cellmm - matrix multiply
SUBROUTINE CELLMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, LDA, MAXNZ, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, N, K, DESCRA(5), LDA, MAXNZ, * LDB, LDC, LWORK INTEGER INDX(LDA,MAXNZ) COMPLEX ALPHA, BETA COMPLEX VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE CELLMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, LDA, MAXNZ, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, N, K, DESCRA(5), LDA, MAXNZ, * LDB, LDC, LWORK INTEGER*8 INDX(LDA,MAXNZ) COMPLEX ALPHA, BETA COMPLEX VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE ELLMM( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX, * LDA, MAXNZ, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, M, K, MAXNZ INTEGER, DIMENSION(:) :: DESCRA INTEGER, DIMENSION(:, :) :: INDX COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:, :) :: VAL, B, C SUBROUTINE ELLMM_64( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX, * LDA, MAXNZ, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, M, K, MAXNZ INTEGER*8, DIMENSION(:) :: DESCRA INTEGER*8, DIMENSION(:, :) :: INDX COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:, :) :: VAL, B, C C INTERFACE #include <sunperf.h> void cellmm (const int transa, const int m, const int n, const int k, const floatcomplex* alpha, const int* descra, const floatcom- plex* val, const int* indx, const int lda, const int maxnz, const floatcomplex* b, const int ldb, const floatcomplex* beta, floatcomplex* c, const int ldc); void cellmm_64 (const long transa, const long m, const long n, const long k, const floatcomplex* alpha, const long* descra, const floatcomplex* val, const long* indx, const long lda, const long maxnz, const floatcomplex* b, const long ldb, const floatcomplex* beta, floatcomplex* c, const long ldc);
Oracle Solaris Studio Performance Library cellmm(3P)
NAME
cellmm - Ellpack format matrix-matrix multiply
SYNOPSIS
SUBROUTINE CELLMM( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, INDX, LDA, MAXNZ,
* B, LDB, BETA, C, LDC, WORK, LWORK )
INTEGER TRANSA, M, N, K, DESCRA(5), LDA, MAXNZ,
* LDB, LDC, LWORK
INTEGER INDX(LDA,MAXNZ)
COMPLEX ALPHA, BETA
COMPLEX VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE CELLMM_64( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, INDX, LDA, MAXNZ,
* B, LDB, BETA, C, LDC, WORK, LWORK )
INTEGER*8 TRANSA, M, N, K, DESCRA(5), LDA, MAXNZ,
* LDB, LDC, LWORK
INTEGER*8 INDX(LDA,MAXNZ)
COMPLEX ALPHA, BETA
COMPLEX VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
F95 INTERFACE
SUBROUTINE ELLMM( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX,
* LDA, MAXNZ, B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER TRANSA, M, K, MAXNZ
INTEGER, DIMENSION(:) :: DESCRA
INTEGER, DIMENSION(:, :) :: INDX
COMPLEX ALPHA, BETA
COMPLEX, DIMENSION(:, :) :: VAL, B, C
SUBROUTINE ELLMM_64( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX,
* LDA, MAXNZ, B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER*8 TRANSA, M, K, MAXNZ
INTEGER*8, DIMENSION(:) :: DESCRA
INTEGER*8, DIMENSION(:, :) :: INDX
COMPLEX ALPHA, BETA
COMPLEX, DIMENSION(:, :) :: VAL, B, C
C INTERFACE
#include <sunperf.h>
void cellmm (const int transa, const int m, const int n, const int k,
const floatcomplex* alpha, const int* descra, const floatcom-
plex* val, const int* indx, const int lda, const int maxnz,
const floatcomplex* b, const int ldb, const floatcomplex*
beta, floatcomplex* c, const int ldc);
void cellmm_64 (const long transa, const long m, const long n, const
long k, const floatcomplex* alpha, const long* descra, const
floatcomplex* val, const long* indx, const long lda, const
long maxnz, const floatcomplex* b, const long ldb, const
floatcomplex* beta, floatcomplex* c, const long ldc);
DESCRIPTION
cellmm 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 M-by-K sparse matrix represented in the ellpack 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.
M(input) On entry, M specifies the number of 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.
K(input) On entry, K specifies the number of 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 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 LDA-by-MAXNZ array
such that VAL(I,:) consists of non-zero elements
in row I of A, padded by zero values if the row
contains less than MAXNZ. Unchanged on exit.
INDX(input) On entry, INDX is an integer two-dimensional
LDA-by-MAXNZ array such that INDX(I,:)
consists of the column indices of the
nonzero elements in row I, padded by the integer
value I if the number of nonzeros is less than
MAXNZ. Unchanged on exit.
LDA(input) On entry, LDA specifies the leading dimension of VAL
and INDX. Unchanged on exit.
MAXNZ(input) On entry, MAXNZ specifies the max number of
nonzeros elements per row. Unchanged on exit.
B (input) Array of DIMENSION ( LDB, N ).
Before entry with TRANSA = 0, the leading k by n
part of the array B must contain the matrix B, otherwise
the leading m 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 m by n
part of the array C must contain the matrix C, otherwise
the leading k 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 matrix A for computing
matrix-matrix multiply for another sparse matrix composed by trian-
gles and/or the main diagonal of A. The full description of the feature
for point entry formats in the case of complex matrices is given in
section NOTES/BUGS for the ccoomm manpage.
3rd Berkeley Distribution 7 Nov 2015 cellmm(3P)