from matplotlib import pyplot as plt
import numpy as np


def moyal(x, μ, σ):
    N = (1)/(np.sqrt(2 * np.pi) * σ)
    return N * np.exp(- 0.5 * ((x - μ)/σ + np.exp(- (x - μ)/σ)))


# prepare plot
# plt.figure()
plt.figure(figsize=(3, 2))
plt.rcParams['font.size'] = 8
plt.ylim = (-0.02, 0.23)

# do plot
x = np.arange(-10, 30, 0.01)
μ = -0.22278298
σ = 1.1191486
plt.plot(x, moyal(x, μ, σ), color='gray')

# save fig
plt.tight_layout()
# plt.show()
plt.savefig('slides/images/moyal-pdf.pdf', transparent=True)