\u958b\u5834\u5148\u4e0a\u5169\u500b\u904a\u6232\u76f8\u95dc\u7684\u65b0\u805e\u3002<\/p>\n\n\n\n
\u5176\u4e00\u61c9\u8a72\u6bd4\u8f03\u591a\u4eba\u77e5\u9053\uff1a\u6700\u8fd1\u65b0\u51fa\u7684\u300a\u9b54\u7269\u7375\u4eba \u5d1b\u8d77\u300b\u7576\u4e2d\uff0c\u7528\u4f86\u62bd\u9078\u934a\u91d1\u77f3\u7684\u3008\u934a\u91d1\u8853\u30fb\u5e7d\u7384\u3009\u88ab\u7206\u51fa\u5728\u5f88\u5c11\u91cf\u7684\u62bd\u9078\u4e4b\u5f8c\u7adf\u7136\u5c31\u958b\u59cb\u5faa\u74b0\uff0c\u9020\u6210\u6839\u64da\u73a9\u5bb6\u4e0d\u540c\uff0c\u6709\u7684\u4eba\u53ea\u6703\u5f97\u5230\u67d0\u5e7e\u7a2e\u7d50\u679c\u4e0d\u65b7\u5faa\u74b0\uff0c\u7121\u6cd5\u7372\u5f97\u5176\u4ed6\u7a2e\u985e\u3002\u9019\u4ef6\u4e8b\u570b\u5167\u5916\u6709\u4e0d\u5c11\u7db2\u7ad9\u6709\u5831\u544a\u904e\uff0c\u5927\u5bb6\u81ea\u5df1\u641c\u5c0b\u4e00\u4e0b\u90fd\u627e\u5f97\u5230\u3002<\/p>\n\n\n\n
\u5176\u4e8c\u5927\u6982\u5c31\u6bd4\u8f03\u5c11\u4eba\u77e5\u9053\u4e86\uff1a\u8001\u724c\u6c99\u76d2\u904a\u6232\u300aMinecraft\u300b\u7576\u4e2d\uff0c\u88ab\u4eba\u767c\u73fe\u6709\u4e00\u4e9b\u4e82\u6578\u751f\u6210\u7684\u7279\u5fb5\u5177\u6709\u4e0d\u53ef\u601d\u8b70\u7684\u95dc\u9023\u6027\uff0c\u5305\u542b\u4e00\u4e9b\u5be6\u969b\u8ddd\u96e2\u5f88\u9060\u7684\u7279\u6027 (\u4f8b\u5982\u5730\u8868\u7684\u9ecf\u571f\u5806\u548c\u5730\u5e95\u7684\u947d\u77f3\u5718\uff0c\u5b83\u5011\u7684\u6c34\u5e73\u5ea7\u6a19\u7adf\u7136\u53ef\u4ee5\u975e\u5e38\u63a5\u8fd1)\u3002\u6211\u9019\u88e1\u9023\u7d50\u5169\u7bc7\u6587\uff0c\u4e00\u7bc7\u662f\u5176\u4ed6\u4eba\u8f49\u8cbc\u5230 PTT \u7684 Minecraft \u7248\u7684\u6587\u7ae0\u5728\u9019\u88e1<\/a>\uff0c\u4e00\u7bc7\u5247\u662f\u6211\u7c21\u55ae\u5730\u89e3\u8aaa\u80cc\u5f8c\u7684\u539f\u56e0\u5728\u9019\u88e1<\/a>\u3002<\/p>\n\n\n\n \u9019\u5169\u500b\u65b0\u805e\u6240\u63d0\u7684\u73fe\u8c61\u96d6\u7136\u770b\u8d77\u4f86\u4e0d\u592a\u4e00\u6a23\uff0c\u4f46\u90fd\u6709\u4e00\u500b\u7279\u6027\uff1a\u9019\u500b\u300c\u4e82\u6578\u300d\u600e\u9ebc\u770b\u8d77\u4f86\u4e26\u4e0d\u4e82\uff1f<\/p>\n\n\n\n\n\n\n\n \u9996\u5148\uff0c\u6211\u4e0d\u78ba\u5b9a\u9019\u500b\u89c0\u5ff5\u662f\u4e0d\u662f\u5f88\u591a\u4eba\u90fd\u6709\u4e86\u6240\u4ee5\u5728\u6b64\u91cd\u63d0\u4e00\u6b21\uff1a<\/p>\n\n\n\n \u96fb\u8166\u7a0b\u5f0f\u4e26\u6c92\u6709\u300c\u771f\u300d\u96a8\u6a5f\uff0c\u53ea\u6709\u6839\u64da\u6f14\u7b97\u6cd5\u7522\u751f\u7684\u300c\u507d\u300d\u96a8\u6a5f\u4e82\u6578\u3002<\/em><\/strong><\/p>\n\n\n\n \u7a0b\u5f0f\u7121\u6cd5\u7121\u4e2d\u751f\u6709\u751f\u51fa\u96a8\u6a5f\u503c\uff0c\u53ea\u80fd\u6839\u64da\u56fa\u5b9a\u7684\u8f38\u5165\u7522\u751f\u56fa\u5b9a\u7684\u8f38\u51fa\uff1b\u56e0\u6b64\u6211\u5011\u9700\u8981\u7684\u662f\u4e00\u500b\u6f14\u7b97\u6cd5\uff0c\u7d66\u5b9a\u4e00\u4e9b\u8f38\u5165\uff08\u7a31\u505a\u300c\u7a2e\u5b50\u300d\uff09\uff0c\u80fd\u5920\u7522\u751f\u51fa\u300c\u7d71\u8a08\u4e0a\u300d\u770b\u8d77\u4f86\u662f\u96a8\u6a5f\u7684\u8f38\u51fa\u3002\u9019\u500b\u300c\u7d71\u8a08\u4e0a\u7684\u96a8\u6a5f\u300d\uff0c\u610f\u601d\u662f\u5728\u7522\u751f\u8db3\u5920\u9577\u7684\u5e8f\u5217\u4e4b\u5f8c\uff0c\u5176\u67d0\u4e9b\u7d71\u8a08\u91cf\u5177\u6709\u8ddf\u7406\u8ad6\u4e0a\u7684\u96a8\u6a5f\u5e8f\u5217\u985e\u4f3c\u7684\u7d50\u679c\u3002\u9019\u5728\u6578\u5b78\u4e0a\u53ef\u4ee5\u8868\u793a\u70ba\u4e00\u500b\u7d71\u8a08\u6aa2\u5b9a\u554f\u984c\uff1a\u9019\u4e9b\u7522\u751f\u51fa\u4f86\u7684\u5e8f\u5217\u662f\u5426\u7b26\u5408\u300c\u9019\u662f\u7531\u7406\u8ad6\u96a8\u6a5f\u7522\u751f\u5668\u7522\u751f\u7684\u5e8f\u5217\u300d\u9019\u6a23\u7684\u7d71\u8a08\u5047\u8a2d\uff1f\u4e0d\u904e\u9019\u65b9\u9762\u4e0d\u662f\u6211\u5011\u4eca\u5929\u7684\u4e3b\u984c\uff0c\u5c31\u5728\u6b64\u8868\u904e\u4e0d\u63d0\u3002\u6709\u8208\u8da3\u7684\u4eba\u53ef\u4ee5\u5f9e\u82f1\u6587\u7dad\u57fa\u767e\u79d1\u689d\u76ee Statistical randomness<\/a> \u53ca Randomness test<\/a> \u958b\u59cb\u7814\u7a76\u3002<\/p>\n\n\n\n \u5728\u904a\u6232\u65b9\u9762\u4f7f\u7528\u7684\u4e82\u6578\u7d55\u5927\u90e8\u4efd\u90fd\u662f\u4f7f\u7528\u5404\u500b\u7a0b\u5f0f\u8a9e\u8a00\u5167\u5efa\u7684\u300c\u7dda\u6027\u540c\u9918\u7522\u751f\u5668\u300d(Linear Congruential Generator, LCG)\u3002\u9019\u9ebc\u7a31\u547c\u7684\u539f\u56e0\u662f\uff0c\u9019\u500b\u6c7a\u5b9a\u4e0b\u4e00\u500b\u4e82\u6578\u7684\u6f14\u7b97\u6cd5\u53ef\u4ee5\u8868\u793a\u70ba\u9019\u6a23\u7684\u6578\u5b78\u516c\u5f0f\uff1a<\/p>\n\n\n\n $$X_{k+1}=a\\cdot X_k+c\\mod m$$<\/p>\n\n\n\n \u5176\u4e2d \\(a, c, m\\) \u662f\u56fa\u5b9a\u7684\u5e38\u6578\uff0c\\(X_k\\) \u662f\u524d\u4e00\u500b\u4e82\u6578\uff0c\\(X_{k+1}\\) \u5247\u662f\u6240\u7522\u751f\u7684\u4e0b\u4e00\u500b\u4e82\u6578\u3002\u9019\u689d\u516c\u5f0f\u662f\u7dda\u6027\u516c\u5f0f\uff08\u8f38\u5165\u503c\u7684\u4e00\u6b21\u5f0f\uff09\uff0c\u7b97\u5b8c\u5f8c\u9664\u4ee5\u4e00\u500b\u9664\u6578 \\(m\\) \u6c42\u9918\u6578\uff0c\u56e0\u6b64\u624d\u7a31\u505a\u300c\u7dda\u6027\u540c\u9918\u300d\u30021<\/a><\/sup><\/p>\n\n\n\n \u6703\u63d0\u51fa\u9019\u500b\u5f0f\u5b50\u7684\u539f\u56e0\u5176\u5be6\u548c\u4e58\u6cd5\u7fa4\u88e1\u7684\u539f\u6839\u6709\u95dc\u3002\u539f\u6839\u5177\u6709\u7684\u6027\u8cea\u662f\uff1a<\/p>\n\n\n\n \u5c0d\u6b63\u6574\u6578 \\((a,m)=1\\)\uff0c\u5982\u679c \\(a\\) \u662f\u6a21 \\(m\\) \u7684\u539f\u6839\uff0c\u90a3\u9ebc \\(a\\) \u662f\u6574\u6578\u6a21 \\(m\\) \u4e58\u6cd5\u7fa4 […] \\(\\mathbb{Z}_m^\\times\\) \u7684\u4e00\u500b\u751f\u6210\u5143\u3002<\/p>\n\u4e2d\u6587\u7dad\u57fa\u767e\u79d1 \u539f\u6839<\/a> \u689d\u76ee<\/cite><\/blockquote>\n\n\n\n \u300c\u751f\u6210\u5143\u300d\u767d\u8a71\u5730\u8aaa\u5c31\u662f\uff1a\u5982\u679c\u4e00\u76f4\u9032\u884c\u4e58\u4ee5 \\(a\\) \u4e4b\u5f8c\u9664\u4ee5 \\(m\\) \u6c42\u9918\u6578\u7684\u8a71\uff0c\u5b83\u53ef\u4ee5\u53d6\u904d \\(1\\) \u5230 \\(m-1\\) \u4e2d\u548c \\(m\\) \u4e92\u8cea\u7684\u6240\u6709\u6578\uff0c\u56e0\u6b64\u6bcf \\(\\varphi(m)\\) \u500b\u6578\u5c31\u6703\u5faa\u74b0\u3002\u90a3\u9ebc\uff0c\u7576\u53d6 \\(m\\) \u662f\u4e00\u500b\u8cea\u6578\u6642\uff0c\u5c31\u80fd\u7372\u5f97\u4e00\u500b \\(1\\) \u5230 \\(m-1\\) \u7684\u6392\u5217\uff0c\u9019\u5c31\u63d0\u4f9b\u4e86\u4e00\u500b\u76f4\u89ba\u4e0a\u7684\u300c\u4e82\u6578\u6392\u5217\u300d\u3002\\(+c\\) \u7684\u4f5c\u7528\u5247\u662f\u5c07\u9019\u6a23\u7522\u751f\u7684\u5e8f\u5217\u9032\u884c\u67d0\u500b\u7a0b\u5ea6\u7684\u5e73\u79fb\uff0c\u8b93\u5373\u4f7f\u55ae\u7368\u4e58\u4ee5 \\(a\\) \u7121\u6cd5\u7522\u751f\u5168\u6392\u5217\u7684\u72c0\u6cc1\u4e5f\u6709\u6a5f\u6703\u52a0\u4e0a\u5e73\u79fb\u7522\u751f\u5168\u6392\u5217\uff0c\u751a\u81f3\u9023\u539f\u5148\u53ea\u9760\u4e58\u6642\u7121\u6cd5\u7522\u751f\u7684 \\(0\\) \u4e5f\u6709\u6a5f\u6703\u7522\u751f\u4e86\u3002<\/p>\n\n\n\n \u4e00\u500b\u7c21\u55ae\u7684\u4f8b\u5b50\uff1a\u82e5\u6211\u5011\u53d6 \\(a=41, c=17, m=100\\)\uff0c\u5247\u5f9e \\(X_0=0\\) \u958b\u59cb\u53ef\u4ee5\u4f9d\u5e8f\u5f97\u5230\u9019\u500b\u5e8f\u5217\uff1a \u9019\u7a2e\u578b\u5f0f\u7684\u7522\u751f\u5668\u6709\u500b\u5f88\u660e\u986f\u7684\u7f3a\u9ede\uff1a\u56fa\u5b9a\u5e38\u6578 \\(a, c, m\\) \u4e0d\u80fd\u96a8\u4fbf\u4e82\u9078\u3002\u4e0d\u662f\u6240\u6709\u7684\\(a, c, m\\) \u7684\u7d44\u5408\u90fd\u6703\u7522\u751f\u5168\u6392\u5217 (\u6709\u4e00\u4e9b\u6578\u5b78\u4e0a\u7684\u5fc5\u8981\u689d\u4ef6\u5b58\u5728)\uff0c\u800c\u5c31\u7b97\u662f\u5168\u6392\u5217\u4e5f\u4e0d\u4e00\u5b9a\u5920\u4e82\u3002\u8209\u500b\u4f8b\uff1a\u5982\u679c\u9078 \\(a=c=1\\)\uff0c\u90a3\u9ebc\u96d6\u7136\u6211\u5011\u5f97\u5230\u4e86\u4e00\u500b \\(0\\) \u5230 \\(m-1\\) \u7684\u6392\u5217\uff0c\u4f46\u537b\u662f\u6309\u7167 \\(0, 1, 2, \\cdots, m-1\\) \u7684\u9806\u5e8f\u7522\u751f\uff0c\u9019\u986f\u7136\u4e0d\u80fd\u7a31\u505a\u300c\u4e82\u300d\u6578\u3002\u597d\u4e00\u9ede\u7684\u4e58\u6578\u80fd\u5920\u7a0d\u5fae\u6253\u6563\u4e00\u9ede\u9019\u6a23\u7684\u300c\u9806\u5e8f\u6027\u300d\uff0c\u4f46\u5176\u66f4\u6df1\u5c64\u7684\u95dc\u9023\u6027\u537b\u662f\u5230\u4e86\u8fd1\u4e8c\u4e09\u5341\u5e74\u624d\u88ab\u8a73\u7d30\u7684\u7814\u7a76\u5206\u6790\u7684\u3002<\/p>\n\n\n\n \u5728\u9084\u627e\u4e0d\u5230\u66f4\u597d\u7684\u6f14\u7b97\u6cd5\u4e4b\u524d\uff0c\u5176\u5be6\u662f\u6709\u4e00\u500b\u7c21\u55ae\u7684\u7528\u5728 LCG \u4e0a\u7684\u88dc\u6551\u6cd5\u7684\uff1a\u628a\u5167\u90e8\u72c0\u614b\u7684\u7bc4\u570d\u53d6\u5927\u4e00\u9ede\uff0c\u7136\u5f8c\u53ea\u53d6\u66f4\u65b0\u5f8c\u7684\u9ad8\u4f4d\u4f4d\u5143\u505a\u70ba\u8f38\u51fa\u3002\u7406\u7531\u5f88\u7c21\u55ae\uff1a\u5982\u679c\u4e82\u6578\u6bcf\u6b21\u90fd\u662f \\(m\\) \u500b\u4e00\u7d44\u6bcf\u500b\u6578\u5b57\u5404\u4e00\u6b21\uff0c\u90a3\u986f\u7136\u4e5f\u4e0d\u5f88\u300c\u4e82\u300d\uff1b\u90a3\u5982\u679c\u4e1f\u68c4\u6389\u5faa\u74b0\u6bd4\u8f03\u660e\u986f\u7684\u4f4e\u4f4d\u7684\u8a71\uff0c\u9ad8\u4f4d\u8868\u73fe\u51fa\u4f86\u7684\u300c\u4e82\u5ea6\u300d\u6703\u7a0d\u5fae\u597d\u4e00\u9ede\u3002<\/p>\n\n\n\n \u7e7c\u7e8c\u4e0a\u9762\u7684\u4f8b\u5b50\uff1a\u5982\u679c\u628a\u4e0a\u9762\u5e8f\u5217\u7684\u500b\u4f4d\u4e1f\u6389\uff0c\u4ee5\u5341\u4f4d\u4f5c\u70ba\u7522\u751f\u7684\u4e82\u6578\uff0c\u5247 100 \u500b\u6578\u5faa\u74b0\u7684\u5e8f\u5217\u6703\u662f\u9019\u6a23\u5b50\u7684\uff1a \u9019\u500b\u300c\u53d6\u9ad8\u4f4d\u300d\u548c\u300c\u53d6\u4f4e\u4f4d\u300d\u7684\u5dee\u5225\uff0c\u5176\u5be6\u6b63\u662f\u4e00\u4e9b\u4f7f\u7528 LCG \u7684\u4e82\u6578\u6f14\u7b97\u6cd5\u8868\u73fe\u4e0d\u4f73\u7684\u539f\u56e0\u3002\u6216\u8a31\u6709\u4eba\u807d\u8aaa\u904e\uff1a\u53d6\u67d0\u500b\u5c0f\u7bc4\u570d\u7684\u4e82\u6578\u6642\u4e0d\u8981\u628a\u7cfb\u7d71\u7d66\u7684\u4e82\u6578\u9664\u4ee5\u7bc4\u570d\u53d6\u9918\uff0c\u800c\u662f\u5148\u9664\u4ee5\u51fa\u503c\u7bc4\u570d\u8b8a\u6210 \\([0,1)\\) \u518d\u4e58\u4ee5\u6240\u8981\u7684\u5c0f\u7bc4\u570d\uff0c\u5176\u7406\u7531\u5c31\u662f\u9019\u500b\uff1a\u9664\u4ee5\u7bc4\u570d\u53d6\u9918\u7b49\u540c\u65bc\u53d6\u4e86\u4e82\u6578\u51fa\u503c\u7684\u300c\u4f4e\u4f4d\u300d(\u4f8b\u5982\u4e0a\u9762\u7684\u4f8b\u5b50\u4e2d\u9664\u4ee5 10 \u53d6\u9918\u5373\u662f\u53d6\u500b\u4f4d)\uff0c\u800c\u5148\u9664\u4ee5\u51fa\u503c\u7bc4\u570d\u5247\u76f8\u7576\u65bc\u53d6\u4e82\u6578\u51fa\u503c\u7684\u300c\u9ad8\u4f4d\u300d(\u4f8b\u5982\u4e0a\u9762\u4f8b\u5b50\u4e2d\u9664\u4ee5 100 \u5f8c\u4e58\u4ee5 10 \u518d\u53d6\u6574\u5373\u662f\u53d6\u5341\u4f4d)\u3002<\/p>\n\n\n\n \u4e0d\u904e\u5982\u679c\u7528\u7684\u662f\u6bd4\u8f03\u8fd1\u4ee3\u4e00\u9ede\u7684\u7cfb\u7d71\uff0c\u90a3\u9019\u500b\u9ad8\u4f4e\u4f4d\u7684\u5dee\u5225\u5176\u5be6\u5df2\u7d93\u4e0d\u5927\u4e86\u3002\u9019\u662f\u56e0\u70ba\uff0c\u73fe\u5728\u9084\u7559\u5b58\u7684\u4f7f\u7528 LCG \u7684\u5be6\u4f5c\uff0c\u5e7e\u4e4e\u90fd\u6703\u6709\u6bd4\u8f03\u5927\u4e00\u9ede\u7684\u5167\u90e8\u7a2e\u5b50\u9577\u5ea6\uff0c\u51fa\u503c\u6642\u518d\u628a\u4f4e\u4f4d\u7d66\u4e1f\u6389\uff1b\u4e5f\u5c31\u662f\u5176\u5be6\u51fd\u5f0f\u5eab\u5df2\u7d93\u5148\u5e6b\u4f60\u300c\u53d6\u9ad8\u4f4d\u300d\u4e86\u3002\u4f8b\u5982\u300aMinecraft\u300b\u6240\u4f7f\u7528\u7684 \u65e2\u7136\u63d0\u5230\u4e86\u300aMinecraft\u300b\uff0c\u5c31\u4f86\u63d0\u4e00\u4e0b\u6700\u958b\u982d\u63d0\u5230\u7684\u90a3\u500b\u767c\u73fe\u597d\u4e86\u3002\u9019\u4e5f\u662f LCG \u6709\u7684\u53e6\u5916\u4e00\u500b\u5f31\u9ede\u7684\u5c55\u73fe\uff1a\u5c0d\u65bc\u76f8\u8fd1\u7684\u7a2e\u5b50\u6578\uff0c\u5176\u5f8c\u6578\u500b\u51fa\u503c\u4e4b\u9593\u6709\u5f88\u5f37\u7684\u95dc\u9023\u6027\u3002\u9019\u4e00\u9ede\u5f9e LCG \u7684\u516c\u5f0f\u88e1\u5c31\u53ef\u4ee5\u770b\u5f97\u51fa\u4f86\u4e86\uff1a\u5dee 1 \u7684\u7a2e\u5b50\u6578\u5f97\u5230\u7684\u4e0b\u4e00\u500b\u4e82\u6578\u53ea\u5dee \\(a\\)\uff0c\u800c\u9019\u662f\u500b\u5df2\u77e5\u503c\u3002<\/p>\n\n\n\n \u5c0d\u65bc\u5df2\u77e5\u5dee\u8ddd\u7684\u5169\u500b\u7a2e\u5b50\uff0c\u53ea\u8981\u6211\u5011\u6709\u8fa6\u6cd5\u5f97\u5230\u5169\u8005\u4e4b\u4e00\u7684\u51fa\u503c\u3001\u6216\u662f\u7531\u9019\u500b\u51fa\u503c\u5c0e\u51fa\u7684\u5c0f\u7bc4\u570d\u503c (\u4e0d\u8ad6\u5b83\u53d6\u4e86\u9ad8\u4f4d\u6216\u4f4e\u4f4d)\uff0c\u90a3\u5c31\u80fd\u5927\u81f4\u4e0a\u63a8\u7b97\u53e6\u4e00\u500b\u4e82\u6578\u503c\u6216\u4ee5\u540c\u6a23\u65b9\u6cd5\u5c0e\u51fa\u7684\u5c0f\u7bc4\u570d\u503c\u3002\u7e7c\u7e8c\u4e0a\u9762\u7684\u7bc4\u4f8b\uff0c\u82e5\u4ee5 9 \u70ba\u7a2e\u5b50\uff0c\u4e0b\u4e00\u500b\u4e82\u6578\u662f 86\uff0c\u53d6\u500b\u4f4d\u7684\u8a71\u5f97\u53d6\u503c\u662f 6\uff1b\u5dee 1 \u7684\u7a2e\u5b50\u4e82\u6578\u51fa\u503c\u6703\u5dee 41\uff0c\u6240\u4ee5\u53ef\u4ee5\u7c21\u55ae\u63a8\u7b97\u51fa\u82e5\u4ee5 10 \u70ba\u7a2e\u5b50\uff0c\u4e0b\u4e00\u500b\u4e82\u6578\u53d6\u500b\u4f4d\u6703\u662f 7\uff1a\u5be6\u969b\u4e0a\u7684\u51fa\u503c\u662f 27\uff0c\u500b\u4f4d\u78ba\u5be6\u662f 7\u3002<\/p>\n\n\n\n \u9019\u500b\u95dc\u9023\u6027\u751a\u81f3\u4e0d\u9650\u65bc\u4e0b\u4e00\u500b\u51fa\u503c\uff0c\u800c\u662f\u5f8c\u7e8c\u7684\u6240\u6709\u51fa\u503c\u90fd\u6709\u4e00\u6a23\u7684\u95dc\u9023\uff1a\u4e0b\u5169\u500b\u51fa\u503c\u6703\u5dee \\(a^2\\)\uff0c\u4e0b\u4e09\u500b\u6703\u5dee \\(a^3\\)\uff0c\u7b49\u7b49\u3002\u300aMinecraft\u300b\u7684\u72c0\u6cc1\u662f\uff0c\u70ba\u4e86\u751f\u6210\u5169\u9805\u7279\u6027\u6240\u4f7f\u7528\u7684\u5c0e\u51fa\u7a2e\u5b50\u78bc\u6578\u503c\u5f88\u63a5\u8fd1 (\u662f\u67d0\u500b\u548c\u4e16\u754c\u7a2e\u5b50\u53ca chunk \u5ea7\u6a19\u6709\u95dc\u7684\u51fd\u6578\u52a0\u4e0a\u5169\u500b\u5f88\u63a5\u8fd1\u7684\u5e38\u6578)\uff0c\u56e0\u6b64\u6211\u5011\u53ef\u4ee5\u85c9\u7531\u5176\u4e2d\u4e00\u500b\u4e82\u6578\u6c7a\u5b9a\u7684\u4e00\u9805\u7279\u6027\u7684\u6c34\u5e73\u4f4d\u7f6e\u5ea7\u6a19 (\u982d\u5169\u500b\u4e82\u6578\u51fa\u503c)\uff0c\u63a8\u7b97\u51fa\u53e6\u4e00\u500b\u4e82\u6578\u6c7a\u5b9a\u7684\u53e6\u4e00\u9805\u7279\u6027\u7684\u6c34\u5e73\u5ea7\u6a19\u3002<\/p>\n\n\n\n \u7531\u65bc \u9019\u9084\u53ea\u662f\u4e00\u500b\u6bd4\u8f03\u7c21\u55ae\u7684\u63a8\u7b97\u65b9\u5f0f\uff0c\u5982\u679c\u8981\u6df1\u7a76\u7684\u8a71\u6709\u5f88\u591a\u6578\u5b78\u95dc\u4fc2\u53ef\u4ee5\u4e00\u62c9\u62c9\u4e00\u4e32\u51fa\u4f86\u7684\u3002\u4e00\u500b\u7a0d\u5fae\u9032\u968e\u4e00\u9ede\u7684\u4f8b\u5b50\u662f Spectral Test<\/a>\uff0c\u5b83\u5c07\u9023\u7e8c\u6578\u500b\u51fa\u503c\u7576\u505a\u4e00\u7d44\uff0c\u89c0\u5bdf\u5b83\u5728\u51fa\u503c\u7a7a\u9593\u4e2d\u5f62\u6210\u7684\u8d85\u5e73\u9762\u4f86\u8a55\u4f30\u5f37\u5ea6\uff1b\u80fd\u5920\u9019\u6a23\u627e\u7684\u539f\u56e0\u6b63\u662f LCG \u4e82\u6578\u9023\u7e8c\u51fa\u503c\u4e4b\u9593\u4e5f\u6709\u5f88\u5f37\u7684\u95dc\u9023\u6027\u3002\u56e0\u6b64\u5728\u4e00\u4e9b\u9019\u7a2e\u63a8\u7b97\u6703\u9020\u6210\u5f31\u9ede\u7684\u61c9\u7528\u4e0a (\u4f8b\u5982\u5bc6\u78bc\u5b78)\uff0c\u6240\u8981\u4f7f\u7528\u7684\u4e82\u6578\u90fd\u4e0d\u6703\u662f\u9019\u7a2e\u7c21\u55ae\u7684\u6f14\u7b97\u6cd5\uff0c\u800c\u662f\u6703\u7d93\u904e\u66f4\u591a\u8907\u96dc\u904b\u7b97\u8b93\u8f38\u51fa\u7684\u4f4d\u5143\u7d44\u4e4b\u9593\u7684\u95dc\u4fc2\u5e7e\u4e4e\u88ab\u6253\u6563\u958b\u4f86\u7684\u507d\u4e82\u6578\u6f14\u7b97\u6cd5\u3002\u4e0d\u904e\u9019\u88e1\u5728\u8ac7\u7684\u662f\u904a\u6232\u4e0a\u7684\u61c9\u7528\uff0c\u662f\u6c92\u6709\u5fc5\u8981\u52d5\u5230\u9019\u628a\u725b\u5200\u7684\uff0c\u5c31\u5728\u9019\u88e1\u7c21\u55ae\u5e36\u904e\u3002<\/p>\n\n\n\n 2021\/10\/14 \u88dc\u5145\uff1aMinecraft 1.18 \u5c07\u6703\u4f7f\u7528\u65b0\u7684\u4e82\u6578\u751f\u6210\u6f14\u7b97\u6cd5 xoroshiro128++<\/a>\uff0c\u662f\u4e0d\u5c6c\u65bc LCG \u5f62\u5f0f\u7684\u4e82\u6578\u7522\u751f\u5668\uff0c\u56e0\u6b64\u9019\u4e9b\u63a8\u7b97\u65b9\u5f0f\u7121\u6cd5\u9069\u7528\u5230\u65b0\u7684\u6f14\u7b97\u6cd5\u4e0a\uff1b\u4e0d\u904e xoroshiro128++ \u6709\u5b83\u81ea\u5df1\u7684\u5f31\u9ede\u5728\uff0c\u4f46\u662f\u5426\u80fd\u6709\u985e\u4f3c\u7684\u63a8\u7b97\u65b9\u5f0f\u5c31\u9700\u8981\u9032\u4e00\u6b65\u7814\u7a76\u4e86\u3002<\/p>\n\n\n\n 2023\/5\/20 \u88dc\u5145\uff1aMinecraft 1.20 \u5c07\u6389\u843d\u7269\u4e5f\u7d81\u5b9a\u7a2e\u5b50\uff0c\u800c\u6709\u4eba\u5229\u7528\u4e86 xoroshiro128++ \u6578\u5b78\u5f62\u5f0f\u4e0a\u7684\u5f31\u9ede\u9032\u884c\u4e86\u4e00\u7cfb\u5217\u7684\u6389\u843d\u7269\u9810\u6e2c\u300c\u653b\u64ca\u300d\u3002\u610f\u5916\u7684\u662f\uff0c\u9019\u6b21\u986f\u793a\u51fa\u4f86\u7684\u5f31\u9ede\u548c\u4e0a\u9762\u6211\u6240\u89e3\u8aaa\u7684\u4f7f\u7528 \u8aaa\u5230\u4e0d\u540c\u7684\u6f14\u7b97\u6cd5\uff0c\u4e0a\u9762\u63d0\u7684\u90fd\u662f 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625000\uff0c\u7136\u5f8c\u5c31\u5361\u5728\u9019\u500b\u6578\u4e86<\/strong>\u3002\u66f4\u53ef\u6015\u7684\u662f\uff0c\u5982\u679c\u4f60\u5c0d\u5168\u90e8\u4e00\u767e\u842c\u500b\u7a2e\u5b50\u90fd\u4e1f\u4e0b\u53bb\u8dd1\uff0c\u6703\u767c\u73fe\u6240\u6709\u6578\u5728\u8db3\u5920\u591a\u6b21\u4e82\u6578\u4e4b\u5f8c\u90fd\u6703\u6389\u9032\u4ee5\u4e0b 17 \u500b\u8ff4\u5708\u4e4b\u4e00\u7576\u4e2d\uff1a<\/p>\n\n\n\n <\/p>\n<\/div>\n\n\n\n <\/p>\n<\/div>\n<\/div>\n\n\n\n \u4e00\u767e\u842c\u500b\u6578\u90fd\u6703\u6389\u9032\u9019 475 \u500b\u6578\u7576\u4e2d\uff0c\u5176\u4e2d\u6709\u8d85\u904e\u4e09\u5341\u842c\u500b\u6578<\/strong>\u6703\u6389\u9032 1834 \u958b\u59cb\u7684\u9019\u500b\u9577\u9054 210 \u500b\u6578\u7684\u8ff4\u5708\uff0c\u800c\u5728\u8ff4\u5708\u5916\u5f85\u6700\u4e45\u7684\u662f 229339\uff0c\u537b\u4e5f\u53ea\u7528\u4e86 923 \u6b65\u5c31\u9032\u5165 16000 \u8ff4\u5708\u4e8c\u5341\u500b\u6578\u7576\u4e2d\u7684 736000\u3002\u9019\u986f\u7136\u662f\u500b\u9023\u666e\u901a\u90fd\u7b97\u4e0d\u4e0a\u7684\u507d\u96a8\u6a5f\u4e82\u6578\uff0d\uff0d\u800c\u9020\u6210\u9019\u500b\u73fe\u8c61\u7684\u7406\u7531\u50c5\u50c5\u662f\u516c\u5f0f\u88e1\u7528\u4e86\u4e00\u500b\u5e73\u65b9\u800c\u5df2\u3002<\/p>\n\n\n\n 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\u8aaa\u5230\u9019\u88e1\uff0c\u6709\u4e9b\u4eba\u53ef\u80fd\u6703\u6709\u4e00\u4e9b\u65e2\u8996\u611f\u51fa\u73fe\u4e86\uff1a\u6700\u4e00\u958b\u59cb\u63d0\u5230\u7684\u300a\u9b54\u7269\u7375\u4eba \u5d1b\u8d77\u300b\u7576\u4e2d\u51fa\u73fe\u7684 bug\uff0c\u770b\u8d77\u4f86\u5f88\u50cf\u662f\u4e0a\u9762\u9019\u7a2e\u8dd1\u4e00\u8dd1\u6700\u5f8c\u6389\u9032\u4e00\u500b\u77ed\u8ff4\u5708\u88e1\u7684\u73fe\u8c61\uff1b\u800c\u5c31\u5728\u9019\u7bc7\u6587\u7ae0\u767c\u8868\u524d\u4e0d\u4e45\uff0c\u53c8\u6709\u9032\u4e00\u6b65\u7684\u7814\u7a76\u6307\u51fa\u4e8b\u5be6\u4e0a\u6709\u7684\u6642\u5019\u662f\u6703\u6389\u9032\u4e00\u500b\u5f88\u5927\u7684\u8ff4\u5708\u7576\u4e2d\u7684 (\u5176\u4e2d\u4e00\u500b\u6bd4\u8f03\u6709\u540d\u7684\u8ff4\u5708\u751a\u81f3\u9577\u9054 2647 \u500b\u8b77\u77f3<\/a>)\uff0c\u53c8\u8ddf\u4e0a\u9762\u90a3\u500b 210 \u500b\u6578\u7684\u8ff4\u5708\u53ef\u4ee5\u76f8\u985e\u6bd4\u3002\u6211\u624b\u4e0a\u6c92\u6709 Switch\uff0c\u6240\u4ee5\u6211\u9023\u5be6\u969b\u904a\u6232\u90fd\u6c92\u6709\u78b0\u904e\uff0c\u66f4\u4e0d\u53ef\u80fd\u77e5\u9053\u5be6\u969b\u7a0b\u5f0f\u78bc\uff0c\u4f46\u9019\u6a23\u7684\u73fe\u8c61\u548c\u5e73\u65b9\u53d6\u4e2d\u4e82\u6578\u6709\u9019\u9ebc\u985e\u4f3c\u7684\u6027\u8cea\uff0c\u5f88\u96e3\u4e0d\u61f7\u7591\u9019\u904a\u6232\u4f7f\u7528\u7684\u507d\u96a8\u6a5f\u4e82\u6578\u662f\u4e0d\u662f\u56e0\u70ba\u516c\u5f0f\u4e0d\u77e5\u70ba\u4f55\u51fa\u73fe\u4e86\u7a2e\u5b50\u6578\u7684\u5e73\u65b9\u6216\u9ad8\u6b21\u65b9\u624d\u6703\u6709\u9019\u7a2e\u72c0\u6cc1\u51fa\u73fe\u30023<\/a><\/sup><\/p>\n\n\n\n \u597d\u5728\u6211\u5011\u73fe\u5728\u6709\u4e86\u9664\u4e86 LCG \u4e4b\u5916\u4e0d\u932f\u7684\u9078\u64c7\u4e86\uff1a\u8fd1\u4ee3\u5e38\u898b\u7684\u507d\u96a8\u6a5f\u4e82\u6578\u6f14\u7b97\u6cd5\u6709\u4e0d\u5c11\u662f\u57fa\u65bc\u7dda\u6027\u53cd\u994b\u79fb\u4f4d\u66ab\u5b58\u5668 (LFSR) \u5b9a\u7fa9\u7684\uff0c\u4f8b\u5982 Mersenne Twister<\/a>\u3001XorShift<\/a>4<\/a><\/sup>\u3001WELL <\/a>\u7b49\uff0c\u5be6\u4f5c\u4e0d\u6703\u6bd4 LCG \u8907\u96dc\u592a\u591a\uff0c\u53c8\u80fd\u6709\u6bd4 LCG \u66f4\u597d\u7684\u6027\u8cea (\u4f8b\u5982\u6975\u9577\u9031\u671f\u3001\u591a\u7dad\u5747\u7b49\u5206\u5e03\u7b49\u6027\u8cea)\uff0c\u56e0\u6b64\u5728\u4e0d\u5c11\u5730\u65b9\u90fd\u6162\u6162\u51fa\u73fe\u66f4\u591a\u9019\u4e9b\u6f14\u7b97\u6cd5\u7684\u4f7f\u7528\u4e86\u3002<\/p>\n\n\n\n \u4e0a\u9762\u6211\u63d0\u5230\u6709\u500b\u8aaa\u6cd5\u8aaa\u53d6\u5c0f\u7bc4\u570d\u7684\u4e82\u6578\u6642\u4e0d\u8981\u62ff\u51fa\u503c\u76f4\u63a5\u9664\u4ee5\u90a3\u500b\u7bc4\u570d\u53d6\u9918\uff0c\u6709\u4e9b\u4eba\u53ef\u80fd\u807d\u904e\u53e6\u4e00\u500b\u7406\u7531\u662f\uff1a\u9019\u6a23\u53d6\u51fa\u4f86\u7684\u7bc4\u570d\u6703\u4e0d\u5e73\u5747\uff0c\u6709\u4e9b\u503c\u6703\u6bd4\u5176\u4ed6\u503c\u591a\u4e00\u6b21\u3002\u9019\u500b\u7406\u7531\u662f\u771f\u7684\uff1a\u4ee5\u4e0a\u9762\u7684 0~99 \u7684\u4e82\u6578\u70ba\u4f8b\uff0c\u5982\u679c\u9664\u4ee5 3 \u53d6\u9918\u6578\u7684\u8a71\uff0c\u5728\u9019 100 \u6b21\u7576\u4e2d 0 \u6703\u51fa\u73fe 34 \u6b21\uff0c1 \u548c 2 \u5247\u53ea\u6703\u51fa\u73fe 33 \u6b21\uff0c\u9019\u6a23\u4e26\u4e0d\u662f\u5747\u52fb\u4e82\u6578\u3002\u4f46\u662f\uff0c\u5982\u679c\u6301\u9019\u500b\u7406\u7531\u8aaa\u8981\u5148\u8b8a\u6210 \\([0,1)\\) \u518d\u4e58\u624d\u662f\u5c0d\u7684\u7684\u8a71\uff0c\u90a3\u5c31\u4e0d\u5c0d\u4e86<\/strong>\u3002\u4e0d\u7ba1\u662f\u600e\u9ebc\u53d6\uff0c\u53ea\u8981\u55ae\u53d6\u9019\u4e00\u6b21\u4e26\u9032\u884c\u4efb\u4f55\u6578\u5b78\u8f49\u63db\uff0c\u4f60\u5c31\u662f\u5728\u628a\u9019 100 \u500b\u51fa\u503c\u585e\u9032 3 \u500b\u7bb1\u5b50\u88e1\uff0c\u4e0d\u7ba1\u4f60\u600e\u9ebc\u5206\u4e00\u5b9a\u4e0d\u6703\u5e73\u5747\u3002<\/p>\n\n\n\n \u90a3\u8981\u600e\u9ebc\u8fa6\uff1f\u9019\u5176\u5be6\u4e26\u4e0d\u9700\u8981\u5230\u96fb\u8166\u4e16\u754c\u624d\u6709\u7b54\u6848\u3002\u5728\u300c\u4e82\u6578\u300d\u9019\u56de\u4e8b\u4ecd\u7136\u9700\u8981\u4e00\u5f35\u5f88\u5927\u7684\u4e82\u6578\u8868\u4f86\u67e5\u7684\u6642\u5019\uff0c\u5c31\u5df2\u7d93\u6709\u4e86\u61c9\u5c0d\u9019\u7a2e\u8f49\u63db\u7684\u6307\u793a\uff1a\u300c\u53d6\u51fa\u6240\u9700\u8981\u7684\u4f4d\u6578\u4e4b\u5f8c\uff0c\u5982\u679c\u5f97\u5230\u7684\u503c\u8d85\u904e\u6240\u8981\u7684\u7bc4\u570d\uff0c\u5c31\u4e1f\u6389\u9019\u500b\u4e82\u6578\u91cd\u53d6\u4e00\u500b\u3002\u300d\u9019\u5176\u5be6\u624d\u662f\u6211\u5011\u8a72\u505a\u7684\uff1a\u628a\u4e0d\u5e73\u5747\u7684\u6bd4\u4f8b\u7d66\u4e1f\u6389\u91cd\u65b0\u53d6\u4e00\u500b\u65b0\u7684\u3002\u73fe\u5728\u6211\u5011\u6709\u96fb\u8166\u7a0b\u5f0f\u904b\u7b97\uff0c\u9019\u500b\u6307\u793a\u6211\u5011\u5176\u5be6\u80fd\u505a\u5f97\u66f4\u597d\uff1a\u6211\u5011\u628a\u6240\u8981\u7684\u7bc4\u570d\u91cd\u8986\u5230\u51fa\u503c\u7bc4\u570d\uff0c\u5728\u9019\u4e4b\u5916\u96f6\u6563\u7684\u624d\u4e1f\u6389\u3002\u5728\u4e82\u6578\u8868\u4e0a\u8981\u53d6 0 \u5230 2\uff0c\u6211\u5011\u6703\u4e1f\u6389 3 \u5230 9\uff1b\u4f46\u5176\u5be6\u6211\u5011\u80fd\u53ea\u4e1f\u6389 9\uff0c\u628a 3~5 \u548c 6~8 \u4e5f\u5c0d\u61c9\u5230 0~2\uff0c\u9019\u6a23\u5f97\u5230\u7684\u4e82\u6578\u4e5f\u662f\u5747\u52fb\u7684\u3002<\/p>\n\n\n\n \u9019\u5176\u5be6\u662f\u500b\u66f4\u5927\u4e00\u90e8\u4efd\u7684\u4e82\u6578\u61c9\u7528\u6700\u5e38\u51fa\u73fe\u7684\u554f\u984c\uff1a\u5728\u4e0d\u540c\u7684\u96e2\u6563\u5206\u5e03\u4e4b\u9593\u9032\u884c\u8f49\u63db\u6642\uff0c\u4f7f\u7528\u4e86\u932f\u8aa4\u7684\u65b9\u5f0f\u9032\u884c\u8f49\u63db\uff0c\u4f7f\u5f97\u8f49\u63db\u6210\u7684\u5206\u5e03\u548c\u6240\u60f3\u8981\u7684\u5206\u5e03\u51fa\u73fe\u5dee\u8ddd\u3002\u6700\u5e38\u898b\u7684\u4f8b\u5b50\u662f\u5f88\u591a\u4eba\u5b78\u7a0b\u5f0f\u5b78\u5230\u4e82\u6578\u6642\u6703\u505a\u7684\u7fd2\u984c\uff1a\u5c07\u4e00\u526f 52 \u5f35\u7684\u64b2\u514b\u724c\u6d17\u4e82\u3002\u521d\u5b78\u7684\u4eba\u5f88\u5bb9\u6613\u5c31\u6703\u5beb\u51fa\u50cf\u4e0b\u9762\u9019\u6a23\u7684\u7a0b\u5f0f\u78bc\uff1a<\/p>\n\n\n\n \u7c21\u800c\u8a00\u4e4b\uff0c\u6bcf\u6b21\u90fd\u96a8\u6a5f\u627e\u5169\u5f35\u724c\u5c0d\u8abf\uff0c\u9019\u6a23\u505a\u5920\u591a\u6b21\u4e4b\u5f8c\u5c31\u6d17\u4e82\u4e86\u30025<\/a><\/sup>\u6578\u5b78\u4e0a\u4f86\u8aaa\uff0c\u5982\u679c\u4f60\u7684\u4ea4\u63db\u80fd\u505a\u7121\u9650\u591a\u6b21\uff0c\u90a3\u5728\u6975\u9650\u72c0\u6cc1\u4e0b\u78ba\u5be6\u662f\u80fd\u5920\u5747\u52fb\u5730\u628a\u6240\u6709\u724c\u6d17\u4e82\u6c92\u932f\uff0d\uff0d\u4f46\u662f\uff0c\u7a0b\u5f0f\u4e0d\u80fd\u57f7\u884c\u7121\u9650\u591a\u6b21\uff0c\u800c\u55ae\u55ae\u6709\u9650\u6b21\u6578\u9019\u4ef6\u4e8b\u5c31\u6703\u548c\u6975\u9650\u72c0\u6cc1\u4e4b\u9593\u6709\u500b\u5c0f\u5dee\u8ddd\u5b58\u5728\uff0c\u4ea4\u63db\u6b21\u6578\u8d8a\u5c11\u9019\u500b\u5dee\u8ddd\u5c31\u8d8a\u660e\u986f\u3002<\/p>\n\n\n\n \u6b63\u78ba\u7684\u6d17\u724c\u65b9\u5f0f\u662f\u4f7f\u7528 Knuth Shuffle (\u53c8\u7a31 Fisher-Yates Shuffle<\/a>)6<\/a><\/sup>\uff1a<\/p>\n\n\n\n \u9019\u6a23\u5c31\u80fd\u5920\u5728\u6709\u9650\u6b65\u9a5f\u7576\u4e2d\u5747\u52fb\u5730\u628a\u4e00\u526f 52 \u5f35\u724c\u7d66\u6d17\u6df7\u4e86\u3002\u8a73\u7d30\u6f14\u7b97\u6cd5\u7684\u89e3\u91cb\u53ef\u4ee5\u53c3\u7167\u4e0a\u9762\u9023\u7d50\u7684\u7dad\u57fa\u767e\u79d1\uff0c\u9019\u88e1\u5c31\u4e0d\u591a\u63d0\u4e86\u3002<\/p>\n\n\n\n \u4e5f\u5c31\u662f\u8aaa\uff0c\u6709\u7684\u6642\u5019\u4e82\u6578\u4e0d\u4e82\u662f\u56e0\u70ba\u61c9\u7528\u6642\u7684\u6f14\u7b97\u6cd5\u4e0d\u6b63\u78ba\u9020\u6210\u7d50\u679c\u7684\u6a5f\u7387\u4e0d\u5e73\u5747\u7684\u95dc\u4fc2\u3002\u9019\u4e00\u9ede\u5dee\u5225\u5728\u666e\u901a\u7684\u904a\u6232\u88e1\u53ef\u80fd\u9084\u4e0d\u662f\u90a3\u9ebc\u91cd\u8981\uff0c\u4f46\u5982\u679c\u662f\u535a\u5955\u985e\u7684\u904a\u6232\uff0c\u4e00\u9ede\u9ede\u7684\u6a5f\u7387\u4e0d\u5e73\u5747\u9577\u671f\u4e0b\u4f86\u90fd\u6703\u9020\u6210\u504f\u8aa4\uff0c\u9019\u5c31\u6703\u4f7f\u5f97\u9019\u4e9b\u904a\u6232\u7684\u516c\u6b63\u6027\u906d\u53d7\u8cea\u7591\u4e86\u3002\u4e00\u500b\u9019\u65b9\u9762\u6bd4\u8f03\u6709\u540d\u7684\u597d\u4f8b\u5b50\u662f\uff0c\u77e5\u540d\u7684\u7db2\u8def\u65e5\u672c\u9ebb\u5c07\u5c0d\u5c40\u7db2\u7ad9\u5929\u9cf3\uff0c\u628a\u4ed6\u5011\u6240\u4f7f\u7528\u7684\u724c\u5c71\u751f\u6210\u6f14\u7b97\u6cd5\u53ca\u6240\u4f7f\u7528\u7684\u4e82\u6578\u7a2e\u5b50\u7d66\u516c\u958b\uff0c\u8b93\u6240\u6709\u4eba\u53ef\u4ee5\u4f9d\u7167\u6240\u516c\u958b\u7684\u6f14\u7b97\u6cd5\u7a0b\u5f0f\u78bc (\u6b63\u662f Fisher-Yates \u6f14\u7b97\u6cd5) \u53ca\u4e82\u6578\u7a2e\u5b50\u6c42\u5f97\u5be6\u969b\u5c0d\u5c40\u6642\u6d17\u4e82\u7684\u724c\u5c71\uff0c\u518d\u548c\u516c\u958b\u7684\u724c\u8b5c\u8cc7\u6599\u9032\u884c\u4e92\u76f8\u5c0d\u7167\u9a57\u8b49\uff1b\u7576\u7136\u4e5f\u5c31\u6709\u8a31\u591a\u4eba\u4f9d\u7167\u4ed6\u5011\u6240\u63d0\u4f9b\u7684\u8cc7\u6599\u9032\u884c\u9a57\u8b49\u548c\u7814\u7a76\uff0c\u6240\u4ee5\u6211\u5011\u53ef\u4ee5\u6709\u5f88\u9ad8\u7684\u4fe1\u5fc3\u8aaa\uff0c\u5728\u9019\u500b\u7db2\u7ad9\u4e0a\u9762\u6253\u724c\u4e26\u4e0d\u6703\u767c\u751f\u7cfb\u7d71\u6545\u610f\u628a\u7279\u5b9a\u578b\u5f0f\u7684\u724c\u767c\u7d66\u67d0\u4e9b\u4eba\u4e4b\u985e\u7684\u554f\u984c\u3002<\/p>\n\n\n\n \u9019\u7bc7\u7684\u9577\u5ea6\u5df2\u7d93\u662f\u4e4b\u524d\u5beb\u7de8\u78bc\u6587\u7ae0\u7684\u5feb\u5169\u500d\u9577\u4e86\uff0c\u6240\u4ee5\u4e5f\u5beb\u4e86\u597d\u4e00\u9663\u5b50\u3002\u7d66\u4e00\u500b\u76f8\u5c0d\u6642\u9593\u7dda\u7684\u8a71\uff0c\u958b\u982d\u63d0\u5230\u7684\u9019\u5169\u4ef6\u65b0\u805e\u5c31\u662f\u8b93\u6211\u8d77\u5fc3\u60f3\u5beb\u9019\u4e00\u7bc7\u7684\u52d5\u6a5f\uff0c\u9019\u9084\u662f\u5728\u300a\u9b54\u7269\u7375\u4eba \u5d1b\u8d77\u300b\u7684 bug \u9084\u525b\u767c\u73fe\u516b\u9846\u77ed\u5faa\u74b0\u7684\u6642\u5019\uff1b\u800c\u5728\u6574\u7406\u9019\u4e9b\u6771\u897f\u7684\u6642\u5019\u53c8\u88ab\u6211\u807d\u8aaa\u4e86\u300c\u6703\u6389\u9032\u4e00\u500b\u5927\u5faa\u74b0\u300d\u7684\u767c\u73fe\uff0c\u6240\u4ee5\u539f\u672c\u53ea\u55ae\u7d14\u60f3\u8ac7 LCG \u548c\u5176\u5f8c\u7684\u6f14\u7b97\u6cd5\u4f7f\u7528\u7684\u786c\u662f\u52a0\u4e86\u4e00\u6bb5\u7c21\u55ae\u8ac7\u4e86\u4e0d\u597d\u7684\u4e82\u6578\u516c\u5f0f\u3002<\/p>\n\n\n\n \u5c0d\u9019\u65b9\u9762\u6709\u7814\u7a76\u7684\u4eba\u4e5f\u6703\u767c\u73fe\uff0c\u6211\u9019\u88e1\u5176\u5be6\u7701\u7565\u4e86\u5f88\u591a\u975e\u5e38\u7d30\u7684\u7d30\u7bc0 (\u4f8b\u5982\u88ab\u6211\u4e00\u7b46\u5e36\u904e\u7684\u7d71\u8a08\u6aa2\u5b9a\u3001\u548c\u6bd4\u8f03\u65b0\u4e00\u9ede\u7684 LFSR \u5f0f\u7522\u751f\u5668)\uff0c\u4e3b\u8981\u7126\u9ede\u5176\u5be6\u662f LCG \u985e\u578b\u4e82\u6578\u61c9\u7528\u5728\u904a\u6232\u4e0a\u7684\u72c0\u6cc1\uff1b\u4e5f\u56e0\u70ba\u6587\u7ae0\u771f\u7684\u5df2\u7d93\u5beb\u592a\u9577\u4e86\uff0c\u96d6\u7136\u5e36\u5230\u4e86\u535a\u5955\u985e\u904a\u6232\uff0c\u4f46\u537b\u523b\u610f\u6c92\u63d0\u4f8b\u5982\u8f49\u86cb\u7cfb\u7d71\u7b49\u984c\u6750 (\u6cc1\u4e14\u9019\u65b9\u9762\u6211\u9084\u771f\u7684\u6c92\u8cc7\u683c\u8ac7\uff0c\u9019\u65b9\u9762\u7684\u5be6\u4f5c\u6709\u5f88\u591a\u904a\u6232\u8a2d\u8a08\u4e0a\u7684\u9700\u6c42\u8981\u8003\u91cf\uff0c\u4e26\u4e0d\u662f\u76f4\u63a5\u62ff\u4e82\u6578\u96a8\u4fbf\u4e1f\u5c31\u53ef\u4ee5\u7684)\u3002<\/p>\n\n\n\n \u5728\u9019\u500b\u4eba\u4eba\u90fd\u6703\u5beb\u7a0b\u5f0f\u90fd\u60f3\u5beb\u904a\u6232\u7684\u6642\u4ee3\uff0c\u662f\u5426\u6b63\u78ba\u5730\u4f7f\u7528\u4e82\u6578\u53ef\u4ee5\u5f88\u5927\u7a0b\u5ea6\u5730\u5f71\u97ff\u904a\u6232\u9ad4\u9a57 (\u5c0d\uff0c\u6211\u5230\u7d50\u8a9e\u4e86\u9084\u662f\u5728\u97ad\u300a\u9b54\u7269\u7375\u4eba \u5d1b\u8d77\u300bXD)\uff1b\u4e0d\u904e\u5766\u767d\u8aaa\u9019\u5176\u5be6\u662f\u500b\u4e0d\u5bb9\u6613\u505a\u5c0d\u7684\u984c\u6750\uff0c\u56e0\u70ba\u505a\u5c0d\u4e86\u73a9\u5bb6\u5927\u591a\u4e0d\u6703\u6ce8\u610f\uff0c\u53ea\u6709\u505a\u932f\u4e86\u624d\u6703\u88ab\u6316\u51fa\u4f86\u8ac7\uff0c\u6240\u4ee5\u5e38\u5e38\u6642\u4e0d\u6642\u5c31\u6709\u540c\u6a23\u7684\u554f\u984c\u5728\u5404\u7a2e\u904a\u6232\u7576\u4e2d\u51fa\u73fe\u3002\u5e0c\u671b\u9019\u7bc7\u80fd\u5920\u7d66\u5927\u5bb6\u4e00\u500b\u7c21\u55ae\u7684\u8d77\u6b65\u3002<\/p>\n\n\n\n (\u8aaa\u8d77\u4f86\uff0c\u9019 blog \u7684\u526f\u6a19\u4e0a\u6709\u904a\u6232\u5169\u500b\u5b57\uff0c\u7d50\u679c\u537b\u662f\u5230\u4e86\u73fe\u5728\u624d\u6709\u7b2c\u4e00\u7bc7\u6709\u904a\u6232\u5206\u985e\u7684\u6587\u7ae0\u2026\u2026(\u6c57)<\/p>\n\n\n\n \u958b\u5834\u5148\u4e0a\u5169\u500b\u904a\u6232\u76f8\u95dc\u7684\u65b0\u805e\u3002 \u5176\u4e00\u61c9\u8a72\u6bd4\u8f03\u591a\u4eba\u77e5\u9053\uff1a\u6700\u8fd1\u65b0\u51fa\u7684\u300a\u9b54\u7269\u7375\u4eba \u5d1b\u8d77\u300b\u7576\u4e2d\uff0c\u7528\u4f86\u62bd\u9078\u934a\u91d1\u77f3\u7684\u3008\u934a\u91d1\u8853 […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"[{\"content\":\"\u82f1\u6587\u7dad\u57fa\u767e\u79d1\u4e0a\u5728\u9019\u88e1\u6709\u689d\u8a3b\u89e3\uff1a\u901a\u5e38\u5728\u6578\u5b78\u4e0a\u6703\u7a31\u6709 (+c) \u7684\u8b8a\u63db\u53eb\u505a\u300c\u4eff\u5c04\u8b8a\u63db\u300d\uff0c\u300c\u7dda\u6027\u8b8a\u63db\u300d\u55ae\u7d14\u53ea\u7a31\u4e58\u4e0a\u56fa\u5b9a\u503c\u7684\u8b8a\u63db\uff1b\u4f46\u5728\u96fb\u8166\u79d1\u5b78\u754c\u5df2\u7d93\u628a\u9019\u500b\u5f0f\u5b50\u53eb\u505a\u7dda\u6027\u53eb\u7fd2\u6163\u4e86\u6240\u4ee5\u5c31\u9019\u6a23\u7528\u4e86\u3002\",\"id\":\"6331d1e3-9f45-4b87-ada9-ec62adfe8bfe\"},{\"content\":\"\u9019\u88e1\u6211\u7565\u53bb\u4e86 LCG (\u7dda\u6027\u540c\u9918\u7522\u751f\u5668)<\/h2>\n\n\n\n
\n
0, 17, 14, 91, 48, 85, 2, 99, 76, 33, 70, 87, 84, 61, 18, 55, 72, 69, 46, 3, 40, 57, 54, 31, 88, 25, 42, 39, 16, 73, 10, 27, 24, 1, 58, 95, 12, 9, 86, 43, 80, 97, 94, 71, 28, 65, 82, 79, 56, 13, 50, 67, 64, 41, 98, 35, 52, 49, 26, 83, 20, 37, 34, 11, 68, 5, 22, 19, 96, 53, 90, 7, 4, 81, 38, 75, 92, 89, 66, 23, 60, 77, 74, 51, 8, 45, 62, 59, 36, 93, 30, 47, 44, 21, 78, 15, 32, 29, 6, 63
63 \u7684\u4e0b\u4e00\u500b\u56de\u5230 0\uff0c\u5c31\u958b\u59cb\u5faa\u74b0\u4e86\u3002\u53ef\u4ee5\u770b\u5230\u9019\u88e1 0~99 \u6bcf\u500b\u6578\u5b57\u90fd\u51fa\u73fe\u6070\u597d\u4e00\u6b21\u3002<\/p>\n\n\n\n\u53d6\u9ad8\u4f4d vs \u53d6\u4f4e\u4f4d<\/h2>\n\n\n\n
0, 1, 1, 9, 4, 8, 0, 9, 7, 3, 7, 8, 8, 6, 1, 5, 7, 6, 4, 0, 4, 5, 5, 3, 8, 2, 4, 3, 1, 7, 1, 2, 2, 0, 5, 9, 1, 0, 8, 4, 8, 9, 9, 7, 2, 6, 8, 7, 5, 1, 5, 6, 6, 4, 9, 3, 5, 4, 2, 8, 2, 3, 3, 1, 6, 0, 2, 1, 9, 5, 9, 0, 0, 8, 3, 7, 9, 8, 6, 2, 6, 7, 7, 5, 0, 4, 6, 5, 3, 9, 3, 4, 4, 2, 7, 1, 3, 2, 0, 6
\u9019\u500b\u5e8f\u5217\u96d6\u7136\u51fa\u503c\u53ea\u6709 0 \u5230 9\uff0c\u4f46\u81f3\u5c11\u770b\u8d77\u4f86\u662f\u6709\u4e82\u4e00\u9ede\u4e86\uff1b\u800c\u500b\u4f4d\u5247\u662f 0, 7, 4, 1, 8, 5, 2, 9, 6, 3 \u7684\u5faa\u74b0\uff0c\u986f\u7136\u4e26\u4e0d\u80fd\u7576\u505a\u597d\u7684\u4e82\u6578\u4f86\u7528\u3002<\/p>\n\n\n\njava.util.Random<\/code> \u7684\u5be6\u4f5c\uff0c\u5176\u53c3\u6578\u70ba \\(a=25214903917, c=11, m=2^{48}\\)\uff0c\u5167\u90e8\u7a2e\u5b50\u662f 48 \u4f4d\u5143\u7684\u6578\u5b57\uff0c\u4f46\u8f38\u51fa\u6642\u81f3\u5c11\u6368\u68c4\u4f4e 16 \u4f4d\u5143\uff1b\u9019\u6a23\u898f\u5b9a\u7684\u7406\u7531\u5c31\u5728\u9019\u88e1\u3002<\/p>\n\n\n\n\u300c\u63a8\u7b97\u300d\u4e82\u6578<\/h2>\n\n\n\n
java.util.Random<\/code> \u5728\u53d6\u503c\u6642\u6703\u5e6b\u4f60\u53d6\u9ad8\u4f4d\uff0c\u51fa\u503c\u5f88\u63a5\u8fd1\u4ee3\u8868\u53d6\u9ad8\u4f4d\u5f97\u5230\u7684\u6578\u503c\u4e5f\u6703\u63a5\u8fd1\u5230\u5e7e\u4e4e\u76f8\u540c\uff0c\u56e0\u6b64\u9019\u4ee3\u8868\u4e0b\u4e00\u500b\u51fa\u503c\u5e7e\u4e4e\u76f8\u540c\uff0c\u518d\u4e0b\u4e00\u500b\u51fa\u503c\u53ea\u6703\u6709\u5c11\u91cf\u5dee\u5225\u3002\u4e5f\u5c31\u662f\uff0c\u5169\u500b\u65b9\u5411\u7684\u5ea7\u6a19\u5176\u4e00\u6703\u5e7e\u4e4e\u76f8\u540c\uff0c\u53e6\u4e00\u6703\u6709\u500b\u53ef\u4ee5\u63a8\u7b97\u7684\u5dee\u503c\uff1b\u9019\u5c31\u662f\u90a3\u5247\u5f71\u7247\u6240\u4ecb\u7d39\u7684\u95dc\u4fc2\u7684\u80cc\u5f8c\u539f\u7406\u6240\u5728\u30022<\/a><\/sup>\u7b2c\u4e09\u500b\u4e82\u6578\u51fa\u503c\u5728\u5169\u9805\u7279\u6027\u4e0a\u7684\u7528\u9014\u4e0d\u540c (\u4e00\u908a\u662f\u578b\u614b\u7a2e\u985e\uff0c\u53e6\u4e00\u908a\u662f\u5782\u76f4\u5ea7\u6a19)\uff0c\u4f46\u56e0\u70ba\u4e5f\u6709\u9019\u7a2e\u63a8\u7b97\u95dc\u4fc2\uff0c\u6578\u503c\u4e0a\u7684\u504f\u79fb\u503c\u53ef\u4ee5\u8f49\u5316\u70ba\u5169\u8005\u4e4b\u9593\u7684 (\u534a) \u5c0d\u7167\u8868\uff0c\u4e00\u908a\u662f\u9019\u7a2e\u578b\u614b\u5247\u53e6\u4e00\u908a\u7684\u5782\u76f4\u5ea7\u6a19\u6703\u5728\u54ea\u500b\u7bc4\u570d\u9019\u500b\u6a23\u5b50\u3002<\/p>\n\n\n\njava.util.Random<\/code> \u6642\u7684\u5f31\u9ede\uff0c\u5176\u6838\u5fc3\u539f\u56e0\u7adf\u7136\u662f\u5f88\u63a5\u8fd1\u7684\uff1a\u90fd\u662f\u5169\u500b\u6709\u76f8\u95dc\u6027\u7684\u7a2e\u5b50\u7522\u751f\u7684\u4e82\u6578\u5e8f\u5217\u4e4b\u9593\u7684\u95dc\u806f\u6027\uff1b\u9019\u6b21\u56e0\u70ba xoroshiro128++ \u7684\u6578\u5b78\u5f62\u5f0f\u95dc\u4fc2\uff0c\u9084\u53ef\u4ee5\u9032\u884c\u6389\u843d\u7269\u95dc\u9023\u6027\u7d71\u8a08\uff0c\u67d0\u7a2e\u7a0b\u5ea6\u4e0a\u53ef\u4ee5\u985e\u6bd4\u524d\u9762\u63d0\u5230\u7684\u5169\u5718\u751f\u6210\u6027\u8cea\u7684\u95dc\u9023\u6027\u6027\u8cea\u3002\u8a73\u60c5\u5c31\u8acb\u770b\u9019\u5247\u5f71\u7247<\/a>\u5427\u3002<\/p>\n\n\n\n\u5e73\u65b9\u300c\u4e82\u6578\u300d<\/h2>\n\n\n\n
$$X_k=\\left\\lfloor\\frac{X_{k-1}^2}{10^{n\/2}}\\right\\rfloor \\mod 10^n$$
\u4f8b\u5982\u82e5\u53d6 \\(n=6\\) \u5247\u53ef\u80fd\u6703\u9019\u9ebc\u9032\u884c\uff1a
$$\\begin{array}{lll}
675,248&\\to675,248^2=455,959,861,504&\\Rightarrow959,861\\\\
&\\to959,861^2=921,333,139,321&\\Rightarrow333,139\\\\
&\\to\\cdots\\end{array}$$<\/p>\n\n\n\n\n
(56 \u500b\u6578)<\/li>\n\n\n\n
(210 \u500b\u6578)<\/li>\n\n\n\n
(105 \u500b\u6578)<\/li>\n\n\n\n
(20 \u500b\u6578)<\/li>\n\n\n\n
(13 \u500b\u6578)<\/li>\n<\/ul>\n\n\n\n\n
(20 \u500b\u6578)<\/li>\n\n\n\n
(29 \u500b\u6578)<\/li>\n\n\n\n
590051\u2192160182<\/li>\n\n\n\n\u4e82\u6578\u7684\u4f7f\u7528<\/h2>\n\n\n\n
for(int i = 0; i < 1000000; i++)\n{\n int x = randomInt(52);\n int y = randomInt(52);\n int temp = card[x];\n card[x] = card[y];\n card[y] = temp;\n}<\/pre>\n\n\n\nfor(int i = 0; i < 52; i++)\n{\n int r = randomInt(52 - i) + i;\n int temp = card[i];\n card[i] = card[r];\n card[r] = temp;\n}<\/pre>\n\n\n\n\u5c0f\u7d50<\/h2>\n\n\n\n
\u8a3b\u8173<\/h2>\n\n\n
java.util.Random<\/code> \u5728\u8a2d\u5b9a\u7a2e\u5b50\u6642\u6703\u5148\u505a\u4e00\u6b21 XOR \u7684\u64cd\u4f5c\uff0c\u56e0\u70ba\u53ea\u8981\u5176\u7d50\u679c\u4ecd\u7136\u53ea\u6709\u5c0f\u5dee\u8ddd\u90a3\u9019\u4e9b\u63a8\u8ad6\u5c31\u90fd\u4ecd\u7136\u6210\u7acb\u3002\u90a3\u5247\u5f71\u7247\u7684\u6700\u5f8c\u89e3\u91cb\u4e86\u9019\u500b XOR \u64cd\u4f5c\u6709\u6642\u6703\u9020\u6210\u9810\u6e2c\u5931\u6e96\uff0c\u9019\u88e1\u5c31\u8868\u904e\u4e0d\u63d0\u3002 \u21a9\ufe0e<\/a><\/li>java.util.Random<\/code> \u5728\u8a2d\u5b9a\u7a2e\u5b50\u6642\u6703\u5148\u505a\u4e00\u6b21 XOR \u7684\u64cd\u4f5c\uff0c\u56e0\u70ba\u53ea\u8981\u5176\u7d50\u679c\u4ecd\u7136\u53ea\u6709\u5c0f\u5dee\u8ddd\u90a3\u9019\u4e9b\u63a8\u8ad6\u5c31\u90fd\u4ecd\u7136\u6210\u7acb\u3002\u90a3\u5247\u5f71\u7247\u7684\u6700\u5f8c\u89e3\u91cb\u4e86\u9019\u500b XOR \u64cd\u4f5c\u6709\u6642\u6703\u9020\u6210\u9810\u6e2c\u5931\u6e96\uff0c\u9019\u88e1\u5c31\u8868\u904e\u4e0d\u63d0\u3002\",\"id\":\"e9e16fa8-81ce-4ef7-a3a2-810cf4f874cb\"},{\"content\":\"\u984c\u5916\u8a71\uff0c\u5e73\u65b9\u4e5f\u4e0d\u662f\u505a\u4e0d\u51fa\u597d\u4e82\u6578\u5594\uff1a\u6709\u500b\u540d\u70ba Blum Blum Shub<\/a> \u7684\u96a8\u6a5f\u4e82\u6578\u7522\u751f\u5668\u5373\u662f\u4ee5\u5e73\u65b9\u505a\u70ba\u57fa\u672c\u6f14\u7b97\u6cd5\uff0c\u4f46\u5c0d\u53c3\u6578\u505a\u4e86\u56b4\u683c\u9650\u5236\u4f7f\u5176\u64c1\u6709\u66f4\u597d\u7684\u6027\u8cea\uff0c\u751a\u81f3\u6709\u8457\u5bc6\u78bc\u5b78\u4e0a\u7684\u5f37\u5ea6\u5728\u3002\",\"id\":\"6b39e107-ef5c-4325-b457-33a0d1d31495\"},{\"content\":\"2021\/10\/14 \u88dc\u5145\uff1a\u4e0a\u9762\u88dc\u5145\u88e1\u63d0\u5230\u7684 xoroshiro128++ \u5c31\u662f xorshift \u7684\u6539\u9032\u7248 xoshiro \u7cfb\u5217\u6f14\u7b97\u6cd5\u4e4b\u4e00\uff0c\u52a0\u5165\u4e86\u4f4d\u5143\u65cb\u8f49\u7684\u64cd\u4f5c\uff0c\u4f46\u57fa\u5e95\u4ecd\u7136\u662f\u985e\u4f3c LFSR \u7684\u7d50\u69cb\u3002\",\"id\":\"a078dc66-dac8-4273-a9ee-4027d9f1801f\"},{\"content\":\"\u63d0\u4e00\u4ef6\u5c0f\u8da3\u4e8b\uff1a\u4e8c\u5341\u5e74\u524d\u7684\u6211\u521d\u5b78 C\/C++ \u7684\u6642\u5019\uff0c\u5b78\u5230\u4e82\u6578\u9019\u88e1\u6642\u5c31\u505a\u904e\u985e\u4f3c\u7684\u984c\u76ee\uff0c\u800c\u6211\u7576\u6642\u6b63\u662f\u5beb\u51fa\u4e86\u9019\u500b\u300c\u505a\u6cd5\u300dXD \u5728\u5b78\u4e86\u66f4\u591a\u6771\u897f\u4e4b\u5f8c\u624d\u77e5\u9053\u9019\u500b\u505a\u6cd5\u662f\u932f\u7684\u3002\",\"id\":\"b584264b-d99f-4565-b3f5-136ee4fb780d\"},{\"content\":\"\u6703\u53eb Knuth Shuffle \u7684\u539f\u56e0\u662f\u56e0\u70ba\uff0cKnuth \u9019\u4f4d\u5927\u795e\u5728\u4ed6\u7684\u9245\u4f5c\u300aThe Art of Computer Programming\u300b\u7576\u4e2d\u63a8\u5ee3\u4e86\u9019\u500b\u6f14\u7b97\u6cd5\u9069\u7528\u65bc\u96fb\u8166\u7a0b\u5f0f\u7684\u4fee\u6b63\u7248\u7684\u95dc\u4fc2\u3002\u6700\u521d\u7531 Fisher \u548c Yates \u5169\u500b\u6578\u5b78\u5bb6\u63d0\u51fa\u6642\uff0c\u9084\u662f\u4f7f\u7528\u7d19\u672c\u4e82\u6578\u8868\u7684\u5e74\u4ee3\uff0c\u6240\u4ee5\u4ed6\u5011\u63cf\u8ff0\u7684\u6b65\u9a5f\u5beb\u6210\u7a0b\u5f0f\u662f\u6709\u9ede\u4e0d\u90a3\u9ebc\u65b9\u4fbf\u7684\u3002\",\"id\":\"37c44add-d8b8-479f-b270-7425c557b163\"}]"},"categories":[3,4,9],"tags":[11,10,12],"class_list":["post-599","post","type-post","status-publish","format-standard","hentry","category-math","category-programming","category-game","tag-minecraft","tag-rng","tag-mhr"],"_links":{"self":[{"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=\/wp\/v2\/posts\/599","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=599"}],"version-history":[{"count":55,"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=\/wp\/v2\/posts\/599\/revisions"}],"predecessor-version":[{"id":1751,"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=\/wp\/v2\/posts\/599\/revisions\/1751"}],"wp:attachment":[{"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=599"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=599"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.cruciferslab.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=599"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}