On Tue, 16 Sep 2008, jerry anning wrote:

> Reading the manual, I see that several graphic tools, such as arc, expect
> angles in radians, but others (:angle) take degrees. No big deal, but I
> suggest that standardizing on degrees might not be a bad idea. As I
> understand it, Hackety-Hack: the Re-enhackening will be based on Shoes and
> telling them to use something like Math::PI / 4 is one of the fastest ways I
> know to scare off youngsters and mathphobes and it is hard to teach someone
> to program when they run away screaming.


For what it is worth, the Alice programming system http://www.alice.org/
decided to solve this particular problem by defining rotations ( using
turn and roll rather than yaw, pitch and roll) in terms of a complete
turn.  So you get instructions like "Lunch Lady, turn right (1/4) turn".
I suppose you could:

class Object
  def degrees(x)
    x * Math::PI / 180.0
  end

  def radians(x)
    x
  end
end

class Numeric
  def degrees
    self * Math::PI / 180.0
  end

  def radians
    self
  end
end

so you could write 
    degrees(5) + 5.degrees

and similar stuff for turn, turns. Except turn may come up in
strategy games as take a turn.

Anyone ever use Grads, 400 of them to a full circle?  

Given the sets of measurements for {angle, temperature, time}, 
degrees, minutes and seconds are problematic...  Only allow
temperature in Kelvin and Celcius which, strictly speaking, are
not in degrees, I understand?  That's before we get started on
MoTown artistes...

        Hugh

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