%matplotlib widget

import numpy as np
import matplotlib.pyplot as plt

# static figure
bound = 8
lw = 4
x,y = 3.0, 5.0

with plt.ioff():
    dpi = 72
    fig, ax = plt.subplots(figsize=(350/dpi, 350/dpi), dpi=dpi)

ax.plot(
    (-bound,bound),
    (0,0),
    lw = 1,
    c = (0,0,0),
)
ax.plot(
    (0,0),
    (-bound,bound),
    lw = 1,
    c = (0,0,0),
)


# plot user-specified value
ax.plot(
    (0,x),
    (0,0),
    lw = lw,
    c = (0, 0.7, 0, 0.5),
)
ax.plot(
    (0,0),
    (0,y),
    lw = lw,
    c = (0, 0.7, 0, 0.5),
)
ax.plot(
    (0,x),
    (0,y),
    lw = lw,
    c = (1, 0, 0, 0.5),
)
ax.scatter(
    x,
    y,
    marker='o',
    s=200,
    color=(1,0,0),
)

# angular spread
r = (x+y)/2.0
t_max = np.arctan2(y,x)
t = np.linspace(0,t_max,181)
xa = 0.5 * r * np.cos(t)
ya = 0.5 * r * np.sin(t)
ax.plot(
    xa,
    ya,
    lw = lw,
    c = (0, 0.7, 1, 0.5),
)

# text labels
ax.text(
    xa[90]+0.5,
    ya[90],
    r'$\phi$ = ' + 
    f'{np.rad2deg(t_max):.0f}' + 
    r'$\degree$',
    fontsize = 16,
)
ax.text(
    x*0.5,
    -1.2,
    f'{x:.2f}',
    fontsize = 16,
    horizontalalignment='center',
)
ax.text(
    -0.4,
    y*0.5,
    f'{y:.2f}' + r'$\it{i}$',
    fontsize = 16,
    horizontalalignment='right',
)
ax.text(
    x,
    y+1.2,
    'mag = ' + 
    f'{np.sqrt(x**2+y**2):.2f}',
    fontsize = 16,
    horizontalalignment='center',
)


ax.set_xlim((-bound,bound))
ax.set_ylim((-bound,bound))
ax.set_xlabel(
    'Real Value',
    fontsize = 16,
)
ax.set_ylabel(
    'Imaginary Value',
    fontsize = 16,
)

ax.grid()

fig.canvas.resizable = False
fig.canvas.header_visible = False
fig.canvas.footer_visible = False
fig.canvas.toolbar_visible = True
fig.canvas.layout.width = '400px'
fig.canvas.layout.height = '360px'
fig.canvas.toolbar_position = 'right'

fig.canvas