Day 5 : Arc-Sine

# Author: Dialid Santiago <d.santiago@outlook.com>
# License: MIT
# Description: Advent Calendar 2023

import matplotlib.pyplot as plt
import numpy as np
from matplotlib.gridspec import GridSpec
# from skrmt.ensemble.spectral_law import TracyWidomDistribution
#
# plt.style.use("https://raw.githubusercontent.com/quantgirluk/matplotlib-stylesheets/main/quant-pastel-light.mplstyle")
#
# title: str = f"\n Tracy-Widom Distribution \n $X \\sim TW\\beta$"
#
# fig = plt.figure(figsize=(10, 5), dpi=200)
# gs = GridSpec(1, 4, wspace=0.5)
# ax1 = fig.add_subplot(gs[:2])
# ax2 = fig.add_subplot(gs[2:])
#
# x = np.linspace(-5.0, 5.0, 1000)
# params = [1, 2, 4]
# for beta in params:
#     rv = TracyWidomDistribution(beta=beta)
#     ax1.plot(x, rv.pdf(x), label=f"$\\beta={beta}$")
#     ax2.plot(x, rv.cdf(x), label=f"$\\beta={beta}$")
#
# ax1.set_title(r'Probability Density Function', y=-0.18)
# ax2.legend(loc='lower right', frameon=True, facecolor='white', framealpha=1)
# ax2.set_title('Cumulative Distribution Function', y=-0.18)
# fig.suptitle(title)
# gs.tight_layout(fig)
#
# # fig.savefig('20_TracyWidom')
# plt.show()