On Sat, 07 Aug 2010 13:48:32 +0200, News123 wrote:
>> "Common sense" is wrong. There are many compelling advantages to
>> numbering from zero instead of one:
>>
>> http://lambda-the-ultimate.org/node/1950
>
> It makes sense in assembly language and even in many byte code languages.
> It makes sense if you look at the internal representation of unsigned
> numbers (which might become an index)
It also makes sense mathematically. E.g. for an MxN array stored as a
1-dimensional array, the element a[j][i] is at index
j * N + i
with zero-based indices but:
(j-1) * N + (i-1) + 1
= j * N + i - N
with one-based indices.
IOW, if a language uses one-based indices, it will inevitably end up
converting to and from zero-based indices under the hood, and may end up
forcing the user to do likewise if they need to do their own array
manipulation.
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