"""
Demo text printing
===================

A example showing off elaborate text printing with matplotlib.
"""

import numpy as np
import matplotlib.pyplot as plt


eqs = []
eqs.append(
    r"$W^{3\beta}_{\delta_1 \rho_1 \sigma_2} = U^{3\beta}_{\delta_1 \rho_1} + \frac{1}{8 \pi 2} \int^{\alpha_2}_{\alpha_2} d \alpha^\prime_2 \left[\frac{ U^{2\beta}_{\delta_1 \rho_1} - \alpha^\prime_2U^{1\beta}_{\rho_1 \sigma_2} }{U^{0\beta}_{\rho_1 \sigma_2}}\right]$"
)
eqs.append(
    r"$\frac{d\rho}{d t} + \rho \vec{v}\cdot\nabla\vec{v} = -\nabla p + \mu\nabla^2 \vec{v} + \rho \vec{g}$"
)
eqs.append(r"$\int_{-\infty}^\infty e^{-x^2}dx=\sqrt{\pi}$")
eqs.append(r"$E = mc^2 = \sqrt{{m_0}^2c^4 + p^2c^2}$")
eqs.append(r"$F_G = G\frac{m_1m_2}{r^2}$")

plt.axes((0.025, 0.025, 0.95, 0.95))

rng = np.random.default_rng()

for i in range(24):
    index = rng.integers(0, len(eqs))
    eq = eqs[index]
    size = np.random.uniform(12, 32)
    x, y = np.random.uniform(0, 1, 2)
    alpha = np.random.uniform(0.25, 0.75)
    plt.text(
        x,
        y,
        eq,
        ha="center",
        va="center",
        color="#11557c",
        alpha=alpha,
        transform=plt.gca().transAxes,
        fontsize=size,
        clip_on=True,
    )
plt.xticks([])
plt.yticks([])

plt.show()