UFL Specification and User Manual 0.3 - FEniCS Project

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5.1.1 str . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 825.1.2 repr . . . . . . . . . . . . . . . . . . . . . . . . . . . . 825.1.3 Tree formatting . . . . . . . . . . . . . . . . . . . . . . 825.1.4 L A TEXformatting . . . . . . . . . . . . . . . . . . . . . . 835.1.5 Dot formatting . . . . . . . . . . . . . . . . . . . . . . 835.2 Inspecting and manipulating the expression tree . . . . . . . . 835.2.1 Traversing expressions . . . . . . . . . . . . . . . . . . 835.2.2 Extracting information . . . . . . . . . . . . . . . . . . 845.2.3 Transforming expressions . . . . . . . . . . . . . . . . . 845.3 Automatic differentiation implementation . . . . . . . . . . . . 875.3.1 Forward mode . . . . . . . . . . . . . . . . . . . . . . . 885.3.2 Reverse mode . . . . . . . . . . . . . . . . . . . . . . . 885.3.3 Mixed derivatives . . . . . . . . . . . . . . . . . . . . . 885.4 Computational graphs . . . . . . . . . . . . . . . . . . . . . . 885.4.1 The computational graph . . . . . . . . . . . . . . . . 885.4.2 Partitioning the graph . . . . . . . . . . . . . . . . . . 91A Commandline utilities 95A.1 Validation and debugging: ufl-analyse . . . . . . . . . . . . 95A.2 Formatting and visualization: ufl-convert . . . . . . . . . . 95A.3 Conversion from FFC form files: form2ufl . . . . . . . . . . . 96
B Installation 97B.1 Installing from source . . . . . . . . . . . . . . . . . . . . . . . 97B.1.1 Dependencies and requirements . . . . . . . . . . . . . 97B.1.2 Downloading the source code . . . . . . . . . . . . . . 98B.1.3 Installing UFL . . . . . . . . . . . . . . . . . . . . . . 99B.1.4 Running the test suite . . . . . . . . . . . . . . . . . . 100B.2 Debian (Ubuntu) package . . . . . . . . . . . . . . . . . . . . 100C License 101
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Page 3 and 4: ContentsAbout this manual 111 Intro
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Page 7: 4 Internal Representation Details 7
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Bibliography[1] M. Alnæs and K.-A.
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