{"id":2989,"date":"2018-01-05T20:21:45","date_gmt":"2018-01-05T11:21:45","guid":{"rendered":"https:\/\/na-inet.jp\/weblog2\/?p=2989"},"modified":"2018-01-26T18:05:11","modified_gmt":"2018-01-26T09:05:11","slug":"%e3%83%a1%e3%83%ab%e3%82%bb%e3%83%b3%e3%83%8c%e7%b4%a0%e6%95%b0%e3%81%a7flops-vs-memory-bandwidth%e3%82%92%e4%bd%93%e9%a8%93%e3%81%99%e3%82%8b","status":"publish","type":"post","link":"https:\/\/na-inet.jp\/weblog2\/2018\/01\/05\/%e3%83%a1%e3%83%ab%e3%82%bb%e3%83%b3%e3%83%8c%e7%b4%a0%e6%95%b0%e3%81%a7flops-vs-memory-bandwidth%e3%82%92%e4%bd%93%e9%a8%93%e3%81%99%e3%82%8b\/","title":{"rendered":"\u30e1\u30eb\u30bb\u30f3\u30cc\u7d20\u6570\u3067&#8221;FLOPS vs. Memory Bandwidth&#8221;\u3092\u4f53\u9a13\u3059\u308b"},"content":{"rendered":"<p><br \/>\n\u300050\u756a\u76ee\u306e\u30e1\u30eb\u30bb\u30f3\u30cc\u7d20\u6570\u304c\u898b\u3064\u304b\u3063\u305f\uff0c\u3064\u30fc\u304b\uff0c\u7d20\u6570\u3067\u3042\u308b\u3053\u3068\u306e\u691c\u8a3c\u304c\u6e08\u3093\u3060\uff0c\u3068\u3044\u3046\u8a18\u4e8b\u306b\u547c\u5fdc\u3057\u3066\u4e0b\u8a18\u306e\u3088\u3046\u306aTweet\u3092\u3057\u305f\u3002<\/p>\n<blockquote class=\"twitter-tweet\" data-lang=\"ja\">\n<p lang=\"ja\" dir=\"ltr\">\u898b\u9593\u9055\u3048\u305f\u306e\u3067\u518dTW\u3002\u53e4\u3044Xeon\u30de\u30b7\u30f3\u3067\u3082GNU MP(GMP)\u306empz_ui_pow_ui &amp; mpz_sub_ui\u95a2\u6570\u3067\u8a08\u7b97\u3057\u306630\u79d2\u8db3\u3089\u305a\u3002\u30d5\u30a1\u30a4\u30ebDL\u3059\u308b\u3088\u308a\u8a08\u7b97\u3057\u305f\u65b9\u304c\u901f\u3044\u3002\u7d20\u6570\u691c\u8a3c\u306e\u65b9\u304c\u305a\u3063\u3068\u5927\u5909\u3002\uff1e\u300c\u53f2\u4e0a\u6700\u5927\u306e\u7d20\u6570\u300d\u7d042\u5e74\u3076\u308a\u306b\u66f4\u65b0 \u6700\u9577\u3060\u3063\u305f\u3082\u306e\u3088\u308a\u7d04100\u4e07\u6841\u5927 <a href=\"https:\/\/twitter.com\/hashtag\/ldnews?src=hash&amp;ref_src=twsrc%5Etfw\">#ldnews<\/a> <a href=\"https:\/\/t.co\/lO9BwReyng\">https:\/\/t.co\/lO9BwReyng<\/a> <a href=\"https:\/\/t.co\/jEzQbfQhZu\">pic.twitter.com\/jEzQbfQhZu<\/a><\/p>\n<p>&mdash; \u5e78\u8c37\u667a\u7d00\uff20\u99ff\u5e9c(+\u9aed) (@tkouya) <a href=\"https:\/\/twitter.com\/tkouya\/status\/949175190029664261?ref_src=twsrc%5Etfw\">2018\u5e741\u67085\u65e5<\/a><\/p><\/blockquote>\n<p><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script><\/p>\n<p>\u3000\u3053\u308c\u3063\u3066\uff0c&#8221;FLOPS vs. Memory Bandwidth&#8221;\u306b\u901a\u3058\u308b\u8a71\u3067\u3082\u3042\u308b\u306a\u3068\u601d\u3063\u305f\u306e\u3067\uff0c\u3053\u3053\u3067\u3082\u3046\u5c11\u3057\u8a73\u7d30\u306b\u30e1\u30e2\u3063\u3066\u304a\u304f\u3002\u4e0a\u8a18\u306eTweet\u3088\u308a\u5c11\u3057\u624b\u76f4\u3057\u3057\u305f\u30d7\u30ed\u30b0\u30e9\u30e0\u306f\u4e0b\u8a18\u306e\u901a\u308a\u3002<\/p>\n<pre class=\"lang:c decode:true \" title=\"mpz_mersenne.c\" >\/\/ Mersenne Prime Number Calculator by GNU MP\r\n\/\/ Copyright (c) 2018 Tomonori Kouya\r\n\/\/\r\n\/\/ Compile: cc mpz_mersennne.c -lgmp\r\n\/\/\r\n#include &lt;stdio.h&gt;\r\n#include &lt;stdlib.h&gt;\r\n\r\n#include \"gmp.h\"\r\n\r\n\/* Mersenne Prime Number *\/\r\n\/* 2^p - 1\r\n\r\n\/* cf.) http:\/\/primes.utm.edu\/mersenne\/ *\/\r\n\r\nint max_index = 50; \/\/ 2018-01-05\r\nunsigned long known_mersenne_prime_p[] = {\r\n\t       2,        3,        5,        7,       13,       17,       19,       31,       61,       89, \\\r\n\t     107,      127,      521,      607,     1279,     2203,     2281,     3217,     4253,     4423, \\\r\n\t    9689,     9941,    11213,    19937,    21701,    23209,    44497,    86243,   110503,   132049, \\\r\n\t  216091,   756839,   859433,  1257787,  1398269,  2976221,  3021377,  6972593, 13466917, 20996011, \\\r\n\t24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609, 57885161, 74207281, 77232917 \\\r\n};\r\n\r\nint main(void)\r\n{\r\n\tmpz_t a;\r\n\tint index;\r\n\r\n\tmpz_init(a);\r\n\r\n\t\/\/ input\r\n\tfprintf(stderr, \"2^p[index] - 1 = ? \");\r\n\tfprintf(stderr, \"index(1 - %d) = \", max_index);\r\n\tscanf(\"%d\", &amp;index);\r\n\tif((index &gt; max_index) || (index &lt;= 0))\r\n\t{\r\n\t\tfprintf(stderr, \"ERROR: index = %d is illegal!\\n\", index);\r\n\t\treturn EXIT_FAILURE;\r\n\t}\r\n\r\n\tindex--;\r\n\tprintf(\"p[%d] = %ld\\n\", index + 1, known_mersenne_prime_p[index]);\r\n\r\n\t\/\/ a := 2^p - 1\r\n\tmpz_ui_pow_ui(a, 2UL, known_mersenne_prime_p[index]);\r\n\t\/\/gmp_printf(\"2^%ld     = %Zd\\n\", known_mersenne_prime_p[index], a);\r\n\tmpz_sub_ui(a, a, 1UL);\r\n\tgmp_printf(\"2^%ld - 1 = %Zd\\n\", known_mersenne_prime_p[index], a);\r\n\r\n\tmpz_clear(a);\r\n\r\n\treturn 0;\r\n}\r\n<\/pre>\n<p>\u3000Tweet\u306b\u6319\u3052\u305f\u306e\u306f\\(2^p\\)(<a href=\"http:\/\/na-inet.jp\/na\/gmp_ja\/Integer-Exponentiation.html#Integer-Exponentiation\" rel=\"noopener\" target=\"_blank\">mpz_ui_pow_ui\u95a2\u6570<\/a>\u3067\u8a08\u7b97)\u3068\\(2^{p &#8211; 1}\\)(<a href=\"http:\/\/na-inet.jp\/na\/gmp_ja\/Integer-Arithmetic.html#Integer-Arithmetic\" rel=\"noopener\" target=\"_blank\">mpz_sub_ui\u95a2\u6570<\/a>\u3067\u8a08\u7b97)\u306e\u4e21\u65b9\u3092\u30d5\u30a1\u30a4\u30eb\u306b\u66f8\u304d\u51fa\u3059\u5974\u3060\u3063\u305f\u306e\u3067\uff0c\u5f8c\u8005\u306e\u307f\u66f8\u304d\u51fa\u3059\u3088\u3046\u306b\u3059\u308b\u3068\u307b\u307c\u534a\u5206\u306e\u6642\u9593\u3067\u6e08\u3080\u3002<\/p>\n<p><a href=\"https:\/\/na-inet.jp\/wordpress\/wp-content\/uploads\/2018\/01\/2018-01-05_200236.png\"><img loading=\"lazy\" decoding=\"async\" src=\"\/\/na-inet.jp\/wordpress\/wp-content\/uploads\/2018\/01\/2018-01-05_200236-300x87.png\" alt=\"\" width=\"300\" height=\"87\" class=\"alignnone size-medium wp-image-2990\" srcset=\"https:\/\/na-inet.jp\/wordpress\/wp-content\/uploads\/2018\/01\/2018-01-05_200236-300x87.png 300w, https:\/\/na-inet.jp\/wordpress\/wp-content\/uploads\/2018\/01\/2018-01-05_200236-150x43.png 150w, https:\/\/na-inet.jp\/wordpress\/wp-content\/uploads\/2018\/01\/2018-01-05_200236.png 530w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u300010\u9032\u6570\u30c6\u30ad\u30b9\u30c8\u3067\u66f8\u304d\u51fa\u3059\u3068\u5927\u4f5345MB\u3050\u3089\u3044\u306e\u30d5\u30a1\u30a4\u30eb\u306b\u306a\u308b\u8a33\u3060\u304c\uff0c\u30cd\u30c3\u30c8\u8d8a\u3057\u3060\u3068\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3059\u308b\u65b9\u304c\u6642\u9593\u304c\u304b\u304b\u308b\u3002100BASE-TX\u306e\u74b0\u5883\u3067\u3082\u30a4\u30fc\u30d6\u30f3\u3002\u5927\u4f53\uff0c\u8a08\u7b97\u305d\u306e\u3082\u306e\u306b\u304b\u304b\u308b\u6642\u9593\u3088\u308a\u30d5\u30a1\u30a4\u30eb\u306b\u66f8\u304d\u51fa\u3059\u6642\u9593\u306e\u65b9\u304c\u554f\u984c\u3067\uff0c\u66f4\u306b\u8a00\u3046\u3068\uff0c\u30e1\u30a4\u30f3\u30e1\u30e2\u30ea\u5185\u90e8\u306e\u30c7\u30fc\u30bf\u79fb\u52d5\u306e\u6cd5\u306b\u6642\u9593\u304c\u8cbb\u3084\u3055\u308c\u3066\u3044\u308b\u3002128MB\u3050\u3089\u3044\u306eL3\u30ad\u30e3\u30c3\u30b7\u30e5\u304c\u3042\u308c\u3070\uff0cFLOPS(\u3053\u306e\u5834\u5408\u306f\u6574\u6570\u6f14\u7b97\u3060\u304b\u3089MIPS\u3060\u3051\u3069)\u4e0a\u3052\u308b\u3088\u308a\u3082\u305a\u3063\u3068\u9ad8\u901f\u306b\u8a08\u7b97\u7d42\u4e86\u3057\u3066\u3044\u308b\u7b48\u3067\uff0c\u3055\u3089\u306b\u8a00\u3048\u3070\uff0c\u30d5\u30a1\u30a4\u30eb\u306b\u66f8\u304d\u51fa\u3057\u305b\u305a\u306b\u30aa\u30f3\u30e1\u30e2\u30ea\u3067\u6e08\u3080\u306a\u3089\u3082\u3063\u3068\u9ad8\u901f\u3002\u3064\u307e\u308aCPU\u5185\u90e8\u306e\u6f14\u7b97\u52b9\u7387\u3088\u308a\u30e1\u30e2\u30ea\u5e2f\u57df(memory bandwidth)\u306e\u65b9\u304c\u3088\u3063\u307d\u3069\u554f\u984c\uff0c\u3068\u3044\u3046\u304a\u8a71\u306b\u306a\u308b\u308f\u3051\u3067\u3002<\/p>\n<p>\u3000\u3068\u3044\u3046\u81ea\u5206\u7528\u30e1\u30e2\u3002<\/p>\n<p>[2018-01-26(Fri) \u8ffd\u8a18] \u300c\u591a\u500d\u9577\u6570\u5024\u8a08\u7b97\u5165\u9580\uff08\u4eee\uff09\u300d\u57f7\u7b46\u958b\u59cb\u306b\u3064\u304d\uff0c\u4e0a\u8a18\u306eC\u30d7\u30ed\u30b0\u30e9\u30e0\u3092Julia\u30b9\u30af\u30ea\u30d7\u30c8\u3067\u66f8\u304d\u76f4\u3057\u3066\u307f\u305f\u3002\u306a\u30fc\u308b\u307b\u3069\uff0c\u3053\u308c\u306f\u4f7f\u3044\u3084\u3059\u3044\u3084\u3002<\/p>\n<pre class=\"lang:default decode:true \" title=\"mersenne.jl\" >#  Mersenne Prime Number Calculator by GNU MP\r\n#  Copyright (c) 2018 Tomonori Kouya\r\n# \r\n#  Run: julia mersennne.jl \r\n# \r\n\r\n# Mersenne Prime Number\r\n# 2^p - 1\r\n\r\n# cf.) http:# primes.utm.edu\/mersenne\/\r\n\r\nmax_index = 50; #  2018-01-05\r\nknown_mersenne_prime_p  = [\r\n\t       2,        3,        5,        7,       13,       17,       19,       31,       61,       89,\r\n\t     107,      127,      521,      607,     1279,     2203,     2281,     3217,     4253,     4423,\r\n\t    9689,     9941,    11213,    19937,    21701,    23209,    44497,    86243,   110503,   132049,\r\n\t  216091,   756839,   859433,  1257787,  1398269,  2976221,  3021377,  6972593, 13466917, 20996011,\r\n\t24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609, 57885161, 74207281, 77232917\r\n];\r\n\r\n#  input\r\nprint(\"2^p[index] - 1 = ? \");\r\nprint(\"index(1 - $max_index) = \");\r\nindex = parse(Int, chomp(readline(STDIN)));\r\nif (index &gt; max_index) || (index &lt;= 0)\r\n\tprint(\"ERROR: index = $index is illegal!\\n\");\r\n\treturn EXIT_FAILURE;\r\nend\r\n\r\nprintln(\"p[$index] = \", known_mersenne_prime_p[index]);\r\n\r\n#  a := 2^p - 1\r\na = BigInt(2)^known_mersenne_prime_p[index] - 1;\r\nprintln(\"2^\", known_mersenne_prime_p[index], \" - 1 = $a\");\r\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u300050\u756a\u76ee\u306e\u30e1\u30eb\u30bb\u30f3\u30cc\u7d20\u6570\u304c\u898b\u3064\u304b\u3063\u305f\uff0c\u3064\u30fc\u304b\uff0c\u7d20\u6570\u3067\u3042\u308b\u3053\u3068\u306e\u691c\u8a3c\u304c\u6e08\u3093\u3060\uff0c\u3068\u3044\u3046\u8a18\u4e8b\u306b\u547c\u5fdc\u3057\u3066\u4e0b\u8a18\u306e\u3088\u3046\u306aTweet\u3092\u3057\u305f\u3002 \u898b\u9593\u9055\u3048\u305f\u306e\u3067\u518dTW\u3002\u53e4\u3044Xeon\u30de\u30b7\u30f3\u3067\u3082GNU MP(GMP)\u306empz_ui_pow_ &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/na-inet.jp\/weblog2\/2018\/01\/05\/%e3%83%a1%e3%83%ab%e3%82%bb%e3%83%b3%e3%83%8c%e7%b4%a0%e6%95%b0%e3%81%a7flops-vs-memory-bandwidth%e3%82%92%e4%bd%93%e9%a8%93%e3%81%99%e3%82%8b\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;\u30e1\u30eb\u30bb\u30f3\u30cc\u7d20\u6570\u3067&#8221;FLOPS vs. Memory Bandwidth&#8221;\u3092\u4f53\u9a13\u3059\u308b&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[12,7,2],"tags":[],"class_list":["post-2989","post","type-post","status-publish","format-standard","hentry","category-mpna","category-7","category-2"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/posts\/2989","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/comments?post=2989"}],"version-history":[{"count":12,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/posts\/2989\/revisions"}],"predecessor-version":[{"id":3016,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/posts\/2989\/revisions\/3016"}],"wp:attachment":[{"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/media?parent=2989"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/categories?post=2989"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/tags?post=2989"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}