NAG Toolbox: nag_machine_sinarg_max (x02ah)

nag_machine_sinarg_max (x02ah) returns the largest positive argument for which the Fortran intrinsic functions SIN and COS return a result with some meaningful accuracy.

The trigonometric functions $\sin$ and $\cos$ supplied in some compiler run-time libraries do not return accurate results when their argument is large. Often the related accuracy of a result gets progressively worse as the argument gets larger. nag_machine_sinarg_max (x02ah) gives a value beyond which the compiler run-time library returns results with no relative accuracy at all. Note that some run-time libraries do return accurate results for all arguments to $\sin$ and $\cos$.

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See Example in nag_machine_precision (x02aj).

function x02ah_example


fprintf('x02ah example results\n\n');

fprintf('largest permissable argument of sin and cos = %16.8e\n', ...
        x02ah);

x02ah example results

largest permissable argument of sin and cos =   1.42724769e+45