/* 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 "util/name_map.h" #include "util/scoped_map.h" #include "util/script_exception.h" #include "util/script_state.h" #include "kernel/expr_maps.h" #include "kernel/io_state.h" #include "kernel/environment.h" #include "library/kernel_bindings.h" #include "library/tactic/tactic.h" #include "library/elaborator/elaborator_exception.h" #include "frontends/lean/scanner.h" #include "frontends/lean/parser_types.h" #include "frontends/lean/parser_error.h" #include "frontends/lean/operator_info.h" #include "frontends/lean/frontend_elaborator.h" namespace lean { class parser_imp; class calc_proof_parser; bool get_parser_verbose(options const & opts); bool get_parser_show_errors(options const & opts); /** \brief Auxiliary object that stores a reference to the parser object inside the Lua State */ struct set_parser { script_state * m_state; parser_imp * m_prev; set_parser(script_state * S, parser_imp * ptr); ~set_parser(); }; /** \brief Actual implementation for the default Lean parser \remark It is an instance of a Pratt parser (http://en.wikipedia.org/wiki/Pratt_parser) described in the paper "Top down operator precedence". This algorithm is super simple, and it is easy to support user-defined infix/prefix/postfix/mixfix operators. */ class parser_imp { friend class parser; friend int mk_cmd_macro(lua_State * L); typedef scoped_map local_decls; typedef name_map builtins; typedef expr_map expr_pos_info; typedef expr_map tactic_hints; // a mapping from placeholder to tactic typedef scoped_map using_decls; environment m_env; io_state m_io_state; scanner m_scanner; frontend_elaborator m_elaborator; macros const * m_expr_macros; macros const * m_cmd_macros; macros const * m_tactic_macros; scanner::token m_curr; bool m_use_exceptions; bool m_interactive; bool m_found_errors; local_decls m_local_decls; unsigned m_num_local_decls; expr_pos_info m_expr_pos_info; pos_info m_last_cmd_pos; pos_info m_last_script_pos; tactic_hints m_tactic_hints; using_decls m_using_decls; std::vector m_namespace_prefixes; enum class scope_kind { Scope, Namespace }; std::vector m_scope_kinds; std::unique_ptr m_calc_proof_parser; // If true then return error when parsing identifiers and it is not local or global. // We set this flag off when parsing tactics. The apply_tac may reference // a hypothesis in the proof state. This hypothesis is not visible until we // execute the tactic. bool m_check_identifiers; script_state * m_script_state; set_parser m_set_parser; bool m_verbose; bool m_show_errors; template typename std::result_of::type using_script(F && f) { return m_script_state->apply([&](lua_State * L) { set_io_state set1(L, m_io_state); set_environment set2(L, m_env); return f(L); }); } void code_with_callbacks(std::function && f); /** \brief Auxiliar struct for creating/destroying a new scope for local declarations. */ struct mk_scope { parser_imp & m_fn; local_decls::mk_scope m_scope; unsigned m_old_num_local_decls; mk_scope(parser_imp & fn); ~mk_scope(); }; calc_proof_parser & get_calc_proof_parser(); public: environment const & get_environment() const { return m_env; } /** \brief Return the current position information */ pos_info pos() const { return mk_pair(m_scanner.get_line(), m_scanner.get_pos()); } /** \brief Return the position associated with \c e. If there is none, then return \c default_pos. */ pos_info pos_of(expr const & e, pos_info default_pos); /** \brief Associate position \c p with \c e and return \c e */ expr save(expr const & e, pos_info p) { m_expr_pos_info[e] = p; return e; } /** \brief Read the next token. */ void scan() { m_curr = m_scanner.scan(); } /** \brief Return the current token */ scanner::token curr() const { return m_curr; } /** \brief Read the next token if the current one is not End-of-file. */ void next() { if (m_curr != scanner::token::Eof) scan(); } /** \brief Return the name associated with the current token. */ name const & curr_name() const { return m_scanner.get_name_val(); } /** \brief Return the numeral associated with the current token. */ mpq const & curr_num() const { return m_scanner.get_num_val(); } /** \brief Return the string associated with the current token. */ std::string const & curr_string() const { return m_scanner.get_str_val(); } /** \brief Check if the current token is \c t, and move to the next one. If the current token is not \c t, it throws a parser error. */ void check_next(scanner::token t, char const * msg); /** \brief Return true iff the current token is an identifier */ bool curr_is_identifier() const { return curr() == scanner::token::Id; } /** \brief Return true iff the current token is a '_" */ bool curr_is_placeholder() const { return curr() == scanner::token::Placeholder; } /** \brief Return true iff the current token is a natural number */ bool curr_is_nat() const { return curr() == scanner::token::IntVal && m_scanner.get_num_val() >= 0; } /** \brief Return true iff the current token is a '(' */ bool curr_is_lparen() const { return curr() == scanner::token::LeftParen; } /** \brief Return true iff the current token is a '{' */ bool curr_is_lcurly() const { return curr() == scanner::token::LeftCurlyBracket; } /** \brief Return true iff the current token is a ':' */ bool curr_is_colon() const { return curr() == scanner::token::Colon; } /** \brief Return true iff the current token is a ',' */ bool curr_is_comma() const { return curr() == scanner::token::Comma; } /** \brief Return true iff the current token is a ':=' */ bool curr_is_assign() const { return curr() == scanner::token::Assign; } /** \brief Return true iff the current token is an 'in' token */ bool curr_is_in() const { return curr() == scanner::token::In; } /** \brief Return true iff the current token is '.' */ bool curr_is_period() const { return curr() == scanner::token::Period; } /** \brief Throws a parser error if the current token is not an identifier. */ void check_identifier(char const * msg) { if (!curr_is_identifier()) throw parser_error(msg, pos()); } /** \brief Throws a parser error if the current token is not an identifier. If it is, move to the next token. */ name check_identifier_next(char const * msg) { check_identifier(msg); name r = curr_name(); next(); return r; } /** \brief Throws a parser error if the current token is not '_'. If it is, move to the next token. */ void check_placeholder_next(char const * msg) { check_next(scanner::token::Placeholder, msg); } /** \brief Throws a parser error if the current token is not ':'. If it is, move to the next token. */ void check_colon_next(char const * msg) { check_next(scanner::token::Colon, msg); } /** \brief Throws a parser error if the current token is not ','. If it is, move to the next token. */ void check_comma_next(char const * msg) { check_next(scanner::token::Comma, msg); } /** \brief Throws a parser error if the current token is not ')'. If it is, move to the next token. */ void check_rparen_next(char const * msg) { check_next(scanner::token::RightParen, msg); } /** \brief Throws a parser error if the current token is not '}'. If it is, move to the next token. */ void check_rcurly_next(char const * msg) { check_next(scanner::token::RightCurlyBracket, msg); } /** \brief Throws a parser error if the current token is not ':='. If it is, move to the next token. */ void check_assign_next(char const * msg) { check_next(scanner::token::Assign, msg); } /** \brief Throws a parser error if the current token is not '.'. If it is, move to the next token. */ void check_period_next(char const * msg) { check_next(scanner::token::Period, msg); } std::string check_string_next(char const * msg); /** @name Error handling */ /*@{*/ private: void display_error_pos(unsigned line, unsigned pos); void display_error_pos(pos_info const & p); void display_error_pos(optional const & e); void display_error(char const * msg, unsigned line, unsigned pos); void display_error(char const * msg); void display_error(kernel_exception const & ex); void display_error(metavar_not_synthesized_exception const & ex); struct lean_pos_info_provider : public pos_info_provider { parser_imp const & m_ref; lean_pos_info_provider(parser_imp const & r):m_ref(r) {} virtual std::pair get_pos_info(expr const & e) const; }; void display_error(elaborator_exception const & ex); void display_error(script_exception const & ex); void display_error(tactic_cmd_error const & ex); public: void protected_call(std::function && f, std::function && sync); /*@}*/ public: unsigned parse_unsigned(char const * msg); double parse_double(); private: [[ noreturn ]] void not_implemented_yet(); void updt_options(); void parse_script(bool as_expr = false); void parse_script_expr(); /** @name Parse Universe levels */ /*@{*/ private: level parse_level_max(); level parse_level_nud_id(); level parse_level_nud_int(); level parse_level_lparen(); level parse_level_nud(); level parse_level_led_plus(level const & left); level parse_level_led_cup(level const & left); level parse_level_led(level const & left); unsigned curr_level_lbp(); public: /** \brief Parse a universe level */ level parse_level(unsigned rbp = 0); /*@}*/ /** @name Parse Expressions */ /*@{*/ private: unsigned get_implicit_vector_size(expr const & d); std::vector const & get_smallest_implicit_vector(list const & ds); unsigned get_smallest_implicit_vector_size(list const & ds); expr mk_fun(operator_info const & op, pos_info const & pos); expr mk_application(operator_info const & op, pos_info const & pos, unsigned num_args, expr const * args); expr mk_application(operator_info const & op, pos_info const & pos, std::initializer_list const & l); expr mk_application(operator_info const & op, pos_info const & pos, expr const & arg); expr mk_application(operator_info const & op, pos_info const & pos, buffer const & args); expr parse_prefix(operator_info const & op); expr parse_postfix(expr const & left, operator_info const & op); expr parse_infix(expr const & left, operator_info const & op); expr parse_infixl(expr const & left, operator_info const & op); expr parse_infixr(expr const & left, operator_info const & op); void check_op_part(name const & op_part); void parse_mixfix_args(list const & ops, unsigned prec, buffer & args); expr parse_mixfixl(operator_info const & op); expr parse_mixfixr(expr const & left, operator_info const & op); expr parse_mixfixo(expr const & left, operator_info const & op); expr parse_mixfixc(operator_info const & op); void propagate_position(expr const & e, pos_info p); bool is_curr_begin_expr() const; bool is_curr_begin_tactic() const; typedef buffer> macro_arg_stack; struct macro_result { optional m_expr; optional m_tactic; macro_result(expr const & e):m_expr(e) {} macro_result(tactic const & t):m_tactic(t) {} macro_result() {} }; macro_result parse_macro(list const & arg_kinds, luaref const & fn, unsigned prec, macro_arg_stack & args, pos_info const & p); expr parse_expr_macro(name const & id, pos_info const & p); expr parse_led_id(expr const & left); expr parse_eq(expr const & left); expr parse_arrow(expr const & left); expr parse_lparen(); void parse_names(buffer> & result); void register_binding(name const & n); void parse_simple_parameters(parameter_buffer & result, bool implicit_decl, bool suppress_type); expr mk_abstraction(bool is_lambda, parameter_buffer const & parameters, expr const & body); expr parse_abstraction(bool is_lambda); expr parse_lambda(); expr parse_pi(); expr parse_quantifier(bool is_forall); expr parse_forall(); expr parse_exists(); expr parse_let(); expr parse_type(bool level_expected); tactic parse_tactic_macro(name tac_id, pos_info const & p); expr parse_have_expr(); expr parse_calc(); expr parse_nud_id(); expr parse_nud(); expr parse_led(expr const & left); expr mk_app_left(expr const & left, expr const & arg); unsigned curr_lbp(); expr parse_nat_int(); expr parse_decimal(); expr parse_string(); expr parse_by_expr(); public: /** \brief Try to find an object (Definition or Postulate) named \c id in the frontend/environment. If there isn't one, then tries to check if \c id is a builtin symbol. If it is not throws an error. If \c implicit_args is true, then we also parse explicit arguments until we have a placeholder forall implicit ones. */ expr get_name_ref(name const & id, pos_info const & p, bool implicit_args = true); /** \brief Parse a sequence of '(' ID ... ID ':' expr ')'. This is used when parsing lambda, Pi, forall/exists expressions and definitions. \remark If implicit_decls is true, then we allow declarations with curly braces. These declarations are used to tag implicit arguments. Such as: Definition f {A : Type} (a b : A) : A := ... \see parse_simple_parameters */ void parse_parameters(parameter_buffer & result, bool implicit_decls, bool suppress_type); /** \brief Parse parameters for expressions such as: lambda, pi, forall, exists */ void parse_expr_parameters(parameter_buffer & result); void parse_var_decl_parameters(parameter_buffer & result); void parse_definition_parameters(parameter_buffer & result); /** \brief Parse a tactic expression, it can be 1) A Lua Script Block expression that returns a tactic 2) '(' expr ')' where expr is a proof term 3) identifier that is the name of a tactic or proof term. */ tactic parse_tactic_expr(); /** \brief Parse \c _ a hole that must be filled by the elaborator. */ expr parse_placeholder(); /** \brief Parse an expression */ expr parse_expr(unsigned rbp = 0); /*@}*/ /** @name Tactics */ /*@{*/ private: /** \brief Return true iff the current token is a tactic command */ bool curr_is_tactic_cmd() const; void display_proof_state(proof_state s); void display_proof_state_if_interactive(proof_state s); typedef std::vector proof_state_seq_stack; std::pair apply_tactic(proof_state const & s, tactic const & t, pos_info const & p); expr mk_proof_for(proof_state const & s, pos_info const & p, context const & ctx, expr const & expected_type); void back_cmd(/* inout */ proof_state_seq_stack & stack, /* inout */ proof_state & s); void tactic_cmd(/* inout */ proof_state_seq_stack & stack, /* inout */ proof_state & s); expr done_cmd(proof_state const & s, context const & ctx, expr const & expected_type); expr parse_tactic_cmds(proof_state s, context const & ctx, expr const & expected_type); std::pair, pos_info> get_tactic_for(expr const & mvar); std::pair get_metavar_ctx_and_type(expr const & mvar, metavar_env const & menv); expr apply_tactics(expr const & val, metavar_env & menv); /*@}*/ private: /** @name Parse Commands */ /*@{*/ static list const & get_command_keywords(); void register_implicit_arguments(name const & n, parameter_buffer & parameters); void check_no_metavar(expr const & e, metavar_env const & menv, char const * msg); void check_no_metavar(std::pair const & p, char const * msg); name mk_full_name(name const & n); void parse_def_core(bool is_definition); void parse_definition(); void parse_theorem(); void parse_variable_core(bool is_var); void parse_variable(); void parse_variables(); void parse_axiom(); void parse_eval(); bool is_hidden_object(object const & obj) const; void parse_print(); void parse_check(); unsigned parse_precedence(); name parse_op_id(); void parse_op(fixity fx); void parse_notation_decl(); void parse_set_option(); void parse_set_opaque(); optional find_lua_file(std::string const & fname); void parse_import(); void parse_help(); void parse_coercion(); void reset_env(environment env); void parse_scope(); void parse_pop(); void parse_cmd_macro(name cmd_id, pos_info const & p); void parse_universe(); void parse_alias(); void parse_builtin(); void parse_namespace(); void parse_end(); void parse_using(); bool parse_command(); /*@}*/ public: parser_imp(environment const & env, io_state const & st, std::istream & in, script_state * S, bool use_exceptions, bool interactive); ~parser_imp(); static void show_prompt(bool interactive, io_state const & ios); void show_prompt(); void show_tactic_prompt(); /** \brief Parse a sequence of commands. This method also perform error management. */ bool parse_commands(); /** \brief Parse an expression. */ expr parse_expr_main(); }; }