Do concurrent: can loop variable be specified in `local`?

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I think if default (none) clause is not used then it can be used as default private. Here in your code

  1. default private
do concurrent (j = 1:Ny) shared(image) local(i, j, x, y, x_0, y_0, x_sqr, y_sqr, n)

it is private by default. But in the second case it should be explicitly declared in the local

  1. default none
do concurrent (j = 1:Ny) default (none) shared(image) local(i, j, x, y, x_0, y_0, x_sqr, y_sqr, n)