sjadmm - matrix multiply (modified Ellpack)
SUBROUTINE SJADMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, PNTR, MAXNZ, IPERM, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, N, K, DESCRA(5), MAXNZ, * LDB, LDC, LWORK INTEGER INDX(NNZ), PNTR(MAXNZ+1), IPERM(M) REAL ALPHA, BETA REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE SJADMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, PNTR, MAXNZ, IPERM, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, N, K, DESCRA(5), MAXNZ, * LDB, LDC, LWORK INTEGER*8 INDX(NNZ), PNTR(MAXNZ+1), IPERM(M) REAL ALPHA, BETA REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) where NNZ=PNTR(MAXNZ+1)-PNTR(1)+1 is the number of non-zero elements. F95 INTERFACE SUBROUTINE JADMM( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX, * PNTR, MAXNZ, IPERM, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER TRANSA, M, K, MAXNZ INTEGER, DIMENSION(:) :: DESCRA, INDX, PNTR, IPERM REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C SUBROUTINE JADMM_64( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX, * PNTR, MAXNZ, IPERM, B, LDB, BETA, C, LDC, WORK, LWORK) INTEGER*8 TRANSA, M, K, MAXNZ INTEGER*8, DIMENSION(:) :: DESCRA, INDX, PNTR, IPERM REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void sjadmm (const int transa, const int m, const int n, const int k, const float alpha, const int* descra, const float* val, const int* indx, const int* pntr, const int maxnz, const int* iperm, const float* b, const int ldb, const float beta, float* c, const int ldc); void sjadmm_64 (const long transa, const long m, const long n, const long k, const float alpha, const long* descra, const float* val, const long* indx, const long* pntr, const long maxnz, const long* iperm, const float* b, const long ldb, const float beta, float* c, const long ldc);
Oracle Solaris Studio Performance Library sjadmm(3P)
NAME
sjadmm - Jagged diagonal matrix-matrix multiply (modified Ellpack)
SYNOPSIS
SUBROUTINE SJADMM( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, INDX, PNTR, MAXNZ, IPERM,
* B, LDB, BETA, C, LDC, WORK, LWORK )
INTEGER TRANSA, M, N, K, DESCRA(5), MAXNZ,
* LDB, LDC, LWORK
INTEGER INDX(NNZ), PNTR(MAXNZ+1), IPERM(M)
REAL ALPHA, BETA
REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
SUBROUTINE SJADMM_64( TRANSA, M, N, K, ALPHA, DESCRA,
* VAL, INDX, PNTR, MAXNZ, IPERM,
* B, LDB, BETA, C, LDC, WORK, LWORK )
INTEGER*8 TRANSA, M, N, K, DESCRA(5), MAXNZ,
* LDB, LDC, LWORK
INTEGER*8 INDX(NNZ), PNTR(MAXNZ+1), IPERM(M)
REAL ALPHA, BETA
REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
where NNZ=PNTR(MAXNZ+1)-PNTR(1)+1 is the number of non-zero elements.
F95 INTERFACE
SUBROUTINE JADMM( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX,
* PNTR, MAXNZ, IPERM, B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER TRANSA, M, K, MAXNZ
INTEGER, DIMENSION(:) :: DESCRA, INDX, PNTR, IPERM
REAL ALPHA, BETA
REAL, DIMENSION(:) :: VAL
REAL, DIMENSION(:, :) :: B, C
SUBROUTINE JADMM_64( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX,
* PNTR, MAXNZ, IPERM, B, LDB, BETA, C, LDC, WORK, LWORK)
INTEGER*8 TRANSA, M, K, MAXNZ
INTEGER*8, DIMENSION(:) :: DESCRA, INDX, PNTR, IPERM
REAL ALPHA, BETA
REAL, DIMENSION(:) :: VAL
REAL, DIMENSION(:, :) :: B, C
C INTERFACE
#include <sunperf.h>
void sjadmm (const int transa, const int m, const int n, const int k,
const float alpha, const int* descra, const float* val, const
int* indx, const int* pntr, const int maxnz, const int*
iperm, const float* b, const int ldb, const float beta,
float* c, const int ldc);
void sjadmm_64 (const long transa, const long m, const long n, const
long k, const float alpha, const long* descra, const float*
val, const long* indx, const long* pntr, const long maxnz,
const long* iperm, const float* b, const long ldb, const
float beta, float* c, const long ldc);
DESCRIPTION
sjadmm 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 jagged diagonal 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 scalar array of length
NNZ=PNTR(MAXNZ+1)-PNTR(1)+1 consisting of entries of A.
VAL can be viewed as a column major ordering of a
row permutation of the Ellpack representation of A,
where the Ellpack representation is permuted so that
the rows are non-increasing in the number of nonzero
entries. Values added for padding in Ellpack are
not included in the Jagged-Diagonal format.
Unchanged on exit.
INDX(input) On entry, INDX is an integer array of length
NNZ=PNTR(MAXNZ+1)-PNTR(1)+1 consisting of the column
indices of the corresponding entries in VAL.
Unchanged on exit.
PNTR(input) On entry, PNTR is an integer array of length
MAXNZ+1, where PNTR(I)-PNTR(1)+1 points to
the location in VAL of the first element
in the row-permuted Ellpack represenation of A.
Unchanged on exit.
MAXNZ(input) On entry, MAXNZ specifies the max number of
nonzeros elements per row. Unchanged on exit.
IPERM(input) On entry, IPERM is an integer array of length M
such that I = IPERM(I'), where row I in the
original Ellpack representation corresponds
to row I' in the permuted representation.
If IPERM(1) = 0, it is assumed by convention that
IPERM(I) = I. IPERM is used to determine the order
in which rows of C are updated. 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
3rd Berkeley Distribution 7 Nov 2015 sjadmm(3P)