Of course John, the reason you can do the sum of 1-200 in your head is 
thanks to Gauss's formula, I'm assuming you're not really recursing 200 
times in your head :)

Love your blog too BTW, especially your style of presentation and the types 
of things you write about (i.e. non-trivial but still widely interesting).

On Tuesday, September 24, 2013 5:12:19 AM UTC+10, John Lawrence Aspden 
wrote:
>
> James, it will generate a stack overflow on a sufficiently large problem, 
> certainly.
>
> Most of the cases where recursions are a good idea are order (n^2) and 
> worse algorithms, though, so the question is rather 'will the stack 
> overflow before the heap is exhausted or the processor catches fire?'.
> There are usually ways of dealing with cases where the recursion is just 
> an iteration.
>
> A stack depth of 1000000 should be livable with. A stack depth of 200 
> means the machine has trouble with problems I can do in my head.
>
> Cheers, John.
>
>
>
> On Monday, September 23, 2013 12:50:28 AM UTC+1, James Reeves wrote:
>>
>> On 23 September 2013 00:28, John Lawrence Aspden 
>> <asp...@googlemail.com>wrote:
>>
>>> Nice, but it won't work for me, since I'm trying to avoid computing all 
>>> the values in the table, and so I can't use the pump-priming approach. I 
>>> don't know what values I'm going to need primed!
>>> I'm sure there are ways round it, but I think they're all complicated 
>>> and ugly. 
>>>
>>> I think I'll translate my program into python, where presumably it will 
>>> just work. Or actually you've reminded me about Racket. I used to like that 
>>> when it was PLT scheme.
>>>
>>
>> As far as I can tell, the code you have will generate a stack overflow in 
>> any language. It's not tail recursive, and the first time you run the 
>> function it can't draw from the cache.
>>
>> - James
>>
>

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