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import numpy as np
import matplotlib.pyplot as plt


def cluster_stars(N, min_v, max_v):
    '''
    '''
    mu = np.random.uniform(min_v, max_v)
    sigma = np.random.uniform(max_v / 10., min_v / 10.)
    print mu, sigma

    points = zip([np.random.normal(mu, sigma, N),
        np.random.normal(mu, sigma, N)])

    return points, 2 * sigma, [mu, mu]


def main():

    # Synthetic cluster.
    N, min_v, max_v = 200, 0., 10.
    points, clust_rad, center = cluster_stars(N, min_v, max_v)

    # Synthetic field.
    N = 1000
    field = zip([np.random.uniform(min_v, max_v, N),
        np.random.uniform(min_v, max_v, N)])

    # Plot.
    fig = plt.figure()
    fig.add_subplot(111, aspect='equal')

    # Plot radius.
    circle = plt.Circle((center[0], center[1]), clust_rad, color='k',
        fill=False, lw=1.5)
    fig.gca().add_artist(circle)
    # Plot field points.
    plt.scatter(*field, s=10, c='b', zorder=2)
    # Plot cluster points.
    plt.scatter(*points, s=10, c='r', zorder=3)
    # Plot cluster center.
    plt.scatter(*center, s=70, c='g', zorder=4)

    plt.show()


if __name__ == "__main__":
    main()