You can redefine the \ operator for your type to not do this.

On Thursday, February 20, 2014 6:08:31 PM UTC-6, andrew cooke wrote:
>
>
> While I still don't see a problem with the theory side of this, there is a 
> practical problem - Gaussian Elimination in Julia seems to be delegated to 
> LAPACK and arguments are promoted to Float:
>
> julia> [1 0; 0 1] \ [1, 2]
> 2-element Array{Float64,1}:
>  1.0
>  2.0
>
> Andrew
>
>
> On Thursday, 20 February 2014 19:45:28 UTC-3, andrew cooke wrote:
>>
>>
>> A broad and a narrow question...
>>
>> If Julia supports the definition of new integer types can I define a new 
>> type for a finite field and then use existing linear algebra libraries to 
>> do maths with them?  Could I define an integer type for polynomials?  Is 
>> this the kind of thing that would work in theory but not in practice?  Has 
>> anyone done this?
>>
>> Specifically, I need to solve a problem modulo 2 (GF(2) - addition and 
>> subtraction are XOR; multiplication is AND; division is trivial).  I was 
>> about to write my own Gaussian Elimination and then remembered a comment 
>> from here saying Julia is the first language where you can define new 
>> integers...
>>
>> Am I talking rubbish?  I'm not a mathematician, so I may be completely 
>> muddled anyway.
>>
>> Thanks,
>> Andrew
>>
>> PS I guess for best speed I should use a Uint for my 0s and 1s?  Assuming 
>> the problem is small enough that it will still fit in cache?
>>
>

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