Contents
cbelmm - block Ellpack format matrix-matrix multiply
SUBROUTINE CBELMM( TRANSA, MB, N, KB, ALPHA, DESCRA,
* VAL, BINDX, BLDA, MAXBNZ, LB,
* B, LDB, BETA, C, LDC, WORK, LWORK )
INTEGER TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB,
* LDB, LDC, LWORK
INTEGER BINDX(BLDA,MAXBNZ)
COMPLEX ALPHA, BETA
COMPLEX VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE CBELMM_64( TRANSA, MB, N, KB, ALPHA, DESCRA,
* VAL, BINDX, BLDA, MAXBNZ, LB,
* B, LDB, BETA, C, LDC, WORK, LWORK )
INTEGER*8 TRANSA, MB, N, KB, DESCRA(5), BLDA, MAXBNZ, LB,
* LDB, LDC, LWORK
INTEGER*8 BINDX(BLDA,MAXBNZ)
COMPLEX ALPHA, BETA
COMPLEX VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
F95 INTERFACE
SUBROUTINE BELMM( TRANSA, MB, [N], KB, ALPHA, DESCRA, VAL, BINDX,
* BLDA, MAXBNZ, LB, B, [LDB], BETA, C,[LDC], [WORK], [LWORK])
INTEGER TRANSA, MB, KB, BLDA, MAXBNZ, LB
INTEGER, DIMENSION(:) :: DESCRA, BINDX
COMPLEX ALPHA, BETA
COMPLEX, DIMENSION(:) :: VAL
COMPLEX, DIMENSION(:, :) :: B, C
SUBROUTINE BELMM_64( TRANSA, MB, [N], KB, ALPHA, DESCRA, VAL, BINDX,
* BLDA, MAXBNZ, LB, B, [LDB], BETA, C,[LDC], [WORK], [LWORK])
INTEGER*8 TRANSA, MB, KB, BLDA, MAXBNZ, LB
INTEGER*8, DIMENSION(:) :: DESCRA, BINDX
COMPLEX ALPHA, BETA
COMPLEX, DIMENSION(:) :: VAL
COMPLEX, DIMENSION(:, :) :: B, C
C INTERFACE
#include <sunperf.h>
void cbelmm(int transa, int mb, int n, int kb,
complex *alpha, int *descra, complex *val,
int *bindx, int blda, int maxbnz, int lb, complex *b,
int ldb, complex *beta, complex *c, int ldc);
void cbelmm_64(long transa, long mb, long n, long kb,
complex *alpha, long *descra, complex *val, long *bindx,
long blda, long maxbnz, long lb, complex *b, long ldb,
complex *beta, complex *c, long ldc);
cbelmm 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 Ellpack format and op( A ) is one of
op( A ) = A or op( A ) = A' or op( A ) = conjg( A' ).
( ' indicates matrix transpose)
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 two-dimensional LB*LB*BLDA-by-MAXBNZ
array consisting of the non-zero blocks, stored
column-major within each dense block. Unchanged on exit.
BINDX(input) On entry, BINDX is an integer two-dimensional BLDA-MAXBNZ
array such BINDX(i,:) consists of the block column indices
of the nonzero blocks in block row i, padded by the integer
value i if the number of nonzero blocks is less than
MAXBNZ. Unchanged on exit.
BLDA(input) On entry, BLDA specifies the leading dimension of BINDX(:,:).
Unchanged on exit.
MAXBNZ (input) On entry, NBDIAG specifies the max number of nonzeros
blocks per row. 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.