glucat
0.8.2
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A matrix_multi<Scalar_T,LO,HI> is a matrix approximation to a multivector. More...
#include <framed_multi.h>
Public Types | |
typedef matrix_multi | multivector_t |
typedef multivector_t | matrix_multi_t |
typedef Scalar_T | scalar_t |
typedef index_set< LO, HI > | index_set_t |
typedef std::pair< const index_set_t, Scalar_T > | term_t |
typedef std::vector< Scalar_T > | vector_t |
typedef error< multivector_t > | error_t |
typedef framed_multi< Scalar_T, LO, HI > | framed_multi_t |
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typedef Scalar_T | scalar_t |
typedef index_set< LO, HI > | index_set_t |
typedef matrix_multi< Scalar_T, LO, HI > | multivector_t |
typedef std::pair< const index_set_t, Scalar_T > | pair_t |
typedef std::vector< Scalar_T > | vector_t |
Public Member Functions | |
~matrix_multi () | |
Destructor. More... | |
matrix_multi () | |
Default constructor. More... | |
template<typename Other_Scalar_T > | |
matrix_multi (const matrix_multi< Other_Scalar_T, LO, HI > &val) | |
Construct a multivector from a multivector with a different scalar type. More... | |
template<typename Other_Scalar_T > | |
matrix_multi (const matrix_multi< Other_Scalar_T, LO, HI > &val, const index_set_t frm, const bool prechecked=false) | |
Construct a multivector, within a given frame, from a given multivector. More... | |
matrix_multi (const multivector_t &val, const index_set_t frm, const bool prechecked=false) | |
Construct a multivector, within a given frame, from a given multivector. More... | |
matrix_multi (const index_set_t ist, const Scalar_T &crd=Scalar_T(1)) | |
Construct a multivector from an index set and a scalar coordinate. More... | |
matrix_multi (const index_set_t ist, const Scalar_T &crd, const index_set_t frm, const bool prechecked=false) | |
Construct a multivector, within a given frame, from an index set and a scalar coordinate. More... | |
matrix_multi (const Scalar_T &scr, const index_set_t frm=index_set_t()) | |
Construct a multivector from a scalar (within a frame, if given) More... | |
matrix_multi (const int scr, const index_set_t frm=index_set_t()) | |
Construct a multivector from an int (within a frame, if given) More... | |
matrix_multi (const vector_t &vec, const index_set_t frm, const bool prechecked=false) | |
Construct a multivector, within a given frame, from a given vector. More... | |
matrix_multi (const std::string &str) | |
Construct a multivector from a string: eg: "3+2{1,2}-6.1e-2{2,3}". More... | |
matrix_multi (const std::string &str, const index_set_t frm, const bool prechecked=false) | |
Construct a multivector, within a given frame, from a string: eg: "3+2{1,2}-6.1e-2{2,3}". More... | |
matrix_multi (const char *str) | |
Construct a multivector from a char*: eg: "3+2{1,2}-6.1e-2{2,3}". More... | |
matrix_multi (const char *str, const index_set_t frm, const bool prechecked=false) | |
Construct a multivector, within a given frame, from a char*: eg: "3+2{1,2}-6.1e-2{2,3}". More... | |
template<typename Other_Scalar_T > | |
matrix_multi (const framed_multi< Other_Scalar_T, LO, HI > &val) | |
Construct a multivector from a framed_multi_t. More... | |
template<typename Other_Scalar_T > | |
matrix_multi (const framed_multi< Other_Scalar_T, LO, HI > &val, const index_set_t frm, const bool prechecked=false) | |
Construct a multivector, within a given frame, from a framed_multi_t. More... | |
const matrix_multi_t | fast_matrix_multi (const index_set_t frm) const |
Use generalized FFT to construct a matrix_multi_t. More... | |
template<typename Other_Scalar_T > | |
const framed_multi< Other_Scalar_T, LO, HI > | fast_framed_multi () const |
Use inverse generalized FFT to construct a framed_multi_t. More... | |
_GLUCAT_CLIFFORD_ALGEBRA_OPERATIONS multivector_t & | operator= (const multivector_t &rhs) |
Assignment operator. More... | |
multivector_t & | operator+= (const term_t &rhs) |
Add a term, if non-zero. More... | |
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virtual | ~clifford_algebra () |
virtual bool | operator== (const multivector_t &val) const =0 |
Test for equality of multivectors. More... | |
virtual bool | operator== (const Scalar_T &scr) const =0 |
Test for equality of multivector and scalar. More... | |
virtual multivector_t & | operator+= (const multivector_t &rhs)=0 |
Geometric sum. More... | |
virtual multivector_t & | operator+= (const Scalar_T &scr)=0 |
Geometric sum of multivector and scalar. More... | |
virtual multivector_t & | operator-= (const multivector_t &rhs)=0 |
Geometric difference. More... | |
virtual const multivector_t | operator- () const =0 |
Unary -. More... | |
virtual multivector_t & | operator*= (const Scalar_T &scr)=0 |
Product of multivector and scalar. More... | |
virtual multivector_t & | operator*= (const multivector_t &rhs)=0 |
Geometric product. More... | |
virtual multivector_t & | operator%= (const multivector_t &rhs)=0 |
Contraction. More... | |
virtual multivector_t & | operator&= (const multivector_t &rhs)=0 |
Inner product. More... | |
virtual multivector_t & | operator^= (const multivector_t &rhs)=0 |
Outer product. More... | |
virtual multivector_t & | operator/= (const Scalar_T &scr)=0 |
Quotient of multivector and scalar. More... | |
virtual multivector_t & | operator/= (const multivector_t &rhs)=0 |
Geometric quotient. More... | |
virtual multivector_t & | operator|= (const multivector_t &rhs)=0 |
Transformation via twisted adjoint action. More... | |
virtual const multivector_t | inv () const =0 |
Geometric multiplicative inverse. More... | |
virtual const multivector_t | pow (int m) const =0 |
*this to the m More... | |
virtual const multivector_t | outer_pow (int m) const =0 |
Outer product power. More... | |
virtual const index_set_t | frame () const =0 |
Subalgebra generated by all generators of terms of given multivector. More... | |
virtual index_t | grade () const =0 |
Maximum of the grades of each term. More... | |
virtual Scalar_T | operator[] (const index_set_t ist) const =0 |
Subscripting: map from index set to scalar coordinate. More... | |
virtual const multivector_t | operator() (index_t grade) const =0 |
Pure grade-vector part. More... | |
virtual Scalar_T | scalar () const =0 |
Scalar part. More... | |
virtual const multivector_t | pure () const =0 |
Pure part. More... | |
virtual const multivector_t | even () const =0 |
Even part of multivector, sum of even grade terms. More... | |
virtual const multivector_t | odd () const =0 |
Odd part of multivector, sum of odd grade terms. More... | |
virtual const vector_t | vector_part () const =0 |
Vector part of multivector, as a vector_t with respect to frame() More... | |
virtual const vector_t | vector_part (const index_set_t frm, const bool prechecked) const =0 |
Vector part of multivector, as a vector_t with respect to frm. More... | |
virtual const multivector_t | involute () const =0 |
Main involution, each {i} is replaced by -{i} in each term, eg. {1} -> -{1}. More... | |
virtual const multivector_t | reverse () const =0 |
Reversion, eg. {1}*{2} -> {2}*{1}. More... | |
virtual const multivector_t | conj () const =0 |
Conjugation, reverse o involute == involute o reverse. More... | |
virtual Scalar_T | quad () const =0 |
Scalar_T quadratic form == (rev(x)*x)(0) More... | |
virtual Scalar_T | norm () const =0 |
Scalar_T norm == sum of norm of coordinates. More... | |
virtual Scalar_T | max_abs () const =0 |
Maximum of absolute values of components of multivector: multivector infinity norm. More... | |
virtual const multivector_t | truncated (const Scalar_T &limit=Scalar_T(DEFAULT_TRUNCATION)) const =0 |
Remove all terms with relative size smaller than limit. More... | |
virtual bool | isnan () const =0 |
Check if a multivector contains any IEEE NaN values. More... | |
virtual void | write (const std::string &msg="") const =0 |
Write formatted multivector to output. More... | |
virtual void | write (std::ofstream &ofile, const std::string &msg="") const =0 |
Write formatted multivector to file. More... | |
Static Public Member Functions | |
static const std::string | classname () |
Class name used in messages. More... | |
static const matrix_multi_t | random (const index_set_t frm, Scalar_T fill=Scalar_T(1)) |
Random multivector within a frame. More... | |
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static const std::string | classname () |
Private Types | |
typedef ublas::row_major | orientation_t |
typedef ublas::compressed_matrix< int, orientation_t > | basis_matrix_t |
typedef ublas::compressed_matrix< Scalar_T, orientation_t > | matrix_t |
typedef matrix_t::size_type | matrix_index_t |
Private Member Functions | |
template<typename Matrix_T > | |
matrix_multi (const Matrix_T &mtx, const index_set_t frm) | |
Construct a multivector within a given frame from a given matrix. More... | |
matrix_multi (const matrix_t &mtx, const index_set_t frm) | |
Construct a multivector within a given frame from a given matrix. More... | |
const basis_matrix_t | basis_element (const index_set< LO, HI > &ist) const |
Create a basis element matrix within the current frame. More... | |
Private Attributes | |
index_set_t | m_frame |
Index set representing the frame for the subalgebra which contains the multivector. More... | |
matrix_t | m_matrix |
Matrix value representing the multivector within the folded frame. More... | |
Friends | |
template<typename Other_Scalar_T , const index_t Other_LO, const index_t Other_HI> | |
class | framed_multi |
template<typename Other_Scalar_T , const index_t Other_LO, const index_t Other_HI> | |
class | matrix_multi |
const matrix_multi_t | operator* (const matrix_multi_t &lhs, const matrix_multi_t &rhs) |
const matrix_multi_t | operator^ (const matrix_multi_t &lhs, const matrix_multi_t &rhs) |
const matrix_multi_t | operator& (const matrix_multi_t &lhs, const matrix_multi_t &rhs) |
const matrix_multi_t | operator% (const matrix_multi_t &lhs, const matrix_multi_t &rhs) |
Scalar_T | star (const matrix_multi_t &lhs, const matrix_multi_t &rhs) |
const matrix_multi_t | operator/ (const matrix_multi_t &lhs, const matrix_multi_t &rhs) |
const matrix_multi_t | operator| (const matrix_multi_t &lhs, const matrix_multi_t &rhs) |
std::istream & | operator>> (std::istream &s, multivector_t &val) |
std::ostream & | operator<< (std::ostream &os, const multivector_t &val) |
std::ostream & | operator<< (std::ostream &os, const term_t &term) |
template<typename Other_Scalar_T , const index_t Other_LO, const index_t Other_HI> | |
const index_set< Other_LO, Other_HI > | reframe (const matrix_multi< Other_Scalar_T, Other_LO, Other_HI > &lhs, const matrix_multi< Other_Scalar_T, Other_LO, Other_HI > &rhs, matrix_multi< Other_Scalar_T, Other_LO, Other_HI > &lhs_reframed, matrix_multi< Other_Scalar_T, Other_LO, Other_HI > &rhs_reframed) |
template<typename Other_Scalar_T , const index_t Other_LO, const index_t Other_HI> | |
const matrix_multi< Other_Scalar_T, Other_LO, Other_HI > | matrix_sqrt (const matrix_multi< Other_Scalar_T, Other_LO, Other_HI > &val, const matrix_multi< Other_Scalar_T, Other_LO, Other_HI > &i) |
template<typename Other_Scalar_T , const index_t Other_LO, const index_t Other_HI> | |
const matrix_multi< Other_Scalar_T, Other_LO, Other_HI > | matrix_log (const matrix_multi< Other_Scalar_T, Other_LO, Other_HI > &val, const matrix_multi< Other_Scalar_T, Other_LO, Other_HI > &i) |
A matrix_multi<Scalar_T,LO,HI> is a matrix approximation to a multivector.
Definition at line 68 of file framed_multi.h.
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Definition at line 152 of file matrix_multi.h.
typedef error<multivector_t> glucat::matrix_multi< Scalar_T, LO, HI >::error_t |
Definition at line 142 of file matrix_multi.h.
typedef framed_multi<Scalar_T,LO,HI> glucat::matrix_multi< Scalar_T, LO, HI >::framed_multi_t |
Definition at line 143 of file matrix_multi.h.
typedef index_set<LO,HI> glucat::matrix_multi< Scalar_T, LO, HI >::index_set_t |
Definition at line 139 of file matrix_multi.h.
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Definition at line 159 of file matrix_multi.h.
typedef multivector_t glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi_t |
Definition at line 137 of file matrix_multi.h.
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Definition at line 157 of file matrix_multi.h.
typedef matrix_multi glucat::matrix_multi< Scalar_T, LO, HI >::multivector_t |
Definition at line 136 of file matrix_multi.h.
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Definition at line 150 of file matrix_multi.h.
typedef Scalar_T glucat::matrix_multi< Scalar_T, LO, HI >::scalar_t |
Definition at line 138 of file matrix_multi.h.
typedef std::pair<const index_set_t, Scalar_T> glucat::matrix_multi< Scalar_T, LO, HI >::term_t |
Definition at line 140 of file matrix_multi.h.
typedef std::vector<Scalar_T> glucat::matrix_multi< Scalar_T, LO, HI >::vector_t |
Definition at line 141 of file matrix_multi.h.
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Destructor.
Definition at line 165 of file matrix_multi.h.
References PyClical::ist, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | ) |
Default constructor.
Definition at line 97 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix.
Referenced by glucat::folded_dim(), glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), and glucat::matrix_multi< Scalar_T, LO, HI >::~matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const matrix_multi< Other_Scalar_T, LO, HI > & | val | ) |
Construct a multivector from a multivector with a different scalar type.
Definition at line 106 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const matrix_multi< Other_Scalar_T, LO, HI > & | val, |
const index_set_t | frm, | ||
const bool | prechecked = false |
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Construct a multivector, within a given frame, from a given multivector.
Definition at line 128 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const multivector_t & | val, |
const index_set_t | frm, | ||
const bool | prechecked = false |
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Construct a multivector, within a given frame, from a given multivector.
Definition at line 156 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const index_set_t | ist, |
const Scalar_T & | crd = Scalar_T(1) |
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Construct a multivector from an index set and a scalar coordinate.
Definition at line 168 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const index_set_t | ist, |
const Scalar_T & | crd, | ||
const index_set_t | frm, | ||
const bool | prechecked = false |
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Construct a multivector, within a given frame, from an index set and a scalar coordinate.
Definition at line 180 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const Scalar_T & | scr, |
const index_set_t | frm = index_set_t() |
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Construct a multivector from a scalar (within a frame, if given)
Definition at line 194 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const int | scr, |
const index_set_t | frm = index_set_t() |
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Construct a multivector from an int (within a frame, if given)
Definition at line 206 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const vector_t & | vec, |
const index_set_t | frm, | ||
const bool | prechecked = false |
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Construct a multivector, within a given frame, from a given vector.
Definition at line 212 of file matrix_multi_imp.h.
References glucat::index_set< LO, HI >::count(), glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), glucat::index_set< LO, HI >::max(), and glucat::index_set< LO, HI >::min().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const std::string & | str | ) |
Construct a multivector from a string: eg: "3+2{1,2}-6.1e-2{2,3}".
Definition at line 239 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const std::string & | str, |
const index_set_t | frm, | ||
const bool | prechecked = false |
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Construct a multivector, within a given frame, from a string: eg: "3+2{1,2}-6.1e-2{2,3}".
Definition at line 245 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
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Construct a multivector from a char*: eg: "3+2{1,2}-6.1e-2{2,3}".
Definition at line 196 of file matrix_multi.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
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Construct a multivector, within a given frame, from a char*: eg: "3+2{1,2}-6.1e-2{2,3}".
Definition at line 199 of file matrix_multi.h.
References _GLUCAT_CLIFFORD_ALGEBRA_OPERATIONS, glucat::matrix_multi< Scalar_T, LO, HI >::basis_element(), glucat::matrix_multi< Scalar_T, LO, HI >::fast_framed_multi(), glucat::matrix_multi< Scalar_T, LO, HI >::fast_matrix_multi(), PyClical::fill, PyClical::i, glucat::matrix_multi< Scalar_T, LO, HI >::matrix_log, glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), glucat::matrix_multi< Scalar_T, LO, HI >::matrix_sqrt, glucat::matrix_multi< Scalar_T, LO, HI >::operator+=(), glucat::matrix_multi< Scalar_T, LO, HI >::operator=(), glucat::matrix_multi< Scalar_T, LO, HI >::random(), and glucat::matrix_multi< Scalar_T, LO, HI >::reframe.
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const framed_multi< Other_Scalar_T, LO, HI > & | val | ) |
Construct a multivector from a framed_multi_t.
Definition at line 252 of file matrix_multi_imp.h.
References PyClical::e(), glucat::tuning< Mult_Matrix_Threshold, Div_Max_Steps, Sqrt_Max_Steps, Log_Max_Outer_Steps, Log_Max_Inner_Steps, Basis_Max_Count, Fast_Size_Threshold, Inv_Fast_Dim_Threshold, Products_Size_Threshold, Function_Precision >::fast_size_threshold, glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi | ( | const framed_multi< Other_Scalar_T, LO, HI > & | val, |
const index_set_t | frm, | ||
const bool | prechecked = false |
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Construct a multivector, within a given frame, from a framed_multi_t.
Definition at line 279 of file matrix_multi_imp.h.
References PyClical::e(), glucat::tuning< Mult_Matrix_Threshold, Div_Max_Steps, Sqrt_Max_Steps, Log_Max_Outer_Steps, Log_Max_Inner_Steps, Basis_Max_Count, Fast_Size_Threshold, Inv_Fast_Dim_Threshold, Products_Size_Threshold, Function_Precision >::fast_size_threshold, glucat::clifford_algebra< Scalar_T, index_set< LO, HI >, framed_multi< Scalar_T, LO, HI > >::frame(), glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
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Construct a multivector within a given frame from a given matrix.
Definition at line 307 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
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Construct a multivector within a given frame from a given matrix.
Definition at line 328 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::operator=().
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Create a basis element matrix within the current frame.
Definition at line 1243 of file matrix_multi_imp.h.
References glucat::tuning< Mult_Matrix_Threshold, Div_Max_Steps, Sqrt_Max_Steps, Log_Max_Outer_Steps, Log_Max_Inner_Steps, Basis_Max_Count, Fast_Size_Threshold, Inv_Fast_Dim_Threshold, Products_Size_Threshold, Function_Precision >::basis_max_count, glucat::index_set< LO, HI >::count(), PyClical::e(), glucat::index_set< LO, HI >::fold(), glucat::gen::generator_table< Matrix_T >::generator(), glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, glucat::index_set< LO, HI >::max(), glucat::index_set< LO, HI >::min(), glucat::matrix::mono_prod(), and glucat::offset_level().
Referenced by glucat::framed_multi< Scalar_T, LO, HI >::framed_multi(), glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), glucat::operator>>(), and glucat::operator|().
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Class name used in messages.
Definition at line 69 of file matrix_multi_imp.h.
const framed_multi< Other_Scalar_T, LO, HI > glucat::matrix_multi< Scalar_T, LO, HI >::fast_framed_multi | ( | ) | const |
Use inverse generalized FFT to construct a framed_multi_t.
Definition at line 1166 of file matrix_multi_imp.h.
References glucat::framed_multi< Scalar_T, LO, HI >::centre_pm4_qp4(), glucat::framed_multi< Scalar_T, LO, HI >::centre_pp4_qm4(), glucat::framed_multi< Scalar_T, LO, HI >::centre_qp1_pm1(), glucat::index_set< LO, HI >::count_neg(), glucat::index_set< LO, HI >::count_pos(), glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, glucat::gen::offset_to_super, glucat::pos_mod(), and glucat::framed_multi< Scalar_T, LO, HI >::unfold().
Referenced by glucat::matrix_multi< Scalar_T, LO, HI >::fast_matrix_multi(), and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
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Use generalized FFT to construct a matrix_multi_t.
Definition at line 1153 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::fast_framed_multi(), and glucat::matrix_multi< Scalar_T, LO, HI >::m_frame.
Referenced by glucat::fast(), and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
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Add a term, if non-zero.
Geometric sum.
Geometric sum of multivector and scalar.
Definition at line 470 of file matrix_multi_imp.h.
References glucat::clifford_algebra< Scalar_T, index_set< LO, HI >, matrix_multi< Scalar_T, LO, HI > >::isnan(), glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix, glucat::clifford_algebra< Scalar_T, index_set< LO, HI >, matrix_multi< Scalar_T, LO, HI > >::operator*=(), glucat::clifford_algebra< Scalar_T, index_set< LO, HI >, matrix_multi< Scalar_T, LO, HI > >::operator-(), glucat::clifford_algebra< Scalar_T, index_set< LO, HI >, matrix_multi< Scalar_T, LO, HI > >::operator-=(), and glucat::matrix_multi< Scalar_T, LO, HI >::reframe.
Referenced by glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), glucat::operator>>(), and glucat::reframe().
matrix_multi< Scalar_T, LO, HI > & glucat::matrix_multi< Scalar_T, LO, HI >::operator= | ( | const multivector_t & | rhs | ) |
Assignment operator.
Definition at line 336 of file matrix_multi_imp.h.
References glucat::matrix_multi< Scalar_T, LO, HI >::m_frame, and glucat::matrix_multi< Scalar_T, LO, HI >::m_matrix.
Referenced by glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), and glucat::basis_table< Scalar_T, LO, HI, Matrix_T >::~basis_table().
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Random multivector within a frame.
Definition at line 996 of file matrix_multi_imp.h.
References glucat::framed_multi< Scalar_T, LO, HI >::random(), and glucat::clifford_algebra< Scalar_T, index_set< LO, HI >, matrix_multi< Scalar_T, LO, HI > >::write().
Referenced by glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), and glucat::operator|().
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Definition at line 145 of file matrix_multi.h.
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Referenced by glucat::log(), glucat::matrix_log(), and glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi().
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Definition at line 147 of file matrix_multi.h.
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Referenced by glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), glucat::matrix_sqrt(), and glucat::sqrt().
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Index set representing the frame for the subalgebra which contains the multivector.
Definition at line 275 of file matrix_multi.h.
Referenced by glucat::matrix_multi< Scalar_T, LO, HI >::basis_element(), glucat::matrix_multi< Scalar_T, LO, HI >::fast_framed_multi(), glucat::matrix_multi< Scalar_T, LO, HI >::fast_matrix_multi(), glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), glucat::operator*(), glucat::matrix_multi< Scalar_T, LO, HI >::operator+=(), glucat::operator/(), glucat::matrix_multi< Scalar_T, LO, HI >::operator=(), glucat::operator|(), and glucat::reframe().
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Matrix value representing the multivector within the folded frame.
Definition at line 277 of file matrix_multi.h.
Referenced by glucat::matrix_multi< Scalar_T, LO, HI >::fast_framed_multi(), glucat::framed_multi< Scalar_T, LO, HI >::framed_multi(), glucat::matrix_multi< Scalar_T, LO, HI >::matrix_multi(), glucat::matrix_multi< Scalar_T, LO, HI >::operator+=(), glucat::matrix_multi< Scalar_T, LO, HI >::operator=(), glucat::operator>>(), glucat::operator|(), and glucat::reframe().