C++: Generalize more predicates from booleans to abstract values.

This commit is contained in:
Mathias Vorreiter Pedersen
2024-03-18 11:46:55 +00:00
parent 7429fa7b96
commit a21eea4ee0
2 changed files with 42 additions and 30 deletions

View File

@@ -446,7 +446,10 @@ class IRGuardCondition extends Instruction {
/** Holds if (determined by this guard) `left == right + k` evaluates to `areEqual` if this expression evaluates to `testIsTrue`. */
cached
predicate comparesEq(Operand left, Operand right, int k, boolean areEqual, boolean testIsTrue) {
compares_eq(this, left, right, k, areEqual, testIsTrue)
exists(BooleanValue value |
compares_eq(this, left, right, k, areEqual, value) and
value.getValue() = testIsTrue
)
}
/**
@@ -455,8 +458,8 @@ class IRGuardCondition extends Instruction {
*/
cached
predicate ensuresEq(Operand left, Operand right, int k, IRBlock block, boolean areEqual) {
exists(boolean testIsTrue |
compares_eq(this, left, right, k, areEqual, testIsTrue) and this.controls(block, testIsTrue)
exists(AbstractValue value |
compares_eq(this, left, right, k, areEqual, value) and this.valueControls(block, value)
)
}
@@ -468,9 +471,9 @@ class IRGuardCondition extends Instruction {
predicate ensuresEqEdge(
Operand left, Operand right, int k, IRBlock pred, IRBlock succ, boolean areEqual
) {
exists(boolean testIsTrue |
compares_eq(this, left, right, k, areEqual, testIsTrue) and
this.controlsEdge(pred, succ, testIsTrue)
exists(AbstractValue value |
compares_eq(this, left, right, k, areEqual, value) and
this.valueControlsEdge(pred, succ, value)
)
}
@@ -572,52 +575,52 @@ private Instruction getBranchForCondition(Instruction guard) {
* Beware making mistaken logical implications here relating `areEqual` and `testIsTrue`.
*/
private predicate compares_eq(
Instruction test, Operand left, Operand right, int k, boolean areEqual, boolean testIsTrue
Instruction test, Operand left, Operand right, int k, boolean areEqual, AbstractValue value
) {
/* The simple case where the test *is* the comparison so areEqual = testIsTrue xor eq. */
exists(boolean eq | simple_comparison_eq(test, left, right, k, eq) |
areEqual = true and testIsTrue = eq
exists(AbstractValue v | simple_comparison_eq(test, left, right, k, v) |
areEqual = true and value = v
or
areEqual = false and testIsTrue = eq.booleanNot()
areEqual = false and value = v.getDualValue()
)
or
// I think this is handled by forwarding in controlsBlock.
//or
//logical_comparison_eq(test, left, right, k, areEqual, testIsTrue)
/* a == b + k => b == a - k */
exists(int mk | k = -mk | compares_eq(test, right, left, mk, areEqual, testIsTrue))
exists(int mk | k = -mk | compares_eq(test, right, left, mk, areEqual, value))
or
complex_eq(test, left, right, k, areEqual, testIsTrue)
complex_eq(test, left, right, k, areEqual, value)
or
/* (x is true => (left == right + k)) => (!x is false => (left == right + k)) */
exists(boolean isFalse | testIsTrue = isFalse.booleanNot() |
compares_eq(test.(LogicalNotInstruction).getUnary(), left, right, k, areEqual, isFalse)
exists(AbstractValue dual | value = dual.getDualValue() |
compares_eq(test.(LogicalNotInstruction).getUnary(), left, right, k, areEqual, dual)
)
}
/** Rearrange various simple comparisons into `left == right + k` form. */
private predicate simple_comparison_eq(
CompareInstruction cmp, Operand left, Operand right, int k, boolean areEqual
CompareInstruction cmp, Operand left, Operand right, int k, AbstractValue value
) {
left = cmp.getLeftOperand() and
cmp instanceof CompareEQInstruction and
right = cmp.getRightOperand() and
k = 0 and
areEqual = true
value.(BooleanValue).getValue() = true
or
left = cmp.getLeftOperand() and
cmp instanceof CompareNEInstruction and
right = cmp.getRightOperand() and
k = 0 and
areEqual = false
value.(BooleanValue).getValue() = false
}
private predicate complex_eq(
CompareInstruction cmp, Operand left, Operand right, int k, boolean areEqual, boolean testIsTrue
CompareInstruction cmp, Operand left, Operand right, int k, boolean areEqual, AbstractValue value
) {
sub_eq(cmp, left, right, k, areEqual, testIsTrue)
sub_eq(cmp, left, right, k, areEqual, value)
or
add_eq(cmp, left, right, k, areEqual, testIsTrue)
add_eq(cmp, left, right, k, areEqual, value)
}
/*
@@ -768,31 +771,31 @@ private predicate add_lt(
// left - x == right + c => left == right + (c+x)
// left == (right - x) + c => left == right + (c-x)
private predicate sub_eq(
CompareInstruction cmp, Operand left, Operand right, int k, boolean areEqual, boolean testIsTrue
CompareInstruction cmp, Operand left, Operand right, int k, boolean areEqual, AbstractValue value
) {
exists(SubInstruction lhs, int c, int x |
compares_eq(cmp, lhs.getAUse(), right, c, areEqual, testIsTrue) and
compares_eq(cmp, lhs.getAUse(), right, c, areEqual, value) and
left = lhs.getLeftOperand() and
x = int_value(lhs.getRight()) and
k = c + x
)
or
exists(SubInstruction rhs, int c, int x |
compares_eq(cmp, left, rhs.getAUse(), c, areEqual, testIsTrue) and
compares_eq(cmp, left, rhs.getAUse(), c, areEqual, value) and
right = rhs.getLeftOperand() and
x = int_value(rhs.getRight()) and
k = c - x
)
or
exists(PointerSubInstruction lhs, int c, int x |
compares_eq(cmp, lhs.getAUse(), right, c, areEqual, testIsTrue) and
compares_eq(cmp, lhs.getAUse(), right, c, areEqual, value) and
left = lhs.getLeftOperand() and
x = int_value(lhs.getRight()) and
k = c + x
)
or
exists(PointerSubInstruction rhs, int c, int x |
compares_eq(cmp, left, rhs.getAUse(), c, areEqual, testIsTrue) and
compares_eq(cmp, left, rhs.getAUse(), c, areEqual, value) and
right = rhs.getLeftOperand() and
x = int_value(rhs.getRight()) and
k = c - x
@@ -802,10 +805,10 @@ private predicate sub_eq(
// left + x == right + c => left == right + (c-x)
// left == (right + x) + c => left == right + (c+x)
private predicate add_eq(
CompareInstruction cmp, Operand left, Operand right, int k, boolean areEqual, boolean testIsTrue
CompareInstruction cmp, Operand left, Operand right, int k, boolean areEqual, AbstractValue value
) {
exists(AddInstruction lhs, int c, int x |
compares_eq(cmp, lhs.getAUse(), right, c, areEqual, testIsTrue) and
compares_eq(cmp, lhs.getAUse(), right, c, areEqual, value) and
(
left = lhs.getLeftOperand() and x = int_value(lhs.getRight())
or
@@ -815,7 +818,7 @@ private predicate add_eq(
)
or
exists(AddInstruction rhs, int c, int x |
compares_eq(cmp, left, rhs.getAUse(), c, areEqual, testIsTrue) and
compares_eq(cmp, left, rhs.getAUse(), c, areEqual, value) and
(
right = rhs.getLeftOperand() and x = int_value(rhs.getRight())
or
@@ -825,7 +828,7 @@ private predicate add_eq(
)
or
exists(PointerAddInstruction lhs, int c, int x |
compares_eq(cmp, lhs.getAUse(), right, c, areEqual, testIsTrue) and
compares_eq(cmp, lhs.getAUse(), right, c, areEqual, value) and
(
left = lhs.getLeftOperand() and x = int_value(lhs.getRight())
or
@@ -835,7 +838,7 @@ private predicate add_eq(
)
or
exists(PointerAddInstruction rhs, int c, int x |
compares_eq(cmp, left, rhs.getAUse(), c, areEqual, testIsTrue) and
compares_eq(cmp, left, rhs.getAUse(), c, areEqual, value) and
(
right = rhs.getLeftOperand() and x = int_value(rhs.getRight())
or

View File

@@ -90,6 +90,15 @@ class CaseEdge extends EdgeKind, TCaseEdge {
* Gets the largest value of the switch expression for which control will flow along this edge.
*/
final string getMaxValue() { result = maxValue }
/**
* Gets the unique value of the switch expression for which control will
* flow along this edge, if any.
*/
final string getValue() {
minValue = maxValue and
result = minValue
}
}
/**