On 25/08/2009, at 8:36 AM, Ron Fleckner wrote:
I think you are right to suggest drawing it all in one view. That
would probably avoid the problem. The reason I don't is I'm too
much of a maths dolt to be able to work out the point co-ordinates
for each of the hand positions.
Hi Ron,
Others have addressed different ways to handle this using
NSAffineTransform, which is a good idea.
But the maths isn't hard, it's just a polar to Cartesian conversion:
endPoint.x = centrePoint.x + cos( angle ) * lengthOfHand;
endPoint.y = centrePoint.y + sin( angle ) * lengthOfHand;
If you visualise the hand as forming a right-angled triangle where the
hypotenuse is the hand itself, the x axis goes through the centre and
the y axis is a vertical line drawn from the tip if the hand to cut
the x axis, this bit of trigonometry should be fairly obvious. This is
what NSAffineTransform does internally. The advantage of using a
transform is that you can apply it to a complete path of arbitrary
shape, which is much more useful than just calculating where the end
point would be. But I think it's useful to know a bit of the maths
behind it so that it doesn't seem like "magic".
In code, the angle needs to be in radians. If you calculate in degrees
(simpler for a clock probably) degrees to radians is:
#define DEGREES_TO_RADIANS( d ) ((d) * 0.0174532925199432958)
--Graham
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