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Variable precision exponential function. (English) Zbl 0607.65004
The exponential function presented here returns a result which differs from $e\sp x$ by less than one unit in the last place, for any representable value of x which is not too close to values for which $e\sp x$ would overflow or underflow. (For values of x which are not within this range, an error condition is raised.) It is a ”variable precision” function in that it returs a p-digit approximation for a p-digit argument, for any $p>0$ (p-digit means p-decimal-digit). The program and analysis are valid for all $p>0$, but current implementations place a restriction on p. The program is presented in a Pascal-like programming language called Numerical Turing which has special facilities for scientific computing, including precision control, directed roundings, and built-in functions for getting and setting exponents.

65D20Computation of special functions, construction of tables
33B10Exponential and trigonometric functions
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