[每日一氵]三种多类情况，判别界面和每一个模式类别的区域代码

三种多类情况，判别界面和每一个模式类别的区域代码

写的作业，顺手放上来

# 多类情况1
import numpy as np
import matplotlib.pyplot as plt

d1 = lambda x, y : -x
f1 = lambda x: x-x

def d2(x1, x2):
    return x1 + x2 - 1
f2 = lambda x : 1 - x

def d3(x1, x2):
    return x1 - x2 - 1
f3 = lambda x : x - 1

x1 = np.arange(-20, 20, 1.3)
x2 = np.arange(-20, 20, 1.33)
X1, X2 = np.meshgrid(x1, x2)


plt.figure()
show1 = (d1(X1, X2) > 0) & (d2(X1, X2) < 0) & (d3(X1, X2) < 0)
show1_x = X1[show1]
show1_y = X2[show1]

plt.scatter(show1_x, show1_y, c="r", label="1", s=1)
plt.plot(f1(x2), x2, label="$x_1=0$")



show2 = (d2(X1, X2) > 0) & (d1(X1, X2) < 0) & (d3(X1, X2) < 0)
show2_x = X1[show2]
show2_y = X2[show2]

plt.scatter(show2_x, show2_y, c="b", label="2", s=1)
plt.plot(x1, f2(x1), label="$x_2 = 1-x_1$")



show3 = (d3(X1, X2) > 0) & (d1(X1, X2) < 0) & (d2(X1, X2) < 0)
show3_x = X1[show3]
show3_y = X2[show3]

plt.scatter(show3_x, show3_y, c="g", label="3", s=1)
plt.plot(x1, f3(x1), label="$x_2=x_1-1$")

plt.legend()
plt.show()

# ------------------------------------------
# 多类情况2
import numpy as np
import matplotlib.pyplot as plt

d1 = lambda x, y : -x
f1 = lambda x: x-x

def d2(x1, x2):
    return x1 + x2 - 1
f2 = lambda x : 1 - x

def d3(x1, x2):
    return x1 - x2 - 1
f3 = lambda x : x - 1


d12 = d1
d13 = d2
d23 = d3

d21 = lambda x, y:-d12(x,y)
d31 = lambda x, y:-d13(x,y)
d32 = lambda x, y:-d23(x,y)


x1 = np.arange(-20, 20, 1.3)
x2 = np.arange(-20, 20, 1.33)
X1, X2 = np.meshgrid(x1, x2)


plt.figure()
show1 = (d12(X1, X2) > 0) & (d13(X1, X2) > 0)
show1_x = X1[show1]
show1_y = X2[show1]

plt.scatter(show1_x, show1_y, c="r", label="1", s=1)
plt.plot(f1(x2), x2, label="$x_1=0$")



show2 = (d23(X1, X2) > 0) & (d21(X1, X2) > 0)
show2_x = X1[show2]
show2_y = X2[show2]

plt.scatter(show2_x, show2_y, c="b", label="2", s=1)
plt.plot(x1, f2(x1), label="$x_2 = 1-x_1$")



show3 = (d31(X1, X2) > 0) & (d32(X1, X2) > 0)
show3_x = X1[show3]
show3_y = X2[show3]

plt.scatter(show3_x, show3_y, c="g", label="3", s=1)
plt.plot(x1, f3(x1), label="$x_2=x_1-1$")

plt.legend()
plt.show()


# --------------------------------------

# 多类情况3
import numpy as np
import matplotlib.pyplot as plt

d1 = lambda x, y : -x
f1 = lambda x: x-x

def d2(x1, x2):
    return x1 + x2 - 1
f2 = lambda x : 1 - 2*x

def d3(x1, x2):
    return x1 - x2 - 1
f3 = lambda x : 2*x - 1

x1 = np.arange(-20, 20, 1.8)
x2 = np.arange(-20, 20, 1.8)
X1, X2 = np.meshgrid(x1, x2)

plt.figure()
show1 = (d1(X1, X2) > d2(X1, X2)) & (d1(X1, X2) > d3(X1, X2))
show1_x = X1[show1]
show1_y = X2[show1]

plt.scatter(show1_x, show1_y, c="r", label="1", s=5)
plt.plot(x1, f1(x1), label="$x_2=0$")



show2 = (d2(X1, X2) > d1(X1, X2)) & (d2(X1, X2) > d3(X1, X2))
show2_x = X1[show2]
show2_y = X2[show2]

plt.scatter(show2_x, show2_y, c="b", label="2", s=5)
plt.plot(x1, f2(x1), label="$x_2 = -2x_1+1$")



show3 = (d3(X1, X2) > d1(X1, X2)) & (d3(X1, X2) > d2(X1, X2))
show3_x = X1[show3]
show3_y = X2[show3]

plt.scatter(show3_x, show3_y, c="g", label="3", s=5)
plt.plot(x1, f3(x1), label="$x_2=2x_1-1$")
plt.legend()
plt.show()