update bundled_deps

bundled_deps/libigl/igl/piecewise_constant_winding_number.h

@@ -0,0 +1,49 @@
+// This file is part of libigl, a simple c++ geometry processing library.
+// 
+// Copyright (C) 2015 Alec Jacobson
+// 
+// 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_PIECEWISE_CONSTANT_WINDING_NUMBER_H
+#define IGL_PIECEWISE_CONSTANT_WINDING_NUMBER_H
+#include "igl_inline.h"
+#include <Eigen/Core>
+#include <vector>
+namespace igl
+{
+  // PIECEWISE_CONSTANT_WINDING_NUMBER Determine if a given mesh induces a
+  // piecewise constant winding number field: Is this mesh valid input to solid
+  // set operations.  **Assumes** that `(V,F)` contains no self-intersections
+  // (including degeneracies and co-incidences).  If there are co-planar and
+  // co-incident vertex placements, a mesh could _fail_ this combinatorial test
+  // but still induce a piecewise-constant winding number _geometrically_. For
+  // example, consider a hemisphere with boundary and then pinch the boundary
+  // "shut" along a line segment. The **_bullet-proof_** check is to first
+  // resolve all self-intersections in `(V,F) -> (SV,SF)` (i.e. what the
+  // `igl::copyleft::cgal::piecewise_constant_winding_number` overload does).
+  //
+  // Inputs:
+  //   F  #F by 3 list of triangle indices into some (abstract) list of
+  //     vertices V
+  //   uE  #uE by 2 list of unique edges indices into V
+  //   uE2E  #uE list of lists of indices into directed edges (#F * 3)
+  // Returns true if the mesh _combinatorially_ induces a piecewise constant
+  // winding number field.
+  //
+  template <
+    typename DerivedF,
+    typename DeriveduE,
+    typename uE2EType>
+  IGL_INLINE bool piecewise_constant_winding_number(
+    const Eigen::MatrixBase<DerivedF>& F,
+    const Eigen::MatrixBase<DeriveduE>& uE,
+    const std::vector<std::vector<uE2EType> >& uE2E);
+  template <typename DerivedF>
+  IGL_INLINE bool piecewise_constant_winding_number(
+    const Eigen::MatrixBase<DerivedF>& F);
+}
+#ifndef IGL_STATIC_LIBRARY
+#  include "piecewise_constant_winding_number.cpp"
+#endif
+#endif