Interval arithmetic using expression templates, template meta programming and the upcoming C++ standard

Authors:
Marco Nehmeier
Affiliations:
University of Würzburg, Institute of Computer Science, Am Hubland, 97074, Würzburg, Germany
Venue:
Computing - Special Issue on GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN2010)
Year:
2012

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Abstract

In this paper we will discuss different realizations for an efficient interval arithmetic implementation using expression templates and template meta programming in C++. We will improve the handling of the rounding mode switches using expression templates and show how the constructed expression trees can be combined with other features like automatic differentiation. For a further improvement of the run time performance we try to move as many functionality as possible to the compile time using template meta programming techniques. In addition we will illustrate how an interval arithmetic implementation will profit from new features and keywords defined in the upcoming C++ standard.