{"id":31612,"date":"2023-11-04T06:46:14","date_gmt":"2022-12-22T21:43:11","guid":{"rendered":"https:\/\/www.silicloud.com\/zh\/blog\/%e4%bd%bf%e7%94%a8java%e8%af%ad%e8%a8%80%e8%ae%a1%e7%ae%97%e5%9c%86%e5%91%a8%e7%8e%87\/"},"modified":"2024-05-04T07:26:28","modified_gmt":"2024-05-03T23:26:28","slug":"%e4%bd%bf%e7%94%a8java%e8%af%ad%e8%a8%80%e8%ae%a1%e7%ae%97%e5%9c%86%e5%91%a8%e7%8e%87","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/zh\/blog\/%e4%bd%bf%e7%94%a8java%e8%af%ad%e8%a8%80%e8%ae%a1%e7%ae%97%e5%9c%86%e5%91%a8%e7%8e%87\/","title":{"rendered":"\u4f7f\u7528Java\u8bed\u8a00\u8ba1\u7b97\u5706\u5468\u7387"},"content":{"rendered":"<h1>\u9996\u5148<\/h1>\n<p>\u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u7684\u516c\u5f0f\uff0c\u5728Java\u4e2d\u8ba1\u7b97\u5706\u5468\u7387\u3002<\/p>\n<pre class=\"post-pre\"><code>\\frac{4}{\\pi}=\\sum_{n=0}^\\infty \\frac{(-1)^n(4n)!(1123+21460n)}{882^{2n+1}(4^nn!)^4}\r\n<\/code><\/pre>\n<p>\u62c9\u9a6c\u52aa\u91d1\uff081887\u5e7412\u670822\u65e5\u81f31920\u5e744\u670826\u65e5\uff09\u7684\u516c\u5f0f\u3002<br \/>\n\u4ed4\u7ec6\u89c2\u5bdf\uff0c\u4f1a\u8ba9\u4eba\u4e0d\u7981\u601d\u8003\u4ed6\u662f\u5982\u4f55\u60f3\u51fa\u8fd9\u4e2a\u516c\u5f0f\u7684\uff0c\u771f\u7684\u80fd\u5f97\u51fa\u5706\u5468\u7387\u5417\uff1f\u8ba9\u4eba\u611f\u5230\u975e\u5e38\u795e\u5947\u3002<\/p>\n<p>\uff08\u6211\u4e0d\u77e5\u9053\u662f\u5173\u4e8e\u54ea\u4e2a\u65b9\u7a0b\u5f0f\u7684\u5bf9\u8bdd\uff09\uff0c\u4ee5\u4e0b\u7684\u5bf9\u8bdd\u4e5f\u5145\u6ee1\u795e\u79d8\u8272\u5f69\u3002<\/p>\n<p>\u54c8\u8fea\u6559\u6388\uff1a\u201c\u80fd\u544a\u8bc9\u6211\u4f60\u662f\u5982\u4f55\u60f3\u5230\u8fd9\u4e2a\u6570\u5b66\u516c\u5f0f\u7684\u5417\uff1f\u201d<br \/>\n\u62c9\u9a6c\u52aa\u8d3e\u6069\uff1a\u201c\u8bf7\u76f8\u4fe1\uff0c\u662f\u7eb3\u739b\u5409\u5229\u5973\u795e\u7ad9\u5728\u6211\u7684\u6795\u8fb9\u6559\u7ed9\u6211\u7684\u3002\u201d<\/p>\n<p>\u6211\u771f\u7684\u60f3\u8bd5\u7740\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n<h1>\u7f16\u7a0b<\/h1>\n<p>\u57fa\u672c\u4e0a\uff0c\u8fd9\u662f\u4e00\u4e2a\u6ca1\u6709\u521b\u610f\u7684\u7a0b\u5e8f\u3002<\/p>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u5206\u5b50\u3068\u5206\u6bcd\u306f\u305d\u308c\u305e\u308cBigInteger\u3067\u8a08\u7b97\u3057\u3066\u3044\u307e\u3059\u3002<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u5206\u6570\u3092\u5272\u308a\u7b97\u3059\u308b\u3068\u3053\u308d\u304b\u3089BigDecimal\u3067\u8a08\u7b97\u3057\u307e\u3059(\u3053\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3067\u306f\u3001\u3053\u3053\u3067\u306f\u3058\u3081\u3066\u7cbe\u5ea6\u6307\u5b9a\u3057\u307e\u3059)\u3002<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u968e\u4e57\u306f\u540c\u3058\u8a08\u7b97\u3092\u4f55\u5ea6\u3082\u3059\u308b\u306e\u306f\u3042\u307e\u308a\u306b\u3072\u3069\u3044\u306e\u3067\u3001\u524d\u306e\u8a08\u7b97\u7d50\u679c\u3092\u518d\u5229\u7528\u3059\u308b\u3088\u3046\u300c\u5de5\u592b\u300d\u3057\u3066\u3044\u307e\u3059\u3002<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\u6700\u5f8c\u306e\u65b9\u306e\u6841\u306f\u8aa4\u5dee\u3092\u542b\u307f\u307e\u3059\uff08\u8aa4\u5dee\u306f\u300c\u7e70\u308a\u8fd4\u3057\u56de\u6570\u300d\u306b\u6bd4\u4f8b\u3057\u307e\u3059\uff09\u3002<\/ul>\n<pre class=\"post-pre\"><code><span class=\"cm\">\/**\r\n * \u5186\u5468\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\r\n *\/<\/span>\r\n\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">java.math.BigDecimal<\/span><span class=\"o\">;<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">java.math.BigInteger<\/span><span class=\"o\">;<\/span>\r\n<span class=\"kn\">import<\/span> <span class=\"nn\">java.math.RoundingMode<\/span><span class=\"o\">;<\/span>\r\n\r\n<span class=\"kd\">public<\/span> <span class=\"kd\">class<\/span> <span class=\"nc\">RamaPi<\/span> <span class=\"o\">{<\/span>\r\n    <span class=\"cm\">\/**\r\n     * \u968e\u4e57\u3092\u8a08\u7b97\u3057\u307e\u3059(\u76f4\u524d\u306e\u8a08\u7b97\u7d50\u679c\u3092\u518d\u5229\u7528\u3057\u307e\u3059)\u3002\r\n     *\/<\/span>\r\n    <span class=\"kd\">class<\/span> <span class=\"nc\">Facto<\/span> <span class=\"o\">{<\/span>\r\n        <span class=\"cm\">\/** \u76f4\u524d\u306e\u5f15\u6570 *\/<\/span>\r\n        <span class=\"kt\">int<\/span> <span class=\"n\">n<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">1<\/span><span class=\"o\">;<\/span>\r\n        <span class=\"cm\">\/** \u76f4\u524d\u306e\u5024 *\/<\/span>\r\n        <span class=\"nc\">BigInteger<\/span> <span class=\"n\">val<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">BigInteger<\/span><span class=\"o\">.<\/span><span class=\"na\">ONE<\/span><span class=\"o\">;<\/span>\r\n\r\n        <span class=\"nc\">BigInteger<\/span> <span class=\"nf\">calc<\/span><span class=\"o\">(<\/span><span class=\"kd\">final<\/span> <span class=\"kt\">int<\/span> <span class=\"n\">arg<\/span><span class=\"o\">)<\/span> <span class=\"o\">{<\/span>\r\n            <span class=\"k\">for<\/span> <span class=\"o\">(<\/span> <span class=\"o\">;<\/span> <span class=\"n\">n<\/span> <span class=\"o\">&lt;=<\/span> <span class=\"n\">arg<\/span> <span class=\"o\">;<\/span> <span class=\"n\">n<\/span><span class=\"o\">++)<\/span> <span class=\"o\">{<\/span>\r\n                <span class=\"n\">val<\/span> <span class=\"o\">=<\/span> <span class=\"n\">val<\/span><span class=\"o\">.<\/span><span class=\"na\">multiply<\/span><span class=\"o\">(<\/span><span class=\"nc\">BigInteger<\/span><span class=\"o\">.<\/span><span class=\"na\">valueOf<\/span><span class=\"o\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">));<\/span>\r\n            <span class=\"o\">}<\/span>\r\n\r\n            <span class=\"k\">return<\/span> <span class=\"n\">val<\/span><span class=\"o\">;<\/span>\r\n        <span class=\"o\">}<\/span>\r\n    <span class=\"o\">}<\/span>\r\n\r\n    <span class=\"cm\">\/** \u968e\u4e57\u8a08\u7b97\u7528\uff11 *\/<\/span>\r\n    <span class=\"nc\">Facto<\/span> <span class=\"n\">workFacto1<\/span> <span class=\"o\">=<\/span> <span class=\"k\">new<\/span> <span class=\"nc\">Facto<\/span><span class=\"o\">();<\/span>\r\n    <span class=\"cm\">\/** \u968e\u4e57\u8a08\u7b97\u7528\uff12 *\/<\/span>\r\n    <span class=\"nc\">Facto<\/span> <span class=\"n\">workFacto2<\/span> <span class=\"o\">=<\/span> <span class=\"k\">new<\/span> <span class=\"nc\">Facto<\/span><span class=\"o\">();<\/span>\r\n    <span class=\"cm\">\/** \u5b9a\u6570\u300c882\u300d *\/<\/span>\r\n    <span class=\"kd\">static<\/span> <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"no\">VAL_882<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">BigInteger<\/span><span class=\"o\">.<\/span><span class=\"na\">valueOf<\/span><span class=\"o\">(<\/span><span class=\"mi\">882<\/span><span class=\"o\">);<\/span>\r\n    <span class=\"cm\">\/** \u5b9a\u6570\u300c4\u300d *\/<\/span>\r\n    <span class=\"kd\">static<\/span> <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"no\">VAL_4<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">BigInteger<\/span><span class=\"o\">.<\/span><span class=\"na\">valueOf<\/span><span class=\"o\">(<\/span><span class=\"mi\">4<\/span><span class=\"o\">);<\/span>\r\n\r\n    <span class=\"cm\">\/**\r\n     * \u30e9\u30de\u30cc\u30b8\u30e3\u30f3\u306e\u516c\u5f0f\u306e\u5206\u5b50\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\r\n     *\/<\/span>\r\n    <span class=\"nc\">BigInteger<\/span> <span class=\"nf\">bunsi<\/span><span class=\"o\">(<\/span><span class=\"kd\">final<\/span> <span class=\"kt\">int<\/span> <span class=\"n\">n<\/span><span class=\"o\">)<\/span> <span class=\"o\">{<\/span>\r\n        <span class=\"kd\">final<\/span> <span class=\"kt\">int<\/span> <span class=\"n\">sign<\/span> <span class=\"o\">=<\/span> <span class=\"o\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">&amp;<\/span><span class=\"mi\">1<\/span><span class=\"o\">)<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">0<\/span> <span class=\"o\">?<\/span> <span class=\"mi\">1<\/span> <span class=\"o\">:<\/span> <span class=\"o\">-<\/span><span class=\"mi\">1<\/span><span class=\"o\">;<\/span>\r\n        <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"n\">a<\/span> <span class=\"o\">=<\/span> <span class=\"n\">workFacto1<\/span><span class=\"o\">.<\/span><span class=\"na\">calc<\/span><span class=\"o\">(<\/span><span class=\"mi\">4<\/span> <span class=\"o\">*<\/span> <span class=\"n\">n<\/span><span class=\"o\">);<\/span>\r\n        <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"n\">b<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">BigInteger<\/span><span class=\"o\">.<\/span><span class=\"na\">valueOf<\/span><span class=\"o\">(<\/span><span class=\"n\">sign<\/span> <span class=\"o\">*<\/span> <span class=\"o\">(<\/span><span class=\"mi\">1123<\/span> <span class=\"o\">+<\/span> <span class=\"mi\">21460<\/span><span class=\"o\">*<\/span><span class=\"n\">n<\/span><span class=\"o\">));<\/span>\r\n\r\n        <span class=\"k\">return<\/span> <span class=\"n\">a<\/span><span class=\"o\">.<\/span><span class=\"na\">multiply<\/span><span class=\"o\">(<\/span><span class=\"n\">b<\/span><span class=\"o\">);<\/span>\r\n    <span class=\"o\">}<\/span>\r\n\r\n    <span class=\"cm\">\/**\r\n     * \u30e9\u30de\u30cc\u30b8\u30e3\u30f3\u306e\u516c\u5f0f\u306e\u5206\u6bcd\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\r\n     *\/<\/span>\r\n    <span class=\"nc\">BigInteger<\/span> <span class=\"nf\">bunbo<\/span><span class=\"o\">(<\/span><span class=\"kd\">final<\/span> <span class=\"kt\">int<\/span> <span class=\"n\">n<\/span><span class=\"o\">)<\/span> <span class=\"o\">{<\/span>\r\n        <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"n\">a<\/span> <span class=\"o\">=<\/span> <span class=\"no\">VAL_882<\/span><span class=\"o\">.<\/span><span class=\"na\">pow<\/span><span class=\"o\">(<\/span><span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">n<\/span><span class=\"o\">+<\/span><span class=\"mi\">1<\/span><span class=\"o\">);<\/span>\r\n        <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"n\">b<\/span> <span class=\"o\">=<\/span> <span class=\"no\">VAL_4<\/span><span class=\"o\">.<\/span><span class=\"na\">pow<\/span><span class=\"o\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">);<\/span>\r\n        <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"n\">c<\/span> <span class=\"o\">=<\/span> <span class=\"n\">workFacto2<\/span><span class=\"o\">.<\/span><span class=\"na\">calc<\/span><span class=\"o\">(<\/span><span class=\"n\">n<\/span><span class=\"o\">);<\/span>\r\n        <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"n\">d<\/span> <span class=\"o\">=<\/span> <span class=\"n\">b<\/span><span class=\"o\">.<\/span><span class=\"na\">multiply<\/span><span class=\"o\">(<\/span><span class=\"n\">c<\/span><span class=\"o\">).<\/span><span class=\"na\">pow<\/span><span class=\"o\">(<\/span><span class=\"mi\">4<\/span><span class=\"o\">);<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">a<\/span><span class=\"o\">.<\/span><span class=\"na\">multiply<\/span><span class=\"o\">(<\/span><span class=\"n\">d<\/span><span class=\"o\">);<\/span>\r\n    <span class=\"o\">}<\/span>\r\n\r\n    <span class=\"cm\">\/**\r\n     * \u30e9\u30de\u30cc\u30b8\u30e3\u30f3\u306e\u516c\u5f0f\u304b\u3089\u3001\u5186\u5468\u7387\u3092\u6c42\u3081\u307e\u3059\u3002\r\n     *\/<\/span>\r\n    <span class=\"kt\">void<\/span> <span class=\"nf\">calc<\/span><span class=\"o\">(<\/span><span class=\"kd\">final<\/span> <span class=\"kt\">int<\/span> <span class=\"n\">digits<\/span><span class=\"o\">)<\/span> <span class=\"o\">{<\/span>\r\n        <span class=\"nc\">BigDecimal<\/span> <span class=\"n\">sum<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">BigDecimal<\/span><span class=\"o\">.<\/span><span class=\"na\">ZERO<\/span><span class=\"o\">;<\/span>\r\n\r\n        <span class=\"cm\">\/** \u52a0\u7b97\u3092\u6253\u3061\u5207\u308b\u6841\u6570\uff08\u3053\u306e\u6841\u6570\u672a\u6e80\u306f\u8db3\u305b\u307e\u305b\u3093\uff09 *\/<\/span>\r\n        <span class=\"kd\">final<\/span> <span class=\"nc\">BigDecimal<\/span> <span class=\"n\">thr<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">BigDecimal<\/span><span class=\"o\">.<\/span><span class=\"na\">ONE<\/span><span class=\"o\">.<\/span><span class=\"na\">divide<\/span><span class=\"o\">(<\/span><span class=\"nc\">BigDecimal<\/span><span class=\"o\">.<\/span><span class=\"na\">TEN<\/span><span class=\"o\">.<\/span><span class=\"na\">pow<\/span><span class=\"o\">(<\/span><span class=\"n\">digits<\/span><span class=\"o\">));<\/span>\r\n\r\n        <span class=\"cm\">\/** \u8a08\u7b97\u958b\u59cb\u3057\u305f\u6642\u9593 *\/<\/span>\r\n        <span class=\"kt\">long<\/span> <span class=\"n\">t0<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">System<\/span><span class=\"o\">.<\/span><span class=\"na\">nanoTime<\/span><span class=\"o\">();<\/span>\r\n\r\n        <span class=\"kt\">int<\/span> <span class=\"n\">iter<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span><span class=\"o\">;<\/span>\r\n        <span class=\"k\">for<\/span> <span class=\"o\">(<\/span> <span class=\"o\">;;<\/span> <span class=\"n\">iter<\/span><span class=\"o\">++<\/span> <span class=\"o\">)<\/span> <span class=\"o\">{<\/span>\r\n            <span class=\"kd\">final<\/span> <span class=\"nc\">BigDecimal<\/span> <span class=\"n\">bunbo<\/span> <span class=\"o\">=<\/span> <span class=\"k\">new<\/span> <span class=\"nc\">BigDecimal<\/span><span class=\"o\">(<\/span><span class=\"n\">bunbo<\/span><span class=\"o\">(<\/span><span class=\"n\">iter<\/span><span class=\"o\">));<\/span>\r\n            <span class=\"kd\">final<\/span> <span class=\"nc\">BigDecimal<\/span> <span class=\"n\">bunsi<\/span> <span class=\"o\">=<\/span> <span class=\"k\">new<\/span> <span class=\"nc\">BigDecimal<\/span><span class=\"o\">(<\/span><span class=\"n\">bunsi<\/span><span class=\"o\">(<\/span><span class=\"n\">iter<\/span><span class=\"o\">));<\/span>\r\n\r\n            <span class=\"kd\">final<\/span> <span class=\"nc\">BigDecimal<\/span> <span class=\"n\">adder<\/span> <span class=\"o\">=<\/span> <span class=\"n\">bunsi<\/span><span class=\"o\">.<\/span><span class=\"na\">divide<\/span><span class=\"o\">(<\/span><span class=\"n\">bunbo<\/span><span class=\"o\">,<\/span> <span class=\"n\">digits<\/span><span class=\"o\">,<\/span> <span class=\"nc\">RoundingMode<\/span><span class=\"o\">.<\/span><span class=\"na\">HALF_EVEN<\/span><span class=\"o\">);<\/span>\r\n\r\n            <span class=\"k\">if<\/span> <span class=\"o\">(<\/span><span class=\"n\">adder<\/span><span class=\"o\">.<\/span><span class=\"na\">abs<\/span><span class=\"o\">().<\/span><span class=\"na\">compareTo<\/span><span class=\"o\">(<\/span><span class=\"n\">thr<\/span><span class=\"o\">)<\/span> <span class=\"o\">&lt;<\/span> <span class=\"mi\">0<\/span><span class=\"o\">)<\/span> <span class=\"o\">{<\/span>\r\n                <span class=\"k\">break<\/span><span class=\"o\">;<\/span>\r\n            <span class=\"o\">}<\/span>\r\n\r\n            <span class=\"cm\">\/* \u52a0\u7b97\u306e\u7d50\u679c\u3067\u3001sum\u3092\u66f8\u304d\u63db\u3048\u307e\u3059 *\/<\/span>\r\n            <span class=\"n\">sum<\/span> <span class=\"o\">=<\/span> <span class=\"n\">sum<\/span><span class=\"o\">.<\/span><span class=\"na\">add<\/span><span class=\"o\">(<\/span><span class=\"n\">adder<\/span><span class=\"o\">);<\/span>\r\n\r\n            <span class=\"cm\">\/* \u6841\u6570\u304c\u5c0f\u3055\u3044\u5834\u5408\u3001\u53ce\u675f\u306e\u69d8\u5b50\u3092\u8868\u793a\u3057\u307e\u3059 *\/<\/span>\r\n            <span class=\"k\">if<\/span> <span class=\"o\">(<\/span><span class=\"n\">digits<\/span> <span class=\"o\">&lt;<\/span> <span class=\"mi\">100<\/span><span class=\"o\">)<\/span> <span class=\"o\">{<\/span>\r\n                <span class=\"nc\">System<\/span><span class=\"o\">.<\/span><span class=\"na\">out<\/span><span class=\"o\">.<\/span><span class=\"na\">println<\/span><span class=\"o\">(<\/span> <span class=\"nc\">BigDecimal<\/span><span class=\"o\">.<\/span><span class=\"na\">valueOf<\/span><span class=\"o\">(<\/span><span class=\"mi\">4<\/span><span class=\"o\">).<\/span><span class=\"na\">divide<\/span><span class=\"o\">(<\/span><span class=\"n\">sum<\/span><span class=\"o\">,<\/span> <span class=\"n\">digits<\/span><span class=\"o\">,<\/span> <span class=\"nc\">RoundingMode<\/span><span class=\"o\">.<\/span><span class=\"na\">HALF_EVEN<\/span><span class=\"o\">));<\/span>\r\n            <span class=\"o\">}<\/span>\r\n        <span class=\"o\">}<\/span>\r\n\r\n        <span class=\"cm\">\/** \u8a08\u7b97\u7d42\u4e86\u3057\u305f\u6642\u9593 *\/<\/span>\r\n        <span class=\"kt\">long<\/span> <span class=\"n\">t1<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">System<\/span><span class=\"o\">.<\/span><span class=\"na\">nanoTime<\/span><span class=\"o\">();<\/span>\r\n        <span class=\"nc\">System<\/span><span class=\"o\">.<\/span><span class=\"na\">err<\/span><span class=\"o\">.<\/span><span class=\"na\">println<\/span><span class=\"o\">(<\/span><span class=\"s\">\"\u7e70\u308a\u8fd4\u3057\u305f\u56de\u6570: \"<\/span> <span class=\"o\">+<\/span> <span class=\"n\">iter<\/span><span class=\"o\">);<\/span>\r\n        <span class=\"kt\">double<\/span> <span class=\"n\">elapsed<\/span> <span class=\"o\">=<\/span> <span class=\"o\">(<\/span><span class=\"n\">t1<\/span> <span class=\"o\">-<\/span> <span class=\"n\">t0<\/span><span class=\"o\">)<\/span> <span class=\"o\">\/<\/span> <span class=\"o\">((<\/span><span class=\"kt\">double<\/span><span class=\"o\">)<\/span><span class=\"mi\">1000<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">1000<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">1000<\/span><span class=\"o\">);<\/span>\r\n        <span class=\"nc\">System<\/span><span class=\"o\">.<\/span><span class=\"na\">err<\/span><span class=\"o\">.<\/span><span class=\"na\">println<\/span><span class=\"o\">(<\/span><span class=\"s\">\"\u6240\u8981\u3057\u305f\u79d2\u6570: \"<\/span> <span class=\"o\">+<\/span> <span class=\"nc\">String<\/span><span class=\"o\">.<\/span><span class=\"na\">format<\/span><span class=\"o\">(<\/span><span class=\"s\">\"%.6f\"<\/span><span class=\"o\">,<\/span> <span class=\"n\">elapsed<\/span><span class=\"o\">));<\/span>\r\n\r\n        <span class=\"nc\">System<\/span><span class=\"o\">.<\/span><span class=\"na\">out<\/span><span class=\"o\">.<\/span><span class=\"na\">println<\/span><span class=\"o\">(<\/span><span class=\"nc\">BigDecimal<\/span><span class=\"o\">.<\/span><span class=\"na\">valueOf<\/span><span class=\"o\">(<\/span><span class=\"mi\">4<\/span><span class=\"o\">).<\/span><span class=\"na\">divide<\/span><span class=\"o\">(<\/span><span class=\"n\">sum<\/span><span class=\"o\">,<\/span> <span class=\"n\">digits<\/span><span class=\"o\">,<\/span> <span class=\"nc\">RoundingMode<\/span><span class=\"o\">.<\/span><span class=\"na\">HALF_EVEN<\/span><span class=\"o\">));<\/span>\r\n    <span class=\"o\">}<\/span>\r\n\r\n    <span class=\"kd\">static<\/span> <span class=\"kd\">public<\/span> <span class=\"kt\">void<\/span> <span class=\"nf\">main<\/span><span class=\"o\">(<\/span><span class=\"nc\">String<\/span> <span class=\"n\">arg<\/span><span class=\"o\">[])<\/span> <span class=\"o\">{<\/span>\r\n        <span class=\"kt\">int<\/span> <span class=\"n\">digits<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">Integer<\/span><span class=\"o\">.<\/span><span class=\"na\">parseInt<\/span><span class=\"o\">(<\/span><span class=\"n\">arg<\/span><span class=\"o\">[<\/span><span class=\"mi\">0<\/span><span class=\"o\">]);<\/span>\r\n\r\n        <span class=\"k\">new<\/span> <span class=\"nf\">RamaPi<\/span><span class=\"o\">().<\/span><span class=\"na\">calc<\/span><span class=\"o\">(<\/span><span class=\"n\">digits<\/span><span class=\"o\">);<\/span>\r\n    <span class=\"o\">}<\/span>\r\n<span class=\"o\">}<\/span>\r\n\r\n<\/code><\/pre>\n<h1>\u6267\u884c\u793a\u4f8b<\/h1>\n<p>\u5728\u53c2\u6570\u4e2d\uff0c\u6307\u5b9a\u4f4d\u6570\u3002<br \/>\n\u53ef\u80fd\u4f1a\u5728\u6700\u540e\u7684\u51e0\u4f4d\u4e0a\u5b58\u5728\u8bef\u5dee\uff08\u8bef\u5dee\u4e0e\u201c\u91cd\u590d\u6b21\u6570\u201d\u6210\u6bd4\u4f8b\uff09\u3002<\/p>\n<pre class=\"post-pre\"><code>java RamaPi 50\r\n3.14158504007123775601068566340160284951024042742654\r\n3.14159265359762201426827517920229156338712376594028\r\n3.14159265358979322988767708881201158250039662639857\r\n3.14159265358979323846265313702144396820307036308333\r\n3.14159265358979323846264338326814215966511742779251\r\n3.14159265358979323846264338327950289764449222972749\r\n3.14159265358979323846264338327950288419715329619277\r\n3.14159265358979323846264338327950288419716939939455\r\n3.14159265358979323846264338327950288419716939937511\r\n\u7e70\u308a\u8fd4\u3057\u305f\u56de\u6570: 9\r\n\u6240\u8981\u3057\u305f\u79d2\u6570: 0.003002\r\n3.14159265358979323846264338327950288419716939937511\r\n<\/code><\/pre>\n<h1>\u9700\u8981\u591a\u957f\u65f6\u95f4<\/h1>\n<p>\u5728\u6211\u6240\u5904\u7684\u73af\u5883\u4e2d\u8fdb\u884c\u4e86\u4e00\u4e9b\u6d4b\u8bd5\u3002\u867d\u7136\u82b1\u8d39\u4e86\u76f8\u5f53\u591a\u7684\u65f6\u95f4\uff0c\u4f46\u662f\u6211\u4eec\u662f\u5c06Java\u7684\u591a\u500d\u957f\u8ba1\u7b97\u89c6\u4e3a\u5feb\u901f\u8fd8\u662f\u6162\u901f\u5462\uff1f<\/p>\n<div>\n<div class=\"post-table\">\u6841\u6570\u7e70\u308a\u8fd4\u3057\u305f\u56de\u6570\u6240\u8981\u3057\u305f\u79d2\u65701\u56de\u3042\u305f\u308a\u03bcs1020.001129564.5100180.003077170.910001700.049033288.41000016984.2371592495.320000339519.830755841.1400006790118.65170617474.4<\/div>\n<\/div>\n<p>\u6b64\u5916\uff0c\u5728\u76f8\u540c\u7684\u73af\u5883\u4e0b\u5c1d\u8bd5\u8fd0\u884c\u300cSuper\u03c0\u300d\uff0c\u7ed3\u679c\u662f\u300c838\u4e07\u4f4d\u6570\u300d\u7528\u65f6\u300c152\u79d2\u300d\uff08\u4f4d\u6570\u76f8\u5dee200\u500d\uff09\u3002<\/p>\n<p>\u5982\u679c\u8ffd\u6c42\u66f4\u5feb\u7684\u901f\u5ea6\uff0c\u4e0e\u5176\u4f7f\u7528 Java \u7684 BigInteger \/ BigDecimal \u7684\u591a\u500d\u957f\u8fd0\u7b97\uff0c\u5012\u4e0d\u5982\u660e\u663e\u5730\u4f7f\u7528 GMP\uff08GNU \u591a\u7cbe\u5ea6\u7b97\u672f\u5e93\uff09\u6216\u5176\u4ed6\u7c7b\u4f3c\u5de5\u5177\u66f4\u597d\u3002<\/p>\n<h1>\u5176\u4ed6<\/h1>\n<p>\u8d77\u521d\uff0c\u6211\u8bd5\u56fe\u5b9e\u73b0\u4e00\u4e2a\u7b80\u5355\u7684\u9636\u4e58\u8ba1\u7b97\uff0c\u4f46\u5728\u53ea\u67092\u4e07\u4f4d\u7684\u60c5\u51b5\u4e0b\uff0c\u7adf\u7136\u9700\u8981\u8017\u8d39113\u79d2\u7684\u65f6\u95f4\u3002\uff08\u4e00\u5f00\u59cb\u53ea\u662f\u968f\u4fbf\u5c1d\u8bd5\u4f7f\u7528\u9012\u5f52\u6cd5\u7f16\u5199\uff0c\u7ed3\u679c\u5f88\u5feb\u5c31\u9047\u5230\u4e86\u6808\u6ea2\u51fa\u7684\u95ee\u9898\u3002\uff09<\/p>\n<pre class=\"post-pre\"><code>    <span class=\"cm\">\/**\r\n     * \u968e\u4e57\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\r\n     *\/<\/span>\r\n    <span class=\"kd\">static<\/span> <span class=\"kd\">final<\/span> <span class=\"nc\">BigInteger<\/span> <span class=\"nf\">facto<\/span><span class=\"o\">(<\/span><span class=\"kd\">final<\/span> <span class=\"kt\">int<\/span> <span class=\"n\">a<\/span><span class=\"o\">)<\/span> <span class=\"o\">{<\/span>\r\n        <span class=\"nc\">BigInteger<\/span> <span class=\"n\">work<\/span> <span class=\"o\">=<\/span> <span class=\"nc\">BigInteger<\/span><span class=\"o\">.<\/span><span class=\"na\">ONE<\/span><span class=\"o\">;<\/span>\r\n\r\n        <span class=\"k\">for<\/span> <span class=\"o\">(<\/span><span class=\"kt\">int<\/span> <span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">2<\/span> <span class=\"o\">;<\/span> <span class=\"n\">i<\/span><span class=\"o\">&lt;=<\/span><span class=\"n\">a<\/span> <span class=\"o\">;<\/span> <span class=\"n\">i<\/span><span class=\"o\">++)<\/span> <span class=\"o\">{<\/span>\r\n            <span class=\"n\">work<\/span> <span class=\"o\">=<\/span> <span class=\"n\">work<\/span><span class=\"o\">.<\/span><span class=\"na\">multiply<\/span><span class=\"o\">(<\/span><span class=\"nc\">BigInteger<\/span><span class=\"o\">.<\/span><span class=\"na\">valueOf<\/span><span class=\"o\">(<\/span><span class=\"n\">i<\/span><span class=\"o\">));<\/span>\r\n        <span class=\"o\">}<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">work<\/span><span class=\"o\">;<\/span>\r\n    <span class=\"o\">}<\/span>\r\n<\/code><\/pre>\n<h1>\u8bf7\u63d0\u4f9b\u66f4\u591a\u7684\u4e0a\u4e0b\u6587\u6216\u8005\u5177\u4f53\u7684\u53e5\u5b50\uff0c\u4ee5\u4fbf\u6211\u80fd\u591f\u4e3a\u60a8\u63d0\u4f9b\u66f4\u51c6\u786e\u7684\u6c49\u8bed\u7ffb\u8bd1\u3002<\/h1>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u30b7\u30e5\u30ea\u30cb\u30f4\u30a1\u30fc\u30b5\u30fb\u30e9\u30de\u30cc\u30b8\u30e3\u30f3(Wikipedia)<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u4efb\u610f\u7cbe\u5ea6\u6f14\u7b97 \u306b\u3064\u3044\u3066\u306e\u7d39\u4ecb\u8a18\u4e8b(Wikipedia)<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u3088\u308a\u3061\u3083\u3093\u3068\u3057\u305f\u591a\u500d\u9577\u6f14\u7b97\u3092\u884c\u3044\u305f\u3044\u3068\u304d\u306f GMP<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\u8457\u540d\u306a\u5186\u5468\u7387\u8a08\u7b97\u30d7\u30ed\u30b0\u30e9\u30e0<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u9996\u5148 \u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u7684\u516c\u5f0f\uff0c\u5728Java\u4e2d\u8ba1\u7b97\u5706\u5468\u7387\u3002 \\frac{4}{\\pi}=\\sum_{n [&hellip;]<\/p>\n","protected":false},"author":12,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-31612","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.5 (Yoast SEO v21.5) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4f7f\u7528Java\u8bed\u8a00\u8ba1\u7b97\u5706\u5468\u7387 - Blog - Silicon Cloud<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.silicloud.com\/zh\/blog\/\u4f7f\u7528java\u8bed\u8a00\u8ba1\u7b97\u5706\u5468\u7387\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4f7f\u7528Java\u8bed\u8a00\u8ba1\u7b97\u5706\u5468\u7387\" \/>\n<meta property=\"og:description\" content=\"\u9996\u5148 \u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u7684\u516c\u5f0f\uff0c\u5728Java\u4e2d\u8ba1\u7b97\u5706\u5468\u7387\u3002 frac{4}{pi}=sum_{n [&hellip;]\" \/>\n<meta property=\"og:url\" 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