{"id":487,"date":"2022-08-06T02:27:05","date_gmt":"2022-08-05T18:27:05","guid":{"rendered":"http:\/\/www.aqwu.net\/wp\/?p=487"},"modified":"2024-03-18T12:03:23","modified_gmt":"2024-03-18T04:03:23","slug":"%e7%a5%9e%e5%a5%87%e7%9a%84%e6%95%b0%e5%ad%972%ef%bc%9a%e5%88%a9%e7%94%a8%e8%87%aa%e7%84%b6%e6%95%b0%e5%b9%b3%e6%96%b9%e7%9a%84%e5%80%92%e6%95%b0%e4%b9%8b%e5%92%8c%e6%9d%a5%e6%b1%82%cf%80%e5%80%bc","status":"publish","type":"post","link":"https:\/\/www.aqwu.net\/wp\/?p=487","title":{"rendered":"\u795e\u5947\u7684\u6570\u5b572\uff1a\u5229\u7528\u81ea\u7136\u6570\u5e73\u65b9\u7684\u5012\u6570\u4e4b\u548c\u6765\u6c42\u03c0\u503c"},"content":{"rendered":"\n<p>\u6b27\u62c9\u89e3\u51b3\u4e86\u8457\u540d\u7684\u81ea\u7136\u6570\u5e73\u65b9\u5012\u6570\u4e4b\u548c\u7b49\u4e8e\u03c0^2\/6\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8fd9\u91cc\u5bf9\u8bc1\u660e\u4e0d\u505a\u89e3\u91ca\uff0c\u53ef\u4ee5\u81ea\u884c\u641c\u7d22\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"676\" height=\"166\" src=\"http:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-32.png\" alt=\"\" class=\"wp-image-488\" style=\"width:676px;height:166px\" srcset=\"https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-32.png 676w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-32-300x74.png 300w\" sizes=\"auto, (max-width: 676px) 100vw, 676px\" \/><\/figure>\n\n\n\n<p>\u6211\u4eec\u76f4\u63a5\u4e0a\u4ee3\u7801, \u8ba1\u7b97\u03c0\u503c\u3002<\/p>\n\n\n\n<div class=\"wp-block-urvanov-syntax-highlighter-code-block\"><pre class=\"lang:python decode:true \" >#include &lt;iostream&gt;\n#include &lt;mpir.h&gt;\n#include &lt;mpirxx.h&gt;\n\nusing namespace std;\n\nint main()\n{\n    \/\/ \u03c0^2\/6 = 1\/1^2 + 1\/2^2 + 1\/3^ + 1\/4^2 + 1\/5^2 + ...\n    mpf_class M;\n    mpf_class P;\n    mpf_class I;\n    mpf_class S;\n    mpf_class N;\n    mpf_class Q;\n    mpf_class D;\n\n    mp_bitcnt_t prec = 300;\n\n    mpf_set_prec(I.get_mpf_t(), prec);\n    mpf_set_prec(M.get_mpf_t(), prec);\n    mpf_set_prec(P.get_mpf_t(), prec);\n    mpf_set_prec(S.get_mpf_t(), prec);\n    mpf_set_prec(Q.get_mpf_t(), prec);\n    mpf_set_prec(D.get_mpf_t(), prec);\n\n    M = 0;\n    P = 0;\n    S = 0;\n    N = \"100\";\n    mp_exp_t exp = 0;\n    char* Val;\n\n    for (I = 1; I &lt;= N; I++)\n    {\n        Q = I * I;\n        D = 1 \/ Q;\n        M += D;\n    }\n\n    S = 6 * M;\n    P = sqrt(S);\n    exp = 0;\n    Val = mpf_get_str(NULL, &amp;exp, 10, 0, I.get_mpf_t());\n    cout &lt;&lt; \"I:\" &lt;&lt; Val &lt;&lt; endl;\n    free(Val);\n\n    exp = 0;\n    Val = mpf_get_str(NULL, &amp;exp, 10, 0, P.get_mpf_t());\n    cout &lt;&lt; \"P:\" &lt;&lt; Val &lt;&lt; endl;\n    free(Val);\n    cout &lt;&lt; \"exp:\" &lt;&lt; exp &lt;&lt; endl;\n}\n<\/pre><\/div>\n\n\n\n<p>\u5f53 N = 100 \u7684\u65f6\u5019\uff0c\u8ba1\u7b97\u7684\u7ed3\u679c\u662f<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"67\" src=\"http:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-33-1024x67.png\" alt=\"\" class=\"wp-image-491\" srcset=\"https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-33-1024x67.png 1024w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-33-300x20.png 300w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-33-768x50.png 768w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-33-1536x101.png 1536w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-33.png 1848w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u4e0a\u9762\u7684exp \u8868\u793a\u6570\u70b9\u7684\u4f4d\u7f6e\uff0c1\u4f4d\uff0c\u8ba1\u7b97\u7684\u7ed3\u679c\u4e3a3.132\uff0c\u63a5\u8fd1\u503c\u4e3a3.1<\/p>\n\n\n\n<p>\u5f53 N = 1000 \u7684\u65f6\u5019\uff08\u7ffb10\u500d\uff09\uff0c1\u5343\u8ba1\u7b97\u7684\u7ed3\u679c\u662f<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"76\" src=\"http:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-34-1024x76.png\" alt=\"\" class=\"wp-image-493\" srcset=\"https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-34-1024x76.png 1024w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-34-300x22.png 300w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-34-768x57.png 768w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-34-1536x114.png 1536w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-34.png 1913w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8ba1\u7b97\u7684\u7ed3\u679c\u63a5\u8fd1\u503c\u4e3a3.14<\/p>\n\n\n\n<p>\u5f53 N = 10000 \u7684\u65f6\u5019\uff08\u7ffb10\u500d\uff09\uff0c1\u4e07\u8ba1\u7b97\u7684\u7ed3\u679c\u662f<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"71\" src=\"http:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-35-1024x71.png\" alt=\"\" class=\"wp-image-495\" srcset=\"https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-35-1024x71.png 1024w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-35-300x21.png 300w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-35-768x53.png 768w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-35-1536x106.png 1536w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-35.png 1848w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8ba1\u7b97\u7684\u7ed3\u679c\u63a5\u8fd1\u503c\u4e3a3.141<\/p>\n\n\n\n<p>\u5f53 N = 100000 \u7684\u65f6\u5019\uff08\u7ffb10\u500d\uff09\uff0c10\u4e07\u8ba1\u7b97\u7684\u7ed3\u679c\u662f<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"77\" src=\"http:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-36-1024x77.png\" alt=\"\" class=\"wp-image-496\" srcset=\"https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-36-1024x77.png 1024w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-36-300x23.png 300w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-36-768x58.png 768w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-36-1536x115.png 1536w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-36.png 1943w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8ba1\u7b97\u7684\u7ed3\u679c\u63a5\u8fd1\u503c\u4e3a3.1415<\/p>\n\n\n\n<p>\u5f53 N = 1000000 \u7684\u65f6\u5019\uff08\u7ffb10\u500d\uff09\uff0c\u767e\u4e07\u8ba1\u7b97\u7684\u7ed3\u679c\u662f<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"64\" src=\"http:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-37-1024x64.png\" alt=\"\" class=\"wp-image-498\" srcset=\"https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-37-1024x64.png 1024w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-37-300x19.png 300w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-37-768x48.png 768w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-37-1536x95.png 1536w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-37.png 1949w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8ba1\u7b97\u7684\u7ed3\u679c\u63a5\u8fd1\u503c\u4e3a3.14159<\/p>\n\n\n\n<p>\u5f53 N = 100000000 \u7684\u65f6\u5019\uff08\u7ffb100\u500d\uff09\uff0c\u4ebf\u6b21\u7684\u8ba1\u7b97\u7684\u7ed3\u679c\u662f<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"73\" src=\"http:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-38-1024x73.png\" alt=\"\" class=\"wp-image-500\" srcset=\"https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-38-1024x73.png 1024w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-38-300x21.png 300w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-38-768x55.png 768w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-38-1536x110.png 1536w, https:\/\/www.aqwu.net\/wp\/wp-content\/uploads\/2022\/08\/\u56fe\u7247-38.png 1834w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8ba1\u7b97\u7684\u7ed3\u679c\u63a5\u8fd1\u503c\u4e3a3.1415926<\/p>\n\n\n\n<p>\u5176\u5b9e\u53ef\u4ee5\u53d1\u73b0\uff0c\u5982\u679c\u6bcf\u589e\u52a0\u4e00\u4f4d\u6570\u5b57\uff0cN\u5c31\u8981\u7ffb10\u500d\uff0c\u81ea\u7136\u8ba1\u7b97\u91cf\u4e5f\u662f\u7ffb10\u500d\uff0c\u8fd9\u6837\u8ba1\u7b97\u6240\u82b1\u7684\u65f6\u95f4\u662f\u8d8a\u6765\u8d8a\u591a\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b27\u62c9\u89e3\u51b3\u4e86\u8457\u540d\u7684\u81ea\u7136\u6570\u5e73\u65b9\u5012\u6570\u4e4b\u548c\u7b49\u4e8e\u03c0^2\/6\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8fd9\u91cc\u5bf9\u8bc1\u660e\u4e0d\u505a\u89e3\u91ca\uff0c\u53ef\u4ee5\u81ea\u884c\u641c\u7d22\u3002 \u6211\u4eec\u76f4\u63a5\u4e0a\u4ee3 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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