FInAT is not a tabulator.
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README.md

FInAT is not a tabulator

FInAT is an attempt to provide a more abstract, smarter library of finite elements. FInAT will supply symbolic information about the properties of individual finite elements, and will provide abstract algorithms for their evaluation. This enables FInAT to provide smart algorithms which exploit the internal structure of the element basis. The result will be a separation of concerns in which FInAT provides a single source of truth for information about the symbolic and numerical properties of finite elements. Symbolic form languages and form compilers can then exploit this information in an element-independent manner.