+++ /dev/null
-*> \brief \b DTRMM
-*
-* =========== DOCUMENTATION ===========
-*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
-*
-* Definition:
-* ===========
-*
-* SUBROUTINE DTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
-*
-* .. Scalar Arguments ..
-* DOUBLE PRECISION ALPHA
-* INTEGER LDA,LDB,M,N
-* CHARACTER DIAG,SIDE,TRANSA,UPLO
-* ..
-* .. Array Arguments ..
-* DOUBLE PRECISION A(LDA,*),B(LDB,*)
-* ..
-*
-*
-*> \par Purpose:
-* =============
-*>
-*> \verbatim
-*>
-*> DTRMM performs one of the matrix-matrix operations
-*>
-*> B := alpha*op( A )*B, or B := alpha*B*op( A ),
-*>
-*> where alpha is a scalar, B is an m by n matrix, A is a unit, or
-*> non-unit, upper or lower triangular matrix and op( A ) is one of
-*>
-*> op( A ) = A or op( A ) = A**T.
-*> \endverbatim
-*
-* Arguments:
-* ==========
-*
-*> \param[in] SIDE
-*> \verbatim
-*> SIDE is CHARACTER*1
-*> On entry, SIDE specifies whether op( A ) multiplies B from
-*> the left or right as follows:
-*>
-*> SIDE = 'L' or 'l' B := alpha*op( A )*B.
-*>
-*> SIDE = 'R' or 'r' B := alpha*B*op( A ).
-*> \endverbatim
-*>
-*> \param[in] UPLO
-*> \verbatim
-*> UPLO is CHARACTER*1
-*> On entry, UPLO specifies whether the matrix A is an upper or
-*> lower triangular matrix as follows:
-*>
-*> UPLO = 'U' or 'u' A is an upper triangular matrix.
-*>
-*> UPLO = 'L' or 'l' A is a lower triangular matrix.
-*> \endverbatim
-*>
-*> \param[in] TRANSA
-*> \verbatim
-*> TRANSA is CHARACTER*1
-*> On entry, TRANSA specifies the form of op( A ) to be used in
-*> the matrix multiplication as follows:
-*>
-*> TRANSA = 'N' or 'n' op( A ) = A.
-*>
-*> TRANSA = 'T' or 't' op( A ) = A**T.
-*>
-*> TRANSA = 'C' or 'c' op( A ) = A**T.
-*> \endverbatim
-*>
-*> \param[in] DIAG
-*> \verbatim
-*> DIAG is CHARACTER*1
-*> On entry, DIAG specifies whether or not A is unit triangular
-*> as follows:
-*>
-*> DIAG = 'U' or 'u' A is assumed to be unit triangular.
-*>
-*> DIAG = 'N' or 'n' A is not assumed to be unit
-*> triangular.
-*> \endverbatim
-*>
-*> \param[in] M
-*> \verbatim
-*> M is INTEGER
-*> On entry, M specifies the number of rows of B. M must be at
-*> least zero.
-*> \endverbatim
-*>
-*> \param[in] N
-*> \verbatim
-*> N is INTEGER
-*> On entry, N specifies the number of columns of B. N must be
-*> at least zero.
-*> \endverbatim
-*>
-*> \param[in] ALPHA
-*> \verbatim
-*> ALPHA is DOUBLE PRECISION.
-*> On entry, ALPHA specifies the scalar alpha. When alpha is
-*> zero then A is not referenced and B need not be set before
-*> entry.
-*> \endverbatim
-*>
-*> \param[in] A
-*> \verbatim
-*> A is DOUBLE PRECISION array of DIMENSION ( LDA, k ), where k is m
-*> when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
-*> Before entry with UPLO = 'U' or 'u', the leading k by k
-*> upper triangular part of the array A must contain the upper
-*> triangular matrix and the strictly lower triangular part of
-*> A is not referenced.
-*> Before entry with UPLO = 'L' or 'l', the leading k by k
-*> lower triangular part of the array A must contain the lower
-*> triangular matrix and the strictly upper triangular part of
-*> A is not referenced.
-*> Note that when DIAG = 'U' or 'u', the diagonal elements of
-*> A are not referenced either, but are assumed to be unity.
-*> \endverbatim
-*>
-*> \param[in] LDA
-*> \verbatim
-*> LDA is 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 ), when SIDE = 'R' or 'r'
-*> then LDA must be at least max( 1, n ).
-*> \endverbatim
-*>
-*> \param[in,out] B
-*> \verbatim
-*> B is DOUBLE PRECISION array of DIMENSION ( LDB, n ).
-*> Before entry, the leading m by n part of the array B must
-*> contain the matrix B, and on exit is overwritten by the
-*> transformed matrix.
-*> \endverbatim
-*>
-*> \param[in] LDB
-*> \verbatim
-*> LDB is 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 ).
-*> \endverbatim
-*
-* Authors:
-* ========
-*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
-*
-*> \date November 2011
-*
-*> \ingroup double_blas_level3
-*
-*> \par Further Details:
-* =====================
-*>
-*> \verbatim
-*>
-*> 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.
-*> \endverbatim
-*>
-* =====================================================================
- SUBROUTINE DTRMM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
-*
-* -- Reference BLAS level3 routine (version 3.4.0) --
-* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
-*
-* .. Scalar Arguments ..
- DOUBLE PRECISION ALPHA
- INTEGER LDA,LDB,M,N
- CHARACTER DIAG,SIDE,TRANSA,UPLO
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION A(LDA,*),B(LDB,*)
-* ..
-*
-* =====================================================================
-*
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* ..
-* .. External Subroutines ..
- EXTERNAL XERBLA
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX
-* ..
-* .. Local Scalars ..
- DOUBLE PRECISION TEMP
- INTEGER I,INFO,J,K,NROWA
- LOGICAL LSIDE,NOUNIT,UPPER
-* ..
-* .. Parameters ..
- DOUBLE PRECISION ONE,ZERO
- PARAMETER (ONE=1.0D+0,ZERO=0.0D+0)
-* ..
-*
-* Test the input parameters.
-*
- LSIDE = LSAME(SIDE,'L')
- IF (LSIDE) THEN
- NROWA = M
- ELSE
- NROWA = N
- END IF
- NOUNIT = LSAME(DIAG,'N')
- UPPER = LSAME(UPLO,'U')
-*
- INFO = 0
- IF ((.NOT.LSIDE) .AND. (.NOT.LSAME(SIDE,'R'))) THEN
- INFO = 1
- ELSE IF ((.NOT.UPPER) .AND. (.NOT.LSAME(UPLO,'L'))) THEN
- INFO = 2
- ELSE IF ((.NOT.LSAME(TRANSA,'N')) .AND.
- + (.NOT.LSAME(TRANSA,'T')) .AND.
- + (.NOT.LSAME(TRANSA,'C'))) THEN
- INFO = 3
- ELSE IF ((.NOT.LSAME(DIAG,'U')) .AND. (.NOT.LSAME(DIAG,'N'))) THEN
- INFO = 4
- ELSE IF (M.LT.0) THEN
- INFO = 5
- ELSE IF (N.LT.0) THEN
- INFO = 6
- ELSE IF (LDA.LT.MAX(1,NROWA)) THEN
- INFO = 9
- ELSE IF (LDB.LT.MAX(1,M)) THEN
- INFO = 11
- END IF
- IF (INFO.NE.0) THEN
- CALL XERBLA('DTRMM ',INFO)
- RETURN
- END IF
-*
-* Quick return if possible.
-*
- IF (M.EQ.0 .OR. N.EQ.0) RETURN
-*
-* And when alpha.eq.zero.
-*
- IF (ALPHA.EQ.ZERO) THEN
- DO 20 J = 1,N
- DO 10 I = 1,M
- B(I,J) = ZERO
- 10 CONTINUE
- 20 CONTINUE
- RETURN
- END IF
-*
-* Start the operations.
-*
- IF (LSIDE) THEN
- IF (LSAME(TRANSA,'N')) THEN
-*
-* Form B := alpha*A*B.
-*
- IF (UPPER) THEN
- DO 50 J = 1,N
- DO 40 K = 1,M
- IF (B(K,J).NE.ZERO) THEN
- TEMP = ALPHA*B(K,J)
- DO 30 I = 1,K - 1
- B(I,J) = B(I,J) + TEMP*A(I,K)
- 30 CONTINUE
- IF (NOUNIT) TEMP = TEMP*A(K,K)
- B(K,J) = TEMP
- END IF
- 40 CONTINUE
- 50 CONTINUE
- ELSE
- DO 80 J = 1,N
- DO 70 K = M,1,-1
- IF (B(K,J).NE.ZERO) THEN
- TEMP = ALPHA*B(K,J)
- B(K,J) = TEMP
- IF (NOUNIT) B(K,J) = B(K,J)*A(K,K)
- DO 60 I = K + 1,M
- B(I,J) = B(I,J) + TEMP*A(I,K)
- 60 CONTINUE
- END IF
- 70 CONTINUE
- 80 CONTINUE
- END IF
- ELSE
-*
-* Form B := alpha*A**T*B.
-*
- IF (UPPER) THEN
- DO 110 J = 1,N
- DO 100 I = M,1,-1
- TEMP = B(I,J)
- IF (NOUNIT) TEMP = TEMP*A(I,I)
- DO 90 K = 1,I - 1
- TEMP = TEMP + A(K,I)*B(K,J)
- 90 CONTINUE
- B(I,J) = ALPHA*TEMP
- 100 CONTINUE
- 110 CONTINUE
- ELSE
- DO 140 J = 1,N
- DO 130 I = 1,M
- TEMP = B(I,J)
- IF (NOUNIT) TEMP = TEMP*A(I,I)
- DO 120 K = I + 1,M
- TEMP = TEMP + A(K,I)*B(K,J)
- 120 CONTINUE
- B(I,J) = ALPHA*TEMP
- 130 CONTINUE
- 140 CONTINUE
- END IF
- END IF
- ELSE
- IF (LSAME(TRANSA,'N')) THEN
-*
-* Form B := alpha*B*A.
-*
- IF (UPPER) THEN
- DO 180 J = N,1,-1
- TEMP = ALPHA
- IF (NOUNIT) TEMP = TEMP*A(J,J)
- DO 150 I = 1,M
- B(I,J) = TEMP*B(I,J)
- 150 CONTINUE
- DO 170 K = 1,J - 1
- IF (A(K,J).NE.ZERO) THEN
- TEMP = ALPHA*A(K,J)
- DO 160 I = 1,M
- B(I,J) = B(I,J) + TEMP*B(I,K)
- 160 CONTINUE
- END IF
- 170 CONTINUE
- 180 CONTINUE
- ELSE
- DO 220 J = 1,N
- TEMP = ALPHA
- IF (NOUNIT) TEMP = TEMP*A(J,J)
- DO 190 I = 1,M
- B(I,J) = TEMP*B(I,J)
- 190 CONTINUE
- DO 210 K = J + 1,N
- IF (A(K,J).NE.ZERO) THEN
- TEMP = ALPHA*A(K,J)
- DO 200 I = 1,M
- B(I,J) = B(I,J) + TEMP*B(I,K)
- 200 CONTINUE
- END IF
- 210 CONTINUE
- 220 CONTINUE
- END IF
- ELSE
-*
-* Form B := alpha*B*A**T.
-*
- IF (UPPER) THEN
- DO 260 K = 1,N
- DO 240 J = 1,K - 1
- IF (A(J,K).NE.ZERO) THEN
- TEMP = ALPHA*A(J,K)
- DO 230 I = 1,M
- B(I,J) = B(I,J) + TEMP*B(I,K)
- 230 CONTINUE
- END IF
- 240 CONTINUE
- TEMP = ALPHA
- IF (NOUNIT) TEMP = TEMP*A(K,K)
- IF (TEMP.NE.ONE) THEN
- DO 250 I = 1,M
- B(I,K) = TEMP*B(I,K)
- 250 CONTINUE
- END IF
- 260 CONTINUE
- ELSE
- DO 300 K = N,1,-1
- DO 280 J = K + 1,N
- IF (A(J,K).NE.ZERO) THEN
- TEMP = ALPHA*A(J,K)
- DO 270 I = 1,M
- B(I,J) = B(I,J) + TEMP*B(I,K)
- 270 CONTINUE
- END IF
- 280 CONTINUE
- TEMP = ALPHA
- IF (NOUNIT) TEMP = TEMP*A(K,K)
- IF (TEMP.NE.ONE) THEN
- DO 290 I = 1,M
- B(I,K) = TEMP*B(I,K)
- 290 CONTINUE
- END IF
- 300 CONTINUE
- END IF
- END IF
- END IF
-*
- RETURN
-*
-* End of DTRMM .
-*
- END
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