cskymm - matrix multiply
SUBROUTINE CSKYMM( 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(*), COMPLEX ALPHA, BETA COMPLEX VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE CSKYMM_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(*), COMPLEX ALPHA, BETA COMPLEX 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 COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:) :: VAL COMPLEX, 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 COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:) :: VAL COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void cskymm (const int transa, const int m, const int n, const int k, const floatcomplex* alpha, const int* descra, const floatcom- plex* val, const int* pntr, const floatcomplex* b, const int ldb, const floatcomplex* beta, floatcomplex* c, const int ldc); void cskymm_64 (const long transa, const long m, const long n, const long k, const floatcomplex* alpha, const long* descra, const floatcomplex* val, const long* pntr, const floatcomplex* b, const long ldb, const floatcomplex* beta, floatcomplex* c, const long ldc);
Oracle Solaris Studio Performance Library cskymm(3P) NAME cskymm - Skyline format matrix-matrix multiply SYNOPSIS SUBROUTINE CSKYMM( 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(*), COMPLEX ALPHA, BETA COMPLEX VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE CSKYMM_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(*), COMPLEX ALPHA, BETA COMPLEX 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 COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:) :: VAL COMPLEX, 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 COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:) :: VAL COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void cskymm (const int transa, const int m, const int n, const int k, const floatcomplex* alpha, const int* descra, const floatcom- plex* val, const int* pntr, const floatcomplex* b, const int ldb, const floatcomplex* beta, floatcomplex* c, const int ldc); void cskymm_64 (const long transa, const long m, const long n, const long k, const floatcomplex* alpha, const long* descra, const floatcomplex* val, const long* pntr, const floatcomplex* b, const long ldb, const floatcomplex* beta, floatcomplex* c, const long ldc); DESCRIPTION cskymm 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 cskymm(3P)