in checker/src/abstract_value.rs [3574:3665]
fn less_than(&self, other: Rc<AbstractValue>) -> Rc<AbstractValue> {
// [x < c] -> c > x
if !self.is_compile_time_constant() && other.is_compile_time_constant() {
// Normalize binary expressions so that if only one of the operands is a constant, it is
// always the left operand.
return other.greater_than(self.clone());
}
if let Some(result) = self
.get_cached_interval()
.less_than(other.get_cached_interval().as_ref())
{
return Rc::new(result.into());
}
match (&self.expression, &other.expression) {
// [(c ? v1 : v2) < c3] -> c ? (v1 < c3) : (v2 < c3)
(
Expression::ConditionalExpression {
condition: c,
consequent: v1,
alternate: v2,
..
},
Expression::CompileTimeConstant(..),
) if !v1.is_top() && !v2.is_top() => {
return c.conditional_expression(
v1.less_than(other.clone()),
v2.less_than(other.clone()),
);
}
// [c3 < (c ? v1 : v2)] -> c ? (c3 < v1) : (c3 < v2 )
(
Expression::CompileTimeConstant(..),
Expression::ConditionalExpression {
condition: c,
consequent: v1,
alternate: v2,
..
},
) if !v1.is_top() && !v2.is_top() => {
return c.conditional_expression(
self.less_than(v1.clone()),
self.less_than(v2.clone()),
);
}
// [(c1 * x) < c2] -> x < c2 / c1
(Expression::Mul { left: c1, right: x }, _)
if c1.is_compile_time_constant()
&& other.is_compile_time_constant()
&& other.expression.infer_type().is_integer() =>
{
//todo: debug_checked_assume!(!c1.is_zero()); // otherwise constant folding would have reduced the Mul
return x.less_than(c1.divide(other.clone()));
}
// [c1 < (c2 * x)] -> x >= c1 / c2
(_, Expression::Mul { left: c2, right: x })
if self.is_compile_time_constant()
&& c2.is_compile_time_constant()
&& self.expression.infer_type().is_integer() =>
{
debug_checked_assume!(!c2.is_zero()); // otherwise constant folding would have reduced the Mul
return x.greater_or_equal(self.divide(c2.clone()));
}
// [(x & c1) < c2] -> true if c1 == c2 - 1 and c2 is a power of two
(
Expression::BitAnd {
left: _x,
right: c1,
},
Expression::CompileTimeConstant(ConstantDomain::U128(c2)),
) if c1.is_compile_time_constant() && c2.is_power_of_two() => {
if let Expression::CompileTimeConstant(ConstantDomain::U128(c1)) = &c1.expression {
if *c1 == *c2 - 1 {
return Rc::new(TRUE);
}
}
}
// [x < x] -> false
_ => {
if self.eq(&other) {
return Rc::new(FALSE);
}
}
}
self.try_to_constant_fold_and_distribute_binary_op(
other,
ConstantDomain::less_than,
Self::less_than,
|l, r| {
AbstractValue::make_binary(l, r, |left, right| Expression::LessThan { left, right })
},
)
}