zbcomm - matrix multiply
SUBROUTINE ZBCOMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BJNDX, BNNZ, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, N, KB, DESCRA(5), BNNZ, LB, * LDB, LDC, LWORK INTEGER BINDX(BNNZ), BJNDX(BNNZ) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE ZBCOMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BJNDX, BNNZ, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), BNNZ, LB, * LDB, LDC, LWORK INTEGER*8 BINDX(BNNZ), BJNDX(BNNZ) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE BCOMM(TRANSA,MB,N,KB,ALPHA,DESCRA,VAL,BINDX, BJNDX, * BNNZ, LB, B, LDB, BETA, C,LDC, WORK, LWORK) INTEGER TRANSA, MB, N, KB, BNNZ, LB INTEGER, DIMENSION(:) :: DESCRA, BINDX, BJNDX DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C SUBROUTINE BCOMM_64(TRANSA,MB,N,KB,ALPHA,DESCRA,VAL,BINDX, BJNDX, * BNNZ, LB, B, LDB, BETA, C,LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, N, KB, BNNZ, LB INTEGER*8, DIMENSION(:) :: DESCRA, BINDX, BJNDX DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void zbcomm (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* bjndx, const int bnnz, const int lb, const doublecomplex* b, const int ldb, const doublecomplex* beta, doublecomplex* c, const int ldc); void zbcomm_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* bjndx, const long bnnz, const long lb, const doublecomplex* b, const long ldb, const doublecomplex* beta, doublecomplex* c, const long ldc);
Oracle Solaris Studio Performance Library zbcomm(3P) NAME zbcomm - block coordinate matrix-matrix multiply SYNOPSIS SUBROUTINE ZBCOMM( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BJNDX, BNNZ, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, MB, N, KB, DESCRA(5), BNNZ, LB, * LDB, LDC, LWORK INTEGER BINDX(BNNZ), BJNDX(BNNZ) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE ZBCOMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA, * VAL, BINDX, BJNDX, BNNZ, LB, * B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), BNNZ, LB, * LDB, LDC, LWORK INTEGER*8 BINDX(BNNZ), BJNDX(BNNZ) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BNNZ), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE BCOMM(TRANSA,MB,N,KB,ALPHA,DESCRA,VAL,BINDX, BJNDX, * BNNZ, LB, B, LDB, BETA, C,LDC, WORK, LWORK) INTEGER TRANSA, MB, N, KB, BNNZ, LB INTEGER, DIMENSION(:) :: DESCRA, BINDX, BJNDX DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C SUBROUTINE BCOMM_64(TRANSA,MB,N,KB,ALPHA,DESCRA,VAL,BINDX, BJNDX, * BNNZ, LB, B, LDB, BETA, C,LDC, WORK, LWORK) INTEGER*8 TRANSA, MB, N, KB, BNNZ, LB INTEGER*8, DIMENSION(:) :: DESCRA, BINDX, BJNDX DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void zbcomm (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* bjndx, const int bnnz, const int lb, const doublecomplex* b, const int ldb, const doublecomplex* beta, doublecomplex* c, const int ldc); void zbcomm_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* bjndx, const long bnnz, const long lb, const doublecomplex* b, const long ldb, const doublecomplex* beta, doublecomplex* c, const long ldc); DESCRIPTION cbcomm performs one of the matrix-matrix operations C <- alpha op(A) B + beta C where op( A ) is one of op( A ) = A or op( A ) = A' or op( A ) = conjg( A' ) ( ' indicates matrix transpose), A is an (mb*lb) by (kb*lb) sparse matrix represented in the block coordinate format, alpha and beta are scalars, C and B are dense matrices. 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 matrix A. Unchanged on exit. N(input) On entry, N specifies the number of columns in matrix C. Unchanged on exit. KB(input) On entry, KB specifies the number of block columns in 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 of length LB*LB*BNNZ consisting of the non-zero block entries of A, in any order. Each block is stored in standard column-major form. Unchanged on exit. BINDX(input) On entry, integer array of length BNNZ consisting of the block row indices of the non-zero block entries of A. Unchanged on exit. BJNDX(input) On entry, integer array of length BNNZ consisting of the block column indices of the non-zero block entries of A. Unchanged on exit. BNNZ (input) On entry, BNNZ specifies the number of nonzero block entries in 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. 3rd Berkeley Distribution 7 Nov 2015 zbcomm(3P)