#!/usr/bin/env python
# coding: utf-8

# In[1]:


from matplotlib import pyplot as plt
import numpy as np
get_ipython().run_line_magic('matplotlib', 'notebook')

def f_1(x):
    return 3/(x-1)

def f_2(x):
    return 3/(x+2) - 4

def test(x):
    k = -4/3
    b = -8/3
    return k*x + b
x = np.linspace(-0.99, 0)
plt.plot(x, f_1(x))
plt.plot(x, f_2(x))
plt.plot(x, test(x))


# In[12]:


x_0 = 1
y_0 = 1
a = 0.5
an = np.linspace(0, 2 * np.pi, 100)
plt.plot(1 * np.cos(an), 1 * np.sin(an))
plt.axvline(x_0 + a)
plt.axvline(x_0 - a)
plt.axhline(y_0 + a)
plt.axhline(y_0 - a)
plt.ylim(-2,2)
plt.xlim(-2,2)


# In[7]:


get_ipython().run_line_magic('matplotlib', 'inline')
from ipywidgets import interactive
import matplotlib.pyplot as plt
import numpy as np
import seaborn

an = np.linspace(0, 2 * np.pi, 100)
plt.plot(1 * np.cos(an), 1 * np.sin(an))
plt.ylim(-2,2)
plt.xlim(-2,2)

def f(x_0, y_0, a):
    plt.plot(1 * np.cos(an), 1 * np.sin(an))
    plt.axvline(x_0 + a)
    plt.axvline(x_0 - a)
    plt.axhline(y_0 + a)
    plt.axhline(y_0 - a)
    plt.ylim(-3,3)
    plt.xlim(-3,3)
    plt.show()

interactive_plot = interactive(f, x_0=(-3.0, 3.0), y_0=(-3.0, 3.0), a = (0,5.0))
output = interactive_plot.children[-1]
output.layout.height = '350px'
interactive_plot