422 lines
16 KiB
C++
422 lines
16 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 <algorithm>
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#include "util/sstream.h"
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#include "kernel/type_checker.h"
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#include "kernel/abstract.h"
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#include "library/scoped_ext.h"
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#include "library/aliases.h"
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#include "library/private.h"
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#include "library/protected.h"
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#include "library/placeholder.h"
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#include "library/locals.h"
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#include "library/explicit.h"
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#include "library/coercion.h"
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#include "frontends/lean/parser.h"
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#include "frontends/lean/util.h"
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#include "frontends/lean/class.h"
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namespace lean {
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static name g_llevel_curly(".{");
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static name g_rcurly("}");
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static name g_colon(":");
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static name g_assign(":=");
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static name g_private("[private]");
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static name g_protected("[protected]");
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static name g_inline("[inline]");
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static name g_instance("[instance]");
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static name g_coercion("[coercion]");
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environment universe_cmd(parser & p) {
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name n = p.check_id_next("invalid universe declaration, identifier expected");
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check_atomic(n);
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environment env = p.env();
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if (in_section_or_context(env)) {
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p.add_local_level(n, mk_param_univ(n));
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} else {
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name const & ns = get_namespace(env);
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name full_n = ns + n;
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env = module::add_universe(env, full_n);
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if (!ns.is_anonymous())
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env = add_level_alias(env, n, full_n);
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}
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return env;
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}
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bool parse_univ_params(parser & p, buffer<name> & ps) {
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if (p.curr_is_token(g_llevel_curly)) {
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p.next();
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while (!p.curr_is_token(g_rcurly)) {
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name l = p.check_id_next("invalid universe parameter, identifier expected");
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p.add_local_level(l, mk_param_univ(l));
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ps.push_back(l);
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}
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p.next();
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return true;
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} else{
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return false;
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}
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}
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void update_univ_parameters(buffer<name> & ls_buffer, name_set const & found, parser const & p) {
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unsigned old_sz = ls_buffer.size();
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found.for_each([&](name const & n) {
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if (std::find(ls_buffer.begin(), ls_buffer.begin() + old_sz, n) == ls_buffer.begin() + old_sz)
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ls_buffer.push_back(n);
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});
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std::sort(ls_buffer.begin(), ls_buffer.end(), [&](name const & n1, name const & n2) {
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return p.get_local_level_index(n1) < p.get_local_level_index(n2);
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});
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}
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static name g_axiom("axiom");
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static name g_variable("variable");
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static environment declare_var(parser & p, environment env,
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name const & n, level_param_names const & ls, expr const & type,
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bool is_axiom, optional<binder_info> const & _bi, pos_info const & pos) {
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binder_info bi;
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if (_bi) bi = *_bi;
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if (in_section_or_context(p.env())) {
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p.add_local(p.save_pos(mk_local(n, type, bi), pos));
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return env;
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} else {
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name const & ns = get_namespace(env);
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name full_n = ns + n;
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if (is_axiom) {
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env = module::add(env, check(env, mk_axiom(full_n, ls, type)));
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p.add_decl_index(full_n, pos, g_axiom, type);
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} else {
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env = module::add(env, check(env, mk_var_decl(full_n, ls, type)));
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p.add_decl_index(full_n, pos, g_variable, type);
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}
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if (!ns.is_anonymous())
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env = add_expr_alias(env, n, full_n);
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return env;
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}
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}
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/** \brief If we are in a section, then add the new local levels to it. */
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static void update_section_local_levels(parser & p, level_param_names const & new_ls) {
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if (in_section_or_context(p.env())) {
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for (auto const & l : new_ls)
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p.add_local_level(l, mk_param_univ(l));
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}
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}
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optional<binder_info> parse_binder_info(parser & p) {
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optional<binder_info> bi = p.parse_optional_binder_info();
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if (bi)
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check_in_section_or_context(p);
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return bi;
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}
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environment variable_cmd_core(parser & p, bool is_axiom) {
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auto pos = p.pos();
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optional<binder_info> bi = parse_binder_info(p);
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name n = p.check_id_next("invalid declaration, identifier expected");
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check_atomic(n);
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buffer<name> ls_buffer;
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if (p.curr_is_token(g_llevel_curly) && in_section_or_context(p.env()))
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throw parser_error("invalid declaration, axioms/parameters occurring in sections cannot be universe polymorphic", p.pos());
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optional<parser::local_scope> scope1;
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if (!in_section_or_context(p.env()))
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scope1.emplace(p);
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parse_univ_params(p, ls_buffer);
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expr type;
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if (!p.curr_is_token(g_colon)) {
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buffer<expr> ps;
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auto lenv = p.parse_binders(ps);
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p.check_token_next(g_colon, "invalid declaration, ':' expected");
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type = p.parse_scoped_expr(ps, lenv);
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type = Pi(ps, type, p);
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} else {
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p.next();
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type = p.parse_expr();
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}
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p.parse_close_binder_info(bi);
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level_param_names ls;
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if (in_section_or_context(p.env())) {
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ls = to_level_param_names(collect_univ_params(type));
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} else {
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update_univ_parameters(ls_buffer, collect_univ_params(type), p);
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ls = to_list(ls_buffer.begin(), ls_buffer.end());
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}
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level_param_names new_ls;
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list<expr> ctx = locals_to_context(type, p);
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std::tie(type, new_ls) = p.elaborate_type(type, ctx);
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update_section_local_levels(p, new_ls);
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return declare_var(p, p.env(), n, append(ls, new_ls), type, is_axiom, bi, pos);
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}
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environment variable_cmd(parser & p) {
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return variable_cmd_core(p, false);
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}
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environment axiom_cmd(parser & p) {
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return variable_cmd_core(p, true);
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}
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struct decl_modifiers {
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bool m_is_private;
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bool m_is_protected;
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bool m_is_opaque;
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bool m_is_instance;
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bool m_is_coercion;
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decl_modifiers() {
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m_is_private = false;
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m_is_protected = false;
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m_is_opaque = true;
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m_is_instance = false;
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m_is_coercion = false;
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}
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void parse(parser & p) {
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while (true) {
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if (p.curr_is_token(g_private)) {
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m_is_private = true;
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p.next();
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} else if (p.curr_is_token(g_protected)) {
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m_is_protected = true;
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p.next();
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} else if (p.curr_is_token(g_inline)) {
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m_is_opaque = false;
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p.next();
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} else if (p.curr_is_token(g_instance)) {
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m_is_instance = true;
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p.next();
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} else if (p.curr_is_token(g_coercion)) {
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m_is_coercion = true;
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p.next();
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} else {
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break;
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}
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}
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}
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};
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static void check_end_of_theorem(parser const & p) {
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if (!p.curr_is_command_like())
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throw parser_error("':=', '.', command, script, or end-of-file expected", p.pos());
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}
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static void erase_local_binder_info(buffer<expr> & ps) {
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for (expr & p : ps)
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p = update_local(p, binder_info());
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}
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environment definition_cmd_core(parser & p, bool is_theorem, bool _is_opaque) {
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auto n_pos = p.pos();
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unsigned start_line = n_pos.first;
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name n = p.check_id_next("invalid declaration, identifier expected");
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check_atomic(n);
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decl_modifiers modifiers;
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name real_n; // real name for this declaration
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modifiers.m_is_opaque = _is_opaque;
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buffer<name> ls_buffer;
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expr type, value;
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level_param_names ls;
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{
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// Parse universe parameters
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parser::local_scope scope1(p);
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parse_univ_params(p, ls_buffer);
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// Parse modifiers
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modifiers.parse(p);
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if (is_theorem && !modifiers.m_is_opaque)
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throw exception("invalid theorem declaration, theorems cannot be transparent");
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if (p.curr_is_token(g_assign)) {
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auto pos = p.pos();
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p.next();
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type = p.save_pos(mk_expr_placeholder(), pos);
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value = p.parse_expr();
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} else if (p.curr_is_token(g_colon)) {
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p.next();
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auto pos = p.pos();
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type = p.parse_expr();
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if (is_theorem && !p.curr_is_token(g_assign)) {
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check_end_of_theorem(p);
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value = mk_expr_placeholder();
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} else {
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p.check_token_next(g_assign, "invalid declaration, ':=' expected");
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value = p.save_pos(p.parse_expr(), pos);
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}
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} else {
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buffer<expr> ps;
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optional<local_environment> lenv;
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lenv = p.parse_binders(ps);
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auto pos = p.pos();
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if (p.curr_is_token(g_colon)) {
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p.next();
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type = p.parse_scoped_expr(ps, *lenv);
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if (is_theorem && !p.curr_is_token(g_assign)) {
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check_end_of_theorem(p);
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value = p.save_pos(mk_expr_placeholder(), pos);
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} else {
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p.check_token_next(g_assign, "invalid declaration, ':=' expected");
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value = p.parse_scoped_expr(ps, *lenv);
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}
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} else {
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type = p.save_pos(mk_expr_placeholder(), p.pos());
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p.check_token_next(g_assign, "invalid declaration, ':=' expected");
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value = p.parse_scoped_expr(ps, *lenv);
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}
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type = Pi(ps, type, p);
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erase_local_binder_info(ps);
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value = Fun(ps, value, p);
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}
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update_univ_parameters(ls_buffer, collect_univ_params(value, collect_univ_params(type)), p);
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ls = to_list(ls_buffer.begin(), ls_buffer.end());
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}
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unsigned end_line = p.pos().first;
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if (p.used_sorry())
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p.declare_sorry();
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environment env = p.env();
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if (modifiers.m_is_private) {
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auto env_n = add_private_name(env, n, optional<unsigned>(hash(p.pos().first, p.pos().second)));
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env = env_n.first;
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real_n = env_n.second;
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} else {
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name const & ns = get_namespace(env);
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real_n = ns + n;
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}
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if (in_section_or_context(env)) {
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buffer<expr> section_ps;
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collect_section_locals(type, value, p, section_ps);
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type = Pi_as_is(section_ps, type, p);
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buffer<expr> section_value_ps;
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section_value_ps.append(section_ps);
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erase_local_binder_info(section_value_ps);
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value = Fun_as_is(section_value_ps, value, p);
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levels section_ls = collect_section_levels(ls, p);
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for (expr & p : section_ps)
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p = mk_explicit(p);
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expr ref = mk_implicit(mk_app(mk_explicit(mk_constant(real_n, section_ls)), section_ps));
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p.add_local_expr(n, ref);
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}
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expr pre_type = type;
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expr pre_value = value;
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level_param_names new_ls;
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bool found_cached = false;
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if (p.are_info_lines_valid(start_line, end_line)) {
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// we only use the cache if the information associated with the line is valid
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if (auto it = p.find_cached_definition(real_n, pre_type, pre_value)) {
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optional<certified_declaration> cd;
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try {
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level_param_names c_ls; expr c_type, c_value;
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std::tie(c_ls, c_type, c_value) = *it;
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if (is_theorem)
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cd = check(env, mk_theorem(real_n, c_ls, c_type, c_value));
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else
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cd = check(env, mk_definition(env, real_n, c_ls, c_type, c_value, modifiers.m_is_opaque));
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if (!modifiers.m_is_private)
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p.add_decl_index(real_n, n_pos, p.get_cmd_token(), c_type);
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env = module::add(env, *cd);
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found_cached = true;
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} catch (exception&) {}
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}
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}
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if (!found_cached) {
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if (is_theorem) {
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auto type_pos = p.pos_of(type);
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bool clear_pre_info = false; // we don't want to clear pre_info data until we process the proof.
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std::tie(type, new_ls) = p.elaborate_type(type, list<expr>(), clear_pre_info);
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check_no_metavar(env, real_n, type, true);
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ls = append(ls, new_ls);
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expr type_as_is = p.save_pos(mk_as_is(type), type_pos);
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if (!p.collecting_info() && p.num_threads() > 1) {
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// add as axiom, and create a task to prove the theorem
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p.add_delayed_theorem(env, real_n, ls, type_as_is, value);
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env = module::add(env, check(env, mk_axiom(real_n, ls, type)));
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} else {
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std::tie(type, value, new_ls) = p.elaborate_definition(n, type_as_is, value, modifiers.m_is_opaque);
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new_ls = append(ls, new_ls);
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env = module::add(env, check(env, mk_theorem(real_n, new_ls, type, value)));
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p.cache_definition(real_n, pre_type, pre_value, new_ls, type, value);
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}
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} else {
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std::tie(type, value, new_ls) = p.elaborate_definition(n, type, value, modifiers.m_is_opaque);
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new_ls = append(ls, new_ls);
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env = module::add(env, check(env, mk_definition(env, real_n, new_ls, type, value, modifiers.m_is_opaque)));
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p.cache_definition(real_n, pre_type, pre_value, new_ls, type, value);
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}
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if (!modifiers.m_is_private)
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p.add_decl_index(real_n, n_pos, p.get_cmd_token(), type);
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}
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if (real_n != n)
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env = add_expr_alias_rec(env, n, real_n);
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if (modifiers.m_is_instance)
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env = add_instance(env, real_n);
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if (modifiers.m_is_coercion)
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env = add_coercion(env, real_n, p.ios());
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if (modifiers.m_is_protected)
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env = add_protected(env, real_n);
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return env;
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}
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environment definition_cmd(parser & p) {
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return definition_cmd_core(p, false, true);
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}
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environment abbreviation_cmd(parser & p) {
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return definition_cmd_core(p, false, false);
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}
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environment theorem_cmd(parser & p) {
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return definition_cmd_core(p, true, true);
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}
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static name g_lparen("("), g_lcurly("{"), g_ldcurly("⦃"), g_lbracket("[");
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static environment variables_cmd(parser & p) {
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auto pos = p.pos();
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environment env = p.env();
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while (true) {
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optional<binder_info> bi = parse_binder_info(p);
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buffer<name> ids;
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while (!p.curr_is_token(g_colon)) {
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name id = p.check_id_next("invalid parameters declaration, identifier expected");
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check_atomic(id);
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ids.push_back(id);
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}
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p.next();
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optional<parser::local_scope> scope1;
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if (!in_section_or_context(p.env()))
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scope1.emplace(p);
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expr type = p.parse_expr();
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p.parse_close_binder_info(bi);
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level_param_names ls = to_level_param_names(collect_univ_params(type));
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list<expr> ctx = locals_to_context(type, p);
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for (auto id : ids) {
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// Hack: to make sure we get different universe parameters for each parameter.
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// Alternative: elaborate once and copy types replacing universes in new_ls.
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level_param_names new_ls;
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expr new_type;
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std::tie(new_type, new_ls) = p.elaborate_type(type, ctx);
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update_section_local_levels(p, new_ls);
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new_ls = append(ls, new_ls);
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env = declare_var(p, env, id, new_ls, new_type, false, bi, pos);
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}
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if (!p.curr_is_token(g_lparen) && !p.curr_is_token(g_lcurly) &&
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!p.curr_is_token(g_ldcurly) && !p.curr_is_token(g_lbracket))
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break;
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}
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return env;
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}
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void register_decl_cmds(cmd_table & r) {
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add_cmd(r, cmd_info("universe", "declare a global universe level", universe_cmd));
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add_cmd(r, cmd_info("variable", "declare a new parameter", variable_cmd));
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add_cmd(r, cmd_info("axiom", "declare a new axiom", axiom_cmd));
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add_cmd(r, cmd_info("definition", "add new definition", definition_cmd));
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add_cmd(r, cmd_info("abbreviation", "add new abbreviation (aka transparent definition)", abbreviation_cmd));
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add_cmd(r, cmd_info("theorem", "add new theorem", theorem_cmd));
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add_cmd(r, cmd_info("variables", "declare new parameters", variables_cmd));
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}
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}
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