{"id":4847,"date":"2025-03-31T17:10:15","date_gmt":"2025-03-31T08:10:15","guid":{"rendered":"https:\/\/www.ktech.biz\/jp\/?p=4847"},"modified":"2025-05-06T21:05:12","modified_gmt":"2025-05-06T12:05:12","slug":"15-rand","status":"publish","type":"post","link":"https:\/\/www.ktech.biz\/jp\/tutorial\/15-rand\/","title":{"rendered":"15. \u4e71\u6570"},"content":{"rendered":"\n<h3>15.1 \u6982\u8981<\/h3>\n<p>\u30e9\u30f3\u30c0\u30e0\u306a\u5024\u3092\u3068\u308b\u6570\u5217\u3092\u4e71\u6570\u3068\u3044\u3044, \u4f8b\u3048\u3070, \u7121\u4f5c\u70ba\u306b\u30b5\u30f3\u30d7\u30eb\u3092\u9078\u3076\u3088\u3046\u306a\u5834\u5408\u306b\u4f7f\u308f\u308c\u307e\u3059. \u6570\u5024\u8a08\u7b97\u306e\u5206\u91ce\u3067\u4e71\u6570\u304c\u5fc5\u8981\u306b\u306a\u308b\u4f8b\u3068\u3057\u3066\u306f, \u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5, \u78ba\u7387\u7684\u73fe\u8c61\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306a\u3069\u304c\u3042\u3052\u3089\u308c\u307e\u3059.<\/p>\n<p>\u4e71\u6570\u3092\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3067\u751f\u6210\u3059\u308b\u3068\u306f\u3042\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u57fa\u3065\u3044\u305f\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f7f\u3063\u3066\u4e71\u6570\u3092\u5f97\u308b\u3068\u3044\u3046\u3053\u3068\u306a\u306e\u3067, \u5b8c\u5168\u306b\u306f\u30e9\u30f3\u30c0\u30e0\u3067\u306f\u306a\u304f\u4f55\u3089\u304b\u306e\u898f\u5247\u6027\u3092\u6301\u3064\u3053\u3068\u306b\u306a\u308a\u307e\u3059. \u305d\u306e\u305f\u3081\u3053\u308c\u3092\u7591\u4f3c\u4e71\u6570\u3068\u547c\u3076\u3053\u3068\u3082\u3042\u308a\u307e\u3059.<\/p>\n<p>\u7591\u4f3c\u4e71\u6570\u306e\u5229\u70b9\u3068\u3057\u3066\u306f, \u5fc5\u8981\u306a\u3068\u304d\u306b\u3044\u3064\u3067\u3082\u751f\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d, \u7d50\u679c\u3092\u691c\u8a3c\u3057\u305f\u3044\u3068\u304d\u306b\u5b8c\u5168\u306b\u518d\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u304c\u3042\u3052\u3089\u308c\u307e\u3059. \u5358\u306b\u7591\u4f3c\u4e71\u6570\u3068\u3044\u3046\u3068\u4e00\u822c\u7684\u306b\u306f\u4e00\u69d8\u5206\u5e03\u306b\u5f93\u3046\u4e71\u6570\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059. <\/p>\n<p>Excel \u3067\u306f\u6a19\u6e96\u3067\u7591\u4f3c\u4e71\u6570\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d, VBA \u3067\u306f Rnd \u95a2\u6570\u3068 Randomize (\u521d\u671f\u5316), \u30ef\u30fc\u30af\u30b7\u30fc\u30c8\u95a2\u6570\u3067\u306f RAND, RANDARRAY \u3068 RANDBETWEEN \u304c\u63d0\u4f9b\u3055\u308c\u3066\u3044\u307e\u3059.<\/p>\n<h3>15.2 \u4e71\u6570\u306e\u751f\u6210\u65b9\u6cd5<\/h3>\n<h4>15.2.1 \u7dda\u5f62\u5408\u540c\u6cd5<\/h4>\n<p>\u53e4\u304f\u304b\u3089\u5e83\u304f\u4f7f\u308f\u308c\u3066\u3044\u308b\u4ee3\u8868\u7684\u306a\u7591\u4f3c\u4e71\u6570\u751f\u6210\u6cd5\u3067\u3059.<\/p>\n<p>\\(0\\) \u3068 \\(m\\) \u306e\u9593\u306e\u6574\u6570\u306e\u521d\u671f\u5024 \\(X_0\\) \u3092\u9078\u3073, \u6b21\u306e\u6f38\u5316\u5f0f\u306b\u3088\u308a\u6570\u5217\u3092\u751f\u6210\u3057\u307e\u3059.<br \/>\n\\[<br \/>\nX_{i+1} = (aX_i + c) \\space mod \\space m<br \/>\n\\]\n\u305f\u3060\u3057, \\(0 \\leq a < m, 0 \\leq c < m\\) \u3068\u3057\u307e\u3059.<\/p>\n<p>\u30d1\u30e9\u30e1\u30fc\u30bf \\(a, c\\) \u304a\u3088\u3073 \\(m\\) \u3092\u9069\u5207\u306b\u9078\u3076\u3068\u4e71\u6570\u5217\u304c\u5f97\u3089\u308c\u307e\u3059. \u4e71\u6570\u5217\u3092\u7e70\u308a\u8fd4\u3059\u5468\u671f\u3084\u7d71\u8a08\u7684\u6027\u8cea (\u30e9\u30f3\u30c0\u30e0\u6027) \u306f\u3053\u308c\u3089\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u9078\u3073\u65b9\u306b\u3088\u3063\u3066\u6c7a\u307e\u308a\u307e\u3059.<\/p>\n<p>\u540c\u3058\u521d\u671f\u5024 \\(X_0\\) \u304b\u3089\u306f\u540c\u3058\u4e71\u6570\u5217\u304c\u5f97\u3089\u308c\u307e\u3059. \u5f93\u3063\u3066, \u6700\u5927\u3067\u3082 \\(m\\) \u306e\u5468\u671f\u3067\u540c\u3058\u6570\u5217\u3092\u7e70\u308a\u8fd4\u3059\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059. \u305d\u306e\u305f\u3081 \\(m\\) \u306f\u3067\u304d\u308b\u3060\u3051\u5927\u304d\u3044\u5024\u3092\u9078\u3093\u3060\u65b9\u304c\u3088\u3044\u3053\u3068\u306b\u306a\u308a\u307e\u3059. \u52a0\u3048\u3066, \u6f38\u5316\u5f0f\u4e2d\u306e \\(mod \\space m\\) \u306e\u8a08\u7b97\u3092\u30aa\u30fc\u30d0\u30fc\u30d5\u30ed\u30fc\u3092\u5229\u7528\u3057\u3066\u901f\u304f\u884c\u3046\u305f\u3081\u306b, \u30ef\u30fc\u30c9\u9577 32 \u30d3\u30c3\u30c8\u3067\u3042\u308c\u3070 \\(m = 2^{32}\\) \u3068\u3059\u308b\u3053\u3068\u304c\u3088\u304f\u3042\u308a\u307e\u3059.<\/p>\n<p>\u5b9f\u6570\u306e\u4e71\u6570\u304c\u5fc5\u8981\u306a\u5834\u5408\u306b\u306f, \u5f97\u3089\u308c\u305f\u6574\u6570\u4e71\u6570\u3092\u6d6e\u52d5\u5c0f\u6570\u6f14\u7b97\u3067 \\(m\\) \u3067\u5272\u308b\u306a\u3069\u3057\u3066\u5909\u63db\u3057\u307e\u3059.<\/p>\n<p>VBA \u95a2\u6570 Rnd \u3067\u306f \\(m = 2^{24}, a = 16598013, c = 12820163\\) \u304c\u4f7f\u308f\u308c\u3066\u3044\u3066, \u5468\u671f\u306f \\(2^{24}\\) \u3068\u3042\u307e\u308a\u9577\u304f\u3042\u308a\u307e\u305b\u3093. \u95a2\u6570\u5024\u3068\u3057\u3066 \\([0, 1)\\) \u306e\u5358\u7cbe\u5ea6\u6d6e\u52d5\u5c0f\u6570\u3092\u8fd4\u3057\u307e\u3059.<\/p>\n<p>\u4f8b\u3068\u3057\u3066, \u6587\u732e[1]\u3067\u63a8\u5968\u3055\u308c\u3066\u3044\u308b \\(m = 2^{32}, a = 69069, c = 1\\) \u3092\u4f7f\u3063\u3066\u5b9f\u9a13\u3057\u3066\u307f\u307e\u3059. \u5468\u671f\u306f \\(2^{32}\\) \u3068\u306a\u308a\u307e\u3059.<br \/>\n\\[<br \/>\nX_{i+1} = (69069X_i + 1) \\space mod \\space 2^{32}<br \/>\n\\]\nVB.NET \u30d7\u30ed\u30b0\u30e9\u30e0\u4f8b\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059.<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-vb\" data-lang=\"VB\"><code>Class Test\r\n\r\nShared Function TRand(ByRef IX As Integer) As Integer\r\n    IX = 69069 * IX + 1\r\n    TRand = IX\r\nEnd Function\r\n\r\nPublic Shared Sub Main(ByVal args() As String)\r\n    Dim IX As Integer, I As Integer\r\n    IX = 13\r\n    For I = 1 To 10\r\n        Console.WriteLine(TRand(IX))\r\n    Next\r\nEnd Sub\r\n\r\nEnd Class<\/code><\/pre>\n<\/div>\n<p>\u6ce8 &#8211; \u6574\u6570\u30aa\u30fc\u30d0\u30fc\u30d5\u30ed\u30fc\u30c1\u30a7\u30c3\u30af\u3092\u89e3\u9664\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059 (vbc -removeintchecks+ \u3068\u3057\u3066\u30b3\u30f3\u30d1\u30a4\u30eb\u3057\u307e\u3059). Excal VBA \u3067\u306f\u305d\u306e\u65b9\u6cd5\u304c\u4e0d\u660e\u3060\u3063\u305f\u306e\u3067 VB.Net \u3092\u4f7f\u7528\u3057\u307e\u3057\u305f.<\/p>\n<p>\u30b7\u30fc\u30c9\u3092 13 \u3068\u3057\u305f\u3068\u304d\u306b\u306f\u6b21\u306e\u3088\u3046\u306a\u4e71\u6570\u5217\u304c\u5f97\u3089\u308c\u307e\u3057\u305f.<\/p>\n<pre> \r\n897898\r\n1887374819\r\n-1755994680\r\n784918825\r\n-1813853482\r\n-1145091233\r\n1516383764\r\n-1962284539\r\n-1042831614\r\n-735193445\r\n\r\n<\/pre>\n<p>&nbsp;<br \/>\n\u7dda\u5f62\u5408\u540c\u6cd5\u306e\u6b20\u70b9\u3068\u3057\u3066\u306f\u4e0b\u4f4d\u6841\u304c\u30e9\u30f3\u30c0\u30e0\u3067\u306a\u3044\u3053\u3068\u304c\u3042\u3052\u3089\u308c\u307e\u3059. \u4e0a\u306e\u4f8b\u3067\u3082\u5947\u6570\u3068\u5076\u6570\u3092\u7e70\u308a\u8fd4\u3057\u3066\u3044\u308b (\u6700\u4e0b\u4f4d\u30d3\u30c3\u30c8\u304c 1 \u3068 0 \u3092\u7e70\u308a\u8fd4\u3057\u3066\u3044\u308b) \u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059.<\/p>\n<p>\u3057\u304b\u3057, \u3053\u306e\u5834\u5408\u3067\u3082\u4e0a\u4f4d\u6841\u306e\u30e9\u30f3\u30c0\u30e0\u6027\u306f\u826f\u3044\u306e\u3067, \u4f8b\u3048\u3070\u4e0a\u4f4d 24 \u30d3\u30c3\u30c8\u3060\u3051\u3092\u4f7f\u3046\u306a\u3069\u3059\u308c\u3070\u826f\u3044\u30e9\u30f3\u30c0\u30e0\u6027\u304c\u5f97\u3089\u308c\u307e\u3059. \u306a\u304a, \u5b9f\u6570\u4e71\u6570\u306b\u5909\u63db\u3057\u3066\u4f7f\u3046\u5834\u5408\u306b\u306f\u4e0b\u4f4d\u30d3\u30c3\u30c8\u306e\u5468\u671f\u6027\u306f\u3042\u307e\u308a\u554f\u984c\u306b\u306a\u308a\u307e\u305b\u3093.<\/p>\n<h4>15.2.2 \u30e1\u30eb\u30bb\u30f3\u30cc\u30c4\u30a4\u30b9\u30bf\u30fc (MT)<\/h4>\n<p>1996\u5e74\u9803\u306b\u65e5\u672c\u3067\u958b\u767a\u3055\u308c\u305f\u6bd4\u8f03\u7684\u65b0\u3057\u3044\u3082\u306e\u3067\u3059. General Feedback Shift Register (GFSR) \u65b9\u5f0f\u3092\u6539\u826f\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u4f7f\u7528\u3057\u3066\u304a\u308a, \u6587\u732e[2]\u306e\u30db\u30fc\u30e0\u30da\u30fc\u30b8\u306b\u8a73\u3057\u3044\u8aac\u660e\u3068\u30d7\u30ed\u30b0\u30e9\u30e0\u304c\u63b2\u8f09\u3055\u308c\u3066\u3044\u307e\u3059.<\/p>\n<p>\u975e\u5e38\u306b\u9577\u5468\u671f \\((2^{19937} &#8211; 1)\\) \u304b\u3064\u7d71\u8a08\u7684\u6027\u8cea\u3082\u826f\u3044 (\u3088\u308a\u30e9\u30f3\u30c0\u30e0\u3068\u8a00\u3048\u308b) \u4e71\u6570\u767a\u751f\u5668\u3067\u3059.<\/p>\n<p>\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e Python \u306e\u4e71\u6570\u751f\u6210\u30e2\u30b8\u30e5\u30fc\u30eb\u3067\u3082\u30e1\u30eb\u30bb\u30f3\u30cc\u30c4\u30a4\u30b9\u30bf\u30fc\u304c\u63a1\u7528\u3055\u308c\u3066\u3044\u307e\u3059.<\/p>\n<h3>15.3 XLPack \u3092\u4f7f\u3063\u305f\u4e71\u6570\u306e\u751f\u6210\u65b9\u6cd5<\/h3>\n<p>Excel \u306e VBA\u95a2\u6570 Rnd \u3084\u30ef\u30fc\u30af\u30b7\u30fc\u30c8\u95a2\u6570 RAND \u3092\u4f7f\u3048\u3070\u4e71\u6570\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d, \u4e00\u822c\u7684\u306b\u306f\u3053\u308c\u3067\u554f\u984c\u3042\u308a\u307e\u305b\u3093. \u3057\u304b\u3057, \u500d\u7cbe\u5ea6\u6d6e\u52d5\u5c0f\u6570\u304c\u5fc5\u8981\u306a\u5834\u5408\u3084\u7279\u306b\u9577\u5468\u671f\u3067\u3059\u3050\u308c\u305f\u30e9\u30f3\u30c0\u30e0\u6027\u3092\u5fc5\u8981\u3068\u3059\u308b\u5834\u5408\u306e\u305f\u3081\u306b\u30e1\u30eb\u30bb\u30f3\u30cc\u30c4\u30a4\u30b9\u30bf\u30fc\u306e VBA \u95a2\u6570 <strong>InitGenrand<\/strong>, <strong>GenrandInt32<\/strong>, <strong>GenrandInt31<\/strong>, <strong>GenrandReal53<\/strong> \u3092\u63d0\u4f9b\u3057\u3066\u3044\u307e\u3059.<\/p>\n<p><strong>InitGenrand<\/strong> \u306f\u521d\u671f\u5316\u3092\u884c\u3044\u307e\u3059. \u3053\u306e\u5f15\u6570 (\u30b7\u30fc\u30c9\u3068\u3044\u3046) \u306b\u3088\u308a\u751f\u6210\u3059\u308b\u4e71\u6570\u5217\u306e\u59cb\u70b9\u304c\u6c7a\u307e\u308a\u307e\u3059. <strong>GenrandInt32<\/strong>, <strong>GenrandInt31<\/strong>, <strong>GenrandReal53<\/strong> \u306f\u305d\u308c\u305e\u308c\u7b26\u53f7\u4ed8\u304d 32 \u30d3\u30c3\u30c8\u6574\u6570, \u7b26\u53f7\u306a\u3057 31 \u30d3\u30c3\u30c8\u6574\u6570, \u533a\u9593 [0, 1) \u306b\u304a\u3051\u308b 53 \u30d3\u30c3\u30c8\u5b9f\u6570\u306e\u7591\u4f3c\u4e71\u6570\u3092\u751f\u6210\u3057\u307e\u3059.<\/p>\n<h5>\u4f8b\u984c<\/h5>\n<p>\u306f\u3058\u3081\u306b InitGenrand \u306b\u3088\u308b\u521d\u671f\u5316\u3092\u884c\u3044 GenrandInt32 \u3092\u547c\u3073\u51fa\u3057\u3066 32 \u30d3\u30c3\u30c8\u6574\u6570\u4e71\u6570\u3092 10 \u500b\u751f\u6210\u3059\u308b.<\/p>\n<p>VBA \u30d7\u30ed\u30b0\u30e9\u30e0\u4f8b\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059.<\/p>\n<div class=\"hcb_wrap\">\n<pre class=\"prism line-numbers lang-vb\" data-lang=\"VBA\"><code>Sub Start()\r\n    Dim Seed As Long, I As Long\r\n    Seed = 13\r\n    Call InitGenrand(Seed)\r\n    For I = 1 To 10\r\n        Debug.Print GenrandInt32()\r\n    Next\r\nEnd Sub<\/code><\/pre>\n<\/div>\n<p>\u6b21\u306e\u3088\u3046\u306a\u7d50\u679c\u304c\u5f97\u3089\u308c\u307e\u3057\u305f.<\/p>\n<pre>  \r\n-954760878 \r\n-1686456144 \r\n 1020231754 \r\n-603726320 \r\n-754717978 \r\n-459635870 \r\n-147106060 \r\n 769458329 \r\n-117677332 \r\n-1036873798 \r\n\r\n<\/pre>\n<p>&nbsp;<\/p>\n<hr \/>\n<h4>\u53c2\u8003\u6587\u732e<\/h4>\n[1] \u5ca9\u5d0e\u5b66\u300c\u7d71\u8a08\u7684\u30c7\u30fc\u30bf\u89e3\u6790\u306e\u305f\u3081\u306e\u6570\u5024\u8a08\u7b97\u6cd5\u5165\u9580\u300d\u671d\u5009\u66f8\u5e97 (2004)<br \/>\n[2] Mersenne Twister Home Page: http:\/\/www.math.sci.hiroshima-u.ac.jp\/~m-mat\/MT\/mt.html<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7591\u4f3c\u4e71\u6570\u306e\u751f\u6210\u65b9\u6cd5\u3068XLPack\u3092\u4f7f\u3063\u305f\u4e71\u6570\u751f\u6210\u306e\u3084\u308a\u65b9<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"footnotes":""},"categories":[10],"tags":[],"class_list":["post-4847","post","type-post","status-publish","format-standard","hentry","category-tutorial"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u7591\u4f3c\u4e71\u6570\u306e\u751f\u6210\u65b9\u6cd5\u3068XLPack\u3092\u4f7f\u3063\u305f\u4e71\u6570\u751f\u6210\u306e\u3084\u308a\u65b9\" \/>\n\t<meta name=\"robots\" content=\"max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n\t<meta 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