A Domain Specific Embedded Language in C++ for Automatic Differentiation, Projection, Integration and Variational Formulations | Zendy

Christophe Prud'Homme | Zendy

Open Access

A Domain Specific Embedded Language in C++ for Automatic Differentiation, Projection, Integration and Variational Formulations

Author(s) -

Christophe Prud'Homme

Publication year - 2006

Publication title -

scientific programming

Language(s) - English

Resource type - Journals

eISSN - 1875-919X

pISSN - 1058-9244

DOI - 10.1155/2006/150736

Subject(s) - decoupling (probability) , computer science , benchmark (surveying) , domain (mathematical analysis) , domain specific language , projection (relational algebra) , expression (computer science) , automatic differentiation , numerical integration , template , algorithm , programming language , artificial intelligence , mathematics , control engineering , engineering , mathematical analysis , geodesy , computation , geography

In this article, we present a domain specific embedded language in C++ that can be used in various contexts such as numerical projection onto a functional space, numerical integration, variational formulations and automatic differentiation. Albeit these tools operate in different ways, the language overcomes this difficulty by decoupling expression constructions from evaluation. The language is implemented using expression templates and meta-programming techniques and uses various Boost libraries. The language is exercised on a number of non-trivial examples and a benchmark presents the performance behavior on a few test problems

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