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SparseLibrary
Version 1.6.0
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A Hilbert scheme backed by a specialised storage format. More...
#include <CompressedHilbert.hpp>


Public Member Functions | |
| virtual | ~CompressedHilbert () |
| Base deconstructor. More... | |
| CompressedHilbert () | |
| Base constructor. More... | |
| CompressedHilbert (std::string file, T zero=0) | |
| Base constructor initialising from file. More... | |
| CompressedHilbert (std::vector< Triplet< T > > &input, const ULI m, const ULI n, const T zero=0) | |
| Base constructor initialising from direct input. More... | |
| virtual void | load (std::vector< Triplet< T > > &input, const ULI m, const ULI n, const T zero) |
| virtual void | getFirstIndexPair (ULI &row, ULI &col) |
| Returns the first nonzero index, per reference. More... | |
| virtual void | zxa (const T *x, T *z) |
| Calculates z=xA. More... | |
| virtual void | zax (const T *x, T *z) |
| Calculates z=Ax. More... | |
| virtual size_t | bytesUsed () |
Public Member Functions inherited from SparseMatrix< T, ULI > | |
| SparseMatrix () | |
| Base constructor. More... | |
| SparseMatrix (const ULInzs, const ULInr, const ULInc, const T zero) | |
| Base constructor. More... | |
| virtual | ~SparseMatrix () |
| Base deconstructor. More... | |
| void | loadFromFile (const std::string file, const T zero=0) |
| Function which loads a matrix from a matrix market file. More... | |
| virtual unsigned long int | m () |
| Queries the number of rows this matrix contains. More... | |
| virtual unsigned long int | n () |
| Queries the number of columns this matrix contains. More... | |
| virtual unsigned long int | nzs () |
| Queries the number of nonzeroes stored in this matrix. More... | |
| virtual T * | mv (const T *x) |
| Calculates and returns z=Ax. More... | |
| virtual void | zax (const T *__restrict__ x, T *__restrict__ z)=0 |
| In-place z=Ax function. More... | |
| virtual void | zxa (const T *__restrict__ x, T *__restrict__ z)=0 |
| In-place z=xA function. More... | |
Public Member Functions inherited from Matrix< T > | |
| Matrix () | |
| Base constructor. More... | |
| virtual | ~Matrix () |
| Base deconstructor. More... | |
| virtual void | zax (const T *__restrict__ x, T *__restrict__ z, const size_t k, const clockid_t clock_id=0, double *elapsed_time=NULL) |
| Wrapper function to call the zax kernel multiple times successively, while timing the duration of the operation. More... | |
| template<size_t k> | |
| void | ZaX (const T *__restrict__ const *__restrict__ const X, T *__restrict__ const *__restrict__ const Z) |
| In-place Z=AX function, where A is m x n, Z = m x k, and X is n x k. More... | |
| template<size_t k> | |
| void | ZXa (const T *__restrict__ const *__restrict__ const X, T *__restrict__ const *__restrict__ const Z) |
| In-place Z=XA function, where A is m x n, Z = k x n, and X is k x m. More... | |
| virtual void | zxa (const T *__restrict__ x, T *__restrict__ z, const unsigned long int repeat, const clockid_t clock_id=0, double *elapsed_time=NULL) |
| Wrapper function to call the zxa kernel multiple times successively, while timing the operation duration. More... | |
Protected Attributes | |
| T * | values |
| Array of nonzero values. | |
| HilbertArrayInterface< T > * | indices |
| Pointer to indices in Hilbert-coordinate form. | |
Protected Attributes inherited from SparseMatrix< T, ULI > | |
| ULI | nor |
| Number of rows. More... | |
| ULI | noc |
| Number of columns. | |
| ULI | nnz |
| Number of non-zeros. More... | |
Additional Inherited Members | |
Public Attributes inherited from SparseMatrix< T, ULI > | |
| T | zero_element |
| The element considered to be zero. More... | |
A Hilbert scheme backed by a specialised storage format.
This implementation does not use blocking, as that would require a two-fold datastructure (COO or BICRS on the lower end). The block size would then best be of the size of a char (256x256) or of a short int (65536x65536).
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inlinevirtual |
Base deconstructor.
References CompressedHilbert< T >::indices, and CompressedHilbert< T >::values.
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inline |
Base constructor.
References CompressedHilbert< T >::indices, and CompressedHilbert< T >::values.
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inline |
Base constructor initialising from file.
References SparseMatrix< T, ULI >::loadFromFile().
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inline |
Base constructor initialising from direct input.
References CompressedHilbert< T >::load().
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inlinevirtual |
Implements Matrix< T >.
References CompressedHilbert< T >::indices.
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inlinevirtual |
Returns the first nonzero index, per reference.
Implements SparseMatrix< T, ULI >.
References CompressedHilbert< T >::indices.
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inlinevirtual |
Implements SparseMatrix< T, ULI >.
References CompressedHilbert< T >::indices, Matrix2HilbertCoordinates::IntegerToHilbert(), SparseMatrix< T, ULI >::m(), SparseMatrix< T, ULI >::n(), SparseMatrix< T, ULI >::nnz, SparseMatrix< T, ULI >::noc, SparseMatrix< T, ULI >::nor, CompressedHilbert< T >::values, and SparseMatrix< T, ULI >::zero_element.
Referenced by CompressedHilbert< T >::CompressedHilbert().
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inlinevirtual |
Calculates z=Ax.
Note z is not implicitly zeroed before multiplication.
| x | The (initialised) input vector. |
| z | The (initialised) output vector. |
References CompressedHilbert< T >::indices, SparseMatrix< T, ULI >::nnz, and CompressedHilbert< T >::values.
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inlinevirtual |
Calculates z=xA.
Note z is not implicitly zeroed before multiplication.
| x | The (initialised) input vector. |
| z | The (initialised) output vector. |
References CompressedHilbert< T >::indices, SparseMatrix< T, ULI >::nnz, and CompressedHilbert< T >::values.
1.8.7