Euler Identity in Home

[Manolo Sobrino]

(04-20-2014 03:32 PM)Eddie W. Shore Wrote:  

(04-04-2014 12:41 PM)Marcus von Cube Wrote:  In Home, π is just a floating point (BCD) number, not a symbolic constant. Thus, sin(π) simply isn't zero. I wouldn't be surprised if the result is the correctly rounded result of computing sin(3.14159265359).

Agree. This is nothing new for HP calculators.

Yeah, I finally figured out what's going on, it's the CORDIC. It can give you those high precision numbers that have nothing to do with the rest of the other things the calculator does with its working significant digits. It is inconsistent, not bad per se. You gain accuracy in some places and lose it in others, you just have to be perfectly aware of how and where that happens. I think that most of the time that is far from obvious. That's why we argued about rounding and different approaches to this.