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A repository containing codes used to develop an einsum tensor construction function in Modern Fortran. The syntax is meant to mirror Numpy's einsum function.

Makefile 0.50% Fortran 99.50%

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Einsum-in-Fortran90

A repository containing codes used to develop an einsum tensor contraction function in Modern Fortran. The syntax is meant to mirror Numpy's einsum function and uses the TTGT (transpose-transpose-GEMM-transpose) scheme. The function can be called with the following syntax call einsum(string,A,B,C) where string is a string containing the indical scheme for the contraction. For instance, a regular 2D matrix multiplication between matrices A and B such that C(i,j) = A(i,k)B(k,j) can be executed as call einsum('ik,kj->ij',A,B,C). Of course, higher-order tensor contractions can be analogously defined. Currently, the einsum function only supports contractions between even-rank tensors and there is no support for complete contractions (e.g. dot products) or outer products.

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