Skip to main content

C-XSC 2.0 – A C++ Library for Extended Scientific Computing

  • Conference paper
Numerical Software with Result Verification

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2991))

Abstract

In this note the main features and newer developments of the C++ class library for extended scientific computing C-XSC 2.0 will be discussed.

The original version of the C-XSC library is about ten years old. But in the last decade the underlying programming language C++ has been developed significantly. Since November 1998 the C++ standard is available and more and more compilers support (most of) the features of this standard. The new version C-XSC 2.0 conforms to this standard. Application programs written for older C-XSC versions have to be modified to run with C-XSC 2.0. Several examples will help the user to see which changes have to be done. Note, that all sample codes given in [6] have to be modified to work properly with C-XSC 2.0.

All sample codes listed in this note will be made available on the web page http://www.math.uni-wuppertal.de/xsc/cxsc/examples .

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Cuyt, A., Verdonk, B., Becuwe, S., Kuterna, P.: A Remarkable Example of Catastrophic Cancellation Unraveled. Computing 66, 309–320 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  2. Hammer, R., Hocks, M., Kulisch, U., Ratz, D.: C++ Toolbox for Verified Computing. Basic Numerical Problems. Springer, Berlin (1995)

    MATH  Google Scholar 

  3. Hölbig, C., Krämer, W.: Selfverifying Solvers for Dense Systems of Linear Equations Realized in C-XSC. Preprint BUW-WRSWT 2003/1, Universität Wuppertal (2003)

    Google Scholar 

  4. Hofschuster, W., Krämer, W., Wedner, S., Wiethoff, A.: C-XSC 2.0: A C++ Class Library for Extended Scientific Computing, Preprint BUGHW-WRSWT 2001/1, University of Wuppertal, pp. 1-24 (2001)

    Google Scholar 

  5. ISO/IEC 14882: Standard for the C++ Programming Language (1998)

    Google Scholar 

  6. Klatte, R., Kulisch, U., Lawo, C., Rauch, M., Wiethoff, A.: C-XSC – A C++ Class Library for Scientific Computing. Springer, Berlin (1993)

    MATH  Google Scholar 

  7. Krämer, W., Bantle, A.: Automatic Forward Error Analysis for Floating Point Algorithms. Reliable Computing 7(4), 321–340 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  8. Krämer, W., Wedner, S.: Two adaptive Gauss-Legendre type algorithms for the verified computation of definite integrals. Reliable Computing 2(3), 241–253 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  9. Krämer, W., Kulisch, U., Lohner, R.: Numerical Toolbox for Verified Computing II. Advanced Numerical Problems, Draft version available: http://www.uni-karlsruhe.de/~Rudolf.Lohner/papers/tb2.ps.gz

  10. Kulisch, U.: The Fifth Floating-Point Operation for Top-Performance Computers or Accumulation of Floating-Point Numbers and Products in Fixed-Point Arithmetic. Bericht 4/1997 des Forschungsschwerpunkts Computerarithmetik, Intervallrechnung und Numerische Algorithmen mit Ergebnisverifikation, Universität Karlsruhe (1997)

    Google Scholar 

  11. Kulisch, U.: Advanced Arithmetic for the Digital Computer. Design of Arithmetic Units. Springer, Wien (2002)

    Book  MATH  Google Scholar 

  12. Loh, E., Walster, G.W.: Rump’s Example Revisited. Reliable Computing 8(3), 245–248 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  13. Lohner, R.: Einschließung der Lösung gewöhnlicher Anfangs- und Randwertaufgaben und Anwendungen. Dissertation, Universität Karlsruhe (1988)

    Google Scholar 

  14. Meyers, S.: Effective C++, 50 Specific Ways to Improve Your Programs and Designs. Addison-Wesley, Reading (1998)

    MATH  Google Scholar 

  15. Meyers, S.: More Effective C++, 35 New Ways to Improve Your Programs and Designs. Addison-Wesley, Reading (1997)

    Google Scholar 

  16. Neher, M.: Validated bounds for Taylor coefficients of analytic functions. Reliable Computing 7, 307–319 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  17. Rump, S.M.: Algorithms for verified inclusions – theory and practice. In: Moore, R.E. (ed.) Reliability in Computing, pp. 109–126. Academic Press, New York (1988)

    Google Scholar 

  18. Rump, S.M.: INTLAB - INTerval LABoratory. In: Csendes, T. (ed.) Developments in Reliable Computing, pp. 77–104. Kluwer Academic Publishers, Dordrecht (1999)

    Google Scholar 

  19. Stroustrup, B.: The C++ Programming Language, Special edn. Addison-Wesley, Reading (2000)

    Google Scholar 

  20. Wedner, S.: Verifizierte Bestimmung singulärer Integrale - Quadratur und Kubatur. Thesis, Univ. Karlsruhe (2000)

    Google Scholar 

  21. Wolff von Gudenberg, J.: OOP and Interval Arithmetic – Language Support and Libraries. In: Alt, R., Frommer, A., Kearfott, R.B., Luther, W. (eds.) Dagstuhl Seminar 2003. LNCS, vol. 2991, pp. 1–14. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hofschuster, W., Krämer, W. (2004). C-XSC 2.0 – A C++ Library for Extended Scientific Computing. In: Alt, R., Frommer, A., Kearfott, R.B., Luther, W. (eds) Numerical Software with Result Verification. Lecture Notes in Computer Science, vol 2991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24738-8_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24738-8_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21260-7

  • Online ISBN: 978-3-540-24738-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics