--- rpl/lapack/lapack/dormql.f 2011/11/21 22:19:37 1.10
+++ rpl/lapack/lapack/dormql.f 2018/05/29 07:18:03 1.19
@@ -2,25 +2,25 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DORMQL + dependencies
-*>
-*> [TGZ]
-*>
-*> [ZIP]
-*>
+*> Download DORMQL + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
*> [TXT]
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE DORMQL( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
* WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* CHARACTER SIDE, TRANS
* INTEGER INFO, K, LDA, LDC, LWORK, M, N
@@ -28,7 +28,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -94,7 +94,6 @@
*> The 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.
-*> A is modified by the routine but restored on exit.
*> \endverbatim
*>
*> \param[in] LDA
@@ -137,9 +136,7 @@
*> The dimension of the array WORK.
*> If SIDE = 'L', LWORK >= max(1,N);
*> if SIDE = 'R', LWORK >= max(1,M).
-*> For optimum performance LWORK >= N*NB if SIDE = 'L', and
-*> LWORK >= M*NB if SIDE = 'R', where NB is the optimal
-*> blocksize.
+*> For good performance, LWORK should generally be larger.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@@ -157,12 +154,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date December 2016
*
*> \ingroup doubleOTHERcomputational
*
@@ -170,10 +167,10 @@
SUBROUTINE DORMQL( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
$ WORK, LWORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER SIDE, TRANS
@@ -186,17 +183,15 @@
* =====================================================================
*
* .. Parameters ..
- INTEGER NBMAX, LDT
- PARAMETER ( NBMAX = 64, LDT = NBMAX+1 )
+ INTEGER NBMAX, LDT, TSIZE
+ PARAMETER ( NBMAX = 64, LDT = NBMAX+1,
+ $ TSIZE = LDT*NBMAX )
* ..
* .. Local Scalars ..
LOGICAL LEFT, LQUERY, NOTRAN
- INTEGER I, I1, I2, I3, IB, IINFO, IWS, LDWORK, LWKOPT,
+ INTEGER I, I1, I2, I3, IB, IINFO, IWT, LDWORK, LWKOPT,
$ MI, NB, NBMIN, NI, NQ, NW
* ..
-* .. Local Arrays ..
- DOUBLE PRECISION T( LDT, NBMAX )
-* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
@@ -240,25 +235,22 @@
INFO = -7
ELSE IF( LDC.LT.MAX( 1, M ) ) THEN
INFO = -10
+ ELSE IF( LWORK.LT.NW .AND. .NOT.LQUERY ) THEN
+ INFO = -12
END IF
*
IF( INFO.EQ.0 ) THEN
+*
+* Compute the workspace requirements
+*
IF( M.EQ.0 .OR. N.EQ.0 ) THEN
LWKOPT = 1
ELSE
-*
-* Determine the block size. NB may be at most NBMAX, where
-* NBMAX is used to define the local array T.
-*
NB = MIN( NBMAX, ILAENV( 1, 'DORMQL', SIDE // TRANS, M, N,
$ K, -1 ) )
- LWKOPT = NW*NB
+ LWKOPT = NW*NB + TSIZE
END IF
WORK( 1 ) = LWKOPT
-*
- IF( LWORK.LT.NW .AND. .NOT.LQUERY ) THEN
- INFO = -12
- END IF
END IF
*
IF( INFO.NE.0 ) THEN
@@ -277,14 +269,11 @@
NBMIN = 2
LDWORK = NW
IF( NB.GT.1 .AND. NB.LT.K ) THEN
- IWS = NW*NB
- IF( LWORK.LT.IWS ) THEN
- NB = LWORK / LDWORK
+ IF( LWORK.LT.NW*NB+TSIZE ) THEN
+ NB = (LWORK-TSIZE) / LDWORK
NBMIN = MAX( 2, ILAENV( 2, 'DORMQL', SIDE // TRANS, M, N, K,
$ -1 ) )
END IF
- ELSE
- IWS = NW
END IF
*
IF( NB.LT.NBMIN .OR. NB.GE.K ) THEN
@@ -297,6 +286,7 @@
*
* Use blocked code
*
+ IWT = 1 + NW*NB
IF( ( LEFT .AND. NOTRAN ) .OR.
$ ( .NOT.LEFT .AND. .NOT.NOTRAN ) ) THEN
I1 = 1
@@ -321,7 +311,7 @@
* H = H(i+ib-1) . . . H(i+1) H(i)
*
CALL DLARFT( 'Backward', 'Columnwise', NQ-K+I+IB-1, IB,
- $ A( 1, I ), LDA, TAU( I ), T, LDT )
+ $ A( 1, I ), LDA, TAU( I ), WORK( IWT ), LDT )
IF( LEFT ) THEN
*
* H or H**T is applied to C(1:m-k+i+ib-1,1:n)
@@ -337,8 +327,8 @@
* Apply H or H**T
*
CALL DLARFB( SIDE, TRANS, 'Backward', 'Columnwise', MI, NI,
- $ IB, A( 1, I ), LDA, T, LDT, C, LDC, WORK,
- $ LDWORK )
+ $ IB, A( 1, I ), LDA, WORK( IWT ), LDT, C, LDC,
+ $ WORK, LDWORK )
10 CONTINUE
END IF
WORK( 1 ) = LWKOPT