Talk:Floating-point arithmetic: Difference between revisions

Revision as of 11:10, 13 March 2021

Revision as of 12:16, 13 March 2021

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:: - 'implementations that do such ugly things': opposite ... IEEE or '(binary) fp-math' or 'reducing accuracy by limiting to small amount off digits' is doing 'ugly things' with math in general, most of countermeasures rely on 'dirty tricks', i'd suggest letting the mill 'fp-math is imprecise' phase out, and using instead 'we are intelligent beings, we can recognize difficulties and deal with them' ... or the ' ... at least we try to', <br />

:: - 'Even using sin(x)/cos(x) in the floating-point system to implement tan(x) would be a bad idea, due to the errors on sin and on cos, then on the division.' - don't think that simple, it's well known which trig-function has weaknesses in which range(s) (calculated by approximations or taylor series or similar), pls. consider using substitutions only for that ranges ... <!-- Template:Unsigned IP --><small class="autosigned">—&nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/77.10.180.117|77.10.180.117]] ([[User talk:77.10.180.117#top|talk]]) 11:09, 13 March 2021 (UTC)</small> <!--Autosigned by SineBot-->

:::The tan function (tangent) is included in the IEEE 754 and ISO C standards, for instance. The sentence "The asinPi, acosPi and tanPi functions..." is '''not''' about the tan function; moreover, this is historical information, as these functions are part of the current IEEE 754 standard as explained. My addition "assuming an accurate implementation of tan" is needed because some trig implementations are known to be inaccurate (at least for very large arguments), so who knows what one can get with such implementations... — [[User:Vincent Lefèvre|Vincent Lefèvre]] ([[User talk:Vincent Lefèvre|talk]]) 12:16, 13 March 2021 (UTC)