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‎D2_of_3Day_DoneWithPython.md‎

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```
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## 作者:Yupeng Jiang
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* 伦敦大学学院 数学系 (英国顶尖大学,2018 QS世界大学排名中位列世界第7名,英国第3名)
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* email:yupeng.jiang.13@ucl.ac.uk
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* email:yupeng.jiang.13atcl.ac.uk
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* 2016年6月5日
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* [课件来自] https://zhuanlan.zhihu.com/p/21332075
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## 翻译:Murphy Wan
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plt.plot(x, np.zeros_like(x), ’k-’)
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```
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* 注意:您的x轴在plt.plot函数中应与y轴的尺寸相同。 (Note: Your x-axis should be the same dimension to y-axis in plt.plot function.)
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![the simplest plot](https://github.com/MurphyWan/Python-first-Practice/blob/master/images/3days_img012_the_simplest_plot.jpg)
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```python
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```
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## 多个制图图例标签和标题 (Multiple plotting, legends, labels and title)
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```python
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import numpy as np
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import matplotlib.pyplot as plt
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x = np.linspace(0, 10, 201)
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plt.figure(figsize = (4, 4))
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for n in range(2, 5):
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y = x ** (1 / n)
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plt.plot(x, y, label=’x^(1/’ \
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+ str(n) + ’)’)
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plt.legend(loc = ’best’)
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plt.xlabel(’X axis’)
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plt.ylabel(’Y axis’)
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plt.xlim(-2, 10)
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plt.title(’Multi-plot e.g. ’, fontsize = 18)
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```
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![multiple-plotting](https://github.com/MurphyWan/Python-first-Practice/blob/master/images/3days_img013_multiple_plotting.jpg)
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* Forinformations:See
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```python
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help(plt.plot)
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```
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```python
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```
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## 绘制子图 (Subplots,即在 )
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```python
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import numpy as np’
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import matplotlib.pyplot as plt
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def pffcall(S, K):
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return np.maximum(S - K, 0.0)
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def pffput(S, K):
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return np.maximum(K - S, 0.0)
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S = np.linspace(50, 151, 100)
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fig = plt.figure(figsize=(12, 6))
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sub1 = fig.add_subplot(121) # col, row, num
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sub1.set_title('Call', fontsize = 18)
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plt.plot(S, pffcall(S, 100), 'r-', lw = 4)
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plt.plot(S, np.zeros_like(S), 'black',lw = 1)
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sub1.grid(True)
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sub1.set_xlim([60, 120])
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sub1.set_ylim([-10, 40])
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sub2 = fig.add_subplot(122)
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sub2.set_title('Put', fontsize = 18)
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plt.plot(S, pffput(S, 100), 'r-', lw = 4)
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plt.plot(S, np.zeros_like(S), 'black',lw = 1)
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sub2.grid(True)
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sub2.set_xlim([60, 120])
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sub2.set_ylim([-10, 40])
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```
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![multiple_plottion](https://github.com/MurphyWan/Python-first-Practice/blob/master/images/3days_img014_multiple_plotting.jpg)
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* Figure: 一个子图的例子
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(注释:这里,可以把Figure,即fig理解为一张大画布,你把它分成了两个子区域(sub1和sub2),然后在每个子区域各画了一幅图。)
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```python
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```
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## 在绘制的图上添加文本和注释 (Adding texts to plots)
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```python
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import numpy as np
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from scipy.stats import norm
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import matplotlib.pyplot as plt
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def call(S, K=100, T=0.5, vol=0.6, r=0.05):
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d1 = (np.log(S/K) + (r + 0.5 * vol**2) \
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*T) / np.sqrt(T) / vol
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d2 = (np.log(S/K) + (r - 0.5 * vol**2) \
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*T) / np.sqrt(T) / vol
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return S * norm.cdf(d1) - K * \
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np.exp(-r * T) * norm.cdf(d2)
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def delta(S, K=100, T=0.5, vol=0.6, r=0.05):
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d1 = (np.log(S/K) + (r + 0.5 * vol**2)\
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*T) / np.sqrt(T) / vol
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return norm.cdf(d1)
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```
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## (Code continues:)
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```python
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S = np.linspace(40, 161, 100)
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fig = plt.figure(figsize=(7, 6))
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ax = fig.add_subplot(111)
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plt.plot(S,(call(S)-call(100)),’r’,lw=1)
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plt.plot(100, 0, ’ro’, lw=1)
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plt.plot(S,np.zeros_like(S), ’black’, lw = 1)
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plt.plot(S,call(S)-delta(100)*S- \
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(call(100)-delta(100)*100), ’y’, lw = 1)
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```
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## (Code continues:)
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```python
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ax.annotate(’$\Delta$ hedge’, xy=(100, 0), \
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xytext=(110, -10),arrowprops= \
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dict(headwidth =3,width = 0.5, \
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facecolor=’black’, shrink=0.05))
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ax.annotate(’Original call’, xy= \
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(120,call(120)-call(100)),xytext\
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=(130,call(120)-call(100)),\
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arrowprops=dict(headwidth =10,\
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width = 3, facecolor=’cyan’, \
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shrink=0.05))
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plt.grid(True)
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plt.xlim(40, 160)
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plt.xlabel(’Stock price’, fontsize = 18)
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plt.ylabel(’Profits’, fontsize = 18)
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```
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![annotation](https://github.com/MurphyWan/Python-first-Practice/blob/master/images/3days_img015_annotation.jpg)
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```python
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```
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## 3D plot of a function with 2 variables
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```python
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import numpy as np
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import matplotlib.pyplot as plt
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from matplotlib import cm
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from mpl_toolkits.mplot3d import Axes3D
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x, y = np.mgrid[-5:5:100j, -5:5:100j]
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z = x**2 + y**2
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fig = plt.figure(figsize=(8, 6))
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ax = plt.axes(projection='3d')
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surf = ax.plot_surface(x, y, z, rstride=1,\
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cmap=cm.coolwarm, cstride=1, \
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linewidth=0)
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fig.colorbar(surf, shrink=0.5, aspect=5)
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plt.title('3D plot of $z = x^2 + y^2$')
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```
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![3D-plot](https://github.com/MurphyWan/Python-first-Practice/blob/master/images/3days_img016_3D_plot.jpg)
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```python
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```
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## 实验3:atplotlib (Lab 3: Matplotlib)
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* 用蓝线绘制以下函数 (Plot the following function with blue line)
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![1](https://github.com/MurphyWan/Python-first-Practice/blob/master/images/3days_img017_1.jpg)
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- 然后用红点标记坐标(1,2) (Then mark the coordinate (1, 2) with a red point.)
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* 使用np.linspace()使t ∈ [0,2π]。 然后给 (Use np.linspace0 to make t ∈ [0,2π]. Then give)
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![2](https://github.com/MurphyWan/Python-first-Practice/blob/master/images/3days_img017_2.jpg)
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- 针对X绘Y。 在这个情节中添加一个称为"Heart"的标题。 (Plot y against x. Add a title to this plot which is called "Heart" .)
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* 针对x∈[-10,10], y∈[-10,10], 绘制3D函数 (Plot the 3D function for x∈[-10,10], y∈[-10,10])
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![3](https://github.com/MurphyWan/Python-first-Practice/blob/master/images/3days_img017_3.jpg)
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```python
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```
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```python
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```
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```python
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```
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```python
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```
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```python
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```
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```python
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```
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```python
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```

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