/* Copyright (c) 2013 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura */ #pragma once #include #include #include #include #include #include #include "util/lua.h" #include "util/shared_mutex.h" #include "util/name_map.h" #include "kernel/context.h" #include "kernel/object.h" #include "kernel/level.h" namespace lean { class environment; class ro_environment; class type_checker; class environment_extension; class universe_constraints; class universes; /** \brief Implementation of the Lean environment. */ class environment_cell { friend class environment; friend class read_write_shared_environment; friend class read_only_shared_environment; // Remark: only named objects are stored in the dictionary. typedef name_map object_dictionary; typedef std::tuple constraint; std::weak_ptr m_this; // Universe variable management std::unique_ptr m_universes; // Children environment management atomic m_num_children; std::shared_ptr m_parent; // Object management std::vector m_objects; object_dictionary m_object_dictionary; std::unique_ptr m_type_checker; std::set m_imported_modules; // set of imported files and builtin modules bool m_trust_imported; // if true, then imported modules are not type checked. bool m_type_check; // auxiliary flag used to implement m_trust_imported. std::vector> m_extensions; friend class environment_extension; // This mutex is only used to implement threadsafe environment objects // in the external APIs shared_mutex m_mutex; environment env() const; void inc_children() { m_num_children++; } void dec_children() { m_num_children--; } environment_extension & get_extension_core(unsigned extid); environment_extension const & get_extension_core(unsigned extid) const; unsigned get_max_weight(expr const & e); void check_name_core(name const & n); void check_name(name const & n); void register_named_object(object const & new_obj); optional get_object_core(name const & n) const; universes & get_rw_universes(); universes const & get_ro_universes() const; universe_constraints & get_rw_ucs(); universe_constraints const & get_ro_ucs() const; level add_uvar_core(name const & n); bool is_ge(level const & l1, level const & l2, int k) const; void check_consistency(name const & n, level const & l, int k) const; void add_constraints(name const & n, level const & l, int k); void init_uvars(); void check_no_cached_type(expr const & e); void check_type(name const & n, expr const & t, expr const & v); void check_new_definition(name const & n, expr const & t, expr const & v); bool already_imported(name const & n) const; bool mark_imported_core(name n); bool load_core(std::string const & fname, io_state const & ios, optional const & mod_name); public: environment_cell(); environment_cell(std::shared_ptr const & parent); ~environment_cell(); /** \brief Return true iff this environment has children environments. */ bool has_children() const { return m_num_children > 0; } /** \brief Return true iff this environment has a parent environment */ bool has_parent() const { return m_parent != nullptr; } /** \brief Return parent environment of this environment. \pre has_parent() */ environment parent() const; /** \brief Create a child environment. This environment will only allow "read-only" operations until all children environments are deleted. */ environment mk_child() const; // ======================================= // Universe variables /** \brief Add a new universe variable constraint of the form n >= l. Return the level of \c n. \remark An exception is thrown if a universe inconsistency is detected. */ level add_uvar_cnstr(name const & n, level const & l); level add_uvar_cnstr(name const & n) { return add_uvar_cnstr(n, level()); } /** \brief Return true iff the constraint l1 >= l2 is implied by the constraints in the environment. */ bool is_ge(level const & l1, level const & l2) const; /** \brief Return universal variable with the given name. Throw an exception if variable is not defined in this environment. */ level get_uvar(name const & n) const; // ======================================= // ======================================= // Environment Objects /** \brief Add builtin value to the environment. \pre is_value(v) */ void add_builtin(expr const & v); /** \brief Add a builtin value set to the environment. The set is registered by providing a representative of the set. Each builtin set of values is implemented by a C++ class. The environment will only accept object of the same class of the representative. This functionality is used to support infinite set of builtin values such as the natural numbers. \pre is_value(r); */ void add_builtin_set(expr const & r); /** \brief Add a new definition n : t := v. It throws an exception if v does not have type t. It throws an exception if there is already an object with the given name. */ void add_definition(name const & n, expr const & t, expr const & v, bool opaque = false); void add_opaque_definition(name const & n, expr const & t, expr const & v) { add_definition(n, t, v, true); } void add_theorem(name const & n, expr const & t, expr const & v); /** \brief Add a new definition n : infer_type(v) := v. It throws an exception if there is already an object with the given name. */ void add_definition(name const & n, expr const & v, bool opaque = false); /** \brief Set the given definition as opaque (or not) \remark It throws an error if \c n is not a definition. */ void set_opaque(name const & n, bool opaque); /** \brief Add a new fact (Axiom or Fact) to the environment. It throws an exception if there is already an object with the given name. */ void add_axiom(name const & n, expr const & t); void add_var(name const & n, expr const & t); /** \brief Register the given unanymous object in this environment. The environment assume the object ownership. */ void add_neutral_object(neutral_object_cell * o); /** \brief Return the object with the given name. It throws an exception if the environment does not have an object with the given name. */ object get_object(name const & n) const; /** \brief Find a given object in the environment. Return the null object if there is no object with the given name. */ optional find_object(name const & n) const { return get_object_core(n); } /** \brief Return true iff the environment has an object with the given name */ bool has_object(name const & n) const { return static_cast(find_object(n)); } /** \brief Type check the given expression, and return the type of \c e in the given context and this environment. */ expr type_check(expr const & e, context const & ctx = context()) const; /** \brief Return the type of \c e in the given context and this environment. */ expr infer_type(expr const & e, context const & ctx = context()) const; /** \brief Normalize \c e in the given context and this environment. */ expr normalize(expr const & e, context const & ctx = context(), bool unfold_opaque = false) const; /** \brief Low-level function for accessing objects. Consider using iterators. */ unsigned get_num_objects(bool local) const; /** \brief Low-level function for accessing objects. Consider using iterators. */ object const & get_object(unsigned i, bool local) const; /** \brief Iterator for Lean environment objects. */ class object_iterator { std::shared_ptr m_env; unsigned m_idx; bool m_local; friend class environment_cell; object_iterator(std::shared_ptr && env, unsigned idx, bool local):m_env(env), m_idx(idx), m_local(local) {} public: object_iterator(object_iterator const & s):m_env(s.m_env), m_idx(s.m_idx), m_local(s.m_local) {} object_iterator & operator++() { ++m_idx; return *this; } object_iterator operator++(int) { object_iterator tmp(*this); operator++(); return tmp; } object_iterator & operator--() { --m_idx; return *this; } object_iterator operator--(int) { object_iterator tmp(*this); operator--(); return tmp; } bool operator==(object_iterator const & s) const { lean_assert(m_env.get() == s.m_env.get()); return m_idx == s.m_idx; } bool operator!=(object_iterator const & s) const { return !operator==(s); } object const & operator*() { return m_env->get_object(m_idx, m_local); } object const * operator->() { return &(m_env->get_object(m_idx, m_local)); } }; /** \brief Return an iterator to the beginning of the sequence of objects stored in this environment. \remark The objects in this environment and ancestor environments are considered */ object_iterator begin_objects() const { return object_iterator(m_this.lock(), 0, false); } /** \brief Return an iterator to the end of the sequence of objects stored in this environment. \remark The objects in this environment and ancestor environments are considered */ object_iterator end_objects() const { return object_iterator(m_this.lock(), get_num_objects(false), false); } /** \brief Return an iterator to the beginning of the sequence of objects stored in this environment (objects in ancestor environments are ingored). */ object_iterator begin_local_objects() const { return object_iterator(m_this.lock(), 0, true); } /** \brief Return an iterator to the end of the sequence of objects stored in this environment (objects in ancestor environments are ingored). */ object_iterator end_local_objects() const { return object_iterator(m_this.lock(), get_num_objects(true), true); } // ======================================= /** \brief Display universal variable constraints and objects stored in this environment and its parents. */ void display(std::ostream & out) const; /** \brief Register an environment extension. Every environment object will contain this extension. The funciton mk creates a new instance of the extension. The extension object can be retrieved using the token (unsigned integer) returned by this method. \remark The extension objects are created on demand. \see get_extension */ typedef std::unique_ptr (*mk_extension)(); static unsigned register_extension(mk_extension mk); /** \brief Retrieve the extension associated with the token \c extid. The token is the value returned by \c register_extension. */ template Ext const & get_extension(unsigned extid) const { environment_extension const & ext = get_extension_core(extid); lean_assert(dynamic_cast(&ext) != nullptr); return static_cast(ext); } template Ext & get_extension(unsigned extid) { environment_extension & ext = get_extension_core(extid); lean_assert(dynamic_cast(&ext) != nullptr); return static_cast(ext); } /** \brief Return true iff the given file was not already marked as imported. It will also mark the file as imported. */ bool mark_imported(char const * fname); void import_builtin(char const * id, std::function fn); void export_objects(std::string const & fname); bool import(std::string const & fname, io_state const & ios); void load(std::string const & fname, io_state const & ios); /** \brief When trusted_imported flag is true, the environment will not type check imported modules. */ void set_trusted_imported(bool flag); /** \brief Execute function \c fn. Any object created by \c fn is not exported by the environment. */ void auxiliary_section(std::function fn); }; /** \brief Frontend can store data in environment extensions. Each extension is associated with a unique token/id. This token allows the frontend to retrieve/store an extension object in the environment */ class environment_extension { friend class environment_cell; environment_cell * m_env; unsigned m_extid; // extension id environment_extension const * get_parent_core() const; public: environment_extension(); virtual ~environment_extension(); /** \brief Return a constant reference for a parent extension, and a nullptr if there is no parent/ancestor, or if the parent/ancestor has an extension. */ template Ext const * get_parent() const { environment_extension const * ext = get_parent_core(); lean_assert(!ext || dynamic_cast(ext) != nullptr); return static_cast(ext); } }; /** \brief Reference to environment */ class environment { friend class ro_environment; friend class environment_cell; friend class read_write_shared_environment; std::shared_ptr m_ptr; environment(std::shared_ptr const & parent, bool); environment(std::shared_ptr const & ptr); public: environment(); environment_cell * operator->() const { return m_ptr.get(); } environment_cell & operator*() const { return *(m_ptr.get()); } }; /** \brief Read-only reference to environment. */ class ro_environment { friend class environment_cell; friend class read_only_shared_environment; std::shared_ptr m_ptr; ro_environment(std::shared_ptr const & p):m_ptr(p) {} friend int push_environment(lua_State * L, ro_environment const & env); environment cast_to_environment() const { return environment(std::const_pointer_cast(m_ptr)); } public: typedef std::weak_ptr weak_ref; ro_environment(environment const & env); ro_environment(weak_ref const & env); explicit operator weak_ref() const { return weak_ref(m_ptr); } weak_ref to_weak_ref() const { return weak_ref(m_ptr); } environment_cell const * operator->() const { return m_ptr.get(); } environment_cell const & operator*() const { return *(m_ptr.get()); } }; /** \brief Return true iff the given object marks the begin of the of a sequence of imported objects. */ bool is_begin_import(object const & obj); /** \brief Return true iff the given object marks the begin of the of a sequence of builtin imported objects. */ bool is_begin_builtin_import(object const & obj); /** \brief Return true iff the given object marks the end of the of a sequence of imported objects. */ bool is_end_import(object const & obj); /** \brief Return the module imported by the given import object. Return none if \c obj is not an import object. */ optional get_imported_module(object const & obj); typedef std::function mk_builtin_fn; /** \brief Register a builtin or builtin-set that is available to be added to a Lean environment. */ void register_builtin(name const & n, mk_builtin_fn mk, bool is_builtin_set); struct register_builtin_fn { register_builtin_fn(name const & n, mk_builtin_fn mk, bool is_builtin_set = false) { register_builtin(n, mk, is_builtin_set); } }; /** \brief Return a builtin/builtin-set associated with the name \c n. Return none if there is no builtin associated the given name. */ optional> get_builtin(name const & n); /** \brief Return true iff \c obj is a SetOpaque command mark. */ bool is_set_opaque(object const & obj); /** \brief Return the identifier of a SetOpaque command. \pre is_set_opaque(obj) */ name const & get_set_opaque_id(object const & obj); /** \brief Return the flag of a SetOpaque command. \pre is_set_opaque(obj) */ bool get_set_opaque_flag(object const & obj); }