![]() ![]() > y = sin ( mp (x ) ) % compute sine values in quadruple precision > f = sin (x ) % call built-in function for double precision sine ![]() % Check accuracy of sine using 1M random points on (0, 16] Having extended precision routines, accuracy check of any function needs only few commands: Along the way, we will also check accuracy of the commonly used open source libraries. ![]() Today we will investigate how accurately MATLAB computes Bessel functions of the first and second kind Y n(x) and J n(x) in double precision. Please refer to the pages for more details. In spite of the fact that modified Bessel functions are easy to compute (they are monotonous and do not cross x-axis) we saw that MATLAB provides accuracy much lower than expected for double precision. In previous posts we studied accuracy of computation of modified Bessel functions: K 1(x), K 0(x), I 0(x) and I 1(x).
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