On Fri, Sep 2, 2016 at 7:03 AM, Jong Wook Kim <[email protected]> wrote:

> Hi,
>
> I'm using Julia 0.4.6 on OSX El Capitan, and was trying to normalize each
> column of matrix, so that the norm of each column becomes 1. Below is a
> isolated and simplified version of what I'm doing:
>
> function foo1()
>     local a = rand(1000, 10000)
>     @time for i in 1:size(a, 2)
>         a[:, i] /= norm(a[:, i])
>     end
> end
>
> foo1()
> 0.165662 seconds (117.44 k allocations: 232.505 MB, 37.08% gc time)
>
> I thought maybe the array copying is the problem, but this didn't help
> much:
>
> function foo2()
>     local a = rand(1000, 10000)
>     @time for i in 1:size(a, 2)
>         a[:, i] /= norm(slice(a, :, i))
>     end
> end
>
> foo2()
> 0.131377 seconds (98.47 k allocations: 155.921 MB, 36.66% gc time)
>
> and then I figured that this ugly one runs the fastest:
>
> function foo3()
>     local a = rand(1000, 10000)
>     @time for i in 1:size(a, 2)
>         setindex!(a, norm(slice(a, :, i)), :, i)
>     end
> end
>
> foo3()
> 0.013814 seconds (49.49 k allocations: 1.365 MB, 4.86% gc time)
>
> So I overheard a few times that plain for-loops are faster than vectorized
> code in Julia, and it seems it's allocating slightly less memory, but it's
> slower than the above.
>
> function foo4()
>     local a = rand(1000, 10000)
>     @time @inbounds for i in 1:size(a, 2)
>         n = norm(slice(a, :, i))
>         @inbounds for j in 1:size(a, 1)
>             a[j, i] /= n
>         end
>     end
> end
>
> foo4()
> 0.055522 seconds (30.00 k allocations: 1.068 MB, 15.14% gc time)
>
> Is there a solution that is faster and less uglier than foo3() and foo4()?
>
> Thinking of an equivalent implementation in C/C++, I should be able to
> write this logic without any heap allocation. Is it possible in Julia?
>

You can write it in the way you'd write it in c++ and just don't use `norm`.


>
> Thanks,
> Jong Wook
>

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