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Why do arrays start at 0?

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Re: Why do arrays start at 0?

#221

Earlier quoted context omitted.

A disadvantage comes to mind. While the following loop works as expected: for (size_t i = 0; i The following causes an unsigned integer underflow and is an infinite loop: for (size_t i = length - 1; i >= 0; i--) ...

for (size_t i = 0; i EDIT: change i to j

You should save the old value of i somewhere and restore it back at the very end of the loop. Or simply define a new j like another comment says.

Re: Why do arrays start at 0?

#222

Earlier quoted context omitted.

Typical counting of things starts from 0. If you count apples you implicitly start at zero and add 1 for each apple. If you count age, you start at birth (0) and count years; one for each birthday. That isn't zero based. The difference is the index of the item between the starting point and the next item. In zero based this item is number 0, in one based, this item is number 1. The first year of life is generally con…

>If you count age, you start at birth (0) and count years; one for each birthday. nitpick: unless you were born on Feb 29.

I just dealt with this problem(how to store periodic events(including birthdays)). It is a surprisingly difficult problem. After reading up on postgres interval types my latest attempt uses them to store events, where a per year event(like a birthday) is stored as "2 months 15 days". it turns out the postgres project has put quite a bit of thought into making interval types work as expected with regards to months, not an easy task when you consider how difficult it is to treat dates mathematically.

The nice part is that now February 29 "just works" the downside is the impedance between how months and days are numbered and a how an offset from the epoch(beginning of the year) is defined. January 3rd(1-3) is stored as "0 months 2 days" as when it hits, 0 months have passed and 2 days have passed.

So the specific case of February 29 hits when 1 month has passed and 28 days have passed. 3 years out of 4 this will be the same as "2 months 0 days"(3-1) but every forth year this will be(2-28). As an aside, and the specific reason I went with interval types, every event past feburary 29 works just fine with or without a leapyear, that is, the extra day in the middle does not mess up the offset to days after it.

Honestly I curse a little as I wish months and days were 0-based. At least clocks get this right, almost, 12 hour clocks are a special breed of stupid. start at 12, then go to 1 and proceed up to 11. 24 hour clocks properly start at 0. The worst part about 12 hour clocks is that it is almost correct, replace the 12 with a 0 and it every thing be the same but now it makes sense from a moduler math point of view.

A special curse is reserved when I think about how there is no year zero. https://www.postgresql.org/docs/13/functions-datetime.html#F...

Re: Why do arrays start at 0?

#223

Earlier quoted context omitted.

Yes, but "human-focused" 1-based indexing comes at a cost since at the end of the day the CPU has to add (index * element-size) to the array base address to get the address of the indexed element. With a 1-based index there's additional overhead in either having to subtract 1 from the index or to have a wasted "element 0" to avoid the need to do that.

I assure you, that if we counted from zero, there would be an instruction to add and multiply in the same number of cycles as a multiply.

That's not possible - the subtract and multiply need to be consecutive (adjust index before multiply by element size), so even if it was a single instruction it would still take longer than a multiply that didn't have to wait for a preceding subtraction.

The only way to avoid the speed penalty would be either to have a wasted element at offset 0, or to maintain the array base address as (address - (1 * element-size)) to avoid having to subtract 1 from the index when accessing. In the latter case for dynamically allocated arrays the code would still have to do a subtraction to adjust the pointer returned by the memory allocator, but at least that would be a 1-time penalty rather than per-element-access.

Of course this is supposing a high level language where an array is abstraction, not one explicity aliased to a chunk of memory such as C where an array and a pointer to it's first element are interchangeable.

Re: Why do arrays start at 0?

#224
post #166
post #95

Earlier quoted context omitted.

That's why I prefer the Superior(TM) Korean age counting. You are one year old when you're born (it's your first year!). You are two year old on the next New Year's day. (Congratulations, it's your second your now!) So, if you're born on December 31st, you're two years old the next day. (I see no problem, but apparently some people are hung up on such minor details. I can't fathom why.)

> You are one year old when you're born (it's your first year!) That makes no sense to me. It's also your first century. Does that make you one century old? Of course not! The moment you're born, you're not even one hour old, let alone one day.

They must like rounding up. I guess it depends how they refer to it in their language. If it's "he's in his 1st year", that's a big difference from, "he's 1 year old". I'm wondering if the parent comment simply doesn't know Korean or only knows it somewhat to misconstrue the culture behind this.

It could be though that Korea simply never encountered the Mayan or Arabic civilizations as most did encounter one of those two in history, who are famously known to have independently discovered the concept of zero.

Birth of an array can only logically be defined as index zero, the same as a child. The concept of zero was not universal globally and Korea is pretty isolated.

Re: Why do arrays start at 0?

#225

Earlier quoted context omitted.

A disadvantage comes to mind. While the following loop works as expected: for (size_t i = 0; i The following causes an unsigned integer underflow and is an infinite loop: for (size_t i = length - 1; i >= 0; i--) ...

In that specific case I'd do the following: for (size_t i = n; i-- > 0 ;) ... Or count from `length` to 1, but subtract 1 in the loop body, or count up and subtract the length in the loop body. Any modern compiler should be able to optimise these to be equivalent. In the majority of cases, counting down is not necessarily. Nor is ordered iteration. Most languages have a `for each` style syntax that's preferable anywa…

Or alternatively:

  size_t i = length;
  while (i--) ...

Re: Why do arrays start at 0?

#226
post #40

Dijkstra's answer (linked in the article) is best: "When dealing with a sequence of length N, the elements of which we wish to distinguish by subscript, the next vexing question is what subscript value to assign to its starting element. Adhering to convention a) yields, when starting with subscript 1, the subscript range 1 ≤ i https://www.cs.utexas.edu/users/EWD/transcriptions/EWD08xx/E...

It could just as easily be 1 ≤ i ≤ N and then I wouldn't have to remember that the lower bound is inclusive and the upper exclusive.

Re: Why do arrays start at 0?

#227

It really comes down to a choice between a machine-focused (0) or human-focused (1) approach. The 0 makes a lot of sense in a C pointer world where memcpy and other alike functions can be written very thight. The 1 makes a lot of sense in a human world, when we count, we start at 1, we talk about the "1st", counting on finger starts with 1, etc. I once were at a Lua (1 indexed language) conference where this was disc…

There are a lot of cases where a zero index makes sense. In physics and math there are cases where you start the index at 0 and others where you start at 1. And even some where you start at -1. Which you use depends on what is most convenient for the problem at hand.

Re: Why do arrays start at 0?

#228
post #95

Earlier quoted context omitted.

> when we count, we start at 1, we talk about the "1st" Although often with an implicit zero. Under typical North American culture, your 1st birthday, for example, is more accurately the first anniversary of your birthday. Your birth is zero indexed.

That's why I prefer the Superior(TM) Korean age counting. You are one year old when you're born (it's your first year!). You are two year old on the next New Year's day. (Congratulations, it's your second your now!) So, if you're born on December 31st, you're two years old the next day. (I see no problem, but apparently some people are hung up on such minor details. I can't fathom why.)

There's nothing wrong with the definition per se, but there's the question of what purpose you're putting it to. We should expect more similarity from two "newly 2" children with the "western" system than the Korean one.

Re: Why do arrays start at 0?

#230
post #45

Other advantages of zero based indexing, beyond being 'closer to the machine': It works better with the modulo operator: `array[i%length]` vs `array[(i+length-1)%length+1]`. Or you would have to define a modulo-like operator that maps ℕ to [1..n]. It works better if you have a multi-dimensional index, for example the pixels in an image. With 0 based indexing, pixel `(x,y)` is at `array[x+width y]`. With 1 based index…

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