Java: Refactor integerGuard.

This commit is contained in:
Anders Schack-Mulligen
2025-05-19 14:31:22 +02:00
parent a2778eee75
commit 0607fefc57

View File

@@ -32,6 +32,58 @@ class IntComparableExpr extends Expr {
}
}
/**
* Holds if `comp` evaluating to `branch` ensures that `e1` is less than `e2`.
* When `strict` is true, `e1` is strictly less than `e2`, otherwise it is less
* than or equal to `e2`.
*/
private predicate comparison(ComparisonExpr comp, boolean branch, Expr e1, Expr e2, boolean strict) {
branch = true and
e1 = comp.getLesserOperand() and
e2 = comp.getGreaterOperand() and
(if comp.isStrict() then strict = true else strict = false)
or
branch = false and
e1 = comp.getGreaterOperand() and
e2 = comp.getLesserOperand() and
(if comp.isStrict() then strict = false else strict = true)
}
/**
* Holds if `guard` evaluating to `branch` ensures that:
* `e <= k` when `upper = true`
* `e >= k` when `upper = false`
*/
pragma[nomagic]
predicate rangeGuard(Expr guard, boolean branch, Expr e, int k, boolean upper) {
exists(EqualityTest eqtest, Expr c |
eqtest = guard and
eqtest.hasOperands(e, c) and
bounded(c, any(ZeroBound zb), k, upper, _) and
branch = eqtest.polarity()
)
or
exists(Expr c, int val, boolean strict, int d |
bounded(c, any(ZeroBound zb), val, upper, _) and
(
upper = true and
comparison(guard, branch, e, c, strict) and
d = -1
or
upper = false and
comparison(guard, branch, c, e, strict) and
d = 1
) and
(
strict = false and k = val
or
// e < c <= val ==> e <= c - 1 <= val - 1
// e > c >= val ==> e >= c + 1 >= val + 1
strict = true and k = val + d
)
)
}
/**
* An expression that directly tests whether a given expression is equal to `k` or not.
* The set of `k`s is restricted to those that are relevant for the expression or
@@ -53,75 +105,14 @@ Expr integerGuard(IntComparableExpr e, boolean branch, int k, boolean is_k) {
)
)
or
exists(EqualityTest eqtest, int val, Expr c, boolean upper |
exists(int val, boolean upper |
rangeGuard(result, branch, e, val, upper) and
k = e.relevantInt() and
eqtest = result and
eqtest.hasOperands(e, c) and
bounded(c, any(ZeroBound zb), val, upper, _) and
is_k = false and
(
upper = true and val < k
or
upper = false and val > k
) and
branch = eqtest.polarity()
)
or
exists(ComparisonExpr comp, Expr c, int val, boolean upper |
k = e.relevantInt() and
comp = result and
comp.hasOperands(e, c) and
bounded(c, any(ZeroBound zb), val, upper, _) and
is_k = false
|
// k <= val <= c < e, so e != k
comp.getLesserOperand() = c and
comp.isStrict() and
branch = true and
val >= k and
upper = false
upper = true and val < k // e <= val < k ==> e != k
or
comp.getLesserOperand() = c and
comp.isStrict() and
branch = false and
val < k and
upper = true
or
comp.getLesserOperand() = c and
not comp.isStrict() and
branch = true and
val > k and
upper = false
or
comp.getLesserOperand() = c and
not comp.isStrict() and
branch = false and
val <= k and
upper = true
or
comp.getGreaterOperand() = c and
comp.isStrict() and
branch = true and
val <= k and
upper = true
or
comp.getGreaterOperand() = c and
comp.isStrict() and
branch = false and
val > k and
upper = false
or
comp.getGreaterOperand() = c and
not comp.isStrict() and
branch = true and
val < k and
upper = true
or
comp.getGreaterOperand() = c and
not comp.isStrict() and
branch = false and
val >= k and
upper = false
upper = false and val > k // e >= val > k ==> e != k
)
}