that slows it down by a factor of 5

On Wednesday, August 10, 2016 at 2:37:25 PM UTC-4, Bill Hart wrote:
>
> How about compared with:
>
> ntuple(i -> a[i] + b[i], Val{N})
>
>
> On 10 August 2016 at 20:32, Jeffrey Sarnoff <jeffrey...@gmail.com 
> <javascript:>> wrote:
>
>> Bill,
>>
>> Following Eric's note, I tried (with a,b equi-length tuples)
>> function addTuples(a,b)
>>     ca = CartesianIndex(a)
>>     cb = CartesianIndex(b)
>>     return (ca+cb).I
>> end
>>
>>
>> for me, with 100 values it ran ~60% faster, and with 1000 values much 
>> much faster than  
>>  ntuple(i -> a[i] + b[i], N)
>>
>>
>>
>> On Wednesday, August 10, 2016 at 11:06:46 AM UTC-4, Bill Hart wrote:
>>>
>>> This code seems to be (about 50%) faster than recursive functions:
>>>
>>> Base.:+{N}(a::NTuple{N}, b::NTuple{N}) = ntuple(i -> a[i] + b[i], N)
>>>
>>>
>>> But this seems (about 50%) slower:
>>>
>>>  ((a[i] + b[i] for i = 1:N)...)
>>>
>>>
>>> Anyway, I can use the first method, until I find something faster. It's 
>>> definitely way more convenient. Thanks.
>>>
>>> Bill. 
>>>
>>>
>>>
>>> On 10 August 2016 at 16:56, Erik Schnetter <schn...@gmail.com> wrote:
>>>
>>>> The built-in type `CartesianIndex` supports adding and subtracting, and 
>>>> presumably also multiplication. It is implemented very efficiently, based 
>>>> on tuples.
>>>>
>>>> Otherwise, to generate efficient code, you might have to make use of 
>>>> "generated functions". These are similar to macros, but they know about 
>>>> the 
>>>> types upon which they act, and thus know the value of `N`. This is a bit 
>>>> low-level, so I'd use this only if (a) there is not other package 
>>>> available, and (b) you have examined Julia's performance and found it 
>>>> lacking.
>>>>
>>>> I would avoid overloading operators for `NTuple`, and instead us a new 
>>>> immutable type, since overloading operations for Julia's tuples can have 
>>>> unintended side effects.
>>>>
>>>> -erik
>>>>
>>>>
>>>> On Wed, Aug 10, 2016 at 9:57 AM, 'Bill Hart' via julia-users <
>>>> julia...@googlegroups.com> wrote:
>>>>
>>>>> Does anyone know an efficient way to add NTuples in Julia?
>>>>>
>>>>> I can do it using recursive functions, but for various reasons this is 
>>>>> not efficient in my context. I really miss something like tuple(a[i] + 
>>>>> b[i] 
>>>>> for i in 1:N) to create the resulting tuple all in one go (here a and b 
>>>>> would be tuples).
>>>>>
>>>>> The compiler doesn't do badly with recursive functions for handling 
>>>>> tuples in very straightforward situations, but for example, if I want to 
>>>>> create an immutable type based on a tuple the compiler doesn't seem to be 
>>>>> able to handle the necessary optimisations. At least, that is what I 
>>>>> infer 
>>>>> from the timings. Consider
>>>>>
>>>>> immutable bill{N}
>>>>>    d::NTuple{N, Int}
>>>>> end
>>>>>
>>>>> and I want to add two bill's together. If I have to add the tuples 
>>>>> themselves using recursive functions, then I no longer seem to be able to 
>>>>> do something like:
>>>>>
>>>>> A[i] = B[i] + C[i] efficiently, where A, B and C are arrays whose 
>>>>> elements are of type bill.
>>>>>
>>>>> I know how to handle tuples via arrays, but for efficiency reasons I 
>>>>> certainly don't want to do that, e.g. tuple([a[i] + b[i] for i in 
>>>>> 1:N]...).
>>>>>
>>>>> Bill.
>>>>>
>>>>
>>>>
>>>>
>>>> -- 
>>>> Erik Schnetter <schn...@gmail.com> 
>>>> http://www.perimeterinstitute.ca/personal/eschnetter/
>>>>
>>>
>>>
>

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