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/*******************************************************************\
Module: Unit tests for variable/sensitivity/abstract_object::merge
Author: DiffBlue Limited
\*******************************************************************/
#include <testing-utils/use_catch.h>
#include <util/arith_tools.h>
#include <util/bitvector_types.h>
#include <util/interval.h>
#include <util/namespace.h>
#include <util/symbol_table.h>
#define V(X) (bvrep2integer(X.get(ID_value).c_str(), 32, true))
#define V_(X) (bvrep2integer(X.c_str(), 32, true))
#define CEV(X) (from_integer(mp_integer(X), signedbv_typet(32)))
SCENARIO("multiply interval domain", "[core][analyses][interval][multiply]")
{
GIVEN("A selection of constant_exprts in a std::vector and map")
{
symbol_tablet symbol_table;
namespacet ns(symbol_table);
WHEN("Single element multiplication")
{
constant_interval_exprt a = constant_interval_exprt::singleton(CEV(5));
constant_interval_exprt b = constant_interval_exprt::singleton(CEV(10));
const auto a_times_b = a.multiply(b);
REQUIRE(a_times_b == constant_interval_exprt(CEV(50), CEV(50)));
}
WHEN("Both are positive [2,5]*[7,11]")
{
constant_interval_exprt a(CEV(2), CEV(5));
constant_interval_exprt b(CEV(7), CEV(11));
constant_interval_exprt result = constant_interval_exprt::multiply(a, b);
THEN("Domain is consistent")
{
CHECK(V(a.get_lower()) == 2);
CHECK(V(a.get_upper()) == 5);
CHECK(V(b.get_lower()) == 7);
CHECK(V(b.get_upper()) == 11);
}
CAPTURE(result);
THEN("The result is [14, 55]")
{
CHECK(V(result.get_lower()) == 14);
CHECK(V(result.get_upper()) == 55);
}
}
WHEN("One is entirely negative [-2,-5]*[7,11]")
{
constant_interval_exprt a(CEV(-5), CEV(-2));
constant_interval_exprt b(CEV(7), CEV(11));
constant_interval_exprt result = constant_interval_exprt::multiply(a, b);
THEN("Domain is consistent")
{
CHECK(V(a.get_lower()) == -5);
CHECK(V(a.get_upper()) == -2);
CHECK(V(b.get_lower()) == 7);
CHECK(V(b.get_upper()) == 11);
}
CAPTURE(result);
THEN("The result is [-55, -14]")
{
CHECK(V(result.get_lower()) == mp_integer(-55));
CHECK(V(result.get_upper()) == -14);
}
}
WHEN("Range contains and extends from zero [-2,5]*[7,11]")
{
constant_interval_exprt a(CEV(-2), CEV(5));
constant_interval_exprt b(CEV(7), CEV(11));
constant_interval_exprt result = constant_interval_exprt::multiply(a, b);
THEN("Domain is consistent")
{
CHECK(V(a.get_lower()) == -2);
CHECK(V(a.get_upper()) == 5);
CHECK(V(b.get_lower()) == 7);
CHECK(V(b.get_upper()) == 11);
}
CAPTURE(result);
THEN("The result is [-22, 55]")
{
CHECK(V(result.get_lower()) == mp_integer(-22));
CHECK(V(result.get_upper()) == 55);
}
}
WHEN("One domain is infinite and other crosses zero [-2,5]*[7,INF]")
{
constant_interval_exprt a(CEV(-2), CEV(5));
constant_interval_exprt b(CEV(7), max_value_exprt(signedbv_typet(32)));
constant_interval_exprt result = constant_interval_exprt::multiply(a, b);
THEN("Domain is consistent")
{
CHECK(V(a.get_lower()) == -2);
CHECK(V(a.get_upper()) == 5);
CHECK(V(b.get_lower()) == 7);
CHECK(b.has_no_upper_bound());
}
CAPTURE(result);
THEN("The result is [-INF, INF]")
{
CHECK(result.has_no_upper_bound());
CHECK(result.has_no_lower_bound());
}
}
WHEN("One domain is infinite and other is positive [2,5]*[7,INF]")
{
constant_interval_exprt a(CEV(2), CEV(5));
constant_interval_exprt b(CEV(7), max_value_exprt(signedbv_typet(32)));
constant_interval_exprt result = constant_interval_exprt::multiply(a, b);
THEN("Domain is consistent")
{
CHECK(V(a.get_lower()) == 2);
CHECK(V(a.get_upper()) == 5);
CHECK(V(b.get_lower()) == 7);
CHECK(b.has_no_upper_bound());
}
THEN("The result is [-INF, INF]")
{
CAPTURE(result);
CHECK(result.has_no_upper_bound());
CHECK(result.has_no_lower_bound());
}
}
}
}
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