如何使用Python使用对数刻度创建均匀间隔的数字列表？

在本文中，我们将使用对数刻度创建一个均匀间隔数字的列表。这意味着在对数尺度上，两个相邻样本之间的差异是相同的。可以使用Python Numpy 库中的两个不同函数来实现该目标。

使用的功能：

numpy.logspace：此函数返回在对数刻度上均匀缩放的数字。

Parameters:

start: Starting value of sequence is base**start
stop: If endpoint is True then ending value of sequence is base**stop
num (Optional): Specifies the number of samples to generate
endpoint (Optional): It can either be true or false with default value true
base (Optional): Specifies the base of log sequence. Default value is 10.
dtype (Optional): Specifies the type of output array
axis (Optional): The axis in the result to store the samples.

Return: It returns array of samples equally spaced on log scale.

编程需要懂一点英语

numpy.geomspace：这个函数类似于logspace函数，只是直接指定了端点。在输出样本中，每个输出都是通过将先前的输出乘以相同的常数来获得的。

Parameters:

start: It is the starting value of sequence

stop: If endpoint is True then it is the ending value of sequence

num (Optional): Specifies the number of samples to generate

endpoint (Optional): It can either be true or false with default value true

dtype (Optional): Specifies the type of output array

axis (Optional): The axis in the result to store the samples.

Return: It returns array of samples equally spaced on log scale.

编程需要懂一点英语

示例 1：此示例使用 logspace函数。在这个例子中，start 传递为 1，stop 传递为 3，基数为 10。所以序列的起点将是 10**1 = 10，序列的终点将是 10**3 = 1000。

Python3

# importing the library
import numpy as np
import matplotlib.pyplot as plt
  
# Initializing variable
y = np.ones(10)
  
# Calculating result
res = np.logspace(1, 3, 10, endpoint = True)
  
# Printing the result
print(res)
  
# Plotting the graph
plt.scatter(res, y, color = 'green')
plt.title('logarithmically spaced numbers')
plt.show()

Python3

# importing the library
import numpy as np
import matplotlib.pyplot as plt
  
# Initializing variable
y = np.ones(10)
  
# Calculating result
res = np.geomspace(10, 1000, 10, endpoint = True)
  
# Printing the result
print(res)
  
# Plotting the graph
plt.scatter(res, y, color = 'green')
plt.title('logarithmically spaced numbers')
plt.show()

Python3

# importing the library
import numpy as np
import matplotlib.pyplot as plt
  
# Initializing variable
y = np.ones(10)
  
# Calculating result
res = np.logspace(1, 3, 10, endpoint = False)
  
# Printing the result
print(res)

输出：

示例 2：此示例使用 geomspace函数生成与前一个示例相同的列表。这里我们直接通过10和1000作为起点和终点

蟒蛇3

# importing the library
import numpy as np
import matplotlib.pyplot as plt
  
# Initializing variable
y = np.ones(10)
  
# Calculating result
res = np.geomspace(10, 1000, 10, endpoint = True)
  
# Printing the result
print(res)
  
# Plotting the graph
plt.scatter(res, y, color = 'green')
plt.title('logarithmically spaced numbers')
plt.show()

输出：

示例 3：在此示例中，端点设置为 false，因此它将生成 n+1 个样本并仅返回前 n 个样本，即停止将不包含在序列中。

蟒蛇3

# importing the library
import numpy as np
import matplotlib.pyplot as plt
  
# Initializing variable
y = np.ones(10)
  
# Calculating result
res = np.logspace(1, 3, 10, endpoint = False)
  
# Printing the result
print(res)

输出：

[ 10.          15.84893192  25.11886432  39.81071706  63.09573445
 100.         158.48931925 251.18864315 398.10717055 630.95734448]