Merge pull request #13783 from MathiasVP/type-bounds-for-new-range-analysis

C++: Constant type-bounds in the new range analysis
This commit is contained in:
Mathias Vorreiter Pedersen
2023-08-07 15:20:45 +01:00
committed by GitHub
8 changed files with 78 additions and 21 deletions

View File

@@ -307,3 +307,8 @@ class SemConditionalExpr extends SemKnownExpr {
branch = false and result = falseResult
}
}
/** Holds if `upper = true` and `e <= bound` or `upper = false` and `e >= bound`. */
predicate semHasConstantBoundConstantSpecific(SemExpr e, float bound, boolean upper) {
Specific::hasConstantBoundConstantSpecific(e, bound, upper)
}

View File

@@ -434,6 +434,50 @@ module SemanticExprConfig {
/** Gets the expression associated with `instr`. */
SemExpr getSemanticExpr(IR::Instruction instr) { result = Equiv::getEquivalenceClass(instr) }
private predicate typeBounds(SemType t, float lb, float ub) {
exists(SemIntegerType integralType, float limit |
integralType = t and limit = 2.pow(8 * integralType.getByteSize())
|
if integralType instanceof SemBooleanType
then lb = 0 and ub = 1
else
if integralType.isSigned()
then (
lb = -(limit / 2) and ub = (limit / 2) - 1
) else (
lb = 0 and ub = limit - 1
)
)
or
// This covers all floating point types. The range is (-Inf, +Inf).
t instanceof SemFloatingPointType and lb = -(1.0 / 0.0) and ub = 1.0 / 0.0
}
/**
* Holds if `upper = true` and `e <= bound` or `upper = false` and `e >= bound` based
* only on type information.
*/
predicate hasConstantBoundConstantSpecific(Expr e, float bound, boolean upper) {
exists(
SemType converted, SemType unconverted, float unconvertedLb, float convertedLb,
float unconvertedUb, float convertedUb
|
unconverted = getSemanticType(e.getUnconverted().getResultIRType()) and
converted = getSemanticType(e.getConverted().getResultIRType()) and
typeBounds(unconverted, unconvertedLb, unconvertedUb) and
typeBounds(converted, convertedLb, convertedUb) and
(
upper = true and
unconvertedUb < convertedUb and
bound = unconvertedUb
or
upper = false and
unconvertedLb > convertedLb and
bound = unconvertedLb
)
)
}
}
predicate getSemanticExpr = SemanticExprConfig::getSemanticExpr/1;
@@ -457,3 +501,5 @@ IRBound::Bound getCppBound(SemBound bound) { bound = result }
SemGuard getSemanticGuard(IRGuards::IRGuardCondition guard) { result = guard }
IRGuards::IRGuardCondition getCppGuard(SemGuard guard) { guard = result }
predicate hasConstantBoundConstantSpecific = SemanticExprConfig::hasConstantBoundConstantSpecific/3;

View File

@@ -74,7 +74,10 @@ module CppLangImplConstant implements LangSig<FloatDelta> {
/**
* Holds if `e >= bound` (if `upper = false`) or `e <= bound` (if `upper = true`).
*/
predicate hasConstantBound(SemExpr e, float bound, boolean upper) { none() }
predicate hasConstantBound(SemExpr e, float bound, boolean upper, SemReason reason) {
semHasConstantBoundConstantSpecific(e, bound, upper) and
reason instanceof SemTypeReason
}
/**
* Holds if `e >= bound + delta` (if `upper = false`) or `e <= bound + delta` (if `upper = true`).

View File

@@ -110,7 +110,7 @@ module CppLangImplRelative implements LangSig<FloatDelta> {
/**
* Holds if `e >= bound` (if `upper = false`) or `e <= bound` (if `upper = true`).
*/
predicate hasConstantBound(SemExpr e, float bound, boolean upper) { none() }
predicate hasConstantBound(SemExpr e, float bound, boolean upper, SemReason reason) { none() }
/**
* Holds if `e >= bound + delta` (if `upper = false`) or `e <= bound + delta` (if `upper = true`).

View File

@@ -155,7 +155,7 @@ signature module LangSig<DeltaSig D> {
/**
* Holds if `e >= bound` (if `upper = false`) or `e <= bound` (if `upper = true`).
*/
predicate hasConstantBound(SemExpr e, D::Delta bound, boolean upper);
predicate hasConstantBound(SemExpr e, D::Delta bound, boolean upper, SemReason reason);
/**
* Holds if `e >= bound + delta` (if `upper = false`) or `e <= bound + delta` (if `upper = true`).
@@ -920,14 +920,15 @@ module RangeStage<
* Holds if `e` has an upper (for `upper = true`) or lower
* (for `upper = false`) bound of `b`.
*/
private predicate baseBound(SemExpr e, D::Delta b, boolean upper) {
hasConstantBound(e, b, upper)
private predicate baseBound(SemExpr e, D::Delta b, boolean upper, SemReason reason) {
hasConstantBound(e, b, upper, reason)
or
upper = false and
b = D::fromInt(0) and
semPositive(e.(SemBitAndExpr).getAnOperand()) and
// REVIEW: We let the language opt out here to preserve original results.
not ignoreZeroLowerBound(e)
not ignoreZeroLowerBound(e) and
reason instanceof SemNoReason
}
/**
@@ -1055,11 +1056,10 @@ module RangeStage<
origdelta = delta and
reason instanceof SemNoReason
or
baseBound(e, delta, upper) and
baseBound(e, delta, upper, reason) and
b instanceof SemZeroBound and
fromBackEdge = false and
origdelta = delta and
reason instanceof SemNoReason
origdelta = delta
or
exists(SemSsaVariable v, SemSsaReadPositionBlock bb |
boundedSsa(v, bb, b, delta, upper, fromBackEdge, origdelta, reason) and

View File

@@ -20,7 +20,8 @@ private Instruction getABoundIn(SemBound b, IRFunction func) {
pragma[inline]
private predicate boundedImpl(Instruction i, Instruction b, int delta) {
exists(SemBound bound, IRFunction func |
semBounded(getSemanticExpr(i), bound, delta, true, _) and
semBounded(getSemanticExpr(i), bound, delta, true,
any(SemReason reason | not reason instanceof SemTypeReason)) and
b = getABoundIn(bound, func) and
i.getEnclosingIRFunction() = func
)