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smallest |cos(x)| ?
10-11-2021, 10:05 PM
Post: #15
RE: smallest |cos(x)| ?
Just for fun, this formula is more accurate than ->RAD()

(k+0.5)*PI ⇒ (k+0.5)*29/(29/PI)

29/pi = 9.230986699329929474595258275605832 997998659 ...

Rounded to 34-dgits, relerr ≈ (1-0.99800)/0.92310 < 0.00217 ULP

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With flipped constant, this is even better.

(k+0.5)*PI ⇒ (k+0.5)*399*(PI/399)

pi/399 = 0.007873665798470659745520409481903516 000494158 ...

Rounded to 34-dgits, relerr ≈ 0.0004941/0.7874 < 0.00063 ULP
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Messages In This Thread
smallest |cos(x)| ? - Albert Chan - 10-07-2021, 12:14 PM
RE: smallest |cos(x)| ? - Werner - 10-07-2021, 03:40 PM
RE: smallest |cos(x)| ? - Albert Chan - 10-07-2021, 06:40 PM
RE: smallest |cos(x)| ? - Werner - 10-08-2021, 07:02 AM
RE: smallest |cos(x)| ? - Albert Chan - 10-08-2021, 08:17 PM
RE: smallest |cos(x)| ? - ijabbott - 10-09-2021, 01:15 PM
RE: smallest |cos(x)| ? - Albert Chan - 10-09-2021, 02:09 PM
RE: smallest |cos(x)| ? - Albert Chan - 10-09-2021, 05:01 PM
RE: smallest |cos(x)| ? - EdS2 - 10-08-2021, 08:24 AM
RE: smallest |cos(x)| ? - Werner - 10-08-2021, 02:16 PM
RE: smallest |cos(x)| ? - Albert Chan - 10-08-2021, 07:54 PM
RE: smallest |cos(x)| ? - Werner - 10-11-2021, 01:16 PM
RE: smallest |cos(x)| ? - Albert Chan - 10-11-2021, 04:22 PM
RE: smallest |cos(x)| ? - Albert Chan - 10-10-2021, 01:36 PM
RE: smallest |cos(x)| ? - Albert Chan - 10-11-2021 10:05 PM



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