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|    Message 4,767 of 5,127    |
|    Lawrence D'Oliveiro to All    |
|    Angle Units For Trig Functions    |
|    20 Oct 24 03:47:13    |
      From: ldo@nz.invalid              I see that the Fortran 2023 spec has added a bunch of parallel trig       functions that work in degrees.              I find this sort of thing unnecessary. It seems conventional to add       functions for converting between degrees and radians, but a simpler way is       to simply define a conversion factor for each angle unit. One conversion       factor is simpler than two functions for each angle unit.              So trig functions always work in radians. Supposing we have               real, parameter :: DEG = PI / 180        real, parameter :: CIRCLE = 2 * PI        real, parameter :: RAD = 1              Then               sin(x) -- sin of x in radians        sin(x * DEG) -- x is in degrees        atan2(y, x) -- arctangent is in radians        atan2(y, x) / DEG -- arctangent is in degrees              and we can furthermore have equivalences like               sin(90 * DEG) = sin(0.25 * CIRCLE) = sin(PI / 2)              (to within rounding error, of course)              and it is easy enough to add other units, e.g.               real, parameter :: GRAD = PI / 200              Anybody remember those?              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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