update bundled_deps

bundled_deps/libigl/igl/doublearea.h

@@ -0,0 +1,104 @@
+// 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_DOUBLEAREA_H
+#define IGL_DOUBLEAREA_H
+#include "igl_inline.h"
+#include <Eigen/Dense>
+namespace igl
+{
+  // DOUBLEAREA computes twice the area for each input triangle[quad]
+  //
+  // Templates:
+  //   DerivedV  derived type of eigen matrix for V (e.g. derived from
+  //     MatrixXd)
+  //   DerivedF  derived type of eigen matrix for F (e.g. derived from
+  //     MatrixXi)
+  //   DeriveddblA  derived type of eigen matrix for dblA (e.g. derived from
+  //     MatrixXd)
+  // Inputs:
+  //   V  #V by dim list of mesh vertex positions
+  //   F  #F by simplex_size list of mesh faces (must be triangles or quads)
+  // Outputs:
+  //   dblA  #F list of triangle[quad] double areas (SIGNED only for 2D input)
+  //
+  // Known bug: For dim==3 complexity is O(#V + #F)!! Not just O(#F). This is a big deal
+  // if you have 1million unreferenced vertices and 1 face
+  template <typename DerivedV, typename DerivedF, typename DeriveddblA>
+  IGL_INLINE void doublearea(
+    const Eigen::MatrixBase<DerivedV> & V,
+    const Eigen::MatrixBase<DerivedF> & F,
+    Eigen::PlainObjectBase<DeriveddblA> & dblA);
+  // Stream of triangles, computes signed area...
+  template <
+    typename DerivedA,
+    typename DerivedB,
+    typename DerivedC,
+    typename DerivedD>
+  IGL_INLINE void doublearea(
+    const Eigen::MatrixBase<DerivedA> & A,
+    const Eigen::MatrixBase<DerivedB> & B,
+    const Eigen::MatrixBase<DerivedC> & C,
+    Eigen::PlainObjectBase<DerivedD> & D);
+  // Single triangle in 2D!
+  //
+  // This should handle streams of corners not just single corners
+  template <
+    typename DerivedA,
+    typename DerivedB,
+    typename DerivedC>
+  IGL_INLINE typename DerivedA::Scalar doublearea_single(
+    const Eigen::MatrixBase<DerivedA> & A,
+    const Eigen::MatrixBase<DerivedB> & B,
+    const Eigen::MatrixBase<DerivedC> & C);
+  // Same as above but use instrinsic edge lengths rather than (V,F) mesh. This
+  //
+  // Inputs:
+  //   l  #F by dim list of edge lengths using
+  //     for triangles, columns correspond to edges 23,31,12
+  //   nan_replacement  what value should be used for triangles whose given
+  //     edge lengths do not obey the triangle inequality. These may be very
+  //     wrong (e.g., [100 1 1]) or may be nearly degenerate triangles whose
+  //     floating point side length computation leads to breach of the triangle
+  //     inequality. One may wish to set this parameter to 0 if side lengths l
+  //     are _known_ to come from a valid embedding (e.g., some mesh (V,F)). In
+  //     that case, the only circumstance the triangle inequality is broken is
+  //     when the triangle is nearly degenerate and floating point error
+  //     dominates: hence replacing with zero is reasonable.
+  // Outputs:
+  //   dblA  #F list of triangle double areas
+  template <typename Derivedl, typename DeriveddblA>
+  IGL_INLINE void doublearea(
+    const Eigen::MatrixBase<Derivedl> & l,
+    const typename Derivedl::Scalar nan_replacement,
+    Eigen::PlainObjectBase<DeriveddblA> & dblA);
+  // default behavior is to assert on NaNs and leave them in place
+  template <typename Derivedl, typename DeriveddblA>
+  IGL_INLINE void doublearea(
+    const Eigen::MatrixBase<Derivedl> & l,
+    Eigen::PlainObjectBase<DeriveddblA> & dblA);
+  // DOUBLEAREA_QUAD computes twice the area for each input quadrilateral
+  //
+  // Inputs:
+  //   V  #V by dim list of mesh vertex positions
+  //   F  #F by simplex_size list of mesh faces (must be quadrilaterals)
+  // Outputs:
+  //   dblA  #F list of quadrilateral double areas
+  //
+  template <typename DerivedV, typename DerivedF, typename DeriveddblA>
+  IGL_INLINE void doublearea_quad(
+  const Eigen::MatrixBase<DerivedV> & V,
+  const Eigen::MatrixBase<DerivedF> & F,
+  Eigen::PlainObjectBase<DeriveddblA> & dblA);
+
+}
+
+#ifndef IGL_STATIC_LIBRARY
+#  include "doublearea.cpp"
+#endif
+
+#endif