From: sgk@REMOVEtroutmask.apl.washington.edu   
      
   On Thu, 24 Oct 2024 04:47:06 +0000, Lawrence D'Oliveiro wrote:   
      
   > On Thu, 24 Oct 2024 02:17:15 -0000 (UTC), Steven G. Kargl wrote:   
   >   
   >> One of these values is wrong.   
   >   
   > Only if you assume the input numbers were somehow “exact” or   
   “perfect” to   
   > begin with.   
   >   
   > There’s an old principle in computing: “Garbage In, Garbage Out”.   
      
   People discussing Fortran normally use floating point math when   
   computing sin(x) or any other function of a "real" quantity.   
      
   >   
   >> You seem to be missing that argument reduction for sind(x)   
   >> is much easier than argument reduction for sin(x).   
   >   
   > But that only worked for one angle, and for nothing else.   
      
   ROFL.   
      
   For sin(x), argument reduction will give sin(0) = 0, exactly.   
   That's one angle.   
      
   For sind(x), argument reduction will give sind(x) = 0, exactly,   
   for countable many angles.   
      
   --   
   steve   
      
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