{"id":1144895,"date":"2025-01-08T23:03:41","date_gmt":"2025-01-08T15:03:41","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1144895.html"},"modified":"2025-01-08T23:03:45","modified_gmt":"2025-01-08T15:03:45","slug":"%e5%9c%a8python%e4%b8%ad%e5%a6%82%e4%bd%95%e8%bf%9b%e8%a1%8c%e4%b8%89%e8%a7%92%e5%87%bd%e6%95%b0%e7%9a%84%e8%bf%90%e7%ae%97","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1144895.html","title":{"rendered":"\u5728python\u4e2d\u5982\u4f55\u8fdb\u884c\u4e09\u89d2\u51fd\u6570\u7684\u8fd0\u7b97"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/24181737\/c4c083c1-8993-4144-b794-2b2da8274b0e.webp\" alt=\"\u5728python\u4e2d\u5982\u4f55\u8fdb\u884c\u4e09\u89d2\u51fd\u6570\u7684\u8fd0\u7b97\" \/><\/p>\n<p><p> <strong>\u5728Python\u4e2d\u8fdb\u884c\u4e09\u89d2\u51fd\u6570\u7684\u8fd0\u7b97\uff0c\u4e3b\u8981\u4f7f\u7528math\u5e93\u3001numpy\u5e93\u3001\u4ee5\u53casympy\u5e93\u3002\u8fd9\u4e9b\u5e93\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u529f\u80fd\uff0c\u6db5\u76d6\u4e86\u57fa\u672c\u7684\u6b63\u5f26\u3001\u4f59\u5f26\u3001\u6b63\u5207\u7b49\u51fd\u6570\u4ee5\u53ca\u53cd\u4e09\u89d2\u51fd\u6570\u548c\u53cc\u66f2\u4e09\u89d2\u51fd\u6570\u7b49\u3002<\/strong> \u5176\u4e2d\uff0cmath\u5e93\u9002\u7528\u4e8e\u57fa\u672c\u7684\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\uff0cnumpy\u5e93\u9002\u7528\u4e8e\u5904\u7406\u6570\u7ec4\u548c\u77e9\u9635\u7684\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\uff0c\u800csympy\u5e93\u5219\u9002\u7528\u4e8e\u7b26\u53f7\u8fd0\u7b97\u548c\u89e3\u6790\u89e3\u3002\u5177\u4f53\u4f7f\u7528\u54ea\u4e2a\u5e93\u53d6\u51b3\u4e8e\u4f60\u7684\u9700\u6c42\uff0c\u4f8b\u5982math\u5e93\u9002\u5408\u7b80\u5355\u7684\u6570\u503c\u8ba1\u7b97\uff0c\u800cnumpy\u5e93\u5219\u9002\u5408\u5927\u89c4\u6a21\u7684\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><h3>\u4e00\u3001\u4f7f\u7528math\u5e93\u8fdb\u884c\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97<\/h3>\n<\/p>\n<p><p>math\u5e93\u662fPython\u6807\u51c6\u5e93\u7684\u4e00\u90e8\u5206\uff0c\u4e0d\u9700\u8981\u989d\u5916\u5b89\u88c5\uff0c\u63d0\u4f9b\u4e86\u57fa\u672c\u7684\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u529f\u80fd\u3002<\/p>\n<\/p>\n<p><h4>1\u3001\u57fa\u672c\u4e09\u89d2\u51fd\u6570<\/h4>\n<\/p>\n<p><p>math\u5e93\u63d0\u4f9b\u4e86sin\u3001cos\u3001tan\u7b49\u57fa\u672c\u4e09\u89d2\u51fd\u6570\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import math<\/p>\n<h2><strong>\u6b63\u5f26<\/strong><\/h2>\n<p>sin_value = math.sin(math.radians(30))<\/p>\n<p>print(f&quot;sin(30\u00b0) = {sin_value}&quot;)<\/p>\n<h2><strong>\u4f59\u5f26<\/strong><\/h2>\n<p>cos_value = math.cos(math.radians(60))<\/p>\n<p>print(f&quot;cos(60\u00b0) = {cos_value}&quot;)<\/p>\n<h2><strong>\u6b63\u5207<\/strong><\/h2>\n<p>tan_value = math.tan(math.radians(45))<\/p>\n<p>print(f&quot;tan(45\u00b0) = {tan_value}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u6ce8\u610f\uff1amath\u5e93\u4e2d\u7684\u4e09\u89d2\u51fd\u6570\u4ee5\u5f27\u5ea6\u4e3a\u5355\u4f4d\u8f93\u5165\uff0c\u82e5\u9700\u4f7f\u7528\u89d2\u5ea6\uff0c\u5e94\u5148\u5c06\u89d2\u5ea6\u8f6c\u6362\u4e3a\u5f27\u5ea6\u3002<\/p>\n<\/p>\n<p><h4>2\u3001\u53cd\u4e09\u89d2\u51fd\u6570<\/h4>\n<\/p>\n<p><p>math\u5e93\u63d0\u4f9b\u4e86asin\u3001acos\u3001atan\u7b49\u53cd\u4e09\u89d2\u51fd\u6570\uff0c\u7528\u4e8e\u8ba1\u7b97\u7ed9\u5b9a\u503c\u7684\u89d2\u5ea6\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import math<\/p>\n<h2><strong>\u53cd\u6b63\u5f26<\/strong><\/h2>\n<p>asin_value = math.degrees(math.asin(0.5))<\/p>\n<p>print(f&quot;asin(0.5) = {asin_value}\u00b0&quot;)<\/p>\n<h2><strong>\u53cd\u4f59\u5f26<\/strong><\/h2>\n<p>acos_value = math.degrees(math.acos(0.5))<\/p>\n<p>print(f&quot;acos(0.5) = {acos_value}\u00b0&quot;)<\/p>\n<h2><strong>\u53cd\u6b63\u5207<\/strong><\/h2>\n<p>atan_value = math.degrees(math.atan(1))<\/p>\n<p>print(f&quot;atan(1) = {atan_value}\u00b0&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e8c\u3001\u4f7f\u7528numpy\u5e93\u8fdb\u884c\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97<\/h3>\n<\/p>\n<p><p>numpy\u5e93\u9002\u7528\u4e8e\u5904\u7406\u6570\u7ec4\u548c\u77e9\u9635\u7684\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\uff0c\u7279\u522b\u9002\u5408\u79d1\u5b66\u8ba1\u7b97\u548c\u6570\u636e\u5206\u6790\u3002<\/p>\n<\/p>\n<p><h4>1\u3001\u57fa\u672c\u4e09\u89d2\u51fd\u6570<\/h4>\n<\/p>\n<p><p>numpy\u5e93\u63d0\u4f9b\u4e86\u4e0emath\u5e93\u7c7b\u4f3c\u7684\u4e09\u89d2\u51fd\u6570\uff0c\u4f46\u53ef\u4ee5\u5e94\u7528\u4e8e\u6570\u7ec4\u548c\u77e9\u9635\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<h2><strong>\u6b63\u5f26<\/strong><\/h2>\n<p>sin_values = np.sin(np.radians([30, 45, 60]))<\/p>\n<p>print(f&quot;sin([30\u00b0, 45\u00b0, 60\u00b0]) = {sin_values}&quot;)<\/p>\n<h2><strong>\u4f59\u5f26<\/strong><\/h2>\n<p>cos_values = np.cos(np.radians([30, 45, 60]))<\/p>\n<p>print(f&quot;cos([30\u00b0, 45\u00b0, 60\u00b0]) = {cos_values}&quot;)<\/p>\n<h2><strong>\u6b63\u5207<\/strong><\/h2>\n<p>tan_values = np.tan(np.radians([30, 45, 60]))<\/p>\n<p>print(f&quot;tan([30\u00b0, 45\u00b0, 60\u00b0]) = {tan_values}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2\u3001\u53cd\u4e09\u89d2\u51fd\u6570<\/h4>\n<\/p>\n<p><p>numpy\u5e93\u540c\u6837\u63d0\u4f9b\u4e86asin\u3001acos\u3001atan\u7b49\u53cd\u4e09\u89d2\u51fd\u6570\uff0c\u53ef\u4ee5\u5904\u7406\u6570\u7ec4\u548c\u77e9\u9635\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<h2><strong>\u53cd\u6b63\u5f26<\/strong><\/h2>\n<p>asin_values = np.degrees(np.arcsin([0.5, 0.707, 0.866]))<\/p>\n<p>print(f&quot;asin([0.5, 0.707, 0.866]) = {asin_values}\u00b0&quot;)<\/p>\n<h2><strong>\u53cd\u4f59\u5f26<\/strong><\/h2>\n<p>acos_values = np.degrees(np.arccos([0.5, 0.707, 0.866]))<\/p>\n<p>print(f&quot;acos([0.5, 0.707, 0.866]) = {acos_values}\u00b0&quot;)<\/p>\n<h2><strong>\u53cd\u6b63\u5207<\/strong><\/h2>\n<p>atan_values = np.degrees(np.arctan([1, 0.5, 0.866]))<\/p>\n<p>print(f&quot;atan([1, 0.5, 0.866]) = {atan_values}\u00b0&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e09\u3001\u4f7f\u7528sympy\u5e93\u8fdb\u884c\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97<\/h3>\n<\/p>\n<p><p>sympy\u5e93\u9002\u7528\u4e8e\u7b26\u53f7\u8fd0\u7b97\u548c\u89e3\u6790\u89e3\uff0c\u7279\u522b\u9002\u5408\u6570\u5b66\u516c\u5f0f\u548c\u7b26\u53f7\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><h4>1\u3001\u57fa\u672c\u4e09\u89d2\u51fd\u6570<\/h4>\n<\/p>\n<p><p>sympy\u5e93\u63d0\u4f9b\u4e86\u7b26\u53f7\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\uff0c\u53ef\u4ee5\u5bf9\u7b26\u53f7\u8868\u8fbe\u5f0f\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from sympy import symbols, sin, cos, tan, pi<\/p>\n<p>x = symbols(&#39;x&#39;)<\/p>\n<h2><strong>\u6b63\u5f26<\/strong><\/h2>\n<p>sin_expr = sin(x)<\/p>\n<p>print(f&quot;sin(x) = {sin_expr}&quot;)<\/p>\n<h2><strong>\u4f59\u5f26<\/strong><\/h2>\n<p>cos_expr = cos(x)<\/p>\n<p>print(f&quot;cos(x) = {cos_expr}&quot;)<\/p>\n<h2><strong>\u6b63\u5207<\/strong><\/h2>\n<p>tan_expr = tan(x)<\/p>\n<p>print(f&quot;tan(x) = {tan_expr}&quot;)<\/p>\n<h2><strong>\u8ba1\u7b97\u5177\u4f53\u503c<\/strong><\/h2>\n<p>sin_value = sin(pi \/ 6).evalf()<\/p>\n<p>print(f&quot;sin(\u03c0\/6) = {sin_value}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2\u3001\u53cd\u4e09\u89d2\u51fd\u6570<\/h4>\n<\/p>\n<p><p>sympy\u5e93\u540c\u6837\u63d0\u4f9b\u4e86asin\u3001acos\u3001atan\u7b49\u53cd\u4e09\u89d2\u51fd\u6570\uff0c\u53ef\u4ee5\u5bf9\u7b26\u53f7\u8868\u8fbe\u5f0f\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from sympy import asin, acos, atan<\/p>\n<h2><strong>\u53cd\u6b63\u5f26<\/strong><\/h2>\n<p>asin_expr = asin(x)<\/p>\n<p>print(f&quot;asin(x) = {asin_expr}&quot;)<\/p>\n<h2><strong>\u53cd\u4f59\u5f26<\/strong><\/h2>\n<p>acos_expr = acos(x)<\/p>\n<p>print(f&quot;acos(x) = {acos_expr}&quot;)<\/p>\n<h2><strong>\u53cd\u6b63\u5207<\/strong><\/h2>\n<p>atan_expr = atan(x)<\/p>\n<p>print(f&quot;atan(x) = {atan_expr}&quot;)<\/p>\n<h2><strong>\u8ba1\u7b97\u5177\u4f53\u503c<\/strong><\/h2>\n<p>asin_value = asin(0.5).evalf()<\/p>\n<p>print(f&quot;asin(0.5) = {asin_value}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u56db\u3001\u4e09\u89d2\u51fd\u6570\u5e94\u7528\u573a\u666f<\/h3>\n<\/p>\n<p><h4>1\u3001\u4fe1\u53f7\u5904\u7406<\/h4>\n<\/p>\n<p><p>\u5728\u4fe1\u53f7\u5904\u7406\u9886\u57df\uff0c\u4e09\u89d2\u51fd\u6570\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5085\u91cc\u53f6\u53d8\u6362\u3001\u6ee4\u6ce2\u5668\u8bbe\u8ba1\u7b49\u65b9\u9762\u3002\u5085\u91cc\u53f6\u53d8\u6362\u5c06\u4fe1\u53f7\u4ece\u65f6\u57df\u8f6c\u6362\u5230\u9891\u57df\uff0c\u5229\u7528\u6b63\u5f26\u548c\u4f59\u5f26\u51fd\u6570\u5206\u89e3\u4fe1\u53f7\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>import matplotlib.pyplot as plt<\/p>\n<h2><strong>\u751f\u6210\u4fe1\u53f7<\/strong><\/h2>\n<p>t = np.linspace(0, 1, 500)<\/p>\n<p>signal = np.sin(2 * np.pi * 50 * t) + np.sin(2 * np.pi * 120 * t)<\/p>\n<h2><strong>\u5085\u91cc\u53f6\u53d8\u6362<\/strong><\/h2>\n<p>freq = np.fft.fftfreq(t.size, t[1] - t[0])<\/p>\n<p>signal_fft = np.fft.fft(signal)<\/p>\n<h2><strong>\u7ed8\u5236\u4fe1\u53f7\u548c\u9891\u8c31<\/strong><\/h2>\n<p>plt.subplot(2, 1, 1)<\/p>\n<p>plt.plot(t, signal)<\/p>\n<p>plt.title(&quot;Time Dom<a href=\"https:\/\/docs.pingcode.com\/blog\/59162.html\" target=\"_blank\">AI<\/a>n Signal&quot;)<\/p>\n<p>plt.subplot(2, 1, 2)<\/p>\n<p>plt.plot(freq, np.abs(signal_fft))<\/p>\n<p>plt.title(&quot;Frequency Domain Signal&quot;)<\/p>\n<p>plt.show()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2\u3001\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66<\/h4>\n<\/p>\n<p><p>\u5728\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u4e2d\uff0c\u4e09\u89d2\u51fd\u6570\u7528\u4e8e\u65cb\u8f6c\u3001\u7f29\u653e\u548c\u53d8\u6362\u56fe\u5f62\u5bf9\u8c61\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u4f7f\u7528\u65cb\u8f6c\u77e9\u9635\u65cb\u8f6c\u4e8c\u7ef4\u56fe\u5f62\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>import matplotlib.pyplot as plt<\/p>\n<h2><strong>\u5b9a\u4e49\u65cb\u8f6c\u77e9\u9635<\/strong><\/h2>\n<p>theta = np.radians(30)<\/p>\n<p>rotation_matrix = np.array([<\/p>\n<p>    [np.cos(theta), -np.sin(theta)],<\/p>\n<p>    [np.sin(theta), np.cos(theta)]<\/p>\n<p>])<\/p>\n<h2><strong>\u5b9a\u4e49\u56fe\u5f62\u9876\u70b9<\/strong><\/h2>\n<p>points = np.array([<\/p>\n<p>    [1, 0],<\/p>\n<p>    [0, 1],<\/p>\n<p>    [-1, 0],<\/p>\n<p>    [0, -1]<\/p>\n<p>])<\/p>\n<h2><strong>\u65cb\u8f6c\u56fe\u5f62<\/strong><\/h2>\n<p>rotated_points = points @ rotation_matrix.T<\/p>\n<h2><strong>\u7ed8\u5236\u539f\u59cb\u548c\u65cb\u8f6c\u540e\u7684\u56fe\u5f62<\/strong><\/h2>\n<p>plt.plot(*points.T, &#39;bo-&#39;, label=&#39;Original&#39;)<\/p>\n<p>plt.plot(*rotated_points.T, &#39;ro-&#39;, label=&#39;Rotated&#39;)<\/p>\n<p>plt.legend()<\/p>\n<p>plt.axis(&#39;equal&#39;)<\/p>\n<p>plt.show()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>3\u3001\u5bfc\u822a\u548c\u5b9a\u4f4d<\/h4>\n<\/p>\n<p><p>\u5728\u5bfc\u822a\u548c\u5b9a\u4f4d\u7cfb\u7edf\u4e2d\uff0c\u4e09\u89d2\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u65b9\u4f4d\u89d2\u3001\u8ddd\u79bb\u548c\u4f4d\u7f6e\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u4f7f\u7528\u5927\u5730\u6d4b\u91cf\u516c\u5f0f\u8ba1\u7b97\u4e24\u4e2a\u7ecf\u7eac\u5ea6\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import math<\/p>\n<p>def haversine(lon1, lat1, lon2, lat2):<\/p>\n<p>    R = 6371.0  # \u5730\u7403\u534a\u5f84\uff0c\u5355\u4f4d\uff1a\u516c\u91cc<\/p>\n<p>    lon1, lat1, lon2, lat2 = map(math.radians, [lon1, lat1, lon2, lat2])<\/p>\n<p>    dlon = lon2 - lon1<\/p>\n<p>    dlat = lat2 - lat1<\/p>\n<p>    a = math.sin(dlat \/ 2)&lt;strong&gt;2 + math.cos(lat1) * math.cos(lat2) * math.sin(dlon \/ 2)&lt;\/strong&gt;2<\/p>\n<p>    c = 2 * math.atan2(math.sqrt(a), math.sqrt(1 - a))<\/p>\n<p>    distance = R * c<\/p>\n<p>    return distance<\/p>\n<h2><strong>\u8ba1\u7b97\u8ddd\u79bb<\/strong><\/h2>\n<p>distance = haversine(116.407396, 39.904200, -74.005941, 40.712784)<\/p>\n<p>print(f&quot;Distance: {distance} km&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e94\u3001\u4e09\u89d2\u51fd\u6570\u4f18\u5316\u4e0e\u6027\u80fd\u63d0\u5347<\/h3>\n<\/p>\n<p><p>\u5728\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u6216\u9700\u8981\u9ad8\u6027\u80fd\u8ba1\u7b97\u7684\u573a\u666f\u4e0b\uff0c\u4f18\u5316\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u662f\u5fc5\u8981\u7684\u3002<\/p>\n<\/p>\n<p><h4>1\u3001\u4f7f\u7528\u5411\u91cf\u5316\u8fd0\u7b97<\/h4>\n<\/p>\n<p><p>\u5411\u91cf\u5316\u8fd0\u7b97\u662f\u5229\u7528\u6570\u7ec4\u548c\u77e9\u9635\u64cd\u4f5c\u4ee3\u66ff\u5faa\u73af\u7684\u6280\u672f\uff0c\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u8fd0\u7b97\u901f\u5ea6\u3002numpy\u5e93\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u5411\u91cf\u5316\u8fd0\u7b97\u529f\u80fd\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<h2><strong>\u751f\u6210\u5927\u89c4\u6a21\u6570\u636e<\/strong><\/h2>\n<p>angles = np.linspace(0, 2 * np.pi, 1000000)<\/p>\n<h2><strong>\u4f7f\u7528\u5411\u91cf\u5316\u8fd0\u7b97\u8ba1\u7b97\u6b63\u5f26<\/strong><\/h2>\n<p>sin_values = np.sin(angles)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2\u3001\u4f7f\u7528\u5e76\u884c\u8ba1\u7b97<\/h4>\n<\/p>\n<p><p>\u5e76\u884c\u8ba1\u7b97\u53ef\u4ee5\u5c06\u4efb\u52a1\u5206\u89e3\u4e3a\u591a\u4e2a\u5b50\u4efb\u52a1\uff0c\u5e76\u540c\u65f6\u5728\u591a\u4e2a\u5904\u7406\u5668\u4e0a\u6267\u884c\uff0c\u4ece\u800c\u63d0\u9ad8\u8ba1\u7b97\u901f\u5ea6\u3002\u53ef\u4ee5\u4f7f\u7528multiprocessing\u5e93\u5b9e\u73b0\u5e76\u884c\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>import multiprocessing as mp<\/p>\n<p>def calculate_sin(angle):<\/p>\n<p>    return np.sin(angle)<\/p>\n<h2><strong>\u751f\u6210\u5927\u89c4\u6a21\u6570\u636e<\/strong><\/h2>\n<p>angles = np.linspace(0, 2 * np.pi, 1000000)<\/p>\n<h2><strong>\u4f7f\u7528\u5e76\u884c\u8ba1\u7b97<\/strong><\/h2>\n<p>with mp.Pool(processes=4) as pool:<\/p>\n<p>    sin_values = pool.map(calculate_sin, angles)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u516d\u3001\u5e38\u89c1\u95ee\u9898\u4e0e\u89e3\u51b3\u65b9\u6848<\/h3>\n<\/p>\n<p><h4>1\u3001\u7cbe\u5ea6\u95ee\u9898<\/h4>\n<\/p>\n<p><p>\u5728\u6570\u503c\u8ba1\u7b97\u4e2d\uff0c\u7cbe\u5ea6\u95ee\u9898\u662f\u5e38\u89c1\u7684\u3002\u4e3a\u4e86\u63d0\u9ad8\u8ba1\u7b97\u7cbe\u5ea6\uff0c\u53ef\u4ee5\u4f7f\u7528\u9ad8\u7cbe\u5ea6\u6570\u5b66\u5e93\uff0c\u5982mpmath\u5e93\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from mpmath import mp<\/p>\n<h2><strong>\u8bbe\u7f6e\u7cbe\u5ea6<\/strong><\/h2>\n<p>mp.dps = 50<\/p>\n<h2><strong>\u8ba1\u7b97\u9ad8\u7cbe\u5ea6\u6b63\u5f26<\/strong><\/h2>\n<p>sin_value = mp.sin(mp.pi \/ 6)<\/p>\n<p>print(f&quot;sin(\u03c0\/6) = {sin_value}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2\u3001\u6570\u5b66\u5f02\u5e38<\/h4>\n<\/p>\n<p><p>\u5728\u4f7f\u7528\u4e09\u89d2\u51fd\u6570\u65f6\uff0c\u53ef\u80fd\u4f1a\u9047\u5230\u6570\u5b66\u5f02\u5e38\uff0c\u5982\u9664\u96f6\u9519\u8bef\u3002\u53ef\u4ee5\u4f7f\u7528try-except\u7ed3\u6784\u5904\u7406\u5f02\u5e38\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import math<\/p>\n<p>try:<\/p>\n<p>    tan_value = math.tan(math.radians(90))<\/p>\n<p>except ZeroDivisionError as e:<\/p>\n<p>    print(f&quot;Error: {e}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e03\u3001\u603b\u7ed3<\/h3>\n<\/p>\n<p><p>\u5728Python\u4e2d\u8fdb\u884c\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\uff0c\u53ef\u4ee5\u9009\u62e9math\u5e93\u3001numpy\u5e93\u548csympy\u5e93\u7b49\u5de5\u5177\u3002<strong>math\u5e93\u9002\u5408\u57fa\u672c\u6570\u503c\u8ba1\u7b97\uff0cnumpy\u5e93\u9002\u5408\u5927\u89c4\u6a21\u6570\u7ec4\u548c\u77e9\u9635\u8fd0\u7b97\uff0csympy\u5e93\u9002\u5408\u7b26\u53f7\u8fd0\u7b97\u548c\u89e3\u6790\u89e3\u3002<\/strong> \u8fd9\u4e9b\u5e93\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u529f\u80fd\uff0c\u53ef\u4ee5\u6ee1\u8db3\u4e0d\u540c\u7684\u9700\u6c42\u3002\u5728\u5177\u4f53\u5e94\u7528\u4e2d\uff0c\u5982\u4fe1\u53f7\u5904\u7406\u3001\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u548c\u5bfc\u822a\u5b9a\u4f4d\u7b49\u9886\u57df\uff0c\u4e09\u89d2\u51fd\u6570\u53d1\u6325\u4e86\u91cd\u8981\u4f5c\u7528\u3002\u901a\u8fc7\u5411\u91cf\u5316\u8fd0\u7b97\u548c\u5e76\u884c\u8ba1\u7b97\u7b49\u4f18\u5316\u6280\u672f\uff0c\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u4e09\u89d2\u51fd\u6570\u8fd0\u7b97\u7684\u6027\u80fd\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u5728Python\u4e2d\u4f7f\u7528\u4e09\u89d2\u51fd\u6570\u5e93\u8fdb\u884c\u8fd0\u7b97\uff1f<\/strong><br \/>Python\u63d0\u4f9b\u4e86<code>math<\/code>\u6a21\u5757\uff0c\u5185\u542b\u591a\u79cd\u4e09\u89d2\u51fd\u6570\u3002\u4f8b\u5982\uff0c\u4f7f\u7528<code>math.sin()<\/code>\u3001<code>math.cos()<\/code>\u548c<code>math.tan()<\/code>\u53ef\u4ee5\u5206\u522b\u8ba1\u7b97\u6b63\u5f26\u3001\u4f59\u5f26\u548c\u6b63\u5207\u503c\u3002\u5728\u4f7f\u7528\u524d\uff0c\u9700\u8981\u5bfc\u5165\u8be5\u6a21\u5757\uff0c\u5982<code>import math<\/code>\u3002\u6b64\u5916\uff0cPython\u4e2d\u7684\u4e09\u89d2\u51fd\u6570\u8f93\u5165\u503c\u901a\u5e38\u4e3a\u5f27\u5ea6\u800c\u975e\u89d2\u5ea6\uff0c\u56e0\u6b64\u5728\u8fdb\u884c\u8ba1\u7b97\u4e4b\u524d\uff0c\u53ef\u80fd\u9700\u8981\u4f7f\u7528<code>math.radians()<\/code>\u5c06\u89d2\u5ea6\u8f6c\u6362\u4e3a\u5f27\u5ea6\u3002<\/p>\n<p><strong>Python\u4e2d\u5982\u4f55\u5904\u7406\u4e09\u89d2\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff1f<\/strong><br \/>\u53cd\u4e09\u89d2\u51fd\u6570\u5728Python\u4e2d\u4e5f\u540c\u6837\u5b58\u5728\u4e8e<code>math<\/code>\u6a21\u5757\u4e2d\uff0c\u4f8b\u5982\uff0c<code>math.asin()<\/code>\u3001<code>math.acos()<\/code>\u548c<code>math.atan()<\/code>\u53ef\u7528\u4e8e\u8ba1\u7b97\u53cd\u6b63\u5f26\u3001\u53cd\u4f59\u5f26\u548c\u53cd\u6b63\u5207\u3002\u4f7f\u7528\u8fd9\u4e9b\u51fd\u6570\u65f6\uff0c\u540c\u6837\u8981\u6ce8\u610f\u8f93\u5165\u503c\u7684\u8303\u56f4\u3002\u4f8b\u5982\uff0c<code>math.asin()<\/code>\u7684\u8f93\u5165\u503c\u8303\u56f4\u5e94\u5728-1\u52301\u4e4b\u95f4\uff0c\u4ee5\u786e\u4fdd\u8ba1\u7b97\u5f97\u5230\u6709\u6548\u7ed3\u679c\u3002<\/p>\n<p><strong>\u5982\u4f55\u5728Python\u4e2d\u7ed8\u5236\u4e09\u89d2\u51fd\u6570\u56fe\u50cf\uff1f<\/strong><br \/>\u4f7f\u7528<code>matplotlib<\/code>\u5e93\u53ef\u4ee5\u65b9\u4fbf\u5730\u7ed8\u5236\u4e09\u89d2\u51fd\u6570\u7684\u56fe\u50cf\u3002\u9996\u5148\uff0c\u5bfc\u5165<code>numpy<\/code>\u548c<code>matplotlib.pyplot<\/code>\u5e93\u3002\u4f7f\u7528<code>numpy<\/code>\u751f\u6210\u4e00\u7cfb\u5217\u7684\u89d2\u5ea6\u503c\uff08\u901a\u5e38\u4e3a\u5f27\u5ea6\uff09\uff0c\u7136\u540e\u901a\u8fc7<code>math<\/code>\u6a21\u5757\u8ba1\u7b97\u5bf9\u5e94\u7684\u4e09\u89d2\u51fd\u6570\u503c\u3002\u6700\u540e\uff0c\u5229\u7528<code>plt.plot()<\/code>\u51fd\u6570\u7ed8\u5236\u56fe\u5f62\uff0c\u5e76\u901a\u8fc7<code>plt.show()<\/code>\u5c55\u793a\u7ed3\u679c\u3002\u8fd9\u79cd\u65b9\u5f0f\u4e0d\u4ec5\u53ef\u4ee5\u5e2e\u52a9\u7406\u89e3\u4e09\u89d2\u51fd\u6570\u7684\u53d8\u5316\uff0c\u8fd8\u80fd\u5728\u5b66\u4e60\u4e2d\u63d0\u4f9b\u76f4\u89c2\u7684\u89c6\u89c9\u6548\u679c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5728Python\u4e2d\u8fdb\u884c\u4e09\u89d2\u51fd\u6570\u7684\u8fd0\u7b97\uff0c\u4e3b\u8981\u4f7f\u7528math\u5e93\u3001numpy\u5e93\u3001\u4ee5\u53casympy\u5e93\u3002\u8fd9\u4e9b\u5e93\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u4e09\u89d2 [&hellip;]","protected":false},"author":3,"featured_media":1144905,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1144895"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=1144895"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1144895\/revisions"}],"predecessor-version":[{"id":1144908,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1144895\/revisions\/1144908"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1144905"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1144895"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1144895"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1144895"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}