87 lines
2.7 KiB
C++
87 lines
2.7 KiB
C++
/*
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Copyright (c) 2013 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 "util/test.h"
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#include "util/init_module.h"
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#include "util/sexpr/init_module.h"
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#include "kernel/free_vars.h"
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#include "kernel/abstract.h"
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#include "kernel/init_module.h"
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using namespace lean;
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static void tst1() {
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expr f = Const("f");
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expr a = Const("a");
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expr b = Const("b");
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expr x = Var(0);
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expr y = Var(1);
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expr t = Const("t");
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expr F = mk_lambda("_", t, mk_app(f, x));
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lean_assert(has_free_var(mk_lambda("_", t, mk_app(f, Var(1))), 0));
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lean_assert(!has_free_var(mk_lambda("_", t, mk_app(f, Var(0))), 1));
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lean_assert(!has_free_var(mk_pi("_", t, mk_lambda("_", t, mk_app(f, Var(1)))), 0));
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lean_assert(has_free_var(mk_app(f, Var(0)), 0));
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lean_assert(has_free_var(mk_app(f, Var(1)), 1));
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lean_assert(!has_free_var(mk_app(f, Var(1)), 0));
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lean_assert_eq(lower_free_vars(mk_app(f, Var(1)), 1), mk_app(f, Var(0)));
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lean_assert_eq(lower_free_vars(mk_lambda("_", t, mk_app(f, Var(2))), 1), mk_lambda("_", t, mk_app(f, Var(1))));
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lean_assert_eq(lower_free_vars(mk_lambda("_", t, mk_app(f, Var(0))), 1), mk_lambda("_", t, mk_app(f, Var(0))));
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}
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static void tst2() {
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expr f = Const("f");
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expr B = Const("Prop");
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expr x = Local("x", B);
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expr y = Local("y", B);
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expr t = Fun({x, y}, x);
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lean_assert(closed(t));
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lean_assert(!closed(binding_body(t)));
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}
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static void tst3() {
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unsigned n = 20000;
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unsigned m = 10;
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expr f = Const("f");
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expr a = Const("a");
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expr r = mk_app(f, a, Var(m));
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expr b = Const("Prop");
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for (unsigned i = 0; i < n; i++)
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r = mk_lambda(name(), b, r);
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lean_assert(closed(r));
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bool flag = true;
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while (is_lambda(r)) {
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flag = flag && closed(r);
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r = binding_body(r);
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}
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}
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static void tst4() {
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expr f = Const("f");
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expr B = mk_Prop();
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expr x = Local("x", B);
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expr y = Local("y", B);
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expr t = mk_app(f, mk_app(Fun({x, y}, mk_app(f, x, y)), mk_app(f, Var(1), Var(2))), x);
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lean_assert_eq(lift_free_vars(t, 1, 2),
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mk_app(f, mk_app(Fun(x, Fun(y, mk_app(f, x, y))), mk_app(f, Var(3), Var(4))), x));
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lean_assert_eq(lift_free_vars(t, 0, 3),
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mk_app(f, mk_app(Fun(x, Fun(y, mk_app(f, x, y))), mk_app(f, Var(4), Var(5))), x));
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lean_assert_eq(lift_free_vars(t, 3, 2), t);
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}
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int main() {
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save_stack_info();
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initialize_util_module();
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initialize_sexpr_module();
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initialize_kernel_module();
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tst1();
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tst2();
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tst3();
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tst4();
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finalize_kernel_module();
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finalize_sexpr_module();
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finalize_util_module();
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return has_violations() ? 1 : 0;
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}
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