ddiamm(3P) Sun Performance Library ddiamm(3P)NAMEddiamm - diagonal format matrix-matrix multiply
SYNOPSIS
SUBROUTINE DDIAMM( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, LDA, IDIAG, NDIAG,
* B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER TRANSA, M, N, K, DESCRA(5), LDA, NDIAG,
* LDB, LDC, LWORK
INTEGER IDIAG(NDIAG)
DOUBLE PRECISION ALPHA, BETA
DOUBLE PRECISION VAL(LDA,NDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE DDIAMM_64( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, LDA, IDIAG, NDIAG,
* B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER*8 TRANSA, M, N, K, DESCRA(5), LDA, NDIAG,
* LDB, LDC, LWORK
INTEGER*8 IDIAG(NDIAG)
DOUBLE PRECISION ALPHA, BETA
DOUBLE PRECISION VAL(LDA,NDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
F95 INTERFACE
SUBROUTINE DIAMM(TRANSA, M, [N], K, ALPHA, DESCRA, VAL, [LDA],
* IDIAG, NDIAG, B, [LDB], BETA, C, [LDC], [WORK], [LWORK])
INTEGER TRANSA, M, K, NDIAG
INTEGER, DIMENSION(:) :: DESCRA, IDIAG
DOUBLE PRECISION ALPHA, BETA
DOUBLE PRECISION, DIMENSION(:, :) :: VAL, B, C
SUBROUTINE DIAMM_64(TRANSA, M, [N], K, ALPHA, DESCRA, VAL, [LDA],
* IDIAG, NDIAG, B, [LDB], BETA, C, [LDC], [WORK], [LWORK])
INTEGER*8 TRANSA, M, K, NDIAG
INTEGER*8, DIMENSION(:) :: DESCRA, IDIAG
DOUBLE PRECISION ALPHA, BETA
DOUBLE PRECISION, DIMENSION(:, :) :: VAL, B, C
C INTERFACE
#include <sunperf.h>
void ddiamm (const int transa, const int m, const int n, const int k,
const double alpha, const int* descra, const double* val,
const int lda, const int* idiag, const int ndiag, const dou‐
ble* b, const int ldb, const double beta, double* c, const
int ldc);
void ddiamm_64 (const long transa, const long m, const long n, const
long k, const double alpha, const long* descra, const double*
val, const long lda, const long* idiag, const long ndiag,
const double* b, const long ldb, const double beta, double*
c, const long ldc);
DESCRIPTIONddiamm 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 diagonal 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.
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) Two-dimensional LDA-by-NDIAG array such that VAL(:,I)
consists of non-zero elements on diagonal IDIAG(I)
of A. Diagonals in the lower triangular part of A
are padded from the top, and those in the upper
triangular part are padded from the bottom.
Unchanged on exit.
LDA(input) On entry, NDIAG specifies the leading dimension of VAL,
must be >= MIN(M,K). Unchanged on exit.
IDIAG(input) Integer array of length NDIAG consisting of the
corresponding diagonal offsets of the non-zero
diagonals of A in VAL. Lower triangular diagonals
have negative offsets, the main diagonal has offset 0,
and upper triangular diagonals have positive offset.
Unchanged on exit.
NDIAG(input) On entry, NDIAG specifies the number of non-zero diagonals
in A. 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 real sparse matrices is given
in the manpage for the scoomm manpage.
3rd Berkeley Distribution 6 Mar 2009 ddiamm(3P)
