blob: bf0690779e57e53db578963c4a1285ab43a0e435 [file]
/*
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
*/
#include <utility>
#include <string>
#include <limits>
#include <vector>
#include "runtime/interrupt.h"
#include "runtime/sstream.h"
#include "runtime/flet.h"
#include "runtime/utf8.h"
#include "util/option_declarations.h"
#include "kernel/for_each_fn.h"
#include "kernel/replace_fn.h"
#include "kernel/find_fn.h"
#include "kernel/abstract.h"
#include "kernel/instantiate.h"
#include "library/error_msgs.h"
#include "library/profiling.h"
#include "library/export_decl.h"
#include "library/trace.h"
#include "library/class.h"
#include "library/exception.h"
#include "library/aliases.h"
#include "library/constants.h"
#include "library/annotation.h"
#include "library/private.h"
#include "library/locals.h"
#include "library/local_context.h"
#include "library/protected.h"
#include "library/placeholder.h"
#include "library/deep_copy.h"
#include "library/explicit.h"
#include "library/num.h"
#include "library/string.h"
#include "library/sorry.h"
#include "library/pp_options.h"
#include "library/replace_visitor.h"
#include "library/scope_pos_info_provider.h"
#include "library/type_context.h"
#include "library/pattern_attribute.h"
#include "library/equations_compiler/equations.h"
#include "frontends/lean/tokens.h"
#include "frontends/lean/builtin_exprs.h"
#include "frontends/lean/parser.h"
#include "frontends/lean/util.h"
#include "frontends/lean/notation_cmd.h"
#include "frontends/lean/parser_pos_provider.h"
#include "frontends/lean/builtin_cmds.h"
#include "frontends/lean/prenum.h"
#include "frontends/lean/elaborator.h"
#include "frontends/lean/local_context_adapter.h"
#include "frontends/lean/structure_instance.h"
#include "frontends/lean/typed_expr.h"
#include "frontends/lean/choice.h"
#ifndef LEAN_DEFAULT_PARSER_SHOW_ERRORS
#define LEAN_DEFAULT_PARSER_SHOW_ERRORS true
#endif
namespace lean {
static name * g_frontend_fresh = nullptr;
// ==========================================
// Parser configuration options
static name * g_parser_show_errors;
bool get_parser_show_errors(options const & opts) {
return opts.get_bool(*g_parser_show_errors, LEAN_DEFAULT_PARSER_SHOW_ERRORS);
}
// ==========================================
parser::local_scope::local_scope(parser & p, bool save_options):
m_p(p), m_env(p.env()) {
m_p.push_local_scope(save_options);
}
parser::local_scope::local_scope(parser & p, environment const & env):
m_p(p), m_env(p.env()) {
m_p.m_env = env;
m_p.push_local_scope();
}
parser::local_scope::local_scope(parser & p, optional<environment> const & env):
m_p(p), m_env(p.env()) {
if (env)
m_p.m_env = *env;
m_p.push_local_scope();
}
parser::local_scope::~local_scope() {
m_p.pop_local_scope();
m_p.m_env = m_env;
}
LEAN_THREAD_VALUE(id_behavior, g_outer_id_behavior, id_behavior::ErrorIfUndef);
parser::quote_scope::quote_scope(parser & p, bool q, id_behavior i):
m_p(p), m_id_behavior(m_p.m_id_behavior), m_old_in_quote(m_p.m_in_quote), m_in_quote(q),
m_saved_in_pattern(p.m_in_pattern) {
// m_p.m_in_pattern = false;
if (m_in_quote && !m_old_in_quote) {
g_outer_id_behavior = m_p.m_id_behavior;
m_p.m_id_behavior = i;
m_p.m_in_quote = true;
m_p.push_local_scope(false);
m_p.m_quote_stack = cons(m_p.mk_parser_scope(), m_p.m_quote_stack);
if (i != id_behavior::ErrorIfUndef)
m_p.clear_expr_fvars();
} else if (!m_in_quote && m_old_in_quote) {
lean_assert(m_p.m_quote_stack);
m_p.m_id_behavior = g_outer_id_behavior;
m_p.push_local_scope(false);
m_p.m_in_quote = false;
m_p.restore_parser_scope(head(m_p.m_quote_stack));
}
}
parser::quote_scope::~quote_scope() {
m_p.m_in_pattern = m_saved_in_pattern;
if (m_in_quote && !m_old_in_quote) {
lean_assert(m_p.m_in_quote);
m_p.m_in_quote = false;
m_p.pop_local_scope();
m_p.m_quote_stack = tail(m_p.m_quote_stack);
} else if (!m_in_quote && m_old_in_quote) {
lean_assert(!m_p.m_in_quote);
m_p.m_in_quote = true;
m_p.pop_local_scope();
}
m_p.m_id_behavior = m_id_behavior;
}
parser::undef_id_to_local_scope::undef_id_to_local_scope(parser & p):
flet<id_behavior>(p.m_id_behavior, id_behavior::AssumeLocalIfUndef) {}
parser::error_if_undef_scope::error_if_undef_scope(parser & p):
flet<id_behavior>(p.m_id_behavior, id_behavior::ErrorIfUndef) {}
parser::all_id_local_scope::all_id_local_scope(parser & p):
flet<id_behavior>(p.m_id_behavior, id_behavior::AllLocal) {}
parser::parser(environment const & env, io_state const & ios,
std::istream & strm, std::string const & file_name,
bool use_exceptions) :
m_env(env), m_ngen(*g_frontend_fresh), m_ios(ios),
m_use_exceptions(use_exceptions),
m_file_name(file_name),
m_scanner(strm, m_file_name.c_str()),
m_imports_parsed(false) {
m_next_inst_idx = 1;
m_ignore_noncomputable = false;
m_in_quote = false;
m_in_pattern = false;
m_has_params = false;
m_id_behavior = id_behavior::ErrorIfUndef;
updt_options();
m_next_tag_idx = 0;
m_curr = token_kind::Identifier;
}
parser::~parser() {
}
void parser::scan() {
if (m_error_since_last_cmd && (curr_is_command() && !curr_is_token(get_end_tk()))) {
// If we're during error recovery, do not read past command tokens.
// `end` is not treated as a command token since it occurs in begin-end blocks.
return;
}
m_curr = m_scanner.scan(m_env);
}
expr parser::mk_sorry(pos_info const & p, bool synthetic) {
return save_pos(::lean::mk_app(mk_constant(get_sorry_ax_name()), mk_expr_placeholder(), synthetic ? mk_bool_true() : mk_bool_false()), p);
}
void parser::updt_options() {
m_profile = get_profiler(m_ios.get_options());
m_show_errors = get_parser_show_errors(m_ios.get_options());
}
void parser::sync_command() {
// Keep consuming tokens until we find a Command or End-of-file
while (curr() != token_kind::CommandKeyword && curr() != token_kind::Eof) {
try {
next();
} catch (parser_exception const &) {}
}
}
name parser::mk_anonymous_inst_name() {
name n = ::lean::mk_anonymous_inst_name(m_next_inst_idx);
m_next_inst_idx++;
return n;
}
expr parser::rec_save_pos(expr const & e, pos_info p) {
return e;
unsigned m = std::numeric_limits<unsigned>::max();
pos_info dummy(m, 0);
for_each(e, [&](expr const & e, unsigned) {
if (pos_of(e, dummy).first == m) {
save_pos(e, p);
return true;
} else {
return false;
}
});
return e;
}
/** \brief Create a copy of \c e, and the position of new expression with p */
expr parser::copy_with_new_pos(expr const & e, pos_info p) {
return replace(e, [&](expr const & e, unsigned) {
if (get_pos(e))
return some(save_pos(copy_with_new_pos(unwrap_pos(e), p), p));
else
return none_expr();
});
}
pos_info parser::pos_of(expr const & e, pos_info default_pos) const {
if (auto r = ::lean::get_pos(e))
return *r;
else
return default_pos;
}
bool parser::curr_is_token(name const & tk) const {
return
(curr() == token_kind::Keyword || curr() == token_kind::CommandKeyword) &&
get_token_info().value() == tk;
}
bool parser::curr_is_token_or_id(name const & tk) const {
if (curr() == token_kind::Keyword || curr() == token_kind::CommandKeyword)
return get_token_info().value() == tk;
else if (curr() == token_kind::Identifier)
return get_name_val() == tk;
else
return false;
}
bool parser::check_token_next(name const & tk, char const * msg) {
if (!curr_is_token(tk)) {
maybe_throw_error({msg, pos()});
return false;
}
next();
return true;
}
void parser::check_token_or_id_next(name const & tk, char const * msg) {
if (!curr_is_token_or_id(tk))
return maybe_throw_error({msg, pos()});
next();
}
name parser::check_id_next(char const * msg) {
name r;
if (!curr_is_identifier()) {
auto _ = no_error_recovery_scope_if(curr_is_command());
maybe_throw_error({msg, pos()});
return "_";
} else {
r = get_name_val();
}
next();
return r;
}
void parser::check_not_internal(name const & id, pos_info const & p) {
if (is_internal_name(id))
maybe_throw_error({
sstream() << "invalid declaration name '" << id
<< "', identifiers starting with '_' are reserved to the system",
p});
}
name parser::check_decl_id_next(char const * msg) {
auto p = pos();
name id = check_id_next(msg);
check_not_internal(id, p);
return id;
}
name parser::check_atomic_id_next(char const * msg) {
auto p = pos();
name id = check_id_next(msg);
if (!id.is_atomic())
maybe_throw_error({msg, p});
return id;
}
name parser::check_atomic_decl_id_next(char const * msg) {
auto p = pos();
name id = check_atomic_id_next(msg);
check_not_internal(id, p);
return id;
}
expr parser::mk_app(expr fn, expr arg, pos_info const &) {
return ::lean::mk_app(fn, arg);
}
expr parser::mk_app(expr fn, buffer<expr> const & args, pos_info const & p) {
expr r = fn;
for (expr const & arg : args) {
r = mk_app(r, arg, p);
}
return r;
}
expr parser::mk_app(std::initializer_list<expr> const & args, pos_info const & p) {
lean_assert(args.size() >= 2);
auto it = args.begin();
expr r = *it;
it++;
for (; it != args.end(); it++)
r = mk_app(r, *it, p);
return r;
}
parser_scope parser::mk_parser_scope(optional<options> const & opts) {
return parser_scope(opts, m_level_variables, m_variables, m_include_vars,
m_next_inst_idx, m_has_params,
m_local_level_decls, m_local_decls);
}
void parser::restore_parser_scope(parser_scope const & s) {
if (s.m_options) {
m_ios.set_options(*s.m_options);
updt_options();
}
m_local_level_decls = s.m_local_level_decls;
m_local_decls = s.m_local_decls;
m_level_variables = s.m_level_variables;
m_variables = s.m_variables;
m_include_vars = s.m_include_vars;
m_has_params = s.m_has_params;
m_next_inst_idx = s.m_next_inst_idx;
}
void parser::push_local_scope(bool save_options) {
optional<options> opts;
if (save_options)
opts = m_ios.get_options();
m_parser_scope_stack = cons(mk_parser_scope(opts), m_parser_scope_stack);
}
void parser::pop_local_scope() {
lean_assert(m_parser_scope_stack);
auto s = head(m_parser_scope_stack);
restore_parser_scope(s);
m_parser_scope_stack = tail(m_parser_scope_stack);
}
void parser::clear_expr_fvars() {
m_local_decls = local_expr_decls();
}
void parser::add_local_level(name const & n, level const & l, bool is_variable) {
if (m_local_level_decls.contains(n))
maybe_throw_error({sstream() << "invalid universe declaration, '" << n << "' shadows a local universe", pos()});
m_local_level_decls.insert(n, l);
if (is_variable) {
lean_assert(is_param(l));
m_level_variables.insert(n);
}
}
void parser::add_local_expr(name const & n, expr const & p, bool is_variable) {
if (!m_in_quote) {
// HACK: Certainly not in a pattern. We need this information early in `builtin_exprs::parse_quoted_expr`.
// Without it, the quotation would be elaborated only in `patexpr_to_expr`, with the local not being
// in the context any more. For example, in
//
// do foo (fun x, ```(%%x))
//
// the quotation would be elaborated only after parsing the full application of `foo`.
m_in_pattern = false;
}
m_local_decls.insert(n, p);
if (is_variable) {
lean_assert(is_local_p(p));
lean_assert(!contains_pos(local_type_p(p)));
m_variables.insert(local_name_p(p));
}
}
static void check_no_metavars(name const & n, expr const & e) {
lean_assert(is_local_p(e));
if (has_metavar(e)) {
throw generic_exception(none_expr(), [=](formatter const & /* fmt */) {
format r("failed to add declaration '");
r += format(n);
r += format("' to local context, type has metavariables");
return r;
});
}
}
void parser::add_variable(name const & n, expr const & v) {
lean_assert(is_local_p(v));
check_no_metavars(n, v);
add_local_expr(n, v, true);
}
void parser::add_parameter(name const & n, expr const & p) {
lean_assert(is_local_p(p));
check_no_metavars(n, p);
add_local_expr(n, p, false);
m_has_params = true;
}
bool parser::is_local_decl(expr const & l) {
lean_assert(is_local_p(l));
// TODO(Leo): add a name_set with internal ids if this is a bottleneck
for (pair<name, expr> const & p : m_local_decls.get_entries()) {
if (is_local_p(p.second) && local_name_p(p.second) == local_name_p(l))
return true;
}
return false;
}
bool parser::update_local_binder_info(name const & n, binder_info bi) {
auto it = get_local(n);
if (!it || !is_local_p(*it)) return false;
buffer<pair<name, expr>> entries;
to_buffer(m_local_decls.get_entries(), entries);
std::reverse(entries.begin(), entries.end());
unsigned idx = m_local_decls.find_idx(n);
lean_assert(idx > 0);
lean_assert_eq(entries[idx-1].second, *it);
buffer<expr> old_locals;
buffer<expr> new_locals;
old_locals.push_back(*it);
expr new_l = update_local(*it, bi);
entries[idx-1].second = new_l;
new_locals.push_back(new_l);
for (unsigned i = idx; i < entries.size(); i++) {
expr const & curr_e = entries[i].second;
expr r = is_local_p(curr_e) ? local_type_p(curr_e) : curr_e;
if (std::any_of(old_locals.begin(), old_locals.end(), [&](expr const & l) { return depends_on(r, l); })) {
r = replace_locals(r, old_locals, new_locals);
if (is_local_p(curr_e)) {
expr new_e = update_local(curr_e, r);
entries[i].second = new_e;
old_locals.push_back(curr_e);
new_locals.push_back(new_e);
} else {
entries[i].second = r;
}
}
}
auto new_entries = m_local_decls.get_entries();
unsigned sz_to_updt = entries.size() - idx + 1;
for (unsigned i = 0; i < sz_to_updt; i++)
new_entries = tail(new_entries); // remove entries that will be updated
for (unsigned i = idx-1; i < entries.size(); i++)
new_entries = cons(entries[i], new_entries);
m_local_decls.update_entries(new_entries);
return true;
}
unsigned parser::get_local_index(name const & n) const {
return m_local_decls.find_idx(n);
}
void parser::get_include_variables(buffer<expr> & vars) const {
m_include_vars.for_each([&](name const & n) {
vars.push_back(*get_local(n));
});
}
list<expr> parser::locals_to_context() const {
return map_filter<expr>(m_local_decls.get_entries(),
[](pair<name, expr> const & p, expr & out) {
out = p.second;
return is_local_p(p.second);
});
}
static unsigned g_level_add_prec = 10;
unsigned parser::get_small_nat() {
mpz val = get_num_val().get_numerator();
lean_assert(val >= 0);
if (!val.is_unsigned_int()) {
maybe_throw_error({"invalid numeral, value does not fit in a machine integer", pos()});
return 0;
}
return val.get_unsigned_int();
}
std::string parser::parse_string_lit() {
std::string v = get_str_val();
next();
return v;
}
unsigned parser::parse_small_nat() {
unsigned r = 0;
if (!curr_is_numeral()) {
auto _ = no_error_recovery_scope_if(curr_is_command());
maybe_throw_error({"(small) natural number expected", pos()});
} else {
r = get_small_nat();
}
next();
return r;
}
double parser::parse_double() {
double r = 0;
if (curr() != token_kind::Decimal) {
auto _ = no_error_recovery_scope_if(curr_is_command());
maybe_throw_error({"decimal value expected", pos()});
} else {
r = get_num_val().get_double();
}
next();
return r;
}
static level lift(level l, unsigned k) {
while (k > 0) {
k--;
l = mk_succ(l);
}
return l;
}
unsigned parser::curr_level_lbp() const {
if (curr_is_token(get_add_tk()))
return g_level_add_prec;
else
return 0;
}
level parser::parse_max_imax(bool is_max) {
auto p = pos();
next();
buffer<level> lvls;
while (curr_is_identifier() || curr_is_numeral() || curr_is_token(get_lparen_tk())) {
lvls.push_back(parse_level(get_max_prec()));
}
if (lvls.size() < 2) {
return parser_error_or_level(
{"invalid level expression, max must have at least two arguments", p});
}
unsigned i = lvls.size() - 1;
level r = lvls[i];
while (i > 0) {
--i;
if (is_max)
r = mk_max(lvls[i], r);
else
r = mk_imax(lvls[i], r);
}
return r;
}
level parser::parse_level_id() {
auto p = pos();
name id = get_name_val();
next();
if (auto it = m_local_level_decls.find(id))
return *it;
return parser_error_or_level({sstream() << "unknown universe '" << id << "'", p});
}
level parser::parse_level_nud() {
if (curr_is_token_or_id(get_max_tk())) {
return parse_max_imax(true);
} else if (curr_is_token_or_id(get_imax_tk())) {
return parse_max_imax(false);
} else if (curr_is_token_or_id(get_placeholder_tk())) {
next();
return mk_level_placeholder();
} else if (curr_is_token(get_lparen_tk())) {
next();
level l = parse_level();
check_token_next(get_rparen_tk(), "invalid level expression, ')' expected");
return l;
} else if (curr_is_numeral()) {
unsigned k = parse_small_nat();
return lift(level(), k);
} else if (curr_is_identifier()) {
return parse_level_id();
} else {
return parser_error_or_level({"invalid level expression", pos()});
}
}
level parser::parse_level_led(level left) {
auto p = pos();
if (curr_is_token(get_add_tk())) {
next();
if (curr_is_numeral()) {
unsigned k = parse_small_nat();
return lift(left, k);
} else {
return parser_error_or_level(
{"invalid level expression, right hand side of '+' "
"(aka universe lift operator) must be a numeral", p});
}
} else {
return parser_error_or_level({"invalid level expression", p});
}
}
level parser::parse_level(unsigned rbp) {
level left = parse_level_nud();
while (rbp < curr_level_lbp()) {
left = parse_level_led(left);
}
return left;
}
pair<expr, names> parser::elaborate(name const & /* decl_name */,
metavar_context & mctx, local_context_adapter const & adapter,
expr const & e, bool check_unassigned) {
expr tmp_e = adapter.translate_to(e);
pair<expr, names> r =
::lean::elaborate(m_env, get_options(), mctx, adapter.lctx(), tmp_e, check_unassigned, m_error_recovery);
expr new_e = r.first;
new_e = adapter.translate_from(new_e);
return mk_pair(new_e, r.second);
}
pair<expr, names> parser::elaborate(name const & decl_name, metavar_context & mctx, list<expr> const & lctx, expr const & e, bool check_unassigned) {
local_context_adapter adapter(lctx);
return elaborate(decl_name, mctx, adapter, e, check_unassigned);
}
pair<expr, names> parser::elaborate(name const & decl_name, metavar_context & mctx, expr const & e, bool check_unassigned) {
local_context_adapter adapter(m_local_decls);
return elaborate(decl_name, mctx, adapter, e, check_unassigned);
}
pair<expr, names> parser::elaborate(name const & decl_name, list<expr> const & ctx, expr const & e) {
metavar_context mctx;
return elaborate(decl_name, mctx, ctx, e, true);
}
pair<expr, names> parser::elaborate_type(name const & decl_name, list<expr> const & ctx, expr const & e) {
metavar_context mctx;
expr Type = copy_pos(e, mk_sort(mk_level_placeholder()));
expr new_e = copy_pos(e, mk_typed_expr(Type, e));
return elaborate(decl_name, mctx, ctx, new_e, true);
}
pair<expr, names> parser::elaborate_type(name const & decl_name, metavar_context & mctx, expr const & e) {
expr Type = copy_pos(e, mk_sort(mk_level_placeholder()));
expr new_e = copy_pos(e, mk_typed_expr(Type, e));
return elaborate(decl_name, mctx, new_e, true);
}
void parser::throw_invalid_open_binder(pos_info const & pos) {
maybe_throw_error({"invalid binder, '(', '{', '[', or identifier expected", pos});
}
/**
\brief Return an optional binder_info object based on the current token
- '(' : default
- '{' : implicit
- '[' : inst_implicit (i.e., implicit argument that should be
synthesized using type class resolution)
If simple_only, then only `(` is considered
*/
optional<binder_info> parser::parse_optional_binder_info(bool simple_only) {
if (curr_is_token(get_lparen_tk())) {
next();
return some(mk_binder_info());
} else if (simple_only) {
return optional<binder_info>();
} else if (curr_is_token(get_lcurly_tk())) {
next();
return some(mk_implicit_binder_info());
} else if (curr_is_token(get_lbracket_tk())) {
next();
return some(mk_inst_implicit_binder_info());
} else {
return optional<binder_info>();
}
}
/**
\brief Return binder_info object based on the current token, it fails if the current token
is not '(', '{', or '['
\see parse_optional_binder_info
*/
binder_info parser::parse_binder_info(bool simple_only) {
auto p = pos();
if (auto bi = parse_optional_binder_info(simple_only)) {
return *bi;
} else {
throw_invalid_open_binder(p);
return mk_binder_info();
}
}
/**
\brief Consume the next token based on the value of \c bi
- none : do not consume anything
- default : consume ')'
- implicit : consume '}'
- inst implicit : consume ']'
*/
void parser::parse_close_binder_info(optional<binder_info> const & bi) {
if (!bi) {
return;
} else if (is_implicit(*bi)) {
check_token_next(get_rcurly_tk(), "invalid declaration, '}' expected");
} else if (is_inst_implicit(*bi)) {
check_token_next(get_rbracket_tk(), "invalid declaration, ']' expected");
} else {
check_token_next(get_rparen_tk(), "invalid declaration, ')' expected");
}
}
/** \brief Parse <tt>ID ':' expr</tt>, where the expression represents the type of the identifier. */
expr parser::parse_binder_core(binder_info bi, unsigned rbp) {
auto p = pos();
name id;
if (curr_is_token(get_placeholder_tk())) {
id = "_x";
next();
} else {
id = check_atomic_id_next("invalid binder, atomic identifier expected");
}
expr type;
if (curr_is_token(get_colon_tk())) {
next();
type = parse_expr(rbp);
} else {
type = save_pos(mk_expr_placeholder(), p);
}
return save_pos(mk_local(id, type, bi), p);
}
expr parser::parse_binder(unsigned rbp) {
if (curr_is_identifier()) {
return parse_binder_core(mk_binder_info(), rbp);
} else {
bool simple_only = false;
binder_info bi = parse_binder_info(simple_only);
rbp = 0;
auto r = parse_binder_core(bi, rbp);
parse_close_binder_info(bi);
return r;
}
}
/**
\brief Parse <tt>ID ... ID ':' expr</tt>, where the expression
represents the type of the identifiers.
*/
void parser::parse_binder_block(buffer<expr> & r, binder_info bi, unsigned rbp, bool allow_default) {
buffer<pair<pos_info, name>> names;
while (curr_is_identifier() || curr_is_token(get_placeholder_tk())) {
auto p = pos();
if (curr_is_identifier()) {
names.emplace_back(p, check_atomic_id_next("invalid binder, atomic identifier expected"));
} else {
names.emplace_back(p, "_x");
next();
}
}
if (names.empty())
return maybe_throw_error({"invalid binder, identifier expected", pos()});
optional<expr> type;
if (curr_is_token(get_colon_tk())) {
next();
type = parse_expr(rbp);
if (allow_default && curr_is_token(get_assign_tk())) {
next();
expr val = parse_expr(rbp);
type = mk_opt_param(*type, val);
} else if (allow_default && curr_is_token(get_period_tk())) {
type = parse_auto_param(*this, *type);
}
} else if (allow_default && curr_is_token(get_assign_tk())) {
next();
expr val = parse_expr(rbp);
type = mk_opt_param(copy_pos(val, mk_expr_placeholder()), val);
}
for (auto p : names) {
expr arg_type = type ? *type : save_pos(mk_expr_placeholder(), p.first);
expr local = save_pos(mk_local(p.second, arg_type, bi), p.first);
add_local(local);
r.push_back(local);
}
}
expr parser::parse_inst_implicit_decl() {
binder_info bi = mk_inst_implicit_binder_info();
auto id_pos = pos();
name id;
expr type;
if (curr_is_identifier()) {
id = get_name_val();
next();
if (curr_is_token(get_colon_tk())) {
next();
type = parse_expr();
} else {
expr left = id_to_expr(id, id_pos);
id = mk_anonymous_inst_name();
unsigned rbp = 0;
while (rbp < curr_lbp()) {
left = parse_led(left);
}
type = left;
}
} else {
id = mk_anonymous_inst_name();
type = parse_expr();
}
expr local = save_pos(mk_local(id, type, bi), id_pos);
add_local(local);
return local;
}
void parser::parse_inst_implicit_decl(buffer<expr> & r) {
expr local = parse_inst_implicit_decl();
r.push_back(local);
}
void parser::parse_binders_core(buffer<expr> & r, parse_binders_config & cfg) {
bool first = true;
while (true) {
if (curr_is_identifier() || curr_is_token(get_placeholder_tk())) {
if (cfg.m_explicit_delimiters) {
throw parser_error("invalid binder declaration, delimiter/bracket expected (i.e., '(', '{', '[')",
pos());
}
while (curr_is_identifier() || curr_is_token(get_placeholder_tk())) {
auto p = pos();
name x;
if (curr_is_identifier()) {
x = check_atomic_id_next("invalid binder, atomic identifier expected");
} else {
x = "_x";
next();
}
expr type = save_pos(mk_expr_placeholder(), p);
expr local = save_pos(mk_local(x, type, mk_binder_info()), p);
add_local(local);
r.push_back(local);
}
cfg.m_last_block_delimited = false;
} else {
/* We only allow the default parameter value syntax for declarations with
surrounded by () */
bool new_allow_default = cfg.m_allow_default && curr_is_token(get_lparen_tk());
optional<binder_info> bi = parse_optional_binder_info(cfg.m_simple_only);
if (bi) {
if (first && cfg.m_infer_kind != nullptr) {
/* Parse {} or () prefix */
if (is_implicit(*bi) && curr_is_token(get_rcurly_tk())) {
next();
*cfg.m_infer_kind = implicit_infer_kind::RelaxedImplicit;
first = false;
continue;
} else if (is_explicit(*bi) && curr_is_token(get_rparen_tk())) {
next();
*cfg.m_infer_kind = implicit_infer_kind::None;
first = false;
continue;
} else {
*cfg.m_infer_kind = implicit_infer_kind::Implicit;
}
}
unsigned rbp = 0;
cfg.m_last_block_delimited = true;
if (is_inst_implicit(*bi)) {
parse_inst_implicit_decl(r);
} else {
if (cfg.m_simple_only || !parse_local_notation_decl(cfg.m_nentries))
parse_binder_block(r, *bi, rbp, new_allow_default);
}
parse_close_binder_info(bi);
} else {
return;
}
}
first = false;
}
}
local_environment parser::parse_binders(buffer<expr> & r, parse_binders_config & cfg) {
flet<environment> save1(m_env, m_env); // save environment
flet<local_expr_decls> save2(m_local_decls, m_local_decls);
unsigned old_sz = r.size();
parse_binders_core(r, cfg);
if (!cfg.m_allow_empty && old_sz == r.size())
throw_invalid_open_binder(pos());
return local_environment(m_env);
}
bool parser::parse_local_notation_decl(buffer<notation_entry> * nentries) {
if (curr_is_notation_decl(*this)) {
parser::in_notation_ctx ctx(*this);
buffer<token_entry> new_tokens;
bool overload = false;
bool allow_local = true;
auto ne = ::lean::parse_notation(*this, overload, new_tokens, allow_local);
for (auto const & te : new_tokens)
m_env = add_token(m_env, te);
if (nentries) nentries->push_back(ne);
m_env = add_notation(m_env, ne);
return true;
} else {
return false;
}
}
void parser::process_postponed(buffer<expr> const & args, bool is_left,
buffer<notation::action_kind> const & kinds,
buffer<list<expr>> const & nargs,
buffer<expr> const & ps,
buffer<pair<unsigned, pos_info>> const & scoped_info,
list<notation::action> const & postponed,
pos_info const & p,
buffer<expr> & new_args) {
unsigned args_idx = 0;
if (is_left) {
new_args.push_back(args[0]);
args_idx = 1;
}
unsigned kinds_idx = 0;
unsigned nargs_idx = 0;
unsigned scoped_idx = 0;
list<notation::action> it = postponed;
for (; kinds_idx < kinds.size(); kinds_idx++, args_idx++) {
auto k = kinds[kinds_idx];
switch (k) {
case notation::action_kind::Exprs: {
if (!it || head(it).kind() != k || nargs_idx >= nargs.size())
throw exception("ill-formed parsing tables");
notation::action const & a = head(it);
buffer<expr> r_args;
to_buffer(nargs[nargs_idx], r_args);
nargs_idx++;
expr rec = copy_with_new_pos(a.get_rec(), p);
expr r;
if (a.is_fold_right()) {
if (a.get_initial()) {
r = instantiate_rev(copy_with_new_pos(*a.get_initial(), p), new_args.size(), new_args.data());
} else {
r = r_args.back();
r_args.pop_back();
}
unsigned i = r_args.size();
while (i > 0) {
--i;
new_args.push_back(r_args[i]);
new_args.push_back(r);
r = instantiate_rev(rec, new_args.size(), new_args.data());
new_args.pop_back(); new_args.pop_back();
}
} else {
unsigned fidx = 0;
if (a.get_initial()) {
r = instantiate_rev(copy_with_new_pos(*a.get_initial(), p), new_args.size(), new_args.data());
} else {
r = r_args[0];
fidx++;
}
for (unsigned i = fidx; i < r_args.size(); i++) {
new_args.push_back(r_args[i]);
new_args.push_back(r);
r = instantiate_rev(rec, new_args.size(), new_args.data());
new_args.pop_back(); new_args.pop_back();
}
}
new_args.push_back(r);
it = tail(it);
break;
}
case notation::action_kind::ScopedExpr: {
if (!it || head(it).kind() != k || scoped_idx >= scoped_info.size())
throw exception("ill-formed parsing tables");
expr r = args[args_idx];
notation::action const & a = head(it);
unsigned ps_sz = scoped_info[scoped_idx].first;
pos_info binder_pos = scoped_info[scoped_idx].second;
scoped_idx++;
if (is_var(a.get_rec(), 0)) {
if (a.use_lambda_abstraction())
r = Fun_p(ps_sz, ps.data(), r);
else
r = Pi_p(ps_sz, ps.data(), r);
r = rec_save_pos(r, binder_pos);
} else {
expr rec = copy_with_new_pos(a.get_rec(), p);
unsigned i = ps_sz;
while (i > 0) {
--i;
expr const & l = ps[i];
if (a.use_lambda_abstraction())
r = Fun_p(l, r);
else
r = Pi_p(l, r);
r = save_pos(r, binder_pos);
new_args.push_back(r);
r = instantiate_rev(rec, new_args.size(), new_args.data());
new_args.pop_back();
}
}
new_args.push_back(r);
it = tail(it);
break;
}
default:
new_args.push_back(args[args_idx]);
break;
}
}
}
// Return true iff the current token is the terminator of some Exprs action, and store the matching pair in r
static bool curr_is_terminator_of_exprs_action(parser const & p, list<pair<notation::transition, parse_table>> const & lst, pair<notation::transition, parse_table> const * & r) {
for (auto const & pr : lst) {
notation::action const & a = pr.first.get_action();
if (a.kind() == notation::action_kind::Exprs &&
a.get_terminator() &&
p.curr_is_token(name(utf8_trim(a.get_terminator()->to_string())))) {
r = &pr;
return true;
}
}
return false;
}
// Return true iff \c lst contains a Skip action, and store the matching pair in r.
static bool has_skip(list<pair<notation::transition, parse_table>> const & lst, pair<notation::transition, parse_table> const * & r) {
for (auto const & p : lst) {
notation::action const & a = p.first.get_action();
if (a.kind() == notation::action_kind::Skip) {
r = &p;
return true;
}
}
return false;
}
static pair<notation::transition, parse_table> const * get_non_skip(list<pair<notation::transition, parse_table>> const & lst) {
for (auto const & p : lst) {
notation::action const & a = p.first.get_action();
if (a.kind() != notation::action_kind::Skip)
return &p;
}
return nullptr;
}
expr parser::parse_notation(parse_table t, expr * left) {
check_system("parse_notation");
lean_assert(curr() == token_kind::Keyword);
auto p = pos();
auto first_token = get_token_info().value();
buffer<expr> args;
buffer<notation::action_kind> kinds;
buffer<list<expr>> nargs; // nary args
buffer<expr> ps;
buffer<pair<unsigned, pos_info>> scoped_info; // size of ps and binder_pos for scoped_exprs
// Invariants:
// args.size() == kinds.size() if not left
// args.size() == kinds.size()+1 if left
// nargs.size() == number of Exprs in kinds
// scoped_info.size() == number of Scoped_Exprs in kinds
bool has_Exprs = false;
local_environment lenv(m_env);
pos_info binder_pos;
if (left)
args.push_back(*left);
while (true) {
if (curr() != token_kind::Keyword)
break;
auto r = t.find(get_token_info().value());
if (!r)
break;
pair<notation::transition, parse_table> const * curr_pair = nullptr;
if (tail(r)) {
// There is more than one possible actions.
// In the current implementation, we support the following possible cases (Skip, Expr), (Skip, Exprs) amd (Skip, ScopedExpr)
next();
if (curr_is_terminator_of_exprs_action(*this, r, curr_pair)) {
lean_assert(curr_pair->first.get_action().kind() == notation::action_kind::Exprs);
} else if (has_skip(r, curr_pair) && !curr_starts_expr()) {
lean_assert(curr_pair->first.get_action().kind() == notation::action_kind::Skip);
} else {
curr_pair = get_non_skip(r);
}
} else {
// there is only one possible action
curr_pair = &head(r);
if (curr_pair->first.get_action().kind() != notation::action_kind::Ext)
next();
}
lean_assert(curr_pair);
notation::action const & a = curr_pair->first.get_action();
switch (a.kind()) {
case notation::action_kind::Skip:
break;
case notation::action_kind::Expr:
args.push_back(parse_expr(a.rbp()));
kinds.push_back(a.kind());
break;
case notation::action_kind::Exprs: {
buffer<expr> r_args;
auto terminator = a.get_terminator();
if (terminator)
terminator = some(name(utf8_trim(terminator->to_string()))); // remove padding
if (!terminator || !curr_is_token(*terminator)) {
r_args.push_back(parse_expr(a.rbp()));
name sep = utf8_trim(a.get_sep().to_string()); // remove padding
while (curr_is_token(sep)) {
next();
r_args.push_back(parse_expr(a.rbp()));
}
}
if (terminator) {
if (curr_is_token(*terminator)) {
next();
} else {
maybe_throw_error({sstream() << "invalid composite expression, '"
<< *terminator << "' expected" , pos()});
}
}
has_Exprs = true;
args.push_back(expr()); // placeholder
kinds.push_back(a.kind());
nargs.push_back(to_list(r_args));
break;
}
case notation::action_kind::Binder:
binder_pos = pos();
ps.push_back(parse_binder(a.rbp()));
break;
case notation::action_kind::Binders:
binder_pos = pos();
lenv = parse_binders(ps, a.rbp());
break;
case notation::action_kind::ScopedExpr: {
expr r = parse_scoped_expr(ps, lenv, a.rbp());
args.push_back(r);
kinds.push_back(a.kind());
scoped_info.push_back(mk_pair(ps.size(), binder_pos));
break;
}
case notation::action_kind::Ext:
args.push_back(a.get_parse_fn()(*this, args.size(), args.data(), p));
kinds.push_back(a.kind());
break;
}
t = curr_pair->second;
}
list<notation::accepting> const & as = t.is_accepting();
if (is_nil(as)) {
if (m_backtracking_pos && !consumed_input()) throw backtracking_exception();
// TODO(gabriel): search children of t for accepting states
sstream msg;
msg << "invalid expression";
if (p != pos()) {
msg << " starting at " << p.first << ":" << p.second;
}
return parser_error_or_expr({msg, pos()});
}
lean_assert(left || args.size() == kinds.size());
lean_assert(!left || args.size() == kinds.size() + 1);
/*
IF there are multiple choices and Exprs was not used, we create a lambda for each choice.
In this case, we copy args to actual_args and store local constants in args. */
buffer<expr> actual_args;
buffer<expr> cs;
bool create_lambdas = length(as) > 1 && !has_Exprs;
if (create_lambdas) {
name x("x");
unsigned idx = 1;
for (expr & arg : args) {
actual_args.push_back(arg);
arg = mk_local(next_name(), x.append_after(idx), mk_expr_placeholder(), mk_binder_info());
idx++;
}
}
for (notation::accepting const & a : as) {
expr a_expr = a.get_expr();
if (m_in_quote)
a_expr = freeze_names(a_expr);
expr r = copy_with_new_pos(a_expr, p);
list<notation::action> const & postponed = a.get_postponed();
if (postponed) {
buffer<expr> new_args;
process_postponed(args, left, kinds, nargs, ps, scoped_info, postponed, p, new_args);
lean_assert(!args.empty());
r = instantiate_rev(r, new_args.size(), new_args.data());
} else {
lean_assert(nargs.empty() && scoped_info.empty());
r = instantiate_rev(r, args.size(), args.data());
}
if (create_lambdas) {
r = rec_save_pos(eta_reduce(Fun_p(args, r)), p);
}
cs.push_back(r);
}
expr r = save_pos(mk_choice(cs.size(), cs.data()), p);
if (create_lambdas) {
r = rec_save_pos(::lean::mk_app(r, actual_args), p);
}
return r;
}
expr parser::parse_nud_notation() {
return parse_notation(nud(), nullptr);
}
expr parser::parse_inaccessible() {
auto p = pos();
next();
expr t = parse_expr(get_max_prec());
return save_pos(mk_inaccessible(t), p);
}
expr parser::parse_placeholder() {
auto p = pos();
next();
return save_pos(mk_expr_placeholder(), p);
}
expr parser::parse_anonymous_var_pattern() {
auto p = pos();
next();
expr t = mk_local(next_name(), "_x", mk_expr_placeholder(), mk_binder_info());
return save_pos(t, p);
}
expr parser::parse_led_notation(expr left) {
if (led().find(get_token_info().value())) {
return parse_notation(led(), &left);
} else {
return mk_app(left, parse_expr(get_max_prec()), pos_of(left));
}
}
/**
\brief Auxiliary object for converting pattern_or_expr into a pattern.
The main points are:
1- Collect all pattern variables. Each pattern variable can only be
"declared" once. That is, the following equation is not valid
definition f : nat -> nat -> nat
| a a := a
2- We do not collect pattern variables inside inaccessible term such as:
.(f a)
Remark: An inaccessible term may contain a reference to a variable defined
later. Here is an example:
inductive imf {A B : Type} (f : A → B) : B → Type
| mk : ∀ (a : A), imf (f a)
definition inv {A B : Type} (f : A → B) : ∀ (b : B), imf f b → A
| .(f a) (imf.mk .f a) := a
The 'a' in .(f a) is a reference to the variable 'a' being declared at
(imf.mk .f a)
3- The type in type ascriptions is implicitly marked as inaccessible.
4- An inaccessible term cannot be the function in an application.
Example: (.f a) is not allowed.
5- In a pattern (f a), f must be a constructor or a constant tagged with the
[pattern] attribute */
struct to_pattern_fn {
parser & m_parser;
buffer<expr> & m_new_locals;
name_map<expr> m_locals_map; // local variable name --> its interpretation
expr_map<expr> m_anonymous_vars; // for _
to_pattern_fn(parser & p, buffer<expr> & new_locals):
m_parser(p), m_new_locals(new_locals) {}
environment const & env() { return m_parser.env(); }
/* Return true iff the constant n may occur in a pattern */
bool is_pattern_constant(name const & n) {
if (is_constructor(env(), n))
return true;
if (has_pattern_attribute(env(), n))
return true;
return false;
}
/* (Try to) process a choice-expression.
Return "some" if all alternatives are constants. The result will contain only the alternatives
that can occur in patterns.
*/
optional<expr> process_choice(expr const & e, expr const & ref) {
lean_assert(is_choice(e));
bool all_constant = true;
buffer<expr> pattern_constants;
for (unsigned i = 0; i < get_num_choices(e); i++) {
expr const & c = get_choice(e, i);
if (is_constant(c)) {
if (is_pattern_constant(const_name(c)))
pattern_constants.push_back(c);
} else {
all_constant = false;
}
}
if (pattern_constants.size() == get_num_choices(e)) {
return some_expr(e);
} else if (!pattern_constants.empty()) {
if (all_constant) {
/* Filter overloads that cannot occur in patterns. */
return some_expr(copy_pos(e, mk_choice(pattern_constants.size(), pattern_constants.data())));
} else {
m_parser.maybe_throw_error({
sstream() << "invalid pattern, '" << ref << "' is overloaded, "
<< "and some interpretations may occur in patterns and others not "
<< "(solution: use fully qualified names)",
m_parser.pos_of(ref)});
return none_expr();
}
} else {
return none_expr();
}
}
void add_new_local(expr const & l) {
name const & n = local_pp_name_p(l);
if (!n.is_atomic()) {
return m_parser.maybe_throw_error({
"invalid pattern: variable, constructor or constant tagged as pattern expected",
m_parser.pos_of(l)});
}
if (m_locals_map.contains(n)) {
return m_parser.maybe_throw_error({
sstream() << "invalid pattern, '" << n << "' already appeared in this pattern",
m_parser.pos_of(l)});
}
m_locals_map.insert(n, l);
m_new_locals.push_back(l);
}
void collect_new_local(expr const & e) {
name const & n = local_pp_name_p(e);
bool resolve_only = true;
expr new_e = m_parser.id_to_expr(n, m_parser.pos_of(e), resolve_only);
expr unew_e = unwrap_pos(new_e);
if (is_as_atomic(new_e)) {
new_e = get_app_fn(get_as_atomic_arg(new_e));
if (is_explicit(new_e))
new_e = get_explicit_arg(new_e);
}
if (is_constant(unew_e) && is_pattern_constant(const_name(unew_e))) {
m_locals_map.insert(n, new_e);
return;
} else if (is_choice(unew_e)) {
if (auto r = process_choice(unew_e, e)) {
m_locals_map.insert(n, *r);
return;
} else {
// assume e is a variable shadowing overloaded constants
}
}
add_new_local(e);
}
void collect_new_locals(expr const & e, bool skip_main_fn) {
if (is_typed_expr(e)) {
collect_new_locals(get_typed_expr_expr(e), false);
} else if (is_prenum(e) || is_string_literal(e)) {
// do nothing
} else if (is_inaccessible(e)) {
// do nothing
} else if (is_placeholder(e)) {
expr r = copy_pos(e, mk_local(m_parser.next_name(), "_x", copy_pos(e, mk_expr_placeholder()), mk_binder_info()));
m_new_locals.push_back(r);
m_anonymous_vars.insert(mk_pair(e, r));
} else if (is_as_pattern(e)) {
// skip `collect_new_local`: we assume the lhs to always be a new local
add_new_local(get_as_pattern_lhs(e));
collect_new_locals(get_as_pattern_rhs(e), false);
} else if (is_app(e)) {
collect_new_locals(app_fn(e), skip_main_fn);
collect_new_locals(app_arg(e), false);
} else if (is_choice(e)) {
if (!process_choice(e, e)) {
return m_parser.maybe_throw_error({
sstream() << "invalid pattern, '" << e << "' is overloaded, "
<< "and this kind of overloading is not currently supported in patterns",
m_parser.pos_of(e)});
}
} else if (is_local_p(e)) {
if (skip_main_fn) {
// do nothing
} else {
collect_new_local(e);
}
} else if (is_anonymous_constructor(e)) {
buffer<expr> args;
get_app_args(get_annotation_arg(e), args);
for (expr const & arg : args)
collect_new_locals(arg, skip_main_fn);
} else if (is_structure_instance(e)) {
auto info = get_structure_instance_info(e);
if (info.m_sources.size()) {
throw parser_error("invalid occurrence of structure notation source in pattern",
*get_pos_info(info.m_sources[0]));
}
for (expr const & val : info.m_field_values)
collect_new_locals(val, false);
} else if (is_annotation(e)) {
collect_new_locals(get_annotation_arg(e), skip_main_fn);
} else if (get_pos(e)) {
collect_new_locals(unwrap_pos(e), skip_main_fn);
} else if (is_constant(e) && is_pattern_constant(const_name(e))) {
// do nothing
} else {
return m_parser.maybe_throw_error({
"invalid pattern, must be an application, "
"constant, variable, type ascription, aliasing pattern or inaccessible term",
m_parser.pos_of(e)});
}
}
expr to_expr(expr const & e) {
return replace(e, [&](expr const & e, unsigned) {
if (is_local_p(e)) {
if (auto r = m_locals_map.find(local_pp_name_p(e)))
return some_expr(*r);
else
return some_expr(m_parser.patexpr_to_expr(e));
}
return none_expr();
});
}
expr visit(expr const & e) {
if (is_typed_expr(e)) {
expr new_v = visit(get_typed_expr_expr(e));
expr new_t = to_expr(get_typed_expr_type(e));
return copy_pos(e, mk_typed_expr(new_t, new_v));
} else if (is_prenum(e) || is_string_literal(e)) {
return e;
} else if (is_inaccessible(e)) {
return to_expr(e);
} else if (is_placeholder(e)) {
return m_anonymous_vars.find(e)->second;
} else if (is_as_pattern(e)) {
auto new_rhs = visit(get_as_pattern_rhs(e));
return copy_pos(e, mk_as_pattern(get_as_pattern_lhs(e), new_rhs));
} else if (is_app(e)) {
if (is_inaccessible(app_fn(e))) {
return m_parser.parser_error_or_expr({
"invalid inaccessible annotation, it cannot be used around functions in applications",
m_parser.pos_of(e)});
}
expr new_f = visit(app_fn(e));
expr new_a = visit(app_arg(e));
return update_app(e, new_f, new_a);
} else if (is_choice(e)) {
auto new_e = process_choice(e, e);
if (!new_e) {
return m_parser.mk_sorry(m_parser.pos_of(e), true);
} else if (!is_eqp(*new_e, e)) {
return visit(*new_e);
} else {
buffer<expr> new_args;
for (unsigned i = 0; i < get_num_choices(e); i++)
new_args.push_back(visit(get_choice(e, i)));
return mk_choice(new_args.size(), new_args.data());
}
} else if (is_local_p(e)) {
if (auto r = m_locals_map.find(local_pp_name_p(e)))
return *r;
else
return e;
} else if (is_anonymous_constructor(e)) {
buffer<expr> args;
expr a = get_annotation_arg(e);
expr fn = get_app_args(a, args);
lean_assert(is_placeholder(fn));
for (expr & arg : args)
arg = visit(arg);
expr r = copy_pos(a, mk_app(fn, args));
return copy_pos(e, mk_anonymous_constructor(r));
} else if (is_structure_instance(e)) {
auto info = get_structure_instance_info(e);
lean_assert(info.m_sources.empty());
for (expr & val : info.m_field_values)
val = visit(val);
return copy_pos(e, mk_structure_instance(info));
} else if (is_annotation(e)) {
return copy_pos(e, mk_annotation(get_annotation_kind(e), visit(get_annotation_arg(e))));
} else if (get_pos(e)) {
return visit(unwrap_pos(e));
} else if (is_constant(e) && is_pattern_constant(const_name(e))) {
return e;
} else {
return m_parser.parser_error_or_expr({
"invalid pattern, must be an application, "
"constant, variable, type ascription or inaccessible term",
m_parser.pos_of(e)});
}
}
expr fix_quoted_name(expr const & e) {
if (!is_app_of(e, get_lean_mk_name_str_name())) return e;
buffer<expr> args;
get_app_args(e, args);
args[0] = fix_quoted_name(args[0]);
args.push_back(mk_expr_placeholder());
return mk_app(mk_constant(get_lean_name_str_name()), args);
}
expr fix_quoted_names(expr const & e) {
return replace(e, [&](expr const & e) {
if (is_app_of(e, get_lean_mk_name_str_name()))
return some_expr(fix_quoted_name(e));
return none_expr();
});
}
expr operator()(expr const & e0, bool skip_main_fn) {
expr e = fix_quoted_names(e0);
collect_new_locals(e, skip_main_fn);
expr r = visit(e);
return r;
}
};
expr parser::patexpr_to_pattern(expr const & pat_or_expr, bool skip_main_fn, buffer<expr> & new_locals) {
undef_id_to_local_scope scope(*this);
return to_pattern_fn(*this, new_locals)(pat_or_expr, skip_main_fn);
}
expr parser::parse_pattern_or_expr(unsigned rbp) {
flet<bool> set_in_pattern(m_in_pattern, true);
if (m_id_behavior != id_behavior::AssumeLocalIfNotLocal) {
all_id_local_scope scope(*this);
return parse_expr(rbp);
} else {
// keep AssumeLocalIfNotLocal in quotes
return parse_expr(rbp);
}
}
expr parser::parse_pattern(std::function<expr(parser &)> const & fn, buffer<expr> & new_locals) {
all_id_local_scope scope(*this);
flet<bool> set_in_pattern(m_in_pattern, true);
expr r = fn(*this);
return patexpr_to_pattern(r, false, new_locals);
}
/* Auxiliary functional object for patexpr_to_expr.
We cannot simply use replace anymore because of the field notation.
To fix the local declarations, we need to track the local bindings when we
go inside lambda/pi/let. */
class patexpr_to_expr_fn : public replace_visitor {
parser & m_p;
names m_locals;
virtual expr visit_binding(expr const & e) override {
expr new_d = visit(binding_domain(e));
flet<names> set(m_locals, cons(binding_name(e), m_locals));
expr new_b = visit(binding_body(e));
return update_binding(e, new_d, new_b);
}
virtual expr visit_let(expr const & e) override {
expr new_type = visit(let_type(e));
expr new_val = visit(let_value(e));
flet<names> set(m_locals, cons(let_name(e), m_locals));
expr new_body = visit(let_body(e));
return update_let(e, new_type, new_val, new_body);
}
virtual expr visit_mdata(expr const & e) override {
if (is_inaccessible(e) && is_placeholder(get_annotation_arg(e))) {
return get_annotation_arg(e);
} else {
return replace_visitor::visit_mdata(e);
}
}
virtual expr visit_local(expr const & e) override {
return m_p.id_to_expr(local_pp_name(e), m_p.pos_of(e), true, m_locals);
}
public:
patexpr_to_expr_fn(parser & p):m_p(p) {}
};
expr parser::patexpr_to_expr(expr const & pat_or_expr) {
error_if_undef_scope scope(*this);
return patexpr_to_expr_fn(*this)(pat_or_expr);
}
optional<expr> parser::resolve_local(name const & id, pos_info const & p, names const & extra_locals) {
/* Remark: (auxiliary) local constants many not be atomic.
Example: when elaborating
protected def list.sizeof {α : Type u} [has_sizeof α] : list α → nat
| list.nil := 1
| (list.cons a l) := 1 + sizeof a + list.sizeof l
the local context will contain the auxiliary local constant `list.size_of`
*/
// extra locals
unsigned vidx = 0;
for (name const & extra : extra_locals) {
if (id == extra)
return some_expr(save_pos(mk_bvar(vidx), p));
vidx++;
}
// locals
if (auto it1 = m_local_decls.find(id)) {
return some_expr(copy_with_new_pos(*it1, p));
}
if (!id.is_atomic() && id.is_string()) {
if (auto r = resolve_local(id.get_prefix(), p, extra_locals)) {
auto field_pos = p;
field_pos.second += id.get_prefix().utf8_size();
return some_expr(save_pos(mk_field_notation_compact(*r, id.get_string().data()), field_pos)); // HACK: accessing Lean string as C String
} else {
return none_expr();
}
} else {
return none_expr();
}
}
expr parser::id_to_expr(name const & id, pos_info const & p, bool resolve_only, names const & extra_locals) {
buffer<level> lvl_buffer;
levels ls;
bool explicit_levels = false;
if (!resolve_only && curr_is_token(get_llevel_curly_tk())) {
next();
explicit_levels = true;
while (true) {
lvl_buffer.push_back(parse_level());
if (!curr_is_token(get_comma_tk()))
break;
else
next();
}
check_token_next(get_rcurly_tk(), "expected '}'");
ls = levels(lvl_buffer);
}
auto check_no_levels = [&] (levels const & ls, pos_info const & p) {
if (ls) {
maybe_throw_error({
"invalid use of explicit universe parameter, identifier is a variable, "
"parameter or a constant bound to parameters in a section", p});
}
};
if (!explicit_levels && m_id_behavior == id_behavior::AllLocal) {
return save_pos(mk_local(id, save_pos(mk_expr_placeholder(), p)), p);
}
if (auto r = resolve_local(id, p, extra_locals)) {
check_no_levels(ls, p);
return *r;
}
if (!explicit_levels && m_id_behavior == id_behavior::AssumeLocalIfNotLocal) {
return save_pos(mk_local(id, save_pos(mk_expr_placeholder(), p)), p);
}
for (name const & ns : get_namespaces(m_env)) {
auto new_id = ns + id;
if (!ns.is_anonymous() && m_env.find(new_id) &&
(!id.is_atomic() || !is_protected(m_env, new_id))) {
return save_pos(mk_constant(new_id, ls), p);
}
}
if (!id.is_atomic()) {
name new_id = id;
new_id = remove_root_prefix(new_id);
if (m_env.find(new_id)) {
return save_pos(mk_constant(new_id, ls), p);
}
}
optional<expr> r;
// globals
if (m_env.find(id))
r = save_pos(mk_constant(id, ls), p);
// aliases
auto as = get_expr_aliases(m_env, id);
if (!is_nil(as)) {
buffer<expr> new_as;
if (r)
new_as.push_back(*r);
for (auto const & e : as) {
new_as.push_back(copy_with_new_pos(mk_constant(e, ls), p));
}
r = save_pos(mk_choice(new_as.size(), new_as.data()), p);
}
if (!r) {
if (m_id_behavior == id_behavior::AssumeLocalIfUndef) {
expr local = mk_local(id, save_pos(mk_expr_placeholder(), p));
r = save_pos(local, p);
}
}
if (!r && !id.is_atomic() && id.is_string()) {
try {
auto _ = no_error_recovery_scope();
expr s = id_to_expr(id.get_prefix(), p, resolve_only, extra_locals);
auto field_pos = p;
field_pos.second += id.get_prefix().utf8_size();
r = save_pos(mk_field_notation_compact(s, id.get_string().data()), field_pos); // HACK: accessing Lean string as C String
} catch (exception &) {}
}
if (!r) {
return parser_error_or_expr({sstream() << "unknown identifier '" << id.escape() << "'", p});
}
return *r;
}
names parser::to_constants(name const & id, char const * msg, pos_info const & p) const {
buffer<name> rs;
std::function<void(expr const & e)> extract_names = [&](expr const & e) {
if (in_section(m_env) && is_as_atomic(e)) {
extract_names(get_app_fn(get_as_atomic_arg(e)));
} else if (is_explicit(e)) {
extract_names(get_explicit_arg(e));
} else if (is_choice(e)) {
for (unsigned i = 0; i < get_num_choices(e); i++)
extract_names(get_choice(e, i));
} else if (is_constant(e)) {
rs.push_back(const_name(e));
} else {
throw parser_error(msg, p);
}
};
// locals
if (auto it1 = m_local_decls.find(id)) {
extract_names(*it1);
return names(rs);
}
for (name const & ns : get_namespaces(m_env)) {
auto new_id = ns + id;
if (!ns.is_anonymous() && m_env.find(new_id) &&
(!id.is_atomic() || !is_protected(m_env, new_id))) {
return names(new_id);
}
}
if (!id.is_atomic()) {
name new_id = id;
new_id = remove_root_prefix(new_id);
if (m_env.find(new_id))
return names(new_id);
}
buffer<expr> alts;
// globals
if (m_env.find(id))
rs.push_back(id);
// aliases
auto as = get_expr_aliases(m_env, id);
for (name const & n : as) {
rs.push_back(n);
}
if (rs.empty()) {
throw parser_error(sstream() << "unknown identifier '" << id.escape() << "'", p);
}
return names(rs);
}
name parser::to_constant(name const & id, char const * msg, pos_info const & p) {
return head(to_constants(id, msg, p));
}
name parser::check_constant_next(char const * msg) {
auto p = pos();
name id = check_id_next(msg);
try {
return to_constant(id, msg, p);
} catch (parser_error e) {
maybe_throw_error(std::move(e));
return id;
}
}
expr parser::parse_id() {
auto p = pos();
lean_assert(curr_is_identifier());
name id = check_id_next("");
expr e = id_to_expr(id, p, /* resolve_only */ false);
return e;
}
expr parser::parse_numeral_expr(bool user_notation) {
auto p = pos();
mpz n = get_num_val().get_numerator();
next();
list<expr> vals;
if (user_notation)
vals = get_mpz_notation(m_env, n);
if (!vals) {
return save_pos(mk_prenum(n), p);
} else {
buffer<expr> cs;
cs.push_back(save_pos(mk_prenum(n), p));
for (expr const & c : vals)
cs.push_back(copy_with_new_pos(c, p));
if (cs.size() == 1)
return cs[0];
else
return save_pos(mk_choice(cs.size(), cs.data()), p);
}
}
expr parser::parse_decimal_expr() {
auto p = pos();
mpq val = get_num_val();
next();
expr num = save_pos(mk_prenum(val.get_numerator()), p);
if (val.get_denominator() == 1) {
return num;
} else {
expr den = save_pos(mk_prenum(val.get_denominator()), p);
expr div = save_pos(mk_constant(get_has_div_div_name()), p);
return save_pos(lean::mk_app(div, num, den), p);
}
}
expr parser::parse_string_expr() {
std::string v = get_str_val();
next();
return from_string(v);
}
expr parser::parse_char_expr() {
auto p = pos();
std::string v = get_str_val();
buffer<unsigned> tmp;
utf8_decode(v, tmp);
lean_assert(tmp.size() == 1);
next();
return mk_app(save_pos(mk_constant(get_char_of_nat_name()), p),
save_pos(mk_prenum(mpz(tmp[0])), p),
p);
}
expr parser::parse_nud() {
switch (curr()) {
case token_kind::Keyword:
if (curr_is_token(get_placeholder_tk()))
return parse_placeholder();
else
return parse_nud_notation();
case token_kind::Identifier: {
auto id_pos = pos();
auto id = get_name_val();
expr e = parse_id();
// if `id` is immediately followed by `@`, parse an as pattern `id@pat`
if (in_pattern() && id.is_atomic() && curr_is_token(get_explicit_tk())) {
lean_assert(is_local_p(e));
// note: This number is not accurate for an escaped identifier. We should be able to do a better job
// in the new backtracking parser.
auto id_len = utf8_strlen(id.to_string().c_str());
auto p = pos();
if (p.first == id_pos.first && p.second == id_pos.second + id_len) {
next();
auto pat = parse_expr(get_max_prec());
return save_pos(mk_as_pattern(e, pat), id_pos);
}
}
return e;
}
case token_kind::Numeral: return parse_numeral_expr();
case token_kind::Decimal: return parse_decimal_expr();
case token_kind::String: return parse_string_expr();
case token_kind::Char: return parse_char_expr();
default: return parser_error_or_expr({"invalid expression, unexpected token", pos()});
}
}
// Return true if the current token can be the beginning of an expression
bool parser::curr_starts_expr() {
switch (curr()) {
case token_kind::Keyword:
return !is_nil(nud().find(get_token_info().value()));
case token_kind::Identifier:
case token_kind::Numeral:
case token_kind::Decimal:
case token_kind::String:
default:
return false;
}
}
expr parser::parse_led(expr left) {
if (is_sort_wo_universe(left) &&
(curr_is_numeral() || curr_is_identifier() || curr_is_token(get_lparen_tk()) || curr_is_token(get_placeholder_tk()))) {
left = get_annotation_arg(left);
level left_l = sort_level(unwrap_pos(left));
level l = parse_level(get_max_prec());
lean_assert(left_l == mk_level_one() || left_l == mk_level_zero());
if (left_l == mk_level_one())
l = mk_succ(l);
return copy_pos(left, update_sort(unwrap_pos(left), l));
} else {
switch (curr()) {
case token_kind::Keyword:
return parse_led_notation(left);
case token_kind::FieldName: {
expr r = save_pos(mk_field_notation(left, get_name_val()), pos());
next();
return r;
}
case token_kind::FieldNum: {
expr r = save_pos(mk_field_notation(left, get_small_nat()), pos());
next();
return r;
}
default:
return mk_app(left, parse_expr(get_max_prec()), pos_of(left));
}
}
}
unsigned parser::curr_lbp() const {
switch (curr()) {
case token_kind::Keyword:
return get_token_info().expr_precedence();
case token_kind::CommandKeyword: case token_kind::Eof:
case token_kind::QuotedSymbol: case token_kind::DocBlock:
case token_kind::ModDocBlock:
return 0;
case token_kind::Identifier: case token_kind::Numeral:
case token_kind::Decimal: case token_kind::String:
case token_kind::Char:
return get_max_prec();
case token_kind::FieldNum: case token_kind::FieldName:
return get_max_prec()+1;
}
lean_unreachable(); // LCOV_EXCL_LINE
}
expr parser::parse_led_loop(expr left, unsigned rbp) {
while (rbp < curr_lbp()) {
auto _ = backtracking_scope();
try { left = parse_led(left); } catch (backtracking_exception) {}
// We did not consume any input, this can happen if we fail inside parse_notation.
if (!consumed_input()) break;
}
return left;
}
optional<expr> parser::maybe_parse_expr(unsigned rbp) {
auto _ = backtracking_scope();
try {
auto res = parse_expr(rbp);
if (consumed_input()) return some_expr(res);
} catch (backtracking_exception) {}
return none_expr();
}
expr parser::parse_expr(unsigned rbp) {
expr left = parse_nud();
return parse_led_loop(left, rbp);
}
pair<optional<name>, expr> parser::parse_id_tk_expr(name const & tk, unsigned rbp) {
if (curr_is_identifier()) {
auto id_pos = pos();
name id = get_name_val();
next();
if (curr_is_token(tk)) {
next();
return mk_pair(optional<name>(id), parse_expr(rbp));
} else {
expr left = id_to_expr(id, id_pos);
while (rbp < curr_lbp()) {
left = parse_led(left);
}
return mk_pair(optional<name>(), left);
}
} else {
return mk_pair(optional<name>(), parse_expr(rbp));
}
}
pair<optional<name>, expr> parser::parse_qualified_expr(unsigned rbp) {
return parse_id_tk_expr(get_colon_tk(), rbp);
}
pair<optional<name>, expr> parser::parse_optional_assignment(unsigned rbp) {
return parse_id_tk_expr(get_assign_tk(), rbp);
}
expr parser::parse_scoped_expr(unsigned num_ps, expr const * ps, local_environment const & lenv, unsigned rbp) {
local_scope scope(*this);
m_env = lenv;
for (unsigned i = 0; i < num_ps; i++)
add_local(ps[i]);
return parse_expr(rbp);
}
expr parser::parse_expr_with_env(local_environment const & lenv, unsigned rbp) {
flet<environment> set_env(m_env, lenv);
return parse_expr(rbp);
}
/** \brief Helper class for creating type context only if needed */
class lazy_type_context : public abstract_type_context {
environment m_env;
options m_opts;
std::unique_ptr<type_context_old> m_ctx;
type_context_old & ctx() {
if (!m_ctx)
m_ctx.reset(new type_context_old(m_env, m_opts));
return *m_ctx;
}
public:
lazy_type_context(environment const & env, options const & opts):m_env(env), m_opts(opts) {}
virtual ~lazy_type_context() {}
virtual environment const & env() const override { return const_cast<lazy_type_context*>(this)->ctx().env(); }
virtual expr whnf(expr const & e) override { return ctx().whnf(e); }
virtual bool is_def_eq(expr const & e1, expr const & e2) override { return ctx().is_def_eq(e1, e2); }
virtual expr infer(expr const & e) override { return ctx().infer(e); }
virtual expr check(expr const & e) override { return ctx().check(e); }
virtual optional<expr> is_stuck(expr const & e) override { return ctx().is_stuck(e); }
virtual name next_name() override { return ctx().next_name(); }
virtual optional<name> get_local_pp_name(expr const & e) override { return ctx().get_local_pp_name(e); }
};
void parser::parse_command(cmd_meta const & meta) {
if (curr() != token_kind::CommandKeyword) {
auto p = pos();
maybe_throw_error({"expected command", p});
return;
}
reset_thread_local();
m_last_cmd_pos = pos();
name cmd_name = get_token_info().value();
m_cmd_token = get_token_info().token();
if (auto it = cmds().find(cmd_name)) {
lazy_type_context tc(m_env, get_options());
scope_global_ios scope1(m_ios);
scope_trace_env scope2(m_env, m_ios.get_options(), tc);
scope_traces_as_messages traces_as_messages(get_stream_name(), pos());
if (is_notation_cmd(cmd_name)) {
in_notation_ctx ctx(*this);
if (it->get_skip_token())
next();
m_env = it->get_fn()(*this, meta);
} else {
if (it->get_skip_token())
next();
m_env = it->get_fn()(*this, meta);
}
} else {
auto p = pos();
next();
maybe_throw_error({sstream() << "unknown command '" << cmd_name << "'", p});
}
}
std::string parser::parse_doc_block() {
auto val = m_scanner.get_str_val();
next();
return val;
}
void parser::parse_mod_doc_block() {
m_scanner.get_str_val();
next();
}
#if defined(__GNUC__) && !defined(__CLANG__)
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
#endif
extern "C" object* lean_normalize_module_name(object* m);
name normalize_module_name(name m) {
return name(lean_normalize_module_name(m.to_obj_arg()));
}
void parser::process_imports() {
// we assume the Lean parser has already imported the modules into `m_env`
m_env = activate_export_decls(m_env, {}); // explicitly activate exports in root namespace
m_env = replay_export_decls_core(m_env, m_ios);
m_imports_parsed = true;
}
bool parser::parse_command_like() {
init_scanner();
m_error_since_last_cmd = false;
scope_pos_info_provider scope1(*this);
check_interrupted();
if (!m_imports_parsed) {
process_imports();
return false;
}
switch (curr()) {
case token_kind::CommandKeyword:
parse_command(cmd_meta());
updt_options();
break;
case token_kind::DocBlock:
parse_command(cmd_meta({}, {}, some(parse_doc_block())));
break;
case token_kind::ModDocBlock:
parse_mod_doc_block();
break;
case token_kind::Eof:
if (has_open_scopes(m_env)) {
maybe_throw_error({"invalid end of module, expecting 'end'", pos()});
}
return true;
break;
case token_kind::Keyword:
if (curr_is_token(get_period_tk())) {
next();
break;
}
/* fall-thru */
default:
throw parser_error("command expected", pos());
}
return false;
}
bool parser::curr_is_command_like() const {
switch (curr()) {
case token_kind::CommandKeyword:
case token_kind::Eof:
case token_kind::DocBlock:
case token_kind::ModDocBlock:
return true;
case token_kind::Keyword:
return curr_is_token(get_period_tk());
default:
return false;
}
}
std::shared_ptr<snapshot> parser::mk_snapshot() {
return std::make_shared<snapshot>(
m_env, m_ngen, m_local_level_decls, m_local_decls,
m_level_variables, m_variables, m_include_vars,
m_ios.get_options(), m_imports_parsed, m_ignore_noncomputable, m_parser_scope_stack, m_next_inst_idx, pos());
}
void parser::reset(snapshot const & s) {
m_scanner.skip_to_pos(s.m_pos);
m_env = s.m_env;
m_ngen = s.m_ngen;
m_ios.set_options(s.m_options);
m_local_level_decls = s.m_lds;
m_local_decls = s.m_eds;
m_level_variables = s.m_lvars;
m_variables = s.m_vars;
m_include_vars = s.m_include_vars;
m_imports_parsed = s.m_imports_parsed;
m_ignore_noncomputable = s.m_noncomputable_theory;
m_parser_scope_stack = s.m_parser_scope_stack;
m_next_inst_idx = s.m_next_inst_idx;
}
pos_info parser::get_some_pos() const {
return m_last_cmd_pos;
}
char const * parser::get_file_name() const {
return get_stream_name().c_str();
}
message_builder parser::mk_message(pos_info const &p, message_severity severity) const {
std::shared_ptr<abstract_type_context> tc = std::make_shared<type_context_old>(env(), get_options());
return message_builder(tc, env(), ios(), get_file_name(), p, severity);
}
message_builder parser::mk_message(pos_info const & start_pos, pos_info const & end_pos, message_severity severity) const {
std::shared_ptr<abstract_type_context> tc = std::make_shared<type_context_old>(env(), get_options());
message_builder b(tc, env(), ios(), get_file_name(), start_pos, severity);
b.set_end_pos(end_pos);
return b;
}
message_builder parser::mk_message(message_severity severity) const {
return mk_message(pos(), severity);
}
void parser::init_scanner() {
if (!m_scanner_inited) {
m_curr = m_scanner.scan(m_env); // same code as scan(), but without break-at-pos checking
m_scanner_inited = true;
}
}
void parser::maybe_throw_error(parser_error && err) {
if (m_error_recovery) {
auto err_pos = err.get_pos() ? *err.get_pos() : pos();
if (err_pos > m_last_recovered_error_pos) {
check_system("parser error recovery");
mk_message(ERROR).set_exception(err).report();
m_last_recovered_error_pos = err_pos;
m_error_since_last_cmd = true;
}
} else {
throw err;
}
}
expr parser::parser_error_or_expr(parser_error && err) {
auto err_pos = err.get_pos() ? *err.get_pos() : pos();
maybe_throw_error(std::move(err));
return mk_sorry(err_pos, true);
}
level parser::parser_error_or_level(parser_error && err) {
maybe_throw_error(std::move(err));
return mk_level_placeholder();
}
environment parser::parse_commands() {
bool done = false;
while (!done) {
try {
check_system("module_parser::parse_next_command_like");
done = parse_command_like();
} catch (parser_exception & ex) {
report_message(ex);
sync_command();
} catch (throwable & ex) {
mk_message(m_last_cmd_pos, ERROR).set_exception(ex).report();
sync_command();
} catch (interrupt_parser) {
// this exception is thrown by the exit command
done = true;
}
}
return env();
}
void initialize_parser() {
g_frontend_fresh = new name("_ffresh");
register_name_generator_prefix(*g_frontend_fresh);
g_parser_show_errors = new name{"parser", "show_errors"};
register_bool_option(*g_parser_show_errors, LEAN_DEFAULT_PARSER_SHOW_ERRORS,
"(lean parser) display error messages in the regular output channel");
}
void finalize_parser() {
delete g_frontend_fresh;
delete g_parser_show_errors;
}
}