update bundled_deps

bundled_deps/libigl/igl/orth.h

@@ -0,0 +1,43 @@
+// This file is part of libigl, a simple c++ geometry processing library.
+// 
+// Copyright (C) 2013 Alec Jacobson <alecjacobson@gmail.com>
+// 
+// This Source Code Form is subject to the terms of the Mozilla Public License 
+// v. 2.0. If a copy of the MPL was not distributed with this file, You can 
+// obtain one at http://mozilla.org/MPL/2.0/.
+#ifndef IGL_ORTH_H
+#define IGL_ORTH_H
+
+#include "igl_inline.h"
+#include <Eigen/Dense>
+
+namespace igl
+{
+  //  ORTH   Orthogonalization.
+  //     ORTH(A,Q) produces Q as an orthonormal basis for the range of A.
+  //     That is, Q'*Q = I, the columns of Q span the same space as 
+  //     the columns of A, and the number of columns of Q is the 
+  //     rank of A.
+  //  
+  //  
+  //   The algorithm  uses singular value decomposition, SVD, instead of orthogonal
+  //   factorization, QR.  This doubles the computation time, but
+  //   provides more reliable and consistent rank determination.
+  //   Closely follows MATLAB implementation in orth.m
+  //
+  // Inputs:
+  //   A  m by n matrix 
+  // Outputs:
+  //   Q  m by n matrix with orthonormal columns spanning same column space as
+  //     A
+  //  
+  // Known bugs: Implementation listed as "Broken"
+  IGL_INLINE void orth(const Eigen::MatrixXd &A, Eigen::MatrixXd &Q);
+}
+
+
+#ifndef IGL_STATIC_LIBRARY
+#  include "orth.cpp"
+#endif
+#endif
+