{"id":56921,"date":"2023-11-28T18:20:14","date_gmt":"2023-11-28T18:20:14","guid":{"rendered":"https:\/\/science-hub.click\/C%2B%2B1x-%E5%AE%9A%E7%BE%A9\/"},"modified":"2023-11-28T18:20:14","modified_gmt":"2023-11-28T18:20:14","slug":"C%2B%2B1x-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=56921","title":{"rendered":"C++1x &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p><b>C++1x<\/b> (\u4ee5\u524d\u306f<b>C++0x<\/b>\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u307e\u3057\u305f) \u306f\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u306b\u304a\u3051\u308b C++ \u8a00\u8a9e\u306e\u65b0\u3057\u3044\u6a19\u6e96\u3068\u3057\u3066\u8a08\u753b\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u30011998 \u5e74\u306b\u767a\u884c\u3055\u308c 2003 \u5e74\u306b\u66f4\u65b0\u3055\u308c\u305f\u65e2\u5b58\u306e\u6a19\u6e96\u3067\u3042\u308b ISO\/IEC 14882 \u3092\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u5f8c\u8005\u306f\u3001C++98 \u304a\u3088\u3073 C++03 \u3068\u3044\u3046\u975e\u516c\u5f0f\u306e\u540d\u524d\u3067\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u65b0\u3057\u3044<span><a href=\"https:\/\/science-hub.click\/?p=1846\">\u6a19\u6e96\u3067\u306f\u3001<\/a><\/span>\u521d\u671f\u8a00\u8a9e\u306b\u3044\u304f\u3064\u304b\u306e\u65b0\u6a5f\u80fd\u304c\u5c0e\u5165\u3055\u308c\u308b\u307b\u304b\u3001\u7279\u6b8a\u306a\u6570\u5b66\u95a2\u6570\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u9664\u304f\u3001\u300c<span><a href=\"https:\/\/science-hub.click\/?p=3682\">\u30c6\u30af\u30cb\u30ab\u30eb<\/a><\/span>\u30ec\u30dd\u30fc\u30c8 1\u300d\u306e\u307b\u3068\u3093\u3069\u306e\u30e9\u30a4\u30d6\u30e9\u30ea\u3068\u540c\u69d8\u306b C++<span><a href=\"https:\/\/science-hub.click\/?p=76437\">\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea<\/a><\/span>\u306b\u3082\u65b0\u6a5f\u80fd\u304c\u5c0e\u5165\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u6a19\u6e96\u306f<span><a href=\"https:\/\/science-hub.click\/?p=66847\">\u73fe\u5728<\/a><\/span>\u6700\u7d42\u6c7a\u5b9a\u3055\u308c\u3066\u3044\u306a\u3044\u305f\u3081\u3001\u3053\u306e\u8a18\u4e8b\u306f ISO C++ \u6a19\u6e96\u59d4\u54e1\u4f1a\u30b5\u30a4\u30c8\u3067\u516c\u958b\u3055\u308c\u3066\u3044\u308b C++1x \u306e\u73fe\u5728\u306e\u72b6\u6cc1\u3092\u53cd\u6620\u3057\u3066\u3044\u306a\u3044\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u6700\u65b0\u306e\u30ec\u30dd\u30fc\u30c8 N2597 \u306f 2008 \u5e74 5 \u6708\u306b\u767a\u884c\u3055\u308c\u307e\u3057\u305f\u3002<\/p><p> ISO\/IEC JTC1\/SC22\/WG21 C++ \u6a19\u6e96\u59d4\u54e1\u4f1a\u306f\u30012009 \u5e74\u306b\u65b0\u3057\u3044\u6a19\u6e96\u3092\u5c0e\u5165\u3059\u308b\u3053\u3068\u3092\u76ee\u6307\u3057\u3066\u3044\u307e\u3059 (\u3057\u305f\u304c\u3063\u3066\u3001\u73fe\u5728 C++1x \u3068\u547c\u3070\u308c\u3066\u3044\u308b\u6a19\u6e96\u306f C++09 \u3068\u547c\u3070\u308c\u307e\u3059)\u3002\u3053\u308c\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=84395\">\u6587\u66f8\u304c<\/a><\/span>\u6b21\u306e\u6a5f\u95a2\u306b\u3088\u3063\u3066\u6279\u51c6\u3055\u308c\u308b\u6e96\u5099\u304c\u3067\u304d\u3066\u3044\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<span><a href=\"https:\/\/science-hub.click\/?p=82055\">\u671f\u9650<\/a><\/span>\u5185\u306b\u7d42\u4e86\u3059\u308b\u305f\u3081\u306b\u3001\u59d4\u54e1\u4f1a\u306f 2006 \u5e74\u307e\u3067\u306b\u4f5c\u6210\u3055\u308c\u305f\u89e3\u6c7a\u7b56\u306b\u52aa\u529b\u3092\u96c6\u4e2d\u3057\u3001\u65b0\u3057\u3044\u63d0\u6848\u306f\u3059\u3079\u3066\u7121\u8996\u3059\u308b\u3053\u3068\u3092\u6c7a\u5b9a\u3057\u307e\u3057\u305f\u3002<\/p><p> C++ \u306e\u3088\u3046\u306a <span><a href=\"https:\/\/science-hub.click\/?p=82947\">\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u306f<\/a><\/span>\u9032\u5316\u3057\u3066\u304a\u308a\u3001\u30d7\u30ed\u30b0\u30e9\u30de\u30fc\u306f\u3088\u308a\u9ad8\u901f\u304b\u3064\u30a8\u30ec\u30ac\u30f3\u30c8\u306b\u30b3\u30fc\u30c9\u3092\u4f5c\u6210\u3057\u3001\u4fdd\u5b88\u53ef\u80fd\u306a\u30b3\u30fc\u30c9\u3092\u751f\u6210\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u3067\u306f\u5fc5\u7136\u7684\u306b\u3001C++ \u958b\u767a\u30d7\u30ed\u30bb\u30b9\u4e2d\u306b\u6642\u3005\u751f\u3058\u308b\u65e2\u5b58\u306e\u30b3\u30fc\u30c9\u3068\u306e\u4e92\u63db\u6027\u306e\u554f\u984c\u304c\u751f\u3058\u307e\u3059\u3002\u3057\u304b\u3057\u3001 <span><a href=\"https:\/\/science-hub.click\/?p=69963\">Bjarne Stroustrup<\/a><\/span> (C++ \u8a00\u8a9e\u306e\u767a\u660e\u8005\u3067\u59d4\u54e1\u4f1a\u30e1\u30f3\u30d0\u30fc) \u306e\u767a\u8868\u306b\u3088\u308b\u3068\u3001\u65b0\u3057\u3044\u6a19\u6e96\u306f\u73fe\u5728\u306e\u6a19\u6e96\u3068\u307b\u307c 100% \u4e92\u63db\u6027\u304c\u3042\u308b\u3068\u306e\u3053\u3068\u3067\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" C++1x - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/gJsZlI-D_SM\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u6a19\u6e96\u306e\u30a2\u30c3\u30d7\u30c7\u30fc\u30c8\u3067\u4e88\u5b9a\u3055\u308c\u3066\u3044\u308b\u5909\u66f4\u70b9<\/h2><p>\u524d\u8ff0\u3057\u305f\u3088\u3046\u306b\u3001C++ \u8a00\u8a9e\u3078\u306e\u5909\u66f4\u306f\u3001\u521d\u671f\u8a00\u8a9e\u3068\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u4e21\u65b9\u306b\u914d\u7f6e\u3055\u308c\u307e\u3059\u3002<\/p><p>\u65b0\u3057\u3044\u898f\u683c\u306e\u5404\u6a5f\u80fd\u306e\u958b\u767a\u4e2d\u306b\u3001\u59d4\u54e1\u4f1a\u306f\u6b21\u306e\u30ac\u30a4\u30c9\u30e9\u30a4\u30f3\u3092\u9069\u7528\u3057\u307e\u3057\u305f\u3002<\/p><ul><li> C++98\u3001\u304a\u3088\u3073\u53ef\u80fd\u3067\u3042\u308c\u3070<span>C<\/span>\u3068\u306e\u5b89\u5b9a\u6027\u3068\u4e92\u63db\u6027\u3092\u7dad\u6301\u3057\u307e\u3059\u3002<\/li><li>\u8a00\u8a9e\u81ea\u4f53\u3092\u901a\u3058\u3066\u3067\u306f\u306a\u304f\u3001\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u901a\u3058\u3066\u65b0\u6a5f\u80fd\u3092\u5c0e\u5165\u3059\u308b\u3053\u3068\u3092\u597d\u307f\u307e\u3059\u3002<\/li><li><span><a href=\"https:\/\/science-hub.click\/?p=39632\">\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0<\/a><\/span>\u6280\u8853\u3092\u6539\u5584\u3067\u304d\u308b\u5909\u66f4\u3092\u512a\u5148\u3057\u307e\u3059\u3002<\/li><li>\u7279\u5b9a\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306b\u306e\u307f\u5f79\u7acb\u3064\u65b0\u6a5f\u80fd\u3092\u5c0e\u5165\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001C++ \u3092\u6539\u5584\u3057\u3066\u30b7\u30b9\u30c6\u30e0\u3084\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u69cb\u7bc9\u3092\u5bb9\u6613\u306b\u3057\u307e\u3059\u3002<\/li><li>\u73fe\u5728\u306e\u3001\u3080\u3057\u308d\u5b89\u5168\u3067\u306f\u306a\u3044\u3082\u306e\u306b\u5bfe\u3057\u3066\u3001\u3088\u308a\u5b89\u5168\u306a<span><a href=\"https:\/\/science-hub.click\/?p=54391\">\u4ee3\u66ff\u624b\u6bb5\u3092<\/a><\/span>\u63d0\u4f9b\u3059\u308b\u3053\u3068\u3067\u3001\u578b\u306e\u4fdd\u8b77\u3092\u5f37\u5316\u3057\u307e\u3059\u3002<\/li><li>\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3068\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u3092\u76f4\u63a5\u64cd\u4f5c\u3059\u308b\u6a5f\u80fd\u304c\u5411\u4e0a\u3057\u307e\u3059\u3002<\/li><li>\u73fe\u5728\u306e\u554f\u984c\u306b\u5bfe\u3059\u308b\u5177\u4f53\u7684\u306a\u89e3\u6c7a\u7b56\u3092\u63d0\u6848\u3057\u307e\u3059\u3002<\/li><li> \u300c\u30bc\u30ed\u30aa\u30fc\u30d0\u30fc\u30d8\u30c3\u30c9\u300d\u539f\u5247\u3092\u5b9f\u88c5\u3057\u307e\u3059\u3002<\/li><li>\u5c02\u9580\u30d7\u30ed\u30b0\u30e9\u30de\u304c\u5fc5\u8981\u3068\u3059\u308b\u6a5f\u80fd\u3092\u524a\u9664\u3059\u308b\u3053\u3068\u306a\u304f\u3001C++ \u3092\u5b66\u7fd2\u3057\u3001\u6307\u5c0e\u3057\u3084\u3059\u304f\u3057\u307e\u3059\u3002<\/li><\/ul><h2>\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u62e1\u5f35<\/h2><h3><span>\u30b9\u30ec\u30c3\u30c9\u306e\u6539\u5584<\/span><\/h3><h3><span>\u30bf\u30d7\u30eb\u306e\u578b<\/span><\/h3><p>\u30bf\u30d7\u30eb\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u56fa\u5b9a<span><a href=\"https:\/\/science-hub.click\/?p=20918\">\u6b21\u5143<\/a><\/span>\u30b3\u30ec\u30af\u30b7\u30e7\u30f3\u3067\u3059\u3002\u3059\u3079\u3066\u306e\u30bf\u30a4\u30d7\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u30bf\u30d7\u30eb\u306e\u8981\u7d20\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u65b0\u3057\u3044\u6a5f\u80fd\u306f\u65b0\u3057\u3044\u30d8\u30c3\u30c0\u30fc\u306b\u5b9f\u88c5\u3055\u308c\u3066\u304a\u308a\u3001\u6b21\u306e\u3088\u3046\u306a C++1x \u62e1\u5f35\u6a5f\u80fd\u306e\u6069\u6075\u3092\u53d7\u3051\u307e\u3059\u3002<\/p><ul><li><\/li><li>\u53c2\u7167\u306b\u53c2\u7167\u3092\u8ffd\u52a0<\/li><li>\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u95a2\u6570\u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u306e\u5f15\u6570<\/li><\/ul><p><code>tuple<\/code>\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u5316\u3055\u308c\u305f\u30af\u30e9\u30b9\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9\u306f<\/a><\/span>\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p><div dir=\"ltr\"><div><pre class=\"de1\"><span>\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8<\/span><span>&lt;<\/span><span><span><a href=\"https:\/\/science-hub.click\/?p=61666\">\u30af\u30e9\u30b9<\/a><\/span><\/span>...<span>\u30bf\u30a4\u30d7<\/span><span>&gt;<\/span><span>\u30af\u30e9\u30b9<\/span>\u30bf\u30d7\u30eb<span>;<\/span><\/pre><\/div><\/div><p> <code>tuple<\/code>\u578b\u306e\u5b9a\u7fa9\u3068\u4f7f\u7528\u306e\u4f8b:<\/p><div dir=\"ltr\"><div><pre class=\"de1\"> <span>typedef<\/span>\u30bf\u30d7\u30eb<span>&lt;<\/span> <span>int<\/span> \u3001 <span>double<\/span> \u3001 <span>long<\/span> <span>&amp;<\/span> \u3001 <span>const<\/span> <span>char<\/span> <span>*<\/span> <span>&gt;<\/span> test_tuple <span>;<\/span><span>\u9577\u3044<\/span>\u9577\u3044<span>=<\/span> 12 <span>;<\/span> test_tuple \u8a3c\u660e<span>(<\/span> <span>18<\/span> , <span>6.5<\/span> , \u9577\u3044, <span>\"Ciao!\"<\/span> <span>)<\/span> <span>;<\/span> lengthy <span>=<\/span> get <span>&lt;<\/span> 0 <span>&gt;<\/span> <span>(<\/span>\u8a3c\u660e<span>)<\/span> <span>;<\/span> <span>\/\/ 'longy' \u3092 18 \u306b\u8a2d\u5b9a\u3057\u307e\u3059\u3002<\/span> get <span>&lt;<\/span> <span>3<\/span> <span>&gt;<\/span> <span>(<\/span> proof <span>)<\/span> <span>=<\/span> <span>\"\u7f8e\u3057\u3044!\"<\/span> <span>;<\/span> <span>\/\/ \u30bf\u30d7\u30eb\u306e 4 \u756a\u76ee\u306e\u5024\u3092\u5909\u66f4\u3057\u307e\u3059<\/span><\/pre><\/div><\/div><p>\u30bf\u30d7\u30eb\u306e\u8981\u7d20\u306b\u30c7\u30d5\u30a9\u30eb\u30c8\u306e\u30b3\u30f3\u30b9\u30c8\u30e9\u30af\u30bf\u30fc\u304c\u3042\u308b\u5834\u5408\u3001\u305d\u306e\u5185\u5bb9\u3092\u5b9a\u7fa9\u305b\u305a\u306b<code>proof<\/code>\u30bf\u30d7\u30eb\u3092\u4f5c\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30bf\u30d7\u30eb\u3092\u5225\u306e\u30bf\u30d7\u30eb\u306b\u5272\u308a\u5f53\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u30022 \u3064\u306e\u30bf\u30d7\u30eb\u304c\u540c\u3058\u578b\u306e\u5834\u5408\u3001\u30bf\u30d7\u30eb\u306e\u5404\u8981\u7d20\u304c\u30b3\u30d4\u30fc\u3054\u3068\u306b\u30b3\u30f3\u30b9\u30c8\u30e9\u30af\u30bf\u3092\u6301\u3064\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u308c\u4ee5\u5916\u306e\u5834\u5408\u306f\u3001\u30bf\u30d7\u30eb\u306e\u5404\u8981\u7d20\u306e\u578b\u304c\u540c\u3058\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u30bf\u30d7\u30eb &#8216; \u53f3<span><a href=\"https:\/\/science-hub.click\/?p=25196\">\u30aa\u30da\u30e9\u30f3\u30c9\u304c<\/a><\/span>\u5de6\u30aa\u30da\u30e9\u30f3\u30c9\u306e\u5bfe\u5fdc\u3059\u308b\u578b\u3068\u4e92\u63db\u6027\u304c\u3042\u308b\u304b\u3001\u5de6\u30aa\u30da\u30e9\u30f3\u30c9\u306e\u5bfe\u5fdc\u3059\u308b\u8981\u7d20\u306b\u9069\u5207\u306a\u30b3\u30f3\u30b9\u30c8\u30e9\u30af\u30bf\u30fc\u304c\u3042\u308b\u3053\u3068\u3002<\/p><div dir=\"ltr\"><div><pre class=\"de1\"> <span>typedef<\/span>\u30bf\u30d7\u30eb<span>&lt;<\/span> <span>int<\/span> \u3001 <span>double<\/span> \u3001 string <span>&gt;<\/span> tuple_1 t1 <span>;<\/span> <span>typedef<\/span>\u30bf\u30d7\u30eb<span>&lt;<\/span> <span>char<\/span> , <span>short<\/span> , <span>const<\/span> <span>char<\/span> <span>*<\/span> <span>&gt;<\/span> tuple_2 t2 <span>(<\/span> <span>'X'<\/span> , <span>2<\/span> , <span>\"Hola!\"<\/span> <span>)<\/span> <span>;<\/span> t1 <span>=<\/span> t2 <span>;<\/span> <span>\/\/ \u308f\u304b\u308a\u307e\u3057\u305f\u3002\u6700\u521d\u306e 2 \u3064\u306e\u8981\u7d20\u306f\u5909\u63db\u3067\u304d\u307e\u3059<\/span><span>\u3002 \/\/ 3 \u756a\u76ee\u306e\u8981\u7d20\u306f 'const char *' \u304b\u3089\u69cb\u7bc9\u3067\u304d\u307e\u3059\u3002<\/span><\/pre><\/div><\/div><p>\u95a2\u4fc2\u6f14\u7b97\u5b50\u304c\u4f7f\u7528\u53ef\u80fd\u3067\u3059 (\u540c\u3058<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u6570<\/a><\/span>\u306e\u8981\u7d20\u3092\u6301\u3064\u30bf\u30d7\u30eb\u306e\u5834\u5408)\u3002\u30bf\u30d7\u30eb\u306e\u7279\u6027\u3092 (\u30b3\u30f3\u30d1\u30a4\u30eb\u6642\u306b) \u30c1\u30a7\u30c3\u30af\u3059\u308b\u305f\u3081\u306b 2 \u3064\u306e\u5f0f\u304c\u5c0e\u5165\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p><ul><li> <code>tuple_size ::value<\/code><t> <code>tuple_size ::value<\/code><\/t>\u30bf\u30d7\u30eb<code>T<\/code>\u306e\u8981\u7d20\u306e\u6570\u3092\u8fd4\u3057\u307e\u3059\u3002<\/li><li> <code>tuple_element ::type<\/code><i, t=\"\"> <code>tuple_element ::type<\/code><\/i,>\u30bf\u30d7\u30eb<code>T<\/code>\u306e\u4f4d\u7f6e<code>I<\/code>\u306b\u914d\u7f6e\u3055\u308c\u305f<span>\u30aa\u30d6\u30b8\u30a7\u30af\u30c8<\/span>\u306e\u30bf\u30a4\u30d7\u3092\u8fd4\u3057\u307e\u3059\u3002<\/li><\/ul><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" C++1x - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/wAwVmQSaiuk\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=13048\">\u30cf\u30c3\u30b7\u30e5\u30c6\u30fc\u30d6\u30eb<\/a><\/span><\/span><\/h3><p>\u30cf\u30c3\u30b7\u30e5 \u30c6\u30fc\u30d6\u30eb (\u9806\u5e8f\u4ed8\u3051\u3055\u308c\u3066\u3044\u306a\u3044\u9023\u60f3\u30b3\u30f3\u30c6\u30ca) \u3092 C++ \u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u306b\u7d71\u5408\u3059\u308b\u3053\u3068\u306f\u3001\u6700\u3082\u7e70\u308a\u8fd4\u3057\u884c\u308f\u308c\u308b\u30ea\u30af\u30a8\u30b9\u30c8\u306e 1 \u3064\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u6642\u9593\u306e\u5236\u7d04\u306b\u3088\u308a\u3001\u73fe\u5728\u306e\u898f\u683c (1995 \u5e74\u306b\u4f5c\u6210\u3055\u308c 1998 \u5e74\u306b\u627f\u8a8d\u3055\u308c\u305f\u898f\u683c) \u3067\u306f\u884c\u308f\u308c\u3066\u3044\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u3053\u306e\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u306f\u3001\u6700\u60aa\u306e\u5834\u5408 (\u5927\u898f\u6a21\u306a\u885d\u7a81\u306e\u5834\u5408) \u306b\u306f\u30d0\u30e9\u30f3\u30b9 \u30c4\u30ea\u30fc\u3088\u308a\u3082\u52b9\u7387\u304c\u52a3\u308a\u307e\u3059\u304c\u3001\u305d\u308c\u3067\u3082\u3001\u307b\u3068\u3093\u3069\u306e\u73fe\u5b9f\u4e16\u754c\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306f\u6700\u9069\u3067\u3059\u3002<\/p><p>\u59d4\u54e1\u4f1a\u306f\u3001(\u7279\u306b\u8981\u7d20\u306e\u524a\u9664\u304c\u8a31\u53ef\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u306b) \u591a\u6570\u306e\u672c\u8cea\u7684\u306a\u554f\u984c\u3092\u5f15\u304d\u8d77\u3053\u3059\u30aa\u30fc\u30d7\u30f3 \u30a2\u30c9\u30ec\u30c3\u30b7\u30f3\u30b0 \u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3092\u6a19\u6e96\u5316\u3059\u308b\u3053\u3068\u306f\u9069\u5207\u3067\u306f\u306a\u3044\u3068\u8003\u3048\u3066\u3044\u308b\u305f\u3081\u3001\u885d\u7a81\u306f\u7dda\u5f62\u9023\u9396\u306b\u3088\u3063\u3066\u306e\u307f\u51e6\u7406\u3055\u308c\u307e\u3059\u3002\u72ec\u81ea\u306e\u30cf\u30c3\u30b7\u30e5 \u30c6\u30fc\u30d6\u30eb<span><a href=\"https:\/\/science-hub.click\/?p=62923\">\u5b9f\u88c5<\/a><\/span>\u3092\u6301\u3064\u975e\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u3068\u306e\u540d\u524d\u306e\u7af6\u5408\u3092\u907f\u3051\u308b\u305f\u3081\u306b\u3001 <code>hash<\/code>\u306e\u4ee3\u308f\u308a\u306b\u63a5\u982d\u8f9e<code>unordered<\/code>\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/p><p>\u3053\u306e\u65b0\u6a5f\u80fd\u3067\u306f\u3001\u540c\u3058\u30ad\u30fc\u306e\u8981\u7d20 (\u4e00\u610f\u306e\u30ad\u30fc\u307e\u305f\u306f\u540c\u7b49\u306e\u30ad\u30fc) \u3092\u53d7\u3051\u5165\u308c\u308b\u304b\u3069\u3046\u304b\u3001\u304a\u3088\u3073\u5404\u30ad\u30fc\u3092\u95a2\u9023\u3059\u308b\u5024\u306b\u95a2\u9023\u4ed8\u3051\u308b\u304b\u3069\u3046\u304b\u306b\u3088\u3063\u3066\u7570\u306a\u308b 4 \u7a2e\u985e\u306e\u30cf\u30c3\u30b7\u30e5 \u30c6\u30fc\u30d6\u30eb\u304c\u7d71\u5408\u3055\u308c\u307e\u3059\u3002<\/p><table><tr><th>\u30cf\u30c3\u30b7\u30e5\u30c6\u30fc\u30d6\u30eb\u306e\u7a2e\u985e<\/th><th>\u4efb\u610f\u306e\u95a2\u9023\u578b<\/th><th>\u540c\u7b49\u306e\u30ad\u30fc<\/th><\/tr><tr><th>\u9806\u5e8f\u306a\u3057\u30bb\u30c3\u30c8<\/th><\/tr><tr><th>unowned_multiset<\/th><td align=\"center\"> <big><big><big><big><big>\u2022<\/big><\/big><\/big><\/big><\/big><\/td><\/tr><tr><th>\u9806\u5e8f\u306a\u3057\u30de\u30c3\u30d7<\/th><td align=\"center\"><big><big><big><big><big>\u2022<\/big><\/big><\/big><\/big><\/big><\/td><\/tr><tr><th> unowned_multimap<\/th><td align=\"center\"> <big><big><big><big><big>\u2022<\/big><\/big><\/big><\/big><\/big><\/td><td align=\"center\"> <big><big><big><big><big>\u2022<\/big><\/big><\/big><\/big><\/big><\/td><\/tr><\/table><p>\u3053\u308c\u3089\u306e\u65b0\u3057\u3044\u30af\u30e9\u30b9\u306f\u3001\u30b3\u30f3\u30c6\u30ca \u30af\u30e9\u30b9\u306e\u3059\u3079\u3066\u306e\u30ea\u30af\u30a8\u30b9\u30c8\u3092\u6e80\u305f\u3057\u3001\u8981\u7d20\u306b\u30a2\u30af\u30bb\u30b9\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u3059\u3079\u3066\u306e\u30e1\u30bd\u30c3\u30c9<code>insert<\/code> \u3001 <code>erase<\/code> \u3001 <code>begin<\/code> \u3001 <code>end<\/code>\u3092\u542b\u307f\u307e\u3059\u3002<\/p><p>\u3053\u308c\u3089\u306e\u30af\u30e9\u30b9\u306f C++ \u8a00\u8a9e\u306e\u65b0\u3057\u3044\u62e1\u5f35\u3092\u5fc5\u8981\u3068\u3057\u307e\u305b\u3093\u3067\u3057\u305f\u304c\u3001\u30d8\u30c3\u30c0\u30fc\u3092\u308f\u305a\u304b\u306b\u62e1\u5f35\u3059\u308b\u3060\u3051\u3067\u6e08\u307f\u307e\u3057\u305f\u3002<functional><\/functional>\u305d\u3057\u3066\u30d8\u30c3\u30c0\u30fc\u306e\u5c0e\u5165<unordered_set><\/unordered_set>\u305d\u3057\u3066<unordered_map><\/unordered_map>\u3002\u73fe\u5728\u306e\u6a19\u6e96\u30af\u30e9\u30b9\u3092\u3055\u3089\u306b\u5909\u66f4\u3059\u308b\u5fc5\u8981\u306f\u306a\u304f\u3001\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u4ed6\u306e\u62e1\u5f35\u6a5f\u80fd\u306b\u3082\u4f9d\u5b58\u3057\u307e\u305b\u3093\u3002<\/p><h3><span>\u6b63\u898f\u8868\u73fe<\/span><\/h3><h3><span>\u4e00\u822c\u7684\u306a\u300c<span>\u30b9\u30de\u30fc\u30c8<\/span>\u30dd\u30a4\u30f3\u30bf\u30fc\u300d<\/span><\/h3><h3><span>\u62e1\u5f35\u53ef\u80fd\u306a\u4e71\u6570\u306e\u6539\u5584<\/span><\/h3><p><span><a href=\"https:\/\/science-hub.click\/?p=46504\">\u6a19\u6e96 C \u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u306f\u3001<\/a><\/span> <code>rand<\/code>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u64ec\u4f3c\u4e71\u6570\u3092\u751f\u6210\u3067\u304d\u307e\u3059\u3002\u751f\u6210\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u6a19\u6e96\u5316\u3055\u308c\u3066\u304a\u3089\u305a\u3001\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u30b5\u30d7\u30e9\u30a4\u30e4\u30fc\u306e\u9078\u629e\u306b\u4efb\u3055\u308c\u3066\u3044\u307e\u3059\u3002 C++ \u306b\u306f\u4f55\u3082\u5909\u66f4\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001C++1x \u3067\u306f\u7591\u4f3c\u4e71\u6570\u3092\u751f\u6210\u3059\u308b<span><a href=\"https:\/\/science-hub.click\/?p=28052\">\u5225\u306e<\/a><\/span>\u65b9\u6cd5\u304c\u63d0\u4f9b\u3055\u308c\u307e\u3059\u3002<\/p><p>\u3053\u306e\u6a5f\u80fd\u306f\u3001\u4e71\u6570\u751f\u6210\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u5f62\u6210\u3059\u308b 2 \u3064\u306e\u90e8\u5206\u306b\u5206\u304b\u308c\u3066\u3044\u307e\u3059\u3002<\/p><ul><li>\u751f\u6210<span><a href=\"https:\/\/science-hub.click\/?p=75485\">\u30a8\u30f3\u30b8\u30f3<\/a><\/span>\u3002\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc\u306e\u72b6\u614b\u304c\u542b\u307e\u308c\u3001\u64ec\u4f3c\u4e71\u6570\u3092\u751f\u6210\u3057\u307e\u3059\u3002<\/li><li>\u7d50\u679c\u304c\u53d6\u308a\u5f97\u308b\u5024\u3068\u305d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74977\">\u78ba\u7387\u6cd5\u5247<\/a><\/span>\u3092\u6c7a\u5b9a\u3059\u308b\u5206\u5e03<\/li><\/ul><p>C++1x \u3067\u306f 3 \u3064\u306e\u751f\u6210\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u304a\u308a\u3001\u305d\u308c\u305e\u308c\u306b\u9577\u6240\u3068\u77ed\u6240\u304c\u3042\u308a\u307e\u3059\u3002<\/p><table><tr><th>\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8<\/th><th>\u6574\u6570\/\u6d6e\u52d5\u5c0f\u6570\u70b9<\/th><th>\u54c1\u8cea<\/th><th><span><a href=\"https:\/\/science-hub.click\/?p=31634\">\u30b9\u30d4\u30fc\u30c9<\/a><\/span><\/th><th>\u72b6\u614b\u30b5\u30a4\u30ba<\/th><\/tr><tr><th><code>linear_congruential<\/code><\/th><td align=\"center\">\u5168\u4f53<\/td><td align=\"center\"><span><a href=\"https:\/\/science-hub.click\/?p=87799\">\u5e73\u5747<\/a><\/span><\/td><td align=\"center\">\u5e73\u5747<\/td><td align=\"center\">1<\/td><\/tr><tr><th> <code><span title=\"\u30ad\u30e3\u30ea\u30fc\u4ed8\u304d\u6e1b\u7b97\uff08\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u306a\u3044\uff09\">subtract_with_carry<\/span><\/code><\/th><td align=\"center\">\u4e21\u65b9<\/td><td align=\"center\">\u5e73\u5747<\/td><td align=\"center\">\u901f\u3044<\/td><td align=\"center\">25<\/td><\/tr><tr><th> <code>mersenne_twister<\/code><\/th><td align=\"center\">\u5168\u4f53<\/td><td align=\"center\">\u826f\u3044<\/td><td align=\"center\">\u901f\u3044<\/td><td align=\"center\">624<\/td><\/tr><\/table><p> C++1x \u306f\u3001 <code>uniform_int_distribution<\/code> \u3001 <code>bernoulli_distribution<\/code> \u3001 <code>geometric_distribution<\/code> \u3001 <code>poisson_distribution<\/code> \u3001 <code>binomial_distribution<\/code> \u3001 <code>uniform_real_distribution<\/code> \u3001 <code>exponential_distribution<\/code> \u3001 <code>normal_distribution<\/code> \u3001 <code>gamma_distribution<\/code>\u306a\u3069\u306e\u6a19\u6e96\u5206\u5e03\u3092\u591a\u6570\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p><p>\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc\u3068\u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3\u306f\u3001\u6b21\u306e\u4f8b\u306e\u3088\u3046\u306b\u7d50\u5408\u3055\u308c\u307e\u3059\u3002<\/p><div dir=\"ltr\"><div><pre class=\"de1\"> <span>std<\/span> <span>::<\/span> <span>uniform_int_distribution<\/span> <span>&lt;int&gt;<\/span><span>\u5206\u5e03<\/span><span>(<\/span> 0.99 <span>)<\/span> <span>;<\/span> std <span>::<\/span> <span>mt19937\u30a8\u30f3\u30b8\u30f3<\/span><span>;<\/span><span>\u81ea\u52d5<\/span>\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc<span>=<\/span> std <span>::<\/span><span>\u30d0\u30a4\u30f3\u30c9<\/span><span>(<\/span>\u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3\u3001\u30a8\u30f3\u30b8\u30f3<span>)<\/span> <span>;<\/span> <span>int<\/span>\u30e9\u30f3\u30c0\u30e0<span>=<\/span>\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc<span>(<\/span> <span>)<\/span> <span>;<\/span> <span>\/\/ 0 \uff5e 99 \u306e\u9593\u306e\u4e00\u69d8\u7a4d\u5206\u5909\u91cf\u3092\u751f\u6210\u3057\u307e\u3059\u3002<\/span><\/pre><\/div><\/div><h3><span>\u7279\u6b8a\u306a\u6570\u5b66\u95a2\u6570<\/span><\/h3><p>\u30d8\u30c3\u30c0\u30fc<span>\u30d5\u30a1\u30a4\u30eb<\/span><math><\/math>\u306f\u3059\u3067\u306b\u3044\u304f\u3064\u304b\u306e\u4e00\u822c\u7684\u306a\u6570\u5b66\u95a2\u6570\u3092\u5b9a\u7fa9\u3057\u3066\u3044\u307e\u3059\u3002<\/p><ul><li><b>\u4e09\u89d2\u95a2\u6570<\/b>: <code>sin<\/code> \u3001 <code>cos<\/code> \u3001 <code>tan<\/code> \u3001 <code>asin<\/code> \u3001 <code>acos<\/code> \u3001 <code>atan<\/code> \u3001 <code>atan2<\/code> ;<\/li><li><b>\u53cc\u66f2\u7dda<\/b>: <code>sinh<\/code> \u3001 <code>cosh<\/code> \u3001 <code>tanh<\/code> \u3001 <code>asinh<\/code> \u3001 <code>acosh<\/code> \u3001 <code>atanh<\/code> ;<\/li><li><b>\u6307\u6570\u95a2\u6570<\/b>: <code>exp<\/code> \u3001 <code>exp2<\/code> \u3001 <code>frexp<\/code> \u3001 <code>ldexp<\/code> \u3001 <code>expm1<\/code> ;<\/li><li><b>\u5bfe\u6570<\/b>: <code>log10<\/code> \u3001 <code>log2<\/code> \u3001 <code>logb<\/code> \u3001 <code>ilogb<\/code> \u3001 <code>log1p<\/code> ;<\/li><li><b>\u3079\u304d\u4e57<\/b>: <code>pow<\/code> \u3001 <code>sqrt<\/code> \u3001 <code>cbrt<\/code> \u3001 <code>hypot<\/code> ;<\/li><li><b>\u7279\u6b8a<\/b>: <code>erf<\/code> \u3001 <code>erfc<\/code> \u3001 <code>tgamma<\/code> \u3001 <code>lgamma<\/code> \u3002<\/li><\/ul><p>\u59d4\u54e1\u4f1a\u306f\u3001\u73fe\u5728\u975e\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u4f7f\u7528\u3092\u5fc5\u8981\u3068\u3059\u308b\u65b0\u3057\u3044\u95a2\u6570\u3092\u8ffd\u52a0\u3059\u308b\u3053\u3068\u3092\u6c7a\u5b9a\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u306e\u65b0\u3057\u3044\u6a5f\u80fd\u306f\u3001\u4e3b\u306b<span><a href=\"https:\/\/science-hub.click\/?p=87911\">\u79d1\u5b66<\/a><\/span>\u5206\u91ce\u306e\u30d7\u30ed\u30b0\u30e9\u30de\u3084<span>\u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0<\/span>\u306b\u3068\u3063\u3066\u8208\u5473\u6df1\u3044\u3082\u306e\u3068\u306a\u308b\u3067\u3057\u3087\u3046\u3002<\/p><p>\u6b21\u306e<span><a href=\"https:\/\/science-hub.click\/?p=26304\">\u8868\u306f<\/a><\/span>\u3001TR1 \u306b\u8a18\u8ff0\u3055\u308c\u3066\u3044\u308b 23 \u306e\u95a2\u6570\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p><table><tr><th>\u95a2\u6570\u540d<\/th><th>\u95a2\u6570\u30d7\u30ed\u30c8\u30bf\u30a4\u30d7<\/th><th><span><a href=\"https:\/\/science-hub.click\/?p=66499\">\u6570\u5b66\u7684<\/a><\/span>\u8868\u73fe<\/th><\/tr><tr><th>\u4e00\u822c\u5316\u30e9\u30b2\u30fc\u30eb\u591a\u9805\u5f0f<\/th><td>double <b>assoc_laguerre<\/b> (\u7b26\u53f7\u306a\u3057 n\u3001\u7b26\u53f7\u306a\u3057 m\u3001double x); <\/td><td><div class=\"math-formual notranslate\">$$ {{L_n}^m(x) = (-1)^m \\frac{d^m}{dx^m} L_{n+m}(x), \\text{ pour } x \\ge 0} $$<\/div><\/td><\/tr><tr><th>\u4e00\u822c\u5316<span><a href=\"https:\/\/science-hub.click\/?p=40990\">\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f<\/a><\/span><\/th><td>double <b>assoc_legendre<\/b> (\u7b26\u53f7\u306a\u3057 l\u3001\u7b26\u53f7\u306a\u3057 m\u3001double x); <\/td><td><div class=\"math-formual notranslate\">$$ {{P_l}^m(x) = (1-x^2)^{m\/2} \\frac{d^m}{dx^m} P_l(x), \\text{ pour } x \\ge 0} $$<\/div><\/td><\/tr><tr><th>\u30d9\u30fc\u30bf\u95a2\u6570<\/th><td>\u30c0\u30d6\u30eb<b>\u30d9\u30fc\u30bf<\/b>(\u30c0\u30d6\u30eb x\u3001\u30c0\u30d6\u30eb y); <\/td><td><div class=\"math-formual notranslate\">$$ {B(x,y)=\\frac{\\Gamma(x) \\Gamma(y)}{\\Gamma(x+y)}} $$<\/div><\/td><\/tr><tr><th><span title=\"\u7b2c\u4e00\u7a2e\u5b8c\u5168\u6955\u5186\u7a4d\u5206 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u306a\u3044)\">\u7b2c\u4e00\u7a2e\u5b8c\u5168<span><a href=\"https:\/\/science-hub.click\/?p=24759\">\u6955\u5186\u7a4d\u5206<\/a><\/span><\/span><\/th><td>\u30c0\u30d6\u30eb<b>comp_ellint_1<\/b> (\u30c0\u30d6\u30eb k ); <\/td><td><div class=\"math-formual notranslate\">$$ {K(k) = F\\left(k, \\textstyle \\frac{\\pi}{2}\\right) = \\int_0^{\\frac{\\pi}{2}} \\frac{d\\theta}{\\sqrt{1 &#8211; k^2 \\sin^2 \\theta}}} $$<\/div><\/td><\/tr><tr><th><span title=\"\u7b2c 2 \u7a2e\u5b8c\u5168\u6955\u5186\u7a4d\u5206 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u306a\u3044)\">\u7b2c 2 \u7a2e\u5b8c\u5168\u6955\u5186<span><a href=\"https:\/\/science-hub.click\/?p=8542\">\u7a4d\u5206<\/a><\/span><\/span><\/th><td>\u30c0\u30d6\u30eb<b>comp_ellint_2<\/b> (\u30c0\u30d6\u30eb k ); <\/td><td><div class=\"math-formual notranslate\">$$ {E\\left(k, \\textstyle \\frac{\\pi}{2}\\right) = \\int_0^{\\frac{\\pi}{2}} \\sqrt{1 &#8211; k^2 \\sin^2 \\theta}\\; d\\theta} $$<\/div><\/td><\/tr><tr><th><span title=\"\u7b2c 3 \u7a2e\u5b8c\u5168\u6955\u5186\u7a4d\u5206 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u7b2c 3 \u7a2e\u5b8c\u5168\u6955\u5186\u7a4d\u5206<\/span><\/th><td>double <b>comp_ellint_3<\/b> (double k\u3001double nu); <\/td><td><div class=\"math-formual notranslate\">$$ {\\Pi\\left(\\nu, k, \\textstyle \\frac{\\pi}{2}\\right) = \\int_0^{\\frac{\\pi}{2}} \\frac{d\\theta}{(1 &#8211; \\nu \\sin^2 \\theta)\\sqrt{1 &#8211; k^2 \\sin^2 \\theta}}} $$<\/div><\/td><\/tr><tr><th><span title=\"\u5408\u6d41\u3059\u308b\u8d85\u5e7e\u4f55\u95a2\u6570 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u5408\u6d41\u3059\u308b\u8d85\u5e7e\u4f55\u95a2\u6570<\/span><\/th><td>double <b>conf_hyperg<\/b> (\u30c0\u30d6\u30eb a\u3001\u30c0\u30d6\u30eb c\u3001\u30c0\u30d6\u30eb x); <\/td><td><div class=\"math-formual notranslate\">$$ {F(a, c, x) = \\frac{\\Gamma(c)}{\\Gamma(a)} \\sum_{n = 0}^\\infty \\frac{\\Gamma(a + n) x^n}{\\Gamma(c + n) n!}} $$<\/div><\/td><\/tr><tr><th><span title=\"\u901a\u5e38\u306e\u4fee\u6b63\u5186\u7b52\u30d9\u30c3\u30bb\u30eb\u95a2\u6570 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u6b63\u898f\u306e\u4fee\u6b63\u5186\u7b52\u30d9\u30c3\u30bb\u30eb\u95a2\u6570<\/span><\/th><td>double <b>cyl_bessel_i<\/b> (\u30c0\u30d6\u30eb\u30d9\u30a2\u3001\u30c0\u30d6\u30eb x); <\/td><td><div class=\"math-formual notranslate\">$$ {I_\\nu(x) = i^{-\\nu} J_\\nu(ix) = \\sum_{k = 0}^\\infty \\frac{(x\/2)^{\\nu + 2k}}{k! \\; \\Gamma(\\nu + k + 1)}, \\text{ pour } x \\ge 0} $$<\/div><\/td><\/tr><tr><th><span title=\"\u7b2c\u4e00\u7a2e\u5186\u7b52\u30d9\u30c3\u30bb\u30eb\u95a2\u6570 (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u7b2c\u4e00\u7a2e\u5186\u7b52\u30d9\u30c3\u30bb\u30eb\u95a2\u6570<\/span><\/th><td>double <b>cyl_bessel_j<\/b> (\u30c0\u30d6\u30eb\u30d9\u30a2\u3001\u30c0\u30d6\u30eb x); <\/td><td><div class=\"math-formual notranslate\">$$ {J_\\nu(x) = \\sum_{k = 0}^\\infty \\frac{(-1)^k \\; (x\/2)^{\\nu + 2k}}{k! \\; \\Gamma(\\nu + k + 1)}, \\text{ pour } x \\ge 0} $$<\/div><\/td><\/tr><tr><th><span title=\"\u4e0d\u898f\u5247\u4fee\u6b63\u5186\u7b52\u30d9\u30c3\u30bb\u30eb\u95a2\u6570 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u4e0d\u898f\u5247\u4fee\u6b63\u5186\u7b52\u30d9\u30c3\u30bb\u30eb\u95a2\u6570<\/span><\/th><td>double <b>cyl_bessel_k<\/b> (\u30c0\u30d6\u30eb\u30d9\u30a2\u3001\u30c0\u30d6\u30eb x); <\/td><td><div class=\"math-formual notranslate\">$$ {\\begin{align} K_\\nu(x) &amp; = \\textstyle\\frac{\\pi}{2} i^{\\nu+1} \\big(J_\\nu(ix) + i N_\\nu(ix)\\big) \\\\          &amp; = \\begin{cases}                  \\displaystyle \\frac{I_{-\\nu}(x) &#8211; I_\\nu(x)}{\\sin \\nu\\pi}, &amp; \\text{ pour } x \\ge 0 \\text{ et } \\nu \\notin \\mathbb{Z} \\\\[10pt]                  \\displaystyle \\frac{\\pi}{2} \\lim_{\\mu \\to \\nu} \\frac{I_{-\\mu}(x) &#8211; I_\\mu(x)}{\\sin \\mu\\pi}, &amp; \\text{ pour } x &lt; 0 \\text{ et } \\nu \\in \\mathbb{Z} \\\\              \\end{cases} \\end{align}} $$<\/div><\/td><\/tr><tr><th><span title=\"\u5186\u7b52\u30ce\u30a4\u30de\u30f3\u95a2\u6570 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u5186\u7b52\u30ce\u30a4\u30de\u30f3\u95a2\u6570<\/span><p><span title=\"\u7b2c 2 \u7a2e\u5186\u7b52\u30d9\u30c3\u30bb\u30eb\u95a2\u6570 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u7b2c 2 \u7a2e\u5186\u7b52\u30d9\u30c3\u30bb\u30eb\u95a2\u6570<\/span><\/p><\/th><td>double <b>cyl_neumann<\/b> (\u30c0\u30d6\u30eb\u30cd\u30a4\u30ad\u30c3\u30c9\u3001\u30c0\u30d6\u30eb x); <\/td><td><div class=\"math-formual notranslate\">$$ { N_\\nu(x) = \\begin{cases}                  \\displaystyle \\frac{J_\\nu(x)\\cos \\nu\\pi &#8211; J_{-\\nu}(x)}{\\sin \\nu\\pi}, &amp; \\text{ pour } x \\ge 0 \\text{ et } \\nu \\notin \\mathbb{Z} \\\\[10pt]                  \\displaystyle \\lim_{\\mu \\to \\nu} \\frac{J_\\mu(x)\\cos \\mu\\pi &#8211; J_{-\\mu}(x)}{\\sin \\mu\\pi}, &amp; \\text{ pour } x &lt; 0 \\text{ et } \\nu \\in \\mathbb{Z} \\\\              \\end{cases} } $$<\/div><\/td><\/tr><tr><th><span title=\"\u7b2c\u4e00\u7a2e\u4e0d\u5b8c\u5168\u6955\u5186\u7a4d\u5206\uff08\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u306a\u3044\uff09\">\u7b2c\u4e00\u7a2e\u4e0d\u5b8c\u5168\u6955\u5186\u7a4d\u5206<\/span><\/th><td>double <b>ellint_1<\/b> (double k\u3001double <span><a href=\"https:\/\/science-hub.click\/?p=23448\">phi<\/a><\/span> ); <\/td><td><div class=\"math-formual notranslate\">$$ {F(k,\\phi)=\\int_0^\\phi\\frac{d\\theta}{\\sqrt{1-k^2\\sin^2\\theta}}, \\text{ pour } \\left|k\\right| \\le 1} $$<\/div><\/td><\/tr><tr><th><span title=\"\u7b2c\u4e8c\u7a2e\u4e0d\u5b8c\u5168\u6955\u5186\u7a4d\u5206\uff08\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u306a\u3044\uff09\">\u7b2c 2 \u7a2e\u4e0d\u5b8c\u5168\u6955\u5186\u7a4d\u5206<\/span><\/th><td>double <b>ellint_2<\/b> (\u30c0\u30d6\u30eb k\u3001\u30c0\u30d6\u30eb \u30d5\u30a1\u30a4); <\/td><td><div class=\"math-formual notranslate\">$$ {\\displaystyle E(k,\\phi)=\\int_0^\\phi\\sqrt{1-k^2\\sin^2\\theta}d\\theta, \\text{ pour } \\left|k\\right| \\le 1} $$<\/div><\/td><\/tr><tr><th><span title=\"\u7b2c 3 \u7a2e\u4e0d\u5b8c\u5168\u6955\u5186\u7a4d\u5206 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u306a\u3044)\">\u7b2c 3 \u7a2e\u4e0d\u5b8c\u5168\u6955\u5186\u7a4d\u5206<\/span><\/th><td>double <b>ellint_3<\/b> (\u30c0\u30d6\u30eb k\u3001\u30c0\u30d6\u30eb nu\u3001\u30c0\u30d6\u30eb \u30d5\u30a1\u30a4); <\/td><td><div class=\"math-formual notranslate\">$$ {\\Pi(k,\\nu,\\phi)=\\int_0^\\phi\\frac{d\\theta}{\\left(1-\\nu\\sin^2\\theta\\right)\\sqrt{1-k^2\\sin^2\\theta}}, \\text{ pour } \\left|k\\right| \\le 1} $$<\/div><\/td><\/tr><tr><th><span><a href=\"https:\/\/science-hub.click\/?p=37668\">\u6307\u6570<\/a><\/span>\u7a4d\u5206<\/th><td>\u30c0\u30d6\u30eb<b>\u30a8\u30af\u30b9\u30d7\u30ea\u30f3\u30c8<\/b>(\u30c0\u30d6\u30eb x); <\/td><td><div class=\"math-formual notranslate\">$$ { \\mbox{E}i(x)=-\\int_{-x}^{\\infty} \\frac{e^{-t}}{t}\\, dt} $$<\/div><\/td><\/tr><tr><th>\u30a8\u30eb\u30df\u30fc\u30c8\u591a\u9805\u5f0f<\/th><td>\u30c0\u30d6\u30eb<b>\u96a0\u8005<\/b>(\u7b26\u53f7\u306a\u3057 n\u3001\u30c0\u30d6\u30eb x); <\/td><td><div class=\"math-formual notranslate\">$$ {H_n(x)=(-1)^n e^{x^2}\\frac{d^n}{dx^n}e^{-x^2}\\,\\!} $$<\/div><\/td><\/tr><tr><th>\u8d85\u5e7e\u4f55\u7d1a\u6570<\/th><td>\u30c0\u30d6\u30eb<b>\u30cf\u30a4\u30d1\u30fcg<\/b> (\u30c0\u30d6\u30eba\u3001\u30c0\u30d6\u30ebb\u3001\u30c0\u30d6\u30ebc\u3001\u30c0\u30d6\u30ebx); <\/td><td><div class=\"math-formual notranslate\">$$ {F(a,b,c,x)=\\frac{\\Gamma(c)}{\\Gamma(a)\\Gamma(b)}\\sum_{n = 0}^\\infty\\frac{\\Gamma(a+n)\\Gamma(b+n)}{\\Gamma(c+n)}\\frac{x^n}{n!}} $$<\/div><\/td><\/tr><tr><th>\u30e9\u30b2\u30fc\u30eb\u591a\u9805\u5f0f<\/th><td>\u30c0\u30d6\u30eb<b>\u30e9\u30b2\u30fc\u30eb<\/b>(\u7b26\u53f7\u306a\u3057 n\u3001\u30c0\u30d6\u30eb x); <\/td><td><div class=\"math-formual notranslate\">$$ {L_n(x)=\\frac{e^x}{n!}\\frac{d^n}{dx^n}\\left(x^n e^{-x}\\right), \\text{ pour } x \\ge 0} $$<\/div><\/td><\/tr><tr><th>\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f<\/th><td>double <b>legendre<\/b> (\u7b26\u53f7\u306a\u3057 l\u3001double x); <\/td><td><div class=\"math-formual notranslate\">$$ {P_l(x) = {1 \\over 2^l l!} {d^l \\over dx^l } (x^2 -1)^l, \\text{ pour } \\left|x\\right| \\le 1 } $$<\/div><\/td><\/tr><tr><th> <span><a href=\"https:\/\/science-hub.click\/?p=15788\">\u30ea\u30fc\u30de\u30f3\u30bc\u30fc\u30bf\u95a2\u6570<\/a><\/span><\/th><td>\u30c0\u30d6\u30eb<b>\u30ea\u30fc\u30de\u30f3\u30bc\u30fc\u30bf<\/b>(\u30c0\u30d6\u30eb x); <\/td><div class=\"math-formual notranslate\">$$ { \\Zeta(x) =            \\begin{cases}                  \\displaystyle \\sum_{k = 1}^\\infty k^{-x}, &amp; \\text{ pour } x &gt; 1 \\\\[10pt]                  \\displaystyle 2^x\\pi^{x-1}\\sin\\left(\\frac{x\\pi}{2}\\right)\\Gamma(1-x)\\zeta(1-x), &amp; \\text{ pour } x &lt; 1 \\\\              \\end{cases} } $$<\/div><\/tr><tr><th><span title=\"\u7b2c 1 \u7a2e\u7403\u9762\u30d9\u30c3\u30bb\u30eb\u95a2\u6570 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u306a\u3044)\">\u7b2c\u4e00\u7a2e\u7403\u9762\u30d9\u30c3\u30bb\u30eb\u95a2\u6570<\/span><\/th><td>double <b>sph_bessel<\/b> (\u7b26\u53f7\u306a\u3057 n\u3001double x); <\/td><td><div class=\"math-formual notranslate\">$$ {j_n(x) = \\sqrt{\\frac{\\pi}{2x}} J_{n+1\/2}(x), \\text{ pour } x \\ge 0} $$<\/div><\/td><\/tr><tr><th><span title=\"\u4e00\u822c\u5316\u7403\u9762\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u95a2\u6570\uff08\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093\uff09\">\u4e00\u822c\u5316\u3055\u308c\u305f\u7403\u9762\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u95a2\u6570<\/span><\/th><td>double <b>sph_legendre<\/b> (\u7b26\u53f7\u306a\u3057 l\u3001\u7b26\u53f7\u306a\u3057 m\u3001\u30c0\u30d6\u30eb \u30b7\u30fc\u30bf); <\/td><td><div class=\"math-formual notranslate\">$$ { Y_{l}^{m}(\\theta, 0) \\text{ avec } Y_{l}^{m}(\\theta, \\phi) = (-1)^{m}\\left[\\frac{(2l+1)}{4\\pi}\\frac{(l-m)!}{(l+m)!}\\right]^{1 \\over 2} P_{l}^{m}(cos \\theta)e^{im\\phi} \\text{ pour } |m| \\leq l} $$<\/div><\/td><\/tr><tr><th><span title=\"\u30ce\u30a4\u30de\u30f3\u7403\u9762\u95a2\u6570 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u7403\u9762\u30ce\u30a4\u30de\u30f3\u95a2\u6570<\/span><p><span title=\"\u7b2c 2 \u7a2e\u7403\u9762\u30d9\u30c3\u30bb\u30eb\u95a2\u6570 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u7b2c 2 \u7a2e\u7403\u9762\u30d9\u30c3\u30bb\u30eb\u95a2\u6570<\/span><\/p><\/th><td>double <b>sph_neumann<\/b> (\u7b26\u53f7\u306a\u3057 n\u3001double x); <\/td><td><div class=\"math-formual notranslate\">$$ { n_{n}(x) = \\sqrt{\\frac{\\pi}{2x}} N_{n+1\/2}(x) \\text{ pour } x \\geq 0} $$<\/div><\/td><\/tr><\/table><p>\u3053\u308c\u3089\u306e\u95a2\u6570\u306b\u306f\u305d\u308c\u305e\u308c 2 \u3064\u306e\u8ffd\u52a0\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059\u3002\u95a2\u6570\u306e\u540d\u524d\u306b\u63a5\u5c3e\u8f9e\u300c <b>f<\/b> \u300d\u307e\u305f\u306f\u300c <b>l<\/b> \u300d\u3092\u8ffd\u52a0\u3059\u308b\u3068\u3001\u305d\u308c\u305e\u308c<code>float<\/code>\u307e\u305f\u306f<code>long double<\/code>\u3067\u52d5\u4f5c\u3059\u308b\u540c\u3058\u95a2\u6570\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070 \u200b\u200b\uff1a<\/p><div dir=\"ltr\"><div><pre class=\"de1\"> <span>float<\/span> sph_neumannf <span>(<\/span> <span>unsigned<\/span> n, <span>float<\/span> x <span>)<\/span> <span>;<\/span> <span>long<\/span> <span>double<\/span> sph_neumannl <span>(<\/span> <span>unsigned<\/span> n\u3001 <span>long<\/span> <span>double<\/span> x <span>)<\/span> <span>;<\/span><\/pre><\/div><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\" C++1x - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/KS8U7HT5RYc\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u57fa\u6e96\u5909\u63db<\/span><\/h3><h3><span>\u95a2\u6570\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u30dd\u30ea\u30e2\u30fc\u30d5\u30a3\u30c3\u30af\u5909\u63db<\/span><\/h3><h3><span><span>\u30e1\u30bf\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0<\/span>\u306e\u578b\u7279\u6027<\/span><\/h3><h3><span>\u95a2\u6570\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u623b\u308a\u5024\u306e\u578b\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u7d71\u4e00\u3055\u308c\u305f\u65b9\u6cd5<\/span><\/h3><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D8%B3%D9%8A%2B%2B11\">\u0633\u064a++11 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/C%2B%2B11\">C++11 \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/C%2B%2B11\">C++11 \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/C%2B%2B11\">C++11 \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/C%2B%2B11\">C++11 \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/C%2B%2B11\">C++11 \u2013 espagnol<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  C++1x &#8211; \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u9006\u95a2\u6570\u3068\u306f\u3010\u9ad8\u6821\u6570\u5b66\u3011\u95a2\u6570\uff03\uff11\uff11\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/ZSwfI2ooijM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 C++1x (\u4ee5\u524d\u306fC++0x\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u307e\u3057\u305f) \u306f\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u306b\u304a\u3051\u308b C++ \u8a00\u8a9e\u306e\u65b0\u3057\u3044\u6a19\u6e96\u3068\u3057\u3066\u8a08\u753b\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u30011998 \u5e74\u306b\u767a\u884c\u3055\u308c 2003 \u5e74\u306b\u66f4\u65b0\u3055\u308c\u305f\u65e2\u5b58\u306e\u6a19\u6e96\u3067\u3042\u308b IS [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":56922,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/ZSwfI2ooijM\/0.jpg","fifu_image_alt":" C++1x - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[54361,54360,11,13,14,10,12,8,16,15,9],"class_list":["post-56921","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-convair-xc-99","tag-sam68","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-dossier","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/56921"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=56921"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/56921\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/56922"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=56921"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=56921"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=56921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}