Merged branch 'dev_native' into lm_sla_supports_auto

Added igl library files

src/igl/polar_svd.h

@@ -0,0 +1,54 @@
+// 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_POLAR_SVD
+#define IGL_POLAR_SVD
+#include "igl_inline.h"
+#include <Eigen/Core>
+
+namespace igl
+{
+  // Computes the polar decomposition (R,T) of a matrix A using SVD singular
+  // value decomposition
+  //
+  // Inputs:
+  //   A  3 by 3 matrix to be decomposed
+  // Outputs:
+  //   R  3 by 3 rotation matrix part of decomposition (**always rotataion**)
+  //   T  3 by 3 stretch matrix part of decomposition
+  //   U  3 by 3 left-singular vectors
+  //   S  3 by 1 singular values
+  //   V  3 by 3 right-singular vectors
+  //
+  //
+  template <
+    typename DerivedA,
+    typename DerivedR,
+    typename DerivedT,
+    typename DerivedU,
+    typename DerivedS,
+    typename DerivedV>
+  IGL_INLINE void polar_svd(
+    const Eigen::PlainObjectBase<DerivedA> & A,
+    Eigen::PlainObjectBase<DerivedR> & R,
+    Eigen::PlainObjectBase<DerivedT> & T,
+    Eigen::PlainObjectBase<DerivedU> & U,
+    Eigen::PlainObjectBase<DerivedS> & S,
+    Eigen::PlainObjectBase<DerivedV> & V);
+  template <
+    typename DerivedA,
+    typename DerivedR,
+    typename DerivedT>
+  IGL_INLINE void polar_svd(
+    const Eigen::PlainObjectBase<DerivedA> & A,
+    Eigen::PlainObjectBase<DerivedR> & R,
+    Eigen::PlainObjectBase<DerivedT> & T);
+}
+#ifndef IGL_STATIC_LIBRARY
+#  include "polar_svd.cpp"
+#endif
+#endif