11 #ifndef EIGEN_ORTHOMETHODS_H
12 #define EIGEN_ORTHOMETHODS_H
27 template<
typename Derived>
28 template<
typename OtherDerived>
29 #ifndef EIGEN_PARSED_BY_DOXYGEN
30 EIGEN_DEVICE_FUNC
inline typename MatrixBase<Derived>::template cross_product_return_type<OtherDerived>::type
32 inline typename MatrixBase<Derived>::PlainObject
36 EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Derived,3)
37 EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(OtherDerived,3)
41 typename internal::nested_eval<Derived,2>::type lhs(derived());
42 typename internal::nested_eval<OtherDerived,2>::type rhs(other.
derived());
43 return typename cross_product_return_type<OtherDerived>::type(
44 numext::conj(lhs.coeff(1) * rhs.coeff(2) - lhs.coeff(2) * rhs.coeff(1)),
45 numext::conj(lhs.coeff(2) * rhs.coeff(0) - lhs.coeff(0) * rhs.coeff(2)),
46 numext::conj(lhs.coeff(0) * rhs.coeff(1) - lhs.coeff(1) * rhs.coeff(0))
52 template<
int Arch,
typename VectorLhs,
typename VectorRhs,
53 typename Scalar =
typename VectorLhs::Scalar,
54 bool Vectorizable = bool((VectorLhs::Flags&VectorRhs::Flags)&
PacketAccessBit)>
56 EIGEN_DEVICE_FUNC
static inline typename internal::plain_matrix_type<VectorLhs>::type
57 run(
const VectorLhs& lhs,
const VectorRhs& rhs)
59 return typename internal::plain_matrix_type<VectorLhs>::type(
60 numext::conj(lhs.coeff(1) * rhs.coeff(2) - lhs.coeff(2) * rhs.coeff(1)),
61 numext::conj(lhs.coeff(2) * rhs.coeff(0) - lhs.coeff(0) * rhs.coeff(2)),
62 numext::conj(lhs.coeff(0) * rhs.coeff(1) - lhs.coeff(1) * rhs.coeff(0)),
79 template<
typename Derived>
80 template<
typename OtherDerived>
81 EIGEN_DEVICE_FUNC
inline typename MatrixBase<Derived>::PlainObject
84 EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Derived,4)
85 EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(OtherDerived,4)
87 typedef typename internal::nested_eval<Derived,2>::type DerivedNested;
88 typedef typename internal::nested_eval<OtherDerived,2>::type OtherDerivedNested;
89 DerivedNested lhs(derived());
90 OtherDerivedNested rhs(other.
derived());
92 return internal::cross3_impl<Architecture::Target,
93 typename internal::remove_all<DerivedNested>::type,
94 typename internal::remove_all<OtherDerivedNested>::type>::run(lhs,rhs);
106 template<
typename ExpressionType,
int Direction>
107 template<
typename OtherDerived>
109 const typename VectorwiseOp<ExpressionType,Direction>::CrossReturnType
112 EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(OtherDerived,3)
113 EIGEN_STATIC_ASSERT((internal::is_same<Scalar, typename OtherDerived::Scalar>::value),
114 YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
116 typename internal::nested_eval<ExpressionType,2>::type mat(_expression());
117 typename internal::nested_eval<OtherDerived,2>::type vec(other.
derived());
119 CrossReturnType res(_expression().rows(),_expression().cols());
122 eigen_assert(CrossReturnType::RowsAtCompileTime==3 &&
"the matrix must have exactly 3 rows");
123 res.row(0) = (mat.row(1) * vec.coeff(2) - mat.row(2) * vec.coeff(1)).conjugate();
124 res.row(1) = (mat.row(2) * vec.coeff(0) - mat.row(0) * vec.coeff(2)).conjugate();
125 res.row(2) = (mat.row(0) * vec.coeff(1) - mat.row(1) * vec.coeff(0)).conjugate();
129 eigen_assert(CrossReturnType::ColsAtCompileTime==3 &&
"the matrix must have exactly 3 columns");
130 res.col(0) = (mat.col(1) * vec.coeff(2) - mat.col(2) * vec.coeff(1)).conjugate();
131 res.col(1) = (mat.col(2) * vec.coeff(0) - mat.col(0) * vec.coeff(2)).conjugate();
132 res.col(2) = (mat.col(0) * vec.coeff(1) - mat.col(1) * vec.coeff(0)).conjugate();
139 template<
typename Derived,
int Size = Derived::SizeAtCompileTime>
140 struct unitOrthogonal_selector
142 typedef typename plain_matrix_type<Derived>::type VectorType;
143 typedef typename traits<Derived>::Scalar Scalar;
147 static inline VectorType run(
const Derived& src)
149 VectorType perp = VectorType::Zero(src.size());
152 src.cwiseAbs().maxCoeff(&maxi);
155 RealScalar invnm = RealScalar(1)/(Vector2() << src.coeff(sndi),src.coeff(maxi)).finished().norm();
156 perp.coeffRef(maxi) = -numext::conj(src.coeff(sndi)) * invnm;
157 perp.coeffRef(sndi) = numext::conj(src.coeff(maxi)) * invnm;
163 template<
typename Derived>
164 struct unitOrthogonal_selector<Derived,3>
166 typedef typename plain_matrix_type<Derived>::type VectorType;
167 typedef typename traits<Derived>::Scalar Scalar;
168 typedef typename NumTraits<Scalar>::Real RealScalar;
170 static inline VectorType run(
const Derived& src)
180 if((!isMuchSmallerThan(src.x(), src.z()))
181 || (!isMuchSmallerThan(src.y(), src.z())))
183 RealScalar invnm = RealScalar(1)/src.template head<2>().norm();
184 perp.coeffRef(0) = -numext::conj(src.y())*invnm;
185 perp.coeffRef(1) = numext::conj(src.x())*invnm;
186 perp.coeffRef(2) = 0;
194 RealScalar invnm = RealScalar(1)/src.template tail<2>().norm();
195 perp.coeffRef(0) = 0;
196 perp.coeffRef(1) = -numext::conj(src.z())*invnm;
197 perp.coeffRef(2) = numext::conj(src.y())*invnm;
204 template<
typename Derived>
205 struct unitOrthogonal_selector<Derived,2>
207 typedef typename plain_matrix_type<Derived>::type VectorType;
209 static inline VectorType run(
const Derived& src)
210 {
return VectorType(-numext::conj(src.y()), numext::conj(src.x())).normalized(); }
224 template<
typename Derived>
225 EIGEN_DEVICE_FUNC
typename MatrixBase<Derived>::PlainObject
228 EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
229 return internal::unitOrthogonal_selector<Derived>::run(derived());
234 #endif // EIGEN_ORTHOMETHODS_H