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Matrix Class Template Reference | ![]() |
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#include "vigra/matrix.hxx"
Inheritance diagram for Matrix:
Public Types | |
typedef Matrix< T, ALLOC > | matrix_type |
typedef MultiArrayView< 2, T, UnstridedArrayTag > | view_type |
typedef BaseType::value_type | value_type |
typedef BaseType::pointer | pointer |
typedef BaseType::const_pointer | const_pointer |
typedef BaseType::reference | reference |
typedef BaseType::const_reference | const_reference |
typedef BaseType::difference_type | difference_type |
typedef ALLOC | allocator_type |
Public Methods | |
Matrix () | |
Matrix (ALLOC const &alloc) | |
Matrix (const difference_type &shape, ALLOC const &alloc=allocator_type()) | |
Matrix (std::size_t rows, std::size_t columns, ALLOC const &alloc=allocator_type()) | |
Matrix (const difference_type &shape, const_reference init, allocator_type const &alloc=allocator_type()) | |
Matrix (std::size_t rows, std::size_t columns, const_reference init, allocator_type const &alloc=allocator_type()) | |
Matrix (const difference_type &shape, const_pointer init, allocator_type const &alloc=allocator_type()) | |
Matrix (std::size_t rows, std::size_t columns, const_pointer init, allocator_type const &alloc=allocator_type()) | |
Matrix (const Matrix &rhs) | |
Matrix (const TemporaryMatrix< T, ALLOC > &rhs) | |
template<class U, class C> | Matrix (const MultiArrayView< 2, U, C > &rhs) |
Matrix & | operator= (const Matrix &rhs) |
Matrix & | operator= (const TemporaryMatrix< T, ALLOC > &rhs) |
template<class U, class C> Matrix & | operator= (const MultiArrayView< 2, U, C > &rhs) |
view_type | rowVector (std::size_t d) const |
view_type | columnVector (std::size_t d) const |
std::size_t | rowCount () const |
std::size_t | columnCount () const |
std::size_t | elementCount () const |
bool | isSymmetric () const |
value_type & | operator() (std::size_t row, std::size_t column) |
value_type | operator() (std::size_t row, std::size_t column) const |
value_type | squaredNorm () const |
value_type | norm () const |
Matrix & | transpose () |
template<class U, class C> Matrix & | operator+= (MultiArrayView< 2, U, C > const &other) |
template<class U, class C> Matrix & | operator-= (MultiArrayView< 2, U, C > const &other) |
Matrix & | operator *= (T other) |
Matrix & | operator/= (T other) |
Detailed Description |
This is the basic class for all linear algebra computations. Matrices are strored in a column-major format, i.e. the row index is varying fastest. This is the same format as in the lapack and gmm++ libraries, so it will be easy to interface these libraries. In fact, if you need optimized high performance code, you should use them. The VIGRA linear algebra functionality is provided for smaller problems and rapid prototyping (no one wants to spend half the day installing a new library just to discover that the new algorithm idea didn't work anyway).
See also:
#include "vigra/matrix.hxx" or
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the allocator type used to allocate the memory Reimplemented from MultiArray< 2, T, ALLOC >. |
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const pointer type Reimplemented from MultiArray< 2, T, ALLOC >. |
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const reference type (result of operator[] const) Reimplemented from MultiArray< 2, T, ALLOC >. |
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difference type (used for offsetting) Reimplemented from MultiArray< 2, T, ALLOC >. |
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the matrix type associated with this array. Reimplemented from MultiArray< 2, T, ALLOC >. |
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pointer type Reimplemented from MultiArray< 2, T, ALLOC >. |
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reference type (result of operator[]) Reimplemented from MultiArray< 2, T, ALLOC >. |
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the array's value type Reimplemented from MultiArray< 2, T, ALLOC >. |
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the view type associated with this array. Reimplemented from MultiArray< 2, T, ALLOC >. |
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default constructor |
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construct with given allocator |
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construct with given shape and init with all elements with zero. Note that the order of the axes is |
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construct with given shape and init with all elements with zero. Note that the order of the axes is |
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construct with given shape and init with all elements with the constant init. Note that the order of the axes is |
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construct with given shape and init with all elements with the constant init. Note that the order of the axes is |
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construct with given shape and copy data from C-style array init. Data in this array are expected to be given in column-major order (the C standard order) and will automatically be converted to the required column-major format. Note that the order of the axes is |
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construct with given shape and copy data from C-style array init. Data in this array are expected to be given in column-major order (the C standard order) and will automatically be converted to the required column-major format. Note that the order of the axes is |
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copy constructor. Allocates new memory and copies tha data. |
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construct from temporary matrix, which looses its data. This operation is equivalent to TemporaryMatrix<T> temp = ...; Matrix<T> m; m.swap(temp); |
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construct from a MultiArrayView. Allocates new memory and copies tha data. rhs is assumed to be in column-major order already. |
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number of columns (width) of the matrix. |
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Create a matrix view that represents the column vector of column d. |
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number of elements (width*height) of the matrix. Reimplemented from MultiArrayView< N, T >. |
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check whether the matrix is symmetric. |
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Frobenius norm. Root of sum of squares of the matrix elements. |
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scalar multiply this with other |
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read access to matrix element |
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read/write access to matrix element |
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add other to this (sizes must match). |
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subtract other from this (sizes must match). |
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scalar devide this by other |
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assignment from arbitrary 2-dimensional MultiArrayView. |
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assign a temporary matrix. This is implemented by swapping the data between the two matrices, so that all depending objects (array views, iterators) ar invalidated. |
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assignment. If the size of rhs is the same as the matrix's old size, only the data are copied. Otherwise, new storage is allocated, which invalidates all objects (array views, iterators) depending on the matrix. |
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number of rows (height) of the matrix. |
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Create a matrix view that represents the row vector of row d. |
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squared Frobenius norm. Sum of squares of the matrix elements. |
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transpose matrix in-place (precondition: matrix must be square) |
© Ullrich Köthe (koethe@informatik.uni-hamburg.de) |
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