ccoomm - matrix multiply
SUBROUTINE CCOOMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, JNDX, NNZ, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, N, K, DESCRA(5), NNZ * LDB, LDC, LWORK INTEGER INDX(NNZ), JNDX(NNZ) COMPLEX ALPHA, BETA COMPLEX VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE CCOOMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, JNDX, NNZ, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, N, K, DESCRA(5), NNZ * LDB, LDC, LWORK INTEGER*8 INDX(NNZ), JNDX(NNZ) COMPLEX ALPHA, BETA COMPLEX VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE COOMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, JNDX, NNZ, B, LDB, BETA, C, LDC, * WORK, LWORK ) INTEGER TRANSA, M, K, NNZ INTEGER, DIMENSION(:) :: DESCRA, INDX, JNDX COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:) :: VAL COMPLEX, DIMENSION(:, :) :: B, C SUBROUTINE COOMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, JNDX, NNZ, B, LDB, BETA, C, LDC, * WORK, LWORK ) INTEGER*8 TRANSA, M, K, NNZ INTEGER*8, DIMENSION(:) :: DESCRA, INDX, JNDX COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:) :: VAL COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void ccoomm (const int transa, const int m, const int n, const int k, const floatcomplex* alpha, const int* descra, const floatcom- plex* val, const int* indx, const int* jndx, const int nnz, const floatcomplex* b, const int ldb, const floatcomplex* beta, floatcomplex* c, const int ldc); void ccoomm_64 (const long transa, const long m, const long n, const long k, const floatcomplex* alpha, const long* descra, const floatcomplex* val, const long* indx, const long* jndx, const long nnz, const floatcomplex* b, const long ldb, const float- complex* beta, floatcomplex* c, const long ldc);
Oracle Solaris Studio Performance Library ccoomm(3P) NAME ccoomm - coordinate matrix-matrix multiply SYNOPSIS SUBROUTINE CCOOMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, JNDX, NNZ, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, N, K, DESCRA(5), NNZ * LDB, LDC, LWORK INTEGER INDX(NNZ), JNDX(NNZ) COMPLEX ALPHA, BETA COMPLEX VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE CCOOMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, JNDX, NNZ, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, N, K, DESCRA(5), NNZ * LDB, LDC, LWORK INTEGER*8 INDX(NNZ), JNDX(NNZ) COMPLEX ALPHA, BETA COMPLEX VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) F95 INTERFACE SUBROUTINE COOMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, JNDX, NNZ, B, LDB, BETA, C, LDC, * WORK, LWORK ) INTEGER TRANSA, M, K, NNZ INTEGER, DIMENSION(:) :: DESCRA, INDX, JNDX COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:) :: VAL COMPLEX, DIMENSION(:, :) :: B, C SUBROUTINE COOMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, JNDX, NNZ, B, LDB, BETA, C, LDC, * WORK, LWORK ) INTEGER*8 TRANSA, M, K, NNZ INTEGER*8, DIMENSION(:) :: DESCRA, INDX, JNDX COMPLEX ALPHA, BETA COMPLEX, DIMENSION(:) :: VAL COMPLEX, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void ccoomm (const int transa, const int m, const int n, const int k, const floatcomplex* alpha, const int* descra, const floatcom- plex* val, const int* indx, const int* jndx, const int nnz, const floatcomplex* b, const int ldb, const floatcomplex* beta, floatcomplex* c, const int ldc); void ccoomm_64 (const long transa, const long m, const long n, const long k, const floatcomplex* alpha, const long* descra, const floatcomplex* val, const long* indx, const long* jndx, const long nnz, const floatcomplex* b, const long ldb, const float- complex* beta, floatcomplex* c, const long ldc); DESCRIPTION ccoomm 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 coordinate 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 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 array of length NNZ consisting of the non-zero entries of A, in any order. Unchanged on exit. INDX (input) On entry, INDX is an integer array of length NNZ consisting of the corresponding row indices of the entries of A. Unchanged on exit. JNDX (input) On entry, JNDX is an integer array of length NNZ consisting of the corresponding column indices of the entries of A. Unchanged on exit. NNZ (input) On entry, integer NNZ specifies the number of non-zero elements 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 NOTES/BUGS The all complex sparse blas matrix-matrix multiply routines except the skyline and jagged-diagonal format routines are designed so that if DESCRA(1)> 0, the routines check the validity of each sparse entry given in the sparse blas representation. Entries with incorrect indices are not used and no error message related to the entries is issued. The feature also provides a possibility to use just one sparse matrix representation of a general matrix A for computing matrix-matrix mul- tiply for another sparse matrix composed by triangles and/or the main diagonal of A . Assume that there is the sparse matrix representation of a general com- plex matrix A decomposed in the form A = L + D + U where L is the strictly lower triangle of A, U is the strictly upper triangle of A, D is the diagonal matrix. Let's I denotes the identity matrix. Then the correspondence between the first three values of DESCRA and the result matrix for the sparse representation of A is ___________________________________________________________________ DESCRA(1) DESCRA(2) DESCRA(3) RESULT ___________________________________________________________________ 1 1 0 alpha*op(L+D+L')*B+beta*C 1 1 1 alpha*op(L+I+L')*B+beta*C 1 2 0 alpha*op(U'+D+U)*B+beta*C 1 2 1 alpha*op(U'+I+U)*B+beta*C 2 1 0 alpha*op(L+D+conjg(L'))*B+beta*C 2 1 1 alpha*op(L+I+conjg(L'))*B+beta*C 2 2 0 alpha*op(conjg(U')+D+U)*B+beta*C 2 2 1 alpha*op(conjg(U')+I+U)*B+beta*C 3 1 1 alpha*op(L+I)*B+beta*C 3 1 0 alpha*op(L+D)*B+beta*C 3 2 1 alpha*op(U+I)*B+beta*C 3 2 0 alpha*op(U+D)*B+beta*C 4 1 0 or 1 alpha*op(L-L')*B+beta*C 4 2 0 or 1 alpha*op(U-U')*B+beta*C 5 1 or 2 0 alpha*op(D)*B+beta*C 5 1 or 2 1 alpha*B+beta*C 6 1 0 or 1 alpha*op(L-conjg(L'))*B+beta*C 6 2 0 or 1 alpha*op(U-conjg(U'))*B+beta*C ___________________________________________________________________ Remarks to the table: 1. the value of DESCRA(3) is simply ignored and the diagonal entries given in the sparse matrix representation are not used by the routine, if DESCRA(1)= 4 or 6; 2. the diagonal entries are not used also, if DESCRA(3)=1 and DESCRA(1)is one of 1, 2, 3 or 5; 3. if DESCRA(3) is not 1 and DESCRA(1) is one of 1,2, 4 or 6, the type of D should correspond to the choosen value of DESCRA(1) . 3rd Berkeley Distribution 7 Nov 2015 ccoomm(3P)