HP-41 RPN program solution sought - test problem - Printable Version +- HP Forums ( https://www.hpmuseum.org/forum)+-- Forum: HP Calculators (and very old HP Computers) ( /forum-3.html)+--- Forum: General Forum ( /forum-4.html)+--- Thread: HP-41 RPN program solution sought - test problem ( /thread-17631.html) |

HP-41 RPN program solution sought - test problem - Gene - 10-27-2021 08:03 PM
What's the best (shortest meant here) way you can devise to program a solution to this problem in HP-41 RPN? Enter an angle in degrees mode and press A to return the answer. So start with LBL A and evaluate: Equation T = ... What can you come up with ? Gene RE: HP-41 RPN program solution sought - test problem - Peet - 10-27-2021 09:05 PM
I hope this is not completely stupid, but I'll try (without testing): lbl A xeq deg sto 01 sqrt 1 + sto 02 sin 2,5 * sto 03 pi / rcl 02 cos rcl 01 sin / + rcl 03 / RE: HP-41 RPN program solution sought - test problem - Gerson W. Barbosa - 10-27-2021 09:19 PM
Assuming angle mode is DEG: Code:
RE: HP-41 RPN program solution sought - test problem - Werner - 10-28-2021 06:33 AM
I can shave off one byte: Code: ` 01 LBL A` Cheers, Werner RE: HP-41 RPN program solution sought - test problem - floppy - 10-28-2021 08:39 AM
(10-27-2021 08:03 PM)Gene Wrote: What's the best (shortest meant here) way you can devise to program a solution to this problem in HP-41 RPN?First I draw it in my preferred graphical calculator https://www.desmos.com/calculator/pop31xijnj?lang=de And in the time I was drawing (took 5min), smarter ones has give to you some solutions. I was not quick enough ;-) RE: HP-41 RPN program solution sought - test problem - Gene - 10-29-2021 05:27 PM
Great job Werner! I was curious and comparing it to an algebraic (AOS) version. That was 39 steps/bytes. RE: HP-41 RPN program solution sought - test problem - C.Ret - 10-31-2021 12:58 PM
(10-28-2021 08:39 AM)floppy Wrote: First I draw it in my preferred graphical calculator https://www.desmos.com/calculator/pop31xijnj?lang=de Nice plotter, except that it is missing the important fact that x have to be in degrees (not radians nor Bogenmaßen). (10-29-2021 05:27 PM)Gene Wrote: I was curious and comparing it to an algebraic (AOS) version. That was 39 steps/bytes. Let's have a try. Assuming that the complicated function can be simplify as W.Barbosa and Werner have done: \( f(x)=\frac{\frac{2.5\times sin(\sqrt{x}+1)}{\pi}+\frac{cos(\sqrt{x}+1)}{sin(x)}}{2.5\times sin(\sqrt{x}+1)}=\frac{1}{\pi}+\frac{.4}{sin(x)\times tan(\sqrt{x}+1)} \) And using a blue TI-57 LCD using certified AOS technology: STO0 .4 ÷ ( RCL0 sin × ( 1 + RCL0 √x ) tan ) + ∏ 1/x = R/S RST The last too steps are optional but useful in program; so this function can be recorded using 22 steps (or bytes) in LRN mode. RE: HP-41 RPN program solution sought - test problem - Gerson W. Barbosa - 10-31-2021 05:43 PM
(10-31-2021 12:58 PM)C.Ret Wrote: And using a blue TI-57 LCD using certified AOS technology: Perhaps you can save one byte by eliminating the parentheses: STO0 √x + 1 = tan × RCL0 sin × 2.5 = 1/x + ∏ 1/x = R/S RST RE: HP-41 RPN program solution sought - test problem - C.Ret - 10-31-2021 08:54 PM
(10-31-2021 05:43 PM)Gerson W. Barbosa Wrote: Perhaps you can save one byte by eliminating the parentheses: Good suggestion : STO0 √x + 1 = tan × RCL0 sin ÷ .4 = 1/x + ∏ 1/x = R/S RST (one Werner's step spare here) STO0 √x + 1 = tan 1/x EXC0 sin STO÷0 .4 STO×0 ∏ 1/x STO+0 RCL0 R/S RST (two more steps spare , but, is this still AOS logic ?) RE: HP-41 RPN program solution sought - test problem - Gene - 10-31-2021 09:17 PM
If it can be keyed on a TI-57 or TI-58C, then we will call it AOS. :-) Gene |