#include "glucat/global.h"#include "glucat/errors.h"#include "glucat/index_set.h"#include "glucat/clifford_algebra.h"#include "glucat/framed_multi.h"#include <boost/numeric/ublas/fwd.hpp>#include <fstream>#include <string>#include <utility>#include <vector>
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Classes | |
| singleton | glucat::framed_multi< Scalar_T, LO, HI > |
| A framed_multi<Scalar_T,LO,HI> is a framed approximation to a multivector. More... | |
| class | glucat::matrix_multi< Scalar_T, LO, HI > |
| A matrix_multi<Scalar_T,LO,HI> is a matrix approximation to a multivector. More... | |
| class | glucat::matrix_multi< Scalar_T, LO, HI > |
| A matrix_multi<Scalar_T,LO,HI> is a matrix approximation to a multivector. More... | |
| struct | std::numeric_limits< glucat::matrix_multi< Scalar_T, LO, HI > > |
| Numeric limits for matrix_multi inherit limits for the corresponding scalar type. More... | |
Namespaces | |
| glucat | |
| std | |
Functions | |
| 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::istream & | glucat::operator>> (std::istream &s, matrix_multi< Scalar_T, LO, HI > &val) |
| Read multivector from input. 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> | |
| 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::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> | |
| 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... | |
