{"id":42,"date":"2024-09-10T07:28:47","date_gmt":"2024-09-09T23:28:47","guid":{"rendered":"http:\/\/chaixiangyu.cn\/?p=42"},"modified":"2024-09-11T21:40:07","modified_gmt":"2024-09-11T13:40:07","slug":"armadillo%ef%bc%9ac%e7%ba%bf%e6%80%a7%e4%bb%a3%e6%95%b0%e8%bf%90%e8%a1%8c%e5%ba%93%e7%9a%84%e7%89%88%e6%9c%ac%e6%9b%b4%e8%bf%ad%e5%8f%b2","status":"publish","type":"post","link":"https:\/\/chaixiangyu.cn\/?p=42","title":{"rendered":"Armadillo\uff1aC++\u7ebf\u6027\u4ee3\u6570\u8fd0\u884c\u5e93\u7684\u7248\u672c\u66f4\u8fed\u53f2"},"content":{"rendered":"\n<p>API \u6dfb\u52a0\u548c\u66f4\u6539\u7684\u5386\u53f2\u8bb0\u5f55<br>@[toc]<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">API \u7a33\u5b9a\u6027\u548c\u7248\u672c\u653f\u7b56\uff1a<\/h1>\n\n\n\n<p>\u72b0\u72f3\u7684\u6bcf\u4e2a\u7248\u672c\u90fd\u6709\u5176\u516c\u5171 API\uff08\u51fd\u6570\u3001\u7c7b\u3001\u5e38\u91cf\uff09\uff0c\u8fd9\u4e9b API \u5728\u7279\u5b9a\u4e8e\u8be5\u7248\u672c\u7684\u968f\u9644 API \u6587\u6863\u4e2d\u8fdb\u884c\u4e86\u63cf\u8ff0\u3002<\/p>\n\n\n\n<p>\u6bcf\u4e2a\u7248\u672c\u7684\u72b0\u72f3\u90fd\u6709\u5176\u5b8c\u6574\u7248\u672c\u6307\u5b9a\u4e3a A.B.C\uff0c\u5176\u4e2d A \u662f\u4e3b\u8981\u7248\u672c\u53f7\uff0cB \u662f\u6b21\u8981\u7248\u672c\u53f7\uff0cC \u662f\u8865\u4e01\u7ea7\u522b\u3002 \u7248\u672c\u89c4\u8303\u5177\u6709\u660e\u786e\u7684\u542b\u4e49\uff08\u7c7b\u4f3c\u4e8e\u8bed\u4e49\u7248\u672c\u63a7\u5236\uff09\uff0c\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n\n\n\n<p>\u5728\u4e3b\u8981\u7248\u672c\uff08\u4f8b\u5982 10\uff09\u4e2d\uff0c\u6bcf\u4e2a\u6b21\u8981\u7248\u672c\uff08\u4f8b\u5982 10.2\uff09\u90fd\u6709\u4e00\u4e2a\u516c\u5171 API\uff0c\u8be5 API \u5f3a\u70c8\u8981\u6c42\uff08\u5728\u6e90\u4ee3\u7801\u7ea7\u522b\uff09\u4e0e\u5148\u524d\u6b21\u8981\u7248\u672c\u7684\u516c\u5171 API \u5411\u540e\u517c\u5bb9\u3002 \u4f8b\u5982\uff0c\u4e3a V10.0 \u7f16\u5199\u7684\u7528\u6237\u4ee3\u7801\u5e94\u9002\u7528\u4e8e V10.1\u3001V10.2 \u7b49\u3002 \u4f46\u662f\uff0c\u540e\u7eed\u6b21\u8981\u7248\u672c\u53ef\u80fd\u6bd4\u4ee5\u524d\u7684\u6b21\u8981\u7248\u672c\u5177\u6709\u66f4\u591a\u529f\u80fd\uff08API \u6dfb\u52a0\u548c\u6269\u5c55\uff09\u3002 \u56e0\u6b64\uff0c\u4e13\u95e8\u4e3a\u7248\u672c 10.2 \u7f16\u5199\u7684\u7528\u6237\u4ee3\u7801\u53ef\u80fd\u4e0d\u9002\u7528\u4e8e 10.1\u3002<\/p>\n\n\n\n<p>\u8865\u4e01\u7ea7\u522b\u7684\u589e\u52a0\uff0c\u800c\u4e3b\u8981\u548c\u6b21\u8981\u7248\u672c\u88ab\u4fdd\u7559\uff0c\u8868\u660e\u5bf9\u4ee3\u7801\u548c\/\u6216\u6587\u6863\u7684\u4fee\u6539\uff0c\u65e8\u5728\u5728\u4e0d\u6539\u53d8\u516c\u5171 API \u7684\u60c5\u51b5\u4e0b\u4fee\u590d\u9519\u8bef\u3002<\/p>\n\n\n\n<p>\u6211\u4eec\u4e0d\u559c\u6b22\u5bf9\u73b0\u6709\u516c\u5171 API \u8fdb\u884c\u66f4\u6539\uff0c\u5e76\u4e14\u5f3a\u70c8\u5e0c\u671b\u4e0d\u8981\u7834\u574f\u4efb\u4f55\u7528\u6237\u8f6f\u4ef6\u3002 \u4f46\u662f\uff0c\u4e3a\u4e86\u5141\u8bb8\u6f14\u8fdb\uff0c\u516c\u5171 API \u53ef\u80fd\u4f1a\u5728\u5c06\u6765\u7684\u4e3b\u8981\u7248\u672c\u4e2d\u8fdb\u884c\u66f4\u6539\uff0c\u540c\u65f6\u5728\u5c3d\u53ef\u80fd\u591a\u7684\u60c5\u51b5\u4e0b\u4fdd\u6301\u5411\u540e\u517c\u5bb9 \uff08\u4f8b\u5982\uff0c\u4e3b\u8981\u7248\u672c 11 \u7684\u516c\u5171 API \u53ef\u80fd\u4e0e\u4e3b\u8981\u7248\u672c 10 \u7565\u6709\u4e0d\u540c\uff09\u3002<\/p>\n\n\n\n<p>\u6ce8\u610f\uff1a\u4e0a\u8ff0\u653f\u7b56\u4ec5\u9002\u7528\u4e8e\u6587\u6863\u4e2d\u63cf\u8ff0\u7684\u516c\u5171 API\u3002 \u72b0\u72f3\u4e2d\u4efb\u4f55\u672a\u5728\u516c\u5171 API \u6587\u6863\u4e2d\u660e\u786e\u63cf\u8ff0\u7684\u529f\u80fd\u90fd\u88ab\u89c6\u4e3a\u5185\u90e8\u5b9e\u73b0\u7ec6\u8282\uff0c \u5e76\u53ef\u80fd\u66f4\u6539\u6216\u5220\u9664\uff0c\u6055\u4e0d\u53e6\u884c\u901a\u77e5\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">\u6bcf\u4e2a\u7248\u672c\u7684\u6dfb\u52a0\u548c\u66f4\u6539\u5217\u8868\uff1a<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c12.8\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 pinv\uff08\uff09 \u548c rank\uff08\uff09 \u66f4\u5feb\u5730\u68c0\u6d4b\u5bf9\u79f0\u8868\u8fbe\u5f0f\n\u6269\u5c55 shift\uff08\uff09 \u6765\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6269\u5c55conv_to\uff0c\u53ef\u5728\u7a00\u758f\u77e9\u9635\u548c\u5bc6\u96c6\u77e9\u9635\u4e4b\u95f4\u8fdb\u884c\u66f4\u7075\u6d3b\u7684\u8f6c\u6362\n\u6dfb\u52a0\u4e86 cbrt\uff08\uff09\n\u4ee5 CSV \u683c\u5f0f\u4fdd\u5b58\u77e9\u9635\u65f6\uff0c\u6574\u6570\u7684\u66f4\u7d27\u51d1\u8868\u793a\u5f62\u5f0f<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c12.6\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c06\u5bc6\u96c6\u5411\u91cf\u4e58\u4ee5\u7a00\u758f\u77e9\u9635\u7684\u901f\u5ea6\u66f4\u5feb\uff08\u53cd\u4e4b\u4ea6\u7136\uff09\n\u66f4\u5feb\u7684 eigs_sym\uff08\uff09\uff0c eigs_gen\uff08\uff09\uff0c svds\uff08\uff09\n\u4f7f\u7528 OpenMP \u65f6\u66f4\u5feb\u7684 conv\uff08\uff09 \u548c conv2\uff08\uff09\n\u6dfb\u52a0\u4e86 diags\uff08\uff09 \u548c spdiags\uff08\uff09\uff0c\u7528\u4e8e\u4ece\u5411\u91cf\u96c6\u751f\u6210\u6ce2\u6bb5\u77e9\u9635<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c12.4\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 norm2est\uff08\uff09 \u7528\u4e8e\u67e5\u627e\u77e9\u9635 2 \u8303\u6570\uff08\u8c31\u8303\u6570\uff09\u7684\u5feb\u901f\u4f30\u8ba1\u503c\n\u6dfb\u52a0\u4e86 vecnorm\uff08\uff09 \u7528\u4e8e\u83b7\u53d6\u77e9\u9635\u4e2d\u6bcf\u4e00\u884c\u6216\u6bcf\u4e00\u5217\u7684\u5411\u91cf\u8303\u6570<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c12.2\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 fft\uff08\uff09 \u548c ifft\uff08\uff09 \u66f4\u6709\u6548\u5730\u4f7f\u7528 FFTW3\n\u7a00\u758f\u77e9\u9635\u7684\u5c31\u5730\u5143\u7d20\u4e58\u4ee5\u5bc6\u96c6\u77e9\u9635\u7684\u901f\u5ea6\u66f4\u5feb\n\u6dfb\u52a0\u4e86spsolve_factoriser\u7c7b\uff0c\u4ee5\u5141\u8bb8\u91cd\u7528\u7a00\u758f\u77e9\u9635\u5206\u89e3\u6765\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c12.0\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7\u53ef\u9009\u4f7f\u7528 FFTW3 \u5b9e\u73b0\u66f4\u5feb\u7684 fft\uff08\uff09 \u548c ifft\uff08\uff09\n\u66f4\u5feb\u7684 min\uff08\uff09 \u548c max\uff08\uff09\n\u66f4\u5feb\u7684 index_min\uff08\uff09 \u548c index_max\uff08\uff09\n\u6dfb\u52a0\u4e86 .col_as_mat\uff08\uff09 \u548c .row_as_mat\uff08\uff09\uff0c\u5b83\u4eec\u8fd4\u56de\u7acb\u65b9\u4f53\u5217\u548c\u7acb\u65b9\u4f53\u884c\u7684\u77e9\u9635\u8868\u793a\u5f62\u5f0f\n\u6dfb\u52a0\u4e86\u52a0\u8f7d CSV \u6587\u4ef6\u4ee5\u5c06\u7f3a\u5931\u503c\u89e3\u91ca\u4e3a NaN \u7684\u9009\u9879csv_opts::strict\n\u6dfb\u52a0\u4e86\u7a00\u758f\u77e9\u9635\u6279\u5904\u7406\u6784\u9020\u51fd\u6570\u7684 Form 4 \u9009\u9879check_for_zeros\ninv\uff08\uff09 \u548c inv_sympd\uff08\uff09 \u5e26\u6709\u9009\u9879\uff0c\u6216\u8005\u73b0\u5728\u4f7f\u7528\u7c7b\u4f3c\u4e8e pinv\uff08\uff09 \u7684\u7f29\u653e\u9608\u503cinv_opts::no_uglyinv_opts::allow_approx\nset_cout_stream()\u73b0\u5728\u662f\u65e0\u64cd\u4f5c;\u8bf7\u6539\u7528\u9009\u9879 ARMA_WARN_LEVEL\u3001ARMA_COUT_STREAM \u6216 ARMA_CERR_STREAMset_cerr_stream()<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c11.4\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5177\u6709\u5404\u79cd\u5f62\u5f0f\u7684\u5143\u7d20\u5e42\u8fd0\u7b97\u7684\u6269\u5c55 pow\uff08\uff09\n\u6dfb\u52a0\u4e86 find_nan\uff08\uff09 \u4ee5\u67e5\u627e NaN \u5143\u7d20\u7684\u7d22\u5f15\n\u901a\u8fc7 sum\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c11.2\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55\u4e86 randu\uff08\uff09 \u548c randn\uff08\uff09 \u4ee5\u5141\u8bb8\u6307\u5b9a\u5206\u5e03\u53c2\u6570\n\u5728 inv\uff08\uff09 \u548c inv_sympd\uff08\uff09 \u4e2d\u6dfb\u52a0\u4e86\u9009\u9879\uff0c\u4ee5\u7981\u6b62\u6761\u4ef6\u5dee\u77e9\u9635\u7684\u9006inv_opts::no_ugly\n\u901a\u8fc7 inv\uff08\uff09 \u548c inv_sympd\uff08\uff09 \u4e2d\u7684\u9009\u9879\u66f4\u6709\u6548\u5730\u5904\u7406\u79e9\u4e0d\u8db3\u77e9\u9635inv_opts::allow_approx\n\u901a\u8fc7 norm\uff08\uff09\u3001accu\uff08\uff09\u3001nonzeros\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u5b50\u77e9\u9635\u5217\u89c6\u56fe\n\u901a\u8fc7 cond\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5bf9\u79f0\u548c\u5bf9\u89d2\u77e9\u9635\n\u901a\u8fc7 solve\uff08\uff09 \u66f4\u597d\u5730\u68c0\u6d4b\u79e9\u7f3a\u9677\u77e9\u9635<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c11.0\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 inv\uff08\uff09 \u548c inv_sympd\uff08\uff09 \u7684\u53d8\u4f53\uff0c\u63d0\u4f9b rcond\uff08\u5012\u6570\u6761\u4ef6\u6570\uff09\n\u5728 inv\uff08\uff09 \u548c inv_sympd\uff08\uff09 \u4e2d\u6dfb\u52a0\u4e86\u9009\u9879\uff0c\u4ee5\u5141\u8bb8\u6761\u4ef6\u5dee\u77e9\u9635\u7684\u8fd1\u4f3c\u9006inv_opts::allow_approx\n\u901a\u8fc7 inv\uff08\uff09 \u548c inv_sympd\uff08\uff09 \u66f4\u4e25\u683c\u5730\u5904\u7406\u5947\u5f02\u77e9\u9635\n\u901a\u8fc7 inv_sympd\uff08\uff09 \u66f4\u4e25\u683c\u5730\u5904\u7406\u65e0\u75c7\u72b6\u77e9\u9635\n\u901a\u8fc7 pinv\uff08\uff09 \u66f4\u4e25\u683c\u5730\u5904\u7406\u975e\u6709\u9650\u77e9\u9635\n\u901a\u8fc7 solve\uff08\uff09 \u5bf9\u79e9\u7f3a\u9677\u77e9\u9635\u8fdb\u884c\u66f4\u7a33\u5065\u7684\u5904\u7406\n\u901a\u8fc7 rcond\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5bf9\u89d2\u77e9\u9635\n\u66f4\u6539\u4e86 eigs_sym\uff08\uff09 \u548c eigs_gen\uff08\uff09 \u4ee5\u4f7f\u7528\u66f4\u9ad8\u8d28\u91cf\u7684 RNG\n\u5982\u679c\u7ed9\u5b9a\u7684\u77e9\u9635\/\u5411\u91cf\u5177\u6709 NaN \u5143\u7d20\uff0cquantile\uff08\uff09 \u548c median\uff08\uff09 \u73b0\u5728\u5c06\u629b\u51fa\u5f02\u5e38<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c10.8\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 pinv\uff08\uff09 \u548c rank\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5bf9\u79f0\u77e9\u9635\n\u901a\u8fc7 inv_sympd\uff08\uff09\u3001pinv\uff08\uff09\u3001rank\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5bf9\u89d2\u77e9\u9635\n\u6269\u5c55\u7684 norm\uff08\uff09 \u6765\u5904\u7406\u6574\u6570\u5411\u91cf\u548c\u77e9\u9635\n\u6dfb\u52a0\u4e86 datum\uff1a\uff1atau \u4ee5\u66ff\u6362 2\u03c0<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c10.7\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u66f4\u5feb\u5730\u5904\u7406X.cols(first_col,last_col)\n\u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\u4e2d\u7684\u5143\u7d20 min\uff08\uff09 \u548c max\uff08\uff09\n\u6269\u5c55\u7684 solve\uff08\uff09\uff0c\u5e26\u6709\u5f3a\u5236\u4f7f\u7528\u8fd1\u4f3c\u6c42\u89e3\u5668\u7684\u9009\u9879solve_opts::force_approx<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c10.6\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55 chol\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u4f7f\u7528\u67a2\u8f74\u5206\u89e3\n\u6269\u5c55\u4e86\u5411\u91cf\u3001\u77e9\u9635\u548c\u7acb\u65b9\u4f53\u6784\u9020\u51fd\u6570\uff0c\u4ee5\u5141\u8bb8\u901a\u8fc7 \u8fdb\u884c\u5143\u7d20\u521d\u59cb\u5316\uff0c\u4f8b\u5982\u3002fill::value(scalar)mat X(4,5,fill::value(123))\n\u4f7f\u7528 OpenMP \u65f6\uff0c\u52a0\u8f7d CSV \u6587\u4ef6\u7684\u901f\u5ea6\u66f4\u5feb\n\u6dfb\u52a0\u4e86 csv_opts\uff1a\uff1asemicolon \u9009\u9879\uff0c\u5141\u8bb8\u4fdd\u5b58\/\u52a0\u8f7d\u5e26\u6709\u5206\u53f7 \uff08;) \u800c\u4e0d\u662f\u9017\u53f7 \uff08\uff0c\uff09 \u4f5c\u4e3a\u5206\u9694\u7b26\u7684 CSV \u6587\u4ef6<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c10.5\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 .clamp\uff08\uff09 \u6210\u5458\u51fd\u6570\n\u6269\u5c55\u4e86\u72ec\u7acb\u7684 clamp\uff08\uff09 \u51fd\u6570\u4ee5\u5904\u7406\u590d\u6742\u503c\n\u66f4\u9ad8\u6548\u5730\u4f7f\u7528 OpenMP\nVector\u3001Matrix \u548c Cube \u6784\u9020\u51fd\u6570\u73b0\u5728\u9ed8\u8ba4\u5c06\u5143\u7d20\u521d\u59cb\u5316\u4e3a\u96f6;\n\u5143\u7d20\u521d\u59cb\u5316\u53ef\u4ee5\u901a\u8fc7\u8bf4\u660e\u7b26\u7981\u7528\uff0c\u4f8b\u5982\u3002fill::nonemat X(4,5,fill::none)<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c10.4\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 log_det\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u4e09\u89d2\u77e9\u9635\n\u6dfb\u52a0\u4e86\u5bf9\u79f0\u6b63\u77e9\u9635\u7684\u5bf9\u6570\u884c\u5217\u5f0f log_det_sympd\uff08\uff09\n\u65b0\u589e\u914d\u7f6e\u9009\u9879\uff0c\u63a7\u5236\u53d1\u51fa\u8b66\u544a\u6d88\u606f\u7684\u7a0b\u5ea6ARMA_WARN_LEVEL\n\u51cf\u5c11\u4e86\u9ed8\u8ba4\u7684\u8b66\u544a\u4fe1\u606f\u7a0b\u5ea6\uff0c\u4f7f\u5206\u89e3\u5931\u8d25\u3001\u4fdd\u5b58\/\u52a0\u8f7d\u5931\u8d25\u7b49\u4e0d\u518d\u53d1\u51fa\u8b66\u544a<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c10.3\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 pinv\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5bf9\u79f0\u6b63\u5b9a\u77e9\u9635\n\u6269\u5c55\u4e86 .save\uff08\uff09 \/ .load\uff08\uff09 \u4ee5\u5904\u7406coord_ascii\u683c\u5f0f\u7684\u5bc6\u96c6\u77e9\u9635\n\u5bf9\u4e8e\u8d8a\u754c\u8bbf\u95ee\uff0c\u5143\u7d20\u8bbf\u95ee\u5668\u73b0\u5728\u4f1a\u629b\u51fa\u66f4\u7ec6\u5fae\u7684 std\uff1a\uff1aout_of_range \u5f02\u5e38\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f std\uff1a\uff1alogic_error\n\u63d0\u9ad8\u968f\u673a\u6570\u7684\u8d28\u91cf<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c10.2\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u66f4\u5feb\u5730\u5904\u7406\u5b50\u7acb\u65b9\u4f53\n\u6dfb\u52a0\u4e86 tgamma\uff08\uff09\n\u6dfb\u52a0\u4e86.brief_print\uff08\uff09\u7528\u4e8e\u77e9\u9635\u548c\u7acb\u65b9\u4f53\u7684\u5220\u8282\u6253\u5370\n\u6269\u5c55\u4e86 trimatu\uff08\uff09 \u548c trimatl\uff08\uff09 \u7684\u7a00\u758f\u77e9\u9635\u5f62\u5f0f\uff0c\u4ee5\u5141\u8bb8\u6307\u5b9a\u5bf9\u89d2\u7ebf\u5206\u9694\u7b26\n\u6269\u5c55\u7684 eigs_sym\uff08\uff09 \u548c eigs_gen\uff08\uff09\uff0c\u5177\u6709\u53ef\u9009\u7684 shift-invert \u6a21\u5f0f<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c10.1\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>C++11 \u73b0\u5728\u662f\u6700\u4f4e\u8981\u6c42\u7684 C++ \u6807\u51c6\n\u901a\u8fc7 trimatu\uff08\uff09 \u548c trimatl\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\n\u66f4\u5feb\u7684\u7a00\u758f\u77e9\u9635\u52a0\u6cd5\u3001\u51cf\u6cd5\u548c\u5143\u7d20\u4e58\u6cd5\n\u6269\u5c55\u7a00\u758f\u5b50\u77e9\u9635\u89c6\u56fe\u4ee5\u5904\u7406 X.cols\uff08vector_of_column_indices\uff09 \u7684\u975e\u8fde\u7eed\u5f62\u5f0f\n\u6269\u5c55\u7684 eigs_sym\uff08\uff09 \u548c eigs_gen\uff08\uff09\uff0c\u5177\u6709\u53ef\u9009\u7684\u7ec6\u7c92\u5ea6\u53c2\u6570<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c9.900\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5bf9\u672a\u786e\u5b9a\/\u8fc7\u5ea6\u786e\u5b9a\u7684\u7cfb\u7edf\u8fdb\u884c\u66f4\u5feb\u7684\u6c42\u89e3\uff08\uff09\n\u66f4\u5feb\u7684 eig_gen\uff08\uff09 \u548c eig_pair\uff08\uff09 \u9002\u7528\u4e8e\u5927\u578b\u77e9\u9635\n\u901a\u8fc7 diagvec\uff08\uff09 \u548c diagmat\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u77e9\u9635\u4e58\u6cd5\u8868\u8fbe\u5f0f\n\u901a\u8fc7 accu\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5173\u7cfb\u8868\u8fbe\u5f0f\n\u901a\u8fc7 expmat\uff08\uff09\u3001logmat\uff08\uff09\u3001sqrtmat\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u75c7\u72b6\u77e9\u9635\n\u66f4\u5feb\u5730\u8bbf\u95ee\u7a00\u758f\u5b50\u77e9\u9635\u89c6\u56fe\u4e2d\u7684\u5217\n\u6dfb\u52a0\u4e86 quantile\uff08\uff09\n\u6dfb\u52a0\u4e86 powmat\uff08\uff09\n\u6dfb\u52a0\u4e86 trimatu_ind\uff08\uff09 \u548c trimatl_ind\uff08\uff09\n\u65b0\u589elog_normpdf\uff08\uff09\n\u65b0\u589e.is_zero\uff08\uff09\n\u6dfb\u52a0\u4e86\u7981\u7528 std\uff1a\uff1amutex \u7684\u914d\u7f6e\u9009\u9879ARMA_DONT_USE_CXX11_MUTEX\n\u6269\u5c55\u4e86 eig_gen\uff08\uff09 \u548c eig_pair\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u63d0\u4f9b\u5de6\u53f3\u7279\u5f81\u5411\u91cf\n\u6269\u5c55\u4e86 qr\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u4f7f\u7528\u900f\u89c6\u5206\u89e3\n\u6269\u5c55\u4e86 .save\uff08\uff09 \u548c .load\uff08\uff09 \u4ee5\u901a\u8fc7 csv_name\uff08filename\uff0cheader\uff09 \u89c4\u8303\u5904\u7406\u5e26\u6709\u6807\u5934\u7684 CSV \u6587\u4ef6\n\u66f4\u4e00\u81f4\u5730\u68c0\u6d4b\u7a00\u758f\u5411\u91cf\u8868\u8fbe\u5f0f\n\u5c06\u7269\u7406\u5e38\u91cf\u66f4\u65b0\u4e3a NIST 2018 CODATA \u503c\nHDF5 v1.12 \u4fdd\u5b58\/\u52a0\u8f7d\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6cd5<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c9.800\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9ed8\u8ba4\u64cd\u4f5c\u4e2d\u66f4\u5feb\u7684 solve\uff08\uff09;\u9ed8\u8ba4\u60c5\u51b5\u4e0b\u4e0d\u518d\u5e94\u7528\u8fed\u4ee3\u4f18\u5316;\u7528\u4e8e\u663e\u5f0f\u542f\u7528\u4f18\u5316solve_opts::refine\n\u66f4\u5feb\u7684 expmat\uff08\uff09\n\u901a\u8fc7 rcond\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u4e09\u89d2\u77e9\u9635\n\u6dfb\u52a0\u4e86 .front\uff08\uff09 \u548c .back\uff08\uff09\n\u6dfb\u52a0\u4e86 .is_trimatu\uff08\uff09 \u548c .is_trimatl\uff08\uff09\n\u65b0\u589e.is_diagmat\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c9.700\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 vectorise\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u7acb\u65b9\u4f53\n\u901a\u8fc7 nonzeros\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u66f4\u5feb\u7684\u884cindex_min\uff08\uff09 \u548c index_max\uff08\uff09\n\u6269\u5c55\u4e86 join_rows\uff08\uff09 \u548c join_cols\uff08\uff09 \u4ee5\u5904\u7406\u6700\u591a 4 \u4e2a\u77e9\u9635\u7684\u8fde\u63a5\n\u6269\u5c55\u4e86 .save\uff08\uff09 \u548c .load\uff08\uff09\uff0c\u4ee5\u5141\u8bb8\u4ee5 CSV \u683c\u5f0f\u5b58\u50a8\u7a00\u758f\u77e9\u9635\n\u6dfb\u52a0\u4e86 randperm\uff08\uff09 \u4ee5\u751f\u6210\u4e00\u4e2a\u6574\u6570\u5e8f\u5217\u968f\u673a\u6392\u5217\u7684\u5411\u91cf<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c 9.600\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u5b50\u77e9\u9635\n\u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u5bf9\u89d2\u7ebf\u89c6\u56fe\n\u901a\u8fc7 symmatu\uff08\uff09 \u548c symmatl\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u901a\u8fc7 join_cols\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6269\u5c55 clamp\uff08\uff09 \u4ee5\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6dfb\u52a0\u4e86 .clean\uff08\uff09 \u4ee5\u5c06\u4f4e\u4e8e\u9608\u503c\u7684\u5143\u7d20\u66ff\u6362\u4e3a\u96f6<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c9.500\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55\u7684 solve\uff08\uff09 with \u8868\u793a\u7ed9\u5b9a\u7684\u77e9\u9635\u53ef\u80fd\u662f\u6b63\u5b9a\u7684solve_opts::likely_sympd\n\u901a\u8fc7 solve\uff08\uff09 \u548c inv\uff08\uff09 \u5bf9\u6b63\u5b9a\u77e9\u9635\u8fdb\u884c\u66f4\u7a33\u5065\u7684\u81ea\u52a8\u68c0\u6d4b\n\u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u5b50\u77e9\u9635\n\u5c55\u5f00 eigs_sym\uff08\uff09 \u4ee5\u5728\u7ed9\u5b9a\u77e9\u9635\u4e0d\u5bf9\u79f0\u65f6\u6253\u5370\u8b66\u544a\n\u6269\u5c55\u4e86 LAPACK \u51fd\u6570\u539f\u578b\uff0c\u4ee5\u9075\u5faa Fortran \u4f20\u9012\u7ea6\u5b9a\u7684\u6240\u8c13\u201c\u9690\u85cf\u53c2\u6570\u201d\uff0c \u4e3a\u4e86\u89e3\u51b3 GCC \u9519\u8bef 90329;\n\u4f7f\u7528\u4ee5\u524d\u7684 LAPACK \u51fd\u6570\u539f\u578b\uff0c\u800c\u4e0d\u5e26\u201c\u9690\u85cf\u53c2\u6570\u201d\uff0c\u4e4b\u524d#define ARMA_DONT_USE_FORTRAN_HIDDEN_ARGS#include &lt;armadillo&gt;<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c9.400\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u66f4\u5feb\u7684 cov\uff08\uff09 \u548c cor\uff08\uff09\n\u6dfb\u52a0\u4e86 .as_col\uff08\uff09 \u548c .as_row\uff08\uff09\n\u5c55\u5f00 .shed_rows\uff08\uff09 \/ .shed_cols\uff08\uff09 \/ .shed_slices\uff08\uff09 \u4ee5\u5220\u9664\u5411\u91cf\u4e2d\u6307\u5b9a\u7684\u884c\/\u5217\/\u5207\u7247\n\u6269\u5c55 vectorise\uff08\uff09 \u4ee5\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6269\u5c55\u4e86 max\uff08\uff09 \u548c min\uff08\uff09 \u7684\u5143\u7d20\u7248\u672c\u4ee5\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u4f18\u5316\u4e86\u7a00\u758f\u77e9\u9635\u8868\u8fbe\u5f0f\u7684\u5904\u7406\uff1a\u7a00\u758f %\uff08\u7a00\u758f +- \u6807\u91cf\uff09\u548c\u7a00\u758f \/\uff08\u7a00\u758f +- \u6807\u91cf\uff09\n\u5c55\u5f00 eig_sym\uff08\uff09\u3001chol\uff08\uff09\u3001expmat_sym\uff08\uff09\u3001logmat_sympd\uff08\uff09\u3001sqrtmat_sympd\uff08\uff09\u3001inv_sympd\uff08\uff09 \u4ee5\u5728\u7ed9\u5b9a\u77e9\u9635\u4e0d\u5bf9\u79f0\u65f6\u6253\u5370\u8b66\u544a\n\u66f4\u4e00\u81f4\u5730\u68c0\u6d4b\u8f7d\u4f53\u8868\u8fbe<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c 9.300\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 trace\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u590d\u77e9\u9635\u8868\u8fbe\u5f0f\n\u66f4\u9ad8\u6548\u5730\u5904\u7406\u7a00\u758f\u77e9\u9635\u4e2d\u5c31\u5730\u4fee\u6539\u7684\u5143\u7d20\u8bbf\u95ee\n\u6dfb\u52a0\u4e86 .is_sympd\uff08\uff09 \u6765\u68c0\u67e5\u77e9\u9635\u662f\u5426\u5bf9\u79f0\/\u5384\u7c73\u7279\u6b63\u5b9a\n\u6dfb\u52a0\u4e86\u7528\u4e8e 2D \u6570\u636e\u63d2\u503c\u7684 interp2\uff08\uff09\n\u6dfb\u52a0\u4e86 expm1\uff08\uff09 \u548c log1p\uff08\uff09\n.is_sorted\u5e26\u6709\u9009\u9879\u548c\"strictascend\"\"strictdescend\"\n\u6269\u5c55 eig_gen\uff08\uff09 \u4ee5\u9009\u62e9\u5728\u5206\u89e3\u4e4b\u524d\u6267\u884c\u5e73\u8861<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c 9.200\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 rcond\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5bf9\u79f0\u6b63\u5b9a\u77e9\u9635\n\u5bf9\u5927\u5c0f\u4e3a \u2265 512x512 \u7684\u77e9\u9635\u8fdb\u884c\u66f4\u5feb\u7684\u8f6c\u7f6e\n\u901a\u8fc7 accu\uff08\uff09\u3001diagmat\uff08\uff09\u3001trace\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u7a00\u758f\u77e9\u9635\u8868\u8fbe\u5f0f\n\u901a\u8fc7 join_rows\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6dfb\u52a0\u4e86 sinc\uff08\uff09\n\u6269\u5c55 sign\uff08\uff09 \u6765\u5904\u7406\u6807\u91cf\u53c2\u6570\n\u6269\u5c55\u8fd0\u7b97\u7b26 \uff08*\uff0c %\uff0c +\uff0c \u2212\uff09 \u4ee5\u5904\u7406\u5177\u6709\u4e0d\u540c\u5143\u7d20\u7c7b\u578b\u7684\u7a00\u758f\u77e9\u9635\uff08\u4f8b\u5982\uff0c\u590d\u6570\u77e9\u9635\u4e58\u4ee5\u5b9e\u6570\u77e9\u9635\uff09\n\u6269\u5c55 conv_to\uff08\uff09 \u4ee5\u5141\u8bb8\u5728\u5177\u6709\u4e0d\u540c\u5143\u7d20\u7c7b\u578b\u7684\u7a00\u758f\u77e9\u9635\u4e4b\u95f4\u8fdb\u884c\u8f6c\u6362\n\u6269\u5c55\u7684 solve\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u5141\u8bb8\u5c06\u7cfb\u7edf\u7684\u89e3\u51b3\u65b9\u6848\u4fdd\u6301\u5728\u5de5\u4f5c\u7cbe\u5ea6\u7684\u5355\u4e00\u6027<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c 9.100\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 solve\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5bf9\u79f0\/\u5384\u7c73\u7279\u6b63\u5b9a\u77e9\u9635\n\u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\u4e2d\u7684 inv_sympd\uff08\uff09\n\u65b0\u589e.is_symmetric\uff08\uff09\n\u65b0\u589e.is_hermitian\uff08\uff09\n\u6269\u5c55\u4e86 spsolve\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u5141\u8bb8\u5c06\u7cfb\u7edf\u7684\u89e3\u51b3\u65b9\u6848\u4fdd\u6301\u5728\u5de5\u4f5c\u7cbe\u5ea6\u7684\u5355\u4e00\u6027\nARMA_OPTIMISE_SOLVE_BAND\u548cARMA_OPTIMISE_SOLVE_SYMPD\u7684\u65b0\u914d\u7f6e\u9009\u9879\n\u66f4\u667a\u80fd\u5730\u4f7f\u7528\u7a00\u758f\u77e9\u9635\u4e2d\u7684\u5143\u7d20\u7f13\u5b58<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c 8.600\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 hess\uff08\uff09 \u7528\u4e8e Hessenberg \u5206\u89e3\n\u6dfb\u52a0\u4e86 .row\uff08\uff09\u3001.rows\uff08\uff09\u3001.col\uff08\uff09\u3001.cols\uff08\uff09 \u5230\u5b50\u7acb\u65b9\u4f53\u89c6\u56fe\n\u6269\u5c55\u4e86 .shed_rows\uff08\uff09 \u548c .shed_cols\uff08\uff09 \u4ee5\u5904\u7406\u591a\u7ef4\u6570\u636e\u96c6\n\u6269\u5c55\u4e86 .insert_rows\uff08\uff09 \u548c .insert_cols\uff08\uff09 \u4ee5\u5904\u7406\u591a\u7ef4\u6570\u636e\u96c6\n\u6269\u5c55\u7684\u5b50\u591a\u7ef4\u6570\u636e\u96c6\u89c6\u56fe\uff0c\u4ee5\u5141\u8bb8\u5bf9\u5207\u7247\u8fdb\u884c\u975e\u8fde\u7eed\u8bbf\u95ee\n\u6539\u8fdb\u4e86\u7a00\u758f\u77e9\u9635\u5143\u7d20\u8bbf\u95ee\u8fd0\u7b97\u7b26\u7684\u8c03\u4f18\n\u901a\u8fc7 solve\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u4e09\u5bf9\u89d2\u77e9\u9635\n\u4f7f\u7528 OpenMP \u65f6\uff0c\u5177\u6709\u4e0d\u540c\u5143\u7d20\u7c7b\u578b\u7684\u77e9\u9635\u7684\u4e58\u6cd5\u901f\u5ea6\u66f4\u5feb<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c8.500\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 kron\uff08\uff09 \u548c repmat\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u7a00\u758f\u77e9\u9635\u7684\u66f4\u5feb\u8f6c\u7f6e\n\u5728\u7a00\u758f\u77e9\u9635\u4e2d\u66f4\u5feb\u5730\u8bbf\u95ee\u5143\u7d20\n\u7a00\u758f\u77e9\u9635\u7684\u66f4\u5feb\u884c\u8fed\u4ee3\u5668\n\u901a\u8fc7 trace\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\n\u66f4\u6709\u6548\u5730\u5904\u7406\u5b50\u77e9\u9635\u89c6\u56fe\u4e2d\u7684\u952f\u9f7f\n\u6269\u5c55 normalise\uff08\uff09 \u4ee5\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6269\u5c55\u4e86 .transform\uff08\uff09 \u548c .for_each\uff08\uff09 \u6765\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6dfb\u52a0\u4e86 reverse\uff08\uff09 \u4ee5\u53cd\u8f6c\u5143\u7d20\u7684\u987a\u5e8f\n\u6dfb\u52a0\u4e86\u7528\u4e8e\u590d\u5236\u5143\u7d20\u7684 repelem\uff08\uff09\n\u6dfb\u52a0\u4e86 roots\uff08\uff09 \u4ee5\u67e5\u627e\u591a\u9879\u5f0f\u7684\u6839<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c8.400\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 repmat\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u66f4\u5feb\u5730\u52a0\u8f7d CSV \u6587\u4ef6\n\u6269\u5c55\u4e86 kron\uff08\uff09 \u6765\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6269\u5c55\u4e86 index_min\uff08\uff09 \u548c index_max\uff08\uff09 \u4ee5\u5904\u7406\u591a\u7ef4\u6570\u636e\u96c6\n\u6269\u5c55 randi\uff08\uff09\u3001randu\uff08\uff09\u3001randn\uff08\uff09\u3001randg\uff08\uff09 \u4ee5\u8f93\u51fa\u5355\u4e2a\u6807\u91cf\n\u6dfb\u52a0\u4e86\u5b50\u77e9\u9635\u548c\u5b50\u7acb\u65b9\u4f53\u8fed\u4ee3\u5668\n\u6dfb\u52a0\u4e86 normcdf\uff08\uff09\n\u6dfb\u52a0\u4e86 mvnrnd\uff08\uff09\n\u65b0\u589e chi2rnd\uff08\uff09\n\u6dfb\u52a0\u4e86 wishrnd\uff08\uff09 \u548c iwishrnd\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c8.300\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 solve\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5e26\u77e9\u9635\n\u901a\u8fc7 chol\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5e26\u77e9\u9635\n\u4f7f\u7528 OpenMP \u65f6\u66f4\u5feb\u7684 randg\uff08\uff09\n\u6dfb\u52a0\u4e86 normpdf\uff08\uff09\n\u6269\u5c55\u4e86 .save\uff08\uff09 \u4ee5\u5141\u8bb8\u5c06\u65b0\u6570\u636e\u96c6\u9644\u52a0\u5230\u73b0\u6709\u7684 HDF5 \u6587\u4ef6<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c8.200\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 intersect\uff08\uff09 \u7528\u4e8e\u67e5\u627e\u4e24\u4e2a\u5411\u91cf\/\u77e9\u9635\u4e2d\u7684\u516c\u5171\u5143\u7d20\n\u6269\u5c55 affmul\uff08\uff09 \u4ee5\u5904\u7406\u975e\u5e73\u65b9\u77e9\u9635<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c8.100\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7\u5143\u7d20\u8bbf\u95ee\u7b97\u5b50\u66f4\u5feb\u5730\u589e\u91cf\u6784\u5efa\u7a00\u758f\u77e9\u9635\n\u7a00\u758f\u77e9\u9635\u4e2d\u66f4\u5feb\u7684\u5bf9\u89d2\u7ebf\u89c6\u56fe\n\u6269\u5c55\u4e86 SpMat \u4ee5\u4ee5\u5750\u6807\u683c\u5f0f\u4fdd\u5b58\/\u52a0\u8f7d\u7a00\u758f\u77e9\u9635\n\u6269\u5c55\u4e86 .save\uff08\uff09\/.load\uff08\uff09 \u4ee5\u5141\u8bb8\u6307\u5b9a HDF5 \u6587\u4ef6\u4e2d\u7684\u6570\u636e\u96c6\n\u6dfb\u52a0\u4e86 affmul\uff08\uff09 \u4ee5\u7b80\u5316\u4eff\u5c04\u53d8\u6362\u7684\u5e94\u7528\n\u73b0\u5728\uff0c\u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u8b66\u544a\u548c\u9519\u8bef\u4f1a\u6253\u5370\u5230 std\uff1a\uff1acerr \u6d41\u4e2d\n\u6dfb\u52a0\u4e86 set_cerr_stream\uff08\uff09 \u548c get_cerr_stream\uff08\uff09 \u4ee5\u66ff\u6362 set_stream_err1\uff08\uff09\u3001set_stream_err2\uff08\uff09\u3001get_stream_err1\uff08\uff09\u3001get_stream_err2\uff08\uff09\n\u65b0\u7684\u914d\u7f6e\u9009\u9879ARMA_COUT_STREAM\u548cARMA_CERR_STREAM<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.960\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f7f\u7528 OpenMP \u65f6\u66f4\u5feb\u7684 randn\uff08\uff09\n\u66f4\u5feb\u7684\u7c7bgmm_diag\uff0c\u9002\u7528\u4e8e\u5177\u6709\u5bf9\u89d2\u534f\u65b9\u5dee\u77e9\u9635\u7684\u9ad8\u65af\u6df7\u5408\u6a21\u578b\n\u6dfb\u52a0\u4e86 .sum_log_p\uff08\uff09 \u5230 gmm_diag \u7c7b\n\u6dfb\u52a0\u4e86gmm_full\u7c7b\uff0c\u7528\u4e8e\u5177\u6709\u5168\u534f\u65b9\u5dee\u77e9\u9635\u7684\u9ad8\u65af\u6df7\u5408\u6a21\u578b\n\u6269\u5c55\u4e86 .each_slice\uff08\uff09 \u4ee5\u9009\u62e9\u4f7f\u7528 OpenMP \u8fdb\u884c\u591a\u7ebf\u7a0b\u6267\u884c<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.950\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55\u4e86 accu\uff08\uff09 \u548c sum\uff08\uff09\uff0c\u4ee5\u4f7f\u7528 OpenMP \u5904\u7406\u5177\u6709\u8ba1\u7b97\u6210\u672c\u9ad8\u6602\u7684\u5143\u7d20\u51fd\u6570\u7684\u8868\u8fbe\u5f0f\n\u6269\u5c55\u4e86 trimatu\uff08\uff09 \u548c trimatl\uff08\uff09 \u4ee5\u5141\u8bb8\u6307\u5b9a\u63cf\u7ed8\u4e09\u89d2\u5f62\u90e8\u5206\u8fb9\u754c\u7684\u5bf9\u89d2\u7ebf<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.900\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55\u7684 clamp\uff08\uff09 \u6765\u5904\u7406\u7acb\u65b9\u4f53\n\u8ba1\u7b97\u6210\u672c\u9ad8\u6602\u7684\u5143\u7d20\u51fd\u6570\uff08\u5982 exp\uff08\uff09\u3001log\uff08\uff09\u3001cos\uff08\uff09 \u7b49\uff09 \u73b0\u5728\u53ef\u4ee5\u901a\u8fc7 OpenMP \u81ea\u52a8\u52a0\u901f; \u8fd9\u9700\u8981\u652f\u6301 OpenMP 3.1+ \u7684 C++11\/C++14 \u7f16\u8bd1\u5668\n\u5bf9\u4e8e GCC \u548c clang \u7f16\u8bd1\u5668\uff0c\u8bf7\u4f7f\u7528\u4ee5\u4e0b\u9009\u9879\u6765\u542f\u7528 C++11 \u548c OpenMP\uff1a-std=c++11 -fopenmp\n\u6ce8\u610f\uff1a\u4f7f\u7528 GCC \u65f6\uff0c\u7ed3\u5408\u4f7f\u7528\u53ef\u80fd\u4f1a\u5bfc\u81f4\u6700\u8fd1\u5904\u7406\u5668\u7684\u901f\u5ea6\u4e0b\u964d-march=native-fopenmp<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.800\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c06\u8bb8\u53ef\u8bc1\u66f4\u6539\u4e3a\u5bbd\u677e\u7684 Apache \u8bb8\u53ef\u8bc1 2.0; \u6709\u5173\u8be6\u7ec6\u4fe1\u606f\uff0c\u8bf7\u53c2\u9605\u95ee\u9898\u9875\u9762<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.700\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 polyfit\uff08\uff09 \u548c polyval\uff08\uff09\n\u6dfb\u52a0\u4e86\u7b2c\u4e8c\u79cd\u5f62\u5f0f\u7684 log_det\uff08\uff09 \u4ee5\u76f4\u63a5\u5c06\u7ed3\u679c\u4f5c\u4e3a\u590d\u6570\u8fd4\u56de\n\u5728\u7edf\u8ba1\u51fd\u6570\u4e2d\u6dfb\u52a0\u4e86 range\uff08\uff09\n\u6269\u5c55\u4e86 trimatu\uff08\uff09\/trimatl\uff08\uff09 \u548c symmatu\uff08\uff09\/symmatl\uff08\uff09 \u6765\u5904\u7406\u7a00\u758f\u77e9\u9635<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.600\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u66f4\u51c6\u786e\u7684 eigs_sym\uff08\uff09 \u548c eigs_gen\uff08\uff09\n\u6269\u5c55 floor\uff08\uff09\u3001ceil\uff08\uff09\u3001round\uff08\uff09\u3001trunc\uff08\uff09\u3001sign\uff08\uff09 \u6765\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u65b0\u589e arg\uff08\uff09\u3001atan2\uff08\uff09\u3001hypot\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.500\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c55\u5f00 qz\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u6307\u5b9a Schur \u8868\u5355\u7684\u987a\u5e8f\n\u6269\u5c55 .each_slice\uff08\uff09 \u4ee5\u652f\u6301\u77e9\u9635\u4e58\u6cd5<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.400\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 expmat_sym\uff08\uff09\uff0c logmat_sympd\uff08\uff09\uff0c sqrtmat_sympd\uff08\uff09\n\u6dfb\u52a0\u4e86 .replace\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.300\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 index_min\uff08\uff09 \u548c index_max\uff08\uff09 \u72ec\u7acb\u51fd\u6570\n\u6269\u5c55 .subvec\uff08\uff09 \u4ee5\u63a5\u53d7 size\uff08\uff09 \u53c2\u6570\n\u901a\u8fc7 lu\uff08\uff09 \u5bf9\u975e\u5e73\u65b9\u77e9\u9635\u8fdb\u884c\u66f4\u7a33\u5065\u7684\u5904\u7406<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.200\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 .index_min\uff08\uff09 \u548c .index_max\uff08\uff09 \u6210\u5458\u51fd\u6570\n\u6269\u5c55\u4e86 ind2sub\uff08\uff09 \u6765\u5904\u7406\u7d22\u5f15\u7684\u5411\u91cf\n\u6269\u5c55\u4e86 sub2ind\uff08\uff09 \u6765\u5904\u7406\u4e0b\u6807\u77e9\u9635\n\u6269\u5c55\u4e86 expmat\uff08\uff09\u3001logmat\uff08\uff09 \u548c sqrtmat\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u8fd4\u56de\u6307\u793a\u6210\u529f\u7684\u5e03\u5c14\u503c\n\u901a\u8fc7 vectorise\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c7.100\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 erf\uff08\uff09\u3001erfc\uff08\uff09\u3001lgamma\uff08\uff09\n\u6dfb\u52a0\u4e86 .head_slices\uff08\uff09 \u548c .tail_slices\uff08\uff09 \u5230\u5b50\u591a\u7ef4\u6570\u636e\u96c6\u89c6\u56fe\nspsolve\uff08\uff09 \u73b0\u5728\u9700\u8981 SuperLU 5.2\neigs_sym\uff08\uff09\u3001eigs_gen\uff08\uff09 \u548c svds\uff08\uff09 \u73b0\u5728\u5bf9\u5b9e\u6570\uff08\u975e\u590d\u6742\uff09\u77e9\u9635\u4f7f\u7528\u5185\u7f6e\u7684 ARPACK \u91cd\u65b0\u5b9e\u73b0;\u4f9b \u7a3f \u4eba\uff1aYixuan Qiu<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c6.700\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u7528\u4e8e\u6570\u503c\u79ef\u5206\u7684 trapz\uff08\uff09\n\u6dfb\u52a0\u4e86\u7528\u4e8e\u8ba1\u7b97\u77e9\u9635\u5bf9\u6570\u7684 logmat\uff08\uff09\n\u6dfb\u52a0\u4e86 regspace\uff08\uff09 \u7528\u4e8e\u751f\u6210\u5177\u6709\u89c4\u5219\u95f4\u9694\u5143\u7d20\u7684\u5411\u91cf\n\u6dfb\u52a0\u4e86 logspace\uff08\uff09\uff0c\u7528\u4e8e\u751f\u6210\u5177\u6709\u5bf9\u6570\u95f4\u9694\u5143\u7d20\u7684\u5411\u91cf\n\u6dfb\u52a0\u4e86\u7528\u4e8e\u786e\u5b9a\u8fd1\u4f3c\u76f8\u7b49\u7684 approx_equal\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c6.600\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55 sum\uff08\uff09\u3001mean\uff08\uff09\u3001min\uff08\uff09\u3001max\uff08\uff09 \u6765\u5904\u7406\u7acb\u65b9\u4f53\n\u6269\u5c55\u4e86 Cube \u7c7b\u4ee5\u5904\u7406\u4efb\u610f\u5927\u5c0f\u7684\u7a7a\u7acb\u65b9\u4f53\uff08\u4f8b\u5982 0x5x2\uff09\n\u6dfb\u52a0\u4e86 shift\uff08\uff09 \u7528\u4e8e\u5143\u7d20\u7684\u5706\u5468\u79fb\u4f4d\n\u6dfb\u52a0\u4e86 sqrtmat\uff08\uff09 \u7528\u4e8e\u67e5\u627e\u77e9\u9635\u7684\u5e73\u65b9\u6839<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c6.500\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u7528\u4e8e 2D \u5377\u79ef\u7684 conv2\uff08\uff09\n\u6dfb\u52a0\u4e86\u7528\u4e8e\u5bf9\u6570\u636e\u8fdb\u884c\u805a\u7c7b\u7684\u72ec\u7acb kmeans\uff08\uff09 \u51fd\u6570\n\u6dfb\u52a0\u4e86 trunc\uff08\uff09\n\u6269\u5c55 conv\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u63d0\u4f9b\u4e2d\u5fc3\u5377\u79ef\n\u4f7f\u7528\u82f1\u7279\u5c14 MKL\u3001ATLAS \u6216 OpenBLAS \u65f6\uff0c\u901a\u8fc7 accu\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u4e58\u6cd5\u548c\u7d2f\u52a0<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c6.400\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55\u4e86 each_col\uff08\uff09\u3001each_row\uff08\uff09 \u548c each_slice\uff08\uff09 \u4ee5\u5904\u7406 C++11 Lambda \u51fd\u6570\n\u6dfb\u52a0\u4e86 ind2sub\uff08\uff09 \u548c sub2ind\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c 6.300\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55 solve\uff08\uff09 \u4ee5\u67e5\u627e\u79e9\u7f3a\u9677\u7cfb\u7edf\u7684\u8fd1\u4f3c\u89e3\n\u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\u4e2d\u7684\u975e\u8fde\u7eed\u5b50\u77e9\u9635\u89c6\u56fe\n\u6dfb\u52a0\u4e86 .for_each\uff08\uff09 \u5230 Mat\u3001Row\u3001Col\u3001Cube \u548c field \u7c7b\n\u6dfb\u52a0\u4e86 rcond\uff08\uff09 \u7528\u4e8e\u4f30\u8ba1\u5012\u6570\u6761\u4ef6\u6570<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c6.200\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55 diagmat\uff08\uff09 \u4ee5\u5904\u7406\u975e\u6b63\u65b9\u5f62\u77e9\u9635\u548c\u4efb\u610f\u5bf9\u89d2\u7ebf\n\u6269\u5c55\u7684 trace\uff08\uff09 \u6765\u5904\u7406\u975e\u5e73\u65b9\u77e9\u9635<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c6.100\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f7f\u7528\u82f1\u7279\u5c14 MKL\u3001ATLAS \u6216 OpenBLAS \u65f6\u66f4\u5feb\u7684 norm\uff08\uff09 \u548c normalise\uff08\uff09\n\u6dfb\u52a0\u4e86 Schur \u5206\u89e3\uff1aschur\uff08\uff09\n\u901a\u8fc7 hist\uff08\uff09 \u548c histc\uff08\uff09 \u66f4\u4e25\u683c\u5730\u5904\u7406\u77e9\u9635\u5bf9\u8c61\n\u7528\u4e8e\u4f7f\u7528 Mat\u3001Col\u3001Row \u548c Cube \u8f85\u52a9\u5185\u5b58\u7684\u9ad8\u7ea7\u6784\u9020\u51fd\u6570\u73b0\u5728\u5177\u6709\u9ed8\u8ba4\u503c strict = false\nCube \u7c7b\u73b0\u5728\u5ef6\u8fdf .slice\uff08\uff09 \u76f8\u5173\u7ed3\u6784\u7684\u5206\u914d\uff0c\u76f4\u5230\u9700\u8981\n\u6269\u5c55\u7684 join_slices\uff08\uff09 \u4ee5\u5904\u7406\u4f7f\u7528\u77e9\u9635\u8fde\u63a5\u591a\u7ef4\u6570\u636e\u96c6<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c5.600\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 .each_slice\uff08\uff09 \u7528\u4e8e\u5e94\u7528\u4e8e\u7acb\u65b9\u4f53\u7684\u6bcf\u4e2a\u5207\u7247\u7684\u77e9\u9635\u64cd\u4f5c\n\u6269\u5c55\u4e86 .each_col\uff08\uff09 \u548c .each_row\uff08\uff09 \u4ee5\u5904\u7406\u5f02\u5730\u64cd\u4f5c<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c5.500\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55\u7684\u5bf9\u8c61\u6784\u9020\u51fd\u6570\u548c\u751f\u6210\u5668\uff0c\u7528\u4e8e\u5904\u7406\u57fa\u4e8e size\uff08\uff09 \u7684\u7ef4\u5ea6\u89c4\u8303<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c5.400\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 find_unique\uff08\uff09 \u7528\u4e8e\u67e5\u627e\u552f\u4e00\u503c\u7684\u7d22\u5f15\n\u6dfb\u52a0\u4e86 diff\uff08\uff09 \u7528\u4e8e\u8ba1\u7b97\u8fde\u7eed\u5143\u7d20\u4e4b\u95f4\u7684\u5dee\u5f02\n\u6dfb\u52a0\u4e86 cumprod\uff08\uff09 \u7528\u4e8e\u8ba1\u7b97\u7d2f\u79ef\u4e58\u79ef\n\u6dfb\u52a0\u4e86 null\uff08\uff09 \u7528\u4e8e\u67e5\u627e\u7a7a\u7a7a\u95f4\u7684\u6b63\u4ea4\u57fa\n\u6269\u5c55\u4e86 interp1\uff08\uff09 \u4ee5\u5904\u7406\u91cd\u590d\u4f4d\u7f6e\n\u6269\u5c55 unique\uff08\uff09 \u6765\u5904\u7406\u590d\u6570\n\u66f4\u5feb\u7684 flipud\uff08\uff09\n\u66f4\u5feb\u7684\u884c\u5411 cumsum\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c5.300\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u5e7f\u4e49 Schur \u5206\u89e3\uff1aqz\uff08\uff09\n\u6dfb\u52a0\u4e86 .has_inf\uff08\uff09 \u548c .has_nan\uff08\uff09\n\u6269\u5c55\u4e86 interp1\uff08\uff09 \u4ee5\u5904\u7406\u57df\u5916\u4f4d\u7f6e\n\u4f7f\u7528 .set_imag\uff08\uff09 \u548c .set_real\uff08\uff09 \u6269\u5c55\u7684\u7a00\u758f\u77e9\u9635\u7c7b\n\u6269\u5c55\u4e86 imag\uff08\uff09\u3001real\uff08\uff09 \u548c conj\uff08\uff09 \u6765\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6269\u5c55\u4e86 diagmat\uff08\uff09\u3001reshape\uff08\uff09 \u548c resize\uff08\uff09 \u6765\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u66f4\u5feb\u7684\u7a00\u758f sum\uff08\uff09\n\u66f4\u5feb\u7684\u884c\u5411 sum\uff08\uff09\u3001mean\uff08\uff09\u3001min\uff08\uff09\u3001max\uff08\uff09\n\u5c06\u7269\u7406\u5e38\u91cf\u66f4\u65b0\u4e3a NIST 2014 CODATA \u503c<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c5.200\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 orth\uff08\uff09 \u7528\u4e8e\u67e5\u627e\u77e9\u9635\u8303\u56f4\u7a7a\u95f4\u7684\u6b63\u4ea4\u57fa\n\u7528\u4e8e\u5904\u7406\u5d4c\u5957\u521d\u59cb\u5316\u5668\u5217\u8868\u7684\u6269\u5c55\u5143\u7d20\u521d\u59cb\u5316 \uff08C++11\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c5.100\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u7528\u4e8e\u4e00\u7ef4\u63d2\u503c\u7684 interp1\uff08\uff09\n\u6dfb\u52a0\u4e86 .is_sorted\uff08\uff09 \u7528\u4e8e\u68c0\u67e5\u5411\u91cf\u6216\u77e9\u9635\u662f\u5426\u5177\u6709\u6392\u5e8f\u5143\u7d20\n\u5c06\u7269\u7406\u5e38\u91cf\u66f4\u65b0\u4e3a NIST 2010 CODATA \u503c<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c5.000\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 spsolve\uff08\uff09 \u7528\u4e8e\u6c42\u89e3\u7a00\u758f\u7ebf\u6027\u65b9\u7a0b\u7ec4\n\u6dfb\u52a0\u4e86 svds\uff08\uff09 \u7528\u4e8e\u7a00\u758f\u77e9\u9635\u7684\u5947\u5f02\u503c\u5206\u89e3\n\u6dfb\u52a0\u4e86 nonzeros\uff08\uff09 \u7528\u4e8e\u4ece\u77e9\u9635\u4e2d\u63d0\u53d6\u975e\u96f6\u503c\n\u6dfb\u52a0\u4e86\u5bf9\u7a00\u758f\u77e9\u9635\u5bf9\u5bf9\u89d2\u7ebf\u89c6\u56fe\u7684\u5904\u7406\n\u6269\u5c55 repmat\uff08\uff09 \u6765\u5904\u7406\u7a00\u758f\u77e9\u9635\n\u6269\u5c55\u4e86 join_rows\uff08\uff09 \u548c join_cols\uff08\uff09 \u4ee5\u5904\u7406\u7a00\u758f\u77e9\u9635\nsort_index\uff08\uff09 \u548c stable_sort_index\uff08\uff09 \u5df2\u653e\u5728\u5ef6\u8fdf\u64cd\u4f5c\u6846\u67b6\u4e2d\uff0c\u4ee5\u63d0\u9ad8\u6548\u7387\n\u4f7f\u7528 C++11 \u7f16\u8bd1\u5668\u65f6\uff0c\u4f1a\u81ea\u52a8\u542f\u7528 64 \u4f4d\u6574\u6570<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.650\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 randg\uff08\uff09 \u7528\u4e8e\u4ece gamma \u5206\u5e03\u751f\u6210\u968f\u673a\u503c\uff08\u4ec5\u9650 C++11\uff09\n\u5c06 .head_rows\uff08\uff09 \u548c .tail_rows\uff08\uff09 \u6dfb\u52a0\u5230\u5b50\u77e9\u9635\u89c6\u56fe\n\u6dfb\u52a0\u4e86 .head_cols\uff08\uff09 \u548c .tail_cols\uff08\uff09 \u5230\u5b50\u77e9\u9635\u89c6\u56fe\n\u6269\u5c55 eigs_sym\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u8ba1\u7b97\u5177\u6709\u6700\u5c0f\/\u6700\u5927\u4ee3\u6570\u503c\u7684\u7279\u5f81\u503c<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.600\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 .head\uff08\uff09 \u548c .tail\uff08\uff09 \u5230\u5b50\u77e9\u9635\u89c6\u56fe\n\u590d\u5408\u8868\u8fbe\u5f0f\u4e2d\u66f4\u5feb\u7684\u77e9\u9635\u8f6c\u7f6e\n\u66f4\u5feb\u7684\u5c31\u5730\u77e9\u9635\u4e58\u6cd5\n\u4f7f\u7528 -O3 -ffast-math -march=native\uff08gcc \u548c clang\uff09\u7f16\u8bd1\u65f6\u66f4\u5feb\u7684 accu\uff08\uff09 \u548c norm\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.550\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u65b0\u589e\u77e9\u9635\u6307\u6570\u51fd\u6570\uff1aexpmat\uff08\uff09\n\u5728\u542f\u7528 OpenMP \u7684\u60c5\u51b5\u4e0b\u8fdb\u884c\u7f16\u8bd1\u65f6\uff0cgmm_diag\u7c7b\u4e2d\u7684 .log_p\uff08\uff09 \u548c .avg_log_p\uff08\uff09 \u51fd\u6570\u66f4\u5feb\n\u66f4\u5feb\u5730\u5904\u7406\u4f7f\u7528\u5916\u90e8\u79ef\u7684\u8868\u8fbe\u5f0f\u7684\u5c31\u5730\u52a0\u6cd5\/\u51cf\u6cd5<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c 4.500\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 norm\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u590d\u6742\u5411\u91cf\n\u5c55\u5f00 chol\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u5c06\u8f93\u51fa\u77e9\u9635\u6307\u5b9a\u4e3a\u4e0a\u4e09\u89d2\u5f62\u6216\u4e0b\u4e09\u89d2\u5f62\n\u5c06\u77e9\u9635\u4fdd\u5b58\u4e3a\u6587\u672c\u6587\u4ef6\u65f6\uff0c\u53ef\u4ee5\u66f4\u597d\u5730\u5904\u7406\u975e\u6709\u9650\u503c<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.450\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\u4e2d\u7684\u57fa\u8d28\u8f6c\u7f6e\n\u6269\u5c55\u4e86 symmatu\uff08\uff09\/symmatl\uff08\uff09 \u4ee5\u9009\u62e9\u6027\u5730\u7981\u7528\u5143\u7d20\u7684\u590d\u5171\u8f6d\n\u6269\u5c55 sort_index\uff08\uff09 \u4ee5\u5904\u7406\u590d\u6742\u5411\u91cf\n\u4f7f\u7528\u751f\u6210\u968f\u673a\u6837\u672c\u7684\u51fd\u6570\u6269\u5c55\u4e86gmm_diag\u7c7b<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.400\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u901a\u8fc7 dot\uff08\uff09 \u66f4\u5feb\u5730\u5904\u7406\u5b50\u5411\u91cf\n\u901a\u8fc7\u5b50\u77e9\u9635\u89c6\u56fe\u66f4\u5feb\u5730\u5904\u7406\u6df7\u53e0\n\u6dfb\u52a0\u4e86 clamp\uff08\uff09 \u4ee5\u4f7f\u94b3\u4f4d\u503c\u4ecb\u4e8e\u4e0b\u9650\u548c\u4e0a\u9650\u4e4b\u95f4\n\u6dfb\u52a0\u4e86gmm_diag\u7c7b\uff0c\u7528\u4e8e\u4f7f\u7528\u9ad8\u65af\u6df7\u5408\u6a21\u578b\u5bf9\u6570\u636e\u8fdb\u884c\u7edf\u8ba1\u5efa\u6a21\n\u6269\u5c55\u4e86\u7a00\u758f\u77e9\u9635\u7684\u6279\u91cf\u63d2\u5165\u6784\u9020\u51fd\u6570\uff0c\u4ee5\u5728\u91cd\u590d\u4f4d\u7f6e\u6dfb\u52a0\u503c<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.320\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6269\u5c55\u4e86 eigs_sym\uff08\uff09 \u548c eigs_gen\uff08\uff09 \u4ee5\u4f7f\u7528\u53ef\u9009\u7684\u516c\u5dee\u53c2\u6570\n\u6269\u5c55 eig_sym\uff08\uff09 \u4ee5\u5728\u5206\u800c\u6cbb\u4e4b\u5931\u8d25\u65f6\u81ea\u52a8\u56de\u9000\u5230\u6807\u51c6\u5206\u89e3\u65b9\u6cd5\n\u57fa\u4e8e cmake \u7684\u5b89\u88c5\u7a0b\u5e8f\u5141\u8bb8\u5728 C++ \u6a21\u5f0f\u4e0b\u4f7f\u7528 gcc 4.8.3+ \u65f6\u4f7f\u7528 C++ 11 \u968f\u673a\u6570\u751f\u6210\u5668<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.300\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 find_finite\uff08\uff09 \u548c find_nonfinite\uff08\uff09\n\u8868\u8fbe\u5f0f X=inv\uff08A\uff09*B*C \u548c X=A.i\uff08\uff09*B*C \u4f1a\u81ea\u52a8\u8f6c\u6362\u4e3a X=solve\uff08A\uff0cB*C\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.200\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7a00\u758f\u77e9\u9635\u7684\u66f4\u5feb\u8f6c\u7f6e\n\u66f4\u6709\u6548\u5730\u5904\u7406\u77e9\u9635\u4e58\u6cd5\u8fc7\u7a0b\u4e2d\u7684\u6df7\u53e0\n\u6807\u8bb0\u4e3a\u5bf9\u89d2\u7ebf\u7684\u77e9\u9635\u7684\u8f83\u5feb\u53cd\u8f6c<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.100:<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 normalise\uff08\uff09 \u7528\u4e8e\u5c06\u5411\u91cf\u5f52\u4e00\u5316\u4e3a\u5355\u4f4d p \u8303\u6570\n\u6269\u5c55\u4e86\u5b57\u6bb5\u7c7b\u4ee5\u5904\u7406 3D \u5e03\u5c40\n\u6269\u5c55 eigs_sym\uff08\uff09 \u548c eigs_gen\uff08\uff09 \u4ee5\u83b7\u5f97\u5404\u79cd\u5f62\u5f0f\u7684\u7279\u5f81\u503c\uff08\u4f8b\u5982\u6700\u5927\u6216\u6700\u5c0f\u91cf\u7ea7\uff09\n\u4f7f\u7528 Clang 3.4+ \u548c -O3 \u4f18\u5316\u65f6\uff0c\u57fa\u672c\u8868\u8fbe\u5f0f\uff08\u4f8b\u5982\u77e9\u9635\u52a0\u6cd5\uff09\u7684\u81ea\u52a8 SIMD \u77e2\u91cf\u5316\n\u66f4\u5feb\u5730\u5904\u7406\u7a00\u758f\u5b50\u77e9\u9635\u89c6\u56fe<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c4.000\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u7a00\u758f\u77e9\u9635\u7684\u7279\u5f81\u5206\u89e3\uff1aeigs_sym\uff08\uff09 \u548c eigs_gen\uff08\uff09\n\u6dfb\u52a0\u4e86\u77e9\u9635\u5bf9\u7684\u7279\u5f81\u5206\u89e3\uff1aeig_pair\uff08\uff09\n\u6dfb\u52a0\u4e86\u66f4\u7b80\u5355\u7684 eig_gen\uff08\uff09 \u5f62\u5f0f\n\u6dfb\u52a0\u4e86\u77e9\u9635\u7684\u6761\u4ef6\u6570\uff1acond\uff08\uff09\n\u6269\u5c55 find\uff08\uff09 \u6765\u5904\u7406\u591a\u7ef4\u6570\u636e\u96c6\n\u5c55\u5f00\u7684\u5b50\u591a\u7ef4\u6570\u636e\u96c6\u89c6\u56fe\u4ee5\u8bbf\u95ee\u77e2\u91cf\u4e2d\u6307\u5b9a\u7684\u5143\u7d20\nrunning_stat_vec\u7684\u6a21\u677f\u53c2\u6570\u5df2\u6269\u5c55\u4e3a\u63a5\u53d7\u5411\u91cf\u7c7b\u578b\n\u66f4\u7a33\u5065\u7684 4x4 \u77e9\u9635\u5feb\u901f\u53cd\u6f14\n\u73b0\u5728\u9ed8\u8ba4\u5bf9 eig_sym\uff08\uff09\u3001pinv\uff08\uff09\u3001princomp\uff08\uff09\u3001rank\uff08\uff09\u3001svd\uff08\uff09\u3001svd_econ\uff08\uff09 \u4f7f\u7528\u66f4\u5feb\u7684\u5206\u800c\u6cbb\u4e4b\u5206\u89e3\n\u5f62\u5f0f inv\uff08sympd\uff08X\uff09\uff09 \u4e0d\u518d\u5047\u8bbe X \u662f\u6b63\u5b9a\u7684;\u8bf7\u6539\u7528 inv_sympd\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.930\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u57fa\u4e8e size\uff08\uff09 \u7684\u5b50\u77e9\u9635\u89c6\u56fe\u5927\u5c0f\u89c4\u8303\n\u6dfb\u52a0\u4e86 min\uff08\uff09 \u548c max\uff08\uff09 \u7684\u5143\u7d20\u53d8\u4f53\n\u6dfb\u52a0\u4e86 svd_econ\uff08\uff09 \u7684\u5206\u800c\u6cbb\u4e4b\u53d8\u4f53\n\u6dfb\u52a0\u4e86 pinv\uff08\uff09 \u7684\u5206\u800c\u6cbb\u4e4b\u53d8\u4f53\n\u6dfb\u52a0\u4e86 randi\uff08\uff09 \u4ee5\u751f\u6210\u5177\u6709\u968f\u673a\u6574\u6570\u503c\u7684\u77e9\u9635\n\u6dfb\u52a0\u4e86 inplace_trans\uff08\uff09 \u4ee5\u5b9e\u73b0\u5185\u5b58\u9ad8\u6548\u7684\u5c31\u5730\u8f6c\u7f6e\n\u5728 sort\uff08\uff09 \u548c sort_index\uff08\uff09 \u4e2d\u6dfb\u52a0\u4e86\u66f4\u76f4\u89c2\u7684\u6392\u5e8f\u65b9\u5411\u89c4\u8303\n\u5728 det\uff08\uff09\u3001.i\uff08\uff09\u3001inv\uff08\uff09 \u548c solve\uff08\uff09 \u4e2d\u6dfb\u52a0\u4e86\u66f4\u76f4\u89c2\u7684\u65b9\u6cd5\u89c4\u8303\n\u4f7f\u7528 C++11 \u65f6\u4e3a wall_clock \u7c7b\u63d0\u4f9b\u66f4\u7cbe\u786e\u7684\u8ba1\u65f6\u5668<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.920\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u66f4\u5feb\u7684 .zeros\uff08\uff09\n\u4f7f\u7528 C++11 \u65f6\u66f4\u5feb\u7684 round\uff08\uff09\u3001exp2\uff08\uff09 \u548c log2\uff08\uff09\n\u6dfb\u52a0\u4e86 signum \u51fd\u6570\uff1asign\uff08\uff09\n\u6dfb\u52a0\u4e86\u4f7f\u7528 C++ \u65f6\u7684\u79fb\u52a8\u6784\u9020\u51fd\u6570 11\n\u6dfb\u52a0\u4e86 2D \u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff1afft2\uff08\uff09\n\u6dfb\u52a0\u4e86 .tube\uff08\uff09\uff0c\u4ee5\u4fbf\u66f4\u8f7b\u677e\u5730\u4ece\u7acb\u65b9\u4f53\u4e2d\u63d0\u53d6\u5411\u91cf\u548c\u5b50\u7acb\u65b9\u4f53\n\u5728\u6784\u9020 Mat\u3001Col\u3001Row \u548c Cube \u7c7b\u671f\u95f4\u6dfb\u52a0\u4e86\u586b\u5145\u7c7b\u578b\u7684\u89c4\u8303\uff0c \u4f8b\u5982\u3002\u57ab X\uff084\uff0c 5\uff0c \u586b\u5145\uff1a\uff1a\u96f6\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.910\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u77e9\u9635\u4e0e\u81ea\u8eab\u7684\u8f6c\u7f6e\u7684\u66f4\u5feb\u4e58\u6cd5\uff0c\u5373\u3002X*X.t\uff08\uff09 \u548c X.t\uff08\uff09*X\n\u6dfb\u52a0\u4e86 vectorise\uff08\uff09 \u7528\u4e8e\u5c06\u77e9\u9635\u91cd\u5851\u4e3a\u5411\u91cf\n\u6dfb\u52a0\u4e86 all\uff08\uff09 \u548c any\uff08\uff09\uff0c\u7528\u4e8e\u6307\u793a\u5b58\u5728\u6ee1\u8db3\u5173\u7cfb\u6761\u4ef6\u7684\u5143\u7d20<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.900\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5728\u4f7f\u7528 GCC 4.7+ \u548c -O3 \u4f18\u5316\u65f6\uff0c\u6dfb\u52a0\u4e86\u57fa\u672c\u8868\u8fbe\u5f0f\u7684\u81ea\u52a8 SSE2 \u5411\u91cf\u5316\uff08\u4f8b\u5982\u77e9\u9635\u52a0\u6cd5\uff09\n\u66f4\u5feb\u7684\u4e2d\u4f4d\u6570\uff08\uff09\n\u901a\u8fc7\u5b50\u77e9\u9635\u884c\u7684\u8f6c\u7f6e\u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\n\u901a\u8fc7\u590d\u6742\u5411\u91cf\u7684\u8f6c\u7f6e\u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\n\u6dfb\u52a0\u4e86\u5bf9\u4ee5 HDF5 \u683c\u5f0f\u4fdd\u5b58\u548c\u52a0\u8f7d\u7acb\u65b9\u4f53\u7684\u652f\u6301<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.820\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u590d\u5408\u8868\u8fbe\u5f0f\u66f4\u5feb\u7684 as_scalar\uff08\uff09\n\u5c0f\u5411\u91cf\u7684\u5feb\u901f\u8f6c\u7f6e\n\u9002\u7528\u4e8e\u5c0f\u5411\u91cf\u7684\u66f4\u5feb\u77e9\u9635\u5411\u91cf\u4e58\u79ef\n\u5c0f\u56fa\u5b9a\u5927\u5c0f\u77e9\u9635\u7684\u4e58\u6cd5\u901f\u5ea6\u66f4\u5feb<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.810\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff1afft\uff08\uff09\n\u6dfb\u52a0\u4e86\u901a\u8fc7\u5b50\u77e9\u9635\u548c\u5b50\u7acb\u65b9\u4f53\u5bf9 .imbue\uff08\uff09 \u548c .transform\uff08\uff09 \u7684\u5904\u7406\n\u6dfb\u52a0\u4e86\u7a00\u758f\u77e9\u9635\u7684\u6279\u5904\u7406\u63d2\u5165\u6784\u9020\u51fd\u6570<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.800\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 .imbue\uff08\uff09\uff0c\u7528\u4e8e\u4f7f\u7528\u51fd\u5b50\u6216 lambda \u8868\u8fbe\u5f0f\u63d0\u4f9b\u7684\u503c\u586b\u5145\u77e9\u9635\/\u7acb\u65b9\u4f53\n\u6dfb\u52a0\u4e86 .swap\uff08\uff09 \u7528\u4e8e\u4e0e\u53e6\u4e00\u4e2a\u77e9\u9635\u4ea4\u6362\u5185\u5bb9\n\u6dfb\u52a0\u4e86 .transform\uff08\uff09\uff0c\u7528\u4e8e\u4f7f\u7528\u51fd\u5b50\u6216 lambda \u8868\u8fbe\u5f0f\u8f6c\u6362\u77e9\u9635\/\u7acb\u65b9\u4f53\n\u6dfb\u52a0\u4e86 round\uff08\uff09 \u4ee5\u5c06\u77e9\u9635\u5143\u7d20\u820d\u5165\u5230\u6700\u63a5\u8fd1\u7684\u6574\u6570\n\u66f4\u5feb\u7684 find\uff08\uff09\n\u5c06\u8bb8\u53ef\u8bc1\u66f4\u6539\u4e3a Mozilla \u516c\u5171\u8bb8\u53ef\u8bc1 2.0<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.6\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f7f\u7528\u5b50\u77e9\u9635\u548c\u5b50\u7acb\u65b9\u4f53\u66f4\u5feb\u5730\u5904\u7406\u590d\u5408\u8868\u8fbe\u5f0f\n\u66f4\u5feb\u7684 trace\uff08\uff09\n\u6dfb\u52a0\u4e86\u5bf9\u5c06\u77e9\u9635\u52a0\u8f7d\u4e3a\u5177\u6709 NaN \u548c Inf \u5143\u7d20\u7684\u6587\u672c\u6587\u4ef6\u7684\u652f\u6301\n\u6dfb\u52a0\u4e86 stable_sort_index\uff08\uff09\uff0c\u5b83\u4fdd\u7559\u4e86\u5177\u6709\u7b49\u6548\u503c\u7684\u5143\u7d20\u7684\u76f8\u5bf9\u987a\u5e8f\n\u6dfb\u52a0\u4e86\u5bf9\u7a00\u758f\u77e9\u9635\u7684\u5904\u7406 mean\uff08\uff09\uff0c var\uff08\uff09\uff0c norm\uff08\uff09\uff0c abs\uff08\uff09\uff0c square\uff08\uff09\uff0c sqrt\uff08\uff09\n\u6dfb\u52a0\u4e86arma_binary\u683c\u5f0f\u7684\u7a00\u758f\u77e9\u9635\u7684\u4fdd\u5b58\u548c\u52a0\u8f7d<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.4\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u7ecf\u6d4e\u7684QR\u5206\u89e3\uff1aqr_econ\uff08\uff09\n\u6dfb\u52a0\u4e86 .each_col\uff08\uff09 \u548c .each_row\uff08\uff09 \u7528\u4e8e\u5e94\u7528\u4e8e\u77e9\u9635\u6bcf\u5217\u6216\u6bcf\u884c\u7684\u5411\u91cf\u8fd0\u7b97\n\u6dfb\u52a0\u4e86\u5bf9\u7a00\u758f\u77e9\u9635\u7684\u521d\u6b65\u652f\u6301\n\u6dfb\u52a0\u4e86\u4ee5 HDF5 \u683c\u5f0f\u4fdd\u5b58\u548c\u52a0\u8f7d\u77e9\u9635\u7684\u529f\u80fd\n\u901a\u8fc7\u53ef\u9009\u4f7f\u7528\u5206\u800c\u6cbb\u4e4b\u7b97\u6cd5\u66f4\u5feb\u5730\u5206\u89e3\u5947\u5f02\u503c\n\u66f4\u5feb\u7684 .randn\uff08\uff09\n\u590d\u6570\u7684 dot\uff08\uff09 \u548c cdot\uff08\uff09 \u901f\u5ea6\u66f4\u5feb<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.2\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 unique\uff08\uff09\uff0c\u7528\u4e8e\u67e5\u627e\u77e9\u9635\u7684\u552f\u4e00\u5143\u7d20\n\u6dfb\u52a0\u4e86 .eval\uff08\uff09\uff0c\u7528\u4e8e\u5f3a\u5236\u8ba1\u7b97\u5ef6\u8fdf\u8868\u8fbe\u5f0f\n\u901a\u8fc7\u53ef\u9009\u4f7f\u7528\u5206\u800c\u6cbb\u4e4b\u7b97\u6cd5\u66f4\u5feb\u5730\u5206\u89e3\u7279\u5f81\n\u66f4\u5feb\u5730\u8f6c\u7f6e\u5411\u91cf\u548c\u590d\u5408\u8868\u8fbe\u5f0f\n\u66f4\u5feb\u5730\u5904\u7406\u5bf9\u89d2\u7ebf\u89c6\u56fe\n\u66f4\u5feb\u5730\u5904\u7406\u5fae\u5c0f\u7684\u56fa\u5b9a\u5927\u5c0f\u5411\u91cf\uff08\u2264 4 \u4e2a\u5143\u7d20\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c3.0\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u53cd\u8f6c\u7684\u7b80\u5199\uff1a.i\uff08\uff09\n\u6dfb\u52a0\u4e86\u57fa\u51c6\u7c7b\n\u6dfb\u52a0\u4e86 hist\uff08\uff09 \u548c histc\uff08\uff09\n\u6dfb\u52a0\u4e86\u975e\u8fde\u7eed\u5b50\u77e9\u9635\u89c6\u56fe\n\u4f7f\u7528\u5355\u884c\u6216\u5355\u5217\u66f4\u5feb\u5730\u5904\u7406\u5b50\u77e9\u9635\u89c6\u56fe\n\u5728\u56fa\u5b9a\u5927\u5c0f\u7684\u77e9\u9635\u4e2d\u66f4\u5feb\u5730\u8bbf\u95ee\u5143\u7d20\n\u66f4\u5feb\u7684 repmat\uff08\uff09\n\u8868\u8fbe\u5f0f X=inv\uff08A\uff09*B \u548c X=A.i\uff08\uff09*B \u4f1a\u81ea\u52a8\u8f6c\u6362\u4e3a X=solve\uff08A\uff0cB\uff09\n\u901a\u8fc7 sum\uff08\uff09\u3001cumsum\uff08\uff09\u3001prod\uff08\uff09\u3001min\uff08\uff09\u3001max\uff08\uff09\u3001mean\uff08\uff09\u3001median\uff08\uff09\u3001stddev\uff08\uff09\u3001var\uff08\uff09 \u66f4\u597d\u5730\u68c0\u6d4b\u5411\u91cf\u8868\u8fbe\u5f0f\n\u66f4\u5feb\u5730\u751f\u6210\u968f\u673a\u6570 \uff08\u4f8b\u5982\u3002randu\uff08\uff09 \u548c randn\uff08\uff09\uff09\uff0c \u901a\u8fc7\u4ea7\u751f\u4e0e 2.x \u4e2d\u7565\u6709\u4e0d\u540c\u7684\u6570\u5b57\u7684\u7b97\u6cd5\n\u5220\u9664\u4e86\u5c06\u53ef\u5199\u8f85\u52a9\uff08\u5916\u90e8\uff09\u5b58\u50a8\u5668\u7ed1\u5b9a\u5230\u56fa\u5b9a\u5927\u5c0f\u77e9\u9635\u7684\u652f\u6301; \u76f8\u53cd\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528\u5177\u6709\u53ef\u5199\u8f85\u52a9\u5b58\u50a8\u5668\u7684\u6807\u51c6\u77e9\u9635\uff0c \u6216\u901a\u8fc7\u590d\u5236\u5185\u5b58\u6765\u521d\u59cb\u5316\u56fa\u5b9a\u5927\u5c0f\u7684\u77e9\u9635; \u5c06\u8f85\u52a9\u5b58\u50a8\u5668\u4e0e\u6807\u51c6\u77e9\u9635\u4e00\u8d77\u4f7f\u7528\u4e0d\u53d7\u5f71\u54cd\n\u5220\u9664\u4e86 .print_trans\uff08\uff09 \u548c .raw_print_trans\uff08\uff09; \u76f8\u53cd\uff0c\u60a8\u53ef\u4ee5\u94fe\u63a5 .t\uff08\uff09 \u548c .print\uff08\uff09 \u4ee5\u83b7\u5f97\u7c7b\u4f3c\u7684\u7ed3\u679c\uff1aX.t\uff08\uff09.print\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c2.4\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86\u8f83\u77ed\u7684\u8f6c\u7f6e\u5f62\u5f0f\uff1a.t\uff08\uff09 \u548c .st\uff08\uff09\n\u6dfb\u52a0\u4e86 .resize\uff08\uff09 \u548c resize\uff08\uff09\n\u6dfb\u52a0\u4e86\u53ef\u9009\u7684 64 \u4f4d\u7d22\u5f15\uff08\u5141\u8bb8\u77e9\u9635\u5177\u6709\u8d85\u8fc7 40 \u4ebf\u4e2a\u5143\u7d20\uff09\uff0c\u901a\u8fc7 include\/armadillo_bits\/config.hpp \u4e2d\u7684ARMA_64BIT_WORD\u542f\u7528\n\u6dfb\u52a0\u4e86\u5bf9 C++11 \u521d\u59cb\u5316\u7a0b\u5e8f\u5217\u8868\u7684\u5b9e\u9a8c\u6027\u652f\u6301\uff0c\u901a\u8fc7 include\/armadillo_bits\/config.hpp \u4e2d\u7684ARMA_USE_CXX11\u542f\u7528\n\u91cd\u6784\u4ee3\u7801\u4ee5\u6d88\u9664\u4f7f\u7528 Clang C++ \u7f16\u8bd1\u5668\u65f6\u7684\u8b66\u544a\numat\u3001uvec\u3001.min\uff08\uff09 \u548c .max\uff08\uff09 \u5df2\u66f4\u6539\u4e3a\u4f7f\u7528 uword \u7c7b\u578b\u800c\u4e0d\u662f u32 \u7c7b\u578b; \u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0cuword \u548c u32 \u7c7b\u578b\u662f\u7b49\u6548\u7684\uff08\u5373\u6700\u5c0f\u5bbd\u5ea6\u4e3a 32 \u4f4d\u7684\u65e0\u7b26\u53f7\u6574\u6570\u7c7b\u578b\uff09; \u4f46\u662f\uff0c\u5f53\u901a\u8fc7 include\/armadillo_bits\/config.hpp \u4e2d\u7684ARMA_64BIT_WORD\u542f\u7528 64 \u4f4d\u7d22\u5f15\u65f6\uff0c \u7136\u540e\uff0cuword \u7c7b\u578b\u7684\u6700\u5c0f\u5bbd\u5ea6\u4e3a 64 \u4f4d<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c2.2\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u65b0\u589esvd_econ\uff08\uff09\n\u65b0\u589ecirc_toeplitz\uff08\uff09\n\u6dfb\u52a0\u4e86 .is_colvec\uff08\uff09 \u548c .is_rowvec\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c2.0\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>det\uff08\uff09\u3001inv\uff08\uff09 \u548c solve\uff08\uff09 \u53ef\u4ee5\u5f3a\u5236\u5bf9\u5fae\u5c0f\u77e9\u9635\u4f7f\u7528\u66f4\u7cbe\u786e\u7684\u7b97\u6cd5\uff08\u2264 4x4\uff09\n\u6dfb\u52a0\u4e86 syl\uff08\uff09\uff0c\u7528\u4e8e\u6c42\u89e3\u897f\u5c14\u7ef4\u65af\u7279\u65b9\u7a0b\n\u6dfb\u52a0\u4e86 strans\uff08\uff09\uff0c\u7528\u4e8e\u5728\u4e0d\u91c7\u7528\u590d\u6570\u5171\u8f6d\u7684\u60c5\u51b5\u4e0b\u8f6c\u7f6e\u590d\u77e9\u9635\n\u6dfb\u52a0\u4e86 symmatu\uff08\uff09 \u548c symmatl\uff08\uff09\n\u6dfb\u52a0\u4e86\u5b50\u77e9\u9635\u7684\u5b50\u77e9\u9635\n\u5bf9\u79f0\u6b63\u5b9a\u77e9\u9635\u7684\u66f4\u5feb\u53cd\u8f6c\n\u5bf9\u56fa\u5b9a\u5c3a\u5bf8\u77e9\u9635\u7684\u5143\u7d20\u8bbf\u95ee\u901f\u5ea6\u66f4\u5feb\n\u5fae\u5c0f\u77e9\u9635\u7684\u4e58\u6cd5\u901f\u5ea6\u66f4\u5feb\uff08\u4f8b\u5982 4x4\uff09\n\u5305\u542b\u5b50\u77e9\u9635\u7684\u66f4\u5feb\u590d\u5408\u8868\u8fbe\u5f0f\n\u589e\u52a0\u4e86\u5bf9\u4efb\u610f\u5927\u5c0f\u7684\u7a7a\u77e9\u9635\u7684\u5904\u7406\uff08\u4f8b\u5982 5x0\uff09\n\u5728 running_stat \u548c running_stat_vec \u4e2d\u6dfb\u52a0\u4e86 .count\uff08\uff09 \u6210\u5458\u51fd\u6570\n\u6dfb\u52a0\u4e86\u5c06\u77e9\u9635\u52a0\u8f7d\u548c\u4fdd\u5b58\u4e3aCSV\u6587\u672c\u6587\u4ef6\ntrans\uff08\uff09 \u73b0\u5728\u5728\u8f6c\u7f6e\u590d\u77e9\u9635\u65f6\u91c7\u7528\u590d\u6570\u5171\u8f6d\n\u4e0d\u8fd4\u56de\u6307\u793a\u6210\u529f\u7684\u5e03\u5c14\u503c\u7684 chol\uff08\uff09\u3001eig_sym\uff08\uff09\u3001eig_gen\uff08\uff09\u3001inv\uff08\uff09\u3001lu\uff08\uff09\u3001pinv\uff08\uff09\u3001princomp\uff08\uff09\u3001qr\uff08\uff09\u3001solve\uff08\uff09\u3001svd\uff08\uff09\u3001syl\uff08\uff09 \u7684\u5f62\u5f0f\u73b0\u5728\u5728\u68c0\u6d4b\u5230\u5931\u8d25\u65f6\u4f1a\u629b\u51fa std\uff1a\uff1aruntime_error \u5f02\u5e38\nprincomp_cov\uff08\uff09 \u5df2\u88ab\u5220\u9664;eig_sym\uff08\uff09 \u53ef\u4ee5\u4e0e cov\uff08\uff09 \u7ed3\u5408\u4f7f\u7528\n.is_vec\uff08\uff09 \u73b0\u5728\u5bf9\u7a7a\u5411\u91cf\u8f93\u51fa true\uff08\u4f8b\u5982 0x1\uff09\nset_log_stream\uff08\uff09 \u548c get_log_stream\uff08\uff09 \u5df2\u88ab set_stream_err1\uff08\uff09 \u548c get_stream_err1\uff08\uff09 \u53d6\u4ee3<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7248\u672c1.2\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6dfb\u52a0\u4e86 Mat \u548c Cube \u7684 .min\uff08\uff09 \u548c .max\uff08\uff09 \u6210\u5458\u51fd\u6570\n\u6dfb\u52a0\u4e86 floor\uff08\uff09 \u548c ceil\uff08\uff09\n\u6dfb\u52a0\u4e86\u201cNot a Number\u201d\u7684\u8868\u793a\u5f62\u5f0f\uff1amath\uff1a\uff1anan\uff08\uff09\n\u6dfb\u52a0\u4e86\u65e0\u7a77\u5927\u7684\u8868\u793a\u5f62\u5f0f\uff1amath\uff1a\uff1ainf\uff08\uff09\n.in_range\uff08\uff09 \u6269\u5c55\u4e3a\u4f7f\u7528 span\uff08\uff09 \u53c2\u6570\n\u56fa\u5b9a\u5927\u5c0f\u7684\u77e9\u9635\u548c\u5411\u91cf\u53ef\u4ee5\u4f7f\u7528\u8f85\u52a9\uff08\u5916\u90e8\uff09\u5b58\u50a8\u5668\n\u5b50\u77e9\u9635\u548c\u5b50\u5b57\u6bb5\u53ef\u4ee5\u901a\u8fc7 X\uff08 span\uff08a\uff0cb\uff09\uff0c span\uff08c\uff0cd\uff09 \uff09 \u8bbf\u95ee\n\u5b50\u7acb\u65b9\u4f53\u53ef\u4ee5\u901a\u8fc7 X\uff08 span\uff08a\uff0cb\uff09\uff0c span\uff08c\uff0cd\uff09\uff0c span\uff08e\uff0cf\uff09 \uff09 \u8bbf\u95ee\nspan \u7684\u4e24\u4e2a\u53c2\u6570\u7248\u672c\u53ef\u4ee5\u66ff\u6362\u4e3a span\uff1a\uff1aall \u6216 span\uff08\uff09\uff0c\u4ee5\u6307\u793a\u6574\u4e2a\u8303\u56f4\n\u5bf9\u4e8e\u591a\u7ef4\u6570\u636e\u96c6\uff0cspan \u7684\u4e24\u4e2a\u53c2\u6570\u7248\u672c\u53ef\u4ee5\u66ff\u6362\u4e3a \u5355\u4e2a\u53c2\u6570\u7248\u672c span\uff08a\uff09\uff0c\u7528\u4e8e\u6307\u793a\u5355\u4e2a\u5217\u3001\u884c\u6216\u5207\u7247\n\u4efb\u610f\u7684\u201c\u5e73\u9762\u201d\u5b50\u7acb\u65b9\u4f53\u53ef\u4ee5\u89e3\u91ca\u4e3a\u77e9\u9635;\u4f8b\u5982\uff1a\ncube Q = randu&lt;cube&gt;(5,3,4);\nmat  A = Q( span(1), span(1,2), span::all );\n\/\/ A has a size of 2x4\n\nvec v = ones&lt;vec&gt;(4);\nQ( span(1), span(1), span::all ) = v;\n\u901a\u8fc7 trimatu\uff08\uff09 \/ trimatl\uff08\uff09 \u6dfb\u52a0\u4e86\u5bf9\u77e9\u9635\u7684\u4e09\u89d2\u5f62\u89e3\u91ca\n\u6dfb\u52a0\u4e86 solve\uff08\uff09 \u548c inv\uff08\uff09 \u5bf9\u4e09\u89d2\u77e9\u9635\u7684\u663e\u5f0f\u5904\u7406\n\u5b50\u77e9\u9635\u7684\u6269\u5c55\u8bed\u6cd5\uff0c\u5305\u62ec\u8bbf\u95ee\u5176\u7d22\u5f15\u5728\u5411\u91cf\u4e2d\u6307\u5b9a\u7684\u5143\u7d20\n\u6dfb\u52a0\u4e86\u66f4\u6539\u7528\u4e8e\u8bb0\u5f55\u9519\u8bef\u548c\u8b66\u544a\u7684\u6d41\u7684\u529f\u80fd\n\u6dfb\u52a0\u4e86\u4ee5\u539f\u59cb\u4e8c\u8fdb\u5236\u683c\u5f0f\u4fdd\u5b58\/\u52a0\u8f7d\u77e9\u9635\u7684\u529f\u80fd\n\u6dfb\u52a0\u4e86\u7d2f\u79ef\u6c42\u548c\u51fd\u6570\uff1acumsum\uff08\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u5728 1.0 \u4e2d\u66f4\u6539\uff08\u4e0e\u65e9\u671f\u7684 0.x \u5f00\u53d1\u7248\u672c\u76f8\u6bd4\uff09\uff1a<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>lu\uff08\uff09 \u7684 3 \u4e2a\u53c2\u6570\u7248\u672c\uff0c \u4f8b\u5982\u3002\u5362\uff08L\uff0cU\uff0cX\uff09\uff0c \u63d0\u4f9b L \u548c U\uff0c\u5b83\u4eec\u5e94\u8be5\u4e0e Octave 3.2 \u4ea7\u751f\u7684\u76f8\u540c \uff08\u5728 0.9.90 \u4e4b\u524d\u7684\u7248\u672c\u4e2d\u5e76\u975e\u5982\u6b64\uff09  \nrand\uff08\uff09 \u5df2\u88ab randu\uff08\uff09 \u53d6\u4ee3; \u8fd9\u6837\u505a\u662f\u4e3a\u4e86\u907f\u514d\u4e0e std\uff1a\uff1arand\uff08\uff09 \u6df7\u6dc6\uff0c \u5b83\u4ee5\u4e0d\u540c\u7684\u95f4\u9694\u751f\u6210\u968f\u673a\u6570\n\u5728 0.9.0 \u4e4b\u524d\u7684\u7248\u672c\u4e2d\uff0c\u4e00\u4e9b\u4e58\u6cd5\u8fd0\u7b97\u76f4\u63a5\u5c06\u5927\u5c0f\u4e3a 1x1 \u7684\u7ed3\u679c\u77e9\u9635\u8f6c\u6362\u4e3a\u6807\u91cf\u3002 \u73b0\u5728\u60c5\u51b5\u5df2\u4e0d\u518d\u5982\u6b64\u3002 \u5982\u679c\u60a8\u77e5\u9053\u8868\u8fbe\u5f0f\u7684\u7ed3\u679c\u5c06\u662f\u4e00\u4e2a 1x1 \u77e9\u9635\uff0c\u5e76\u5e0c\u671b\u5c06\u5176\u89c6\u4e3a\u7eaf\u6807\u91cf\uff0c \u4f7f\u7528 as_scalar\uff08\uff09 \u5305\u88c5\u51fd\u6570\n\u51e0\u4e4e\u6240\u6709\u529f\u80fd\u90fd\u5df2\u653e\u7f6e\u5728\u5ef6\u8fdf\u64cd\u4f5c\u6846\u67b6\u4e2d\uff08\u51fa\u4e8e\u901f\u5ea6\u76ee\u7684\uff09\u3002 \u8fd9\u53ef\u80fd\u4f1a\u5f71\u54cd\u5047\u5b9a\u67d0\u4e9b\u51fd\u6570\u7684\u8f93\u51fa\u662f\u7eaf\u77e9\u9635\u7684\u4ee3\u7801\u3002 \u89e3\u51b3\u65b9\u6848\u5f88\u7b80\u5355\uff0c\u5982\u4e0b\u6240\u8ff0\u3002   \n\u901a\u5e38\uff0c\u72b0\u72f3\u5728\u6267\u884c\u64cd\u4f5c\u4e4b\u524d\u4f1a\u5bf9\u64cd\u4f5c\u8fdb\u884c\u6392\u961f\u3002 \u56e0\u6b64\uff0c\u4e0d\u80fd\u5047\u5b9a\u64cd\u4f5c\u6216\u51fd\u6570\u7684\u76f4\u63a5\u8f93\u51fa\u662f\u53ef\u76f4\u63a5\u8bbf\u95ee\u7684\u77e9\u9635\u3002 \u5f53\u8f93\u51fa\u9700\u8981\u5b58\u50a8\u5728\u77e9\u9635\u4e2d\u65f6\uff0c\u5c06\u6267\u884c\u6392\u961f\u64cd\u4f5c\uff0c \u4f8b\u5982\u3002mat B = \u53cd\u5f0f \uff08A\uff09 \u6216 mat B\uff08\u53cd\u5f0f \uff08A\uff09\uff09\u3002 \u5982\u679c\u9700\u8981\u5f3a\u5236\u6267\u884c\u5ef6\u8fdf\u7684\u64cd\u4f5c\uff0c \u5c06\u64cd\u4f5c\u6216\u51fd\u6570\u653e\u5728\u76f8\u5e94\u7684 Mat \u6784\u9020\u51fd\u6570\u4e2d\u3002 \u4f8b\u5982\uff0c\u5982\u679c\u60a8\u7684\u4ee3\u7801\u5047\u5b9a\u67d0\u4e9b\u51fd\u6570\u7684\u8f93\u51fa\u662f\u7eaf\u77e9\u9635\uff0c \u4f8b\u5982\u3002chol\uff08m\uff09.diag\uff08\uff09\uff0c\u5c06\u4ee3\u7801\u66f4\u6539\u4e3a mat\uff08chol\uff08m\uff09\uff09.diag\uff08\uff09\u3002 \u540c\u6837\uff0c\u5982\u679c\u60a8\u9700\u8981\u5c06 A+B \u7b49\u64cd\u4f5c\u7684\u7ed3\u679c\u4f20\u9012\u7ed9\u81ea\u5df1\u7684\u51fd\u6570\u4e4b\u4e00\uff0c \u4f7f\u7528 my_function\uff08 mat\uff08A+B\uff09 \uff09\u3002<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>API \u6dfb\u52a0\u548c\u66f4\u6539\u7684\u5386\u53f2\u8bb0\u5f55@[toc] API \u7a33\u5b9a\u6027\u548c\u7248\u672c\u653f\u7b56\uff1a \u72b0\u72f3\u7684\u6bcf\u4e2a\u7248\u672c\u90fd\u6709\u5176\u516c\u5171 API\uff08\u51fd\u6570\u3001 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