sbelmm - matrix multiply
SUBROUTINE SBELMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BLDA, MAXBNZ, LB, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB, * LDB, LDC, LWORK INTEGER BINDX(BLDA,MAXBNZ) REAL ALPHA, BETA REAL VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE SBELMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BLDA, MAXBNZ, LB, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB, * LDB, LDC, LWORK INTEGER*8 BINDX(BLDA,MAXBNZ) REAL ALPHA, BETA REAL VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE BELMM( TRANSA, MB, N, KB, ALPHA, DESCRA, VAL, BINDX, * BLDA, MAXBNZ, LB, B, LDB, BETA, C,LDC, WORK, LWORK) INTEGER TRANSA, MB, KB, BLDA, MAXBNZ, LB INTEGER, DIMENSION(:) :: DESCRA, BINDX REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C SUBROUTINE BELMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, VAL, BINDX, * BLDA, MAXBNZ, LB, B, LDB, BETA, C,LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, KB, BLDA, MAXBNZ, LB INTEGER*8, DIMENSION(:) :: DESCRA, BINDX REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void sbelmm (const int transa, const int mb, const int n, const int kb, const float alpha, const int* descra, const float* val, const int* bindx, const int blda, const int maxbnz, const int lb, const float* b, const int ldb, const float beta, float* c, const int ldc); void sbelmm_64 (const long transa, const long mb, const long n, const long kb, const float alpha, const long* descra, const float* val, const long* bindx, const long blda, const long maxbnz, const long lb, const float* b, const long ldb, const float beta, float* c, const long ldc);
Oracle Solaris Studio Performance Library sbelmm(3P) NAME sbelmm - block Ellpack format matrix-matrix multiply SYNOPSIS SUBROUTINE SBELMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BLDA, MAXBNZ, LB, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB, * LDB, LDC, LWORK INTEGER BINDX(BLDA,MAXBNZ) REAL ALPHA, BETA REAL VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE SBELMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BLDA, MAXBNZ, LB, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB, * LDB, LDC, LWORK INTEGER*8 BINDX(BLDA,MAXBNZ) REAL ALPHA, BETA REAL VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE BELMM( TRANSA, MB, N, KB, ALPHA, DESCRA, VAL, BINDX, * BLDA, MAXBNZ, LB, B, LDB, BETA, C,LDC, WORK, LWORK) INTEGER TRANSA, MB, KB, BLDA, MAXBNZ, LB INTEGER, DIMENSION(:) :: DESCRA, BINDX REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C SUBROUTINE BELMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, VAL, BINDX, * BLDA, MAXBNZ, LB, B, LDB, BETA, C,LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, KB, BLDA, MAXBNZ, LB INTEGER*8, DIMENSION(:) :: DESCRA, BINDX REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void sbelmm (const int transa, const int mb, const int n, const int kb, const float alpha, const int* descra, const float* val, const int* bindx, const int blda, const int maxbnz, const int lb, const float* b, const int ldb, const float beta, float* c, const int ldc); void sbelmm_64 (const long transa, const long mb, const long n, const long kb, const float alpha, const long* descra, const float* val, const long* bindx, const long blda, const long maxbnz, const long lb, const float* b, const long ldb, const float beta, float* c, const long ldc); DESCRIPTION sbelmm performs one of the matrix-matrix operations C <- alpha op(A) B + beta C where alpha and beta are scalars, C and B are dense matrices, A is an (mb*lb) by (kb*lb) sparse matrix represented in block Ellpack format and op( A ) is one of op( A ) = A or op( A ) = A' or op( A ) = conjg( A' ). ( ' indicates matrix transpose) ARGUMENTS TRANSA(input) TRANSA specifies the form of op( A ) to be used in the matrix multiplication as follows: 0 : operate with matrix 1 : operate with transpose matrix 2 : operate with the conjugate transpose of matrix. 2 is equivalent to 1 if matrix is real. Unchanged on exit. MB(input) On entry, MB specifies the number of block rows in the matrix A. Unchanged on exit. N(input) On entry, N specifies the number of columns in the matrix C. Unchanged on exit. KB(input) On entry, KB specifies the number of block columns in the matrix A. Unchanged on exit. ALPHA(input) On entry, ALPHA specifies the scalar alpha. Unchanged on exit. DESCRA (input) Descriptor argument. Five element integer array: DESCRA(1) matrix structure 0 : general 1 : symmetric (A=A') 2 : Hermitian (A= CONJG(A')) 3 : Triangular 4 : Skew(Anti)-Symmetric (A=-A') 5 : Diagonal 6 : Skew-Hermitian (A= -CONJG(A')) DESCRA(2) upper/lower triangular indicator 1 : lower 2 : upper DESCRA(3) main block diagonal type 0 : non-unit 1 : unit DESCRA(4) Array base (NOT IMPLEMENTED) 0 : C/C++ compatible 1 : Fortran compatible DESCRA(5) repeated indices? (NOT IMPLEMENTED) 0 : unknown 1 : no repeated indices VAL(input) On entry, VAL is a two-dimensional LB*LB*BLDA-by-MAXBNZ array consisting of the non-zero blocks, stored column-major within each dense block. Unchanged on exit. BINDX(input) On entry, BINDX is an integer two-dimensional BLDA-MAXBNZ array such BINDX(i,:) consists of the block column indices of the nonzero blocks in block row i, padded by the integer value i if the number of nonzero blocks is less than MAXBNZ. Unchanged on exit. BLDA(input) On entry, BLDA specifies the leading dimension of BINDX(:,:). Unchanged on exit. MAXBNZ (input) On entry, MAXBNZ specifies the max number of nonzeros blocks per row. Unchanged on exit. LB (input) On entry, LB specifies the dimension of dense blocks composing A. Unchanged on exit. B (input) Array of DIMENSION ( LDB, N ). Before entry with TRANSA = 0, the leading kb*lb by n part of the array B must contain the matrix B, otherwise the leading mb*lb by n part of the array B must contain the matrix B. Unchanged on exit. LDB (input) On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. Unchanged on exit. BETA (input) On entry, BETA specifies the scalar beta. Unchanged on exit. C(input/output) Array of DIMENSION ( LDC, N ). Before entry with TRANSA = 0, the leading mb*lb by n part of the array C must contain the matrix C, otherwise the leading kb*lb by n part of the array C must contain the matrix C. On exit, the array C is overwritten by the matrix ( alpha*op( A )* B + beta*C ). LDC (input) On entry, LDC specifies the first dimension of C as declared in the calling (sub) program. Unchanged on exit. WORK (is not referenced in the current version) LWORK (is not referenced in the current version) SEE ALSO Libsunperf SPARSE BLAS is fully parallel and compatible with NIST FOR- TRAN Sparse Blas but the sources are different. Libsunperf SPARSE BLAS is free of bugs found in NIST FORTRAN Sparse Blas. Besides several new features and routines are implemented. NIST FORTRAN Sparse Blas User's Guide available at: http://math.nist.gov/mcsd/Staff/KRemington/fspblas/ Based on the standard proposed in "Document for the Basic Linear Algebra Subprograms (BLAS) Standard", University of Tennessee, Knoxville, Tennessee, 1996: http://www.netlib.org/utk/papers/sparse.ps The routine is designed so that it provides a possibility to use just one sparse matrix representation of a general matrix A for computing matrix-matrix multiply for another sparse matrix composed by block triangles and/or the main block diagonal of A. The full description of the feature for block entry formats is given in section NOTES/BUGS for the sbcomm manpage. 3rd Berkeley Distribution 7 Nov 2015 sbelmm(3P)