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Message #22609
Re: [Question #152702]: indices in an expression?
The permutation symbol should be added to UFL.
Garth
On 13/04/11 19:20, Martin Sandve Alnæs wrote:
> Python does not know anything about implicit index summation, so in your
> code e() is only called once, and reaches the else condition and thus
> returns 0.0.
>
> Similar to as_vector, you can use the as_tensor function, since you need
> three dimensions.
>
> Martin
>
> On 13 April 2011 19:04, B. Emek Abali
> <question152702@xxxxxxxxxxxxxxxxxxxxx
> <mailto:question152702@xxxxxxxxxxxxxxxxxxxxx>> wrote:
>
> New question #152702 on DOLFIN:
> https://answers.launchpad.net/dolfin/+question/152702
>
> May be a non-needed trial for some, but I try to define an
> expression (permutation symbol)
>
> def e(i,j,k):
> if (i,j,k) == (1.0,2.0,3.0): return 1.0
> elif (i,j,k) == (2.0,3.0,1.0): return 1.0
> elif (i,j,k) == (3.0,1.0,2.0): return 1.0
> elif (i,j,k) == (3.0,2.0,1.0): return -1.0
> elif (i,j,k) == (2.0,1.0,3.0): return -1.0
> elif (i,j,k) == (1.0,3.0,2.0): return -1.0
> else: return 0.0
>
> and use (with summation over indices, it is a curl operator
> contracted with w) in the form like
>
> f=v[j]*w[i]*e(i,j,l)*v[l]*dx
>
> which raises:
> ufl.log.UFLException: Trying to integrate expression of rank 0 with
> free indices
>
> Do I have to use as_vector(...) type definition to sum with indices
> or is there a nice possibility to let it sum over the arguments of
> e(...) expression?
>
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