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question about MKL matrix-matrix multiplier.

SUKLA
Beginner
1,075 Views

I am using Intel MKL (compilers_and_libraries_2020.4.311).  "mkl_sparse_d_mm" produces wrong result while "mkl_dcsrmv" and "mkl_sparse_d_mv" produces the correct result. Can anybody tell me what I am doing wrong? I want to use "SPARSE_LAYOUT_COLUMN_MAJOR" for dense matrix. Basically MKL is accessing B matrix differently that I intended to use.

Sukla

 

 


#include <sstream>
#include <iostream>

#include <mkl.h>
#include <stdio.h>
#include <string.h>

#include <sstream>

int main(int argc, char ** argv)
{
MKL_INT mkl_nrow = 2;
MKL_INT mkl_ncol = 3;
MKL_INT mkl_numVec = 2;
MKL_INT amklIaPtr[4] = {0,2,4,6};
MKL_INT amklJaPtr[6] = { 0,1,0,1,0,1 };


double aValuePtr[6] = { 1.,2.0 ,0.0 ,5.,-1,-2.};
double bValuePtr[] = { 1.,2.0,5.,2.,3.,-5 ,-.1,-0.2,0.3};
double resultProd[10] ;

double alpha = 1.0, beta = 0.;
char matdescra[6] = { 'S','U','N','C',' ',' ' };
matdescra[0] = 'G';
char transa='T';
for (int icol = 0; icol < mkl_numVec; icol++) {
mkl_dcsrmv(&transa, &mkl_ncol, &mkl_nrow, &alpha, matdescra, aValuePtr, &amklJaPtr[0],
&amklIaPtr[0], &amklIaPtr[1], &bValuePtr[icol*mkl_ncol],
&beta, &resultProd[icol*mkl_nrow]);
}
// ************ CORRECT ANSWER *********************
// resultProd[4] = { -4.0,2.0,7.0,29.0 };
// ************ CORRECT ANSWER *********************

sparse_matrix_t aMatrix;
sparse_index_base_t indexing = SPARSE_INDEX_BASE_ZERO;
sparse_status_t status = mkl_sparse_d_create_csc(
&aMatrix, indexing, /* indexing: C-style or Fortran-style */
mkl_nrow, mkl_ncol,
amklIaPtr, &amklIaPtr[1], amklJaPtr, aValuePtr);
sparse_operation_t spOp = SPARSE_OPERATION_NON_TRANSPOSE;
matrix_descr descr = { SPARSE_MATRIX_TYPE_GENERAL, SPARSE_FILL_MODE_LOWER, SPARSE_DIAG_NON_UNIT };
for(int icol=0; icol< mkl_numVec; icol++){
status = mkl_sparse_d_mv(
spOp,
alpha,
aMatrix,
descr, /* sparse_matrix_type_t + sparse_fill_mode_t + sparse_diag_type_t */
&bValuePtr[icol*mkl_ncol],
beta,
&resultProd[icol*mkl_nrow]);
}

// ************ CORRECT ANSWER *********************
// resultProd[4] = { -4.0,2.0,7.0,29.0 };
// ************ CORRECT ANSWER *********************

status = mkl_sparse_d_mm(
spOp,
alpha,
aMatrix,
descr, /* sparse_matrix_type_t + sparse_fill_mode_t + sparse_diag_type_t */
SPARSE_LAYOUT_COLUMN_MAJOR, /* storage scheme for the dense matrix: C-style or Fortran-style */
bValuePtr,
mkl_numVec,
mkl_ncol, //---> Something Wrong here
beta,
resultProd,
mkl_nrow);
// ************ WRONG ANSWER *********************
// resultProd[4] = { 1.1,2.2,12.2,19.4 };
// ************ WRONG ANSWER *********************

return 0;

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10 Replies
mecej4
Black Belt
1,059 Views

I have not inspected every line of your code, but it strikes me that the problem you have is that the sparse matrix represented is the transpose of A, rather than A itself. If mkl_nrow = 2, the arrays (using notation in MKL Ref. Man.) pntre[] and pntrb[] should each have 2 entries. The representation is required to be the CSR representation of A, not of its transpose.

SUKLA
Beginner
1,050 Views

Mecej,

    However, I am using mkl_sparse_d_create_csc instead of mkl_sparse_d_create_csr. I do not think I need to do transpose here. Please help.

 

SUKLA
Beginner
1,048 Views

Furthermore, MatrixVector multiplication works without transposing.

 

mecej4
Black Belt
1,035 Views

Sorry, I overlooked the part where you used  mkl_sparse_d_create_csc rather than the _csr version.

GouthamK_Intel
Moderator
995 Views

Hi Sukla,

We are able to reproduce the issue which you are facing on our end. We are escalating this thread to a Subject Matter Expert(SME) who will guide you further.

Have a Good day!


Thanks & Regards

Goutham


SUKLA
Beginner
962 Views

Goutam,

   Let me know when I can get new MKL library to test it. I have another question about EFAST. Does the B matrix have to be positive definite? Can it not be semi-positive definite? I can not to get eigenvalue from FEAST if the B matrix is semi-positive definite (I have zero row and columns for particulation degree-of-freedom in B matrix.).

Sukla

Gennady_F_Intel
Moderator
907 Views

B has to be positive devined


SUKLA
Beginner
51 Views

Hello Gennady,

   B matrix is symmetry semi-positive definite. Both A and B matrices are large and sparse. I understand the some of the eigenvalues could be infinite. Do you have any suggesion how to use B matrix as semi-positive definite matrix when upper limit is specified?

Sukla

Gennady_F_Intel
Moderator
601 Views

The cause of the issue has been investigated:

The status returned by the mkl_sparse_d_mm() call is ==  SPARSE_STATUS_SUCCESS even though it should return SPARSE_STATUS_NOT_SUPPORTED.


Please check the documentation - https://software.intel.com/content/www/us/en/develop/documentation/onemkl-developer-reference-c/top/...


You called SPARSE_INDEX_BASE_ZERO and CSC format but this configuration doesn’t support.


Gennady_F_Intel
Moderator
585 Views

The issue is closing and we will no longer respond to this thread. If you require additional assistance from Intel, please start a new thread. Any further interaction in this thread will be considered community only.



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