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/* |
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* Software License Agreement (BSD License) |
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* |
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* Copyright (c) 2011-2014, Willow Garage, Inc. |
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* Copyright (c) 2014-2015, Open Source Robotics Foundation |
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* All rights reserved. |
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* |
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* Redistribution and use in source and binary forms, with or without |
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* modification, are permitted provided that the following conditions |
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* are met: |
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* |
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* * Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* * Redistributions in binary form must reproduce the above |
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* copyright notice, this list of conditions and the following |
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* disclaimer in the documentation and/or other materials provided |
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* with the distribution. |
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* * Neither the name of Open Source Robotics Foundation nor the names of its |
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* contributors may be used to endorse or promote products derived |
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* from this software without specific prior written permission. |
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* |
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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* POSSIBILITY OF SUCH DAMAGE. |
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*/ |
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/** \author Jia Pan */ |
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#ifndef COAL_INTERSECT_H |
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#define COAL_INTERSECT_H |
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/// @cond INTERNAL |
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#include "coal/math/transform.h" |
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namespace coal { |
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/// @brief CCD intersect kernel among primitives |
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class COAL_DLLAPI Intersect { |
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public: |
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static bool buildTrianglePlane(const Vec3s& v1, const Vec3s& v2, |
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const Vec3s& v3, Vec3s* n, Scalar* t); |
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}; // class Intersect |
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/// @brief Project functions |
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template <typename _Scalar> |
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class Project { |
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public: |
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typedef _Scalar Scalar; |
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typedef Eigen::Matrix<Scalar, 3, 1> Vec3; |
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struct ProjectResult { |
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/// @brief Parameterization of the projected point (based on the simplex to |
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/// be projected, use 2 or 3 or 4 of the array) |
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Scalar parameterization[4]; |
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/// @brief square distance from the query point to the projected simplex |
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Scalar sqr_distance; |
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/// @brief the code of the projection type |
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unsigned int encode; |
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30562207 |
ProjectResult() : sqr_distance(-1), encode(0) {} |
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}; |
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/// @brief Project point p onto line a-b |
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static ProjectResult projectLine(const Vec3& a, const Vec3& b, const Vec3& p); |
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/// @brief Project point p onto triangle a-b-c |
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static ProjectResult projectTriangle(const Vec3& a, const Vec3& b, |
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const Vec3& c, const Vec3& p); |
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/// @brief Project point p onto tetrahedra a-b-c-d |
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static ProjectResult projectTetrahedra(const Vec3& a, const Vec3& b, |
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const Vec3& c, const Vec3& d, |
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const Vec3& p); |
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/// @brief Project origin (0) onto line a-b |
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static ProjectResult projectLineOrigin(const Vec3& a, const Vec3& b); |
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/// @brief Project origin (0) onto triangle a-b-c |
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static ProjectResult projectTriangleOrigin(const Vec3& a, const Vec3& b, |
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const Vec3& c); |
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/// @brief Project origin (0) onto tetrahedran a-b-c-d |
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static ProjectResult projectTetrahedraOrigin(const Vec3& a, const Vec3& b, |
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const Vec3& c, const Vec3& d); |
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}; |
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/// @brief Triangle distance functions |
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class COAL_DLLAPI TriangleDistance { |
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public: |
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/// @brief Returns closest points between an segment pair. |
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/// The first segment is P + t * A |
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/// The second segment is Q + t * B |
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/// X, Y are the closest points on the two segments |
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/// VEC is the vector between X and Y |
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static void segPoints(const Vec3s& P, const Vec3s& A, const Vec3s& Q, |
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const Vec3s& B, Vec3s& VEC, Vec3s& X, Vec3s& Y); |
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/// Compute squared distance between triangles |
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/// @param S and T are two triangles |
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/// @retval P, Q closest points if triangles do not intersect. |
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/// @return squared distance if triangles do not intersect, 0 otherwise. |
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/// If the triangles are disjoint, P and Q give the closet points of |
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/// S and T respectively. However, |
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/// if the triangles overlap, P and Q are basically a random pair of points |
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/// from the triangles, not coincident points on the intersection of the |
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/// triangles, as might be expected. |
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static Scalar sqrTriDistance(const Vec3s S[3], const Vec3s T[3], Vec3s& P, |
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Vec3s& Q); |
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static Scalar sqrTriDistance(const Vec3s& S1, const Vec3s& S2, |
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const Vec3s& S3, const Vec3s& T1, |
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const Vec3s& T2, const Vec3s& T3, Vec3s& P, |
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Vec3s& Q); |
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/// Compute squared distance between triangles |
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/// @param S and T are two triangles |
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/// @param R, Tl, rotation and translation applied to T, |
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/// @retval P, Q closest points if triangles do not intersect. |
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/// @return squared distance if triangles do not intersect, 0 otherwise. |
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/// If the triangles are disjoint, P and Q give the closet points of |
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/// S and T respectively. However, |
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/// if the triangles overlap, P and Q are basically a random pair of points |
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/// from the triangles, not coincident points on the intersection of the |
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/// triangles, as might be expected. |
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static Scalar sqrTriDistance(const Vec3s S[3], const Vec3s T[3], |
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const Matrix3s& R, const Vec3s& Tl, Vec3s& P, |
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Vec3s& Q); |
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/// Compute squared distance between triangles |
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/// @param S and T are two triangles |
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/// @param tf, rotation and translation applied to T, |
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/// @retval P, Q closest points if triangles do not intersect. |
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/// @return squared distance if triangles do not intersect, 0 otherwise. |
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/// If the triangles are disjoint, P and Q give the closet points of |
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/// S and T respectively. However, |
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/// if the triangles overlap, P and Q are basically a random pair of points |
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/// from the triangles, not coincident points on the intersection of the |
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/// triangles, as might be expected. |
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static Scalar sqrTriDistance(const Vec3s S[3], const Vec3s T[3], |
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const Transform3s& tf, Vec3s& P, Vec3s& Q); |
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/// Compute squared distance between triangles |
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/// @param S1, S2, S3 and T1, T2, T3 are triangle vertices |
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/// @param R, Tl, rotation and translation applied to T1, T2, T3, |
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/// @retval P, Q closest points if triangles do not intersect. |
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/// @return squared distance if triangles do not intersect, 0 otherwise. |
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/// If the triangles are disjoint, P and Q give the closet points of |
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/// S and T respectively. However, |
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/// if the triangles overlap, P and Q are basically a random pair of points |
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/// from the triangles, not coincident points on the intersection of the |
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/// triangles, as might be expected. |
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static Scalar sqrTriDistance(const Vec3s& S1, const Vec3s& S2, |
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const Vec3s& S3, const Vec3s& T1, |
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const Vec3s& T2, const Vec3s& T3, |
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const Matrix3s& R, const Vec3s& Tl, Vec3s& P, |
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Vec3s& Q); |
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/// Compute squared distance between triangles |
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/// @param S1, S2, S3 and T1, T2, T3 are triangle vertices |
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/// @param tf, rotation and translation applied to T1, T2, T3, |
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/// @retval P, Q closest points if triangles do not intersect. |
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/// @return squared distance if triangles do not intersect, 0 otherwise. |
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/// If the triangles are disjoint, P and Q give the closet points of |
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/// S and T respectively. However, |
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/// if the triangles overlap, P and Q are basically a random pair of points |
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/// from the triangles, not coincident points on the intersection of the |
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/// triangles, as might be expected. |
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static Scalar sqrTriDistance(const Vec3s& S1, const Vec3s& S2, |
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const Vec3s& S3, const Vec3s& T1, |
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const Vec3s& T2, const Vec3s& T3, |
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const Transform3s& tf, Vec3s& P, Vec3s& Q); |
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}; |
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} // namespace coal |
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/// @endcond |
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#include "coal/internal/intersect.hxx" |
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#endif |
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