Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

Augmenting a Programming Language with Complex Arithmetic

William Kahan and J. W. Thomas

EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-92-667
December 1991

http://www.eecs.berkeley.edu/Pubs/TechRpts/1992/CSD-92-667.pdf

Currently, programming languages that support COMPLEX arithmetic as well as REAL oblige compilers to implement certain obscure optimizations lest expressions mixing REAL with COMPLEX variables engender superfluous or even harmful computation. This can be avoided if the language provides, for the compiler's use, a third IMAGINARY data-type about which the programmer need know only the name of the language's imaginary unit I or i or j. And on computers conforming to IEEE 754/854, the scheme proposed here honors complex conjugation in ways that other schemes cannot.


BibTeX citation:

@techreport{Kahan:CSD-92-667,
    Author = {Kahan, William and Thomas, J. W.},
    Title = {Augmenting a Programming Language with Complex Arithmetic},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {1991},
    Month = {Dec},
    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1991/6127.html},
    Number = {UCB/CSD-92-667},
    Abstract = {Currently, programming languages that support COMPLEX arithmetic as well as REAL oblige compilers to implement certain obscure optimizations lest expressions mixing REAL with COMPLEX variables engender superfluous or even harmful computation. This can be avoided if the language provides, for the compiler's use, a third IMAGINARY data-type about which the programmer need know only the name of the language's imaginary unit <i>I</i> or <i>i</i> or <i>j</i>. And on computers conforming to IEEE 754/854, the scheme proposed here honors complex conjugation in ways that other schemes cannot.}
}

EndNote citation:

%0 Report
%A Kahan, William
%A Thomas, J. W.
%T Augmenting a Programming Language with Complex Arithmetic
%I EECS Department, University of California, Berkeley
%D 1991
%@ UCB/CSD-92-667
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/1991/6127.html
%F Kahan:CSD-92-667