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C++: Fix range analysis rounding for negative zero
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@@ -293,13 +293,24 @@ predicate analyzableDef(RangeSsaDefinition def, LocalScopeVariable v) {
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assignmentDef(def, v, _) or defDependsOnDef(def, v, _, _)
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}
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/**
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* Computes a normal form of `x` where -0.0 has changed to +0.0. This can be
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* needed on the lesser side of a floating-point comparison or on both sides of
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* a floating point equality because QL does not follow IEEE in floating-point
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* comparisons but instead defines -0.0 to be less than and distinct from 0.0.
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*/
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bindingset[x]
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private float normalizeFloatUp(float x) {
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result = x + 0.0
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}
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/**
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* Computes `x + y`, rounded towards +Inf. This is the general case where both
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* `x` and `y` may be large numbers.
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*/
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bindingset[x, y]
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private float addRoundingUp(float x, float y) {
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if (x + y) - x < y or (x + y) - y < x
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if normalizeFloatUp((x + y) - x) < y or normalizeFloatUp((x + y) - y) < x
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then result = (x + y).nextUp()
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else result = (x + y)
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}
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@@ -310,7 +321,7 @@ private float addRoundingUp(float x, float y) {
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*/
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bindingset[x, y]
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private float addRoundingDown(float x, float y) {
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if (x + y) - x > y or (x + y) - y > x
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if (x + y) - x > normalizeFloatUp(y) or (x + y) - y > normalizeFloatUp(x)
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then result = (x + y).nextDown()
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else result = (x + y)
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}
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