maiamath.cpp File Reference

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Namespaces
namespace	maia
	Namespace for auxiliary functions/classes.
namespace	maia::math

Typedefs
using	maia::math::MFloatMatrix2d = Eigen::Matrix< MFloat, 2, 2 >
	all assume dense matrix calculations More...
using	maia::math::MFloatMatrix3d = Eigen::Matrix< MFloat, 3, 3 >
using	maia::math::MFloatMatrixXd = Eigen::Matrix< MFloat, Eigen::Dynamic, Eigen::Dynamic >
template<MInt nDim>
using	maia::math::MFloatMatrix = Eigen::Matrix< MFloat, nDim, nDim >
using	maia::math::MFloatVector2d = Eigen::Vector< MFloat, 2 >
using	maia::math::MFloatVector3d = Eigen::Vector< MFloat, 3 >
using	maia::math::MFloatVectorXd = Eigen::Vector< MFloat, Eigen::Dynamic >
template<MInt nDim>
using	maia::math::MFloatVector = Eigen::Vector< MFloat, nDim >
using	maia::math::MTriplet = Eigen::Triplet< MFloat >

Functions
template<typename T , std::size_t N>
Eigen::MatrixXd	maia::math::ConvertToEigenMatrix (std::array< std::array< T, N >, N > data)
	convert array to eigen matrix More...
template<typename T , std::size_t N>
void	maia::math::adjointRow (std::array< std::array< T, N >, N > &m, std::array< T, N > &A, const MInt r)
template void	maia::math::adjointRow< MFloat, 3 > (std::array< std::array< MFloat, 3 >, 3 > &m, std::array< MFloat, 3 > &A, const MInt)
template<typename T >
void	maia::math::adjoint1stRow4x4 (std::array< std::array< T, 4 >, 4 > &m, std::array< T, 4 > &A)
template void	maia::math::adjoint1stRow4x4< MFloat > (std::array< std::array< MFloat, 4 >, 4 > &m, std::array< MFloat, 4 > &A)
template<typename T , std::size_t N>
void	maia::math::adjoint1stRow (std::array< std::array< T, N >, N > &m, std::array< T, N > &A)
template void	maia::math::adjoint1stRow< MFloat, 4 > (std::array< std::array< MFloat, 4 >, 4 > &m, std::array< MFloat, 4 > &A)
template void	maia::math::adjoint1stRow< MFloat, 3 > (std::array< std::array< MFloat, 3 >, 3 > &m, std::array< MFloat, 3 > &A)
template<typename T , std::size_t N>
MFloat	maia::math::determinant (std::array< T, N > &m)
template MFloat	maia::math::determinant< MFloat, 2ul > (std::array< MFloat, 2ul > &)
template MFloat	maia::math::determinant< MFloat, 3ul > (std::array< MFloat, 3ul > &)
template MFloat	maia::math::determinant< MFloat, 4ul > (std::array< MFloat, 4ul > &)
template<typename T , std::size_t N>
MFloat	maia::math::determinant (std::array< std::array< T, N >, N > &m)
template MFloat	maia::math::determinant< MFloat, 2ul > (std::array< std::array< MFloat, 2ul >, 2ul > &)
template MFloat	maia::math::determinant< MFloat, 3ul > (std::array< std::array< MFloat, 3ul >, 3ul > &)
template MFloat	maia::math::determinant< MFloat, 4ul > (std::array< std::array< MFloat, 4ul >, 4ul > &)
void	maia::math::invert (MFloat *A, const MInt m, const MInt n)
template<class T >
void	maia::math::invert (T &A, T &AInv, const MInt m, const MInt n)
template void	maia::math::invert< ScratchSpace< MFloat > > (ScratchSpace< MFloat > &, ScratchSpace< MFloat > &, const MInt, const MInt)
template void	maia::math::invert< maia::tensor::Tensor< MFloat > > (maia::tensor::Tensor< MFloat > &, maia::tensor::Tensor< MFloat > &, const MInt, const MInt)
template<class T >
void	maia::math::invert (T &A, T &weights, T &AInv, const MInt m, const MInt n)
template void	maia::math::invert< ScratchSpace< MFloat > > (ScratchSpace< MFloat > &, ScratchSpace< MFloat > &, ScratchSpace< MFloat > &, const MInt, const MInt)
template void	maia::math::invert< maia::tensor::Tensor< MFloat > > (maia::tensor::Tensor< MFloat > &, maia::tensor::Tensor< MFloat > &, maia::tensor::Tensor< MFloat > &, const MInt, const MInt)
template<class T >
MInt	maia::math::invertR (T &A, T &weights, T &AInv, const MInt m, const MInt n)
template MInt	maia::math::invertR< ScratchSpace< MFloat > > (ScratchSpace< MFloat > &, ScratchSpace< MFloat > &, ScratchSpace< MFloat > &, const MInt, const MInt)
void	maia::math::solveSparseMatrix (MFloat *A_coeff, MInt **pos, const MInt n, const MInt m, MFloat *b, MFloat *x)
void	maia::math::solveSparseMatrixIterative (MFloat *A_coeff, MInt **pos, const MInt n, const MInt m, MFloat *b, MFloat *x)
void	maia::math::solveDenseMatrix (MFloat *A_coeff, MInt **pos, const MInt n, const MInt m, MFloat *b, MFloat *x)
void	maia::math::multiplySparseMatrixVector (MFloat *A_coeff, MInt **pos, const MInt n, const MInt m, MFloat *b, MFloat *x)
template<MInt nDim>
void	maia::math::solveQR (std::array< std::array< MFloat, nDim >, nDim > &A_, std::array< MFloat, nDim > &b_)
template void	maia::math::solveQR< 2 > (std::array< std::array< MFloat, 2 >, 2 > &, std::array< MFloat, 2 > &)
template void	maia::math::solveQR< 3 > (std::array< std::array< MFloat, 3 >, 3 > &, std::array< MFloat, 3 > &)
void	maia::math::calcEigenValues (MFloat A[3][3], MFloat w[3])
void	maia::math::calcEigenValues (MFloat **A_in, MFloat *lambda_in, const MInt m)
void	maia::math::calcEigenVectors (MFloat A[3][3], MFloat Q[3][3], MFloat w[3])
std::vector< MFloat >	maia::math::svd (MFloat *const A, MFloat *const b, const MInt m, const MInt n, MFloat *const x)