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# A CSplit is a Clock-shaped split: the children are grouped in a circle.
# The numbering is a little different from a real clock: the 12 o'clock
# position is called 0, not 12. This is a little easier since Python
# usually counts from zero. (BTW, there needn't be exactly 12 children.)


from math import pi, sin, cos
from Split import Split

class CSplit() = Split():
 #
 def minsize(self, m):
 # Since things look best if the children are spaced evenly
 # along the circle (and often all children have the same
 # size anyway) we compute the max child size and assume
 # this is each child's size.
 width, height = 0, 0
 for child in self.children:
 wi, he = child.minsize(m)
 width = max(width, wi)
 height = max(height, he)
 # In approximation, the diameter of the circle we need is
 # (diameter of box) * (#children) / pi.
 # We approximate pi by 3 (so we slightly overestimate
 # our minimal size requirements -- not so bad).
 # Because the boxes stick out of the circle we add the
 # box size to each dimension.
 # Because we really deal with ellipses, do everything
 # separate in each dimension.
 n = len(self.children)
 return width + (width*n + 2)/3, height + (height*n + 2)/3
 #
 def getbounds(self):
 return self.bounds
 #
 def setbounds(self, bounds):
 self.bounds = bounds
 # Place the children. This involves some math.
 # Compute center positions for children as if they were
 # ellipses with a diameter about 1/N times the
 # circumference of the big ellipse.
 # (There is some rounding involved to make it look
 # reasonable for small and large N alike.)
 # XXX One day Python will have automatic conversions...
 n = len(self.children)
 fn = float(n)
 if n = 0: return
 (left, top), (right, bottom) = bounds
 width, height = right-left, bottom-top
 child_width, child_height = width*3/(n+4), height*3/(n+4)
 half_width, half_height = \
 float(width-child_width)/2.0, \
 float(height-child_height)/2.0
 center_h, center_v = center = (left+right)/2, (top+bottom)/2
 fch, fcv = float(center_h), float(center_v)
 alpha = 2.0 * pi / fn
 for i in range(n):
 child = self.children[i]
 fi = float(i)
 fh, fv = \
 fch + half_width*sin(fi*alpha), \
 fcv - half_height*cos(fi*alpha)
 left, top = \
 int(fh) - child_width/2, \
 int(fv) - child_height/2
 right, bottom = \
 left + child_width, \
 top + child_height
 child.setbounds((left, top), (right, bottom))
 #