IA 2022-12-07

import matplotlib.pyplot as plt
import numpy as np

def referencial():
    fig = plt.figure()
    #https://matplotlib.org/stable/api/figure_api.html?highlight=add_subplot#matplotlib.figure.Figure.add_subplot
    theAxes = fig.add_subplot(1, 1, 1) #controls the organization of the figure (e.g. 1x1, 2x2) and the index of the 1st contained sub figure, if not 1x1
    theAxes.spines['left'].set_position('center') #forces the left spine to be at the center
    theAxes.spines['bottom'].set_position('zero') #forces the bottom spine to be plotted at zero
    theAxes.spines['right'].set_color('none') #makes the right spine invisible
    theAxes.spines['top'].set_color('none') #makes the top spine invisible
    theAxes.xaxis.set_ticks_position('bottom') # controls where the x points' labels are written
    theAxes.yaxis.set_ticks_position('left') #controls where the y points' labels are written
# def referencial

"""
rispid limit
x<0 ; y=-1
x>0 ; y=1
"""
x_axis_xlt0 = np.linspace(-5, 0, 100)
x_axis_xgt0 = np.linspace(0, 5, 100)
y_axis_xlt0 = np.linspace(-1, -1, 100)
y_axis_xgt0 = np.linspace(1, 1, 100)
referencial()
plt.plot(x_axis_xlt0, y_axis_xlt0)
plt.plot(x_axis_xgt0, y_axis_xgt0)
plt.show()


# TODO 1

"""
ramp function  = relu
x<0 ; y=0
0<=x<=1 ; y=x
x>1 ; y=1
"""

# TODO 2

"""
sigmoid
y = 1/(1+e**-x)
"""
x_axis = np.linspace(-5, 5, 100)
y_axis = 1/(1+np.e**(-1*x_axis))
referencial()
plt.plot(x_axis, y_axis)
plt.show()


# TODO 3

"""
hyperbolic tangent
(e**x - e**-x) / (e**x + e**-x)
"""
x_axis = np.linspace (-10, 10, 1000)
y_axis = (np.e**x_axis - np.e**(-1*x_axis)) / (np.e**x_axis + np.e**(-1*x_axis))
referencial()
plt.plot(x_axis, y_axis)
plt.title("Hyperbolic tangent")
plt.show()



# TODO 4