lean2/src/tests/library/arith.cpp

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/*
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 "util/thread.h"
#include "util/test.h"
#include "kernel/kernel.h"
#include "kernel/normalizer.h"
#include "kernel/type_checker.h"
#include "kernel/abstract.h"
#include "library/io_state_stream.h"
#include "library/arith/arith.h"
#include "frontends/lean/frontend.h"
#include "frontends/lua/register_modules.h"
using namespace lean;
static void tst0() {
environment env;
init_test_frontend(env);
normalizer norm(env);
env->add_var("n", Nat);
expr n = Const("n");
lean_assert_eq(mk_nat_type(), Nat);
env->add_var("x", Real);
expr x = Const("x");
lean_assert_eq(mk_real_type(), Real);
env->add_var("i", Int);
expr i = Const("i");
lean_assert_eq(mk_int_type(), Int);
}
static void tst1() {
environment env;
init_test_frontend(env);
expr e = mk_int_value(mpz(10));
lean_assert(is_int_value(e));
lean_assert(type_check(e, env) == Int);
std::cout << "e: " << e << "\n";
}
static void tst2() {
environment env;
init_test_frontend(env);
expr e = mk_Int_add(iVal(10), iVal(30));
std::cout << e << "\n";
std::cout << normalize(e, env) << "\n";
std::cout << type_check(mk_Int_add_fn(), env) << "\n";
lean_assert(type_check(e, env) == Int);
lean_assert(type_check(mk_app(mk_Int_add_fn(), iVal(10)), env) == (Int >> Int));
expr e2 = Fun("a", Int, mk_Int_add(Const("a"), mk_Int_add(iVal(10), iVal(30))));
std::cout << e2 << " --> " << normalize(e2, env) << "\n";
lean_assert(type_check(e2, env) == mk_arrow(Int, Int));
}
static void tst3() {
environment env;
init_test_frontend(env);
expr e = mk_Int_mul(iVal(10), iVal(30));
std::cout << e << "\n";
std::cout << normalize(e, env) << "\n";
std::cout << type_check(mk_Int_mul_fn(), env) << "\n";
lean_assert(type_check(e, env) == Int);
lean_assert(type_check(mk_app(mk_Int_mul_fn(), iVal(10)), env) == mk_arrow(Int, Int));
expr e2 = Fun("a", Int, mk_Int_mul(Const("a"), mk_Int_mul(iVal(10), iVal(30))));
std::cout << e2 << " --> " << normalize(e2, env) << "\n";
lean_assert(type_check(e2, env) == (Int >> Int));
}
static void tst4() {
environment env;
init_test_frontend(env);
expr e = mk_Int_sub(iVal(10), iVal(30));
std::cout << e << "\n";
std::cout << normalize(e, env) << "\n";
std::cout << type_check(mk_Int_sub_fn(), env) << "\n";
lean_assert(type_check(e, env) == Int);
lean_assert(type_check(mk_app(mk_Int_sub_fn(), iVal(10)), env) == mk_arrow(Int, Int));
expr e2 = Fun("a", Int, mk_Int_sub(Const("a"), mk_Int_sub(iVal(10), iVal(30))));
std::cout << e2 << " --> " << normalize(e2, env) << "\n";
lean_assert(type_check(e2, env) == (Int >> Int));
}
static void tst5() {
environment env;
init_test_frontend(env);
env->add_var(name("a"), Int);
expr e = mk_eq(Int, iVal(3), iVal(4));
std::cout << e << " --> " << normalize(e, env) << "\n";
}
static void tst6() {
std::cout << "tst6\n";
std::cout << mk_Int_add_fn().raw() << "\n";
std::cout << mk_Int_add_fn().raw() << "\n";
#ifndef __APPLE__
thread t1([](){ save_stack_info(); std::cout << "t1: " << mk_Int_add_fn().raw() << "\n"; });
t1.join();
thread t2([](){ save_stack_info(); std::cout << "t2: " << mk_Int_add_fn().raw() << "\n"; });
t2.join();
#endif
std::cout << mk_Int_add_fn().raw() << "\n";
}
int main() {
save_stack_info();
register_modules();
tst0();
tst1();
tst2();
tst3();
tst4();
tst5();
tst6();
return has_violations() ? 1 : 0;
}