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use crate::{abstr::Boolean, forward::TypedCmp, misc::BitvectorBound};
use super::DualInterval;
impl<B: BitvectorBound> TypedCmp for DualInterval<B> {
type Output = crate::abstr::Boolean;
fn ult(self, rhs: Self) -> Self::Output {
// use unsigned versions
let lhs = self.to_unsigned_interval();
let rhs = rhs.to_unsigned_interval();
// can be false if lhs can be greater or equal to rhs
// this is only possible if lhs max can be greater or equal to rhs min
let result_can_be_false = lhs.max() >= rhs.min();
// can be true if lhs can be lesser than rhs
// this is only possible if lhs min can be lesser than rhs max
let result_can_be_true = lhs.min() < rhs.max();
Boolean::from_bools(result_can_be_false, result_can_be_true)
}
fn ule(self, rhs: Self) -> Self::Output {
// use unsigned versions
let lhs = self.to_unsigned_interval();
let rhs = rhs.to_unsigned_interval();
// can be false if lhs can be greater than rhs
// this is only possible if lhs max can be greater to rhs min
let result_can_be_false = lhs.max() > rhs.min();
// can be true if lhs can be lesser or equal to rhs
// this is only possible if lhs min can be lesser or equal to rhs max
let result_can_be_true = lhs.min() <= rhs.max();
Boolean::from_bools(result_can_be_false, result_can_be_true)
}
fn slt(self, rhs: Self) -> Self::Output {
// use signed versions
let lhs = self.to_signed_interval();
let rhs = rhs.to_signed_interval();
// can be false if lhs can be greater or equal to rhs
// this is only possible if lhs max can be greater or equal to rhs min
let result_can_be_false = lhs.max() >= rhs.min();
// can be true if lhs can be lesser than rhs
// this is only possible if lhs min can be lesser than rhs max
let result_can_be_true = lhs.min() < rhs.max();
Boolean::from_bools(result_can_be_false, result_can_be_true)
}
fn sle(self, rhs: Self) -> Self::Output {
// use signed versions
let lhs = self.to_signed_interval();
let rhs = rhs.to_signed_interval();
// can be false if lhs can be greater than rhs
// this is only possible if lhs max can be greater to rhs min
let result_can_be_false = lhs.max() > rhs.min();
// can be true if lhs can be lesser or equal to rhs
// this is only possible if lhs min can be lesser or equal to rhs max
let result_can_be_true = lhs.min() <= rhs.max();
Boolean::from_bools(result_can_be_false, result_can_be_true)
}
}