Term graphs for computing derivatives in imperative languages.

*(English)*Zbl 1278.68042
Mackie, Ian (ed.), Proceedings of the 3rd international workshop on term graph rewriting (TERMGRAPH 2006), Vienna, Austria, April 2006. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 176, No. 1, 99-111 (2007).

Summary: Automatic differentiation is a technique for the rule-based transformation of a subprogram that computes some mathematical function into a subprogram that computes the derivatives of that function. Automatic differentiation algorithms are typically expressed as operating on a weighted term graph called a linearized computational graph. Constructing this weighted term graph for imperative programming languages such as C/C++ and Fortran introduces several challenges. Alias and definition-use information is needed to construct term graphs for individual statements and then combine them into one graph for a collection of statements. Furthermore, the resulting weighted term graph must be represented in a language-independent fashion to enable the use of AD algorithms in tools for various languages. We describe the construction and representation of weighted term graphs for C/C++ and Fortran, as implemented in the ADIC 2.0 and OpenAD/F tools for automatic differentiation.

For the entire collection see [Zbl 1273.68037].

For the entire collection see [Zbl 1273.68037].

##### MSC:

68N15 | Theory of programming languages |

65D25 | Numerical differentiation |

68Q42 | Grammars and rewriting systems |

68R10 | Graph theory (including graph drawing) in computer science |

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\textit{P. D. Hovland} et al., Electron. Notes Theor. Comput. Sci. 176, No. 1, 99--111 (2007; Zbl 1278.68042)

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