/* Copyright (c) 2013 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura */ #include "kernel_exception.h" #include "environment.h" #include "type_check.h" #include "printer.h" #include "toplevel.h" #include "builtin.h" #include "arith.h" #include "normalize.h" #include "abstract.h" #include "exception.h" #include "trace.h" #include "test.h" using namespace lean; static void tst1() { environment env; level u = env.add_uvar("u", level() + 1); level w = env.add_uvar("w", u + 1); lean_assert(!env.has_children()); lean_assert(!env.has_parent()); { environment child = env.mk_child(); lean_assert(child.is_ge(w, u)); lean_assert(child.is_ge(w, level() + 2)); lean_assert(env.is_ge(w, level() + 2)); lean_assert(env.has_children()); lean_assert(child.has_parent()); lean_assert(!env.has_parent()); try { level o = env.add_uvar("o", w + 1); lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << "\n"; } } std::cout << "tst1 checkpoint" << std::endl; level o = env.add_uvar("o", w + 1); lean_assert(!env.has_children()); std::cout << env; } static environment mk_child() { environment env; level u = env.add_uvar("u", level() + 1); return env.mk_child(); } static void tst2() { environment child = mk_child(); lean_assert(child.has_parent()); lean_assert(!child.has_children()); environment parent = child.parent(); std::cout << parent; lean_assert(parent.has_children()); std::cout << "uvar: " << child.get_uvar("u") << "\n"; } static void tst3() { environment env; try { env.add_definition("a", Int, Const("a")); lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << "\n"; } env.add_definition("a", Int, iAdd(iVal(1), iVal(2))); std::cout << env << "\n"; expr t = iAdd(Const("a"), iVal(1)); std::cout << t << " --> " << normalize(t, env) << "\n"; lean_assert(normalize(t, env) == iVal(4)); env.add_definition("b", Int, iMul(iVal(2), Const("a"))); std::cout << "b --> " << normalize(Const("b"), env) << "\n"; lean_assert(normalize(Const("b"), env) == iVal(6)); try { env.add_definition("c", arrow(Int, Int), Const("a")); lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << "\n"; } try { env.add_definition("a", Int, iVal(10)); lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << "\n"; } environment c_env = env.mk_child(); try { env.add_definition("c", Int, Const("a")); lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << "\n"; } lean_assert(normalize(Const("b"), env) == iVal(6)); lean_assert(normalize(Const("b"), c_env) == iVal(6)); c_env.add_definition("c", Int, Const("a")); lean_assert(normalize(Const("c"), c_env) == iVal(3)); try { expr r = normalize(Const("c"), env); lean_assert(r == iVal(3)); lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << std::endl; } std::cout << "end tst3" << std::endl; } static void tst4() { environment env; env.add_definition("a", Int, iVal(1), true); // add opaque definition expr t = iAdd(Const("a"), iVal(1)); std::cout << t << " --> " << normalize(t, env) << "\n"; lean_assert(normalize(t, env) == t); env.add_definition("b", Int, iAdd(Const("a"), iVal(1))); expr t2 = iSub(Const("b"), iVal(9)); std::cout << t2 << " --> " << normalize(t2, env) << "\n"; lean_assert(normalize(t2, env) == iSub(iAdd(Const("a"), iVal(1)), iVal(9))); } static void tst5() { environment env; env.add_definition("a", Int, iVal(1), true); // add opaque definition try { std::cout << infer_type(iAdd(Const("a"), Int), env) << "\n"; lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << "\n"; } } static void tst6() { environment env; level u = env.add_uvar("u", level() + 1); level w = env.add_uvar("w", u + 1); env.add_var("f", arrow(Type(u), Type(u))); expr t = Const("f")(Int); std::cout << "type of " << t << " is " << infer_type(t, env) << "\n"; try { infer_type(Const("f")(Type(w)), env); lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << "\n"; } try { infer_type(Const("f")(Type(u)), env); lean_unreachable(); } catch (exception const & ex) { std::cout << "expected error: " << ex.what() << "\n"; } t = Const("f")(Type()); std::cout << "type of " << t << " is " << infer_type(t, env) << "\n"; std::cout << infer_type(arrow(Type(u), Type(w)), env) << "\n"; lean_assert(infer_type(arrow(Type(u), Type(w)), env) == Type(max(u+1, w+1))); std::cout << infer_type(arrow(Int, Int), env) << "\n"; lean_assert(infer_type(arrow(Int, Int), env) == Type()); } static void tst7() { environment env = mk_toplevel(); env.add_var("a", Int); env.add_var("b", Int); expr t = If(Int, True, Const("a"), Const("b")); std::cout << t << " --> " << normalize(t, env) << "\n"; std::cout << infer_type(t, env) << "\n"; std::cout << "Environment\n" << env; } static void tst8() { environment env; std::cout << "=======================\n"; env.add_var("a", Type()); env.add_var("b", Type()); environment env2 = env.mk_child(); env2.add_var("c", Type()); env2.add_var("d", Type()); env2.add_var("e", Type()); unsigned counter = 0; std::for_each(env2.begin_local_objects(), env2.end_local_objects(), [&](object const & obj) { std::cout << obj.keyword() << " " << obj.get_name() << "\n"; counter++; }); lean_assert(counter == 3); std::cout << "=======================\n"; counter = 0; std::for_each(env2.begin_objects(), env2.end_objects(), [&](object const & obj) { std::cout << obj.keyword() << " " << obj.get_name() << "\n"; counter++; }); lean_assert(counter == 5); environment env3 = env2.mk_child(); env3.add_var("f", Type() >> Type()); std::cout << "=======================\n"; counter = 0; std::for_each(env3.begin_objects(), env3.end_objects(), [&](object const & obj) { std::cout << obj.keyword() << " " << obj.get_name() << "\n"; counter++; }); lean_assert(counter == 6); } static void tst9() { try { environment env; env.add_uvar("u1", level()); env.add_uvar("u2", level()); env.add_uvar("u1", level("u2")); } catch (already_declared_exception & ex) { std::cout << ex.what() << "\n"; level l = ex.get_environment().get_uvar(ex.get_name()); std::cout << l << "\n"; } } int main() { enable_trace("is_convertible"); tst1(); tst2(); tst3(); tst4(); tst5(); tst6(); tst7(); tst8(); tst9(); return has_violations() ? 1 : 0; }