How does the DM42 accuracy compare to other calculators ?
12-22-2017, 07:58 AM
Post: #17
 Werner Senior Member Posts: 862 Joined: Dec 2013
RE: How does the DM42 accuracy compare to other calculators ?
(12-22-2017 04:39 AM)Claudio L. Wrote:  Now that means sin(3.14159265359) could be any result in the range
[4.7932384626...E-12 to -5.2067615373...E-12[
Since asin(x) on all those numbers would produce the correct result of 3.14159265359.

I do not agree.
We cannot know where the input came from and have to take it one step at a time.
SIN(3.14159265359) = SIN(PI-x) = SIN(x) ~= x for small x, and that is the only correct result, x = -2.06761537357e-13, incidentally correct to 12 digits, a feat as yet unmatched in TI calculators (correct me if I'm wrong)
It is not because ASIN(x) produces 3.14159265359 for a myriad numbers that they would all be the correct result for SIN(3.14159265359)?
Would you like your 12-digit calculator to return 1e-250 for SQRT(0)?

Cheers, Werner

41CVâ€ ,42S,48GX,49G,DM42,DM41X,17BII,15CE,DM15L,12C,16CE
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