Contents
zbcomm - block coordinate matrix-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(int transa, int mb, int n, int kb, doublecomplex
*alpha, int *descra, doublecomplex *val, int *bindx, int
*bjndx, int bnnz, int lb,
doublecomplex *b, int ldb, doublecomplex *beta,
doublecomplex *c, int ldc);
void zbcomm_64(long transa, long mb, long n, long kb,
complex *alpha, long *descra, doublecomplex *val, long
*bindx, long *bjndx, long bnnz, long lb, doublecomplex *b,
long ldb,
doublecomplex *beta, doublecomplex *c, long ldc);
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.
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)
Libsunperf SPARSE BLAS is fully parallel and compatible
with NIST FORTRAN 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 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 cbcomm manpage.