Finding the angle between two bearings is often confusing.[1]



Task

Find the angle which is the result of the subtraction b2 - b1, where b1 and b2 are the bearings.


Input bearings are expressed in the range   -180   to   +180   degrees.

The  result  is also expressed in the range   -180   to   +180   degrees.



Compute the angle for the following pairs:

 20 degrees (b1) and 45 degrees (b2)
 -45 and 45
 -85 and 90
 -95 and 90
 -45 and 125
 -45 and 145
 29.4803 and -88.6381
 -78.3251 and -159.036


Optional extra
 
Allow the input bearings to be any (finite) value.



Test cases

 -70099.74233810938 and 29840.67437876723
 -165313.6666297357 and 33693.9894517456
 1174.8380510598456 and -154146.66490124757
 60175.77306795546 and 42213.07192354373


sub infix:<∠> (Real $b1, Real $b2) {
   (my $b = ($b2 - $b1 + 720) % 360) > 180 ?? $b - 360 !! $b;
}
 
for 20, 45,
   -45, 45,
   -85, 90,
   -95, 90,
   -45, 125,
   -45, 145,
   29.4803, -88.6381,
   -78.3251, -159.036,
   -70099.74233810938, 29840.67437876723,
   -165313.6666297357, 33693.9894517456,
   1174.8380510598456, -154146.66490124757,
   60175.77306795546, 42213.07192354373
 
  -> $b1, $b2 { printf "%10.2f %10.2f = %8.2f\n", $b1, $b2, $b1 ∠ $b2 }