HP 12c Platinum Virtual Calculator Trigs (emulator state file)

[Gerson W. Barbosa]

(01-26-2015 09:07 AM)EdS2 Wrote:  How do these trig functions compare to Valentin Albillo's?
(http://www.hpcc.org/datafile/hp12/12c_Tr...ctions.pdf)

Fast and Accurate Trigonometric Functions on the HP-12C Platinum

- Angle modes (DEG, RAD, GRAD);

- The stack register Y is preserved;

- Wider input range while keeping the same accuracy (SIN, COS, TAN: |x| < 1E12 degrees);

- All functions are computed independently;

- Mostly fixed execution times regardless of the arguments;

- More accurate results (mainly because the HP 12c Platinum doesn't round intermediate results to 10 digits);

- Faster method (Minimax polynomial rather than Taylor series);

- At least 276 steps long, plus 15 registers;

- It works on the HP 12c Platinum only.

Valentin was limited to only 99 steps however, so his achievement is quite remarkable. I wonder what he could have done with four times more programming steps! (He would never need that much, in the first place).

Regards,

Gerson.