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update bundled_deps
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QIDI TECH
123
bundled_deps/libigl/igl/copyleft/cgal/half_space_box.cpp
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123
bundled_deps/libigl/igl/copyleft/cgal/half_space_box.cpp
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#include "half_space_box.h"
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#include "assign_scalar.h"
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#include <CGAL/Point_3.h>
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#include <CGAL/Vector_3.h>
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template <typename DerivedV>
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IGL_INLINE void igl::copyleft::cgal::half_space_box(
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const CGAL::Plane_3<CGAL::Epeck> & P,
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const Eigen::MatrixBase<DerivedV> & V,
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Eigen::Matrix<CGAL::Epeck::FT,8,3> & BV,
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Eigen::Matrix<int,12,3> & BF)
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{
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typedef CGAL::Plane_3<CGAL::Epeck> Plane;
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typedef CGAL::Point_3<CGAL::Epeck> Point;
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typedef CGAL::Vector_3<CGAL::Epeck> Vector;
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typedef CGAL::Epeck::FT EScalar;
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Eigen::Matrix<typename DerivedV::Scalar,1,3> avg(0,0,0);
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for(int v = 0;v<V.rows();v++) for(int c = 0;c<V.cols();c++) avg(c) += V(v,c);
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avg /= V.rows();
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Point o3(avg(0),avg(1),avg(2));
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Point o2 = P.projection(o3);
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Vector u;
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EScalar max_sqrd = -1;
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for(int v = 0;v<V.rows();v++)
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{
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Vector v2 = P.projection(Point(V(v,0),V(v,1),V(v,2))) - o2;
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const EScalar sqrd = v2.squared_length();
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if(max_sqrd<0 || sqrd < max_sqrd)
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{
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u = v2;
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max_sqrd = sqrd;
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}
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}
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// L1 bbd
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const EScalar bbd =
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(EScalar(V.col(0).maxCoeff())- EScalar(V.col(0).minCoeff())) +
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(EScalar(V.col(1).maxCoeff())- EScalar(V.col(1).minCoeff())) +
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(EScalar(V.col(2).maxCoeff())- EScalar(V.col(2).minCoeff()));
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Vector n = P.orthogonal_vector();
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// now we have a center o2 and a vector u to the farthest point on the plane
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std::vector<Point> vBV;vBV.reserve(8);
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Vector v = CGAL::cross_product(u,n);
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// Scale u,v,n to be longer than bbd
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const auto & longer_than = [](const EScalar min_sqr, Vector & x)
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{
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assert(x.squared_length() > 0);
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while(x.squared_length() < min_sqr)
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{
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x = 2.*x;
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}
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};
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longer_than(bbd*bbd,u);
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longer_than(bbd*bbd,v);
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longer_than(bbd*bbd,n);
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vBV.emplace_back( o2 + u + v);
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vBV.emplace_back( o2 - u + v);
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vBV.emplace_back( o2 - u - v);
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vBV.emplace_back( o2 + u - v);
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vBV.emplace_back( o2 + u + v - n);
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vBV.emplace_back( o2 - u + v - n);
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vBV.emplace_back( o2 - u - v - n);
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vBV.emplace_back( o2 + u - v - n);
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BV.resize(8,3);
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for(int b = 0;b<8;b++)
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{
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igl::copyleft::cgal::assign_scalar(vBV[b].x(),BV(b,0));
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igl::copyleft::cgal::assign_scalar(vBV[b].y(),BV(b,1));
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igl::copyleft::cgal::assign_scalar(vBV[b].z(),BV(b,2));
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}
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BF.resize(12,3);
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BF<<
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1,0,2,
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2,0,3,
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4,5,6,
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4,6,7,
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0,1,4,
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4,1,5,
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1,2,5,
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5,2,6,
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2,3,6,
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6,3,7,
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3,0,7,
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7,0,4;
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}
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template <typename Derivedp, typename Derivedn, typename DerivedV>
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IGL_INLINE void igl::copyleft::cgal::half_space_box(
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const Eigen::MatrixBase<Derivedp> & p,
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const Eigen::MatrixBase<Derivedn> & n,
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const Eigen::MatrixBase<DerivedV> & V,
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Eigen::Matrix<CGAL::Epeck::FT,8,3> & BV,
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Eigen::Matrix<int,12,3> & BF)
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{
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typedef CGAL::Plane_3<CGAL::Epeck> Plane;
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typedef CGAL::Point_3<CGAL::Epeck> Point;
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typedef CGAL::Vector_3<CGAL::Epeck> Vector;
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Plane P(Point(p(0),p(1),p(2)),Vector(n(0),n(1),n(2)));
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return half_space_box(P,V,BV,BF);
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}
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template <typename Derivedequ, typename DerivedV>
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IGL_INLINE void igl::copyleft::cgal::half_space_box(
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const Eigen::MatrixBase<Derivedequ> & equ,
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const Eigen::MatrixBase<DerivedV> & V,
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Eigen::Matrix<CGAL::Epeck::FT,8,3> & BV,
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Eigen::Matrix<int,12,3> & BF)
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{
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typedef CGAL::Plane_3<CGAL::Epeck> Plane;
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Plane P(equ(0),equ(1),equ(2),equ(3));
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return half_space_box(P,V,BV,BF);
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}
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#ifdef IGL_STATIC_LIBRARY
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// Explicit template instantiation
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// generated by autoexplicit.sh
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template void igl::copyleft::cgal::half_space_box<Eigen::Matrix<double, -1, 3, 1, -1, 3> >(CGAL::Plane_3<CGAL::Epeck> const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 1, -1, 3> > const&, Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 8, 3, 0, 8, 3>&, Eigen::Matrix<int, 12, 3, 0, 12, 3>&);
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// generated by autoexplicit.sh
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template void igl::copyleft::cgal::half_space_box<Eigen::Matrix<float, -1, 3, 1, -1, 3> >(CGAL::Plane_3<CGAL::Epeck> const&, Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 1, -1, 3> > const&, Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 8, 3, 0, 8, 3>&, Eigen::Matrix<int, 12, 3, 0, 12, 3>&);
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template void igl::copyleft::cgal::half_space_box<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 1, 4, 1, 1, 4>, Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, 3, 0, -1, 3> >(Eigen::MatrixBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 1, 4, 1, 1, 4> > const&, Eigen::MatrixBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, 3, 0, -1, 3> > const&, Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 8, 3, 0, 8, 3>&, Eigen::Matrix<int, 12, 3, 0, 12, 3>&);
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template void igl::copyleft::cgal::half_space_box<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 1, 4, 1, 1, 4>, Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, 4, 0, -1, 4> >(Eigen::MatrixBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 1, 4, 1, 1, 4> > const&, Eigen::MatrixBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, 4, 0, -1, 4> > const&, Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 8, 3, 0, 8, 3>&, Eigen::Matrix<int, 12, 3, 0, 12, 3>&);
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template void igl::copyleft::cgal::half_space_box<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 1, 4, 1, 1, 4>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 1, 4, 1, 1, 4> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 8, 3, 0, 8, 3>&, Eigen::Matrix<int, 12, 3, 0, 12, 3>&);
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template void igl::copyleft::cgal::half_space_box<Eigen::Matrix<double, 1, 3, 1, 1, 3>, Eigen::Matrix<double, 1, 3, 1, 1, 3>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, 1, 3, 1, 1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<double, 1, 3, 1, 1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, 8, 3, 0, 8, 3>&, Eigen::Matrix<int, 12, 3, 0, 12, 3>&);
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#endif
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