Complex inclusion functions in the CoStLy C++ class library

  • Authors:

  • Markus Neher

  • Affiliations:

  • Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Karlsruhe, Germany

  • Venue:
  • ICMS'10 Proceedings of the Third international congress conference on Mathematical software
  • Year:
  • 2010

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Abstract

The C++ class library CoStLy for the rigorous computation of complex function values or ranges is presented. Rectangular complex interval arithmetic is used for the computations. In the CoStLy procedures, all truncation and roundoff errors are calculated during the course of the floating-point computation and enclosed into the result. The library contains procedures for root and power functions, the exponential, trigonometric and hyperbolic functions, their inverse functions, and some auxiliary functions, such as the absolute value or the argument function.