|
|
|
|
@@ -75,6 +75,354 @@ private import semmle.code.java.Reflection
|
|
|
|
|
private import semmle.code.java.Collections
|
|
|
|
|
private import semmle.code.java.Maps
|
|
|
|
|
import Bound
|
|
|
|
|
private import codeql.rangeanalysis.RangeAnalysis
|
|
|
|
|
|
|
|
|
|
module Sem implements Semantic {
|
|
|
|
|
private import java as J
|
|
|
|
|
private import SSA as SSA
|
|
|
|
|
private import RangeUtils as RU
|
|
|
|
|
private import semmle.code.java.dataflow.internal.rangeanalysis.SsaReadPositionCommon as SSAReadPos
|
|
|
|
|
private import semmle.code.java.controlflow.internal.GuardsLogic as GL
|
|
|
|
|
|
|
|
|
|
class Expr = J::Expr;
|
|
|
|
|
|
|
|
|
|
class ConstantIntegerExpr = RU::ConstantIntegerExpr;
|
|
|
|
|
|
|
|
|
|
abstract class BinaryExpr extends Expr {
|
|
|
|
|
Expr getLeftOperand() {
|
|
|
|
|
result = this.(J::BinaryExpr).getLeftOperand() or result = this.(J::AssignOp).getDest()
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
Expr getRightOperand() {
|
|
|
|
|
result = this.(J::BinaryExpr).getRightOperand() or result = this.(J::AssignOp).getRhs()
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
final Expr getAnOperand() { result = this.getLeftOperand() or result = this.getRightOperand() }
|
|
|
|
|
|
|
|
|
|
final predicate hasOperands(Expr e1, Expr e2) {
|
|
|
|
|
this.getLeftOperand() = e1 and this.getRightOperand() = e2
|
|
|
|
|
or
|
|
|
|
|
this.getLeftOperand() = e2 and this.getRightOperand() = e1
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class AddExpr extends BinaryExpr {
|
|
|
|
|
AddExpr() { this instanceof J::AddExpr or this instanceof J::AssignAddExpr }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class SubExpr extends BinaryExpr {
|
|
|
|
|
SubExpr() { this instanceof J::SubExpr or this instanceof J::AssignSubExpr }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class MulExpr extends BinaryExpr {
|
|
|
|
|
MulExpr() { this instanceof J::MulExpr or this instanceof J::AssignMulExpr }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class DivExpr extends BinaryExpr {
|
|
|
|
|
DivExpr() { this instanceof J::DivExpr or this instanceof J::AssignDivExpr }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class RemExpr extends BinaryExpr {
|
|
|
|
|
RemExpr() { this instanceof J::RemExpr or this instanceof J::AssignRemExpr }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class BitAndExpr extends BinaryExpr {
|
|
|
|
|
BitAndExpr() { this instanceof J::AndBitwiseExpr or this instanceof J::AssignAndExpr }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class BitOrExpr extends BinaryExpr {
|
|
|
|
|
BitOrExpr() { this instanceof J::OrBitwiseExpr or this instanceof J::AssignOrExpr }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class ShiftLeftExpr extends BinaryExpr {
|
|
|
|
|
ShiftLeftExpr() { this instanceof J::LeftShiftExpr or this instanceof J::AssignLeftShiftExpr }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class ShiftRightExpr extends BinaryExpr {
|
|
|
|
|
ShiftRightExpr() {
|
|
|
|
|
this instanceof J::RightShiftExpr or this instanceof J::AssignRightShiftExpr
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class ShiftRightUnsignedExpr extends BinaryExpr {
|
|
|
|
|
ShiftRightUnsignedExpr() {
|
|
|
|
|
this instanceof J::UnsignedRightShiftExpr or this instanceof J::AssignUnsignedRightShiftExpr
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class RelationalExpr = J::ComparisonExpr;
|
|
|
|
|
|
|
|
|
|
abstract class UnaryExpr extends Expr {
|
|
|
|
|
abstract Expr getOperand();
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class ConvertExpr extends UnaryExpr instanceof CastingExpr {
|
|
|
|
|
override Expr getOperand() { result = super.getExpr() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class BoxExpr extends UnaryExpr {
|
|
|
|
|
BoxExpr() { none() }
|
|
|
|
|
|
|
|
|
|
override Expr getOperand() { none() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class UnboxExpr extends UnaryExpr {
|
|
|
|
|
UnboxExpr() { none() }
|
|
|
|
|
|
|
|
|
|
override Expr getOperand() { none() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class NegateExpr extends UnaryExpr instanceof MinusExpr {
|
|
|
|
|
override Expr getOperand() { result = super.getExpr() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// TODO: Implement once utils are properly shared
|
|
|
|
|
class AddOneExpr extends UnaryExpr {
|
|
|
|
|
AddOneExpr() { none() }
|
|
|
|
|
|
|
|
|
|
override Expr getOperand() { none() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// TODO: Implement once utils are properly shared
|
|
|
|
|
class SubOneExpr extends UnaryExpr {
|
|
|
|
|
SubOneExpr() { none() }
|
|
|
|
|
|
|
|
|
|
override Expr getOperand() { none() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class ConditionalExpr = J::ConditionalExpr;
|
|
|
|
|
|
|
|
|
|
class BasicBlock = J::BasicBlock;
|
|
|
|
|
|
|
|
|
|
class Guard extends GL::Guard {
|
|
|
|
|
Expr asExpr() { result = this }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
predicate implies_v2(Guard g1, boolean b1, Guard g2, boolean b2) {
|
|
|
|
|
GL::implies_v2(g1, b1, g2, b2)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
predicate guardDirectlyControlsSsaRead(Guard guard, SsaReadPosition controlled, boolean testIsTrue) {
|
|
|
|
|
RU::guardDirectlyControlsSsaRead(guard, controlled, testIsTrue)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class Type = J::Type;
|
|
|
|
|
|
|
|
|
|
class IntegerType extends J::IntegralType {
|
|
|
|
|
predicate isSigned() { not this instanceof CharacterType }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class FloatingPointType extends Type {
|
|
|
|
|
FloatingPointType() { none() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class AddressType extends Type {
|
|
|
|
|
AddressType() { none() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
final private class FinalSsaVariable = SSA::SsaVariable;
|
|
|
|
|
|
|
|
|
|
class SsaVariable extends FinalSsaVariable {
|
|
|
|
|
Expr getAUse() { result = super.getAUse() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class SsaPhiNode extends SsaVariable instanceof SSA::SsaPhiNode { }
|
|
|
|
|
|
|
|
|
|
class SsaExplicitUpdate extends SsaVariable instanceof SSA::SsaExplicitUpdate { }
|
|
|
|
|
|
|
|
|
|
final private class FinalSsaReadPosition = SSAReadPos::SsaReadPosition;
|
|
|
|
|
|
|
|
|
|
class SsaReadPosition extends FinalSsaReadPosition {
|
|
|
|
|
predicate hasReadOfVar(SsaVariable v) { super.hasReadOfVar(v) }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class SsaReadPositionPhiInputEdge extends SsaReadPosition instanceof SSAReadPos::SsaReadPositionPhiInputEdge
|
|
|
|
|
{
|
|
|
|
|
predicate phiInput(SsaPhiNode phi, SsaVariable inp) { super.phiInput(phi, inp) }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
class SsaReadPositionBlock extends SsaReadPosition instanceof SSAReadPos::SsaReadPositionBlock {
|
|
|
|
|
BasicBlock getBlock() { result = super.getBlock() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
predicate backEdge(SsaPhiNode phi, SsaVariable inp, SsaReadPositionPhiInputEdge edge) {
|
|
|
|
|
RU::backEdge(phi, inp, edge)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
predicate conversionCannotOverflow = safeCast/2;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
module SignInp implements SignAnalysisSig<Sem> {
|
|
|
|
|
private import SignAnalysis
|
|
|
|
|
private import internal.rangeanalysis.Sign
|
|
|
|
|
|
|
|
|
|
predicate semPositive = positive/1;
|
|
|
|
|
|
|
|
|
|
predicate semNegative = negative/1;
|
|
|
|
|
|
|
|
|
|
predicate semStrictlyPositive = strictlyPositive/1;
|
|
|
|
|
|
|
|
|
|
predicate semStrictlyNegative = strictlyNegative/1;
|
|
|
|
|
|
|
|
|
|
predicate semMayBePositive(Sem::Expr e) { exprSign(e) = TPos() }
|
|
|
|
|
|
|
|
|
|
predicate semMayBeNegative(Sem::Expr e) { exprSign(e) = TNeg() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
module Modulus implements ModulusAnalysisSig<Sem> {
|
|
|
|
|
class ModBound = Bound;
|
|
|
|
|
|
|
|
|
|
predicate semExprModulus = exprModulus/4;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
module IntDelta implements DeltaSig {
|
|
|
|
|
class Delta = int;
|
|
|
|
|
|
|
|
|
|
bindingset[d]
|
|
|
|
|
bindingset[result]
|
|
|
|
|
float toFloat(Delta d) { result = d }
|
|
|
|
|
|
|
|
|
|
bindingset[d]
|
|
|
|
|
bindingset[result]
|
|
|
|
|
int toInt(Delta d) { result = d }
|
|
|
|
|
|
|
|
|
|
bindingset[n]
|
|
|
|
|
bindingset[result]
|
|
|
|
|
Delta fromInt(int n) { result = n }
|
|
|
|
|
|
|
|
|
|
bindingset[f]
|
|
|
|
|
Delta fromFloat(float f) { result = f }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
module JavaLangImpl implements LangSig<Sem, IntDelta> {
|
|
|
|
|
predicate ignoreSsaReadCopy(Sem::Expr e) { none() }
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
|
* Holds if `e >= bound` (if `upper = false`) or `e <= bound` (if `upper = true`).
|
|
|
|
|
*/
|
|
|
|
|
predicate hasConstantBound(Sem::Expr e, int bound, boolean upper) {
|
|
|
|
|
(
|
|
|
|
|
e.(MethodCall).getMethod() instanceof StringLengthMethod or
|
|
|
|
|
e.(MethodCall).getMethod() instanceof CollectionSizeMethod or
|
|
|
|
|
e.(MethodCall).getMethod() instanceof MapSizeMethod or
|
|
|
|
|
e.(FieldRead).getField() instanceof ArrayLengthField
|
|
|
|
|
) and
|
|
|
|
|
bound = 0 and
|
|
|
|
|
upper = false
|
|
|
|
|
or
|
|
|
|
|
exists(Method read |
|
|
|
|
|
e.(MethodCall).getMethod().overrides*(read) and
|
|
|
|
|
read.getDeclaringType() instanceof TypeInputStream and
|
|
|
|
|
read.hasName("read") and
|
|
|
|
|
read.getNumberOfParameters() = 0
|
|
|
|
|
|
|
|
|
|
|
upper = true and bound = 255
|
|
|
|
|
or
|
|
|
|
|
upper = false and bound = -1
|
|
|
|
|
)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
|
* Holds if `e2 >= e1 + delta` (if `upper = false`) or `e2 <= e1 + delta` (if `upper = true`).
|
|
|
|
|
*/
|
|
|
|
|
predicate hasBound(Sem::Expr e2, Sem::Expr e1, int delta, boolean upper) {
|
|
|
|
|
exists(RandomDataSource rds |
|
|
|
|
|
e2 = rds.getOutput() and
|
|
|
|
|
(
|
|
|
|
|
e1 = rds.getUpperBoundExpr() and
|
|
|
|
|
delta = -1 and
|
|
|
|
|
upper = true
|
|
|
|
|
or
|
|
|
|
|
e1 = rds.getLowerBoundExpr() and
|
|
|
|
|
delta = 0 and
|
|
|
|
|
upper = false
|
|
|
|
|
)
|
|
|
|
|
)
|
|
|
|
|
or
|
|
|
|
|
exists(MethodCall ma, Method m |
|
|
|
|
|
e2 = ma and
|
|
|
|
|
ma.getMethod() = m and
|
|
|
|
|
(
|
|
|
|
|
m.hasName("max") and upper = false
|
|
|
|
|
or
|
|
|
|
|
m.hasName("min") and upper = true
|
|
|
|
|
) and
|
|
|
|
|
m.getDeclaringType().hasQualifiedName("java.lang", "Math") and
|
|
|
|
|
e1 = ma.getAnArgument() and
|
|
|
|
|
delta = 0
|
|
|
|
|
)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
predicate ignoreExprBound(Sem::Expr e) { none() }
|
|
|
|
|
|
|
|
|
|
predicate ignoreZeroLowerBound(Sem::Expr e) { none() }
|
|
|
|
|
|
|
|
|
|
predicate ignoreSsaReadArithmeticExpr(Sem::Expr e) { none() }
|
|
|
|
|
|
|
|
|
|
predicate ignoreSsaReadAssignment(Sem::SsaVariable v) { none() }
|
|
|
|
|
|
|
|
|
|
Sem::Expr specificSsaRead(Sem::SsaVariable v, int delta) { none() }
|
|
|
|
|
|
|
|
|
|
predicate additionalValueFlowStep(Sem::Expr dest, Sem::Expr src, int delta) { none() }
|
|
|
|
|
|
|
|
|
|
Sem::Type getAlternateType(Sem::Expr e) { none() }
|
|
|
|
|
|
|
|
|
|
Sem::Type getAlternateTypeForSsaVariable(Sem::SsaVariable var) { none() }
|
|
|
|
|
|
|
|
|
|
predicate javaCompatibility() { any() }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
module Utils implements UtilSig<Sem, IntDelta> {
|
|
|
|
|
private import RangeUtils as RU
|
|
|
|
|
private import semmle.code.java.dataflow.internal.rangeanalysis.SsaReadPositionCommon as SSAReadPos
|
|
|
|
|
|
|
|
|
|
Sem::Expr semSsaRead(Sem::SsaVariable v, int delta) { result = RU::ssaRead(v, delta) }
|
|
|
|
|
|
|
|
|
|
Sem::Guard semEqFlowCond(
|
|
|
|
|
Sem::SsaVariable v, Sem::Expr e, int delta, boolean isEq, boolean testIsTrue
|
|
|
|
|
) {
|
|
|
|
|
result = RU::eqFlowCond(v, e, delta, isEq, testIsTrue)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
predicate semSsaUpdateStep(Sem::SsaExplicitUpdate v, Sem::Expr e, int delta) {
|
|
|
|
|
RU::ssaUpdateStep(v, e, delta)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
predicate semValueFlowStep = RU::valueFlowStep/3;
|
|
|
|
|
|
|
|
|
|
Sem::Type getTrackedTypeForSsaVariable(Sem::SsaVariable var) {
|
|
|
|
|
result = var.getSourceVariable().getType()
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
Sem::Type getTrackedType(Sem::Expr e) { result = e.getType() }
|
|
|
|
|
|
|
|
|
|
predicate rankedPhiInput(
|
|
|
|
|
Sem::SsaPhiNode phi, Sem::SsaVariable inp, Sem::SsaReadPositionPhiInputEdge edge, int r
|
|
|
|
|
) {
|
|
|
|
|
SSAReadPos::rankedPhiInput(phi, inp, edge, r)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
predicate maxPhiInputRank(Sem::SsaPhiNode phi, int rix) { SSAReadPos::maxPhiInputRank(phi, rix) }
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
module Bounds implements BoundSig<Location, Sem, IntDelta> {
|
|
|
|
|
class SemBound = Bound;
|
|
|
|
|
|
|
|
|
|
class SemZeroBound = ZeroBound;
|
|
|
|
|
|
|
|
|
|
class SemSsaBound extends SsaBound {
|
|
|
|
|
Sem::SsaVariable getAVariable() { result = super.getSsa() }
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
module Overflow implements OverflowSig<Sem, IntDelta> {
|
|
|
|
|
predicate semExprDoesNotOverflow(boolean positively, Sem::Expr expr) {
|
|
|
|
|
positively = [true, false] and exists(expr)
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
module Range =
|
|
|
|
|
RangeStage<Location, Sem, IntDelta, Bounds, Overflow, JavaLangImpl, SignInp, Modulus, Utils>;
|
|
|
|
|
|
|
|
|
|
cached
|
|
|
|
|
private module RangeAnalysisCache {
|
|
|
|
|
@@ -138,7 +486,8 @@ private predicate boundCondition(
|
|
|
|
|
sub.getLeftOperand() = ssaRead(v, d) and
|
|
|
|
|
sub.getRightOperand() = e and
|
|
|
|
|
upper = true and
|
|
|
|
|
delta = d + c.getIntValue()
|
|
|
|
|
delta = d + c.getIntValue() and
|
|
|
|
|
okInt(d.(float) + c.getIntValue().(float))
|
|
|
|
|
or
|
|
|
|
|
// (v - d) - e > c
|
|
|
|
|
comp.getGreaterOperand() = sub and
|
|
|
|
|
@@ -146,7 +495,8 @@ private predicate boundCondition(
|
|
|
|
|
sub.getLeftOperand() = ssaRead(v, d) and
|
|
|
|
|
sub.getRightOperand() = e and
|
|
|
|
|
upper = false and
|
|
|
|
|
delta = d + c.getIntValue()
|
|
|
|
|
delta = d + c.getIntValue() and
|
|
|
|
|
okInt(d.(float) + c.getIntValue().(float))
|
|
|
|
|
or
|
|
|
|
|
// e - (v - d) < c
|
|
|
|
|
comp.getLesserOperand() = sub and
|
|
|
|
|
@@ -154,7 +504,8 @@ private predicate boundCondition(
|
|
|
|
|
sub.getLeftOperand() = e and
|
|
|
|
|
sub.getRightOperand() = ssaRead(v, d) and
|
|
|
|
|
upper = false and
|
|
|
|
|
delta = d - c.getIntValue()
|
|
|
|
|
delta = d - c.getIntValue() and
|
|
|
|
|
okInt(d.(float) - c.getIntValue().(float))
|
|
|
|
|
or
|
|
|
|
|
// e - (v - d) > c
|
|
|
|
|
comp.getGreaterOperand() = sub and
|
|
|
|
|
@@ -162,7 +513,8 @@ private predicate boundCondition(
|
|
|
|
|
sub.getLeftOperand() = e and
|
|
|
|
|
sub.getRightOperand() = ssaRead(v, d) and
|
|
|
|
|
upper = true and
|
|
|
|
|
delta = d - c.getIntValue()
|
|
|
|
|
delta = d - c.getIntValue() and
|
|
|
|
|
okInt(d.(float) - c.getIntValue().(float))
|
|
|
|
|
)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
@@ -245,7 +597,8 @@ private Guard boundFlowCond(SsaVariable v, Expr e, int delta, boolean upper, boo
|
|
|
|
|
or
|
|
|
|
|
resultIsStrict = false and d3 = 0
|
|
|
|
|
) and
|
|
|
|
|
delta = d1 + d2 + d3
|
|
|
|
|
delta = d1 + d2 + d3 and
|
|
|
|
|
okInt(d1.(float) + d2.(float) + d3.(float))
|
|
|
|
|
)
|
|
|
|
|
or
|
|
|
|
|
exists(boolean testIsTrue0 |
|
|
|
|
|
@@ -260,7 +613,8 @@ private Guard boundFlowCond(SsaVariable v, Expr e, int delta, boolean upper, boo
|
|
|
|
|
exists(SsaVariable v2, int d |
|
|
|
|
|
// equality needs to control guard
|
|
|
|
|
result.getBasicBlock() = eqSsaCondDirectlyControls(v, v2, d) and
|
|
|
|
|
result = boundFlowCond(v2, e, delta - d, upper, testIsTrue)
|
|
|
|
|
result = boundFlowCond(v2, e, delta - d, upper, testIsTrue) and
|
|
|
|
|
okInt((delta - d).(float) + d.(float))
|
|
|
|
|
)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
@@ -272,7 +626,8 @@ private BasicBlock eqSsaCondDirectlyControls(SsaVariable v1, SsaVariable v2, int
|
|
|
|
|
exists(Guard guardEq, int d1, int d2, boolean eqIsTrue |
|
|
|
|
|
guardEq = eqFlowCond(v1, ssaRead(v2, d1), d2, true, eqIsTrue) and
|
|
|
|
|
delta = d2 - d1 and
|
|
|
|
|
guardEq.directlyControls(result, eqIsTrue)
|
|
|
|
|
guardEq.directlyControls(result, eqIsTrue) and
|
|
|
|
|
okInt(d2.(float) - d1.(float))
|
|
|
|
|
)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
@@ -530,6 +885,7 @@ private predicate boundFlowStepMul(Expr e2, Expr e1, int factor) {
|
|
|
|
|
* therefore only valid for non-negative numbers.
|
|
|
|
|
*/
|
|
|
|
|
private predicate boundFlowStepDiv(Expr e2, Expr e1, int factor) {
|
|
|
|
|
e2.getType() instanceof IntegralType and
|
|
|
|
|
exists(ConstantIntegerExpr c, int k | k = c.getIntValue() and k > 0 |
|
|
|
|
|
exists(DivExpr e |
|
|
|
|
|
e = e2 and e.getLeftOperand() = e1 and e.getRightOperand() = c and factor = k
|
|
|
|
|
@@ -570,7 +926,8 @@ private predicate boundedSsa(
|
|
|
|
|
// upper = true: v <= mid + d1 <= b + d1 + d2 = b + delta
|
|
|
|
|
// upper = false: v >= mid + d1 >= b + d1 + d2 = b + delta
|
|
|
|
|
delta = d1 + d2 and
|
|
|
|
|
(if r1 instanceof NoReason then reason = r2 else reason = r1)
|
|
|
|
|
(if r1 instanceof NoReason then reason = r2 else reason = r1) and
|
|
|
|
|
okInt(d1.(float) + d2.(float))
|
|
|
|
|
)
|
|
|
|
|
or
|
|
|
|
|
exists(int d, Reason r1, Reason r2 |
|
|
|
|
|
@@ -800,6 +1157,9 @@ private predicate boundedCastExpr(
|
|
|
|
|
bounded(cast.getExpr(), b, delta, upper, fromBackEdge, origdelta, reason)
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
bindingset[f]
|
|
|
|
|
private predicate okInt(float f) { -2.pow(31) <= f and f <= 2.pow(31) - 1 }
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
|
* Holds if `b + delta` is a valid bound for `e`.
|
|
|
|
|
* - `upper = true` : `e <= b + delta`
|
|
|
|
|
@@ -833,7 +1193,8 @@ private predicate bounded(
|
|
|
|
|
bounded(mid, b, d2, upper, fromBackEdge, origdelta, reason) and
|
|
|
|
|
// upper = true: e <= mid + d1 <= b + d1 + d2 = b + delta
|
|
|
|
|
// upper = false: e >= mid + d1 >= b + d1 + d2 = b + delta
|
|
|
|
|
delta = d1 + d2
|
|
|
|
|
delta = d1 + d2 and
|
|
|
|
|
okInt(d1.(float) + d2.(float))
|
|
|
|
|
)
|
|
|
|
|
or
|
|
|
|
|
exists(SsaPhiNode phi |
|
|
|
|
|
@@ -846,7 +1207,8 @@ private predicate bounded(
|
|
|
|
|
not e instanceof ConstantIntegerExpr and
|
|
|
|
|
bounded(mid, b, d, upper, fromBackEdge, origdelta, reason) and
|
|
|
|
|
b instanceof ZeroBound and
|
|
|
|
|
delta = d * factor
|
|
|
|
|
delta = d * factor and
|
|
|
|
|
okInt(d.(float) * factor.(float))
|
|
|
|
|
)
|
|
|
|
|
or
|
|
|
|
|
exists(Expr mid, int factor, int d |
|
|
|
|
|
@@ -889,7 +1251,8 @@ private predicate bounded(
|
|
|
|
|
boundedAddition(e, upper, b1, true, d1, fbe1, od1, r1) and
|
|
|
|
|
boundedAddition(e, upper, b2, false, d2, fbe2, od2, r2) and
|
|
|
|
|
delta = d1 + d2 and
|
|
|
|
|
fromBackEdge = fbe1.booleanOr(fbe2)
|
|
|
|
|
fromBackEdge = fbe1.booleanOr(fbe2) and
|
|
|
|
|
okInt(d1.(float) + d2.(float))
|
|
|
|
|
|
|
|
|
|
|
b = b1 and origdelta = od1 and reason = r1 and b2 instanceof ZeroBound
|
|
|
|
|
or
|
|
|
|
|
|