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C++: Infer a constant upper bound whenever we convert to a 'larger' upper bound (and similarly for lower bounds).
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@@ -307,3 +307,8 @@ class SemConditionalExpr extends SemKnownExpr {
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branch = false and result = falseResult
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}
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}
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/** Holds if `upper = true` and `e <= bound` or `upper = false` and `e >= bound`. */
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predicate semHasConstantBoundConstantSpecific(SemExpr e, float bound, boolean upper) {
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Specific::hasConstantBoundConstantSpecific(e, bound, upper)
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}
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@@ -434,6 +434,50 @@ module SemanticExprConfig {
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/** Gets the expression associated with `instr`. */
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SemExpr getSemanticExpr(IR::Instruction instr) { result = Equiv::getEquivalenceClass(instr) }
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private predicate typeBounds(SemType t, float lb, float ub) {
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exists(SemIntegerType integralType, float limit |
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integralType = t and limit = 2.pow(8 * integralType.getByteSize())
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if integralType instanceof SemBooleanType
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then lb = 0 and ub = 1
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else
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if integralType.isSigned()
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then (
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lb = -(limit / 2) and ub = (limit / 2) - 1
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) else (
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lb = 0 and ub = limit - 1
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)
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)
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or
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// This covers all floating point types. The range is (-Inf, +Inf).
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t instanceof SemFloatingPointType and lb = -(1.0 / 0.0) and ub = 1.0 / 0.0
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}
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/**
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* Holds if `upper = true` and `e <= bound` or `upper = false` and `e >= bound` based
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* only on type information.
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*/
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predicate hasConstantBoundConstantSpecific(Expr e, float bound, boolean upper) {
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exists(
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SemType converted, SemType unconverted, float unconvertedLb, float convertedLb,
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float unconvertedUb, float convertedUb
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unconverted = getSemanticType(e.getUnconverted().getResultIRType()) and
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converted = getSemanticType(e.getConverted().getResultIRType()) and
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typeBounds(unconverted, unconvertedLb, unconvertedUb) and
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typeBounds(converted, convertedLb, convertedUb) and
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(
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upper = true and
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unconvertedUb < convertedUb and
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bound = unconvertedUb
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or
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upper = false and
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unconvertedLb > convertedLb and
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bound = unconvertedLb
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)
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)
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}
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}
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predicate getSemanticExpr = SemanticExprConfig::getSemanticExpr/1;
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@@ -457,3 +501,5 @@ IRBound::Bound getCppBound(SemBound bound) { bound = result }
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SemGuard getSemanticGuard(IRGuards::IRGuardCondition guard) { result = guard }
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IRGuards::IRGuardCondition getCppGuard(SemGuard guard) { guard = result }
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predicate hasConstantBoundConstantSpecific = SemanticExprConfig::hasConstantBoundConstantSpecific/3;
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@@ -74,7 +74,9 @@ module CppLangImplConstant implements LangSig<FloatDelta> {
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/**
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* Holds if `e >= bound` (if `upper = false`) or `e <= bound` (if `upper = true`).
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*/
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predicate hasConstantBound(SemExpr e, float bound, boolean upper) { none() }
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predicate hasConstantBound(SemExpr e, float bound, boolean upper) {
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semHasConstantBoundConstantSpecific(e, bound, upper)
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}
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/**
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* Holds if `e >= bound + delta` (if `upper = false`) or `e <= bound + delta` (if `upper = true`).
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