. Listing-a, 1: Code example in CGA with Garamon

. //-authors, Stephane Breuils and Vincent Nozick // Contact: vincent.nozick@u-pem.fr class Mvec

, Compute the outer product between two homogeneous multivectors mv1 (grade 0) and mv2 (grade 0)

, /// \tparam the type of value that we manipulate, either float or double or something

, /// \param mv1 -the first homogeneous multivector of grade 0 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 0 represented as a Eigen::VectorXd /// \param mv3 -the result of mv1^mv2, p.0

, template<typename T> void outer_0_0(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3

, /// \param mv1 -the first homogeneous multivector of grade 0 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 1 represented as a Eigen::VectorXd /// \param mv3 -the result of mv1^mv2, p.1

, template<typename T> void outer_0_1(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3 += mv1

, /// \param mv1 -the first homogeneous multivector of grade 0 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 2 represented as a Eigen::VectorXd outer_0_2(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 0 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 3 represented as a Eigen::VectorXd outer_0_3(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 0 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 4 represented as a Eigen::VectorXd outer_0_4(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 0 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 5 represented as a Eigen::VectorXd outer_0_5(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 1 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 0 represented as a Eigen::VectorXd outer_1_0(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 1 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 1 represented as a Eigen::VectorXd outer_1_1(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3

, /// \param mv1 -the first homogeneous multivector of grade 1 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 2 represented as a Eigen::VectorXd outer_1_2(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3.coeffRef(0) += mv1.coeff(0)*mv2

, ) += mv1.coeff(0)*mv2.coeff(6) -mv1.coeff(1)*mv2.coeff(3) + mv1

, ) += mv1.coeff(1)*mv2.coeff(8) -mv1.coeff(2)*mv2.coeff(6) + mv1

, += mv1.coeff(2)*mv2.coeff(9) -mv1.coeff(3)*mv2.coeff(8) + mv1

, /// \param mv1 -the first homogeneous multivector of grade 1 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 3 represented as a Eigen::VectorXd outer_1_3(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T

, coeff(7) -mv1.coeff(1)*mv2.coeff(4) + mv1.coeff(2)*mv2.coeff(2) -mv1, mv3.coeffRef(1) += mv1.coeff(0)*mv2

, ) += mv1.coeff(0)*mv2.coeff(8) -mv1.coeff(1)*mv2.coeff(5) + mv1.coeff(3)*mv2.coeff(2) -mv1

, /// \param mv1 -the first homogeneous multivector of grade 1 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 4 represented as a Eigen::VectorXd outer_1_4(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3

, /// \param mv1 -the first homogeneous multivector of grade 2 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 0 represented as a Eigen::VectorXd outer_2_0(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 2 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 1 represented as a Eigen::VectorXd outer_2_1(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3.coeffRef(0) += mv1

, /// \param mv1 -the first homogeneous multivector of grade 2 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 2 represented as a Eigen::VectorXd outer_2_2(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3

, coeff(8) -mv1.coeff(1)*mv2.coeff(6) + mv1.coeff(3)*mv2.coeff(4) + mv1, mv3.coeffRef(1) += mv1.coeff(0)*mv2

, )*mv2.coeff(6) + mv1.coeff(3)*mv2.coeff(5) + mv1.coeff(5)*mv2.coeff(3) -mv1.coeff(6)*mv2.coeff(2) + mv1

, coeff(1)*mv2.coeff(9) -mv1.coeff(2)*mv2.coeff(8) + mv1.coeff(3)*mv2.coeff(7) + mv1

, /// \param mv1 -the first homogeneous multivector of grade 2 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 3 represented as a Eigen::VectorXd outer_2_3(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){

, coeff(5) -mv1.coeff(5)*mv2.coeff(4) + mv1.coeff(6)*mv2.coeff(3) + mv1.coeff(7)*mv2.coeff(2) -mv1.coeff(8)*mv2, + mv1.coeff(4)*mv2

, /// \param mv1 -the first homogeneous multivector of grade 3 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 0 represented as a Eigen::VectorXd outer_3_0(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 3 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 1 represented as a Eigen::VectorXd outer_3_1(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T

, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3.coeffRef(0) += mv1.coeff(0)*mv2.coeff(9) -mv1.coeff(1)*mv2.coeff(8) + mv1, /// \param mv1 -the first homogeneous multivector of grade 3 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 2 represented as a Eigen::VectorXd outer_3_2(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 4 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 0 represented as a Eigen::VectorXd outer_4_0(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

, /// \param mv1 -the first homogeneous multivector of grade 4 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 1 represented as a Eigen::VectorXd outer_4_1(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2, Eigen::Matrix<T, Eigen::Dynamic, 1>& mv3){ mv3

, /// \param mv1 -the first homogeneous multivector of grade 5 represented as an Eigen::VectorXd /// \param mv2 -the second homogeneous multivector of grade 0 represented as a Eigen::VectorXd outer_5_0(const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv1, const Eigen::Matrix<T, Eigen::Dynamic, 1>& mv2

. {}, . {}, . {}, . {}, . {} et al., Dynamic,1> &, const Eigen::Matrix<T, Eigen::Dynamic,1>&, Eigen::Matrix<T,Eigen::Dynamic,1>&)>,6>,6> outerFunctionsContainer={{ {{outer_0_0<T>

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