{"id":2019,"date":"2022-05-08T10:43:49","date_gmt":"2022-05-08T01:43:49","guid":{"rendered":"https:\/\/www.insilico.jp\/blog\/?p=2019"},"modified":"2022-06-08T09:46:49","modified_gmt":"2022-06-08T00:46:49","slug":"lalibrary_eigen_part1","status":"publish","type":"post","link":"https:\/\/www.insilico.jp\/blog\/2022\/05\/08\/lalibrary_eigen_part1\/","title":{"rendered":"C++\u306e\u7dda\u578b\u4ee3\u6570\u30e9\u30a4\u30d6\u30e9\u30eaEigen\u306e\u4f7f\u3044\u65b9\u5099\u5fd8\u9332\u3000\u301c\u57fa\u672c\u7de8\u301c"},"content":{"rendered":"\n<p>\u8fd1\u5e74C++\u3067\u3088\u304f\u5229\u7528\u3055\u308c\u3066\u3044\u308b\u7dda\u578b\u4ee3\u6570\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u3042\u308bEigen\u306e\u4f7f\u3044\u65b9\u306b\u3064\u3044\u3066\u7c21\u5358\u306b\u307e\u3068\u3081\u307e\u3057\u305f\u3002\u79c1\u3082\u305f\u307e\u306b\u5229\u7528\u3059\u308b\u306e\u3067\u3059\u304c\u3001\u4f7f\u7528\u983b\u5ea6\u304c\u4f4e\u3044\u305f\u3081\u4f7f\u3044\u65b9\u3092\u5fd8\u308c\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u5fd8\u308c\u308b\u5ea6\u306b\u30cd\u30c3\u30c8\u691c\u7d22\u3057\u3066\u8abf\u3079\u308b\u306e\u3067\u3059\u304c\u3001\u3044\u3044\u304b\u3052\u3093\u9762\u5012\u306b\u306a\u3063\u3066\u304d\u305f\u306e\u3067\u3001\u81ea\u5206\u7528\u306e\u5099\u5fd8\u9332\u3068\u3057\u3066\u4f7f\u3044\u65b9\u3092\u66f8\u304d\u7559\u3081\u3066\u304a\u304f\u3053\u3068\u306b\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u306f\u3058\u3081\u306b<\/h2>\n\n\n\n<p>\u7dda\u578b\u4ee3\u6570\u30e9\u30a4\u30d6\u30e9\u30ea\u3068\u306f\u30d9\u30af\u30c8\u30eb\u3084\u884c\u5217\u306b\u95a2\u3059\u308b\u8272\u3005\u306a\u6570\u5024\u8a08\u7b97\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u306e\u95a2\u6570\uff08\u30b5\u30d6\u30eb\u30fc\u30c1\u30f3\uff09\u3092\u307e\u3068\u3081\u305f\u3082\u306e\u3067\u3059\u3002\u884c\u5217\u540c\u58eb\u306e\u639b\u3051\u7b97\u306a\u3069\u306e\u57fa\u672c\u7684\u306a\u8a08\u7b97\u3067\u3042\u308c\u3070\u7c21\u5358\u306b\u81ea\u5206\u3067\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u3059\u308b\u3053\u3068\u3082\u53ef\u80fd\u304b\u3068\u601d\u3044\u307e\u3059\u3002\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u521d\u5fc3\u8005\u306b\u306f\u591a\u91cd\u30eb\u30fc\u30d7\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u826f\u3044\u6f14\u7fd2\u554f\u984c\u306b\u306a\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u5b9f\u969b\u306e\u8a08\u7b97\u6a5f\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306b\u304a\u3044\u3066\u306f\u3001\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u521d\u5fc3\u8005\u304c\u4f5c\u6210\u3059\u308b\u3088\u3046\u306a\u884c\u5217\u540c\u58eb\u306e\u639b\u3051\u7b97\u30d7\u30ed\u30b0\u30e9\u30e0\u3067\u306f\u3001\u5b9f\u884c\u901f\u5ea6\u304c\u9045\u304f\u3066\u4f7f\u3044\u7269\u306b\u306a\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u884c\u5217\u3084\u30d9\u30af\u30c8\u30eb\u306e\u8a08\u7b97\u3092\u3059\u308b\u5834\u5408\u306f\u81ea\u5206\u3067\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u305b\u305a\u306b\u3001\u7dda\u578b\u4ee3\u6570\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u304c\u666e\u901a\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u7dda\u578b\u4ee3\u6570\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u4e00\u756a\u6709\u540d\u306a\u306e\u306fBLAS\/LAPACK\u3067\u3059\u3002\u3053\u308c\u306f\u3069\u3053\u306e\u30b9\u30fc\u30d1\u30fc\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306b\u3067\u3082\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u304b\u3082\u305d\u308c\u305e\u308c\u306e\u30b7\u30b9\u30c6\u30e0\u306b\u6700\u9069\u5316\u3055\u308c\u3066\u3044\u308b\u306e\u3067\u3001\u30e1\u30c1\u30e3\u30e1\u30c1\u30e3\u8a08\u7b97\u304c\u901f\u3044\u3067\u3059\u3002\u305d\u3093\u306aBLAS\/LAPACK\u3067\u3082\u73fe\u4ee3\u7684\u306a\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u304b\u3089\u3059\u308b\u3068\u53e4\u81ed\u304f\u3001\u4f7f\u3044\u52dd\u624b\u304c\u826f\u304f\u306a\u3044\u3067\u3059\u3002\uff08\u3042\u304f\u307e\u3067\u3082\u79c1\u306e\u611f\u60f3\u3067\u3059\u304c\uff09\u3082\u3068\u3082\u3068FORTRAN\u3068\u3044\u3046\u53e4\u3044\u8a00\u8a9e\u7528\u306b\u958b\u767a\u3055\u308c\u305f\u3082\u306e\u306a\u306e\u3067\u4ed5\u65b9\u306a\u3044\u306e\u3067\u3057\u3087\u3046\u3002\u7279\u306bC++\u306e\u3088\u3046\u306a\u5e38\u306b\u9032\u5316\u3057\u7d9a\u3051\u3066\u3044\u308b\u8a00\u8a9e\u3067\u5229\u7528\u3059\u308b\u3068\u3001\u660e\u3089\u304b\u306b\u4f7f\u3044\u52dd\u624b\u304c\u60aa\u304f\u611f\u3058\u307e\u3059\u3002\u3068\u3044\u3046\u304bFORTRAN\u7528\u306e\u3082\u306e\u3092C\u8a00\u8a9e\u3067\u5229\u7528\u3057\u3088\u3046\u3068\u3059\u308b\u6642\u70b9\u3067\u3082\u3046\u9762\u5012\u304f\u3055\u3044\u3067\u3059\u3002\u305d\u306e\u3088\u3046\u306a\u554f\u984c\u3092\u89e3\u6c7a\u3057\u3066\u304f\u308c\u308b\u306e\u304cEigen\u3068\u3044\u3046\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u3059\u3002<\/p>\n\n\n\n<p>Eigen\u306f\u30d8\u30c3\u30c0\u30fc\u30d5\u30a1\u30a4\u30eb\u306e\u307f\u3067\u69cb\u6210\u3055\u308c\u308b\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u30e9\u30a4\u30d6\u30e9\u30ea\u3068\u3088\u3070\u308c\u308b\u3082\u306e\u3067\u3001\u4e8b\u524d\u306b\u30b3\u30f3\u30d1\u30a4\u30eb\u3057\u3066\u30d3\u30eb\u30c9\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u305b\u3093\u3002STL\u306e\u3088\u3046\u306a\u8a2d\u8a08\u3092\u9078\u629e\u3057\u3066\u3044\u308b\u6642\u70b9\u3067\u795e\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u3059\u3002\u3082\u3061\u308d\u3093Eigen\u306e\u8a08\u7b97\u901f\u5ea6\u306f\u9ad8\u901f\u3067\u3001CPU\u306eSIMD\u547d\u4ee4\u3092\u4f7f\u3044\u30d9\u30af\u30c8\u30eb\u5316\u3057\u304f\u308c\u307e\u3059\u3057\u3001\u4e00\u90e8\u306e\u8a08\u7b97\u3067\u306f\u30b9\u30ec\u30c3\u30c9\u4e26\u5217\u5316\u3082\u3057\u3066\u304f\u308c\u307e\u3059\u3002\u79c1\u81ea\u8eab\u306f\u5229\u7528\u3057\u305f\u3053\u3068\u306f\u7121\u3044\u3067\u3059\u304c\u3001\u30b3\u30f3\u30d1\u30a4\u30eb\u30aa\u30d7\u30b7\u30e7\u30f3\u306b\u3088\u3063\u3066BLAS\/LAPACK\u3092\u5229\u7528\u3059\u308b\u3088\u3046\u306b\u5207\u308a\u66ff\u3048\u308b\u4e8b\u3082\u51fa\u6765\u308b\u3088\u3046\u3067\u3059\u3002\u305d\u3093\u306a\u795e\u30e9\u30a4\u30d6\u30e9\u30ea\u3082\u5e38\u306b\u5229\u7528\u3057\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u306e\u3067\u3001Eigen\u3092\u5229\u7528\u3059\u308b\u5834\u5408\u306f\u3044\u3064\u3082WEB\u3067\u8abf\u3079\u306a\u304c\u3089\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u3057\u3066\u3044\u307e\u3059\u3002\u300c\u3042\u30fc\u305d\u3046\u3060\u3063\u305f\uff01\u300d\u3068\u304b\u72ec\u308a\u8a00\u3057\u306a\u304c\u3089\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u3059\u308b\u306e\u3082\u98fd\u304d\u3066\u304d\u305f\u306e\u3067\u3001\u81ea\u5206\u7528\u306b\u307e\u3068\u3081\u3066\u307f\u3088\u3046\u3068\u601d\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb<\/h2>\n\n\n\n<p>Linux\u306b\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b\u5834\u5408\u306f\u30d1\u30c3\u30b1\u30fc\u30b8\u7ba1\u7406\u30b3\u30de\u30f3\u30c9\u3092\u5229\u7528\u3059\u308b\u3068\u7c21\u5358\u3067\u3059\u3002Debian\u7cfb\u3067\u306f<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>$ sudo apt install -y libeigen3-dev<\/code><\/pre>\n\n\n\n<p>\u3068\u306a\u308a\u3001RedHat\u7cfb\u3067\u306f<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>$ dnf -y install eigen3-devel<\/code><\/pre>\n\n\n\n<p>\u3068\u306a\u308a\u307e\u3059\u3002\u6700\u65b0\u7248\u3092\u5229\u7528\u3057\u305f\u3044\u5834\u5408\u306fEigen\u306eWeb\u30da\u30fc\u30b8(http:\/\/eigen.tuxfamily.org\/)\u304b\u3089\u3001<br>\u30a2\u30fc\u30ab\u30a4\u30d6\u30d5\u30a1\u30a4\u30eb\u3092\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3057\u3066\u3001\u9069\u5f53\u306a\u30c7\u30a3\u30ec\u30af\u30c8\u30ea\u3067\u5c55\u958b\u3059\u308c\u3070\u826f\u3044\u3002\u3053\u306e\u8a18\u4e8b\u3092\u66f8\u3044\u3066\u3044\u308b\u6642\u70b9\u306e\u6700\u65b0\u7248\u306f\u30d0\u30fc\u30b8\u30e7\u30f33.4.0\u3067\u3001Eigen\u306e\u30da\u30fc\u30b8\u304b\u3089<code>eigen-3.4.0.tar.gz<\/code>\u3068\u3044\u3046\u30d5\u30a1\u30a4\u30eb\u304c\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u51fa\u6765\u307e\u3059\u3002\u4f8b\u3048\u3070\u3053\u308c\u3092<code>\/usr\/local\/incluce<\/code>\u306e\u4e0b\u3067\u5c55\u958b\u3059\u308b\u3068\u3001<code>\/usr\/local\/include\/eigen-3.4.0<\/code>\u3068\u3044\u3046\u30c7\u30a3\u30ec\u30af\u30c8\u30ea\u304c\u4f5c\u6210\u3055\u308c\u308b\u306e\u3067\u3001<code>\/usr\/local\/incluce\/eigen<\/code>\u306b\u30ea\u30f3\u30af\u3092\u4f5c\u6210\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># ln -s \/usr\/local\/include\/eigen-3.4.0 \/usr\/local\/incluce\/eigen<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u7c21\u5358\u306a\u4f7f\u3044\u65b9<\/h2>\n\n\n\n<p>Eigen\u3092\u5229\u7528\u3059\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u8a18\u8ff0\u3059\u308b\u3068\u304d\u306f\u3001<code>&lt;Eigen\/Dense&gt;<\/code>\u3092\u30a4\u30f3\u30af\u30eb\u30fc\u30c9\u3059\u308b\u3002<code>using namespace Eigen;<\/code>\u3068\u6697\u9ed9\u7684\u306b\u5229\u7528\u3059\u308b\u540d\u524d\u7a7a\u9593\u3092\u8a2d\u5b9a\u3057\u3066\u304a\u304f\u3068\u4fbf\u5229\u3067\u3059\u3002\u7c21\u5358\u306a\u30b5\u30f3\u30d7\u30eb\u30d7\u30ed\u30b0\u30e9\u30e0\u306f\u6b21\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code> 1 #include &lt;Eigen\/Dense&gt;\n 2 #include &lt;iostream&gt;\n 3\n 4 using namespace std;\n 5 using namespace Eigen;\n 6\n 7 int main() {\n 8   Matrix3d m = Matrix3d::Random();\n 9   m = (m + Matrix3d::Constant(1.2)) * 50;\n10   cout &lt;&lt; \"m =\" &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;\n11   Vector3d v(1, 2, 3);\n12\n13   cout &lt;&lt; \"m * v =\" &lt;&lt; endl &lt;&lt; m * v &lt;&lt; endl;\n14 }<\/code><\/pre>\n\n\n\n<p>\u3053\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3092<code>sample1.cpp<\/code>\u3068\u3057\u3066\u4fdd\u5b58\u3057\u3066\u3001\u6b21\u306e\u3088\u3046\u306a\u30b3\u30de\u30f3\u30c9\u3067\u30b3\u30f3\u30d1\u30a4\u30eb\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>$ g++ -I\/usr\/include\/eigen3 sample1.cpp<\/code><\/pre>\n\n\n\n<p>\u3053\u3053\u3067<code>-I<\/code>\u30aa\u30d7\u30b7\u30e7\u30f3\u3067Eigen\u304c\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3055\u308c\u3066\u3044\u308b\u30c7\u30a3\u30ec\u30af\u30c8\u30ea\u3092\u6307\u5b9a\u3059\u308b\u3002apt\u3084dnf\u3067\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u305f\u5834\u5408\u306f<code>\/usr\/include\/eigen3<\/code>\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u30d9\u30af\u30c8\u30eb\u3084\u884c\u5217\u306e\u5b9a\u7fa9\u3068\u521d\u671f\u5316<\/h2>\n\n\n\n<p>3\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306e\u5b9a\u7fa9<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Vector3d v; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5b9f\u6570<\/mark><\/strong>\nVector3cd v; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u8907\u7d20\u6570<\/mark><\/strong><\/code><\/pre>\n\n\n\n<p>3\u6b21\u6b63\u65b9\u884c\u5217<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Matrix3d A; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5b9f\u6570<\/mark><\/strong>\nMatrix3cd A; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u8907\u7d20\u6570<\/mark><\/strong><\/code><\/pre>\n\n\n\n<p>N\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u306e\u5b9a\u7fa9<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>VectorXd v(N);\nVectorXcd v(N);<\/code><\/pre>\n\n\n\n<p>N\u6b21\u6b63\u65b9\u884c\u5217<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>MatrixXd A(N,N); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5b9f\u6570<\/mark><\/strong>\nMatrixXcd A(N,N); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u8907\u7d20\u6570<\/mark><\/strong><\/code><\/pre>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u30bc\u30ed\u521d\u671f\u5316<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V=VectorXd::Zero(N);<\/code><\/pre>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u4e71\u6570\u3067\u521d\u671f\u5316<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>V=VectorXd::Random(N);<\/code><\/pre>\n\n\n\n<p>\u884c\u5217\u306e\u30bc\u30ed\u521d\u671f\u5316\uff08N\u884cM\u5217\uff09<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A=MatrixXd::Zero(N,M);<\/code><\/pre>\n\n\n\n<p>\u884c\u5217\u306e\u4e71\u6570\u3067\u521d\u671f\u5316\uff08N\u884cM\u5217\uff09<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A=MatrixXd::Random(N,M);<\/code><\/pre>\n\n\n\n<p>\u5358\u4f4d\u884c\u5217\u3068\u3057\u3066\u521d\u671f\u5316\uff08N\u6b21\u6b63\u65b9\u884c\u5217\uff09<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A=MatrixXd::Identity(N,N);<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u6f14\u7b97<\/h2>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u57fa\u672c\u6f14\u7b97<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>VectorXd a = VectorXd::Random(5);\nVectorXd b = VectorXd::Random(5);\ndouble c = 10.0;\nVectorXd x = a + c * b;<\/code><\/pre>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>VectorXd a = VectorXd::Random(5);\nVectorXd b = VectorXd::Random(5);\ndouble x = a.dot(b);<\/code><\/pre>\n\n\n\n<p>\u884c\u5217\u3068\u30d9\u30af\u30c8\u30eb\u306e\u57fa\u672c\u6f14\u7b97<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>MatrixXd A = MatrixXd::Random(5, 5);\nVectorXd b = VectorXd::Random(5);\nVectorXd x = A * b; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u884c\u5217\u3068\u30d9\u30af\u30c8\u30eb\u306e\u7a4d<\/mark><\/strong>\nVectorXd y = b.transpose() * A; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u30d9\u30af\u30c8\u30eb\u3068\u884c\u5217\u306e\u7a4d<\/mark><\/strong>\ndouble c = b.transpose() * A * b; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u4e8c\u6b21\u5f62\u5f0f\u306e\u5024<\/mark><\/strong><\/code><\/pre>\n\n\n\n<p>\u884c\u5217\u540c\u58eb\u306e\u57fa\u672c\u6f14\u7b97<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>MatrixXd A = MatrixXd::Random(5, 5);\nMatrixXd B = MatrixXd::Random(5, 5);\nMatrixXd C = A * B;<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u64cd\u4f5c<\/h2>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u3068\u884c\u5217\u306e\u8ee2\u7f6e<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>VectorXd a;\ncout &lt;&lt; a &lt;&lt; endl &lt;&lt; endl &lt;&lt; a.transpose() &lt;&lt; endl;\nMatrixXd A;\ncout &lt;&lt; A &lt;&lt; endl &lt;&lt; endl &lt;&lt; A.transpose() &lt;&lt; endl;<\/code><\/pre>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u304b\u3089\u306e\u5207\u308a\u51fa\u3057<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>VectorXd a;\na.head(n); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5148\u982d\u304b\u3089n\u8981\u7d20<\/mark><\/strong>\na.tail(n); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u672b\u5c3e\u306en\u8981\u7d20<\/mark><\/strong>\na.segment(i,n); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">i+1\u756a\u76ee\u304b\u3089n\u8981\u7d20\u3092\u5207\u308a\u51fa\u3059<\/mark><\/strong><\/code><\/pre>\n\n\n\n<p>\u884c\u5217\u304b\u3089\u306e\u5207\u308a\u51fa\u3057<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>MatrixXd A;\nA.row(i); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">i+1\u756a\u76ee\u306e\u884c<\/mark><\/strong>\nA.col(j); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">j+1\u756a\u76ee\u306e\u5217<\/mark><\/strong>\nA.topLeftCorner(p,q); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5de6\u4e0a\u306ep\u884cq\u5217<\/mark><\/strong>\nA.bottomLeftCorner(p,q); <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>\u5de6\u4e0b\u306ep\u884cq\u5217<\/strong><\/mark>\nA.topRightCorner(p,q); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u53f3\u4e0a\u306ep\u884cq\u5217<\/mark><\/strong>\nA.bottomRightCorner(p,q); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u53f3\u4e0b\u306ep\u884cq\u5217<\/mark><\/strong>\nA.topRows(p); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u4e0a\u304b\u3089p\u884c<\/mark><\/strong>\nA.bottomRows(p); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u4e0b\u304b\u3089p\u884c<\/mark><\/strong>\nA.leftCols(q); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5de6\u304b\u3089q\u5217<\/mark><\/strong>\nA.rightCols(q); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u53f3\u304b\u3089q\u5217<\/mark><\/strong>\nA.middleCols(i,q); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">i+1\u756a\u76ee\u306e\u5217\u304b\u3089q\u500b\u306e\u5217\u3092\u5207\u308a\u51fa\u3057<\/mark><\/strong>\nA.middleRows(i,p); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">i+1\u756a\u76ee\u306e\u884c\u304b\u3089p\u500b\u306e\u884c\u3092\u5207\u308a\u51fa\u3057<\/mark><\/strong>\nA.block(i,j,p,q); <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">i+1\u756a\u76ee\u306e\u884c\u3001j+1\u756a\u76ee\u306e\u5217\u304b\u3089p\u884cq\u5217\u3092\u5207\u308a\u51fa\u3057<\/mark><\/strong><\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u5e73\u65b9\u6839\u306a\u3069\u306e\u521d\u7b49\u95a2\u6570\u306e\u8a08\u7b97<\/h2>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb(1,2,3,4,5)\u306e\u305d\u308c\u305e\u308c\u306e\u8981\u7d20\u306e\u5e73\u65b9\u6839\u306e\u8a08\u7b97\u306f\u3001arraty\u30e1\u30bd\u30c3\u30c9\u3092\u5229\u7528\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>VectorXd v(5);\nv &lt;&lt; 1, 2, 3, 4, 5;\nVectorXd u=v.array().sqrt();<\/code><\/pre>\n\n\n\n<p>\u884c\u5217\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u306b\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>MatrixXd A(3, 3);\nA &lt;&lt; 1, 2, 3, 4, 5, 6, 7, 8, 9;\nMatrixXd B = A.array().sqrt();<\/code><\/pre>\n\n\n\n<p>\u4f7f\u3048\u308b\u95a2\u6570\u306f\u3001abs(), log(), exp(), sin(), cos(), tan(), square(), cube()\u306a\u3069\u304c\u4f7f\u3048\u308b\u3002<br>\u8a73\u3057\u304f\u306fEigen\u306e\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7dcf\u548c\u3084\u5e73\u5747\u306a\u3069\u306e\u8a08\u7b97<\/h2>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u8981\u7d20\u306e\u7dcf\u548c\u3001\u5e73\u5747\u3001\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u306e\u8a08\u7b97<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>VectorXd v = VectorXd::Random(10);\ncout &lt;&lt; v.sum() &lt;&lt; endl;\ncout &lt;&lt; v.mean() &lt;&lt; endl;\ncout &lt;&lt; v.maxCoeff() &lt;&lt; endl;\ncout &lt;&lt; v.minCoeff() &lt;&lt; endl;<\/code><\/pre>\n\n\n\n<p>\u30d9\u30af\u30c8\u30eb\u306e\u30ce\u30eb\u30e0\u306e\u8a08\u7b97<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>VectorXd v = VectorXd::Random(10);\ncout &lt;&lt; v.norm() &lt;&lt; endl; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">L2\u30ce\u30eb\u30e0<\/mark><\/strong>\ncout &lt;&lt; v.squaredNorm() &lt;&lt; endl; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">L2\u30ce\u30eb\u30e0\u306e2\u4e57<\/mark><\/strong>\ncout &lt;&lt; v.lpNorm&lt;1&gt;() &lt;&lt; endl; <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">L1\u30ce\u30eb\u30e0<\/mark><\/strong><\/code><\/pre>\n\n\n\n<p>\u884c\u5217\u306e\u5217\u6bce\u306e\u7dcf\u548c\u3001\u5e73\u5747\u3001\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u306e\u8a08\u7b97<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>MatrixXd A = MatrixXd::Random(5, 5);\ncout &lt;&lt; A.colwise().sum() &lt;&lt; endl;\ncout &lt;&lt; A.colwise().mean() &lt;&lt; endl;\ncout &lt;&lt; A.colwise().maxCoeff() &lt;&lt; endl;\ncout &lt;&lt; A.colwise().minCoeff() &lt;&lt; endl;<\/code><\/pre>\n\n\n\n<p>\u884c\u5217\u306e\u884c\u6bce\u306e\u8a08\u7b97\u306frowwise()\u3092\u5229\u7528\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u81ea\u5206\u304c\u5229\u7528\u3059\u308b\u3067\u3042\u308d\u3046\u30d9\u30af\u30c8\u30eb\u3068\u884c\u5217\u306e\u57fa\u672c\u7684\u306a\u8a08\u7b97\u306b\u3064\u3044\u3066\u306f\u5927\u4f53\u8a18\u8ff0\u3067\u304d\u305f\u304b\u306a\u3002\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3084\u56fa\u6709\u5024\u554f\u984c\u306a\u3069\u306b\u3064\u3044\u3066\u306f\u6b21\u56de\u306e\u30d6\u30ed\u30b0\u3067\u307e\u3068\u3081\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd1\u5e74C++\u3067\u3088\u304f\u5229\u7528\u3055\u308c\u3066\u3044\u308b\u7dda\u578b\u4ee3\u6570\u30e9\u30a4\u30d6\u30e9\u30ea\u3067\u3042\u308bEigen\u306e\u4f7f\u3044\u65b9\u306b\u3064\u3044\u3066\u7c21\u5358\u306b\u307e\u3068\u3081\u307e\u3057\u305f\u3002\u79c1\u3082\u305f\u307e\u306b\u5229\u7528\u3059\u308b\u306e\u3067\u3059\u304c\u3001\u4f7f\u7528\u983b\u5ea6\u304c\u4f4e\u3044\u305f\u3081\u4f7f\u3044\u65b9\u3092\u5fd8\u308c\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u5fd8\u308c\u308b\u5ea6\u306b\u30cd\u30c3\u30c8\u691c\u7d22\u3057\u3066\u8abf\u3079\u308b\u306e\u3067\u3059\u304c\u3001\u3044\u3044\u304b\u3052&#8230;<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[75],"class_list":["post-2019","post","type-post","status-publish","format-standard","hentry","category-15","tag-75"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.3.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>C++\u306e\u7dda\u578b\u4ee3\u6570\u30e9\u30a4\u30d6\u30e9\u30eaEigen\u306e\u4f7f\u3044\u65b9\u5099\u5fd8\u9332\u3000\u301c\u57fa\u672c\u7de8\u301c - In Silico \u5275\u85ac<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.insilico.jp\/blog\/2022\/05\/08\/lalibrary_eigen_part1\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"C++\u306e\u7dda\u578b\u4ee3\u6570\u30e9\u30a4\u30d6\u30e9\u30eaEigen\u306e\u4f7f\u3044\u65b9\u5099\u5fd8\u9332\u3000\u301c\u57fa\u672c\u7de8\u301c - In Silico \u5275\u85ac\" \/>\n<meta property=\"og:description\" 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