一、繪制二維函數圖
1.1 繪制f(x)=sin2(x−2)e−x2f(x)=sin2(x−2)e−x2f(x) = sin2(x-2)e{-x^2}
代碼1：
import matplotlib.pyplot as plt
import numpy as np
plt.rcParams["font.sans-serif"]=['SimHei'] # 用于正常顯示中文标簽
plt.rcParams['axes.unicode_minus']=False # 用來正常顯示負号
x = np.linspace(-2.5,2,256,endpoint=True) # 繪制X軸（-2.5,2）的圖像
f =(np.sin(x-2))**2*(np.e)**(-x**2) # y值
plt.plot(x,f,"g-",lw=2.5,label="f(x)")
plt.title('f(x) = sin^2(x-2)e^{-x^2}函數圖')
plt.legend()
plt.show()
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代碼2（對于複雜函數，我們可以将其拆分成多單一函數）
分析：sin^2(x-2)e^{-x^2}分解：
sin(x1)*sin(x1)*e^x2
其中：x1 = x-2; x2 = -x^2
import matplotlib.pyplot as plt
import numpy as np
plt.rcParams['font.sans-serif'] = ['SimHei'] # 用來正常顯示中文标簽
plt.rcParams['axes.unicode_minus'] = False # 用來正常顯示負号
x = np.linspace(0, 2,300, endpoint=True)
x_1 = x-2
S_1 = np.sin(x_1)
S_2 = S_1**2
E_1 = -x**2
E_2 = np.exp(E_1)
f = S_2*E_2
plt.figure(figsize = ((8,6))) # 設定畫布大小（可省略）
plt.plot(x,f,'b-',lw=2.5,label='f(x)=sin^2(x-2)e^{-x^2}')
plt.legend() # 顯示圖例 
1.2 、繪制 sigmoid函數圖:f(x)=sin2(x−2)e−x2f(x)=sin2(x−2)e−x2f(x) = sin2(x-2)e{-x^2}
import matplotlib.pyplot as plt
import numpy as np
plt.rcParams['font.sans-serif'] = ['SimHei'] # 用來正常顯示中文标簽
plt.rcParams['axes.unicode_minus'] = False # 用來正常顯示負号
x = np.linspace(-10, 10,300, endpoint=True)
E_1 = -x
E_2 = np.exp(E_1)
f = 1/(1+E_2)
plt.figure(figsize = ((8,6))) # 設定畫布大小（可省略）
ax1 = plt.subplot(111)
plt.plot(x,f,'b-',lw=2.5,label='f(x)=\\frac{1}{1+e^{-x}}')
plt.legend() # 顯示圖例
ax1.grid(True) # 顯示網格 
1.3、繪制正态分布圖
其中 s 為 σ
σ
, m為 μ
μ
import math
import matplotlib.pyplot as plt
import numpy as np
def gd(x,m,s): #其中s為sigma ,m為 mu
left=1/(math.sqrt(2*math.pi)*s)
right=math.exp(-math.pow(x-m,2)/(2*math.pow(s,2)))
return left*right
def showfigure():
plt.figure(figsize = ((8,6))) #設定畫布大小（可省略）
x=np.arange(-4,5,0.1) #繪制x（-4,5）
y=[]
for i in x:
y.append(gd(i,0,1)) #m為0，s為1
plt.plot(x,y)
plt.xlim(-4.0,5.0)
plt.ylim(-0.2,0.5)
ax = plt.gca()
ax.spines['right'].set_color('none')
ax.spines['top'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))
#設定并添加标簽
label_f1 = "$\mu=0,\ \sigma=1$"
plt.text(2.5,0.3,label_f1,fontsize=15,verticalalignment="top",
horizontalalignment="left")
label_f2 = r"$f(x)=\frac{1}{\sqrt{2\pi}\sigma}exp(-\frac{(x-\mu)^2}{2\sigma^2})$"
plt.text(1.5,0.4,label_f2,fontsize=15,verticalalignment="top"
,horizontalalignment="left")
plt.show()
def main(): 二、繪制三維圖
2.1 繪制三維螺旋圖
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure(figsize = ((8,6)))
ax = fig.add_subplot(1,1,1,projection='3d')
theta = np.linspace(-4 * np.pi, 4 * np.pi, 500) # theta旋轉角從-4pi到4pi，相當于兩圈
z = np.linspace(0, 2, 500) # z軸從下到上,從-2到2之間畫100個點
r = z # 半徑設定為z大小
x = r * np.sin(theta) # x和y畫圓
y = r * np.cos(theta) # x和y畫圓
ax.plot(x, y, z, label='curve')
ax.legend() # 圖例 2.2 繪制三維線性點圖
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure()
ax = fig.add_subplot(1,1,1,projection='3d')
x = np.linspace(0, 5, 10) # 在0-5之間生成10個點的向量
y = np.linspace(0, 5, 10) # 在0-5之間生成10個點的向量
z1 = x
z2 = 2*x
z3 = 3*x
ax.scatter(xx, yy, zz1, c='red', marker='o') # o型符号
ax.scatter(xx, yy, zz2, c='green', marker='^') # 三角型符号
ax.scatter(xx, yy, zz3, c='black', marker='*') # 星型符号
ax.legend() # 顯示圖例 2.3 繪制三維柱狀圖
import random
import matplotlib as mpl
import matplotlib.dates as mdates
from mpl_toolkits.mplot3d import Axes3D
plt.rcParams['font.sans-serif'] = ['SimHei'] # 用來正常顯示中文标簽
plt.rcParams['axes.unicode_minus'] = False # 用來正常顯示負号
mpl.rcParams['font.size'] = 10
fig = plt.figure(figsize=((8,6)))
ax = fig.add_subplot(111, projection='3d')
for z in [2011, 2012, 2013, 2014]:
xs = range(1,13)
ys = 1000 * np.random.rand(12)
color = plt.cm.Set2(random.choice(range(plt.cm.Set2.N)))
ax.bar(xs, ys, zs=z, zdir='y', color=color, alpha=0.8)
ax.xaxis.set_major_locator(mpl.ticker.FixedLocator(xs))
ax.yaxis.set_major_locator(mpl.ticker.FixedLocator(ys))
ax.set_xlabel('月份')
ax.set_ylabel('年份')
ax.set_zlabel('銷售額 ')
plt.show() 2.4 繪制三維 鞍部 曲面圖
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from matplotlib import cm
n_angles = 1000 #曲面銜接角度（平滑度）
n_radii = 20 #鞍部半徑（1：銳角，20：平滑角）
fig = plt.figure(figsize=((10,10)))
radii = np.linspace(0.125, 1.0, n_radii)
angles = np.linspace(0, 2 * np.pi, n_angles, endpoint=False)
angles = np.repeat(angles[..., np.newaxis], n_radii, axis=1)
x = np.append(0, (radii * np.cos(angles)).flatten())
y = np.append(0, (radii * np.sin(angles)).flatten())
z = np.sin(-x * y)
fig = plt.figure()
ax = fig.gca(projection='3d')
ax.plot_trisurf(x, y, z,
cmap=cm.jet, #曲面顔色
linewidth=0.2) 2.5 繪制山區圖 f(x)=sin2(x−2)e−x2f(x)=sin2(x−2)e−x2f(x) = sin2(x-2)e{-x^2}
import numpy as np
import matplotlib.pyplot as plt
import mpl_toolkits.mplot3d
x,y = np.mgrid[-2:2:100j,-2:2:100j] #100j為設定曲面平滑度
z=x*np.exp(-x**2-y**2)
ax = plt.subplot(111, projection='3d')
ax.set_title('山區圖');
ax.plot_surface(x,y,z,rstride=2, cstride=1, cmap=cm.jet)
ax.set_xlabel('X') #設定坐标軸标簽
ax.set_ylabel('Y')
ax.set_zlabel('Z')
plt.show() 2.6 三維動态圖
from pyecharts import Bar3D
bar3d = Bar3D("3D 柱狀圖示例", width=1200, height=600)
x_axis = ["12a", "1a", "2a", "3a", "4a", "5a", "6a", "7a", "8a", "9a", "10a", "11a",
"12p", "1p", "2p", "3p", "4p", "5p", "6p", "7p", "8p", "9p", "10p", "11p"]
y_axis = [ "Saturday", "Friday", "Thursday", "Wednesday", "Tuesday", "Monday", "Sunday"]
data = [
[0, 0, 5], [0, 1, 1], [0, 2, 0], [0, 3, 0], [0, 4, 0], [0, 5, 0],
[0, 6, 0], [0, 7, 0], [0, 8, 0], [0, 9, 0], [0, 10, 0], [0, 11, 2],
[0, 12, 4], [0, 13, 1], [0, 14, 1], [0, 15, 3], [0, 16, 4], [0, 17, 6],
[0, 18, 4], [0, 19, 4], [0, 20, 3], [0, 21, 3], [0, 22, 2], [0, 23, 5],
[1, 0, 7], [1, 1, 0], [1, 2, 0], [1, 3, 0], [1, 4, 0], [1, 5, 0],
[1, 6, 0], [1, 7, 0], [1, 8, 0], [1, 9, 0], [1, 10, 5], [1, 11, 2],
[1, 12, 2], [1, 13, 6], [1, 14, 9], [1, 15, 11], [1, 16, 6], [1, 17, 7],
[1, 18, 8], [1, 19, 12], [1, 20, 5], [1, 21, 5], [1, 22, 7], [1, 23, 2],
[2, 0, 1], [2, 1, 1], [2, 2, 0], [2, 3, 0], [2, 4, 0], [2, 5, 0],
[2, 6, 0], [2, 7, 0], [2, 8, 0], [2, 9, 0], [2, 10, 3], [2, 11, 2],
[2, 12, 1], [2, 13, 9], [2, 14, 8], [2, 15, 10], [2, 16, 6], [2, 17, 5],
[2, 18, 5], [2, 19, 5], [2, 20, 7], [2, 21, 4], [2, 22, 2], [2, 23, 4],
[3, 0, 7], [3, 1, 3], [3, 2, 0], [3, 3, 0], [3, 4, 0], [3, 5, 0],
[3, 6, 0], [3, 7, 0], [3, 8, 1], [3, 9, 0], [3, 10, 5], [3, 11, 4],
[3, 12, 7], [3, 13, 14], [3, 14, 13], [3, 15, 12], [3, 16, 9], [3, 17, 5],
[3, 18, 5], [3, 19, 10], [3, 20, 6], [3, 21, 4], [3, 22, 4], [3, 23, 1],
[4, 0, 1], [4, 1, 3], [4, 2, 0], [4, 3, 0], [4, 4, 0], [4, 5, 1],
[4, 6, 0], [4, 7, 0], [4, 8, 0], [4, 9, 2], [4, 10, 4], [4, 11, 4],
[4, 12, 2], [4, 13, 4], [4, 14, 4], [4, 15, 14], [4, 16, 12], [4, 17, 1],
[4, 18, 8], [4, 19, 5], [4, 20, 3], [4, 21, 7], [4, 22, 3], [4, 23, 0],
[5, 0, 2], [5, 1, 1], [5, 2, 0], [5, 3, 3], [5, 4, 0], [5, 5, 0],
[5, 6, 0], [5, 7, 0], [5, 8, 2], [5, 9, 0], [5, 10, 4], [5, 11, 1],
[5, 12, 5], [5, 13, 10], [5, 14, 5], [5, 15, 7], [5, 16, 11], [5, 17, 6],
[5, 18, 0], [5, 19, 5], [5, 20, 3], [5, 21, 4], [5, 22, 2], [5, 23, 0],
[6, 0, 1], [6, 1, 0], [6, 2, 0], [6, 3, 0], [6, 4, 0], [6, 5, 0],
[6, 6, 0], [6, 7, 0], [6, 8, 0], [6, 9, 0], [6, 10, 1], [6, 11, 0],
[6, 12, 2], [6, 13, 1], [6, 14, 3], [6, 15, 4], [6, 16, 0], [6, 17, 0],
[6, 18, 0], [6, 19, 0], [6, 20, 1], [6, 21, 2], [6, 22, 2], [6, 23, 6]
]
range_color = ['#313695', '#4575b4', '#74add1', '#abd9e9', '#e0f3f8', '#ffffbf',
'#fee090', '#fdae61', '#f46d43', '#d73027', '#a50026']
bar3d.add("", x_axis, y_axis, [[d[1], d[0], d[2]] for d in data],
is_visualmap=True, visual_range=[0, 20],
visual_range_color=range_color,
grid3d_width=200, grid3d_depth=80,
grid3d_shading='lambert', #柱狀圖顯示更真實（可省略）
is_grid3d_rotate=True, #自動旋轉（可省略）
grid3d_rotate_speed=10) #旋轉速度（可省略）
bar3d.render()