References

The following manuals provide more information about SPARC^® floating-point hardware:

• UltraSPARC Architecture 2005 (base ISA for T1) (http://www.oracle.com/technetwork/systems/opensparc/1537734)

• UltraSPARC Architecture 2007 (base ISA for T2, T2+, T3) (http://www.oracle.com/technetwork/systems/hardware/usparcarchdoc2007-329425.pdf)

• Oracle SPARC Architecture 2011 (base ISA for T4, T5, M5, M6) (http://www.oracle.com/technetwork/server-storage/sun-sparc-enterprise/documentation/140521-ua2011-d096-p-ext-2306580.pdf)

The remaining references are organized by chapter. Information on obtaining Standards documents and test programs is included at the end.

F.1 Chapter 2: “IEEE Arithmetic”

Cody et al., “A Proposed Radix- and Word-length-independent Standard for Floating-Point Arithmetic,” IEEE Computer, August 1984.

Coonen, J.T., “An Implementation Guide to a Proposed Standard for Floating Point Arithmetic”, Computer, Vol. 13, No. 1, Jan. 1980, pp 68-79.

Demmel, J., “Underflow and the Reliability of Numerical Software”, SIAM J. Scientific Statistical Computing, Volume 5 (1984), 887-919.

Hough, D., “Applications of the Proposed IEEE 754 Standard for Floating-Point Arithmetic”, Computer, Vol. 13, No. 1, Jan. 1980, pp 70-74.

Kahan, W., and Coonen, J.T., “The Near Orthogonality of Syntax, Semantics, and Diagnostics in Numerical Programming Environments”, published in The Relationship between Numerical Computation and Programming Languages, Reid, J.K., (editor), North-Holland Publishing Company, 1982.

Kahan, W., “Implementation of Algorithms”, Computer Science Technical Report No. 20, University of California, Berkeley CA, 1973. Available from National Technical Information Service, NTIS Document No. AD–769 124 (339 pages), 1-703-487-4650 (ordinary orders) or 1-800-336-4700 (rush orders.)

Karpinski, R., “Paranoia: a Floating-Point Benchmark”, Byte, February 1985.

Knuth, D.E., The Art of Computer Programming, Vol.2: Semi-Numerical Algorithms, Addison-Wesley, Reading, Mass, 1969, p 195.

Linnainmaa, S., “Combatting the effects of Underflow and Overflow in Determining Real Roots of Polynomials”, SIGNUM Newsletter 16, (1981), 11-16.

Rump, S.M., “How Reliable are Results of Computers?”, translation of “Wie zuverlassig sind die Ergebnisse unserer Rechenanlagen?”, Jahrbuch Uberblicke Mathematik 1983, pp 163-168, C Bibliographisches Institut AG 1984.

Sterbenz, P, Floating-Point Computation, Prentice-Hall, Englewood Cliffs, NJ, 1974. (Out of print; most university libraries have copies.)

Stevenson, D. et al., Cody, W., Hough, D. Coonen, J., various papers proposing and analyzing a draft standard for binary floating-point arithmetic, IEEE Computer, March 1981.

The Proposed IEEE Floating-Point Standard, special issue of the ACM SIGNUM Newsletter, October 1979.