{"id":1543,"date":"2017-09-05T20:02:06","date_gmt":"2017-09-05T11:02:06","guid":{"rendered":"https:\/\/cs-tklab.na-inet.jp\/?p=1543"},"modified":"2023-01-10T15:40:54","modified_gmt":"2023-01-10T06:40:54","slug":"%e6%a8%a1%e6%93%ac%e8%ac%9b%e7%be%a9-%e3%82%b3%e3%83%b3%e3%83%94%e3%83%a5%e3%83%bc%e3%82%bf%e3%81%ae%e8%a8%88%e7%ae%97%e3%81%af%e6%ad%a3%e3%81%97%e3%81%8f%e3%81%aa%e3%81%84%ef%bc%81","status":"publish","type":"post","link":"https:\/\/kd-tklab.na-inet.jp\/?p=1543","title":{"rendered":"[\u6a21\u64ec\u8b1b\u7fa9] \u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306e\u8a08\u7b97\u306f\u6b63\u3057\u304f\u306a\u3044\uff01"},"content":{"rendered":"

\u30aa\u30fc\u30d7\u30f3\u30ad\u30e3\u30f3\u30d1\u30b9\u6a21\u64ec\u8b1b\u7fa9<\/strong><\/p>\n

\u300c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306e\u8a08\u7b97\u306f\u6b63\u3057\u304f\u306a\u3044\uff01\u300d<\/h2>\n

\u9759\u5ca1\u7406\u5de5\u79d1\u5927\u5b66\u3000\u60c5\u5831\u5b66\u90e8
\n\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b7\u30b9\u30c6\u30e0\u5b66\u79d1
\n\u5e78\u8c37\u3000\u667a\u7d00\uff08\u3053\u3046\u3084\u3000\u3068\u3082\u306e\u308a\uff09<\/h3>\n

\"\"<\/a>
\n\uff11\uff0e\u300c\u6570\u300d\u3068\u306f\uff1f<\/strong><\/p>\n

\u3000\u73fe\u5728\u306eICT\u793e\u4f1a\u3067\u4f7f\u7528\u3055\u308c\u308b\u300c\u30c7\u30fc\u30bf(data)\u300d\u306f\u4f8b\u5916\u306a\u304f\u5168\u3066\u300c\u6570\u300d\u3092\u8868\u73fe\u3057\u305f\u3082\u306e\u3067\u3059\u3002\u5c0f\u5b66\u6821\u3067\u306f\u81ea\u7136\u6570\uff0c\u5206\u6570\uff08\u6709\u7406\u6570\uff09\uff0c\u5c0f\u6570\u3092\uff0c\u4e2d\u5b66\u6821\u3067\u306f\u8ca0\u306e\u6570\u3068\u6574\u6570\u3092\uff0c\u9ad8\u6821\u3067\u306f\u7121\u7406\u6570\u3092\u7fd2\u3044\u307e\u3059\u304c\uff0c\u305d\u308c\u3089\u306e\u6570\u3092\u7dcf\u79f0\u3057\u3066\u300c\u5b9f\u6570(real number)\u300d\u3068\u547c\u3073\u307e\u3059\u3002\u5b9f\u6570\u3092\u5e7e\u4f55\u5b66\u7684\u306b\u8868\u73fe\u3059\u308b\u6642\u306b\u306f\u76f4\u7dda\uff1d\u6570\u76f4\u7dda\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u5168\u3066\u306e\u6570\u306f\uff0c\u3053\u306e\u6570\u76f4\u7dda\u4e0a\u306e\u3069\u3053\u304b\u306b\u300c\u70b9(point)\u300d\u3068\u3057\u3066\u5b58\u5728\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u3000\u81ea\u7136\u6570\uff0c\u6574\u6570\uff0c\u6709\u7406\u6570\u306f\u5168\u3066\u5206\u6570\u3068\u3057\u3066\u8868\u73fe\u3067\u304d\u308b\u6570\u3067\u3059\u3002\u4e0b\u8a18\u306e\u56f3\u306b\u793a\u3059\u901a\u308a\uff0c\u5206\u6570\u306f\u7121\u6570\u306b\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u3000\u3061\u3087\u3063\u3068\u8131\u7dda\u3057\u307e\u3059\u304c\uff0c\u4e0b\u8a18\u306e\u3088\u3046\u306a\u554f\u984c\u306f\u3054\u5b58\u77e5\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n

\"\"<\/a><\/p>\n

\u3000\u89e3\u7b54\u306b\u3064\u3044\u3066\u306f\u691c\u7d22\u3057\u3066\u8abf\u3079\u3066\u9802\u3051\u308c\u3070\u4f55\u3089\u304b\u306e\u624b\u304b\u304c\u308a\u304c\u5f97\u3089\u308c\u308b\u3067\u3057\u3087\u3046\u304c\uff0c\u5b9f\u969b\u306e\u5206\u6570\u306e\u8a08\u7b97\u306f\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u306d\u3002\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u308b\u306e\u304b\uff0c\u3061\u3087\u3063\u3068\u8a66\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n

\u5206\u6570\u306e\u8a08\u7b97\u30d5\u30a9\u30fc\u30e0<\/a><\/p><\/blockquote>\n

\u3000\u5b9f\u6570\u306b\u306f\u3082\u3046\u4e00\u3064\uff0c\u5206\u6570\u3068\u3057\u3066\u306f\u8868\u73fe\u3067\u304d\u306a\u3044\u300c\u7121\u7406\u6570(irrational number)\u300d\u304c\u3042\u308a\u307e\u3059\u3002\u6709\u540d\u306a\u3082\u306e\u3068\u3057\u3066\u306f\u5186\u5468\u7387\"\pi\u3084\u5e73\u65b9\u6839\"\sqrt{2}\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3082\u5b9f\u6570\u306e\u4e00\u7a2e\u306a\u306e\u3067\uff0c\u6570\u76f4\u7dda\u4e0a\u306e\u70b9\u3068\u3057\u3066\u5b9f\u5728\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u3000\u6709\u7406\u6570(\u5206\u6570)\u3092\u5c0f\u6570\u3067\u8868\u73fe\u3059\u308b\u3068\uff0c\u6b21\u306e\u3088\u3046\u306b\u5fc5\u305a\u540c\u3058\u6570\u306e\u30d1\u30bf\u30fc\u30f3\u304c\u7e70\u308a\u8fd4\u3057\u51fa\u3066\u304d\u307e\u3059\u3002<\/p>\n

\\[\\begin{split}
\n\\frac{1}{2} &= 0.50000\\cdots = 0.5\\dot{0} \\\\
\n\\frac{1}{3} &= 0.33333\\cdots = 0.\\dot{3}
\n\\end{split}\\]<\/p>\n

\u3000\u7121\u7406\u6570\u3067\u306f\u540c\u3058\u30d1\u30bf\u30fc\u30f3\u306e\u6570\u306e\u7f85\u5217\u304c\u6c38\u4e45\u306b\u7d9a\u304f\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3061\u3087\u3063\u3068\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n

Try! MPFR<\/p><\/blockquote>\n

\u3000\u5f93\u3063\u3066\uff0c\u5b9f\u6570\u3092\u4e00\u8a00\u3067\u8868\u73fe\u3059\u308b\u3068\u300c\u5faa\u74b0\u3057\u305f\u308a\u3057\u306a\u304b\u3063\u305f\u308a\u3059\u308b\uff09\u7121\u9650\u6841\u306e\u5c0f\u6570\u3068\u3057\u3066\u8868\u308f\u3059\u3053\u3068\u306e\u3067\u304d\u308b\u6570\u300d\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u4f55\u6545\u7121\u9650\u6841\u304c\u5fc5\u8981\u306b\u306a\u308b\u306e\u304b\u306f\uff0c\u5fae\u5206\u7a4d\u5206\uff08\u6570\u5b66II, III)\u306b\u767b\u5834\u3059\u308b\u300c\u6975\u9650\u300d\u3068\u3044\u3046\u3082\u306e\u3068\u6df1\u3044\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u304c\uff0c\u305d\u308c\u306f\u5927\u5b66\u306b\u5165\u3063\u3066\u304b\u3089\u3058\u3063\u304f\u308a\u8003\u3048\u3066\u307f\u3066\u4e0b\u3055\u3044\u3002<\/p>\n

\u3000\u73fe\u5728\u306e\u79d1\u5b66\u6280\u8853\u3067\u306f\u5b9f\u6570\u3092\u571f\u53f0\u3068\u3059\u308b\u8a08\u7b97\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u305d\u3057\u3066\u307b\u3068\u3093\u3069\u306e\u8a08\u7b97\u306f\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u4e2d\u3067\u884c\u3044\u307e\u3059\u3002\u3067\u306f\uff0c\u6b21\u306b\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u4e2d\u8eab\u306b\u3064\u3044\u3066\u898b\u3066\u3044\u304f\u3053\u3068\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

\uff12\uff0e\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306e\u4ed5\u7d44\u307f\u3068\u300c\u30c7\u30fc\u30bf\u300d<\/strong><\/p>\n

\u3000\u4eca\u306e\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u7b50\u4f53\u3068\u3071\u304b\u3063\u3068\u958b\u3051\u308b\u3068\uff0c\u30de\u30b6\u30fc\u30dc\u30fc\u30c9\u3068\u547c\u3070\u308c\u308b\u30c7\u30b8\u30bf\u30eb\u56de\u8def\u57fa\u677f\u306e\u4e0a\u306b\u69d8\u3005\u306a\u96c6\u7a4d\u56de\u8def\u304c\u8f09\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u4e0b\u8a18\u306f\u672c\u7814\u7a76\u5ba4\u3067\u6545\u969c\u3057\u305f\u30de\u30b7\u30f3\u306e\u30de\u30b6\u30fc\u30dc\u30fc\u30c9\u306e\u5199\u771f\u3067\u3059\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u3000\u30de\u30b6\u30fc\u30dc\u30fc\u30c9\u306e\u4e0a\u306b\u4e57\u3063\u3066\u3044\u308b\u96c6\u7a4d\u56de\u8def\u306e\u3046\u3061\uff0c\u91cd\u8981\u306a\u3082\u306e\u304cCPU(Central Processing Unit)\u3068\u30e1\u30e2\u30ea(RAM)\u3067\u3059\u3002\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u3067\u884c\u308f\u308c\u308b\u51e6\u7406\u306f\uff0c\u5168\u3066\u306e\u30c7\u30fc\u30bf\u304c\u300c\u6570\u300d\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u3066\u30e1\u30e2\u30ea\u306b\u683c\u7d0d\u3055\u308c\uff0c\u51e6\u7406\u5185\u5bb9\u306b\u5fdc\u3058\u3066\u30e1\u30e2\u30ea\u5185\u306e\u30c7\u30fc\u30bf\u304c\u8aad\u307f\u51fa\u3055\u308c\u3066\u51e6\u7406\u3055\u308c\uff0c\u307e\u305f\u30e1\u30e2\u30ea\u306b\u66f8\u304d\u623b\u3055\u308c\u307e\u3059\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u3000\u3053\u306eCPU\u3068\u30e1\u30e2\u30ea\u3068\u306e\u3084\u308a\u53d6\u308a\u306b\u8981\u3059\u308b\u6642\u9593\uff0cCPU\u5185\u306e\u51e6\u7406\uff08\u8a08\u7b97\uff09\u306b\u8981\u3059\u308b\u6642\u9593\u304c\u77ed\u3051\u308c\u3070\u77ed\u3044\u307b\u3069\uff0c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u6027\u80fd\u304c\u9ad8\u3044\u3068\u8a00\u3048\u307e\u3059\u3002\u3068\u3066\u3082\u9ad8\u901f\u306a\u51e6\u7406\u304c\u53ef\u80fd\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u304c\uff0c\u56f0\u3063\u305f\u3053\u3068\u306b\uff0c\u30e1\u30e2\u30ea\u306e\u5927\u304d\u3055\u306f\u6709\u9650\u3067\uff0c\u51e6\u7406\u6642\u9593\u3082\u77ed\u3044\u3068\u306f\u3044\u3048\u30bc\u30ed\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002\u300c\u7121\u9650\u306e\u9577\u3055\u3092\u6301\u3064\u5b9f\u6570\u300d\u3092\u305d\u306e\u307e\u307e\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u30e1\u30e2\u30ea\u306b\u683c\u7d0d\u3059\u308b\u3053\u3068\u306f\u4e0d\u53ef\u80fd\u3067\u3059\u3057\uff0c\u4eee\u306b\u3067\u304d\u305f\u3068\u3057\u3066\u3082\uff0c\u7121\u9650\u306e\u9577\u3055\u306e\u51e6\u7406\u6642\u9593\u3092\u8981\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u300c\u7121\u9650\u5927(\u221e)\u300d\u3068\u306f\u679c\u3066\u306e\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\uff0c\u305d\u308c\u6545\u306b\u5b8c\u307a\u304d\u306a\u6570\u5b66\uff0c\u7279\u306b\u5fae\u5206\u7a4d\u5206\u306e\u3088\u3046\u306a\u89e3\u6790\u5b66\u3068\u3044\u3046\u4f53\u7cfb\u304c\u6210\u308a\u7acb\u3064\u308f\u3051\u3067\u3059\u304c\uff0c\u3053\u308c\u3067\u306f\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306b\u306f\u5b9f\u6570\u306e\u8a08\u7b97\u304c\u51fa\u6765\u306a\u3044\u3053\u3068\u306b\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002<\/p>\n

\uff13\uff0e\u300c\u8aa4\u5dee\u300d\u3092\u542b\u307e\u3056\u308b\u3092\u5f97\u306a\u3044\u79d1\u5b66\u6280\u8853\u8a08\u7b97<\/strong><\/p>\n

\u3000\u4ed5\u65b9\u304c\u306a\u3044\u306e\u3067\uff0c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u4e2d\u3067\u306f\u7121\u9650\u6841\u306e\u5c0f\u6570\u3092\u9069\u5f53\u306a\u9577\u3055\u306b\u5207\u3063\u3066\uff0c\u6709\u9650\u6841\u306e\u5c0f\u6570\uff08\uff1d\u6709\u7406\u6570\u306e\u4e00\u7a2e\uff09\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u306b\u3057\u307e\u3059\u3002\u3053\u306e\u9069\u5f53\u9577\u3055\u306b\u5207\u308b\u64cd\u4f5c\u306e\u3053\u3068\u3092\u300c\u4e38\u3081\uff08Round-off)\u300d\u3068\u547c\u3073\uff0c\u4e38\u3081\u306b\u4f34\u3063\u3066\u8d77\u304d\u308b\u5143\u306e\u6b63\u3057\u3044\u5024\uff08\u771f\u5024\uff09\u3068\u306e\u30ba\u30ec\u3092\u300c\u8aa4\u5dee(error)\u300d\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n

\u3000\u3053\u306e\u4e38\u3081\u306b\u4f34\u3046\u8aa4\u5dee\u3092\uff0c\u95a2\u6570\u30b0\u30e9\u30d5\u30a2\u30d7\u30ea\u3092\u4f7f\u3063\u3066\u307f\u3066\u3044\u304f\u3053\u3068\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

MPFRgraph<\/p><\/blockquote>\n

\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306f\u8a08\u7b97\u304c\u9ad8\u901f\u306a\u306e\u3067\uff0c\u3044\u304f\u3089\u3067\u3082\u9577\u3044\u6841\u306e\u8a08\u7b97\u304c\u3067\u304d\u305d\u3046\u3067\u3059\u304c\uff0c\u9577\u304f\u306a\u308c\u3070\u306a\u308b\u307b\u3069\u8a08\u7b97\u6642\u9593\u306f\u304b\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3057\uff0c\u79d1\u5b66\u6280\u8853\u958b\u767a\u7af6\u4e89\u3092\u4e16\u754c\u4e2d\u3067\u884c\u3063\u3066\u3044\u308b\u6628\u4eca\uff0c\u3042\u307e\u308a\u8aa4\u5dee\u3070\u304b\u308a\u6c17\u306b\u3057\u3066\u9577\u3044\u6841\u306e\u8a08\u7b97\u3070\u304b\u308a\u3059\u308b\u3053\u3068\u306f\u96e3\u3057\u3044\u306e\u304c\u73fe\u72b6\u3067\u3059\u3002\u5f93\u3063\u3066\uff0c\u6700\u8fd1\u306eAI\u306e\u4e2d\u6838\u6280\u8853\u3067\u3042\u308bDeep Learning\u3067\u306f\u306a\u308b\u3079\u304f\u77ed\u3044\u6841\u306e\u5c0f\u6570\u3067\u8a08\u7b97\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n

\u3000\u3057\u304b\u3057\uff0c\u3044\u304f\u3089\u8a08\u7b97\u304c\u901f\u304f\u3066\u3082\uff0c\u9014\u4e2d\u3067\u8aa4\u5dee\u304c\u62e1\u5927\u3055\u308c\u3066\uff0c\u4e0d\u6b63\u78ba\u306a\u5024\u3057\u304b\u51fa\u3066\u3053\u306a\u3044\u3088\u3046\u3067\u306f\u56f0\u308a\u307e\u3059\u3002\u4e00\u822c\u306b\u306f\uff0c\u4e38\u3081\u308b\u6841\u6570\u3092\u9577\u304f\u3059\u308c\u3070\u8aa4\u5dee\u3082\u5c0f\u3055\u304f\u3067\u304d\u308b\u308f\u3051\u3067\u3059\u304c\uff0c\u3068\u3066\u3082\u305f\u3061\u306e\u60aa\u3044\u554f\u984c\u304c\u3042\u308b\u3053\u3068\u306f\u826f\u304f\u77e5\u3089\u308c\u3066\u3044\u3066\uff0c\u3044\u304f\u3089\u6841\u3092\u9577\u304f\u53d6\u3063\u3066\u3082\u8db3\u308a\u306a\u304f\u306a\u308b\u3068\u3044\u3046\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n

\uff15\uff0e\u8aa4\u5dee\u8a55\u4fa1\u4ed8\u304d\u8a08\u7b97\u306e\u4f8b<\/strong><\/p>\n

\u3000\u6027\u8cea\u306e\u826f\u304f\u306a\u3044\u554f\u984c\u306e\u4f8b\u3068\u3057\u3066\uff0c\u300c\u8907\u96d1\u7cfb(Chaos system)\u300d\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u756a\u30b7\u30f3\u30d7\u30eb\u306a\u3082\u306e\u3068\u3057\u3066\uff0c\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u5199\u50cf\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u6b21\u306e\u3088\u3046\u306a\u6570\u5217\"x_0,\u306e\u751f\u6210\u554f\u984c\u3092\u53d6\u308a\u4e0a\u3052\u307e\u3057\u3087\u3046\u3002<\/p>\n

\u3000\u51fa\u767a\u5024\"x_0\u3068\u3057\u3066\uff0c\u6b21\u306e\u5f0f\u306e\u53f3\u8fba\u3092\u8a08\u7b97\u3057\u3066\u6b21\u306e\"x_1\"\u3092\u5c0e\u51fa\u3057\u307e\u3059\u3002<\/p>\n

\\[ x_{i+1} := 4x_i (1 – x_i)\u3000\\]<\/p>\n

\u3053\u308c\u3067\u5b9f\u6570\u5217\"\{x_i\}^{100}_{i=1}\"\u3092\uff0c\u4e0b\u8a18\u306eC\u30d7\u30ed\u30b0\u30e9\u30e0<\/p>\n

#include <stdio.h>\r\n\r\nmain()\r\n{\r\n    int i;\r\n    float x[102]; \/* \u5358\u7cbe\u5ea6 *\/\r\n\r\n    x[0] = 0.7501;\r\n\r\n    for(i = 0; i <= 100; i++)\r\n    {\r\n        x[i+1] = 4 * x[i] * (1 - x[i]);\r\n        if(i%10 == 0) \r\n        \tprintf("%5d %25.17e\\n", i, x[i]);\r\n    }\r\n}\r\n<\/pre>\n
\u3092\u7528\u3044\u3066IEEE754\u5358\u7cbe\u5ea6(\u7d047\u6841)\u53ca\u3073\u500d\u7cbe\u5ea6(\u7d0415\u6841)\u3067\u8a08\u7b97\u3057\u305f\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
\r\n    i      \u5358\u7cbe\u5ea6          \u3000\u500d\u7cbe\u5ea6\r\n    0   7.501000e-01 7.50099999999999989e-01\r\n   10   8.445168e-01 8.44495953602201199e-01\r\n   20   1.229039e-01 1.42939724528399537e-01\r\n   30   4.977781e-01 8.54296020314155413e-01\r\n   40   5.816439e-01 7.74995884542777125e-01\r\n   50   5.580120e-01 7.95132827423636751e-02\r\n   60   2.287482e-02 2.73872762849587226e-01\r\n   70   9.985481e-01 9.97021556611396687e-01\r\n   80   9.421800e-01 3.52785425069070790e-01\r\n   90   2.129389e-01 6.35558111134618908e-01\r\n  100   7.568640e-01 5.15390006286616020e-01\r\n<\/pre>\n
\u540c\u3058\u5024\u306b\u306a\u308b\u540d\u56f3\u3067\u3059\u304c\uff0c\"x_{20}\"\u3042\u305f\u308a\u3067\u3082\u3046\u5358\u7cbe\u5ea6\u306e\u5024\u306f\u6700\u521d\u306e\u4e00\u6841\u76ee\u3057\u304b\u5408\u3063\u3066\u3044\u307e\u305b\u3093\u3002\"x_{30}\"\u4ee5\u964d\u306f\u3082\u3046\u5168\u304f\u9055\u3046\u6570\u3067\u3059\u3002<\/p>\n
\u3000\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u306f\u3082\u3063\u3068\u6841\u6570\u3092\u5897\u3084\u3057\u3066\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u300250\u6841\u8a08\u7b97\u3059\u308b\u3068\u4e0b\u8a18\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n
\r\n  0, 7.501e-01\r\n 10, 8.4449595360221744753714870256154137267401952291229e-01\r\n 20, 1.4293972451230765528428175723130628307376969200214e-01\r\n 30, 8.5429600370442189166613118425888744374797589008230e-01\r\n 40, 7.7497575311820124128022346126421168481511313675586e-01\r\n 50, 9.3375332197703029055189668015168234762823013462054e-02\r\n 60, 4.0822016829087813187102766181952686730359229911213e-01\r\n 70, 7.1511999705058574897099346417593218350311240577887e-02\r\n 80, 4.6325330290077571055993467458320747053550671068192e-01\r\n 90, 1.3344050120868840464692012150021107621136608489291e-03\r\n100, 7.8817989371509906806704770440086762650658767283966e-02\r\n<\/pre>\n
100\u6841\u8a08\u7b97\u3059\u308b\u3068\uff0c<\/p>\n
\r\n  0, 7.501e-01\r\n 10, 8.44495953602217447537148702561541372674019522912291280007848388118986290823419270975121157e-01\r\n 20, 1.42939724512307655284281757231306283073769692002141121387637872878254442652405447154653323e-01\r\n 30, 8.54296003704421891666131184258887443747975890082277146848716525830873157517999293072280730e-01\r\n 40, 7.74975753118201241280223461264211684815113136725464353115716739919423777262939033931884043e-01\r\n 50, 9.33753321977030290551896680151682347628230351487453020066411681729685131997586455460349178e-02\r\n 60, 4.08220168290878131871027661819526867303629812881299069587191914174238088850476295365965331e-01\r\n 70, 7.15119997050585748970993464175932183301720988330772170512558519903814407400108286900737962e-02\r\n 80, 4.63253302900775710559934674583207430627755245547675072149154489741355095166291517037937750e-01\r\n 90, 1.33440501208688404646920121499911906832767847107910033479094701619779865654038757784875352e-03\r\n100, 7.88179893715099068067047704626992647240094450346038441154434366642728380004689090274960709e-02\r\n<\/pre>\n
\u3068\u306a\u308a\uff0c\u5927\u5206\u540c\u3058\u6570\u306b\u8fd1\u3065\u3044\u3066\u304d\u305f\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n
\u3000\u3053\u306e\u3088\u3046\u306b\uff0c\u4e38\u3081\u306b\u3088\u308b\u8aa4\u5dee\u306e\u5f71\u97ff\u304c\u5927\u304d\u304f\u51fa\u308b\u300c\u60aa\u6761\u4ef6\u554f\u984c\u300d\u3068\u3044\u3046\u3082\u306e\u304c\uff0c\u79d1\u5b66\u6280\u8853\u8a08\u7b97\u306b\u306f\u305f\u307e\u306b\u51fa\u3066\u304d\u307e\u3059\u3002\u8a08\u7b97\u9014\u4e2d\u3067\u8aa4\u5dee\u304c\u3069\u306e\u7a0b\u5ea6\u306f\u884c\u3063\u3066\u3044\u308b\u306e\u304b\u3092\u81ea\u52d5\u7684\u306b\u8abf\u3079\u308b\u300c\u533a\u9593\u6f14\u7b97(interval arithmetic)\u300d\u3068\u3044\u3046\u6280\u8853\u3082\u3042\u308a\u307e\u3059\u304c\uff0c\u3053\u306e\u3088\u3046\u306a\u60aa\u6761\u4ef6\u554f\u984c\u306e\u5834\u5408\u306f\u5927\u3057\u305f\u5f79\u306b\u306f\u7acb\u305f\u305a\uff0c\u7d50\u5c40\u6841\u6570\u3092\u591a\u304f\u3057\u306a\u3044\u3068\u307e\u3068\u3082\u306a\u5024\u3092\u5f97\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u4e0b\u8a18\u306e\u4f8b\u306f\uff0cMPFI\u3068\u547c\u3070\u308c\u308b\u591a\u500d\u9577\u8a08\u7b97\u3092\u533a\u9593\u6f14\u7b97\u306b\u5229\u7528\u3067\u304d\u308b\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3092\u4f7f\u3063\u305f\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u5199\u50cf\u306e\u63b2\u8f09\u4f8b\u3067\u3059\u3002\u4e00\u5fdc\uff0c\u30d7\u30ed\u30b0\u30e9\u30e0\u3082\u3064\u3051\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n
\r\n$ .\/logistic_mpfi\r\nprec(bits) = 128\r\n    0, [7.5009999999999999e-1,7.5010000000000001e-1] 3.918e-39\r\n   10, [8.4449595360221744e-1,8.4449595360221745e-1] 4.865e-33\r\n   20, [1.4293972451230765e-1,1.4293972451230766e-1] 3.014e-26\r\n   30, [8.5429600370442189e-1,8.5429600370442190e-1] 5.288e-21\r\n   40, [7.7497575311819887e-1,7.7497575311820361e-1] 6.112e-15\r\n   50, [9.3375329714176199e-2,9.3375334681229861e-2] 5.319e-08\r\n   60, [4.0561739523590902e-1,4.1082572849550305e-1] 1.276e-02\r\n   70, [-2.9373100713009889e43,2.1377489377594625e43] 5.075e+43\r\n   80, [-1.2245050211453045e45127,8.9118419393669329e45126]2.116e+45127\r\n   90, [-9.5278547330878072e46210753,6.9342905040200581e46210753]1.646e+46210754\r\n  100, [-@Inf@,@Inf@]       inf\r\n\r\n$ .\/logistic_mpfi\r\nprec(bits) = 256\r\n    0, [7.5009999999999999e-1,7.5010000000000001e-1] 1.151e-77\r\n   10, [8.4449595360221744e-1,8.4449595360221745e-1] 1.430e-71\r\n   20, [1.4293972451230765e-1,1.4293972451230766e-1] 8.857e-65\r\n   30, [8.5429600370442189e-1,8.5429600370442190e-1] 1.554e-59\r\n   40, [7.7497575311820124e-1,7.7497575311820125e-1] 1.796e-53\r\n   50, [9.3375332197703029e-2,9.3375332197703030e-2] 1.563e-46\r\n   60, [4.0822016829087813e-1,4.0822016829087814e-1] 3.749e-41\r\n   70, [7.1511999705058574e-2,7.1511999705058575e-2] 2.244e-34\r\n   80, [4.6325330290077571e-1,4.6325330290077572e-1] 3.633e-29\r\n   90, [1.3344050120868840e-3,1.3344050120868841e-3] 1.322e-20\r\n  100, [7.8817989371509897e-2,7.8817989371509917e-2] 2.348e-16\r\n<\/pre>\n
\/\/ logistic \u5199\u50cf\r\n\/\/ MPFR & MPFI\u7248\r\n#include <stdio.h>\r\n#include "mpfr.h"\r\n#include "mpfi.h"\r\n\r\nint main()\r\n{\r\n\tint i;\r\n\tunsigned long prec;\r\n\tmpfi_t x[102];\r\n\tmpfr_t relerr;\r\n\r\n\tprintf("prec(bits) = "); scanf("%ld", &prec);\r\n\tmpfr_set_default_prec(prec);\r\n\r\n\t\/\/ \u521d\u671f\u5316\r\n\tmpfr_init(relerr);\r\n\tfor(i = 0; i < 102; i++)\r\n\t\tmpfi_init(x[i]);\r\n\r\n\t\/\/ \u521d\u671f\u5024\r\n\t\/\/x[0] = 0.7501;\r\n\tmpfi_set_str(x[0], "0.7501", 10);\r\n\r\n\tfor(i = 0; i <= 100; i++)\r\n\t{\r\n\t\tif((i % 10) == 0)\r\n\t\t{\r\n\t\t\tprintf("%5d, ", i);\r\n\t\t\tmpfi_out_str(stdout, 10, 17, x[i]);\r\n\t\t\tmpfi_diam(relerr, x[i]);\r\n\t\t\tmpfr_printf("%10.3RNe\\n", relerr);\r\n\t\t}\r\n\r\n\t\t\/\/x[i + 1] = 4 * x[i] * (1 - x[i]);\r\n\t\tmpfi_ui_sub(x[i + 1], 1UL, x[i]);\r\n\t\tmpfi_mul(x[i + 1], x[i + 1], x[i]);\r\n\t\tmpfi_mul_ui(x[i + 1], x[i + 1], 4UL);\r\n\r\n\t}\r\n\r\n\t\/\/ \u6d88\u53bb\r\n\tmpfr_clear(relerr);\r\n\tfor(i = 0; i < 102; i++)\r\n\t\tmpfi_clear(x[i]);\r\n\r\n\treturn 0;\r\n}\r\n<\/pre>\n
\uff16\uff0e\u307e\u3068\u3081<\/strong><\/p>\n
\u3000\u4ee5\u4e0a\uff0c\u307e\u3068\u3081\u307e\u3059\u3068<\/p>\n
    \n
  1. \u5b9f\u6570\u306f\u7121\u9650\u6841\u306e\u5c0f\u6570\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u308b\u6570\u3067\u3042\u308b\u3002<\/li>\n
  2. \u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u30e1\u30e2\u30ea\u306f\u6709\u9650\u306a\u306e\u3067\uff0c\u7121\u9650\u6841\u306e\u5b9f\u6570\u3092\u683c\u7d0d\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u305a\uff0c\u4e38\u3081\u3066\u77ed\u3044\u6709\u9650\u6841\u306b\u53ce\u3081\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002<\/li>\n
  3. \u4e38\u3081\u306b\u4f34\u3046\u8aa4\u5dee\u304c\u751a\u5927\u306a\u5f71\u97ff\u3092\u53ca\u307c\u3059\u300c\u60aa\u6761\u4ef6\u554f\u984c\u300d\u3068\u3044\u3046\u3082\u306e\u304c\u5b58\u5728\u3059\u308b\u3002<\/li>\n
  4. \u60aa\u6761\u4ef6\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u6841\u3092\u5897\u3084\u3057\u3066\u5bfe\u51e6\u3059\u308b\u3057\u304b\u306a\u3044\u3002\u3057\u304b\u3057\u3053\u308c\u306f\u8a08\u7b97\u6642\u9593\u3092\u8981\u3059\u308b\u89e3\u6c7a\u7b56\u3067\u3042\u308b\u3002<\/li>\n<\/ol>\n
    \u3068\u306a\u308a\u307e\u3059\u3002\u300c\u9ad8\u6027\u80fd\u8a08\u7b97\u7814\u7a76\u5ba4\u300d\u3067\u306f\u3053\u306e\u3088\u3046\u306b\u9577\u3044\u6841\u306e\u8a08\u7b97\uff0c\u591a\u500d\u9577\u8a08\u7b97\u3092\u7528\u3044\u3066\u69d8\u3005\u306a\u60aa\u6761\u4ef6\u554f\u984c\u306e\u89e3\u6c7a\u306b\u53d6\u308a\u7d44\u3093\u3067\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
    \u30aa\u30fc\u30d7\u30f3\u30ad\u30e3\u30f3\u30d1\u30b9\u6a21\u64ec\u8b1b\u7fa9 \u300c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306e\u8a08\u7b97\u306f\u6b63\u3057\u304f\u306a\u3044\uff01\u300d \u9759\u5ca1\u7406\u5de5\u79d1\u5927\u5b66\u3000\u60c5\u5831\u5b66\u90e8 \u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b7\u30b9\u30c6\u30e0\u5b66\u79d1 \u5e78\u8c37\u3000\u667a\u7d00\uff08\u3053\u3046\u3084\u3000\u3068\u3082\u306e\u308a\uff09 \uff11\uff0e\u300c\u6570\u300d\u3068\u306f\uff1f \u3000\u73fe\u5728\u306eICT\u793e\u4f1a\u3067\u4f7f\u7528\u3055\u308c\u308b\u300c\u30c7\u30fc\u30bf(data)\u300d … <\/p>\n
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