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Re: Machine-precision Expfunction
On 11/18/08 at 7:22 AM, rschmied at gmail.com (Roman) wrote: >Bill, I don't agree with your statement: >In := Precision[-1`*^6] Out = MachinePrecision >So there is no such conversion involved. In any case, my question >was not about such conversions, but about avoiding arbitrary-math >routines. Roman. With respect to actually checking the precision in your original example, obviously I didn't do that when i should have. But with respect to avoiding "arbitrary-math routines" which I interpret as meaning avoiding the overhead of Mathematica's arbitrary precision arithmetic, the answer is simple. Just enter all numerical parameters with a decimal point. Then by default, Mathematica uses machine precision arithmetic through-out the computation which will yield the fastest execution time for a given implementation of a given algorithm. And since it takes fewer characters to enter numerical data with a decimal point than it does to specify a specific precision, I really don't understand why anyone would do any thing else to invoke machine precision computations.