[eigen] Returning Tensor Expressions

["Wood, Tobias" <tobias.wood@xxxxxxxxx>]

Hello,

 

I am trying to write a finite difference function for Eigen::Tensors. Currently I am using a lambda:

 

auto diff = [](Eigen::Tensor<std::complex<float>, 3> const &a, Eigen::Index const d) {

  Dims3 const sz{a.dimension(0) - 2, a.dimension(1) - 2, a.dimension(2) - 2};

  Dims3 const st1{1, 1, 1};

  Dims3 fwd{1, 1, 1};

  Dims3 bck{1, 1, 1};

  fwd[d] = 2;

  bck[d] = 0;

 

  return (a.slice(fwd, sz) - a.slice(bck, sz)) / a.slice(st1, sz).constant(2.f);

};

 

This works okay. However, I would like to do two things:

 

1 – Change this from a lambda into a free function. What should the return type of the function be, so that it returns the _expression_/operation and does not evaluate the tensor into a temporary?

2 – I would prefer to pass in a TensorRef, so I can pass in a .chip() from a 4D tensor without a temporary. When I try to do this with the current lambda, and I am assigning to a slice, e.g.

 

b.chip<3>(0).slice(st1, sz) = diff(a, 0);

 

I get the following error:

 

TensorRef.h:413:51: error: cannot initialize return object of type 'Eigen::TensorEvaluator<const Eigen::TensorRef<Eigen::Tensor<std::__1::complex<float>, 3, 0, long> >, Eigen::ThreadPoolDevice>::Scalar *' (aka 'std::__1::complex<float> *') with an rvalue of type 'const Eigen::TensorRef<Eigen::Tensor<std::__1::complex<float>, 3, 0, long> >::Scalar *' (aka 'const std::__1::complex<float> *')

 

This appears to be complaining that I can’t assign a `const std::complex<float> *` to a `std::complex<float> *`?

 

Thanks in advance,

Toby