import matplotlib.pyplot as plt
import numpy as np
from plotstyle import *

def create_data():
    # wikipedia:
    # Generally, males vary in total length from 250 to 390 cm and
    # weigh between 90 and 306 kg
    c = 6
    x = np.arange(2.2, 3.9, 0.05)
    y = c * x**3.0
    rng = np.random.RandomState(32281)
    noise = rng.randn(len(x))*50
    y += noise
    return x, y, c

    
def plot_data(ax, x, y):
    ax.plot(x, y, **psA)
    ax.set_xlabel('Size x', 'm')
    ax.set_ylabel('Weight y', 'kg')
    ax.set_xlim(2, 4)
    ax.set_ylim(0, 400)
    ax.set_xticks(np.arange(2.0, 4.1, 0.5))
    ax.set_yticks(np.arange(0, 401, 100))

        
def plot_data_fac(ax, x, y, c):
    ax.plot(x, y, zorder=10, **psA)
    xx = np.linspace(2.1, 3.9, 100)
    ax.plot(xx, c*xx**3.0, zorder=5, **lsB)
    for cc in [0.25*c, 0.5*c, 2.0*c, 4.0*c]:
        ax.plot(xx, cc*xx**3.0, zorder=5, **lsDm)
    ax.set_xlabel('Size x', 'm')
    ax.set_ylabel('Weight y', 'kg')
    ax.set_xlim(2, 4)
    ax.set_ylim(0, 400)
    ax.set_xticks(np.arange(2.0, 4.1, 0.5))
    ax.set_yticks(np.arange(0, 401, 100))

    
if __name__ == "__main__":
    x, y, c = create_data()
    print('n=%d' % len(x))
    fig, (ax1, ax2) = plt.subplots(1, 2, figsize=cm_size(figure_width, 0.9*figure_height))
    fig.subplots_adjust(wspace=0.5, **adjust_fs(fig, left=6.0, right=1.2))
    plot_data(ax1, x, y)
    plot_data_fac(ax2, x, y, c)
    fig.savefig("cubicfunc.pdf")
    plt.close()