dvbrmm - matrix multiply
SUBROUTINE DVBRMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, BPNTRB, BPNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, N, KB, DESCRA(5), LDB, LDC, LWORK INTEGER INDX(*), BINDX(*), RPNTR(MB+1), CPNTR(KB+1), * BPNTRB(MB), BPNTRE(MB) DOUBLE PRECISION ALPHA, BETA DOUBLE PRECISION VAL(*), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE DVBRMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, BPNTRB, BPNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), LDB, LDC, LWORK INTEGER*8 INDX(*), BINDX(*), RPNTR(MB+1), CPNTR(KB+1), * BPNTRB(MB), BPNTRE(MB) DOUBLE PRECISION ALPHA, BETA DOUBLE PRECISION VAL(*), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE VBRMM(TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, BPNTRB, BPNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, KB INTEGER, DIMENSION(:) :: DESCRA, INDX, BINDX INTEGER, DIMENSION(:) :: RPNTR, CPNTR, BPNTRB, BPNTRE REAL*8 ALPHA, BETA REAL*8, DIMENSION(:) :: VAL REAL*8, DIMENSION(:, :) :: B, C SUBROUTINE VBRMM_64(TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, BPNTRB, BPNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, KB INTEGER*8, DIMENSION(:) :: DESCRA, INDX, BINDX INTEGER*8, DIMENSION(:) :: RPNTR, CPNTR, BPNTRB, BPNTRE REAL*8 ALPHA, BETA REAL*8, DIMENSION(:) :: VAL REAL*8, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void dvbrmm (const int transa, const int mb, const int n, const int kb, const double alpha, const int* descra, const double* val, const int* indx, const int* bindx, const int* rpntr, const int* cpntr, const int* bpntrb, const int* bpntre, const dou- ble* b, const int ldb, const double beta, double* c, const int ldc); void dvbrmm_64 (const long transa, const long mb, const long n, const long kb, const double alpha, const long* descra, const dou- ble* val, const long* indx, const long* bindx, const long* rpntr, const long* cpntr, const long* bpntrb, const long* bpntre, const double* b, const long ldb, const double beta, double* c, const long ldc);
Oracle Solaris Studio Performance Library dvbrmm(3P) NAME dvbrmm - variable block sparse row format matrix-matrix multiply SYNOPSIS SUBROUTINE DVBRMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, BPNTRB, BPNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, N, KB, DESCRA(5), LDB, LDC, LWORK INTEGER INDX(*), BINDX(*), RPNTR(MB+1), CPNTR(KB+1), * BPNTRB(MB), BPNTRE(MB) DOUBLE PRECISION ALPHA, BETA DOUBLE PRECISION VAL(*), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE DVBRMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, BPNTRB, BPNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), LDB, LDC, LWORK INTEGER*8 INDX(*), BINDX(*), RPNTR(MB+1), CPNTR(KB+1), * BPNTRB(MB), BPNTRE(MB) DOUBLE PRECISION ALPHA, BETA DOUBLE PRECISION VAL(*), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE VBRMM(TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, BPNTRB, BPNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, KB INTEGER, DIMENSION(:) :: DESCRA, INDX, BINDX INTEGER, DIMENSION(:) :: RPNTR, CPNTR, BPNTRB, BPNTRE REAL*8 ALPHA, BETA REAL*8, DIMENSION(:) :: VAL REAL*8, DIMENSION(:, :) :: B, C SUBROUTINE VBRMM_64(TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, BPNTRB, BPNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, KB INTEGER*8, DIMENSION(:) :: DESCRA, INDX, BINDX INTEGER*8, DIMENSION(:) :: RPNTR, CPNTR, BPNTRB, BPNTRE REAL*8 ALPHA, BETA REAL*8, DIMENSION(:) :: VAL REAL*8, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void dvbrmm (const int transa, const int mb, const int n, const int kb, const double alpha, const int* descra, const double* val, const int* indx, const int* bindx, const int* rpntr, const int* cpntr, const int* bpntrb, const int* bpntre, const dou- ble* b, const int ldb, const double beta, double* c, const int ldc); void dvbrmm_64 (const long transa, const long mb, const long n, const long kb, const double alpha, const long* descra, const dou- ble* val, const long* indx, const long* bindx, const long* rpntr, const long* cpntr, const long* bpntrb, const long* bpntre, const double* b, const long ldb, const double beta, double* c, const long ldc); DESCRIPTION dvbrmm 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 a sparse M by K matrix represented in the variable block sparse row format and op( A ) is one of op( A ) = A or op( A ) = A' or op( A ) = conjg( A' ). ( ' indicates matrix transpose) The number of rows in A and the number of columns in A are determined as follows M=RPNTR(MB+1)-RPNTR(1), K=CPNTR(KB+1)-CPNTR(1). 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, integer MB specifies the number of block rows in the matrix A. Unchanged on exit. N(input) On entry, integer N specifies the number of columns in the matrix C. Unchanged on exit. KB(input) On entry, integer 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, scalar array VAL of length NNZ consists of the block entries of A where each block entry is a dense rectangular matrix stored column by column where NNZ denotes the total number of point entries in all nonzero block entries of a matrix A. Unchanged on exit. INDX(input) On entry, INDX is an integer array of length BNNZ+1 where BNNZ is the number of block entries of the matrix A such that the I-th element of INDX[] points to the location in VAL of the (1,1) element of the I-th block entry. Unchanged on exit. BINDX(input) On entry, BINDX is an integer array of length BNNZ consisting of the block column indices of the block entries of A where BNNZ is the number block entries of the matrix A. Unchanged on exit. RPNTR(input) On entry, RPNTR is an integer array of length MB+1 such that RPNTR(I)-RPNTR(1)+1 is the row index of the first point row in the I-th block row. RPNTR(MB+1) is set to M+RPNTR(1) where M is the number of rows in the matrix A. Thus, the number of point rows in the I-th block row is RPNTR(I+1)-RPNTR(I). Unchanged on exit. CPNTR(input) On entry, CPNTR is an integer array of length KB+1 such that CPNTR(J)-CPNTR(1)+1 is the column index of the first point column in the J-th block column. CPNTR(KB+1) is set to K+CPNTR(1) where K is the number of columns in the matrix A. Thus, the number of point columns in the J-th block column is CPNTR(J+1)-CPNTR(J). Unchanged on exit. BPNTRB(input) On entry, BPNTRB is an integer array of length MB such that BPNTRB(I)-BPNTRB(1)+1 points to location in BINDX of the first block entry of the I-th block row of A. Unchanged on exit. BPNTRE(input) On entry, BPNTRE is an integer array of length MB such that BPNTRE(I)-BPNTRB(1)points to location in BINDX of the last block entry of the I-th block row of A. Unchanged on exit. B (input) Array of DIMENSION ( LDB, N ). Before entry with TRANSA = 0, the leading k by n part of the array B must contain the matrix B, otherwise the leading m 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 m by n part of the array C must contain the matrix C, otherwise the leading k 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 complex matrix A for com- puting matrix-matrix multiply for another sparse matrix composed by block triangles and/or the main block diagonal of A. The full descrip- tion of the feature for block entry formats is given in section NOTES/BUGS for the cbcomm manpage. NOTES/BUGS 1. For a general matrix (DESCRA(1)=0), array CPNTR can be different from RPNTR. For all other matrix types, RPNTR must equal CPNTR and a single array can be passed for both arguments. 2. It is known that there exists another representation of the variable block sparse row format (see for example Y.Saad, "Iterative Methods for Sparse Linear Systems", WPS, 1996). Its data structure consists of six array instead of the seven used in the current implementation. The main difference is that only one array, IA, containing the pointers to the beginning of each block row in the array BINDX is used instead of two arrays BPNTRB and BPNTRE. To use the routine with this kind of variable block sparse row format the following calling sequence should be used SUBROUTINE SVBRMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, INDX, BINDX, RPNTR, CPNTR, IA, IA(2), * B, LDB, BETA, C, LDC, WORK, LWORK ) 3rd Berkeley Distribution 7 Nov 2015 dvbrmm(3P)