H->HMS conversion HP-15C vs. HP42S vs HP67

[Joe Horn]

(09-10-2018 12:46 PM)Albert Chan Wrote:  Since 9°59'60" = 10°, "60 seconds bug" is not serious (easily fixed in the head)
At worse, this is a display bug, wrongly assumed number is decimal (see post 37).

(1) "Not serious"? Would anybody tolerate a digital clock that said the time is 1:29:60? No. It would be considered a buggy clock. Nor should we tolerate an HMS algorithm that returns 60 seconds or 60 minutes.

(2) "Only a display bug" is not true. Pekis' formulas (both his original and his "improved" one) return EXACTLY 1.29600000000 on the HP 50g for an input of 1.49999999999. That's not an artifact of display-mode rounding. It's a bug in the algorithm.