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Merge pull request #11920 from gsingh93/bit-shift-range
C++: Improve left shift and right shift range analysis accuracy
This commit is contained in:
@@ -0,0 +1,263 @@
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private import cpp
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private import experimental.semmle.code.cpp.models.interfaces.SimpleRangeAnalysisExpr
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private import semmle.code.cpp.rangeanalysis.RangeAnalysisUtils
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float evaluateConstantExpr(Expr e) {
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result = e.getValue().toFloat()
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or
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// This handles when a constant value is put into a variable
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// and the variable is used later
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exists(SsaDefinition defn, StackVariable sv |
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defn.getAUse(sv) = e and
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result = defn.getDefiningValue(sv).getValue().toFloat()
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)
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}
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// If the constant right operand is negative or is greater than or equal to the number of
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// bits in the left operands type, then the result is undefined (except on the IA-32
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// architecture where the shift value is masked with 0b00011111, but we can't
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// assume the architecture).
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bindingset[val]
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private predicate isValidShiftExprShift(float val, Expr l) {
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val >= 0 and
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// We use getFullyConverted because the spec says to use the *promoted* left operand
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val < (l.getFullyConverted().getUnderlyingType().getSize() * 8)
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}
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bindingset[val, shift, max_val]
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private predicate canLShiftOverflow(int val, int shift, int max_val) {
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// val << shift = val * 2^shift > max_val => val > max_val/2^shift = max_val >> b
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val > max_val.bitShiftRight(shift)
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}
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/**
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* A range analysis expression consisting of the `>>` or `>>=` operator when at least
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* one operand is a constant (and if the right operand is a constant, it must be "valid"
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* (see `isValidShiftExprShift`)). When handling any undefined behavior, it leaves the
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* values unconstrained. From the C++ standard: "The behavior is undefined if the right
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* operand is negative, or greater than or equal to the length in bits of the promoted
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* left operand. The value of E1 >> E2 is E1 right-shifted E2 bit positions. If E1 has an
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* unsigned type or if E1 has a signed type and a non-negative value, the value of the
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* result is the integral part of the quotient of E1/2^E2. If E1 has a signed type and a
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* negative value, the resulting value is implementation-defined."
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*/
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class ConstantRShiftExprRange extends SimpleRangeAnalysisExpr {
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/**
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* Holds for `a >> b` or `a >>= b` in one of the following two cases:
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* 1. `a` is a constant and `b` is not
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* 2. `b` is constant
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*
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* We don't handle the case where `a` and `b` are both non-constant values.
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*/
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ConstantRShiftExprRange() {
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getUnspecifiedType() instanceof IntegralType and
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exists(Expr l, Expr r |
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l = this.(RShiftExpr).getLeftOperand() and
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r = this.(RShiftExpr).getRightOperand()
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or
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l = this.(AssignRShiftExpr).getLValue() and
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r = this.(AssignRShiftExpr).getRValue()
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|
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l.getUnspecifiedType() instanceof IntegralType and
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r.getUnspecifiedType() instanceof IntegralType and
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(
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// If the left operand is a constant, verify that the right operand is not a constant
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exists(evaluateConstantExpr(l)) and not exists(evaluateConstantExpr(r))
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or
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// If the right operand is a constant, check if it is a valid shift expression
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exists(float constROp |
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constROp = evaluateConstantExpr(r) and isValidShiftExprShift(constROp, l)
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)
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)
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)
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}
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Expr getLeftOperand() {
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result = this.(RShiftExpr).getLeftOperand() or
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result = this.(AssignRShiftExpr).getLValue()
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}
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Expr getRightOperand() {
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result = this.(RShiftExpr).getRightOperand() or
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result = this.(AssignRShiftExpr).getRValue()
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}
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override float getLowerBounds() {
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exists(int lLower, int lUpper, int rLower, int rUpper |
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lLower = getFullyConvertedLowerBounds(getLeftOperand()) and
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lUpper = getFullyConvertedUpperBounds(getLeftOperand()) and
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rLower = getFullyConvertedLowerBounds(getRightOperand()) and
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rUpper = getFullyConvertedUpperBounds(getRightOperand()) and
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lLower <= lUpper and
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rLower <= rUpper
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|
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if
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lLower < 0
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or
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not (
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isValidShiftExprShift(rLower, getLeftOperand()) and
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isValidShiftExprShift(rUpper, getLeftOperand())
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)
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then
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// We don't want to deal with shifting negative numbers at the moment,
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// and a negative shift is implementation defined, so we set the result
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// to the minimum value
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result = exprMinVal(this)
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else
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// We can get the smallest value by shifting the smallest bound by the largest bound
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result = lLower.bitShiftRight(rUpper)
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)
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}
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override float getUpperBounds() {
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exists(int lLower, int lUpper, int rLower, int rUpper |
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lLower = getFullyConvertedLowerBounds(getLeftOperand()) and
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lUpper = getFullyConvertedUpperBounds(getLeftOperand()) and
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rLower = getFullyConvertedLowerBounds(getRightOperand()) and
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rUpper = getFullyConvertedUpperBounds(getRightOperand()) and
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lLower <= lUpper and
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rLower <= rUpper
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|
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if
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lLower < 0
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or
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not (
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isValidShiftExprShift(rLower, getLeftOperand()) and
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isValidShiftExprShift(rUpper, getLeftOperand())
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)
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then
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// We don't want to deal with shifting negative numbers at the moment,
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// and a negative shift is implementation defined, so we set the result
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// to the maximum value
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result = exprMaxVal(this)
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else
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// We can get the largest value by shifting the largest bound by the smallest bound
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result = lUpper.bitShiftRight(rLower)
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)
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}
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override predicate dependsOnChild(Expr child) {
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child = getLeftOperand() or child = getRightOperand()
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}
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}
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/**
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* A range analysis expression consisting of the `<<` or `<<=` operator when at least
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* one operand is a constant (and if the right operand is a constant, it must be "valid"
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* (see `isValidShiftExprShift`)). When handling any undefined behavior, it leaves the
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* values unconstrained. From the C++ standard: "The behavior is undefined if the right
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* operand is negative, or greater than or equal to the length in bits of the promoted left operand.
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* The value of E1 << E2 is E1 left-shifted E2 bit positions; vacated bits are zero-filled. If E1
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* has an unsigned type, the value of the result is E1 x 2 E2, reduced modulo one more than the
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* maximum value representable in the result type. Otherwise, if E1 has a signed type and
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* non-negative value, and E1 x 2 E2 is representable in the corresponding unsigned type of the
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* result type, then that value, converted to the result type, is the resulting value; otherwise,
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* the behavior is undefined."
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*/
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class ConstantLShiftExprRange extends SimpleRangeAnalysisExpr {
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/**
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* Holds for `a << b` or `a <<= b` in one of the following two cases:
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* 1. `a` is a constant and `b` is not
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* 2. `b` is constant
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*
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* We don't handle the case where `a` and `b` are both non-constant values.
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*/
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ConstantLShiftExprRange() {
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getUnspecifiedType() instanceof IntegralType and
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exists(Expr l, Expr r |
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l = this.(LShiftExpr).getLeftOperand() and
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r = this.(LShiftExpr).getRightOperand()
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or
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l = this.(AssignLShiftExpr).getLValue() and
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r = this.(AssignLShiftExpr).getRValue()
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|
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l.getUnspecifiedType() instanceof IntegralType and
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r.getUnspecifiedType() instanceof IntegralType and
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(
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// If the left operand is a constant, verify that the right operand is not a constant
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exists(evaluateConstantExpr(l)) and not exists(evaluateConstantExpr(r))
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or
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// If the right operand is a constant, check if it is a valid shift expression
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exists(float constROp |
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constROp = evaluateConstantExpr(r) and isValidShiftExprShift(constROp, l)
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)
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)
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)
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}
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Expr getLeftOperand() {
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result = this.(LShiftExpr).getLeftOperand() or
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result = this.(AssignLShiftExpr).getLValue()
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}
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Expr getRightOperand() {
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result = this.(LShiftExpr).getRightOperand() or
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result = this.(AssignLShiftExpr).getRValue()
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}
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override float getLowerBounds() {
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exists(int lLower, int lUpper, int rLower, int rUpper |
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lLower = getFullyConvertedLowerBounds(getLeftOperand()) and
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lUpper = getFullyConvertedUpperBounds(getLeftOperand()) and
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rLower = getFullyConvertedLowerBounds(getRightOperand()) and
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rUpper = getFullyConvertedUpperBounds(getRightOperand()) and
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lLower <= lUpper and
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rLower <= rUpper
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|
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if
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lLower < 0
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or
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not (
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isValidShiftExprShift(rLower, getLeftOperand()) and
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isValidShiftExprShift(rUpper, getLeftOperand())
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)
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then
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// We don't want to deal with shifting negative numbers at the moment,
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// and a negative shift is undefined, so we set to the minimum value
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result = exprMinVal(this)
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else
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// If we have `0b01010000 << [0, 2]`, the max value for 8 bits is 0b10100000
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// (a shift of 1) but doing a shift by the upper bound would give 0b01000000.
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// So if the left shift operation causes an overflow, we just assume the max value
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// If necessary, we may be able to improve this bound in the future
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if canLShiftOverflow(lUpper, rUpper, exprMaxVal(this))
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then result = exprMinVal(this)
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else result = lLower.bitShiftLeft(rLower)
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)
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}
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override float getUpperBounds() {
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exists(int lLower, int lUpper, int rLower, int rUpper |
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lLower = getFullyConvertedLowerBounds(getLeftOperand()) and
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lUpper = getFullyConvertedUpperBounds(getLeftOperand()) and
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rLower = getFullyConvertedLowerBounds(getRightOperand()) and
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rUpper = getFullyConvertedUpperBounds(getRightOperand()) and
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lLower <= lUpper and
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rLower <= rUpper
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|
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if
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lLower < 0
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or
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not (
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isValidShiftExprShift(rLower, getLeftOperand()) and
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isValidShiftExprShift(rUpper, getLeftOperand())
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)
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then
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// We don't want to deal with shifting negative numbers at the moment,
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// and a negative shift is undefined, so we set it to the maximum value
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result = exprMaxVal(this)
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else
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// If we have `0b01010000 << [0, 2]`, the max value for 8 bits is 0b10100000
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// (a shift of 1) but doing a shift by the upper bound would give 0b01000000.
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// So if the left shift operation causes an overflow, we just assume the max value
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// If necessary, we may be able to improve this bound in the future
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if canLShiftOverflow(lUpper, rUpper, exprMaxVal(this))
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then result = exprMaxVal(this)
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else result = lUpper.bitShiftLeft(rUpper)
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)
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}
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override predicate dependsOnChild(Expr child) {
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child = getLeftOperand() or child = getRightOperand()
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}
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}
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@@ -0,0 +1,44 @@
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| bitshift.cpp:23:3:23:9 | ... <<= ... | 0.0 | 255.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int |
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| bitshift.cpp:25:5:25:11 | ... <<= ... | 0.0 | 240.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int |
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| bitshift.cpp:29:3:29:8 | ... << ... | 0.0 | 1020.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
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| bitshift.cpp:32:3:32:9 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
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| bitshift.cpp:35:3:35:9 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
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| bitshift.cpp:38:3:38:22 | ... << ... | 0.0 | 32640.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
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| bitshift.cpp:39:3:39:22 | ... << ... | 0.0 | 32640.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
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| bitshift.cpp:40:3:40:22 | ... << ... | 0.0 | 32640.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
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| bitshift.cpp:43:3:43:19 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
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| bitshift.cpp:46:3:46:22 | ... << ... | 128.0 | 128.0 | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
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| bitshift.cpp:49:3:49:8 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
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| bitshift.cpp:52:5:52:10 | ... << ... | 1.0 | 128.0 | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
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| bitshift.cpp:57:3:57:8 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
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| bitshift.cpp:58:3:58:9 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
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| bitshift.cpp:59:3:59:9 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:60:3:60:22 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
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| bitshift.cpp:61:3:61:19 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:64:3:64:19 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | int | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:67:3:67:8 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | int | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:70:5:70:10 | ... << ... | 1.0 | 128.0 | file://:0:0:0:0 | int | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:75:5:75:10 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:76:5:76:10 | ... << ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:90:3:90:9 | ... >>= ... | 0.0 | 63.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:92:5:92:11 | ... >>= ... | 0.0 | 15.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:96:3:96:8 | ... >> ... | 0.0 | 63.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:99:3:99:9 | ... >> ... | 0.0 | 0.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:103:3:103:9 | ... >> ... | 0.0 | 0.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:106:3:106:22 | ... >> ... | 0.0 | 63.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:107:3:107:22 | ... >> ... | 0.0 | 63.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:108:3:108:22 | ... >> ... | 0.0 | 63.0 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:111:3:111:19 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:114:3:114:24 | ... >> ... | 32.0 | 32.0 | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:117:3:117:10 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:120:5:120:12 | ... >> ... | 32.0 | 128.0 | file://:0:0:0:0 | int | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:126:3:126:8 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:127:3:127:9 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:128:3:128:9 | ... >> ... | -1.0 | 0.0 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:129:3:129:22 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:130:3:130:19 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:133:3:133:21 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | int | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:136:3:136:10 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | int | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:139:5:139:12 | ... >> ... | 32.0 | 128.0 | file://:0:0:0:0 | int | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:144:5:144:10 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | signed char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
| bitshift.cpp:145:5:145:10 | ... >> ... | -2.147483648E9 | 2.147483647E9 | file://:0:0:0:0 | signed char | file://:0:0:0:0 | unsigned char | file://:0:0:0:0 | int | file://:0:0:0:0 | int |
|
||||
@@ -0,0 +1,24 @@
|
||||
import cpp
|
||||
import semmle.code.cpp.rangeanalysis.SimpleRangeAnalysis
|
||||
import experimental.semmle.code.cpp.rangeanalysis.extensions.ConstantShiftExprRange
|
||||
|
||||
Expr getLOp(Operation o) {
|
||||
result = o.(BinaryOperation).getLeftOperand() or
|
||||
result = o.(Assignment).getLValue()
|
||||
}
|
||||
|
||||
Expr getROp(Operation o) {
|
||||
result = o.(BinaryOperation).getRightOperand() or
|
||||
result = o.(Assignment).getRValue()
|
||||
}
|
||||
|
||||
from Operation o
|
||||
where
|
||||
(
|
||||
o instanceof BinaryBitwiseOperation
|
||||
or
|
||||
o instanceof AssignBitwiseOperation
|
||||
)
|
||||
select o, lowerBound(o), upperBound(o), getLOp(o).getUnderlyingType(),
|
||||
getROp(o).getUnderlyingType(), getLOp(o).getFullyConverted().getUnderlyingType(),
|
||||
getROp(o).getFullyConverted().getUnderlyingType()
|
||||
@@ -0,0 +1,147 @@
|
||||
typedef signed char int8_t;
|
||||
typedef short int16_t;
|
||||
typedef int int32_t;
|
||||
typedef long int64_t;
|
||||
|
||||
typedef unsigned char uint8_t;
|
||||
typedef unsigned short uint16_t;
|
||||
typedef unsigned int uint32_t;
|
||||
typedef unsigned long uint64_t;
|
||||
|
||||
extern uint8_t value_known_at_runtime8();
|
||||
|
||||
void testLShiftOperator() {
|
||||
uint8_t unsigned_const1 = 7;
|
||||
uint8_t unsigned_const2(7);
|
||||
uint8_t unsigned_const3{7};
|
||||
int8_t signed_const = -7;
|
||||
uint8_t x = value_known_at_runtime8();
|
||||
int8_t y = (int8_t)value_known_at_runtime8();
|
||||
uint8_t z = value_known_at_runtime8();
|
||||
|
||||
// An assign left shift operator. Note that no promotion occurs here
|
||||
z <<= 2; // [0, 255]
|
||||
if (z <= 60) {
|
||||
z <<= 2; // [0, 240]
|
||||
}
|
||||
|
||||
// A normal shift
|
||||
x << 2; // [0, 1020]
|
||||
|
||||
// Possible to exceed the maximum size
|
||||
x << 25; // [-2147483648, 2147483648]
|
||||
|
||||
// Undefined behavior
|
||||
x << 34; // [-2147483648, 2147483648]
|
||||
|
||||
// A normal shift by a constant in a variable
|
||||
x << unsigned_const1; // [0, 32640]
|
||||
x << unsigned_const2; // [0, 32640]
|
||||
x << unsigned_const3; // [0, 32640]
|
||||
|
||||
// Negative shifts are undefined
|
||||
x << signed_const; // [-2147483648, 2147483648]
|
||||
|
||||
// Now the left operand is a constant
|
||||
1 << unsigned_const1; // [128, 128]
|
||||
|
||||
// x could be large enough to cause undefined behavior
|
||||
1 << x; // [-2147483648, 2147483647]
|
||||
if (x < 8) {
|
||||
// x is now constrained so the shift is defined
|
||||
1 << x; // [1, 128]
|
||||
}
|
||||
|
||||
// We don't support shifting negative values (and some of these are undefined
|
||||
// anyway)
|
||||
y << 2; // [-2147483648, 2147483647]
|
||||
y << 25; // [-2147483648, 2147483648]
|
||||
y << 34; // [-2147483648, 2147483648]
|
||||
y << unsigned_const1; // [-2147483648, 2147483647]
|
||||
y << signed_const; // [-2147483648, 2147483648]
|
||||
|
||||
// Negative shifts are undefined
|
||||
1 << signed_const; // [-2147483648, 2147483648]
|
||||
|
||||
// We don't handle cases where the shift range could be negative
|
||||
1 << y; // [-2147483648, 2147483648]
|
||||
if (y >= 0 && y < 8) {
|
||||
// The shift range is now positive
|
||||
1 << y; // [1, 128]
|
||||
}
|
||||
|
||||
if (x > 0 and x < 2 and y > 0 and x < 2) {
|
||||
// We don't support shifts where neither operand is a constant at the moment
|
||||
x << y; // [-2147483648, 2147483648]
|
||||
y << x; // [-2147483648, 2147483648]
|
||||
}
|
||||
}
|
||||
|
||||
void testRShiftOperator() {
|
||||
uint8_t unsigned_const1 = 2;
|
||||
uint8_t unsigned_const2(2);
|
||||
uint8_t unsigned_const3{2};
|
||||
int8_t signed_const = -2;
|
||||
uint8_t x = value_known_at_runtime8();
|
||||
int8_t y = (int8_t)value_known_at_runtime8();
|
||||
uint8_t z = value_known_at_runtime8();
|
||||
|
||||
// An assign right shift operator. Note that no promotion occurs here
|
||||
z >>= 2; // [0, 63]
|
||||
if (z <= 60) {
|
||||
z >>= 2; // [0, 15]
|
||||
}
|
||||
|
||||
// A normal shift
|
||||
x >> 2; // [0, 63]
|
||||
|
||||
// Possible to exceed the maximum size
|
||||
x >> 25; // [0, 0]
|
||||
|
||||
// Undefined behavior, but this case is handled by the SimpleRangeAnalysis
|
||||
// library and sets the the bounds to [0, 0], which is fine
|
||||
x >> 34; // [0, 0]
|
||||
|
||||
// A normal shift by a constant in a variable
|
||||
x >> unsigned_const1; // [0, 63]
|
||||
x >> unsigned_const2; // [0, 63]
|
||||
x >> unsigned_const3; // [0, 63]
|
||||
|
||||
// Negative shifts are undefined
|
||||
x >> signed_const; // [-2147483648, 2147483648]
|
||||
|
||||
// Now the left operand is a constant
|
||||
128 >> unsigned_const1; // [32, 32]
|
||||
|
||||
// x could be large enough to cause undefined behavior
|
||||
128 >> x; // [-2147483648, 2147483647]
|
||||
if (x < 3) {
|
||||
// x is now constrained so the shift is defined
|
||||
128 >> x; // [32, 128]
|
||||
}
|
||||
|
||||
// We don't support shifting negative values, but the SimpleRangeAnalysis
|
||||
// library handles the first three cases even though they're implementation
|
||||
// defined or undefined behavior (TODO: Check ideone)
|
||||
y >> 2; // [-2147483648, 2147483647] (Default is [-32, 31])
|
||||
y >> 25; // -2147483648, 2147483647] (Default is [-1, 0])
|
||||
y >> 34; // [-1, 0] (My code doesn't touch this, so default code is used)
|
||||
y >> unsigned_const1; // [-2147483648, 2147483647]
|
||||
y >> signed_const; // [-2147483648, 2147483648]
|
||||
|
||||
// Negative shifts are undefined
|
||||
128 >> signed_const; // [-2147483648, 2147483648]
|
||||
|
||||
// We don't handle cases where the shift range could be negative
|
||||
128 >> y; // [-2147483648, 2147483648]
|
||||
if (y >= 0 && y < 3) {
|
||||
// The shift range is now positive
|
||||
128 >> y; // [32, 128]
|
||||
}
|
||||
|
||||
if (x > 0 and x < 2 and y > 0 and x < 2) {
|
||||
// We don't support shifts where neither operand is a constant at the moment
|
||||
x >> y; // [-2147483648, 2147483648]
|
||||
y >> x; // [-2147483648, 2147483648]
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user