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That would indeed be a funny kind of processor, but x86 can store its registers in memory exactly : simply store/reread them as long doubles.
There was indeed a processor (I think by Honeywell) where the fpt accumulator had extra precision bits that could not be stored in memory. The result was that an interrupt could cause those bits to be randomly lost. Now *that* was a fpt processor you could complain about :-)
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