C++: SimpleRangeAnalysis for *= by constant

This commit is contained in:
Jonas Jensen
2020-08-18 14:17:42 +02:00
parent b6b72729f6
commit b316644ac2
4 changed files with 108 additions and 10 deletions

View File

@@ -217,8 +217,29 @@ private predicate multipliesByNegative(Expr expr, Expr operand, float negative)
negative = -1.0
}
private class AssignMulByConstantExpr extends AssignMulExpr {
float constant;
AssignMulByConstantExpr() { constant = this.getRValue().getFullyConverted().getValue().toFloat() }
float getConstant() { result = constant }
}
private class AssignMulByPositiveConstantExpr extends AssignMulByConstantExpr {
AssignMulByPositiveConstantExpr() { constant >= 0.0 }
}
private class AssignMulByNegativeConstantExpr extends AssignMulByConstantExpr {
AssignMulByNegativeConstantExpr() { constant < 0.0 }
}
private class UnsignedAssignMulExpr extends AssignMulExpr {
UnsignedAssignMulExpr() { this.getType().(IntegralType).isUnsigned() }
UnsignedAssignMulExpr() {
this.getType().(IntegralType).isUnsigned() and
// Avoid overlap. It should be slightly cheaper to analyze
// `AssignMulByConstantExpr`.
not this instanceof AssignMulByConstantExpr
}
}
/** Set of expressions which we know how to analyze. */
@@ -253,6 +274,8 @@ private predicate analyzableExpr(Expr e) {
or
e instanceof UnsignedAssignMulExpr
or
e instanceof AssignMulByConstantExpr
or
e instanceof CrementOperation
or
e instanceof RemExpr
@@ -310,6 +333,12 @@ private predicate defDependsOnDef(
exprDependsOnDef(assignMul.getAnOperand(), srcDef, srcVar)
)
or
exists(AssignMulByConstantExpr assignMul |
def = assignMul and
def.getAVariable() = v and
exprDependsOnDef(assignMul.getLValue(), srcDef, srcVar)
)
or
exists(CrementOperation crem |
def = crem and
def.getAVariable() = v and
@@ -365,6 +394,10 @@ private predicate exprDependsOnDef(Expr e, RangeSsaDefinition srcDef, StackVaria
exprDependsOnDef(mulExpr.getAnOperand(), srcDef, srcVar)
)
or
exists(AssignMulByConstantExpr mulExpr | e = mulExpr |
exprDependsOnDef(mulExpr.getLValue(), srcDef, srcVar)
)
or
exists(CrementOperation crementExpr | e = crementExpr |
exprDependsOnDef(crementExpr.getOperand(), srcDef, srcVar)
)
@@ -736,6 +769,18 @@ private float getLowerBoundsImpl(Expr expr) {
result = xLow * yLow
)
or
exists(AssignMulByPositiveConstantExpr mulExpr, float xLow |
expr = mulExpr and
xLow = getFullyConvertedLowerBounds(mulExpr.getLValue()) and
result = xLow * mulExpr.getConstant()
)
or
exists(AssignMulByNegativeConstantExpr mulExpr, float xHigh |
expr = mulExpr and
xHigh = getFullyConvertedUpperBounds(mulExpr.getLValue()) and
result = xHigh * mulExpr.getConstant()
)
or
exists(PrefixIncrExpr incrExpr, float xLow |
expr = incrExpr and
xLow = getFullyConvertedLowerBounds(incrExpr.getOperand()) and
@@ -910,6 +955,18 @@ private float getUpperBoundsImpl(Expr expr) {
result = xHigh * yHigh
)
or
exists(AssignMulByPositiveConstantExpr mulExpr, float xHigh |
expr = mulExpr and
xHigh = getFullyConvertedUpperBounds(mulExpr.getLValue()) and
result = xHigh * mulExpr.getConstant()
)
or
exists(AssignMulByNegativeConstantExpr mulExpr, float xLow |
expr = mulExpr and
xLow = getFullyConvertedLowerBounds(mulExpr.getLValue()) and
result = xLow * mulExpr.getConstant()
)
or
exists(PrefixIncrExpr incrExpr, float xHigh |
expr = incrExpr and
xHigh = getFullyConvertedUpperBounds(incrExpr.getOperand()) and
@@ -1136,6 +1193,20 @@ private float getDefLowerBoundsImpl(RangeSsaDefinition def, StackVariable v) {
result = lhsLB * rhsLB
)
or
exists(AssignMulByPositiveConstantExpr assignMul, RangeSsaDefinition nextDef, float lhsLB |
def = assignMul and
assignMul.getLValue() = nextDef.getAUse(v) and
lhsLB = getDefLowerBounds(nextDef, v) and
result = lhsLB * assignMul.getConstant()
)
or
exists(AssignMulByNegativeConstantExpr assignMul, RangeSsaDefinition nextDef, float lhsUB |
def = assignMul and
assignMul.getLValue() = nextDef.getAUse(v) and
lhsUB = getDefUpperBounds(nextDef, v) and
result = lhsUB * assignMul.getConstant()
)
or
exists(IncrementOperation incr, float newLB |
def = incr and
incr.getOperand() = v.getAnAccess() and
@@ -1186,6 +1257,20 @@ private float getDefUpperBoundsImpl(RangeSsaDefinition def, StackVariable v) {
result = lhsUB * rhsUB
)
or
exists(AssignMulByPositiveConstantExpr assignMul, RangeSsaDefinition nextDef, float lhsUB |
def = assignMul and
assignMul.getLValue() = nextDef.getAUse(v) and
lhsUB = getDefUpperBounds(nextDef, v) and
result = lhsUB * assignMul.getConstant()
)
or
exists(AssignMulByNegativeConstantExpr assignMul, RangeSsaDefinition nextDef, float lhsLB |
def = assignMul and
assignMul.getLValue() = nextDef.getAUse(v) and
lhsLB = getDefLowerBounds(nextDef, v) and
result = lhsLB * assignMul.getConstant()
)
or
exists(IncrementOperation incr, float newUB |
def = incr and
incr.getOperand() = v.getAnAccess() and

View File

@@ -519,9 +519,9 @@
| test.c:513:9:513:9 | i | -5 |
| test.c:514:9:514:9 | i | -30 |
| test.c:516:5:516:5 | i | -30 |
| test.c:517:9:517:9 | i | -2147483648 |
| test.c:519:5:519:5 | i | -2147483648 |
| test.c:520:9:520:9 | i | -2147483648 |
| test.c:517:9:517:9 | i | -210 |
| test.c:519:5:519:5 | i | -210 |
| test.c:520:9:520:9 | i | -1155 |
| test.c:522:7:522:7 | i | -2147483648 |
| test.c:523:5:523:5 | i | -2147483648 |
| test.c:523:9:523:9 | i | -1 |
@@ -529,6 +529,9 @@
| test.c:526:3:526:3 | i | -2147483648 |
| test.c:526:7:526:7 | i | -2147483648 |
| test.c:527:10:527:10 | i | -2147483648 |
| test.c:530:3:530:3 | i | -2147483648 |
| test.c:530:10:530:11 | sc | 1 |
| test.c:532:7:532:7 | i | -128 |
| test.cpp:10:7:10:7 | b | -2147483648 |
| test.cpp:11:5:11:5 | x | -2147483648 |
| test.cpp:13:10:13:10 | x | -2147483648 |

View File

@@ -514,15 +514,22 @@ int mul_by_constant(int i, int j) {
out(i); // -30 .. 15
i *= 7;
out(i); // -210 .. 105 [BUG: not supported]
out(i); // -210 .. 105
i *= -11;
out(i); // -1155 .. 2310 [BUG: not supported]
out(i); // -1155 .. 2310
}
if (i == -1) {
i = i * (int)0xffFFffFF; // fully converted literal is -1
out(i); // 1 .. 1
}
i = i * -1;
return i; // -2^31 .. 2^31-1
out( i); // -2^31 .. 2^31-1
signed char sc = 1;
i = (*&sc *= 2);
out(sc); // demonstrate that we couldn't analyze the LHS of the `*=` above...
out(i); // -128 .. 127 // ... but we can still bound its result by its type.
return 0;
}

View File

@@ -519,9 +519,9 @@
| test.c:513:9:513:9 | i | 10 |
| test.c:514:9:514:9 | i | 15 |
| test.c:516:5:516:5 | i | 15 |
| test.c:517:9:517:9 | i | 2147483647 |
| test.c:519:5:519:5 | i | 2147483647 |
| test.c:520:9:520:9 | i | 2147483647 |
| test.c:517:9:517:9 | i | 105 |
| test.c:519:5:519:5 | i | 105 |
| test.c:520:9:520:9 | i | 2310 |
| test.c:522:7:522:7 | i | 2147483647 |
| test.c:523:5:523:5 | i | 2147483647 |
| test.c:523:9:523:9 | i | -1 |
@@ -529,6 +529,9 @@
| test.c:526:3:526:3 | i | 2147483647 |
| test.c:526:7:526:7 | i | 2147483647 |
| test.c:527:10:527:10 | i | 2147483647 |
| test.c:530:3:530:3 | i | 2147483647 |
| test.c:530:10:530:11 | sc | 1 |
| test.c:532:7:532:7 | i | 127 |
| test.cpp:10:7:10:7 | b | 2147483647 |
| test.cpp:11:5:11:5 | x | 2147483647 |
| test.cpp:13:10:13:10 | x | 2147483647 |