1e6f7cdbb4
It is like a theorem, but it is discarded after checking
226 lines
8.5 KiB
C++
226 lines
8.5 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 <limits>
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#include <utility>
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#include "util/pair.h"
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#include "frontends/lean/token_table.h"
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namespace lean {
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static unsigned g_arrow_prec = 25;
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static unsigned g_max_prec = std::numeric_limits<unsigned>::max();
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static unsigned g_plus_prec = 65;
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static unsigned g_cup_prec = 60;
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unsigned get_max_prec() { return g_max_prec; }
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unsigned get_arrow_prec() { return g_arrow_prec; }
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token_table add_command_token(token_table const & s, char const * token) {
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return insert(s, token, token_info(token));
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}
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token_table add_command_token(token_table const & s, char const * token, char const * val) {
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return insert(s, token, token_info(token, val));
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}
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token_table add_token(token_table const & s, char const * token, unsigned prec) {
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return insert(s, token, token_info(token, prec));
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}
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token_table add_token(token_table const & s, char const * token, char const * val, unsigned prec) {
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return insert(s, token, token_info(token, val, prec));
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}
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token_table const * find(token_table const & s, char c) {
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return s.find(c);
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}
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token_info const * value_of(token_table const & s) {
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return s.value();
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}
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optional<unsigned> get_precedence(token_table const & s, char const * token) {
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auto it = find(s, token);
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return it ? optional<unsigned>(it->precedence()) : optional<unsigned>();
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}
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bool is_token(token_table const & s, char const * token) {
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return static_cast<bool>(find(s, token));
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}
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void for_each(token_table const & s, std::function<void(char const *, token_info const &)> const & fn) {
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s.for_each([&](unsigned num, char const * keys, token_info const & info) {
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buffer<char> str;
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str.append(num, keys);
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str.push_back(0);
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fn(str.data(), info);
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});
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}
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void display(std::ostream & out, token_table const & s) {
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for_each(s, [&](char const * token, token_info const & info) {
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out << "`" << token << "`:" << info.precedence();
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if (info.is_command())
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out << " [command]";
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if (info.value() != info.token())
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out << " " << info.value();
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out << "\n";
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});
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}
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static char const * g_lambda_unicode = "\u03BB";
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static char const * g_pi_unicode = "\u03A0";
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static char const * g_forall_unicode = "\u2200";
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static char const * g_arrow_unicode = "\u2192";
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static char const * g_cup = "\u2294";
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static char const * g_qed_unicode = "∎";
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void init_token_table(token_table & t) {
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pair<char const *, unsigned> builtin[] =
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{{"fun", 0}, {"Pi", 0}, {"let", 0}, {"in", 0}, {"have", 0}, {"show", 0}, {"obtain", 0}, {"by", 0}, {"then", 0},
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{"from", 0}, {"(", g_max_prec}, {")", 0}, {"{", g_max_prec}, {"}", 0}, {"_", g_max_prec},
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{"[", g_max_prec}, {"]", 0}, {"⦃", g_max_prec}, {"⦄", 0}, {".{", 0}, {"Type", g_max_prec},
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{"using", 0}, {"|", 0}, {"!", g_max_prec}, {"with", 0}, {"...", 0}, {",", 0},
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{".", 0}, {":", 0}, {"::", 0}, {"calc", 0}, {":=", 0}, {"--", 0}, {"#", 0},
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{"(*", 0}, {"/-", 0}, {"begin", g_max_prec}, {"proof", g_max_prec}, {"qed", 0}, {"@", g_max_prec},
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{"sorry", g_max_prec}, {"+", g_plus_prec}, {g_cup, g_cup_prec}, {"->", g_arrow_prec}, {"local", 0},
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{nullptr, 0}};
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char const * commands[] =
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{"theorem", "axiom", "variable", "protected", "private", "opaque", "definition", "example", "coercion",
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"variables", "parameter", "parameters", "constant", "constants", "[persistent]", "[visible]", "[instance]",
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"[off]", "[on]", "[none]", "[class]", "[coercion]", "[reducible]", "reducible", "irreducible",
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"evaluate", "check", "eval", "[priority", "print", "end", "namespace", "section", "import",
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"inductive", "record", "renaming", "extends", "structure", "module", "universe", "universes",
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"precedence", "reserve", "infixl", "infixr", "infix", "postfix", "prefix", "notation", "context",
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"exit", "set_option", "open", "export", "calc_subst", "calc_refl", "calc_trans", "calc_symm", "tactic_hint",
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"add_begin_end_tactic", "set_begin_end_tactic", "instance", "class",
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"include", "omit", "#erase_cache", "#projections", nullptr};
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pair<char const *, char const *> aliases[] =
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{{g_lambda_unicode, "fun"}, {"forall", "Pi"}, {g_forall_unicode, "Pi"}, {g_pi_unicode, "Pi"},
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{g_qed_unicode, "qed"}, {nullptr, nullptr}};
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pair<char const *, char const *> cmd_aliases[] =
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{{"lemma", "theorem"}, {"corollary", "theorem"}, {"hypothesis", "parameter"}, {"conjecture", "parameter"},
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{nullptr, nullptr}};
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auto it = builtin;
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while (it->first) {
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t = add_token(t, it->first, it->second);
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it++;
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}
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auto it2 = commands;
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while (*it2) {
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t = add_command_token(t, *it2);
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++it2;
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}
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auto it3 = aliases;
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while (it3->first) {
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t = add_token(t, it3->first, it3->second, 0);
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it3++;
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}
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t = add_token(t, g_arrow_unicode, "->", get_arrow_prec());
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auto it4 = cmd_aliases;
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while (it4->first) {
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t = add_command_token(t, it4->first, it4->second);
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++it4;
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}
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}
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static token_table * g_default_token_table = nullptr;
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token_table mk_default_token_table() {
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return *g_default_token_table;
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}
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void initialize_token_table() {
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g_default_token_table = new token_table();
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init_token_table(*g_default_token_table);
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}
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void finalize_token_table() {
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delete g_default_token_table;
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}
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token_table mk_token_table() { return token_table(); }
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DECL_UDATA(token_table)
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static int mk_token_table(lua_State * L) { return push_token_table(L, mk_token_table()); }
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static int mk_default_token_table(lua_State * L) { return push_token_table(L, mk_default_token_table()); }
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static int add_command_token(lua_State * L) {
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int nargs = lua_gettop(L);
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if (nargs == 2)
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return push_token_table(L, add_command_token(to_token_table(L, 1), lua_tostring(L, 2)));
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else
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return push_token_table(L, add_command_token(to_token_table(L, 1), lua_tostring(L, 2), lua_tostring(L, 3)));
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}
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static int add_token(lua_State * L) {
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int nargs = lua_gettop(L);
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if (nargs == 3)
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return push_token_table(L, add_token(to_token_table(L, 1), lua_tostring(L, 2), lua_tonumber(L, 3)));
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else
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return push_token_table(L, add_token(to_token_table(L, 1), lua_tostring(L, 2), lua_tostring(L, 3), lua_tonumber(L, 4)));
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}
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static int merge(lua_State * L) {
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return push_token_table(L, merge(to_token_table(L, 1), to_token_table(L, 2)));
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}
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static int find(lua_State * L) {
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char k;
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if (lua_isnumber(L, 2)) {
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k = lua_tonumber(L, 2);
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} else {
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char const * str = lua_tostring(L, 2);
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if (strlen(str) != 1)
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throw exception("arg #2 must be a string of length 1");
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k = str[0];
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}
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auto it = to_token_table(L, 1).find(k);
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if (it)
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return push_token_table(L, *it);
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else
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return push_nil(L);
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}
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static int value_of(lua_State * L) {
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auto it = value_of(to_token_table(L, 1));
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if (it) {
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push_boolean(L, it->is_command());
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push_name(L, it->value());
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push_integer(L, it->precedence());
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return 3;
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} else {
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push_nil(L);
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return 1;
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}
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}
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static int for_each(lua_State * L) {
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token_table const & t = to_token_table(L, 1);
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luaL_checktype(L, 2, LUA_TFUNCTION); // user-fun
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for_each(t, [&](char const * k, token_info const & info) {
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lua_pushvalue(L, 2);
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lua_pushstring(L, k);
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lua_pushboolean(L, info.is_command());
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push_name(L, info.value());
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lua_pushinteger(L, info.precedence());
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pcall(L, 4, 0, 0);
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});
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return 0;
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}
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static const struct luaL_Reg token_table_m[] = {
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{"__gc", token_table_gc},
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{"add_command_token", safe_function<add_command_token>},
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{"add_token", safe_function<add_token>},
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{"merge", safe_function<merge>},
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{"find", safe_function<find>},
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{"value_of", safe_function<value_of>},
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{"for_each", safe_function<for_each>},
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{0, 0}
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};
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void open_token_table(lua_State * L) {
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luaL_newmetatable(L, token_table_mt);
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lua_pushvalue(L, -1);
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lua_setfield(L, -2, "__index");
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setfuncs(L, token_table_m, 0);
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SET_GLOBAL_FUN(token_table_pred, "is_token_table");
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SET_GLOBAL_FUN(mk_default_token_table, "default_token_table");
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SET_GLOBAL_FUN(mk_token_table, "token_table");
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}
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}
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