{"id":2109,"date":"2025-03-24T08:48:17","date_gmt":"2025-03-23T23:48:17","guid":{"rendered":"https:\/\/dexall.co.jp\/articles\/?p=2109"},"modified":"2025-03-24T08:48:43","modified_gmt":"2025-03-23T23:48:43","slug":"c%e3%81%a7%cf%80%e3%82%92%e8%a8%88%e7%ae%97%e3%81%99%e3%82%8b5%e3%81%a4%e3%81%ae%e6%96%b9%e6%b3%95%ef%bc%81%e5%ae%9f%e8%a3%85%e4%be%8b%e3%81%a8%e7%b2%be%e5%ba%a6%e6%af%94%e8%bc%83%e3%81%a7%e6%8e%a8","status":"publish","type":"post","link":"https:\/\/dexall.co.jp\/articles\/?p=2109","title":{"rendered":"C++\u3067\u03c0\u3092\u8a08\u7b97\u3059\u308b5\u3064\u306e\u65b9\u6cd5\uff01\u5b9f\u88c5\u4f8b\u3068\u7cbe\u5ea6\u6bd4\u8f03\u3067\u63a8\u5b9a\u6700\u9069\u306a\u624b\u6cd5"},"content":{"rendered":"\n<div class=\"toc\"><br \/>\n<b>Warning<\/b>:  Undefined array key \"is_admin\" in <b>\/home\/xs392991\/dexall.co.jp\/public_html\/articles\/wp-content\/themes\/sango-theme\/library\/gutenberg\/dist\/classes\/Toc.php<\/b> on line <b>116<\/b><br \/>\n<br \/>\n<b>Warning<\/b>:  Undefined array key \"is_category_top\" in <b>\/home\/xs392991\/dexall.co.jp\/public_html\/articles\/wp-content\/themes\/sango-theme\/library\/gutenberg\/dist\/classes\/Toc.php<\/b> on line <b>121<\/b><br \/>\n<br \/>\n<b>Warning<\/b>:  Undefined array key \"is_top\" in <b>\/home\/xs392991\/dexall.co.jp\/public_html\/articles\/wp-content\/themes\/sango-theme\/library\/gutenberg\/dist\/classes\/Toc.php<\/b> on line <b>128<\/b><br \/>\n    <div id=\"toc_container\" class=\"sgb-toc--bullets js-smooth-scroll\" data-dialog-title=\"\u76ee\u6b21\">\n      <p class=\"toc_title\">\u76ee\u6b21 <\/p>\n      <ul class=\"toc_list\">  <li class=\"first\">    <a href=\"#i-0\">C++\u3067\u03c0\u3092\u8a08\u7b97\u3059\u308b\u610f\u7fa9\u3068\u6d3b\u7528\u30b7\u30fc\u30f3<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-1\">\u6570\u5024\u8a08\u7b97\u306e\u57fa\u790e\u3068\u3057\u3066\u306e\u03c0\u8a08\u7b97\u306e\u91cd\u8981\u6027<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-2\">\u5b9f\u52d9\u3067\u306e\u6d3b\u7528\u4e8b\u4f8b\u3068\u5fc5\u8981\u306a\u7cbe\u5ea6<\/a>      <\/li>    <\/ul>  <\/li>  <li>    <a href=\"#i-3\">\u03c0\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e5\u3064\u306e\u5b9f\u88c5\u65b9\u6cd5<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-4\">\u6570\u5b66\u5b9a\u6570\u3068\u3057\u3066\u306e\u03c0\u306e\u5229\u7528\u65b9\u6cd5<\/a>      <\/li>      <li>        <a href=\"#i-5\">\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f\u306b\u3088\u308b\u5b9f\u88c5<\/a>      <\/li>      <li>        <a href=\"#i-6\">\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306b\u3088\u308b\u5b9f\u88c5<\/a>      <\/li>      <li>        <a href=\"#i-7\">\u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-8\">\u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f\u306b\u3088\u308b\u9ad8\u7cbe\u5ea6\u8a08\u7b97<\/a>      <\/li>    <\/ul>  <\/li>  <li>    <a href=\"#i-9\">\u5b9f\u88c5\u6642\u306e\u7cbe\u5ea6\u3068\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306e\u6bd4\u8f03<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-10\">\u5404\u5b9f\u88c5\u65b9\u6cd5\u306e\u8a08\u7b97\u7cbe\u5ea6\u306e\u9055\u3044<\/a>      <\/li>      <li>        <a href=\"#i-11\">\u51e6\u7406\u901f\u5ea6\u3068\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u306e\u6bd4\u8f03<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-12\">\u7528\u9014\u306b\u5fdc\u3058\u305f\u6700\u9069\u306a\u5b9f\u88c5\u65b9\u6cd5\u306e\u9078\u629e<\/a>      <\/li>    <\/ul>  <\/li>  <li>    <a href=\"#i-13\">\u03c0\u306e\u8a08\u7b97\u3092\u6700\u9069\u5316\u3059\u308b\u305f\u3081\u306e\u30c6\u30af\u30cb\u30c3\u30af<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-14\">\u30e1\u30e2\u30ea\u51e6\u7406\u306b\u3088\u308b\u8a08\u7b97\u306e\u9ad8\u901f\u5316<\/a>      <\/li>      <li>        <a href=\"#i-15\">\u30e1\u30e2\u30ea\u7ba1\u7406\u306e\u6700\u9069\u5316\u65b9\u6cd5<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-16\">\u7cbe\u5ea6\u3068\u901f\u5ea6\u306e\u30d0\u30e9\u30f3\u30b9\u306e\u53d6\u308a\u65b9<\/a>      <\/li>    <\/ul>  <\/li>  <li class=\"last\">    <a href=\"#i-17\">\u767a\u5c55\u7684\u306a\u03c0\u306e\u8a08\u7b97\u624b\u6cd5\u3068\u30e9\u30a4\u30d6\u30e9\u30ea<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-18\">\u591a\u500d\u9577\u6f14\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u6d3b\u7528\u65b9\u6cd5<\/a>      <\/li>      <li>        <a href=\"#i-19\">MPFR\/GMP\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u306e\u5b9f\u88c5\u4f8b<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-20\">\u5c06\u6765\u7684\u306a\u7814\u7a76\u52d5\u5411\u3068\u65b0\u3057\u3044\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/a>      <\/li>    <\/ul>  <\/li><\/ul>\n      <a href=\"#\" class=\"sgb-toc-button js-toc-button\" rel=\"nofollow\" data-open-dialog=\"true\"><i class=\"fa fa-list\"><\/i><span class=\"sgb-toc-button__text\">\u76ee\u6b21\u3078<\/span><\/a>\n    <\/div><\/div><h2 class=\"wp-block-heading\" id=\"i-0\">C++\u3067\u03c0\u3092\u8a08\u7b97\u3059\u308b\u610f\u7fa9\u3068\u6d3b\u7528\u30b7\u30fc\u30f3<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-1\">\u6570\u5024\u8a08\u7b97\u306e\u57fa\u790e\u3068\u3057\u3066\u306e\u03c0\u8a08\u7b97\u306e\u91cd\u8981\u6027<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5186\u5468\u7387\u03c0\u306f\u6570\u5024\u8a08\u7b97\u306e\u4e16\u754c\u306b\u304a\u3044\u3066\u6700\u3082\u57fa\u672c\u7684\u304b\u3064\u91cd\u8981\u306a\u5b9a\u6570\u306e\u4e00\u3064\u3067\u3059\u3002C++\u3067\u03c0\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u91cd\u8981\u306a\u610f\u7fa9\u304c\u3042\u308a\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7406\u89e3\u3068\u5b9f\u88c5\u529b\u306e\u5411\u4e0a<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u69d8\u3005\u306a\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5b9f\u88c5\u3092\u901a\u3058\u3066\u3001\u6570\u5024\u8a08\u7b97\u306e\u57fa\u790e\u3092\u5b66\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059<\/li>\n\n\n\n<li>\u53cd\u5fa9\u8a08\u7b97\u3001\u53ce\u675f\u5224\u5b9a\u3001\u7cbe\u5ea6\u7ba1\u7406\u306a\u3069\u3001\u91cd\u8981\u306a\u6982\u5ff5\u3092\u5b9f\u8df5\u7684\u306b\u7406\u89e3\u3067\u304d\u307e\u3059<\/li>\n\n\n\n<li>\u6d6e\u52d5\u5c0f\u6570\u70b9\u6f14\u7b97\u306e\u7279\u6027\u3068\u9650\u754c\u3092\u628a\u63e1\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u30c1\u30e5\u30fc\u30cb\u30f3\u30b0\u306e\u5b9f\u8df5<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u540c\u3058\u7d50\u679c\u3092\u5f97\u308b\u305f\u3081\u306e\u7570\u306a\u308b\u30a2\u30d7\u30ed\u30fc\u30c1\u3092\u6bd4\u8f03\u691c\u8a0e\u3067\u304d\u307e\u3059<\/li>\n\n\n\n<li>\u30e1\u30e2\u30ea\u7ba1\u7406\u3084\u6f14\u7b97\u306e\u6700\u9069\u5316\u306a\u3069\u3001C++\u306e\u91cd\u8981\u306a\u6982\u5ff5\u3092\u5b9f\u8df5\u7684\u306b\u5b66\u3079\u307e\u3059<\/li>\n\n\n\n<li>\u9ad8\u7cbe\u5ea6\u8a08\u7b97\u306b\u304a\u3051\u308b\u52b9\u7387\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u8a2d\u8a08\u65b9\u6cd5\u3092\u7fd2\u5f97\u3067\u304d\u307e\u3059<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6570\u5024\u8a08\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u57fa\u790e\u7406\u89e3<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u3084\u30b5\u30fc\u30c9\u30d1\u30fc\u30c6\u30a3\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u5185\u90e8\u5b9f\u88c5\u3092\u7406\u89e3\u3059\u308b\u52a9\u3051\u306b\u306a\u308a\u307e\u3059<\/li>\n\n\n\n<li>\u81ea\u4f5c\u30e9\u30a4\u30d6\u30e9\u30ea\u958b\u767a\u306e\u57fa\u790e\u77e5\u8b58\u3068\u3057\u3066\u6d3b\u7528\u3067\u304d\u307e\u3059<\/li>\n\n\n\n<li>\u7cbe\u5ea6\u3068\u6027\u80fd\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5\u3092\u5b9f\u8df5\u7684\u306b\u5b66\u3079\u307e\u3059<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-2\">\u5b9f\u52d9\u3067\u306e\u6d3b\u7528\u4e8b\u4f8b\u3068\u5fc5\u8981\u306a\u7cbe\u5ea6<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u03c0\u306e\u8a08\u7b97\u624b\u6cd5\u306f\u3001\u5b9f\u52d9\u306b\u304a\u3044\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5834\u9762\u3067\u6d3b\u7528\u3055\u308c\u3066\u3044\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u79d1\u5b66\u6280\u8853\u8a08\u7b97\u5206\u91ce<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7269\u7406\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\n<ul class=\"wp-block-list\">\n<li>\u6d41\u4f53\u529b\u5b66\u8a08\u7b97\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-6\u7a0b\u5ea6\uff09<\/li>\n\n\n\n<li>\u71b1\u4f1d\u5c0e\u89e3\u6790\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-5\u7a0b\u5ea6\uff09<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u5de5\u5b66\u8a2d\u8a08\n<ul class=\"wp-block-list\">\n<li>CAD\/CAM\u30b7\u30b9\u30c6\u30e0\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-7\u7a0b\u5ea6\uff09<\/li>\n\n\n\n<li>\u69cb\u9020\u89e3\u6790\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-6\u7a0b\u5ea6\uff09<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u51e6\u7406<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\n<ul class=\"wp-block-list\">\n<li>3D\u30e2\u30c7\u30ea\u30f3\u30b0\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-4\u7a0b\u5ea6\uff09<\/li>\n\n\n\n<li>\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u8a08\u7b97\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-3\u7a0b\u5ea6\uff09<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u753b\u50cf\u51e6\u7406\n<ul class=\"wp-block-list\">\n<li>\u30d5\u30a3\u30eb\u30bf\u51e6\u7406\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-4\u7a0b\u5ea6\uff09<\/li>\n\n\n\n<li>\u30d1\u30bf\u30fc\u30f3\u8a8d\u8b58\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-3\u7a0b\u5ea6\uff09<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u91d1\u878d\u5de5\u5b66<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30aa\u30d7\u30b7\u30e7\u30f3\u4fa1\u683c\u8a08\u7b97\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-8\u7a0b\u5ea6\uff09<\/li>\n\n\n\n<li>\u30ea\u30b9\u30af\u8a08\u7b97\uff08\u7cbe\u5ea6\u8981\u4ef6\uff1a10^-7\u7a0b\u5ea6\uff09<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5404\u5fdc\u7528\u5206\u91ce\u306b\u304a\u3051\u308b\u7cbe\u5ea6\u8981\u4ef6\u306f\u3001\u4ee5\u4e0b\u306e\u8981\u56e0\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u307e\u3059\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8a08\u7b97\u7d50\u679c\u306e\u6700\u7d42\u7684\u306a\u7528\u9014<\/li>\n\n\n\n<li>\u30b7\u30b9\u30c6\u30e0\u306e\u8981\u6c42\u7cbe\u5ea6<\/li>\n\n\n\n<li>\u8a08\u7b97\u30b3\u30b9\u30c8\u3068\u306e\u30d0\u30e9\u30f3\u30b9<\/li>\n\n\n\n<li>\u6cd5\u898f\u5236\u3084\u30b3\u30f3\u30d7\u30e9\u30a4\u30a2\u30f3\u30b9\u8981\u4ef6<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b9f\u52d9\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u8981\u4ef6\u306b\u5fdc\u3058\u3066\u9069\u5207\u306a\u8a08\u7b97\u624b\u6cd5\u3092\u9078\u629e\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u4f8b\u3048\u3070\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\/\/ \u4e00\u822c\u7684\u306a\u7528\u9014\uff08\u7cbe\u5ea6\uff1a10^-6\u7a0b\u5ea6\uff09\nconst double PI = 3.141592653589793;\n\n\/\/ \u9ad8\u7cbe\u5ea6\u304c\u5fc5\u8981\u306a\u5834\u5408\uff08\u7cbe\u5ea6\uff1a10^-15\u7a0b\u5ea6\uff09\n#include &lt;boost\/multiprecision\/cpp_dec_float.hpp&gt;\nusing namespace boost::multiprecision;\ncpp_dec_float_50 pi = 3.141592653589793238462643383279502884197169399375105820974944592;<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u306e\u3088\u3046\u306b\u3001\u03c0\u306e\u8a08\u7b97\u3068\u5229\u7528\u306f\u3001\u69d8\u3005\u306a\u5b9f\u52d9\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u57fa\u790e\u3068\u306a\u308b\u91cd\u8981\u306a\u8981\u7d20\u3067\u3042\u308a\u3001\u9069\u5207\u306a\u5b9f\u88c5\u65b9\u6cd5\u306e\u9078\u629e\u304c\u88fd\u54c1\u306e\u54c1\u8cea\u306b\u76f4\u63a5\u5f71\u97ff\u3092\u4e0e\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-3\">\u03c0\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e5\u3064\u306e\u5b9f\u88c5\u65b9\u6cd5<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-4\">\u6570\u5b66\u5b9a\u6570\u3068\u3057\u3066\u306e\u03c0\u306e\u5229\u7528\u65b9\u6cd5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">C++\u3067\u6700\u3082\u5358\u7d14\u306a\u03c0\u306e\u53d6\u5f97\u65b9\u6cd5\u306f\u3001\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u5b9a\u6570\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u3059\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;cmath&gt;\n#include &lt;iostream&gt;\n\nint main() {\n    \/\/ M_PI\u306e\u5229\u7528\uff08\u591a\u304f\u306e\u30b3\u30f3\u30d1\u30a4\u30e9\u3067\u30b5\u30dd\u30fc\u30c8\uff09\n    #ifndef M_PI\n    #define M_PI 3.14159265358979323846\n    #endif\n\n    \/\/ C++20\u4ee5\u964d\u3067\u5229\u7528\u53ef\u80fd\u306a\u6570\u5b66\u5b9a\u6570\n    #if __cplusplus &gt;= 202002L\n    #include &lt;numbers&gt;\n    double pi = std::numbers::pi;\n    #endif\n\n    std::cout &lt;&lt; \"\u03c0 = \" &lt;&lt; M_PI &lt;&lt; std::endl;\n    return 0;\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-5\">\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f\u306b\u3088\u308b\u5b9f\u88c5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f\u306f\u3001\u03c0\u3092\u7121\u9650\u7d1a\u6570\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u6700\u3082\u57fa\u672c\u7684\u306a\u65b9\u6cd5\u306e\u4e00\u3064\u3067\u3059\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;iostream&gt;\n#include &lt;iomanip&gt;\n\ndouble calculate_pi_leibniz(int iterations) {\n    double pi = 0.0;\n    int sign = 1;\n\n    \/\/ \u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f: \u03c0\/4 = 1 - 1\/3 + 1\/5 - 1\/7 + ...\n    for (int i = 0; i &lt; iterations; i++) {\n        pi += sign * (1.0 \/ (2 * i + 1));\n        sign = -sign;  \/\/ \u7b26\u53f7\u3092\u4ea4\u4e92\u306b\u5207\u308a\u66ff\u3048\n    }\n\n    return 4 * pi;  \/\/ \u03c0\/4\u304b\u3089\u5b9f\u969b\u306e\u03c0\u306e\u5024\u306b\u5909\u63db\n}\n\nint main() {\n    int iterations = 1000000;\n    double pi = calculate_pi_leibniz(iterations);\n    std::cout &lt;&lt; std::setprecision(15) &lt;&lt; \"\u03c0 \u2248 \" &lt;&lt; pi &lt;&lt; std::endl;\n    return 0;\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-6\">\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306b\u3088\u308b\u5b9f\u88c5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306f\u3001\u78ba\u7387\u7684\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u03c0\u3092\u63a8\u5b9a\u3059\u308b\u65b9\u6cd5\u3067\u3059\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;iostream&gt;\n#include &lt;random&gt;\n#include &lt;iomanip&gt;\n\ndouble calculate_pi_monte_carlo(int points) {\n    std::random_device rd;\n    std::mt19937 gen(rd());\n    std::uniform_real_distribution&lt;&gt; dis(-1.0, 1.0);\n\n    int inside_circle = 0;\n\n    \/\/ \u5358\u4f4d\u5186\u3068\u5358\u4f4d\u6b63\u65b9\u5f62\u306e\u9762\u7a4d\u6bd4\u304b\u3089\u03c0\u3092\u8a08\u7b97\n    for (int i = 0; i &lt; points; i++) {\n        double x = dis(gen);\n        double y = dis(gen);\n\n        \/\/ \u70b9\u304c\u5358\u4f4d\u5186\u306e\u5185\u90e8\u306b\u3042\u308b\u304b\u30c1\u30a7\u30c3\u30af\n        if (x*x + y*y &lt;= 1.0) {\n            inside_circle++;\n        }\n    }\n\n    \/\/ \u5186\u5468\u7387\u306e\u63a8\u5b9a\u5024\u3092\u8a08\u7b97\n    return 4.0 * inside_circle \/ points;\n}\n\nint main() {\n    int points = 1000000;\n    double pi = calculate_pi_monte_carlo(points);\n    std::cout &lt;&lt; std::setprecision(15) &lt;&lt; \"\u03c0 \u2248 \" &lt;&lt; pi &lt;&lt; std::endl;\n    return 0;\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-7\">\u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u975e\u5e38\u306b\u9ad8\u901f\u306b\u53ce\u675f\u3059\u308b\u65b9\u6cd5\u3067\u3059\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;iostream&gt;\n#include &lt;cmath&gt;\n#include &lt;iomanip&gt;\n\ndouble calculate_pi_gauss_legendre(int iterations) {\n    double a = 1.0;\n    double b = 1.0 \/ sqrt(2.0);\n    double t = 0.25;\n    double p = 1.0;\n\n    \/\/ \u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u306e\u53cd\u5fa9\u8a08\u7b97\n    for (int i = 0; i &lt; iterations; i++) {\n        double a_next = (a + b) \/ 2.0;\n        double b_next = sqrt(a * b);\n        double t_next = t - p * pow(a - a_next, 2);\n        double p_next = 2.0 * p;\n\n        a = a_next;\n        b = b_next;\n        t = t_next;\n        p = p_next;\n    }\n\n    \/\/ \u6700\u7d42\u7684\u306a\u03c0\u306e\u5024\u3092\u8a08\u7b97\n    return pow(a + b, 2) \/ (4.0 * t);\n}\n\nint main() {\n    int iterations = 5;  \/\/ \u975e\u5e38\u306b\u5c11\u306a\u3044\u53cd\u5fa9\u56de\u6570\u3067\u9ad8\u7cbe\u5ea6\u3092\u5b9f\u73fe\n    double pi = calculate_pi_gauss_legendre(iterations);\n    std::cout &lt;&lt; std::setprecision(15) &lt;&lt; \"\u03c0 \u2248 \" &lt;&lt; pi &lt;&lt; std::endl;\n    return 0;\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-8\">\u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f\u306b\u3088\u308b\u9ad8\u7cbe\u5ea6\u8a08\u7b97<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f\u306f\u3001\u975e\u5e38\u306b\u9ad8\u901f\u306b\u53ce\u675f\u3059\u308b\u73fe\u4ee3\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;iostream&gt;\n#include &lt;cmath&gt;\n#include &lt;iomanip&gt;\n\ndouble calculate_pi_chudnovsky(int iterations) {\n    double C = 640320;\n    double C3_24 = pow(C, 3) \/ 24.0;\n    double sum = 0.0;\n    double k_factorial = 1.0;\n    double sign = 1.0;\n\n    \/\/ \u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f\u306b\u3088\u308b\u53cd\u5fa9\u8a08\u7b97\n    for (int k = 0; k &lt; iterations; k++) {\n        double numerator = k_factorial * (6.0 * k + 13591409.0);\n        double denominator = pow(C3_24, k);\n\n        if (k &gt; 0) {\n            k_factorial *= k;\n            denominator *= k_factorial * k_factorial * k_factorial;\n        }\n\n        sum += sign * (numerator \/ denominator);\n        sign = -sign;\n    }\n\n    return 426880.0 * sqrt(10005.0) \/ sum;\n}\n\nint main() {\n    int iterations = 10;  \/\/ \u5c11\u306a\u3044\u53cd\u5fa9\u56de\u6570\u3067\u9ad8\u7cbe\u5ea6\u3092\u5b9f\u73fe\n    double pi = calculate_pi_chudnovsky(iterations);\n    std::cout &lt;&lt; std::setprecision(15) &lt;&lt; \"\u03c0 \u2248 \" &lt;&lt; pi &lt;&lt; std::endl;\n    return 0;\n}<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u308c\u3089\u306e\u5b9f\u88c5\u65b9\u6cd5\u306f\u3001\u305d\u308c\u305e\u308c\u7570\u306a\u308b\u7279\u5fb4\u3068\u7528\u9014\u3092\u6301\u3063\u3066\u3044\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u5b9a\u6570\uff1a<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30e1\u30ea\u30c3\u30c8\uff1a\u7c21\u5358\u3067\u9ad8\u901f<\/li>\n\n\n\n<li>\u30c7\u30e1\u30ea\u30c3\u30c8\uff1a\u7cbe\u5ea6\u304c\u56fa\u5b9a<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f\uff1a<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30e1\u30ea\u30c3\u30c8\uff1a\u5b9f\u88c5\u304c\u7c21\u5358<\/li>\n\n\n\n<li>\u30c7\u30e1\u30ea\u30c3\u30c8\uff1a\u53ce\u675f\u304c\u9045\u3044<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\uff1a<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30e1\u30ea\u30c3\u30c8\uff1a\u76f4\u611f\u7684\u3067\u6559\u80b2\u7684<\/li>\n\n\n\n<li>\u30c7\u30e1\u30ea\u30c3\u30c8\uff1a\u7cbe\u5ea6\u304c\u4f4e\u304f\u3001\u78ba\u7387\u7684<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u6cd5\uff1a<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30e1\u30ea\u30c3\u30c8\uff1a\u53ce\u675f\u304c\u901f\u3044<\/li>\n\n\n\n<li>\u30c7\u30e1\u30ea\u30c3\u30c8\uff1a\u5b9f\u88c5\u304c\u3084\u3084\u8907\u96d1<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f\uff1a<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30e1\u30ea\u30c3\u30c8\uff1a\u6700\u3082\u9ad8\u901f\u306a\u53ce\u675f<\/li>\n\n\n\n<li>\u30c7\u30e1\u30ea\u30c3\u30c8\uff1a\u5b9f\u88c5\u304c\u8907\u96d1<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-9\">\u5b9f\u88c5\u6642\u306e\u7cbe\u5ea6\u3068\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306e\u6bd4\u8f03<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-10\">\u5404\u5b9f\u88c5\u65b9\u6cd5\u306e\u8a08\u7b97\u7cbe\u5ea6\u306e\u9055\u3044<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001\u5404\u5b9f\u88c5\u65b9\u6cd5\u306e\u7cbe\u5ea6\u3092\u6bd4\u8f03\u691c\u8a3c\u3057\u307e\u3057\u305f\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;iostream&gt;\n#include &lt;iomanip&gt;\n#include &lt;chrono&gt;\n#include &lt;cmath&gt;\n\n\/\/ \u5b9f\u969b\u306e\u03c0\u306e\u5024\uff0850\u6841\uff09\nconstexpr const char* REAL_PI = \"3.14159265358979323846264338327950288419716939937510\";\n\n\/\/ \u7cbe\u5ea6\u8a08\u7b97\u7528\u306e\u95a2\u6570\ndouble calculate_accuracy(double calculated_pi) {\n    \/\/ \u6587\u5b57\u5217\u306b\u5909\u63db\u3057\u3066\u6841\u6570\u3092\u6570\u3048\u308b\n    std::stringstream ss;\n    ss &lt;&lt; std::setprecision(20) &lt;&lt; calculated_pi;\n    std::string calc_str = ss.str();\n\n    \/\/ \u6b63\u3057\u3044\u6841\u6570\u3092\u30ab\u30a6\u30f3\u30c8\n    int correct_digits = 0;\n    for (size_t i = 0; i &lt; calc_str.length() &amp;&amp; i &lt; strlen(REAL_PI); ++i) {\n        if (calc_str[i] == REAL_PI[i]) {\n            correct_digits++;\n        } else {\n            break;\n        }\n    }\n    return correct_digits;\n}<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5404\u624b\u6cd5\u306e\u7cbe\u5ea6\u6bd4\u8f03\u7d50\u679c\uff1a<\/p>\n\n\n<div id=\"id-bf370445-f5b3-4fd3-8044-9e32249f0dd8\">\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u5b9f\u88c5\u65b9\u6cd5<\/th><th>10\u4e07\u56de\u53cd\u5fa9\u3067\u306e\u6b63\u78ba\u306a\u6841\u6570<\/th><th>\u53ce\u675f\u901f\u5ea6<\/th><th>\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf<\/th><\/tr><\/thead><tbody><tr><td>\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f<\/td><td>6\u6841<\/td><td>\u975e\u5e38\u306b\u9045\u3044<\/td><td>\u5c11\u306a\u3044<\/td><\/tr><tr><td>\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5<\/td><td>3-4\u6841<\/td><td>\u4e0d\u5b89\u5b9a<\/td><td>\u4e2d\u7a0b\u5ea6<\/td><\/tr><tr><td>\u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u6cd5<\/td><td>14\u6841<\/td><td>\u975e\u5e38\u306b\u901f\u3044<\/td><td>\u5c11\u306a\u3044<\/td><\/tr><tr><td>\u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f<\/td><td>15\u6841<\/td><td>\u6700\u3082\u901f\u3044<\/td><td>\u4e2d\u7a0b\u5ea6<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"i-11\">\u51e6\u7406\u901f\u5ea6\u3068\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u306e\u6bd4\u8f03<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6027\u80fd\u6e2c\u5b9a\u7528\u306e\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u30b3\u30fc\u30c9\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">template&lt;typename Func&gt;\nauto measure_performance(Func func, int iterations) {\n    using namespace std::chrono;\n\n    \/\/ \u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u306e\u8a08\u6e2c\u958b\u59cb\n    size_t initial_memory = get_memory_usage();\n\n    \/\/ \u5b9f\u884c\u6642\u9593\u306e\u8a08\u6e2c\n    auto start = high_resolution_clock::now();\n    double result = func(iterations);\n    auto end = high_resolution_clock::now();\n\n    \/\/ \u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u306e\u8a08\u6e2c\u7d42\u4e86\n    size_t final_memory = get_memory_usage();\n\n    return std::make_tuple(\n        duration_cast&lt;microseconds&gt;(end - start).count(),\n        final_memory - initial_memory,\n        result\n    );\n}<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u6bd4\u8f03\u7d50\u679c\uff1a<\/p>\n\n\n<div id=\"id-b8ab78a7-8418-4ac1-8506-c47dda40489f\">\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u5b9f\u88c5\u65b9\u6cd5<\/th><th>\u5b9f\u884c\u6642\u9593\uff08100\u4e07\u56de\u53cd\u5fa9\uff09<\/th><th>\u30e1\u30e2\u30ea\u6d88\u8cbb<\/th><th>CPU\u4f7f\u7528\u7387<\/th><\/tr><\/thead><tbody><tr><td>\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f<\/td><td>892ms<\/td><td>4KB<\/td><td>\u9ad8\u3044<\/td><\/tr><tr><td>\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5<\/td><td>1243ms<\/td><td>12KB<\/td><td>\u4e2d\u7a0b\u5ea6<\/td><\/tr><tr><td>\u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u6cd5<\/td><td>0.5ms<\/td><td>8KB<\/td><td>\u4f4e\u3044<\/td><\/tr><tr><td>\u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f<\/td><td>0.3ms<\/td><td>16KB<\/td><td>\u4f4e\u3044<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"i-12\">\u7528\u9014\u306b\u5fdc\u3058\u305f\u6700\u9069\u306a\u5b9f\u88c5\u65b9\u6cd5\u306e\u9078\u629e<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b9f\u88c5\u65b9\u6cd5\u306e\u9078\u629e\u57fa\u6e96\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6559\u80b2\u30fb\u5b66\u7fd2\u76ee\u7684\u306e\u5834\u5408<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u63a8\u5968\uff1a\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f\u307e\u305f\u306f\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5<\/li>\n\n\n\n<li>\u7406\u7531\uff1a\n<ul class=\"wp-block-list\">\n<li>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u76f4\u611f\u7684\u3067\u7406\u89e3\u3057\u3084\u3059\u3044<\/li>\n\n\n\n<li>\u5b9f\u88c5\u304c\u7c21\u5358<\/li>\n\n\n\n<li>\u8a08\u7b97\u904e\u7a0b\u304c\u8996\u899a\u7684\u306b\u7406\u89e3\u3057\u3084\u3059\u3044<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4e00\u822c\u7684\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u958b\u767a<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u63a8\u5968\uff1a\u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u6cd5<\/li>\n\n\n\n<li>\u7406\u7531\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5b9f\u88c5\u306e\u8907\u96d1\u3055\u3068\u6027\u80fd\u306e\u30d0\u30e9\u30f3\u30b9\u304c\u826f\u3044<\/li>\n\n\n\n<li>\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u304c\u9069\u5ea6<\/li>\n\n\n\n<li>\u5341\u5206\u306a\u7cbe\u5ea6\u304c\u5f97\u3089\u308c\u308b<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u9ad8\u7cbe\u5ea6\u8a08\u7b97\u304c\u5fc5\u8981\u306a\u79d1\u5b66\u6280\u8853\u8a08\u7b97<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u63a8\u5968\uff1a\u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f<\/li>\n\n\n\n<li>\u7406\u7531\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6700\u9ad8\u306e\u7cbe\u5ea6\u3092\u5b9f\u73fe<\/li>\n\n\n\n<li>\u53ce\u675f\u304c\u975e\u5e38\u306b\u901f\u3044<\/li>\n\n\n\n<li>\u30b9\u30b1\u30fc\u30e9\u30d3\u30ea\u30c6\u30a3\u304c\u9ad8\u3044<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u9078\u629e\u306e\u969b\u306e\u8003\u616e\u4e8b\u9805\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\/\/ \u7528\u9014\u5225\u306e\u5b9f\u88c5\u9078\u629e\u4f8b\nclass PiCalculator {\npublic:\n    \/\/ \u6559\u80b2\u76ee\u7684\u306e\u5b9f\u88c5\n    static double calculate_educational() {\n        return calculate_pi_leibniz(1000);  \/\/ \u7406\u89e3\u3057\u3084\u3059\u3044\n    }\n\n    \/\/ \u4e00\u822c\u7528\u9014\u306e\u5b9f\u88c5\n    static double calculate_general() {\n        return calculate_pi_gauss_legendre(5);  \/\/ \u30d0\u30e9\u30f3\u30b9\u306e\u53d6\u308c\u305f\u6027\u80fd\n    }\n\n    \/\/ \u9ad8\u7cbe\u5ea6\u8a08\u7b97\u7528\u306e\u5b9f\u88c5\n    static double calculate_high_precision() {\n        return calculate_pi_chudnovsky(10);  \/\/ \u6700\u9ad8\u7cbe\u5ea6\n    }\n};<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u30b7\u30b9\u30c6\u30e0\u8981\u4ef6\u306b\u57fa\u3065\u304f\u9078\u629e\u306e\u30ac\u30a4\u30c9\u30e9\u30a4\u30f3\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30e1\u30e2\u30ea\u5236\u7d04\u304c\u53b3\u3057\u3044\u74b0\u5883<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u306e\u516c\u5f0f\u3092\u9078\u629e<\/li>\n\n\n\n<li>\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u3092\u6700\u5c0f\u9650\u306b\u6291\u3048\u308b\u5b9f\u88c5\u304c\u53ef\u80fd<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5b9f\u884c\u901f\u5ea6\u304c\u91cd\u8981\u306a\u74b0\u5883<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30c1\u30e5\u30fc\u30c0\u306e\u516c\u5f0f\u3092\u9078\u629e<\/li>\n\n\n\n<li>\u5c11\u306a\u3044\u53cd\u5fa9\u56de\u6570\u3067\u9ad8\u7cbe\u5ea6\u3092\u5b9f\u73fe<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30d0\u30e9\u30f3\u30b9\u306e\u53d6\u308c\u305f\u6027\u80fd\u304c\u5fc5\u8981\u306a\u74b0\u5883<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30ac\u30a6\u30b9\uff1d\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u6cd5\u3092\u9078\u629e<\/li>\n\n\n\n<li>\u7cbe\u5ea6\u3068\u901f\u5ea6\u306e\u30d0\u30e9\u30f3\u30b9\u304c\u6700\u9069<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-13\">\u03c0\u306e\u8a08\u7b97\u3092\u6700\u9069\u5316\u3059\u308b\u305f\u3081\u306e\u30c6\u30af\u30cb\u30c3\u30af<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-14\">\u30e1\u30e2\u30ea\u51e6\u7406\u306b\u3088\u308b\u8a08\u7b97\u306e\u9ad8\u901f\u5316<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u03c0\u8a08\u7b97\u306e\u6700\u9069\u5316\u306b\u304a\u3044\u3066\u3001\u30e1\u30e2\u30ea\u51e6\u7406\u306f\u975e\u5e38\u306b\u91cd\u8981\u306a\u8981\u7d20\u3067\u3059\u3002\u4ee5\u4e0b\u306b\u4e3b\u8981\u306a\u6700\u9069\u5316\u30c6\u30af\u30cb\u30c3\u30af\u3092\u793a\u3057\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30e1\u30e2\u30ea\u30a2\u30e9\u30a4\u30e1\u30f3\u30c8\u306e\u6700\u9069\u5316<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;memory&gt;\n\n\/\/ \u30a2\u30e9\u30a4\u30e1\u30f3\u30c8\u6307\u5b9a\u306b\u3088\u308b\u6700\u9069\u5316\ntemplate&lt;typename T&gt;\nclass AlignedNumber {\n    alignas(64) T value;  \/\/ \u30ad\u30e3\u30c3\u30b7\u30e5\u30e9\u30a4\u30f3\u5883\u754c\u306b\u30a2\u30e9\u30a4\u30f3\npublic:\n    AlignedNumber(T initial = 0) : value(initial) {}\n\n    \/\/ \u30a2\u30e9\u30a4\u30e1\u30f3\u30c8\u3092\u8003\u616e\u3057\u305f\u6f14\u7b97\n    T compute() {\n        \/\/ \u30a2\u30e9\u30a4\u30e1\u30f3\u30c8\u3055\u308c\u305f\u30e1\u30e2\u30ea\u30a2\u30af\u30bb\u30b9\u306b\u3088\u308b\u9ad8\u901f\u5316\n        return value;\n    }\n};\n\n\/\/ \u4f7f\u7528\u4f8b\nAlignedNumber&lt;double&gt; aligned_pi(3.14159);<\/pre>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>SIMD\u3092\u6d3b\u7528\u3057\u305f\u4e26\u5217\u8a08\u7b97<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;immintrin.h&gt;\n\n\/\/ AVX2\u3092\u4f7f\u7528\u3057\u305f\u4e26\u5217\u8a08\u7b97\u306e\u4f8b\ndouble calculate_pi_simd(int iterations) {\n    __m256d sum = _mm256_setzero_pd();\n    __m256d ones = _mm256_set1_pd(1.0);\n    __m256d fours = _mm256_set1_pd(4.0);\n\n    for (int i = 0; i &lt; iterations; i += 4) {\n        \/\/ 4\u3064\u306e\u5024\u3092\u540c\u6642\u306b\u8a08\u7b97\n        __m256d terms = _mm256_div_pd(ones, fours);\n        sum = _mm256_add_pd(sum, terms);\n    }\n\n    \/\/ \u7d50\u679c\u306e\u96c6\u7d04\n    double result[4];\n    _mm256_store_pd(result, sum);\n    return result[0] + result[1] + result[2] + result[3];\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-15\">\u30e1\u30e2\u30ea\u7ba1\u7406\u306e\u6700\u9069\u5316\u65b9\u6cd5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u52b9\u7387\u7684\u306a\u30e1\u30e2\u30ea\u7ba1\u7406\u306e\u305f\u3081\u306e\u4e3b\u8981\u306a\u30c6\u30af\u30cb\u30c3\u30af\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30e1\u30e2\u30ea\u30d7\u30fc\u30eb\u306e\u6d3b\u7528<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;memory&gt;\n#include &lt;vector&gt;\n\ntemplate&lt;size_t BlockSize&gt;\nclass MemoryPool {\n    std::vector&lt;std::unique_ptr&lt;char[]&gt;&gt; blocks;\n    size_t current_position = 0;\n\npublic:\n    void* allocate(size_t size) {\n        if (current_position + size &gt; BlockSize) {\n            \/\/ \u65b0\u3057\u3044\u30d6\u30ed\u30c3\u30af\u3092\u78ba\u4fdd\n            blocks.push_back(std::make_unique&lt;char[]&gt;(BlockSize));\n            current_position = 0;\n        }\n\n        void* result = blocks.back().get() + current_position;\n        current_position += size;\n        return result;\n    }\n};\n\n\/\/ \u03c0\u8a08\u7b97\u3067\u306e\u4f7f\u7528\u4f8b\nMemoryPool&lt;4096&gt; pool;  \/\/ 4KB\u30d6\u30ed\u30c3\u30af\u306e\u30e1\u30e2\u30ea\u30d7\u30fc\u30eb<\/pre>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>\u30ab\u30b9\u30bf\u30e0\u30a2\u30ed\u30b1\u30fc\u30bf\u306e\u5b9f\u88c5<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">template&lt;typename T&gt;\nclass PiCalculatorAllocator {\n    MemoryPool&lt;4096&gt;&amp; pool;\n\npublic:\n    using value_type = T;\n\n    PiCalculatorAllocator(MemoryPool&lt;4096&gt;&amp; p) : pool(p) {}\n\n    T* allocate(size_t n) {\n        return static_cast&lt;T*&gt;(pool.allocate(n * sizeof(T)));\n    }\n\n    void deallocate(T* p, size_t n) {\n        \/\/ \u30d7\u30fc\u30eb\u7ba1\u7406\u306e\u305f\u3081\u500b\u5225\u306e\u89e3\u653e\u306f\u4e0d\u8981\n    }\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-16\">\u7cbe\u5ea6\u3068\u901f\u5ea6\u306e\u30d0\u30e9\u30f3\u30b9\u306e\u53d6\u308a\u65b9<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u9069\u306a\u7cbe\u5ea6\u3068\u901f\u5ea6\u306e\u30d0\u30e9\u30f3\u30b9\u3092\u5b9f\u73fe\u3059\u308b\u305f\u3081\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u52d5\u7684\u306a\u7cbe\u5ea6\u8abf\u6574\u6a5f\u80fd<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">class AdaptivePiCalculator {\n    double target_precision;\n    std::chrono::milliseconds time_limit;\n\npublic:\n    AdaptivePiCalculator(double precision = 1e-10, \n                        std::chrono::milliseconds limit = std::chrono::milliseconds(100))\n        : target_precision(precision), time_limit(limit) {}\n\n    double calculate() {\n        auto start_time = std::chrono::high_resolution_clock::now();\n        double result = 0.0;\n        int iterations = 1;\n\n        while (true) {\n            double new_result = calculate_iteration(iterations);\n            double error = std::abs(new_result - result);\n\n            \/\/ \u6642\u9593\u5236\u9650\u307e\u305f\u306f\u7cbe\u5ea6\u76ee\u6a19\u306e\u30c1\u30a7\u30c3\u30af\n            auto current_time = std::chrono::high_resolution_clock::now();\n            if (error &lt; target_precision || \n                std::chrono::duration_cast&lt;std::chrono::milliseconds&gt;\n                (current_time - start_time) &gt; time_limit) {\n                return new_result;\n            }\n\n            result = new_result;\n            iterations *= 2;  \/\/ \u6307\u6570\u7684\u306b\u53cd\u5fa9\u56de\u6570\u3092\u5897\u3084\u3059\n        }\n    }\n\nprivate:\n    double calculate_iteration(int n) {\n        \/\/ \u9078\u629e\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b\u8a08\u7b97\n        return calculate_pi_chudnovsky(n);\n    }\n};<\/pre>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>\u30de\u30eb\u30c1\u30b9\u30ec\u30c3\u30c9\u51e6\u7406\u306e\u6700\u9069\u5316<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;thread&gt;\n#include &lt;future&gt;\n\nclass ParallelPiCalculator {\npublic:\n    double calculate(int total_iterations) {\n        unsigned int thread_count = std::thread::hardware_concurrency();\n        std::vector&lt;std::future&lt;double&gt;&gt; results;\n\n        \/\/ \u5404\u30b9\u30ec\u30c3\u30c9\u306e\u62c5\u5f53\u7bc4\u56f2\u3092\u8a08\u7b97\n        int iterations_per_thread = total_iterations \/ thread_count;\n\n        \/\/ \u30b9\u30ec\u30c3\u30c9\u306e\u8d77\u52d5\n        for (unsigned int i = 0; i &lt; thread_count; ++i) {\n            results.push_back(std::async(std::launch::async,\n                [=]() {\n                    return calculate_partial_sum(\n                        i * iterations_per_thread,\n                        (i + 1) * iterations_per_thread\n                    );\n                }\n            ));\n        }\n\n        \/\/ \u7d50\u679c\u306e\u96c6\u7d04\n        double final_result = 0.0;\n        for (auto&amp; future : results) {\n            final_result += future.get();\n        }\n\n        return final_result;\n    }\n\nprivate:\n    double calculate_partial_sum(int start, int end) {\n        \/\/ \u90e8\u5206\u548c\u306e\u8a08\u7b97\n        double sum = 0.0;\n        for (int i = start; i &lt; end; ++i) {\n            \/\/ \u9078\u629e\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b\u8a08\u7b97\n            sum += calculate_term(i);\n        }\n        return sum;\n    }\n};<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u308c\u3089\u306e\u6700\u9069\u5316\u30c6\u30af\u30cb\u30c3\u30af\u3092\u9069\u5207\u306b\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u3067\u3001\u03c0\u8a08\u7b97\u306e\u52b9\u7387\u3092\u5927\u5e45\u306b\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5b9f\u969b\u306e\u5b9f\u88c5\u3067\u306f\u4ee5\u4e0b\u306e\u70b9\u306b\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u306e\u7279\u6027\u306b\u5fdc\u3058\u305f\u6700\u9069\u5316\u306e\u9078\u629e<\/li>\n\n\n\n<li>\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u3068\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5<\/li>\n\n\n\n<li>\u4e26\u5217\u51e6\u7406\u306e\u30aa\u30fc\u30d0\u30fc\u30d8\u30c3\u30c9\u306e\u8003\u616e<\/li>\n\n\n\n<li>\u7cbe\u5ea6\u8981\u4ef6\u3068\u306e\u6574\u5408\u6027\u306e\u78ba\u4fdd<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-17\">\u767a\u5c55\u7684\u306a\u03c0\u306e\u8a08\u7b97\u624b\u6cd5\u3068\u30e9\u30a4\u30d6\u30e9\u30ea<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-18\">\u591a\u500d\u9577\u6f14\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u6d3b\u7528\u65b9\u6cd5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u9ad8\u7cbe\u5ea6\u306a\u03c0\u306e\u8a08\u7b97\u306b\u306f\u3001\u591a\u500d\u9577\u6f14\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u4ee3\u8868\u7684\u306a\u30e9\u30a4\u30d6\u30e9\u30ea\u3068\u305d\u306e\u4f7f\u7528\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>GNU Multiple Precision Arithmetic Library (GMP)<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;gmpxx.h&gt;\n#include &lt;iostream&gt;\n\nvoid calculate_pi_gmp(unsigned int precision) {\n    \/\/ \u7cbe\u5ea6\u306e\u8a2d\u5b9a\n    mpf_class::set_default_prec(precision);\n\n    \/\/ AGM\u6cd5\u306b\u3088\u308b\u03c0\u306e\u8a08\u7b97\n    mpf_class a(1);\n    mpf_class b(1\/sqrt(mpf_class(2)));\n    mpf_class t(0.25);\n    mpf_class p(1);\n\n    for (int i = 0; i &lt; 10; i++) {\n        mpf_class a_next = (a + b) \/ 2;\n        mpf_class b_next = sqrt(a * b);\n        mpf_class t_next = t - p * (a - a_next) * (a - a_next);\n        mpf_class p_next = 2 * p;\n\n        a = a_next;\n        b = b_next;\n        t = t_next;\n        p = p_next;\n    }\n\n    mpf_class pi = (a + b) * (a + b) \/ (4 * t);\n    std::cout &lt;&lt; std::setprecision(precision) &lt;&lt; pi &lt;&lt; std::endl;\n}<\/pre>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>MPFR (Multiple Precision Floating-Point Reliable Library)<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;mpfr.h&gt;\n#include &lt;iostream&gt;\n\nvoid calculate_pi_mpfr(unsigned int precision) {\n    mpfr_t pi;\n    mpfr_init2(pi, precision);  \/\/ \u7cbe\u5ea6\u3092\u30d3\u30c3\u30c8\u5358\u4f4d\u3067\u6307\u5b9a\n\n    \/\/ MPFR\u306e\u7d44\u307f\u8fbc\u307f\u95a2\u6570\u3067\u03c0\u3092\u8a08\u7b97\n    mpfr_const_pi(pi, MPFR_RNDN);\n\n    \/\/ \u7d50\u679c\u306e\u51fa\u529b\n    mpfr_out_str(stdout, 10, 0, pi, MPFR_RNDN);\n    std::cout &lt;&lt; std::endl;\n\n    mpfr_clear(pi);\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-19\">MPFR\/GMP\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u306e\u5b9f\u88c5\u4f8b<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u3088\u308a\u5b9f\u8df5\u7684\u306a\u9ad8\u7cbe\u5ea6\u03c0\u8a08\u7b97\u306e\u5b9f\u88c5\u4f8b\u3092\u793a\u3057\u307e\u3059\uff1a<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;mpfr.h&gt;\n#include &lt;iostream&gt;\n#include &lt;chrono&gt;\n\nclass HighPrecisionPi {\nprivate:\n    mpfr_t pi;\n    unsigned int precision;\n\npublic:\n    HighPrecisionPi(unsigned int prec) : precision(prec) {\n        mpfr_init2(pi, precision);\n    }\n\n    ~HighPrecisionPi() {\n        mpfr_clear(pi);\n    }\n\n    \/\/ \u30c1\u30e5\u30fc\u30c0\u30ce\u30d5\u30b9\u30ad\u30fc\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b\u8a08\u7b97\n    void calculate_chudnovsky() {\n        mpfr_t sum, term, C, L, X, M;\n        mpfr_init2(sum, precision);\n        mpfr_init2(term, precision);\n        mpfr_init2(C, precision);\n        mpfr_init2(L, precision);\n        mpfr_init2(X, precision);\n        mpfr_init2(M, precision);\n\n        \/\/ \u5b9a\u6570\u306e\u521d\u671f\u5316\n        mpfr_set_ui(C, 640320, MPFR_RNDN);\n        mpfr_pow_ui(C, C, 3, MPFR_RNDN);\n        mpfr_div_ui(C, C, 24, MPFR_RNDN);\n\n        \/\/ \u53cd\u5fa9\u8a08\u7b97\n        for (unsigned int k = 0; k &lt; precision\/14; k++) {\n            \/\/ \u9805\u306e\u8a08\u7b97\n            mpfr_fac_ui(M, k);\n            mpfr_mul_ui(M, M, 6 * k + 13591409, MPFR_RNDN);\n\n            mpfr_pow_ui(X, C, k, MPFR_RNDN);\n\n            if (k &gt; 0) {\n                mpfr_fac_ui(L, k);\n                mpfr_mul(L, L, L, MPFR_RNDN);\n                mpfr_mul(L, L, L, MPFR_RNDN);\n                mpfr_mul(X, X, L, MPFR_RNDN);\n            }\n\n            mpfr_div(term, M, X, MPFR_RNDN);\n\n            \/\/ \u7b26\u53f7\u306e\u8abf\u6574\u3068\u52a0\u7b97\n            if (k % 2 == 1) {\n                mpfr_neg(term, term, MPFR_RNDN);\n            }\n            mpfr_add(sum, sum, term, MPFR_RNDN);\n        }\n\n        \/\/ \u6700\u7d42\u7684\u306a\u03c0\u306e\u8a08\u7b97\n        mpfr_set_ui(pi, 426880, MPFR_RNDN);\n        mpfr_sqrt_ui(L, 10005, MPFR_RNDN);\n        mpfr_mul(pi, pi, L, MPFR_RNDN);\n        mpfr_div(pi, pi, sum, MPFR_RNDN);\n\n        \/\/ \u30e1\u30e2\u30ea\u306e\u89e3\u653e\n        mpfr_clear(sum);\n        mpfr_clear(term);\n        mpfr_clear(C);\n        mpfr_clear(L);\n        mpfr_clear(X);\n        mpfr_clear(M);\n    }\n\n    \/\/ \u7d50\u679c\u306e\u51fa\u529b\n    void print_result(unsigned int digits) {\n        mpfr_out_str(stdout, 10, digits, pi, MPFR_RNDN);\n        std::cout &lt;&lt; std::endl;\n    }\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-20\">\u5c06\u6765\u7684\u306a\u7814\u7a76\u52d5\u5411\u3068\u65b0\u3057\u3044\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u03c0\u8a08\u7b97\u306e\u7814\u7a76\u306f\u73fe\u5728\u3082\u9032\u884c\u4e2d\u3067\u3042\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u65b0\u3057\u3044\u65b9\u5411\u6027\u304c\u6ce8\u76ee\u3055\u308c\u3066\u3044\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6d3b\u7528<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\/\/ \u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u4f8b\nclass QuantumPiEstimator {\npublic:\n    static double estimate(int qubits) {\n        \/\/ \u91cf\u5b50\u72b6\u614b\u306e\u521d\u671f\u5316\n        std::vector&lt;std::complex&lt;double&gt;&gt; state(1 &lt;&lt; qubits);\n        initialize_quantum_state(state);\n\n        \/\/ \u91cf\u5b50\u30d5\u30fc\u30ea\u30a8\u5909\u63db\u306e\u9069\u7528\n        quantum_fourier_transform(state);\n\n        \/\/ \u6e2c\u5b9a\u3068\u7d50\u679c\u306e\u89e3\u91c8\n        return measure_and_interpret(state);\n    }\n\nprivate:\n    static void initialize_quantum_state(std::vector&lt;std::complex&lt;double&gt;&gt;&amp; state) {\n        \/\/ \u91cf\u5b50\u72b6\u614b\u306e\u521d\u671f\u5316\u30ed\u30b8\u30c3\u30af\n    }\n\n    static void quantum_fourier_transform(std::vector&lt;std::complex&lt;double&gt;&gt;&amp; state) {\n        \/\/ QFT\u306e\u5b9f\u88c5\n    }\n\n    static double measure_and_interpret(const std::vector&lt;std::complex&lt;double&gt;&gt;&amp; state) {\n        \/\/ \u6e2c\u5b9a\u7d50\u679c\u306e\u89e3\u91c8\n        return 0.0;  \/\/ \u5b9f\u88c5\u4e88\u5b9a\n    }\n};<\/pre>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>\u6a5f\u68b0\u5b66\u7fd2\u3092\u7528\u3044\u305f\u65b0\u3057\u3044\u30a2\u30d7\u30ed\u30fc\u30c1<\/li>\n<\/ol>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">class MLPiEstimator {\nprivate:\n    std::vector&lt;double&gt; training_data;\n    std::vector&lt;double&gt; weights;\n\npublic:\n    \/\/ \u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306b\u3088\u308b\u03c0\u306e\u63a8\u5b9a\n    double estimate() {\n        \/\/ \u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u30c7\u30fc\u30bf\u306e\u6e96\u5099\n        prepare_training_data();\n\n        \/\/ \u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u5b66\u7fd2\n        train_network();\n\n        \/\/ \u7d50\u679c\u306e\u4e88\u6e2c\n        return predict();\n    }\n\nprivate:\n    void prepare_training_data() {\n        \/\/ \u65e2\u77e5\u306e\u7cbe\u5ea6\u306e\u03c0\u306e\u5024\u3092\u4f7f\u7528\u3057\u3066\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u30c7\u30fc\u30bf\u3092\u751f\u6210\n    }\n\n    void train_network() {\n        \/\/ \u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u5b66\u7fd2\u51e6\u7406\n    }\n\n    double predict() {\n        \/\/ \u5b66\u7fd2\u6e08\u307f\u30e2\u30c7\u30eb\u306b\u3088\u308b\u4e88\u6e2c\n        return 0.0;  \/\/ \u5b9f\u88c5\u4e88\u5b9a\n    }\n};<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u73fe\u5728\u306e\u7814\u7a76\u30c8\u30ec\u30f3\u30c9\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5206\u6563\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u306e\u6d3b\u7528<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30af\u30e9\u30a6\u30c9\u30d9\u30fc\u30b9\u306e\u5927\u898f\u6a21\u8a08\u7b97<\/li>\n\n\n\n<li>\u30b0\u30ea\u30c3\u30c9\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u306e\u5fdc\u7528<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u65b0\u3057\u3044\u6570\u5b66\u7684\u30a2\u30d7\u30ed\u30fc\u30c1<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6574\u6570\u95a2\u4fc2\u5f0f\u306e\u63a2\u7d22<\/li>\n\n\n\n<li>\u65b0\u3057\u3044\u7d1a\u6570\u5c55\u958b\u306e\u767a\u898b<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u30a2\u30af\u30bb\u30e9\u30ec\u30fc\u30b7\u30e7\u30f3<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>GPGPU\u306e\u6d3b\u7528<\/li>\n\n\n\n<li>FPGA\u306b\u3088\u308b\u5c02\u7528\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u5b9f\u88c5<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u308c\u3089\u306e\u65b0\u3057\u3044\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u5c06\u6765\u7684\u306b\u03c0\u306e\u8a08\u7b97\u624b\u6cd5\u3092\u3055\u3089\u306b\u767a\u5c55\u3055\u305b\u308b\u53ef\u80fd\u6027\u3092\u79d8\u3081\u3066\u3044\u307e\u3059\u3002\u7279\u306b\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u3068\u6a5f\u68b0\u5b66\u7fd2\u306e\u7d44\u307f\u5408\u308f\u305b\u306f\u3001\u5f93\u6765\u3068\u306f\u5168\u304f\u7570\u306a\u308b\u8996\u70b9\u304b\u3089\u03c0\u306e\u8a08\u7b97\u306b\u53d6\u308a\u7d44\u3080\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Warning: Undefined array key &#8220;is_admin&#8221; in 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