitation::variant::visit_value(lib::forward<Visitor>(visitor),
+                                                 lib::forward<Vs>(vs)...))
+#endif
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+  namespace detail {
+
+    template <typename T, typename...>
+    using enabled_type = T;
+
+    namespace hash {
+
+      template <typename H, typename K>
+      constexpr bool meets_requirements() {
+        return std::is_copy_constructible<H>::value &&
+               std::is_move_constructible<H>::value &&
+               lib::is_invocable_r<std::size_t, H, const K &>::value;
+      }
+
+      template <typename K>
+      constexpr bool is_enabled() {
+        using H = std::hash<K>;
+        return meets_requirements<H, K>() &&
+               std::is_default_constructible<H>::value &&
+               std::is_copy_assignable<H>::value &&
+               std::is_move_assignable<H>::value;
+      }
+
+    }  // namespace hash
+
+  }  // namespace detail
+
+#undef AUTO
+#undef AUTO_RETURN
+
+#undef AUTO_REFREF
+#undef AUTO_REFREF_RETURN
+
+#undef DECLTYPE_AUTO
+#undef DECLTYPE_AUTO_RETURN
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::detail::enabled_type<
+      mpark::variant<Ts...>,
+      mpark::lib::enable_if_t<mpark::lib::all<mpark::detail::hash::is_enabled<
+          mpark::lib::remove_const_t<Ts>>()...>::value>>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+#ifdef MPARK_GENERIC_LAMBDAS
+                    [](const auto &alt) {
+                      using alt_type = mpark::lib::decay_t<decltype(alt)>;
+                      using value_type = mpark::lib::remove_const_t<
+                          typename alt_type::value_type>;
+                      return hash<value_type>{}(alt.value);
+                    }
+#else
+                    hasher{}
+#endif
+                    ,
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+#ifndef MPARK_GENERIC_LAMBDAS
+    struct hasher {
+      template <typename Alt>
+      inline std::size_t operator()(const Alt &alt) const {
+        using alt_type = mpark::lib::decay_t<Alt>;
+        using value_type =
+            mpark::lib::remove_const_t<typename alt_type::value_type>;
+        return hash<value_type>{}(alt.value);
+      }
+    };
+#endif
+
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const noexcept {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/mpark-variant/v1.3.0/variant.hpp

@@ -0,0 +1,2457 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    T& emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    T& emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    variant_alternative<I, variant>& emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    variant_alternative<I, variant>& emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_CONFIG_HPP
+#define MPARK_CONFIG_HPP
+
+// MSVC 2015 Update 3.
+#if __cplusplus < 201103L && (!defined(_MSC_VER) || _MSC_FULL_VER < 190024210)
+#error "MPark.Variant requires C++11 support."
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#ifndef __has_include
+#define __has_include(x) 0
+#endif
+
+#ifndef __has_feature
+#define __has_feature(x) 0
+#endif
+
+#if __has_builtin(__builtin_addressof) || \
+    (defined(__GNUC__) && __GNUC__ >= 7) || defined(_MSC_VER)
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__builtin_unreachable)
+#define MPARK_BUILTIN_UNREACHABLE
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 201304
+#define MPARK_CPP14_CONSTEXPR
+#endif
+
+#if __has_feature(cxx_exceptions) || defined(__cpp_exceptions) || \
+    (defined(_MSC_VER) && defined(_CPPUNWIND))
+#define MPARK_EXCEPTIONS
+#endif
+
+#if defined(__cpp_generic_lambdas) || defined(_MSC_VER)
+#define MPARK_GENERIC_LAMBDAS
+#endif
+
+#if defined(__cpp_lib_integer_sequence)
+#define MPARK_INTEGER_SEQUENCE
+#endif
+
+#if defined(__cpp_return_type_deduction) || defined(_MSC_VER)
+#define MPARK_RETURN_TYPE_DEDUCTION
+#endif
+
+#if defined(__cpp_lib_transparent_operators) || defined(_MSC_VER)
+#define MPARK_TRANSPARENT_OPERATORS
+#endif
+
+#if defined(__cpp_variable_templates) || defined(_MSC_VER)
+#define MPARK_VARIABLE_TEMPLATES
+#endif
+
+#if !defined(__GLIBCXX__) || __has_include(<codecvt>)  // >= libstdc++-5
+#define MPARK_TRIVIALITY_TYPE_TRAITS
+#endif
+
+#endif  // MPARK_CONFIG_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+
+namespace mpark {
+
+  struct in_place_t { explicit in_place_t() = default; };
+
+  template <std::size_t I>
+  struct in_place_index_t { explicit in_place_index_t() = default; };
+
+  template <typename T>
+  struct in_place_type_t { explicit in_place_type_t() = default; };
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I> constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T> constexpr in_place_type_t<T> in_place_type{};
+#endif
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_LIB_HPP
+#define MPARK_LIB_HPP
+
+#include <memory>
+#include <functional>
+#include <type_traits>
+#include <utility>
+
+
+#define RETURN(...)                                          \
+  noexcept(noexcept(__VA_ARGS__)) -> decltype(__VA_ARGS__) { \
+    return __VA_ARGS__;                                      \
+  }
+
+namespace mpark {
+  namespace lib {
+    template <typename T>
+    struct identity { using type = T; };
+
+    inline namespace cpp14 {
+      template <typename T, std::size_t N>
+      struct array {
+        constexpr const T &operator[](std::size_t index) const {
+          return data[index];
+        }
+
+        T data[N == 0 ? 1 : N];
+      };
+
+      template <typename T>
+      using add_pointer_t = typename std::add_pointer<T>::type;
+
+      template <typename... Ts>
+      using common_type_t = typename std::common_type<Ts...>::type;
+
+      template <typename T>
+      using decay_t = typename std::decay<T>::type;
+
+      template <bool B, typename T = void>
+      using enable_if_t = typename std::enable_if<B, T>::type;
+
+      template <typename T>
+      using remove_const_t = typename std::remove_const<T>::type;
+
+      template <typename T>
+      using remove_reference_t = typename std::remove_reference<T>::type;
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &t) noexcept {
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &&t) noexcept {
+        static_assert(!std::is_lvalue_reference<T>::value,
+                      "can not forward an rvalue as an lvalue");
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr remove_reference_t<T> &&move(T &&t) noexcept {
+        return static_cast<remove_reference_t<T> &&>(t);
+      }
+
+#ifdef MPARK_INTEGER_SEQUENCE
+      using std::integer_sequence;
+      using std::index_sequence;
+      using std::make_index_sequence;
+      using std::index_sequence_for;
+#else
+      template <typename T, T... Is>
+      struct integer_sequence {
+        using value_type = T;
+        static constexpr std::size_t size() noexcept { return sizeof...(Is); }
+      };
+
+      template <std::size_t... Is>
+      using index_sequence = integer_sequence<std::size_t, Is...>;
+
+      template <typename Lhs, typename Rhs>
+      struct make_index_sequence_concat;
+
+      template <std::size_t... Lhs, std::size_t... Rhs>
+      struct make_index_sequence_concat<index_sequence<Lhs...>,
+                                        index_sequence<Rhs...>>
+          : identity<index_sequence<Lhs..., (sizeof...(Lhs) + Rhs)...>> {};
+
+      template <std::size_t N>
+      struct make_index_sequence_impl;
+
+      template <std::size_t N>
+      using make_index_sequence = typename make_index_sequence_impl<N>::type;
+
+      template <std::size_t N>
+      struct make_index_sequence_impl
+          : make_index_sequence_concat<make_index_sequence<N / 2>,
+                                       make_index_sequence<N - (N / 2)>> {};
+
+      template <>
+      struct make_index_sequence_impl<0> : identity<index_sequence<>> {};
+
+      template <>
+      struct make_index_sequence_impl<1> : identity<index_sequence<0>> {};
+
+      template <typename... Ts>
+      using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
+#endif
+
+      // <functional>
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using equal_to = std::equal_to<>;
+#else
+      struct equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) == lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using not_equal_to = std::not_equal_to<>;
+#else
+      struct not_equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) != lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less = std::less<>;
+#else
+      struct less {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) < lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater = std::greater<>;
+#else
+      struct greater {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) > lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less_equal = std::less_equal<>;
+#else
+      struct less_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) <= lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater_equal = std::greater_equal<>;
+#else
+      struct greater_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          RETURN(lib::forward<Lhs>(lhs) >= lib::forward<Rhs>(rhs))
+      };
+#endif
+    }  // namespace cpp14
+
+    inline namespace cpp17 {
+
+      // <type_traits>
+      template <bool B>
+      using bool_constant = std::integral_constant<bool, B>;
+
+      template <typename...>
+      struct voider : identity<void> {};
+
+      template <typename... Ts>
+      using void_t = typename voider<Ts...>::type;
+
+      namespace detail {
+        namespace swappable {
+
+          using std::swap;
+
+          template <typename T>
+          struct is_swappable {
+            private:
+            template <typename U,
+                      typename = decltype(swap(std::declval<U &>(),
+                                               std::declval<U &>()))>
+            inline static std::true_type test(int);
+
+            template <typename U>
+            inline static std::false_type test(...);
+
+            public:
+            static constexpr bool value = decltype(test<T>(0))::value;
+          };
+
+          template <typename T, bool = is_swappable<T>::value>
+          struct is_nothrow_swappable {
+            static constexpr bool value =
+                noexcept(swap(std::declval<T &>(), std::declval<T &>()));
+          };
+
+          template <typename T>
+          struct is_nothrow_swappable<T, false> : std::false_type {};
+
+        }  // namespace swappable
+      }  // namespace detail
+
+      using detail::swappable::is_swappable;
+      using detail::swappable::is_nothrow_swappable;
+
+      // <functional>
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename F, typename... As>
+      inline constexpr auto invoke(F &&f, As &&... as)
+          RETURN(lib::forward<F>(f)(lib::forward<As>(as)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      template <typename B, typename T, typename D>
+      inline constexpr auto invoke(T B::*pmv, D &&d)
+          RETURN(lib::forward<D>(d).*pmv)
+
+      template <typename Pmv, typename Ptr>
+      inline constexpr auto invoke(Pmv pmv, Ptr &&ptr)
+          RETURN((*lib::forward<Ptr>(ptr)).*pmv)
+
+      template <typename B, typename T, typename D, typename... As>
+      inline constexpr auto invoke(T B::*pmf, D &&d, As &&... as)
+          RETURN((lib::forward<D>(d).*pmf)(lib::forward<As>(as)...))
+
+      template <typename Pmf, typename Ptr, typename... As>
+      inline constexpr auto invoke(Pmf pmf, Ptr &&ptr, As &&... as)
+          RETURN(((*lib::forward<Ptr>(ptr)).*pmf)(lib::forward<As>(as)...))
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct invoke_result {};
+
+        template <typename F, typename... Args>
+        struct invoke_result<void_t<decltype(lib::invoke(
+                                 std::declval<F>(), std::declval<Args>()...))>,
+                             F,
+                             Args...>
+            : identity<decltype(
+                  lib::invoke(std::declval<F>(), std::declval<Args>()...))> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using invoke_result = detail::invoke_result<void, F, Args...>;
+
+      template <typename F, typename... Args>
+      using invoke_result_t = typename invoke_result<F, Args...>::type;
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct is_invocable : std::false_type {};
+
+        template <typename F, typename... Args>
+        struct is_invocable<void_t<invoke_result_t<F, Args...>>, F, Args...>
+            : std::true_type {};
+
+        template <typename Void, typename, typename, typename...>
+        struct is_invocable_r : std::false_type {};
+
+        template <typename R, typename F, typename... Args>
+        struct is_invocable_r<void_t<invoke_result_t<F, Args...>>,
+                              R,
+                              F,
+                              Args...>
+            : std::is_convertible<invoke_result_t<F, Args...>, R> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using is_invocable = detail::is_invocable<void, F, Args...>;
+
+      template <typename R, typename F, typename... Args>
+      using is_invocable_r = detail::is_invocable_r<void, R, F, Args...>;
+
+      // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return __builtin_addressof(arg);
+      }
+#else
+      namespace detail {
+
+        namespace has_addressof_impl {
+
+          struct fail;
+
+          template <typename T>
+          inline fail operator&(T &&);
+
+          template <typename T>
+          inline static constexpr bool impl() {
+            return (std::is_class<T>::value || std::is_union<T>::value) &&
+                   !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+          }
+
+        }  // namespace has_addressof_impl
+
+        template <typename T>
+        using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::true_type) {
+          return std::addressof(arg);
+        }
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::false_type) {
+          return &arg;
+        }
+
+      }  // namespace detail
+
+      template <typename T>
+      inline constexpr T *addressof(T &arg) {
+        return detail::addressof(arg, detail::has_addressof<T>{});
+      }
+#endif
+
+      template <typename T>
+      inline constexpr T *addressof(const T &&) = delete;
+
+    }  // namespace cpp17
+
+    template <typename T>
+    struct remove_all_extents : identity<T> {};
+
+    template <typename T, std::size_t N>
+    struct remove_all_extents<array<T, N>> : remove_all_extents<T> {};
+
+    template <typename T>
+    using remove_all_extents_t = typename remove_all_extents<T>::type;
+
+    template <std::size_t N>
+    using size_constant = std::integral_constant<std::size_t, N>;
+
+    template <std::size_t I, typename T>
+    struct indexed_type : size_constant<I>, identity<T> {};
+
+    template <bool... Bs>
+    using all = std::is_same<integer_sequence<bool, true, Bs...>,
+                             integer_sequence<bool, Bs..., true>>;
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+    template <std::size_t I, typename... Ts>
+    struct type_pack_element_impl {
+      private:
+      template <typename>
+      struct set;
+
+      template <std::size_t... Is>
+      struct set<index_sequence<Is...>> : indexed_type<Is, Ts>... {};
+
+      template <typename T>
+      inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+      inline static std::enable_if<false> impl(...);
+
+      public:
+      using type = decltype(impl(set<index_sequence_for<Ts...>>{}));
+    };
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+#ifdef MPARK_TRIVIALITY_TYPE_TRAITS
+    using std::is_trivially_copy_constructible;
+    using std::is_trivially_move_constructible;
+    using std::is_trivially_copy_assignable;
+    using std::is_trivially_move_assignable;
+#else
+    template <typename T>
+    struct is_trivially_copy_constructible
+        : bool_constant<
+              std::is_copy_constructible<T>::value && __has_trivial_copy(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_constructible : bool_constant<__is_trivial(T)> {};
+
+    template <typename T>
+    struct is_trivially_copy_assignable
+        : bool_constant<
+              std::is_copy_assignable<T>::value && __has_trivial_assign(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_assignable : bool_constant<__is_trivial(T)> {};
+#endif
+
+    template <typename T, bool>
+    struct dependent_type : T {};
+
+    template <typename Is, std::size_t J>
+    struct push_back;
+
+    template <typename Is, std::size_t J>
+    using push_back_t = typename push_back<Is, J>::type;
+
+    template <std::size_t... Is, std::size_t J>
+    struct push_back<index_sequence<Is...>, J> {
+      using type = index_sequence<Is..., J>;
+    };
+
+  }  // namespace lib
+}  // namespace mpark
+
+#undef RETURN
+
+#endif  // MPARK_LIB_HPP
+
+
+namespace mpark {
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+
+#define AUTO auto
+#define AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto &&
+#define AUTO_REFREF_RETURN(...) { return __VA_ARGS__; }
+
+#define DECLTYPE_AUTO decltype(auto)
+#define DECLTYPE_AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#else
+
+#define AUTO auto
+#define AUTO_RETURN(...) \
+  -> lib::decay_t<decltype(__VA_ARGS__)> { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto
+#define AUTO_REFREF_RETURN(...)                                           \
+  -> decltype((__VA_ARGS__)) {                                            \
+    static_assert(std::is_reference<decltype((__VA_ARGS__))>::value, ""); \
+    return __VA_ARGS__;                                                   \
+  }
+
+#define DECLTYPE_AUTO auto
+#define DECLTYPE_AUTO_RETURN(...) \
+  -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+#endif
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept { return "bad_variant_access"; }
+  };
+
+  [[noreturn]] inline void throw_bad_variant_access() {
+#ifdef MPARK_EXCEPTIONS
+    throw bad_variant_access{};
+#else
+    std::terminate();
+#ifdef MPARK_BUILTIN_UNREACHABLE
+    __builtin_unreachable();
+#endif
+#endif
+  }
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+#endif
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>> : lib::size_constant<sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "Index out of bounds in std::variant_alternative<>");
+    using type = lib::type_pack_element_t<I, Ts...>;
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr lib::array<bool, sizeof...(Ts)> matches = {
+          {std::is_same<T, Ts>::value...}
+      };
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t) {
+      return result;
+    }
+
+    template <typename... Bs>
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t idx,
+                                                 bool b,
+                                                 Bs... bs) {
+      return b ? (result != not_found ? ambiguous
+                                      : find_index_impl(idx, idx + 1, bs...))
+               : find_index_impl(result, idx + 1, bs...);
+    }
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      return find_index_impl(not_found, 0, std::is_same<T, Ts>::value...);
+    }
+#endif
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        lib::enable_if_t<I != not_found && I != ambiguous,
+                         lib::size_constant<I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : lib::size_constant<I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... traits) {
+      Trait result = Trait::TriviallyAvailable;
+      for (Trait t : {traits...}) {
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr Trait common_trait_impl(Trait result) { return result; }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait_impl(Trait result,
+                                             Trait t,
+                                             Traits... ts) {
+      return static_cast<int>(t) > static_cast<int>(result)
+                 ? common_trait_impl(t, ts...)
+                 : common_trait_impl(result, ts...);
+    }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... ts) {
+      return common_trait_impl(Trait::TriviallyAvailable, ts...);
+    }
+#endif
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_copy_constructible,
+                             std::is_copy_constructible>()...);
+
+      static constexpr Trait move_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_move_constructible,
+                             std::is_move_constructible>()...);
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait(copy_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_copy_assignable,
+                             std::is_copy_assignable>()...);
+
+      static constexpr Trait move_assignable_trait =
+          common_trait(move_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_move_assignable,
+                             std::is_move_assignable>()...);
+
+      static constexpr Trait destructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_destructible,
+                             std::is_destructible>()...);
+    };
+
+    namespace access {
+
+      struct recursive_union {
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return lib::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(lib::forward<V>(v).tail_, in_place_index_t<I - 1>{});
+        }
+#else
+        template <std::size_t I, bool Dummy = true>
+        struct get_alt_impl {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(get_alt_impl<I - 1>{}(lib::forward<V>(v).tail_))
+        };
+
+        template <bool Dummy>
+        struct get_alt_impl<0, Dummy> {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(lib::forward<V>(v).head_)
+        };
+
+        template <typename V, std::size_t I>
+        inline static constexpr AUTO_REFREF get_alt(V &&v, in_place_index_t<I>)
+          AUTO_REFREF_RETURN(get_alt_impl<I>{}(lib::forward<V>(v)))
+#endif
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              data(lib::forward<V>(v)), in_place_index_t<I>{}))
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(base::get_alt<I>(lib::forward<V>(v).impl_))
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+      struct base {
+        template <typename T>
+        inline static constexpr const T &at(const T &elem) {
+          return elem;
+        }
+
+        template <typename T, std::size_t N, typename... Is>
+        inline static constexpr const lib::remove_all_extents_t<T> &at(
+            const lib::array<T, N> &elems, std::size_t i, Is... is) {
+          return at(elems[i], is...);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr int visit_visitor_return_type_check() {
+          static_assert(lib::all<std::is_same<F, Fs>::value...>::value,
+                        "`mpark::visit` requires the visitor to have a single "
+                        "return type.");
+          return 0;
+        }
+
+        template <typename... Fs>
+        inline static constexpr lib::array<
+            lib::common_type_t<lib::decay_t<Fs>...>,
+            sizeof...(Fs)>
+        make_farray(Fs &&... fs) {
+          using result = lib::array<lib::common_type_t<lib::decay_t<Fs>...>,
+                                    sizeof...(Fs)>;
+          return visit_visitor_return_type_check<lib::decay_t<Fs>...>(),
+                 result{{lib::forward<Fs>(fs)...}};
+        }
+
+        template <std::size_t... Is>
+        struct dispatcher {
+          template <typename F, typename... Vs>
+          struct impl {
+            inline static constexpr DECLTYPE_AUTO dispatch(F f, Vs... vs)
+              DECLTYPE_AUTO_RETURN(lib::invoke(
+                  static_cast<F>(f),
+                  access::base::get_alt<Is>(static_cast<Vs>(vs))...))
+          };
+        };
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_dispatch(lib::index_sequence<Is...>)
+          AUTO_RETURN(&dispatcher<Is...>::template impl<F, Vs...>::dispatch)
+
+        template <std::size_t I, typename F, typename... Vs>
+        inline static constexpr AUTO make_fdiagonal_impl()
+          AUTO_RETURN(make_dispatch<F, Vs...>(
+              lib::index_sequence<lib::indexed_type<I, Vs>::value...>{}))
+
+        template <typename F, typename... Vs, std::size_t... Is>
+        inline static constexpr AUTO make_fdiagonal_impl(
+            lib::index_sequence<Is...>)
+          AUTO_RETURN(make_farray(make_fdiagonal_impl<Is, F, Vs...>()...))
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr /* auto * */ auto make_fdiagonal()
+            -> decltype(make_fdiagonal_impl<F, V, Vs...>(
+                lib::make_index_sequence<lib::decay_t<V>::size()>{})) {
+          static_assert(lib::all<(lib::decay_t<V>::size() ==
+                                  lib::decay_t<Vs>::size())...>::value,
+                        "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>(
+              lib::make_index_sequence<lib::decay_t<V>::size()>{});
+        }
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename F, typename... Vs, typename Is>
+        inline static constexpr auto make_fmatrix_impl(Is is) {
+          return make_dispatch<F, Vs...>(is);
+        }
+
+        template <typename F,
+                  typename... Vs,
+                  typename Is,
+                  std::size_t... Js,
+                  typename... Ls>
+        inline static constexpr auto make_fmatrix_impl(
+            Is, lib::index_sequence<Js...>, Ls... ls) {
+          return make_farray(make_fmatrix_impl<F, Vs...>(
+              lib::push_back_t<Is, Js>{}, ls...)...);
+        }
+
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>(
+              lib::index_sequence<>{},
+              lib::make_index_sequence<lib::decay_t<Vs>::size()>{}...);
+        }
+#else
+        template <typename F, typename... Vs>
+        struct make_fmatrix_impl {
+          template <typename...>
+          struct impl;
+
+          template <typename Is>
+          struct impl<Is> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(make_dispatch<F, Vs...>(Is{}))
+          };
+
+          template <typename Is, std::size_t... Js, typename... Ls>
+          struct impl<Is, lib::index_sequence<Js...>, Ls...> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(
+                  make_farray(impl<lib::push_back_t<Is, Js>, Ls...>{}()...))
+          };
+        };
+
+        template <typename F, typename... Vs>
+        inline static constexpr AUTO make_fmatrix()
+          AUTO_RETURN(
+              typename make_fmatrix_impl<F, Vs...>::template impl<
+                  lib::index_sequence<>,
+                  lib::make_index_sequence<lib::decay_t<Vs>::size()>...>{}())
+#endif
+      };  // namespace base
+
+      template <typename F, typename... Vs>
+      using FDiagonal = decltype(base::make_fdiagonal<F, Vs...>());
+
+      template <typename F, typename... Vs>
+      struct fdiagonal {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4268)
+#endif
+        static constexpr FDiagonal<F, Vs...> value =
+            base::make_fdiagonal<F, Vs...>();
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+      };
+
+      template <typename F, typename... Vs>
+      constexpr FDiagonal<F, Vs...> fdiagonal<F, Vs...>::value;
+
+      template <typename F, typename... Vs>
+      using FMatrix = decltype(base::make_fmatrix<F, Vs...>());
+
+      template <typename F, typename... Vs>
+      struct fmatrix {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4268)
+#endif
+        static constexpr FMatrix<F, Vs...> value =
+            base::make_fmatrix<F, Vs...>();
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+      };
+
+      template <typename F, typename... Vs>
+      constexpr FMatrix<F, Vs...> fmatrix<F, Vs...>::value;
+
+      struct alt {
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(base::at(
+              fdiagonal<Visitor &&,
+                        decltype(as_base(lib::forward<Vs>(vs)))...>::value,
+              index)(lib::forward<Visitor>(visitor),
+                     as_base(lib::forward<Vs>(vs))...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(base::at(
+              fmatrix<Visitor &&,
+                      decltype(as_base(lib::forward<Vs>(vs)))...>::value,
+              vs.index()...)(lib::forward<Visitor>(visitor),
+                             as_base(lib::forward<Vs>(vs))...))
+      };
+
+      struct variant {
+        private:
+        template <typename Visitor, typename... Values>
+        struct visit_exhaustive_visitor_check {
+          static_assert(
+              lib::is_invocable<Visitor, Values...>::value,
+              "`mpark::visit` requires the visitor to be exhaustive.");
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+          inline constexpr DECLTYPE_AUTO operator()(Visitor &&visitor,
+                                                    Values &&... values) const
+            DECLTYPE_AUTO_RETURN(lib::invoke(lib::forward<Visitor>(visitor),
+                                             lib::forward<Values>(values)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        };
+
+        template <typename Visitor>
+        struct value_visitor {
+          Visitor &&visitor_;
+
+          template <typename... Alts>
+          inline constexpr DECLTYPE_AUTO operator()(Alts &&... alts) const
+            DECLTYPE_AUTO_RETURN(
+                visit_exhaustive_visitor_check<
+                    Visitor,
+                    decltype((lib::forward<Alts>(alts).value))...>{}(
+                    lib::forward<Visitor>(visitor_),
+                    lib::forward<Alts>(alts).value...))
+        };
+
+        template <typename Visitor>
+        inline static constexpr AUTO make_value_visitor(Visitor &&visitor)
+          AUTO_RETURN(value_visitor<Visitor>{lib::forward<Visitor>(visitor)})
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              alt::visit_alt_at(index,
+                                lib::forward<Visitor>(visitor),
+                                lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(alt::visit_alt(lib::forward<Visitor>(visitor),
+                                              lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value_at(std::size_t index,
+                                                             Visitor &&visitor,
+                                                             Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt_at(index,
+                           make_value_visitor(lib::forward<Visitor>(visitor)),
+                           lib::forward<Vs>(vs)...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value(Visitor &&visitor,
+                                                          Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt(make_value_visitor(lib::forward<Visitor>(visitor)),
+                        lib::forward<Vs>(vs)...))
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value(lib::forward<Args>(args)...) {}
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      T value;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)      \
+  template <std::size_t Index, typename T, typename... Ts>                 \
+  union recursive_union<destructible_trait, Index, T, Ts...> {             \
+    public:                                                                \
+    inline explicit constexpr recursive_union(valueless_t) noexcept        \
+        : dummy_{} {}                                                      \
+                                                                           \
+    template <typename... Args>                                            \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,         \
+                                              Args &&... args)             \
+        : head_(in_place_t{}, lib::forward<Args>(args)...) {}              \
+                                                                           \
+    template <std::size_t I, typename... Args>                             \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,         \
+                                              Args &&... args)             \
+        : tail_(in_place_index_t<I - 1>{}, lib::forward<Args>(args)...) {} \
+                                                                           \
+    recursive_union(const recursive_union &) = default;                    \
+    recursive_union(recursive_union &&) = default;                         \
+                                                                           \
+    destructor                                                             \
+                                                                           \
+    recursive_union &operator=(const recursive_union &) = default;         \
+    recursive_union &operator=(recursive_union &&) = default;              \
+                                                                           \
+    private:                                                               \
+    char dummy_;                                                           \
+    alt<Index, T> head_;                                                   \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;           \
+                                                                           \
+    friend struct access::recursive_union;                                 \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef MPARK_VARIANT_RECURSIVE_UNION
+
+    using index_t = unsigned int;
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(static_cast<index_t>(-1)) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index_t<I>{}, lib::forward<Args>(args)...),
+            index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index_ == static_cast<index_t>(-1);
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return valueless_by_exception() ? variant_npos : index_;
+      }
+
+      protected:
+      using data_t = recursive_union<DestructibleTrait, 0, Ts...>;
+
+      friend inline constexpr base &as_base(base &b) { return b; }
+      friend inline constexpr const base &as_base(const base &b) { return b; }
+      friend inline constexpr base &&as_base(base &&b) { return lib::move(b); }
+      friend inline constexpr const base &&as_base(const base &&b) { return lib::move(b); }
+
+      friend inline constexpr data_t &data(base &b) { return b.data_; }
+      friend inline constexpr const data_t &data(const base &b) { return b.data_; }
+      friend inline constexpr data_t &&data(base &&b) { return lib::move(b).data_; }
+      friend inline constexpr const data_t &&data(const base &&b) { return lib::move(b).data_; }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      data_t data_;
+      index_t index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    struct dtor {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename Alt>
+      inline void operator()(Alt &alt) const noexcept { alt.~Alt(); }
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+    };
+
+#if defined(_MSC_VER) && _MSC_VER < 1910
+#define INHERITING_CTOR(type, base)               \
+  template <typename... Args>                     \
+  inline explicit constexpr type(Args &&... args) \
+      : base(lib::forward<Args>(args)...) {}
+#else
+#define INHERITING_CTOR(type, base) using base::base;
+#endif
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    INHERITING_CTOR(destructor, super)                                    \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    destroy                                                               \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::TriviallyAvailable,
+        ~destructor() = default;,
+        inline void destroy() noexcept {
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Available,
+        ~destructor() { destroy(); },
+        inline void destroy() noexcept {
+          if (!this->valueless_by_exception()) {
+            visitation::alt::visit_alt(dtor{}, *this);
+          }
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Unavailable,
+        ~destructor() = delete;,
+        inline void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      INHERITING_CTOR(constructor, super)
+      using super::operator=;
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct ctor {
+        template <typename LhsAlt, typename RhsAlt>
+        inline void operator()(LhsAlt &lhs_alt, RhsAlt &&rhs_alt) const {
+          constructor::construct_alt(lhs_alt,
+                                     lib::forward<RhsAlt>(rhs_alt).value);
+        }
+      };
+#endif
+
+      template <std::size_t I, typename T, typename... Args>
+      inline static T &construct_alt(alt<I, T> &a, Args &&... args) {
+        ::new (static_cast<void *>(lib::addressof(a)))
+            alt<I, T>(in_place_t{}, lib::forward<Args>(args)...);
+        return a.value;
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::alt::visit_alt_at(
+              rhs.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt, lib::forward<decltype(rhs_alt)>(rhs_alt).value);
+              }
+#else
+              ctor{}
+#endif
+              ,
+              lhs,
+              lib::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index_;
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(move_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            lib::all<std::is_nothrow_move_constructible<Ts>::value...>::value)
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, lib::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    INHERITING_CTOR(copy_constructor, super)                                 \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      INHERITING_CTOR(assignment, super)
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline /* auto & */ auto emplace(Args &&... args)
+          -> decltype(this->construct_alt(access::base::get_alt<I>(*this),
+                                          lib::forward<Args>(args)...)) {
+        this->destroy();
+        auto &result = this->construct_alt(access::base::get_alt<I>(*this),
+                                           lib::forward<Args>(args)...);
+        this->index_ = I;
+        return result;
+      }
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      template <typename That>
+      struct assigner {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &&that_alt) const {
+          self->assign_alt(this_alt, lib::forward<ThatAlt>(that_alt).value);
+        }
+        assignment *self;
+      };
+#endif
+
+      template <std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a, Arg &&arg) {
+        if (this->index() == I) {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+          a.value = lib::forward<Arg>(arg);
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(lib::forward<Arg>(arg_));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(T(lib::forward<Arg>(arg_)));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, lib::forward<Arg>(arg)};
+          impl(lib::bool_constant<
+                   std::is_nothrow_constructible<T, Arg>::value ||
+                   !std::is_nothrow_move_constructible<T>::value>{});
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::alt::visit_alt_at(
+              that.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt, lib::forward<decltype(that_alt)>(that_alt).value);
+              }
+#else
+              assigner<That>{this}
+#endif
+              ,
+              *this,
+              lib::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(move_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                      std::is_nothrow_move_assignable<Ts>::value)...>::value) {
+          this->generic_assign(lib::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    INHERITING_CTOR(copy_assignment, super)                              \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      INHERITING_CTOR(impl, super)
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         lib::forward<Arg>(arg));
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::alt::visit_alt_at(this->index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+                                        [](auto &this_alt, auto &that_alt) {
+                                          using std::swap;
+                                          swap(this_alt.value,
+                                               that_alt.value);
+                                        }
+#else
+                                        swapper{}
+#endif
+                                        ,
+                                        *this,
+                                        that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(lib::move(*rhs));
+#ifdef MPARK_EXCEPTIONS
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarantee.
+          try {
+            this->generic_construct(*rhs, lib::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, lib::move(tmp));
+            }
+            throw;
+          }
+#else
+          this->generic_construct(*rhs, lib::move(*lhs));
+#endif
+          this->generic_construct(*lhs, lib::move(tmp));
+        }
+      }
+
+      private:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct swapper {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &that_alt) const {
+          using std::swap;
+          swap(this_alt.value, that_alt.value);
+        }
+      };
+#endif
+
+      inline constexpr bool move_nothrow() const {
+        return this->valueless_by_exception() ||
+               lib::array<bool, sizeof...(Ts)>{
+                   {std::is_nothrow_move_constructible<Ts>::value...}
+               }[this->index()];
+      }
+    };
+
+    template <std::size_t I, typename T>
+    struct overload_leaf {
+      using F = lib::size_constant<I> (*)(T);
+      operator F() const { return nullptr; }
+    };
+
+    template <typename... Ts>
+    struct overload_impl {
+      private:
+      template <typename>
+      struct impl;
+
+      template <std::size_t... Is>
+      struct impl<lib::index_sequence<Is...>> : overload_leaf<Is, Ts>... {};
+
+      public:
+      using type = impl<lib::index_sequence_for<Ts...>>;
+    };
+
+    template <typename... Ts>
+    using overload = typename overload_impl<Ts...>::type;
+
+    template <typename T, typename... Ts>
+    using best_match = lib::invoke_result_t<overload<Ts...>, T &&>;
+
+    template <typename T>
+    struct is_in_place_index : std::false_type {};
+
+    template <std::size_t I>
+    struct is_in_place_index<in_place_index_t<I>> : std::true_type {};
+
+    template <typename T>
+    struct is_in_place_type : std::false_type {};
+
+    template <typename T>
+    struct is_in_place_type<in_place_type_t<T>> : std::true_type {};
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(lib::all<!std::is_array<Ts>::value...>::value,
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(lib::all<!std::is_reference<Ts>::value...>::value,
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(lib::all<!std::is_void<Ts>::value...>::value,
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = lib::type_pack_element_t<0, Ts...>,
+        lib::enable_if_t<std::is_default_constructible<Front>::value, int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index_t<0>{}) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <
+        typename Arg,
+        typename Decayed = lib::decay_t<Arg>,
+        lib::enable_if_t<!std::is_same<Decayed, variant>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_index<Decayed>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_type<Decayed>::value, int> = 0,
+        std::size_t I = detail::best_match<Arg, Ts...>::value,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Arg>::value, int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              lib::enable_if_t<!std::is_same<lib::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              std::size_t I = detail::best_match<Arg, Ts...>::value,
+              typename T = lib::type_pack_element_t<I, Ts...>,
+              lib::enable_if_t<(std::is_assignable<T &, Arg>::value &&
+                                std::is_constructible<T, Arg>::value),
+                               int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(lib::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <bool Dummy = true,
+              lib::enable_if_t<
+                  lib::all<Dummy,
+                           (lib::dependent_type<std::is_move_constructible<Ts>,
+                                                Dummy>::value &&
+                            lib::dependent_type<lib::is_swappable<Ts>,
+                                                Dummy>::value)...>::value,
+                  int> = 0>
+    inline void swap(variant &that) noexcept(
+        lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                  lib::is_nothrow_swappable<Ts>::value)...>::value) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <std::size_t I, typename V>
+    struct generic_get_impl {
+      constexpr generic_get_impl(int) {}
+
+      constexpr AUTO_REFREF operator()(V &&v) const
+        AUTO_REFREF_RETURN(
+            access::variant::get_alt<I>(lib::forward<V>(v)).value)
+    };
+
+    template <std::size_t I, typename V>
+    inline constexpr AUTO_REFREF generic_get(V &&v)
+      AUTO_REFREF_RETURN(generic_get_impl<I, V>(
+          holds_alternative<I>(v) ? 0 : (throw_bad_variant_access(), 0))(
+          lib::forward<V>(v)))
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr /* auto * */ AUTO generic_get_if(V *v) noexcept
+      AUTO_RETURN(v && holds_alternative<I>(*v)
+                      ? lib::addressof(access::variant::get_alt<I>(*v).value)
+                      : nullptr)
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs);
+#else
+    return lhs.index() == rhs.index() &&
+           (lhs.valueless_by_exception() ||
+            variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::not_equal_to;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs);
+#else
+    return lhs.index() != rhs.index() ||
+           (!lhs.valueless_by_exception() &&
+            variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::less;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less{}, lhs, rhs);
+#else
+    return !rhs.valueless_by_exception() &&
+           (lhs.valueless_by_exception() || lhs.index() < rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), less{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::greater;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater{}, lhs, rhs);
+#else
+    return !lhs.valueless_by_exception() &&
+           (rhs.valueless_by_exception() || lhs.index() > rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), greater{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::less_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs);
+#else
+    return lhs.valueless_by_exception() ||
+           (!rhs.valueless_by_exception() &&
+            (lhs.index() < rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using lib::greater_equal;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater_equal{}, lhs, rhs);
+#else
+    return rhs.valueless_by_exception() ||
+           (!lhs.valueless_by_exception() &&
+            (lhs.index() > rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(
+                  lhs.index(), greater_equal{}, lhs, rhs))));
+#endif
+  }
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+  namespace detail {
+
+    inline constexpr bool all(std::initializer_list<bool> bs) {
+      for (bool b : bs) {
+        if (!b) {
+          return false;
+        }
+      }
+      return true;
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr decltype(auto) visit(Visitor &&visitor, Vs &&... vs) {
+    return (detail::all({!vs.valueless_by_exception()...})
+                ? (void)0
+                : throw_bad_variant_access()),
+           detail::visitation::variant::visit_value(
+               lib::forward<Visitor>(visitor), lib::forward<Vs>(vs)...);
+  }
+#else
+  namespace detail {
+
+    template <std::size_t N>
+    inline constexpr bool all_impl(const lib::array<bool, N> &bs,
+                                   std::size_t idx) {
+      return idx >= N || (bs[idx] && all_impl(bs, idx + 1));
+    }
+
+    template <std::size_t N>
+    inline constexpr bool all(const lib::array<bool, N> &bs) {
+      return all_impl(bs, 0);
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr DECLTYPE_AUTO visit(Visitor &&visitor, Vs &&... vs)
+    DECLTYPE_AUTO_RETURN(
+        (detail::all(
+             lib::array<bool, sizeof...(Vs)>{{!vs.valueless_by_exception()...}})
+             ? (void)0
+             : throw_bad_variant_access()),
+        detail::visitation::variant::visit_value(lib::forward<Visitor>(visitor),
+                                                 lib::forward<Vs>(vs)...))
+#endif
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+  namespace detail {
+
+    template <typename T, typename...>
+    using enabled_type = T;
+
+    namespace hash {
+
+      template <typename H, typename K>
+      constexpr bool meets_requirements() {
+        return std::is_copy_constructible<H>::value &&
+               std::is_move_constructible<H>::value &&
+               lib::is_invocable_r<std::size_t, H, const K &>::value;
+      }
+
+      template <typename K>
+      constexpr bool is_enabled() {
+        using H = std::hash<K>;
+        return meets_requirements<H, K>() &&
+               std::is_default_constructible<H>::value &&
+               std::is_copy_assignable<H>::value &&
+               std::is_move_assignable<H>::value;
+      }
+
+    }  // namespace hash
+
+  }  // namespace detail
+
+#undef AUTO
+#undef AUTO_RETURN
+
+#undef AUTO_REFREF
+#undef AUTO_REFREF_RETURN
+
+#undef DECLTYPE_AUTO
+#undef DECLTYPE_AUTO_RETURN
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::detail::enabled_type<
+      mpark::variant<Ts...>,
+      mpark::lib::enable_if_t<mpark::lib::all<mpark::detail::hash::is_enabled<
+          mpark::lib::remove_const_t<Ts>>()...>::value>>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+#ifdef MPARK_GENERIC_LAMBDAS
+                    [](const auto &alt) {
+                      using alt_type = mpark::lib::decay_t<decltype(alt)>;
+                      using value_type = mpark::lib::remove_const_t<
+                          typename alt_type::value_type>;
+                      return hash<value_type>{}(alt.value);
+                    }
+#else
+                    hasher{}
+#endif
+                    ,
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+#ifndef MPARK_GENERIC_LAMBDAS
+    struct hasher {
+      template <typename Alt>
+      inline std::size_t operator()(const Alt &alt) const {
+        using alt_type = mpark::lib::decay_t<Alt>;
+        using value_type =
+            mpark::lib::remove_const_t<typename alt_type::value_type>;
+        return hash<value_type>{}(alt.value);
+      }
+    };
+#endif
+
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const noexcept {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/mpark-variant/v1.4.0/variant.hpp

@@ -0,0 +1,2813 @@
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_VARIANT_HPP
+#define MPARK_VARIANT_HPP
+
+/*
+   variant synopsis
+
+namespace std {
+
+  // 20.7.2, class template variant
+  template <class... Types>
+  class variant {
+  public:
+
+    // 20.7.2.1, constructors
+    constexpr variant() noexcept(see below);
+    variant(const variant&);
+    variant(variant&&) noexcept(see below);
+
+    template <class T> constexpr variant(T&&) noexcept(see below);
+
+    template <class T, class... Args>
+    constexpr explicit variant(in_place_type_t<T>, Args&&...);
+
+    template <class T, class U, class... Args>
+    constexpr explicit variant(
+        in_place_type_t<T>, initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    constexpr explicit variant(in_place_index_t<I>, Args&&...);
+
+    template <size_t I, class U, class... Args>
+    constexpr explicit variant(
+        in_place_index_t<I>, initializer_list<U>, Args&&...);
+
+    // 20.7.2.2, destructor
+    ~variant();
+
+    // 20.7.2.3, assignment
+    variant& operator=(const variant&);
+    variant& operator=(variant&&) noexcept(see below);
+
+    template <class T> variant& operator=(T&&) noexcept(see below);
+
+    // 20.7.2.4, modifiers
+    template <class T, class... Args>
+    T& emplace(Args&&...);
+
+    template <class T, class U, class... Args>
+    T& emplace(initializer_list<U>, Args&&...);
+
+    template <size_t I, class... Args>
+    variant_alternative<I, variant>& emplace(Args&&...);
+
+    template <size_t I, class U, class...  Args>
+    variant_alternative<I, variant>& emplace(initializer_list<U>, Args&&...);
+
+    // 20.7.2.5, value status
+    constexpr bool valueless_by_exception() const noexcept;
+    constexpr size_t index() const noexcept;
+
+    // 20.7.2.6, swap
+    void swap(variant&) noexcept(see below);
+  };
+
+  // 20.7.3, variant helper classes
+  template <class T> struct variant_size; // undefined
+
+  template <class T>
+  constexpr size_t variant_size_v = variant_size<T>::value;
+
+  template <class T> struct variant_size<const T>;
+  template <class T> struct variant_size<volatile T>;
+  template <class T> struct variant_size<const volatile T>;
+
+  template <class... Types>
+  struct variant_size<variant<Types...>>;
+
+  template <size_t I, class T> struct variant_alternative; // undefined
+
+  template <size_t I, class T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <size_t I, class T> struct variant_alternative<I, const T>;
+  template <size_t I, class T> struct variant_alternative<I, volatile T>;
+  template <size_t I, class T> struct variant_alternative<I, const volatile T>;
+
+  template <size_t I, class... Types>
+  struct variant_alternative<I, variant<Types...>>;
+
+  constexpr size_t variant_npos = -1;
+
+  // 20.7.4, value access
+  template <class T, class... Types>
+  constexpr bool holds_alternative(const variant<Types...>&) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&
+  get(variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>>&&
+  get(variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&
+  get(const variant<Types...>&);
+
+  template <size_t I, class... Types>
+  constexpr variant_alternative_t<I, variant<Types...>> const&&
+  get(const variant<Types...>&&);
+
+  template <class T, class...  Types>
+  constexpr T& get(variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr T&& get(variant<Types...>&&);
+
+  template <class T, class... Types>
+  constexpr const T& get(const variant<Types...>&);
+
+  template <class T, class... Types>
+  constexpr const T&& get(const variant<Types...>&&);
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<variant_alternative_t<I, variant<Types...>>>
+  get_if(variant<Types...>*) noexcept;
+
+  template <size_t I, class... Types>
+  constexpr add_pointer_t<const variant_alternative_t<I, variant<Types...>>>
+  get_if(const variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<T>
+  get_if(variant<Types...>*) noexcept;
+
+  template <class T, class... Types>
+  constexpr add_pointer_t<const T>
+  get_if(const variant<Types...>*) noexcept;
+
+  // 20.7.5, relational operators
+  template <class... Types>
+  constexpr bool operator==(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator!=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator<=(const variant<Types...>&, const variant<Types...>&);
+
+  template <class... Types>
+  constexpr bool operator>=(const variant<Types...>&, const variant<Types...>&);
+
+  // 20.7.6, visitation
+  template <class Visitor, class... Variants>
+  constexpr see below visit(Visitor&&, Variants&&...);
+
+  // 20.7.7, class monostate
+  struct monostate;
+
+  // 20.7.8, monostate relational operators
+  constexpr bool operator<(monostate, monostate) noexcept;
+  constexpr bool operator>(monostate, monostate) noexcept;
+  constexpr bool operator<=(monostate, monostate) noexcept;
+  constexpr bool operator>=(monostate, monostate) noexcept;
+  constexpr bool operator==(monostate, monostate) noexcept;
+  constexpr bool operator!=(monostate, monostate) noexcept;
+
+  // 20.7.9, specialized algorithms
+  template <class... Types>
+  void swap(variant<Types...>&, variant<Types...>&) noexcept(see below);
+
+  // 20.7.10, class bad_variant_access
+  class bad_variant_access;
+
+  // 20.7.11, hash support
+  template <class T> struct hash;
+  template <class... Types> struct hash<variant<Types...>>;
+  template <> struct hash<monostate>;
+
+} // namespace std
+
+*/
+
+#include <cstddef>
+#include <exception>
+#include <functional>
+#include <initializer_list>
+#include <new>
+#include <type_traits>
+#include <utility>
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_CONFIG_HPP
+#define MPARK_CONFIG_HPP
+
+// MSVC 2015 Update 3.
+#if __cplusplus < 201103L && (!defined(_MSC_VER) || _MSC_FULL_VER < 190024210)
+#error "MPark.Variant requires C++11 support."
+#endif
+
+#ifndef __has_attribute
+#define __has_attribute(x) 0
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
+#endif
+
+#ifndef __has_include
+#define __has_include(x) 0
+#endif
+
+#ifndef __has_feature
+#define __has_feature(x) 0
+#endif
+
+#if __has_attribute(always_inline) || defined(__GNUC__)
+#define MPARK_ALWAYS_INLINE __attribute__((__always_inline__)) inline
+#elif defined(_MSC_VER)
+#define MPARK_ALWAYS_INLINE __forceinline
+#else
+#define MPARK_ALWAYS_INLINE inline
+#endif
+
+#if __has_builtin(__builtin_addressof) || \
+    (defined(__GNUC__) && __GNUC__ >= 7) || defined(_MSC_VER)
+#define MPARK_BUILTIN_ADDRESSOF
+#endif
+
+#if __has_builtin(__builtin_unreachable) || defined(__GNUC__)
+#define MPARK_BUILTIN_UNREACHABLE __builtin_unreachable()
+#elif defined(_MSC_VER)
+#define MPARK_BUILTIN_UNREACHABLE __assume(false)
+#else
+#define MPARK_BUILTIN_UNREACHABLE
+#endif
+
+#if __has_builtin(__type_pack_element)
+#define MPARK_TYPE_PACK_ELEMENT
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 200704 && \
+    !(defined(__GNUC__) && __GNUC__ == 4 && __GNUC_MINOR__ == 9)
+#define MPARK_CPP11_CONSTEXPR
+#endif
+
+#if defined(__cpp_constexpr) && __cpp_constexpr >= 201304
+#define MPARK_CPP14_CONSTEXPR
+#endif
+
+#if __has_feature(cxx_exceptions) || defined(__cpp_exceptions) || \
+    (defined(_MSC_VER) && defined(_CPPUNWIND))
+#define MPARK_EXCEPTIONS
+#endif
+
+#if defined(__cpp_generic_lambdas) || defined(_MSC_VER)
+#define MPARK_GENERIC_LAMBDAS
+#endif
+
+#if defined(__cpp_lib_integer_sequence)
+#define MPARK_INTEGER_SEQUENCE
+#endif
+
+#if defined(__cpp_return_type_deduction) || defined(_MSC_VER)
+#define MPARK_RETURN_TYPE_DEDUCTION
+#endif
+
+#if defined(__cpp_lib_transparent_operators) || defined(_MSC_VER)
+#define MPARK_TRANSPARENT_OPERATORS
+#endif
+
+#if defined(__cpp_variable_templates) || defined(_MSC_VER)
+#define MPARK_VARIABLE_TEMPLATES
+#endif
+
+#if !defined(__GLIBCXX__) || __has_include(<codecvt>)  // >= libstdc++-5
+#define MPARK_TRIVIALITY_TYPE_TRAITS
+#define MPARK_INCOMPLETE_TYPE_TRAITS
+#endif
+
+#endif  // MPARK_CONFIG_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_IN_PLACE_HPP
+#define MPARK_IN_PLACE_HPP
+
+#include <cstddef>
+
+
+namespace mpark {
+
+  struct in_place_t { explicit in_place_t() = default; };
+
+  template <std::size_t I>
+  struct in_place_index_t { explicit in_place_index_t() = default; };
+
+  template <typename T>
+  struct in_place_type_t { explicit in_place_type_t() = default; };
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  constexpr in_place_t in_place{};
+
+  template <std::size_t I> constexpr in_place_index_t<I> in_place_index{};
+
+  template <typename T> constexpr in_place_type_t<T> in_place_type{};
+#endif
+
+}  // namespace mpark
+
+#endif  // MPARK_IN_PLACE_HPP
+
+// MPark.Variant
+//
+// Copyright Michael Park, 2015-2017
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+
+#ifndef MPARK_LIB_HPP
+#define MPARK_LIB_HPP
+
+#include <memory>
+#include <functional>
+#include <type_traits>
+#include <utility>
+
+
+#define MPARK_RETURN(...) \
+  noexcept(noexcept(__VA_ARGS__)) -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+namespace mpark {
+  namespace lib {
+    template <typename T>
+    struct identity { using type = T; };
+
+    inline namespace cpp14 {
+      template <typename T, std::size_t N>
+      struct array {
+        constexpr const T &operator[](std::size_t index) const {
+          return data[index];
+        }
+
+        T data[N == 0 ? 1 : N];
+      };
+
+      template <typename T>
+      using add_pointer_t = typename std::add_pointer<T>::type;
+
+      template <typename... Ts>
+      using common_type_t = typename std::common_type<Ts...>::type;
+
+      template <typename T>
+      using decay_t = typename std::decay<T>::type;
+
+      template <bool B, typename T = void>
+      using enable_if_t = typename std::enable_if<B, T>::type;
+
+      template <typename T>
+      using remove_const_t = typename std::remove_const<T>::type;
+
+      template <typename T>
+      using remove_reference_t = typename std::remove_reference<T>::type;
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &t) noexcept {
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr T &&forward(remove_reference_t<T> &&t) noexcept {
+        static_assert(!std::is_lvalue_reference<T>::value,
+                      "can not forward an rvalue as an lvalue");
+        return static_cast<T &&>(t);
+      }
+
+      template <typename T>
+      inline constexpr remove_reference_t<T> &&move(T &&t) noexcept {
+        return static_cast<remove_reference_t<T> &&>(t);
+      }
+
+#ifdef MPARK_INTEGER_SEQUENCE
+      using std::integer_sequence;
+      using std::index_sequence;
+      using std::make_index_sequence;
+      using std::index_sequence_for;
+#else
+      template <typename T, T... Is>
+      struct integer_sequence {
+        using value_type = T;
+        static constexpr std::size_t size() noexcept { return sizeof...(Is); }
+      };
+
+      template <std::size_t... Is>
+      using index_sequence = integer_sequence<std::size_t, Is...>;
+
+      template <typename Lhs, typename Rhs>
+      struct make_index_sequence_concat;
+
+      template <std::size_t... Lhs, std::size_t... Rhs>
+      struct make_index_sequence_concat<index_sequence<Lhs...>,
+                                        index_sequence<Rhs...>>
+          : identity<index_sequence<Lhs..., (sizeof...(Lhs) + Rhs)...>> {};
+
+      template <std::size_t N>
+      struct make_index_sequence_impl;
+
+      template <std::size_t N>
+      using make_index_sequence = typename make_index_sequence_impl<N>::type;
+
+      template <std::size_t N>
+      struct make_index_sequence_impl
+          : make_index_sequence_concat<make_index_sequence<N / 2>,
+                                       make_index_sequence<N - (N / 2)>> {};
+
+      template <>
+      struct make_index_sequence_impl<0> : identity<index_sequence<>> {};
+
+      template <>
+      struct make_index_sequence_impl<1> : identity<index_sequence<0>> {};
+
+      template <typename... Ts>
+      using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
+#endif
+
+      // <functional>
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using equal_to = std::equal_to<>;
+#else
+      struct equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) == lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using not_equal_to = std::not_equal_to<>;
+#else
+      struct not_equal_to {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) != lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less = std::less<>;
+#else
+      struct less {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) < lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater = std::greater<>;
+#else
+      struct greater {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) > lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using less_equal = std::less_equal<>;
+#else
+      struct less_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) <= lib::forward<Rhs>(rhs))
+      };
+#endif
+
+#ifdef MPARK_TRANSPARENT_OPERATORS
+      using greater_equal = std::greater_equal<>;
+#else
+      struct greater_equal {
+        template <typename Lhs, typename Rhs>
+        inline constexpr auto operator()(Lhs &&lhs, Rhs &&rhs) const
+          MPARK_RETURN(lib::forward<Lhs>(lhs) >= lib::forward<Rhs>(rhs))
+      };
+#endif
+    }  // namespace cpp14
+
+    inline namespace cpp17 {
+
+      // <type_traits>
+      template <bool B>
+      using bool_constant = std::integral_constant<bool, B>;
+
+      template <typename...>
+      struct voider : identity<void> {};
+
+      template <typename... Ts>
+      using void_t = typename voider<Ts...>::type;
+
+      namespace detail {
+        namespace swappable {
+
+          using std::swap;
+
+          template <typename T>
+          struct is_swappable {
+            private:
+            template <typename U,
+                      typename = decltype(swap(std::declval<U &>(),
+                                               std::declval<U &>()))>
+            inline static std::true_type test(int);
+
+            template <typename U>
+            inline static std::false_type test(...);
+
+            public:
+            static constexpr bool value = decltype(test<T>(0))::value;
+          };
+
+          template <bool IsSwappable, typename T>
+          struct is_nothrow_swappable {
+            static constexpr bool value =
+                noexcept(swap(std::declval<T &>(), std::declval<T &>()));
+          };
+
+          template <typename T>
+          struct is_nothrow_swappable<false, T> : std::false_type {};
+
+        }  // namespace swappable
+      }  // namespace detail
+
+      using detail::swappable::is_swappable;
+
+      template <typename T>
+      using is_nothrow_swappable =
+          detail::swappable::is_nothrow_swappable<is_swappable<T>::value, T>;
+
+      // <functional>
+      namespace detail {
+
+        template <typename T>
+        struct is_reference_wrapper : std::false_type {};
+
+        template <typename T>
+        struct is_reference_wrapper<std::reference_wrapper<T>>
+            : std::true_type {};
+
+        template <bool, int>
+        struct Invoke;
+
+        template <>
+        struct Invoke<true /* pmf */, 0 /* is_base_of */> {
+          template <typename R, typename T, typename Arg, typename... Args>
+          inline static constexpr auto invoke(R T::*pmf, Arg &&arg, Args &&... args)
+            MPARK_RETURN((lib::forward<Arg>(arg).*pmf)(lib::forward<Args>(args)...))
+        };
+
+        template <>
+        struct Invoke<true /* pmf */, 1 /* is_reference_wrapper */> {
+          template <typename R, typename T, typename Arg, typename... Args>
+          inline static constexpr auto invoke(R T::*pmf, Arg &&arg, Args &&... args)
+            MPARK_RETURN((lib::forward<Arg>(arg).get().*pmf)(lib::forward<Args>(args)...))
+        };
+
+        template <>
+        struct Invoke<true /* pmf */, 2 /* otherwise */> {
+          template <typename R, typename T, typename Arg, typename... Args>
+          inline static constexpr auto invoke(R T::*pmf, Arg &&arg, Args &&... args)
+            MPARK_RETURN(((*lib::forward<Arg>(arg)).*pmf)(lib::forward<Args>(args)...))
+        };
+
+        template <>
+        struct Invoke<false /* pmo */, 0 /* is_base_of */> {
+          template <typename R, typename T, typename Arg>
+          inline static constexpr auto invoke(R T::*pmo, Arg &&arg)
+            MPARK_RETURN(lib::forward<Arg>(arg).*pmo)
+        };
+
+        template <>
+        struct Invoke<false /* pmo */, 1 /* is_reference_wrapper */> {
+          template <typename R, typename T, typename Arg>
+          inline static constexpr auto invoke(R T::*pmo, Arg &&arg)
+            MPARK_RETURN(lib::forward<Arg>(arg).get().*pmo)
+        };
+
+        template <>
+        struct Invoke<false /* pmo */, 2 /* otherwise */> {
+          template <typename R, typename T, typename Arg>
+          inline static constexpr auto invoke(R T::*pmo, Arg &&arg)
+              MPARK_RETURN((*lib::forward<Arg>(arg)).*pmo)
+        };
+
+        template <typename R, typename T, typename Arg, typename... Args>
+        inline constexpr auto invoke(R T::*f, Arg &&arg, Args &&... args)
+          MPARK_RETURN(
+              Invoke<std::is_function<R>::value,
+                     (std::is_base_of<T, lib::decay_t<Arg>>::value
+                          ? 0
+                          : is_reference_wrapper<lib::decay_t<Arg>>::value
+                                ? 1
+                                : 2)>::invoke(f,
+                                              lib::forward<Arg>(arg),
+                                              lib::forward<Args>(args)...))
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+        template <typename F, typename... Args>
+        inline constexpr auto invoke(F &&f, Args &&... args)
+          MPARK_RETURN(lib::forward<F>(f)(lib::forward<Args>(args)...))
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      inline constexpr auto invoke(F &&f, Args &&... args)
+        MPARK_RETURN(detail::invoke(lib::forward<F>(f),
+                                    lib::forward<Args>(args)...))
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct invoke_result {};
+
+        template <typename F, typename... Args>
+        struct invoke_result<void_t<decltype(lib::invoke(
+                                 std::declval<F>(), std::declval<Args>()...))>,
+                             F,
+                             Args...>
+            : identity<decltype(
+                  lib::invoke(std::declval<F>(), std::declval<Args>()...))> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using invoke_result = detail::invoke_result<void, F, Args...>;
+
+      template <typename F, typename... Args>
+      using invoke_result_t = typename invoke_result<F, Args...>::type;
+
+      namespace detail {
+
+        template <typename Void, typename, typename...>
+        struct is_invocable : std::false_type {};
+
+        template <typename F, typename... Args>
+        struct is_invocable<void_t<invoke_result_t<F, Args...>>, F, Args...>
+            : std::true_type {};
+
+        template <typename Void, typename, typename, typename...>
+        struct is_invocable_r : std::false_type {};
+
+        template <typename R, typename F, typename... Args>
+        struct is_invocable_r<void_t<invoke_result_t<F, Args...>>,
+                              R,
+                              F,
+                              Args...>
+            : std::is_convertible<invoke_result_t<F, Args...>, R> {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using is_invocable = detail::is_invocable<void, F, Args...>;
+
+      template <typename R, typename F, typename... Args>
+      using is_invocable_r = detail::is_invocable_r<void, R, F, Args...>;
+
+      namespace detail {
+
+        template <bool Invocable, typename F, typename... Args>
+        struct is_nothrow_invocable {
+          static constexpr bool value =
+              noexcept(lib::invoke(std::declval<F>(), std::declval<Args>()...));
+        };
+
+        template <typename F, typename... Args>
+        struct is_nothrow_invocable<false, F, Args...> : std::false_type {};
+
+        template <bool Invocable, typename R, typename F, typename... Args>
+        struct is_nothrow_invocable_r {
+          private:
+          inline static R impl() {
+            return lib::invoke(std::declval<F>(), std::declval<Args>()...);
+          }
+
+          public:
+          static constexpr bool value = noexcept(impl());
+        };
+
+        template <typename R, typename F, typename... Args>
+        struct is_nothrow_invocable_r<false, R, F, Args...> : std::false_type {};
+
+      }  // namespace detail
+
+      template <typename F, typename... Args>
+      using is_nothrow_invocable = detail::
+          is_nothrow_invocable<is_invocable<F, Args...>::value, F, Args...>;
+
+      template <typename R, typename F, typename... Args>
+      using is_nothrow_invocable_r =
+          detail::is_nothrow_invocable_r<is_invocable_r<R, F, Args...>::value,
+                                         R,
+                                         F,
+                                         Args...>;
+
+      // <memory>
+#ifdef MPARK_BUILTIN_ADDRESSOF
+      template <typename T>
+      inline constexpr T *addressof(T &arg) noexcept {
+        return __builtin_addressof(arg);
+      }
+#else
+      namespace detail {
+
+        namespace has_addressof_impl {
+
+          struct fail;
+
+          template <typename T>
+          inline fail operator&(T &&);
+
+          template <typename T>
+          inline static constexpr bool impl() {
+            return (std::is_class<T>::value || std::is_union<T>::value) &&
+                   !std::is_same<decltype(&std::declval<T &>()), fail>::value;
+          }
+
+        }  // namespace has_addressof_impl
+
+        template <typename T>
+        using has_addressof = bool_constant<has_addressof_impl::impl<T>()>;
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::true_type) noexcept {
+          return std::addressof(arg);
+        }
+
+        template <typename T>
+        inline constexpr T *addressof(T &arg, std::false_type) noexcept {
+          return &arg;
+        }
+
+      }  // namespace detail
+
+      template <typename T>
+      inline constexpr T *addressof(T &arg) noexcept {
+        return detail::addressof(arg, detail::has_addressof<T>{});
+      }
+#endif
+
+      template <typename T>
+      inline constexpr T *addressof(const T &&) = delete;
+
+    }  // namespace cpp17
+
+    template <typename T>
+    struct remove_all_extents : identity<T> {};
+
+    template <typename T, std::size_t N>
+    struct remove_all_extents<array<T, N>> : remove_all_extents<T> {};
+
+    template <typename T>
+    using remove_all_extents_t = typename remove_all_extents<T>::type;
+
+    template <std::size_t N>
+    using size_constant = std::integral_constant<std::size_t, N>;
+
+    template <std::size_t I, typename T>
+    struct indexed_type : size_constant<I> { using type = T; };
+
+    template <bool... Bs>
+    using all = std::is_same<integer_sequence<bool, true, Bs...>,
+                             integer_sequence<bool, Bs..., true>>;
+
+#ifdef MPARK_TYPE_PACK_ELEMENT
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = __type_pack_element<I, Ts...>;
+#else
+    template <std::size_t I, typename... Ts>
+    struct type_pack_element_impl {
+      private:
+      template <typename>
+      struct set;
+
+      template <std::size_t... Is>
+      struct set<index_sequence<Is...>> : indexed_type<Is, Ts>... {};
+
+      template <typename T>
+      inline static std::enable_if<true, T> impl(indexed_type<I, T>);
+
+      inline static std::enable_if<false> impl(...);
+
+      public:
+      using type = decltype(impl(set<index_sequence_for<Ts...>>{}));
+    };
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element = typename type_pack_element_impl<I, Ts...>::type;
+
+    template <std::size_t I, typename... Ts>
+    using type_pack_element_t = typename type_pack_element<I, Ts...>::type;
+#endif
+
+#ifdef MPARK_TRIVIALITY_TYPE_TRAITS
+    using std::is_trivially_copy_constructible;
+    using std::is_trivially_move_constructible;
+    using std::is_trivially_copy_assignable;
+    using std::is_trivially_move_assignable;
+#else
+    template <typename T>
+    struct is_trivially_copy_constructible
+        : bool_constant<
+              std::is_copy_constructible<T>::value && __has_trivial_copy(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_constructible : bool_constant<__is_trivial(T)> {};
+
+    template <typename T>
+    struct is_trivially_copy_assignable
+        : bool_constant<
+              std::is_copy_assignable<T>::value && __has_trivial_assign(T)> {};
+
+    template <typename T>
+    struct is_trivially_move_assignable : bool_constant<__is_trivial(T)> {};
+#endif
+
+    template <typename T, bool>
+    struct dependent_type : T {};
+
+    template <typename Is, std::size_t J>
+    struct push_back;
+
+    template <typename Is, std::size_t J>
+    using push_back_t = typename push_back<Is, J>::type;
+
+    template <std::size_t... Is, std::size_t J>
+    struct push_back<index_sequence<Is...>, J> {
+      using type = index_sequence<Is..., J>;
+    };
+
+  }  // namespace lib
+}  // namespace mpark
+
+#undef MPARK_RETURN
+
+#endif  // MPARK_LIB_HPP
+
+
+namespace mpark {
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+
+#define AUTO auto
+#define AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto &&
+#define AUTO_REFREF_RETURN(...) { return __VA_ARGS__; }
+
+#define DECLTYPE_AUTO decltype(auto)
+#define DECLTYPE_AUTO_RETURN(...) { return __VA_ARGS__; }
+
+#else
+
+#define AUTO auto
+#define AUTO_RETURN(...) \
+  -> lib::decay_t<decltype(__VA_ARGS__)> { return __VA_ARGS__; }
+
+#define AUTO_REFREF auto
+#define AUTO_REFREF_RETURN(...)                                           \
+  -> decltype((__VA_ARGS__)) {                                            \
+    static_assert(std::is_reference<decltype((__VA_ARGS__))>::value, ""); \
+    return __VA_ARGS__;                                                   \
+  }
+
+#define DECLTYPE_AUTO auto
+#define DECLTYPE_AUTO_RETURN(...) \
+  -> decltype(__VA_ARGS__) { return __VA_ARGS__; }
+
+#endif
+
+  class bad_variant_access : public std::exception {
+    public:
+    virtual const char *what() const noexcept override { return "bad_variant_access"; }
+  };
+
+  [[noreturn]] inline void throw_bad_variant_access() {
+#ifdef MPARK_EXCEPTIONS
+    throw bad_variant_access{};
+#else
+    std::terminate();
+    MPARK_BUILTIN_UNREACHABLE;
+#endif
+  }
+
+  template <typename... Ts>
+  class variant;
+
+  template <typename T>
+  struct variant_size;
+
+#ifdef MPARK_VARIABLE_TEMPLATES
+  template <typename T>
+  constexpr std::size_t variant_size_v = variant_size<T>::value;
+#endif
+
+  template <typename T>
+  struct variant_size<const T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<volatile T> : variant_size<T> {};
+
+  template <typename T>
+  struct variant_size<const volatile T> : variant_size<T> {};
+
+  template <typename... Ts>
+  struct variant_size<variant<Ts...>> : lib::size_constant<sizeof...(Ts)> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative;
+
+  template <std::size_t I, typename T>
+  using variant_alternative_t = typename variant_alternative<I, T>::type;
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const T>
+      : std::add_const<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, volatile T>
+      : std::add_volatile<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename T>
+  struct variant_alternative<I, const volatile T>
+      : std::add_cv<variant_alternative_t<I, T>> {};
+
+  template <std::size_t I, typename... Ts>
+  struct variant_alternative<I, variant<Ts...>> {
+    static_assert(I < sizeof...(Ts),
+                  "index out of bounds in `std::variant_alternative<>`");
+    using type = lib::type_pack_element_t<I, Ts...>;
+  };
+
+  constexpr std::size_t variant_npos = static_cast<std::size_t>(-1);
+
+  namespace detail {
+
+    constexpr std::size_t not_found = static_cast<std::size_t>(-1);
+    constexpr std::size_t ambiguous = static_cast<std::size_t>(-2);
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      constexpr lib::array<bool, sizeof...(Ts)> matches = {
+          {std::is_same<T, Ts>::value...}
+      };
+      std::size_t result = not_found;
+      for (std::size_t i = 0; i < sizeof...(Ts); ++i) {
+        if (matches[i]) {
+          if (result != not_found) {
+            return ambiguous;
+          }
+          result = i;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t) {
+      return result;
+    }
+
+    template <typename... Bs>
+    inline constexpr std::size_t find_index_impl(std::size_t result,
+                                                 std::size_t idx,
+                                                 bool b,
+                                                 Bs... bs) {
+      return b ? (result != not_found ? ambiguous
+                                      : find_index_impl(idx, idx + 1, bs...))
+               : find_index_impl(result, idx + 1, bs...);
+    }
+
+    template <typename T, typename... Ts>
+    inline constexpr std::size_t find_index() {
+      return find_index_impl(not_found, 0, std::is_same<T, Ts>::value...);
+    }
+#endif
+
+    template <std::size_t I>
+    using find_index_sfinae_impl =
+        lib::enable_if_t<I != not_found && I != ambiguous,
+                         lib::size_constant<I>>;
+
+    template <typename T, typename... Ts>
+    using find_index_sfinae = find_index_sfinae_impl<find_index<T, Ts...>()>;
+
+    template <std::size_t I>
+    struct find_index_checked_impl : lib::size_constant<I> {
+      static_assert(I != not_found, "the specified type is not found.");
+      static_assert(I != ambiguous, "the specified type is ambiguous.");
+    };
+
+    template <typename T, typename... Ts>
+    using find_index_checked = find_index_checked_impl<find_index<T, Ts...>()>;
+
+    struct valueless_t {};
+
+    enum class Trait { TriviallyAvailable, Available, Unavailable };
+
+    template <typename T,
+              template <typename> class IsTriviallyAvailable,
+              template <typename> class IsAvailable>
+    inline constexpr Trait trait() {
+      return IsTriviallyAvailable<T>::value
+                 ? Trait::TriviallyAvailable
+                 : IsAvailable<T>::value ? Trait::Available
+                                         : Trait::Unavailable;
+    }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... traits_) {
+      Trait result = Trait::TriviallyAvailable;
+      lib::array<Trait, sizeof...(Traits)> traits = {{traits_...}};
+      for (std::size_t i = 0; i < sizeof...(Traits); ++i) {
+        Trait t = traits[i];
+        if (static_cast<int>(t) > static_cast<int>(result)) {
+          result = t;
+        }
+      }
+      return result;
+    }
+#else
+    inline constexpr Trait common_trait_impl(Trait result) { return result; }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait_impl(Trait result,
+                                             Trait t,
+                                             Traits... ts) {
+      return static_cast<int>(t) > static_cast<int>(result)
+                 ? common_trait_impl(t, ts...)
+                 : common_trait_impl(result, ts...);
+    }
+
+    template <typename... Traits>
+    inline constexpr Trait common_trait(Traits... ts) {
+      return common_trait_impl(Trait::TriviallyAvailable, ts...);
+    }
+#endif
+
+    template <typename... Ts>
+    struct traits {
+      static constexpr Trait copy_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_copy_constructible,
+                             std::is_copy_constructible>()...);
+
+      static constexpr Trait move_constructible_trait =
+          common_trait(trait<Ts,
+                             lib::is_trivially_move_constructible,
+                             std::is_move_constructible>()...);
+
+      static constexpr Trait copy_assignable_trait =
+          common_trait(copy_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_copy_assignable,
+                             std::is_copy_assignable>()...);
+
+      static constexpr Trait move_assignable_trait =
+          common_trait(move_constructible_trait,
+                       trait<Ts,
+                             lib::is_trivially_move_assignable,
+                             std::is_move_assignable>()...);
+
+      static constexpr Trait destructible_trait =
+          common_trait(trait<Ts,
+                             std::is_trivially_destructible,
+                             std::is_destructible>()...);
+    };
+
+    namespace access {
+
+      struct recursive_union {
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename V>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<0>) {
+          return lib::forward<V>(v).head_;
+        }
+
+        template <typename V, std::size_t I>
+        inline static constexpr auto &&get_alt(V &&v, in_place_index_t<I>) {
+          return get_alt(lib::forward<V>(v).tail_, in_place_index_t<I - 1>{});
+        }
+#else
+        template <std::size_t I, bool Dummy = true>
+        struct get_alt_impl {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(get_alt_impl<I - 1>{}(lib::forward<V>(v).tail_))
+        };
+
+        template <bool Dummy>
+        struct get_alt_impl<0, Dummy> {
+          template <typename V>
+          inline constexpr AUTO_REFREF operator()(V &&v) const
+            AUTO_REFREF_RETURN(lib::forward<V>(v).head_)
+        };
+
+        template <typename V, std::size_t I>
+        inline static constexpr AUTO_REFREF get_alt(V &&v, in_place_index_t<I>)
+          AUTO_REFREF_RETURN(get_alt_impl<I>{}(lib::forward<V>(v)))
+#endif
+      };
+
+      struct base {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+#ifdef _MSC_VER
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              lib::forward<V>(v).data_, in_place_index_t<I>{}))
+#else
+          AUTO_REFREF_RETURN(recursive_union::get_alt(
+              data(lib::forward<V>(v)), in_place_index_t<I>{}))
+#endif
+      };
+
+      struct variant {
+        template <std::size_t I, typename V>
+        inline static constexpr AUTO_REFREF get_alt(V &&v)
+          AUTO_REFREF_RETURN(base::get_alt<I>(lib::forward<V>(v).impl_))
+      };
+
+    }  // namespace access
+
+    namespace visitation {
+
+#if defined(MPARK_CPP14_CONSTEXPR) && !defined(_MSC_VER)
+#define MPARK_VARIANT_SWITCH_VISIT
+#endif
+
+      struct base {
+        template <typename Visitor, typename... Vs>
+        using dispatch_result_t = decltype(
+            lib::invoke(std::declval<Visitor>(),
+                        access::base::get_alt<0>(std::declval<Vs>())...));
+
+        template <typename Expected>
+        struct expected {
+          template <typename Actual>
+          inline static constexpr bool but_got() {
+            return std::is_same<Expected, Actual>::value;
+          }
+        };
+
+        template <typename Expected, typename Actual>
+        struct visit_return_type_check {
+          static_assert(
+              expected<Expected>::template but_got<Actual>(),
+              "`visit` requires the visitor to have a single return type");
+
+          template <typename Visitor, typename... Alts>
+          inline static constexpr DECLTYPE_AUTO invoke(Visitor &&visitor,
+                                                       Alts &&... alts)
+            DECLTYPE_AUTO_RETURN(lib::invoke(lib::forward<Visitor>(visitor),
+                                             lib::forward<Alts>(alts)...))
+        };
+
+#ifdef MPARK_VARIANT_SWITCH_VISIT
+        template <bool B, typename R, typename... ITs>
+        struct dispatcher;
+
+        template <typename R, typename... ITs>
+        struct dispatcher<false, R, ITs...> {
+          template <std::size_t B, typename F, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch(
+              F &&, typename ITs::type &&..., Vs &&...) {
+            MPARK_BUILTIN_UNREACHABLE;
+          }
+
+          template <std::size_t I, typename F, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch_case(F &&, Vs &&...) {
+            MPARK_BUILTIN_UNREACHABLE;
+          }
+
+          template <std::size_t B, typename F, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch_at(std::size_t,
+                                                             F &&,
+                                                             Vs &&...) {
+            MPARK_BUILTIN_UNREACHABLE;
+          }
+        };
+
+        template <typename R, typename... ITs>
+        struct dispatcher<true, R, ITs...> {
+          template <std::size_t B, typename F>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch(
+              F &&f, typename ITs::type &&... visited_vs) {
+            using Expected = R;
+            using Actual = decltype(lib::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<ITs::value>(
+                    lib::forward<typename ITs::type>(visited_vs))...));
+            return visit_return_type_check<Expected, Actual>::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<ITs::value>(
+                    lib::forward<typename ITs::type>(visited_vs))...);
+          }
+
+          template <std::size_t B, typename F, typename V, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch(
+              F &&f, typename ITs::type &&... visited_vs, V &&v, Vs &&... vs) {
+#define MPARK_DISPATCH(I)                                                   \
+  dispatcher<(I < lib::decay_t<V>::size()),                                 \
+             R,                                                             \
+             ITs...,                                                        \
+             lib::indexed_type<I, V>>::                                     \
+      template dispatch<0>(lib::forward<F>(f),                              \
+                           lib::forward<typename ITs::type>(visited_vs)..., \
+                           lib::forward<V>(v),                              \
+                           lib::forward<Vs>(vs)...)
+
+#define MPARK_DEFAULT(I)                                                      \
+  dispatcher<(I < lib::decay_t<V>::size()), R, ITs...>::template dispatch<I>( \
+      lib::forward<F>(f),                                                     \
+      lib::forward<typename ITs::type>(visited_vs)...,                        \
+      lib::forward<V>(v),                                                     \
+      lib::forward<Vs>(vs)...)
+
+            switch (v.index()) {
+              case B + 0: return MPARK_DISPATCH(B + 0);
+              case B + 1: return MPARK_DISPATCH(B + 1);
+              case B + 2: return MPARK_DISPATCH(B + 2);
+              case B + 3: return MPARK_DISPATCH(B + 3);
+              case B + 4: return MPARK_DISPATCH(B + 4);
+              case B + 5: return MPARK_DISPATCH(B + 5);
+              case B + 6: return MPARK_DISPATCH(B + 6);
+              case B + 7: return MPARK_DISPATCH(B + 7);
+              case B + 8: return MPARK_DISPATCH(B + 8);
+              case B + 9: return MPARK_DISPATCH(B + 9);
+              case B + 10: return MPARK_DISPATCH(B + 10);
+              case B + 11: return MPARK_DISPATCH(B + 11);
+              case B + 12: return MPARK_DISPATCH(B + 12);
+              case B + 13: return MPARK_DISPATCH(B + 13);
+              case B + 14: return MPARK_DISPATCH(B + 14);
+              case B + 15: return MPARK_DISPATCH(B + 15);
+              case B + 16: return MPARK_DISPATCH(B + 16);
+              case B + 17: return MPARK_DISPATCH(B + 17);
+              case B + 18: return MPARK_DISPATCH(B + 18);
+              case B + 19: return MPARK_DISPATCH(B + 19);
+              case B + 20: return MPARK_DISPATCH(B + 20);
+              case B + 21: return MPARK_DISPATCH(B + 21);
+              case B + 22: return MPARK_DISPATCH(B + 22);
+              case B + 23: return MPARK_DISPATCH(B + 23);
+              case B + 24: return MPARK_DISPATCH(B + 24);
+              case B + 25: return MPARK_DISPATCH(B + 25);
+              case B + 26: return MPARK_DISPATCH(B + 26);
+              case B + 27: return MPARK_DISPATCH(B + 27);
+              case B + 28: return MPARK_DISPATCH(B + 28);
+              case B + 29: return MPARK_DISPATCH(B + 29);
+              case B + 30: return MPARK_DISPATCH(B + 30);
+              case B + 31: return MPARK_DISPATCH(B + 31);
+              default: return MPARK_DEFAULT(B + 32);
+            }
+
+#undef MPARK_DEFAULT
+#undef MPARK_DISPATCH
+          }
+
+          template <std::size_t I, typename F, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch_case(F &&f,
+                                                               Vs &&... vs) {
+            using Expected = R;
+            using Actual = decltype(
+                lib::invoke(lib::forward<F>(f),
+                            access::base::get_alt<I>(lib::forward<Vs>(vs))...));
+            return visit_return_type_check<Expected, Actual>::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<I>(lib::forward<Vs>(vs))...);
+          }
+
+          template <std::size_t B, typename F, typename V, typename... Vs>
+          MPARK_ALWAYS_INLINE static constexpr R dispatch_at(std::size_t index,
+                                                             F &&f,
+                                                             V &&v,
+                                                             Vs &&... vs) {
+            static_assert(lib::all<(lib::decay_t<V>::size() ==
+                                    lib::decay_t<Vs>::size())...>::value,
+                          "all of the variants must be the same size.");
+#define MPARK_DISPATCH_AT(I)                                               \
+  dispatcher<(I < lib::decay_t<V>::size()), R>::template dispatch_case<I>( \
+      lib::forward<F>(f), lib::forward<V>(v), lib::forward<Vs>(vs)...)
+
+#define MPARK_DEFAULT(I)                                                 \
+  dispatcher<(I < lib::decay_t<V>::size()), R>::template dispatch_at<I>( \
+      index, lib::forward<F>(f), lib::forward<V>(v), lib::forward<Vs>(vs)...)
+
+            switch (index) {
+              case B + 0: return MPARK_DISPATCH_AT(B + 0);
+              case B + 1: return MPARK_DISPATCH_AT(B + 1);
+              case B + 2: return MPARK_DISPATCH_AT(B + 2);
+              case B + 3: return MPARK_DISPATCH_AT(B + 3);
+              case B + 4: return MPARK_DISPATCH_AT(B + 4);
+              case B + 5: return MPARK_DISPATCH_AT(B + 5);
+              case B + 6: return MPARK_DISPATCH_AT(B + 6);
+              case B + 7: return MPARK_DISPATCH_AT(B + 7);
+              case B + 8: return MPARK_DISPATCH_AT(B + 8);
+              case B + 9: return MPARK_DISPATCH_AT(B + 9);
+              case B + 10: return MPARK_DISPATCH_AT(B + 10);
+              case B + 11: return MPARK_DISPATCH_AT(B + 11);
+              case B + 12: return MPARK_DISPATCH_AT(B + 12);
+              case B + 13: return MPARK_DISPATCH_AT(B + 13);
+              case B + 14: return MPARK_DISPATCH_AT(B + 14);
+              case B + 15: return MPARK_DISPATCH_AT(B + 15);
+              case B + 16: return MPARK_DISPATCH_AT(B + 16);
+              case B + 17: return MPARK_DISPATCH_AT(B + 17);
+              case B + 18: return MPARK_DISPATCH_AT(B + 18);
+              case B + 19: return MPARK_DISPATCH_AT(B + 19);
+              case B + 20: return MPARK_DISPATCH_AT(B + 20);
+              case B + 21: return MPARK_DISPATCH_AT(B + 21);
+              case B + 22: return MPARK_DISPATCH_AT(B + 22);
+              case B + 23: return MPARK_DISPATCH_AT(B + 23);
+              case B + 24: return MPARK_DISPATCH_AT(B + 24);
+              case B + 25: return MPARK_DISPATCH_AT(B + 25);
+              case B + 26: return MPARK_DISPATCH_AT(B + 26);
+              case B + 27: return MPARK_DISPATCH_AT(B + 27);
+              case B + 28: return MPARK_DISPATCH_AT(B + 28);
+              case B + 29: return MPARK_DISPATCH_AT(B + 29);
+              case B + 30: return MPARK_DISPATCH_AT(B + 30);
+              case B + 31: return MPARK_DISPATCH_AT(B + 31);
+              default: return MPARK_DEFAULT(B + 32);
+            }
+
+#undef MPARK_DEFAULT
+#undef MPARK_DISPATCH_AT
+          }
+        };
+#else
+        template <typename T>
+        inline static constexpr const T &at(const T &elem) noexcept {
+          return elem;
+        }
+
+        template <typename T, std::size_t N, typename... Is>
+        inline static constexpr const lib::remove_all_extents_t<T> &at(
+            const lib::array<T, N> &elems, std::size_t i, Is... is) noexcept {
+          return at(elems[i], is...);
+        }
+
+        template <typename F, typename... Fs>
+        inline static constexpr lib::array<lib::decay_t<F>, sizeof...(Fs) + 1>
+        make_farray(F &&f, Fs &&... fs) {
+          return {{lib::forward<F>(f), lib::forward<Fs>(fs)...}};
+        }
+
+        template <typename F, typename... Vs>
+        struct make_fmatrix_impl {
+
+          template <std::size_t... Is>
+          inline static constexpr dispatch_result_t<F, Vs...> dispatch(
+              F &&f, Vs &&... vs) {
+            using Expected = dispatch_result_t<F, Vs...>;
+            using Actual = decltype(lib::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<Is>(lib::forward<Vs>(vs))...));
+            return visit_return_type_check<Expected, Actual>::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<Is>(lib::forward<Vs>(vs))...);
+          }
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+          template <std::size_t... Is>
+          inline static constexpr auto impl(lib::index_sequence<Is...>) {
+            return &dispatch<Is...>;
+          }
+
+          template <typename Is, std::size_t... Js, typename... Ls>
+          inline static constexpr auto impl(Is,
+                                            lib::index_sequence<Js...>,
+                                            Ls... ls) {
+            return make_farray(impl(lib::push_back_t<Is, Js>{}, ls...)...);
+          }
+#else
+          template <typename...>
+          struct impl;
+
+          template <std::size_t... Is>
+          struct impl<lib::index_sequence<Is...>> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(&dispatch<Is...>)
+          };
+
+          template <typename Is, std::size_t... Js, typename... Ls>
+          struct impl<Is, lib::index_sequence<Js...>, Ls...> {
+            inline constexpr AUTO operator()() const
+              AUTO_RETURN(
+                  make_farray(impl<lib::push_back_t<Is, Js>, Ls...>{}()...))
+          };
+#endif
+        };
+
+#ifdef MPARK_RETURN_TYPE_DEDUCTION
+        template <typename F, typename... Vs>
+        inline static constexpr auto make_fmatrix() {
+          return make_fmatrix_impl<F, Vs...>::impl(
+              lib::index_sequence<>{},
+              lib::make_index_sequence<lib::decay_t<Vs>::size()>{}...);
+        }
+#else
+        template <typename F, typename... Vs>
+        inline static constexpr AUTO make_fmatrix()
+          AUTO_RETURN(
+              typename make_fmatrix_impl<F, Vs...>::template impl<
+                  lib::index_sequence<>,
+                  lib::make_index_sequence<lib::decay_t<Vs>::size()>...>{}())
+#endif
+
+        template <typename F, typename... Vs>
+        struct make_fdiagonal_impl {
+          template <std::size_t I>
+          inline static constexpr dispatch_result_t<F, Vs...> dispatch(
+              F &&f, Vs &&... vs) {
+            using Expected = dispatch_result_t<F, Vs...>;
+            using Actual = decltype(
+                lib::invoke(lib::forward<F>(f),
+                            access::base::get_alt<I>(lib::forward<Vs>(vs))...));
+            return visit_return_type_check<Expected, Actual>::invoke(
+                lib::forward<F>(f),
+                access::base::get_alt<I>(lib::forward<Vs>(vs))...);
+          }
+
+          template <std::size_t... Is>
+          inline static constexpr AUTO impl(lib::index_sequence<Is...>)
+            AUTO_RETURN(make_farray(&dispatch<Is>...))
+        };
+
+        template <typename F, typename V, typename... Vs>
+        inline static constexpr auto make_fdiagonal()
+            -> decltype(make_fdiagonal_impl<F, V, Vs...>::impl(
+                lib::make_index_sequence<lib::decay_t<V>::size()>{})) {
+          static_assert(lib::all<(lib::decay_t<V>::size() ==
+                                  lib::decay_t<Vs>::size())...>::value,
+                        "all of the variants must be the same size.");
+          return make_fdiagonal_impl<F, V, Vs...>::impl(
+              lib::make_index_sequence<lib::decay_t<V>::size()>{});
+        }
+#endif
+      };
+
+#if !defined(MPARK_VARIANT_SWITCH_VISIT) && \
+    (!defined(_MSC_VER) || _MSC_VER >= 1910)
+      template <typename F, typename... Vs>
+      using fmatrix_t = decltype(base::make_fmatrix<F, Vs...>());
+
+      template <typename F, typename... Vs>
+      struct fmatrix {
+        static constexpr fmatrix_t<F, Vs...> value =
+            base::make_fmatrix<F, Vs...>();
+      };
+
+      template <typename F, typename... Vs>
+      constexpr fmatrix_t<F, Vs...> fmatrix<F, Vs...>::value;
+
+      template <typename F, typename... Vs>
+      using fdiagonal_t = decltype(base::make_fdiagonal<F, Vs...>());
+
+      template <typename F, typename... Vs>
+      struct fdiagonal {
+        static constexpr fdiagonal_t<F, Vs...> value =
+            base::make_fdiagonal<F, Vs...>();
+      };
+
+      template <typename F, typename... Vs>
+      constexpr fdiagonal_t<F, Vs...> fdiagonal<F, Vs...>::value;
+#endif
+
+      struct alt {
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+#ifdef MPARK_VARIANT_SWITCH_VISIT
+          DECLTYPE_AUTO_RETURN(
+              base::dispatcher<
+                  true,
+                  base::dispatch_result_t<Visitor,
+                                          decltype(as_base(
+                                              lib::forward<Vs>(vs)))...>>::
+                  template dispatch<0>(lib::forward<Visitor>(visitor),
+                                       as_base(lib::forward<Vs>(vs))...))
+#elif !defined(_MSC_VER) || _MSC_VER >= 1910
+          DECLTYPE_AUTO_RETURN(base::at(
+              fmatrix<Visitor &&,
+                      decltype(as_base(lib::forward<Vs>(vs)))...>::value,
+              vs.index()...)(lib::forward<Visitor>(visitor),
+                             as_base(lib::forward<Vs>(vs))...))
+#else
+          DECLTYPE_AUTO_RETURN(base::at(
+              base::make_fmatrix<Visitor &&,
+                      decltype(as_base(lib::forward<Vs>(vs)))...>(),
+              vs.index()...)(lib::forward<Visitor>(visitor),
+                             as_base(lib::forward<Vs>(vs))...))
+#endif
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+#ifdef MPARK_VARIANT_SWITCH_VISIT
+          DECLTYPE_AUTO_RETURN(
+              base::dispatcher<
+                  true,
+                  base::dispatch_result_t<Visitor,
+                                          decltype(as_base(
+                                              lib::forward<Vs>(vs)))...>>::
+                  template dispatch_at<0>(index,
+                                          lib::forward<Visitor>(visitor),
+                                          as_base(lib::forward<Vs>(vs))...))
+#elif !defined(_MSC_VER) || _MSC_VER >= 1910
+          DECLTYPE_AUTO_RETURN(base::at(
+              fdiagonal<Visitor &&,
+                        decltype(as_base(lib::forward<Vs>(vs)))...>::value,
+              index)(lib::forward<Visitor>(visitor),
+                     as_base(lib::forward<Vs>(vs))...))
+#else
+          DECLTYPE_AUTO_RETURN(base::at(
+              base::make_fdiagonal<Visitor &&,
+                        decltype(as_base(lib::forward<Vs>(vs)))...>(),
+              index)(lib::forward<Visitor>(visitor),
+                     as_base(lib::forward<Vs>(vs))...))
+#endif
+      };
+
+      struct variant {
+        private:
+        template <typename Visitor>
+        struct visitor {
+          template <typename... Values>
+          inline static constexpr bool does_not_handle() {
+            return lib::is_invocable<Visitor, Values...>::value;
+          }
+        };
+
+        template <typename Visitor, typename... Values>
+        struct visit_exhaustiveness_check {
+          static_assert(visitor<Visitor>::template does_not_handle<Values...>(),
+                        "`visit` requires the visitor to be exhaustive.");
+
+          inline static constexpr DECLTYPE_AUTO invoke(Visitor &&visitor,
+                                                       Values &&... values)
+            DECLTYPE_AUTO_RETURN(lib::invoke(lib::forward<Visitor>(visitor),
+                                             lib::forward<Values>(values)...))
+        };
+
+        template <typename Visitor>
+        struct value_visitor {
+          Visitor &&visitor_;
+
+          template <typename... Alts>
+          inline constexpr DECLTYPE_AUTO operator()(Alts &&... alts) const
+            DECLTYPE_AUTO_RETURN(
+                visit_exhaustiveness_check<
+                    Visitor,
+                    decltype((lib::forward<Alts>(alts).value))...>::
+                    invoke(lib::forward<Visitor>(visitor_),
+                           lib::forward<Alts>(alts).value...))
+        };
+
+        template <typename Visitor>
+        inline static constexpr AUTO make_value_visitor(Visitor &&visitor)
+          AUTO_RETURN(value_visitor<Visitor>{lib::forward<Visitor>(visitor)})
+
+        public:
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt(Visitor &&visitor,
+                                                        Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(alt::visit_alt(lib::forward<Visitor>(visitor),
+                                              lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_alt_at(std::size_t index,
+                                                           Visitor &&visitor,
+                                                           Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              alt::visit_alt_at(index,
+                                lib::forward<Visitor>(visitor),
+                                lib::forward<Vs>(vs).impl_...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value(Visitor &&visitor,
+                                                          Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt(make_value_visitor(lib::forward<Visitor>(visitor)),
+                        lib::forward<Vs>(vs)...))
+
+        template <typename Visitor, typename... Vs>
+        inline static constexpr DECLTYPE_AUTO visit_value_at(std::size_t index,
+                                                             Visitor &&visitor,
+                                                             Vs &&... vs)
+          DECLTYPE_AUTO_RETURN(
+              visit_alt_at(index,
+                           make_value_visitor(lib::forward<Visitor>(visitor)),
+                           lib::forward<Vs>(vs)...))
+      };
+
+    }  // namespace visitation
+
+    template <std::size_t Index, typename T>
+    struct alt {
+      using value_type = T;
+
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+      template <typename... Args>
+      inline explicit constexpr alt(in_place_t, Args &&... args)
+          : value(lib::forward<Args>(args)...) {}
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+
+      T value;
+    };
+
+    template <Trait DestructibleTrait, std::size_t Index, typename... Ts>
+    union recursive_union;
+
+    template <Trait DestructibleTrait, std::size_t Index>
+    union recursive_union<DestructibleTrait, Index> {};
+
+#define MPARK_VARIANT_RECURSIVE_UNION(destructible_trait, destructor)      \
+  template <std::size_t Index, typename T, typename... Ts>                 \
+  union recursive_union<destructible_trait, Index, T, Ts...> {             \
+    public:                                                                \
+    inline explicit constexpr recursive_union(valueless_t) noexcept        \
+        : dummy_{} {}                                                      \
+                                                                           \
+    template <typename... Args>                                            \
+    inline explicit constexpr recursive_union(in_place_index_t<0>,         \
+                                              Args &&... args)             \
+        : head_(in_place_t{}, lib::forward<Args>(args)...) {}              \
+                                                                           \
+    template <std::size_t I, typename... Args>                             \
+    inline explicit constexpr recursive_union(in_place_index_t<I>,         \
+                                              Args &&... args)             \
+        : tail_(in_place_index_t<I - 1>{}, lib::forward<Args>(args)...) {} \
+                                                                           \
+    recursive_union(const recursive_union &) = default;                    \
+    recursive_union(recursive_union &&) = default;                         \
+                                                                           \
+    destructor                                                             \
+                                                                           \
+    recursive_union &operator=(const recursive_union &) = default;         \
+    recursive_union &operator=(recursive_union &&) = default;              \
+                                                                           \
+    private:                                                               \
+    char dummy_;                                                           \
+    alt<Index, T> head_;                                                   \
+    recursive_union<destructible_trait, Index + 1, Ts...> tail_;           \
+                                                                           \
+    friend struct access::recursive_union;                                 \
+  }
+
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::TriviallyAvailable,
+                                  ~recursive_union() = default;);
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Available,
+                                  ~recursive_union() {});
+    MPARK_VARIANT_RECURSIVE_UNION(Trait::Unavailable,
+                                  ~recursive_union() = delete;);
+
+#undef MPARK_VARIANT_RECURSIVE_UNION
+
+    using index_t = unsigned int;
+
+    template <Trait DestructibleTrait, typename... Ts>
+    class base {
+      public:
+      inline explicit constexpr base(valueless_t tag) noexcept
+          : data_(tag), index_(static_cast<index_t>(-1)) {}
+
+      template <std::size_t I, typename... Args>
+      inline explicit constexpr base(in_place_index_t<I>, Args &&... args)
+          : data_(in_place_index_t<I>{}, lib::forward<Args>(args)...),
+            index_(I) {}
+
+      inline constexpr bool valueless_by_exception() const noexcept {
+        return index_ == static_cast<index_t>(-1);
+      }
+
+      inline constexpr std::size_t index() const noexcept {
+        return valueless_by_exception() ? variant_npos : index_;
+      }
+
+      protected:
+      using data_t = recursive_union<DestructibleTrait, 0, Ts...>;
+
+      friend inline constexpr base &as_base(base &b) { return b; }
+      friend inline constexpr const base &as_base(const base &b) { return b; }
+      friend inline constexpr base &&as_base(base &&b) { return lib::move(b); }
+      friend inline constexpr const base &&as_base(const base &&b) { return lib::move(b); }
+
+      friend inline constexpr data_t &data(base &b) { return b.data_; }
+      friend inline constexpr const data_t &data(const base &b) { return b.data_; }
+      friend inline constexpr data_t &&data(base &&b) { return lib::move(b).data_; }
+      friend inline constexpr const data_t &&data(const base &&b) { return lib::move(b).data_; }
+
+      inline static constexpr std::size_t size() { return sizeof...(Ts); }
+
+      data_t data_;
+      index_t index_;
+
+      friend struct access::base;
+      friend struct visitation::base;
+    };
+
+    struct dtor {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4100)
+#endif
+      template <typename Alt>
+      inline void operator()(Alt &alt) const noexcept { alt.~Alt(); }
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+    };
+
+#if !defined(_MSC_VER) || _MSC_VER >= 1910
+#define MPARK_INHERITING_CTOR(type, base) using base::base;
+#else
+#define MPARK_INHERITING_CTOR(type, base)         \
+  template <typename... Args>                     \
+  inline explicit constexpr type(Args &&... args) \
+      : base(lib::forward<Args>(args)...) {}
+#endif
+
+    template <typename Traits, Trait = Traits::destructible_trait>
+    class destructor;
+
+#define MPARK_VARIANT_DESTRUCTOR(destructible_trait, definition, destroy) \
+  template <typename... Ts>                                               \
+  class destructor<traits<Ts...>, destructible_trait>                     \
+      : public base<destructible_trait, Ts...> {                          \
+    using super = base<destructible_trait, Ts...>;                        \
+                                                                          \
+    public:                                                               \
+    MPARK_INHERITING_CTOR(destructor, super)                              \
+    using super::operator=;                                               \
+                                                                          \
+    destructor(const destructor &) = default;                             \
+    destructor(destructor &&) = default;                                  \
+    definition                                                            \
+    destructor &operator=(const destructor &) = default;                  \
+    destructor &operator=(destructor &&) = default;                       \
+                                                                          \
+    protected:                                                            \
+    destroy                                                               \
+  }
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::TriviallyAvailable,
+        ~destructor() = default;,
+        inline void destroy() noexcept {
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Available,
+        ~destructor() { destroy(); },
+        inline void destroy() noexcept {
+          if (!this->valueless_by_exception()) {
+            visitation::alt::visit_alt(dtor{}, *this);
+          }
+          this->index_ = static_cast<index_t>(-1);
+        });
+
+    MPARK_VARIANT_DESTRUCTOR(
+        Trait::Unavailable,
+        ~destructor() = delete;,
+        inline void destroy() noexcept = delete;);
+
+#undef MPARK_VARIANT_DESTRUCTOR
+
+    template <typename Traits>
+    class constructor : public destructor<Traits> {
+      using super = destructor<Traits>;
+
+      public:
+      MPARK_INHERITING_CTOR(constructor, super)
+      using super::operator=;
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct ctor {
+        template <typename LhsAlt, typename RhsAlt>
+        inline void operator()(LhsAlt &lhs_alt, RhsAlt &&rhs_alt) const {
+          constructor::construct_alt(lhs_alt,
+                                     lib::forward<RhsAlt>(rhs_alt).value);
+        }
+      };
+#endif
+
+      template <std::size_t I, typename T, typename... Args>
+      inline static T &construct_alt(alt<I, T> &a, Args &&... args) {
+        auto *result = ::new (static_cast<void *>(lib::addressof(a)))
+            alt<I, T>(in_place_t{}, lib::forward<Args>(args)...);
+        return result->value;
+      }
+
+      template <typename Rhs>
+      inline static void generic_construct(constructor &lhs, Rhs &&rhs) {
+        lhs.destroy();
+        if (!rhs.valueless_by_exception()) {
+          visitation::alt::visit_alt_at(
+              rhs.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [](auto &lhs_alt, auto &&rhs_alt) {
+                constructor::construct_alt(
+                    lhs_alt, lib::forward<decltype(rhs_alt)>(rhs_alt).value);
+              }
+#else
+              ctor{}
+#endif
+              ,
+              lhs,
+              lib::forward<Rhs>(rhs));
+          lhs.index_ = rhs.index_;
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_constructible_trait>
+    class move_constructor;
+
+#define MPARK_VARIANT_MOVE_CONSTRUCTOR(move_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class move_constructor<traits<Ts...>, move_constructible_trait>            \
+      : public constructor<traits<Ts...>> {                                  \
+    using super = constructor<traits<Ts...>>;                                \
+                                                                             \
+    public:                                                                  \
+    MPARK_INHERITING_CTOR(move_constructor, super)                           \
+    using super::operator=;                                                  \
+                                                                             \
+    move_constructor(const move_constructor &) = default;                    \
+    definition                                                               \
+    ~move_constructor() = default;                                           \
+    move_constructor &operator=(const move_constructor &) = default;         \
+    move_constructor &operator=(move_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        move_constructor(move_constructor &&that) = default;);
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Available,
+        move_constructor(move_constructor &&that) noexcept(
+            lib::all<std::is_nothrow_move_constructible<Ts>::value...>::value)
+            : move_constructor(valueless_t{}) {
+          this->generic_construct(*this, lib::move(that));
+        });
+
+    MPARK_VARIANT_MOVE_CONSTRUCTOR(
+        Trait::Unavailable,
+        move_constructor(move_constructor &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_CONSTRUCTOR
+
+    template <typename Traits, Trait = Traits::copy_constructible_trait>
+    class copy_constructor;
+
+#define MPARK_VARIANT_COPY_CONSTRUCTOR(copy_constructible_trait, definition) \
+  template <typename... Ts>                                                  \
+  class copy_constructor<traits<Ts...>, copy_constructible_trait>            \
+      : public move_constructor<traits<Ts...>> {                             \
+    using super = move_constructor<traits<Ts...>>;                           \
+                                                                             \
+    public:                                                                  \
+    MPARK_INHERITING_CTOR(copy_constructor, super)                           \
+    using super::operator=;                                                  \
+                                                                             \
+    definition                                                               \
+    copy_constructor(copy_constructor &&) = default;                         \
+    ~copy_constructor() = default;                                           \
+    copy_constructor &operator=(const copy_constructor &) = default;         \
+    copy_constructor &operator=(copy_constructor &&) = default;              \
+  }
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::TriviallyAvailable,
+        copy_constructor(const copy_constructor &that) = default;);
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Available,
+        copy_constructor(const copy_constructor &that)
+            : copy_constructor(valueless_t{}) {
+          this->generic_construct(*this, that);
+        });
+
+    MPARK_VARIANT_COPY_CONSTRUCTOR(
+        Trait::Unavailable,
+        copy_constructor(const copy_constructor &) = delete;);
+
+#undef MPARK_VARIANT_COPY_CONSTRUCTOR
+
+    template <typename Traits>
+    class assignment : public copy_constructor<Traits> {
+      using super = copy_constructor<Traits>;
+
+      public:
+      MPARK_INHERITING_CTOR(assignment, super)
+      using super::operator=;
+
+      template <std::size_t I, typename... Args>
+      inline /* auto & */ auto emplace(Args &&... args)
+          -> decltype(this->construct_alt(access::base::get_alt<I>(*this),
+                                          lib::forward<Args>(args)...)) {
+        this->destroy();
+        auto &result = this->construct_alt(access::base::get_alt<I>(*this),
+                                           lib::forward<Args>(args)...);
+        this->index_ = I;
+        return result;
+      }
+
+      protected:
+#ifndef MPARK_GENERIC_LAMBDAS
+      template <typename That>
+      struct assigner {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &&that_alt) const {
+          self->assign_alt(this_alt, lib::forward<ThatAlt>(that_alt).value);
+        }
+        assignment *self;
+      };
+#endif
+
+      template <std::size_t I, typename T, typename Arg>
+      inline void assign_alt(alt<I, T> &a, Arg &&arg) {
+        if (this->index() == I) {
+#ifdef _MSC_VER
+#pragma warning(push)
+#pragma warning(disable : 4244)
+#endif
+          a.value = lib::forward<Arg>(arg);
+#ifdef _MSC_VER
+#pragma warning(pop)
+#endif
+        } else {
+          struct {
+            void operator()(std::true_type) const {
+              this_->emplace<I>(lib::forward<Arg>(arg_));
+            }
+            void operator()(std::false_type) const {
+              this_->emplace<I>(T(lib::forward<Arg>(arg_)));
+            }
+            assignment *this_;
+            Arg &&arg_;
+          } impl{this, lib::forward<Arg>(arg)};
+          impl(lib::bool_constant<
+                   std::is_nothrow_constructible<T, Arg>::value ||
+                   !std::is_nothrow_move_constructible<T>::value>{});
+        }
+      }
+
+      template <typename That>
+      inline void generic_assign(That &&that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (that.valueless_by_exception()) {
+          this->destroy();
+        } else {
+          visitation::alt::visit_alt_at(
+              that.index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+              [this](auto &this_alt, auto &&that_alt) {
+                this->assign_alt(
+                    this_alt, lib::forward<decltype(that_alt)>(that_alt).value);
+              }
+#else
+              assigner<That>{this}
+#endif
+              ,
+              *this,
+              lib::forward<That>(that));
+        }
+      }
+    };
+
+    template <typename Traits, Trait = Traits::move_assignable_trait>
+    class move_assignment;
+
+#define MPARK_VARIANT_MOVE_ASSIGNMENT(move_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class move_assignment<traits<Ts...>, move_assignable_trait>            \
+      : public assignment<traits<Ts...>> {                               \
+    using super = assignment<traits<Ts...>>;                             \
+                                                                         \
+    public:                                                              \
+    MPARK_INHERITING_CTOR(move_assignment, super)                        \
+    using super::operator=;                                              \
+                                                                         \
+    move_assignment(const move_assignment &) = default;                  \
+    move_assignment(move_assignment &&) = default;                       \
+    ~move_assignment() = default;                                        \
+    move_assignment &operator=(const move_assignment &) = default;       \
+    definition                                                           \
+  }
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        move_assignment &operator=(move_assignment &&that) = default;);
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Available,
+        move_assignment &
+        operator=(move_assignment &&that) noexcept(
+            lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                      std::is_nothrow_move_assignable<Ts>::value)...>::value) {
+          this->generic_assign(lib::move(that));
+          return *this;
+        });
+
+    MPARK_VARIANT_MOVE_ASSIGNMENT(
+        Trait::Unavailable,
+        move_assignment &operator=(move_assignment &&) = delete;);
+
+#undef MPARK_VARIANT_MOVE_ASSIGNMENT
+
+    template <typename Traits, Trait = Traits::copy_assignable_trait>
+    class copy_assignment;
+
+#define MPARK_VARIANT_COPY_ASSIGNMENT(copy_assignable_trait, definition) \
+  template <typename... Ts>                                              \
+  class copy_assignment<traits<Ts...>, copy_assignable_trait>            \
+      : public move_assignment<traits<Ts...>> {                          \
+    using super = move_assignment<traits<Ts...>>;                        \
+                                                                         \
+    public:                                                              \
+    MPARK_INHERITING_CTOR(copy_assignment, super)                        \
+    using super::operator=;                                              \
+                                                                         \
+    copy_assignment(const copy_assignment &) = default;                  \
+    copy_assignment(copy_assignment &&) = default;                       \
+    ~copy_assignment() = default;                                        \
+    definition                                                           \
+    copy_assignment &operator=(copy_assignment &&) = default;            \
+  }
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::TriviallyAvailable,
+        copy_assignment &operator=(const copy_assignment &that) = default;);
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Available,
+        copy_assignment &operator=(const copy_assignment &that) {
+          this->generic_assign(that);
+          return *this;
+        });
+
+    MPARK_VARIANT_COPY_ASSIGNMENT(
+        Trait::Unavailable,
+        copy_assignment &operator=(const copy_assignment &) = delete;);
+
+#undef MPARK_VARIANT_COPY_ASSIGNMENT
+
+    template <typename... Ts>
+    class impl : public copy_assignment<traits<Ts...>> {
+      using super = copy_assignment<traits<Ts...>>;
+
+      public:
+      MPARK_INHERITING_CTOR(impl, super)
+      using super::operator=;
+
+      template <std::size_t I, typename Arg>
+      inline void assign(Arg &&arg) {
+        this->assign_alt(access::base::get_alt<I>(*this),
+                         lib::forward<Arg>(arg));
+      }
+
+      inline void swap(impl &that) {
+        if (this->valueless_by_exception() && that.valueless_by_exception()) {
+          // do nothing.
+        } else if (this->index() == that.index()) {
+          visitation::alt::visit_alt_at(this->index(),
+#ifdef MPARK_GENERIC_LAMBDAS
+                                        [](auto &this_alt, auto &that_alt) {
+                                          using std::swap;
+                                          swap(this_alt.value,
+                                               that_alt.value);
+                                        }
+#else
+                                        swapper{}
+#endif
+                                        ,
+                                        *this,
+                                        that);
+        } else {
+          impl *lhs = this;
+          impl *rhs = lib::addressof(that);
+          if (lhs->move_nothrow() && !rhs->move_nothrow()) {
+            std::swap(lhs, rhs);
+          }
+          impl tmp(lib::move(*rhs));
+#ifdef MPARK_EXCEPTIONS
+          // EXTENSION: When the move construction of `lhs` into `rhs` throws
+          // and `tmp` is nothrow move constructible then we move `tmp` back
+          // into `rhs` and provide the strong exception safety guarantee.
+          try {
+            this->generic_construct(*rhs, lib::move(*lhs));
+          } catch (...) {
+            if (tmp.move_nothrow()) {
+              this->generic_construct(*rhs, lib::move(tmp));
+            }
+            throw;
+          }
+#else
+          this->generic_construct(*rhs, lib::move(*lhs));
+#endif
+          this->generic_construct(*lhs, lib::move(tmp));
+        }
+      }
+
+      private:
+#ifndef MPARK_GENERIC_LAMBDAS
+      struct swapper {
+        template <typename ThisAlt, typename ThatAlt>
+        inline void operator()(ThisAlt &this_alt, ThatAlt &that_alt) const {
+          using std::swap;
+          swap(this_alt.value, that_alt.value);
+        }
+      };
+#endif
+
+      inline constexpr bool move_nothrow() const {
+        return this->valueless_by_exception() ||
+               lib::array<bool, sizeof...(Ts)>{
+                   {std::is_nothrow_move_constructible<Ts>::value...}
+               }[this->index()];
+      }
+    };
+
+#undef MPARK_INHERITING_CTOR
+
+    template <std::size_t I, typename T>
+    struct overload_leaf {
+      using F = lib::size_constant<I> (*)(T);
+      operator F() const { return nullptr; }
+    };
+
+    template <typename... Ts>
+    struct overload_impl {
+      private:
+      template <typename>
+      struct impl;
+
+      template <std::size_t... Is>
+      struct impl<lib::index_sequence<Is...>> : overload_leaf<Is, Ts>... {};
+
+      public:
+      using type = impl<lib::index_sequence_for<Ts...>>;
+    };
+
+    template <typename... Ts>
+    using overload = typename overload_impl<Ts...>::type;
+
+    template <typename T, typename... Ts>
+    using best_match = lib::invoke_result_t<overload<Ts...>, T &&>;
+
+    template <typename T>
+    struct is_in_place_index : std::false_type {};
+
+    template <std::size_t I>
+    struct is_in_place_index<in_place_index_t<I>> : std::true_type {};
+
+    template <typename T>
+    struct is_in_place_type : std::false_type {};
+
+    template <typename T>
+    struct is_in_place_type<in_place_type_t<T>> : std::true_type {};
+
+  }  // detail
+
+  template <typename... Ts>
+  class variant {
+    static_assert(0 < sizeof...(Ts),
+                  "variant must consist of at least one alternative.");
+
+    static_assert(lib::all<!std::is_array<Ts>::value...>::value,
+                  "variant can not have an array type as an alternative.");
+
+    static_assert(lib::all<!std::is_reference<Ts>::value...>::value,
+                  "variant can not have a reference type as an alternative.");
+
+    static_assert(lib::all<!std::is_void<Ts>::value...>::value,
+                  "variant can not have a void type as an alternative.");
+
+    public:
+    template <
+        typename Front = lib::type_pack_element_t<0, Ts...>,
+        lib::enable_if_t<std::is_default_constructible<Front>::value, int> = 0>
+    inline constexpr variant() noexcept(
+        std::is_nothrow_default_constructible<Front>::value)
+        : impl_(in_place_index_t<0>{}) {}
+
+    variant(const variant &) = default;
+    variant(variant &&) = default;
+
+    template <
+        typename Arg,
+        typename Decayed = lib::decay_t<Arg>,
+        lib::enable_if_t<!std::is_same<Decayed, variant>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_index<Decayed>::value, int> = 0,
+        lib::enable_if_t<!detail::is_in_place_type<Decayed>::value, int> = 0,
+        std::size_t I = detail::best_match<Arg, Ts...>::value,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Arg>::value, int> = 0>
+    inline constexpr variant(Arg &&arg) noexcept(
+        std::is_nothrow_constructible<T, Arg>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Arg>(arg)) {}
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_index_t<I>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        Args &&... args) noexcept(std::is_nothrow_constructible<T,
+                                                                Args...>::value)
+        : impl_(in_place_index_t<I>{}, lib::forward<Args>(args)...) {}
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline explicit constexpr variant(
+        in_place_type_t<T>,
+        std::initializer_list<Up> il,
+        Args &&... args) noexcept(std::
+                                      is_nothrow_constructible<
+                                          T,
+                                          std::initializer_list<Up> &,
+                                          Args...>::value)
+        : impl_(in_place_index_t<I>{}, il, lib::forward<Args>(args)...) {}
+
+    ~variant() = default;
+
+    variant &operator=(const variant &) = default;
+    variant &operator=(variant &&) = default;
+
+    template <typename Arg,
+              lib::enable_if_t<!std::is_same<lib::decay_t<Arg>, variant>::value,
+                               int> = 0,
+              std::size_t I = detail::best_match<Arg, Ts...>::value,
+              typename T = lib::type_pack_element_t<I, Ts...>,
+              lib::enable_if_t<(std::is_assignable<T &, Arg>::value &&
+                                std::is_constructible<T, Arg>::value),
+                               int> = 0>
+    inline variant &operator=(Arg &&arg) noexcept(
+        (std::is_nothrow_assignable<T &, Arg>::value &&
+         std::is_nothrow_constructible<T, Arg>::value)) {
+      impl_.template assign<I>(lib::forward<Arg>(arg));
+      return *this;
+    }
+
+    template <
+        std::size_t I,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        std::size_t I,
+        typename Up,
+        typename... Args,
+        typename T = lib::type_pack_element_t<I, Ts...>,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T, Args...>::value, int> = 0>
+    inline T &emplace(Args &&... args) {
+      return impl_.template emplace<I>(lib::forward<Args>(args)...);
+    }
+
+    template <
+        typename T,
+        typename Up,
+        typename... Args,
+        std::size_t I = detail::find_index_sfinae<T, Ts...>::value,
+        lib::enable_if_t<std::is_constructible<T,
+                                               std::initializer_list<Up> &,
+                                               Args...>::value,
+                         int> = 0>
+    inline T &emplace(std::initializer_list<Up> il, Args &&... args) {
+      return impl_.template emplace<I>(il, lib::forward<Args>(args)...);
+    }
+
+    inline constexpr bool valueless_by_exception() const noexcept {
+      return impl_.valueless_by_exception();
+    }
+
+    inline constexpr std::size_t index() const noexcept {
+      return impl_.index();
+    }
+
+    template <bool Dummy = true,
+              lib::enable_if_t<
+                  lib::all<Dummy,
+                           (lib::dependent_type<std::is_move_constructible<Ts>,
+                                                Dummy>::value &&
+                            lib::dependent_type<lib::is_swappable<Ts>,
+                                                Dummy>::value)...>::value,
+                  int> = 0>
+    inline void swap(variant &that) noexcept(
+        lib::all<(std::is_nothrow_move_constructible<Ts>::value &&
+                  lib::is_nothrow_swappable<Ts>::value)...>::value) {
+      impl_.swap(that.impl_);
+    }
+
+    private:
+    detail::impl<Ts...> impl_;
+
+    friend struct detail::access::variant;
+    friend struct detail::visitation::variant;
+  };
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return v.index() == I;
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr bool holds_alternative(const variant<Ts...> &v) noexcept {
+    return holds_alternative<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <std::size_t I, typename V>
+    struct generic_get_impl {
+      constexpr generic_get_impl(int) noexcept {}
+
+      constexpr AUTO_REFREF operator()(V &&v) const
+        AUTO_REFREF_RETURN(
+            access::variant::get_alt<I>(lib::forward<V>(v)).value)
+    };
+
+    template <std::size_t I, typename V>
+    inline constexpr AUTO_REFREF generic_get(V &&v)
+      AUTO_REFREF_RETURN(generic_get_impl<I, V>(
+          holds_alternative<I>(v) ? 0 : (throw_bad_variant_access(), 0))(
+          lib::forward<V>(v)))
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &get(
+      variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr variant_alternative_t<I, variant<Ts...>> &&get(
+      variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &get(
+      const variant<Ts...> &v) {
+    return detail::generic_get<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr const variant_alternative_t<I, variant<Ts...>> &&get(
+      const variant<Ts...> &&v) {
+    return detail::generic_get<I>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &get(variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr T &&get(variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &get(const variant<Ts...> &v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr const T &&get(const variant<Ts...> &&v) {
+    return get<detail::find_index_checked<T, Ts...>::value>(lib::move(v));
+  }
+
+  namespace detail {
+
+    template <std::size_t I, typename V>
+    inline constexpr /* auto * */ AUTO generic_get_if(V *v) noexcept
+      AUTO_RETURN(v && holds_alternative<I>(*v)
+                      ? lib::addressof(access::variant::get_alt<I>(*v).value)
+                      : nullptr)
+
+  }  // namespace detail
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<variant_alternative_t<I, variant<Ts...>>>
+  get_if(variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <std::size_t I, typename... Ts>
+  inline constexpr lib::add_pointer_t<
+      const variant_alternative_t<I, variant<Ts...>>>
+  get_if(const variant<Ts...> *v) noexcept {
+    return detail::generic_get_if<I>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<T>
+  get_if(variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  template <typename T, typename... Ts>
+  inline constexpr lib::add_pointer_t<const T>
+  get_if(const variant<Ts...> *v) noexcept {
+    return get_if<detail::find_index_checked<T, Ts...>::value>(v);
+  }
+
+  namespace detail {
+    template <typename RelOp>
+    struct convert_to_bool {
+      template <typename Lhs, typename Rhs>
+      inline constexpr bool operator()(Lhs &&lhs, Rhs &&rhs) const {
+        static_assert(std::is_convertible<lib::invoke_result_t<RelOp, Lhs, Rhs>,
+                                          bool>::value,
+                      "relational operators must return a type"
+                      " implicitly convertible to bool");
+        return lib::invoke(
+            RelOp{}, lib::forward<Lhs>(lhs), lib::forward<Rhs>(rhs));
+      }
+    };
+  }  // namespace detail
+
+  template <typename... Ts>
+  inline constexpr bool operator==(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using equal_to = detail::convert_to_bool<lib::equal_to>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    return variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs);
+#else
+    return lhs.index() == rhs.index() &&
+           (lhs.valueless_by_exception() ||
+            variant::visit_value_at(lhs.index(), equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator!=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using not_equal_to = detail::convert_to_bool<lib::not_equal_to>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.index() != rhs.index()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    return variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs);
+#else
+    return lhs.index() != rhs.index() ||
+           (!lhs.valueless_by_exception() &&
+            variant::visit_value_at(lhs.index(), not_equal_to{}, lhs, rhs));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using less = detail::convert_to_bool<lib::less>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.valueless_by_exception()) return true;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less{}, lhs, rhs);
+#else
+    return !rhs.valueless_by_exception() &&
+           (lhs.valueless_by_exception() || lhs.index() < rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), less{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>(const variant<Ts...> &lhs,
+                                  const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using greater = detail::convert_to_bool<lib::greater>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return false;
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater{}, lhs, rhs);
+#else
+    return !lhs.valueless_by_exception() &&
+           (rhs.valueless_by_exception() || lhs.index() > rhs.index() ||
+            (lhs.index() == rhs.index() &&
+             variant::visit_value_at(lhs.index(), greater{}, lhs, rhs)));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator<=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using less_equal = detail::convert_to_bool<lib::less_equal>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (lhs.valueless_by_exception()) return true;
+    if (rhs.valueless_by_exception()) return false;
+    if (lhs.index() < rhs.index()) return true;
+    if (lhs.index() > rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs);
+#else
+    return lhs.valueless_by_exception() ||
+           (!rhs.valueless_by_exception() &&
+            (lhs.index() < rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(lhs.index(), less_equal{}, lhs, rhs))));
+#endif
+  }
+
+  template <typename... Ts>
+  inline constexpr bool operator>=(const variant<Ts...> &lhs,
+                                   const variant<Ts...> &rhs) {
+    using detail::visitation::variant;
+    using greater_equal = detail::convert_to_bool<lib::greater_equal>;
+#ifdef MPARK_CPP14_CONSTEXPR
+    if (rhs.valueless_by_exception()) return true;
+    if (lhs.valueless_by_exception()) return false;
+    if (lhs.index() > rhs.index()) return true;
+    if (lhs.index() < rhs.index()) return false;
+    return variant::visit_value_at(lhs.index(), greater_equal{}, lhs, rhs);
+#else
+    return rhs.valueless_by_exception() ||
+           (!lhs.valueless_by_exception() &&
+            (lhs.index() > rhs.index() ||
+             (lhs.index() == rhs.index() &&
+              variant::visit_value_at(
+                  lhs.index(), greater_equal{}, lhs, rhs))));
+#endif
+  }
+
+  struct monostate {};
+
+  inline constexpr bool operator<(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator>(monostate, monostate) noexcept {
+    return false;
+  }
+
+  inline constexpr bool operator<=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator>=(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator==(monostate, monostate) noexcept {
+    return true;
+  }
+
+  inline constexpr bool operator!=(monostate, monostate) noexcept {
+    return false;
+  }
+
+#ifdef MPARK_CPP14_CONSTEXPR
+  namespace detail {
+
+    inline constexpr bool all(std::initializer_list<bool> bs) {
+      for (bool b : bs) {
+        if (!b) {
+          return false;
+        }
+      }
+      return true;
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr decltype(auto) visit(Visitor &&visitor, Vs &&... vs) {
+    return (detail::all({!vs.valueless_by_exception()...})
+                ? (void)0
+                : throw_bad_variant_access()),
+           detail::visitation::variant::visit_value(
+               lib::forward<Visitor>(visitor), lib::forward<Vs>(vs)...);
+  }
+#else
+  namespace detail {
+
+    template <std::size_t N>
+    inline constexpr bool all_impl(const lib::array<bool, N> &bs,
+                                   std::size_t idx) {
+      return idx >= N || (bs[idx] && all_impl(bs, idx + 1));
+    }
+
+    template <std::size_t N>
+    inline constexpr bool all(const lib::array<bool, N> &bs) {
+      return all_impl(bs, 0);
+    }
+
+  }  // namespace detail
+
+  template <typename Visitor, typename... Vs>
+  inline constexpr DECLTYPE_AUTO visit(Visitor &&visitor, Vs &&... vs)
+    DECLTYPE_AUTO_RETURN(
+        (detail::all(
+             lib::array<bool, sizeof...(Vs)>{{!vs.valueless_by_exception()...}})
+             ? (void)0
+             : throw_bad_variant_access()),
+        detail::visitation::variant::visit_value(lib::forward<Visitor>(visitor),
+                                                 lib::forward<Vs>(vs)...))
+#endif
+
+  template <typename... Ts>
+  inline auto swap(variant<Ts...> &lhs,
+                   variant<Ts...> &rhs) noexcept(noexcept(lhs.swap(rhs)))
+      -> decltype(lhs.swap(rhs)) {
+    lhs.swap(rhs);
+  }
+
+  namespace detail {
+
+    template <typename T, typename...>
+    using enabled_type = T;
+
+    namespace hash {
+
+      template <typename H, typename K>
+      constexpr bool meets_requirements() noexcept {
+        return std::is_copy_constructible<H>::value &&
+               std::is_move_constructible<H>::value &&
+               lib::is_invocable_r<std::size_t, H, const K &>::value;
+      }
+
+      template <typename K>
+      constexpr bool is_enabled() noexcept {
+        using H = std::hash<K>;
+        return meets_requirements<H, K>() &&
+               std::is_default_constructible<H>::value &&
+               std::is_copy_assignable<H>::value &&
+               std::is_move_assignable<H>::value;
+      }
+
+    }  // namespace hash
+
+  }  // namespace detail
+
+#undef AUTO
+#undef AUTO_RETURN
+
+#undef AUTO_REFREF
+#undef AUTO_REFREF_RETURN
+
+#undef DECLTYPE_AUTO
+#undef DECLTYPE_AUTO_RETURN
+
+}  // namespace mpark
+
+namespace std {
+
+  template <typename... Ts>
+  struct hash<mpark::detail::enabled_type<
+      mpark::variant<Ts...>,
+      mpark::lib::enable_if_t<mpark::lib::all<mpark::detail::hash::is_enabled<
+          mpark::lib::remove_const_t<Ts>>()...>::value>>> {
+    using argument_type = mpark::variant<Ts...>;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &v) const {
+      using mpark::detail::visitation::variant;
+      std::size_t result =
+          v.valueless_by_exception()
+              ? 299792458  // Random value chosen by the universe upon creation
+              : variant::visit_alt(
+#ifdef MPARK_GENERIC_LAMBDAS
+                    [](const auto &alt) {
+                      using alt_type = mpark::lib::decay_t<decltype(alt)>;
+                      using value_type = mpark::lib::remove_const_t<
+                          typename alt_type::value_type>;
+                      return hash<value_type>{}(alt.value);
+                    }
+#else
+                    hasher{}
+#endif
+                    ,
+                    v);
+      return hash_combine(result, hash<std::size_t>{}(v.index()));
+    }
+
+    private:
+#ifndef MPARK_GENERIC_LAMBDAS
+    struct hasher {
+      template <typename Alt>
+      inline std::size_t operator()(const Alt &alt) const {
+        using alt_type = mpark::lib::decay_t<Alt>;
+        using value_type =
+            mpark::lib::remove_const_t<typename alt_type::value_type>;
+        return hash<value_type>{}(alt.value);
+      }
+    };
+#endif
+
+    static std::size_t hash_combine(std::size_t lhs, std::size_t rhs) {
+      return lhs ^= rhs + 0x9e3779b9 + (lhs << 6) + (lhs >> 2);
+    }
+  };
+
+  template <>
+  struct hash<mpark::monostate> {
+    using argument_type = mpark::monostate;
+    using result_type = std::size_t;
+
+    inline result_type operator()(const argument_type &) const noexcept {
+      return 66740831;  // return a fundamentally attractive random value.
+    }
+  };
+
+}  // namespace std
+
+#endif  // MPARK_VARIANT_HPP

src/external/tiny/LICENSE.md

@@ -0,0 +1,23 @@
+Boost Software License - Version 0.1 - 23 March 2019
+
+Permission is hereby granted, free of charge, to any person or organization
+obtaining a copy of the software and accompanying documentation covered by
+this license (the "Software") to use, reproduce, display, distribute,
+execute, and transmit the Software, and to prepare derivative works of the
+Software, and to permit third-parties to whom the Software is furnished to
+do so, all subject to the following:
+
+The copyright notices in the Software and this entire statement, including
+the above license grant, this restriction and the following disclaimer,
+must be included in all copies of the Software, in whole or in part, and
+all derivative works of the Software, unless such copies or derivative
+works are solely in the form of machine-executable object code generated by
+a source language processor.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT
+SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE
+FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE,
+ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+DEALINGS IN THE SOFTWARE.

src/external/tiny/optional.h

@@ -0,0 +1,159 @@
+// Tiny Optional
+//
+// Copyright Alexander Radkov, 2019
+//
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
+//
+
+#pragma once
+
+namespace tiny
+{
+    struct nullopt_t
+    {
+        struct _Tag {};
+        constexpr explicit nullopt_t(_Tag) {}
+    };
+    inline constexpr nullopt_t none    { nullopt_t::_Tag{} }; // matches boost::none
+    inline constexpr nullopt_t nullopt { nullopt_t::_Tag{} }; // matches std::nullopt
+
+    template<class _Ty>
+    class optional
+    {
+    private:
+        bool      _assigned;
+        _Ty       _value;
+
+        void reset()          { _assigned = false; }
+        void assert_value() { if (!has_value())   throw std::runtime_error{ "Bad optional access!" }; }
+
+    public:
+        constexpr optional() noexcept
+            : _assigned(false)
+        { }
+
+        constexpr optional(nullopt_t) noexcept
+            : _assigned(false)
+        { }
+
+        constexpr optional(_Ty value) noexcept
+            : _assigned(true)
+            , _value(value)
+        { }
+
+        constexpr explicit operator bool() const noexcept { return _assigned; }
+        constexpr bool has_value()         const noexcept { return _assigned; }
+        constexpr const _Ty * operator->() const          { return std:: addressof(_value); }
+        constexpr       _Ty * operator->()                { return std:: addressof(_value); }
+        constexpr const _Ty& operator*()   const &        { return _value; }
+        constexpr       _Ty& operator*()         &        { return _value; }
+        constexpr       _Ty&& operator*()        &&       { return std:: move(_value); }
+        constexpr const _Ty&& operator*()  const &&       { return std:: move(_value); }
+        constexpr const _Ty&  value()      const &        { assert_value();  return _value; }
+        constexpr       _Ty&  value()            &        { assert_value();  return _value; }
+        constexpr       _Ty&& value()            &&       { assert_value();  return std:: move(_value); }
+        constexpr const _Ty&& value()      const &&       { assert_value();  return std:: move(_value); }
+
+        optional & operator=(const nullopt_t& _Right)
+        {
+            reset();
+            return (*this);
+        }
+
+        template<class _Ty2 = _Ty>
+        optional & operator=(_Ty2&& _Right)
+        {
+            _value = std:: forward<_Ty2>(_Right);
+            _assigned = true;
+            return (*this);
+        }
+
+        template<class _Ty2>
+        optional & operator=(const optional<_Ty2>& _Right)
+        {
+            if (_Right)
+            {
+                _value = *_Right;
+                _assigned = true;
+            }
+            else
+            {
+                reset();
+            }
+
+            return (*this);
+        }
+    };
+
+    template<class _Ty>
+    constexpr bool operator==(const optional<_Ty>& _Left, nullopt_t) noexcept
+    {
+        return (!_Left.has_value());
+    }
+    template<class _Ty>
+    constexpr bool operator==(nullopt_t, const optional<_Ty>& _Right) noexcept
+    {
+        return (!_Right.has_value());
+    }
+
+    template<class _Ty>
+    constexpr bool operator!=(const optional<_Ty>& _Left, nullopt_t) noexcept
+    {
+        return (_Left.has_value());
+    }
+
+    template<class _Ty>
+    constexpr bool operator!=(nullopt_t, const optional<_Ty>& _Right) noexcept
+    {
+        return (_Right.has_value());
+    }
+
+    template<class _Ty>
+    constexpr bool operator<(const optional<_Ty>&, nullopt_t) noexcept
+    {
+        return (false);
+    }
+
+    template<class _Ty>
+    constexpr bool operator<(nullopt_t, const optional<_Ty>& _Right) noexcept
+    {
+        return (_Right.has_value());
+    }
+
+    template<class _Ty>
+    constexpr bool operator<=(const optional<_Ty>& _Left, nullopt_t) noexcept
+    {
+        return (!_Left.has_value());
+    }
+
+    template<class _Ty>
+    constexpr bool operator<=(nullopt_t, const optional<_Ty>&) noexcept
+    {
+        return (true);
+    }
+
+    template<class _Ty>
+    constexpr bool operator>(const optional<_Ty>& _Left, nullopt_t) noexcept
+    {
+        return (_Left.has_value());
+    }
+
+    template<class _Ty>
+    constexpr bool operator>(nullopt_t, const optional<_Ty>&) noexcept
+    {
+        return (false);
+    }
+
+    template<class _Ty>
+    constexpr bool operator>=(const optional<_Ty>&, nullopt_t) noexcept
+    {
+        return (true);
+    }
+
+    template<class _Ty>
+    constexpr bool operator>=(nullopt_t, const optional<_Ty>& _Right) noexcept
+    {
+        return (!_Right.has_value());
+    }
+}

tests/Advanced/RespectEmitLine/main.azsl.mcpp

@@ -27,6 +27,8 @@ ShaderResourceGroupSemantic MainSlot
 {
     FrequencyId = 3;
 };
+static bool nonElipsableObject = false; // use an object with persistence on HLSL side to force appearance of "srg_semantics" in pound-lines
+
 #line 15 "level0.azsli"
 
 ShaderResourceGroup SRG0 : Slot0

tests/Advanced/respect-emit-preprocessor-line-directives.py

@@ -29,16 +29,20 @@ def validateFilesAppearInLineDirectives(hlslContent, fileList, silent):
     """
     regexp = re.compile('#\s*line\s+\d+\s*"(.*)"$')
     hlslLines = hlslContent.splitlines()
+    found0 = False
     for hlslLine in hlslLines:
         m = regexp.match(hlslLine)
         if not m:
             continue
-        #If there's a match it better match the file at the top of the stack
-        if m.group(1).endswith(fileList[0]):
-            del fileList[0]
+        f0 = m.group(1).endswith(fileList[0])  # check top of stack
+        f1 = len(fileList) > 1 and m.group(1).endswith(fileList[1]) # or second position to allow progression in the list
+        if f0 or f1:
+            if found0 and f1: del fileList[0]  # forget about a file only after its potential repetition is finished
             if len(fileList) == 0:
                 break;
-    return len(fileList) == 0
+            found0 = f0
+        else: print(fg.RED + f"problem: was expecting to find {fileList[0]} or {fileList[1]} (but got {m.group(1).rsplit('/',1)[-1]})" + fg.RESET)
+    return len(fileList) <= 1
 
 def testSampleFileCompilationEmitsPreprocessorLineDirectives(theFile, compilerPath, silent):
     if not silent:
@@ -73,6 +77,7 @@ def CreateTmpFileWithSyntaxError(theFile, goodSearchLine, badReplaceLine):
             else:
                 tmpFileContent.append("{}\n".format(line))
     if not foundGoodSearchLine:
+        print(fg.RED + f"fail: {goodSearchLine} not found in {fileName}" + fg.RESET)
         return None
     
     with open(tmpFilePath, 'w') as outFp:
@@ -99,18 +104,23 @@ def testErrorReportUsesPreprocessorLineDirectives(theFile, compilerPath, silent,
     stderr, failed = testfuncs.buildAndGetError(filePathOfTmpFile, compilerPath, silent, [])
     stderr = stderr.decode('utf-8')
     if not failed:
+        print(fg.RED + "fail: expected non-buildable didn't report a build error." + fg.RESET)
         return False
     if not silent:
         print (fg.CYAN+ style.BRIGHT+
                "testSyntaxErrorReportUsesPreprocessorLineDirectives: "+
                "Good, good compiler error, now let's make sure the source file is mentioned..."+ style.RESET_ALL)
     if not searchFilename in stderr:
+        print(fg.RED + f"fail: didn't find {searchFilename} in stderr" + fg.RESET)
         return False
     if not silent:
         print (fg.CYAN+ style.BRIGHT+
                "testSyntaxErrorReportUsesPreprocessorLineDirectives: "+
                "Good, The search file was mentioned, now let's check the type of error..."+ style.RESET_ALL)
-    return errorType in stderr
+    ok = errorType in stderr
+    if not ok:
+        print(fg.RED + f"fail: err #{errorType} not in stderr" + fg.RESET)
+    return ok
 
 result = 0  # to define for sub-tests
 resultFailed = 0
@@ -125,7 +135,9 @@ def doTests(compiler, silent, azdxcpath):
     
     if testSampleFileCompilationEmitsPreprocessorLineDirectives(os.path.join(workDir, "RespectEmitLine/main.azsl.mcpp"),
                                                                 compiler, silent): result += 1
-    else: resultFailed += 1
+    else:
+        print(fg.RED + "fail: testSampleFileCompilationEmitsPreprocessorLineDirectives" + fg.RESET)
+        resultFailed += 1
     
     if not silent: print("\n")
     if testErrorReportUsesPreprocessorLineDirectives(os.path.join(workDir, "RespectEmitLine/main.azsl.mcpp"),
@@ -133,7 +145,9 @@ def doTests(compiler, silent, azdxcpath):
                                                            "ShaderResourceGroup SRG2 : Slot2", "ShaderResour ceGroup SRG2 : Slot2",
                                                            "level2.azsli",
                                                            "syntax error"): result += 1
-    else: resultFailed += 1
+    else:
+        print(fg.RED + "fail: testErrorReportUsesPreprocessorLineDirectives" + fg.RESET)
+        resultFailed += 1
     
     if not silent: print("\n")
     if testErrorReportUsesPreprocessorLineDirectives(os.path.join(workDir, "RespectEmitLine/main.azsl.mcpp"),

tests/Emission/pad-antiregression-float2x2srgcst.azsl

@@ -0,0 +1,7 @@
+ShaderResourceGroupSemantic ExampleBinding { FrequencyId = 0; };
+ShaderResourceGroup ExampleSRG : ExampleBinding
+{
+    float2x2 mat;
+    [[pad_to(36)]]
+    bool b;
+};

tests/Emission/pad-antiregression-float2x2srgcst.txt

@@ -0,0 +1,4 @@
+"float2x2 ExampleSRG_mat ;"
+"float4 ExampleSRG___pad_at16 [1] ;"
+"float ExampleSRG___pad_at32 ;"
+"bool ExampleSRG_b ;"

tests/Semantic/srg-pad.azsl

@@ -0,0 +1,7 @@
+ShaderResourceGroupSemantic ExampleBinding { FrequencyId = 0; };
+ShaderResourceGroup ExampleSRG : ExampleBinding
+{
+    float3x3 mat;
+    [[pad_to(44)]]
+    bool b;
+};