update bundled_deps

bundled_deps/libigl/igl/orth.cpp

@@ -0,0 +1,32 @@
+// 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/.
+#include "orth.h"
+
+// Broken Implementation
+IGL_INLINE void igl::orth(const Eigen::MatrixXd &A, Eigen::MatrixXd &Q)
+{
+
+  //perform svd on A = U*S*V' (V is not computed and only the thin U is computed)
+  Eigen::JacobiSVD<Eigen::MatrixXd> svd(A, Eigen::ComputeThinU );
+  Eigen::MatrixXd U = svd.matrixU();
+  const Eigen::VectorXd S = svd.singularValues();
+  
+  //get rank of A
+  int m = A.rows();
+  int n = A.cols();
+  double tol = std::max(m,n) * S.maxCoeff() *  2.2204e-16;
+  int r = 0;
+  for (int i = 0; i < S.rows(); ++r,++i)
+  {
+    if (S[i] < tol)
+      break;
+  }
+  
+  //keep r first columns of U
+  Q = U.block(0,0,U.rows(),r);
+}