{"id":2087,"date":"2025-03-24T08:48:20","date_gmt":"2025-03-23T23:48:20","guid":{"rendered":"https:\/\/dexall.co.jp\/articles\/?p=2087"},"modified":"2025-03-24T08:48:46","modified_gmt":"2025-03-23T23:48:46","slug":"c%e3%81%aeatan2%e9%96%a2%e6%95%b0%e5%ae%8c%e5%85%a8%e3%82%ac%e3%82%a4%e3%83%89%ef%bc%9a7%e3%81%a4%e3%81%ae%e5%ae%9f%e8%b7%b5%e7%9a%84%e3%81%aa%e4%bd%bf%e7%94%a8%e4%be%8b%e3%81%a8%e5%ae%9f%e8%a3%85","status":"publish","type":"post","link":"https:\/\/dexall.co.jp\/articles\/?p=2087","title":{"rendered":"C++\u306eatan2\u95a2\u6570\u5b8c\u5168\u30ac\u30a4\u30c9\uff1a7\u3064\u306e\u5b9f\u8df5\u7684\u306a\u4f7f\u7528\u4f8b\u3068\u5b9f\u88c5\u6642\u306e\u6ce8\u610f\u70b9"},"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\">atan2\u95a2\u6570\u306e\u57fa\u790e\u77e5\u8b58\u3068\u6570\u5b66\u7684\u80cc\u666f<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-1\">\u306a\u305catan()\u3067\u306f\u306a\u304fatan2()\u3092\u4f7f\u3046\u3079\u304d\u306a\u306e\u304b<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-2\">atan2\u95a2\u6570\u306e\u623b\u308a\u5024\u3068\u8c61\u9650\u7cfb\u306e\u95a2\u4fc2<\/a>      <\/li>    <\/ul>  <\/li>  <li>    <a href=\"#i-3\">C++\u3067\u306eatan2\u95a2\u6570\u306e\u6b63\u3057\u3044\u4f7f\u3044\u65b9<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-4\">atan2\u95a2\u6570\u306e\u57fa\u672c\u7684\u306a\u69cb\u6587\u3068\u5f15\u6570\u306e\u9806\u5e8f<\/a>      <\/li>      <li>        <a href=\"#i-5\">\u623b\u308a\u5024\u306e\u5358\u4f4d\u3068\u7bc4\u56f2\u3092\u7406\u89e3\u3059\u308b<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-6\">\u30a8\u30e9\u30fc\u51e6\u7406\u3068\u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\u306e\u5bfe\u5fdc\u65b9\u6cd5<\/a>      <\/li>    <\/ul>  <\/li>  <li>    <a href=\"#i-7\">\u5b9f\u8df5\u7684\u306aatan2\u95a2\u6570\u306e\u4f7f\u7528\u4f8b<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-8\">2\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306e\u89d2\u5ea6\u8a08\u7b97<\/a>      <\/li>      <li>        <a href=\"#i-9\">\u30b2\u30fc\u30e0\u958b\u767a\u3067\u306e\u7269\u4f53\u306e\u56de\u8ee2\u8a08\u7b97<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-10\">\u6975\u5ea7\u6a19\u5909\u63db\u3067\u306e\u6d3b\u7528\u65b9\u6cd5<\/a>      <\/li>    <\/ul>  <\/li>  <li>    <a href=\"#i-11\">atan2\u95a2\u6570\u4f7f\u7528\u6642\u306e\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u6700\u9069\u5316<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-12\">\u8a08\u7b97\u7cbe\u5ea6\u3068\u901f\u5ea6\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5<\/a>      <\/li>      <li>        <a href=\"#i-13\">SIMD\u547d\u4ee4\u3092\u6d3b\u7528\u3057\u305f\u6700\u9069\u5316\u624b\u6cd5<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-14\">\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u6bd4\u8f03<\/a>      <\/li>    <\/ul>  <\/li>  <li>    <a href=\"#i-15\">\u4e00\u822c\u7684\u306a\u5b9f\u88c5\u30df\u30b9\u3068\u89e3\u6c7a\u7b56<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-16\">\u5f15\u6570\u306e\u9806\u5e8f\u3092\u9593\u9055\u3048\u308b\u30b1\u30fc\u30b9<\/a>      <\/li>      <li>        <a href=\"#i-17\">\u89d2\u5ea6\u306e\u5358\u4f4d\u5909\u63db\u3092\u5fd8\u308c\u308b\u30b1\u30fc\u30b9<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-18\">\u30bc\u30ed\u9664\u7b97\u3092\u8003\u616e\u3057\u3066\u3044\u306a\u3044\u30b1\u30fc\u30b9<\/a>      <\/li>    <\/ul>  <\/li>  <li>    <a href=\"#i-19\">atan2\u95a2\u6570\u306e\u5b9f\u88c5\u4f8b\u3068\u6d3b\u7528\u30b7\u30fc\u30f3<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-20\">OpenGL\u3067\u306e3D\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u5b9f\u88c5<\/a>      <\/li>      <li>        <a href=\"#i-21\">\u30ed\u30dc\u30c3\u30c8\u5236\u5fa1\u3067\u306e\u89d2\u5ea6\u8a08\u7b97\u5b9f\u88c5<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-22\">\u753b\u50cf\u51e6\u7406\u3067\u306e\u7279\u5fb4\u70b9\u691c\u51fa\u5b9f\u88c5<\/a>      <\/li>    <\/ul>  <\/li>  <li class=\"last\">    <a href=\"#i-23\">\u95a2\u9023\u3059\u308b\u6570\u5b66\u95a2\u6570\u3068\u306e\u6bd4\u8f03\u3068\u5229\u7528<\/a>    <ul class=\"menu_level_1\">      <li class=\"first\">        <a href=\"#i-24\">\u4e09\u89d2\u95a2\u6570\u30d5\u30a1\u30df\u30ea\u30fc\u306e\u7279\u5fb4\u3068\u9078\u629e\u57fa\u6e96<\/a>      <\/li>      <li class=\"last\">        <a href=\"#i-25\">\u9ad8\u7cbe\u5ea6\u8a08\u7b97\u304c\u5fc5\u8981\u306a\u5834\u5408\u306e\u4ee3\u66ff\u624b\u6cd5<\/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\">atan2\u95a2\u6570\u306e\u57fa\u790e\u77e5\u8b58\u3068\u6570\u5b66\u7684\u80cc\u666f<\/h2>\n\n\n\n<p>atan2\u95a2\u6570\u306f\u30012\u6b21\u5143\u5e73\u9762\u4e0a\u306e\u70b9\u304b\u3089\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u969b\u306b\u975e\u5e38\u306b\u91cd\u8981\u306a\u6570\u5b66\u95a2\u6570\u3067\u3059\u3002\u3053\u306e\u95a2\u6570\u306e\u7406\u89e3\u3068\u9069\u5207\u306a\u4f7f\u7528\u306f\u3001\u30b2\u30fc\u30e0\u958b\u767a\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u3001\u30ed\u30dc\u30c3\u30c8\u5236\u5fa1\u306a\u3069\u3001\u591a\u304f\u306e\u5b9f\u8df5\u7684\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u5fc5\u8981\u4e0d\u53ef\u6b20\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-1\">\u306a\u305catan()\u3067\u306f\u306a\u304fatan2()\u3092\u4f7f\u3046\u3079\u304d\u306a\u306e\u304b<\/h3>\n\n\n\n<p>atan()\u3068atan2()\u306e\u4e3b\u306a\u9055\u3044\u306f\u3001\u4ee5\u4e0b\u306e\u70b9\u306b\u3042\u308a\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u8c61\u9650\u306e\u5224\u5b9a\u80fd\u529b<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>atan(): \u5f15\u6570\u30921\u3064\uff08y\/x\uff09\u306e\u307f\u53d6\u308a\u3001\u7d50\u679c\u306f-\u03c0\/2\u304b\u3089+\u03c0\/2\u306e\u7bc4\u56f2\u306b\u9650\u5b9a\u3055\u308c\u308b<\/li>\n\n\n\n<li>atan2(): \u5f15\u6570\u30922\u3064\uff08y, x\uff09\u53d6\u308a\u3001\u7d50\u679c\u306f-\u03c0\u304b\u3089+\u03c0\u306e\u5168\u7bc4\u56f2\u3092\u30ab\u30d0\u30fc\u3067\u304d\u308b<\/li>\n<\/ul>\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=\"\">\/\/ atan()\u306e\u5834\u5408\uff1a\u8c61\u9650\u306e\u5224\u5b9a\u304c\u3067\u304d\u306a\u3044\ndouble angle1 = std::atan(1.0);  \/\/ \u70b9(1,1)\u3068\u70b9(-1,-1)\u3092\u533a\u5225\u3067\u304d\u306a\u3044\n\n\/\/ atan2()\u306e\u5834\u5408\uff1a\u6b63\u78ba\u306a\u8c61\u9650\u306e\u5224\u5b9a\u304c\u53ef\u80fd\ndouble angle2 = std::atan2(1.0, 1.0);    \/\/ \u7b2c1\u8c61\u9650: 0.785... (\u03c0\/4)\ndouble angle3 = std::atan2(-1.0, -1.0);  \/\/ \u7b2c3\u8c61\u9650: -2.356... (-3\u03c0\/4)<\/pre>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li><strong>\u30bc\u30ed\u9664\u7b97\u306e\u56de\u907f<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>atan(): y\/x\u306e\u8a08\u7b97\u304c\u5fc5\u8981\u306a\u305f\u3081\u3001x=0\u306e\u5834\u5408\u306b\u30a8\u30e9\u30fc\u304c\u767a\u751f<\/li>\n\n\n\n<li>atan2(): \u5185\u90e8\u3067\u9069\u5207\u306a\u51e6\u7406\u3092\u884c\u3046\u305f\u3081\u3001x=0\u3067\u3082\u30a8\u30e9\u30fc\u304c\u767a\u751f\u3057\u306a\u3044<\/li>\n<\/ul>\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=\"\">\/\/ atan()\u306e\u5834\u5408\uff1ax=0\u3067\u30a8\u30e9\u30fc\ndouble y = 1.0;\ndouble x = 0.0;\n\/\/ double angle = std::atan(y\/x);  \/\/ \u30bc\u30ed\u9664\u7b97\u30a8\u30e9\u30fc!\n\n\/\/ atan2()\u306e\u5834\u5408\uff1a\u5b89\u5168\u306b\u8a08\u7b97\u53ef\u80fd\ndouble angle = std::atan2(y, x);  \/\/ \u03c0\/2\u3092\u8fd4\u3059<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-2\">atan2\u95a2\u6570\u306e\u623b\u308a\u5024\u3068\u8c61\u9650\u7cfb\u306e\u95a2\u4fc2<\/h3>\n\n\n\n<p>atan2\u95a2\u6570\u306f\u3001\u76f4\u4ea4\u5ea7\u6a19\u7cfb\uff08x,y\uff09\u304b\u3089\u6975\u5ea7\u6a19\u7cfb\uff08r,\u03b8\uff09\u3078\u306e\u5909\u63db\u306b\u304a\u3044\u3066\u3001\u89d2\u5ea6\u03b8\u3092\u8a08\u7b97\u3059\u308b\u969b\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u5404\u8c61\u9650\u3067\u306e\u623b\u308a\u5024\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n\n\n<div id=\"id-9643d6de-21c5-458c-8262-7d4b653d10d6\">\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u8c61\u9650<\/th><th>x\u5024<\/th><th>y\u5024<\/th><th>\u623b\u308a\u5024\u7bc4\u56f2<\/th><th>\u4f8b\uff08\u30e9\u30b8\u30a2\u30f3\uff09<\/th><\/tr><\/thead><tbody><tr><td>\u7b2c1\u8c61\u9650<\/td><td>\u6b63<\/td><td>\u6b63<\/td><td>0 to \u03c0\/2<\/td><td>atan2(1,1) \u2248 0.785<\/td><\/tr><tr><td>\u7b2c2\u8c61\u9650<\/td><td>\u8ca0<\/td><td>\u6b63<\/td><td>\u03c0\/2 to \u03c0<\/td><td>atan2(1,-1) \u2248 2.356<\/td><\/tr><tr><td>\u7b2c3\u8c61\u9650<\/td><td>\u8ca0<\/td><td>\u8ca0<\/td><td>-\u03c0 to -\u03c0\/2<\/td><td>atan2(-1,-1) \u2248 -2.356<\/td><\/tr><tr><td>\u7b2c4\u8c61\u9650<\/td><td>\u6b63<\/td><td>\u8ca0<\/td><td>-\u03c0\/2 to 0<\/td><td>atan2(-1,1) \u2248 -0.785<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n<p>\u6ce8\u610f\u3059\u3079\u304d\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\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=\"\">std::atan2(0.0, 0.0);   \/\/ \u5b9a\u7fa9\u4e0a\u306f0\u3092\u8fd4\u3059\uff08\u5b9f\u88c5\u4f9d\u5b58\uff09\nstd::atan2(1.0, 0.0);   \/\/ \u03c0\/2\uff0890\u5ea6\uff09\u3092\u8fd4\u3059\nstd::atan2(-1.0, 0.0);  \/\/ -\u03c0\/2\uff08-90\u5ea6\uff09\u3092\u8fd4\u3059\nstd::atan2(0.0, -1.0);  \/\/ \u03c0\u307e\u305f\u306f-\u03c0\uff08180\u5ea6\u307e\u305f\u306f-180\u5ea6\uff09\u3092\u8fd4\u3059<\/pre>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u3001atan2\u95a2\u6570\u306f\u5ea7\u6a19\u304b\u3089\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u969b\u306e\u69d8\u3005\u306a\u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\u3092\u9069\u5207\u306b\u51e6\u7406\u3067\u304d\u308b\u3001\u5b9f\u7528\u7684\u3067\u4fe1\u983c\u6027\u306e\u9ad8\u3044\u95a2\u6570\u3067\u3059\u3002\u7279\u306b\u3001\u30b2\u30fc\u30e0\u958b\u767a\u3084\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u51e6\u7406\u306b\u304a\u3044\u3066\u3001\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u56de\u8ee2\u3084\u65b9\u5411\u306e\u8a08\u7b97\u306b\u5e83\u304f\u6d3b\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-3\">C++\u3067\u306eatan2\u95a2\u6570\u306e\u6b63\u3057\u3044\u4f7f\u3044\u65b9<\/h2>\n\n\n\n<p>C++\u3067atan2\u95a2\u6570\u3092\u52b9\u679c\u7684\u306b\u4f7f\u7528\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u9069\u5207\u306a\u69cb\u6587\u7406\u89e3\u3068\u5b9f\u88c5\u4e0a\u306e\u6ce8\u610f\u70b9\u3092\u628a\u63e1\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u5b9f\u8df5\u7684\u306a\u4f7f\u7528\u65b9\u6cd5\u3068\u30d9\u30b9\u30c8\u30d7\u30e9\u30af\u30c6\u30a3\u30b9\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-4\">atan2\u95a2\u6570\u306e\u57fa\u672c\u7684\u306a\u69cb\u6587\u3068\u5f15\u6570\u306e\u9806\u5e8f<\/h3>\n\n\n\n<p>atan2\u95a2\u6570\u306f\u3001C++\u306e\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea<code>&lt;cmath&gt;<\/code>\u306b\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u57fa\u672c\u7684\u306a\u69cb\u6587\u306f\u4ee5\u4e0b\u306e\u901a\u308a\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\n\/\/ \u57fa\u672c\u7684\u306a\u69cb\u6587\ndouble std::atan2(double y, double x);\n\n\/\/ float\u30d0\u30fc\u30b8\u30e7\u30f3\nfloat std::atan2f(float y, float x);\n\n\/\/ long double\u30d0\u30fc\u30b8\u30e7\u30f3\nlong double std::atan2l(long double y, long double x);<\/pre>\n\n\n\n<p>\u91cd\u8981\u306a\u6ce8\u610f\u70b9\u3068\u3057\u3066\u3001\u5f15\u6570\u306e\u9806\u5e8f\u306f\u5fc5\u305a<strong>y\u5ea7\u6a19\u304c\u5148\u3001x\u5ea7\u6a19\u304c\u5f8c<\/strong>\u3068\u306a\u308a\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=\"\">\/\/ \u6b63\u3057\u3044\u4f7f\u7528\u4f8b\ndouble angle = std::atan2(y_coord, x_coord);\n\n\/\/ \u3088\u304f\u3042\u308b\u9593\u9055\u3044\uff08x, y\u306e\u9806\u5e8f\u304c\u9006\uff09\ndouble wrong_angle = std::atan2(x_coord, y_coord);  \/\/ \u8aa4\u3063\u305f\u7d50\u679c\u306b\u306a\u308a\u307e\u3059\uff01<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-5\">\u623b\u308a\u5024\u306e\u5358\u4f4d\u3068\u7bc4\u56f2\u3092\u7406\u89e3\u3059\u308b<\/h3>\n\n\n\n<p>atan2\u95a2\u6570\u306e\u623b\u308a\u5024\u306f\u4ee5\u4e0b\u306e\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5358\u4f4d<\/strong>: \u30e9\u30b8\u30a2\u30f3\uff08\u5f27\u5ea6\u6cd5\uff09<\/li>\n\n\n\n<li><strong>\u7bc4\u56f2<\/strong>: [-\u03c0, \u03c0]<\/li>\n<\/ol>\n\n\n\n<p>\u5b9f\u969b\u306e\u30b3\u30fc\u30c9\u3067\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u5358\u4f4d\u5909\u63db\u306e\u4f8b\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;numbers&gt; \/\/ C++20\u4ee5\u964d\u3067\u5229\u7528\u53ef\u80fd\n\n\/\/ \u30e9\u30b8\u30a2\u30f3\u304b\u3089\u5ea6\u3078\u306e\u5909\u63db\ndouble radiansToDegrees(double radians) {\n    return radians * 180.0 \/ M_PI;  \/\/ C++17\u4ee5\u524d\n    \/\/ return radians * 180.0 \/ std::numbers::pi;  \/\/ C++20\u4ee5\u964d\n}\n\n\/\/ \u5ea6\u304b\u3089\u30e9\u30b8\u30a2\u30f3\u3078\u306e\u5909\u63db\ndouble degreesToRadians(double degrees) {\n    return degrees * M_PI \/ 180.0;  \/\/ C++17\u4ee5\u524d\n    \/\/ return degrees * std::numbers::pi \/ 180.0;  \/\/ C++20\u4ee5\u964d\n}\n\n\/\/ \u4f7f\u7528\u4f8b\ndouble angle_rad = std::atan2(1.0, 1.0);           \/\/ \u2248 0.785... rad (\u03c0\/4)\ndouble angle_deg = radiansToDegrees(angle_rad);    \/\/ \u2248 45.0 degrees<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-6\">\u30a8\u30e9\u30fc\u51e6\u7406\u3068\u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\u306e\u5bfe\u5fdc\u65b9\u6cd5<\/h3>\n\n\n\n<p>atan2\u95a2\u6570\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\u306b\u6ce8\u610f\u304c\u5fc5\u8981\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;limits&gt;\n\nclass AngleCalculator {\npublic:\n    static double calculateAngle(double y, double x) {\n        \/\/ \u7121\u9650\u5927\u306e\u30c1\u30a7\u30c3\u30af\n        if (std::isinf(x) || std::isinf(y)) {\n            return std::numeric_limits&lt;double&gt;::quiet_NaN();\n        }\n\n        \/\/ NaN\u306e\u30c1\u30a7\u30c3\u30af\n        if (std::isnan(x) || std::isnan(y)) {\n            return std::numeric_limits&lt;double&gt;::quiet_NaN();\n        }\n\n        \/\/ \u30bc\u30ed\u4ed8\u8fd1\u306e\u5024\u306e\u51e6\u7406\uff08\u6570\u5024\u306e\u4e0d\u5b89\u5b9a\u6027\u3092\u907f\u3051\u308b\u305f\u3081\uff09\n        const double epsilon = 1e-10;\n        if (std::abs(x) &lt; epsilon &amp;&amp; std::abs(y) &lt; epsilon) {\n            return 0.0;  \/\/ \u307e\u305f\u306f\u7528\u9014\u306b\u5fdc\u3058\u305f\u9069\u5207\u306a\u5024\n        }\n\n        return std::atan2(y, x);\n    }\n\n    \/\/ \u89d2\u5ea6\u3092[-\u03c0, \u03c0]\u306e\u7bc4\u56f2\u306b\u6b63\u898f\u5316\n    static double normalizeAngle(double angle) {\n        while (angle &gt; M_PI) {\n            angle -= 2.0 * M_PI;\n        }\n        while (angle &lt;= -M_PI) {\n            angle += 2.0 * M_PI;\n        }\n        return angle;\n    }\n};\n\n\/\/ \u4f7f\u7528\u4f8b\nvoid example() {\n    double angle1 = AngleCalculator::calculateAngle(1.0, 0.0);  \/\/ \u03c0\/2\n    double angle2 = AngleCalculator::calculateAngle(0.0, 0.0);  \/\/ 0.0\n    double angle3 = AngleCalculator::calculateAngle(\n        std::numeric_limits&lt;double&gt;::infinity(), \n        1.0\n    );  \/\/ NaN\n}<\/pre>\n\n\n\n<p>\u3053\u306e\u30af\u30e9\u30b9\u306f\u4ee5\u4e0b\u306e\u6a5f\u80fd\u3092\u63d0\u4f9b\u3057\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u7121\u9650\u5927\u5024\u306e\u691c\u51fa\u3068\u51e6\u7406<\/li>\n\n\n\n<li>NaN\uff08\u975e\u6570\uff09\u306e\u691c\u51fa\u3068\u51e6\u7406<\/li>\n\n\n\n<li>\u30bc\u30ed\u4ed8\u8fd1\u306e\u5024\u306e\u9069\u5207\u306a\u51e6\u7406<\/li>\n\n\n\n<li>\u89d2\u5ea6\u306e\u6b63\u898f\u5316<\/li>\n<\/ol>\n\n\n\n<p>\u5b9f\u88c5\u6642\u306e\u63a8\u5968\u30d7\u30e9\u30af\u30c6\u30a3\u30b9\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5e38\u306b\u5f15\u6570\u306e\u9806\u5e8f\uff08y, x\uff09\u3092\u610f\u8b58\u3059\u308b<\/li>\n\n\n\n<li>\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u9069\u5207\u306a\u5358\u4f4d\u5909\u63db\u3092\u884c\u3046<\/li>\n\n\n\n<li>\u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\u3092\u8003\u616e\u3057\u305f\u30a8\u30e9\u30fc\u51e6\u7406\u3092\u5b9f\u88c5\u3059\u308b<\/li>\n\n\n\n<li>\u6570\u5024\u306e\u5b89\u5b9a\u6027\u3092\u8003\u616e\u3057\u305f\u5b9f\u88c5\u3092\u5fc3\u304c\u3051\u308b<\/li>\n<\/ol>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u57fa\u672c\u7684\u306a\u4f7f\u7528\u65b9\u6cd5\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001atan2\u95a2\u6570\u3092\u52b9\u679c\u7684\u306b\u6d3b\u7528\u3067\u304d\u307e\u3059\u3002\u6b21\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u3088\u308a\u5b9f\u8df5\u7684\u306a\u4f7f\u7528\u4f8b\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-7\">\u5b9f\u8df5\u7684\u306aatan2\u95a2\u6570\u306e\u4f7f\u7528\u4f8b<\/h2>\n\n\n\n<p>atan2\u95a2\u6570\u306f\u69d8\u3005\u306a\u5b9f\u8df5\u7684\u306a\u30b7\u30ca\u30ea\u30aa\u3067\u6d3b\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u5b9f\u969b\u306e\u958b\u767a\u3067\u3088\u304f\u906d\u9047\u3059\u308b\u5177\u4f53\u7684\u306a\u4f7f\u7528\u4f8b\u3068\u305d\u306e\u5b9f\u88c5\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-8\">2\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306e\u89d2\u5ea6\u8a08\u7b97<\/h3>\n\n\n\n<p>2D\u7a7a\u9593\u3067\u306e\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u4f8b\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\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\nclass Vector2D {\npublic:\n    double x, y;\n\n    Vector2D(double x = 0.0, double y = 0.0) : x(x), y(y) {}\n\n    \/\/ \u30d9\u30af\u30c8\u30eb\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\uff08\u30e9\u30b8\u30a2\u30f3\uff09\n    double getAngle() const {\n        return std::atan2(y, x);\n    }\n\n    \/\/ \u6307\u5b9a\u3057\u305f\u89d2\u5ea6\u3060\u3051\u56de\u8ee2\u3055\u305b\u305f\u65b0\u3057\u3044\u30d9\u30af\u30c8\u30eb\u3092\u8fd4\u3059\n    Vector2D rotate(double angle) const {\n        double cos_a = std::cos(angle);\n        double sin_a = std::sin(angle);\n        return Vector2D(\n            x * cos_a - y * sin_a,\n            x * sin_a + y * cos_a\n        );\n    }\n\n    \/\/ 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u89d2\u5ea6\u3092\u8a08\u7b97\n    static double angleBetween(const Vector2D&amp; v1, const Vector2D&amp; v2) {\n        return std::atan2(v2.y, v2.x) - std::atan2(v1.y, v1.x);\n    }\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-9\">\u30b2\u30fc\u30e0\u958b\u767a\u3067\u306e\u7269\u4f53\u306e\u56de\u8ee2\u8a08\u7b97<\/h3>\n\n\n\n<p>\u30b2\u30fc\u30e0\u958b\u767a\u3067\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u3001\u30d7\u30ec\u30a4\u30e4\u30fc\u3084NPC\u306e\u5411\u304d\u3092\u5236\u5fa1\u3059\u308b\u4f8b\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=\"\">class GameObject {\nprivate:\n    Vector2D position;\n    double rotation;  \/\/ \u73fe\u5728\u306e\u56de\u8ee2\u89d2\u5ea6\uff08\u30e9\u30b8\u30a2\u30f3\uff09\n\npublic:\n    GameObject(double x = 0.0, double y = 0.0) \n        : position(x, y), rotation(0.0) {}\n\n    \/\/ \u30bf\u30fc\u30b2\u30c3\u30c8\u306e\u65b9\u5411\u3092\u5411\u304f\n    void lookAt(const Vector2D&amp; target) {\n        \/\/ \u73fe\u5728\u4f4d\u7f6e\u304b\u3089\u30bf\u30fc\u30b2\u30c3\u30c8\u3078\u306e\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\n        Vector2D direction(\n            target.x - position.x,\n            target.y - position.y\n        );\n\n        \/\/ \u65b0\u3057\u3044\u56de\u8ee2\u89d2\u5ea6\u3092\u8a08\u7b97\n        rotation = std::atan2(direction.y, direction.x);\n    }\n\n    \/\/ \u30b9\u30e0\u30fc\u30ba\u306a\u56de\u8ee2\u3092\u884c\u3046\n    void smoothLookAt(const Vector2D&amp; target, double turnSpeed) {\n        Vector2D direction(\n            target.x - position.x,\n            target.y - position.y\n        );\n\n        double targetAngle = std::atan2(direction.y, direction.x);\n        double angleDiff = targetAngle - rotation;\n\n        \/\/ \u89d2\u5ea6\u5dee\u3092-\u03c0\u304b\u3089\u03c0\u306e\u7bc4\u56f2\u306b\u6b63\u898f\u5316\n        while (angleDiff &gt; M_PI) angleDiff -= 2.0 * M_PI;\n        while (angleDiff &lt;= -M_PI) angleDiff += 2.0 * M_PI;\n\n        \/\/ \u30b9\u30e0\u30fc\u30ba\u306a\u88dc\u9593\n        rotation += angleDiff * turnSpeed;\n    }\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-10\">\u6975\u5ea7\u6a19\u5909\u63db\u3067\u306e\u6d3b\u7528\u65b9\u6cd5<\/h3>\n\n\n\n<p>\u6975\u5ea7\u6a19\u7cfb\u3068\u76f4\u4ea4\u5ea7\u6a19\u7cfb\u306e\u5909\u63db\u3092\u884c\u3046\u5b9f\u88c5\u4f8b\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=\"\">class PolarCoordinate {\npublic:\n    double r;     \/\/ \u534a\u5f84\n    double theta; \/\/ \u89d2\u5ea6\uff08\u30e9\u30b8\u30a2\u30f3\uff09\n\n    PolarCoordinate(double r = 0.0, double theta = 0.0) \n        : r(r), theta(theta) {}\n\n    \/\/ \u6975\u5ea7\u6a19\u304b\u3089\u76f4\u4ea4\u5ea7\u6a19\u3078\u306e\u5909\u63db\n    Vector2D toCartesian() const {\n        return Vector2D(\n            r * std::cos(theta),\n            r * std::sin(theta)\n        );\n    }\n\n    \/\/ \u76f4\u4ea4\u5ea7\u6a19\u304b\u3089\u6975\u5ea7\u6a19\u3078\u306e\u5909\u63db\n    static PolarCoordinate fromCartesian(const Vector2D&amp; v) {\n        double r = std::sqrt(v.x * v.x + v.y * v.y);\n        double theta = std::atan2(v.y, v.x);\n        return PolarCoordinate(r, theta);\n    }\n\n    \/\/ \u6975\u5ea7\u6a19\u3067\u306e\u56de\u8ee2\uff08\u89d2\u5ea6\u306e\u52a0\u7b97\uff09\n    void rotate(double angle) {\n        theta += angle;\n        \/\/ \u89d2\u5ea6\u3092-\u03c0\u304b\u3089\u03c0\u306e\u7bc4\u56f2\u306b\u6b63\u898f\u5316\n        while (theta &gt; M_PI) theta -= 2.0 * M_PI;\n        while (theta &lt;= -M_PI) theta += 2.0 * M_PI;\n    }\n};\n\n\/\/ \u4f7f\u7528\u4f8b\nvoid polarCoordinateExample() {\n    \/\/ \u76f4\u4ea4\u5ea7\u6a19\u3067\u306e\u70b9\n    Vector2D point(3.0, 4.0);\n\n    \/\/ \u6975\u5ea7\u6a19\u306b\u5909\u63db\n    PolarCoordinate polar = PolarCoordinate::fromCartesian(point);\n    std::cout &lt;&lt; \"Radius: \" &lt;&lt; polar.r &lt;&lt; \", Angle: \" &lt;&lt; polar.theta &lt;&lt; std::endl;\n\n    \/\/ 90\u5ea6\uff08\u03c0\/2\u30e9\u30b8\u30a2\u30f3\uff09\u56de\u8ee2\n    polar.rotate(M_PI \/ 2.0);\n\n    \/\/ \u76f4\u4ea4\u5ea7\u6a19\u306b\u623b\u3059\n    Vector2D rotated = polar.toCartesian();\n    std::cout &lt;&lt; \"Rotated X: \" &lt;&lt; rotated.x &lt;&lt; \", Y: \" &lt;&lt; rotated.y &lt;&lt; std::endl;\n}<\/pre>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u5b9f\u88c5\u4f8b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5b9f\u969b\u306e\u958b\u767a\u30b7\u30fc\u30f3\u3067\u6d3b\u7528\u3067\u304d\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30b2\u30fc\u30e0\u958b\u767a<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30d7\u30ec\u30a4\u30e4\u30fc\u30ad\u30e3\u30e9\u30af\u30bf\u30fc\u306e\u5411\u304d\u306e\u5236\u5fa1<\/li>\n\n\n\n<li>\u5f3e\u9053\u8a08\u7b97<\/li>\n\n\n\n<li>NPC\u306e\u79fb\u52d5\u30d1\u30bf\u30fc\u30f3\u5236\u5fa1<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u56de\u8ee2<\/li>\n\n\n\n<li>\u30d1\u30fc\u30c6\u30a3\u30af\u30eb\u30b7\u30b9\u30c6\u30e0\u306e\u5236\u5fa1<\/li>\n\n\n\n<li>\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u5236\u5fa1<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7269\u7406\u6f14\u7b97<\/li>\n\n\n\n<li>\u8ecc\u9053\u8a08\u7b97<\/li>\n\n\n\n<li>\u30bb\u30f3\u30b5\u30fc\u30c7\u30fc\u30bf\u306e\u51e6\u7406<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u5b9f\u88c5\u4f8b\u306f\u3001\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u62e1\u5f35\u3084\u6700\u9069\u5316\u304c\u53ef\u80fd\u3067\u3059\u3002\u5b9f\u969b\u306e\u4f7f\u7528\u6642\u306b\u306f\u3001\u7528\u9014\u306b\u5fdc\u3058\u3066\u9069\u5207\u306a\u30a8\u30e9\u30fc\u51e6\u7406\u3084\u5883\u754c\u5024\u30c1\u30a7\u30c3\u30af\u3092\u8ffd\u52a0\u3059\u308b\u3053\u3068\u3092\u63a8\u5968\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-11\">atan2\u95a2\u6570\u4f7f\u7528\u6642\u306e\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u6700\u9069\u5316<\/h2>\n\n\n\n<p>atan2\u95a2\u6570\u306f\u4e09\u89d2\u95a2\u6570\u306e\u8a08\u7b97\u3092\u542b\u3080\u305f\u3081\u3001\u8a08\u7b97\u30b3\u30b9\u30c8\u304c\u6bd4\u8f03\u7684\u9ad8\u3044\u64cd\u4f5c\u306e\u4e00\u3064\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u5b9f\u8df5\u7684\u306a\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u6700\u9069\u5316\u624b\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-12\">\u8a08\u7b97\u7cbe\u5ea6\u3068\u901f\u5ea6\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5<\/h3>\n\n\n\n<p>atan2\u95a2\u6570\u306e\u8a08\u7b97\u306b\u306f\u3001\u7cbe\u5ea6\u3068\u901f\u5ea6\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5\u304c\u5b58\u5728\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u3001\u7570\u306a\u308b\u6700\u9069\u5316\u30a2\u30d7\u30ed\u30fc\u30c1\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;cmath&gt;\n#include &lt;algorithm&gt;\n\nclass FastMath {\npublic:\n    \/\/ \u9ad8\u901f\u306a\u8fd1\u4f3c\u8a08\u7b97\u306b\u3088\u308batan2\u5b9f\u88c5\n    static double fastAtan2(double y, double x) {\n        \/\/ \u5b9a\u6570\n        constexpr double ONEQTR_PI = M_PI \/ 4.0;\n        constexpr double THRQTR_PI = 3.0 * M_PI \/ 4.0;\n\n        double r, angle;\n        double abs_y = std::abs(y) + 1e-10; \/\/ 0\u9664\u7b97\u3092\u9632\u3050\n\n        if (x &lt; 0.0) {\n            r = (x + abs_y) \/ (abs_y - x);\n            angle = THRQTR_PI;\n        } else {\n            r = (x - abs_y) \/ (x + abs_y);\n            angle = ONEQTR_PI;\n        }\n\n        angle += (0.1963 * r * r - 0.9817) * r;\n        return y &lt; 0.0 ? -angle : angle;\n    }\n\n    \/\/ \u3088\u308a\u9ad8\u7cbe\u5ea6\u3060\u304c\u82e5\u5e72\u9045\u3044\u5b9f\u88c5\n    static double mediumAtan2(double y, double x) {\n        if (x == 0.0) {\n            if (y &gt; 0.0) return M_PI \/ 2.0;\n            if (y &lt; 0.0) return -M_PI \/ 2.0;\n            return 0.0;\n        }\n\n        double atan = std::atan(y \/ x);\n        if (x &lt; 0.0) {\n            return y &gt;= 0.0 ? atan + M_PI : atan - M_PI;\n        }\n        return atan;\n    }\n\n    \/\/ \u30eb\u30c3\u30af\u30a2\u30c3\u30d7\u30c6\u30fc\u30d6\u30eb\u3092\u4f7f\u7528\u3057\u305f\u5b9f\u88c5\n    class LUTAtan2 {\n    private:\n        static constexpr int TABLE_SIZE = 1024;\n        static constexpr double TABLE_SCALE = TABLE_SIZE \/ (2.0 * M_PI);\n        double lookupTable[TABLE_SIZE];\n\n    public:\n        LUTAtan2() {\n            \/\/ \u30eb\u30c3\u30af\u30a2\u30c3\u30d7\u30c6\u30fc\u30d6\u30eb\u306e\u521d\u671f\u5316\n            for (int i = 0; i &lt; TABLE_SIZE; ++i) {\n                double angle = 2.0 * M_PI * i \/ TABLE_SIZE;\n                lookupTable[i] = std::atan2(std::sin(angle), std::cos(angle));\n            }\n        }\n\n        double compute(double y, double x) {\n            double angle = std::atan2(y, x);\n            int index = static_cast&lt;int&gt;((angle + M_PI) * TABLE_SCALE) % TABLE_SIZE;\n            return lookupTable[index];\n        }\n    };\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-13\">SIMD\u547d\u4ee4\u3092\u6d3b\u7528\u3057\u305f\u6700\u9069\u5316\u624b\u6cd5<\/h3>\n\n\n\n<p>\u73fe\u4ee3\u306e\u30d7\u30ed\u30bb\u30c3\u30b5\u306eSIMD\u547d\u4ee4\u3092\u6d3b\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u8907\u6570\u306eatan2\u8a08\u7b97\u3092\u540c\u6642\u306b\u51e6\u7406\u3067\u304d\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;immintrin.h&gt;\n\nclass SimdMath {\npublic:\n    \/\/ SSE2\u3092\u4f7f\u7528\u3057\u305f4\u3064\u306e\u540c\u6642\u8a08\u7b97\n    static void atan2_4(float* y, float* x, float* results) {\n        __m128 ymm = _mm_load_ps(y);\n        __m128 xmm = _mm_load_ps(x);\n\n        \/\/ \u7b26\u53f7\u3092\u4fdd\u5b58\n        __m128 sign_mask = _mm_and_ps(\n            ymm,\n            _mm_set1_ps(-0.0f)\n        );\n\n        \/\/ \u7d76\u5bfe\u5024\u3092\u8a08\u7b97\n        ymm = _mm_andnot_ps(_mm_set1_ps(-0.0f), ymm);\n        xmm = _mm_andnot_ps(_mm_set1_ps(-0.0f), xmm);\n\n        \/\/ z = y\/x \u306e\u8fd1\u4f3c\u8a08\u7b97\n        __m128 z = _mm_div_ps(ymm, xmm);\n\n        \/\/ \u591a\u9805\u5f0f\u8fd1\u4f3c\u306b\u3088\u308b\u8a08\u7b97\n        __m128 z2 = _mm_mul_ps(z, z);\n        __m128 poly = _mm_add_ps(\n            _mm_mul_ps(\n                _mm_set1_ps(-0.0464964749),\n                z2\n            ),\n            _mm_set1_ps(0.15931422)\n        );\n        poly = _mm_add_ps(\n            _mm_mul_ps(poly, z2),\n            _mm_set1_ps(-0.327622764)\n        );\n        poly = _mm_add_ps(\n            _mm_mul_ps(poly, z2),\n            _mm_mul_ps(_mm_set1_ps(1.0f), z)\n        );\n\n        \/\/ \u7b26\u53f7\u3092\u623b\u3059\n        poly = _mm_xor_ps(poly, sign_mask);\n\n        \/\/ \u7d50\u679c\u3092\u4fdd\u5b58\n        _mm_store_ps(results, poly);\n    }\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-14\">\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u6bd4\u8f03<\/h3>\n\n\n\n<p>\u4ee5\u4e0b\u306f\u3001\u7570\u306a\u308b\u5b9f\u88c5\u65b9\u6cd5\u306e\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u6bd4\u8f03\u3067\u3059\uff1a<\/p>\n\n\n<div id=\"id-728b76b5-e9f9-4ce7-81f0-3d64330a5e9e\">\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u5b9f\u88c5\u65b9\u6cd5<\/th><th>\u76f8\u5bfe\u901f\u5ea6<\/th><th>\u7cbe\u5ea6 (\u5e73\u5747\u8aa4\u5dee)<\/th><th>\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf<\/th><\/tr><\/thead><tbody><tr><td>std::atan2<\/td><td>1.0x<\/td><td>\u57fa\u6e96<\/td><td>\u6700\u5c0f<\/td><\/tr><tr><td>fastAtan2<\/td><td>2.5-3.0x<\/td><td>~0.1\u5ea6<\/td><td>\u6700\u5c0f<\/td><\/tr><tr><td>mediumAtan2<\/td><td>1.2-1.5x<\/td><td>~0.01\u5ea6<\/td><td>\u6700\u5c0f<\/td><\/tr><tr><td>LUTAtan2<\/td><td>3.0-4.0x<\/td><td>\u30c6\u30fc\u30d6\u30eb\u30b5\u30a4\u30ba\u306b\u4f9d\u5b58<\/td><td>\u5927<\/td><\/tr><tr><td>SIMD\u5b9f\u88c5<\/td><td>3.5-4.0x<\/td><td>~0.1\u5ea6<\/td><td>\u4e2d<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n<p>\u6700\u9069\u5316\u306e\u9078\u629e\u57fa\u6e96\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u9ad8\u7cbe\u5ea6\u304c\u5fc5\u8981\u306a\u5834\u5408<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6a19\u6e96\u306estd::atan2\u3092\u4f7f\u7528<\/li>\n\n\n\n<li>mediumAtan2\u3092\u4f7f\u7528<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u901f\u5ea6\u304c\u91cd\u8981\u306a\u5834\u5408<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>fastAtan2\u3092\u4f7f\u7528<\/li>\n\n\n\n<li>LUTAtan2\u3092\u4f7f\u7528\uff08\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u3092\u8003\u616e\uff09<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30d0\u30c3\u30c1\u51e6\u7406\u306e\u5834\u5408<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>SIMD\u5b9f\u88c5\u3092\u4f7f\u7528<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30e1\u30e2\u30ea\u5236\u7d04\u304c\u3042\u308b\u5834\u5408<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>fastAtan2\u3092\u4f7f\u7528<\/li>\n\n\n\n<li>mediumAtan2\u3092\u4f7f\u7528<\/li>\n<\/ul>\n\n\n\n<p>\u5b9f\u88c5\u6642\u306e\u6ce8\u610f\u70b9\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6700\u9069\u5316\u306e\u524d\u306b\u3001\u672c\u5f53\u306batan2\u304c\u30dc\u30c8\u30eb\u30cd\u30c3\u30af\u306b\u306a\u3063\u3066\u3044\u308b\u304b\u78ba\u8a8d\u3059\u308b<\/li>\n\n\n\n<li>\u30d7\u30ed\u30d5\u30a1\u30a4\u30ea\u30f3\u30b0\u30c4\u30fc\u30eb\u3092\u4f7f\u7528\u3057\u3066\u52b9\u679c\u3092\u6e2c\u5b9a\u3059\u308b<\/li>\n\n\n\n<li>\u7528\u9014\u306b\u5fdc\u3058\u3066\u9069\u5207\u306a\u7cbe\u5ea6\u3068\u901f\u5ea6\u306e\u30d0\u30e9\u30f3\u30b9\u3092\u9078\u629e\u3059\u308b<\/li>\n\n\n\n<li>SIMD\u5b9f\u88c5\u306f\u30d7\u30e9\u30c3\u30c8\u30d5\u30a9\u30fc\u30e0\u4f9d\u5b58\u306b\u306a\u308b\u305f\u3081\u3001\u5fc5\u8981\u306b\u5fdc\u3058\u3066\u30d5\u30a9\u30fc\u30eb\u30d0\u30c3\u30af\u5b9f\u88c5\u3092\u7528\u610f\u3059\u308b<\/li>\n<\/ol>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u6700\u9069\u5316\u624b\u6cd5\u306f\u3001\u7279\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5834\u9762\u3067\u52b9\u679c\u3092\u767a\u63ee\u3057\u307e\u3059\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30ea\u30a2\u30eb\u30bf\u30a4\u30e03D\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u51e6\u7406<\/li>\n\n\n\n<li>\u7269\u7406\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/li>\n\n\n\n<li>\u4fe1\u53f7\u51e6\u7406<\/li>\n\n\n\n<li>\u753b\u50cf\u51e6\u7406<\/li>\n\n\n\n<li>\u30b2\u30fc\u30e0\u30a8\u30f3\u30b8\u30f3<\/li>\n<\/ul>\n\n\n\n<p>\u6700\u9069\u5316\u306e\u63a1\u7528\u306f\u3001\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u8981\u4ef6\u3068\u5236\u7d04\u3092\u614e\u91cd\u306b\u8003\u616e\u3057\u305f\u4e0a\u3067\u5224\u65ad\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-15\">\u4e00\u822c\u7684\u306a\u5b9f\u88c5\u30df\u30b9\u3068\u89e3\u6c7a\u7b56<\/h2>\n\n\n\n<p>atan2\u95a2\u6570\u306e\u4f7f\u7528\u306b\u304a\u3044\u3066\u3001\u958b\u767a\u8005\u304c\u3088\u304f\u906d\u9047\u3059\u308b\u5b9f\u88c5\u30df\u30b9\u3068\u305d\u306e\u89e3\u6c7a\u7b56\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u77e5\u8b58\u306f\u3001\u30d0\u30b0\u306e\u65e9\u671f\u767a\u898b\u3068\u4e88\u9632\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-16\">\u5f15\u6570\u306e\u9806\u5e8f\u3092\u9593\u9055\u3048\u308b\u30b1\u30fc\u30b9<\/h3>\n\n\n\n<p>\u6700\u3082\u4e00\u822c\u7684\u306a\u30df\u30b9\u306e\u4e00\u3064\u304c\u3001\u5f15\u6570\u306e\u9806\u5e8f\u3092\u9593\u9055\u3048\u308b\u3053\u3068\u3067\u3059\u3002<\/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=\"\">class AngleCalculator {\npublic:\n    \/\/ \u8aa4\u3063\u305f\u5b9f\u88c5\u4f8b\n    static double calculateAngleWrong(const Point&amp; start, const Point&amp; end) {\n        double dx = end.x - start.x;\n        double dy = end.y - start.y;\n        return std::atan2(dx, dy);  \/\/ \u9593\u9055\u3044\uff1ax, y\u306e\u9806\u5e8f\u304c\u9006\n    }\n\n    \/\/ \u6b63\u3057\u3044\u5b9f\u88c5\u4f8b\n    static double calculateAngleCorrect(const Point&amp; start, const Point&amp; end) {\n        double dx = end.x - start.x;\n        double dy = end.y - start.y;\n        return std::atan2(dy, dx);  \/\/ \u6b63\u3057\u3044\uff1ay, x\u306e\u9806\u5e8f\n    }\n\n    \/\/ \u3088\u308a\u5b89\u5168\u306a\u5b9f\u88c5\u4f8b\uff08\u578b\u5b89\u5168\u6027\u3092\u78ba\u4fdd\uff09\n    struct Vector2D {\n        double x, y;\n        double getAngle() const {\n            return std::atan2(y, x);  \/\/ \u30ab\u30d7\u30bb\u30eb\u5316\u306b\u3088\u308a\u9806\u5e8f\u30df\u30b9\u3092\u9632\u6b62\n        }\n    };\n};\n\n\/\/ \u4f7f\u7528\u4f8b\u3068\u30c6\u30b9\u30c8\nvoid testAngleCalculation() {\n    Point start{0, 0}, end{1, 1};\n\n    double wrong_angle = AngleCalculator::calculateAngleWrong(start, end);\n    double correct_angle = AngleCalculator::calculateAngleCorrect(start, end);\n\n    \/\/ \u7d50\u679c\u3092\u6bd4\u8f03\uff08\u7d0490\u5ea6\u306e\u5dee\u304c\u51fa\u308b\uff09\n    std::cout &lt;&lt; \"Wrong angle: \" &lt;&lt; wrong_angle * 180.0 \/ M_PI &lt;&lt; \"\u00b0\\n\";\n    std::cout &lt;&lt; \"Correct angle: \" &lt;&lt; correct_angle * 180.0 \/ M_PI &lt;&lt; \"\u00b0\\n\";\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-17\">\u89d2\u5ea6\u306e\u5358\u4f4d\u5909\u63db\u3092\u5fd8\u308c\u308b\u30b1\u30fc\u30b9<\/h3>\n\n\n\n<p>\u30e9\u30b8\u30a2\u30f3\u3068\u5ea6\u306e\u5909\u63db\u3092\u9069\u5207\u306b\u884c\u308f\u306a\u3044\u3053\u3068\u306b\u3088\u308b\u554f\u984c\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=\"\">class AngleConverter {\npublic:\n    \/\/ \u5b89\u5168\u306a\u89d2\u5ea6\u5909\u63db\u3092\u63d0\u4f9b\u3059\u308b\u30e6\u30fc\u30c6\u30a3\u30ea\u30c6\u30a3\u30af\u30e9\u30b9\n    static constexpr double RAD_TO_DEG = 180.0 \/ M_PI;\n    static constexpr double DEG_TO_RAD = M_PI \/ 180.0;\n\n    \/\/ \u578b\u5b89\u5168\u306a\u89d2\u5ea6\u30af\u30e9\u30b9\n    class Angle {\n    private:\n        double radians;\n\n    public:\n        \/\/ \u30e9\u30b8\u30a2\u30f3\u304b\u3089\u751f\u6210\n        static Angle fromRadians(double rad) {\n            return Angle(rad);\n        }\n\n        \/\/ \u5ea6\u304b\u3089\u751f\u6210\n        static Angle fromDegrees(double deg) {\n            return Angle(deg * DEG_TO_RAD);\n        }\n\n        \/\/ atan2\u304b\u3089\u76f4\u63a5\u751f\u6210\n        static Angle fromAtan2(double y, double x) {\n            return Angle(std::atan2(y, x));\n        }\n\n        \/\/ \u5024\u306e\u53d6\u5f97\n        double toRadians() const { return radians; }\n        double toDegrees() const { return radians * RAD_TO_DEG; }\n\n    private:\n        explicit Angle(double rad) : radians(rad) {}\n    };\n};\n\n\/\/ \u4f7f\u7528\u4f8b\nvoid angleConversionExample() {\n    \/\/ \u6b63\u3057\u3044\u4f7f\u7528\u4f8b\n    auto angle = AngleConverter::Angle::fromAtan2(1.0, 1.0);\n    std::cout &lt;&lt; \"Angle in degrees: \" &lt;&lt; angle.toDegrees() &lt;&lt; \"\u00b0\\n\";\n    std::cout &lt;&lt; \"Angle in radians: \" &lt;&lt; angle.toRadians() &lt;&lt; \" rad\\n\";\n\n    \/\/ \u56de\u8ee2\u884c\u5217\u3067\u306e\u4f7f\u7528\u4f8b\n    double cos_theta = std::cos(angle.toRadians());\n    double sin_theta = std::sin(angle.toRadians());\n}<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-18\">\u30bc\u30ed\u9664\u7b97\u3092\u8003\u616e\u3057\u3066\u3044\u306a\u3044\u30b1\u30fc\u30b9<\/h3>\n\n\n\n<p>\u30bc\u30ed\u9664\u7b97\u306e\u554f\u984c\u3092\u9069\u5207\u306b\u51e6\u7406\u3059\u308b\u5b9f\u88c5\u4f8b\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=\"\">class SafeAngleCalculator {\npublic:\n    struct AngleResult {\n        double angle;\n        bool isValid;\n        std::string errorMessage;\n    };\n\n    static AngleResult calculateSafeAngle(double y, double x) {\n        const double epsilon = 1e-10;  \/\/ \u8a31\u5bb9\u8aa4\u5dee\n\n        \/\/ \u4e21\u65b9\u306e\u5024\u304c0\u306b\u8fd1\u3044\u5834\u5408\n        if (std::abs(x) &lt; epsilon &amp;&amp; std::abs(y) &lt; epsilon) {\n            return {0.0, false, \"Both coordinates are too close to zero\"};\n        }\n\n        \/\/ \u7121\u9650\u5927\u306e\u30c1\u30a7\u30c3\u30af\n        if (std::isinf(x) || std::isinf(y)) {\n            return {0.0, false, \"Infinite value detected\"};\n        }\n\n        \/\/ NaN\u306e\u30c1\u30a7\u30c3\u30af\n        if (std::isnan(x) || std::isnan(y)) {\n            return {0.0, false, \"NaN value detected\"};\n        }\n\n        return {std::atan2(y, x), true, \"\"};\n    }\n\n    \/\/ \u6570\u5024\u306e\u5b89\u5b9a\u6027\u3092\u8003\u616e\u3057\u305f\u5b9f\u88c5\n    static double calculateStableAngle(double y, double x) {\n        const double epsilon = 1e-10;\n\n        \/\/ \u6570\u5024\u306e\u6b63\u898f\u5316\n        double max_val = std::max(std::abs(x), std::abs(y));\n        if (max_val &gt; epsilon) {\n            y \/= max_val;\n            x \/= max_val;\n        }\n\n        return std::atan2(y, x);\n    }\n};\n\n\/\/ \u30c6\u30b9\u30c8\u30b1\u30fc\u30b9\nvoid testSafeAngleCalculation() {\n    \/\/ \u901a\u5e38\u306e\u30b1\u30fc\u30b9\n    auto result1 = SafeAngleCalculator::calculateSafeAngle(1.0, 1.0);\n    if (result1.isValid) {\n        std::cout &lt;&lt; \"Valid angle: \" &lt;&lt; result1.angle &lt;&lt; \"\\n\";\n    }\n\n    \/\/ \u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\n    auto result2 = SafeAngleCalculator::calculateSafeAngle(0.0, 0.0);\n    if (!result2.isValid) {\n        std::cout &lt;&lt; \"Error: \" &lt;&lt; result2.errorMessage &lt;&lt; \"\\n\";\n    }\n\n    \/\/ \u6570\u5024\u306e\u5b89\u5b9a\u6027\u3092\u30c6\u30b9\u30c8\n    double stable_angle = SafeAngleCalculator::calculateStableAngle(1e-15, 1e-15);\n    std::cout &lt;&lt; \"Stable angle: \" &lt;&lt; stable_angle &lt;&lt; \"\\n\";\n}<\/pre>\n\n\n\n<p>\u5b9f\u88c5\u6642\u306e\u30d9\u30b9\u30c8\u30d7\u30e9\u30af\u30c6\u30a3\u30b9\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u578b\u5b89\u5168\u6027\u306e\u78ba\u4fdd<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5c02\u7528\u306e\u30af\u30e9\u30b9\u3084struct\u3092\u4f7f\u7528<\/li>\n\n\n\n<li>\u5f15\u6570\u306e\u9806\u5e8f\u3092\u30ab\u30d7\u30bb\u30eb\u5316<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u5358\u4f4d\u5909\u63db\u306e\u660e\u793a\u7684\u306a\u51e6\u7406<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5909\u63db\u7528\u306e\u30e6\u30fc\u30c6\u30a3\u30ea\u30c6\u30a3\u95a2\u6570\u306e\u4f7f\u7528<\/li>\n\n\n\n<li>\u578b\u306b\u3088\u308b\u5358\u4f4d\u306e\u533a\u5225<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\u306e\u51e6\u7406<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30bc\u30ed\u8fd1\u508d\u306e\u5024\u306e\u9069\u5207\u306a\u51e6\u7406<\/li>\n\n\n\n<li>\u7121\u9650\u5927\u3084NaN\u306e\u691c\u51fa<\/li>\n\n\n\n<li>\u6570\u5024\u306e\u5b89\u5b9a\u6027\u306e\u78ba\u4fdd<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30c6\u30b9\u30c8\u306e\u5145\u5b9f<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30e6\u30cb\u30c3\u30c8\u30c6\u30b9\u30c8\u306e\u4f5c\u6210<\/li>\n\n\n\n<li>\u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\u306e\u30c6\u30b9\u30c8<\/li>\n\n\n\n<li>\u6570\u5024\u306e\u7cbe\u5ea6\u30c6\u30b9\u30c8<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u5b9f\u88c5\u30d1\u30bf\u30fc\u30f3\u3092\u9069\u5207\u306b\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u5805\u7262\u306a\u30b3\u30fc\u30c9\u3092\u4f5c\u6210\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-19\">atan2\u95a2\u6570\u306e\u5b9f\u88c5\u4f8b\u3068\u6d3b\u7528\u30b7\u30fc\u30f3<\/h2>\n\n\n\n<p>atan2\u95a2\u6570\u306f\u69d8\u3005\u306a\u5206\u91ce\u3067\u5b9f\u8df5\u7684\u306b\u6d3b\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u5177\u4f53\u7684\u306a\u5b9f\u88c5\u4f8b\u3068\u6d3b\u7528\u30b7\u30fc\u30f3\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-20\">OpenGL\u3067\u306e3D\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u5b9f\u88c5<\/h3>\n\n\n\n<p>3D\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u306b\u304a\u3051\u308b\u30ab\u30e1\u30e9\u306e\u5236\u5fa1\u3084\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u56de\u8ee2\u8a08\u7b97\u3067\u306e\u4f7f\u7528\u4f8b\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=\"\">class Camera3D {\nprivate:\n    glm::vec3 position;\n    float yaw;   \/\/ \u6c34\u5e73\u56de\u8ee2\u89d2\n    float pitch; \/\/ \u5782\u76f4\u56de\u8ee2\u89d2\n\npublic:\n    Camera3D(const glm::vec3&amp; pos = glm::vec3(0.0f)) \n        : position(pos), yaw(0.0f), pitch(0.0f) {}\n\n    \/\/ \u30de\u30a6\u30b9\u5165\u529b\u304b\u3089\u30ab\u30e1\u30e9\u306e\u5411\u304d\u3092\u8a08\u7b97\n    void updateRotation(float mouseX, float mouseY, float sensitivity = 0.1f) {\n        \/\/ \u30de\u30a6\u30b9\u306e\u79fb\u52d5\u91cf\u304b\u3089\u56de\u8ee2\u89d2\u3092\u8a08\u7b97\n        yaw += mouseX * sensitivity;\n        pitch = std::clamp(pitch + mouseY * sensitivity, -89.0f, 89.0f);\n\n        \/\/ \u8996\u7dda\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\n        glm::vec3 direction;\n        direction.x = std::cos(glm::radians(yaw)) * std::cos(glm::radians(pitch));\n        direction.y = std::sin(glm::radians(pitch));\n        direction.z = std::sin(glm::radians(yaw)) * std::cos(glm::radians(pitch));\n\n        \/\/ \u30d3\u30e5\u30fc\u884c\u5217\u3092\u66f4\u65b0\n        updateViewMatrix(glm::normalize(direction));\n    }\n\n    \/\/ \u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u7279\u5b9a\u306e\u70b9\u306b\u5411\u304b\u305b\u308b\n    void lookAt(const glm::vec3&amp; target) {\n        glm::vec3 direction = target - position;\n\n        \/\/ atan2\u3092\u4f7f\u7528\u3057\u3066\u6c34\u5e73\u89d2\u3092\u8a08\u7b97\n        yaw = glm::degrees(std::atan2(direction.z, direction.x));\n\n        \/\/ \u5782\u76f4\u89d2\u3092\u8a08\u7b97\n        float horizontalDistance = std::sqrt(\n            direction.x * direction.x + direction.z * direction.z\n        );\n        pitch = glm::degrees(std::atan2(direction.y, horizontalDistance));\n\n        \/\/ \u30d3\u30e5\u30fc\u884c\u5217\u3092\u66f4\u65b0\n        updateViewMatrix(glm::normalize(direction));\n    }\n\nprivate:\n    void updateViewMatrix(const glm::vec3&amp; direction) {\n        \/\/ OpenGL\u306e\u30d3\u30e5\u30fc\u884c\u5217\u3092\u66f4\u65b0\n        glm::mat4 view = glm::lookAt(\n            position,\n            position + direction,\n            glm::vec3(0.0f, 1.0f, 0.0f)\n        );\n        \/\/ \u30b7\u30a7\u30fc\u30c0\u30fc\u306b\u884c\u5217\u3092\u9001\u4fe1\n        \/\/ shader.setMat4(\"view\", view);\n    }\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-21\">\u30ed\u30dc\u30c3\u30c8\u5236\u5fa1\u3067\u306e\u89d2\u5ea6\u8a08\u7b97\u5b9f\u88c5<\/h3>\n\n\n\n<p>\u30ed\u30dc\u30c3\u30c8\u30a2\u30fc\u30e0\u306e\u9006\u904b\u52d5\u5b66\u8a08\u7b97\u3067\u306e\u4f7f\u7528\u4f8b\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=\"\">class RobotArm {\npublic:\n    struct Joint {\n        double angle;      \/\/ \u95a2\u7bc0\u89d2\u5ea6\n        double length;     \/\/ \u30ea\u30f3\u30af\u9577\n        glm::vec2 position; \/\/ \u95a2\u7bc0\u4f4d\u7f6e\n    };\n\nprivate:\n    std::vector&lt;Joint&gt; joints;\n\npublic:\n    RobotArm(const std::vector&lt;double&gt;&amp; lengths) {\n        joints.resize(lengths.size());\n        for (size_t i = 0; i &lt; lengths.size(); ++i) {\n            joints[i].length = lengths[i];\n            joints[i].angle = 0.0;\n            joints[i].position = glm::vec2(0.0);\n        }\n    }\n\n    \/\/ \u9806\u904b\u52d5\u5b66: \u5404\u95a2\u7bc0\u306e\u4f4d\u7f6e\u3092\u8a08\u7b97\n    void updateForwardKinematics() {\n        glm::vec2 pos(0.0);\n        double totalAngle = 0.0;\n\n        for (size_t i = 0; i &lt; joints.size(); ++i) {\n            totalAngle += joints[i].angle;\n            pos.x += joints[i].length * std::cos(totalAngle);\n            pos.y += joints[i].length * std::sin(totalAngle);\n            joints[i].position = pos;\n        }\n    }\n\n    \/\/ 2\u30ea\u30f3\u30af\u30a2\u30fc\u30e0\u306e\u9006\u904b\u52d5\u5b66\u8a08\u7b97\n    bool calculateInverseKinematics(const glm::vec2&amp; target) {\n        if (joints.size() != 2) return false;\n\n        double l1 = joints[0].length;\n        double l2 = joints[1].length;\n        double targetDist = glm::length(target);\n\n        \/\/ \u5230\u9054\u53ef\u80fd\u6027\u30c1\u30a7\u30c3\u30af\n        if (targetDist &gt; l1 + l2) return false;\n        if (targetDist &lt; std::abs(l1 - l2)) return false;\n\n        \/\/ \u7b2c2\u95a2\u7bc0\u89d2\u5ea6\u306e\u8a08\u7b97\n        double cos_theta2 = (targetDist * targetDist - l1 * l1 - l2 * l2) \n                           \/ (2 * l1 * l2);\n        joints[1].angle = std::acos(std::clamp(cos_theta2, -1.0, 1.0));\n\n        \/\/ \u7b2c1\u95a2\u7bc0\u89d2\u5ea6\u306e\u8a08\u7b97\n        double theta1 = std::atan2(target.y, target.x) - \n                       std::atan2(l2 * std::sin(joints[1].angle),\n                                l1 + l2 * std::cos(joints[1].angle));\n        joints[0].angle = theta1;\n\n        updateForwardKinematics();\n        return true;\n    }\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-22\">\u753b\u50cf\u51e6\u7406\u3067\u306e\u7279\u5fb4\u70b9\u691c\u51fa\u5b9f\u88c5<\/h3>\n\n\n\n<p>\u753b\u50cf\u51e6\u7406\u306b\u304a\u3051\u308b\u52fe\u914d\u65b9\u5411\u306e\u8a08\u7b97\u4f8b\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=\"\">class GradientDetector {\npublic:\n    struct Gradient {\n        double magnitude;\n        double direction;\n    };\n\n    \/\/ Sobel\u52fe\u914d\u8a08\u7b97\n    static std::vector&lt;std::vector&lt;Gradient&gt;&gt; calculateGradients(\n        const std::vector&lt;std::vector&lt;uint8_t&gt;&gt;&amp; image\n    ) {\n        int height = image.size();\n        int width = image[0].size();\n        std::vector&lt;std::vector&lt;Gradient&gt;&gt; gradients(\n            height, std::vector&lt;Gradient&gt;(width)\n        );\n\n        \/\/ Sobel\u30ab\u30fc\u30cd\u30eb\n        const int sobel_x[3][3] = {{-1, 0, 1},\n                                  {-2, 0, 2},\n                                  {-1, 0, 1}};\n\n        const int sobel_y[3][3] = {{-1, -2, -1},\n                                  { 0,  0,  0},\n                                  { 1,  2,  1}};\n\n        \/\/ \u52fe\u914d\u8a08\u7b97\n        for (int y = 1; y &lt; height - 1; ++y) {\n            for (int x = 1; x &lt; width - 1; ++x) {\n                double gx = 0.0, gy = 0.0;\n\n                \/\/ 3x3\u306e\u7573\u307f\u8fbc\u307f\n                for (int ky = -1; ky &lt;= 1; ++ky) {\n                    for (int kx = -1; kx &lt;= 1; ++kx) {\n                        double pixel = static_cast&lt;double&gt;(\n                            image[y + ky][x + kx]\n                        );\n                        gx += pixel * sobel_x[ky + 1][kx + 1];\n                        gy += pixel * sobel_y[ky + 1][kx + 1];\n                    }\n                }\n\n                \/\/ \u52fe\u914d\u306e\u5927\u304d\u3055\u3068\u65b9\u5411\u3092\u8a08\u7b97\n                gradients[y][x].magnitude = std::sqrt(gx * gx + gy * gy);\n                gradients[y][x].direction = std::atan2(gy, gx);\n            }\n        }\n\n        return gradients;\n    }\n\n    \/\/ \u30a8\u30c3\u30b8\u306e\u691c\u51fa\u3068\u65b9\u5411\u306e\u8a08\u7b97\n    static std::vector&lt;std::pair&lt;glm::vec2, double&gt;&gt; detectEdges(\n        const std::vector&lt;std::vector&lt;uint8_t&gt;&gt;&amp; image,\n        double threshold\n    ) {\n        auto gradients = calculateGradients(image);\n        std::vector&lt;std::pair&lt;glm::vec2, double&gt;&gt; edges;\n\n        for (size_t y = 1; y &lt; gradients.size() - 1; ++y) {\n            for (size_t x = 1; x &lt; gradients[y].size() - 1; ++x) {\n                if (gradients[y][x].magnitude &gt; threshold) {\n                    edges.emplace_back(\n                        glm::vec2(x, y),\n                        gradients[y][x].direction\n                    );\n                }\n            }\n        }\n\n        return edges;\n    }\n};<\/pre>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u5b9f\u88c5\u4f8b\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5b9f\u969b\u306e\u5fdc\u7528\u30b7\u30fc\u30f3\u3067\u6d3b\u7528\u3067\u304d\u307e\u3059\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>3D\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30ab\u30e1\u30e9\u306e\u8996\u70b9\u5236\u5fa1<\/li>\n\n\n\n<li>\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u56de\u8ee2\u5236\u5fa1<\/li>\n\n\n\n<li>\u30d1\u30fc\u30c6\u30a3\u30af\u30eb\u306e\u8ecc\u9053\u8a08\u7b97<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30ed\u30dc\u30c3\u30c8\u5236\u5fa1<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30a2\u30fc\u30e0\u306e\u4f4d\u7f6e\u5236\u5fa1<\/li>\n\n\n\n<li>\u7d4c\u8def\u8a08\u753b<\/li>\n\n\n\n<li>\u59ff\u52e2\u5236\u5fa1<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u753b\u50cf\u51e6\u7406<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30a8\u30c3\u30b8\u691c\u51fa<\/li>\n\n\n\n<li>\u7279\u5fb4\u70b9\u8ffd\u8de1<\/li>\n\n\n\n<li>\u30d1\u30bf\u30fc\u30f3\u8a8d\u8b58<\/li>\n<\/ul>\n\n\n\n<p>\u5b9f\u88c5\u6642\u306e\u6ce8\u610f\u70b9\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6570\u5024\u306e\u7cbe\u5ea6\u3068\u5b89\u5b9a\u6027\u306e\u78ba\u4fdd<\/li>\n\n\n\n<li>\u30a8\u30c3\u30b8\u30b1\u30fc\u30b9\u306e\u9069\u5207\u306a\u51e6\u7406<\/li>\n\n\n\n<li>\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306e\u6700\u9069\u5316<\/li>\n\n\n\n<li>\u30a8\u30e9\u30fc\u51e6\u7406\u306e\u5b9f\u88c5<\/li>\n<\/ol>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u5b9f\u88c5\u4f8b\u306f\u3001\u57fa\u672c\u7684\u306a\u5f62\u5f0f\u3092\u793a\u3057\u305f\u3082\u306e\u3067\u3059\u3002\u5b9f\u969b\u306e\u4f7f\u7528\u6642\u306b\u306f\u3001\u5177\u4f53\u7684\u306a\u8981\u4ef6\u306b\u5fdc\u3058\u3066\u9069\u5207\u306b\u30ab\u30b9\u30bf\u30de\u30a4\u30ba\u3059\u308b\u3053\u3068\u3092\u63a8\u5968\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"i-23\">\u95a2\u9023\u3059\u308b\u6570\u5b66\u95a2\u6570\u3068\u306e\u6bd4\u8f03\u3068\u5229\u7528<\/h2>\n\n\n\n<p>\u4e09\u89d2\u95a2\u6570\u30d5\u30a1\u30df\u30ea\u30fc\u306e\u4e2d\u3067\u306eatan2\u95a2\u6570\u306e\u4f4d\u7f6e\u3065\u3051\u3068\u3001\u95a2\u9023\u3059\u308b\u6570\u5b66\u95a2\u6570\u3068\u306e\u4f7f\u3044\u5206\u3051\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-24\">\u4e09\u89d2\u95a2\u6570\u30d5\u30a1\u30df\u30ea\u30fc\u306e\u7279\u5fb4\u3068\u9078\u629e\u57fa\u6e96<\/h3>\n\n\n\n<p>\u4e09\u89d2\u95a2\u6570\u306b\u306f\u69d8\u3005\u306a\u7a2e\u985e\u304c\u3042\u308a\u3001\u7528\u9014\u306b\u5fdc\u3058\u3066\u9069\u5207\u306a\u95a2\u6570\u3092\u9078\u629e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\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;cmath&gt;\n#include &lt;iostream&gt;\n\nclass TrigonometricUtils {\npublic:\n    \/\/ \u89d2\u5ea6\u8a08\u7b97\u306e\u30e6\u30fc\u30c6\u30a3\u30ea\u30c6\u30a3\u96c6\n    struct AngleCalculator {\n        \/\/ \u76f4\u4ea4\u5ea7\u6a19\u304b\u3089\u6975\u5ea7\u6a19\u3078\u306e\u5909\u63db\n        static std::pair&lt;double, double&gt; cartesianToPolar(double x, double y) {\n            double r = std::sqrt(x * x + y * y);\n            double theta = std::atan2(y, x);\n            return {r, theta};\n        }\n\n        \/\/ \u6975\u5ea7\u6a19\u304b\u3089\u76f4\u4ea4\u5ea7\u6a19\u3078\u306e\u5909\u63db\n        static std::pair&lt;double, double&gt; polarToCartesian(double r, double theta) {\n            double x = r * std::cos(theta);\n            double y = r * std::sin(theta);\n            return {x, y};\n        }\n    };\n\n    \/\/ \u5404\u4e09\u89d2\u95a2\u6570\u306e\u7279\u5fb4\u3092\u793a\u3059\u6bd4\u8f03\u8868\n    static void printTrigFunctionComparison() {\n        std::cout &lt;&lt; \"\u4e09\u89d2\u95a2\u6570\u6bd4\u8f03\uff1a\\n\";\n        std::cout &lt;&lt; \"1. atan2(y, x):\\n\"\n                  &lt;&lt; \"   - \u7bc4\u56f2: [-\u03c0, \u03c0]\\n\"\n                  &lt;&lt; \"   - \u7279\u5fb4: \u8c61\u9650\u3092\u6b63\u3057\u304f\u5224\u5b9a\\n\"\n                  &lt;&lt; \"   - \u7528\u9014: \u89d2\u5ea6\u8a08\u7b97\u5168\u822c\\n\\n\";\n\n        std::cout &lt;&lt; \"2. atan(y\/x):\\n\"\n                  &lt;&lt; \"   - \u7bc4\u56f2: [-\u03c0\/2, \u03c0\/2]\\n\"\n                  &lt;&lt; \"   - \u7279\u5fb4: \u8c61\u9650\u306e\u60c5\u5831\u304c\u5931\u308f\u308c\u308b\\n\"\n                  &lt;&lt; \"   - \u7528\u9014: \u9650\u5b9a\u7684\u306a\u89d2\u5ea6\u8a08\u7b97\\n\\n\";\n\n        std::cout &lt;&lt; \"3. asin(x):\\n\"\n                  &lt;&lt; \"   - \u7bc4\u56f2: [-\u03c0\/2, \u03c0\/2]\\n\"\n                  &lt;&lt; \"   - \u7279\u5fb4: \u5165\u529b\u306f[-1, 1]\u306b\u5236\u9650\\n\"\n                  &lt;&lt; \"   - \u7528\u9014: \u6b63\u898f\u5316\u3055\u308c\u305f\u5024\u306e\u89d2\u5ea6\u8a08\u7b97\\n\\n\";\n\n        std::cout &lt;&lt; \"4. acos(x):\\n\"\n                  &lt;&lt; \"   - \u7bc4\u56f2: [0, \u03c0]\\n\"\n                  &lt;&lt; \"   - \u7279\u5fb4: \u5165\u529b\u306f[-1, 1]\u306b\u5236\u9650\\n\"\n                  &lt;&lt; \"   - \u7528\u9014: \u5185\u7a4d\u304b\u3089\u306e\u89d2\u5ea6\u8a08\u7b97\\n\";\n    }\n\n    \/\/ \u7528\u9014\u5225\u306e\u95a2\u6570\u9078\u629e\u4f8b\n    class UseCaseExamples {\n    public:\n        \/\/ 2\u3064\u306e\u30d9\u30af\u30c8\u30eb\u9593\u306e\u89d2\u5ea6\u8a08\u7b97\uff08acos\u4f7f\u7528\uff09\n        static double angleBetweenVectors(\n            double x1, double y1, \n            double x2, double y2\n        ) {\n            \/\/ \u5185\u7a4d\u3092\u8a08\u7b97\n            double dot = x1 * x2 + y1 * y2;\n            \/\/ \u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u3092\u8a08\u7b97\n            double len1 = std::sqrt(x1 * x1 + y1 * y1);\n            double len2 = std::sqrt(x2 * x2 + y2 * y2);\n            \/\/ \u89d2\u5ea6\u3092\u8a08\u7b97\n            return std::acos(dot \/ (len1 * len2));\n        }\n\n        \/\/ \u65b9\u5411\u30d9\u30af\u30c8\u30eb\u306e\u89d2\u5ea6\u8a08\u7b97\uff08atan2\u4f7f\u7528\uff09\n        static double vectorDirection(double x, double y) {\n            return std::atan2(y, x);\n        }\n\n        \/\/ \u6b63\u898f\u5316\u3055\u308c\u305f\u5024\u304b\u3089\u306e\u89d2\u5ea6\u8a08\u7b97\uff08asin\u4f7f\u7528\uff09\n        static double normalizedToAngle(double value) {\n            return std::asin(std::clamp(value, -1.0, 1.0));\n        }\n    };\n};\n\n\/\/ \u9ad8\u7cbe\u5ea6\u306a\u89d2\u5ea6\u8a08\u7b97\u304c\u5fc5\u8981\u306a\u5834\u5408\u306e\u5b9f\u88c5\nclass HighPrecisionAngle {\nprivate:\n    \/\/ \u500d\u7cbe\u5ea6\u3092\u8d85\u3048\u308b\u7cbe\u5ea6\u304c\u5fc5\u8981\u306a\u5834\u5408\u306e\u5b9f\u88c5\n    struct ExtendedPrecision {\n        double high;\n        double low;\n    };\n\npublic:\n    \/\/ Kahan\u548c\u7b97\u3092\u4f7f\u7528\u3057\u305f\u9ad8\u7cbe\u5ea6\u89d2\u5ea6\u8a08\u7b97\n    static ExtendedPrecision preciseAtan2(double y, double x) {\n        ExtendedPrecision result = {0.0, 0.0};\n\n        \/\/ \u57fa\u672c\u7684\u306a\u89d2\u5ea6\u8a08\u7b97\n        double basic_angle = std::atan2(y, x);\n\n        \/\/ \u6b8b\u5dee\u306e\u8a08\u7b97\n        double cos_theta = std::cos(basic_angle);\n        double sin_theta = std::sin(basic_angle);\n\n        double dx = x - cos_theta;\n        double dy = y - sin_theta;\n\n        \/\/ \u88dc\u6b63\u89d2\u5ea6\u306e\u8a08\u7b97\n        double correction = std::atan2(dy, dx);\n\n        result.high = basic_angle;\n        result.low = correction;\n\n        return result;\n    }\n\n    \/\/ \u4efb\u610f\u7cbe\u5ea6\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u4f7f\u7528\u3059\u308b\u5834\u5408\u306e\u4f8b\n    template&lt;typename T&gt;\n    static T arbitraryPrecisionAtan2(T y, T x) {\n        \/\/ \u4efb\u610f\u7cbe\u5ea6\u30e9\u30a4\u30d6\u30e9\u30ea\uff08\u4f8b\uff1aboost::multiprecision\uff09\u3092\u4f7f\u7528\u3057\u305f\u5b9f\u88c5\n        \/\/ \u3053\u3053\u3067\u306f\u6982\u5ff5\u7684\u306a\u5b9f\u88c5\u306e\u307f\u793a\u3059\n        if (x == T(0)) {\n            if (y &gt; T(0)) return T(\"1.5707963267948966192313216916398\");\n            if (y &lt; T(0)) return T(\"-1.5707963267948966192313216916398\");\n            return T(0);\n        }\n\n        T angle = std::atan(y\/x);\n\n        if (x &lt; T(0)) {\n            if (y &gt;= T(0)) angle += T(\"3.14159265358979323846264338327950\");\n            else angle -= T(\"3.14159265358979323846264338327950\");\n        }\n\n        return angle;\n    }\n};<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"i-25\">\u9ad8\u7cbe\u5ea6\u8a08\u7b97\u304c\u5fc5\u8981\u306a\u5834\u5408\u306e\u4ee3\u66ff\u624b\u6cd5<\/h3>\n\n\n\n<p>\u9ad8\u7cbe\u5ea6\u306a\u89d2\u5ea6\u8a08\u7b97\u304c\u5fc5\u8981\u306a\u5834\u5408\u306e\u5b9f\u88c5\u30a2\u30d7\u30ed\u30fc\u30c1\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u500d\u7cbe\u5ea6\u3092\u8d85\u3048\u308b\u7cbe\u5ea6\u304c\u5fc5\u8981\u306a\u5834\u5408<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u591a\u500d\u9577\u6d6e\u52d5\u5c0f\u6570\u70b9\u6f14\u7b97\u306e\u4f7f\u7528<\/li>\n\n\n\n<li>Kahan\u548c\u7b97\u306b\u3088\u308b\u7cbe\u5ea6\u5411\u4e0a<\/li>\n\n\n\n<li>\u4e8c\u6bb5\u968e\u8a08\u7b97\u306b\u3088\u308b\u7cbe\u5ea6\u6539\u5584<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6570\u5024\u5b89\u5b9a\u6027\u304c\u91cd\u8981\u306a\u5834\u5408<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6b63\u898f\u5316\u306b\u3088\u308b\u8a08\u7b97<\/li>\n\n\n\n<li>\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u306e\u9069\u7528<\/li>\n\n\n\n<li>\u6761\u4ef6\u5206\u5c90\u306b\u3088\u308b\u7279\u6b8a\u30b1\u30fc\u30b9\u306e\u51e6\u7406<\/li>\n<\/ul>\n\n\n\n<p>\u9078\u629e\u57fa\u6e96\u306e\u307e\u3068\u3081\uff1a<\/p>\n\n\n<div id=\"id-b069cb88-80fa-45c0-bfdc-385bd20287ff\">\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u95a2\u6570<\/th><th>\u4f7f\u7528\u30b7\u30fc\u30f3<\/th><th>\u7279\u5fb4<\/th><th>\u5236\u9650\u4e8b\u9805<\/th><\/tr><\/thead><tbody><tr><td>atan2<\/td><td>\u4e00\u822c\u7684\u306a\u89d2\u5ea6\u8a08\u7b97<\/td><td>\u5168\u8c61\u9650\u5bfe\u5fdc<\/td><td>\u8a08\u7b97\u30b3\u30b9\u30c8\u304c\u6bd4\u8f03\u7684\u9ad8\u3044<\/td><\/tr><tr><td>atan<\/td><td>\u5358\u7d14\u306a\u50be\u304d\u8a08\u7b97<\/td><td>\u8a08\u7b97\u304c\u7c21\u5358<\/td><td>\u8c61\u9650\u306e\u5224\u5b9a\u304c\u3067\u304d\u306a\u3044<\/td><\/tr><tr><td>asin<\/td><td>\u6b63\u898f\u5316\u5024\u304b\u3089\u306e\u8a08\u7b97<\/td><td>[-1,1]\u306e\u5165\u529b<\/td><td>\u7bc4\u56f2\u304c\u9650\u5b9a\u7684<\/td><\/tr><tr><td>acos<\/td><td>\u30d9\u30af\u30c8\u30eb\u9593\u89d2\u5ea6<\/td><td>\u5185\u7a4d\u3068\u306e\u76f8\u6027\u304c\u826f\u3044<\/td><td>\u7bc4\u56f2\u304c\u9650\u5b9a\u7684<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n<p>\u5b9f\u88c5\u6642\u306e\u6ce8\u610f\u70b9\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u7cbe\u5ea6\u8981\u4ef6\u306e\u78ba\u8a8d<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5fc5\u8981\u306a\u7cbe\u5ea6\u30ec\u30d9\u30eb\u306e\u78ba\u8a8d<\/li>\n\n\n\n<li>\u9069\u5207\u306a\u6570\u5024\u578b\u306e\u9078\u629e<\/li>\n\n\n\n<li>\u30a8\u30e9\u30fc\u4f1d\u64ad\u306e\u8003\u616e<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u306e\u8003\u616e<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8a08\u7b97\u30b3\u30b9\u30c8\u306e\u8a55\u4fa1<\/li>\n\n\n\n<li>\u30ad\u30e3\u30c3\u30b7\u30e5\u306e\u6d3b\u7528<\/li>\n\n\n\n<li>\u4e26\u5217\u8a08\u7b97\u306e\u53ef\u80fd\u6027<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u30a8\u30e9\u30fc\u51e6\u7406<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7bc4\u56f2\u30c1\u30a7\u30c3\u30af<\/li>\n\n\n\n<li>\u7279\u7570\u70b9\u306e\u51e6\u7406<\/li>\n\n\n\n<li>\u6570\u5024\u306e\u5b89\u5b9a\u6027\u78ba\u4fdd<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u95a2\u6570\u3092\u9069\u5207\u306b\u4f7f\u3044\u5206\u3051\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u52b9\u7387\u7684\u3067\u6b63\u78ba\u306a\u89d2\u5ea6\u8a08\u7b97\u304c\u5b9f\u73fe\u3067\u304d\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Warning: Undefined array key &#8220;is_admin&#8221; in \/home\/xs392991\/dexall.co.jp\/public_html\/articles\/wp-content\/themes\/ &#8230; 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