BibTeX
@INPROCEEDINGS{
         Bischof2002IoA,
       author = "Christian H.~Bischof and Paul D. Hovland and Boyana Norris",
       title = "Implementation of Automatic Differentiation Tools",
       booktitle = "Proceedings of the 2002 ACM SIGPLAN Workshop on Partial Evaluation and
         Semantics-Based Program Manipulation (PEPM'02)",
       pages = "98--107",
       address = "New York, NY, USA",
       publisher = "ACM Press",
       abstract = "Automatic differentiation is a semantic transformation that applies the rules of
         differential calculus to source code. It thus transforms a computer program that computes a
         mathematical function into a program that computes the function and its derivatives. Derivatives
         play an important role in a wide variety of scientific computing applications, including
         optimization, solution of nonlinear equations, sensitivity analysis, and nonlinear inverse problems.
         We describe a simple component architecture for developing tools for automatic differentiation and
         other mathematically oriented semantic transformations of scientific software. This architecture
         consists of a compiler-based, language-specific front-end for source transformation, loosely coupled
         with one or more language-independent ``plug-in'' transformation modules. The coupling
         mechanism between the front-end and transformation modules is provided by the XML Abstract Interface
         Form (XAIF). XAIF provides an abstract, language-independent representation of language constructs
         common in imperative languages, such as C and Fortran. We describe the use of this architecture in
         constructing tools for automatic differentiation of Fortran~77 and ANSI C, and we discuss how access
         to compiler optimization techniques can enable more efficient derivative augmentation.",
       ad_tools = "Development",
       year = "2002",
       doi = "10.1145/503032.503047"
}