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1 vote
1 answer
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Shortest decimal expansion within binary interval

Consider an interval $[x-2^n,x+2^n]$ defined by a binary float $x$ and a power of two $2^n$ typically much smaller than $x$. I would like to know whether an efficient algorithm exists to determine the …
equaeghe's user avatar
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3 votes
1 answer
417 views

Are IEEE floating point numbers intervals or point values?

the rounding rule used—represents an interval in which the ‘true’ resulting value of the computation lies. … If interval analysis were used, rounding rules would not be needed. …
equaeghe's user avatar
  • 190