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use transformation operators to allow more general transformations

Jannik Michelfeit requested to merge dev-bary-matrices into dev

this replaces the previously assumed array format. dealing with issue #1 (closed).

barycentric transformations are being represented by their own operator classes (depending on the transformation format in use).

NOTE: all current tests are passing

NOTE: decided for the name "transformation operator". "transformation matrix" would be misleading and not general enough since e.g. the barycentric transformation are not (really) matrices.

remaining TODOs: (created separate issues for this)

  • chaining multiple operators elegantly (especially the barycentric trafos, currently workaround with MatrixOp(a.to_array() @ b.to_array())
  • functionality for inverting operators. discuss usefulness
  • module structure: barycentric fcts, operators and trafo matrix computation fcts are scattered in multiple modules -> clean up
  • decide upon the fate of the MultiIndexTree class
Edited by Jannik Michelfeit

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