mirror of
https://github.com/apachecn/ailearning.git
synced 2026-05-01 05:51:01 +08:00
2020-10-19 21:08:55
This commit is contained in:
wizardforcel
@@ -2,7 +2,7 @@
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In [1]:
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```
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```py
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import numpy as np
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import matplotlib.pyplot as plt
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%matplotlib inline
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@@ -13,7 +13,7 @@ import matplotlib.pyplot as plt
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In [2]:
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```
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```py
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np.set_printoptions(precision=2, suppress=True)
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```
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@@ -22,7 +22,7 @@ np.set_printoptions(precision=2, suppress=True)
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In [3]:
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```
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```py
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data = np.genfromtxt("JANAF_CH4.txt",
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delimiter="\t", # TAB 分隔
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skiprows=1, # 忽略首行
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@@ -36,14 +36,14 @@ data = np.genfromtxt("JANAF_CH4.txt",
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In [4]:
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```
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```py
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for row in data[:7]:
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print "{}\t{}".format(row['TK'], row['Cp'])
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print "...\t..."
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```
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```
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```py
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0.0 0.0
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100.0 33.258
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200.0 33.473
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@@ -59,7 +59,7 @@ print "...\t..."
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In [5]:
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```
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```py
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p = plt.plot(data['TK'], data['Cp'], 'kx')
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t = plt.title("JANAF data for Methane $CH_4$")
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a = plt.axis([0, 6000, 30, 120])
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@@ -250,20 +250,20 @@ ZmaWKwcWMzPLlQOLmZnl6n8BKYzjzfpoiFsAAAAASUVORK5CYII=
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先导入一维插值函数 `interp1d`：
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```
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```py
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interp1d(x, y)
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```
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In [6]:
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```
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```py
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from scipy.interpolate import interp1d
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```
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In [7]:
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```
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```py
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ch4_cp = interp1d(data['TK'], data['Cp'])
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```
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@@ -274,14 +274,14 @@ ch4_cp = interp1d(data['TK'], data['Cp'])
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In [8]:
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```
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```py
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ch4_cp(382.2)
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```
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Out[8]:
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```
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```py
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array(39.565144000000004)
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```
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@@ -289,14 +289,14 @@ array(39.565144000000004)
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In [9]:
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```
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```py
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ch4_cp([32.2,323.2])
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```
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Out[9]:
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```
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```py
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array([ 10.71, 36.71])
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```
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@@ -304,12 +304,12 @@ array([ 10.71, 36.71])
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In [10]:
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```
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```py
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ch4_cp(8752)
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```
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```
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```py
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---------------------------------------------------------------------------
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ValueError Traceback (most recent call last)
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<ipython-input-10-5d727af9aa33> in <module>()
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@@ -342,7 +342,7 @@ ValueError: A value in x_new is above the interpolation range.
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In [11]:
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```
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```py
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ch4_cp = interp1d(data['TK'], data['Cp'],
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bounds_error=False)
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@@ -352,14 +352,14 @@ ch4_cp = interp1d(data['TK'], data['Cp'],
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In [12]:
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```
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```py
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ch4_cp(8752)
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```
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Out[12]:
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```
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```py
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array(nan)
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```
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@@ -367,7 +367,7 @@ array(nan)
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In [13]:
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```
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```py
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ch4_cp = interp1d(data['TK'], data['Cp'],
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bounds_error=False, fill_value=-999.25)
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@@ -375,14 +375,14 @@ ch4_cp = interp1d(data['TK'], data['Cp'],
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In [14]:
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```
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```py
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ch4_cp(8752)
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```
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Out[14]:
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```
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```py
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array(-999.25)
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```
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@@ -399,7 +399,7 @@ array(-999.25)
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In [15]:
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```
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```py
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T = np.arange(100,355,5)
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plt.plot(T, ch4_cp(T), "+k")
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p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)
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@@ -514,7 +514,7 @@ SSViqEtSiRjqklQihroklcj/A8xgms4BB0nlAAAAAElFTkSuQmCC
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In [16]:
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```
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```py
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cp_ch4 = interp1d(data['TK'], data['Cp'], kind="nearest")
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p = plt.plot(T, cp_ch4(T), "k+")
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p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)
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@@ -612,7 +612,7 @@ iKEuSQUx1CWpIIa6JBXk/wGLsxItFlRd2gAAAABJRU5ErkJggg==
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In [17]:
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```
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```py
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cp_ch4 = interp1d(data['TK'], data['Cp'], kind="zero")
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p = plt.plot(T, cp_ch4(T), "k+")
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p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)
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@@ -707,7 +707,7 @@ xFCXpIIY6pJUEENdkgpiqEtSQf4fzDOJu6Be93AAAAAASUVORK5CYII=
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In [18]:
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```
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```py
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cp_ch4 = interp1d(data['TK'], data['Cp'], kind="quadratic")
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p = plt.plot(T, cp_ch4(T), "k+")
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p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)
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@@ -810,7 +810,7 @@ qEtShRjqklQh/w+L/6C1jqXsbQAAAABJRU5ErkJggg==
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In [19]:
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```
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```py
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cp_ch4 = interp1d(data['TK'], data['Cp'], kind="cubic")
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p = plt.plot(T, cp_ch4(T), "k+")
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p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)
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@@ -916,7 +916,7 @@ AElFTkSuQmCC
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In [20]:
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```
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```py
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cp_ch4 = interp1d(data['TK'], data['Cp'], kind=4)
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p = plt.plot(T, cp_ch4(T), "k+")
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p = plt.plot(data['TK'][1:7], data['Cp'][1:7], 'ro', markersize=8)
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@@ -1025,7 +1025,7 @@ AABJRU5ErkJggg==
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In [21]:
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```
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```py
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from scipy.interpolate import interp2d, interpnd
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```
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@@ -1042,7 +1042,7 @@ from scipy.interpolate import interp2d, interpnd
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$$\Phi(x,c) = \Phi(\|x-c\|)$$In [22]:
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```
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```py
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x = np.linspace(-3,3,100)
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```
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@@ -1053,7 +1053,7 @@ x = np.linspace(-3,3,100)
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In [23]:
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```
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```py
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plt.plot(x, np.exp(-1 * x **2))
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t = plt.title("Gaussian")
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@@ -1230,7 +1230,7 @@ wKmQi4gUOBVyEZEC9/8BloffFHVXiTcAAAAASUVORK5CYII=
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In [24]:
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```
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```py
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plt.plot(x, np.sqrt(1 + x **2))
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t = plt.title("Multiquadric")
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@@ -1408,7 +1408,7 @@ JJwSuYhIwv0/gG56R7Cwt98AAAAASUVORK5CYII=
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In [25]:
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```
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```py
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plt.plot(x, 1. / np.sqrt(1 + x **2))
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t = plt.title("Inverse Multiquadric")
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@@ -1619,7 +1619,7 @@ $$ f(x) = \sum_j n_j \Phi(\|x-x_j\|) $$
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In [26]:
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```
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```py
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from scipy.interpolate.rbf import Rbf
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```
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@@ -1628,7 +1628,7 @@ from scipy.interpolate.rbf import Rbf
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In [27]:
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```
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```py
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cp_rbf = Rbf(data['TK'], data['Cp'], function = "multiquadric")
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plt.plot(data['TK'], data['Cp'], 'k+')
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p = plt.plot(data['TK'], cp_rbf(data['TK']), 'r-')
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@@ -1793,7 +1793,7 @@ SJJR8IuIJBkFv4hIklHwi4gkGQW/iEiSUfCLiCSZ/wfUE99TkRdDtgAAAABJRU5ErkJggg==
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In [28]:
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```
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```py
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cp_rbf = Rbf(data['TK'], data['Cp'], function = "gaussian")
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plt.plot(data['TK'], data['Cp'], 'k+')
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p = plt.plot(data['TK'], cp_rbf(data['TK']), 'r-')
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@@ -1986,7 +1986,7 @@ wgAAAABJRU5ErkJggg==
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In [29]:
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```
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```py
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cp_rbf = Rbf(data['TK'], data['Cp'], function = "inverse_multiquadric")
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plt.plot(data['TK'], data['Cp'], 'k+')
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p = plt.plot(data['TK'], cp_rbf(data['TK']), 'r-')
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@@ -2153,7 +2153,7 @@ iCQZBb+ISJJR8IuIJJn/D8ptq7/3lHsDAAAAAElFTkSuQmCC
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In [30]:
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```
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```py
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from mpl_toolkits.mplot3d import Axes3D
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```
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@@ -2162,7 +2162,7 @@ from mpl_toolkits.mplot3d import Axes3D
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In [31]:
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```
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```py
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x, y = np.mgrid[-np.pi/2:np.pi/2:5j, -np.pi/2:np.pi/2:5j]
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z = np.cos(np.sqrt(x**2 + y**2))
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@@ -2170,7 +2170,7 @@ z = np.cos(np.sqrt(x**2 + y**2))
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In [32]:
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```
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```py
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fig = plt.figure(figsize=(12,6))
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ax = fig.gca(projection="3d")
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ax.scatter(x,y,z)
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@@ -2179,7 +2179,7 @@ ax.scatter(x,y,z)
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Out[32]:
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```
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```py
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<mpl_toolkits.mplot3d.art3d.Path3DCollection at 0x176b4da0>
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```
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@@ -2921,14 +2921,14 @@ IbFKEARBEARBqJb/D6nRM2cdX17QAAAAAElFTkSuQmCC
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In [33]:
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```
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```py
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zz = Rbf(x, y, z)
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```
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In [34]:
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```
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```py
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xx, yy = np.mgrid[-np.pi/2:np.pi/2:50j, -np.pi/2:np.pi/2:50j]
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fig = plt.figure(figsize=(12,6))
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ax = fig.gca(projection="3d")
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@@ -2938,7 +2938,7 @@ ax.plot_surface(xx,yy,zz(xx,yy),rstride=1, cstride=1, cmap=plt.cm.jet)
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Out[34]:
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```
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```py
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<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x176e5c50>
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```
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