Contents
sdiamm - diagonal format matrix-matrix multiply
SUBROUTINE SDIAMM( 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)
REAL ALPHA, BETA
REAL VAL(LDA,NDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE SDIAMM_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)
REAL ALPHA, BETA
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
REAL ALPHA, BETA
REAL, 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
REAL ALPHA, BETA
REAL, DIMENSION(:, :) :: VAL, B, C
C INTERFACE
#include <sunperf.h>
void sdiamm (int transa, int m, int n, int k, double alpha,
int *descra, float *val, int lda, int *idiag, int ndiag,
float *b, int ldb, float beta,
float *c, int ldc);
void sdiamm_64 (long transa, long m, long n, long k, float
alpha, long *descra, float *val, long lda,
long *idiag, long ndiag, float *b, long ldb,
float beta, float *c, long ldc);
sdiamm 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.
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) 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)
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
matrix A for computing matrix-matrix multiply for another
sparse matrix composed by triangles and/or the main
diagonal of A. The full description of the feature for point
entry formats is given in section NOTES/BUGS for the scoomm
manpage.