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llvm/docs/LangRef.rst
@@ -11332,7 +11332,10 @@ environment <floatenv>`.
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NaN values follow the usual :ref:`NaN behaviors <floatnan>`, except that _if_ a
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NaN payload is propagated from the input ("Quieting NaN propagation" or
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"Unchanged NaN propagation" cases), then the low order bits of the NaN payload
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-which cannot fit in the resulting type are discarded.
+which cannot fit in the resulting type are discarded. Note that if discarding
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+the low order bits leads to an all-0 payload, this cannot be represented as a
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+signaling NaN (it would represent an infinity instead), so in that case
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+"Unchanged NaN propagation" is not possible.
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Example:
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""""""""
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