zbelmm - matrix multiply
SUBROUTINE ZBELMM( 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) DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE ZBELMM_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) DOUBLE COMPLEX ALPHA, BETA DOUBLE 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 DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE 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 DOUBLE COMPLEX ALPHA, BETA DOUBLE COMPLEX, DIMENSION(:) :: VAL DOUBLE COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void zbelmm (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 blda, const int maxbnz, const int lb, const doublecomplex* b, const int ldb, const doublecomplex* beta, doublecomplex* c, const int ldc); void zbelmm_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 blda, const long maxbnz, const long lb, const doublecomplex* b, const long ldb, const doublecomplex* beta, doublecomplex* c, const long ldc);
Oracle Solaris Studio Performance Library zbelmm(3P)
NAME
zbelmm - block Ellpack format matrix-matrix multiply
SYNOPSIS
SUBROUTINE ZBELMM( 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)
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX VAL(LB*LB*BLDA*MAXBNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE ZBELMM_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)
DOUBLE COMPLEX ALPHA, BETA
DOUBLE 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
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX, DIMENSION(:) :: VAL
DOUBLE 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
DOUBLE COMPLEX ALPHA, BETA
DOUBLE COMPLEX, DIMENSION(:) :: VAL
DOUBLE COMPLEX, DIMENSION(:, :) :: B, C
C INTERFACE
#include <sunperf.h>
void zbelmm (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 blda, const int
maxbnz, const int lb, const doublecomplex* b, const int ldb,
const doublecomplex* beta, doublecomplex* c, const int ldc);
void zbelmm_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 blda,
const long maxbnz, const long lb, const doublecomplex* b,
const long ldb, const doublecomplex* beta, doublecomplex* c,
const long ldc);
DESCRIPTION
sbelmm 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 block
Ellpack 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 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, MAXBNZ 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)
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 zbelmm(3P)