{"id":1169,"date":"2020-04-27T00:00:00","date_gmt":"2020-04-26T15:00:00","guid":{"rendered":"https:\/\/www.ishikawasekkei.com\/?p=1169"},"modified":"2020-05-02T14:51:17","modified_gmt":"2020-05-02T05:51:17","slug":"python-programing-monte-carlo-method-pi","status":"publish","type":"post","link":"https:\/\/www.ishikawasekkei.com\/index.php\/2020\/04\/27\/python-programing-monte-carlo-method-pi\/","title":{"rendered":"Python \u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0 \u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u3067\u5186\u5468\u7387(\u03c0)\u3092\u6c42\u3081\u308b"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u3000\u4eca\u65e5\u3082\u898b\u306b\u6765\u3066\u304f\u3060\u3055\u3063\u3066\u3001\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3059\u3002\u77f3\u5ddd\u3055\u3093\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000\u6700\u8fd1\u3001\u30c7\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30c6\u30a3\u30b9\u30c8\u306e\u52c9\u5f37\u3092\u518d\u958b\u3057\u307e\u3057\u305f\u3002\u524d\u56de\u3082\u52c9\u5f37\u3057\u305f\u306e\u3067\u3059\u3051\u3069\u3001\u518d\u3073\u767b\u5834\u3057\u3066\u304d\u3066\u5f15\u3063\u304b\u304b\u3063\u305f\u306e\u3067\u3001\u3061\u3087\u3063\u3068\u30e1\u30e2\u3057\u3066\u304a\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u3068\u306f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u3068\u306f\u3001\u4e71\u6570\u3092\u4f7f\u3063\u3066\u6570\u5024\u8a08\u7b97\u3084\u30b7\u30e5\u30df\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u8fd1\u4f3c\u89e3\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3067\u3059\u3002\u4eca\u56de\u306f\u3001\u3053\u308c\u3092\u4f7f\u3063\u3066\u03c0\u3092\u6c42\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u03c0\u306e\u6c42\u3081\u65b9<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000\u5177\u4f53\u7684\u306b\u306f\u30011\u00d71\u306e\u6b63\u65b9\u5f62\u306e\u4e2d\u306b\u30e9\u30f3\u30c0\u30e0\u306a\u70b9\u3092\u6253\u3063\u3066\u3044\u3063\u3066\u3001\u534a\u5f841\u306e\u6247\u5f62\u306e\u4e2d\u306b\u5165\u308b\u70b9\u3068\u3001\u5165\u3089\u306a\u3044\u70b9\u306b\u5206\u3051\u3066\u3001\u305d\u306e\u6bd4\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u5186\u306e\u9762\u7a4d\u306f\u3001<code>\u534a\u5f84 \u00d7 \u534a\u5f84 \u00d7 \u03c0<\/code>\u3067\u3059\u306e\u3067\u3001\u3053\u306e\u534a\u5f841\u306e\u9762\u7a4d\u306f\u3001<code>1 \u00d7 1 \u00d7 \u03c0 = \u03c0<\/code>\u3068\u306a\u308a\u3001\u3053\u306e\u6247\u5f62\u306e\u9762\u7a4d\u306f\u305d\u306e\u56db\u5206\u306e\u4e00\u306b\u306a\u308a\u307e\u3059\u306e\u3067<code>\u03c0\/4<\/code>\u3067\u3059\u3002\u3053\u3053\u304b\u3089\u6247\u5f62\u3068\u3053\u306e\u6b63\u65b9\u5f62\u306e\u6bd4\u7387\u3088\u308a\u3001<code>\u03c0\/4 : 1 = \u5185\u5074\u306e\u70b9\u306e\u6570 : \u3059\u3079\u3066\u306e\u70b9\u306e\u6570<\/code>\u3068\u3044\u3046\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u3053\u306e\u6bd4\u4f8b\u5f0f\u304b\u3089<code>\u03c0 = 4 \u00d7 \u5185\u5074\u306e\u70b9\u306e\u6570 \/ \u3059\u3079\u3066\u306e\u70b9\u306e\u6570<\/code>\u3068\u3044\u3046\u3053\u3068\u3067<code>\u03c0<\/code>\u304c\u7b97\u51fa\u3067\u304d\u307e\u3059\u3002\u30d7\u30ed\u30b0\u30e9\u30e0\u3067\u30e9\u30f3\u30c0\u30e0\u306b10000\u500b\u306e\u70b9\u3092\u6253\u3063\u3066\u3001\u03c0\u306e\u8fd1\u4f3c\u5024\u3092\u7b97\u51fa\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"325\" height=\"306\" src=\"https:\/\/www.ishikawasekkei.com\/wp-content\/uploads\/2020\/04\/image-38.png\" alt=\"\" class=\"wp-image-1170\" srcset=\"https:\/\/www.ishikawasekkei.com\/wp-content\/uploads\/2020\/04\/image-38.png 325w, https:\/\/www.ishikawasekkei.com\/wp-content\/uploads\/2020\/04\/image-38-300x282.png 300w\" sizes=\"auto, (max-width: 325px) 100vw, 325px\" \/><figcaption>\u534a\u5f841\u306e\u6247\u5f62<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9<\/h2>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">import numpy as np\nimport math\nfrom pandas import DataFrame\n\nr1 = np.random.uniform(0.0, 1.0, 10000)\nr2 = np.random.uniform(0.0, 1.0, 10000)\np = DataFrame([(x, y) for x, y in zip(r1, r2) if math.hypot(x, y) &lt; 1])\n\nprint(4 * len(p) \/ 10000)<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000\u307c\u304f\u306e\u74b0\u5883\u30675\u56de\u5b9f\u884c\u3057\u305f\u7d50\u679c\u306f\u30013.1292\u30013.1384\u30013.15\u30013.168\u30013.1356\u3068\u3044\u3046\u611f\u3058\u3067\u3057\u305f\u3002\u307e\u3042\u307e\u3042\u8fd1\u3044\u3067\u3059\u306d\u3002\u56de\u6570\u3092\u5897\u3084\u305b\u3070\u7cbe\u5ea6\u304c\u4e0a\u304c\u3063\u3066\u3044\u304f\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000\u3042\u3001\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9\u306e\u65b9\u3001\u3061\u3087\u3063\u3068\u8aac\u660e\u3092\u3059\u308b\u3068\u3001np.random.uniform(\u59cb\u70b9,\u7d42\u70b9,\u500b\u6570)\u306f\u3001\u59cb\u70b9\u304b\u3089\u7d42\u70b9\u307e\u3067\u306e\u4e00\u69d8\u4e71\u6570\u3092\u500b\u6570\u3067\u6307\u5b9a\u3055\u308c\u305f\u6570\u767a\u751f\u3057\u307e\u3059\u3002\u4e00\u69d8\u4e71\u6570\u3068\u306f\u3001\u7bc4\u56f2\u306e\u6570\u5024\u304c\u7b49\u78ba\u7387\u3067\u4e71\u6570\u306e\u3053\u3068\u3067\u3059\u3002\u4eca\u56de\u306e\u3053\u306e\u4f8b\u3067\u306f\u300110000\u500b\u306e\u4e71\u6570\u3092\u767a\u751f\u3055\u305b\u3066\u3044\u307e\u3059\u3002\u305d\u3057\u3066\u3001<code>math.hypot(x,y)<\/code>\u306f\u3001\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u8ddd\u96e2\u3001\u3064\u307e\u308a\u221a(x*x+y*y)\u3092\u8a08\u7b97\u3057\u305f\u7d50\u679c\u3092\u8fd4\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u3053\u306e\u95a2\u6570\u3067\u539f\u70b9\u304b\u3089x,y\u5ea7\u6a19\u3067\u6307\u5b9a\u3057\u305f\u70b9\u307e\u3067\u306e\u8ddd\u96e2\u304c1\u3088\u308a\u5c0f\u3055\u3044\u304b\u3069\u3046\u304b\u3092\u5224\u5b9a\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000\u3053\u306e\u7d50\u679c\u3092\u4f7f\u3063\u3066\u30c7\u30fc\u30bf\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u3066\u307f\u307e\u3059\u3002\u4e0a\u306e\u534a\u5f841\u306e\u6247\u5f62\u3092\u51fa\u529b\u3057\u305f\u30b9\u30af\u30ea\u30d7\u30c8\u306b\u8ffd\u8a18\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">import numpy as np\nimport matplotlib.pyplot as plt\n\nx = np.arange(0.0,2.0,0.001)\ny = np.sqrt(1-x**2)\nplt.figure(figsize=(5,5))\nplt.xlim(0.0,1.0)\nplt.ylim(0.0,1.0)\nplt.plot(x,y)\nplt.plot(p[0],p[1],'.')<\/pre>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"305\" src=\"https:\/\/www.ishikawasekkei.com\/wp-content\/uploads\/2020\/04\/image-39.png\" alt=\"\" class=\"wp-image-1171\" srcset=\"https:\/\/www.ishikawasekkei.com\/wp-content\/uploads\/2020\/04\/image-39.png 320w, https:\/\/www.ishikawasekkei.com\/wp-content\/uploads\/2020\/04\/image-39-300x286.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><figcaption>\u534a\u5f841\u306e\u6247\u5f62\u306e\u5185\u90e8\u306b\u70b9\u3092\u63cf\u753b<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u3001\u4e71\u6570\u3092\u4f7f\u3063\u3066\u8fd1\u4f3c\u5024\u3092\u6c42\u3081\u3089\u308c\u308b\u306a\u3093\u3066\u3001\u3061\u3087\u3063\u3068\u30ab\u30c3\u30b3\u3044\u3044\u3067\u3059\u3088\u306d\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3000\u4eca\u65e5\u3082\u898b\u306b\u6765\u3066\u304f\u3060\u3055\u3063\u3066\u3001\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3059\u3002\u77f3\u5ddd\u3055\u3093\u3067\u3059\u3002 \u3000\u6700\u8fd1\u3001\u30c7\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30c6\u30a3\u30b9\u30c8\u306e\u52c9\u5f37\u3092\u518d\u958b\u3057\u307e\u3057\u305f\u3002\u524d\u56de\u3082\u52c9\u5f37\u3057\u305f\u306e\u3067\u3059\u3051\u3069\u3001\u518d\u3073\u767b\u5834\u3057\u3066\u304d\u3066\u5f15\u3063\u304b\u304b\u3063\u305f\u306e\u3067\u3001\u3061\u3087\u3063\u3068\u30e1\u30e2\u3057\u3066\u304a\u304d\u307e\u3059\u3002 \u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.ishikawasekkei.com\/index.php\/2020\/04\/27\/python-programing-monte-carlo-method-pi\/\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;Python \u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0 \u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u3067\u5186\u5468\u7387(\u03c0)\u3092\u6c42\u3081\u308b&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,2],"tags":[],"class_list":["post-1169","post","type-post","status-publish","format-standard","hentry","category-program","category-blog"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.9 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"sTone\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/www.ishikawasekkei.com\/index.php\/2020\/04\/27\/python-programing-monte-carlo-method-pi\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.9\" \/>\n\t\t<meta property=\"og:locale\" content=\"ja_JP\" \/>\n\t\t<meta property=\"og:site_name\" content=\"\u682a\u5f0f\u4f1a\u793e \u77f3\u5ddd\u8a2d\u8a08 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\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0 \u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u3067\u5186\u5468\u7387(\u03c0)\u3092\u6c42\u3081\u308b | \u682a\u5f0f\u4f1a\u793e \u77f3\u5ddd\u8a2d\u8a08 \u30b7\u30b9\u30c6\u30e0\u958b\u767a\u3092\u3068\u3053\u3068\u3093\u6975\u3081\u307e\u3059\uff01\" \/>\n\t\t<meta name=\"twitter:image\" content=\"https:\/\/www.ishikawasekkei.com\/wp-content\/uploads\/2019\/02\/cropped-ishikawasekkei-2.png\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.ishikawasekkei.com\\\/index.php\\\/2020\\\/04\\\/27\\\/python-programing-monte-carlo-method-pi\\\/#article\",\"name\":\"Python \\u30d7\\u30ed\\u30b0\\u30e9\\u30df\\u30f3\\u30b0 \\u30e2\\u30f3\\u30c6\\u30ab\\u30eb\\u30ed\\u6cd5\\u3067\\u5186\\u5468\\u7387(\\u03c0)\\u3092\\u6c42\\u3081\\u308b | \\u682a\\u5f0f\\u4f1a\\u793e \\u77f3\\u5ddd\\u8a2d\\u8a08 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