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import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation

fig = plt.figure(figsize=(7, 7))
ax = fig.add_axes([0, 0, 1, 1], frameon=False)
ax.set_xlim(-1, 1), ax.set_xticks([])
ax.set_ylim(-1, 1), ax.set_yticks([])

# Set initial coordinates
x0 = 0
y0 = 0

# Set current coordinates
x_curr = x0
y_curr = y0

# Initialize array of coordinates history
x_ac = [x0]
y_ac = [y0]

# Initialize destination coordinates
xd = x0
yd = y0

# Set number and index of steps
n_steps = 20
step_i = 0

# Set waiting parameters
waiting = True
n_waiting = 5
wait_i = 0

def update(frame_number):
    global step_i, waiting, wait_i, x_curr, y_curr, x0, y0, xd, yd

    if not waiting:
        if step_i < n_steps:
            # Task 7.1.1
            # x_curr = x0 + (float((xd - x0)) / float(n_steps)) * step_i
            # y_curr = y0 + (float((yd - y0)) / float(n_steps)) * step_i
            # x_curr = x0 + np.random.uniform(-1, 1)/float(n_steps) * step_i
            # y_curr = y0 + np.random.uniform(-1, 1)/float(n_steps) * step_i
            # x_curr = 2*np.random.rand()-1
            # y_curr = 2*np.random.rand()-1
            x_curr = np.random.uniform(-1, 1)
            y_curr = np.random.uniform(-1, 1)
            step_i += 1
        else:
            # Task 7.1.1
            x_curr = xd
            y_curr = yd
            step_i = 0
            waiting = True

        # Accumulate coordinates
        x_ac.append(x_curr)
        y_ac.append(y_curr)

    else:
        if wait_i <= n_waiting:
            wait_i += 1
        else:
            wait_i = 0
            # Task 7.1.1
            x0 = xd
            y0 = yd
            xd = np.random.uniform(-1, 1)
            yd = np.random.uniform(-1, 1)
            waiting = False

    # Plot animation
    ax.clear()
    plt.plot(x_ac, y_ac)
    plt.plot(x_curr, y_curr, 'o')
    ax.set_xlim(-1, 1), ax.set_xticks([])
    ax.set_ylim(-1, 1), ax.set_yticks([])


# Construct the animation, using the update function as the animation director.
fig.set_tight_layout(False)
animation = FuncAnimation(fig, update, interval=10)
plt.show()