575 lines
24 KiB
C++
575 lines
24 KiB
C++
/*
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Copyright (c) 2014 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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*/
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#include <utility>
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#include <limits>
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#include <string>
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#include "util/sstream.h"
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#include "util/utf8.h"
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#include "kernel/abstract.h"
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#include "kernel/replace_fn.h"
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#include "library/scoped_ext.h"
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#include "library/explicit.h"
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#include "frontends/lean/parser.h"
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#include "frontends/lean/tokens.h"
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namespace lean {
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static std::string parse_symbol(parser & p, char const * msg) {
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name n;
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if (p.curr_is_identifier() || p.curr_is_quoted_symbol()) {
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n = p.get_name_val();
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} else if (p.curr_is_keyword()) {
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n = p.get_token_info().value();
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} else {
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throw parser_error(msg, p.pos());
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}
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p.next();
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return n.to_string();
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}
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static optional<unsigned> parse_optional_precedence(parser & p) {
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if (p.curr_is_numeral()) {
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return optional<unsigned>(p.parse_small_nat());
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} else if (p.curr_is_token_or_id(get_max_tk())) {
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p.next();
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return optional<unsigned>(std::numeric_limits<unsigned>::max());
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} else {
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return optional<unsigned>();
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}
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}
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static unsigned parse_precedence(parser & p, char const * msg) {
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auto r = parse_optional_precedence(p);
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if (!r)
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throw parser_error(msg, p.pos());
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return *r;
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}
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LEAN_THREAD_VALUE(bool, g_allow_local, false);
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static void check_notation_expr(expr const & e, pos_info const & pos) {
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if (!g_allow_local && (has_local(e) || has_param_univ(e)))
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throw parser_error("invalid notation declaration, contains reference to local variables", pos);
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}
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enum class mixfix_kind { infixl, infixr, postfix, prefix };
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using notation::mk_expr_action;
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using notation::mk_binder_action;
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using notation::mk_binders_action;
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using notation::mk_exprs_action;
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using notation::mk_scoped_expr_action;
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using notation::mk_skip_action;
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using notation::mk_ext_lua_action;
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using notation::transition;
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using notation::action;
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static auto parse_mixfix_notation(parser & p, mixfix_kind k, bool overload, bool reserve )
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-> pair<notation_entry, optional<token_entry>> {
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std::string tk = parse_symbol(p, "invalid notation declaration, quoted symbol or identifier expected");
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optional<unsigned> prec;
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if (p.curr_is_token(get_colon_tk())) {
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p.next();
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prec = parse_precedence(p, "invalid notation declaration, numeral or 'max' expected");
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}
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environment const & env = p.env();
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optional<token_entry> new_token;
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if (!prec) {
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prec = get_precedence(get_token_table(env), tk.c_str());
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} else if (prec != get_precedence(get_token_table(env), tk.c_str())) {
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new_token = token_entry(tk.c_str(), *prec);
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}
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if (!prec)
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throw parser_error("invalid notation declaration, precedence was not provided, "
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"and it is not set for the given symbol, "
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"solution: use the 'precedence' command", p.pos());
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if (k == mixfix_kind::infixr && *prec == 0)
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throw parser_error("invalid infixr declaration, precedence must be greater than zero", p.pos());
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expr f;
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if (reserve) {
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// reserve notation commands do not have a denotation
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if (p.curr_is_token(get_assign_tk()))
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throw parser_error("invalid reserve notation, found `:=`", p.pos());
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} else {
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p.check_token_next(get_assign_tk(), "invalid notation declaration, ':=' expected");
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auto f_pos = p.pos();
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f = p.parse_expr();
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check_notation_expr(f, f_pos);
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}
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char const * tks = tk.c_str();
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switch (k) {
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case mixfix_kind::infixl:
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return mk_pair(notation_entry(false, to_list(transition(tks, mk_expr_action(*prec))),
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mk_app(f, Var(1), Var(0)), overload, reserve), new_token);
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case mixfix_kind::infixr:
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return mk_pair(notation_entry(false, to_list(transition(tks, mk_expr_action(*prec-1))),
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mk_app(f, Var(1), Var(0)), overload, reserve), new_token);
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case mixfix_kind::postfix:
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return mk_pair(notation_entry(false, to_list(transition(tks, mk_skip_action())),
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mk_app(f, Var(0)), overload, reserve), new_token);
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case mixfix_kind::prefix:
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return mk_pair(notation_entry(true, to_list(transition(tks, mk_expr_action(*prec))),
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mk_app(f, Var(0)), overload, reserve), new_token);
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}
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lean_unreachable(); // LCOV_EXCL_LINE
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}
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static notation_entry parse_mixfix_notation(parser & p, mixfix_kind k, bool overload, bool reserve,
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buffer<token_entry> & new_tokens) {
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auto nt = parse_mixfix_notation(p, k, overload, reserve);
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if (nt.second)
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new_tokens.push_back(*nt.second);
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return nt.first;
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}
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static name parse_quoted_symbol_or_token(parser & p, buffer<token_entry> & new_tokens) {
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if (p.curr_is_quoted_symbol()) {
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environment const & env = p.env();
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auto tk = p.get_name_val();
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auto tks = tk.to_string();
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auto tkcs = tks.c_str();
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p.next();
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if (p.curr_is_token(get_colon_tk())) {
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p.next();
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unsigned prec = parse_precedence(p, "invalid notation declaration, precedence (small numeral) expected");
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auto old_prec = get_precedence(get_token_table(env), tkcs);
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if (!old_prec || prec != *old_prec)
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new_tokens.push_back(token_entry(tkcs, prec));
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} else if (!get_precedence(get_token_table(env), tkcs)) {
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new_tokens.push_back(token_entry(tkcs, LEAN_DEFAULT_PRECEDENCE));
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}
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return tk;
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} else if (p.curr_is_keyword()) {
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auto tk = p.get_token_info().token();
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p.next();
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return tk;
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} else {
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throw parser_error("invalid notation declaration, symbol expected", p.pos());
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}
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}
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static expr parse_notation_expr(parser & p, buffer<expr> const & locals) {
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auto pos = p.pos();
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expr r = p.parse_expr();
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r = abstract(r, locals.size(), locals.data());
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check_notation_expr(r, pos);
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return r;
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}
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static void parse_notation_local(parser & p, buffer<expr> & locals) {
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if (p.curr_is_identifier()) {
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name n = p.get_name_val();
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p.next();
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expr local_type = mk_Prop(); // type used in notation local declarations, it is irrelevant
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expr l = mk_local(n, local_type); // remark: the type doesn't matter
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p.add_local(l);
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locals.push_back(l);
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} else {
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throw parser_error("invalid notation declaration, identifier expected", p.pos());
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}
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}
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static unsigned get_precedence(environment const & env, buffer<token_entry> const & new_tokens, name const & token) {
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std::string token_str = token.to_string();
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for (auto const & e : new_tokens) {
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if (e.m_token == token_str)
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return e.m_prec;
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}
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auto prec = get_precedence(get_token_table(env), token_str.c_str());
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if (prec)
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return *prec;
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else
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return 0;
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}
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static action parse_action(parser & p, name const & prev_token, unsigned default_prec,
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buffer<expr> & locals, buffer<token_entry> & new_tokens) {
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if (p.curr_is_token(get_colon_tk())) {
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p.next();
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if (p.curr_is_numeral() || p.curr_is_token_or_id(get_max_tk())) {
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unsigned prec = parse_precedence(p, "invalid notation declaration, small numeral expected");
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return mk_expr_action(prec);
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} else if (p.curr_is_token_or_id(get_prev_tk())) {
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p.next();
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return mk_expr_action(get_precedence(p.env(), new_tokens, prev_token));
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} else if (p.curr_is_string()) {
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std::string fn = p.get_str_val();
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p.next();
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return mk_ext_lua_action(fn.c_str());
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} else if (p.curr_is_token_or_id(get_scoped_tk())) {
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p.next();
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return mk_scoped_expr_action(mk_var(0));
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} else {
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p.check_token_next(get_lparen_tk(), "invalid notation declaration, '(', numeral or 'scoped' expected");
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if (p.curr_is_token_or_id(get_foldl_tk()) || p.curr_is_token_or_id(get_foldr_tk())) {
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bool is_fold_right = p.curr_is_token_or_id(get_foldr_tk());
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p.next();
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auto prec = parse_optional_precedence(p);
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name sep = parse_quoted_symbol_or_token(p, new_tokens);
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expr rec;
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{
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parser::local_scope scope(p);
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p.check_token_next(get_lparen_tk(), "invalid fold notation argument, '(' expected");
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parse_notation_local(p, locals);
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parse_notation_local(p, locals);
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p.check_token_next(get_comma_tk(), "invalid fold notation argument, ',' expected");
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rec = parse_notation_expr(p, locals);
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p.check_token_next(get_rparen_tk(), "invalid fold notation argument, ')' expected");
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locals.pop_back();
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locals.pop_back();
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}
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expr ini = parse_notation_expr(p, locals);
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optional<name> terminator;
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if (!p.curr_is_token(get_rparen_tk()))
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terminator = parse_quoted_symbol_or_token(p, new_tokens);
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p.check_token_next(get_rparen_tk(), "invalid fold notation argument, ')' expected");
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return mk_exprs_action(sep, rec, ini, terminator, is_fold_right, prec ? *prec : 0);
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} else if (p.curr_is_token_or_id(get_scoped_tk())) {
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p.next();
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auto prec = parse_optional_precedence(p);
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expr rec;
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{
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parser::local_scope scope(p);
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parse_notation_local(p, locals);
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p.check_token_next(get_comma_tk(), "invalid scoped notation argument, ',' expected");
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rec = parse_notation_expr(p, locals);
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locals.pop_back();
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}
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p.check_token_next(get_rparen_tk(), "invalid scoped notation argument, ')' expected");
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return mk_scoped_expr_action(rec, prec ? *prec : 0);
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} else if (p.curr_is_token_or_id(get_call_tk())) {
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p.next();
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name fn = p.check_id_next("invalid call notation argument, identifier expected");
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p.check_token_next(get_rparen_tk(), "invalid call notation argument, ')' expected");
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return mk_ext_lua_action(fn.to_string().c_str());
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} else {
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throw parser_error("invalid notation declaration, 'foldl', 'foldr' or 'scoped' expected", p.pos());
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}
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}
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} else {
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return mk_expr_action(default_prec);
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}
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}
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/**
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\brief If the action for token \c tk in parse table \c pt is an Expr action,
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then return its precedence. We use this value as the default precedence
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when the user does not provide it. The idea is to minimize conflict with existing
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notation.
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*/
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static unsigned get_default_prec(optional<parse_table> const & pt, name const & tk) {
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if (!pt)
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return LEAN_DEFAULT_PRECEDENCE;
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if (auto at = pt->find(tk)) {
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if (at->first.kind() == notation::action_kind::Expr)
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return at->first.rbp();
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}
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return LEAN_DEFAULT_PRECEDENCE;
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}
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/** \brief Given a parsing table a \c pt and transition \c new_trans, if \c new_trans is a
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transition in \c pt, then return the successor table */
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static optional<parse_table> find_match(optional<parse_table> const & pt, transition const & new_trans) {
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if (pt) {
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if (auto at = pt->find(new_trans.get_token())) {
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if (new_trans.get_action().is_equal(at->first))
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return optional<parse_table>(at->second);
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}
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}
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return optional<parse_table>();
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}
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/** \brief Lift parse_table::find method to optional<parse_table> */
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static optional<pair<action, parse_table>> find_next(optional<parse_table> const & pt, name const & tk) {
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if (pt)
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return pt->find(tk);
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else
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return optional<pair<action, parse_table>>();
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}
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static notation_entry parse_notation_core(parser & p, bool overload, bool reserve, buffer<token_entry> & new_tokens) {
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buffer<expr> locals;
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buffer<transition> ts;
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parser::local_scope scope(p);
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bool is_nud = true;
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optional<parse_table> pt;
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optional<parse_table> reserved_pt;
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if (p.curr_is_numeral()) {
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lean_assert(p.curr_is_numeral());
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mpz num = p.get_num_val().get_numerator();
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p.next();
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p.check_token_next(get_assign_tk(), "invalid numeral notation, `:=` expected");
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auto e_pos = p.pos();
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expr e = p.parse_expr();
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check_notation_expr(e, e_pos);
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return notation_entry(num, e, overload);
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} else if (p.curr_is_identifier()) {
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parse_notation_local(p, locals);
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is_nud = false;
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pt = get_led_table(p.env());
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if (!reserve)
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reserved_pt = get_reserved_led_table(p.env());
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} else {
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pt = get_nud_table(p.env());
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if (!reserve)
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reserved_pt = get_reserved_nud_table(p.env());
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}
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while ((!reserve && !p.curr_is_token(get_assign_tk())) ||
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(reserve && !p.curr_is_command() && !p.curr_is_eof())) {
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name tk = parse_quoted_symbol_or_token(p, new_tokens);
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if (auto at = find_next(reserved_pt, tk)) {
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action const & a = at->first;
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reserved_pt = at->second;
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switch (a.kind()) {
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case notation::action_kind::Skip:
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if (!p.curr_is_quoted_symbol() && !p.curr_is_keyword() && !p.curr_is_token(get_assign_tk())) {
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p.check_token_or_id_next(get_binders_tk(),
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"invalid notation declaration, quoted-symbol, keyword or `:=` expected "
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"(declaration prefix matches reserved notation)");
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}
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ts.push_back(transition(tk, a));
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break;
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case notation::action_kind::Binder:
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p.check_token_or_id_next(get_binders_tk(),
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"invalid notation declaration, 'binder' expected "
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"(declaration prefix matches reserved notation)");
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ts.push_back(transition(tk, a));
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break;
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case notation::action_kind::Binders:
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p.check_token_or_id_next(get_binders_tk(),
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"invalid notation declaration, 'binders' expected "
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"(declaration prefix matches reserved notation)");
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ts.push_back(transition(tk, a));
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break;
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case notation::action_kind::Expr: case notation::action_kind::Exprs: case notation::action_kind::ScopedExpr:
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case notation::action_kind::Ext: case notation::action_kind::LuaExt: {
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name n = p.check_id_next("invalid notation declaration, identifier expected "
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"(declaration prefix matches reserved notation)");
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expr local_type = mk_Prop(); // type used in notation local declarations, it is irrelevant
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expr l = mk_local(n, local_type);
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p.add_local(l);
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locals.push_back(l);
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ts.push_back(transition(tk, a));
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break;
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}}
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if (p.curr_is_token(get_colon_tk()))
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throw parser_error("invalid notation declaration, invalid `:` occurrence "
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"(declaration prefix matches reserved notation)", p.pos());
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} else {
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reserved_pt = optional<parse_table>();
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if (p.curr_is_token_or_id(get_binder_tk())) {
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p.next();
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ts.push_back(transition(tk, mk_binder_action()));
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} else if (p.curr_is_token_or_id(get_binders_tk())) {
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p.next();
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ts.push_back(transition(tk, mk_binders_action()));
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} else if (p.curr_is_identifier()) {
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unsigned default_prec = get_default_prec(pt, tk);
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name n = p.get_name_val();
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p.next();
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action a = parse_action(p, tk, default_prec, locals, new_tokens);
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expr local_type = mk_Prop(); // type used in notation local declarations, it is irrelevant
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expr l = mk_local(n, local_type);
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p.add_local(l);
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locals.push_back(l);
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ts.push_back(transition(tk, a));
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} else if (p.curr_is_quoted_symbol() || p.curr_is_keyword() ||
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p.curr_is_token(get_assign_tk()) || p.curr_is_command() || p.curr_is_eof()) {
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ts.push_back(transition(tk, mk_skip_action()));
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} else {
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throw parser_error("invalid notation declaration, quoted-symbol, identifier, "
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"'binder', 'binders' expected", p.pos());
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}
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}
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pt = find_match(pt, ts.back());
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}
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expr n;
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if (reserve) {
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// reserve notation commands do not have a denotation
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lean_assert(p.curr_is_command() || p.curr_is_eof());
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expr dummy = mk_Prop(); // any expression without free variables will do
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n = dummy;
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} else {
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lean_assert(p.curr_is_token(get_assign_tk()));
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p.next();
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if (ts.empty())
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throw parser_error("invalid notation declaration, empty notation is not allowed", p.pos());
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n = parse_notation_expr(p, locals);
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}
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return notation_entry(is_nud, to_list(ts.begin(), ts.end()), n, overload, reserve);
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}
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bool curr_is_notation_decl(parser & p) {
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return
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p.curr_is_token(get_infix_tk()) || p.curr_is_token(get_infixl_tk()) || p.curr_is_token(get_infixr_tk()) ||
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p.curr_is_token(get_postfix_tk()) || p.curr_is_token(get_prefix_tk()) || p.curr_is_token(get_notation_tk());
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}
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static notation_entry parse_notation(parser & p, bool overload, bool reserve, buffer<token_entry> & new_tokens,
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bool allow_local) {
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flet<bool> set_allow_local(g_allow_local, allow_local);
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if (p.curr_is_token(get_infix_tk()) || p.curr_is_token(get_infixl_tk())) {
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p.next();
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return parse_mixfix_notation(p, mixfix_kind::infixl, overload, reserve, new_tokens);
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} else if (p.curr_is_token(get_infixr_tk())) {
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p.next();
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return parse_mixfix_notation(p, mixfix_kind::infixr, overload, reserve, new_tokens);
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} else if (p.curr_is_token(get_postfix_tk())) {
|
|
p.next();
|
|
return parse_mixfix_notation(p, mixfix_kind::postfix, overload, reserve, new_tokens);
|
|
} else if (p.curr_is_token(get_prefix_tk())) {
|
|
p.next();
|
|
return parse_mixfix_notation(p, mixfix_kind::prefix, overload, reserve, new_tokens);
|
|
} else if (p.curr_is_token(get_notation_tk())) {
|
|
p.next();
|
|
return parse_notation_core(p, overload, reserve, new_tokens);
|
|
} else {
|
|
throw parser_error("invalid notation, 'infix', 'infixl', 'infixr', 'prefix', "
|
|
"'postfix' or 'notation' expected", p.pos());
|
|
}
|
|
}
|
|
|
|
notation_entry parse_notation(parser & p, bool overload, buffer<token_entry> & new_tokens, bool allow_local) {
|
|
bool reserve = false;
|
|
return parse_notation(p, overload, reserve, new_tokens, allow_local);
|
|
}
|
|
|
|
static char g_reserved_chars[] = {'(', ')', ',', 0};
|
|
|
|
static void check_token(char const * tk) {
|
|
while (tk && *tk) {
|
|
unsigned sz = get_utf8_size(*tk);
|
|
if (sz == 0) {
|
|
throw exception(sstream() << "invalid token `" << tk << "`, contains invalid utf-8 character");
|
|
} else if (sz > 1) {
|
|
// multi-size unicode character
|
|
for (unsigned i = 0; i < sz; i++) {
|
|
if (!*tk)
|
|
throw exception(sstream() << "invalid token `" << tk << "`, contains invalid utf-8 character");
|
|
++tk;
|
|
}
|
|
} else {
|
|
auto it = g_reserved_chars;
|
|
while (*it) {
|
|
if (*tk == *it)
|
|
throw exception(sstream() << "invalid token `" << tk
|
|
<< "`, it contains reserved character `" << *it << "`");
|
|
++it;
|
|
}
|
|
++tk;
|
|
}
|
|
}
|
|
}
|
|
|
|
static environment add_user_token(environment const & env, token_entry const & e) {
|
|
check_token(e.m_token.c_str());
|
|
return add_token(env, e);
|
|
}
|
|
|
|
static environment add_user_token(environment const & env, char const * val, unsigned prec) {
|
|
check_token(val);
|
|
return add_token(env, val, prec);
|
|
}
|
|
|
|
static environment notation_cmd_core(parser & p, bool overload, bool reserve) {
|
|
flet<bool> set_allow_local(g_allow_local, in_context(p.env()));
|
|
environment env = p.env();
|
|
buffer<token_entry> new_tokens;
|
|
auto ne = parse_notation_core(p, overload, reserve, new_tokens);
|
|
for (auto const & te : new_tokens)
|
|
env = add_user_token(env, te);
|
|
env = add_notation(env, ne);
|
|
return env;
|
|
}
|
|
static environment mixfix_cmd(parser & p, mixfix_kind k, bool overload, bool reserve) {
|
|
flet<bool> set_allow_local(g_allow_local, in_context(p.env()));
|
|
auto nt = parse_mixfix_notation(p, k, overload, reserve);
|
|
environment env = p.env();
|
|
if (nt.second)
|
|
env = add_user_token(env, *nt.second);
|
|
env = add_notation(env, nt.first);
|
|
return env;
|
|
}
|
|
|
|
static environment notation_cmd(parser & p) {
|
|
bool overload = !in_context(p.env());
|
|
bool reserve = false;
|
|
return notation_cmd_core(p, overload, reserve);
|
|
}
|
|
|
|
static environment infixl_cmd(parser & p) {
|
|
bool overload = !in_context(p.env());
|
|
bool reserve = false;
|
|
return mixfix_cmd(p, mixfix_kind::infixl, overload, reserve);
|
|
}
|
|
|
|
static environment infixr_cmd(parser & p) {
|
|
bool overload = !in_context(p.env());
|
|
bool reserve = false;
|
|
return mixfix_cmd(p, mixfix_kind::infixr, overload, reserve);
|
|
}
|
|
|
|
static environment postfix_cmd(parser & p) {
|
|
bool overload = !in_context(p.env());
|
|
bool reserve = false;
|
|
return mixfix_cmd(p, mixfix_kind::postfix, overload, reserve);
|
|
}
|
|
|
|
static environment prefix_cmd(parser & p) {
|
|
bool overload = !in_context(p.env());
|
|
bool reserve = false;
|
|
return mixfix_cmd(p, mixfix_kind::prefix, overload, reserve);
|
|
}
|
|
|
|
static environment reserve_cmd(parser & p) {
|
|
bool overload = false;
|
|
bool reserve = true;
|
|
if (in_context(p.env()) || in_section(p.env()) || get_namespace(p.env())) {
|
|
throw parser_error("invalid reserve notation, command cannot be used in contexts/sections/namespaces",
|
|
p.pos());
|
|
} else if (p.curr_is_token(get_notation_tk())) {
|
|
p.next();
|
|
return notation_cmd_core(p, overload, reserve);
|
|
} else if (p.curr_is_token(get_infixl_tk())) {
|
|
p.next();
|
|
return mixfix_cmd(p, mixfix_kind::infixl, overload, reserve);
|
|
} else if (p.curr_is_token(get_infix_tk())) {
|
|
p.next();
|
|
return mixfix_cmd(p, mixfix_kind::infixl, overload, reserve);
|
|
} else if (p.curr_is_token(get_infixr_tk())) {
|
|
p.next();
|
|
return mixfix_cmd(p, mixfix_kind::infixr, overload, reserve);
|
|
} else if (p.curr_is_token(get_prefix_tk())) {
|
|
p.next();
|
|
return mixfix_cmd(p, mixfix_kind::prefix, overload, reserve);
|
|
} else if (p.curr_is_token(get_postfix_tk())) {
|
|
p.next();
|
|
return mixfix_cmd(p, mixfix_kind::postfix, overload, reserve);
|
|
} else {
|
|
throw parser_error("invalid reserve notation, 'infix', 'infixl', 'infixr', 'prefix', "
|
|
"'postfix' or 'notation' expected", p.pos());
|
|
}
|
|
}
|
|
|
|
static environment precedence_cmd(parser & p) {
|
|
std::string tk = parse_symbol(p, "invalid precedence declaration, quoted symbol or identifier expected");
|
|
p.check_token_next(get_colon_tk(), "invalid precedence declaration, ':' expected");
|
|
unsigned prec = parse_precedence(p, "invalid precedence declaration, numeral or 'max' expected");
|
|
return add_user_token(p.env(), tk.c_str(), prec);
|
|
}
|
|
|
|
void register_notation_cmds(cmd_table & r) {
|
|
add_cmd(r, cmd_info("precedence", "set token left binding power", precedence_cmd));
|
|
add_cmd(r, cmd_info("infixl", "declare a new infix (left) notation", infixl_cmd));
|
|
add_cmd(r, cmd_info("infix", "declare a new infix (left) notation", infixl_cmd));
|
|
add_cmd(r, cmd_info("infixr", "declare a new infix (right) notation", infixr_cmd));
|
|
add_cmd(r, cmd_info("postfix", "declare a new postfix notation", postfix_cmd));
|
|
add_cmd(r, cmd_info("prefix", "declare a new prefix notation", prefix_cmd));
|
|
add_cmd(r, cmd_info("notation", "declare a new notation", notation_cmd));
|
|
add_cmd(r, cmd_info("reserve", "reserve notation", reserve_cmd));
|
|
}
|
|
}
|