On Fri, 20 Mar 2020, Grant Taylor via COFF wrote:
However, I have to stop and think about how to enter
this on an RPN
calculator. I'll take a swing at this, but I might get it wrong, and I
don't have anything handy to test at the moment.
[a] [enter]
[a] [enter]
[multiply]
[b] [enter]
[b] [enter]
[multiply]
[add]
[square root] # to solve for c
[a] [square] [enter] [b] [square] [+] [sqrt] (You don't need those extra
"enter" keys, as the display is implicitly the top of the stack.)
(12 keys)
7. Well, "square" also needs the orange "shift" key, so that's
really 9,
but the number of keystrokes ain't exactly the point; it's not a race, but
a method of thinking.
Conversely infix notation for comparison.
[a]
[square]
[plus]
[b]
[square]
[square root]
(6 keys)
[...]
Well, it really comes down to the calculation that you are trying to
perform. Trivial example:
1 + 1 = -> 4 keys.
1 enter 1 add -> 4 keys.
I don't have an algebraic calculator right to hand, but I'd imagine that
solving a second-order polynomial (without a built-in program!) would
involve fewer keys when using RPN because of the stack for intermediate
results; a quick estimate is around 30 keys (with single-digit numbers) to
get one of the roots, and you could probably save the result of most of it
on the stack for re-use to get the other root (and the 42S groks complex
numbers as a bonus[*], but that's hardly as a result of RPN). The 42S
also has a handy "swap x/y" if the operands are the wrong way around,
another one to rotate the stack, etc.
You don't do Computer Science without being exposed to RPN, and I had to
wait for a salary-in-lieu payout (long story) before I could afford the
42S that I'd been drooling over (and forget the overpriced IR printer[#]).
[*]
1 +/- SQRT => "0.00 i1.00" (I have the display precision set to 2 because
I use it for monetary stuff a lot; the internal precision is 15 digits).
[#]
A dream of mine is to reverse-engineer the printer protocol, then grab it
using a laptop camera.
Here endeth today's HP-42S lesson...
-- Dave