zbdimm(3P) Sun Performance Library zbdimm(3P)NAMEzbdimm - block diagonal format matrix-matrix multiply
SYNOPSIS
SUBROUTINE ZBDIMM( TRANSA, MB, N, KB, ALPHA, DESCRA,
* VAL, BLDA, IBDIAG, NBDIAG, LB,
* B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER TRANSA, MB, N, KB, DESCRA(5), BLDA, NBDIAG, LB,
* LDB, LDC, LWORK
INTEGER IBDIAG(NBDIAG)
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX VAL(LB*LB*BLDA*NBDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE ZBDIMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA,
* VAL, BLDA, IBDIAG, NBDIAG, LB,
* B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), BLDA, NBDIAG, LB,
* LDB, LDC, LWORK
INTEGER*8 IBDIAG(NBDIAG)
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX VAL(LB*LB*BLDA*NBDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
F95 INTERFACE
SUBROUTINE BDIMM(TRANSA,MB, [N], KB, ALPHA, DESCRA, VAL, BLDA,
* IBDIAG, NBDIAG, LB, B, [LDB], BETA, C, [LDC], [WORK], [LWORK])
INTEGER TRANSA, MB, KB, BLDA, NBDIAG, LB
INTEGER, DIMENSION(:) :: DESCRA, IBDIAG
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX, DIMENSION(:) :: VAL
DOUBLE COMPLEX, DIMENSION(:, :) :: B, C
SUBROUTINE BDIMM_64(TRANSA,MB, [N], KB, ALPHA, DESCRA, VAL, BLDA,
* IBDIAG, NBDIAG, LB, B, [LDB], BETA, C, [LDC], [WORK], [LWORK])
INTEGER*8 TRANSA, MB, KB, BLDA, NBDIAG, LB
INTEGER*8, DIMENSION(:) :: DESCRA, IBDIAG
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX, DIMENSION(:) :: VAL
DOUBLE COMPLEX, DIMENSION(:, :) :: B, C
C INTERFACE
#include <sunperf.h>
void zbdimm (const int transa, const int mb, const int n, const int kb,
const doublecomplex* alpha, const int* descra, const double‐
complex* val, const int blda, const int* ibdiag, const int
nbdiag, const int lb, const doublecomplex* b, const int ldb,
const doublecomplex* beta, doublecomplex* c, const int ldc);
void zbdimm_64 (const long transa, const long mb, const long n, const
long kb, const doublecomplex* alpha, const long* descra,
const doublecomplex* val, const long blda, const long*
ibdiag, const long nbdiag, const long lb, const doublecom‐
plex* b, const long ldb, const doublecomplex* beta, double‐
complex* c, const long ldc);
DESCRIPTIONzbdimm 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.
ARGUMENTSTRANSA(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, two-dimensional LB*LB*BLDA-by-NBDIAG scalar array
consisting of the NBDIAG nonzero block diagonal in
any order. Each dense block is stored in standard
column-major form. Unchanged on exit.
BLDA(input) On entry, BLDA*LB*LB specifies the leading block dimension
of VAL(). Unchanged on exit.
IBDIAG(input) On entry, integer array of length NBDIAG consisting of the
corresponding diagonal offsets of the non-zero
block diagonals of A in VAL. Lower triangular
block diagonals have negative offsets, the main
block diagonal has offset 0, and upper triangular
block diagonals have positive offset. Unchanged on exit.
NBDIAG(input) On entry, NBDIAG specifies the number of non-zero block
diagonals 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 6 Mar 2009 zbdimm(3P)
