(12C) Modulus

[Dieter]

(07-18-2016 10:12 PM)bshoring Wrote:  Here's a routine I wrote about a month ago. One step longer, but it uses only the stack and Last-X register.

Great. In the meantime I got exactly the same solution. Many/most other HPs offer a R↑ which can replace the three consecutive R↓, making the program even shorter.

(07-21-2016 11:36 PM)RobertM Wrote:  From "ENTER: Reverse Polish Notation Made Easy", Jean-Daniel Dodin / Keith Jarett, (pg 115):

That's a nice one as well. Here's another 10/11 step solution:

Code:

01 ENTER
02 ENTER
03 -
04 +
05 /
06 LastX
07 x<>y
08 INT
09 x
10 -
11 GTO 00 or RTN

The first four lines copy the content of Y to Z and T while X and Y are left unchanged.

However, all these solutions destroy the stack, while the version I initially posted keeps the values of Z and T. That's why it requires one data register. I wonder if it is possible to do it only with the stack, i.e. without a data register, while Z and T are still preserved.

Here's another challenge: what about returning y mod x as well as y div x (i.e. the integer quotient of y and x). There are many applications where both values are required at the same time. That's why I once suggested a DIVMOD command for the 34s that returns these two values.

Now, what do you think ?-)

Dieter