Exact real arithmetic - Keith Briggs
Exact real arithmetic - Keith Briggs
Exact real arithmetic - Keith Briggs
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⊲ Outline<br />
Contents<br />
⊲ IEEE floating point<br />
⊲ Another floating point disaster<br />
⊲ Irrationals<br />
⊲ Digit expansions<br />
⊲ What's the problem?<br />
⊲ Continued fraction <strong>arithmetic</strong><br />
⊲ Scaled-integer representation<br />
⊲ Data flow in XR system<br />
⊲ Some easy operations<br />
⊲ Addition and multiplication<br />
⊲ The big software challenge<br />
⊲ Algebraic number construction<br />
⊲ Transcendental functions<br />
<strong>Exact</strong> <strong>real</strong> <strong>arithmetic</strong> 2 of 32