{"id":973374,"date":"2024-12-27T05:56:27","date_gmt":"2024-12-26T21:56:27","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/973374.html"},"modified":"2024-12-27T05:56:29","modified_gmt":"2024-12-26T21:56:29","slug":"python%e4%b8%ad%e5%a6%82%e4%bd%95%e8%a1%a8%e7%a4%balog","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/973374.html","title":{"rendered":"python\u4e2d\u5982\u4f55\u8868\u793alog"},"content":{"rendered":"

\"python\u4e2d\u5982\u4f55\u8868\u793alog\"<\/p>\n

\u5728Python\u4e2d\uff0c\u8868\u793a\u5bf9\u6570\uff08logarithm\uff09\u53ef\u4ee5\u901a\u8fc7\u4f7f\u7528\u6807\u51c6\u5e93\u4e2d\u7684math\u6a21\u5757\u548cnumpy\u6a21\u5757\u6765\u5b9e\u73b0\u3002math.log()<\/code>\u3001math.log10()<\/code>\u3001numpy.log()<\/code><\/strong>\u662f\u5e38\u7528\u7684\u65b9\u6cd5\u3002\u4ee5\u4e0b\u662f\u5173\u4e8e\u8fd9\u4e9b\u65b9\u6cd5\u7684\u8be6\u7ec6\u4ecb\u7ecd\u4ee5\u53ca\u5982\u4f55\u4f7f\u7528\u5b83\u4eec\u7684\u6307\u5357\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u4f7f\u7528math\u6a21\u5757\u8ba1\u7b97\u5bf9\u6570<\/h3>\n<\/p>\n

1. math.log()<\/code><\/h4>\n<\/p>\n

math.log()<\/code>\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u81ea\u7136\u5bf9\u6570\uff08\u4ee5e\u4e3a\u5e95\uff09\u3002\u81ea\u7136\u5bf9\u6570\u5728\u6570\u5b66\u548c\u79d1\u5b66\u8ba1\u7b97\u4e2d\u975e\u5e38\u5e38\u7528\uff0c\u5c24\u5176\u5728\u5fae\u79ef\u5206\u548c\u6307\u6570\u589e\u957f\u6a21\u578b\u4e2d<\/strong>\u3002\u5b83\u7684\u4f7f\u7528\u975e\u5e38\u7b80\u5355\uff0c\u53ea\u9700\u4f20\u5165\u4e00\u4e2a\u6b63\u6570\u5373\u53ef\u5f97\u5230\u5176\u81ea\u7136\u5bf9\u6570\u3002<\/p>\n<\/p>\n

import math<\/p>\n
\u8ba1\u7b97\u81ea\u7136\u5bf9\u6570<\/strong><\/h2>\n
number = 10<\/p>\n
result = math.log(number)<\/p>\n
print(f"The natural logarithm of {number} is {result}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. math.log10()<\/code><\/h4>\n<\/p>\n
math.log10()<\/code>\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570\uff0c\u8fd9\u5728\u79d1\u5b66\u8ba1\u6570\u6cd5\u548c\u5de5\u7a0b\u8ba1\u7b97\u4e2d\u975e\u5e38\u6709\u7528\u3002\u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570\u7ecf\u5e38\u7528\u4e8e\u5ea6\u91cf\u5206\u8d1d\u3001\u5730\u9707\u5f3a\u5ea6\uff08\u91cc\u6c0f\u9707\u7ea7\uff09\u7b49<\/strong>\u3002<\/p>\n<\/p>\n
import math<\/p>\n
\u8ba1\u7b97\u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570<\/strong><\/h2>\n
number = 1000<\/p>\n
result = math.log10(number)<\/p>\n
print(f"The logarithm base 10 of {number} is {result}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
3. math.log(x, base)<\/code><\/h4>\n<\/p>\n
math.log(x, base)<\/code>\u51fd\u6570\u5141\u8bb8\u8ba1\u7b97\u4efb\u610f\u5e95\u6570\u7684\u5bf9\u6570\u3002\u8fd9\u5728\u9700\u8981\u4e0d\u540c\u5bf9\u6570\u57fa\u6570\u7684\u8ba1\u7b97\u573a\u666f\u4e2d\u63d0\u4f9b\u4e86\u7075\u6d3b\u6027<\/strong>\u3002<\/p>\n<\/p>\n
import math<\/p>\n
\u8ba1\u7b97\u4ee52\u4e3a\u5e95\u7684\u5bf9\u6570<\/strong><\/h2>\n
number = 8<\/p>\n
base = 2<\/p>\n
result = math.log(number, base)<\/p>\n
print(f"The logarithm base {base} of {number} is {result}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e8c\u3001\u4f7f\u7528numpy\u6a21\u5757\u8ba1\u7b97\u5bf9\u6570<\/h3>\n<\/p>\n
1. numpy.log()<\/code><\/h4>\n<\/p>\n
numpy.log()<\/code>\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u6570\u7ec4\u4e2d\u6bcf\u4e2a\u5143\u7d20\u7684\u81ea\u7136\u5bf9\u6570\u3002\u5b83\u975e\u5e38\u9002\u5408\u5904\u7406\u5927\u578b\u6570\u636e\u96c6\u548c\u77e9\u9635\u8fd0\u7b97<\/strong>\u3002\u5f53\u9700\u8981\u5bf9\u4e00\u7ef4\u6216\u591a\u7ef4\u6570\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u8fdb\u884c\u5bf9\u6570\u8ba1\u7b97\u65f6\uff0cnumpy<\/code>\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u652f\u6301\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
\u521b\u5efa\u4e00\u4e2a\u6570\u7ec4\u5e76\u8ba1\u7b97\u81ea\u7136\u5bf9\u6570<\/strong><\/h2>\n
array = np.array([1, np.e, 10])<\/p>\n
log_array = np.log(array)<\/p>\n
print(f"The natural logarithm of the array elements is {log_array}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. numpy.log10()<\/code><\/h4>\n<\/p>\n
numpy.log10()<\/code>\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u6570\u7ec4\u4e2d\u6bcf\u4e2a\u5143\u7d20\u7684\u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570\u3002\u5728\u6570\u636e\u5206\u6790\u548c\u53ef\u89c6\u5316\u4e2d\uff0c\u7ecf\u5e38\u9700\u8981\u5bf9\u6570\u53d8\u6362\u6765\u5904\u7406\u6307\u6570\u589e\u957f\u7684\u6570\u636e<\/strong>\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
\u521b\u5efa\u4e00\u4e2a\u6570\u7ec4\u5e76\u8ba1\u7b97\u4ee510\u4e3a\u5e95\u7684\u5bf9\u6570<\/strong><\/h2>\n
array = np.array([1, 10, 100, 1000])<\/p>\n
log10_array = np.log10(array)<\/p>\n
print(f"The logarithm base 10 of the array elements is {log10_array}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
3. numpy.log2()<\/code><\/h4>\n<\/p>\n
numpy.log2()<\/code>\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u4ee52\u4e3a\u5e95\u7684\u5bf9\u6570\uff0c\u8fd9\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u975e\u5e38\u5e38\u7528\uff0c\u56e0\u4e3a\u4e8c\u8fdb\u5236\u7cfb\u7edf\u4ee52\u4e3a\u57fa\u7840\u3002\u5728\u6570\u636e\u538b\u7f29\u3001\u52a0\u5bc6\u4ee5\u53ca\u5176\u4ed6\u6d89\u53ca\u6bd4\u7279\u64cd\u4f5c\u7684\u9886\u57df\u4e2d\uff0c\u4ee52\u4e3a\u5e95\u7684\u5bf9\u6570\u975e\u5e38\u5173\u952e<\/strong>\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
\u521b\u5efa\u4e00\u4e2a\u6570\u7ec4\u5e76\u8ba1\u7b97\u4ee52\u4e3a\u5e95\u7684\u5bf9\u6570<\/strong><\/h2>\n
array = np.array([1, 2, 4, 8, 16])<\/p>\n
log2_array = np.log2(array)<\/p>\n
print(f"The logarithm base 2 of the array elements is {log2_array}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e09\u3001\u5bf9\u6570\u7684\u5e94\u7528\u573a\u666f<\/h3>\n<\/p>\n
1. \u79d1\u5b66\u8ba1\u7b97<\/h4>\n<\/p>\n
\u5728\u79d1\u5b66\u8ba1\u7b97\u4e2d\uff0c\u5bf9\u6570\u7528\u4e8e\u7b80\u5316\u6307\u6570\u5173\u7cfb\u3002\u4f8b\u5982\uff0c\u653e\u5c04\u6027\u8870\u53d8\u3001\u5316\u5b66\u53cd\u5e94\u901f\u7387\u548c\u4eba\u53e3\u589e\u957f\u6a21\u578b\u5e38\u5e38\u4f7f\u7528\u81ea\u7136\u5bf9\u6570\u6765\u8868\u793a<\/strong>\u3002<\/p>\n<\/p>\n
import math<\/p>\n
\u653e\u5c04\u6027\u8870\u53d8\u516c\u5f0f<\/strong><\/h2>\n
initial_quantity = 1000<\/p>\n
decay_constant = 0.693<\/p>\n
time = 2<\/p>\n
quantity_remAI<\/a>ning = initial_quantity * math.exp(-decay_constant * time)<\/p>\n
print(f"Quantity remaining after {time} time units is {quantity_remaining}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. \u6570\u636e\u5206\u6790\u4e0e\u53ef\u89c6\u5316<\/h4>\n<\/p>\n
\u5bf9\u6570\u53d8\u6362\u6709\u52a9\u4e8e\u5c06\u6570\u636e\u4ece\u975e\u7ebf\u6027\u7f29\u653e\u5230\u7ebf\u6027\uff0c\u8fd9\u5728\u6570\u636e\u5206\u6790\u548c\u673a\u5668\u5b66\u4e60<\/a>\u4e2d\u975e\u5e38\u5e38\u7528\u3002\u4f8b\u5982\uff0c\u91d1\u878d\u6570\u636e\u7684\u5bf9\u6570\u6536\u76ca\u548c\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u90fd\u662f\u5e38\u89c1\u7684\u5e94\u7528<\/strong>\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
import matplotlib.pyplot as plt<\/p>\n
\u751f\u6210\u6307\u6570\u589e\u957f\u6570\u636e<\/strong><\/h2>\n
x = np.arange(1, 100)<\/p>\n
y = np.exp(x)<\/p>\n
\u5bf9\u6570\u53d8\u6362<\/strong><\/h2>\n
log_y = np.log(y)<\/p>\n
\u53ef\u89c6\u5316<\/strong><\/h2>\n
plt.figure(figsize=(12, 6))<\/p>\n
plt.subplot(1, 2, 1)<\/p>\n
plt.plot(x, y)<\/p>\n
plt.title("Exponential Growth")<\/p>\n
plt.subplot(1, 2, 2)<\/p>\n
plt.plot(x, log_y)<\/p>\n
plt.title("Logarithmic Transformation")<\/p>\n
plt.show()<\/p>\n
<\/code><\/pre>\n<\/p>\n
3. \u8ba1\u7b97\u590d\u6742\u5ea6\u5206\u6790<\/h4>\n<\/p>\n
\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\uff0c\u5bf9\u6570\u7528\u4e8e\u5206\u6790\u7b97\u6cd5\u7684\u590d\u6742\u5ea6\uff0c\u5c24\u5176\u662f\u4e8c\u5206\u641c\u7d22\u3001\u5feb\u901f\u6392\u5e8f\u7b49\u3002\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u7ecf\u5e38\u4ee5\u5bf9\u6570\u5f62\u5f0f\u8868\u793a\uff0c\u56e0\u4e3a\u8fd9\u53cd\u6620\u4e86\u7b97\u6cd5\u5728\u9762\u5bf9\u6307\u6570\u589e\u957f\u6570\u636e\u65f6\u7684\u6548\u7387<\/strong>\u3002<\/p>\n<\/p>\n
def binary_search(arr, target):<\/p>\n
    low, high = 0, len(arr) - 1<\/p>\n
    while low <= high:<\/p>\n
        mid = (low + high) \/\/ 2<\/p>\n
        if arr[mid] < target:<\/p>\n
            low = mid + 1<\/p>\n
        elif arr[mid] > target:<\/p>\n
            high = mid - 1<\/p>\n
        else:<\/p>\n
            return mid<\/p>\n
    return -1<\/p>\n
\u590d\u6742\u5ea6\u5206\u6790<\/strong><\/h2>\n
arr = list(range(1, 1001))<\/p>\n
target = 500<\/p>\n
index = binary_search(arr, target)<\/p>\n
print(f"Index of target {target} is {index}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u56db\u3001\u6ce8\u610f\u4e8b\u9879\u4e0e\u6700\u4f73\u5b9e\u8df5<\/h3>\n<\/p>\n
1. \u8f93\u5165\u503c\u9650\u5236<\/h4>\n<\/p>\n
\u5728\u8ba1\u7b97\u5bf9\u6570\u65f6\uff0c\u8f93\u5165\u503c\u5fc5\u987b\u4e3a\u6b63\u6570\u3002\u82e5\u8f93\u5165\u8d1f\u6570\u6216\u96f6\uff0c\u5c06\u5bfc\u81f4\u6570\u5b66\u9519\u8bef\u3002\u786e\u4fdd\u5728\u8ba1\u7b97\u524d\u9a8c\u8bc1\u8f93\u5165\u6570\u636e\u7684\u6709\u6548\u6027\uff0c\u4ee5\u907f\u514d\u7a0b\u5e8f\u5d29\u6e83<\/strong>\u3002<\/p>\n<\/p>\n
import math<\/p>\n
def SAFe<\/a>_log(x):<\/p>\n
    if x > 0:<\/p>\n
        return math.log(x)<\/p>\n
    else:<\/p>\n
        raise ValueError("Input must be a positive number.")<\/p>\n
try:<\/p>\n
    print(safe_log(-1))<\/p>\n
except ValueError as e:<\/p>\n
    print(e)<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. \u6570\u503c\u7a33\u5b9a\u6027<\/h4>\n<\/p>\n
\u5728\u5904\u7406\u975e\u5e38\u5c0f\u7684\u6d6e\u70b9\u6570\u65f6\uff0c\u53ef\u80fd\u4f1a\u9047\u5230\u6570\u503c\u4e0d\u7a33\u5b9a\u95ee\u9898\u3002\u53ef\u4ee5\u901a\u8fc7\u8c03\u6574\u5bf9\u6570\u8ba1\u7b97\u7684\u5e95\u6570\u6216\u4f7f\u7528\u4e13\u95e8\u7684\u6570\u503c\u8ba1\u7b97\u5e93\u6765\u63d0\u9ad8\u7cbe\u5ea6<\/strong>\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
\u4f7f\u7528numpy\u5904\u7406\u5c0f\u6570\u503c\u5bf9\u6570<\/strong><\/h2>\n
small_values = np.array([1e-50, 1e-100, 1e-150])<\/p>\n
log_small_values = np.log(small_values)<\/p>\n
print(f"Logarithms of small values: {log_small_values}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
3. \u5bf9\u6570\u53d8\u6362\u7684\u53cd\u53d8\u6362<\/h4>\n<\/p>\n
\u5728\u6570\u636e\u5206\u6790\u4e2d\uff0c\u5e94\u7528\u5bf9\u6570\u53d8\u6362\u540e\uff0c\u53ef\u80fd\u9700\u8981\u5c06\u6570\u636e\u6062\u590d\u5230\u539f\u59cb\u5c3a\u5ea6\u3002\u8fd9\u53ef\u4ee5\u901a\u8fc7\u6307\u6570\u51fd\u6570\u6765\u5b9e\u73b0<\/strong>\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
\u5bf9\u6570\u53d8\u6362\u548c\u53cd\u53d8\u6362<\/strong><\/h2>\n
values = np.array([1, 10, 100])<\/p>\n
log_values = np.log(values)<\/p>\n
exp_values = np.exp(log_values)<\/p>\n
print(f"Original values: {values}, after log and exp: {exp_values}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u901a\u8fc7\u8fd9\u4e9b\u65b9\u6cd5\u548c\u6700\u4f73\u5b9e\u8df5\uff0cPython\u7528\u6237\u53ef\u4ee5\u6709\u6548\u5730\u4f7f\u7528\u5bf9\u6570\u51fd\u6570\u6765\u5904\u7406\u5404\u79cd\u79d1\u5b66\u8ba1\u7b97\u3001\u6570\u636e\u5206\u6790\u548c\u7b97\u6cd5\u590d\u6742\u5ea6\u5206\u6790\u95ee\u9898\u3002\u5bf9\u6570\u7684\u7075\u6d3b\u6027\u548c\u5f3a\u5927\u529f\u80fd\u4f7f\u5176\u6210\u4e3a\u7f16\u7a0b\u548c\u6570\u636e\u79d1\u5b66\u4e2d\u4e0d\u53ef\u6216\u7f3a\u7684\u5de5\u5177\u3002<\/p>\n<\/p>\n
\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
 \u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u5bf9\u6570\uff1f<\/strong>
\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528math<\/code>\u6a21\u5757\u6216\u8005numpy<\/code>\u5e93\u6765\u8ba1\u7b97\u5bf9\u6570\u3002\u901a\u8fc7math.log(x, base)<\/code>\u53ef\u4ee5\u8ba1\u7b97\u4ee5\u6307\u5b9a\u5e95\u6570\u7684\u5bf9\u6570\uff0c\u5982\u679c\u4e0d\u6307\u5b9a\u5e95\u6570\uff0c\u9ed8\u8ba4\u4f7f\u7528\u81ea\u7136\u5bf9\u6570\uff08\u4ee5e\u4e3a\u5e95\uff09\u3002\u4f7f\u7528numpy.log()<\/code>\u53ef\u4ee5\u8ba1\u7b97\u81ea\u7136\u5bf9\u6570\uff0cnumpy.log10()<\/code>\u548cnumpy.log2()<\/code>\u5206\u522b\u7528\u4e8e\u8ba1\u7b97\u4ee510\u548c2\u4e3a\u5e95\u7684\u5bf9\u6570\u3002\u8fd9\u4e9b\u51fd\u6570\u63d0\u4f9b\u4e86\u7075\u6d3b\u7684\u8ba1\u7b97\u65b9\u5f0f\uff0c\u9002\u7528\u4e8e\u4e0d\u540c\u9700\u6c42\u3002<\/p>\n
Python\u4e2d\u7684\u5bf9\u6570\u8fd0\u7b97\u6709\u54ea\u4e9b\u5e94\u7528\uff1f<\/strong>
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