Accurate and monotone approximations of some transcendental functions

Abstract

A technique for computing monotonicity preserving approximations F/sub a/(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 F/sub a/(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.<>