# Method and function circle2 to insert into
# turtle.py

# to discuss: should circle2 replace circle?
# they visually behave differently

    def circle2(self, radius, extent = None):
        """ Draw a circle with given radius.
        """ # docstring as given in circle
        if extent is None:
            extent = self._fullcircle 
        frac = abs(extent)/self._fullcircle 
        steps = 1+int(min(11+abs(radius)/6.0, 59.0)*frac)
        w = 1.0 * extent / steps
        w2 = 0.5 * w
        l = 2.0 * radius * sin(w2*self._invradian) 
        if radius < 0:
            l, w, w2 = -l, -w, -w2
        self.left(w2)
        for i in range(steps):
            self.forward(l)
            self.left(w)
        self.right(w2)

# around line 750:

def circle2(radius, extent=None): _getpen().circle2(radius, extent)

######################################################


#### testscript:

# testing circle2
# assumes insertion of method and function circle2 into turtle.py

# tests if circle and circle2 draw identical lines
# test ok.
# filling with circle2 ok.


from turtle import *
from time import sleep

p = Pen()

width(2)
begin_fill()
for i in range(18):
    circle(-18,90)
    circle(18,110)

color("red")
end_fill()

sleep(1.5)

p.width(2)
p.speed('fastest')
p.begin_fill()
for i in range(18):
    p.circle2(-18,90)
    p.circle2(18,110)
	
p.color("green")
p.end_fill()
 
print position()
print p.position()