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/*******************************************************************\
Module: Unit tests for value_set_abstract_objectt::merge
Author: Jez Higgins.
\*******************************************************************/
#include <util/arith_tools.h>
#include <util/bitvector_types.h>
#include <util/namespace.h>
#include <util/symbol_table.h>
#include <analyses/variable-sensitivity/abstract_environment.h>
#include <analyses/variable-sensitivity/variable_sensitivity_object_factory.h>
// NOLINTNEXTLINE(whitespace/line_length)
#include <analyses/variable-sensitivity/interval_abstract_value.h> // IWYU pragma: keep
// NOLINTNEXTLINE(whitespace/line_length)
#include <analyses/variable-sensitivity/value_set_abstract_object.h> // IWYU pragma: keep
#include <analyses/variable-sensitivity/variable_sensitivity_test_helpers.h>
#include <testing-utils/use_catch.h>
static merge_result<const value_set_abstract_objectt>
widening_merge(abstract_object_pointert op1, abstract_object_pointert op2)
{
auto result = abstract_objectt::merge(op1, op2, widen_modet::could_widen);
return {result.modified, as_value_set(result.object)};
}
SCENARIO(
"widening merge value_set_abstract_object",
"[core][analyses][variable-sensitivity][value_set_abstract_object][merge]")
{
auto type = signedbv_typet(32);
auto val0 = from_integer(0, type);
auto val1 = from_integer(1, type);
auto val2 = from_integer(2, type);
auto val3 = from_integer(3, type);
auto val4 = from_integer(4, type);
auto val5 = from_integer(5, type);
auto val6 = from_integer(6, type);
auto val7 = from_integer(7, type);
auto val8 = from_integer(8, type);
auto val9 = from_integer(9, type);
auto val10 = from_integer(10, type);
auto val11 = from_integer(11, type);
auto val12 = from_integer(12, type);
auto val13 = from_integer(13, type);
auto val1minus = from_integer(-1, type);
auto val2minus = from_integer(-2, type);
auto val3minus = from_integer(-3, type);
auto val4minus = from_integer(-4, type);
auto val5minus = from_integer(-5, type);
auto val8minus = from_integer(-8, type);
auto val10minus = from_integer(-10, type);
auto valMax = max_value_exprt(type);
auto valMin = min_value_exprt(type);
auto veryLarge = from_integer(2 << 29, type);
auto veryLargeMinus = from_integer(-(2 << 29), type);
auto config = vsd_configt::constant_domain();
config.context_tracking.data_dependency_context = false;
config.context_tracking.last_write_context = false;
auto object_factory =
variable_sensitivity_object_factoryt::configured_with(config);
abstract_environmentt environment{object_factory};
environment.make_top();
symbol_tablet symbol_table;
namespacet ns(symbol_table);
GIVEN("value_set merges which don't widen")
{
WHEN("merging {1, 2} with {1, 2}")
{
auto op1 = make_value_set({val1, val2}, environment, ns);
auto op2 = make_value_set({val1, val2}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("result is unmodified {1, 2}")
{
EXPECT_UNMODIFIED(merged, {val1, val2});
}
}
WHEN("merging {1, 5} with {2, 3}")
{
auto op1 = make_value_set({val1, val5}, environment, ns);
auto op2 = make_value_set({val2, val3}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("result is unmodified {1, 2, 3, 5}")
{
EXPECT_MODIFIED(merged, {val1, val2, val3, val5});
}
}
WHEN("merging { 1, 4, 7, 10, 13 } with { 2, 3, 5, 6, 8, 9, 11, 12 }")
{
auto op1 =
make_value_set({val1, val4, val7, val10, val13}, environment, ns);
auto op2 = make_value_set(
{val2, val3, val5, val6, val8, val9, val11, val12}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("result is compacted but not widened { [1, 5], 6, 7, 8, [9, 13]")
{
auto interval_1_5 = constant_interval_exprt(val1, val5);
auto interval_9_13 = constant_interval_exprt(val9, val13);
EXPECT_MODIFIED(
merged, {interval_1_5, val6, val7, val8, interval_9_13});
}
}
}
GIVEN("widening merges with TOP or BOTTOM")
{
WHEN("merging {1, 2} with TOP")
{
auto op1 = make_value_set({val1, val2}, environment, ns);
auto top2 = make_top_value_set();
auto merged = widening_merge(op1, top2);
THEN("result is modified TOP")
{
EXPECT_MODIFIED_TOP(merged);
}
}
WHEN("merging {1, 2} with BOTTOM")
{
auto op1 = make_value_set({val1, val2}, environment, ns);
auto bottom2 = make_bottom_value_set();
auto merged = widening_merge(op1, bottom2);
THEN("result is unmodified {1, 2}")
{
EXPECT_UNMODIFIED(merged, {val1, val2});
}
}
WHEN("merging TOP with {1, 2}")
{
auto top1 = make_top_value_set();
auto op2 = make_value_set({val1, val2}, environment, ns);
auto merged = widening_merge(top1, op2);
THEN("result is unmodified TOP")
{
EXPECT_UNMODIFIED_TOP(merged);
}
}
WHEN("merging BOTTOM with {1, 2}")
{
auto bottom1 = make_bottom_value_set();
auto op2 = make_value_set({val1, val2}, environment, ns);
auto merged = widening_merge(bottom1, op2);
THEN("result is modified {1, 2}")
{
EXPECT_MODIFIED(merged, {val1, val2});
}
}
WHEN("merging TOP with TOP")
{
auto top1 = make_top_value_set();
auto top2 = make_top_value_set();
auto merged = widening_merge(top1, top2);
THEN("result is unmodified TOP")
{
EXPECT_UNMODIFIED_TOP(merged);
}
}
WHEN("merging TOP with BOTTOM")
{
auto top1 = make_top_value_set();
auto bottom2 = make_bottom_value_set();
auto merged = widening_merge(top1, bottom2);
THEN("result is unmodified TOP")
{
EXPECT_UNMODIFIED_TOP(merged);
}
}
WHEN("merging BOTTOM with TOP")
{
auto bottom1 = make_bottom_value_set();
auto top2 = make_top_value_set();
auto merged = widening_merge(bottom1, top2);
THEN("result is modified TOP")
{
EXPECT_MODIFIED_TOP(merged);
}
}
WHEN("merging BOTTOM with BOTTOM")
{
auto bottom1 = make_bottom_value_set();
auto bottom2 = make_bottom_value_set();
auto merged = widening_merge(bottom1, bottom2);
THEN("result is unmodified BOTTOM")
{
EXPECT_UNMODIFIED_BOTTOM(merged);
}
}
}
GIVEN("value_set merges which do widen")
{
WHEN("merging {1, 3} with {2, 4}")
{
auto op1 = make_value_set({val1, val3}, environment, ns);
auto op2 = make_value_set({val2, val4}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen upper bound - {1, 2, 3, [4, 8]}")
{
auto interval_4_8 = constant_interval_exprt(val4, val8);
EXPECT_MODIFIED(merged, {val1, val2, val3, interval_4_8});
}
}
WHEN("merging {2, 4} with {1, 3}")
{
auto op1 = make_value_set({val2, val4}, environment, ns);
auto op2 = make_value_set({val1, val3}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen lower bound - {[-3, 1], 2, 3, 4}")
{
auto interval_3minus_1 =
constant_interval_exprt(from_integer(-3, type), val1);
EXPECT_MODIFIED(merged, {val2, val3, val4, interval_3minus_1});
}
}
WHEN("merging {1, 2} with {4, 5}")
{
auto op1 = make_value_set({val1, val2}, environment, ns);
auto op2 = make_value_set({val4, val5}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen upper bound - {1, 2, 4, [5, 10]")
{
auto interval_5_10 = constant_interval_exprt(val5, val10);
EXPECT_MODIFIED(merged, {val1, val2, val4, interval_5_10});
}
}
WHEN("merging {4, 5} with {1, 2}")
{
auto op1 = make_value_set({val4, val5}, environment, ns);
auto op2 = make_value_set({val1, val2}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen lower bound - {[-4, 1], 2, 4, 5}")
{
auto interval_4minus_1 =
constant_interval_exprt(from_integer(-4, type), val1);
EXPECT_MODIFIED(merged, {interval_4minus_1, val2, val4, val4});
}
}
WHEN("merging {[1, 3]} with {2, 4}")
{
auto interval_1_3 = constant_interval_exprt(val1, val3);
auto op1 = make_value_set(interval_1_3, environment, ns);
auto op2 = make_value_set({val2, val4}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen upper-bound, {[1, 3], 2 [4, 8]}")
{
auto interval_4_8 = constant_interval_exprt(val4, val8);
EXPECT_MODIFIED(merged, {interval_1_3, val2, interval_4_8});
}
}
WHEN("merging {[1, 3]} with {[2, 4]}")
{
auto interval_1_3 = constant_interval_exprt(val1, val3);
auto interval_2_4 = constant_interval_exprt(val2, val4);
auto op1 = make_value_set(interval_1_3, environment, ns);
auto op2 = make_value_set(interval_2_4, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen upper-bound, {[1, 3], [2, 8]}")
{
auto interval_2_8 = constant_interval_exprt(val2, val8);
EXPECT_MODIFIED(merged, {interval_1_3, interval_2_8});
}
}
WHEN("merging {[2, 4]} with {1, 3}")
{
auto interval_2_4 = constant_interval_exprt(val2, val4);
auto op1 = make_value_set(interval_2_4, environment, ns);
auto op2 = make_value_set({val1, val3}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen lower bound - {[-3, 1], 3, [2, 4]}")
{
auto interval_3minus_1 =
constant_interval_exprt(from_integer(-3, type), val1);
EXPECT_MODIFIED(merged, {interval_2_4, val3, interval_3minus_1});
}
}
WHEN("merging {[2, 4]} with {[1, 3]}")
{
auto interval_2_4 = constant_interval_exprt(val2, val4);
auto interval_1_3 = constant_interval_exprt(val1, val3);
auto op1 = make_value_set(interval_2_4, environment, ns);
auto op2 = make_value_set(interval_1_3, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen lower bound - {[-3, 3], [2, 4]}")
{
auto interval_3minus_3 =
constant_interval_exprt(from_integer(-3, type), val3);
EXPECT_MODIFIED(merged, {interval_3minus_3, interval_2_4});
}
}
WHEN("merging {-3, -1} with {-4, -2}")
{
auto op1 = make_value_set({val3minus, val1minus}, environment, ns);
auto op2 = make_value_set({val4minus, val2minus}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen lower bound - {[-8, -4], -3, -2, -1}")
{
EXPECT_MODIFIED(
merged,
{constant_interval_exprt(val8minus, val4minus),
val3minus,
val2minus,
val1minus});
}
}
WHEN("merging {[-3, -1]} with {[-4, -2]}")
{
auto interval31minus = constant_interval_exprt(val3minus, val1minus);
auto interval42minus = constant_interval_exprt(val4minus, val2minus);
auto op1 = make_value_set(interval31minus, environment, ns);
auto op2 = make_value_set(interval42minus, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen lower bound - {[-8, -2], [-3, -1]}")
{
EXPECT_MODIFIED(
merged,
{constant_interval_exprt(val8minus, val2minus), interval31minus});
}
}
WHEN("merging {-3, -1} with {[-4, -2]}")
{
auto interval42minus = constant_interval_exprt(val4minus, val2minus);
auto op1 = make_value_set({val3minus, val1minus}, environment, ns);
auto op2 = make_value_set(interval42minus, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen lower bound - {[-8, -2], -1}")
{
EXPECT_MODIFIED(
merged, {constant_interval_exprt(val8minus, val2minus), val1minus});
}
}
WHEN("merging {[-3, -1]} with {-4, -2}")
{
auto interval31minus = constant_interval_exprt(val3minus, val1minus);
auto op1 = make_value_set(interval31minus, environment, ns);
auto op2 = make_value_set({val4minus, val2minus}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("widen lower bound - {[-8, -4], [-3, -1], -2}")
{
EXPECT_MODIFIED(
merged,
{constant_interval_exprt(val8minus, val4minus),
interval31minus,
val2minus});
}
}
WHEN("merging {0, very_large} with {-very_large, 0}")
{
auto op1 = make_value_set({val0, veryLarge}, environment, ns);
auto op2 = make_value_set({veryLargeMinus, val0}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("result is {[MIN, -very_large], 0, very_large]")
{
EXPECT_MODIFIED(
merged,
{constant_interval_exprt(valMin, veryLargeMinus), val0, veryLarge});
}
}
WHEN("merging {-very_large, 0} with {0, very_large}")
{
auto op1 = make_value_set({veryLargeMinus, val0}, environment, ns);
auto op2 = make_value_set({val0, veryLarge}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("result is {-very_large, 0, [very_large, MAX]}")
{
EXPECT_MODIFIED(
merged,
{veryLargeMinus, val0, constant_interval_exprt(veryLarge, valMax)});
}
}
WHEN("merging {-very_large, very_large } with {0, 1}")
{
auto op1 = make_value_set({veryLargeMinus, veryLarge}, environment, ns);
auto op2 = make_value_set({val0, val1}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("result is {-very_large, val0, val1, very_large}")
{
EXPECT_MODIFIED(merged, {veryLargeMinus, val0, val1, veryLarge});
}
}
WHEN("merging {0, 1} with {-very_large, very_large}")
{
auto op1 = make_value_set({val0, val1}, environment, ns);
auto op2 = make_value_set({veryLargeMinus, veryLarge}, environment, ns);
auto merged = widening_merge(op1, op2);
THEN("result is {[MIN, 0}, [1, MAX]}")
{
EXPECT_MODIFIED(
merged,
{constant_interval_exprt(valMin, veryLargeMinus),
val0,
val1,
constant_interval_exprt(veryLarge, valMax)});
}
}
}
}
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