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69 lines
2.4 KiB
69 lines
2.4 KiB
1 year ago
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// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2016 Alec Jacobson <alecjacobson@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla Public License
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// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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// obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef IGL_POINT_SIMPLEX_SQUARED_DISTANCE_H
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#define IGL_POINT_SIMPLEX_SQUARED_DISTANCE_H
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#include "igl_inline.h"
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#include <Eigen/Core>
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namespace igl
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{
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/// Determine squared distance from a point to linear simplex.
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///
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/// @param[in] p d-long query point
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/// @param[in] V #V by d list of vertices
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/// @param[in] Ele #Ele by ss<=d+1 list of simplex indices into V
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/// @param[in] i index into Ele of simplex
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/// @param[out] sqr_d squared distance of Ele(i) to p
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/// @param[out] c closest point on Ele(i)
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///
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template <
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int DIM,
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typename Derivedp,
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typename DerivedV,
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typename DerivedEle,
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typename Derivedsqr_d,
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typename Derivedc>
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IGL_INLINE void point_simplex_squared_distance(
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const Eigen::MatrixBase<Derivedp> & p,
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedEle> & Ele,
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const typename DerivedEle::Index i,
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Derivedsqr_d & sqr_d,
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Eigen::PlainObjectBase<Derivedc> & c);
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/// Determine squared distance from a point to linear simplex.
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/// Also return barycentric coordinate of closest point.
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///
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/// @param[in] p d-long query point
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/// @param[in] V #V by d list of vertices
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/// @param[in] Ele #Ele by ss<=d+1 list of simplex indices into V
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/// @param[in] i index into Ele of simplex
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/// @param[out] sqr_d squared distance of Ele(i) to p
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/// @param[out] c closest point on Ele(i)
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/// @param[out] b barycentric coordinates of closest point on Ele(i)
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///
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template <
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int DIM,
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typename Derivedp,
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typename DerivedV,
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typename DerivedEle,
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typename Derivedsqr_d,
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typename Derivedc,
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typename Derivedb>
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IGL_INLINE void point_simplex_squared_distance(
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const Eigen::MatrixBase<Derivedp> & p,
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedEle> & Ele,
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const typename DerivedEle::Index i,
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Derivedsqr_d & sqr_d,
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Eigen::PlainObjectBase<Derivedc> & c,
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Eigen::PlainObjectBase<Derivedb> & b);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "point_simplex_squared_distance.cpp"
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#endif
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#endif
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