WP 34S --> WP 31S
04-05-2014, 07:15 PM
Post: #269
 supernumero Junior Member Posts: 27 Joined: Jan 2014
RE: WP 34S --> WP 31S
(04-04-2014 08:46 AM)walter b Wrote:
(04-04-2014 08:00 AM)Paul Dale Wrote:  I'd prefer an unlimited stack
An unlimited stack has a significant drawback: there's no top level which can be repeated. IMHO, 8 levels are a nice practical compromise connecting the best of two worlds.

Okay, this may be a radical suggestion, but I have given it some thought and I think it would be marvelous. So here it goes.

The convenience of the top-level-replication is largely (or exclusively) due to the following fact: when levels y,z,t (or y,z,t,a,b,c,d) have the same value (probably different from x), and if any binary operation (let us say multiplication y*x) is performed on x & y, then the answer y*x is placed in x, while y stays unchanged.

In fact, some binary operations such as Delta% and %T (percentage of total) have standard RPN implementations that put the answer in x while leaving y undisturbed, because this is often more convenient.

The same behavior is very useful in other contexts, precisely when top-level-replication comes in handy.

How could these advantages be realized without top-level-replication? Well, they could easily be achieved if we could "force" a binary operation such as multiplication * to behave in the manner that Delta% or %T behave. Therefore, corresponding to, say, ordinary multiplication * there should be a different binary operation # that, applied to the stack, leaves y unchanged while placing the product y*x in x.

For instance, Horner's algorithm to evaluate pz^2 + qz + r would read

Code:
 z [ENTER] p [ENTER] # q + # r +

This will leave the answer in x and the original value r in y.

Internally, every regular binary operation such as +, -, *, / , ^, etc, would have a counterpart that leaves y undisturbed. More esoteric functions such as nCr (combinations) may perhaps not be worth the effort of being given a counterpart.

The trick would be using the regular operation * as well as # in a sensible manner in practice. Here I offer some ideas:

A semi-long press of the * key (say, at least 0.5s but less than 1s) would call the function # instead of * (while >1s would NULL).

An alternative idea is using flags. There could be a single flag that changes the default behavior of binary operations to act as I have explained. A much better idea would be having a separate flag for each operation. A simple SF* or CF* would enable or disable the new behavior for the multiplication operation *. Perhaps even better, pressing the corresponding key * for 0.5s would have the effect of *toggling* the flag, so subsequent uses of the key would have the opposite behavior. There could also be a global flag disabling this new behavior to avoid confusing users unfamiliar with it.

For me, the motivation is to have a uniform way to deal with all binary functions that may or may not leave y undisturbed at the user's choice. Perhaps these ideas can materialize in the 43s, which I would absolutely rather have an infinite-height stack---the lack of top-level replication seems a weak argument to have a fixed-height stack.

SuperNumero
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 Messages In This Thread WP 34S --> WP 31S - walter b - 01-30-2014, 09:11 PM RE: WP 34S --> WP 31S - Paul Dale - 01-30-2014, 10:36 PM RE: WP 34S --> WP 31S - Jonathan Cameron - 01-30-2014, 10:45 PM RE: WP 34S --> WP 31S - walter b - 01-31-2014, 07:57 AM RE: WP 34S --> WP 31S - walter b - 01-31-2014, 09:53 PM RE: WP 34S --> WP 31S - Jonathan Cameron - 01-31-2014, 10:40 PM RE: WP 34S --> WP 31S - walter b - 02-01-2014, 08:48 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 02-01-2014, 09:01 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 02-01-2014, 06:56 PM RE: WP 34S --> WP 31S - Didier Lachieze - 01-30-2014, 11:05 PM RE: WP 34S --> WP 31S - walter b - 01-31-2014, 06:14 AM RE: WP 34S --> WP 31S - Didier Lachieze - 01-31-2014, 07:23 AM RE: WP 34S --> WP 31S - Paul Dale - 01-31-2014, 08:09 AM RE: WP 34S --> WP 31S - Paul Dale - 01-31-2014, 08:31 AM RE: WP 34S --> WP 31S - walter b - 01-31-2014, 08:41 AM RE: WP 34S --> WP 31S - Paul Dale - 01-31-2014, 09:44 AM RE: WP 34S --> WP 31S - walter b - 01-31-2014, 10:00 AM RE: WP 34S --> WP 31S - d b - 01-31-2014, 10:19 PM RE: WP 34S --> WP 31S - Jonathan Cameron - 01-31-2014, 10:49 PM RE: WP 34S --> WP 31S - walter b - 02-01-2014, 09:02 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 02-01-2014, 09:08 AM RE: WP 34S --> WP 31S - walter b - 02-01-2014, 09:12 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 02-01-2014, 09:27 AM RE: WP 34S --> WP 31S - walter b - 02-01-2014, 10:05 AM RE: WP 34S --> WP 31S - Gene - 02-01-2014, 03:56 AM RE: WP 34S --> WP 31S - walter b - 02-01-2014, 09:07 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 02-01-2014, 09:29 AM RE: WP 34S --> WP 31S - walter b - 02-01-2014, 10:10 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 02-01-2014, 06:59 PM RE: WP 34S --> WP 31S - Paul Dale - 02-01-2014, 10:24 AM RE: WP 34S --> WP 31S - Gene - 02-01-2014, 01:52 PM RE: WP 34S --> WP 31S - walter b - 02-01-2014, 04:06 PM RE: WP 34S --> WP 31S - Gene - 02-01-2014, 06:01 PM RE: WP 34S --> WP 31S - Jeff O. - 02-01-2014, 11:25 PM RE: WP 34S --> WP 31S - 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Paul Dale - 03-04-2014, 10:17 PM RE: WP 34S --> WP 31S - walter b - 03-05-2014, 04:46 AM RE: WP 34S --> WP 31S - Harald - 03-05-2014, 08:46 AM RE: WP 34S --> WP 31S - walter b - 03-05-2014, 09:06 AM RE: WP 34S --> WP 31S - Sanjeev Visvanatha - 03-04-2014, 11:01 PM RE: WP 34S --> WP 31S - Harald - 03-05-2014, 08:21 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 03-05-2014, 04:47 AM RE: WP 34S --> WP 31S (current state of the black art) - walter b - 03-08-2014, 09:50 AM RE: WP 34S --> WP 31S - walter b - 03-09-2014, 10:21 AM RE: WP 34S --> WP 31S (more black art) - walter b - 03-11-2014, 07:45 AM RE: WP 34S --> WP 31S - Harald - 03-11-2014, 11:06 AM RE: WP 34S --> WP 31S - Paul Dale - 03-11-2014, 11:52 AM UNDO FROM WP 31S TO WP 34S? - anetzer - 03-26-2014, 01:40 PM RE: WP 34S --> WP 31S - Jonathan Cameron - 03-26-2014, 02:20 PM RE: WP 34S --> WP 31S - walter b - 03-26-2014, 02:22 PM RE: WP 34S --> WP 31S - walter b - 03-11-2014, 11:55 AM RE: WP 34S --> WP 31S - Gene - 03-11-2014, 03:20 PM RE: WP 34S --> WP 31S - 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Paul Dale - 03-29-2014, 10:49 PM RE: WP 34S --> WP 31S - jebem - 03-29-2014, 09:32 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 03-29-2014, 09:38 AM RE: WP 34S --> WP 31S - jebem - 03-29-2014, 10:30 PM RE: WP 34S --> WP 31S - Jonathan Cameron - 03-31-2014, 05:52 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 04-02-2014, 02:20 AM RE: WP 34S --> WP 31S - Jeff O. - 04-02-2014, 01:44 PM RE: WP 34S --> WP 31S - Jonathan Cameron - 04-02-2014, 05:38 PM RE: WP 34S --> WP 31S - Paul Dale - 04-02-2014, 09:47 PM RE: WP 34S --> WP 31S - Jeff O. - 04-03-2014, 12:51 AM RE: WP 34S --> WP 31S - Paul Dale - 04-03-2014, 03:43 AM RE: WP 34S --> WP 31S - walter b - 04-03-2014, 09:34 AM RE: WP 34S --> WP 31S - Paul Dale - 04-03-2014, 09:29 PM RE: WP 34S --> WP 31S - BarryMead - 04-03-2014, 10:11 PM RE: WP 34S --> WP 31S - Paul Dale - 04-04-2014, 12:26 AM RE: WP 34S --> WP 31S - Paul Dale - 04-04-2014, 01:12 AM RE: WP 34S --> WP 31S - Sanjeev Visvanatha - 04-04-2014, 01:14 AM RE: WP 34S --> WP 31S - Jonathan Cameron - 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walter b - 04-10-2014, 05:43 PM RE: WP 34S --> WP 31S - Jonathan Cameron - 04-10-2014, 05:48 PM RE: WP 34S --> WP 31S (layout mod) - Manolo Sobrino - 04-12-2014, 03:39 PM RE: WP 34S --> WP 31S - walter b - 04-12-2014, 08:30 PM RE: WP 34S --> WP 31S - Thomas Klemm - 04-12-2014, 09:39 PM RE: WP 34S --> WP 31S - Manolo Sobrino - 04-12-2014, 10:12 PM RE: WP 34S --> WP 31S - walter b - 04-13-2014, 05:25 AM RE: WP 34S --> WP 31S - Manolo Sobrino - 04-13-2014, 08:32 AM RE: WP 34S --> WP 31S - walter b - 04-13-2014, 09:35 AM RE: WP 34S --> WP 31S - Paul Dale - 04-13-2014, 10:03 AM RE: WP 34S --> WP 31S - Thomas Klemm - 04-13-2014, 10:59 AM RE: WP 34S --> WP 31S - Paul Dale - 04-13-2014, 11:10 AM RE: WP 34S --> WP 31S - Thomas Klemm - 04-13-2014, 02:19 PM RE: WP 34S --> WP 31S - Paul Dale - 04-13-2014, 09:25 PM RE: WP 34S --> WP 31S - Thomas Klemm - 04-14-2014, 01:17 AM RE: WP 34S --> WP 31S - Manolo Sobrino - 04-13-2014, 12:00 PM RE: WP 34S --> WP 31S - Paul Dale - 04-13-2014, 12:17 PM RE: WP 34S --> WP 31S - 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