{"id":1508,"date":"2010-05-05T12:21:57","date_gmt":"2010-05-05T03:21:57","guid":{"rendered":"http:\/\/na-inet.jp\/new-na-inet\/weblog\/2010\/05\/44_j-mmuller_etal_handbook_of\/"},"modified":"2010-05-05T12:21:57","modified_gmt":"2010-05-05T03:21:57","slug":"44_j-mmuller_etal_handbook_of","status":"publish","type":"post","link":"https:\/\/na-inet.jp\/weblog2\/2010\/05\/05\/44_j-mmuller_etal_handbook_of\/","title":{"rendered":"[4\/4] J-.M.Muller et.al, &#8220;Handbook of Floating-point Arithmetic&#8221;, Birkhauser"},"content":{"rendered":"<p>[ <a href=\"http:\/\/www.amazon.co.jp\/gp\/product\/081764704X?ie=UTF8&#038;tag=pasnet-22&#038;linkCode=as2&#038;camp=247&#038;creative=1211&#038;creativeASIN=081764704X\">Amazon<\/a> ] ISBN 978-0-8176-4704-9, \\13666(2010\u5e744\u6708\u73fe\u5728)<br \/>\n<span class=\"mt-enclosure mt-enclosure-image\" style=\"display: inline;\"><a href=\"http:\/\/na-inet.jp\/weblog\/archives\/assets_c\/2010\/05\/handbook_of_floating_point_arithmetic-688.html\" onclick=\"window.open('http:\/\/na-inet.jp\/weblog\/archives\/assets_c\/2010\/05\/handbook_of_floating_point_arithmetic-688.html','popup','width=2157,height=3091,scrollbars=no,resizable=no,toolbar=no,directories=no,location=no,menubar=no,status=no,left=0,top=0'); return false\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/na-inet.jp\/weblog\/archives\/assets_c\/2010\/05\/handbook_of_floating_point_arithmetic-thumb-200x286-688.jpg\" width=\"200\" height=\"286\" alt=\"handbook_of_floating_point_arithmetic.jpg\" class=\"mt-image-none\" style=\"\" \/><\/a><\/span><br \/>\n\u3000\u672c\u66f8\u306e\u7b2c5\u7ae0\u3067\u3084\u305f\u3089\u306b\u6d3e\u624b\u306bFMA\u6f14\u7b97(Fused Multiply-Add)\u306e\u5ba3\u4f1d\u3092\u3057\u3066\u3044\u308b\u3002\u65e5\u672c\u8a9e\u3067\u8a00\u3046\u3068\u8907\u5408\u7a4d\u548c\u8a08\u7b97\u3068\u3044\u3046\u3079\u304d\u306a\u306e\u304b\u306a\uff1f\u3000C99\u4ee5\u964d\u3067\u306f<br \/>\n\u3000fma(a, b, c) = a * b + c<br \/>\n\u3068\u3044\u3046\u8a08\u7b97\u3092\u3057\u3066\u304f\u308c\u308bfma\u95a2\u6570\u304c\u5099\u308f\u3063\u3066\u3044\u308b\u304c\uff0c\u3053\u308c\u3092CPU\u306e\u30cd\u30a4\u30c6\u30a3\u30d6\u30b3\u30fc\u30c9\u3067\u5b9f\u884c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3063\u3066\u306e\u304cMuller\u3089\u306e\u4e3b\u5f35\u3060\u3002IEEE754-2008\u898f\u683c\u306b\u3082\u5165\u3063\u3066\u3044\u308b\u3057\uff0cIntel\/AMD\u3067\u3082SSE5\u8ee2\u3058\u3066AVX\u547d\u4ee4\u30bb\u30c3\u30c8\u304c\u6b21\u306eCPU core\u304b\u3089\u5c0e\u5165\u3055\u308c\u308b\u3068\u30a2\u30ca\u30a6\u30f3\u30b9\u3055\u308c\u3066\u3044\u308b\u306e\u3067\u5927\u3044\u306b\u6d3b\u7528\u3057\u307e\u3057\u3087\u3046\u3063\u3066\u4e8b\u3089\u3057\u3044\u3002<br \/>\n\u3000\u3093\u3058\u3083\uff0c\u73fe\u72b6\u3069\u3046\u306a\u3063\u3066\u3044\u308b\u304b\uff0c\u3061\u3068\u8abf\u3079\u3066\u307f\u305f\u3002\u305d\u306e\u7d50\u679c\uff0c\u73fe\u5728\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u30ec\u30d9\u30eb\u3067\u5b9f\u88c5\u3057\u3066\u3042\u308b\u3082\u306e\u306f\u591a\u304f\u306a\u3044\u3002<a href=\"http:\/\/en.wikipedia.org\/wiki\/Multiply-accumulate#Fused_multiply-add\">\u82f1\u8a9e\u7248\u306eWikipedia\u306e\u8a18\u8ff0<\/a>\u3092\u8aad\u3080\u9650\u308a\uff0c\u73fe\u72b6\u3060\u3068SPARC64\u304c\u4e00\u756a\u8eab\u8fd1\uff08\uff1f\uff09\u304b\u306a\uff1f\u3000\u5efa\u8a2d\u4e2d\u306e\u6b21\u4e16\u4ee3\u30b9\u30d1\u30b3\u30f3\u3067\u306f\u4f7f\u3048\u308b\u307f\u305f\u3044\u3060\u304b\u3089\uff0c\u5927\u3044\u306b\u6d3b\u7528\u3057\u3066\u3082\u3089\u3044\u305f\u3044\u3082\u306e\u3067\u3042\u308b\u3002<br \/>\n\u3000\u3067\uff0c\u305d\u30fc\u3086\u30fc\u300c\u4e00\u756a\u3092\u76ee\u6307\u3057\u306a\u304c\u3089\u300c2\u756a\u3058\u3083\u30c0\u30e1\u306a\u3093\u3067\u3059\u304b\uff1f\u300d\u3068\u52a9\u3051\u8239\u3092\u51fa\u3057\u3066\u3082\u3089\u3063\u305f\u300d\u8c6a\u83ef\u7d62\u721b\u304a\u91d1\u6301\u3061\u30de\u30b7\u30f3\u3068\u306f\u7e01\u9060\u3044\u4e00\u822c\u30d4\u30fc\u30dd\u30fc\u306a\u30ef\u30b7\u3089\u306f\u3069\u30fc\u306a\u308b\u308f\u3051\uff1f\u3000\u3053\u308c\u306f\u524d\u8ff0\u3057\u305f\u901a\u308a\uff0cIntel\/AMD\u306ex86_64 CPU\u3067<a href=\"http:\/\/pc.watch.impress.co.jp\/docs\/column\/kaigai\/20090518_168661.html\">\u6b21\u306eSandy Bridge\u304b\u3089\u53d6\u308a\u5165\u308c\u3089\u308c\u308bAVX\u547d\u4ee4\u306bFMA\u6f14\u7b97\u304c\u5165\u308b\u4e88\u5b9a\u3089\u3057\u3044<\/a>\u306e\u3067\uff0c\u305d\u308c\u3092\u5f85\u3064\u3057\u304b\u306a\u3044\u3002\u305f\u3060\u305d\u308c\u3082\u78ba\u5b9a\u4e8b\u9805\u3067\u306f\u306a\u3044\u3088\u3046\u3067\uff0cFMA\u547d\u4ee4\u304c\uff0cAMD\u3067\u306f\u4f7f\u3048\u308b\u3051\u3069\uff0cIntel\u3067\u306f\u30c0\u30e1\uff0c\u3068\u3044\u3046\u4e8b\u614b\u3082\u3042\u308a\u5f97\u308b\u3057\uff0cFMA\u547d\u4ee4\u306b\u4e92\u63db\u6027\u304c\u306a\u304f\u306a\u3063\u3061\u3083\u3046\u53ef\u80fd\u6027\u3082\u306a\u3044\u308f\u3051\u3067\u306f\u306a\u3055\u305d\u3046\u30fb\u30fb\u30fb\u3068\u306a\u308b\u3068\uff0cMuller\u3089\u306e\u4e3b\u5f35\u306b\u306f\u3061\u3087\u3063\u3068\u9996\u3092\u304b\u3057\u3052\u3066\u3057\u307e\u3046\u3002Intel\u306b\u3057\u308dAMD\u306b\u3057\u308d\u5bcc\u58eb\u901a\u306b\u3057\u308d\uff0c\u6240\u8a6e\u306f\u30de\u30fc\u30b1\u30c3\u30c8\u304c\u8981\u6c42\u3057\u3066\u9700\u8981\u304c\u30b3\u30b9\u30c8\u306b\u898b\u5408\u3048\u3070\u5b9f\u88c5\u3059\u308b\u3057\uff0c\u898b\u5408\u308f\u306a\u3051\u308c\u3070\u5b9f\u88c5\u3057\u306a\u3044\u3068\u3044\u3046\u3060\u3051\u306e\u3053\u3068\u3060\u308d\u3046\u3002\u307e\uff0c\u4f7f\u3044\u305f\u3051\u308c\u3070\u5f85\u3064\u307b\u304b\u306a\u3044\u8a33\u3060\u3002<br \/>\n\u3000\u8abf\u3079\u3066\u3044\u308b\u9014\u4e2d\uff0c\u3061\u3087\u3063\u3068\u6c17\u306b\u306a\u3063\u305f\u8a18\u8ff0\u304c\u3042\u3063\u305f\u306e\u3067\u6700\u5f8c\u306e\u6700\u5f8c\u306b\u7d39\u4ecb\u3060\u3051\u3057\u3066\u304a\u304f\u3002\u8a73\u7d30\u3092\u3054\u5b58\u3058\u306e\u65b9\u306f\u662f\u975e\u3068\u3082\u3054\u4e00\u5831\u3044\u305f\u3060\u304d\u305f\u3044\u3002<br \/>\n\u3000\u3069\u3046\u3084\u3089\uff0cx86\u4e92\u63dbCPU\u3092\u4f5c\u3063\u3066\u3044\u308b<a href=\"http:\/\/www.faqs.org\/patents\/app\/20080256162\">VIA\u304cx87\u547d\u4ee4\u306bFMA\u3092\u30b5\u30dd\u30fc\u30c8\u3059\u308b\u7279\u8a31<\/a>\u3092\u53d6\u3063\u3066\u3044\u308b\u3089\u3057\u3044\u306e\u3060\u3002<br \/>\n\u3000\u305d\u306e\u5f8c\u51fa\u8377\u3055\u308c\u305fVIA Nano\u30d7\u30ed\u30bb\u30c3\u30b5\u306b\u642d\u8f09\u3055\u308c\u305fIsaiah\u547d\u4ee4\u30bb\u30c3\u30c8\u306b\u306fFMA\u6f14\u7b97\u306b\u3064\u3044\u3066\u8a18\u8ff0\u304c\u3042\u308b(<a href=\"http:\/\/www.via.com.tw\/en\/downloads\/whitepapers\/processors\/WP080124Isaiah-architecture-brief.pdf\">\u3053\u306ePDF\u30d5\u30a1\u30a4\u30eb<\/a>\u306eP.10)<br \/>\n\u3000\u5f15\u7528\u3059\u308b\u3068<\/p>\n<blockquote><p>The multiply unit also has a fused floating-point multiply-add function that is used by the\u3000transcendental algorithms.<\/p><\/blockquote>\n<p>\u3063\u3064\u30fc\u3053\u3068\u3067\uff0c\u4e09\u89d2\u95a2\u6570\u306e\u8a08\u7b97\u306b\u6d3b\u7528\u3059\u308b\u76ee\u7684\u3067\u5165\u3063\u305f\u3088\u3046\u3060\u3002\u305f\u3060\u3057\u3053\u306e\u8a18\u8ff0\u3060\u3051\u3067\u306f\uff0c\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u306e\u6a5f\u80fd\u3068\u3057\u3066FMA\u6f14\u7b97\u306f\u4f7f\u3063\u3066\u3044\u305f\u3068\u3057\u3066\u3082\u5358\u72ec\u306eInstruction\u3068\u3057\u3066\u63d0\u4f9b\u3055\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u306f\u4e0d\u660e\u3002\u3042\u3063\u305f\u3068\u3057\u3066\u3082\u6240\u8a6e\u306f\u4e92\u63dbCPU\u306a\u306e\u3067\uff0c\u4f7f\u7528\u3055\u308c\u3066\u3044\u306a\u3044\u53ef\u80fd\u6027\u3082\u3042\u308b\u3002\u30fb\u30fb\u30fb\u307e\u3041\uff0c\u4f7f\u3048\u305f\u3068\u3057\u3066\u3082Nano\u3067\u6570\u5024\u8a08\u7b97\u3092\u30d0\u30ea\u30d0\u30ea\u3084\u308a\u305f\u3044\u3068\u3044\u3046\u30e6\u30fc\u30b6\u306f\u5c11\u306a\u3044\u3060\u308d\u3046\u3051\u3069\u306d\u3047\u3002<br \/>\n\u3000\u30fb\u30fb\u30fb\u4ee5\u4e0a\u3092\u3082\u3063\u3066\uff0c\u66f8\u8a55\u306b\u3042\u308b\u307e\u3058\u304d\u9577\u3055\u306e\u3077\u3061\u3081\u308c\uff08\u3069\u3053\u304c\u300c\u3077\u3061\u300d\u306a\u3093\u3060\u304b\uff09\u3092\u7d42\u308f\u308b\u3053\u3068\u306b\u3059\u308b\u3002\u662f\u975e\u3068\u3082\u3069\u3063\u304b\u306e\u51fa\u7248\u793e\u3067\u7ffb\u8a33\u3057\u3066\u304f\u3093\u306a\u3044\u304b\u306a\u3041\uff5e\uff0c\u3055\u305b\u3066\u304f\u3093\u306a\u3044\u304b\u306a\uff5e\u30fb\u30fb\u30fb\u3068\u304a\u306d\u3060\u308a\u3082\u3064\u3044\u3067\u306b\u3057\u3066\u304a\u3053\u3046\u3063\u3068\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ Amazon ] ISBN 978-0-8176-4704-9, \\13666(2010\u5e744\u6708\u73fe\u5728) \u3000\u672c\u66f8\u306e\u7b2c5\u7ae0\u3067\u3084\u305f\u3089\u306b\u6d3e\u624b\u306bFMA\u6f14\u7b97(Fused Multiply-Add)\u306e\u5ba3\u4f1d\u3092\u3057\u3066\u3044\u308b\u3002\u65e5\u672c\u8a9e\u3067\u8a00\u3046\u3068\u8907 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/na-inet.jp\/weblog2\/2010\/05\/05\/44_j-mmuller_etal_handbook_of\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;[4\/4] J-.M.Muller et.al, &#8220;Handbook of Floating-point Arithmetic&#8221;, Birkhauser&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_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}},"categories":[3],"tags":[],"class_list":["post-1508","post","type-post","status-publish","format-standard","hentry","category-3"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/posts\/1508","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=1508"}],"version-history":[{"count":0,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/posts\/1508\/revisions"}],"wp:attachment":[{"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/media?parent=1508"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/categories?post=1508"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/tags?post=1508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}