lean2/src/tests/kernel/free_vars.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 "free_vars.h"
#include "abstract.h"
#include "test.h"
using namespace lean;
static void tst1() {
expr f = Const("f");
expr a = Const("a");
expr b = Const("b");
expr x = Var(0);
expr y = Var(1);
expr t = Const("t");
expr F = mk_lambda("_", t, f(x));
lean_assert(has_free_var(mk_lambda("_", t, f(Var(1))), 0));
lean_assert(!has_free_var(mk_lambda("_", t, f(Var(0))), 1));
lean_assert(!has_free_var(mk_pi("_", t, mk_lambda("_", t, f(Var(1)))), 0));
lean_assert(has_free_var(f(Var(0)), 0));
lean_assert(has_free_var(f(Var(1)), 1));
lean_assert(!has_free_var(f(Var(1)), 0));
lean_assert(has_free_var(f(Var(1)), 0, 2));
lean_assert(!has_free_var(f(Var(1)), 0, 1));
lean_assert(lower_free_vars(f(Var(1)), 1) == f(Var(0)));
lean_assert(lower_free_vars(mk_lambda("_", t, f(Var(2))), 1) == mk_lambda("_", t, f(Var(1))));
lean_assert(lower_free_vars(mk_lambda("_", t, f(Var(0))), 1) == mk_lambda("_", t, f(Var(0))));
}
static void tst2() {
expr f = Const("f");
expr x = Const("x");
expr y = Const("y");
expr B = Const("Bool");
expr t = Fun({x, B}, Fun({y, B}, x));
lean_assert(closed(t));
lean_assert(!closed(abst_body(t)));
}
static void tst3() {
unsigned n = 30000;
unsigned m = 10;
expr f = Const("f");
expr a = Const("a");
expr r = f(a, Var(m));
expr b = Const("Bool");
for (unsigned i = 0; i < n; i++)
r = mk_lambda(name(), b, r);
lean_assert(closed(r));
bool flag = true;
while (is_lambda(r)) {
flag = flag && closed(r);
r = abst_body(r);
}
}
int main() {
tst1();
tst2();
tst3();
return has_violations() ? 1 : 0;
}