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Expressions as Functions API #148

Description

@ratnania

Up to now, we were allowing expression (using the coordinates) to be passed directly in the weak formulation.
We encountered two major problems with this approach

  • sometimes an error is raised because we cannot check the linearity/bilinearity of a form.
  • it may make the code very slow

This issue aims at allowing the definition of a Function, as a container, for two major uses;

  • by providing its symbolic expression. example,
F = Function((x,y), x**2+y**2)

in which case, F will not appear as a free-variable, and its expression will be provided in TerminalExpr like in the valued Constant case.

  • by providing its actual implementation, meaning, providing a Python code. In this case, the code must be pyccelized first to check that it can be used in our pipeline with psydac.

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