数据分析三剑客之Matplotlib

Matplotlib绘图和可视化

简介

我的前面两篇文章介绍了 Nimpy ,Pandas 。今天来介绍一下Matplotlib。

简单来说,Matplotlib 是 Python 的一个绘图库。它包含了大量的工具,你可以使用这些工具创建各种图形,包括简单的散点图,正弦曲线,甚至是三维图形。Python 科学计算社区经常使用它完成数据可视化的工作。

你可以在他们的网站上了解到更多 Matplotlib 背后的设计思想,但是我强烈建议你先浏览一下他们的图库,体会一下这个库的各种神奇功能。

画一个简单的图形

In [1]: import matplotlib.pyplot as plt

In [2]: import numpy as np

In [3]: x = np.linspace(0, 2 * np.pi, 50)

In [6]: plt.plot(x, np.sin(x))
Out[6]: [<matplotlib.lines.Line2D at 0x1dcdc98a748>] In [7]: plt.show()

上面的代码将画出一个简单的正弦曲线。np.linspace(0, 2 * np.pi, 50)这段代码将会生成一个包含 50 个元素的数组,这 50 个元素均匀的分布在 [0, 2pi] 的区间上。

plot命令以一种简洁优雅的方式创建了图形。提醒一下,如果没有第一个参数 x,图形的 x 轴坐标将不再是 0 到 2pi,而应该是数组的索引范围。

最后一行代码 plt.show()将图形显示出来,如果没有这行代码图像就不会显示。

运行代码后应该会类似得到下面的图形:

数据分析三剑客之Matplotlib

在一张图上绘制两个数据集

大多数时候读者可能更想在一张图上绘制多个数据集。用 Matplotlib 也可以轻松实现这一点。

In [15]: x = np.linspace(0, 2 * np.pi, 50)

In [16]: plt.plot(x, np.sin(x), x, np.sin(2*x))
Out[16]:
[<matplotlib.lines.Line2D at 0x1dcdb38a080>,
<matplotlib.lines.Line2D at 0x1dcdb38a1d0>] In [17]: plt.show()

上面的代码同时绘制了表示函数 sin(x) 和 sin(2x) 的图形。这段代码和前面绘制一个数据集的代码几乎完全相同,只有一点例外,这段代码在调用plt.plot()的时候多传入了一个数据集,并用逗号与第一个数据集分隔开。

最后你会得到类似于下面包含两条曲线的图形:

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" alt="" />

自定义图形的外观

当在同一个图形上展示多个数据集时,通过改变线条的外观来区分不同的数据集变得非常必要。

In [18]: x = np.linspace(0, 2*np.pi, 50)

In [19]: plt.plot(x, np.sin(x), 'r-o', x, np.cos(x), 'g--')
Out[19]:
[<matplotlib.lines.Line2D at 0x1dcdb695898>,
<matplotlib.lines.Line2D at 0x1dcdb695a20>] In [20]: plt.show()

上述代码展示了两种不同的曲线样式:'r-o' 和 'g--'。字母 'r' 和 'g' 代表线条的颜色,后面的符号代表线和点标记的类型。例如 '-o' 代表包含实心点标记的实线,'--' 代表虚线。其他的参数需要读者自己去尝试,这也是学习 Matplotlib 最好的方式。

颜色: 蓝色 - 'b' 绿色 - 'g' 红色 - 'r' 青色 - 'c' 品红 - 'm' 黄色 - 'y' 黑色 - 'k'('b'代表蓝色,所以这里用黑色的最后一个字母) 白色 - 'w' 线: 直线 - '-' 虚线 - '--' 点线 - ':' 点划线 - '-.' 常用点标记 点 - '.' 像素 - ',' 圆 - 'o' 方形 - 's' 三角形 - '^' 

更多点标记样式点击这里

最后你会得到类似下面的图形:

aaarticlea/png;base64,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" 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使用子图

使用子图可以在一个窗口绘制多张图。

In [21]: x = np.linspace(0, 2*np.pi, 50)

In [22]: plt.subplot(2, 1, 1)   # (行,列,活跃区)
Out[22]: <matplotlib.axes._subplots.AxesSubplot at 0x1dcdb6ba978> In [23]: plt.plot(x, np.sin(x), 'r')
Out[23]: [<matplotlib.lines.Line2D at 0x1dcdb7316d8>] In [24]: plt.subplot(2, 1, 2)
Out[24]: <matplotlib.axes._subplots.AxesSubplot at 0x1dcdb731ba8> In [25]: plt.plot(x, np.cos(x), 'g')
Out[25]: [<matplotlib.lines.Line2D at 0x1dcdb77bfd0>] In [26]: plt.show()

使用子图只需要一个额外的步骤,就可以像前面的例子一样绘制数据集。即在调用 plot() 函数之前需要先调用 subplot() 函数。该函数的第一个参数代表子图的总行数,第二个参数代表子图的总列数,第三个参数代表活跃区域。

活跃区域代表当前子图所在绘图区域,绘图区域是按从左至右,从上至下的顺序编号。例如在 4×4 的方格上,活跃区域 6 在方格上的坐标为 (2, 2)。

最终你会得到类似下面的图形:

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" 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简单的散点图

散点图是一堆离散点的集合。用 Matplotlib 画散点图也同样非常简单。

In [27]: x = np.linspace(0, 2*np.pi, 50)

In [28]: y = np.sin(x)

In [29]: plt.scatter(x, y)
Out[29]: <matplotlib.collections.PathCollection at 0x1dcddb706a0> In [30]: plt.show()

正如上面代码所示,你只需要调用 scatter() 函数并传入两个分别代表 x 坐标和 y 坐标的数组。注意,我们通过 plot 命令并将线的样式设置为 'bo' 也可以实现同样的效果。

最后你会得到类似下面的无线图形:

aaarticlea/png;base64,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" alt="" />

彩色映射散点图

另一种你可能用到的图形是彩色映射散点图。这里我们会根据数据的大小给每个点赋予不同的颜色和大小,并在图中添加一个颜色栏。

In [31]: x = np.random.rand(1000)

In [32]: y = np.random.rand(1000)

In [33]: size = np.random.rand(1000) * 50

In [34]: colour = np.random.rand(1000)

In [35]: plt.scatter(x, y, size, colour)
Out[35]: <matplotlib.collections.PathCollection at 0x1dcdde984e0> In [36]: plt.colorbar()
Out[36]: <matplotlib.colorbar.Colorbar at 0x1dcddece0b8> In [37]: plt.show()

上面的代码大量的用到了 np.random.rand(1000),原因是我们绘图的数据都是随机产生的。

同前面一样我们用到了 scatter() 函数,但是这次我们传入了另外的两个参数,分别为所绘点的大小和颜色。通过这种方式使得图上点的大小和颜色根据数据的大小产生变化。

然后我们用 colorbar() 函数添加了一个颜色栏。

最后你会得到类似于下面的彩色散点图:

aaarticlea/png;base64,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" alt="" />

直方图

直方图是另一种常见的图形,也可以通过几行代码创建出来。

In [38]: x = np.random.randn(1000)

In [39]: plt.hist(x, 50)
Out[39]:
(array([ 2., 0., 0., 1., 2., 2., 1., 0., 1., 1., 9., 6., 11.,
16., 20., 18., 23., 26., 34., 25., 42., 31., 52., 40., 38., 56.,
35., 49., 49., 41., 44., 46., 46., 31., 30., 32., 26., 24., 24.,
16., 8., 5., 12., 4., 4., 5., 2., 7., 2., 1.]),
array([-3.32384545, -3.20164134, -3.07943724, -2.95723314, -2.83502904,
-2.71282494, -2.59062084, -2.46841674, -2.34621264, -2.22400854,
-2.10180443, -1.97960033, -1.85739623, -1.73519213, -1.61298803,
-1.49078393, -1.36857983, -1.24637573, -1.12417163, -1.00196752,
-0.87976342, -0.75755932, -0.63535522, -0.51315112, -0.39094702,
-0.26874292, -0.14653882, -0.02433471, 0.09786939, 0.22007349,
0.34227759, 0.46448169, 0.58668579, 0.70888989, 0.83109399,
0.95329809, 1.0755022 , 1.1977063 , 1.3199104 , 1.4421145 ,
1.5643186 , 1.6865227 , 1.8087268 , 1.9309309 , 2.05313501,
2.17533911, 2.29754321, 2.41974731, 2.54195141, 2.66415551,
2.78635961]),
<a list of 50 Patch objects>) In [40]: plt.show()

直方图是 Matplotlib 中最简单的图形之一。你只需要给 hist() 函数传入一个包含数据的数组。第二个参数代表数据容器的个数。数据容器代表不同的值的间隔,并用来包含我们的数据。数据容器越多,图形上的数据条就越多。

最终你会得到类似下面的直方图:

aaarticlea/png;base64,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" alt="" />

标题,标签和图例

当需要快速创建图形时,你可能不需要为图形添加标签。但是当构建需要展示的图形时,你就需要添加标题,标签和图例。

In [41]: x = np.linspace(0, 2*np.pi, 50)

In [42]: plt.plot(x, np.sin(x), 'r-x', label='Sin(x)')
Out[42]: [<matplotlib.lines.Line2D at 0x1dcde55db00>] In [43]: plt.plot(x, np.cos(x), 'g-^', label='Cos(x)')
Out[43]: [<matplotlib.lines.Line2D at 0x1dcde282ac8>] In [44]: plt.legend() # 展示图例
Out[44]: <matplotlib.legend.Legend at 0x1dcde282dd8> In [45]: plt.xlabel('Rads') # 给x轴添加标签
Out[45]: Text(0.5,0,'Rads') In [46]: plt.ylabel('Amplitude') # 给y轴添加标签
Out[46]: Text(0,0.5,'Amplitude') In [47]: plt.title('Sin and Cos Waves') # 添加图形标题
Out[47]: Text(0.5,1,'Sin and Cos Waves') In [48]: plt.show()

为了给图形添加图例,我们需要在 plot() 函数中添加命名参数 'label' 并赋予该参数相应的标签。然后调用 legend() 函数就会在我们的图形中添加图例。

接下来我们只需要调用函数 title()xlabel() 和 ylabel() 就可以为图形添加标题和标签。

你会得到类似于下面这张拥有标题、标签和图例的图形:

aaarticlea/png;base64,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" alt="" />

饼图

饼图阴影、分裂等属性设置:

# labels参数设置每一块的标签;

# labeldistance参数设置标签距离圆心的距离(比例值)

# autopct参数设置比例值小数保留位(%.3f%%);

# pctdistance参数设置比例值文字距离圆心的距离

# explode参数设置每一块顶点距圆心的长度(比例值,列表);

# colors参数设置每一块的颜色(列表);

# shadow参数为布尔值,设置是否绘制阴影

# startangle参数设置饼图起始角度

饼图适合展示各部分占总体的比例,条形图适合比较各部分的大小

In [51]: x = [11, 22, 33, 44]

In [52]: plt.pie(x, labels=['a', 'b', 'c', 'd'])
Out[52]:
([<matplotlib.patches.Wedge at 0x1dcde8894a8>,
<matplotlib.patches.Wedge at 0x1dcde8899b0>,
<matplotlib.patches.Wedge at 0x1dcde889e80>,
<matplotlib.patches.Wedge at 0x1dcde891390>],
[Text(1.04616,0.339919,'a'),
Text(0.339919,1.04616,'b'),
Text(-1.04616,0.339919,'c'),
Text(0.339919,-1.04616,'d')]) In [53]: plt.show()

最终你会得到类似下面的饼图:

aaarticlea/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWQAAADuCAYAAAAOR30qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAHSpJREFUeJzt3XmcXFWd9/HPre7s6VQIWYgQSIAQi3gTEtYAAcRRRlph2AkoBY4LBALj+iC4lBs0Ag+CCrhCjfqoDAqyOY4wA0kUJAmaVGJVWJs1IRC6q7vTS3XVPc8ftxkiJqaXqj53+b5fr3p1A3bVF1/0N7dO/e45jjEGERGxL2E7gIiI+FTIIiIBoUIWEQkIFbKISECokEVEAkKFLCISECpkEZGAUCGLiASECllEJCBUyCIiAaFCFhEJCBWyiEhAqJBFRAJChSwiEhAqZBGRgFAhi4gEhApZRCQgVMgiIgGhQhYRCQgVslSN4zgzHcdZbzuHSFipkEVEAkKFLNVW7zhO1nGcdY7j3Ok4zljbgUTCQoUs1TYH+L4xZh7QBiy1nEckNFTIUm0vGmP+0Pf9T4GjbYYRCRMVslSb2cVfi8hOqJCl2vZ2HGdR3/dLgJU2w4iEiQpZqi0PpB3HWQdMAm6xnEckNBxj9I5SRCQIdIUsIhIQKmQRkYCotx1AZKcyyXHAOGD8Dr6++X09UAJ6tvvas4u/1wN0kym2D+O/jcguaQ1ZhkcmORrYcyeP6cAE/rZ0x1L7d3AlYDOwaRePLWSKlRpnEVEhS5VkkglgH2AWsG/f1+2/n2ov3JB5wBbeKugXgELfIw+8SKaoXyQZMhWyDFwmORKYCywEFvQ95uNf2cbRNmAjfjlvANYBa8kUX7KaSkJHhSz/WCY5Hr9sF/BWAc8FRtiMFRJbgbXbPdYAG3Q1LTujQpa3ZJJ1wOHAUbxVvrPRNE41bQWWA/8DPAysV0HLm1TIcZdJ7gu8r+9xPJC0Gyh2Xscv6IdRQceeCjluMskkfvG+WcL72g0kb/Maf1vQWuKIERVy1L21DPFe/AI+DM2fh8lrwG+B/wD+i0yxZDmP1JAKOYr8KYgTgXPwS1jLENHQCvwGuAP4PZlir+U8UmUq5CjJJI8CPgycgb/TmkRXC3A3fjk/SKZYtpxHqkCFHHaZ5AH4JXwu/g0YEj9vAHfhL2s8pHIOLxVyGGWSU/A3f/8QcKjlNBIsW/HL+cdkio/aDiMDo0IOi0xyDHAy/tXw+9AHc7Jrq4CbgDv0YWA4qJCDLpN8B3Ax8Algd8tpJJw2A7cCt5Ipvmo7jOycCjmoMsmFwCeBs9BtylIdJfwPAW8kU1xtO4z8PRVykGSSDvAB4DPAMZbTSLQ9CtwI/EofAgaHCjkI/Js3zgQ+D7iW00i8vAzcjL+c8YbtMHGnQrbJv4EjDXwO2N9yGom3NuAG4HqdpGKPCtkG/4r4Y8CVwF6W04hsbytwDfAdMsUu22HiRoU83DLJ44FvoaUJCbZXuszITKrn9tuamxq1xjxMVMjDxd/m8jrgFNtRRHalbBIvn1u6ovgnc2Ad8LnmpsZ7bGeKAxVyrfknblyJP8I2ynIakV3aYpJrTui5ZlYLE7bfD+Uh4NPNTY1rbeWKAxVyrfgjbGngKvxTlUUCzRjM77xDll/U+2+LDYkdnRLjAbcDVzY3NW4e3nTxoEKuhUxyEf6Mp/aZkFAwhuJny5/YeGfl2MP68T8vApc1NzVma50rblTI1ZRJTsdfJz7HdhSR/uo0ozY2lr4x5jnzjr0H+KP3Ah/X1XL16PDKaskkT8I//l1lLKHxV2/vlQt7bt17EGUM8EFgw8zL719S7VxxpSvkofJ3YbseuMh2FJH+MoaemysnPX5t+ezFVXrKO4GlzU2Nr1Xp+WJJhTwUmeQ84OfAgbajiPRX2SRePqd0ZfFxk6r2f7dbgAubmxrvqvLzxoYKeTD8CYpL8e9o0iibhMZORtqq7WfAsuamxpYavkYkqZAHKpOcij/6837LSUT6zR9pO/SRi3ovO2YnI23V9grw0eamxt8Ow2tFhgp5IDLJ9wO3AdNsRxHpL8/Q+tneC5/6lXfMcI9hGvyZ5auH+XVDS4XcH5nkCOCbwGWAYzmNSL91mlEbTyxdNbbZTJ9hMUYWfzxOx0jtggp5VzLJBuDXwD/ZjiIyEBu8fVaeWvrKIT2MHG07C7ACOKW5qXGr7SBBpkL+RzLJacBvgQW2o4j0lzH0fLdy8uPXlc+q1khbtTwDfKC5qbFgO0hQqZB3JpOcDfwOmGU7ikh/lU3ipXNKV7bVYKStWlqBM5qbGh+0HSSIVMg7kkkeBtwHTLEdRaS/tpiJq0/oadq3xiNt1VDGH4u71XaQoFEhv10meSL+ybzjbEcR6Q9jMP/pHbp8ae9lO9ulLahuxN/Ss2I7SFCokLeXSZ4P/ACot5xEpF88Q+uney966i5vcVh3FvwNcLpOJfGpkN+USV4JfN12DJH+6jSjCieWrhpneaStGn4OfKi5qdGzHcS2ML29qZ1M8gZUxhIi672ZKxb0fG9mBMoYYAnwXdshgkCFnElmgH+zHUOkP4yh59vlf1nxgdJViwMyX1wtF868/P4m2yFsi/eSRSZ5EXCz7Rgi/VE2iZeWlL7Qvsq8M2U7Sw19vrmpMbbFHN9CziTPAH6B3iVI*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" alt="" />

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