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Diffstat (limited to 'src/lib/lapack/dorgql.f')
| -rw-r--r-- | src/lib/lapack/dorgql.f | 222 |
1 files changed, 0 insertions, 222 deletions
diff --git a/src/lib/lapack/dorgql.f b/src/lib/lapack/dorgql.f deleted file mode 100644 index 1c4896e9..00000000 --- a/src/lib/lapack/dorgql.f +++ /dev/null @@ -1,222 +0,0 @@ - SUBROUTINE DORGQL( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) -* -* -- LAPACK routine (version 3.1) -- -* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. -* November 2006 -* -* .. Scalar Arguments .. - INTEGER INFO, K, LDA, LWORK, M, N -* .. -* .. Array Arguments .. - DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * ) -* .. -* -* Purpose -* ======= -* -* DORGQL generates an M-by-N real matrix Q with orthonormal columns, -* which is defined as the last N columns of a product of K elementary -* reflectors of order M -* -* Q = H(k) . . . H(2) H(1) -* -* as returned by DGEQLF. -* -* Arguments -* ========= -* -* M (input) INTEGER -* The number of rows of the matrix Q. M >= 0. -* -* N (input) INTEGER -* The number of columns of the matrix Q. M >= N >= 0. -* -* K (input) INTEGER -* The number of elementary reflectors whose product defines the -* matrix Q. N >= K >= 0. -* -* A (input/output) DOUBLE PRECISION array, dimension (LDA,N) -* On entry, the (n-k+i)-th column must contain the vector which -* defines the elementary reflector H(i), for i = 1,2,...,k, as -* returned by DGEQLF in the last k columns of its array -* argument A. -* On exit, the M-by-N matrix Q. -* -* LDA (input) INTEGER -* The first dimension of the array A. LDA >= max(1,M). -* -* TAU (input) DOUBLE PRECISION array, dimension (K) -* TAU(i) must contain the scalar factor of the elementary -* reflector H(i), as returned by DGEQLF. -* -* WORK (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) -* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. -* -* LWORK (input) INTEGER -* The dimension of the array WORK. LWORK >= max(1,N). -* For optimum performance LWORK >= N*NB, where NB is the -* optimal blocksize. -* -* If LWORK = -1, then a workspace query is assumed; the routine -* only calculates the optimal size of the WORK array, returns -* this value as the first entry of the WORK array, and no error -* message related to LWORK is issued by XERBLA. -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument has an illegal value -* -* ===================================================================== -* -* .. Parameters .. - DOUBLE PRECISION ZERO - PARAMETER ( ZERO = 0.0D+0 ) -* .. -* .. Local Scalars .. - LOGICAL LQUERY - INTEGER I, IB, IINFO, IWS, J, KK, L, LDWORK, LWKOPT, - $ NB, NBMIN, NX -* .. -* .. External Subroutines .. - EXTERNAL DLARFB, DLARFT, DORG2L, XERBLA -* .. -* .. Intrinsic Functions .. - INTRINSIC MAX, MIN -* .. -* .. External Functions .. - INTEGER ILAENV - EXTERNAL ILAENV -* .. -* .. Executable Statements .. -* -* Test the input arguments -* - INFO = 0 - LQUERY = ( LWORK.EQ.-1 ) - IF( M.LT.0 ) THEN - INFO = -1 - ELSE IF( N.LT.0 .OR. N.GT.M ) THEN - INFO = -2 - ELSE IF( K.LT.0 .OR. K.GT.N ) THEN - INFO = -3 - ELSE IF( LDA.LT.MAX( 1, M ) ) THEN - INFO = -5 - END IF -* - IF( INFO.EQ.0 ) THEN - IF( N.EQ.0 ) THEN - LWKOPT = 1 - ELSE - NB = ILAENV( 1, 'DORGQL', ' ', M, N, K, -1 ) - LWKOPT = N*NB - END IF - WORK( 1 ) = LWKOPT -* - IF( LWORK.LT.MAX( 1, N ) .AND. .NOT.LQUERY ) THEN - INFO = -8 - END IF - END IF -* - IF( INFO.NE.0 ) THEN - CALL XERBLA( 'DORGQL', -INFO ) - RETURN - ELSE IF( LQUERY ) THEN - RETURN - END IF -* -* Quick return if possible -* - IF( N.LE.0 ) THEN - RETURN - END IF -* - NBMIN = 2 - NX = 0 - IWS = N - IF( NB.GT.1 .AND. NB.LT.K ) THEN -* -* Determine when to cross over from blocked to unblocked code. -* - NX = MAX( 0, ILAENV( 3, 'DORGQL', ' ', M, N, K, -1 ) ) - IF( NX.LT.K ) THEN -* -* Determine if workspace is large enough for blocked code. -* - LDWORK = N - IWS = LDWORK*NB - IF( LWORK.LT.IWS ) THEN -* -* Not enough workspace to use optimal NB: reduce NB and -* determine the minimum value of NB. -* - NB = LWORK / LDWORK - NBMIN = MAX( 2, ILAENV( 2, 'DORGQL', ' ', M, N, K, -1 ) ) - END IF - END IF - END IF -* - IF( NB.GE.NBMIN .AND. NB.LT.K .AND. NX.LT.K ) THEN -* -* Use blocked code after the first block. -* The last kk columns are handled by the block method. -* - KK = MIN( K, ( ( K-NX+NB-1 ) / NB )*NB ) -* -* Set A(m-kk+1:m,1:n-kk) to zero. -* - DO 20 J = 1, N - KK - DO 10 I = M - KK + 1, M - A( I, J ) = ZERO - 10 CONTINUE - 20 CONTINUE - ELSE - KK = 0 - END IF -* -* Use unblocked code for the first or only block. -* - CALL DORG2L( M-KK, N-KK, K-KK, A, LDA, TAU, WORK, IINFO ) -* - IF( KK.GT.0 ) THEN -* -* Use blocked code -* - DO 50 I = K - KK + 1, K, NB - IB = MIN( NB, K-I+1 ) - IF( N-K+I.GT.1 ) THEN -* -* Form the triangular factor of the block reflector -* H = H(i+ib-1) . . . H(i+1) H(i) -* - CALL DLARFT( 'Backward', 'Columnwise', M-K+I+IB-1, IB, - $ A( 1, N-K+I ), LDA, TAU( I ), WORK, LDWORK ) -* -* Apply H to A(1:m-k+i+ib-1,1:n-k+i-1) from the left -* - CALL DLARFB( 'Left', 'No transpose', 'Backward', - $ 'Columnwise', M-K+I+IB-1, N-K+I-1, IB, - $ A( 1, N-K+I ), LDA, WORK, LDWORK, A, LDA, - $ WORK( IB+1 ), LDWORK ) - END IF -* -* Apply H to rows 1:m-k+i+ib-1 of current block -* - CALL DORG2L( M-K+I+IB-1, IB, IB, A( 1, N-K+I ), LDA, - $ TAU( I ), WORK, IINFO ) -* -* Set rows m-k+i+ib:m of current block to zero -* - DO 40 J = N - K + I, N - K + I + IB - 1 - DO 30 L = M - K + I + IB, M - A( L, J ) = ZERO - 30 CONTINUE - 40 CONTINUE - 50 CONTINUE - END IF -* - WORK( 1 ) = IWS - RETURN -* -* End of DORGQL -* - END |