24   typedef typename HyperplaneType::Scalar Scalar;  in hyperplane()  typedef
25   typedef Matrix<Scalar, HyperplaneType::AmbientDimAtCompileTime, 1> VectorType;  in hyperplane()
26   typedef Matrix<Scalar, HyperplaneType::AmbientDimAtCompileTime,  in hyperplane()
39   Scalar s0 = internal::random<Scalar>();  in hyperplane()
40   Scalar s1 = internal::random<Scalar>();  in hyperplane()
42   VERIFY_IS_APPROX( n1.dot(n1), Scalar(1) );  in hyperplane()
44   VERIFY_IS_MUCH_SMALLER_THAN( pl0.absDistance(p0), Scalar(1) );  in hyperplane()
46   VERIFY_IS_MUCH_SMALLER_THAN( pl1.signedDistance(pl1.projection(p0)), Scalar(1) );  in hyperplane()
47 …VERIFY_IS_MUCH_SMALLER_THAN( pl1.absDistance(p1 +  pl1.normal().unitOrthogonal() * s1), Scalar(1) …  in hyperplane()
50   if (!NumTraits<Scalar>::IsComplex)  in hyperplane()
53     DiagonalMatrix<Scalar,HyperplaneType::AmbientDimAtCompileTime> scaling(VectorType::Random());  in hyperplane()
54     Translation<Scalar,HyperplaneType::AmbientDimAtCompileTime> translation(VectorType::Random());  in hyperplane()
57     VERIFY_IS_MUCH_SMALLER_THAN( pl2.transform(rot).absDistance(rot * p1), Scalar(1) );  in hyperplane()
59     VERIFY_IS_MUCH_SMALLER_THAN( pl2.transform(rot,Isometry).absDistance(rot * p1), Scalar(1) );  in hyperplane()
61 …VERIFY_IS_MUCH_SMALLER_THAN( pl2.transform(rot*scaling).absDistance((rot*scaling) * p1), Scalar(1)…  in hyperplane()
64                                  .absDistance((rot*scaling*translation) * p1), Scalar(1) );  in hyperplane()
67                                  .absDistance((rot*translation) * p1), Scalar(1) );  in hyperplane()
72   typedef typename GetDifferentType<Scalar>::type OtherScalar;  in hyperplane()
74   VERIFY_IS_APPROX(hp1f.template cast<Scalar>(),pl1);  in hyperplane()
75   Hyperplane<Scalar,Dim,Options> hp1d = pl1.template cast<Scalar>();  in hyperplane()
76   VERIFY_IS_APPROX(hp1d.template cast<Scalar>(),pl1);  in hyperplane()
79 template<typename Scalar> void lines()  in lines()
82   typedef Hyperplane<Scalar, 2> HLine;  in lines()
83   typedef ParametrizedLine<Scalar, 2> PLine;  in lines()
84   typedef Matrix<Scalar,2,1> Vector;  in lines()
85   typedef Matrix<Scalar,3,1> CoeffsType;  in lines()
92     Scalar a = internal::random<Scalar>();  in lines()
93     while (abs(a-1) < 1e-4) a = internal::random<Scalar>();  in lines()
101     VERIFY_IS_APPROX(line_u.normal().norm(), Scalar(1));  in lines()
102     VERIFY_IS_APPROX(line_v.normal().norm(), Scalar(1));  in lines()
117 template<typename Scalar> void planes()  in planes()
120   typedef Hyperplane<Scalar, 3> Plane;  in planes()
121   typedef Matrix<Scalar,3,1> Vector;  in planes()
130       v2 += v1 * std::pow(internal::random<Scalar>(0,1),internal::random<int>(1,16));  in planes()
132       v2 += Vector::Random() * std::pow(internal::random<Scalar>(0,1),internal::random<int>(1,16));  in planes()
136     VERIFY_IS_APPROX(p0.normal().norm(), Scalar(1));  in planes()
137     VERIFY_IS_MUCH_SMALLER_THAN(p0.absDistance(v0), Scalar(1));  in planes()
138     VERIFY_IS_MUCH_SMALLER_THAN(p0.absDistance(v1), Scalar(1));  in planes()
139     VERIFY_IS_MUCH_SMALLER_THAN(p0.absDistance(v2), Scalar(1));  in planes()
143 template<typename Scalar> void hyperplane_alignment()  in hyperplane_alignment()
145   typedef Hyperplane<Scalar,3,AutoAlign> Plane3a;  in hyperplane_alignment()
146   typedef Hyperplane<Scalar,3,DontAlign> Plane3u;  in hyperplane_alignment()
148   EIGEN_ALIGN16 Scalar array1[4];  in hyperplane_alignment()
149   EIGEN_ALIGN16 Scalar array2[4];  in hyperplane_alignment()
150   EIGEN_ALIGN16 Scalar array3[4+1];  in hyperplane_alignment()
151   Scalar* array3u = array3+1;  in hyperplane_alignment()
165   if(internal::packet_traits<Scalar>::Vectorizable)  in hyperplane_alignment()