def fitcircle(n, x, y): 
# n points, x points, y points
    """c Fit circle to arbitrary number of x,y pairs, based on the
c modified least squares method of Umback and Jones (2000),
c IEEE Transactions on Instrumentation and Measurement."""
    # adding in normalize vectors step
    #x = numpy.array(x) / max(x)
    #y = numpy.array(y) / max(y)
    #
    
    sx, sx2, sx3, sy, sy2, sy3, sxy, sxy2, syx2 = (0,) * 9
    print(type(sx), sx)
    for i in range(n):
        sx = sx + x[i]
        sx2 = sx2 + x[i]**2
        sx3 = sx3 + x[i]**3
        sy = sy + y[i]
        sy2 = sy2 + y[i]**2
        sy3 = sy3 + y[i]**3
        sxy = sxy + x[i] * y[i]
        sxy2 = sxy2 + x[i] * y[i]**2
        syx2 = syx2 + y[i] * x[i]**2

    A = n * sx2 - sx**2
    B = n * sxy - sx*sy
    C = n * sy2 - sy**2
    D = 0.5 * (n * sxy2 - sx * sy2 + n * sx3 - sx * sx2)
    E = 0.5 * (n * syx2 - sy * sx2 + n * sy3 - sy * sy2)
    # values check out up to here

    xo = old_div((D * C - B * E), (A * C - B**2))
    yo = old_div((A * E - B * D), (A * C - B**2))
    print("xo", xo)
    print("yo", yo)

    r = 0
    for z in range(n):
        r = r + old_div(numpy.sqrt( (x[z]-xo)**2 + (y[z]-yo)**2 ), n)

    if xo <= numpy.mean(x) and yo <= numpy.mean(y):
        k = old_div(-1.,r)
    else:
        k = old_div(1.,r)

    SSE = lib_k.get_SSE(xo, yo, r, x, y)
    print("r", r)
    return k, xo, yo, SSE
def fitcircle ( n , x , y ) : sx , sx2 , sx3 , sy , sy2 , sy3 , sxy , sxy2 , syx2 = ( 0 , ) * 9 print ( type ( sx ) , sx ) for i in range ( n ) : sx = sx + x [ i ] sx2 = sx2 + x [ i ] ** 2 sx3 = sx3 + x [ i ] ** 3 sy = sy + y [ i ] sy2 = sy2 + y [ i ] ** 2 sy3 = sy3 + y [ i ] ** 3 sxy = sxy + x [ i ] * y [ i ] sxy2 = sxy2 + x [ i ] * y [ i ] ** 2 syx2 = syx2 + y [ i ] * x [ i ] ** 2 A = n * sx2 - sx ** 2 B = n * sxy - sx * sy C = n * sy2 - sy ** 2 D = 0.5 * ( n * sxy2 - sx * sy2 + n * sx3 - sx * sx2 ) E = 0.5 * ( n * syx2 - sy * sx2 + n * sy3 - sy * sy2 ) xo = old_div ( ( D * C - B * E ) , ( A * C - B ** 2 ) ) yo = old_div ( ( A * E - B * D ) , ( A * C - B ** 2 ) ) print ( "xo" , xo ) print ( "yo" , yo ) r = 0 for z in range ( n ) : r = r + old_div ( numpy . sqrt ( ( x [ z ] - xo ) ** 2 + ( y [ z ] - yo ) ** 2 ) , n ) if xo <= numpy . mean ( x ) and yo <= numpy . mean ( y ) : k = old_div ( - 1. , r ) else : k = old_div ( 1. , r ) SSE = lib_k . get_SSE ( xo , yo , r , x , y ) print ( "r" , r ) return k , xo , yo , SSE
c Fit circle to arbitrary number of x,y pairs, based on the
c modified least squares method of Umback and Jones (2000),
c IEEE Transactions on Instrumentation and Measurement.