framed_multi.h File Reference

#include "glucat/global.h"
#include "glucat/errors.h"
#include "glucat/index_set.h"
#include "glucat/clifford_algebra.h"
#include "glucat/tuning.h"
#include <string>
#include <utility>
#include <map>
#include <unordered_map>
#include <vector>

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Classes
class	glucat::index_set_hash< LO, HI >
class	glucat::framed_multi< Scalar_T, LO, HI, Tune_P >
	A framed_multi<Scalar_T,LO,HI,Tune_P> is a framed approximation to a multivector. More...
class	glucat::framed_multi< Scalar_T, LO, HI, Tune_P >::hash_size_t
class	glucat::framed_multi< Scalar_T, LO, HI, Tune_P >::var_term
	Variable term. More...
struct	std::numeric_limits< glucat::framed_multi< Scalar_T, LO, HI, Tune_P > >
	Numeric limits for framed_multi inherit limits for the corresponding scalar type. More...

Namespaces
namespace	glucat
namespace	std

Functions
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::operator* (const framed_multi< Scalar_T, LO, HI, Tune_P > &lhs, const framed_multi< Scalar_T, LO, HI, Tune_P > &rhs) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Geometric product. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::operator^ (const framed_multi< Scalar_T, LO, HI, Tune_P > &lhs, const framed_multi< Scalar_T, LO, HI, Tune_P > &rhs) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Outer product. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::operator& (const framed_multi< Scalar_T, LO, HI, Tune_P > &lhs, const framed_multi< Scalar_T, LO, HI, Tune_P > &rhs) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Inner product. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::operator% (const framed_multi< Scalar_T, LO, HI, Tune_P > &lhs, const framed_multi< Scalar_T, LO, HI, Tune_P > &rhs) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Left contraction. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::star (const framed_multi< Scalar_T, LO, HI, Tune_P > &lhs, const framed_multi< Scalar_T, LO, HI, Tune_P > &rhs) -> Scalar_T
	Hestenes scalar product. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::operator/ (const framed_multi< Scalar_T, LO, HI, Tune_P > &lhs, const framed_multi< Scalar_T, LO, HI, Tune_P > &rhs) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Geometric quotient. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::operator| (const framed_multi< Scalar_T, LO, HI, Tune_P > &lhs, const framed_multi< Scalar_T, LO, HI, Tune_P > &rhs) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Transformation via twisted adjoint action. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::operator>> (std::istream &s, framed_multi< Scalar_T, LO, HI, Tune_P > &val) -> std::istream &
	Read multivector from input. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::operator<< (std::ostream &os, const framed_multi< Scalar_T, LO, HI, Tune_P > &val) -> std::ostream &
	Write multivector to output. More...
template<typename Scalar_T , const index_t LO, const index_t HI>
auto	glucat::operator<< (std::ostream &os, const std::pair< const index_set< LO, HI >, Scalar_T > &term) -> std::ostream &
	Write term to output. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::exp (const framed_multi< Scalar_T, LO, HI, Tune_P > &val) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Exponential of multivector. More...
template<typename Scalar_T , const index_t LO, const index_t HI>
static auto	glucat::crd_of_mult (const std::pair< const index_set< LO, HI >, Scalar_T > &lhs, const std::pair< const index_set< LO, HI >, Scalar_T > &rhs) -> Scalar_T
	Coordinate of product of terms. More...
template<typename Scalar_T , const index_t LO, const index_t HI>
auto	glucat::operator* (const std::pair< const index_set< LO, HI >, Scalar_T > &lhs, const std::pair< const index_set< LO, HI >, Scalar_T > &rhs) -> const std::pair< const index_set< LO, HI >, Scalar_T >
	Product of terms. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::sqrt (const framed_multi< Scalar_T, LO, HI, Tune_P > &val, const framed_multi< Scalar_T, LO, HI, Tune_P > &i, bool prechecked) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Square root of multivector with specified complexifier. More...
template<typename Scalar_T , const index_t LO, const index_t HI, typename Tune_P >
auto	glucat::log (const framed_multi< Scalar_T, LO, HI, Tune_P > &val, const framed_multi< Scalar_T, LO, HI, Tune_P > &i, bool prechecked) -> const framed_multi< Scalar_T, LO, HI, Tune_P >
	Natural logarithm of multivector with specified complexifier. More...