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76 lines
4.3 KiB
76 lines
4.3 KiB
1 year ago
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#include "internal_angles_intrinsic.h"
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#include "parallel_for.h"
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template <typename DerivedL, typename DerivedK>
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IGL_INLINE void igl::internal_angles_intrinsic(
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const Eigen::MatrixBase<DerivedL>& L_sq,
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Eigen::PlainObjectBase<DerivedK> & K)
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{
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typedef typename DerivedL::Index Index;
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assert(L_sq.cols() == 3 && "Edge-lengths should come from triangles");
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const Index m = L_sq.rows();
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K.resize(m,3);
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parallel_for(
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m,
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[&L_sq,&K](const Index f)
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{
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for(size_t d = 0;d<3;d++)
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{
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const auto & s1 = L_sq(f,d);
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const auto & s2 = L_sq(f,(d+1)%3);
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const auto & s3 = L_sq(f,(d+2)%3);
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using Scalar = typename DerivedK::Scalar;
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K(f,d) = std::acos((s3 + s2 - s1)/(Scalar(2)*std::sqrt(s3*s2)));
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//// See https://github.com/libigl/libigl/issues/1463
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//// Kahan's method
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//auto c = sqrt(L_sq(f,d));
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//auto a = sqrt(L_sq(f,(d+1)%3));
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//auto b = sqrt(L_sq(f,(d+2)%3));
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//// If necessary, swap a and b so that a ≥ b .
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//if(a<b){ std::swap(a,b); }
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//// Then perform two more comparisons to decide whether and how to
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//// compute an intermediate quantity µ thus:
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//using Scalar = typename DerivedK::Scalar;
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//Scalar mu;
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//if(b>=c && c>=0)
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//{
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// mu = c-(a-b);
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//}else if(c>b && b>=0)
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//{
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// mu = b-(a-c);
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//}else
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//{
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// // the data are not side–lengths of a real triangle
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// K(f,d) = std::numeric_limits<Scalar>::quiet_NaN();
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// continue;
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//}
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//// mu has been computed, attempt to compute angle
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//K(f,d) = 2.0*atan(sqrt(((a-b)+c)*mu/((a+(b+c))*((a-c)+b)) ));
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}
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},
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1000l);
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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::internal_angles_intrinsic<Eigen::Matrix<float, -1, 1, 0, -1, 1>, Eigen::Matrix<float, -1, -1, 0, -1, -1>>(Eigen::MatrixBase<Eigen::Matrix<float, -1, 1, 0, -1, 1>> const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, -1, 0, -1, -1>>&);
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// generated by autoexplicit.sh
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template void igl::internal_angles_intrinsic<Eigen::Matrix<double, -1, 1, 0, -1, 1>, Eigen::Matrix<double, -1, -1, 0, -1, -1>>(Eigen::MatrixBase<Eigen::Matrix<double, -1, 1, 0, -1, 1>> const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1>>&);
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// generated by autoexplicit.sh
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template void igl::internal_angles_intrinsic<Eigen::Matrix<float, -1, -1, 0, -1, -1>, Eigen::Matrix<float, -1, -1, 0, -1, -1>>(Eigen::MatrixBase<Eigen::Matrix<float, -1, -1, 0, -1, -1>> const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, -1, 0, -1, -1>>&);
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// generated by autoexplicit.sh
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template void igl::internal_angles_intrinsic<Eigen::Matrix<float, -1, 3, 0, -1, 3>, Eigen::Matrix<float, -1, 3, 0, -1, 3>>(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 0, -1, 3>> const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, 3, 0, -1, 3>>&);
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// generated by autoexplicit.sh
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template void igl::internal_angles_intrinsic<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 3, 0, -1, 3>>(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1>> const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3>>&);
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// generated by autoexplicit.sh
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template void igl::internal_angles_intrinsic<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, 3, 0, -1, 3>>(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3>> const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3>>&);
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// generated by autoexplicit.sh
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template void igl::internal_angles_intrinsic<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, -1, 0, -1, -1>>(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3>> const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1>>&);
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// generated by autoexplicit.sh
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template void igl::internal_angles_intrinsic<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
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template void igl::internal_angles_intrinsic<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
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#endif
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