{"id":1507,"date":"2010-05-05T09:51:27","date_gmt":"2010-05-05T00:51:27","guid":{"rendered":"http:\/\/na-inet.jp\/new-na-inet\/weblog\/2010\/05\/34_j-mmuller_etal_handbook_of\/"},"modified":"2010-05-05T09:51:27","modified_gmt":"2010-05-05T00:51:27","slug":"34_j-mmuller_etal_handbook_of","status":"publish","type":"post","link":"https:\/\/na-inet.jp\/weblog2\/2010\/05\/05\/34_j-mmuller_etal_handbook_of\/","title":{"rendered":"[3\/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\u30fb\u30fb\u30fb\u5c31\u5bdd\u524d\u306e\u5bdd\u307c\u3051\u773c\u3067\u30a2\u30c3\u30d7\u3057\u305f\u524d\u66f8\u304d\u90e8\u5206\u3092\u4eca\u8aad\u307f\u8fd4\u3057\u3066\u3044\u305f\u3089\uff0c\u6c17\u306b\u306a\u308b\u7b87\u6240\u304c\u307c\u308d\u307c\u308d\u51fa\u3066\u304d\u305f\u3002\u306a\uff5e\u3093\u304b\u975e\u5e38\u306b\u307f\u3063\u3068\u3082\u306a\u3044\u306a\u3041\u3068\u601d\u3044\u3064\u3064\uff0c\u4e0a\u3052\u3061\u3083\u3063\u305f\u304b\u3089\u3057\u3083\u30fc\u306a\u3044\u304b\uff0c\u3068\u3044\u3046\u5883\u5730\u306b\u7d041\u5206\u3092\u8981\u3057\u3066\u305f\u3069\u308a\u7740\u3044\u305f\u3002\u3064\u30fc\u3053\u3068\u3067\uff0c\u904e\u304e\u53bb\u3063\u305f\u904e\u53bb\u306e\u3053\u3068\u306f\u304d\u308c\u3044\u3055\u3063\u3071\u308a\u5fd8\u308c\u308b\u3053\u3068\u306b\u3057\u3066\uff0c\u4ee5\u4e0b\u3067\u306f\u672c\u66f8\u306e\u5185\u5bb9\u306b\u3064\u3044\u3066\uff0c\u3056\u3063\u3068\u76ee\u3092\u901a\u3057\u3066\u307f\u305f\u611f\u60f3\u3092\u66f8\u304d\u4ed8\u3051\u308b\u3053\u3068\u306b\u3059\u308b\u3002<br \/>\n\u3000\u524d\u66f8\u304d\u306b\u3082\u66f8\u3044\u3066\u3042\u308b\u3088\u3046\u306b\uff0c\u672c\u66f8\u306f\u73fe\u5728\u306e\u6d6e\u52d5\u5c0f\u6570\u70b9\u6f14\u7b97(Floating-point arithmetic, \u4ee5\u4e0bFP\u6f14\u7b97\u3068\u7565\u8a18)\u306e\u6709\u308a\u69d8\u3092\u672c\u6587528\u30da\u30fc\u30b8\u3068\u3044\u3046\u30b3\u30f3\u30d1\u30af\u30c8\u306a\u30cf\u30f3\u30c9\u30d6\u30c3\u30af\u306e\u5f62\u3067\u307e\u3068\u3081\u305f\u3082\u306e\u3067\u3042\u308b\u3002\u305d\u306e\u5185\u5bb9\u306f\u6b21\u306e6\u90e8\u306b\u5206\u5272\u3055\u308c\u3066\u3044\u308b\u3002<br \/>\n\u7b2c\u4e00\u90e8\u3000\u6d6e\u52d5\u5c0f\u6570\u70b9\u4e8b\u59cb\u3081\uff0c\u57fa\u790e\u5b9a\u7fa9\uff0c\u6280\u8853\u6a19\u6e96<br \/>\n\u7b2c\u4e8c\u90e8\u3000\u6d6e\u52d5\u5c0f\u6570\u70b9\u6f14\u7b97\u306e\u8ce2\u3044\u4f7f\u3044\u65b9<br \/>\n\u7b2c\u4e09\u90e8\u3000\u6d6e\u52d5\u5c0f\u6570\u70b9\u8a08\u7b97\u306e\u5b9f\u88c5<br \/>\n\u7b2c\u56db\u90e8\u3000\u521d\u7b49\u95a2\u6570<br \/>\n\u7b2c\u4e94\u90e8\u3000\u6d6e\u52d5\u5c0f\u6570\u70b9\u6f14\u7b97\u306e\u62e1\u5f35<br \/>\n\u7b2c\u516d\u90e8\u3000\u7d50\u8ad6\u3068\u4eca\u5f8c\u306e\u5c55\u671b<br \/>\n\u30009\u4eba\u306e\u5171\u8457\u3068\u306f\u8a00\u3048\uff0cFP\u6f14\u7b97\u3084\u521d\u7b49\u95a2\u6570\u8fd1\u4f3c\u306e\u6570\u5b66\u7684\u7406\u8ad6\u304b\u3089\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u74b0\u5883\u306e\u3053\u3068\u307e\u3067\uff0c\u3088\u304f\u3082\u307e\u3041\u3053\u308c\u3060\u3051\u5c04\u7a0b\u306e\u5e83\u3044\u5185\u5bb9\u3092\u4e00\u518a\u306e\u672c\u306b\u307e\u3068\u3081\u3066\u3057\u307e\u3063\u305f\u3082\u306e\u3060\u3068\u611f\u5fc3\u3059\u308b\u4ed6\u306a\u3044\u3002\u5f53\u5206\u306e\u9593\uff0c\u30ef\u30b7\u306fFP\u6f14\u7b97\u306e\u7d30\u304b\u3044\u3053\u3068\u3092\u8cea\u554f\u3055\u308c\u305f\u3089\u672c\u66f8\u3092\u7d10\u89e3\u3044\u3066\u300cMuller\u672c\u306e\uff5e\u30da\u30fc\u30b8\u306b\u3053\u3046\u66f8\u3044\u3066\u3042\u308b\u305c\u300d\u3068\u30a8\u30e9\u305d\u30fc\u306b\u80fd\u66f8\u304d\u3092\u305f\u308c\u308b\u3053\u3068\u306b\u3057\u3088\u3046\u3068\u601d\u3063\u3066\u3044\u308b\u7a0b\u3067\u3042\u308b\u3002\u3068\u306f\u3044\u3048\uff0c\u3056\u3063\u3068\u773a\u3081\u3066\u307f\u308b\u3068\uff0c\u3056\u304f\u3056\u304f\u3068\u5c71\u9053\u3092\u9020\u3063\u3066\u304f\u308c\u305f\u5049\u4eba\u9054\u306b\uff0c\u300c\u3042\uff0c\u305d\u306e\u9053\u3061\u3087\u3063\u3068\u66f2\u304c\u3063\u3066\u307e\u3059\u3088\u300d\u3068\u304b\u300c\u307e\u3060\u3053\u306e\u3042\u305f\u308a\u306b\u8349\u304c\u6b8b\u3063\u3066\u307e\u3059\u3088\u300d\u7684\u306a\u30c1\u30de\u30c1\u30de\u3057\u305f\u6587\u53e5\u3092\u8a00\u3044\u305f\u304f\u306a\u3063\u3066\u3057\u307e\u3063\u305f\u3002\u4ee5\u4e0b\uff0c\u60f0\u5f31\u306a\u8ffd\u968f\u8005\u304c\uff0c\u3053\u306e6\u90e8\u306e\u5185\u5bb9\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3064\u3044\u3067\u306b\u3061\u307f\u3063\u3068\u30d6\u30fc\u305f\u308c\u308b\u3053\u3068\u306b\u3059\u308b\u3002\u3082\u3061\u308d\u3093\u5c48\u5f37\u306a\u5c71\u7537\u9054\u306b\u300c\u7d30\u304b\u3044\u3053\u3068\u8a00\u3063\u3066\u3093\u3058\u3083\u306d\u30fc\u3088\u300d\u3068\u30bf\u30b3\u6bb4\u308a\u3055\u308c\u308b\u3053\u3068\u306f\u899a\u609f\u306e\u4e0a\u3060\uff08\u30c9\u30ad\u30c9\u30ad\u30c9\u30ad\uff09\u3002<br \/>\n\u3000\u7b2c\u4e00\u90e8\u306f\u6d6e\u52d5\u5c0f\u6570\u70b9\u6f14\u7b97\u306e\u6b74\u53f2(\u7b2c1\u7ae0)\u304b\u3089\u5165\u308a\uff08\u3064\u30fc\u3066\u3082\u7d30\u304b\u3044\u3053\u3068\u306fKnuth\u672c\u3092\u53c2\u7167\u305b\u3088\u3068\u306a\u3063\u3066\u3044\u308b\uff09\uff0c\u7b2c2\u7ae0\u3067\u4e38\u3081\u30fb\u8aa4\u5dee\u30fbFMA\u6f14\u7b97\u30fb\u533a\u9593\u6f14\u7b97\u3092\u5b9a\u7fa9\u3057\uff0c\u7b2c3\u7ae0\u3067IEEE754-1985\u3068IEEE854\u3092\u304f\u3063\u3064\u3051\u3066\u65b0\u305f\u306b\u5236\u5b9a\u3055\u308c\u305fIEEE754-2008\u898f\u683c\u306e\u89e3\u8aac\u30fbFPA\u6f14\u7b97\u74b0\u5883\u30c1\u30a7\u30c3\u30af\u30c4\u30fc\u30eb(MACHAR\u3068\u304bparanoia\u306a\u3069)\u306e\u8aac\u660e\u3092\u884c\u3063\u3066\u3044\u308b\u3002\u4ed6\u306e\u90e8\u306f\u5fc5\u8981\u304c\u3042\u308b\u3068\u3053\u308d\u3060\u3051\u53c2\u7167\u3059\u308b\u7a0b\u5ea6\u3067\u3082\uff0c\u3053\u3053\u306f\u4e00\u901a\u308a\u76ee\u3092\u901a\u3057\u3066\u304a\u3044\u305f\u65b9\u304c\u826f\u3044\u3002\u7279\u306b\u7cbe\u5ea6\u4fdd\u8a3c\uff08\u3053\u306e\u7528\u8a9e\u3082\u8aa4\u89e3\u3092\u62db\u304d\u3084\u3059\u3044\u306e\u3067\u4f55\u3068\u304b\u3057\u3066\u4e0b\u3055\u3044\uff1e\u4e5d\u5927\u30fb\u65e9\u5927\u30b0\u30eb\u30fc\u30d7\u306e\u65b9\u3005\uff09\u3092\u5fd7\u305d\u3046\u3068\u3044\u3046\u7269\u597d\u304d\u306a\u4eba\u306b\u306f\u4e38\u3081\u8aa4\u5dee\u306b\u3064\u3044\u3066\uff0c\u3084\u305f\u3089\u7d30\u304b\u3044\u3051\u3069\u5fc5\u9808\u306e\u4e8b\u67c4\u3092\u89e3\u8aac\u3057\u3066\u3044\u308b\u306e\u3067\u5fc5\u8aad\u3067\u3042\u308b\u3002ULP(unit in the last place)\u306b2\u7a2e\u985e\u306e\u5b9a\u7fa9\u3042\u308b\u3063\u3066\u521d\u3081\u3066\u77e5\u3063\u305f\u30ef\u30a4\u3002<br \/>\n\u3000\u7b2c\u4e8c\u90e8\u3067\u306fFP\u6f14\u7b97\u3092\u6d3b\u7528\u3057\u305f\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7d39\u4ecb\u3092\u3057\u3066\u3044\u308b\u3002\u89e3\u8aac\u3060\u3051\u3067\u306a\u304f\uff0c\u6253\u3061\u8fbc\u3081\u3070\u305d\u306e\u307e\u307e\u5b9f\u884c\u3067\u304d\u308b\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9\u4ed8\u304d\u306a\u306e\u3067\uff0cFP\u6570(Floating-point Number)\u3092\u7e4b\u3052\u30664\u500d\uff0c8\u500d\u30fb\u30fb\u30fb\u7cbe\u5ea6\u6f14\u7b97\u3092\u3057\u3088\u3046\u3068\u3044\u3046\u4eba\uff0c\u7cbe\u5ea6\u4fdd\u8a3c\u4ed8\u304d(\u3063\u3066\u8a00\u3044\u65b9\u597d\u304d\u3058\u3083\u306a\u3044\u3093\u3060\u3051\u3069)\u7dda\u578b\u8a08\u7b97\u3092\u3057\u305f\u3044\u4eba\u306b\u3068\u3063\u3066\u306f\u5fc5\u8aad\u3002\u30aa\u30bf\u30af\u7684\u306aFP\u6f14\u7b97\u6c42\u9053\u8005\u3058\u3083\u306a\u3044\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u5c4b\u3055\u3093\u3067\u3082\uff0c\u4eca\u306eFortran, C, C++, Java\u3067\u3069\u306e\u3088\u3046\u306bFP\u6f14\u7b97\u304c\u6271\u308f\u308c\u3066\u3044\u308b\u304b\u3092\u77e5\u308b\u305f\u3081\u306b\u7b2c7\u7ae0\u3092\u3056\u3063\u3068\u773a\u3081\u3066\u304a\u304f\u306e\u306f\u826f\u3044\u3053\u3068\u306a\u3093\u3058\u3083\u306a\u3044\u304b\u306a\uff5e\u3002<br \/>\n\u3000\u7b2c\u4e09\u90e8\u3067\u306f\u57fa\u672c\u7684\u306aFP\u6f14\u7b97\u306e\u5b9f\u88c5\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u308b\u3002\u307e\u305a\u7b2c8\u7ae0\u3067\u56db\u5247\u6f14\u7b97\uff0c\u5e73\u65b9\u6839\uff0cFMA\u6f14\u7b97\u306e\uff0cIEEE754-2008\u898f\u683c\u306b\u57fa\u3065\u3044\u305f\u5b9f\u88c5\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u308b\u3002\u7b2c9\u7ae0\u3067\u306f\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u3092\u7528\u3044\u305f\u30c7\u30b8\u30bf\u30eb\u56de\u8def\u3067\u306e\u5b9f\u88c5\u306b\u3064\u3044\u3066\uff0c\u7b2c10\u7ae0\u3067\u306f\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3068\u3057\u3066\u5b9f\u88c5\u3059\u308b\u305f\u3081\u306e\u89e3\u8aac\u3068\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9\u4f8b\u304c\u793a\u3055\u308c\u3066\u3044\u308b\u3002\u73fe\u5728\u3053\u308c\u3060\u3051IEEE754-1985\u898f\u683c\u3092\u642d\u8f09\u3057\u305fFP\u6f14\u7b97Unit\u642d\u8f09CPU\u304c\u666e\u53ca\u3057\u3066\u3057\u307e\u3046\u3068\uff0c\u65e2\u5b58\u306eCPU\u30e1\u30fc\u30ab\u30fc\uff0cIntel, AMD, SUN, IBM\u304c\u9ad8\u901f\u304b\u3064\u7cbe\u5ea6\u62e1\u5f35\u3057\u305fFP\u6f14\u7b97\u3092\u5b9f\u88c5\u3057\u3066\u9ad8\u901f\u5316\u3057\u3066\u304f\u308c\u308b\uff0c\u306a\u3093\u3066\u3053\u3068\u306f\u3053\u306e\u5148\u3042\u307e\u308a\u671f\u5f85\u3067\u304d\u306a\u3044\u3002\u660e\u78ba\u306a\u5fdc\u7528\u76ee\u7684\u3092\u6301\u3063\u305f\u500b\u3005\u306e\u7814\u7a76\u30b0\u30eb\u30fc\u30d7\u30fb\u4f01\u696d\u304c\u72ec\u81ea\u306b\u958b\u767a\u3092\u62c5\u308f\u306d\u3070\u306a\u3089\u306a\u3044\u3068\u306a\u308c\u3070\uff0c\u3053\u306e\u7b2c\u4e09\u90e8\u306e\u89e3\u8aac\u306f\u5f7c\u3089\u306b\u5bfe\u3057\u3066\u91cd\u8981\u306a\u77e5\u7684\u57fa\u76e4\u3092\u63d0\u4f9b\u3057\u3066\u304f\u308c\u308b\u3060\u308d\u3046\u3002<br \/>\n\u3000\u7b2c\u56db\u90e8\u3067\u306f\u521d\u7b49\u95a2\u6570\u306e\u8fd1\u4f3c\u624b\u6cd5\u306b\u3064\u3044\u3066\u306e\u89e3\u8aac\u3060\u304c\uff0c\u552f\u4e00\uff0c\u3053\u306e\u90e8\u5206\u306f\u3042\u307e\u308a\u611f\u5fc3\u3057\u306a\u304b\u3063\u305f\u3002\u3053\u3068\u306b\u7b2c12\u7ae0\u3067\u6570\u8868\u4f5c\u6210\u8005\u306e\u30b8\u30ec\u30f3\u30de(Table-Maker&#8217;s Dilemma, \u4ee5\u4e0bTMD\u3068\u7565\u8a18)\u306e\u8b70\u8ad6\u306b\u4e00\u7ae0\u8cbb\u3084\u3057\u3066\u3044\u308b\u306e\u306f\u3068\u3082\u304b\u304f\uff0c<a href=\"http:\/\/na-inet.jp\/weblog\/archives\/000985.html\">Muller\u306e\u524d\u4f5c<\/a>\u3092\u30b3\u30f3\u30d1\u30af\u30c8\u306b\u3057\u305f\u5185\u5bb9\u3092\u671f\u5f85\u3057\u3066\u305f\u3089\uff0c\u305d\u3053\u304c\u5168\u90e8\u3059\u3063\u98db\u3093\u3058\u3083\u3063\u305f\u3068\u3044\u3046\u611f\u3058\u3067\u3042\u308b\u3002\u521d\u7b49\u95a2\u6570\u8fd1\u4f3c\u624b\u6cd5\u3068\u3057\u3066Remez\u6cd5\u306e\u8aac\u660e\u304c\u7b2c11\u7ae0\u3067\u306a\u3055\u308c\u3066\u3044\u308b\u4ee5\u5916\uff0c\u3042\u307e\u308a\u6709\u7528\u306a\u60c5\u5831\u306f\u306a\u3044\u3002\u30aa\u30bf\u30af\u7684\u306a\u8208\u5473\u306e\u3042\u308b\u4eba\u4ee5\u5916\u306f\uff0c\u95a2\u6570\u8fd1\u4f3c\u624b\u6cd5\u3092\u77e5\u308a\u305f\u3044\u306a\u3089Muller\u306e\u524d\u4f5c\u3092\u5165\u624b\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u3066\u304a\u304f\u3002\u30fb\u30fb\u30fb\u30db\u30f3\u30c8\uff0c\u3053\u306e\u30d5\u30e9\u30f3\u30b9\u30b0\u30eb\u30fc\u30d7\u3063\u3066\u306e\u306fTMD\u304c\u597d\u304d\u3060\u3088\u306d\u3047\uff5e\u3002\u307e\uff0cLefevre\u3055\u3093\u306e\u8da3\u5473\u306a\u3093\u3060\u308d\u3046\u3051\u3069\u3055\u3041\uff5e\u3002<br \/>\n\u3000\u7b2c\u4e94\u90e8\u306f\u5b8c\u5168\u306b\u3053\u306e\u65b9\u9762\u306e\u7814\u7a76\u8005\u5411\u3051\u3068\u3044\u3046\u5185\u5bb9\u30fb\u30fb\u30fb\u304b\u306a\uff1f\u3000\u7b2c13\u7ae0\u3067\u306f\u7cbe\u5ea6\u4fdd\u8a3c(\u30db\u30f3\u30c8\u306b\u3053\u306e\u7528\u8a9e\u4f55\u3068\u304b\u3057\u305f\u65b9\u304c\u3044\u3044)\u3092\u62e1\u5f35\u3057\u3066\u5f62\u5f0f\u7684\u8a3c\u660e\u554f\u984c\u306b\u5fdc\u7528\u3057\u3088\u3046\u3068\u3044\u3046\u304a\u8a71\u304f\u3055\u3044\u3002\u30ab\u30ec\u30f3\u30c8\u30c6\u30fc\u30de\u3063\u3066\u3053\u3068\u306f\u77e5\u3063\u3066\u308b\u3051\u3069\uff0c\u30ef\u30b7\u306f\u8208\u5473\u30ca\u30c3\u30b7\u30f3\u30b0\u306a\u306e\u3067\u8a73\u3057\u3044\u4eba\u306b\u89e3\u8aac\u306f\u4efb\u305b\u305f\u3002\u3067\u3082Gappa\u3063\u3066\u306e\u306f\u3061\u3087\u3063\u3068\u8208\u5473\u304c\u6cb8\u3044\u305f\u304b\u306a\uff1f\u3000\u7b2c14\u7ae0\u306f\u591a\u500d\u9577\u8a08\u7b97\u306e\u304a\u8a71\u3002\u7b2c\u4e8c\u90e8\u7b2c4\u7ae0\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u89e3\u8aac\u3092\u53d7\u3051\u3066\uff0c\u65e2\u5b58\u306e\u500d\u7cbe\u5ea6FP\u6570\u3092\u4e26\u3079\u30664\u500d\uff0c6\u500d(\u500d\u7cbe\u5ea6\u306e3\u500d\u306e\u7cbe\u5ea6\u306e\u610f\u5473\u306d)\u8a08\u7b97\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u8aac\u660e\u3057\u3066\u3044\u308b\u30fb\u30fb\u30fb\u3051\u3069\uff0cGMP\u306e\u3088\u3046\u306b\u6574\u6570\u6f14\u7b97\u30d9\u30fc\u30b9\u306e\u591a\u500d\u9577\u8a08\u7b97\u306e\u304a\u8a71\u306f\u3042\u307e\u308a\u306a\u3044\u3002\u591a\u500d\u9577\u6574\u6570\u6f14\u7b97\u306e\u9ad8\u901f\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u89e3\u8aac\u3092\u77e5\u308a\u305f\u3051\u308c\u3070<a href=\"http:\/\/gmplib.org\/manual\/Algorithms.html#Algorithms\">GMP<\/a>\u3068\u304b<a href=\"http:\/\/www.mpir.org\/mpir-2.0.0.pdf\">MPIR\u306e\u30de\u30cb\u30e5\u30a2\u30eb<\/a>(PDF)\u3092\u53c2\u7167\u3057\u3066\u6b32\u3057\u3044\u3002\u3061\u306a\u307f\u306b\uff0cP.511\u3067<a href=\"http:\/\/crd.lbl.gov\/~dhbailey\/mpdist\/\">ARPREC<\/a>\u3082&#8221;Large Precision Relying on Processor Integers&#8221;\u3067\u8a9e\u3089\u308c\u3066\u3044\u308b\u3051\u3069\uff0c\u5c11\u306a\u304f\u3068\u3082mp_real\u306fdouble\u578b\u306e\u62e1\u5f35\u3060\u3063\u305f\u306f\u305a\u30fb\u30fb\u30fb\u3061\u3087\u3063\u3068\u8aa4\u89e3\u3092\u62db\u304d\u305d\u3046\u3060\u3002<br \/>\n\u3000\u7b2c\u516d\u90e8\u306f\u3056\u3063\u3068\u3057\u305f\u307e\u3068\u3081\u3068\u4eca\u5f8c\u306e\u5c55\u671b\u3068\u4ed8\u9332\u3002\u3057\u304b\u3057\u30fb\u30fb\u30fbIEEE754-2008\u898f\u683c\u304c\u4eca\u5f8c\u5b9f\u88c5\u3055\u308c\u3066\u3044\u304f\u3068\u3044\u3046\u65b9\u5411\u306f\u8a8d\u3081\u308b\u3068\u3057\u3066\uff0c\u305d\u306e\u6b69\u307f\u304c\u901f\u3044\u304b\u3069\u3046\u304b\u306f\u7591\u554f\u3067\u3042\u308b\u3002\u5f8c\u8ff0\u3059\u308bFMA\u6f14\u7b97\u5b9f\u88c5\u72b6\u6cc1\u3092\u8003\u3048\u308b\u3068\uff0c\u8457\u8005\u3089\u306e\u8a8d\u8b58\u306f\u3061\u3068\u697d\u89b3\u7684\u3059\u304e\u308b\u3088\u3046\u306a\u6c17\u304c\u3059\u308b\u3002\u3000<br \/>\n\u3000\u30fb\u30fb\u30fb\u3068\u307e\u3041\uff0c\u304b\u306a\u308a\u5927\u96d1\u628a\u306b\u672c\u66f8\u306e\u5185\u5bb9\u306e\u300c\u5370\u8c61\u300d\u3092\u307e\u3068\u3081\u3066\u307f\u305f\u3002\u30ef\u30b7\u306e\u6301\u3063\u3066\u3044\u308b\u672c\u66f8\u306f\uff0c\u7b2c13\u7ae0\u306b\u7b2c12\u7ae0\u306e\u6700\u5f8c\u304c\u304f\u3063\u3064\u3044\u305f\u7b2c\u4e94\u90e8\u304c\u91cd\u8907\u3057\u3066\u63b2\u8f09\u3055\u308c\u3066\u3044\u308b\u3068\u3044\u3046\u4e71\u66b4\u306a\u4ee3\u7269\u3060\u3057\uff08\u300c\u843d\u4e01\u300d\u3058\u3083\u306a\u3044\u304b\u3089\u6587\u53e5\u3092\u8a00\u3046\u7b4b\u5408\u3044\u3067\u306f\u306a\u3044\u3051\u3069\uff09\uff0c\u4e00\u90e8\u300c\u8a00\u3044\u904e\u304e\u300d\u300c\u8a00\u3044\u8db3\u3089\u306a\u904e\u304e\u300d\u3063\u3066\u7b87\u6240\u3082\u3042\u308b\u306e\u3067\uff0c\u3069\u30fc\u3082\uff0c\u672c\u66f8\u3092FP\u6f14\u7b97\u306e\u300c\u8056\u5178\u300d\u3068\u8a00\u3044\u5207\u308b\u306b\u306f\u81f3\u3089\u306a\u3044\u3002\u3057\u304b\u3057\uff0c\u305d\u308c\u3082\u3053\u308c\u3082\u3053\u306eMuller\u3092\u4e2d\u5fc3\u3068\u3059\u308b\u30d5\u30e9\u30f3\u30b9\u30b0\u30eb\u30fc\u30d7\u306e\u529b\u5f37\u3055\u306e\u73fe\u308c\u3068\u601d\u3048\u3070\uff0c\u672c\u66f8\u306f\u5f7c\u3089\u306e\u529b\u696d\u306b\u3088\u308b\u300c\u529b\u4f5c\u300d\u3067\u3042\u308b\u3053\u3068\u306f\u9593\u9055\u3044\u306a\u3044\u300213000\u5186\u306e\u4fa1\u683c\u306f\u78ba\u304b\u306b\u9ad8\u3044\u3051\u3069\uff0c\u3053\u306e\u5206\u91ce\u306b\u8208\u5473\u304c\u3042\u3063\u3066\u305d\u3053\u3067\u304a\u307e\u3093\u307e\u3092\u98df\u3063\u3066\u3044\u308b\u4eba\u9593\u304c\u305d\u306e\u7d4c\u6e08\u529b\u306e\u4e00\u90e8\u3092\u632f\u308a\u5411\u3051\u3066\u5f7c\u3089\u306b\u559c\u6368\u3059\u308b\u306e\u3060\u3068\u601d\u3048\u3070\uff0c\u304a\u5b89\u3044\u3082\u306e\u3067\u306f\u306a\u3044\u3060\u308d\u3046\u304b\uff1f<br \/>\n\u3000\u3067\u306f\u4e71\u66b4\u3055\u306e\u4e00\u90e8\u3092\u3053\u3053\u3067\u3054\u7d39\u4ecb\u3057\u3066\uff0c\u4e2d\u7de0\u3081\u3068\u3057\u3088\u3046\u3002<br \/>\n<span class=\"mt-enclosure mt-enclosure-image\" style=\"display: inline;\"><a href=\"http:\/\/na-inet.jp\/weblog\/archives\/assets_c\/2010\/05\/section_12_5_in_chapter13-691.html\" onclick=\"window.open('http:\/\/na-inet.jp\/weblog\/archives\/assets_c\/2010\/05\/section_12_5_in_chapter13-691.html','popup','width=1280,height=960,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\/section_12_5_in_chapter13-thumb-250x187-691.jpg\" width=\"250\" height=\"187\" alt=\"section_12_5_in_chapter13.JPG\" class=\"mt-image-none\" style=\"\" \/><\/a><\/span><br \/>\n<span class=\"mt-enclosure mt-enclosure-image\" style=\"display: inline;\"><a href=\"http:\/\/na-inet.jp\/weblog\/archives\/assets_c\/2010\/05\/mutiple_part_vs-694.html\" onclick=\"window.open('http:\/\/na-inet.jp\/weblog\/archives\/assets_c\/2010\/05\/mutiple_part_vs-694.html','popup','width=1280,height=960,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\/mutiple_part_vs-thumb-250x187-694.jpg\" width=\"250\" height=\"187\" alt=\"mutiple_part_vs.jpg\" class=\"mt-image-none\" style=\"\" \/><\/a><\/span><br \/>\n\u3000\u6700\u5f8c\u306b\uff0cFMA\u6f14\u7b97\u306e\u73fe\u72b6\u306b\u3064\u3044\u3066\u306e\u5c0f\u6587\u3092\u63b2\u8f09\u3057\u3066\u304a\u304f\u3002\u2192<a href=\"http:\/\/na-inet.jp\/weblog\/archives\/001486.html\">[4\/4]\u3078\u3064\u3065\u304f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ Amazon ] ISBN 978-0-8176-4704-9, \\13666(2010\u5e744\u6708\u73fe\u5728) \u3000\u30fb\u30fb\u30fb\u5c31\u5bdd\u524d\u306e\u5bdd\u307c\u3051\u773c\u3067\u30a2\u30c3\u30d7\u3057\u305f\u524d\u66f8\u304d\u90e8\u5206\u3092\u4eca\u8aad\u307f\u8fd4\u3057\u3066\u3044\u305f\u3089\uff0c\u6c17\u306b\u306a\u308b\u7b87\u6240\u304c\u307c\u308d\u307c\u308d\u51fa\u3066\u304d\u305f\u3002\u306a\uff5e\u3093\u304b\u975e\u5e38\u306b &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/na-inet.jp\/weblog2\/2010\/05\/05\/34_j-mmuller_etal_handbook_of\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;[3\/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-1507","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\/1507","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=1507"}],"version-history":[{"count":0,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/posts\/1507\/revisions"}],"wp:attachment":[{"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/media?parent=1507"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/categories?post=1507"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/na-inet.jp\/weblog2\/wp-json\/wp\/v2\/tags?post=1507"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}