#!/usr/bin/python
# -*- coding: utf8 -*-

import matplotlib.pyplot as plt
import matplotlib as mpl
import numpy as np
from math import *

code_website = 'https://commons.wikimedia.org/wiki/User:Geek3/mplwp'
try:
    import mplwp
except ImportError, er:
    print 'ImportError:', er
    print 'You need to download mplwp.py from', code_website
    exit(1)

name = 'mplwp_Kelvin-ker-norm.svg'
fig = mplwp.fig_standard(mpl)

xlim = 0, 50; fig.gca().set_xlim(xlim)
ylim = -1, 2; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())
mplwp.move_axes(fig, 6, 0)

from scipy.special import kelvin

x = np.linspace(xlim[0], xlim[1], 5001)
y = np.array([kelvin(xx)[1].real * exp(xx/sqrt(2)) for xx in x])
plt.plot(x, y, label='ker(x) $\cdot$ exp(x/$\sqrt{2}$)')

plt.legend(loc='upper center')
plt.savefig(name)
mplwp.postprocess(name)