zbsrmm - matrix multiply
SUBROUTINE ZBSRMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BPNTRB, BPNTRE, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, N, KB, DESCRA(5), LB, * LDB, LDC, LWORK INTEGER BINDX(BNNZ), BPNTRB(MB), BPNTRE(MB) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE ZBSRMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BPNTRB, BPNTRE, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), LB, * LDB, LDC, LWORK INTEGER*8 BINDX(BNNZ), BPNTRB(MB), BPNTRE(MB) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK) where: BNNZ = BPNTRE(MB)-BPNTRB(1) F95 INTERFACE SUBROUTINE BSRMM( TRANSA, MB, N, KB, ALPHA, DESCRA, VAL, BINDX, * BPNTRB, BPNTRE, LB, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, KB, LB INTEGER, DIMENSION(:) :: DESCRA, BINDX, BPNTRB, BPNTRE DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C SUBROUTINE BSRMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, VAL, BINDX, * BPNTRB, BPNTRE, LB, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, KB, LB INTEGER*8, DIMENSION(:) :: DESCRA, BINDX, BPNTRB, BPNTRE DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void zbsrmm (const int transa, const int mb, const int n, const int kb, const doublecomplex* alpha, const int* descra, const double- complex* val, const int* bindx, const int* bpntrb, const int* bpntre, const int lb, const doublecomplex* b, const int ldb, const doublecomplex* beta, doublecomplex* c, const int ldc); void zbsrmm_64 (const long transa, const long mb, const long n, const long kb, const doublecomplex* alpha, const long* descra, const doublecomplex* val, const long* bindx, const long* bpn- trb, const long* bpntre, const long lb, const doublecomplex* b, const long ldb, const doublecomplex* beta, doublecomplex* c, const long ldc);
Oracle Solaris Studio Performance Library zbsrmm(3P) NAME zbsrmm - block sparse row format matrix-matrix multiply SYNOPSIS SUBROUTINE ZBSRMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BPNTRB, BPNTRE, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, N, KB, DESCRA(5), LB, * LDB, LDC, LWORK INTEGER BINDX(BNNZ), BPNTRB(MB), BPNTRE(MB) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE ZBSRMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BPNTRB, BPNTRE, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), LB, * LDB, LDC, LWORK INTEGER*8 BINDX(BNNZ), BPNTRB(MB), BPNTRE(MB) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK) where: BNNZ = BPNTRE(MB)-BPNTRB(1) F95 INTERFACE SUBROUTINE BSRMM( TRANSA, MB, N, KB, ALPHA, DESCRA, VAL, BINDX, * BPNTRB, BPNTRE, LB, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, KB, LB INTEGER, DIMENSION(:) :: DESCRA, BINDX, BPNTRB, BPNTRE DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C SUBROUTINE BSRMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, VAL, BINDX, * BPNTRB, BPNTRE, LB, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, KB, LB INTEGER*8, DIMENSION(:) :: DESCRA, BINDX, BPNTRB, BPNTRE DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void zbsrmm (const int transa, const int mb, const int n, const int kb, const doublecomplex* alpha, const int* descra, const double- complex* val, const int* bindx, const int* bpntrb, const int* bpntre, const int lb, const doublecomplex* b, const int ldb, const doublecomplex* beta, doublecomplex* c, const int ldc); void zbsrmm_64 (const long transa, const long mb, const long n, const long kb, const doublecomplex* alpha, const long* descra, const doublecomplex* val, const long* bindx, const long* bpn- trb, const long* bpntre, const long lb, const doublecomplex* b, const long ldb, const doublecomplex* beta, doublecomplex* c, const long ldc); DESCRIPTION zbsrmm 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 the 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) 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 scalar array of length LB*LB*BNNZ consisting of the non-zero block entries stored column-major within each dense block where BNNZ = BPNTRE(MB)-BPNTRB(1). 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 = BPNTRE(MB)-BPNTRB(1). Unchanged on exit. BPNTRB(input) On entry, BPNTRB is an integer array of length MB such that BPNTRB(J)-BPNTRB(1)+1 points to location in BINDX of the first block entry of the J-th block row of A. Unchanged on exit. BPNTRE(input) On entry, BPNTRE is an integer array of length MB such that BPNTRE(J)-BPNTRB(1) points to location in BINDX of the last block entry of the J-th block row of A. 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 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 It is known that there exists another representation of the block sparse row format (see for example Y.Saad, "Iterative Methods for Sparse Linear Systems", WPS, 1996). Its data structure consists of three array instead of the four 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 arrays VAL and BINDX is used instead of two arrays BPNTRB and BPNTRE. To use the routine with this kind of block sparse row format the following calling sequence should be used CALL ZBSRMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, IA, IA(2), LB, * B, LDB, BETA, C, LDC, WORK, LWORK ) 3rd Berkeley Distribution 7 Nov 2015 zbsrmm(3P)