scscmm - matrix multiply
SUBROUTINE SCSCMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, PNTRB, PNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, N, K, DESCRA(5), * LDB, LDC, LWORK INTEGER INDX(NNZ), PNTRB(K), PNTRE(K) REAL ALPHA, BETA REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE SCSCMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, PNTRB, PNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, N, K, DESCRA(5), * LDB, LDC, LWORK INTEGER*8 INDX(NNZ), PNTRB(K), PNTRE(K) REAL ALPHA, BETA REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) where NNZ = PNTRE(K)-PNTRB(1) F95 INTERFACE SUBROUTINE CSCMM( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX, * PNTRB, PNTRE, B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, K INTEGER, DIMENSION(:) :: DESCRA, INDX, PNTRB, PNTRE REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C SUBROUTINE CSCMM_64( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX, * PNTRB, PNTRE, B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, K INTEGER*8, DIMENSION(:) :: DESCRA, INDX, PNTRB, PNTRE REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void scscmm (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* pntrb, const int* pntre, const float* b, const int ldb, const float beta, float* c, const int ldc); void scscmm_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* pntrb, const long* pntre, const float* b, const long ldb, const float beta, float* c, const long ldc);
Oracle Solaris Studio Performance Library scscmm(3P) NAME scscmm - compressed sparse column format matrix-matrix multiply SYNOPSIS SUBROUTINE SCSCMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, PNTRB, PNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, N, K, DESCRA(5), * LDB, LDC, LWORK INTEGER INDX(NNZ), PNTRB(K), PNTRE(K) REAL ALPHA, BETA REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) SUBROUTINE SCSCMM_64( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, PNTRB, PNTRE, * B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, N, K, DESCRA(5), * LDB, LDC, LWORK INTEGER*8 INDX(NNZ), PNTRB(K), PNTRE(K) REAL ALPHA, BETA REAL VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK) where NNZ = PNTRE(K)-PNTRB(1) F95 INTERFACE SUBROUTINE CSCMM( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX, * PNTRB, PNTRE, B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER TRANSA, M, K INTEGER, DIMENSION(:) :: DESCRA, INDX, PNTRB, PNTRE REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C SUBROUTINE CSCMM_64( TRANSA, M, N, K, ALPHA, DESCRA, VAL, INDX, * PNTRB, PNTRE, B, LDB, BETA, C, LDC, WORK, LWORK ) INTEGER*8 TRANSA, M, K INTEGER*8, DIMENSION(:) :: DESCRA, INDX, PNTRB, PNTRE REAL ALPHA, BETA REAL, DIMENSION(:) :: VAL REAL, DIMENSION(:, :) :: B, C C INTERFACE #include <sunperf.h> void scscmm (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* pntrb, const int* pntre, const float* b, const int ldb, const float beta, float* c, const int ldc); void scscmm_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* pntrb, const long* pntre, const float* b, const long ldb, const float beta, float* c, const long ldc); DESCRIPTION scscmm 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 compressed sparse column 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 = PNTRE(K)-PNTRB(1) consisting of nonzero entries of A. Unchanged on exit. INDX(input) On entry, INDX is an integer array of length NNZ = PNTRE(K)-PNTRB(1) consisting of the row indices of nonzero entries of A. Unchanged on exit. PNTRB(input) On entry, PNTRB is an integer array of length K such that PNTRB(J)-PNTRB(1)+1 points to location in VAL of the first nonzero element in column J. Unchanged on exit. PNTRE(input) On entry, PNTRE is an integer array of length K such that PNTRE(J)-PNTRB(1) points to location in VAL of the last nonzero element in column J. 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 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 trian- gles and/or the main diagonal of A. The full description of the feature for point entry formats in the case of real sparse matrices is given in the manpage for the scoomm manpage. NOTES/BUGS It is known that there exists another representation of the compressed sparse column format (see for example Y.Saad, "Iterative Methods for Sparse Linear Systems", WPS, 1996). Its data structure consists of three array instead of the four used in the current implementation. The main difference is that only one array, IA, containing the pointers to the beginning of each column in the arrays VAL and INDX is used instead of two arrays PNTRB and PNTRE. To use the routine with this kind of sparse column format the following calling sequence should be used SUBROUTINE SCSCMM( TRANSA, M, N, K, ALPHA, DESCRA, * VAL, INDX, IA, IA(2), B, LDB, BETA, * C, LDC, WORK, LWORK ) 3rd Berkeley Distribution 7 Nov 2015 scscmm(3P)