(11-28-2018 12:04 PM)zeno333 Wrote:  If one includes calculators that run on a Smartphone as a pocket calculator, the most accurate scientific calculator I know about is the "Champ Pro" for Android. It does the square root of 2 to 117 decimal places, and can display all digits. Is there another more accurate scientific out there I do not know about??

(11-28-2018 07:52 PM)Garth Wilson Wrote:  Does the accuracy match the precision though, particularly in functions that are calculated by polynomials with tweaked coefficients to take the place of infinite series?

(11-29-2018 04:36 AM)Jim Horn Wrote:  There was a posting some time back to an article about an Android app with essentially unlimited precision. When used, it would let the user scroll the display to show more digits of its calculation, while computing more digits as needed. I downloaded and tried it - very interesting! Unfortunately, the phone I had died and I've not found the reference with the Forum's search feature.

(11-29-2018 04:36 AM)Jim Horn Wrote:  There was a posting some time back to an article about an Android app with essentially unlimited precision. When used, it would let the user scroll the display to show more digits of its calculation, while computing more digits as needed. I downloaded and tried it - very interesting! Unfortunately, the phone I had died and I've not found the reference with the Forum's search feature.

Quote:It is still possible for previously displayed digits to change as we are scrolling.
But we always compute a number of digits more than we actually need, so this is exceedingly unlikely.

Since our goal is an error of strictly less than one in the last displayed digit,
we will never, for example, display an answer of exactly 2 as 1.9999999999.
That would involve an error of exactly one in the last place, which is too much for us.

(12-04-2018 08:44 AM)Sukiari Wrote:  If you’re talking about calculators with “stock” firmware the WP-34s and the DM-42 both use Intel’s decimal128 library, making them the most accurate calculators in the floating point domain.

(12-04-2018 09:34 AM)Paul Dale Wrote:  

(12-04-2018 08:44 AM)Sukiari Wrote:  If you’re talking about calculators with “stock” firmware the WP-34s and the DM-42 both use Intel’s decimal128 library, making them the most accurate calculators in the floating point domain.

The WP 34S does not use Intel's library. It uses the decNumber library for the basic operations and everything else is implemented on top of this. I'm aware of a couple of instances where the 34S rounds correctly whereas Intel's library is off by one in the last digit. I'm not aware of the reverse (yet).


Pauli