# This is a script that uses Bezier curves to draw a nice 
# representation of the letter 'd'. The script is incomplete 
# in several ways. 
#

import numpy as np
import matplotlib.pyplot as pp


#
# Here you should define your subroutine DrawBezierCurve(). The cubic Bezier
# curve is defined by 4 control points. The curve should interpolate P1 and P4. 
#
def DrawBezierCurve( P1,P2,P3,P4,n):
    #
    t=np.linspace(0,1,n)
    x=1
    return




#
# Create a vector of points to use for defining straight line segments.
#

Points=np.array([ [70.0, 23.0, 23.0, 23.0,  23.0,  23.0,  23.0,  0.0,   0.0,   46.0, 46.0, 70.0] ,
                  [ 4.0,  0.0, 20.0, 35.0, 107.0, 125.0, 195.0, 213.0, 222.0, 225.0, 28.0, 13.0] ])

#
# Create a matrix that can be used to store the control points for the 
# Bezi'er curves. In the exercise you will successively add more points
# into this matrix.
#
Control=np.array([ [ 0.0 ] , 
                   [ 0.0 ] ])
#
#  Code that can be used to cerate an "italic style" d. 
#
#Points[0,:]=Points[0,:]+0.07*Points[1,:]
#Control[0,:]=Control[0,:]+0.07*Control[1,:]

#
# Now draw the line segments of the 'd'.
#
pp.plot( Points[0, [11,0,1,2] ],Points[1, [11,0,1,2] ],'k' )
pp.plot( Points[0, [3,4] ], Points[1, [3,4] ],'k')
pp.plot( Points[0, [5,6] ], Points[1, [5,6] ],'k')
pp.plot( Points[0, [7,8,9,10] ], Points[1, [7,8,9,10] ],'k')


#
# Here is room to add the curve segments for the other exercises. In all cases
# add the points you need to either Points or Control above. Then pick out the 
# 4 control points for the curve you want to draw, e.g. P1=Points[:,3] and make
# a subroutine call DrawBezierCurve(P1,P2,P3,P4)
#


#
# Finally we set the proper axis-limits and make the plot visible.
#
pp.xlim([-70.0,80.0])
pp.ylim([-10.0,250.0])
pp.set_aspect('equal', 'box')
pp.show()