测试函数主要是用来评估优化算法特性的，这里我用python3绘制了部分测试函数的图像。具体的测试函数可以结合维基百科来了解。想要显示某个测试函数的图片把代码结尾对应的注释去掉即可，具体代码如下：

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

def draw_pic(X, Y, Z, z_max, title, z_min=0):

fig = plt.figure()

ax = Axes3D(fig)

ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.hot)

# ax.contourf(X, Y, Z, zdir='z', offset=-2, cmap=plt.cm.hot)

ax.set_zlim(z_min, z_max)

ax.set_title(title)

# plt.savefig("./myProject/Algorithm/pic/%s.png" % title) # 保存图片

plt.show()

def get_X_AND_Y(X_min, X_max, Y_min, Y_max):

X = np.arange(X_min, X_max, 0.1)

Y = np.arange(Y_min, Y_max, 0.1)

X, Y = np.meshgrid(X, Y)

return X, Y

# rastrigin测试函数

def Rastrigin(X_min = -5.52, X_max = 5.12, Y_min = -5.12, Y_max = 5.12):

A = 10

X, Y = get_X_AND_Y(X_min, X_max, Y_min, Y_max)

Z = 2 * A + X ** 2 - A * np.cos(2 * np.pi * X) + Y ** 2 - A * np.cos(2 * np.pi * Y)

return X, Y, Z, 100, "Rastrigin function"

# Ackley测试函数

def Ackley(X_min = -5, X_max = 5, Y_min = -5, Y_max = 5):

X, Y = get_X_AND_Y(X_min, X_max, Y_min, Y_max)

Z = -20 * np.exp(-0.2 * np.sqrt(0.5 * (X**2 + Y**2))) - \

np.exp(0.5 * (np.cos(2 * np.pi * X) + np.cos(2 * np.pi * Y))) + np.e + 20

return X, Y, Z, 15, "Ackley function"

# Sphere测试函数

def Sphere(X_min = -3, X_max = 3, Y_min = -3, Y_max = 3):

X, Y = get_X_AND_Y(X_min, X_max, Y_min, Y_max)

Z = X**2 + Y**2

return X, Y, Z, 20, "Sphere function"

# beale测试函数

def Beale(X_min = -4.5, X_max = 4.5, Y_min = -4.5, Y_max = 4.5):

X, Y = get_X_AND_Y(X_min, X_max, Y_min, Y_max)

Z = np.power(1.5 - X + X * Y, 2) + np.power(2.25 - X + X * (Y ** 2), 2) \

+ np.power(2.625 - X + X * (Y ** 3), 2)

return X, Y, Z, 150000, "Beale function"

# Booth测试函数

def Booth(X_min = -10, X_max = 10, Y_min = -10, Y_max = 10):

X, Y = get_X_AND_Y(X_min, X_max, Y_min, Y_max)

Z = np.power(X + 2*Y - 7, 2) + np.power(2 * X + Y - 5, 2)

return X, Y, Z, 2500, "Booth function"

# Bukin测试函数

def Bukin(X_min = -15, X_max = -5, Y_min = -3, Y_max = 3):

X, Y = get_X_AND_Y(X_min, X_max, Y_min, Y_max)

Z = 100 * np.sqrt(np.abs(Y - 0.01 * X**2)) + 0.01 * np.abs(X + 10)

return X, Y, Z, 200, "Bukin function"

# Three-hump camel测试函数

def three_humpCamel(X_min = -5, X_max = 5, Y_min = -5, Y_max = 5):

X, Y = get_X_AND_Y(X_min, X_max, Y_min, Y_max)

Z = 2 * X**2 - 1.05 * X**4 + (1/6) * X**6 + X*Y + Y*2

return X, Y, Z, 2000, "three-hump camel function"

# Hölder table测试函数

def Holder_table(X_min = -10, X_max = 10, Y_min = -10, Y_max = 10):

X, Y = get_X_AND_Y(X_min, X_max, Y_min, Y_max)

Z = -np.abs(np.sin(X) * np.cos(Y) * np.exp(np.abs(1 - np.sqrt(X**2 + Y**2)/np.pi)))

return X, Y, Z, 0, "Hölder table function", -20

z_min = None

# X, Y, Z, z_max, title = Rastrigin()

# X, Y, Z, z_max, title = Ackley()

# X, Y, Z, z_max, title = Sphere()

# X, Y, Z, z_max, title = Beale()

X, Y, Z, z_max, title = Booth()

# X, Y, Z, z_max, title = Bukin()

# X, Y, Z, z_max, title = three_humpCamel()

# X, Y, Z, z_max, title, z_min = Holder_table()

draw_pic(X, Y, Z, z_max, title, z_min)

以下是上述代码绘制的测试函数的图像：

感觉图像的颜色还不是很好看，等之后优化了来改

以上就是本文的全部内容，希望对大家的学习有所帮助，也希望大家多多支持龙方网络。