Title :
Accurate and monotone approximations of some transcendental functions
Author :
Ferguson, Warren E., Jr. ; Brightman, Tom
Author_Institution :
Cyrix Corp., Richardson, TX, USA
Abstract :
A technique for computing monotonicity preserving approximations Fa(x) of a function F(x) is presented. This technique involves computing an extra precise approximation of F(x) that is rounded to produce the value of Fa(x). For example, only a few extra bits of precision are used to make the accurate transcendental functions found on the Cyrix FasMath line of 80387 compatible math coprocessors monotonic
Keywords :
digital arithmetic; function approximation; 80387 compatible; Cyrix FasMath; math coprocessors; monotone approximations; monotonicity preserving; precise approximation; transcendental functions; Coprocessors; Floating-point arithmetic; Polynomials;
Conference_Titel :
Computer Arithmetic, 1991. Proceedings., 10th IEEE Symposium on
Conference_Location :
Grenoble
Print_ISBN :
0-8186-9151-4
DOI :
10.1109/ARITH.1991.145566
