#include "glucat/matrix_multi.h"#include "glucat/matrix.h"#include "glucat/generation.h"#include <boost/numeric/ublas/matrix.hpp>#include <boost/numeric/ublas/matrix_expression.hpp>#include <boost/numeric/ublas/matrix_proxy.hpp>#include <boost/numeric/ublas/matrix_sparse.hpp>#include <boost/numeric/ublas/operation.hpp>#include <boost/numeric/ublas/operation_sparse.hpp>#include <boost/numeric/ublas/triangular.hpp>#include <boost/numeric/ublas/lu.hpp>#include <fstream>#include <iomanip>
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Classes | |
| class | glucat::basis_table< Scalar_T, LO, HI, Matrix_T > |
| Table of basis elements used as a cache by basis_element() More... | |
Namespaces | |
| glucat | |
Functions | |
| index_t | glucat::offset_level (const index_t p, const index_t q) |
| Determine the log2 dim corresponding to signature p, q. More... | |
| template<typename Matrix_Index_T , const index_t LO, const index_t HI> | |
| static Matrix_Index_T | glucat::folded_dim (const index_set< LO, HI > &sub) |
| Determine the matrix dimension of the fold of a subalegbra. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const index_set< LO, HI > | glucat::reframe (const matrix_multi< Scalar_T, LO, HI > &lhs, const matrix_multi< Scalar_T, LO, HI > &rhs, matrix_multi< Scalar_T, LO, HI > &lhs_reframed, matrix_multi< Scalar_T, LO, HI > &rhs_reframed) |
| Find a common frame for operands of a binary operator. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::operator* (const matrix_multi< Scalar_T, LO, HI > &lhs, const matrix_multi< Scalar_T, LO, HI > &rhs) |
| Geometric product. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::operator^ (const matrix_multi< Scalar_T, LO, HI > &lhs, const matrix_multi< Scalar_T, LO, HI > &rhs) |
| Outer product. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::operator& (const matrix_multi< Scalar_T, LO, HI > &lhs, const matrix_multi< Scalar_T, LO, HI > &rhs) |
| Inner product. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::operator% (const matrix_multi< Scalar_T, LO, HI > &lhs, const matrix_multi< Scalar_T, LO, HI > &rhs) |
| Left contraction. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| Scalar_T | glucat::star (const matrix_multi< Scalar_T, LO, HI > &lhs, const matrix_multi< Scalar_T, LO, HI > &rhs) |
| Hestenes scalar product. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::operator/ (const matrix_multi< Scalar_T, LO, HI > &lhs, const matrix_multi< Scalar_T, LO, HI > &rhs) |
| Geometric quotient. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::operator| (const matrix_multi< Scalar_T, LO, HI > &lhs, const matrix_multi< Scalar_T, LO, HI > &rhs) |
| Transformation via twisted adjoint action. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| std::ostream & | glucat::operator<< (std::ostream &os, const matrix_multi< Scalar_T, LO, HI > &val) |
| Write multivector to output. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| std::istream & | glucat::operator>> (std::istream &s, matrix_multi< Scalar_T, LO, HI > &val) |
| Read multivector from input. More... | |
| template<typename Multivector_T , typename Matrix_T , typename Basis_Matrix_T > | |
| static Multivector_T | glucat::fast (const Matrix_T &X, index_t level) |
| Inverse generalized Fast Fourier Transform. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| static const matrix_multi < Scalar_T, LO, HI > | glucat::pade_approx (const int array_size, const Scalar_T a[], const Scalar_T b[], const matrix_multi< Scalar_T, LO, HI > &X) |
| Pade' approximation. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| static void | glucat::db_step (matrix_multi< Scalar_T, LO, HI > &M, matrix_multi< Scalar_T, LO, HI > &Y) |
| Single step of product form of Denman-Beavers square root iteration. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| static const matrix_multi < Scalar_T, LO, HI > | glucat::db_sqrt (const matrix_multi< Scalar_T, LO, HI > &val) |
| Product form of Denman-Beavers square root iteration. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::sqrt (const matrix_multi< Scalar_T, LO, HI > &val, const matrix_multi< Scalar_T, LO, HI > &i, bool prechecked) |
| Square root of multivector with specified complexifier. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::matrix_sqrt (const matrix_multi< Scalar_T, LO, HI > &val, const matrix_multi< Scalar_T, LO, HI > &i) |
| Square root of multivector with specified complexifier. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| static const matrix_multi < Scalar_T, LO, HI > | glucat::pade_log (const matrix_multi< Scalar_T, LO, HI > &val) |
| Pade' approximation of log. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| static const matrix_multi < Scalar_T, LO, HI > | glucat::cascade_log (const matrix_multi< Scalar_T, LO, HI > &val) |
| Incomplete square root cascade and Pade' approximation of log. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::log (const matrix_multi< Scalar_T, LO, HI > &val, const matrix_multi< Scalar_T, LO, HI > &i, bool prechecked) |
| Natural logarithm of multivector with specified complexifier. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::matrix_log (const matrix_multi< Scalar_T, LO, HI > &val, const matrix_multi< Scalar_T, LO, HI > &i) |
| Natural logarithm of multivector with specified complexifier. More... | |
| template<typename Scalar_T , const index_t LO, const index_t HI> | |
| const matrix_multi< Scalar_T, LO, HI > | glucat::exp (const matrix_multi< Scalar_T, LO, HI > &val) |
| Exponential of multivector. More... | |
