/* Copyright (c) 2013-2014 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura */ #include #include "util/buffer.h" #include "util/sstream.h" #include "kernel/replace_fn.h" #include "kernel/for_each_fn.h" #include "kernel/abstract.h" #include "kernel/type_checker.h" #include "library/kernel_bindings.h" #include "library/tactic/goal.h" namespace lean { format goal::pp(formatter const & fmt) const { options const & opts = fmt.get_options(); unsigned indent = get_pp_indent(opts); bool unicode = get_pp_unicode(opts); format turnstile = unicode ? format("\u22A2") /* ⊢ */ : format("|-"); expr conclusion = m_type; buffer tmp; get_app_args(m_meta, tmp); bool first = true; format r; auto end = tmp.end(); for (auto it = tmp.begin(); it != end; ++it) { if (first) first = false; else r += compose(comma(), line()); expr l = *it; r += fmt(l) + space() + colon() + nest(indent, line() + fmt(mlocal_type(l))); } r = group(r); r += line() + turnstile + space() + nest(indent, fmt(conclusion)); return group(r); } expr goal::abstract(expr const & v) const { buffer locals; get_app_args(m_meta, locals); return Fun(locals, v); } expr goal::mk_meta(name const & n, expr const & type, bool only_contextual) const { buffer locals; expr this_mvar = get_app_args(m_meta, locals); if (only_contextual) { auto new_end = std::remove_if(locals.begin(), locals.end(), [](expr const & l) { return !local_info(l).is_contextual(); }); locals.shrink(locals.size() - (locals.end() - new_end)); } expr mvar = copy_tag(this_mvar, mk_metavar(n, Pi(locals, type))); return copy_tag(m_meta, mk_app(mvar, locals)); } static bool validate_locals(expr const & r, unsigned num_locals, expr const * locals) { bool failed = false; for_each(r, [&](expr const & e, unsigned) { if (!has_local(e) || failed) return false; if (is_local(e) && !std::any_of(locals, locals + num_locals, [&](expr const & l) { return mlocal_name(l) == mlocal_name(e); })) { failed = true; return false; } return true; }); return !failed; } bool goal::validate_locals() const { buffer locals; get_app_args(m_meta, locals); if (!::lean::validate_locals(m_type, locals.size(), locals.data())) return false; unsigned i = locals.size(); while (i > 0) { --i; if (!::lean::validate_locals(mlocal_type(locals[i]), i, locals.data())) return false; } return true; } bool goal::validate(environment const & env) const { if (validate_locals()) { type_checker tc(env); return tc.is_def_eq(tc.check(m_meta).first, m_type).first; } else { return false; } } DECL_UDATA(goal) static int mk_goal(lua_State * L) { return push_goal(L, goal(to_expr(L, 1), to_expr(L, 2))); } static int goal_meta(lua_State * L) { return push_expr(L, to_goal(L, 1).get_meta()); } static int goal_type(lua_State * L) { return push_expr(L, to_goal(L, 1).get_type()); } static int goal_tostring(lua_State * L) { std::ostringstream out; goal & g = to_goal(L, 1); formatter fmt = mk_formatter(L); options opts = get_global_options(L); out << mk_pair(g.pp(fmt), opts); lua_pushstring(L, out.str().c_str()); return 1; } static int goal_mk_meta(lua_State * L) { int nargs = lua_gettop(L); return push_expr(L, to_goal(L, 1).mk_meta(to_name_ext(L, 2), to_expr(L, 3), nargs == 4 ? lua_toboolean(L, 4) : true)); } static int goal_pp(lua_State * L) { int nargs = lua_gettop(L); goal & g = to_goal(L, 1); if (nargs == 1) { return push_format(L, g.pp(mk_formatter(L))); } else { return push_format(L, g.pp(to_formatter(L, 2))); } } static int goal_validate_locals(lua_State * L) { return push_boolean(L, to_goal(L, 1).validate_locals()); } static int goal_validate(lua_State * L) { return push_boolean(L, to_goal(L, 1).validate(to_environment(L, 2))); } static int goal_abstract(lua_State * L) { return push_expr(L, to_goal(L, 1).abstract(to_expr(L, 2))); } static int goal_name(lua_State * L) { return push_name(L, to_goal(L, 1).get_name()); } static const struct luaL_Reg goal_m[] = { {"__gc", goal_gc}, // never throws {"__tostring", safe_function}, {"abstract", safe_function}, {"mk_meta", safe_function}, {"pp", safe_function}, {"validate", safe_function}, {"validate_locals", safe_function}, {"meta", safe_function}, {"type", safe_function}, {"name", safe_function}, {0, 0} }; void open_goal(lua_State * L) { luaL_newmetatable(L, goal_mt); lua_pushvalue(L, -1); lua_setfield(L, -2, "__index"); setfuncs(L, goal_m, 0); SET_GLOBAL_FUN(goal_pred, "is_goal"); SET_GLOBAL_FUN(mk_goal, "goal"); } }