On 12 Aug 2014, at 15:01, Keary Suska <cocoa-...@esoteritech.com> wrote:

> 
> On Aug 12, 2014, at 1:42 AM, Dave <d...@looktowindward.com> wrote:
> 
>>> Maybe my brain isn't working correctly but that doesn't make sense to me. 
>>> Could you show the output with both x and y shown? Now, you aren't dividing 
>>> by a negative integer, are you? I believe that is undefined…
> 
> Yes, it's my brain. I just needed to see it to make sense of it.
> 
>> I’m not doing any division, the function for “myMod” is as I posted:
> 
> Well, it is the divisor I was asking about and although you aren't interested 
> in the quotient, you are asking for division to occur.
> 
>> If you think of the number as being used as an Index into an NSArray, you 
>> can see why a true mod function is better, e.g. -1 gets you the last 
>> element, -2 the second from last and so on.
> 
> I see that you are interested in a circular index. Most of the time I find 
> myself needing a "remainder" result more than a true modulo, so I use abs(). 
> That definitely won't work when you need the true series.

Yes, this is what this thread is about. % was wrongly given the description of 
the modulus function in the 1960s/1970s and as a result of that one mis-naming 
“%” in C has been thought as a Modulus operation by a lot of people ever since 
(and it continues to be mis-described to this very day). The “%” character 
means a “remainder” not a “Modulus”, but are useful, but in this case I really 
wanted modulus. Most of the time remainder and modulus are the same thing, but 
when you introduce negative numbers remainder becomes a mirror image of the 
positive domain, where as modulus stays the same.

I’m not sure what you mean by dividing by a negative number is undefined? It 
seems to work ok for what I’m doing in another place:

NSInteger                       myIndex;
CGPoint                         myStartPoint;
CGSize                          mySize;

myStartPoint = -640;
mySize.width =  320;
myIndex = myStartPoint.x / mySize.width;

myIndex = -2 as expected.

Is that what you meant?
Dave



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