World: r4wp

Andreas - the problem I have with ordinals is how do you do mathematics 
on them eg. 3 + -3rd ? Index manipulation uses ingteger! and so is 
mathematically modifiable

Anyway - good luck Doc on sorting this one out - and thanks again 
for doing Red it is very exciting

I like Andreas' proposal

Ken, re maths for ordinals: just a matter of how you want to define 
it.

-3rd + 3 == 1st

1st -1 = -1st, -1st + 1 = 1st, 1st + 0 = 1st

The more interesting question is how ordinals map to integers :) 
That basically requires a decision of how you want to do indexing 
with integers, then it's easy as well.

One possibility. Another would be to have ordinals purely as syntactic 
convenience, and not allow arithmetics with them.

Ok - thanks for the clarification Andreas - that makes sense now. 
I think maths usage would be essential for use cases such as the 
one Brian put forward - he mentioned at least addition and modulo.

Anyway - I have shared what I felt I needed to say. I will now leave 
it to the guru's to decide the way forward on this matter. My knowlege 
of Rebol is not sufficient to push any particular solution.

It's just a dialect for going in the opposite direction

 - it is not, in fact. (PICK SERIES INDEX) is just an evaluation of 
 a function, not a "dialect"

I don't buy the 

no right" argument. Romans had subtraction without 0. It was a bad 
idea, but it was possible." Yes, but -1 is not "subtraction", it 
is a value.

Now, try to come up with a way to explain to newbies that this phantom 
hole in a series makes sense, or is a good idea.

 - yes, a good illustration from a beginner/documentation/education 
 POV. Also, what is exactly as bad even for experienced users is that 
 it disrespects arithmetic making simple index arithmetic (ADD INDEX 
 OFFSET) not usable.

...it means that 0 doesn't exist, like we're programming in Roman.

 - again, a cute formulation. I bet that there is no "programming 
 in Roman", the word "algorithm" is from the world where 0 does exist.

Kensingleton: thank you very much for your inputs. Having different 
point of view is helpful.

It's just a dialect for going in the opposite direction" - it is 
not, in fact. (PICK SERIES INDEX) is just an evaluation of a function, 
not a "dialect""

False. PICK SERIES INDEX is usually evaluated as DO dialect. It could 
also be evaluated as any other dialect

SERIES/-1 is not even function evalutation in the DO dialect, it's 
path evaluation

Also, what is exactly as bad even for experienced users is that it 
disrespects arithmetic making simple index arithmetic (ADD INDEX 
OFFSET) not usable.


I guess you're not talking about R2, which index arithmetic has proven 
to be very usable in last twelve years (at least) through countless 
*working* user apps.

My Understanding of Series:
A contiguous collection of boxes sequentially 
numbered in ascending order starting at 1.

 - this is correct only for series I would call "Head Series", i.e. 
 such series that are their own heads.

Agreed, "not usable" is a little harse. Bad and awkward, but once 
you work around that it is usable.

harse -> harsh

I guess you're not talking about R2, which index arithmetic has proven 
to be very usable in last twelve years (at least) through countless 
*working* user apps.

 - "working" are only the ones limiting the index arihmetic to some 
 special cases. Those not limiting themselves to such cases are not 
 working.

You actually have that you have to work around it, otherwise R2 will 
bite you hard (and silently).

... have to know* that you have to work around it ...

You actually have that you have to work around it, otherwise R2 will 
bite you hard (and silently).

 - yes, "you have to work around it" is (for me) a different formulation 
 equivalent to "not working"

I am able to do any work-arounds necessary at any time. However, 
I prefer to use a working solution.

Knowing Carl's preferences, I did not insist on switching to 0-based 
indexing. However, for the sake of arithmetic, I at least convinced 
him to switch to "continuous indexing".

Here is a task I consider relevant:


1) define a function obtaining a series S and an index I and yielding 
an index J such that PICK S I would be equivalent to PICK HEAD S 
J
1a) do the task in R2
1b) do the task in R3
1c) do the task in R4 with zero-based indexing

This is my solution of 1c):

head-index?: func [s [series!] i [integer!]] [i + index? s]

(that is what I call "working index arithmetic")

This is my solution of 1b):

head-index?: func [s [series!] i [integer!]] [i - 1 + index? s]

(again, a case of "working index arithmetic")

(although a bit more complicated than the 1c case)

1a) is a task for people stating that "zero does not exist"

...and also for people stating that "index arithmetic *is* working 
in R2"

Note that the difference between 1c) and 1b) seems to demonstrate 
why 0-based indexing may be found more convenient than 1-based indexing

I know this would be consiidered a "workaround" but

head-index?: func [s i] [i - (index? head s) + (index? s)]

Testing your implementation with:

1 = index? head s
0 = i
2 = index? s

i get:

1 = head-index? s i

, which is incorrect

(your solution is actually 1b, not 1a)

It would work for 1c too.

yes

(but in any of those cases my solutions are simpler)

In REBOL, we have an important design rule to optimise for the common 
case. Your exercise is contrived, while R2 still optimises for the 
common cases

OK, for Kaj: I do not insist the solution has to be "optimized".

just working
 will be OK

Another case of the common case is that Red's intended common audience 
is common people, not mathematicians. While R3 "works" for mathematicians, 
R2 is the one that works for common people

So, if we consider Peter Wood a "common man"(no offense intended), 
do you state that his solution works?

I already stated I'm not talking about your mathematical exercise, 
but about common programming patterns in REBOL, such as series/-1

OK, so you feel offended that Peter considered my exercise worth 
trying?