Calculating e^x-1 on classic HPs

[Dieter]

(01-15-2016 01:19 AM)Paul Dale Wrote:  e^x–1 is calculated using 39 digits.

I should switch to your method. It will possibly be slightly faster and it is more accurate.

You should stay with the current code. Who cares about the last digit in a 39-digit calculation when only 34 digits are returned to the user? And who knows the accuracy of the exp and log functions? Finally, the current method is Kahan-proof. ;-)

But you can speed up the e^x–1 function by adding the test whether e^x>2 resp. v>1. This avoids, for larger arguments, a call of the log function which, as far as I remember, is particulary slow on the 34s.

Dieter