sskymm - matrix multiply
SUBROUTINE SSKYMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, PNTR, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, N, K, DESCRA(5), * LDB, LDC, LWORK INTEGER PNTR(*), REAL ALPHA, BETA REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE SSKYMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, PNTR, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, N, K, DESCRA(5), * LDB, LDC, LWORK INTEGER*8 PNTR(*), REAL ALPHA, BETA REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) where NNZ = PNTR(K+1)-PNTR(1) (upper triangular) NNZ = PNTR(M+1)-PNTR(1) (lower triangular) PNTR() size = (K+1) (upper triangular) PNTR() size = (M+1) (lower triangular) F95 INTERFACE SUBROUTINE SKYMM( TRANSA, M, N, K, ALPHA, DESCRA, VAL, * PNTR, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, M, K INTEGER, DIMENSION(:) :: DESCRA, PNTR REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C SUBROUTINE SKYMM_64( TRANSA, M, N, K, ALPHA, DESCRA, VAL, * PNTR, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, M, K INTEGER*8, DIMENSION(:) :: DESCRA, PNTR REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void sskymm (const int transa, const int m, const int n, const int k, const float alpha, const int* descra, const float* val, const int* pntr, const float* b, const int ldb, const float beta, float* c, const int ldc); void sskymm_64 (const long transa, const long m, const long n, const long k, const float alpha, const long* descra, const float* val, const long* pntr, const float* b, const long ldb, const float beta, float* c, const long ldc);
Oracle Solaris Studio Performance Library sskymm(3P)
NAME
sskymm - Skyline format matrix-matrix multiply
SYNOPSIS
SUBROUTINE SSKYMM( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, PNTR,
* B, LDB, BETA, C, LDC, WORK, LWORK )
INTEGER TRANSA, M, N, K, DESCRA(5),
* LDB, LDC, LWORK
INTEGER PNTR(*),
REAL ALPHA, BETA
REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE SSKYMM_64( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, PNTR,
* B, LDB, BETA, C, LDC, WORK, LWORK )
INTEGER*8 TRANSA, M, N, K, DESCRA(5),
* LDB, LDC, LWORK
INTEGER*8 PNTR(*),
REAL ALPHA, BETA
REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
where NNZ = PNTR(K+1)-PNTR(1) (upper triangular)
NNZ = PNTR(M+1)-PNTR(1) (lower triangular)
PNTR() size = (K+1) (upper triangular)
PNTR() size = (M+1) (lower triangular)
F95 INTERFACE
SUBROUTINE SKYMM( TRANSA, M, N, K, ALPHA, DESCRA, VAL,
* PNTR, B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER TRANSA, M, K
INTEGER, DIMENSION(:) :: DESCRA, PNTR
REAL ALPHA, BETA
REAL, DIMENSION(:) :: VAL
REAL, DIMENSION(:, :) :: B, C
SUBROUTINE SKYMM_64( TRANSA, M, N, K, ALPHA, DESCRA, VAL,
* PNTR, B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER*8 TRANSA, M, K
INTEGER*8, DIMENSION(:) :: DESCRA, PNTR
REAL ALPHA, BETA
REAL, DIMENSION(:) :: VAL
REAL, DIMENSION(:, :) :: B, C
C INTERFACE
#include <sunperf.h>
void sskymm (const int transa, const int m, const int n, const int k,
const float alpha, const int* descra, const float* val, const
int* pntr, const float* b, const int ldb, const float beta,
float* c, const int ldc);
void sskymm_64 (const long transa, const long m, const long n, const
long k, const float alpha, const long* descra, const float*
val, const long* pntr, const float* b, const long ldb, const
float beta, float* c, const long ldc);
DESCRIPTION
sskymm 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 skyline format,
alpha and beta are scalars, C and B are dense matrices.
ARGUMENTS
TRANSA(input) On entry, integer 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, integer M specifies the number of rows in
the matrix A. Unchanged on exit.
N(input) On entry, integer N specifies the number of columns in
the matrix C. Unchanged on exit.
K(input) On entry, integer 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 (NOT SUPPORTED)
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 scalar array consisting of the
nonzeros of A in skyline profile form.
Row-oriented if DESCRA(2) = 1 (lower triangular),
column oriented if DESCRA(2) = 2 (upper triangular).
Unchanged on exit.
PNTR (input) On entry, INDX is an integer array of length
M+1 (lower triangular) or K+1 (upper triangular)
such that PNTR(I)-PNTR(1)+1 points to the
location in VAL of the first element of the skyline
profile in row (column) I. 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
NOTES/BUGS
The SKY data structure is not supported for a general matrix structure
(DESCRA(1)=0).
Also not supported:
1. lower triangular matrix A of size m by n where m > n
2. upper triangular matrix A of size m by n where m < n
3rd Berkeley Distribution 7 Nov 2015 sskymm(3P)