SHOGUN
3.2.1
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shogun matrix
Definition at line 26 of file Parameter.h.
Public Types | |
typedef T | Scalar |
Public Member Functions | |
SGMatrix () | |
SGMatrix (bool ref_counting) | |
SGMatrix (T *m, index_t nrows, index_t ncols, bool ref_counting=true) | |
SGMatrix (T *m, index_t nrows, index_t ncols, index_t offset) | |
SGMatrix (index_t nrows, index_t ncols, bool ref_counting=true) | |
SGMatrix (const SGMatrix &orig) | |
SGMatrix (EigenMatrixXt &mat) | |
operator EigenMatrixXtMap () const | |
virtual | ~SGMatrix () |
T * | get_column_vector (index_t col) const |
SGVector< T > | get_row_vector (index_t row) const |
SGVector< T > | get_diagonal_vector () const |
const T & | operator() (index_t i_row, index_t i_col) const |
const T & | operator[] (index_t index) const |
T & | operator() (index_t i_row, index_t i_col) |
T & | operator[] (index_t index) |
SGMatrix< T > | get () |
bool | operator== (SGMatrix< T > &other) |
bool | equals (SGMatrix< T > &other) |
void | set_const (T const_elem) |
void | zero () |
bool | is_symmetric () |
T | max_single () |
SGMatrix< T > | clone () |
void | compute_few_eigenvectors (double *matrix_, double *&eigenvalues, double *&eigenvectors, int n, int il, int iu) |
void | center () |
void | remove_column_mean () |
void | display_matrix (const char *name="matrix") const |
void | load (CFile *loader) |
void | save (CFile *saver) |
template<> | |
void | zero () |
template<> | |
bool | is_symmetric () |
template<> | |
bool | is_symmetric () |
template<> | |
bool | is_symmetric () |
template<> | |
bool | is_symmetric () |
template<> | |
complex128_t | max_single () |
template<> | |
void | display_matrix (const bool *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const char *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const int8_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const uint8_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const int16_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const uint16_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const int32_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const uint32_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const int64_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const uint64_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const float32_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const float64_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const floatmax_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
void | display_matrix (const complex128_t *matrix, int32_t rows, int32_t cols, const char *name, const char *prefix) |
template<> | |
SGMatrix< char > | create_identity_matrix (index_t size, char scale) |
template<> | |
SGMatrix< int8_t > | create_identity_matrix (index_t size, int8_t scale) |
template<> | |
SGMatrix< uint8_t > | create_identity_matrix (index_t size, uint8_t scale) |
template<> | |
SGMatrix< bool > | create_identity_matrix (index_t size, bool scale) |
template<> | |
SGMatrix< int16_t > | create_identity_matrix (index_t size, int16_t scale) |
template<> | |
SGMatrix< uint16_t > | create_identity_matrix (index_t size, uint16_t scale) |
template<> | |
SGMatrix< int32_t > | create_identity_matrix (index_t size, int32_t scale) |
template<> | |
SGMatrix< uint32_t > | create_identity_matrix (index_t size, uint32_t scale) |
template<> | |
SGMatrix< int64_t > | create_identity_matrix (index_t size, int64_t scale) |
template<> | |
SGMatrix< uint64_t > | create_identity_matrix (index_t size, uint64_t scale) |
template<> | |
SGMatrix< float32_t > | create_identity_matrix (index_t size, float32_t scale) |
template<> | |
SGMatrix< float64_t > | create_identity_matrix (index_t size, float64_t scale) |
template<> | |
SGMatrix< floatmax_t > | create_identity_matrix (index_t size, floatmax_t scale) |
template<> | |
SGMatrix< complex128_t > | create_identity_matrix (index_t size, complex128_t scale) |
template<> | |
void | load (CFile *loader) |
template<> | |
void | save (CFile *saver) |
int32_t | ref_count () |
Static Public Member Functions | |
static T * | clone_matrix (const T *matrix, int32_t nrows, int32_t ncols) |
static void | transpose_matrix (T *&matrix, int32_t &num_feat, int32_t &num_vec) |
static void | create_diagonal_matrix (T *matrix, T *v, int32_t size) |
static SGMatrix< T > | create_identity_matrix (index_t size, T scale) |
static SGVector< float64_t > | compute_eigenvectors (SGMatrix< float64_t > matrix) |
static double * | compute_eigenvectors (double *matrix, int n, int m) |
static SGMatrix< float64_t > | matrix_multiply (SGMatrix< float64_t > A, SGMatrix< float64_t > B, bool transpose_A=false, bool transpose_B=false, float64_t scale=1.0) |
static void | inverse (SGMatrix< float64_t > matrix) |
inverses square matrix in-place More... | |
static float64_t * | pinv (float64_t *matrix, int32_t rows, int32_t cols, float64_t *target=NULL) |
static float64_t | trace (float64_t *mat, int32_t cols, int32_t rows) |
static T * | get_row_sum (T *matrix, int32_t m, int32_t n) |
static T * | get_column_sum (T *matrix, int32_t m, int32_t n) |
static void | center_matrix (T *matrix, int32_t m, int32_t n) |
static void | display_matrix (const T *matrix, int32_t rows, int32_t cols, const char *name="matrix", const char *prefix="") |
static void | display_matrix (const SGMatrix< T > matrix, const char *name="matrix", const char *prefix="") |
static SGMatrix< T > | get_allocated_matrix (index_t num_rows, index_t num_cols, SGMatrix< T > pre_allocated=SGMatrix< T >()) |
Public Attributes | |
T * | matrix |
index_t | num_rows |
index_t | num_cols |
Protected Member Functions | |
virtual void | copy_data (const SGReferencedData &orig) |
virtual void | init_data () |
virtual void | free_data () |
void | copy_refcount (const SGReferencedData &orig) |
int32_t | ref () |
int32_t | unref () |
typedef T Scalar |
The scalar type of the matrix
Definition at line 40 of file SGMatrix.h.
SGMatrix | ( | ) |
Default constructor
Definition at line 30 of file SGMatrix.cpp.
SGMatrix | ( | bool | ref_counting | ) |
Constructor for setting reference counting while not creating the matrix in memory (use this for static SGMatrix instances)
Definition at line 36 of file SGMatrix.cpp.
Constructor for setting params
Definition at line 42 of file SGMatrix.cpp.
Wraps a matrix around an existing memory segment with an offset
Definition at line 53 of file SGMatrix.h.
Constructor to create new matrix in memory
Definition at line 47 of file SGMatrix.cpp.
Copy constructor
Definition at line 54 of file SGMatrix.cpp.
SGMatrix | ( | EigenMatrixXt & | mat | ) |
Wraps a matrix around the data of an Eigen3 matrix
Definition at line 61 of file SGMatrix.cpp.
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virtual |
Empty destructor
Definition at line 76 of file SGMatrix.cpp.
void center | ( | ) |
Centers the matrix, i.e. removes column/row mean from columns/rows
Definition at line 322 of file SGMatrix.cpp.
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static |
Centers matrix (e.g. kernel matrix in feature space INPLACE
Definition at line 328 of file SGMatrix.cpp.
SGMatrix< T > clone | ( | ) |
Clone matrix
Definition at line 236 of file SGMatrix.cpp.
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static |
Clone matrix
Definition at line 243 of file SGMatrix.cpp.
Compute eigenvalues and eigenvectors of symmetric matrix using LAPACK
matrix | symmetric matrix to compute eigenproblem. Is overwritten and contains orthonormal eigenvectors afterwards |
Definition at line 871 of file SGMatrix.cpp.
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Compute eigenvalues and eigenvectors of symmetric matrix
matrix | overwritten and contains n orthonormal eigenvectors |
n | |
m |
Definition at line 888 of file SGMatrix.cpp.
void compute_few_eigenvectors | ( | double * | matrix_, |
double *& | eigenvalues, | ||
double *& | eigenvectors, | ||
int | n, | ||
int | il, | ||
int | iu | ||
) |
Compute few eigenpairs of a symmetric matrix using LAPACK DSYEVR method (Relatively Robust Representations). Has at least O(n^3/3) complexity
matrix_ | symmetric matrix |
eigenvalues | contains iu-il+1 eigenvalues in ascending order (to be free'd) |
eigenvectors | contains iu-il+1 orthonormal eigenvectors of given matrix column-wise (to be free'd) |
n | dimension of matrix |
il | low index of requested eigenpairs (1<=il<=n) |
iu | high index of requested eigenpairs (1<=il<=iu<=n) |
Definition at line 910 of file SGMatrix.cpp.
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protectedvirtual |
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protectedinherited |
copy refcount
Definition at line 55 of file SGReferencedData.cpp.
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Create diagonal matrix
Definition at line 271 of file SGMatrix.cpp.
Returns the identity matrix, scaled by a factor
size | size of square identity matrix |
scale | (optional) scaling factor |
Definition at line 636 of file SGMatrix.cpp.
Definition at line 643 of file SGMatrix.cpp.
Definition at line 656 of file SGMatrix.cpp.
Definition at line 669 of file SGMatrix.cpp.
Definition at line 682 of file SGMatrix.cpp.
Definition at line 695 of file SGMatrix.cpp.
Definition at line 708 of file SGMatrix.cpp.
Definition at line 721 of file SGMatrix.cpp.
Definition at line 734 of file SGMatrix.cpp.
Definition at line 747 of file SGMatrix.cpp.
Definition at line 760 of file SGMatrix.cpp.
Definition at line 773 of file SGMatrix.cpp.
SGMatrix< floatmax_t > create_identity_matrix | ( | index_t | size, |
floatmax_t | scale | ||
) |
Definition at line 786 of file SGMatrix.cpp.
SGMatrix< complex128_t > create_identity_matrix | ( | index_t | size, |
complex128_t | scale | ||
) |
Definition at line 799 of file SGMatrix.cpp.
void display_matrix | ( | const char * | name = "matrix" | ) | const |
Display matrix
Definition at line 370 of file SGMatrix.cpp.
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Display matrix (useful for debugging)
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Display matrix
Definition at line 376 of file SGMatrix.cpp.
void display_matrix | ( | const bool * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 384 of file SGMatrix.cpp.
void display_matrix | ( | const char * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 402 of file SGMatrix.cpp.
void display_matrix | ( | const int8_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 420 of file SGMatrix.cpp.
void display_matrix | ( | const uint8_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 438 of file SGMatrix.cpp.
void display_matrix | ( | const int16_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 456 of file SGMatrix.cpp.
void display_matrix | ( | const uint16_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 474 of file SGMatrix.cpp.
void display_matrix | ( | const int32_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 493 of file SGMatrix.cpp.
void display_matrix | ( | const uint32_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 511 of file SGMatrix.cpp.
void display_matrix | ( | const int64_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 528 of file SGMatrix.cpp.
void display_matrix | ( | const uint64_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 546 of file SGMatrix.cpp.
void display_matrix | ( | const float32_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 564 of file SGMatrix.cpp.
void display_matrix | ( | const float64_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 582 of file SGMatrix.cpp.
void display_matrix | ( | const floatmax_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 600 of file SGMatrix.cpp.
void display_matrix | ( | const complex128_t * | matrix, |
int32_t | rows, | ||
int32_t | cols, | ||
const char * | name, | ||
const char * | prefix | ||
) |
Definition at line 618 of file SGMatrix.cpp.
bool equals | ( | SGMatrix< T > & | other | ) |
Operator overload for element-wise matrix comparison. Note that only numerical data is compared
other | matrix to compare with |
Definition at line 94 of file SGMatrix.cpp.
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SGMatrix<T> get | ( | ) |
Get the matrix (no copying is done here)
Definition at line 141 of file SGMatrix.h.
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Simple helper method that returns a matrix with allocated memory for a given size. A pre_allocated one can optionally be specified in order to use that. Basically just for having dimension check encapsulated.
num_rows | rows of returned matrix |
num_cols | columns of returned matrix |
pre_allocated | optional matrix that is returned instead of new matrix. Make sure dimensions match |
Definition at line 973 of file SGMatrix.cpp.
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Sums up all columns of a matrix and returns the resulting columnvector
Definition at line 309 of file SGMatrix.cpp.
T* get_column_vector | ( | index_t | col | ) | const |
Get a column vector
col | column index |
Definition at line 81 of file SGMatrix.h.
SGVector< T > get_diagonal_vector | ( | ) | const |
Get a main diagonal vector. Matrix is not required to be square.
Definition at line 1075 of file SGMatrix.cpp.
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Sums up all rows of a matrix and returns the resulting rowvector
Definition at line 296 of file SGMatrix.cpp.
Get a row vector
row | row index |
Definition at line 1064 of file SGMatrix.cpp.
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protectedvirtual |
overridden to initialize empty data
Implements SGReferencedData.
Definition at line 1011 of file SGMatrix.cpp.
inverses square matrix in-place
Inverses square matrix in-place
Definition at line 861 of file SGMatrix.cpp.
bool is_symmetric | ( | ) |
Definition at line 146 of file SGMatrix.cpp.
bool is_symmetric | ( | ) |
Definition at line 163 of file SGMatrix.cpp.
bool is_symmetric | ( | ) |
Checks whether the matrix is symmetric or not. The equality check is performed using '==' operators for discrete types (int, char, bool) and using CMath::fequals method for floating types (float, double, long double, std::complex<double>) with default espilon values from std::numeric_limits
Definition at line 130 of file SGMatrix.cpp.
bool is_symmetric | ( | ) |
Definition at line 180 of file SGMatrix.cpp.
bool is_symmetric | ( | ) |
Definition at line 197 of file SGMatrix.cpp.
void load | ( | CFile * | loader | ) |
Load matrix from file
loader | File object via which to load data |
Definition at line 1028 of file SGMatrix.cpp.
void load | ( | CFile * | loader | ) |
Definition at line 1043 of file SGMatrix.cpp.
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static |
Computes scale* A*B, where A and B may be transposed. Asserts for matching inner dimensions.
A | matrix A |
transpose_A | optional whether A should be transposed before |
B | matrix B |
transpose_B | optional whether B should be transposed before |
scale | optional scaling factor for result |
Definition at line 923 of file SGMatrix.cpp.
T max_single | ( | ) |
Definition at line 216 of file SGMatrix.cpp.
complex128_t max_single | ( | ) |
Definition at line 229 of file SGMatrix.cpp.
operator EigenMatrixXtMap | ( | ) | const |
Wraps an Eigen3 matrix around the data of this matrix
Definition at line 69 of file SGMatrix.cpp.
Operator overload for matrix read only access
i_row | |
i_col |
Definition at line 104 of file SGMatrix.h.
Operator overload for matrix r/w access
i_row | |
i_col |
Definition at line 122 of file SGMatrix.h.
bool operator== | ( | SGMatrix< T > & | other | ) |
Check for pointer identity
Definition at line 82 of file SGMatrix.cpp.
const T& operator[] | ( | index_t | index | ) | const |
Operator overload for matrix read only access
index | to access |
Definition at line 113 of file SGMatrix.h.
T& operator[] | ( | index_t | index | ) |
Operator overload for matrix r/w access
index | to access |
Definition at line 131 of file SGMatrix.h.
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static |
Return the pseudo inverse for matrix when matrix has shape (rows, cols) the pseudo inverse has (cols, rows)
Definition at line 822 of file SGMatrix.cpp.
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protectedinherited |
increase reference counter
Definition at line 64 of file SGReferencedData.cpp.
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inherited |
display reference counter
Definition at line 41 of file SGReferencedData.cpp.
void remove_column_mean | ( | ) |
Remove column mean
Definition at line 353 of file SGMatrix.cpp.
void save | ( | CFile * | saver | ) |
Save matrix to file
saver | File object via which to save data |
Definition at line 1049 of file SGMatrix.cpp.
void save | ( | CFile * | saver | ) |
Definition at line 1058 of file SGMatrix.cpp.
void set_const | ( | T | const_elem | ) |
Set matrix to a constant
Definition at line 109 of file SGMatrix.cpp.
Compute trace
Definition at line 286 of file SGMatrix.cpp.
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static |
Transpose matrix
Definition at line 253 of file SGMatrix.cpp.
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protectedinherited |
decrement reference counter and deallocate object if refcount is zero before or after decrementing it
Definition at line 84 of file SGReferencedData.cpp.
void zero | ( | ) |
Definition at line 123 of file SGMatrix.cpp.
void zero | ( | ) |
fill matrix with zeros
Definition at line 116 of file SGMatrix.cpp.
T* matrix |
matrix
Definition at line 327 of file SGMatrix.h.
index_t num_cols |
number of columns of matrix
Definition at line 331 of file SGMatrix.h.
index_t num_rows |
number of rows of matrix
Definition at line 329 of file SGMatrix.h.