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+ SUBROUTINE DSYMM ( SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 SIDE, UPLO
+ INTEGER M, N, LDA, LDB, LDC
+ DOUBLE PRECISION ALPHA, BETA
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSYMM performs one of the matrix-matrix operations
+*
+* C := alpha*A*B + beta*C,
+*
+* or
+*
+* C := alpha*B*A + beta*C,
+*
+* where alpha and beta are scalars, A is a symmetric matrix and B and
+* C are m by n matrices.
+*
+* Parameters
+* ==========
+*
+* SIDE - CHARACTER*1.
+* On entry, SIDE specifies whether the symmetric matrix A
+* appears on the left or right in the operation as follows:
+*
+* SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
+*
+* SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
+*
+* Unchanged on exit.
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the symmetric matrix A is to be
+* referenced as follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of the
+* symmetric matrix is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of the
+* symmetric matrix is to be referenced.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix C.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix C.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+* m when SIDE = 'L' or 'l' and is n otherwise.
+* Before entry with SIDE = 'L' or 'l', the m by m part of
+* the array A must contain the symmetric matrix, such that
+* when UPLO = 'U' or 'u', the leading m by m upper triangular
+* part of the array A must contain the upper triangular part
+* of the symmetric matrix and the strictly lower triangular
+* part of A is not referenced, and when UPLO = 'L' or 'l',
+* the leading m by m lower triangular part of the array A
+* must contain the lower triangular part of the symmetric
+* matrix and the strictly upper triangular part of A is not
+* referenced.
+* Before entry with SIDE = 'R' or 'r', the n by n part of
+* the array A must contain the symmetric matrix, such that
+* when UPLO = 'U' or 'u', the leading n by n upper triangular
+* part of the array A must contain the upper triangular part
+* of the symmetric matrix and the strictly lower triangular
+* part of A is not referenced, and when UPLO = 'L' or 'l',
+* the leading n by n lower triangular part of the array A
+* must contain the lower triangular part of the symmetric
+* matrix and the strictly upper triangular part of A is not
+* referenced.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When SIDE = 'L' or 'l' then
+* LDA must be at least max( 1, m ), otherwise LDA must be at
+* least max( 1, n ).
+* Unchanged on exit.
+*
+* B - DOUBLE PRECISION array of DIMENSION ( LDB, n ).
+* Before entry, the leading m by n part of the array B must
+* contain the matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. LDB must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then C need not be set on input.
+* Unchanged on exit.
+*
+* C - DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+* Before entry, the leading m by n part of the array C must
+* contain the matrix C, except when beta is zero, in which
+* case C need not be set on entry.
+* On exit, the array C is overwritten by the m by n updated
+* matrix.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, K, NROWA
+ DOUBLE PRECISION TEMP1, TEMP2
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Executable Statements ..
+*
+* Set NROWA as the number of rows of A.
+*
+ IF( LSAME( SIDE, 'L' ) )THEN
+ NROWA = M
+ ELSE
+ NROWA = N
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF( ( .NOT.LSAME( SIDE, 'L' ) ).AND.
+ $ ( .NOT.LSAME( SIDE, 'R' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO, 'L' ) ) )THEN
+ INFO = 2
+ ELSE IF( M .LT.0 )THEN
+ INFO = 3
+ ELSE IF( N .LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 7
+ ELSE IF( LDB.LT.MAX( 1, M ) )THEN
+ INFO = 9
+ ELSE IF( LDC.LT.MAX( 1, M ) )THEN
+ INFO = 12
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSYMM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( SIDE, 'L' ) )THEN
+*
+* Form C := alpha*A*B + beta*C.
+*
+ IF( UPPER )THEN
+ DO 70, J = 1, N
+ DO 60, I = 1, M
+ TEMP1 = ALPHA*B( I, J )
+ TEMP2 = ZERO
+ DO 50, K = 1, I - 1
+ C( K, J ) = C( K, J ) + TEMP1 *A( K, I )
+ TEMP2 = TEMP2 + B( K, J )*A( K, I )
+ 50 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = TEMP1*A( I, I ) + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ TEMP1*A( I, I ) + ALPHA*TEMP2
+ END IF
+ 60 CONTINUE
+ 70 CONTINUE
+ ELSE
+ DO 100, J = 1, N
+ DO 90, I = M, 1, -1
+ TEMP1 = ALPHA*B( I, J )
+ TEMP2 = ZERO
+ DO 80, K = I + 1, M
+ C( K, J ) = C( K, J ) + TEMP1 *A( K, I )
+ TEMP2 = TEMP2 + B( K, J )*A( K, I )
+ 80 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = TEMP1*A( I, I ) + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ TEMP1*A( I, I ) + ALPHA*TEMP2
+ END IF
+ 90 CONTINUE
+ 100 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*B*A + beta*C.
+*
+ DO 170, J = 1, N
+ TEMP1 = ALPHA*A( J, J )
+ IF( BETA.EQ.ZERO )THEN
+ DO 110, I = 1, M
+ C( I, J ) = TEMP1*B( I, J )
+ 110 CONTINUE
+ ELSE
+ DO 120, I = 1, M
+ C( I, J ) = BETA*C( I, J ) + TEMP1*B( I, J )
+ 120 CONTINUE
+ END IF
+ DO 140, K = 1, J - 1
+ IF( UPPER )THEN
+ TEMP1 = ALPHA*A( K, J )
+ ELSE
+ TEMP1 = ALPHA*A( J, K )
+ END IF
+ DO 130, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP1*B( I, K )
+ 130 CONTINUE
+ 140 CONTINUE
+ DO 160, K = J + 1, N
+ IF( UPPER )THEN
+ TEMP1 = ALPHA*A( J, K )
+ ELSE
+ TEMP1 = ALPHA*A( K, J )
+ END IF
+ DO 150, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP1*B( I, K )
+ 150 CONTINUE
+ 160 CONTINUE
+ 170 CONTINUE
+ END IF
+*
+ RETURN
+*
+* End of DSYMM .
+*
+ END