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authorGravatar Gael Guennebaud <g.gael@free.fr>2013-03-11 21:20:12 +0100
committerGravatar Gael Guennebaud <g.gael@free.fr>2013-03-11 21:20:12 +0100
commit5d1a74da0a9a59c2c9f83df873b982df7e58ac03 (patch)
tree20fae0e47b35db1dda719931daad1bfb51f3e882 /doc/AsciiQuickReference.txt
parent6c68f1d7876e5e709bebf5441fbb9606efea4640 (diff)
Update matlab-eigen quick ascii reff
Diffstat (limited to 'doc/AsciiQuickReference.txt')
-rw-r--r--doc/AsciiQuickReference.txt35
1 files changed, 22 insertions, 13 deletions
diff --git a/doc/AsciiQuickReference.txt b/doc/AsciiQuickReference.txt
index 6f94aa45f..6b0a7cd6a 100644
--- a/doc/AsciiQuickReference.txt
+++ b/doc/AsciiQuickReference.txt
@@ -1,8 +1,7 @@
// A simple quickref for Eigen. Add anything that's missing.
// Main author: Keir Mierle
-#include <Eigen/Core>
-#include <Eigen/Array>
+#include <Eigen/Dense>
Matrix<double, 3, 3> A; // Fixed rows and cols. Same as Matrix3d.
Matrix<double, 3, Dynamic> B; // Fixed rows, dynamic cols.
@@ -11,6 +10,7 @@ Matrix<double, 3, 3, RowMajor> E; // Row major; default is column-major.
Matrix3f P, Q, R; // 3x3 float matrix.
Vector3f x, y, z; // 3x1 float matrix.
RowVector3f a, b, c; // 1x3 float matrix.
+VectorXd v; // Dynamic column vector of doubles
double s;
// Basic usage
@@ -31,9 +31,19 @@ A << 1, 2, 3, // Initialize A. The elements can also be
7, 8, 9; // and then the rows are stacked.
B << A, A, A; // B is three horizontally stacked A's.
A.fill(10); // Fill A with all 10's.
-A.setRandom(); // Fill A with uniform random numbers in (-1, 1).
- // Requires #include <Eigen/Array>.
-A.setIdentity(); // Fill A with the identity.
+
+// Eigen // Matlab
+MatrixXd::Identity(rows,cols) // eye(rows,cols)
+C.setIdentity(rows,cols) // C = eye(rows,cols)
+MatrixXd::Zero(rows,cols) // zeros(rows,cols)
+C.setZero(rows,cols) // C = ones(rows,cols)
+MatrixXd::Ones(rows,cols) // ones(rows,cols)
+C.setOnes(rows,cols) // C = ones(rows,cols)
+MatrixXd::Random(rows,cols) // rand(rows,cols)*2-1 // MatrixXd::Random returns uniform random numbers in (-1, 1).
+C.setRandom(rows,cols) // C = rand(rows,cols)*2-1
+VectorXd::LinSpace(size,low,high) // linspace(low,high,size)'
+v.setLinSpace(size,low,high) // v = linspace(low,high,size)'
+
// Matrix slicing and blocks. All expressions listed here are read/write.
// Templated size versions are faster. Note that Matlab is 1-based (a size N
@@ -77,8 +87,7 @@ a *= M; R = P + Q; R = P/s;
R += Q; R *= s;
R -= Q; R /= s;
- // Vectorized operations on each element independently
- // (most require #include <Eigen/Array>)
+// Vectorized operations on each element independently
// Eigen // Matlab
R = P.cwiseProduct(Q); // R = P .* Q
R = P.array() * s.array();// R = P .* s
@@ -150,12 +159,11 @@ MatrixXi mat2x2 = Map<Matrix2i>(data);
MatrixXi mat2x2 = Map<MatrixXi>(data, 2, 2);
// Solve Ax = b. Result stored in x. Matlab: x = A \ b.
-bool solved;
-solved = A.ldlt().solve(b, &x)); // A sym. p.s.d. #include <Eigen/Cholesky>
-solved = A.llt() .solve(b, &x)); // A sym. p.d. #include <Eigen/Cholesky>
-solved = A.lu() .solve(b, &x)); // Stable and fast. #include <Eigen/LU>
-solved = A.qr() .solve(b, &x)); // No pivoting. #include <Eigen/QR>
-solved = A.svd() .solve(b, &x)); // Stable, slowest. #include <Eigen/SVD>
+x = A.ldlt().solve(b)); // A sym. p.s.d. #include <Eigen/Cholesky>
+x = A.llt() .solve(b)); // A sym. p.d. #include <Eigen/Cholesky>
+x = A.lu() .solve(b)); // Stable and fast. #include <Eigen/LU>
+x = A.qr() .solve(b)); // No pivoting. #include <Eigen/QR>
+x = A.svd() .solve(b)); // Stable, slowest. #include <Eigen/SVD>
// .ldlt() -> .matrixL() and .matrixD()
// .llt() -> .matrixL()
// .lu() -> .matrixL() and .matrixU()
@@ -168,3 +176,4 @@ A.eigenvalues(); // eig(A);
EigenSolver<Matrix3d> eig(A); // [vec val] = eig(A)
eig.eigenvalues(); // diag(val)
eig.eigenvectors(); // vec
+// For self-adjoint matrices use SelfAdjointEigenSolver<>