On Dec 16, 2012, at 5:33 PM, Frank Shearar wrote:

> On 16 December 2012 16:19, Nicolas Cellier
> <[email protected]> wrote:
>> Beware, Range exists in other languages (python, etc..).
>> We should check if they correspond to a Smalltalk Interval or a
>> mathematical Interval.
>> If they correspond to a Smalltalk Interval, that will be one more
>> un-necessary trap.
> 
> Certainly in Ruby a range is like a Smalltalk Interval: (1..10) is the
> same as 1 to: 10.

can they do not real intersection with 
        ] [ and [ ]

stef
> 
>> Note that we rarely use Interval, we just use #to: or #to:by:, so we
>> could as well rename Interval->Range.
>> And postpone creation of Mathematical Interval which is most likely
>> unused in kernel image.
> 
> Indeed, I think it's clear the confusion around this class is as Igor
> says: a mathematical interval, or a set of contiguous integers (or
> other countable things).
> 
> frank
> 
>> Nicolas
>> 
>> 2012/12/16 Stéphane Ducasse <[email protected]>:
>>> I agree so we should introduce Range.
>>> Did not you or camillo started to have Range?
>>> It can be a really nice class.
>>> 
>>> Stef
>>> On Dec 16, 2012, at 4:55 PM, Igor Stasenko wrote:
>>> 
>>>> So, to my sense a behavior of Interval is overloaded..
>>>> it tries to be too many things at once:
>>>> - be an interval in math sense (which is infinite set if used for Real 
>>>> numbers)
>>>> - be a "collection" of numbers which you can enumerate (implies that
>>>> it is finite).
>>>> 
>>>> to me, i would be much happier if we could have two different and
>>>> non-intersecting entities:
>>>> 
>>>> - Enumeration. This one indeed can be used as a collection. i.e.
>>>> "give me all integer numbers lying between values A and B, count each
>>>> C-th number"
>>>>  Like that,
>>>>  (1 to: 1.5 by: 1) is enumeration which contains a single element.
>>>> and #last should be = 1
>>>> 
>>>> - Interval (Range). A pure interval in math sense:  defines a Set of
>>>> numbers lying between numbers A and B, inclusive, where A <= B. Not
>>>> enumerable, therefore no 'step' variable, instead what it could have,
>>>> is flags to indicate whether interval endpoints included into interval
>>>> or not.. i.e. (a,b) vs [a,b] vs [a,b) vs (a,b].
>>>> 
>>>> Not supporting enumeration (no #do: , no #add: no #at: etc). You can,
>>>> however intersect, merge or diff two intervals etc.. same operations
>>>> which you doing on sets (but that would require another entity -
>>>> interval set). And of course, you can test whether some number lies
>>>> within given interval or not.
>>>> 
>>>> The reason i started this topic is because some code were using
>>>> 'range' for variables which holding intervals..
>>>> Now what you think is more appropriate protocol for something called
>>>> 'range', this:
>>>> 
>>>> x := range first
>>>> y := range last
>>>> 
>>>> or this:
>>>> 
>>>> x := range start
>>>> y := range end
>>>> 
>>>> 
>>>> --
>>>> Best regards,
>>>> Igor Stasenko.
>>>> 
>>> 
>>> 
>> 
> 


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