Eigen is a C++ template
library for linear algebra: matrices, vectors, numerical solvers and
related algorithms. It supports dense and sparse matrices on integer,
floating point and complex numbers, decompositions of such matrices, and
solutions of linear systems. Its performance on many algorithms is
comparable with some of the best implementations based on
Lapack
and level-3 BLAS
.
RcppEigen provides an interface from R to and from Eigen by using the facilities offered by the Rcpp package for seamless R and C++ integration.
A few examples are over at the Rcpp Gallery. A simple one is
#include <RcppEigen.h>
// [[Rcpp::depends(RcppEigen)]]
using Eigen::Map; // 'maps' rather than copies
using Eigen::MatrixXd; // variable size matrix, double precision
using Eigen::VectorXd; // variable size vector, double precision
using Eigen::SelfAdjointEigenSolver; // one of the eigenvalue solvers
// [[Rcpp::export]]
(Map<MatrixXd> M) {
VectorXd getEigenValues<MatrixXd> es(M);
SelfAdjointEigenSolverreturn es.eigenvalues();
}
which can be turned into a function callable from R via a simple
sourceCpp("eigenExample.cpp")
due to the two Rcpp directives to use headers from the RcppEigen
package, and to export the getEigenValues()
function – but
read the
full post for details.
The package is mature and under active development, following the Eigen release cycle.
The package contains a pdf vignette which is a pre-print of the paper by Bates and Eddelbuettel in JSS (2013, v52i05).
Douglas Bates, Dirk Eddelbuettel, Romain Francois, and Yixuan Qiu
GPL (>= 2)