Apparently IEEE-754 guarantees bit-identical (≤½ ulp error) results for +, -, ×, ÷, and √ — but only those? Do processors usually comply?
+, -, *, / - processors absolutely comply. You can get bit-exact results with IEEE-754 between machines-just use SSE2 instead of x87
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thank you very much! Even on GPUs? How about √?
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Can't vouch for hardware-supported √. GPUs - AFAIK can be made to work on new ones, can be tough: https://developer.nvidia.com/sites/default/files/akamai/cuda/files/NVIDIA-CUDA-Floating-Point.pdf …
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