public static cusparseMatDescr DefaultTriangular()
        {
            cusparseMatDescr descr = new cusparseMatDescr();
            descr.MatrixType = cusparseMatrixType.Triangular;
            descr.FillMode = cusparseFillMode.Lower;
            descr.DiagType = cusparseDiagType.NonUnit;
            descr.IndexBase = cusparseIndexBase.Zero;

            return descr;
        }
Beispiel #2
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        public static cusparseMatDescr DefaultTriangular()
        {
            cusparseMatDescr descr = new cusparseMatDescr();

            descr.MatrixType = cusparseMatrixType.Triangular;
            descr.FillMode   = cusparseFillMode.Lower;
            descr.DiagType   = cusparseDiagType.NonUnit;
            descr.IndexBase  = cusparseIndexBase.Zero;

            return(descr);
        }
Beispiel #3
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        public override int NNZ(int m, int n, double[] A, int[] vector, cusparseMatDescr descrA, cusparseDirection dirA = cusparseDirection.Row, int lda = 0)
        {
            lda = (lda == 0 ? m : lda);

            CUdeviceptr ptra = GetDeviceMemory(A);
            CUdeviceptr ptrv = GetDeviceMemory(vector);

            int nzz = 0;

            LastStatus = _driver.CusparseDnnz(_sparse, dirA, m, n, descrA, ptra.Pointer, lda, ptrv.Pointer, ref nzz);

            return(nzz);
        }
Beispiel #4
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 public CUSPARSEStatus CusparseDdense2csc(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzPerCol, IntPtr cscValA, IntPtr cscRowIndA, IntPtr cscColPtrA)
 {
     return cusparseDdense2csc(handle, m, n, descrA, A, lda, nnzPerCol, cscValA, cscRowIndA, cscColPtrA);
 }
Beispiel #5
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 public CUSPARSEStatus CusparseSetMatFillMode(cusparseMatDescr descrA, cusparseFillMode fillMode)
 {
     return(cusparseSetMatFillMode(descrA, fillMode));
 }
Beispiel #6
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 public CUSPARSEStatus CusparseDcsrsv_solve(cusparseHandle handle, cusparseOperation transA, int m, ref double alpha, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, cusparseSolveAnalysisInfo info, IntPtr x, IntPtr y)
 {
     return(cusparseDcsrsv_solve_v2(handle, transA, m, ref alpha, descrA, csrValA, csrRowPtrA, csrColIndA, info, x, y));
 }
Beispiel #7
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 private static extern cusparseIndexBase cusparseGetMatIndexBase(cusparseMatDescr descrA);
Beispiel #8
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 private static extern CUSPARSEStatus cusparseDestroyMatDescr(cusparseMatDescr descrA);
Beispiel #9
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 private static extern cusparseFillMode cusparseGetMatFillMode(cusparseMatDescr descrA);
Beispiel #10
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 public CUSPARSEStatus CusparseDcsrsv_analysis(cusparseHandle handle, cusparseOperation transA, int m, int nnz, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, cusparseSolveAnalysisInfo info)
 {
     return cusparseDcsrsv_analysis_v2(handle, transA, m, nnz, descrA, csrValA, csrRowPtrA, csrColIndA, info); ;
 }
Beispiel #11
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 private static extern CUSPARSEStatus cusparseCreateMatDescr(ref cusparseMatDescr descrA);
Beispiel #12
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 public CUSPARSEStatus CusparseDcsrmv(cusparseHandle handle, cusparseOperation transA, int m, int n, int nnz, ref double alpha, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, IntPtr x, ref double beta, IntPtr y)
 {
     return cusparseDcsrmv_v2(handle, transA, m, n, nnz, ref alpha, descrA, csrValA, csrRowPtrA, csrColIndA, x, ref beta, y);
 }
Beispiel #13
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 private static extern CUSPARSEStatus cusparseSetMatFillMode(cusparseMatDescr descrA, cusparseFillMode fillMode);
Beispiel #14
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 private static extern cusparseMatrixType cusparseGetMatType(cusparseMatDescr descrA);
Beispiel #15
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 private static extern CUSPARSEStatus cusparseSetMatType(cusparseMatDescr descrA, cusparseMatrixType type);
Beispiel #16
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 private static extern CUSPARSEStatus cusparseDestroyMatDescr(cusparseMatDescr descrA);
Beispiel #17
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 public CUSPARSEStatus CusparseSetMatDiagType(cusparseMatDescr descrA, cusparseDiagType diagType)
 {
     return(cusparseSetMatDiagType(descrA, diagType));
 }
Beispiel #18
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 public CUSPARSEStatus CusparseDcsrsv_solve(cusparseHandle handle, cusparseOperation transA, int m, ref double alpha, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, cusparseSolveAnalysisInfo info, IntPtr x, IntPtr y)
 {
     return cusparseDcsrsv_solve_v2(handle, transA, m, ref alpha, descrA, csrValA, csrRowPtrA, csrColIndA, info, x, y);
 }
Beispiel #19
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 public CUSPARSEStatus CusparseSetMatIndexBase(cusparseMatDescr descrA, cusparseIndexBase ibase)
 {
     return(cusparseSetMatIndexBase(descrA, ibase));
 }
Beispiel #20
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 private static extern cusparseFillMode cusparseGetMatFillMode(cusparseMatDescr descrA);
Beispiel #21
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 public CUSPARSEStatus CusparseDdense2csr(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzPerRow, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA)
 {
     return(cusparseDdense2csr(handle, m, n, descrA, A, lda, nnzPerRow, csrValA, csrRowPtrA, csrColIndA));
 }
Beispiel #22
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 public CUSPARSEStatus CusparseDcsrmm(cusparseHandle handle, cusparseOperation transA, int m, int n, int k, int nnz, ref double alpha, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, IntPtr B, int ldb, ref double beta, IntPtr C, int ldc)
 {
     return cusparseDcsrmm_v2(handle, transA, m, n, k, nnz, ref alpha, descrA, csrValA, csrRowPtrA, csrColIndA, B, ldb, ref beta, C, ldc);
 }
Beispiel #23
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 public CUSPARSEStatus CusparseDcsc2dense(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr cscValA, IntPtr cscRowIndA, IntPtr cscColPtrA, IntPtr A, int lda)
 {
     return cusparseDcsc2dense(handle, m, n, descrA, cscValA, cscRowIndA, cscColPtrA, A, lda);
 }
Beispiel #24
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 private static extern CUSPARSEStatus cusparseSetMatDiagType(cusparseMatDescr descrA, cusparseDiagType diagType);
Beispiel #25
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 private static extern CUSPARSEStatus cusparseSetMatDiagType(cusparseMatDescr descrA, cusparseDiagType diagType);
Beispiel #26
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 private static extern cusparseDiagType cusparseGetMatDiagType(cusparseMatDescr descrA);
Beispiel #27
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 public CUSPARSEStatus CusparseDcsrmm(cusparseHandle handle, cusparseOperation transA, int m, int n, int k, int nnz, ref double alpha, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, IntPtr B, int ldb, ref double beta, IntPtr C, int ldc)
 {
     return(cusparseDcsrmm_v2(handle, transA, m, n, k, nnz, ref alpha, descrA, csrValA, csrRowPtrA, csrColIndA, B, ldb, ref beta, C, ldc));
 }
Beispiel #28
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 private static extern CUSPARSEStatus cusparseSetMatIndexBase(cusparseMatDescr descrA, cusparseIndexBase ibase);
Beispiel #29
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 private static extern CUSPARSEStatus cusparseDdense2csr(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzPerRow, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA);
Beispiel #30
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 private static extern cusparseIndexBase cusparseGetMatIndexBase(cusparseMatDescr descrA);
Beispiel #31
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 /// <summary>
 /// Performs matrix-matrix operations. A is CSR format matrix and B, C is dense format.
 /// C = alpha * op(A) * B + beta * C
 /// </summary>
 /// <param name="m">number of rows of matrix A; m must be at least zero.</param>
 /// <param name="k">number of columns of matrix A; k must be at least zero.</param>
 /// <param name="n">number of columns of matrices B and C; n must be at least zero.</param>
 /// <param name="nnz">number of non-zero elements of matrix A.</param>
 /// <param name="alpha">scalar multiplier applied to op(A) * B.</param>
 /// <param name="csrValA">array of nnz elements, where nnz is the number of non-zero elements and can be obtained from csrRowA[m] - csrRowA[0].</param>
 /// <param name="csrRowA">array of m+1 index elements.</param>
 /// <param name="csrColA">array of nnz column indices.</param>
 /// <param name="B">array of dimension (ldb, n).</param>
 /// <param name="beta">scalar multiplier applied to C. If beta is zero, C does not have to be a valid input.</param>
 /// <param name="C">array of dimension (ldc, n).</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 /// <param name="op">specifies op(A).</param>
 /// <param name="ldb">leading dimension of B.</param>
 /// <param name="ldc">leading dimension of C.</param>
 public abstract void CSRMM(int m, int k, int n, int nnz, ref double alpha, double[] csrValA, int[] csrRowA, int[] csrColA, double[] B, ref double beta, double[] C, cusparseMatDescr descrA, cusparseOperation op = cusparseOperation.NonTranspose, int ldb = 0, int ldc = 0);
Beispiel #32
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 private static extern CUSPARSEStatus cusparseDnnz(cusparseHandle handle, cusparseDirection dirA, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzperVector, ref int nnzHostPtr);
Beispiel #33
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 public cusparseFillMode CusparseGetMatFillMode(cusparseMatDescr descrA)
 {
     return(cusparseGetMatFillMode(descrA));
 }
Beispiel #34
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 private static extern CUSPARSEStatus cusparseDdense2csr(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzPerRow, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA);
Beispiel #35
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 public cusparseDiagType CusparseGetMatDiagType(cusparseMatDescr descrA)
 {
     return(cusparseGetMatDiagType(descrA));
 }
Beispiel #36
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 private static extern CUSPARSEStatus cusparseDcsr2dense(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, IntPtr A, int lda);
Beispiel #37
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 public cusparseIndexBase CusparseGetMatIndexBase(cusparseMatDescr descrA)
 {
     return(cusparseGetMatIndexBase(descrA));
 }
Beispiel #38
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 private static extern CUSPARSEStatus cusparseDdense2csc(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzPerCol, IntPtr cscValA, IntPtr cscRowIndA, IntPtr cscColPtrA);
Beispiel #39
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 public CUSPARSEStatus CusparseDnnz(cusparseHandle handle, cusparseDirection dirA, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzPerVector, ref int nnzHostPtr)
 {
     return(cusparseDnnz(handle, dirA, m, n, descrA, A, lda, nnzPerVector, ref nnzHostPtr));
 }
Beispiel #40
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 public CUSPARSEStatus CusparseDcsc2dense(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr cscValA, IntPtr cscRowIndA, IntPtr cscColPtrA, IntPtr A, int lda)
 {
     return(cusparseDcsc2dense(handle, m, n, descrA, cscValA, cscRowIndA, cscColPtrA, A, lda));
 }
Beispiel #41
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 public CUSPARSEStatus CusparseScsr2dense(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, IntPtr A, int lda)
 {
     return(cusparseScsr2dense(handle, m, n, descrA, csrValA, csrRowPtrA, csrColIndA, A, lda));
 }
Beispiel #42
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 private static extern cusparseMatrixType cusparseGetMatType(cusparseMatDescr descrA);
Beispiel #43
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 public CUSPARSEStatus CusparseDdense2csc(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzPerCol, IntPtr cscValA, IntPtr cscRowIndA, IntPtr cscColPtrA)
 {
     return(cusparseDdense2csc(handle, m, n, descrA, A, lda, nnzPerCol, cscValA, cscRowIndA, cscColPtrA));
 }
Beispiel #44
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 private static extern CUSPARSEStatus cusparseCreateMatDescr(ref cusparseMatDescr descrA);
Beispiel #45
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 private static extern CUSPARSEStatus cusparseSetMatType(cusparseMatDescr descrA, cusparseMatrixType type);
Beispiel #46
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 /// <summary>
 /// Computes the number of non-zero elements per row or column and the total number of non-zero elements.
 /// </summary>
 /// <param name="m">number of rows of the matrix A; m must be at least zero.</param>
 /// <param name="n">number of columns of the matrix A; n must be at least zero.</param>
 /// <param name="A">array of dimension (lda, n)</param>
 /// <param name="vector">array of size m or n containing the number of non-zero elements per row or column, respectively.</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 /// <param name="dirA">indicates whether to count the number of non-zero elements per row or per column, respectively.</param>
 /// <param name="lda">leading dimension of A. If lda is 0, automatically be m.</param>
 /// <returns>total number of non-zero elements.</returns>
 public abstract int NNZ(int m, int n, double[] A, int[] vector, cusparseMatDescr descrA, cusparseDirection dirA = cusparseDirection.Row, int lda = 0);
Beispiel #47
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 private static extern CUSPARSEStatus cusparseSetMatFillMode(cusparseMatDescr descrA, cusparseFillMode fillMode);
Beispiel #48
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 /// <summary>
 /// Converts the matrix A in dense format into a matrix in CSR format. All the parameters are pre-allocated by the user, and the arrays are filled in based on nnzPerRow.
 /// </summary>
 /// <param name="m">number of rows of the matrix A; m must be at least zero.</param>
 /// <param name="n">number of columns of the matrix A; n must be at least zero.</param>
 /// <param name="A">array of dimension (lda, n)</param>
 /// <param name="nnzPerRow">array of size m containing the number of non-zero elements per row.</param>
 /// <param name="csrValA">array of nnz elements to be filled.</param>
 /// <param name="csrRowA">array of m+1 index elements.</param>
 /// <param name="csrColIndA">array of nnz column indices, corresponding to the non-zero elements in the matrix.</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 /// <param name="lda">leading dimension of A. If lda is 0, automatically be m.</param>
 public abstract void Dense2CSR(int m, int n, double[] A, int[] nnzPerRow, double[] csrValA, int[] csrRowA, int[] csrColIndA, cusparseMatDescr descrA, int lda = 0);
Beispiel #49
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 public CUSPARSEStatus CusparseDcsrmv(cusparseHandle handle, cusparseOperation transA, int m, int n, int nnz, ref double alpha, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, IntPtr x, ref double beta, IntPtr y)
 {
     return(cusparseDcsrmv_v2(handle, transA, m, n, nnz, ref alpha, descrA, csrValA, csrRowPtrA, csrColIndA, x, ref beta, y));
 }
Beispiel #50
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 /// <summary>
 /// Converts the matrix in CSR format defined by the three arrays csrValA, csrRowA and csrColA into a matrix A in dense format.
 /// </summary>
 /// <param name="m">number of rows of the matrix A; m must be at least zero.</param>
 /// <param name="n">number of columns of the matrix A; n must be at least zero.</param>
 /// <param name="csrValA">array of nnz elements, where nnz is the number of non-zero elements and can be obtained from csrRowA[m] - csrRowA[0].</param>
 /// <param name="csrRowsA">array of m+1 index elements.</param>
 /// <param name="csrColsA">array of nnz column indices.</param>
 /// <param name="A">array of dimension (lda, n)</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 /// <param name="lda">leading dimension of A. If lda is 0, automatically be m.</param>
 public abstract void CSR2Dense(int m, int n, float[] csrValA, int[] csrRowA, int[] csrColA, float[] A, cusparseMatDescr descrA, int lda = 0);
Beispiel #51
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 public CUSPARSEStatus CusparseDcsrsv_analysis(cusparseHandle handle, cusparseOperation transA, int m, int nnz, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, cusparseSolveAnalysisInfo info)
 {
     return(cusparseDcsrsv_analysis_v2(handle, transA, m, nnz, descrA, csrValA, csrRowPtrA, csrColIndA, info));;
 }
Beispiel #52
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 /// <summary>
 /// Converts the matrix A in dense format into a matrix in CSC format. All the parameters are pre-allocated by the user, and the arrays are filled in based nnzPerCol.
 /// </summary>
 /// <param name="m">number of rows of the matrix A; m must be at least zero.</param>
 /// <param name="n">number of columns of the matrix A; n must be at least zero.</param>
 /// <param name="A">array of dimension (lda, n)</param>
 /// <param name="nnzPerCol">>array of size m containing the number of non-zero elements per column.</param>
 /// <param name="cscValA">array of nnz elements to be filled.</param>
 /// <param name="cscRowIndA">array of nnz row indices, corresponding to the non-zero elements in the matrix.</param>
 /// <param name="cscColA">array of n+1 index elements.</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 /// <param name="lda">leading dimension of A. If lda is 0, automatically be m.</param>
 public abstract void Dense2CSC(int m, int n, double[] A, int[] nnzPerCol, double[] cscValA, int[] cscRowIndA, int[] cscColA, cusparseMatDescr descrA, int lda = 0);
Beispiel #53
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 private static extern cusparseDiagType cusparseGetMatDiagType(cusparseMatDescr descrA);
Beispiel #54
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 /// <summary>
 /// Converts the matrix in CSC format defined by the three arrays cscValA, cscColA and cscRowA into matrix A in dense format. The dense matrix A is filled in with the values of the sparse matrix and with zeros elsewhere.
 /// </summary>
 /// <param name="m">number of rows of the matrix A; m must be at least zero.</param>
 /// <param name="n">number of columns of the matrix A; n must be at least zero.</param>
 /// <param name="cscValA">array of nnz elements, where nnz is the number of non-zero elements and can be obtained from csrColA[m] - csrColA[0].</param>
 /// <param name="cscRowA">array of nnz row indices.</param>
 /// <param name="cscColA">array of n+1 index elements.</param>
 /// <param name="A">array of dimension (lda, n)</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 /// <param name="lda">leading dimension of A. If lda is 0, automatically be m.</param>
 public abstract void CSC2Dense(int m, int n, double[] cscValA, int[] cscRowA, int[] cscColA, double[] A, cusparseMatDescr descrA, int lda = 0);
Beispiel #55
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 private static extern CUSPARSEStatus cusparseSetMatIndexBase(cusparseMatDescr descrA, cusparseIndexBase ibase);
Beispiel #56
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 /// <summary>
 /// Performs one of the matrix-vector operations.
 /// y = alpha * op(A) * x + beta * y
 /// </summary>
 /// <param name="m">specifies the number of rows of matrix A; m mmust be at least zero.</param>
 /// <param name="n">specifies the number of columns of matrix A; n mmust be at least zero.</param>
 /// <param name="nnz">number of non-zero elements of matrix A.</param>
 /// <param name="alpha">scalar multiplier applied to op(A) * x.</param>
 /// <param name="csrValA">array of nnz elements, where nnz is the number of non-zero elements and can be ontained from csrRow[m] - csrRow[0].</param>
 /// <param name="csrRowA">array of m+1 index elements.</param>
 /// <param name="csrColA">array of nnz column indices.</param>
 /// <param name="x">vector of n elements if op(A) = A, and m elements if op(A) = transpose(A).</param>
 /// <param name="beta">scalar multiplier applied to y. If beta is zero, y does not have to be a valid input.</param>
 /// <param name="y">vector of m elements if op(A) = A, and n elements if op(A) = transpose(A).</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 /// <param name="op">specifies op(A).</param>
 public abstract void CSRMV(int m, int n, int nnz, ref double alpha, double[] csrValA, int[] csrRowA, int[] csrColA, double[] x, ref double beta, double[] y, cusparseMatDescr descrA, cusparseOperation op = cusparseOperation.NonTranspose);
Beispiel #57
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 private static extern CUSPARSEStatus cusparseDnnz(cusparseHandle handle, cusparseDirection dirA, int m, int n, cusparseMatDescr descrA, IntPtr A, int lda, IntPtr nnzperVector, ref int nnzHostPtr);
Beispiel #58
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 /// <summary>
 /// Performs the analysis phase of the solution of a sparse triangular linear system.
 /// op(A) * y = alpha * x
 /// </summary>
 /// <param name="m">specifies the number of rows and columns of matrix A; m must be at least zero.</param>
 /// <param name="nnz">number of non-zero elements of matrix A.</param>
 /// <param name="csrValA">array of nnz elements, where nnz is the number of non-zero elements and can be obtained from csrRow[m] - csrRow[0].</param>
 /// <param name="csrRowA">array of m+1 index elements.</param>
 /// <param name="csrColA">array of nnz column indices.</param>
 /// <param name="op">specifies op(A).</param>
 /// <param name="info">structure that stores the information collected during the analysis phase. It should be passed to the solve phase unchanged.</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 public abstract void CSRSV_ANALYSIS(int m, int nnz, double[] csrValA, int[] csrRowA, int[] csrColA, cusparseOperation op, cusparseSolveAnalysisInfo info, cusparseMatDescr descrA);
Beispiel #59
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 private static extern CUSPARSEStatus cusparseDcsr2dense(cusparseHandle handle, int m, int n, cusparseMatDescr descrA, IntPtr csrValA, IntPtr csrRowPtrA, IntPtr csrColIndA, IntPtr A, int lda);
Beispiel #60
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 /// <summary>
 /// Performs the solve phase of the solution of a sparse triangular linear system.
 /// op(A) * y = alpha * x
 /// </summary>
 /// <param name="m">specifies the number of rows and columns of matrix A; m must be at least zero.</param>
 /// <param name="alpha">scalar multiplier applied to x.</param>
 /// <param name="csrValA">array of nnz elements, where nnz is the number of non-zero elements and can be obtained from csrRow[m] - csrRow[0].</param>
 /// <param name="csrRowA">array of m+1 index elements.</param>
 /// <param name="csrColA">array of nnz column indices.</param>
 /// <param name="x">vector of m elements.</param>
 /// <param name="y">vector of m elements. updated according to op(A) * y = alpha * x</param>
 /// <param name="op">specifies op(A).</param>
 /// <param name="info">structure that stores the information collected during the analysis phase. It should be passed to the solve phase unchanged.</param>
 /// <param name="descrA">descriptor of matrix A.</param>
 public abstract void CSRSV_SOLVE(int m, ref double alpha, double[] csrValA, int[] csrRowA, int[] csrColA, double[] x, double[] y, cusparseOperation op, cusparseSolveAnalysisInfo info, cusparseMatDescr descrA);