Apply rounding up to workspace calculations done with reals (Reference-LAPACK PR 904)tags/v0.3.25^2
@@ -176,7 +176,8 @@ C> | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
@@ -225,13 +226,13 @@ C> | |||
* Optimal workspace for dlarfb = MAX(1,N)*NT | |||
* | |||
LWKOPT = (LBWORK+LLWORK)*NB | |||
WORK( 1 ) = (LWKOPT+NT*NT) | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT+NT*NT) | |||
ELSE | |||
LBWORK = CEILING(REAL(K)/REAL(NB))*NB | |||
LWKOPT = (LBWORK+LLWORK-NB)*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
@@ -413,7 +414,7 @@ C> | |||
END IF | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CGEQRF | |||
@@ -176,7 +176,8 @@ C> | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
DOUBLE PRECISION DROUNDUP_LWORK | |||
EXTERNAL ILAENV, DROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
@@ -225,13 +226,13 @@ C> | |||
* Optimal workspace for dlarfb = MAX(1,N)*NT | |||
* | |||
LWKOPT = (LBWORK+LLWORK)*NB | |||
WORK( 1 ) = (LWKOPT+NT*NT) | |||
WORK( 1 ) = DROUNDUP_LWORK(LWKOPT+NT*NT) | |||
ELSE | |||
LBWORK = CEILING(REAL(K)/REAL(NB))*NB | |||
LWKOPT = (LBWORK+LLWORK-NB)*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = DROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
@@ -413,7 +414,7 @@ C> | |||
END IF | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = DROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of DGEQRF | |||
@@ -176,7 +176,8 @@ C> | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
DOUBLE PRECISION DROUNDUP_LWORK | |||
EXTERNAL ILAENV, DROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
@@ -225,13 +226,13 @@ C> | |||
* Optimal workspace for dlarfb = MAX(1,N)*NT | |||
* | |||
LWKOPT = (LBWORK+LLWORK)*NB | |||
WORK( 1 ) = (LWKOPT+NT*NT) | |||
WORK( 1 ) = DROUNDUP_LWORK(LWKOPT+NT*NT) | |||
ELSE | |||
LBWORK = CEILING(REAL(K)/REAL(NB))*NB | |||
LWKOPT = (LBWORK+LLWORK-NB)*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = DROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
@@ -413,7 +414,7 @@ C> | |||
END IF | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = DROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of SGEQRF | |||
@@ -176,7 +176,8 @@ C> | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
@@ -225,13 +226,13 @@ C> | |||
* Optimal workspace for dlarfb = MAX(1,N)*NT | |||
* | |||
LWKOPT = (LBWORK+LLWORK)*NB | |||
WORK( 1 ) = (LWKOPT+NT*NT) | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT+NT*NT) | |||
ELSE | |||
LBWORK = CEILING(REAL(K)/REAL(NB))*NB | |||
LWKOPT = (LBWORK+LLWORK-NB)*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
@@ -413,7 +414,7 @@ C> | |||
END IF | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of ZGEQRF | |||
@@ -189,7 +189,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEeigen | |||
*> \ingroup gees | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGEES( JOBVS, SORT, SELECT, N, A, LDA, SDIM, W, VS, | |||
@@ -230,13 +230,13 @@ | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CCOPY, CGEBAK, CGEBAL, CGEHRD, CHSEQR, CLACPY, | |||
$ CLASCL, CTRSEN, CUNGHR, SLABAD, XERBLA | |||
$ CLASCL, CTRSEN, CUNGHR, XERBLA | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC MAX, SQRT | |||
@@ -292,7 +292,7 @@ | |||
MAXWRK = MAX( MAXWRK, HSWORK ) | |||
END IF | |||
END IF | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
* | |||
IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) THEN | |||
INFO = -12 | |||
@@ -318,7 +318,6 @@ | |||
EPS = SLAMCH( 'P' ) | |||
SMLNUM = SLAMCH( 'S' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
SMLNUM = SQRT( SMLNUM ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
* | |||
@@ -413,7 +412,7 @@ | |||
CALL CCOPY( N, A, LDA+1, W, 1 ) | |||
END IF | |||
* | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
RETURN | |||
* | |||
* End of CGEES | |||
@@ -230,7 +230,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEeigen | |||
*> \ingroup geesx | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGEESX( JOBVS, SORT, SELECT, SENSE, N, A, LDA, SDIM, W, | |||
@@ -274,13 +274,13 @@ | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CCOPY, CGEBAK, CGEBAL, CGEHRD, CHSEQR, CLACPY, | |||
$ CLASCL, CTRSEN, CUNGHR, SLABAD, SLASCL, XERBLA | |||
$ CLASCL, CTRSEN, CUNGHR, SLASCL, XERBLA | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC MAX, SQRT | |||
@@ -350,7 +350,7 @@ | |||
IF( .NOT.WANTSN ) | |||
$ LWRK = MAX( LWRK, ( N*N )/2 ) | |||
END IF | |||
WORK( 1 ) = LWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(LWRK) | |||
* | |||
IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) THEN | |||
INFO = -15 | |||
@@ -376,7 +376,6 @@ | |||
EPS = SLAMCH( 'P' ) | |||
SMLNUM = SLAMCH( 'S' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
SMLNUM = SQRT( SMLNUM ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
* | |||
@@ -488,7 +487,7 @@ | |||
END IF | |||
END IF | |||
* | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
RETURN | |||
* | |||
* End of CGEESX | |||
@@ -172,7 +172,7 @@ | |||
* | |||
* @generated from zgeev.f, fortran z -> c, Tue Apr 19 01:47:44 2016 | |||
* | |||
*> \ingroup complexGEeigen | |||
*> \ingroup geev | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGEEV( JOBVL, JOBVR, N, A, LDA, W, VL, LDVL, VR, LDVR, | |||
@@ -212,14 +212,15 @@ | |||
REAL DUM( 1 ) | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL SLABAD, XERBLA, CSSCAL, CGEBAK, CGEBAL, CGEHRD, | |||
EXTERNAL XERBLA, CSSCAL, CGEBAK, CGEBAL, CGEHRD, | |||
$ CHSEQR, CLACPY, CLASCL, CSCAL, CTREVC3, CUNGHR | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ISAMAX, ILAENV | |||
REAL SLAMCH, SCNRM2, CLANGE | |||
EXTERNAL LSAME, ISAMAX, ILAENV, SLAMCH, SCNRM2, CLANGE | |||
REAL SLAMCH, SCNRM2, CLANGE, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ISAMAX, ILAENV, SLAMCH, SCNRM2, CLANGE, | |||
$ SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC REAL, CMPLX, CONJG, AIMAG, MAX, SQRT | |||
@@ -291,7 +292,7 @@ | |||
HSWORK = INT( WORK(1) ) | |||
MAXWRK = MAX( MAXWRK, HSWORK, MINWRK ) | |||
END IF | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
* | |||
IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) THEN | |||
INFO = -12 | |||
@@ -315,7 +316,6 @@ | |||
EPS = SLAMCH( 'P' ) | |||
SMLNUM = SLAMCH( 'S' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
SMLNUM = SQRT( SMLNUM ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
* | |||
@@ -493,7 +493,7 @@ | |||
END IF | |||
END IF | |||
* | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
RETURN | |||
* | |||
* End of CGEEV | |||
@@ -279,7 +279,7 @@ | |||
* | |||
* @generated from zgeevx.f, fortran z -> c, Tue Apr 19 01:47:44 2016 | |||
* | |||
*> \ingroup complexGEeigen | |||
*> \ingroup geevx | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGEEVX( BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, W, VL, | |||
@@ -323,15 +323,16 @@ | |||
REAL DUM( 1 ) | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL SLABAD, SLASCL, XERBLA, CSSCAL, CGEBAK, CGEBAL, | |||
EXTERNAL SLASCL, XERBLA, CSSCAL, CGEBAK, CGEBAL, | |||
$ CGEHRD, CHSEQR, CLACPY, CLASCL, CSCAL, CTREVC3, | |||
$ CTRSNA, CUNGHR | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ISAMAX, ILAENV | |||
REAL SLAMCH, SCNRM2, CLANGE | |||
EXTERNAL LSAME, ISAMAX, ILAENV, SLAMCH, SCNRM2, CLANGE | |||
REAL SLAMCH, SCNRM2, CLANGE, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ISAMAX, ILAENV, SLAMCH, SCNRM2, CLANGE, | |||
$ SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC REAL, CMPLX, CONJG, AIMAG, MAX, SQRT | |||
@@ -434,7 +435,7 @@ | |||
END IF | |||
MAXWRK = MAX( MAXWRK, MINWRK ) | |||
END IF | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
* | |||
IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) THEN | |||
INFO = -20 | |||
@@ -458,7 +459,6 @@ | |||
EPS = SLAMCH( 'P' ) | |||
SMLNUM = SLAMCH( 'S' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
SMLNUM = SQRT( SMLNUM ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
* | |||
@@ -657,7 +657,7 @@ | |||
END IF | |||
END IF | |||
* | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
RETURN | |||
* | |||
* End of CGEEVX | |||
@@ -120,7 +120,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEcomputational | |||
*> \ingroup gehrd | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -201,7 +201,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -227,7 +228,7 @@ | |||
* | |||
NB = MIN( NBMAX, ILAENV( 1, 'CGEHRD', ' ', N, ILO, IHI, -1 ) ) | |||
LWKOPT = N*NB + TSIZE | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -344,7 +345,7 @@ | |||
* Use unblocked code to reduce the rest of the matrix | |||
* | |||
CALL CGEHD2( N, I, IHI, A, LDA, TAU, WORK, IINFO ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -166,6 +166,8 @@ | |||
*> the LQ factorization. | |||
*> \endverbatim | |||
*> | |||
*> \ingroup gelq | |||
*> | |||
* ===================================================================== | |||
SUBROUTINE CGELQ( M, N, A, LDA, T, TSIZE, WORK, LWORK, | |||
$ INFO ) | |||
@@ -190,7 +192,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGELQT, CLASWLQ, XERBLA | |||
@@ -292,9 +295,9 @@ | |||
T( 2 ) = MB | |||
T( 3 ) = NB | |||
IF( MINW ) THEN | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
ELSE | |||
WORK( 1 ) = LWREQ | |||
WORK( 1 ) = SROUNDUP_LWORK(LWREQ) | |||
END IF | |||
END IF | |||
IF( INFO.NE.0 ) THEN | |||
@@ -319,7 +322,7 @@ | |||
$ LWORK, INFO ) | |||
END IF | |||
* | |||
WORK( 1 ) = LWREQ | |||
WORK( 1 ) = SROUNDUP_LWORK(LWREQ) | |||
* | |||
RETURN | |||
* | |||
@@ -118,7 +118,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEcomputational | |||
*> \ingroup gelqf | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -167,7 +167,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -176,7 +177,7 @@ | |||
INFO = 0 | |||
NB = ILAENV( 1, 'CGELQF', ' ', M, N, -1, -1 ) | |||
LWKOPT = M*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
LQUERY = ( LWORK.EQ.-1 ) | |||
IF( M.LT.0 ) THEN | |||
INFO = -1 | |||
@@ -266,7 +267,7 @@ | |||
$ CALL CGELQ2( M-I+1, N-I+1, A( I, I ), LDA, TAU( I ), WORK, | |||
$ IINFO ) | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CGELQF | |||
@@ -204,7 +204,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEsolve | |||
*> \ingroup gelsd | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -249,13 +249,13 @@ | |||
* .. External Subroutines .. | |||
EXTERNAL CGEBRD, CGELQF, CGEQRF, CLACPY, | |||
$ CLALSD, CLASCL, CLASET, CUNMBR, | |||
$ CUNMLQ, CUNMQR, SLABAD, SLASCL, | |||
$ CUNMLQ, CUNMQR, SLASCL, | |||
$ SLASET, XERBLA | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL CLANGE, SLAMCH, ILAENV | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL CLANGE, SLAMCH, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC INT, LOG, MAX, MIN, REAL | |||
@@ -367,7 +367,7 @@ | |||
END IF | |||
END IF | |||
MINWRK = MIN( MINWRK, MAXWRK ) | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
IWORK( 1 ) = LIWORK | |||
RWORK( 1 ) = LRWORK | |||
* | |||
@@ -396,7 +396,6 @@ | |||
SFMIN = SLAMCH( 'S' ) | |||
SMLNUM = SFMIN / EPS | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
* | |||
* Scale A if max entry outside range [SMLNUM,BIGNUM]. | |||
* | |||
@@ -647,7 +646,7 @@ | |||
END IF | |||
* | |||
10 CONTINUE | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
IWORK( 1 ) = LIWORK | |||
RWORK( 1 ) = LRWORK | |||
RETURN | |||
@@ -218,8 +218,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL ILAENV, CLANGE, SLAMCH | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL ILAENV, CLANGE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC MAX, MIN | |||
@@ -361,7 +361,7 @@ | |||
END IF | |||
MAXWRK = MAX( MINWRK, MAXWRK ) | |||
END IF | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
* | |||
IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) | |||
$ INFO = -12 | |||
@@ -758,7 +758,7 @@ | |||
CALL CLASCL( 'G', 0, 0, BIGNUM, BNRM, N, NRHS, B, LDB, INFO ) | |||
END IF | |||
70 CONTINUE | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
RETURN | |||
* | |||
* End of CGELSS | |||
@@ -176,7 +176,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEsolve | |||
*> \ingroup gelst | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -224,15 +224,15 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL SLAMCH, CLANGE | |||
EXTERNAL LSAME, ILAENV, SLAMCH, CLANGE | |||
REAL SLAMCH, CLANGE, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SLAMCH, CLANGE, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGELQT, CGEQRT, CGEMLQT, CGEMQRT, SLABAD, | |||
EXTERNAL CGELQT, CGEQRT, CGEMLQT, CGEMQRT, | |||
$ CLASCL, CLASET, CTRTRS, XERBLA | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC REAL, MAX, MIN | |||
INTRINSIC MAX, MIN | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -270,7 +270,7 @@ | |||
* | |||
MNNRHS = MAX( MN, NRHS ) | |||
LWOPT = MAX( 1, (MN+MNNRHS)*NB ) | |||
WORK( 1 ) = REAL( LWOPT ) | |||
WORK( 1 ) = SROUNDUP_LWORK( LWOPT ) | |||
* | |||
END IF | |||
* | |||
@@ -285,7 +285,7 @@ | |||
* | |||
IF( MIN( M, N, NRHS ).EQ.0 ) THEN | |||
CALL CLASET( 'Full', MAX( M, N ), NRHS, CZERO, CZERO, B, LDB ) | |||
WORK( 1 ) = REAL( LWOPT ) | |||
WORK( 1 ) = SROUNDUP_LWORK( LWOPT ) | |||
RETURN | |||
END IF | |||
* | |||
@@ -311,7 +311,6 @@ | |||
* | |||
SMLNUM = SLAMCH( 'S' ) / SLAMCH( 'P' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
* | |||
* Scale A, B if max element outside range [SMLNUM,BIGNUM] | |||
* | |||
@@ -334,7 +333,7 @@ | |||
* Matrix all zero. Return zero solution. | |||
* | |||
CALL CLASET( 'Full', MAX( M, N ), NRHS, CZERO, CZERO, B, LDB ) | |||
WORK( 1 ) = REAL( LWOPT ) | |||
WORK( 1 ) = SROUNDUP_LWORK( LWOPT ) | |||
RETURN | |||
END IF | |||
* | |||
@@ -524,7 +523,7 @@ | |||
$ INFO ) | |||
END IF | |||
* | |||
WORK( 1 ) = REAL( LWOPT ) | |||
WORK( 1 ) = SROUNDUP_LWORK( LWOPT ) | |||
* | |||
RETURN | |||
* | |||
@@ -113,7 +113,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEcomputational | |||
*> \ingroup geqlf | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -162,7 +162,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -186,7 +187,7 @@ | |||
NB = ILAENV( 1, 'CGEQLF', ' ', M, N, -1, -1 ) | |||
LWKOPT = N*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.MAX( 1, N ) .AND. .NOT.LQUERY ) THEN | |||
INFO = -7 | |||
@@ -276,7 +277,7 @@ | |||
IF( MU.GT.0 .AND. NU.GT.0 ) | |||
$ CALL CGEQL2( MU, NU, A, LDA, TAU, WORK, IINFO ) | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CGEQLF | |||
@@ -121,7 +121,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEcomputational | |||
*> \ingroup geqrf | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -170,7 +170,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -199,7 +200,7 @@ | |||
ELSE | |||
LWKOPT = N*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
END IF | |||
* | |||
@@ -274,7 +275,7 @@ | |||
$ CALL CGEQR2( M-I+1, N-I+1, A( I, I ), LDA, TAU( I ), WORK, | |||
$ IINFO ) | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CGEQRF | |||
@@ -122,7 +122,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEcomputational | |||
*> \ingroup geqrfp | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -173,7 +173,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -182,7 +183,7 @@ | |||
INFO = 0 | |||
NB = ILAENV( 1, 'CGEQRF', ' ', M, N, -1, -1 ) | |||
LWKOPT = N*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
LQUERY = ( LWORK.EQ.-1 ) | |||
IF( M.LT.0 ) THEN | |||
INFO = -1 | |||
@@ -272,7 +273,7 @@ | |||
$ CALL CGEQR2P( M-I+1, N-I+1, A( I, I ), LDA, TAU( I ), WORK, | |||
$ IINFO ) | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CGEQRFP | |||
@@ -114,7 +114,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEcomputational | |||
*> \ingroup gerqf | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -163,7 +163,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -187,7 +188,7 @@ | |||
NB = ILAENV( 1, 'CGERQF', ' ', M, N, -1, -1 ) | |||
LWKOPT = M*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF ( .NOT.LQUERY ) THEN | |||
IF( LWORK.LE.0 .OR. ( N.GT.0 .AND. LWORK.LT.MAX( 1, M ) ) ) | |||
@@ -278,7 +279,7 @@ | |||
IF( MU.GT.0 .AND. NU.GT.0 ) | |||
$ CALL CGERQ2( MU, NU, A, LDA, TAU, WORK, IINFO ) | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CGERQF | |||
@@ -206,7 +206,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEsing | |||
*> \ingroup gesvd | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGESVD( JOBU, JOBVT, M, N, A, LDA, S, U, LDU, VT, LDVT, | |||
@@ -259,8 +259,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC MAX, MIN, SQRT | |||
@@ -615,7 +615,7 @@ | |||
END IF | |||
END IF | |||
MAXWRK = MAX( MINWRK, MAXWRK ) | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
* | |||
IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) THEN | |||
INFO = -13 | |||
@@ -3694,7 +3694,7 @@ | |||
* | |||
* Return optimal workspace in WORK(1) | |||
* | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
* | |||
RETURN | |||
* | |||
@@ -107,7 +107,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEcomputational | |||
*> \ingroup getri | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO ) | |||
@@ -138,7 +138,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGEMM, CGEMV, CSWAP, CTRSM, CTRTRI, XERBLA | |||
@@ -153,7 +154,7 @@ | |||
INFO = 0 | |||
NB = ILAENV( 1, 'CGETRI', ' ', N, -1, -1, -1 ) | |||
LWKOPT = N*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
LQUERY = ( LWORK.EQ.-1 ) | |||
IF( N.LT.0 ) THEN | |||
INFO = -1 | |||
@@ -251,7 +252,7 @@ | |||
$ CALL CSWAP( N, A( 1, J ), 1, A( 1, JP ), 1 ) | |||
60 CONTINUE | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CGETRI | |||
@@ -154,7 +154,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEsolve | |||
*> \ingroup getsls | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGETSLS( TRANS, M, N, NRHS, A, LDA, B, LDB, | |||
@@ -191,15 +191,15 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
REAL SLAMCH, CLANGE | |||
EXTERNAL LSAME, SLABAD, SLAMCH, CLANGE | |||
REAL SLAMCH, CLANGE, SROUNDUP_LWORK | |||
EXTERNAL LSAME, SLAMCH, CLANGE, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGEQR, CGEMQR, CLASCL, CLASET, | |||
$ CTRTRS, XERBLA, CGELQ, CGEMLQ | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC REAL, MAX, MIN, INT | |||
INTRINSIC MAX, MIN, INT | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -265,7 +265,7 @@ | |||
INFO = -10 | |||
END IF | |||
* | |||
WORK( 1 ) = REAL( WSIZEO ) | |||
WORK( 1 ) = SROUNDUP_LWORK( WSIZEO ) | |||
* | |||
END IF | |||
* | |||
@@ -274,7 +274,7 @@ | |||
RETURN | |||
END IF | |||
IF( LQUERY ) THEN | |||
IF( LWORK.EQ.-2 ) WORK( 1 ) = REAL( WSIZEM ) | |||
IF( LWORK.EQ.-2 ) WORK( 1 ) = SROUNDUP_LWORK( WSIZEM ) | |||
RETURN | |||
END IF | |||
IF( LWORK.LT.WSIZEO ) THEN | |||
@@ -297,7 +297,6 @@ | |||
* | |||
SMLNUM = SLAMCH( 'S' ) / SLAMCH( 'P' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
* | |||
* Scale A, B if max element outside range [SMLNUM,BIGNUM] | |||
* | |||
@@ -485,7 +484,7 @@ | |||
END IF | |||
* | |||
50 CONTINUE | |||
WORK( 1 ) = REAL( TSZO + LWO ) | |||
WORK( 1 ) = SROUNDUP_LWORK( TSZO + LWO ) | |||
RETURN | |||
* | |||
* End of CGETSLS | |||
@@ -261,7 +261,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEeigen | |||
*> \ingroup gges | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGGES( JOBVSL, JOBVSR, SORT, SELCTG, N, A, LDA, B, LDB, | |||
@@ -312,14 +312,13 @@ | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGEQRF, CGGBAK, CGGBAL, CGGHRD, CHGEQZ, CLACPY, | |||
$ CLASCL, CLASET, CTGSEN, CUNGQR, CUNMQR, SLABAD, | |||
$ XERBLA | |||
$ CLASCL, CLASET, CTGSEN, CUNGQR, CUNMQR, XERBLA | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC MAX, SQRT | |||
@@ -390,7 +389,7 @@ | |||
LWKOPT = MAX( LWKOPT, N + | |||
$ N*ILAENV( 1, 'CUNGQR', ' ', N, 1, N, -1 ) ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) | |||
$ INFO = -18 | |||
@@ -415,7 +414,6 @@ | |||
EPS = SLAMCH( 'P' ) | |||
SMLNUM = SLAMCH( 'S' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
SMLNUM = SQRT( SMLNUM ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
* | |||
@@ -587,7 +585,7 @@ | |||
* | |||
30 CONTINUE | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -320,7 +320,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEeigen | |||
*> \ingroup ggesx | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGGESX( JOBVSL, JOBVSR, SORT, SELCTG, SENSE, N, A, LDA, | |||
@@ -373,14 +373,13 @@ | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGEQRF, CGGBAK, CGGBAL, CGGHRD, CHGEQZ, CLACPY, | |||
$ CLASCL, CLASET, CTGSEN, CUNGQR, CUNMQR, SLABAD, | |||
$ XERBLA | |||
$ CLASCL, CLASET, CTGSEN, CUNGQR, CUNMQR, XERBLA | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC MAX, SQRT | |||
@@ -476,7 +475,7 @@ | |||
MAXWRK = 1 | |||
LWRK = 1 | |||
END IF | |||
WORK( 1 ) = LWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(LWRK) | |||
IF( WANTSN .OR. N.EQ.0 ) THEN | |||
LIWMIN = 1 | |||
ELSE | |||
@@ -510,7 +509,6 @@ | |||
EPS = SLAMCH( 'P' ) | |||
SMLNUM = SLAMCH( 'S' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
SMLNUM = SQRT( SMLNUM ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
* | |||
@@ -705,7 +703,7 @@ | |||
* | |||
40 CONTINUE | |||
* | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
RETURN | |||
@@ -209,7 +209,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEeigen | |||
*> \ingroup ggev | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGGEV( JOBVL, JOBVR, N, A, LDA, B, LDB, ALPHA, BETA, | |||
@@ -254,14 +254,13 @@ | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGEQRF, CGGBAK, CGGBAL, CGGHRD, CHGEQZ, CLACPY, | |||
$ CLASCL, CLASET, CTGEVC, CUNGQR, CUNMQR, SLABAD, | |||
$ XERBLA | |||
$ CLASCL, CLASET, CTGEVC, CUNGQR, CUNMQR, XERBLA | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC ABS, AIMAG, MAX, REAL, SQRT | |||
@@ -336,7 +335,7 @@ | |||
LWKOPT = MAX( LWKOPT, N + | |||
$ N*ILAENV( 1, 'CUNGQR', ' ', N, 1, N, -1 ) ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) | |||
$ INFO = -15 | |||
@@ -359,7 +358,6 @@ | |||
EPS = SLAMCH( 'E' )*SLAMCH( 'B' ) | |||
SMLNUM = SLAMCH( 'S' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
SMLNUM = SQRT( SMLNUM ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
* | |||
@@ -547,7 +545,7 @@ | |||
IF( ILBSCL ) | |||
$ CALL CLASCL( 'G', 0, 0, BNRMTO, BNRM, N, 1, BETA, N, IERR ) | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CGGEV | |||
@@ -335,7 +335,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGEeigen | |||
*> \ingroup ggevx | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -416,13 +416,13 @@ | |||
* .. External Subroutines .. | |||
EXTERNAL CGEQRF, CGGBAK, CGGBAL, CGGHRD, CHGEQZ, CLACPY, | |||
$ CLASCL, CLASET, CTGEVC, CTGSNA, CUNGQR, CUNMQR, | |||
$ SLABAD, SLASCL, XERBLA | |||
$ SLASCL, XERBLA | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANGE, SLAMCH | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH | |||
REAL CLANGE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, CLANGE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC ABS, AIMAG, MAX, REAL, SQRT | |||
@@ -521,7 +521,7 @@ | |||
$ N*ILAENV( 1, 'CUNGQR', ' ', N, 1, N, 0 ) ) | |||
END IF | |||
END IF | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
* | |||
IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) THEN | |||
INFO = -25 | |||
@@ -545,7 +545,6 @@ | |||
EPS = SLAMCH( 'P' ) | |||
SMLNUM = SLAMCH( 'S' ) | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
SMLNUM = SQRT( SMLNUM ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
* | |||
@@ -793,7 +792,7 @@ | |||
IF( ILBSCL ) | |||
$ CALL CLASCL( 'G', 0, 0, BNRMTO, BNRM, N, 1, BETA, N, IERR ) | |||
* | |||
WORK( 1 ) = MAXWRK | |||
WORK( 1 ) = SROUNDUP_LWORK(MAXWRK) | |||
RETURN | |||
* | |||
* End of CGGEVX | |||
@@ -177,7 +177,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHEReigen | |||
*> \ingroup ggglm | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGGGLM( N, M, P, A, LDA, B, LDB, D, X, Y, WORK, LWORK, | |||
@@ -213,7 +213,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC INT, MAX, MIN | |||
@@ -252,7 +253,7 @@ | |||
LWKMIN = M + N + P | |||
LWKOPT = M + NP + MAX( N, P )*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -12 | |||
@@ -172,7 +172,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERsolve | |||
*> \ingroup gglse | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CGGLSE( M, N, P, A, LDA, B, LDB, C, D, X, WORK, LWORK, | |||
@@ -207,7 +207,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC INT, MAX, MIN | |||
@@ -246,7 +247,7 @@ | |||
LWKMIN = M + N + P | |||
LWKOPT = P + MN + MAX( M, N )*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -12 | |||
@@ -173,7 +173,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup ggqrf | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -236,7 +236,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC INT, MAX, MIN | |||
@@ -251,7 +252,7 @@ | |||
NB3 = ILAENV( 1, 'CUNMQR', ' ', N, M, P, -1 ) | |||
NB = MAX( NB1, NB2, NB3 ) | |||
LWKOPT = MAX( N, M, P)*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
LQUERY = ( LWORK.EQ.-1 ) | |||
IF( N.LT.0 ) THEN | |||
INFO = -1 | |||
@@ -172,7 +172,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup ggrqf | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -235,7 +235,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC INT, MAX, MIN | |||
@@ -250,7 +251,7 @@ | |||
NB3 = ILAENV( 1, 'CUNMRQ', ' ', M, N, P, -1 ) | |||
NB = MAX( NB1, NB2, NB3 ) | |||
LWKOPT = MAX( N, M, P)*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
LQUERY = ( LWORK.EQ.-1 ) | |||
IF( M.LT.0 ) THEN | |||
INFO = -1 | |||
@@ -132,7 +132,7 @@ | |||
*> \verbatim | |||
*> LWORK is INTEGER | |||
*> The length of the array WORK. LWORK >= 1, when N <= 1; | |||
*> otherwise | |||
*> otherwise | |||
*> If JOBZ = 'N' and N > 1, LWORK must be queried. | |||
*> LWORK = MAX(1, dimension) where | |||
*> dimension = (2KD+1)*N + KD*NTHREADS | |||
@@ -171,7 +171,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHEReigen | |||
*> \ingroup hbev_2stage | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -189,7 +189,7 @@ | |||
*> http://doi.acm.org/10.1145/2063384.2063394 | |||
*> | |||
*> A. Haidar, J. Kurzak, P. Luszczek, 2013. | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> for multicore hardware, In Proceedings of 2013 International Conference | |||
*> for High Performance Computing, Networking, Storage and Analysis (SC '13). | |||
*> Denver, Colorado, USA, 2013. | |||
@@ -197,11 +197,11 @@ | |||
*> http://doi.acm.org/10.1145/2503210.2503292 | |||
*> | |||
*> A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> calculations based on fine-grained memory aware tasks. | |||
*> International Journal of High Performance Computing Applications. | |||
*> Volume 28 Issue 2, Pages 196-209, May 2014. | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> | |||
*> \endverbatim | |||
* | |||
@@ -240,8 +240,9 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV2STAGE | |||
REAL SLAMCH, CLANHB | |||
EXTERNAL LSAME, SLAMCH, CLANHB, ILAENV2STAGE | |||
REAL SLAMCH, CLANHB, SROUNDUP_LWORK | |||
EXTERNAL LSAME, SLAMCH, CLANHB, ILAENV2STAGE, | |||
$ SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL SSCAL, SSTERF, XERBLA, CLASCL, CSTEQR, | |||
@@ -276,7 +277,7 @@ | |||
IF( INFO.EQ.0 ) THEN | |||
IF( N.LE.1 ) THEN | |||
LWMIN = 1 | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
ELSE | |||
IB = ILAENV2STAGE( 2, 'CHETRD_HB2ST', JOBZ, | |||
$ N, KD, -1, -1 ) | |||
@@ -285,7 +286,7 @@ | |||
LWTRD = ILAENV2STAGE( 4, 'CHETRD_HB2ST', JOBZ, | |||
$ N, KD, IB, -1 ) | |||
LWMIN = LHTRD + LWTRD | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
ENDIF | |||
* | |||
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) | |||
@@ -351,7 +352,7 @@ | |||
LLWORK = LWORK - INDWRK + 1 | |||
* | |||
CALL CHETRD_HB2ST( "N", JOBZ, UPLO, N, KD, AB, LDAB, W, | |||
$ RWORK( INDE ), WORK( INDHOUS ), LHTRD, | |||
$ RWORK( INDE ), WORK( INDHOUS ), LHTRD, | |||
$ WORK( INDWRK ), LLWORK, IINFO ) | |||
* | |||
* For eigenvalues only, call SSTERF. For eigenvectors, call CSTEQR. | |||
@@ -377,7 +378,7 @@ | |||
* | |||
* Set WORK(1) to optimal workspace size. | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
RETURN | |||
* | |||
@@ -201,7 +201,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHEReigen | |||
*> \ingroup hbevd | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHBEVD( JOBZ, UPLO, N, KD, AB, LDAB, W, Z, LDZ, WORK, | |||
@@ -239,8 +239,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
REAL CLANHB, SLAMCH | |||
EXTERNAL LSAME, CLANHB, SLAMCH | |||
REAL CLANHB, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, CLANHB, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGEMM, CHBTRD, CLACPY, CLASCL, CSTEDC, SSCAL, | |||
@@ -288,7 +288,7 @@ | |||
END IF | |||
* | |||
IF( INFO.EQ.0 ) THEN | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
@@ -382,7 +382,7 @@ | |||
CALL SSCAL( IMAX, ONE / SIGMA, W, 1 ) | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
RETURN | |||
@@ -22,7 +22,7 @@ | |||
* | |||
* SUBROUTINE CHBEVX_2STAGE( JOBZ, RANGE, UPLO, N, KD, AB, LDAB, | |||
* Q, LDQ, VL, VU, IL, IU, ABSTOL, M, W, | |||
* Z, LDZ, WORK, LWORK, RWORK, IWORK, | |||
* Z, LDZ, WORK, LWORK, RWORK, IWORK, | |||
* IFAIL, INFO ) | |||
* | |||
* IMPLICIT NONE | |||
@@ -233,7 +233,7 @@ | |||
*> \verbatim | |||
*> LWORK is INTEGER | |||
*> The length of the array WORK. LWORK >= 1, when N <= 1; | |||
*> otherwise | |||
*> otherwise | |||
*> If JOBZ = 'N' and N > 1, LWORK must be queried. | |||
*> LWORK = MAX(1, dimension) where | |||
*> dimension = (2KD+1)*N + KD*NTHREADS | |||
@@ -285,7 +285,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHEReigen | |||
*> \ingroup hbevx_2stage | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -303,7 +303,7 @@ | |||
*> http://doi.acm.org/10.1145/2063384.2063394 | |||
*> | |||
*> A. Haidar, J. Kurzak, P. Luszczek, 2013. | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> for multicore hardware, In Proceedings of 2013 International Conference | |||
*> for High Performance Computing, Networking, Storage and Analysis (SC '13). | |||
*> Denver, Colorado, USA, 2013. | |||
@@ -311,18 +311,18 @@ | |||
*> http://doi.acm.org/10.1145/2503210.2503292 | |||
*> | |||
*> A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> calculations based on fine-grained memory aware tasks. | |||
*> International Journal of High Performance Computing Applications. | |||
*> Volume 28 Issue 2, Pages 196-209, May 2014. | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> | |||
*> \endverbatim | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHBEVX_2STAGE( JOBZ, RANGE, UPLO, N, KD, AB, LDAB, | |||
$ Q, LDQ, VL, VU, IL, IU, ABSTOL, M, W, | |||
$ Z, LDZ, WORK, LWORK, RWORK, IWORK, | |||
$ Z, LDZ, WORK, LWORK, RWORK, IWORK, | |||
$ IFAIL, INFO ) | |||
* | |||
IMPLICIT NONE | |||
@@ -367,8 +367,9 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV2STAGE | |||
REAL SLAMCH, CLANHB | |||
EXTERNAL LSAME, SLAMCH, CLANHB, ILAENV2STAGE | |||
REAL SLAMCH, CLANHB, SROUNDUP_LWORK | |||
EXTERNAL LSAME, SLAMCH, CLANHB, ILAENV2STAGE, | |||
$ SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL SCOPY, SSCAL, SSTEBZ, SSTERF, XERBLA, CCOPY, | |||
@@ -424,16 +425,16 @@ | |||
IF( INFO.EQ.0 ) THEN | |||
IF( N.LE.1 ) THEN | |||
LWMIN = 1 | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
ELSE | |||
IB = ILAENV2STAGE( 2, 'CHETRD_HB2ST', JOBZ, | |||
$ N, KD, -1, -1 ) | |||
LHTRD = ILAENV2STAGE( 3, 'CHETRD_HB2ST', JOBZ, | |||
LHTRD = ILAENV2STAGE( 3, 'CHETRD_HB2ST', JOBZ, | |||
$ N, KD, IB, -1 ) | |||
LWTRD = ILAENV2STAGE( 4, 'CHETRD_HB2ST', JOBZ, | |||
LWTRD = ILAENV2STAGE( 4, 'CHETRD_HB2ST', JOBZ, | |||
$ N, KD, IB, -1 ) | |||
LWMIN = LHTRD + LWTRD | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
ENDIF | |||
* | |||
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) | |||
@@ -637,7 +638,7 @@ | |||
* | |||
* Set WORK(1) to optimal workspace size. | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
RETURN | |||
* | |||
@@ -232,7 +232,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHEReigen | |||
*> \ingroup hbgvd | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -275,7 +275,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL SSTERF, XERBLA, CGEMM, CHBGST, CHBTRD, CLACPY, | |||
@@ -322,7 +323,7 @@ | |||
END IF | |||
* | |||
IF( INFO.EQ.0 ) THEN | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
@@ -388,7 +389,7 @@ | |||
CALL CLACPY( 'A', N, N, WORK( INDWK2 ), N, Z, LDZ ) | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
RETURN | |||
@@ -132,7 +132,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup heev | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHEEV( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, RWORK, | |||
@@ -169,8 +169,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANHE, SLAMCH | |||
EXTERNAL ILAENV, LSAME, CLANHE, SLAMCH | |||
REAL CLANHE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, CLANHE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHETRD, CLASCL, CSTEQR, CUNGTR, SSCAL, SSTERF, | |||
@@ -201,7 +201,7 @@ | |||
IF( INFO.EQ.0 ) THEN | |||
NB = ILAENV( 1, 'CHETRD', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( 1, ( NB+1 )*N ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.MAX( 1, 2*N-1 ) .AND. .NOT.LQUERY ) | |||
$ INFO = -8 | |||
@@ -286,7 +286,7 @@ | |||
* | |||
* Set WORK(1) to optimal complex workspace size. | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -106,12 +106,12 @@ | |||
*> \verbatim | |||
*> LWORK is INTEGER | |||
*> The length of the array WORK. LWORK >= 1, when N <= 1; | |||
*> otherwise | |||
*> otherwise | |||
*> If JOBZ = 'N' and N > 1, LWORK must be queried. | |||
*> LWORK = MAX(1, dimension) where | |||
*> dimension = max(stage1,stage2) + (KD+1)*N + N | |||
*> = N*KD + N*max(KD+1,FACTOPTNB) | |||
*> + max(2*KD*KD, KD*NTHREADS) | |||
*> = N*KD + N*max(KD+1,FACTOPTNB) | |||
*> + max(2*KD*KD, KD*NTHREADS) | |||
*> + (KD+1)*N + N | |||
*> where KD is the blocking size of the reduction, | |||
*> FACTOPTNB is the blocking used by the QR or LQ | |||
@@ -149,7 +149,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup heev_2stage | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -167,7 +167,7 @@ | |||
*> http://doi.acm.org/10.1145/2063384.2063394 | |||
*> | |||
*> A. Haidar, J. Kurzak, P. Luszczek, 2013. | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> for multicore hardware, In Proceedings of 2013 International Conference | |||
*> for High Performance Computing, Networking, Storage and Analysis (SC '13). | |||
*> Denver, Colorado, USA, 2013. | |||
@@ -175,11 +175,11 @@ | |||
*> http://doi.acm.org/10.1145/2503210.2503292 | |||
*> | |||
*> A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> calculations based on fine-grained memory aware tasks. | |||
*> International Journal of High Performance Computing Applications. | |||
*> Volume 28 Issue 2, Pages 196-209, May 2014. | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> | |||
*> \endverbatim | |||
* | |||
@@ -220,8 +220,9 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV2STAGE | |||
REAL SLAMCH, CLANHE | |||
EXTERNAL LSAME, SLAMCH, CLANHE, ILAENV2STAGE | |||
REAL SLAMCH, CLANHE, SROUNDUP_LWORK | |||
EXTERNAL LSAME, SLAMCH, CLANHE, ILAENV2STAGE, | |||
$ SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL SSCAL, SSTERF, XERBLA, CLASCL, CSTEQR, | |||
@@ -255,7 +256,7 @@ | |||
LHTRD = ILAENV2STAGE( 3, 'CHETRD_2STAGE', JOBZ, N, KD, IB, -1 ) | |||
LWTRD = ILAENV2STAGE( 4, 'CHETRD_2STAGE', JOBZ, N, KD, IB, -1 ) | |||
LWMIN = N + LHTRD + LWTRD | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) | |||
$ INFO = -8 | |||
@@ -314,7 +315,7 @@ | |||
LLWORK = LWORK - INDWRK + 1 | |||
* | |||
CALL CHETRD_2STAGE( JOBZ, UPLO, N, A, LDA, W, RWORK( INDE ), | |||
$ WORK( INDTAU ), WORK( INDHOUS ), LHTRD, | |||
$ WORK( INDTAU ), WORK( INDHOUS ), LHTRD, | |||
$ WORK( INDWRK ), LLWORK, IINFO ) | |||
* | |||
* For eigenvalues only, call SSTERF. For eigenvectors, first call | |||
@@ -343,7 +344,7 @@ | |||
* | |||
* Set WORK(1) to optimal complex workspace size. | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
RETURN | |||
* | |||
@@ -180,7 +180,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup heevd | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -230,8 +230,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANHE, SLAMCH | |||
EXTERNAL ILAENV, LSAME, CLANHE, SLAMCH | |||
REAL CLANHE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, CLANHE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHETRD, CLACPY, CLASCL, CSTEDC, CUNMTR, SSCAL, | |||
@@ -282,7 +282,7 @@ | |||
LROPT = LRWMIN | |||
LIOPT = LIWMIN | |||
END IF | |||
WORK( 1 ) = LOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LOPT) | |||
RWORK( 1 ) = LROPT | |||
IWORK( 1 ) = LIOPT | |||
* | |||
@@ -378,7 +378,7 @@ | |||
CALL SSCAL( IMAX, ONE / SIGMA, W, 1 ) | |||
END IF | |||
* | |||
WORK( 1 ) = LOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LOPT) | |||
RWORK( 1 ) = LROPT | |||
IWORK( 1 ) = LIOPT | |||
* | |||
@@ -338,7 +338,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup heevr | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -392,8 +392,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANSY, SLAMCH | |||
EXTERNAL LSAME, ILAENV, CLANSY, SLAMCH | |||
REAL CLANSY, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, CLANSY, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHETRD, CSSCAL, CSTEMR, CSTEIN, CSWAP, CUNMTR, | |||
@@ -454,7 +454,7 @@ | |||
NB = ILAENV( 1, 'CHETRD', UPLO, N, -1, -1, -1 ) | |||
NB = MAX( NB, ILAENV( 1, 'CUNMTR', UPLO, N, -1, -1, -1 ) ) | |||
LWKOPT = MAX( ( NB+1 )*N, LWMIN ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
@@ -710,7 +710,7 @@ | |||
* | |||
* Set WORK(1) to optimal workspace size. | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
@@ -250,7 +250,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup heevx | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHEEVX( JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, | |||
@@ -294,8 +294,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL SLAMCH, CLANHE | |||
EXTERNAL LSAME, ILAENV, SLAMCH, CLANHE | |||
REAL SLAMCH, CLANHE, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SLAMCH, CLANHE, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL SCOPY, SSCAL, SSTEBZ, SSTERF, XERBLA, CSSCAL, | |||
@@ -354,7 +354,7 @@ | |||
NB = ILAENV( 1, 'CHETRD', UPLO, N, -1, -1, -1 ) | |||
NB = MAX( NB, ILAENV( 1, 'CUNMTR', UPLO, N, -1, -1, -1 ) ) | |||
LWKOPT = MAX( 1, ( NB + 1 )*N ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) | |||
@@ -552,7 +552,7 @@ | |||
* | |||
* Set WORK(1) to optimal complex workspace size. | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -209,12 +209,12 @@ | |||
*> \verbatim | |||
*> LWORK is INTEGER | |||
*> The length of the array WORK. LWORK >= 1, when N <= 1; | |||
*> otherwise | |||
*> otherwise | |||
*> If JOBZ = 'N' and N > 1, LWORK must be queried. | |||
*> LWORK = MAX(1, 8*N, dimension) where | |||
*> dimension = max(stage1,stage2) + (KD+1)*N + N | |||
*> = N*KD + N*max(KD+1,FACTOPTNB) | |||
*> + max(2*KD*KD, KD*NTHREADS) | |||
*> = N*KD + N*max(KD+1,FACTOPTNB) | |||
*> + max(2*KD*KD, KD*NTHREADS) | |||
*> + (KD+1)*N + N | |||
*> where KD is the blocking size of the reduction, | |||
*> FACTOPTNB is the blocking used by the QR or LQ | |||
@@ -265,7 +265,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup heevx_2stage | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -283,7 +283,7 @@ | |||
*> http://doi.acm.org/10.1145/2063384.2063394 | |||
*> | |||
*> A. Haidar, J. Kurzak, P. Luszczek, 2013. | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> for multicore hardware, In Proceedings of 2013 International Conference | |||
*> for High Performance Computing, Networking, Storage and Analysis (SC '13). | |||
*> Denver, Colorado, USA, 2013. | |||
@@ -291,11 +291,11 @@ | |||
*> http://doi.acm.org/10.1145/2503210.2503292 | |||
*> | |||
*> A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> calculations based on fine-grained memory aware tasks. | |||
*> International Journal of High Performance Computing Applications. | |||
*> Volume 28 Issue 2, Pages 196-209, May 2014. | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> | |||
*> \endverbatim | |||
* | |||
@@ -335,7 +335,7 @@ | |||
CHARACTER ORDER | |||
INTEGER I, IINFO, IMAX, INDD, INDE, INDEE, INDIBL, | |||
$ INDISP, INDIWK, INDRWK, INDTAU, INDWRK, ISCALE, | |||
$ ITMP1, J, JJ, LLWORK, | |||
$ ITMP1, J, JJ, LLWORK, | |||
$ NSPLIT, LWMIN, LHTRD, LWTRD, KD, IB, INDHOUS | |||
REAL ABSTLL, ANRM, BIGNUM, EPS, RMAX, RMIN, SAFMIN, | |||
$ SIGMA, SMLNUM, TMP1, VLL, VUU | |||
@@ -343,8 +343,9 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV2STAGE | |||
REAL SLAMCH, CLANHE | |||
EXTERNAL LSAME, SLAMCH, CLANHE, ILAENV2STAGE | |||
REAL SLAMCH, CLANHE, SROUNDUP_LWORK | |||
EXTERNAL LSAME, SLAMCH, CLANHE, ILAENV2STAGE, | |||
$ SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL SCOPY, SSCAL, SSTEBZ, SSTERF, XERBLA, CSSCAL, | |||
@@ -397,7 +398,7 @@ | |||
IF( INFO.EQ.0 ) THEN | |||
IF( N.LE.1 ) THEN | |||
LWMIN = 1 | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
ELSE | |||
KD = ILAENV2STAGE( 1, 'CHETRD_2STAGE', JOBZ, | |||
$ N, -1, -1, -1 ) | |||
@@ -408,7 +409,7 @@ | |||
LWTRD = ILAENV2STAGE( 4, 'CHETRD_2STAGE', JOBZ, | |||
$ N, KD, IB, -1 ) | |||
LWMIN = N + LHTRD + LWTRD | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
END IF | |||
* | |||
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) | |||
@@ -499,7 +500,7 @@ | |||
LLWORK = LWORK - INDWRK + 1 | |||
* | |||
CALL CHETRD_2STAGE( JOBZ, UPLO, N, A, LDA, RWORK( INDD ), | |||
$ RWORK( INDE ), WORK( INDTAU ), | |||
$ RWORK( INDE ), WORK( INDTAU ), | |||
$ WORK( INDHOUS ), LHTRD, WORK( INDWRK ), | |||
$ LLWORK, IINFO ) | |||
* | |||
@@ -610,7 +611,7 @@ | |||
* | |||
* Set WORK(1) to optimal complex workspace size. | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
RETURN | |||
* | |||
@@ -173,7 +173,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup hegv | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHEGV( ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, | |||
@@ -206,7 +206,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV, LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHEEV, CHEGST, CPOTRF, CTRMM, CTRSM, XERBLA | |||
@@ -240,7 +241,7 @@ | |||
IF( INFO.EQ.0 ) THEN | |||
NB = ILAENV( 1, 'CHETRD', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( 1, ( NB + 1 )*N ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.MAX( 1, 2*N-1 ) .AND. .NOT.LQUERY ) THEN | |||
INFO = -11 | |||
@@ -309,7 +310,7 @@ | |||
END IF | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -144,12 +144,12 @@ | |||
*> \verbatim | |||
*> LWORK is INTEGER | |||
*> The length of the array WORK. LWORK >= 1, when N <= 1; | |||
*> otherwise | |||
*> otherwise | |||
*> If JOBZ = 'N' and N > 1, LWORK must be queried. | |||
*> LWORK = MAX(1, dimension) where | |||
*> dimension = max(stage1,stage2) + (KD+1)*N + N | |||
*> = N*KD + N*max(KD+1,FACTOPTNB) | |||
*> + max(2*KD*KD, KD*NTHREADS) | |||
*> = N*KD + N*max(KD+1,FACTOPTNB) | |||
*> + max(2*KD*KD, KD*NTHREADS) | |||
*> + (KD+1)*N + N | |||
*> where KD is the blocking size of the reduction, | |||
*> FACTOPTNB is the blocking used by the QR or LQ | |||
@@ -192,7 +192,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup hegv_2stage | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -210,7 +210,7 @@ | |||
*> http://doi.acm.org/10.1145/2063384.2063394 | |||
*> | |||
*> A. Haidar, J. Kurzak, P. Luszczek, 2013. | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> for multicore hardware, In Proceedings of 2013 International Conference | |||
*> for High Performance Computing, Networking, Storage and Analysis (SC '13). | |||
*> Denver, Colorado, USA, 2013. | |||
@@ -218,11 +218,11 @@ | |||
*> http://doi.acm.org/10.1145/2503210.2503292 | |||
*> | |||
*> A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> calculations based on fine-grained memory aware tasks. | |||
*> International Journal of High Performance Computing Applications. | |||
*> Volume 28 Issue 2, Pages 196-209, May 2014. | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> | |||
*> \endverbatim | |||
* | |||
@@ -259,7 +259,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV2STAGE | |||
EXTERNAL LSAME, ILAENV2STAGE | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV2STAGE, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CHEGST, CPOTRF, CTRMM, CTRSM, | |||
@@ -297,7 +298,7 @@ | |||
LHTRD = ILAENV2STAGE( 3, 'CHETRD_2STAGE', JOBZ, N, KD, IB, -1 ) | |||
LWTRD = ILAENV2STAGE( 4, 'CHETRD_2STAGE', JOBZ, N, KD, IB, -1 ) | |||
LWMIN = N + LHTRD + LWTRD | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -11 | |||
@@ -327,7 +328,7 @@ | |||
* Transform problem to standard eigenvalue problem and solve. | |||
* | |||
CALL CHEGST( ITYPE, UPLO, N, A, LDA, B, LDB, INFO ) | |||
CALL CHEEV_2STAGE( JOBZ, UPLO, N, A, LDA, W, | |||
CALL CHEEV_2STAGE( JOBZ, UPLO, N, A, LDA, W, | |||
$ WORK, LWORK, RWORK, INFO ) | |||
* | |||
IF( WANTZ ) THEN | |||
@@ -367,7 +368,7 @@ | |||
END IF | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
RETURN | |||
* | |||
@@ -219,7 +219,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup hegvd | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -268,7 +268,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHEEVD, CHEGST, CPOTRF, CTRMM, CTRSM, XERBLA | |||
@@ -316,7 +317,7 @@ | |||
END IF | |||
* | |||
IF( INFO.EQ.0 ) THEN | |||
WORK( 1 ) = LOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LOPT) | |||
RWORK( 1 ) = LROPT | |||
IWORK( 1 ) = LIOPT | |||
* | |||
@@ -392,7 +393,7 @@ | |||
END IF | |||
END IF | |||
* | |||
WORK( 1 ) = LOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LOPT) | |||
RWORK( 1 ) = LROPT | |||
IWORK( 1 ) = LIOPT | |||
* | |||
@@ -293,7 +293,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEeigen | |||
*> \ingroup hegvx | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -335,7 +335,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV, LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHEEVX, CHEGST, CPOTRF, CTRMM, CTRSM, XERBLA | |||
@@ -390,7 +391,7 @@ | |||
IF( INFO.EQ.0 ) THEN | |||
NB = ILAENV( 1, 'CHETRD', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( 1, ( NB + 1 )*N ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.MAX( 1, 2*N ) .AND. .NOT.LQUERY ) THEN | |||
INFO = -20 | |||
@@ -464,7 +465,7 @@ | |||
* | |||
* Set WORK(1) to optimal complex workspace size. | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -163,7 +163,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEsolve | |||
*> \ingroup hesv | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHESV( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, | |||
@@ -191,7 +191,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CHETRF, CHETRS, CHETRS2 | |||
@@ -226,7 +227,7 @@ | |||
NB = ILAENV( 1, 'CHETRF', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = N*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -259,7 +260,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -154,7 +154,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEsolve | |||
*> \ingroup hesv_aa | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHESV_AA( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, | |||
@@ -182,7 +182,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CHETRF_AA, CHETRS_AA | |||
@@ -217,7 +218,7 @@ | |||
$ -1, INFO ) | |||
LWKOPT_HETRS = INT( WORK(1) ) | |||
LWKOPT = MAX( LWKOPT_HETRF, LWKOPT_HETRS ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -239,7 +240,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -177,7 +177,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hesv_aa_2stage | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHESV_AA_2STAGE( UPLO, N, NRHS, A, LDA, TB, LTB, | |||
@@ -207,7 +207,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHETRF_AA_2STAGE, CHETRS_AA_2STAGE, | |||
@@ -267,7 +268,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -205,7 +205,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEsolve | |||
*> \ingroup hesv_rk | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -247,7 +247,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CHETRF_RK, CHETRS_3 | |||
@@ -282,7 +283,7 @@ | |||
CALL CHETRF_RK( UPLO, N, A, LDA, E, IPIV, WORK, -1, INFO ) | |||
LWKOPT = INT( WORK( 1 ) ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -304,7 +305,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -184,7 +184,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEsolve | |||
*> \ingroup hesv_rook | |||
*> | |||
*> \verbatim | |||
*> | |||
@@ -225,7 +225,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CHETRF_ROOK, CHETRS_ROOK | |||
@@ -260,7 +261,7 @@ | |||
NB = ILAENV( 1, 'CHETRF_ROOK', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = N*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -283,7 +284,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -276,7 +276,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEsolve | |||
*> \ingroup hesvx | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHESVX( FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, | |||
@@ -313,8 +313,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANHE, SLAMCH | |||
EXTERNAL ILAENV, LSAME, CLANHE, SLAMCH | |||
REAL CLANHE, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, CLANHE, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHECON, CHERFS, CHETRF, CHETRS, CLACPY, XERBLA | |||
@@ -356,7 +356,7 @@ | |||
NB = ILAENV( 1, 'CHETRF', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( LWKOPT, N*NB ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -405,7 +405,7 @@ | |||
IF( RCOND.LT.SLAMCH( 'Epsilon' ) ) | |||
$ INFO = N + 1 | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -18,7 +18,7 @@ | |||
* Definition: | |||
* =========== | |||
* | |||
* SUBROUTINE CHETRD_HB2ST( STAGE1, VECT, UPLO, N, KD, AB, LDAB, | |||
* SUBROUTINE CHETRD_HB2ST( STAGE1, VECT, UPLO, N, KD, AB, LDAB, | |||
* D, E, HOUS, LHOUS, WORK, LWORK, INFO ) | |||
* | |||
* #if defined(_OPENMP) | |||
@@ -53,12 +53,12 @@ | |||
*> \param[in] STAGE1 | |||
*> \verbatim | |||
*> STAGE1 is CHARACTER*1 | |||
*> = 'N': "No": to mention that the stage 1 of the reduction | |||
*> = 'N': "No": to mention that the stage 1 of the reduction | |||
*> from dense to band using the chetrd_he2hb routine | |||
*> was not called before this routine to reproduce AB. | |||
*> In other term this routine is called as standalone. | |||
*> = 'Y': "Yes": to mention that the stage 1 of the | |||
*> reduction from dense to band using the chetrd_he2hb | |||
*> was not called before this routine to reproduce AB. | |||
*> In other term this routine is called as standalone. | |||
*> = 'Y': "Yes": to mention that the stage 1 of the | |||
*> reduction from dense to band using the chetrd_he2hb | |||
*> routine has been called to produce AB (e.g., AB is | |||
*> the output of chetrd_he2hb. | |||
*> \endverbatim | |||
@@ -66,10 +66,10 @@ | |||
*> \param[in] VECT | |||
*> \verbatim | |||
*> VECT is CHARACTER*1 | |||
*> = 'N': No need for the Housholder representation, | |||
*> = 'N': No need for the Housholder representation, | |||
*> and thus LHOUS is of size max(1, 4*N); | |||
*> = 'V': the Householder representation is needed to | |||
*> either generate or to apply Q later on, | |||
*> = 'V': the Householder representation is needed to | |||
*> either generate or to apply Q later on, | |||
*> then LHOUS is to be queried and computed. | |||
*> (NOT AVAILABLE IN THIS RELEASE). | |||
*> \endverbatim | |||
@@ -147,7 +147,7 @@ | |||
*> message related to LHOUS is issued by XERBLA. | |||
*> LHOUS = MAX(1, dimension) where | |||
*> dimension = 4*N if VECT='N' | |||
*> not available now if VECT='H' | |||
*> not available now if VECT='H' | |||
*> \endverbatim | |||
*> | |||
*> \param[out] WORK | |||
@@ -188,7 +188,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup hetrd_hb2st | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -208,7 +208,7 @@ | |||
*> http://doi.acm.org/10.1145/2063384.2063394 | |||
*> | |||
*> A. Haidar, J. Kurzak, P. Luszczek, 2013. | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> An improved parallel singular value algorithm and its implementation | |||
*> for multicore hardware, In Proceedings of 2013 International Conference | |||
*> for High Performance Computing, Networking, Storage and Analysis (SC '13). | |||
*> Denver, Colorado, USA, 2013. | |||
@@ -216,16 +216,16 @@ | |||
*> http://doi.acm.org/10.1145/2503210.2503292 | |||
*> | |||
*> A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra. | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure | |||
*> calculations based on fine-grained memory aware tasks. | |||
*> International Journal of High Performance Computing Applications. | |||
*> Volume 28 Issue 2, Pages 196-209, May 2014. | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> http://hpc.sagepub.com/content/28/2/196 | |||
*> | |||
*> \endverbatim | |||
*> | |||
* ===================================================================== | |||
SUBROUTINE CHETRD_HB2ST( STAGE1, VECT, UPLO, N, KD, AB, LDAB, | |||
SUBROUTINE CHETRD_HB2ST( STAGE1, VECT, UPLO, N, KD, AB, LDAB, | |||
$ D, E, HOUS, LHOUS, WORK, LWORK, INFO ) | |||
* | |||
* | |||
@@ -259,11 +259,11 @@ | |||
* .. | |||
* .. Local Scalars .. | |||
LOGICAL LQUERY, WANTQ, UPPER, AFTERS1 | |||
INTEGER I, M, K, IB, SWEEPID, MYID, SHIFT, STT, ST, | |||
INTEGER I, M, K, IB, SWEEPID, MYID, SHIFT, STT, ST, | |||
$ ED, STIND, EDIND, BLKLASTIND, COLPT, THED, | |||
$ STEPERCOL, GRSIZ, THGRSIZ, THGRNB, THGRID, | |||
$ NBTILES, TTYPE, TID, NTHREADS, DEBUG, | |||
$ ABDPOS, ABOFDPOS, DPOS, OFDPOS, AWPOS, | |||
$ ABDPOS, ABOFDPOS, DPOS, OFDPOS, AWPOS, | |||
$ INDA, INDW, APOS, SIZEA, LDA, INDV, INDTAU, | |||
$ SICEV, SIZETAU, LDV, LHMIN, LWMIN | |||
REAL ABSTMP | |||
@@ -277,8 +277,9 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV2STAGE | |||
EXTERNAL LSAME, ILAENV2STAGE | |||
INTEGER ILAENV2STAGE | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV2STAGE, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -318,7 +319,7 @@ | |||
* | |||
IF( INFO.EQ.0 ) THEN | |||
HOUS( 1 ) = LHMIN | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -358,7 +359,7 @@ | |||
ABDPOS = KD + 1 | |||
ABOFDPOS = KD | |||
ELSE | |||
APOS = INDA | |||
APOS = INDA | |||
AWPOS = INDA + KD + 1 | |||
DPOS = APOS | |||
OFDPOS = DPOS + 1 | |||
@@ -366,11 +367,11 @@ | |||
ABOFDPOS = 2 | |||
ENDIF | |||
* | |||
* Case KD=0: | |||
* The matrix is diagonal. We just copy it (convert to "real" for | |||
* complex because D is double and the imaginary part should be 0) | |||
* and store it in D. A sequential code here is better or | |||
* | |||
* Case KD=0: | |||
* The matrix is diagonal. We just copy it (convert to "real" for | |||
* complex because D is double and the imaginary part should be 0) | |||
* and store it in D. A sequential code here is better or | |||
* in a parallel environment it might need two cores for D and E | |||
* | |||
IF( KD.EQ.0 ) THEN | |||
@@ -385,17 +386,17 @@ | |||
WORK( 1 ) = 1 | |||
RETURN | |||
END IF | |||
* | |||
* Case KD=1: | |||
* The matrix is already Tridiagonal. We have to make diagonal | |||
* | |||
* Case KD=1: | |||
* The matrix is already Tridiagonal. We have to make diagonal | |||
* and offdiagonal elements real, and store them in D and E. | |||
* For that, for real precision just copy the diag and offdiag | |||
* to D and E while for the COMPLEX case the bulge chasing is | |||
* performed to convert the hermetian tridiagonal to symmetric | |||
* tridiagonal. A simpler conversion formula might be used, but then | |||
* For that, for real precision just copy the diag and offdiag | |||
* to D and E while for the COMPLEX case the bulge chasing is | |||
* performed to convert the hermetian tridiagonal to symmetric | |||
* tridiagonal. A simpler conversion formula might be used, but then | |||
* updating the Q matrix will be required and based if Q is generated | |||
* or not this might complicate the story. | |||
* | |||
* or not this might complicate the story. | |||
* | |||
IF( KD.EQ.1 ) THEN | |||
DO 50 I = 1, N | |||
D( I ) = REAL( AB( ABDPOS, I ) ) | |||
@@ -444,7 +445,7 @@ C END IF | |||
RETURN | |||
END IF | |||
* | |||
* Main code start here. | |||
* Main code start here. | |||
* Reduce the hermitian band of A to a tridiagonal matrix. | |||
* | |||
THGRSIZ = N | |||
@@ -453,7 +454,7 @@ C END IF | |||
NBTILES = CEILING( REAL(N)/REAL(KD) ) | |||
STEPERCOL = CEILING( REAL(SHIFT)/REAL(GRSIZ) ) | |||
THGRNB = CEILING( REAL(N-1)/REAL(THGRSIZ) ) | |||
* | |||
* | |||
CALL CLACPY( "A", KD+1, N, AB, LDAB, WORK( APOS ), LDA ) | |||
CALL CLASET( "A", KD, N, ZERO, ZERO, WORK( AWPOS ), LDA ) | |||
* | |||
@@ -462,7 +463,7 @@ C END IF | |||
* | |||
#if defined(_OPENMP) | |||
!$OMP PARALLEL PRIVATE( TID, THGRID, BLKLASTIND ) | |||
!$OMP$ PRIVATE( THED, I, M, K, ST, ED, STT, SWEEPID ) | |||
!$OMP$ PRIVATE( THED, I, M, K, ST, ED, STT, SWEEPID ) | |||
!$OMP$ PRIVATE( MYID, TTYPE, COLPT, STIND, EDIND ) | |||
!$OMP$ SHARED ( UPLO, WANTQ, INDV, INDTAU, HOUS, WORK) | |||
!$OMP$ SHARED ( N, KD, IB, NBTILES, LDA, LDV, INDA ) | |||
@@ -471,7 +472,7 @@ C END IF | |||
#endif | |||
* | |||
* main bulge chasing loop | |||
* | |||
* | |||
DO 100 THGRID = 1, THGRNB | |||
STT = (THGRID-1)*THGRSIZ+1 | |||
THED = MIN( (STT + THGRSIZ -1), (N-1)) | |||
@@ -482,7 +483,7 @@ C END IF | |||
ST = STT | |||
DO 130 SWEEPID = ST, ED | |||
DO 140 K = 1, GRSIZ | |||
MYID = (I-SWEEPID)*(STEPERCOL*GRSIZ) | |||
MYID = (I-SWEEPID)*(STEPERCOL*GRSIZ) | |||
$ + (M-1)*GRSIZ + K | |||
IF ( MYID.EQ.1 ) THEN | |||
TTYPE = 1 | |||
@@ -508,16 +509,16 @@ C END IF | |||
ENDIF | |||
* | |||
* Call the kernel | |||
* | |||
* | |||
#if defined(_OPENMP) && _OPENMP >= 201307 | |||
IF( TTYPE.NE.1 ) THEN | |||
IF( TTYPE.NE.1 ) THEN | |||
!$OMP TASK DEPEND(in:WORK(MYID+SHIFT-1)) | |||
!$OMP$ DEPEND(in:WORK(MYID-1)) | |||
!$OMP$ DEPEND(out:WORK(MYID)) | |||
TID = OMP_GET_THREAD_NUM() | |||
CALL CHB2ST_KERNELS( UPLO, WANTQ, TTYPE, | |||
CALL CHB2ST_KERNELS( UPLO, WANTQ, TTYPE, | |||
$ STIND, EDIND, SWEEPID, N, KD, IB, | |||
$ WORK ( INDA ), LDA, | |||
$ WORK ( INDA ), LDA, | |||
$ HOUS( INDV ), HOUS( INDTAU ), LDV, | |||
$ WORK( INDW + TID*KD ) ) | |||
!$OMP END TASK | |||
@@ -525,20 +526,20 @@ C END IF | |||
!$OMP TASK DEPEND(in:WORK(MYID+SHIFT-1)) | |||
!$OMP$ DEPEND(out:WORK(MYID)) | |||
TID = OMP_GET_THREAD_NUM() | |||
CALL CHB2ST_KERNELS( UPLO, WANTQ, TTYPE, | |||
CALL CHB2ST_KERNELS( UPLO, WANTQ, TTYPE, | |||
$ STIND, EDIND, SWEEPID, N, KD, IB, | |||
$ WORK ( INDA ), LDA, | |||
$ WORK ( INDA ), LDA, | |||
$ HOUS( INDV ), HOUS( INDTAU ), LDV, | |||
$ WORK( INDW + TID*KD ) ) | |||
!$OMP END TASK | |||
ENDIF | |||
#else | |||
CALL CHB2ST_KERNELS( UPLO, WANTQ, TTYPE, | |||
CALL CHB2ST_KERNELS( UPLO, WANTQ, TTYPE, | |||
$ STIND, EDIND, SWEEPID, N, KD, IB, | |||
$ WORK ( INDA ), LDA, | |||
$ WORK ( INDA ), LDA, | |||
$ HOUS( INDV ), HOUS( INDTAU ), LDV, | |||
$ WORK( INDW ) ) | |||
#endif | |||
#endif | |||
IF ( BLKLASTIND.GE.(N-1) ) THEN | |||
STT = STT + 1 | |||
EXIT | |||
@@ -553,14 +554,14 @@ C END IF | |||
!$OMP END MASTER | |||
!$OMP END PARALLEL | |||
#endif | |||
* | |||
* | |||
* Copy the diagonal from A to D. Note that D is REAL thus only | |||
* the Real part is needed, the imaginary part should be zero. | |||
* | |||
DO 150 I = 1, N | |||
D( I ) = REAL( WORK( DPOS+(I-1)*LDA ) ) | |||
150 CONTINUE | |||
* | |||
* | |||
* Copy the off diagonal from A to E. Note that E is REAL thus only | |||
* the Real part is needed, the imaginary part should be zero. | |||
* | |||
@@ -575,10 +576,10 @@ C END IF | |||
ENDIF | |||
* | |||
HOUS( 1 ) = LHMIN | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RETURN | |||
* | |||
* End of CHETRD_HB2ST | |||
* | |||
END | |||
@@ -158,7 +158,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEcomputational | |||
*> \ingroup hetrd_he2hb | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -283,7 +283,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV2STAGE | |||
EXTERNAL LSAME, ILAENV2STAGE | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV2STAGE, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -313,7 +314,7 @@ | |||
CALL XERBLA( 'CHETRD_HE2HB', -INFO ) | |||
RETURN | |||
ELSE IF( LQUERY ) THEN | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RETURN | |||
END IF | |||
* | |||
@@ -506,7 +507,7 @@ | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RETURN | |||
* | |||
* End of CHETRD_HE2HB | |||
@@ -130,7 +130,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEcomputational | |||
*> \ingroup hetrf | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -197,7 +197,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHETF2, CLAHEF, XERBLA | |||
@@ -228,7 +229,7 @@ | |||
* | |||
NB = ILAENV( 1, 'CHETRF', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = N*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -346,7 +347,7 @@ | |||
END IF | |||
* | |||
40 CONTINUE | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CHETRF | |||
@@ -125,7 +125,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEcomputational | |||
*> \ingroup hetrf_aa | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHETRF_AA( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) | |||
@@ -159,7 +159,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLAHEF_AA, CGEMM, CCOPY, CSWAP, CSCAL, XERBLA | |||
@@ -190,7 +191,7 @@ | |||
* | |||
IF( INFO.EQ.0 ) THEN | |||
LWKOPT = (NB+1)*N | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -459,7 +460,7 @@ | |||
END IF | |||
* | |||
20 CONTINUE | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CHETRF_AA | |||
@@ -229,7 +229,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEcomputational | |||
*> \ingroup hetrf_rk | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -280,7 +280,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLAHEF_RK, CHETF2_RK, CSWAP, XERBLA | |||
@@ -311,7 +312,7 @@ | |||
* | |||
NB = ILAENV( 1, 'CHETRF_RK', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = N*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -487,7 +488,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CHETRF_RK | |||
@@ -150,7 +150,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEcomputational | |||
*> \ingroup hetrf_rook | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -232,7 +232,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLAHEF_ROOK, CHETF2_ROOK, XERBLA | |||
@@ -263,7 +264,7 @@ | |||
* | |||
NB = ILAENV( 1, 'CHETRF_ROOK', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( 1, N*NB ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -386,7 +387,7 @@ | |||
END IF | |||
* | |||
40 CONTINUE | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CHETRF_ROOK | |||
@@ -152,7 +152,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEcomputational | |||
*> \ingroup hetri_3 | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -190,7 +190,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHETRI_3X, XERBLA | |||
@@ -225,7 +226,7 @@ | |||
CALL XERBLA( 'CHETRI_3', -INFO ) | |||
RETURN | |||
ELSE IF( LQUERY ) THEN | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
END IF | |||
* | |||
@@ -236,7 +237,7 @@ | |||
* | |||
CALL CHETRI_3X( UPLO, N, A, LDA, E, IPIV, WORK, NB, INFO ) | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -123,7 +123,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexHEcomputational | |||
*> \ingroup hetrs_aa | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHETRS_AA( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, | |||
@@ -155,7 +155,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME,SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLACPY, CLACGV, CGTSV, CSWAP, CTRSM, XERBLA | |||
@@ -186,7 +187,7 @@ | |||
RETURN | |||
ELSE IF( LQUERY ) THEN | |||
LWKOPT = (3*N-2) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
END IF | |||
* | |||
@@ -186,7 +186,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHEReigen | |||
*> \ingroup hpevd | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CHPEVD( JOBZ, UPLO, N, AP, W, Z, LDZ, WORK, LWORK, | |||
@@ -223,8 +223,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
REAL CLANHP, SLAMCH | |||
EXTERNAL LSAME, CLANHP, SLAMCH | |||
REAL CLANHP, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL LSAME, CLANHP, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHPTRD, CSSCAL, CSTEDC, CUPMTR, SSCAL, SSTERF, | |||
@@ -268,7 +268,7 @@ | |||
LIWMIN = 1 | |||
END IF | |||
END IF | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
@@ -359,7 +359,7 @@ | |||
CALL SSCAL( IMAX, ONE / SIGMA, W, 1 ) | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
RETURN | |||
@@ -212,7 +212,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHEReigen | |||
*> \ingroup hpgvd | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -246,7 +246,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CHPEVD, CHPGST, CPPTRF, CTPMV, CTPSV, XERBLA | |||
@@ -292,7 +293,7 @@ | |||
END IF | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN | |||
@@ -374,7 +375,7 @@ | |||
END IF | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
RETURN | |||
@@ -216,7 +216,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup hseqr | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -343,7 +343,8 @@ | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
LOGICAL LSAME | |||
EXTERNAL ILAENV, LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CCOPY, CLACPY, CLAHQR, CLAQR0, CLASET, XERBLA | |||
@@ -189,6 +189,8 @@ | |||
*> SIAM J. Sci. Comput, vol. 34, no. 1, 2012 | |||
*> \endverbatim | |||
*> | |||
*> \ingroup lamswlq | |||
*> | |||
* ===================================================================== | |||
SUBROUTINE CLAMSWLQ( SIDE, TRANS, M, N, K, MB, NB, A, LDA, T, | |||
$ LDT, C, LDC, WORK, LWORK, INFO ) | |||
@@ -215,7 +217,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. External Subroutines .. | |||
EXTERNAL CTPMLQT, CGEMLQT, XERBLA | |||
* .. | |||
@@ -259,10 +262,10 @@ | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
CALL XERBLA( 'CLAMSWLQ', -INFO ) | |||
WORK(1) = LW | |||
WORK(1) = SROUNDUP_LWORK(LW) | |||
RETURN | |||
ELSE IF (LQUERY) THEN | |||
WORK(1) = LW | |||
WORK(1) = SROUNDUP_LWORK(LW) | |||
RETURN | |||
END IF | |||
* | |||
@@ -401,7 +404,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK(1) = LW | |||
WORK(1) = SROUNDUP_LWORK(LW) | |||
RETURN | |||
* | |||
* End of CLAMSWLQ | |||
@@ -191,6 +191,8 @@ | |||
*> SIAM J. Sci. Comput, vol. 34, no. 1, 2012 | |||
*> \endverbatim | |||
*> | |||
*> \ingroup lamtsqr | |||
*> | |||
* ===================================================================== | |||
SUBROUTINE CLAMTSQR( SIDE, TRANS, M, N, K, MB, NB, A, LDA, T, | |||
$ LDT, C, LDC, WORK, LWORK, INFO ) | |||
@@ -217,7 +219,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. External Subroutines .. | |||
EXTERNAL CGEMQRT, CTPMQRT, XERBLA | |||
* .. | |||
@@ -264,7 +267,7 @@ | |||
* Determine the block size if it is tall skinny or short and wide | |||
* | |||
IF( INFO.EQ.0) THEN | |||
WORK(1) = LW | |||
WORK(1) = SROUNDUP_LWORK(LW) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -409,7 +412,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK(1) = LW | |||
WORK(1) = SROUNDUP_LWORK(LW) | |||
RETURN | |||
* | |||
* End of CLAMTSQR | |||
@@ -159,6 +159,8 @@ | |||
*> SIAM J. Sci. Comput, vol. 34, no. 1, 2012 | |||
*> \endverbatim | |||
*> | |||
*> \ingroup laswlq | |||
*> | |||
* ===================================================================== | |||
SUBROUTINE CLASWLQ( M, N, MB, NB, A, LDA, T, LDT, WORK, LWORK, | |||
$ INFO) | |||
@@ -183,16 +185,14 @@ | |||
* .. | |||
* .. EXTERNAL FUNCTIONS .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
INTEGER ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. EXTERNAL SUBROUTINES .. | |||
EXTERNAL CGELQT, CTPLQT, XERBLA | |||
* .. INTRINSIC FUNCTIONS .. | |||
INTRINSIC MAX, MIN, MOD | |||
* .. | |||
* .. EXTERNAL FUNCTIONS .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
* .. | |||
* .. EXECUTABLE STATEMENTS .. | |||
* | |||
* TEST THE INPUT ARGUMENTS | |||
@@ -217,7 +217,7 @@ | |||
INFO = -10 | |||
END IF | |||
IF( INFO.EQ.0) THEN | |||
WORK(1) = MB*M | |||
WORK(1) = SROUNDUP_LWORK(MB*M) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -266,7 +266,7 @@ | |||
$ WORK, INFO ) | |||
END IF | |||
* | |||
WORK( 1 ) = M * MB | |||
WORK( 1 ) = SROUNDUP_LWORK(M * MB) | |||
RETURN | |||
* | |||
* End of CLASWLQ | |||
@@ -161,6 +161,8 @@ | |||
*> SIAM J. Sci. Comput, vol. 34, no. 1, 2012 | |||
*> \endverbatim | |||
*> | |||
*> \ingroup latsqr | |||
*> | |||
* ===================================================================== | |||
SUBROUTINE CLATSQR( M, N, MB, NB, A, LDA, T, LDT, WORK, | |||
$ LWORK, INFO) | |||
@@ -185,7 +187,8 @@ | |||
* .. | |||
* .. EXTERNAL FUNCTIONS .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. EXTERNAL SUBROUTINES .. | |||
EXTERNAL CGEQRT, CTPQRT, XERBLA | |||
* .. INTRINSIC FUNCTIONS .. | |||
@@ -215,7 +218,7 @@ | |||
INFO = -10 | |||
END IF | |||
IF( INFO.EQ.0) THEN | |||
WORK(1) = NB*N | |||
WORK(1) = SROUNDUP_LWORK(NB*N) | |||
END IF | |||
IF( INFO.NE.0 ) THEN | |||
CALL XERBLA( 'CLATSQR', -INFO ) | |||
@@ -262,7 +265,7 @@ | |||
$ WORK, INFO ) | |||
END IF | |||
* | |||
work( 1 ) = N*NB | |||
WORK( 1 ) = SROUNDUP_LWORK(N*NB) | |||
RETURN | |||
* | |||
* End of CLATSQR | |||
@@ -192,7 +192,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup stedc | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -233,8 +233,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL SLAMCH, SLANST | |||
EXTERNAL ILAENV, LSAME, SLAMCH, SLANST | |||
REAL SLAMCH, SLANST, SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, SLAMCH, SLANST, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CLACPY, CLACRM, CLAED0, CSTEQR, CSWAP, | |||
@@ -295,7 +295,7 @@ | |||
LRWMIN = 1 + 4*N + 2*N**2 | |||
LIWMIN = 3 + 5*N | |||
END IF | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
@@ -466,7 +466,7 @@ | |||
END IF | |||
* | |||
70 CONTINUE | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RWORK( 1 ) = LRWMIN | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
@@ -376,8 +376,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
REAL SLAMCH, SLANST | |||
EXTERNAL LSAME, SLAMCH, SLANST | |||
REAL SLAMCH, SLANST, SROUNDUP_LWORK | |||
EXTERNAL LSAME, SLAMCH, SLANST, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLARRV, CSWAP, SCOPY, SLAE2, SLAEV2, SLARRC, | |||
@@ -462,7 +462,7 @@ | |||
RMAX = MIN( SQRT( BIGNUM ), ONE / SQRT( SQRT( SAFMIN ) ) ) | |||
* | |||
IF( INFO.EQ.0 ) THEN | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
IF( WANTZ .AND. ALLEIG ) THEN | |||
@@ -801,7 +801,7 @@ | |||
ENDIF | |||
* | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
IWORK( 1 ) = LIWMIN | |||
RETURN | |||
* | |||
@@ -163,7 +163,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYsolve | |||
*> \ingroup hesv | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CSYSV( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, | |||
@@ -190,7 +190,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CSYTRF, CSYTRS, CSYTRS2 | |||
@@ -225,7 +226,7 @@ | |||
CALL CSYTRF( UPLO, N, A, LDA, IPIV, WORK, -1, INFO ) | |||
LWKOPT = INT( WORK( 1 ) ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -258,7 +259,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -154,7 +154,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYsolve | |||
*> \ingroup hesv_aa | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CSYSV_AA( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, | |||
@@ -182,7 +182,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV, LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CSYTRF_AA, CSYTRS_AA | |||
@@ -217,7 +218,7 @@ | |||
$ -1, INFO ) | |||
LWKOPT_SYTRS = INT( WORK(1) ) | |||
LWKOPT = MAX( LWKOPT_SYTRF, LWKOPT_SYTRS ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -239,7 +240,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -177,7 +177,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hesv_aa_2stage | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CSYSV_AA_2STAGE( UPLO, N, NRHS, A, LDA, TB, LTB, | |||
@@ -207,7 +207,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CSYTRF_AA_2STAGE, | |||
@@ -267,7 +268,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -205,7 +205,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYsolve | |||
*> \ingroup hesv_rk | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -247,7 +247,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CSYTRF_RK, CSYTRS_3 | |||
@@ -282,7 +283,7 @@ | |||
CALL CSYTRF_RK( UPLO, N, A, LDA, E, IPIV, WORK, -1, INFO ) | |||
LWKOPT = INT( WORK( 1 ) ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -304,7 +305,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -181,7 +181,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYsolve | |||
*> \ingroup hesv_rook | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -223,7 +223,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CSYTRF_ROOK, CSYTRS_ROOK | |||
@@ -258,7 +259,7 @@ | |||
CALL CSYTRF_ROOK( UPLO, N, A, LDA, IPIV, WORK, -1, INFO ) | |||
LWKOPT = INT( WORK( 1 ) ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -281,7 +282,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -276,7 +276,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYsolve | |||
*> \ingroup hesvx | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CSYSVX( FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, | |||
@@ -313,8 +313,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
REAL CLANSY, SLAMCH | |||
EXTERNAL ILAENV, LSAME, CLANSY, SLAMCH | |||
REAL CLANSY, SLAMCH, SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, CLANSY, SLAMCH, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLACPY, CSYCON, CSYRFS, CSYTRF, CSYTRS, XERBLA | |||
@@ -356,7 +356,7 @@ | |||
NB = ILAENV( 1, 'CSYTRF', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( LWKOPT, N*NB ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -405,7 +405,7 @@ | |||
IF( RCOND.LT.SLAMCH( 'Epsilon' ) ) | |||
$ INFO = N + 1 | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -135,7 +135,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hetrf | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -202,7 +202,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLASYF, CSYTF2, XERBLA | |||
@@ -233,7 +234,7 @@ | |||
* | |||
NB = ILAENV( 1, 'CSYTRF', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( 1, N*NB ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -351,7 +352,7 @@ | |||
END IF | |||
* | |||
40 CONTINUE | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CSYTRF | |||
@@ -125,7 +125,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hetrf_aa | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CSYTRF_AA( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) | |||
@@ -159,7 +159,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLASYF_AA, CGEMM, CGEMV, CSCAL, CSWAP, CCOPY, | |||
@@ -191,7 +192,7 @@ | |||
* | |||
IF( INFO.EQ.0 ) THEN | |||
LWKOPT = (NB+1)*N | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -457,7 +458,7 @@ | |||
END IF | |||
* | |||
20 CONTINUE | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CSYTRF_AA | |||
@@ -152,7 +152,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hetrf_aa_2stage | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CSYTRF_AA_2STAGE( UPLO, N, A, LDA, TB, LTB, IPIV, | |||
@@ -188,7 +188,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CCOPY, CGBTRF, CGEMM, CGETRF, CLACPY, | |||
@@ -230,7 +231,7 @@ | |||
TB( 1 ) = (3*NB+1)*N | |||
END IF | |||
IF( WQUERY ) THEN | |||
WORK( 1 ) = N*NB | |||
WORK( 1 ) = SROUNDUP_LWORK(N*NB) | |||
END IF | |||
END IF | |||
IF( TQUERY .OR. WQUERY ) THEN | |||
@@ -229,7 +229,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hetrf_rk | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -280,7 +280,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLASYF_RK, CSYTF2_RK, CSWAP, XERBLA | |||
@@ -311,7 +312,7 @@ | |||
* | |||
NB = ILAENV( 1, 'CSYTRF_RK', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( 1, N*NB ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -487,7 +488,7 @@ | |||
* | |||
END IF | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CSYTRF_RK | |||
@@ -146,7 +146,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hetrf_rook | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -228,7 +228,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLASYF_ROOK, CSYTF2_ROOK, XERBLA | |||
@@ -259,7 +260,7 @@ | |||
* | |||
NB = ILAENV( 1, 'CSYTRF_ROOK', UPLO, N, -1, -1, -1 ) | |||
LWKOPT = MAX( 1, N*NB ) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -382,7 +383,7 @@ | |||
END IF | |||
* | |||
40 CONTINUE | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CSYTRF_ROOK | |||
@@ -152,7 +152,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hetri_3 | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -190,7 +190,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CSYTRI_3X, XERBLA | |||
@@ -225,7 +226,7 @@ | |||
CALL XERBLA( 'CSYTRI_3', -INFO ) | |||
RETURN | |||
ELSE IF( LQUERY ) THEN | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
END IF | |||
* | |||
@@ -236,7 +237,7 @@ | |||
* | |||
CALL CSYTRI_3X( UPLO, N, A, LDA, E, IPIV, WORK, NB, INFO ) | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -123,7 +123,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup hetrs_aa | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CSYTRS_AA( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, | |||
@@ -155,7 +155,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLACPY, CGTSV, CSWAP, CTRSM, XERBLA | |||
@@ -186,7 +187,7 @@ | |||
RETURN | |||
ELSE IF( LQUERY ) THEN | |||
LWKOPT = (3*N-2) | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
END IF | |||
* | |||
@@ -290,7 +290,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup tgsen | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -467,6 +467,10 @@ | |||
* .. Local Arrays .. | |||
INTEGER ISAVE( 3 ) | |||
* .. | |||
* .. External Functions .. | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
REAL SLAMCH | |||
EXTERNAL CLACN2, CLACPY, CLASSQ, CSCAL, CTGEXC, CTGSYL, | |||
@@ -537,7 +541,7 @@ | |||
LIWMIN = 1 | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN | |||
@@ -771,7 +775,7 @@ | |||
* | |||
70 CONTINUE | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
IWORK( 1 ) = LIWMIN | |||
* | |||
RETURN | |||
@@ -213,7 +213,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup tgsna | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -343,12 +343,13 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
REAL SCNRM2, SLAMCH, SLAPY2 | |||
REAL SCNRM2, SLAMCH, SLAPY2, SROUNDUP_LWORK | |||
COMPLEX CDOTC | |||
EXTERNAL LSAME, SCNRM2, SLAMCH, SLAPY2, CDOTC | |||
EXTERNAL LSAME, SCNRM2, SLAMCH, SLAPY2, SROUNDUP_LWORK, | |||
$ CDOTC | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGEMV, CLACPY, CTGEXC, CTGSYL, SLABAD, XERBLA | |||
EXTERNAL CGEMV, CLACPY, CTGEXC, CTGSYL, XERBLA | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC ABS, CMPLX, MAX | |||
@@ -402,7 +403,7 @@ | |||
ELSE | |||
LWMIN = N | |||
END IF | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
IF( MM.LT.M ) THEN | |||
INFO = -15 | |||
@@ -428,7 +429,6 @@ | |||
EPS = SLAMCH( 'P' ) | |||
SMLNUM = SLAMCH( 'S' ) / EPS | |||
BIGNUM = ONE / SMLNUM | |||
CALL SLABAD( SMLNUM, BIGNUM ) | |||
KS = 0 | |||
DO 20 K = 1, N | |||
* | |||
@@ -508,7 +508,7 @@ | |||
END IF | |||
* | |||
20 CONTINUE | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
RETURN | |||
* | |||
* End of CTGSNA | |||
@@ -260,7 +260,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexSYcomputational | |||
*> \ingroup tgsyl | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -329,7 +329,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL LSAME, ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CGEMM, CLACPY, CLASET, CSCAL, CTGSY2, XERBLA | |||
@@ -382,7 +383,7 @@ | |||
ELSE | |||
LWMIN = 1 | |||
END IF | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -20 | |||
@@ -683,7 +684,7 @@ | |||
210 CONTINUE | |||
END IF | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
RETURN | |||
* | |||
@@ -222,7 +222,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup trevc3 | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -278,12 +278,13 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV, ICAMAX | |||
REAL SLAMCH, SCASUM | |||
EXTERNAL LSAME, ILAENV, ICAMAX, SLAMCH, SCASUM | |||
REAL SLAMCH, SCASUM, SROUNDUP_LWORK | |||
EXTERNAL LSAME, ILAENV, ICAMAX, SLAMCH, SCASUM, | |||
$ SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL XERBLA, CCOPY, CLASET, CSSCAL, CGEMM, CGEMV, | |||
$ CLATRS, CLACPY, SLABAD | |||
$ CLATRS, CLACPY | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC ABS, REAL, CMPLX, CONJG, AIMAG, MAX | |||
@@ -322,7 +323,7 @@ | |||
INFO = 0 | |||
NB = ILAENV( 1, 'CTREVC', SIDE // HOWMNY, N, -1, -1, -1 ) | |||
MAXWRK = MAX( 1, N + 2*N*NB ) | |||
WORK(1) = MAXWRK | |||
WORK(1) = SROUNDUP_LWORK(MAXWRK) | |||
RWORK(1) = MAX( 1, N ) | |||
LQUERY = ( LWORK.EQ.-1 .OR. LRWORK.EQ.-1 ) | |||
IF( .NOT.RIGHTV .AND. .NOT.LEFTV ) THEN | |||
@@ -371,7 +372,6 @@ | |||
* | |||
UNFL = SLAMCH( 'Safe minimum' ) | |||
OVFL = ONE / UNFL | |||
CALL SLABAD( UNFL, OVFL ) | |||
ULP = SLAMCH( 'Precision' ) | |||
SMLNUM = UNFL*( N / ULP ) | |||
* | |||
@@ -182,7 +182,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup trsen | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -293,8 +293,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
REAL CLANGE | |||
EXTERNAL LSAME, CLANGE | |||
REAL CLANGE, SROUNDUP_LWORK | |||
EXTERNAL LSAME, CLANGE, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CLACN2, CLACPY, CTREXC, CTRSYL, XERBLA | |||
@@ -350,7 +350,7 @@ | |||
END IF | |||
* | |||
IF( INFO.EQ.0 ) THEN | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -444,7 +444,7 @@ | |||
W( K ) = T( K, K ) | |||
50 CONTINUE | |||
* | |||
WORK( 1 ) = LWMIN | |||
WORK( 1 ) = SROUNDUP_LWORK(LWMIN) | |||
* | |||
RETURN | |||
* | |||
@@ -116,7 +116,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup tzrzf | |||
* | |||
*> \par Contributors: | |||
* ================== | |||
@@ -179,7 +179,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -207,7 +208,7 @@ | |||
LWKOPT = M*NB | |||
LWKMIN = MAX( 1, M ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -7 | |||
@@ -301,7 +302,7 @@ | |||
IF( MU.GT.0 ) | |||
$ CALL CLATRZ( MU, N, N-M, A, LDA, TAU, WORK ) | |||
* | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
RETURN | |||
* | |||
@@ -255,7 +255,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup unbdb | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -320,9 +320,9 @@ | |||
* | |||
* .. | |||
* .. External Functions .. | |||
REAL SCNRM2 | |||
REAL SCNRM2, SROUNDUP_LWORK | |||
LOGICAL LSAME | |||
EXTERNAL SCNRM2, LSAME | |||
EXTERNAL SCNRM2, SROUNDUP_LWORK, LSAME | |||
* .. | |||
* .. Intrinsic Functions | |||
INTRINSIC ATAN2, COS, MAX, MIN, SIN | |||
@@ -377,7 +377,7 @@ | |||
IF( INFO .EQ. 0 ) THEN | |||
LWORKOPT = M - Q | |||
LWORKMIN = M - Q | |||
WORK(1) = LWORKOPT | |||
WORK(1) = SROUNDUP_LWORK(LWORKOPT) | |||
IF( LWORK .LT. LWORKMIN .AND. .NOT. LQUERY ) THEN | |||
INFO = -21 | |||
END IF | |||
@@ -173,7 +173,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup unbdb1 | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -230,8 +230,8 @@ | |||
EXTERNAL CLACGV | |||
* .. | |||
* .. External Functions .. | |||
REAL SCNRM2 | |||
EXTERNAL SCNRM2 | |||
REAL SCNRM2, SROUNDUP_LWORK | |||
EXTERNAL SCNRM2, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Function .. | |||
INTRINSIC ATAN2, COS, MAX, SIN, SQRT | |||
@@ -264,7 +264,7 @@ | |||
LORBDB5 = Q-2 | |||
LWORKOPT = MAX( ILARF+LLARF-1, IORBDB5+LORBDB5-1 ) | |||
LWORKMIN = LWORKOPT | |||
WORK(1) = LWORKOPT | |||
WORK(1) = SROUNDUP_LWORK(LWORKOPT) | |||
IF( LWORK .LT. LWORKMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -14 | |||
END IF | |||
@@ -173,7 +173,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup unbdb2 | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -231,8 +231,8 @@ | |||
$ XERBLA | |||
* .. | |||
* .. External Functions .. | |||
REAL SCNRM2 | |||
EXTERNAL SCNRM2 | |||
REAL SCNRM2, SROUNDUP_LWORK | |||
EXTERNAL SCNRM2, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Function .. | |||
INTRINSIC ATAN2, COS, MAX, SIN, SQRT | |||
@@ -265,7 +265,7 @@ | |||
LORBDB5 = Q-1 | |||
LWORKOPT = MAX( ILARF+LLARF-1, IORBDB5+LORBDB5-1 ) | |||
LWORKMIN = LWORKOPT | |||
WORK(1) = LWORKOPT | |||
WORK(1) = SROUNDUP_LWORK(LWORKOPT) | |||
IF( LWORK .LT. LWORKMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -14 | |||
END IF | |||
@@ -173,7 +173,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup unbdb3 | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -229,8 +229,8 @@ | |||
EXTERNAL CLARF, CLARFGP, CUNBDB5, CSROT, CLACGV, XERBLA | |||
* .. | |||
* .. External Functions .. | |||
REAL SCNRM2 | |||
EXTERNAL SCNRM2 | |||
REAL SCNRM2, SROUNDUP_LWORK | |||
EXTERNAL SCNRM2, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Function .. | |||
INTRINSIC ATAN2, COS, MAX, SIN, SQRT | |||
@@ -263,7 +263,7 @@ | |||
LORBDB5 = Q-1 | |||
LWORKOPT = MAX( ILARF+LLARF-1, IORBDB5+LORBDB5-1 ) | |||
LWORKMIN = LWORKOPT | |||
WORK(1) = LWORKOPT | |||
WORK(1) = SROUNDUP_LWORK(LWORKOPT) | |||
IF( LWORK .LT. LWORKMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -14 | |||
END IF | |||
@@ -183,7 +183,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup unbdb4 | |||
* | |||
*> \par Further Details: | |||
* ===================== | |||
@@ -242,8 +242,8 @@ | |||
$ XERBLA | |||
* .. | |||
* .. External Functions .. | |||
REAL SCNRM2 | |||
EXTERNAL SCNRM2 | |||
REAL SCNRM2, SROUNDUP_LWORK | |||
EXTERNAL SCNRM2, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Function .. | |||
INTRINSIC ATAN2, COS, MAX, SIN, SQRT | |||
@@ -277,7 +277,7 @@ | |||
LWORKOPT = ILARF + LLARF - 1 | |||
LWORKOPT = MAX( LWORKOPT, IORBDB5 + LORBDB5 - 1 ) | |||
LWORKMIN = LWORKOPT | |||
WORK(1) = LWORKOPT | |||
WORK(1) = SROUNDUP_LWORK(LWORKOPT) | |||
IF( LWORK .LT. LWORKMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -14 | |||
END IF | |||
@@ -308,7 +308,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup uncsd | |||
* | |||
* ===================================================================== | |||
RECURSIVE SUBROUTINE CUNCSD( JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, | |||
@@ -365,7 +365,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions | |||
INTRINSIC INT, MAX, MIN | |||
@@ -504,7 +505,8 @@ | |||
$ IORBDB + LORBDBWORKOPT ) - 1 | |||
LWORKMIN = MAX( IORGQR + LORGQRWORKMIN, IORGLQ + LORGLQWORKMIN, | |||
$ IORBDB + LORBDBWORKMIN ) - 1 | |||
WORK(1) = MAX(LWORKOPT,LWORKMIN) | |||
LWORKOPT = MAX(LWORKOPT,LWORKMIN) | |||
WORK(1) = SROUNDUP_LWORK(LWORKOPT) | |||
* | |||
IF( LWORK .LT. LWORKMIN | |||
$ .AND. .NOT. ( LQUERY .OR. LRQUERY ) ) THEN | |||
@@ -247,7 +247,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup uncsd2by1 | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNCSD2BY1( JOBU1, JOBU2, JOBV1T, M, P, Q, X11, LDX11, | |||
@@ -299,7 +299,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Function .. | |||
INTRINSIC INT, MAX, MIN | |||
@@ -508,7 +509,7 @@ | |||
LWORKOPT = MAX( IORBDB+LORBDB-1, | |||
$ IORGQR+LORGQROPT-1, | |||
$ IORGLQ+LORGLQOPT-1 ) | |||
WORK(1) = LWORKOPT | |||
WORK(1) = SROUNDUP_LWORK(LWORKOPT) | |||
IF( LWORK .LT. LWORKMIN .AND. .NOT.LQUERY ) THEN | |||
INFO = -19 | |||
END IF | |||
@@ -150,7 +150,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexGBcomputational | |||
*> \ingroup ungbr | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNGBR( VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) | |||
@@ -180,7 +180,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
EXTERNAL LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CUNGLQ, CUNGQR, XERBLA | |||
@@ -241,7 +242,7 @@ | |||
CALL XERBLA( 'CUNGBR', -INFO ) | |||
RETURN | |||
ELSE IF( LQUERY ) THEN | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
END IF | |||
* | |||
@@ -327,7 +328,7 @@ | |||
END IF | |||
END IF | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CUNGBR | |||
@@ -119,7 +119,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup unghr | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNGHR( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO ) | |||
@@ -151,7 +151,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Intrinsic Functions .. | |||
INTRINSIC MAX, MIN | |||
@@ -178,7 +179,7 @@ | |||
IF( INFO.EQ.0 ) THEN | |||
NB = ILAENV( 1, 'CUNGQR', ' ', NH, NH, NH, -1 ) | |||
LWKOPT = MAX( 1, NH )*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -230,7 +231,7 @@ | |||
CALL CUNGQR( NH, NH, NH, A( ILO+1, ILO+1 ), LDA, TAU( ILO ), | |||
$ WORK, LWORK, IINFO ) | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CUNGHR | |||
@@ -120,7 +120,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup unglq | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) | |||
@@ -155,7 +155,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -164,7 +165,7 @@ | |||
INFO = 0 | |||
NB = ILAENV( 1, 'CUNGLQ', ' ', M, N, K, -1 ) | |||
LWKOPT = MAX( 1, M )*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
LQUERY = ( LWORK.EQ.-1 ) | |||
IF( M.LT.0 ) THEN | |||
INFO = -1 | |||
@@ -278,7 +279,7 @@ | |||
50 CONTINUE | |||
END IF | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CUNGLQ | |||
@@ -121,7 +121,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup ungql | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNGQL( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) | |||
@@ -156,7 +156,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -181,7 +182,7 @@ | |||
NB = ILAENV( 1, 'CUNGQL', ' ', M, N, K, -1 ) | |||
LWKOPT = N*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.MAX( 1, N ) .AND. .NOT.LQUERY ) THEN | |||
INFO = -8 | |||
@@ -121,7 +121,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup ungqr | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNGQR( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) | |||
@@ -156,7 +156,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -165,7 +166,7 @@ | |||
INFO = 0 | |||
NB = ILAENV( 1, 'CUNGQR', ' ', M, N, K, -1 ) | |||
LWKOPT = MAX( 1, N )*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
LQUERY = ( LWORK.EQ.-1 ) | |||
IF( M.LT.0 ) THEN | |||
INFO = -1 | |||
@@ -279,7 +280,7 @@ | |||
50 CONTINUE | |||
END IF | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CUNGQR | |||
@@ -121,7 +121,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup ungrq | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNGRQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) | |||
@@ -156,7 +156,8 @@ | |||
* .. | |||
* .. External Functions .. | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, SROUNDUP_LWORK | |||
* .. | |||
* .. Executable Statements .. | |||
* | |||
@@ -181,7 +182,7 @@ | |||
NB = ILAENV( 1, 'CUNGRQ', ' ', M, N, K, -1 ) | |||
LWKOPT = M*NB | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
* | |||
IF( LWORK.LT.MAX( 1, M ) .AND. .NOT.LQUERY ) THEN | |||
INFO = -8 | |||
@@ -286,7 +287,7 @@ | |||
50 CONTINUE | |||
END IF | |||
* | |||
WORK( 1 ) = IWS | |||
WORK( 1 ) = SROUNDUP_LWORK(IWS) | |||
RETURN | |||
* | |||
* End of CUNGRQ | |||
@@ -116,7 +116,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup ungtr | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNGTR( UPLO, N, A, LDA, TAU, WORK, LWORK, INFO ) | |||
@@ -147,7 +147,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV, LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CUNGQL, CUNGQR, XERBLA | |||
@@ -179,7 +180,7 @@ | |||
NB = ILAENV( 1, 'CUNGQR', ' ', N-1, N-1, N-1, -1 ) | |||
END IF | |||
LWKOPT = MAX( 1, N-1 )*NB | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -245,7 +246,7 @@ | |||
$ LWORK, IINFO ) | |||
END IF | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CUNGTR | |||
@@ -189,7 +189,7 @@ | |||
*> \author Univ. of Colorado Denver | |||
*> \author NAG Ltd. | |||
* | |||
*> \ingroup complexOTHERcomputational | |||
*> \ingroup unmbr | |||
* | |||
* ===================================================================== | |||
SUBROUTINE CUNMBR( VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, | |||
@@ -218,7 +218,8 @@ | |||
* .. External Functions .. | |||
LOGICAL LSAME | |||
INTEGER ILAENV | |||
EXTERNAL ILAENV, LSAME | |||
REAL SROUNDUP_LWORK | |||
EXTERNAL ILAENV, LSAME, SROUNDUP_LWORK | |||
* .. | |||
* .. External Subroutines .. | |||
EXTERNAL CUNMLQ, CUNMQR, XERBLA | |||
@@ -290,7 +291,7 @@ | |||
ELSE | |||
LWKOPT = 1 | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
END IF | |||
* | |||
IF( INFO.NE.0 ) THEN | |||
@@ -367,7 +368,7 @@ | |||
$ TAU, C( I1, I2 ), LDC, WORK, LWORK, IINFO ) | |||
END IF | |||
END IF | |||
WORK( 1 ) = LWKOPT | |||
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT) | |||
RETURN | |||
* | |||
* End of CUNMBR | |||