{"id":973139,"date":"2024-12-27T05:54:28","date_gmt":"2024-12-26T21:54:28","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/973139.html"},"modified":"2024-12-27T05:54:31","modified_gmt":"2024-12-26T21:54:31","slug":"python%e5%a6%82%e4%bd%95%e7%94%9f%e6%88%90m%e5%ba%8f%e5%88%97","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/973139.html","title":{"rendered":"python\u5982\u4f55\u751f\u6210m\u5e8f\u5217"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/24195450\/b4ec91ed-82cd-47a9-986b-8d091e0ed7cc.webp\" alt=\"python\u5982\u4f55\u751f\u6210m\u5e8f\u5217\" \/><\/p>\n<p><p> <strong>Python\u751f\u6210m\u5e8f\u5217\u7684\u65b9\u6cd5\u5305\u62ec\uff1a\u4f7f\u7528\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\u3001\u5e94\u7528\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08LFSR\uff09\u3001\u5229\u7528\u73b0\u6709\u5e93\u3002\u63a8\u8350\u4f7f\u7528\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08LFSR\uff09\u65b9\u6cd5\uff0c\u56e0\u5176\u7b80\u5355\u6613\u7528\u3001\u6613\u4e8e\u7406\u89e3\u3002<\/strong><\/p>\n<\/p>\n<p><p>\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08LFSR\uff09\u662f\u4e00\u79cd\u5e38\u7528\u7684\u751f\u6210m\u5e8f\u5217\u7684\u65b9\u6cd5\uff0c\u5176\u6838\u5fc3\u601d\u60f3\u662f\u5229\u7528\u4e00\u4e2a\u5bc4\u5b58\u5668\u548c\u53cd\u9988\u591a\u9879\u5f0f\uff0c\u901a\u8fc7\u79fb\u4f4d\u548c\u53cd\u9988\u64cd\u4f5c\u751f\u6210\u4f2a\u968f\u673a\u5e8f\u5217\u3002LFSR\u662f\u57fa\u4e8e\u79fb\u4f4d\u5bc4\u5b58\u5668\u7684\u53cd\u9988\u673a\u5236\uff0c\u5f53\u5bc4\u5b58\u5668\u7684\u72b6\u6001\u66f4\u65b0\u65f6\uff0c\u6839\u636e\u53cd\u9988\u591a\u9879\u5f0f\u8ba1\u7b97\u53cd\u9988\u503c\uff0c\u5e76\u5c06\u5176\u8f93\u5165\u5bc4\u5b58\u5668\u7684\u6700\u4f4e\u4f4d\uff0c\u4ece\u800c\u4ea7\u751f\u65b0\u7684\u5bc4\u5b58\u5668\u72b6\u6001\u3002<\/p>\n<\/p>\n<p><p>\u63a5\u4e0b\u6765\uff0c\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u5982\u4f55\u5728Python\u4e2d\u4f7f\u7528\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08LFSR\uff09\u751f\u6210m\u5e8f\u5217\u3002<\/p>\n<\/p>\n<p><h3>\u4e00\u3001\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08LFSR\uff09\u7b80\u4ecb<\/h3>\n<\/p>\n<p><p>LFSR\u662f\u4e00\u79cd\u5b9e\u73b0\u4f2a\u968f\u673a\u5e8f\u5217\u751f\u6210\u7684\u6709\u6548\u65b9\u6cd5\u3002\u5b83\u7531\u4e00\u4e2an\u4f4d\u5bc4\u5b58\u5668\u548c\u4e00\u4e2a\u53cd\u9988\u591a\u9879\u5f0f\u6784\u6210\u3002\u53cd\u9988\u591a\u9879\u5f0f\u901a\u5e38\u7528n\u6b21\u4e8c\u5143\u591a\u9879\u5f0f\u8868\u793a\uff0c\u5176\u4e2d\u7684\u7cfb\u6570\u4e3a0\u62161\u3002LFSR\u7684\u5de5\u4f5c\u539f\u7406\u662f\uff1a\u6bcf\u6b21\u5c06\u5bc4\u5b58\u5668\u7684\u72b6\u6001\u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\uff0c\u6700\u5de6\u8fb9\u7684\u4f4d\u7531\u53cd\u9988\u591a\u9879\u5f0f\u51b3\u5b9a\u3002<\/p>\n<\/p>\n<p><h4>1. LFSR\u7684\u57fa\u672c\u7ed3\u6784<\/h4>\n<\/p>\n<p><p>LFSR\u7684\u57fa\u672c\u7ed3\u6784\u5305\u62ec\u4ee5\u4e0b\u51e0\u4e2a\u90e8\u5206\uff1a<\/p>\n<\/p>\n<ul>\n<li><strong>\u5bc4\u5b58\u5668\uff08Register\uff09<\/strong>\uff1a\u5b58\u50a8n\u4f4d\u7684\u5f53\u524d\u72b6\u6001\u3002<\/li>\n<li><strong>\u53cd\u9988\u591a\u9879\u5f0f\uff08Feedback Polynomial\uff09<\/strong>\uff1a\u51b3\u5b9a\u54ea\u4e9b\u4f4d\u7684\u503c\u5c06\u7528\u4e8e\u8ba1\u7b97\u53cd\u9988\u503c\u3002\u901a\u5e38\uff0c\u53cd\u9988\u591a\u9879\u5f0f\u7528\u4e8c\u5143\u591a\u9879\u5f0f\u8868\u793a\u3002<\/li>\n<li><strong>\u53cd\u9988\u503c\uff08Feedback Value\uff09<\/strong>\uff1a\u6839\u636e\u53cd\u9988\u591a\u9879\u5f0f\u8ba1\u7b97\u51fa\u7684\u503c\uff0c\u7528\u4e8e\u66f4\u65b0\u5bc4\u5b58\u5668\u7684\u6700\u5de6\u8fb9\u4f4d\u3002<\/li>\n<\/ul>\n<p><h4>2. LFSR\u7684\u5de5\u4f5c\u539f\u7406<\/h4>\n<\/p>\n<p><p>LFSR\u7684\u5de5\u4f5c\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u521d\u59cb\u5316n\u4f4d\u5bc4\u5b58\u5668\u7684\u72b6\u6001\u3002<\/li>\n<li>\u6839\u636e\u53cd\u9988\u591a\u9879\u5f0f\u8ba1\u7b97\u53cd\u9988\u503c\u3002<\/li>\n<li>\u5c06\u5bc4\u5b58\u5668\u7684\u72b6\u6001\u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\uff0c\u6700\u5de6\u8fb9\u4f4d\u7531\u53cd\u9988\u503c\u51b3\u5b9a\u3002<\/li>\n<li>\u91cd\u590d\u6b65\u9aa42\u548c3\uff0c\u76f4\u5230\u751f\u6210\u6240\u9700\u957f\u5ea6\u7684\u5e8f\u5217\u3002<\/li>\n<\/ol>\n<p><h3>\u4e8c\u3001Python\u5b9e\u73b0LFSR\u751f\u6210m\u5e8f\u5217<\/h3>\n<\/p>\n<p><p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u4e00\u4e2aPython\u793a\u4f8b\u6765\u5b9e\u73b0LFSR\u751f\u6210m\u5e8f\u5217\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def lfsr(seed, taps, length):<\/p>\n<p>    &quot;&quot;&quot;<\/p>\n<p>    \u4f7f\u7528\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08LFSR\uff09\u751f\u6210m\u5e8f\u5217\u3002<\/p>\n<p>    \u53c2\u6570\uff1a<\/p>\n<p>    seed -- \u521d\u59cb\u79cd\u5b50\uff08\u6574\u6570\uff09<\/p>\n<p>    taps -- \u53cd\u9988\u591a\u9879\u5f0f\u7684\u4f4d\u7f6e\uff08\u5217\u8868\uff09<\/p>\n<p>    length -- \u751f\u6210\u5e8f\u5217\u7684\u957f\u5ea6\uff08\u6574\u6570\uff09<\/p>\n<p>    \u8fd4\u56de\uff1a<\/p>\n<p>    \u5e8f\u5217\uff08\u5217\u8868\uff09<\/p>\n<p>    &quot;&quot;&quot;<\/p>\n<p>    # \u521d\u59cb\u5316\u5bc4\u5b58\u5668\u72b6\u6001<\/p>\n<p>    n = len(seed)<\/p>\n<p>    state = seed.copy()<\/p>\n<p>    sequence = []<\/p>\n<p>    for _ in range(length):<\/p>\n<p>        # \u8ba1\u7b97\u53cd\u9988\u503c<\/p>\n<p>        feedback = sum([state[i] for i in taps]) % 2<\/p>\n<p>        sequence.append(state[-1])<\/p>\n<p>        # \u66f4\u65b0\u5bc4\u5b58\u5668\u72b6\u6001<\/p>\n<p>        state = [feedback] + state[:-1]<\/p>\n<p>    return sequence<\/p>\n<h2><strong>\u793a\u4f8b\u4f7f\u7528<\/strong><\/h2>\n<p>seed = [1, 0, 0, 1]  # \u521d\u59cb\u79cd\u5b50<\/p>\n<p>taps = [0, 3]       # \u53cd\u9988\u591a\u9879\u5f0f\u7684\u4f4d\u7f6e<\/p>\n<p>length = 15         # \u5e8f\u5217\u957f\u5ea6<\/p>\n<p>m_sequence = lfsr(seed, taps, length)<\/p>\n<p>print(&quot;\u751f\u6210\u7684m\u5e8f\u5217:&quot;, m_sequence)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>1. \u4ee3\u7801\u89e3\u91ca<\/h4>\n<\/p>\n<ul>\n<li>\n<p><strong>\u8f93\u5165\u53c2\u6570<\/strong>\uff1a<\/p>\n<\/p>\n<ul>\n<li><code>seed<\/code>\uff1a\u521d\u59cb\u79cd\u5b50\uff0c\u8868\u793a\u5bc4\u5b58\u5668\u7684\u521d\u59cb\u72b6\u6001\u3002<\/li>\n<li><code>taps<\/code>\uff1a\u53cd\u9988\u591a\u9879\u5f0f\u7684\u4f4d\u7f6e\uff0c\u8868\u793a\u7528\u4e8e\u8ba1\u7b97\u53cd\u9988\u503c\u7684\u4f4d\u3002<\/li>\n<li><code>length<\/code>\uff1a\u751f\u6210\u5e8f\u5217\u7684\u957f\u5ea6\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u8f93\u51fa<\/strong>\uff1a<\/p>\n<\/p>\n<ul>\n<li>\u8fd4\u56de\u751f\u6210\u7684m\u5e8f\u5217\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u8fc7\u7a0b<\/strong>\uff1a<\/p>\n<\/p>\n<ul>\n<li>\u521d\u59cb\u5316\u5bc4\u5b58\u5668\u72b6\u6001\u4e3a\u79cd\u5b50\u3002<\/li>\n<li>\u8ba1\u7b97\u53cd\u9988\u503c\uff0c\u66f4\u65b0\u5bc4\u5b58\u5668\u72b6\u6001\u3002<\/li>\n<li>\u91cd\u590d\u4e0a\u8ff0\u8fc7\u7a0b\uff0c\u76f4\u5230\u751f\u6210\u6240\u9700\u957f\u5ea6\u7684\u5e8f\u5217\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><h3>\u4e09\u3001\u9009\u62e9\u53cd\u9988\u591a\u9879\u5f0f\u7684\u91cd\u8981\u6027<\/h3>\n<\/p>\n<p><p>\u751f\u6210m\u5e8f\u5217\u7684\u5173\u952e\u5728\u4e8e\u9009\u62e9\u5408\u9002\u7684\u53cd\u9988\u591a\u9879\u5f0f\u3002\u53cd\u9988\u591a\u9879\u5f0f\u7684\u9009\u62e9\u5c06\u76f4\u63a5\u5f71\u54cd\u751f\u6210\u5e8f\u5217\u7684\u5468\u671f\u6027\u548c\u968f\u673a\u6027\u3002\u5bf9\u4e8e\u4e00\u4e2an\u4f4d\u7684LFSR\uff0c\u9009\u62e9\u5408\u9002\u7684\u53cd\u9988\u591a\u9879\u5f0f\u53ef\u4ee5\u751f\u6210\u957f\u5ea6\u4e3a<code>2^n - 1<\/code>\u7684\u6700\u5927\u5468\u671f\u5e8f\u5217\u3002<\/p>\n<\/p>\n<p><h4>1. \u53cd\u9988\u591a\u9879\u5f0f\u7684\u9009\u62e9<\/h4>\n<\/p>\n<p><p>\u53cd\u9988\u591a\u9879\u5f0f\u901a\u5e38\u9009\u62e9\u4e3a\u201c\u672c\u539f\u591a\u9879\u5f0f\u201d\uff08Primitive Polynomial\uff09\uff0c\u5b83\u4eec\u5728\u6709\u9650\u57dfGF(2)\u4e0a\u4e0d\u53ef\u7ea6\uff0c\u5e76\u4e14\u80fd\u751f\u6210\u6700\u5927\u957f\u5ea6\u7684\u5468\u671f\u5e8f\u5217\u3002<\/p>\n<\/p>\n<p><p>\u4f8b\u5982\uff0c\u5bf9\u4e8e\u4e00\u4e2a4\u4f4d\u7684LFSR\uff0c\u53cd\u9988\u591a\u9879\u5f0f<code>x^4 + x + 1<\/code>\u662f\u4e00\u4e2a\u672c\u539f\u591a\u9879\u5f0f\uff0c\u53ef\u4ee5\u751f\u6210\u957f\u5ea6\u4e3a15\u7684\u6700\u5927\u5468\u671f\u5e8f\u5217\u3002<\/p>\n<\/p>\n<p><h4>2. \u5982\u4f55\u627e\u5230\u672c\u539f\u591a\u9879\u5f0f<\/h4>\n<\/p>\n<p><p>\u627e\u5230\u672c\u539f\u591a\u9879\u5f0f\u7684\u65b9\u6cd5\u5305\u62ec\u67e5\u9605\u76f8\u5173\u6587\u732e\u6216\u4f7f\u7528\u4e13\u7528\u7684\u6570\u5b66\u8f6f\u4ef6\u5de5\u5177\u3002\u5e38\u89c1\u7684\u672c\u539f\u591a\u9879\u5f0f\u53ef\u4ee5\u901a\u8fc7\u67e5\u9605\u516c\u5f00\u7684\u672c\u539f\u591a\u9879\u5f0f\u8868\u83b7\u5f97\u3002<\/p>\n<\/p>\n<p><h3>\u56db\u3001\u5e94\u7528\u548c\u6269\u5c55<\/h3>\n<\/p>\n<p><p>LFSR\u548cm\u5e8f\u5217\u5728\u901a\u4fe1\u3001\u52a0\u5bc6\u3001\u6d4b\u8bd5\u7b49\u9886\u57df\u6709\u5e7f\u6cdb\u5e94\u7528\u3002\u901a\u8fc7\u6269\u5c55LFSR\u7684\u57fa\u672c\u7ed3\u6784\uff0c\u53ef\u4ee5\u5b9e\u73b0\u66f4\u590d\u6742\u7684\u5e8f\u5217\u751f\u6210\uff0c\u4f8b\u5982\uff1a<\/p>\n<\/p>\n<p><h4>1. \u591a\u9879\u5f0fLFSR<\/h4>\n<\/p>\n<p><p>\u901a\u8fc7\u7ec4\u5408\u591a\u4e2aLFSR\uff0c\u53ef\u4ee5\u751f\u6210\u66f4\u590d\u6742\u7684\u5e8f\u5217\u3002\u8fd9\u79cd\u65b9\u6cd5\u5e38\u7528\u4e8e\u52a0\u5bc6\u548c\u6269\u9891\u901a\u4fe1\u4e2d\u3002<\/p>\n<\/p>\n<p><h4>2. \u975e\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08NLFSR\uff09<\/h4>\n<\/p>\n<p><p>\u5f15\u5165\u975e\u7ebf\u6027\u53cd\u9988\u673a\u5236\uff0c\u53ef\u4ee5\u751f\u6210\u66f4\u590d\u6742\u7684\u4f2a\u968f\u673a\u5e8f\u5217\uff0c\u589e\u5f3a\u5e8f\u5217\u7684\u5b89\u5168\u6027\u548c\u968f\u673a\u6027\u3002<\/p>\n<\/p>\n<p><h3>\u4e94\u3001\u603b\u7ed3<\/h3>\n<\/p>\n<p><p>\u901a\u8fc7\u4f7f\u7528\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08LFSR\uff09\uff0c\u6211\u4eec\u53ef\u4ee5\u5728Python\u4e2d\u9ad8\u6548\u751f\u6210m\u5e8f\u5217\u3002\u9009\u62e9\u5408\u9002\u7684\u53cd\u9988\u591a\u9879\u5f0f\u662f\u751f\u6210\u9ad8\u8d28\u91cf\u5e8f\u5217\u7684\u5173\u952e\u3002\u5728\u5b9e\u8df5\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u5177\u4f53\u9700\u6c42\u9009\u62e9\u9002\u5f53\u7684LFSR\u7ed3\u6784\u548c\u53c2\u6570\uff0c\u4ee5\u6ee1\u8db3\u4e0d\u540c\u5e94\u7528\u573a\u666f\u7684\u8981\u6c42\u3002\u65e0\u8bba\u662f\u5728\u901a\u4fe1\u7cfb\u7edf\u4e2d\u7528\u4e8e\u6269\u9891\uff0c\u8fd8\u662f\u5728\u5bc6\u7801\u5b66\u4e2d\u7528\u4e8e\u52a0\u5bc6\uff0cLFSR\u90fd\u662f\u751f\u6210\u4f2a\u968f\u673a\u5e8f\u5217\u7684\u91cd\u8981\u5de5\u5177\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u4ec0\u4e48\u662fm\u5e8f\u5217\uff0c\u5728Python\u4e2d\u5982\u4f55\u5b9a\u4e49\u5b83\uff1f<\/strong><br \/>m\u5e8f\u5217\uff0c\u4e5f\u88ab\u79f0\u4e3a\u6700\u5927\u957f\u5ea6\u5e8f\u5217\uff0c\u662f\u4e00\u79cd\u4f2a\u968f\u673a\u5e8f\u5217\uff0c\u5e38\u7528\u4e8e\u6570\u5b57\u901a\u4fe1\u548c\u4fe1\u53f7\u5904\u7406\u3002\u5b83\u901a\u8fc7\u7ebf\u6027\u53cd\u9988\u79fb\u4f4d\u5bc4\u5b58\u5668\uff08LFSR\uff09\u751f\u6210\u3002\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u901a\u8fc7\u5b9a\u4e49LFSR\u7684\u591a\u9879\u5f0f\u548c\u521d\u59cb\u72b6\u6001\u6765\u751f\u6210m\u5e8f\u5217\u3002\u53ef\u4ee5\u4f7f\u7528numpy\u5e93\u6765\u65b9\u4fbf\u5730\u5904\u7406\u6570\u7ec4\u548c\u751f\u6210\u5e8f\u5217\u3002<\/p>\n<p><strong>\u751f\u6210m\u5e8f\u5217\u7684\u5e38\u89c1\u5e94\u7528\u573a\u666f\u662f\u4ec0\u4e48\uff1f<\/strong><br 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