Re: Radians Or Degrees?

On Sat, 16 Mar 2024 01:16:25 +0000
mitchalsup@aol.com (MitchAlsup1) wrote:

Keith Thompson wrote:
 

I can see how computing sin(x) with high precision for "reasonable"
values of x would be useful, but does any of that benefit from being
able to compute sin(2^53) accurately?   

 
Because accurate argument reduction reduces the burden on the
programmer to remain within his sandbox.

Not really.
sin(2**53) is not what programmer wanted, because 2**53 is not the x he
really wanted. It has nothing to do with calculation of sin().

Since early 1990s, when
Payne and Hanek argument reduction became widely available, there is
no reason NOT to perform argument reduction with great accuracy.
NOTE: you don't HAVE to use Payne and Hanek when simpler strategies
word adequately; but when they do not, you do not have to "Throw up
your hands" and run away.