{"id":44,"date":"2024-09-10T07:29:04","date_gmt":"2024-09-09T23:29:04","guid":{"rendered":"http:\/\/chaixiangyu.cn\/?p=44"},"modified":"2024-09-11T21:40:01","modified_gmt":"2024-09-11T13:40:01","slug":"armadillo%ef%bc%9a%e7%9f%a9%e9%98%b5%e7%b1%bb%e3%80%81%e5%90%91%e9%87%8f%e7%b1%bb%e3%80%81cube%e7%b1%bb%e5%92%8c%e6%b3%9b%e5%9e%8b%e7%b1%bb","status":"publish","type":"post","link":"https:\/\/chaixiangyu.cn\/?p=44","title":{"rendered":"Armadillo\uff1a\u77e9\u9635\u7c7b\u3001\u5411\u91cf\u7c7b\u3001Cube\u7c7b\u548c\u6cdb\u578b\u7c7b"},"content":{"rendered":"\n<p>@[toc]<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">\u77e9\u9635\u7c7b\u3001\u5411\u91cf\u7c7b\u3001Cube\u7c7b\u548c\u6cdb\u578b\u7c7b<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Mat<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">mat<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">cx_mat<\/h2>\n\n\n\n<p>\u5bc6\u96c6\u77e9\u9635\u7684\u7c7b\uff0c\u5176\u5143\u7d20\u6309\u5217\u4f18\u5148\u987a\u5e8f\u5b58\u50a8\uff08\u5373\u9010\u5217\uff09<\/p>\n\n\n\n<p>\u6839\u77e9\u9635\u7c7b\u662f <code>Mat&lt;type&gt;<\/code>\uff0c\u5176\u4e2d <code>type<\/code> \u662f\u4ee5\u4e0b\u9879\u4e4b\u4e00\uff1a<br><code>float<\/code>\u3001<code>double<\/code>\u3001<code>std::complex&lt;float&gt;<\/code>\u3001<code>std::complex&lt;double&gt;short<\/code>\u3001<code>int<\/code>\u3001<code>long<\/code> \u548c\u65e0\u7b26\u53f7\u7684 <code>short<\/code>\u3001<code>int<\/code>\u3001<code>long<\/code><\/p>\n\n\n\n<p>\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u5b9a\u4e49\u4e86\u4ee5\u4e0b typedef\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mat     =  Mat&lt;double&gt;\ndmat     =  Mat&lt;double&gt;\nfmat     =  Mat&lt;float&gt;\ncx_mat     =  Mat&lt;cx_double&gt;\ncx_dmat     =  Mat&lt;cx_double&gt;\ncx_fmat     =  Mat&lt;cx_float&gt;\numat     =  Mat&lt;uword&gt;\nimat     =  Mat&lt;sword&gt;<\/code><\/pre>\n\n\n\n<p>\u5728\u672c\u6587\u6863\u4e2d\uff0c\u4e3a\u4e86\u65b9\u4fbf\u8d77\u89c1\uff0c\u4f7f\u7528\u4e86\u57ab\u5b50\u7c7b\u578b; \u53ef\u4ee5\u4f7f\u7528\u5176\u4ed6\u77e9\u9635\u7c7b\u578b\u6765\u4ee3\u66ff\uff0c\u4f8b\u5982<code>FMAT<\/code>\u7cfb\u5217\u3002<\/p>\n\n\n\n<p>\u5177\u6709\u6574\u6570\u5143\u7d20\u7684\u77e9\u9635\u7c7b\u578b\uff08\u5982 <code>umat<\/code> \u548c <code>imat<\/code>\uff09\u4e0d\u80fd\u5305\u542b\u7279\u6b8a\u503c\uff0c\u5982 <code>NaN<\/code> \u548c <code>Inf<\/code>\u3002<\/p>\n\n\n\n<p>\u4f7f\u7528 LAPACK \u7684\u51fd\u6570\uff08\u901a\u5e38\u4e3a\u77e9\u9635\u5206\u89e3\uff09\u4ec5\u5bf9\u4ee5\u4e0b\u77e9\u9635\u7c7b\u578b\u6709\u6548\uff1a<code>mat<\/code>\u3001<code>dmat<\/code>\u3001<code>fmat<\/code>\u3001<code>cx_mat<\/code>\u3001<code>cx_dmat`` cx_fmat<\/code><\/p>\n\n\n\n<p>\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mat()       \nmat(n_rows, n_cols)      \nmat(n_rows, n_cols, fill_form)      \uff08\u5143\u7d20\u6839\u636e fill_form \u8fdb\u884c\u521d\u59cb\u5316)\nmat(size(X))         \nmat(size(X), fill_form)     \uff08\u5143\u7d20\u6839\u636e fill_form \u8fdb\u884c\u521d\u59cb\u5316)\nmat(mat)         \nmat(vec)         \nmat(rowvec)      \nmat(initializer_list)        \nmat(string)      \nmat(std::vector)        \uff08\u88ab\u89c6\u4e3a\u5217\u5411\u91cf\uff09\nmat(sp_mat)     \uff08\u7528\u4e8e\u5c06\u7a00\u758f\u77e9\u9635\u8f6c\u6362\u4e3a\u5bc6\u96c6\u77e9\u9635\uff09\ncx_mat(mat,mat)     \uff08\u7528\u4e8e\u4ece\u4e24\u4e2a\u5b9e\u6570\u77e9\u9635\u4e2d\u6784\u9020\u4e00\u4e2a\u590d\u77e9\u9635\uff09<\/code><\/pre>\n\n\n\n<p>\u8fd9\u4e9b\u5143\u7d20\u53ef\u4ee5\u5728\u6784\u9020\u8fc7\u7a0b\u4e2d\u901a\u8fc7\u6307\u5b9a fill_form \u6765\u663e\u5f0f\u521d\u59cb\u5316\uff0c\u8fd9\u662f\u5176\u4e2d\u4e4b\u4e00\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>fill::zeros \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a 0\nfill::ones  \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a 1\nfill::eye   \u21a6   \u5c06\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u7684\u5143\u7d20\u8bbe\u7f6e\u4e3a 1\uff0c\u5c06\u975e\u5bf9\u89d2\u7ebf\u4e0a\u7684\u5143\u7d20\u8bbe\u7f6e\u4e3a 0\nfill::randu \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a &#91;0,1] \u533a\u95f4\u5185\u5747\u5300\u5206\u5e03\u4e2d\u7684\u968f\u673a\u503c\nfill::randn \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a\u5747\u503c\u548c\u5355\u4f4d\u65b9\u5dee\u4e3a\u96f6\u7684\u6b63\u6001\/\u9ad8\u65af\u5206\u5e03\u4e2d\u7684\u968f\u673a\u503c\nfill::value(scalar) \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a\u6307\u5b9a\u7684\u6807\u91cf\nfill::none  \u21a6   \u4e0d\u8981\u521d\u59cb\u5316\u5143\u7d20<\/code><\/pre>\n\n\n\n<p>\u8b66\u544a\uff1a<br>\u4eceArmadillo 10.5 \u5f00\u59cb\uff0c\u5143\u7d20\u9ed8\u8ba4\u521d\u59cb\u5316\u4e3a\u96f6<br>\u5728 Armadillo 10.4 \u53ca\u66f4\u65e9\u7248\u672c\u4e2d\uff0c\u9664\u975e\u6307\u5b9afill_form\u5426\u5219\u4e0d\u4f1a\u521d\u59cb\u5316\u5143\u7d20; \u5373\uff0c\u5982\u679c\u4e0d\u6307\u5b9afill_form\uff0c\u5143\u7d20\u53ef\u80fd\u5305\u542b\u5783\u573e\u503c\uff0c\u5305\u62ecNaN<\/p>\n\n\n\n<p>\u5bf9\u4e8e mat\uff08string\uff09 \u6784\u9020\u51fd\u6570\uff0c\u683c\u5f0f\u662f\u7528\u7a7a\u683c\u5206\u9694\u7684\u5143\u7d20\uff0c\u7528\u5206\u53f7\u8868\u793a\u7684\u884c; \u4f8b\u5982\uff0c\u53ef\u4ee5\u4f7f\u7528 ; \u8bf7\u6ce8\u610f\uff0c\u57fa\u4e8e\u5b57\u7b26\u4e32\u7684\u521d\u59cb\u5316\u6bd4\u76f4\u63a5\u8bbe\u7f6e\u5143\u7d20\u6216\u4f7f\u7528\u5143\u7d20\u521d\u59cb\u5316\uff08&#8221;1 0; 0 1&#8243;\uff09\u8981\u6162<\/p>\n\n\n\n<p>\u6bcf\u4e2a mat \u5b9e\u4f8b\u90fd\u4f1a\u81ea\u52a8\u5206\u914d\u548c\u91ca\u653e\u5185\u90e8\u5b58\u50a8\u5668\u3002 \u4e00\u65e6\u5b9e\u4f8b\u8d85\u51fa\u8303\u56f4\uff0cmat \u5b9e\u4f8b\u4f7f\u7528\u7684\u6240\u6709\u5185\u90e8\u5206\u914d\u7684\u5185\u5b58\u90fd\u4f1a\u81ea\u52a8\u91ca\u653e\u3002 \u4f8b\u5982\uff0c\u5982\u679c\u5728\u51fd\u6570\u4e2d\u58f0\u660e\u4e86 mat \u7684\u5b9e\u4f8b\uff0c\u5b83\u5c06\u5728\u51fd\u6570\u7ed3\u675f\u65f6\u81ea\u52a8\u9500\u6bc1\u3002 \u8981\u5728\u4efb\u4f55\u65f6\u5019\u5f3a\u5236\u91ca\u653e\u5185\u5b58\uff0c\u8bf7\u4f7f\u7528 .reset\uff08\uff09;\u8bf7\u6ce8\u610f\uff0c\u5728\u6b63\u5e38\u4f7f\u7528\u4e2d\uff0c\u8fd9\u4e0d\u662f\u5fc5\u9700\u7684\u3002<\/p>\n\n\n\n<p>\u9ad8\u7ea7\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mat(ptr_aux_mem, n_rows, n_cols, copy_aux_mem = true, strict = false)<\/code><\/pre>\n\n\n\n<p>\u4f7f\u7528\u6765\u81ea\u53ef\u5199\u8f85\u52a9\uff08\u5916\u90e8\uff09\u5b58\u50a8\u5668\u7684\u6570\u636e\u521b\u5efa\u77e9\u9635\uff0c\u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5b58\u50a8\u5668\u7684\u6307\u9488\u3002 \u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u77e9\u9635\u5206\u914d\u81ea\u5df1\u7684\u5185\u5b58\u5e76\u4ece\u8f85\u52a9\u5185\u5b58\u4e2d\u590d\u5236\u6570\u636e\uff08\u4e3a\u4e86\u5b89\u5168\u8d77\u89c1\uff09\u3002 \u4f46\u662f\uff0c\u5982\u679c <code>copy_aux_mem<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code>\uff0c \u77e9\u9635\u5c06\u76f4\u63a5\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff08\u5373\u4e0d\u590d\u5236\uff09; \u8fd9\u66f4\u5feb\uff0c\u4f46\u9664\u975e\u60a8\u77e5\u9053\u81ea\u5df1\u5728\u505a\u4ec0\u4e48\uff0c\u5426\u5219\u53ef\u80fd\u4f1a\u5f88\u5371\u9669\uff01<\/p>\n\n\n\n<p>\u4e25\u683c\u53c2\u6570\u4ec5\u5728 <code>copy_aux_mem<\/code> \u8bbe\u7f6e\u4e3a false \u65f6\u751f\u6548\uff08\u5373\u77e9\u9635\u76f4\u63a5\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff09<br>\u5f53 <code>strict<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code> \u65f6\uff0c\u77e9\u9635\u5c06\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff0c\u76f4\u5230\u5927\u5c0f\u66f4\u6539\u6216\u51fa\u73b0\u522b\u540d\u4e8b\u4ef6<br>\u5f53 <code>strict<\/code> \u8bbe\u7f6e\u4e3a <code>true<\/code> \u65f6\uff0c\u77e9\u9635\u5c06\u5728\u5176\u751f\u547d\u5468\u671f\u5185\u7ed1\u5b9a\u5230\u8f85\u52a9\u5b58\u50a8\u5668; \u77e9\u9635\u4e2d\u7684\u5143\u7d20\u6570\u65e0\u6cd5\u66f4\u6539<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>    mat(const ptr_aux_mem, n_rows, n_cols)<\/code><\/pre>\n\n\n\n<p>\u901a\u8fc7\u4ece\u53ea\u8bfb\u8f85\u52a9\u5b58\u50a8\u5668\u590d\u5236\u6570\u636e\u6765\u521b\u5efa\u77e9\u9635\uff0c \u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>    mat::fixed&lt;n_rows, n_cols&gt;<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u77e9\u9635\uff0c\u5176\u5927\u5c0f\u901a\u8fc7\u6a21\u677f\u53c2\u6570\u6307\u5b9a\u3002 \u77e9\u9635\u7684\u5185\u5b58\u5728\u7f16\u8bd1\u65f6\u4fdd\u7559\u3002 \u8fd9\u901a\u5e38\u6bd4\u52a8\u6001\u5185\u5b58\u5206\u914d\u66f4\u5feb\uff0c\u4f46\u4e4b\u540e\u65e0\u6cd5\uff08\u76f4\u63a5\u6216\u95f4\u63a5\uff09\u66f4\u6539\u77e9\u9635\u7684\u5927\u5c0f\u3002<\/p>\n\n\n\n<p>\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u6bcf\u4e2a\u77e9\u9635\u7c7b\u578b\u90fd\u6709\u51e0\u4e2a\u9884\u5b9a\u4e49\u7684 typedef \uff08\u5176\u4e2d\u7c7b\u578b\u4e3a\uff1a<code>UMAT<\/code>\u3001<code>IMAT<\/code>\u3001<code>FMAT<\/code>\u3001<code>MAT<\/code>\u3001<code>cx_fmat<\/code>\u3001<code>cx_mat<\/code>\uff09\u3002 typedefs \u6307\u5b9a\u65b9\u9635\u5927\u5c0f\uff0c\u8303\u56f4\u4ece 2&#215;2 \u5230 9&#215;9\u3002 typedefs \u662f\u901a\u8fc7\u5c06\u5927\u5c0f\u7684\u4e24\u4f4d\u6570\u5f62\u5f0f\u9644\u52a0\u5230\u77e9\u9635\u7c7b\u578b\u6765\u5b9a\u4e49\u7684; \u793a\u4f8b\uff1a<code>mat33<\/code> \u7b49\u6548\u4e8e <code>mat::fixed&lt;3,3&gt;<\/code>\uff0c \u800c <code>cx_mat44<\/code> \u7b49\u6548\u4e8e <code>cx_ma::fixed&lt;4,4&gt;<\/code>\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mat::fixed&lt;n_rows, n_cols&gt;(fill_form)<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u77e9\u9635\uff0c\u5176\u4e2d\u5143\u7d20\u6839\u636e<code>fill_form<\/code>\u663e\u5f0f\u521d\u59cb\u5316<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mat::fixed&lt;n_rows, n_cols&gt;(const ptr_aux_mem)<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u77e9\u9635\uff0c\u5176\u5927\u5c0f\u901a\u8fc7\u6a21\u677f\u53c2\u6570\u6307\u5b9a; \u6570\u636e\u4ece\u8f85\u52a9\u5185\u5b58\u590d\u5236\uff0c\u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488<\/p>\n\n\n\n<p>\u4f8b\u5b50\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mat A(5, 5, fill::randu);\ndouble x = A(1,2);\n\nmat B = A + A;\nmat C = A * B;\nmat D = A % B;\n\ncx_mat X(A,B);\n\nB.zeros();\nB.set_size(10,10);\nB.ones(5,6);\n\nB.print(\"B:\");\n\nmat::fixed&lt;5,6&gt; F;\n\ndouble aux_mem&#91;24];\nmat H(&amp;aux_mem&#91;0], 4, 6, false);  \/\/ use auxiliary memory<\/code><\/pre>\n\n\n\n<p>\u53e6\u8bf7\u53c2\u9605\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>matrix attributes\naccessing elements\ninitialising elements\nmath &amp; relational operators\nsubmatrix views\nsaving &amp; loading matrices\nprinting matrices\nelement iterators\n.eval()\nconv_to() \uff08\u5728\u77e9\u9635\u7c7b\u578b\u4e4b\u95f4\u8f6c\u6362\uff09\nCol class\nRow class\nCube class\nSpMat \u7c7b\uff08\u5177\u6709\u538b\u7f29\u7a00\u758f\u5217\u683c\u5f0f\u7684\u7a00\u758f\u77e9\u9635\uff09\nconfig.hpp\nTypeDef\u7684\u89e3\u91ca \uff08cplusplus.com\uff09 \nC \u6570\u636e\u7c7b\u578b \uff08\u7ef4\u57fa\u767e\u79d1\uff09<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Col<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">vec<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">cx_vec<\/h2>\n\n\n\n<p>\u5217\u5411\u91cf\u7684\u7c7b\uff08\u5177\u6709\u4e00\u5217\u7684\u5bc6\u96c6\u77e9\u9635\uff09<\/p>\n\n\n\n<p><code>Col&lt;type&gt;<\/code> \u7c7b\u6d3e\u751f\u81ea <code>Mat&lt;type&gt;<\/code> \u7c7b \u5e76\u7ee7\u627f\u4e86\u5927\u90e8\u5206\u6210\u5458\u51fd\u6570<\/p>\n\n\n\n<p>\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u5b9a\u4e49\u4e86\u4ee5\u4e0b typedef\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vec     =  colvec   =  Col&lt;double&gt;\ndvec     =  dcolvec  =  Col&lt;double&gt;\nfvec     =  fcolvec  =  Col&lt;float&gt;\ncx_vec     =  cx_colvec    =  Col&lt;cx_double&gt;\ncx_dvec     =  cx_dcolvec   =  Col&lt;cx_double&gt;\ncx_fvec     =  cx_fcolvec   =  Col&lt;cx_float&gt;\nuvec     =  ucolvec  =  Col&lt;uword&gt;\nivec     =  icolvec  =  Col&lt;sword&gt;<\/code><\/pre>\n\n\n\n<p><strong>vec<\/strong>\u548c <strong>colvec<\/strong>\u7c7b\u578b\u5177\u6709<strong>\u76f8\u540c\u7684\u542b\u4e49<\/strong>\uff0c\u53ef\u4ee5<strong>\u4e92\u6362\u4f7f\u7528<\/strong><\/p>\n\n\n\n<p>\u5728\u672c\u6587\u6863\u4e2d\uff0c\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u4f7f\u7528\u4e86 <code>vec<\/code> \u6216 <code>colvec<\/code> \u7c7b\u578b;\u53ef\u4ee5\u4f7f\u7528\u5176\u4ed6\u5217\u5411\u91cf\u7c7b\u578b\u6765\u4ee3\u66ff\uff0c\u4f8b\u5982\u3002FVEC\u3001FCOLVEC<\/p>\n\n\n\n<p>\u4ee5 Mat \u4e3a\u8f93\u5165\u7684\u51fd\u6570\u901a\u5e38\u4e5f\u53ef\u4ee5\u4ee5 Col \u4e3a\u8f93\u5165; \u4e3b\u8981\u7684\u4f8b\u5916\u662f\u9700\u8981\u5e73\u65b9\u77e9\u9635\u7684\u51fd\u6570<\/p>\n\n\n\n<p>\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vec()        \nvec(n_elem)      \nvec(n_elem, fill_form)      \uff08\u5143\u7d20\u6839\u636e fill_form \u8fdb\u884c\u521d\u59cb\u5316)\nvec(size(X))         \nvec(size(X), fill_form)     \uff08\u5143\u7d20\u6839\u636e fill_form \u8fdb\u884c\u521d\u59cb\u5316)\nvec(vec)         \nvec(mat)        (\u5982\u679c\u7ed9\u5b9a\u77e9\u9635\u5177\u6709\u591a\u5217\uff0c\u5219\u4f1a\u5f15\u53d1 std\uff1a\uff1alogic_error \u5f02\u5e38\uff09\nvec(initializer_list)        \nvec(string)     \uff08\u7528\u7a7a\u683c\u5206\u9694\u7684\u5143\u7d20\uff09\nvec(std::vector)         \ncx_vec(vec,vec)     \uff08\u7528\u4e8e\u4ece\u4e24\u4e2a\u5b9e\u5411\u91cf\u4e2d\u6784\u9020\u4e00\u4e2a\u590d\u5411\u91cf\uff09<\/code><\/pre>\n\n\n\n<p>\u8b66\u544a\uff1a<br>\u4eceArmadillo 10.5 \u5f00\u59cb\uff0c\u5143\u7d20\u9ed8\u8ba4\u521d\u59cb\u5316\u4e3a\u96f6<br>\u5728 Armadillo 10.4 \u53ca\u66f4\u65e9\u7248\u672c\u4e2d\uff0c\u9664\u975e\u6307\u5b9a<code>fill_form<\/code>\u5426\u5219\u4e0d\u4f1a\u521d\u59cb\u5316\u5143\u7d20; \u5373\u3002\u5982\u679c\u4e0d\u6307\u5b9a<code>fill_form<\/code>\uff0c\u5143\u7d20\u53ef\u80fd\u5305\u542b\u5783\u573e\u503c\uff0c\u5305\u62ec <code>NaN<\/code>;\u6709\u5173<code>fill_form<\/code>\u7684\u8be6\u7ec6\u4fe1\u606f\uff0c\u8bf7\u53c2\u9605 Mat \u7c7b<\/p>\n\n\n\n<p>\u9ad8\u7ea7\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vec(ptr_aux_mem, number_of_elements, copy_aux_mem = true, strict = false)<\/code><\/pre>\n\n\n\n<p>\u4f7f\u7528\u6765\u81ea\u53ef\u5199\u8f85\u52a9\uff08\u5916\u90e8\uff09\u5b58\u50a8\u5668\u7684\u6570\u636e\u521b\u5efa\u5217\u5411\u91cf\uff0c\u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488\u3002 \u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u5411\u91cf\u5206\u914d\u81ea\u5df1\u7684\u5185\u5b58\u5e76\u4ece\u8f85\u52a9\u5185\u5b58\u4e2d\u590d\u5236\u6570\u636e\uff08\u4e3a\u4e86\u5b89\u5168\u8d77\u89c1\uff09\u3002 \u4f46\u662f\uff0c\u5982\u679c <code>copy_aux_mem<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code>\uff0c \u5411\u91cf\u5c06\u76f4\u63a5\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff08\u5373\u4e0d\u590d\u5236\uff09; \u8fd9\u66f4\u5feb\uff0c\u4f46\u9664\u975e\u60a8\u77e5\u9053\u81ea\u5df1\u5728\u505a\u4ec0\u4e48\uff0c\u5426\u5219\u53ef\u80fd\u4f1a\u5f88\u5371\u9669\uff01<\/p>\n\n\n\n<p>\u4e25\u683c\u53c2\u6570\u4ec5\u5728 <code>copy_aux_mem<\/code> \u8bbe\u7f6e\u4e3a false \u65f6\u751f\u6548\uff08\u5373\u5411\u91cf\u76f4\u63a5\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff09<br>\u5f53 <code>strict<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code> \u65f6\uff0c\u5411\u91cf\u5c06\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff0c\u76f4\u5230\u5927\u5c0f\u66f4\u6539\u6216\u51fa\u73b0\u6df7\u53e0\u4e8b\u4ef6<br>\u5f53 <code>strict<\/code> \u8bbe\u7f6e\u4e3a <code>true<\/code> \u65f6\uff0c\u5411\u91cf\u5c06\u5728\u5176\u751f\u547d\u5468\u671f\u5185\u7ed1\u5b9a\u5230\u8f85\u52a9\u5b58\u50a8\u5668; \u65e0\u6cd5\u66f4\u6539\u5411\u91cf\u4e2d\u7684\u5143\u7d20\u6570<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vec(const ptr_aux_mem, number_of_elements)<\/code><\/pre>\n\n\n\n<p>\u901a\u8fc7\u4ece\u53ea\u8bfb\u8f85\u52a9\u5b58\u50a8\u5668\u590d\u5236\u6570\u636e\u6765\u521b\u5efa\u5217\u5411\u91cf\uff0c \u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vec::fixed&lt;number_of_elements&gt;<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u5217\u5411\u91cf\uff0c\u5176\u5927\u5c0f\u901a\u8fc7 template \u53c2\u6570\u6307\u5b9a\u3002 \u5411\u91cf\u7684\u5185\u5b58\u5728\u7f16\u8bd1\u65f6\u4fdd\u7559\u3002 \u8fd9\u901a\u5e38\u6bd4\u52a8\u6001\u5185\u5b58\u5206\u914d\u66f4\u5feb\uff0c\u4f46\u4e8b\u540e\u65e0\u6cd5\uff08\u76f4\u63a5\u6216\u95f4\u63a5\uff09\u66f4\u6539\u5411\u91cf\u7684\u5927\u5c0f\u3002<\/p>\n\n\n\n<p>\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u6bcf\u4e2a\u5411\u91cf\u7c7b\u578b\u90fd\u6709\u51e0\u4e2a\u9884\u5b9a\u4e49\u7684 typedef \uff08\u5176\u4e2d\u7c7b\u578b\u4e3a\uff1aUVEC\u3001IVEC\u3001FVEC\u3001VEC\u3001cx_fvec\u3001cx_vec\u4ee5\u53ca\u76f8\u5e94\u7684 COLVEC \u7248\u672c\uff09\u3002 \u9884\u5b9a\u4e49\u7684 typedef \u6307\u5b9a\u8303\u56f4\u4e3a 2 \u5230 9 \u7684\u5411\u91cf\u5927\u5c0f\u3002 typedefs \u662f\u901a\u8fc7\u5c06\u5927\u5c0f\u7684\u5355\u4f4d\u6570\u5f62\u5f0f\u9644\u52a0\u5230\u5411\u91cf\u7c7b\u578b\u6765\u5b9a\u4e49\u7684; \u793a\u4f8b\uff1a<code>vec3<\/code> \u7b49\u6548\u4e8e <code>vec::fixed&lt;3&gt;<\/code>\uff0c \u800c <code>cx_vec4<\/code> \u7b49\u6548\u4e8e <code>cx_vec::fixed&lt;4&gt;<\/code>\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vec::fixed&lt;number_of_elements&gt;(fill_form)<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u5217\u5411\u91cf\uff0c\u5e76\u6839\u636efill_form\u663e\u5f0f\u521d\u59cb\u5316\u5143\u7d20<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vec::fixed&lt;number_of_elements&gt;(const ptr_aux_mem)<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u5217\u5411\u91cf\uff0c\u5176\u5927\u5c0f\u901a\u8fc7 template \u53c2\u6570\u6307\u5b9a; \u6570\u636e\u4ece\u8f85\u52a9\u5185\u5b58\u590d\u5236\uff0c\u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488<\/p>\n\n\n\n<p>\u4f8b\u5b50\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vec x(10);\nvec y(10, fill::ones);\n\nmat A(10, 10, fill::randu);\nvec z = A.col(5); \/\/ extract a column vector<\/code><\/pre>\n\n\n\n<p>\u53e6\u8bf7\u53c2\u9605\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>element initialisation\nMat class\nRow class<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Row<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">rowvec<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">cx_rowvec<\/h2>\n\n\n\n<p>\u884c\u5411\u91cf\u7684\u7c7b\uff08\u5177\u6709\u4e00\u884c\u7684\u5bc6\u96c6\u77e9\u9635\uff09<\/p>\n\n\n\n<p>\u6a21\u677f <code>Row&lt;type&gt;<\/code> \u7c7b\u6d3e\u751f\u81ea <code>Mat&lt;type&gt;<\/code> \u7c7b \u5e76\u7ee7\u627f\u4e86\u5927\u90e8\u5206\u6210\u5458\u51fd\u6570<\/p>\n\n\n\n<p>\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u5b9a\u4e49\u4e86\u4ee5\u4e0b typedef\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rowvec     =  Row&lt;double&gt;\ndrowvec     =  Row&lt;double&gt;\nfrowvec     =  Row&lt;float&gt;\ncx_rowvec     =  Row&lt;cx_double&gt;\ncx_drowvec     =  Row&lt;cx_double&gt;\ncx_frowvec     =  Row&lt;cx_float&gt;\nurowvec     =  Row&lt;uword&gt;\nirowvec     =  Row&lt;sword&gt;<\/code><\/pre>\n\n\n\n<p>\u5728\u672c\u6587\u6863\u4e2d\uff0c\u4e3a\u4e86\u65b9\u4fbf\u8d77\u89c1\uff0c\u4f7f\u7528\u4e86 <code>rowvec<\/code> \u7c7b\u578b; \u53ef\u4ee5\u4f7f\u7528\u5176\u4ed6\u884c\u5411\u91cf\u7c7b\u578b\u6765\u4ee3\u66ff\uff0c\u4f8b\u5982<code>frowvec<\/code><\/p>\n\n\n\n<p>\u4ee5 <code>Mat<\/code> \u4e3a\u8f93\u5165\u7684\u51fd\u6570\u901a\u5e38\u4e5f\u53ef\u4ee5\u4ee5 <code>Row<\/code> \u4e3a\u8f93\u5165; \u4e3b\u8981\u7684\u4f8b\u5916\u662f\u9700\u8981\u5e73\u65b9\u77e9\u9635\u7684\u51fd\u6570<\/p>\n\n\n\n<p>\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rowvec()         \nrowvec(n_elem)       \nrowvec(n_elem, fill_form)       \uff08\u5143\u7d20\u6839\u636e fill_form \u8fdb\u884c\u521d\u59cb\u5316)\nrowvec(size(X))      \nrowvec(size(X), fill_form)      \uff08\u5143\u7d20\u6839\u636e fill_form \u8fdb\u884c\u521d\u59cb\u5316)\nrowvec(rowvec)       \nrowvec(mat)     (std\uff1a\uff1alogic_error \u5982\u679c\u7ed9\u5b9a\u77e9\u9635\u6709\u591a\u884c\uff0c\u5219\u629b\u51fa\u5f02\u5e38\uff09\nrowvec(initializer_list)         \nrowvec(string)      \uff08\u7528\u7a7a\u683c\u5206\u9694\u7684\u5143\u7d20\uff09\nrowvec(std::vector)      \ncx_rowvec(rowvec,rowvec)        \uff08\u7528\u4e8e\u4ece\u4e24\u4e2a\u5b9e\u884c\u5411\u91cf\u4e2d\u6784\u9020\u4e00\u4e2a\u590d\u6570\u884c\u5411\u91cf\uff09<\/code><\/pre>\n\n\n\n<p>\u8b66\u544a\uff1a<br>\u4eceArmadillo 10.5 \u5f00\u59cb\uff0c\u5143\u7d20\u9ed8\u8ba4\u521d\u59cb\u5316\u4e3a\u96f6<br>\u5728 Armadillo 10.4 \u53ca\u66f4\u65e9\u7248\u672c\u4e2d\uff0c\u9664\u975e\u6307\u5b9a<code>fill_form<\/code>\u5426\u5219\u4e0d\u4f1a\u521d\u59cb\u5316\u5143\u7d20; \u5373\uff0c\u5982\u679c\u4e0d\u6307\u5b9a<code>fill_form<\/code>\uff0c\u5143\u7d20\u53ef\u80fd\u5305\u542b\u5783\u573e\u503c\uff0c\u5305\u62ec <code>NaN<\/code>;\u6709\u5173<code>fill_form<\/code>\u7684\u8be6\u7ec6\u4fe1\u606f\uff0c\u8bf7\u53c2\u9605 <code>Mat<\/code> \u7c7b<\/p>\n\n\n\n<p>\u9ad8\u7ea7\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rowvec(ptr_aux_mem, number_of_elements, copy_aux_mem = true, strict = false)<\/code><\/pre>\n\n\n\n<p>\u4f7f\u7528\u6765\u81ea\u53ef\u5199\u8f85\u52a9\uff08\u5916\u90e8\uff09\u5b58\u50a8\u5668\u7684\u6570\u636e\u521b\u5efa\u884c\u5411\u91cf\uff0c\u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5b58\u50a8\u5668\u7684\u6307\u9488\u3002 \u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u5411\u91cf\u5206\u914d\u81ea\u5df1\u7684\u5185\u5b58\u5e76\u4ece\u8f85\u52a9\u5185\u5b58\u4e2d\u590d\u5236\u6570\u636e\uff08\u4e3a\u4e86\u5b89\u5168\u8d77\u89c1\uff09\u3002 \u4f46\u662f\uff0c\u5982\u679c <code>copy_aux_mem<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code>\uff0c \u5411\u91cf\u5c06\u76f4\u63a5\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff08\u5373\u4e0d\u590d\u5236\uff09; \u8fd9\u66f4\u5feb\uff0c\u4f46\u9664\u975e\u60a8\u77e5\u9053\u81ea\u5df1\u5728\u505a\u4ec0\u4e48\uff0c\u5426\u5219\u53ef\u80fd\u4f1a\u5f88\u5371\u9669\uff01<\/p>\n\n\n\n<p>\u4e25\u683c\u53c2\u6570\u4ec5\u5728 <code>copy_aux_mem<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code> \u65f6\u751f\u6548\uff08\u5373\u5411\u91cf\u76f4\u63a5\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff09<br>\u5f53 <code>strict<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code> \u65f6\uff0c\u5411\u91cf\u5c06\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff0c\u76f4\u5230\u5927\u5c0f\u66f4\u6539\u6216\u51fa\u73b0\u6df7\u53e0\u4e8b\u4ef6<br>\u5f53 <code>strict<\/code> \u8bbe\u7f6e\u4e3a <code>true<\/code> \u65f6\uff0c\u5411\u91cf\u5c06\u5728\u5176\u751f\u547d\u5468\u671f\u5185\u7ed1\u5b9a\u5230\u8f85\u52a9\u5b58\u50a8\u5668; \u65e0\u6cd5\u66f4\u6539\u5411\u91cf\u4e2d\u7684\u5143\u7d20\u6570<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rowvec(const ptr_aux_mem, number_of_elements)<\/code><\/pre>\n\n\n\n<p>\u901a\u8fc7\u4ece\u53ea\u8bfb\u8f85\u52a9\u5b58\u50a8\u5668\u590d\u5236\u6570\u636e\u6765\u521b\u5efa\u884c\u5411\u91cf\uff0c \u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rowvec::fixed&lt;number_of_elements&gt;<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u884c\u5411\u91cf\uff0c\u5176\u5927\u5c0f\u901a\u8fc7 template \u53c2\u6570\u6307\u5b9a\u3002 \u5411\u91cf\u7684\u5185\u5b58\u5728\u7f16\u8bd1\u65f6\u4fdd\u7559\u3002 \u8fd9\u901a\u5e38\u6bd4\u52a8\u6001\u5185\u5b58\u5206\u914d\u66f4\u5feb\uff0c\u4f46\u4e8b\u540e\u65e0\u6cd5\uff08\u76f4\u63a5\u6216\u95f4\u63a5\uff09\u66f4\u6539\u5411\u91cf\u7684\u5927\u5c0f\u3002<\/p>\n\n\n\n<p>\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u6bcf\u4e2a\u5411\u91cf\u7c7b\u578b\u90fd\u6709\u51e0\u4e2a\u9884\u5b9a\u4e49\u7684 typedef \uff08\u5176\u4e2d\u7c7b\u578b\u4e3a\uff1a<code>urowvec<\/code>\u3001<code>irowvec<\/code>\u3001<code>frowvec<\/code>\u3001<code>rowvec<\/code>\u3001<code>cx_frowvec<\/code>\u3001<code>cx_rowvec<\/code>\uff09\u3002 \u9884\u5b9a\u4e49\u7684 typedef \u6307\u5b9a\u8303\u56f4\u4e3a 2 \u5230 9 \u7684\u5411\u91cf\u5927\u5c0f\u3002 typedefs \u662f\u901a\u8fc7\u5c06\u5927\u5c0f\u7684\u5355\u4f4d\u6570\u5f62\u5f0f\u9644\u52a0\u5230\u5411\u91cf\u7c7b\u578b\u6765\u5b9a\u4e49\u7684; \u793a\u4f8b\uff1a<code>rowvec3<\/code> \u7b49\u6548\u4e8e <code>rowvec::fixed&lt;3&gt;<\/code>\uff0c \u800c <code>cx_rowvec4<\/code> \u7b49\u6548\u4e8e <code>cx_rowvec::fixed&lt;4&gt;<\/code>\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rowvec::fixed&lt;number_of_elements&gt;(fill_form)<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u884c\u5411\u91cf\uff0c\u5e76\u6839\u636e<code>fill_form<\/code>\u663e\u5f0f\u521d\u59cb\u5316\u5143\u7d20<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rowvec::fixed&lt;number_of_elements&gt;(const ptr_aux_mem)<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u884c\u5411\u91cf\uff0c\u5176\u5927\u5c0f\u901a\u8fc7 template \u53c2\u6570\u6307\u5b9a; \u6570\u636e\u4ece\u8f85\u52a9\u5185\u5b58\u590d\u5236\uff0c\u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488<\/p>\n\n\n\n<p>\u4f8b\u5b50\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rowvec x(10);\nrowvec y(10, fill::ones);\n\nmat    A(10, 10, fill::randu);\nrowvec z = A.row(5); \/\/ extract a row vector<\/code><\/pre>\n\n\n\n<p>\u53e6\u8bf7\u53c2\u9605\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>element initialisation\nMat class\nCol class<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Cube<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">cube<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">cx_cube<\/h2>\n\n\n\n<p>\u7acb\u65b9\u4f53\uff08\u51c6\u4e09\u9636\u5f20\u91cf\uff09\u7684\u7c7b\uff0c\u4e5f\u79f0\u4e3a\u201c\u4e09\u7ef4\u77e9\u9635\u201d<\/p>\n\n\n\n<p>\u6570\u636e\u5b58\u50a8\u4e3a\u4e00\u7ec4\u8fde\u7eed\u5b58\u50a8\u5728\u5185\u5b58\u4e2d\u7684\u5207\u7247\uff08\u77e9\u9635\uff09; \u5728\u6bcf\u4e2a\u5207\u7247\u4e2d\uff0c\u5143\u7d20\u4ee5\u5217\u4f18\u5148\u987a\u5e8f\uff08\u5373\u9010\u5217\uff09\u5b58\u50a8<\/p>\n\n\n\n<p>\u6839\u591a\u7ef4\u6570\u636e\u96c6\u7c7b\u662f <code>Cube&lt;type&gt;<\/code>\uff0c\u5176\u4e2d <code>type<\/code> \u662f\u4ee5\u4e0b\u9879\u4e4b\u4e00\uff1a<br><code>float<\/code>\u3001<code>double<\/code>\u3001<code>std::complex&lt;float&gt;<\/code>\u3001<code>std::complex&lt;double&gt;short<\/code>\u3001<code>int<\/code>\u3001<code>long<\/code> \u548c\u65e0\u7b26\u53f7\u7248\u672c\u7684 <code>short<\/code>\u3001<code>int<\/code>\u3001<code>long<\/code><\/p>\n\n\n\n<p>\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u5b9a\u4e49\u4e86\u4ee5\u4e0b typedef\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cube     =  Cube&lt;double&gt;\ndcube     =  Cube&lt;double&gt;\nfcube     =  Cube&lt;float&gt;\ncx_cube     =  Cube&lt;cx_double&gt;\ncx_dcube     =  Cube&lt;cx_double&gt;\ncx_fcube     =  Cube&lt;cx_float&gt;\nucube     =  Cube&lt;uword&gt;\nicube     =  Cube&lt;sword&gt;<\/code><\/pre>\n\n\n\n<p>\u5728\u672c\u6587\u6863\u4e2d\uff0c\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u4f7f\u7528\u4e86\u591a\u7ef4\u6570\u636e\u96c6\u7c7b\u578b; \u53ef\u4ee5\u4f7f\u7528\u5176\u4ed6\u7c7b\u578b\u6765\u4ee3\u66ff\uff0c\u4f8b\u5982<code>fcube<\/code><\/p>\n\n\n\n<p>\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cube()\ncube(n_rows, n_cols, n_slices)       \ncube(n_rows, n_cols, n_slices, fill_form)       \uff08\u5143\u7d20\u6839\u636e fill_form \u8fdb\u884c\u521d\u59cb\u5316)\ncube(size(X))        \ncube(size(X), fill_form)        \uff08\u5143\u7d20\u6839\u636e fill_form \u8fdb\u884c\u521d\u59cb\u5316)\ncube(cube)       \ncx_cube(cube, cube)     \uff08\u7528\u4e8e\u4ece\u4e24\u4e2a\u5b9e\u7acb\u65b9\u4f53\u4e2d\u6784\u9020\u4e00\u4e2a\u590d\u6742\u7684\u7acb\u65b9\u4f53\uff09<\/code><\/pre>\n\n\n\n<p>\u8fd9\u4e9b\u5143\u7d20\u53ef\u4ee5\u5728\u6784\u9020\u8fc7\u7a0b\u4e2d\u901a\u8fc7\u6307\u5b9a <code>fill_form<\/code> \u6765\u663e\u5f0f\u521d\u59cb\u5316\uff0c \u8fd9\u662f\u5176\u4e2d\u4e4b\u4e00\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>fill::zeros \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a 0\nfill::ones  \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a 1\nfill::randu \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a &#91;0,1] \u533a\u95f4\u5185\u5747\u5300\u5206\u5e03\u4e2d\u7684\u968f\u673a\u503c\nfill::randn \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a\u5747\u503c\u548c\u5355\u4f4d\u65b9\u5dee\u4e3a\u96f6\u7684\u6b63\u6001\/\u9ad8\u65af\u5206\u5e03\u4e2d\u7684\u968f\u673a\u503c\nfill::value(scalar) \u21a6   \u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a\u6307\u5b9a\u7684\u6807\u91cf\nfill::none  \u21a6   \u4e0d\u8981\u521d\u59cb\u5316\u5143\u7d20<\/code><\/pre>\n\n\n\n<p>\u8b66\u544a\uff1a<br>\u4eceArmadillo 10.5 \u5f00\u59cb\uff0c\u5143\u7d20\u9ed8\u8ba4\u521d\u59cb\u5316\u4e3a\u96f6<br>\u5728 Armadillo 10.4 \u53ca\u66f4\u65e9\u7248\u672c\u4e2d\uff0c\u9664\u975e\u6307\u5b9a<code>fill_form<\/code>\u5426\u5219\u4e0d\u4f1a\u521d\u59cb\u5316\u5143\u7d20; \u5373\u3002\u5982\u679c\u4e0d\u6307\u5b9a<code>fill_form<\/code>\uff0c\u5143\u7d20\u53ef\u80fd\u5305\u542b\u5783\u573e\u503c\uff0c\u5305\u62ec NaN<\/p>\n\n\n\n<p>\u6bcf\u4e2a\u591a\u7ef4\u6570\u636e\u96c6\u5b9e\u4f8b\u90fd\u4f1a\u81ea\u52a8\u5206\u914d\u548c\u91ca\u653e\u5185\u90e8\u5b58\u50a8\u5668\u3002 \u4e00\u65e6\u5b9e\u4f8b\u8d85\u51fa\u8303\u56f4\uff0c\u591a\u7ef4\u6570\u636e\u96c6\u5b9e\u4f8b\u4f7f\u7528\u7684\u6240\u6709\u5185\u90e8\u5206\u914d\u7684\u5185\u5b58\u90fd\u4f1a\u81ea\u52a8\u91ca\u653e\u3002 \u4f8b\u5982\uff0c\u5982\u679c\u5728\u51fd\u6570\u4e2d\u58f0\u660e\u4e86 cube \u7684\u5b9e\u4f8b\uff0c\u5b83\u5c06\u5728\u51fd\u6570\u7ed3\u675f\u65f6\u81ea\u52a8\u9500\u6bc1\u3002 \u8981\u5728\u4efb\u4f55\u65f6\u5019\u5f3a\u5236\u91ca\u653e\u5185\u5b58\uff0c\u8bf7\u4f7f\u7528 <code>.reset()<\/code>;\u8bf7\u6ce8\u610f\uff0c\u5728\u6b63\u5e38\u4f7f\u7528\u4e2d\uff0c\u8fd9\u4e0d\u662f\u5fc5\u9700\u7684\u3002<\/p>\n\n\n\n<p>\u9ad8\u7ea7\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cube::fixed&lt;n_rows, n_cols, n_slices&gt;<\/code><\/pre>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u56fa\u5b9a\u5927\u5c0f\u7684\u591a\u7ef4\u6570\u636e\u96c6\uff0c\u5176\u5927\u5c0f\u901a\u8fc7\u6a21\u677f\u53c2\u6570\u6307\u5b9a\u3002 \u591a\u7ef4\u6570\u636e\u96c6\u7684\u5185\u5b58\u5728\u7f16\u8bd1\u65f6\u4fdd\u7559\u3002 \u8fd9\u901a\u5e38\u6bd4\u52a8\u6001\u5185\u5b58\u5206\u914d\u66f4\u5feb\uff0c\u4f46\u4e4b\u540e\u65e0\u6cd5\uff08\u76f4\u63a5\u6216\u95f4\u63a5\uff09\u66f4\u6539\u591a\u7ef4\u6570\u636e\u96c6\u7684\u5927\u5c0f\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cube(ptr_aux_mem, n_rows, n_cols, n_slices, copy_aux_mem = true, strict = false)<\/code><\/pre>\n\n\n\n<p>\u4f7f\u7528\u53ef\u5199\u8f85\u52a9\uff08\u5916\u90e8\uff09\u5b58\u50a8\u5668\u4e2d\u7684\u6570\u636e\u521b\u5efa\u591a\u7ef4\u6570\u636e\u96c6\uff0c\u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488\u3002 \u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u591a\u7ef4\u6570\u636e\u96c6\u5206\u914d\u81ea\u5df1\u7684\u5185\u5b58\uff0c\u5e76\u4ece\u8f85\u52a9\u5185\u5b58\u4e2d\u590d\u5236\u6570\u636e\uff08\u4e3a\u4e86\u5b89\u5168\u8d77\u89c1\uff09\u3002 \u4f46\u662f\uff0c\u5982\u679c <code>copy_aux_mem<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code>\uff0c \u7acb\u65b9\u4f53\u5c06\u76f4\u63a5\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff08\u5373\u4e0d\u590d\u5236\uff09; \u8fd9\u66f4\u5feb\uff0c\u4f46\u9664\u975e\u60a8\u77e5\u9053\u81ea\u5df1\u5728\u505a\u4ec0\u4e48\uff0c\u5426\u5219\u53ef\u80fd\u4f1a\u5f88\u5371\u9669\uff01<\/p>\n\n\n\n<p><code>strict<\/code> \u53c2\u6570\u4ec5\u5728 <code>copy_aux_mem<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code> \u65f6\u751f\u6548\uff08\u5373 Cube \u76f4\u63a5\u4f7f\u7528\u8f85\u52a9\u5b58\u50a8\u5668\uff09<br>\u5f53 <code>strict<\/code> \u8bbe\u7f6e\u4e3a <code>false<\/code> \u65f6\uff0c\u591a\u7ef4\u6570\u636e\u96c6\u5c06\u4f7f\u7528\u8f85\u52a9\u5185\u5b58\uff0c\u76f4\u5230\u5927\u5c0f\u66f4\u6539\u6216\u51fa\u73b0\u522b\u540d\u4e8b\u4ef6<br>\u5f53 <code>strict<\/code> \u8bbe\u7f6e\u4e3a <code>true<\/code> \u65f6\uff0c\u591a\u7ef4\u6570\u636e\u96c6\u5c06\u5728\u5176\u751f\u5b58\u671f\u5185\u7ed1\u5b9a\u5230\u8f85\u52a9\u5185\u5b58; \u65e0\u6cd5\u66f4\u6539\u591a\u7ef4\u6570\u636e\u96c6\u4e2d\u7684\u5143\u7d20\u6570<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cube(const ptr_aux_mem, n_rows, n_cols, n_slices)<\/code><\/pre>\n\n\n\n<p>\u901a\u8fc7\u4ece\u53ea\u8bfb\u8f85\u52a9\u5b58\u50a8\u5668\u590d\u5236\u6570\u636e\u6765\u521b\u5efa\u591a\u7ef4\u6570\u636e\u96c6\uff0c \u5176\u4e2d <code>ptr_aux_mem<\/code> \u662f\u6307\u5411\u5185\u5b58\u7684\u6307\u9488<\/p>\n\n\n\n<p>\u4f8b\u5b50\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cube x(1, 2, 3);\ncube y(4, 5, 6, fill::randu);\n\nmat A = y.slice(1);  \/\/ extract a slice from the cube\n                     \/\/ (each slice is a matrix)\n\nmat B(4, 5, fill::randu);\ny.slice(2) = B;     \/\/ set a slice in the cube\n\ncube q = y + y;     \/\/ cube addition\ncube r = y % y;     \/\/ element-wise cube multiplication\n\ncube::fixed&lt;4,5,6&gt; f;\nf.ones();<\/code><\/pre>\n\n\n\n<p>\u7b14\u8bb0\uff1a<\/p>\n\n\n\n<p>\u6bcf\u4e2a\u7acb\u65b9\u4f53\u5207\u7247\u90fd\u53ef\u4ee5\u89e3\u91ca\u4e3a\u4e00\u4e2a\u77e9\u9635\uff0c\u56e0\u6b64\u5c06 Mat \u4f5c\u4e3a\u8f93\u5165\u7684\u51fd\u6570\u901a\u5e38\u4e5f\u53ef\u4ee5\u5c06\u7acb\u65b9\u4f53\u5207\u7247\u4f5c\u4e3a\u8f93\u5165<\/p>\n\n\n\n<p>\u65e0\u6cd5\u66f4\u6539\u5355\u4e2a\u5207\u7247\u7684\u5927\u5c0f\u3002 \u4f8b\u5982\uff0c\u4ee5\u4e0b\u64cd\u4f5c\u5c06\u4e0d\u8d77\u4f5c\u7528\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cube c(5,6,7);\nc.slice(0) = randu&lt;mat&gt;(10,20); \/\/ wrong size<\/code><\/pre>\n\n\n\n<p>\u53e6\u8bf7\u53c2\u9605\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cube attributes\naccessing elements\nmath &amp; relational operators\nsubcube views and slices\nsaving &amp; loading cubes\nelement iterators\nfield class\nMat class<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">field<\/h2>\n\n\n\n<p>\u7528\u4e8e\u5728\u77e9\u9635\u5f0f\u6216\u7acb\u65b9\u4f53\u5f0f\u5e03\u5c40\u4e2d\u5b58\u50a8\u4efb\u610f\u5bf9\u8c61\u7684\u7c7b<\/p>\n\n\n\n<p>\u6709\u70b9\u7c7b\u4f3c\u4e8e\u77e9\u9635\u6216\u7acb\u65b9\u4f53\uff0c\u4f46\u4e0d\u662f\u6bcf\u4e2a\u5143\u7d20\u90fd\u662f\u6807\u91cf\uff0c \u6bcf\u4e2a\u5143\u7d20\u53ef\u4ee5\u662f\u5411\u91cf\u3001\u77e9\u9635\u6216\u7acb\u65b9\u4f53<\/p>\n\n\n\n<p>\u6bcf\u4e2a\u5143\u7d20\u53ef\u4ee5\u5177\u6709\u4efb\u610f\u5927\u5c0f\uff08\u4f8b\u5982\uff0c\u5728\u77e9\u9635\u5b57\u6bb5\u4e2d\uff0c\u6bcf\u4e2a\u77e9\u9635\u53ef\u4ee5\u5177\u6709\u552f\u4e00\u7684\u5927\u5c0f\uff09<\/p>\n\n\n\n<p>\u6784\u9020\u51fd\u6570\uff0c\u5176\u4e2d <code>object_type<\/code> \u662f\u53e6\u4e00\u4e2a\u7c7b\uff0c\u4f8b\u5982\u3002<code>vec<\/code>\u3001<code>mat<\/code>\u3001<code>std::string<\/code> \u7b49\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>field&lt;object_type&gt;()\nfield&lt;object_type&gt;(n_elem)\nfield&lt;object_type&gt;(n_rows, n_cols)\nfield&lt;object_type&gt;(n_rows, n_cols, n_slices)\nfield&lt;object_type&gt;(size(X))\nfield&lt;object_type&gt;(field&lt;object_type&gt;)<\/code><\/pre>\n\n\n\n<p>\u8b66\u544a: \u8981\u5b58\u50a8\u4e00\u7ec4\u76f8\u540c\u5927\u5c0f\u7684\u77e9\u9635\uff0c<code>Cube<\/code> \u7c7b\u6548\u7387\u66f4\u9ad8<\/p>\n\n\n\n<p>\u4f8b\u5b50:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mat A = randn(2,3);\nmat B = randn(4,5);\n\nfield&lt;mat&gt; F(2,1);\nF(0,0) = A;\nF(1,0) = B; \n\nF.print(\"F:\");\n\nF.save(\"mat_field\");<\/code><\/pre>\n\n\n\n<p>\u53e6\u8bf7\u53c2\u9605\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>field attributes\nsubfield views\nsaving\u2009\/\u2009loading fields\nCube class<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">SpMat<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">sp_mat<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">sp_cx_mat<\/h2>\n\n\n\n<p>\u7a00\u758f\u77e9\u9635\u7684\u7c7b;\u7528\u4e8e\u5b58\u50a8\u5927\u578b\u77e9\u9635\uff0c\u5176\u4e2d\u5927\u591a\u6570\u5143\u7d20\u4e3a\u96f6<\/p>\n\n\n\n<p>\u6839\u7a00\u758f\u77e9\u9635\u7c7b\u662f <code>SpMat&lt;type&gt;<\/code>\uff0c\u5176\u4e2d <code>type<\/code> \u662f\u4ee5\u4e0b\u9879\u4e4b\u4e00\uff1a<br><code>float<\/code>\u3001<code>double<\/code>\u3001<code>std\uff1a\uff1acomplex&lt;float&gt;<\/code>\u3001<code>std\uff1a\uff1acomplex&lt;double&gt;<\/code>\u3001<code>short<\/code>\u3001<code>int<\/code>\u3001<code>long<\/code> \u548c \u65e0\u7b26\u53f7\u7248\u672c\u7684<code>short<\/code>\u3001<code>int<\/code>\u3001<code>long<\/code><\/p>\n\n\n\n<p>\u4e3a\u65b9\u4fbf\u8d77\u89c1\uff0c\u5b9a\u4e49\u4e86\u4ee5\u4e0b typedef\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sp_mat     =  SpMat&lt;double&gt;\nsp_dmat     =  SpMat&lt;double&gt;\nsp_fmat     =  SpMat&lt;float&gt;\nsp_cx_mat     =  SpMat&lt;cx_double&gt;\nsp_cx_dmat     =  SpMat&lt;cx_double&gt;\nsp_cx_fmat     =  SpMat&lt;cx_float&gt;\nsp_umat     =  SpMat&lt;uword&gt;\nsp_imat     =  SpMat&lt;sword&gt;<\/code><\/pre>\n\n\n\n<p>\u5728\u672c\u6587\u6863\u4e2d\uff0c\u4e3a\u4e86\u65b9\u4fbf\u8d77\u89c1\uff0c\u4f7f\u7528\u4e86<code>sp_mat<\/code>\u7c7b\u578b; \u53ef\u4ee5\u4f7f\u7528\u5176\u4ed6\u7c7b\u578b\u6765\u4ee3\u66ff\uff0c\u4f8b\u5982<code>sp_fmat<\/code><\/p>\n\n\n\n<p>\u6784\u9020\u51fd\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sp_mat()         \nsp_mat(n_rows, n_cols)       \nsp_mat(size(X))      \nsp_mat(sp_mat)       \nsp_mat(mat)     \uff08\u7528\u4e8e\u5c06\u5bc6\u96c6\u77e9\u9635\u8f6c\u6362\u4e3a\u7a00\u758f\u77e9\u9635\uff09\nsp_cx_mat(sp_mat,sp_mat)        \uff08\u7528\u4e8e\u4ece\u4e24\u4e2a\u5b9e\u6570\u77e9\u9635\u4e2d\u6784\u9020\u4e00\u4e2a\u590d\u77e9\u9635\uff09<\/code><\/pre>\n\n\n\n<p>\u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u6240\u6709\u5143\u7d20\u90fd\u88ab\u89c6\u4e3a\u96f6\uff08\u5373\u77e9\u9635\u521d\u59cb\u5316\u4e3a\u5305\u542b\u96f6\uff09<\/p>\n\n\n\n<p>\u975e\u96f6\u5143\u7d20\u4ee5\u538b\u7f29\u7a00\u758f\u5217 \uff08CSC\uff09 \u683c\u5f0f\u5b58\u50a8\uff08\u5373\u5217\u4f18\u5148\u6392\u5e8f\uff09; \u4ece\u4e0d\u5b58\u50a8\u96f6\u503c\u5143\u7d20<\/p>\n\n\n\n<p>\u6b64\u7c7b\u7684\u884c\u4e3a\u65b9\u5f0f\u4e0e\u5bc6\u96c6\u77e9\u9635 Mat \u7c7b\u7c7b\u4f3c; \u4f46\u662f\uff0c\u6545\u610f\u7701\u7565\u4e86\u5c06\u6240\u6709\u5143\u7d20\u8bbe\u7f6e\u4e3a\u975e\u96f6\u503c\u7684\u6210\u5458\u51fd\u6570\uff08\u56e0\u6b64\u5bf9\u7a00\u758f\u77e9\u9635\u6ca1\u6709\u610f\u4e49\uff09; \u7701\u7565\u51fd\u6570\u793a\u4f8b\uff1a<code>.fill()<\/code>\u3001<code>.ones()<\/code>\u3001<code>+=<\/code> \u6807\u91cf\u7b49\u3002<\/p>\n\n\n\n<p>\u6ce8\u610f\uff1a\u7a00\u758f\u77e9\u9635\u7c7b\u4e0d\u9002\u7528\u4e8e\u5c0f\u77e9\u9635\uff08\u4f8b\u5982\uff0c\u5927\u5c0f\u2264 100&#215;100\uff09\uff0c\u56e0\u4e3a\u538b\u7f29\u5b58\u50a8\u683c\u5f0f\u7684\u5f00\u9500; \u5bf9\u4e8e\u5c0f\u77e9\u9635\uff0c\u5373\u4f7f\u5927\u591a\u6570\u5143\u7d20\u4e3a\u96f6\uff0c\u4e5f\u4f7f\u7528 Mat \u7c7b<\/p>\n\n\n\n<p>\u6279\u91cf\u63d2\u5165\u6784\u9020\u51fd\u6570\uff1a<br>\u5f62\u5f0f1\uff1a<code>sp_mat(locations, values, sort_locations\u2009=\u2009true)<\/code><br>\u5f62\u5f0f 2\uff1a<code>sp_mat(locations, values, n_rows, n_cols, sort_locations\u2009=\u2009true, check_for_zeros\u2009=\u2009true)<\/code><br>\u5f62\u5f0f 3\uff1a<code>sp_mat(add_values, locations, values, n_rows, n_cols, sort_locations\u2009=\u2009true, check_for_zeros\u2009=\u2009true)<\/code><br>\u5f62\u5f0f 4\uff1a<code>sp_mat(rowind, colptr, values, n_rows, n_cols, check_for_zeros\u2009=\u2009true)<\/code><\/p>\n\n\n\n<p>\u5bf9\u4e8e\u5f62\u5f0f 1\u30012\u30013\uff0c<code>locations<\/code> \u662f <code>umat<\/code> \u7c7b\u578b\u7684\u81f4\u5bc6\u77e9\u9635\uff0c\u5927\u5c0f\u4e3a <code>2 x N<\/code>\uff0c\u5176\u4e2d N \u662f\u8981\u63d2\u5165\u7684\u503c\u7684\u6570\u91cf; \u7b2c i \u4e2a\u5143\u7d20\u7684\u4f4d\u7f6e\u7531\u4f4d\u7f6e\u77e9\u9635\u7684\u7b2c i \u5217\u7684\u5185\u5bb9\u6307\u5b9a\uff0c \u5176\u4e2d\u884c\u4f4d\u4e8e <code>locations(0\uff0ci)<\/code> \u4e2d\uff0c\u5217\u4f4d\u4e8e <code>locations(1\uff0ci)<\/code> \u4e2d<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u5f62\u5f0f 4\uff0c<code>rowind<\/code> \u662f <code>uvec<\/code> \u7c7b\u578b\u7684\u5bc6\u96c6\u5217\u5411\u91cf\uff0c\u5305\u542b\u8981\u63d2\u5165\u7684\u503c\u7684\u884c\u7d22\u5f15\uff0c colptr \u662f UVEC \u7c7b\u578b\u7684\u5bc6\u96c6\u5217\u5411\u91cf\uff08\u957f\u5ea6\u4e3a <code>n_cols + 1<\/code>\uff09\uff0c\u5305\u542b\u5bf9\u5e94\u4e8e\u65b0\u5217\u5f00\u5934\u7684\u503c\u7684\u7d22\u5f15; \u5411\u91cf\u5bf9\u5e94\u4e8e\u538b\u7f29\u7a00\u758f\u5217\u683c\u5f0f\u4f7f\u7528\u7684\u6570\u7ec4; \u6b64\u8868\u5355\u53ef\u7528\u4e8e\u4ece\u5176\u4ed6 CSC \u7a00\u758f\u77e9\u9635\u5bb9\u5668\u590d\u5236\u6570\u636e<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u6240\u6709\u5f62\u5f0f\uff0cvalues \u662f\u5305\u542b\u8981\u63d2\u5165\u7684\u503c\u7684\u5bc6\u96c6\u5217\u5411\u91cf; \u5b83\u5fc5\u987b\u5177\u6709\u4e0e\u7a00\u758f\u77e9\u9635\u76f8\u540c\u7684\u5143\u7d20\u7c7b\u578b\u3002 \u5bf9\u4e8e\u8868\u5355 1 \u548c 2\uff0c<code>values[i]<\/code> \u4e2d\u7684\u503c\u5c06\u63d2\u5165\u5230\u4f4d\u7f6e\u77e9\u9635\u7684\u7b2c i \u5217\u6307\u5b9a\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u5f62\u5f0f 3\uff0c<code>add_values<\/code> \u8981\u4e48\u662f <code>true<\/code> \u8981\u4e48\u662f <code>false<\/code>;\u8bbe\u7f6e\u4e3a <code>true<\/code> \u65f6\uff0c\u5141\u8bb8\u76f8\u540c\u7684\u4f4d\u7f6e\uff0c\u5e76\u6dfb\u52a0\u76f8\u540c\u4f4d\u7f6e\u7684\u503c<\/p>\n\n\n\n<p>\u6784\u9020\u77e9\u9635\u7684\u5927\u5c0f\u4e3a \u6839\u636e\u4f4d\u7f6e\u77e9\u9635\uff08\u8868\u5355 1\uff09\u4e2d\u7684\u6700\u5927\u4f4d\u7f6e\u81ea\u52a8\u786e\u5b9a\uff0c \u6216 \u901a\u8fc7<code>n_rows<\/code>\u548c<code>n_cols<\/code>\u624b\u52a8\u6307\u5b9a\uff08\u5f62\u5f0f 2\u30013\u30014\uff09<\/p>\n\n\n\n<p>\u5982\u679c<code>sort_locations<\/code>\u8bbe\u7f6e\u4e3a <code>false<\/code>\uff0c\u5219\u5047\u5b9a\u4f4d\u7f6e\u77e9\u9635\u5305\u542b\u5df2\u6839\u636e\u5217\u4e3b\u8981\u6392\u5e8f\u6392\u5e8f\u7684\u4f4d\u7f6e;\u9664\u975e\u60a8\u77e5\u9053\u81ea\u5df1\u5728\u505a\u4ec0\u4e48\uff0c\u5426\u5219\u4e0d\u8981\u5c06\u5176\u8bbe\u7f6e\u4e3a <code>false<\/code>\uff01<\/p>\n\n\n\n<p>\u5982\u679c<code>check_for_zeros<\/code>\u8bbe\u7f6e\u4e3a <code>false<\/code>\uff0c\u5219\u5047\u5b9a\u503c\u5411\u91cf\u4e0d\u5305\u542b\u96f6\u503c;\u9664\u975e\u60a8\u77e5\u9053\u81ea\u5df1\u5728\u505a\u4ec0\u4e48\uff0c\u5426\u5219\u4e0d\u8981\u5c06\u5176\u8bbe\u7f6e\u4e3a false\uff01<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u64cd\u4f5c\u548c\u51fd\u6570\u7684\u5b50\u96c6\u53ef\u7528\u4e8e\u7a00\u758f\u77e9\u9635\uff1a<br>\u57fa\u672c\u7b97\u672f\u8fd0\u7b97\uff08\u5982\u52a0\u6cd5\u548c\u4e58\u6cd5\uff09<br>\u5b50\u77e9\u9635\u89c6\u56fe\uff1a<code>X.cols(vector_of_column_indices)<\/code> \u7684\u5927\u591a\u6570\u8fde\u7eed\u5f62\u5f0f\u548c\u975e\u8fde\u7eed\u5f62\u5f0f<br>\u5bf9\u89d2\u7ebf\u89c6\u56fe<br>\u4fdd\u5b58\u548c\u52a0\u8f7d\uff08\u4f7f\u7528 <code>arma_binary<\/code>\u3001<code>coord_ascii<\/code> \u548c csv_ascii \u683c\u5f0f\uff09<br>\u5143\u7d20\u51fd\u6570\uff1a<code>abs()<\/code>\u3001<code>cbrt()<\/code>\u3001<code>ceil()<\/code>\u3001<code>conj()<\/code>\u3001<code>floor()<\/code>\u3001<code>imag()<\/code>\u3001<code>real()<\/code>\u3001<code>round()<\/code>\u3001<code>sign()<\/code>\u3001<code>sqrt()<\/code>\u3001<code>square()<\/code>\u3001<code>trunc()<\/code><br>\u77e9\u9635\u7684\u6807\u91cf\u51fd\u6570\uff1a<code>accu()<\/code>\u3001<code>as_scalar()<\/code>\u3001<code>dot()<\/code>\u3001<code>norm()<\/code>\u3001<code>norm2est()<\/code>\u3001<code>trace()<\/code><br>\u77e9\u9635\u7684\u5411\u91cf\u503c\u51fd\u6570\uff1a<code>diagvec()<\/code>\u3001<code>min()<\/code>\u3001<code>max()<\/code>\u3001<code>nonzeros()<\/code>\u3001<code>sum()<\/code>\u3001<code>mean()<\/code>\u3001<code>var()<\/code>\u3001<code>vecnorm()<\/code>\u3001<code>vectorise()<\/code><br>\u77e9\u9635\u7684\u77e9\u9635\u503c\u51fd\u6570\uff1a <code>clamp()<\/code>\uff0c <code>diagmat()<\/code>\uff0c <code>spdiags()<\/code>\uff0c <code>flipud()\/fliplr()<\/code>\uff0c <code>join_rows()<\/code>\uff0c <code>join_cols()<\/code>\uff0c <code>kron()<\/code>\uff0c <code>normalise()<\/code>\uff0c <code>repelem()<\/code>\uff0c <code>repmat()<\/code>\uff0c <code>reshape()<\/code>\uff0c <code>resize()<\/code>\uff0c <code>reverse()<\/code>\uff0c <code>shift()<\/code>\uff0c <code>symmatu()\/symmatl()<\/code>\uff0c <code>trimatu()\/trimatl()<\/code>\uff0c <code>.t()<\/code>\u3001<code>trans()<\/code><br>\u751f\u6210\u77e9\u9635\uff1a<code>speye()<\/code>\u3001<code>spones()<\/code>\u3001<code>sprandu()<\/code>\u3001<code>sprandn()<\/code>\u3001<code>zeros()<\/code><br>\u7279\u5f81\u5206\u89e3\u548c SVD\uff1a<code>eigs_sym()<\/code>\u3001<code>eigs_gen()<\/code>\u3001<code>svds()<\/code><br>\u7a00\u758f\u7ebf\u6027\u7cfb\u7edf\u7684\u89e3\uff1a<code>spsolve()<\/code><br>\u5176\u4ed6\uff1a<code>approx_equal()<\/code>\u3001\u5143\u7d20\u8bbf\u95ee\u3001\u5143\u7d20\u8fed\u4ee3\u5668\u3001<code>.as_col()\/.as_row()<\/code>\u3001<code>.for_each()<\/code>\u3001<code>.print()<\/code>\u3001<code>.clean()<\/code>\u3001<code>.replace()<\/code>\u3001<code>.transform()<\/code>\u3001<code>.is_finite()<\/code>\u3001<code>.is_symmetric()<\/code>\u3001<code>.is_hermitian()<\/code>\u3001<code>.is_trimatu()<\/code>\u3001<code>.is_trimatl()<\/code>\u3001<code>.is_diagmat()<\/code><\/p>\n\n\n\n<p>\u4f8b\u5b50\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sp_mat A = sprandu(1000, 2000, 0.01);\nsp_mat B = sprandu(2000, 1000, 0.01);\n\nsp_mat C = 2*B;\nsp_mat D = A*C;\n\nsp_mat E(1000,1000);\nE(1,2) = 123;\n\n\n\/\/ batch insertion of 3 values at\n\/\/ locations (1, 2), (7, 8), (9, 9)\n\numat locations = { { 1, 7, 9 },\n                   { 2, 8, 9 } };\n\nvec values = { 1.0, 2.0, 3.0 };\n\nsp_mat X(locations, values);<\/code><\/pre>\n\n\n\n<p>\u53e6\u8bf7\u53c2\u9605\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>element access\nelement iterators (\u7a00\u758f\u77e9\u9635)\nprinting matrices\nSparse Matrix in Wikipedia\nMat class (\u7a20\u5bc6\u77e9\u9635)<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u8fd0\u7b97\u7b26\uff1a + \u2212 * % \/ == \uff01= &lt;= &gt;= &lt; &gt; &amp;&amp; ||<\/h2>\n\n\n\n<p>Mat\u3001Col\u3001Row \u548c Cube \u7c7b\u7684\u91cd\u8f7d\u8fd0\u7b97\u7b26<\/p>\n\n\n\n<p>\u8fd0\u7b97\u7b26\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7b26\u53f7<\/th><th>\u542b\u4e49<\/th><\/tr><\/thead><tbody><tr><td>+<\/td><td>\u4e24\u4e2a\u5bf9\u8c61\u76f8\u52a0<\/td><\/tr><tr><td>\u2212<\/td><td>\u4ece\u53e6\u4e00\u4e2a\u5bf9\u8c61\u4e2d\u51cf\u53bb\u4e00\u4e2a\u5bf9\u8c61\u6216\u4e00\u4e2a\u8d1f\u6570<\/td><\/tr><tr><td>*<\/td><td>\u4e24\u4e2a\u5bf9\u8c61\u7684\u77e9\u9635\u4e58\u6cd5;\u4e0d\u9002\u7528\u4e8e Cube \u7c7b\uff0c\u9664\u975e\u4e58\u4ee5\u6807\u91cf<\/td><\/tr><tr><td>%<\/td><td>\u4e24\u4e2a\u5bf9\u8c61\u7684\u5143\u7d20\u4e58\u6cd5\uff08Schur \u79ef\uff09<\/td><\/tr><tr><td>\/<\/td><td>\u5c06\u4e00\u4e2a\u5bf9\u8c61\u9010\u4e2a\u5143\u7d20\u9664\u4ee5\u53e6\u4e00\u4e2a\u5bf9\u8c61\u6216\u6807\u91cf<\/td><\/tr><tr><td>==<\/td><td>\u4e24\u4e2a\u5bf9\u8c61\u7684\u5143\u7d20\u76f8\u7b49\u6027\u8bc4\u4f30;\u751f\u6210 umat\/ucube \u7c7b\u578b\u7684\u77e9\u9635\/\u7acb\u65b9\u4f53<\/td><\/tr><tr><td>!=<\/td><td>\u4e24\u4e2a\u5bf9\u8c61\u7684\u5143\u7d20\u4e0d\u76f8\u7b49\u8bc4\u4f30;\u751f\u6210 umat\/ucube \u7c7b\u578b\u7684\u77e9\u9635\/\u7acb\u65b9\u4f53<\/td><\/tr><tr><td>&gt;=<\/td><td>\u5bf9\u4e24\u4e2a\u5bf9\u8c61\u8fdb\u884c\u5143\u7d20\u201c\u5927\u4e8e\u6216\u7b49\u4e8e\u201d\u8bc4\u4f30;\u751f\u6210 umat\/ucube \u7c7b\u578b\u7684\u77e9\u9635\/\u7acb\u65b9\u4f53<\/td><\/tr><tr><td>&lt;=<\/td><td>\u5bf9\u4e24\u4e2a\u5bf9\u8c61\u8fdb\u884c\u5143\u7d20\u201c\u5c0f\u4e8e\u6216\u7b49\u4e8e\u201d\u8bc4\u4f30;\u751f\u6210 umat\/ucube \u7c7b\u578b\u7684\u77e9\u9635\/\u7acb\u65b9\u4f53<\/td><\/tr><tr><td>&gt;<\/td><td>\u5bf9\u4e24\u4e2a\u5bf9\u8c61\u8fdb\u884c\u5143\u7d20\u201c\u5927\u4e8e\u201d\u8bc4\u4f30;\u751f\u6210 umat\/ucube \u7c7b\u578b\u7684\u77e9\u9635\/\u7acb\u65b9\u4f53<\/td><\/tr><tr><td>&lt;<\/td><td>\u5bf9\u4e24\u4e2a\u5bf9\u8c61\u8fdb\u884c\u5143\u7d20\u201c\u5c0f\u4e8e\u201d\u8bc4\u4f30;\u751f\u6210 umat\/ucube \u7c7b\u578b\u7684\u77e9\u9635\/\u7acb\u65b9\u4f53<\/td><\/tr><tr><td>&amp;&amp;<\/td><td>\u4e24\u4e2a\u5bf9\u8c61\u7684\u9010\u5143\u7d20\u903b\u8f91 AND \u8ba1\u7b97;\u751f\u6210 umat\/ucube \u7c7b\u578b\u7684\u77e9\u9635\/\u7acb\u65b9\u4f53<\/td><\/tr><tr><td>||<\/td><td>\u4e24\u4e2a\u5bf9\u8c61\u7684\u9010\u5143\u7d20\u903b\u8f91 OR \u6c42\u503c;\u751f\u6210 umat\/ucube \u7c7b\u578b\u7684\u77e9\u9635\/\u7acb\u65b9\u4f53<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u7528\u4e8e\u5143\u7d20\u5173\u7cfb\u548c\u903b\u8f91\u64cd\u4f5c(\u6bd4\u5982 , , , , , , , ) \u751f\u6210\u7684\u5bf9\u8c61\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u90fd\u662f 0 \u6216 1\uff0c\u5177\u4f53\u53d6\u51b3\u4e8e\u64cd\u4f5c\u7684\u7ed3\u679c<code>==!=&gt;=&lt;=&gt;&lt;&amp;&amp;||<\/code><\/p>\n\n\n\n<p>\u6ce8\u610f\uff1a\u6d89\u53ca\u76f8\u7b49\u6bd4\u8f83\u7684\u8fd0\u7b97\u7b26\uff08\u6bd4\u5982 , , ,\uff09 \u4e0d\u5efa\u8bae\u7528\u4e8e mat \u6216 fmat \u7c7b\u578b\u7684\u77e9\u9635\uff0c \u7531\u4e8e\u6d6e\u70b9\u5143\u7d20\u7c7b\u578b\u7684\u7cbe\u5ea6\u5fc5\u7136\u6709\u9650; \u8003\u8651\u6539\u7528 approx_equal\uff08\uff09<code>==!=&gt;=&lt;=<\/code><\/p>\n\n\n\n<p>\u5982\u679c \u548c \u8fd0\u7b97\u7b26\u662f\u94fe\u63a5\u7684\uff0c\u5219 Armadillo \u65e8\u5728\u907f\u514d\u751f\u6210\u4e34\u65f6\u503c; \u5982\u679c\u6240\u6709\u7ed9\u5b9a\u5bf9\u8c61\u7684\u7c7b\u578b\u548c\u5927\u5c0f\u76f8\u540c\uff0c\u5219\u4e0d\u4f1a\u751f\u6210\u4e34\u65f6\u5bf9\u8c61+\u2212%<\/p>\n\n\n\n<p>\u5982\u679c\u7b97\u5b50\u662f\u94fe\u5f0f\u7684\uff0cArmadillo \u7684\u76ee\u6807\u662f\u627e\u5230\u77e9\u9635\u4e58\u6cd5\u7684\u6709\u6548\u6392\u5e8f*<\/p>\n\n\n\n<p>\u5e7f\u64ad\u64cd\u4f5c\u53ef\u901a\u8fc7 <code>.each_col\uff08\uff09<\/code>\u3001<code>.each_row\uff08\uff09<\/code>\u3001<code>.each_slice\uff08\uff09<\/code>\u8fdb\u884c<\/p>\n\n\n\n<p>\u5982\u679c\u4f7f\u7528\u4e0d\u517c\u5bb9\u7684\u5bf9\u8c61\u5927\u5c0f\uff0c\u5219\u4f1a\u5f15\u53d1 <code>std\uff1a\uff1alogic_error<\/code>\u5f02\u5e38<\/p>\n\n\n\n<p>\u4f8b\u5b50\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>mat A(5, 10, fill::randu);\nmat B(5, 10, fill::randu);\nmat C(10, 5, fill::randu);\n\nmat P = A + B;\nmat Q = A - B;\nmat R = -B;\nmat S = A \/ 123.0;\nmat T = A % B;\nmat U = A * C;\n\n\/\/ V is constructed without temporaries\nmat V = A + B + A + B;\n\nimat AA = \"1 2 3; 4 5 6; 7 8 9;\";\nimat BB = \"3 2 1; 6 5 4; 9 8 7;\";\n\n\/\/ compare elements\numat ZZ = (AA &gt;= BB);<\/code><\/pre>\n\n\n\n<p>\u53e6\u8bf7\u53c2\u9605\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>approx_equal()\npow()\nany()\nall()\naffmul()\naccu()\nas_scalar()\nfind()\n.replace()\n.transform()\n.each_col\uff08\uff09 \u548c .each_row\uff08\uff09 \uff08\u5e94\u7528\u4e8e\u6bcf\u5217\u6216\u6bcf\u884c\u7684\u5411\u91cf\u8fd0\u7b97\uff09\n\u5176\u4ed6\u5143\u7d20\u51fd\u6570\uff08exp\u3001log\u3001sqrt\u3001square\u3001round \u7b49\uff09\n\u7ef4\u57fa\u767e\u79d1\u4e2d\u7684\u6d6e\u70b9\u8fd0\u7b97\nMathWorld \u4e2d\u7684\u6d6e\u70b9\u8868\u793a<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>@[toc] \u77e9\u9635\u7c7b\u3001\u5411\u91cf\u7c7b\u3001Cube\u7c7b\u548c\u6cdb\u578b\u7c7b Mat mat cx_mat \u5bc6\u96c6\u77e9\u9635\u7684\u7c7b\uff0c\u5176\u5143\u7d20\u6309\u5217\u4f18\u5148\u987a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-44","post","type-post","status-publish","format-standard","hentry","category-algorithm"],"_links":{"self":[{"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=\/wp\/v2\/posts\/44","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=44"}],"version-history":[{"count":1,"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=\/wp\/v2\/posts\/44\/revisions"}],"predecessor-version":[{"id":45,"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=\/wp\/v2\/posts\/44\/revisions\/45"}],"wp:attachment":[{"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=44"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=44"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/chaixiangyu.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=44"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}