$ NOSCAL, ROWPIV, RSVEC, TRANSP
* ..
* .. Intrinsic Functions ..
- INTRINSIC DABS, DLOG, DMAX1, DMIN1, DBLE,
- $ MAX0, MIN0, IDNINT, DSIGN, DSQRT
+ INTRINSIC DABS, DLOG, MAX, MIN, DBLE, IDNINT, DSIGN, DSQRT
* ..
* .. External Functions ..
DOUBLE PRECISION DLAMCH, DNRM2
ELSE IF ( RSVEC .AND. ( LDV .LT. N ) ) THEN
INFO = - 14
ELSE IF ( (.NOT.(LSVEC .OR. RSVEC .OR. ERREST).AND.
- & (LWORK .LT. MAX0(7,4*N+1,2*M+N))) .OR.
+ & (LWORK .LT. MAX(7,4*N+1,2*M+N))) .OR.
& (.NOT.(LSVEC .OR. RSVEC) .AND. ERREST .AND.
- & (LWORK .LT. MAX0(7,4*N+N*N,2*M+N))) .OR.
- & (LSVEC .AND. (.NOT.RSVEC) .AND. (LWORK .LT. MAX0(7,2*M+N,4*N+1)))
+ & (LWORK .LT. MAX(7,4*N+N*N,2*M+N))) .OR.
+ & (LSVEC .AND. (.NOT.RSVEC) .AND. (LWORK .LT. MAX(7,2*M+N,4*N+1)))
& .OR.
- & (RSVEC .AND. (.NOT.LSVEC) .AND. (LWORK .LT. MAX0(7,2*M+N,4*N+1)))
+ & (RSVEC .AND. (.NOT.LSVEC) .AND. (LWORK .LT. MAX(7,2*M+N,4*N+1)))
& .OR.
& (LSVEC .AND. RSVEC .AND. (.NOT.JRACC) .AND.
- & (LWORK.LT.MAX0(2*M+N,6*N+2*N*N)))
+ & (LWORK.LT.MAX(2*M+N,6*N+2*N*N)))
& .OR. (LSVEC .AND. RSVEC .AND. JRACC .AND.
- & LWORK.LT.MAX0(2*M+N,4*N+N*N,2*N+N*N+6)))
+ & LWORK.LT.MAX(2*M+N,4*N+N*N,2*N+N*N+6)))
& THEN
INFO = - 17
ELSE
AAPP = ZERO
AAQQ = BIG
DO 4781 p = 1, N
- AAPP = DMAX1( AAPP, SVA(p) )
- IF ( SVA(p) .NE. ZERO ) AAQQ = DMIN1( AAQQ, SVA(p) )
+ AAPP = MAX( AAPP, SVA(p) )
+ IF ( SVA(p) .NE. ZERO ) AAQQ = MIN( AAQQ, SVA(p) )
4781 CONTINUE
*
* Quick return for zero M x N matrix
* in one pass through the vector
WORK(M+N+p) = XSC * SCALEM
WORK(N+p) = XSC * (SCALEM*DSQRT(TEMP1))
- AATMAX = DMAX1( AATMAX, WORK(N+p) )
- IF (WORK(N+p) .NE. ZERO) AATMIN = DMIN1(AATMIN,WORK(N+p))
+ AATMAX = MAX( AATMAX, WORK(N+p) )
+ IF (WORK(N+p) .NE. ZERO) AATMIN = MIN(AATMIN,WORK(N+p))
1950 CONTINUE
ELSE
DO 1904 p = 1, M
WORK(M+N+p) = SCALEM*DABS( A(p,IDAMAX(N,A(p,1),LDA)) )
- AATMAX = DMAX1( AATMAX, WORK(M+N+p) )
- AATMIN = DMIN1( AATMIN, WORK(M+N+p) )
+ AATMAX = MAX( AATMAX, WORK(M+N+p) )
+ AATMIN = MIN( AATMIN, WORK(M+N+p) )
1904 CONTINUE
END IF
*
MAXPRJ = ONE
DO 3051 p = 2, N
TEMP1 = DABS(A(p,p)) / SVA(IWORK(p))
- MAXPRJ = DMIN1( MAXPRJ, TEMP1 )
+ MAXPRJ = MIN( MAXPRJ, TEMP1 )
3051 CONTINUE
IF ( MAXPRJ**2 .GE. ONE - DBLE(N)*EPSLN ) ALMORT = .TRUE.
END IF
* Singular Values only
*
* .. transpose A(1:NR,1:N)
- DO 1946 p = 1, MIN0( N-1, NR )
+ DO 1946 p = 1, MIN( N-1, NR )
CALL DCOPY( N-p, A(p,p+1), LDA, A(p+1,p), 1 )
1946 CONTINUE
*
XSC = DSQRT(SMALL)/EPSLN
DO 3959 p = 2, NR
DO 3958 q = 1, p - 1
- TEMP1 = XSC * DMIN1(DABS(V(p,p)),DABS(V(q,q)))
+ TEMP1 = XSC * MIN(DABS(V(p,p)),DABS(V(q,q)))
IF ( DABS(V(q,p)) .LE. TEMP1 )
$ V(q,p) = DSIGN( TEMP1, V(q,p) )
3958 CONTINUE
XSC = DSQRT(SMALL)
DO 3969 p = 2, NR
DO 3968 q = 1, p - 1
- TEMP1 = XSC * DMIN1(DABS(V(p,p)),DABS(V(q,q)))
+ TEMP1 = XSC * MIN(DABS(V(p,p)),DABS(V(q,q)))
IF ( DABS(V(q,p)) .LE. TEMP1 )
$ V(q,p) = DSIGN( TEMP1, V(q,p) )
3968 CONTINUE
XSC = DSQRT(SMALL)
DO 8970 p = 2, NR
DO 8971 q = 1, p - 1
- TEMP1 = XSC * DMIN1(DABS(V(p,p)),DABS(V(q,q)))
+ TEMP1 = XSC * MIN(DABS(V(p,p)),DABS(V(q,q)))
V(p,q) = - DSIGN( TEMP1, V(q,p) )
8971 CONTINUE
8970 CONTINUE
XSC = DSQRT(SMALL/EPSLN)
DO 9970 q = 2, NR
DO 9971 p = 1, q - 1
- TEMP1 = XSC * DMIN1(DABS(U(p,p)),DABS(U(q,q)))
+ TEMP1 = XSC * MIN(DABS(U(p,p)),DABS(U(q,q)))
U(p,q) = - DSIGN( TEMP1, U(q,p) )
9971 CONTINUE
9970 CONTINUE
DOUBLE PRECISION FASTR( 5 )
* ..
* .. Intrinsic Functions ..
- INTRINSIC DABS, DMAX1, DMIN1, DBLE, MIN0, DSIGN, DSQRT
+ INTRINSIC DABS, MAX, MIN, DBLE, DSIGN, DSQRT
* ..
* .. External Functions ..
* ..
INFO = -11
ELSE IF( UCTOL .AND. ( WORK( 1 ).LE.ONE ) ) THEN
INFO = -12
- ELSE IF( LWORK.LT.MAX0( M+N, 6 ) ) THEN
+ ELSE IF( LWORK.LT.MAX( M+N, 6 ) ) THEN
INFO = -13
ELSE
INFO = 0
AAPP = ZERO
AAQQ = BIG
DO 4781 p = 1, N
- IF( SVA( p ).NE.ZERO )AAQQ = DMIN1( AAQQ, SVA( p ) )
- AAPP = DMAX1( AAPP, SVA( p ) )
+ IF( SVA( p ).NE.ZERO )AAQQ = MIN( AAQQ, SVA( p ) )
+ AAPP = MAX( AAPP, SVA( p ) )
4781 CONTINUE
*
* #:) Quick return for zero matrix
TEMP1 = DSQRT( BIG / DBLE( N ) )
IF( ( AAPP.LE.SN ) .OR. ( AAQQ.GE.TEMP1 ) .OR.
$ ( ( SN.LE.AAQQ ) .AND. ( AAPP.LE.TEMP1 ) ) ) THEN
- TEMP1 = DMIN1( BIG, TEMP1 / AAPP )
+ TEMP1 = MIN( BIG, TEMP1 / AAPP )
* AAQQ = AAQQ*TEMP1
* AAPP = AAPP*TEMP1
ELSE IF( ( AAQQ.LE.SN ) .AND. ( AAPP.LE.TEMP1 ) ) THEN
- TEMP1 = DMIN1( SN / AAQQ, BIG / ( AAPP*DSQRT( DBLE( N ) ) ) )
+ TEMP1 = MIN( SN / AAQQ, BIG / ( AAPP*DSQRT( DBLE( N ) ) ) )
* AAQQ = AAQQ*TEMP1
* AAPP = AAPP*TEMP1
ELSE IF( ( AAQQ.GE.SN ) .AND. ( AAPP.GE.TEMP1 ) ) THEN
- TEMP1 = DMAX1( SN / AAQQ, TEMP1 / AAPP )
+ TEMP1 = MAX( SN / AAQQ, TEMP1 / AAPP )
* AAQQ = AAQQ*TEMP1
* AAPP = AAPP*TEMP1
ELSE IF( ( AAQQ.LE.SN ) .AND. ( AAPP.GE.TEMP1 ) ) THEN
- TEMP1 = DMIN1( SN / AAQQ, BIG / ( DSQRT( DBLE( N ) )*AAPP ) )
+ TEMP1 = MIN( SN / AAQQ, BIG / ( DSQRT( DBLE( N ) )*AAPP ) )
* AAQQ = AAQQ*TEMP1
* AAPP = AAPP*TEMP1
ELSE
* The boundaries are determined dynamically, based on the number of
* pivots above a threshold.
*
- KBL = MIN0( 8, N )
+ KBL = MIN( 8, N )
*[TP] KBL is a tuning parameter that defines the tile size in the
* tiling of the p-q loops of pivot pairs. In general, an optimal
* value of KBL depends on the matrix dimensions and on the
BLSKIP = KBL**2
*[TP] BLKSKIP is a tuning parameter that depends on SWBAND and KBL.
*
- ROWSKIP = MIN0( 5, KBL )
+ ROWSKIP = MIN( 5, KBL )
*[TP] ROWSKIP is a tuning parameter.
*
LKAHEAD = 1
* invokes cubic convergence. Big part of this cycle is done inside
* canonical subspaces of dimensions less than M.
*
- IF( ( LOWER .OR. UPPER ) .AND. ( N.GT.MAX0( 64, 4*KBL ) ) ) THEN
+ IF( ( LOWER .OR. UPPER ) .AND. ( N.GT.MAX( 64, 4*KBL ) ) ) THEN
*[TP] The number of partition levels and the actual partition are
* tuning parameters.
N4 = N / 4
*
igl = ( ibr-1 )*KBL + 1
*
- DO 1002 ir1 = 0, MIN0( LKAHEAD, NBL-ibr )
+ DO 1002 ir1 = 0, MIN( LKAHEAD, NBL-ibr )
*
igl = igl + ir1*KBL
*
- DO 2001 p = igl, MIN0( igl+KBL-1, N-1 )
+ DO 2001 p = igl, MIN( igl+KBL-1, N-1 )
*
* .. de Rijk's pivoting
*
*
PSKIPPED = 0
*
- DO 2002 q = p + 1, MIN0( igl+KBL-1, N )
+ DO 2002 q = p + 1, MIN( igl+KBL-1, N )
*
AAQQ = SVA( q )
*
END IF
END IF
*
- MXAAPQ = DMAX1( MXAAPQ, DABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, DABS( AAPQ ) )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, DABS( T ) )
+ MXSINJ = MAX( MXSINJ, DABS( T ) )
*
ELSE
*
CS = DSQRT( ONE / ( ONE+T*T ) )
SN = T*CS
*
- MXSINJ = DMAX1( MXSINJ, DABS( SN ) )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, DABS( SN ) )
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
*
APOAQ = WORK( p ) / WORK( q )
$ A( 1, q ), 1 )
CALL DLASCL( 'G', 0, 0, ONE, AAQQ, M,
$ 1, A( 1, q ), LDA, IERR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
* END IF ROTOK THEN ... ELSE
*
ELSE
SVA( p ) = AAPP
IF( ( ir1.EQ.0 ) .AND. ( AAPP.EQ.ZERO ) )
- $ NOTROT = NOTROT + MIN0( igl+KBL-1, N ) - p
+ $ NOTROT = NOTROT + MIN( igl+KBL-1, N ) - p
END IF
*
2001 CONTINUE
* doing the block at ( ibr, jbc )
*
IJBLSK = 0
- DO 2100 p = igl, MIN0( igl+KBL-1, N )
+ DO 2100 p = igl, MIN( igl+KBL-1, N )
*
AAPP = SVA( p )
IF( AAPP.GT.ZERO ) THEN
*
PSKIPPED = 0
*
- DO 2200 q = jgl, MIN0( jgl+KBL-1, N )
+ DO 2200 q = jgl, MIN( jgl+KBL-1, N )
*
AAQQ = SVA( q )
IF( AAQQ.GT.ZERO ) THEN
END IF
END IF
*
- MXAAPQ = DMAX1( MXAAPQ, DABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, DABS( AAPQ ) )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, DABS( T ) )
+ MXSINJ = MAX( MXSINJ, DABS( T ) )
ELSE
*
* .. choose correct signum for THETA and rotate
$ DSQRT( ONE+THETA*THETA ) )
CS = DSQRT( ONE / ( ONE+T*T ) )
SN = T*CS
- MXSINJ = DMAX1( MXSINJ, DABS( SN ) )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, DABS( SN ) )
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
*
APOAQ = WORK( p ) / WORK( q )
CALL DLASCL( 'G', 0, 0, ONE, AAQQ,
$ M, 1, A( 1, q ), LDA,
$ IERR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
ELSE
CALL DCOPY( M, A( 1, q ), 1,
$ WORK( N+1 ), 1 )
CALL DLASCL( 'G', 0, 0, ONE, AAPP,
$ M, 1, A( 1, p ), LDA,
$ IERR )
- SVA( p ) = AAPP*DSQRT( DMAX1( ZERO,
+ SVA( p ) = AAPP*DSQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
END IF
* END IF ROTOK THEN ... ELSE
ELSE
*
IF( AAPP.EQ.ZERO )NOTROT = NOTROT +
- $ MIN0( jgl+KBL-1, N ) - jgl + 1
+ $ MIN( jgl+KBL-1, N ) - jgl + 1
IF( AAPP.LT.ZERO )NOTROT = 0
*
END IF
* end of the jbc-loop
2011 CONTINUE
*2011 bailed out of the jbc-loop
- DO 2012 p = igl, MIN0( igl+KBL-1, N )
+ DO 2012 p = igl, MIN( igl+KBL-1, N )
SVA( p ) = DABS( SVA( p ) )
2012 CONTINUE
***
DOUBLE PRECISION FASTR( 5 )
* ..
* .. Intrinsic Functions ..
- INTRINSIC DABS, DMAX1, DBLE, MIN0, DSIGN, DSQRT
+ INTRINSIC DABS, MAX, DBLE, MIN, DSIGN, DSQRT
* ..
* .. External Functions ..
DOUBLE PRECISION DDOT, DNRM2
* Jacobi SVD algorithm SGESVJ. For sweeps i=1:SWBAND the procedure
* ......
- KBL = MIN0( 8, N )
+ KBL = MIN( 8, N )
*[TP] KBL is a tuning parameter that defines the tile size in the
* tiling of the p-q loops of pivot pairs. In general, an optimal
* value of KBL depends on the matrix dimensions and on the
BLSKIP = ( KBL**2 ) + 1
*[TP] BLKSKIP is a tuning parameter that depends on SWBAND and KBL.
- ROWSKIP = MIN0( 5, KBL )
+ ROWSKIP = MIN( 5, KBL )
*[TP] ROWSKIP is a tuning parameter.
LKAHEAD = 1
igl = ( ibr-1 )*KBL + 1
*
- DO 1002 ir1 = 0, MIN0( LKAHEAD, NBL-ibr )
+ DO 1002 ir1 = 0, MIN( LKAHEAD, NBL-ibr )
*
igl = igl + ir1*KBL
*
- DO 2001 p = igl, MIN0( igl+KBL-1, N-1 )
+ DO 2001 p = igl, MIN( igl+KBL-1, N-1 )
* .. de Rijk's pivoting
q = IDAMAX( N-p+1, SVA( p ), 1 ) + p - 1
*
PSKIPPED = 0
*
- DO 2002 q = p + 1, MIN0( igl+KBL-1, N )
+ DO 2002 q = p + 1, MIN( igl+KBL-1, N )
*
AAQQ = SVA( q )
END IF
END IF
*
- MXAAPQ = DMAX1( MXAAPQ, DABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, DABS( AAPQ ) )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, DABS( T ) )
+ MXSINJ = MAX( MXSINJ, DABS( T ) )
*
ELSE
*
CS = DSQRT( ONE / ( ONE+T*T ) )
SN = T*CS
*
- MXSINJ = DMAX1( MXSINJ, DABS( SN ) )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, DABS( SN ) )
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
*
APOAQ = D( p ) / D( q )
$ A( 1, q ), 1 )
CALL DLASCL( 'G', 0, 0, ONE, AAQQ, M,
$ 1, A( 1, q ), LDA, IERR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
* END IF ROTOK THEN ... ELSE
*
ELSE
SVA( p ) = AAPP
IF( ( ir1.EQ.0 ) .AND. ( AAPP.EQ.ZERO ) )
- $ NOTROT = NOTROT + MIN0( igl+KBL-1, N ) - p
+ $ NOTROT = NOTROT + MIN( igl+KBL-1, N ) - p
END IF
*
2001 CONTINUE
* doing the block at ( ibr, jbc )
*
IJBLSK = 0
- DO 2100 p = igl, MIN0( igl+KBL-1, N )
+ DO 2100 p = igl, MIN( igl+KBL-1, N )
*
AAPP = SVA( p )
*
*
PSKIPPED = 0
*
- DO 2200 q = jgl, MIN0( jgl+KBL-1, N )
+ DO 2200 q = jgl, MIN( jgl+KBL-1, N )
*
AAQQ = SVA( q )
*
END IF
END IF
*
- MXAAPQ = DMAX1( MXAAPQ, DABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, DABS( AAPQ ) )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, DABS( T ) )
+ MXSINJ = MAX( MXSINJ, DABS( T ) )
ELSE
*
* .. choose correct signum for THETA and rotate
$ DSQRT( ONE+THETA*THETA ) )
CS = DSQRT( ONE / ( ONE+T*T ) )
SN = T*CS
- MXSINJ = DMAX1( MXSINJ, DABS( SN ) )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, DABS( SN ) )
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
*
APOAQ = D( p ) / D( q )
CALL DLASCL( 'G', 0, 0, ONE, AAQQ,
$ M, 1, A( 1, q ), LDA,
$ IERR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
ELSE
CALL DCOPY( M, A( 1, q ), 1, WORK,
$ 1 )
CALL DLASCL( 'G', 0, 0, ONE, AAPP,
$ M, 1, A( 1, p ), LDA,
$ IERR )
- SVA( p ) = AAPP*DSQRT( DMAX1( ZERO,
+ SVA( p ) = AAPP*DSQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
END IF
* END IF ROTOK THEN ... ELSE
*
ELSE
IF( AAPP.EQ.ZERO )NOTROT = NOTROT +
- $ MIN0( jgl+KBL-1, N ) - jgl + 1
+ $ MIN( jgl+KBL-1, N ) - jgl + 1
IF( AAPP.LT.ZERO )NOTROT = 0
END IF
* end of the jbc-loop
2011 CONTINUE
*2011 bailed out of the jbc-loop
- DO 2012 p = igl, MIN0( igl+KBL-1, N )
+ DO 2012 p = igl, MIN( igl+KBL-1, N )
SVA( p ) = DABS( SVA( p ) )
2012 CONTINUE
*
DOUBLE PRECISION FASTR( 5 )
* ..
* .. Intrinsic Functions ..
- INTRINSIC DABS, DMAX1, DBLE, MIN0, DSIGN, DSQRT
+ INTRINSIC DABS, MAX, DBLE, MIN, DSIGN, DSQRT
* ..
* .. External Functions ..
DOUBLE PRECISION DDOT, DNRM2
*
* .. Row-cyclic pivot strategy with de Rijk's pivoting ..
*
- KBL = MIN0( 8, N )
+ KBL = MIN( 8, N )
NBLR = N1 / KBL
IF( ( NBLR*KBL ).NE.N1 )NBLR = NBLR + 1
BLSKIP = ( KBL**2 ) + 1
*[TP] BLKSKIP is a tuning parameter that depends on SWBAND and KBL.
- ROWSKIP = MIN0( 5, KBL )
+ ROWSKIP = MIN( 5, KBL )
*[TP] ROWSKIP is a tuning parameter.
SWBAND = 0
*[TP] SWBAND is a tuning parameter. It is meaningful and effective
* doing the block at ( ibr, jbc )
IJBLSK = 0
- DO 2100 p = igl, MIN0( igl+KBL-1, N1 )
+ DO 2100 p = igl, MIN( igl+KBL-1, N1 )
AAPP = SVA( p )
PSKIPPED = 0
- DO 2200 q = jgl, MIN0( jgl+KBL-1, N )
+ DO 2200 q = jgl, MIN( jgl+KBL-1, N )
*
AAQQ = SVA( q )
END IF
END IF
- MXAAPQ = DMAX1( MXAAPQ, DABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, DABS( AAPQ ) )
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, DABS( T ) )
+ MXSINJ = MAX( MXSINJ, DABS( T ) )
ELSE
*
* .. choose correct signum for THETA and rotate
$ DSQRT( ONE+THETA*THETA ) )
CS = DSQRT( ONE / ( ONE+T*T ) )
SN = T*CS
- MXSINJ = DMAX1( MXSINJ, DABS( SN ) )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, DABS( SN ) )
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*DSQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
APOAQ = D( p ) / D( q )
CALL DLASCL( 'G', 0, 0, ONE, AAQQ,
$ M, 1, A( 1, q ), LDA,
$ IERR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*DSQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
ELSE
CALL DCOPY( M, A( 1, q ), 1, WORK,
$ 1 )
CALL DLASCL( 'G', 0, 0, ONE, AAPP,
$ M, 1, A( 1, p ), LDA,
$ IERR )
- SVA( p ) = AAPP*DSQRT( DMAX1( ZERO,
+ SVA( p ) = AAPP*DSQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
END IF
* END IF ROTOK THEN ... ELSE
*
ELSE
IF( AAPP.EQ.ZERO )NOTROT = NOTROT +
- $ MIN0( jgl+KBL-1, N ) - jgl + 1
+ $ MIN( jgl+KBL-1, N ) - jgl + 1
IF( AAPP.LT.ZERO )NOTROT = 0
*** IF ( NOTROT .GE. EMPTSW ) GO TO 2011
END IF
* end of the jbc-loop
2011 CONTINUE
*2011 bailed out of the jbc-loop
- DO 2012 p = igl, MIN0( igl+KBL-1, N )
+ DO 2012 p = igl, MIN( igl+KBL-1, N )
SVA( p ) = DABS( SVA( p ) )
2012 CONTINUE
*** IF ( NOTROT .GE. EMPTSW ) GO TO 1994
$ NOSCAL, ROWPIV, RSVEC, TRANSP
* ..
* .. Intrinsic Functions ..
- INTRINSIC ABS, ALOG, AMAX1, AMIN1, FLOAT,
- $ MAX0, MIN0, NINT, SIGN, SQRT
+ INTRINSIC ABS, ALOG, MAX, MIN, FLOAT, NINT, SIGN, SQRT
* ..
* .. External Functions ..
REAL SLAMCH, SNRM2
ELSE IF ( RSVEC .AND. ( LDV .LT. N ) ) THEN
INFO = - 14
ELSE IF ( (.NOT.(LSVEC .OR. RSVEC .OR. ERREST).AND.
- $ (LWORK .LT. MAX0(7,4*N+1,2*M+N))) .OR.
+ $ (LWORK .LT. MAX(7,4*N+1,2*M+N))) .OR.
$ (.NOT.(LSVEC .OR. RSVEC) .AND. ERREST .AND.
- $ (LWORK .LT. MAX0(7,4*N+N*N,2*M+N))) .OR.
- $ (LSVEC .AND. (.NOT.RSVEC) .AND. (LWORK .LT. MAX0(7,2*M+N,4*N+1)))
+ $ (LWORK .LT. MAX(7,4*N+N*N,2*M+N))) .OR.
+ $ (LSVEC .AND. (.NOT.RSVEC) .AND. (LWORK .LT. MAX(7,2*M+N,4*N+1)))
$ .OR.
- $ (RSVEC .AND. (.NOT.LSVEC) .AND. (LWORK .LT. MAX0(7,2*M+N,4*N+1)))
+ $ (RSVEC .AND. (.NOT.LSVEC) .AND. (LWORK .LT. MAX(7,2*M+N,4*N+1)))
$ .OR.
$ (LSVEC .AND. RSVEC .AND. (.NOT.JRACC) .AND.
- $ (LWORK.LT.MAX0(2*M+N,6*N+2*N*N)))
+ $ (LWORK.LT.MAX(2*M+N,6*N+2*N*N)))
$ .OR. (LSVEC .AND. RSVEC .AND. JRACC .AND.
- $ LWORK.LT.MAX0(2*M+N,4*N+N*N,2*N+N*N+6)))
+ $ LWORK.LT.MAX(2*M+N,4*N+N*N,2*N+N*N+6)))
$ THEN
INFO = - 17
ELSE
AAPP = ZERO
AAQQ = BIG
DO 4781 p = 1, N
- AAPP = AMAX1( AAPP, SVA(p) )
- IF ( SVA(p) .NE. ZERO ) AAQQ = AMIN1( AAQQ, SVA(p) )
+ AAPP = MAX( AAPP, SVA(p) )
+ IF ( SVA(p) .NE. ZERO ) AAQQ = MIN( AAQQ, SVA(p) )
4781 CONTINUE
*
* Quick return for zero M x N matrix
* in one pass through the vector
WORK(M+N+p) = XSC * SCALEM
WORK(N+p) = XSC * (SCALEM*SQRT(TEMP1))
- AATMAX = AMAX1( AATMAX, WORK(N+p) )
- IF (WORK(N+p) .NE. ZERO) AATMIN = AMIN1(AATMIN,WORK(N+p))
+ AATMAX = MAX( AATMAX, WORK(N+p) )
+ IF (WORK(N+p) .NE. ZERO) AATMIN = MIN(AATMIN,WORK(N+p))
1950 CONTINUE
ELSE
DO 1904 p = 1, M
WORK(M+N+p) = SCALEM*ABS( A(p,ISAMAX(N,A(p,1),LDA)) )
- AATMAX = AMAX1( AATMAX, WORK(M+N+p) )
- AATMIN = AMIN1( AATMIN, WORK(M+N+p) )
+ AATMAX = MAX( AATMAX, WORK(M+N+p) )
+ AATMIN = MIN( AATMIN, WORK(M+N+p) )
1904 CONTINUE
END IF
*
MAXPRJ = ONE
DO 3051 p = 2, N
TEMP1 = ABS(A(p,p)) / SVA(IWORK(p))
- MAXPRJ = AMIN1( MAXPRJ, TEMP1 )
+ MAXPRJ = MIN( MAXPRJ, TEMP1 )
3051 CONTINUE
IF ( MAXPRJ**2 .GE. ONE - FLOAT(N)*EPSLN ) ALMORT = .TRUE.
END IF
* Singular Values only
*
* .. transpose A(1:NR,1:N)
- DO 1946 p = 1, MIN0( N-1, NR )
+ DO 1946 p = 1, MIN( N-1, NR )
CALL SCOPY( N-p, A(p,p+1), LDA, A(p+1,p), 1 )
1946 CONTINUE
*
XSC = SQRT(SMALL)/EPSLN
DO 3959 p = 2, NR
DO 3958 q = 1, p - 1
- TEMP1 = XSC * AMIN1(ABS(V(p,p)),ABS(V(q,q)))
+ TEMP1 = XSC * MIN(ABS(V(p,p)),ABS(V(q,q)))
IF ( ABS(V(q,p)) .LE. TEMP1 )
$ V(q,p) = SIGN( TEMP1, V(q,p) )
3958 CONTINUE
XSC = SQRT(SMALL)
DO 3969 p = 2, NR
DO 3968 q = 1, p - 1
- TEMP1 = XSC * AMIN1(ABS(V(p,p)),ABS(V(q,q)))
+ TEMP1 = XSC * MIN(ABS(V(p,p)),ABS(V(q,q)))
IF ( ABS(V(q,p)) .LE. TEMP1 )
$ V(q,p) = SIGN( TEMP1, V(q,p) )
3968 CONTINUE
XSC = SQRT(SMALL)
DO 8970 p = 2, NR
DO 8971 q = 1, p - 1
- TEMP1 = XSC * AMIN1(ABS(V(p,p)),ABS(V(q,q)))
+ TEMP1 = XSC * MIN(ABS(V(p,p)),ABS(V(q,q)))
V(p,q) = - SIGN( TEMP1, V(q,p) )
8971 CONTINUE
8970 CONTINUE
XSC = SQRT(SMALL/EPSLN)
DO 9970 q = 2, NR
DO 9971 p = 1, q - 1
- TEMP1 = XSC * AMIN1(ABS(U(p,p)),ABS(U(q,q)))
+ TEMP1 = XSC * MIN(ABS(U(p,p)),ABS(U(q,q)))
U(p,q) = - SIGN( TEMP1, U(q,p) )
9971 CONTINUE
9970 CONTINUE
REAL FASTR( 5 )
* ..
* .. Intrinsic Functions ..
- INTRINSIC ABS, AMAX1, AMIN1, FLOAT, MIN0, SIGN, SQRT
+ INTRINSIC ABS, MAX, MIN, FLOAT, SIGN, SQRT
* ..
* .. External Functions ..
* ..
INFO = -11
ELSE IF( UCTOL .AND. ( WORK( 1 ).LE.ONE ) ) THEN
INFO = -12
- ELSE IF( LWORK.LT.MAX0( M+N, 6 ) ) THEN
+ ELSE IF( LWORK.LT.MAX( M+N, 6 ) ) THEN
INFO = -13
ELSE
INFO = 0
AAPP = ZERO
AAQQ = BIG
DO 4781 p = 1, N
- IF( SVA( p ).NE.ZERO )AAQQ = AMIN1( AAQQ, SVA( p ) )
- AAPP = AMAX1( AAPP, SVA( p ) )
+ IF( SVA( p ).NE.ZERO )AAQQ = MIN( AAQQ, SVA( p ) )
+ AAPP = MAX( AAPP, SVA( p ) )
4781 CONTINUE
*
* #:) Quick return for zero matrix
TEMP1 = SQRT( BIG / FLOAT( N ) )
IF( ( AAPP.LE.SN ) .OR. ( AAQQ.GE.TEMP1 ) .OR.
$ ( ( SN.LE.AAQQ ) .AND. ( AAPP.LE.TEMP1 ) ) ) THEN
- TEMP1 = AMIN1( BIG, TEMP1 / AAPP )
+ TEMP1 = MIN( BIG, TEMP1 / AAPP )
* AAQQ = AAQQ*TEMP1
* AAPP = AAPP*TEMP1
ELSE IF( ( AAQQ.LE.SN ) .AND. ( AAPP.LE.TEMP1 ) ) THEN
- TEMP1 = AMIN1( SN / AAQQ, BIG / ( AAPP*SQRT( FLOAT( N ) ) ) )
+ TEMP1 = MIN( SN / AAQQ, BIG / ( AAPP*SQRT( FLOAT( N ) ) ) )
* AAQQ = AAQQ*TEMP1
* AAPP = AAPP*TEMP1
ELSE IF( ( AAQQ.GE.SN ) .AND. ( AAPP.GE.TEMP1 ) ) THEN
- TEMP1 = AMAX1( SN / AAQQ, TEMP1 / AAPP )
+ TEMP1 = MAX( SN / AAQQ, TEMP1 / AAPP )
* AAQQ = AAQQ*TEMP1
* AAPP = AAPP*TEMP1
ELSE IF( ( AAQQ.LE.SN ) .AND. ( AAPP.GE.TEMP1 ) ) THEN
- TEMP1 = AMIN1( SN / AAQQ, BIG / ( SQRT( FLOAT( N ) )*AAPP ) )
+ TEMP1 = MIN( SN / AAQQ, BIG / ( SQRT( FLOAT( N ) )*AAPP ) )
* AAQQ = AAQQ*TEMP1
* AAPP = AAPP*TEMP1
ELSE
* The boundaries are determined dynamically, based on the number of
* pivots above a threshold.
*
- KBL = MIN0( 8, N )
+ KBL = MIN( 8, N )
*[TP] KBL is a tuning parameter that defines the tile size in the
* tiling of the p-q loops of pivot pairs. In general, an optimal
* value of KBL depends on the matrix dimensions and on the
BLSKIP = KBL**2
*[TP] BLKSKIP is a tuning parameter that depends on SWBAND and KBL.
*
- ROWSKIP = MIN0( 5, KBL )
+ ROWSKIP = MIN( 5, KBL )
*[TP] ROWSKIP is a tuning parameter.
*
LKAHEAD = 1
* invokes cubic convergence. Big part of this cycle is done inside
* canonical subspaces of dimensions less than M.
*
- IF( ( LOWER .OR. UPPER ) .AND. ( N.GT.MAX0( 64, 4*KBL ) ) ) THEN
+ IF( ( LOWER .OR. UPPER ) .AND. ( N.GT.MAX( 64, 4*KBL ) ) ) THEN
*[TP] The number of partition levels and the actual partition are
* tuning parameters.
N4 = N / 4
*
igl = ( ibr-1 )*KBL + 1
*
- DO 1002 ir1 = 0, MIN0( LKAHEAD, NBL-ibr )
+ DO 1002 ir1 = 0, MIN( LKAHEAD, NBL-ibr )
*
igl = igl + ir1*KBL
*
- DO 2001 p = igl, MIN0( igl+KBL-1, N-1 )
+ DO 2001 p = igl, MIN( igl+KBL-1, N-1 )
*
* .. de Rijk's pivoting
*
*
PSKIPPED = 0
*
- DO 2002 q = p + 1, MIN0( igl+KBL-1, N )
+ DO 2002 q = p + 1, MIN( igl+KBL-1, N )
*
AAQQ = SVA( q )
*
END IF
END IF
*
- MXAAPQ = AMAX1( MXAAPQ, ABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, ABS( AAPQ ) )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, ABS( T ) )
+ MXSINJ = MAX( MXSINJ, ABS( T ) )
*
ELSE
*
CS = SQRT( ONE / ( ONE+T*T ) )
SN = T*CS
*
- MXSINJ = AMAX1( MXSINJ, ABS( SN ) )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, ABS( SN ) )
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
*
APOAQ = WORK( p ) / WORK( q )
$ A( 1, q ), 1 )
CALL SLASCL( 'G', 0, 0, ONE, AAQQ, M,
$ 1, A( 1, q ), LDA, IERR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
* END IF ROTOK THEN ... ELSE
*
ELSE
SVA( p ) = AAPP
IF( ( ir1.EQ.0 ) .AND. ( AAPP.EQ.ZERO ) )
- $ NOTROT = NOTROT + MIN0( igl+KBL-1, N ) - p
+ $ NOTROT = NOTROT + MIN( igl+KBL-1, N ) - p
END IF
*
2001 CONTINUE
* doing the block at ( ibr, jbc )
*
IJBLSK = 0
- DO 2100 p = igl, MIN0( igl+KBL-1, N )
+ DO 2100 p = igl, MIN( igl+KBL-1, N )
*
AAPP = SVA( p )
IF( AAPP.GT.ZERO ) THEN
*
PSKIPPED = 0
*
- DO 2200 q = jgl, MIN0( jgl+KBL-1, N )
+ DO 2200 q = jgl, MIN( jgl+KBL-1, N )
*
AAQQ = SVA( q )
IF( AAQQ.GT.ZERO ) THEN
END IF
END IF
*
- MXAAPQ = AMAX1( MXAAPQ, ABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, ABS( AAPQ ) )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, ABS( T ) )
+ MXSINJ = MAX( MXSINJ, ABS( T ) )
ELSE
*
* .. choose correct signum for THETA and rotate
$ SQRT( ONE+THETA*THETA ) )
CS = SQRT( ONE / ( ONE+T*T ) )
SN = T*CS
- MXSINJ = AMAX1( MXSINJ, ABS( SN ) )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, ABS( SN ) )
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
*
APOAQ = WORK( p ) / WORK( q )
CALL SLASCL( 'G', 0, 0, ONE, AAQQ,
$ M, 1, A( 1, q ), LDA,
$ IERR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
ELSE
CALL SCOPY( M, A( 1, q ), 1,
$ WORK( N+1 ), 1 )
CALL SLASCL( 'G', 0, 0, ONE, AAPP,
$ M, 1, A( 1, p ), LDA,
$ IERR )
- SVA( p ) = AAPP*SQRT( AMAX1( ZERO,
+ SVA( p ) = AAPP*SQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
END IF
* END IF ROTOK THEN ... ELSE
ELSE
*
IF( AAPP.EQ.ZERO )NOTROT = NOTROT +
- $ MIN0( jgl+KBL-1, N ) - jgl + 1
+ $ MIN( jgl+KBL-1, N ) - jgl + 1
IF( AAPP.LT.ZERO )NOTROT = 0
*
END IF
* end of the jbc-loop
2011 CONTINUE
*2011 bailed out of the jbc-loop
- DO 2012 p = igl, MIN0( igl+KBL-1, N )
+ DO 2012 p = igl, MIN( igl+KBL-1, N )
SVA( p ) = ABS( SVA( p ) )
2012 CONTINUE
***
REAL FASTR( 5 )
* ..
* .. Intrinsic Functions ..
- INTRINSIC ABS, AMAX1, FLOAT, MIN0, SIGN, SQRT
+ INTRINSIC ABS, MAX, FLOAT, MIN, SIGN, SQRT
* ..
* .. External Functions ..
REAL SDOT, SNRM2
* Jacobi SVD algorithm SGESVJ. For sweeps i=1:SWBAND the procedure
* ......
- KBL = MIN0( 8, N )
+ KBL = MIN( 8, N )
*[TP] KBL is a tuning parameter that defines the tile size in the
* tiling of the p-q loops of pivot pairs. In general, an optimal
* value of KBL depends on the matrix dimensions and on the
BLSKIP = ( KBL**2 ) + 1
*[TP] BLKSKIP is a tuning parameter that depends on SWBAND and KBL.
- ROWSKIP = MIN0( 5, KBL )
+ ROWSKIP = MIN( 5, KBL )
*[TP] ROWSKIP is a tuning parameter.
LKAHEAD = 1
igl = ( ibr-1 )*KBL + 1
*
- DO 1002 ir1 = 0, MIN0( LKAHEAD, NBL-ibr )
+ DO 1002 ir1 = 0, MIN( LKAHEAD, NBL-ibr )
*
igl = igl + ir1*KBL
*
- DO 2001 p = igl, MIN0( igl+KBL-1, N-1 )
+ DO 2001 p = igl, MIN( igl+KBL-1, N-1 )
* .. de Rijk's pivoting
q = ISAMAX( N-p+1, SVA( p ), 1 ) + p - 1
*
PSKIPPED = 0
*
- DO 2002 q = p + 1, MIN0( igl+KBL-1, N )
+ DO 2002 q = p + 1, MIN( igl+KBL-1, N )
*
AAQQ = SVA( q )
END IF
END IF
*
- MXAAPQ = AMAX1( MXAAPQ, ABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, ABS( AAPQ ) )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, ABS( T ) )
+ MXSINJ = MAX( MXSINJ, ABS( T ) )
*
ELSE
*
CS = SQRT( ONE / ( ONE+T*T ) )
SN = T*CS
*
- MXSINJ = AMAX1( MXSINJ, ABS( SN ) )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, ABS( SN ) )
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
*
APOAQ = D( p ) / D( q )
$ A( 1, q ), 1 )
CALL SLASCL( 'G', 0, 0, ONE, AAQQ, M,
$ 1, A( 1, q ), LDA, IERR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
* END IF ROTOK THEN ... ELSE
*
ELSE
SVA( p ) = AAPP
IF( ( ir1.EQ.0 ) .AND. ( AAPP.EQ.ZERO ) )
- $ NOTROT = NOTROT + MIN0( igl+KBL-1, N ) - p
+ $ NOTROT = NOTROT + MIN( igl+KBL-1, N ) - p
END IF
*
2001 CONTINUE
* doing the block at ( ibr, jbc )
*
IJBLSK = 0
- DO 2100 p = igl, MIN0( igl+KBL-1, N )
+ DO 2100 p = igl, MIN( igl+KBL-1, N )
*
AAPP = SVA( p )
*
*
PSKIPPED = 0
*
- DO 2200 q = jgl, MIN0( jgl+KBL-1, N )
+ DO 2200 q = jgl, MIN( jgl+KBL-1, N )
*
AAQQ = SVA( q )
*
END IF
END IF
*
- MXAAPQ = AMAX1( MXAAPQ, ABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, ABS( AAPQ ) )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, ABS( T ) )
+ MXSINJ = MAX( MXSINJ, ABS( T ) )
ELSE
*
* .. choose correct signum for THETA and rotate
$ SQRT( ONE+THETA*THETA ) )
CS = SQRT( ONE / ( ONE+T*T ) )
SN = T*CS
- MXSINJ = AMAX1( MXSINJ, ABS( SN ) )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, ABS( SN ) )
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
*
APOAQ = D( p ) / D( q )
CALL SLASCL( 'G', 0, 0, ONE, AAQQ,
$ M, 1, A( 1, q ), LDA,
$ IERR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
ELSE
CALL SCOPY( M, A( 1, q ), 1, WORK,
$ 1 )
CALL SLASCL( 'G', 0, 0, ONE, AAPP,
$ M, 1, A( 1, p ), LDA,
$ IERR )
- SVA( p ) = AAPP*SQRT( AMAX1( ZERO,
+ SVA( p ) = AAPP*SQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
END IF
* END IF ROTOK THEN ... ELSE
*
ELSE
IF( AAPP.EQ.ZERO )NOTROT = NOTROT +
- $ MIN0( jgl+KBL-1, N ) - jgl + 1
+ $ MIN( jgl+KBL-1, N ) - jgl + 1
IF( AAPP.LT.ZERO )NOTROT = 0
END IF
* end of the jbc-loop
2011 CONTINUE
*2011 bailed out of the jbc-loop
- DO 2012 p = igl, MIN0( igl+KBL-1, N )
+ DO 2012 p = igl, MIN( igl+KBL-1, N )
SVA( p ) = ABS( SVA( p ) )
2012 CONTINUE
*
REAL FASTR( 5 )
* ..
* .. Intrinsic Functions ..
- INTRINSIC ABS, AMAX1, FLOAT, MIN0, SIGN, SQRT
+ INTRINSIC ABS, MAX, FLOAT, MIN, SIGN, SQRT
* ..
* .. External Functions ..
REAL SDOT, SNRM2
*
* .. Row-cyclic pivot strategy with de Rijk's pivoting ..
*
- KBL = MIN0( 8, N )
+ KBL = MIN( 8, N )
NBLR = N1 / KBL
IF( ( NBLR*KBL ).NE.N1 )NBLR = NBLR + 1
BLSKIP = ( KBL**2 ) + 1
*[TP] BLKSKIP is a tuning parameter that depends on SWBAND and KBL.
- ROWSKIP = MIN0( 5, KBL )
+ ROWSKIP = MIN( 5, KBL )
*[TP] ROWSKIP is a tuning parameter.
SWBAND = 0
*[TP] SWBAND is a tuning parameter. It is meaningful and effective
* doing the block at ( ibr, jbc )
IJBLSK = 0
- DO 2100 p = igl, MIN0( igl+KBL-1, N1 )
+ DO 2100 p = igl, MIN( igl+KBL-1, N1 )
AAPP = SVA( p )
PSKIPPED = 0
- DO 2200 q = jgl, MIN0( jgl+KBL-1, N )
+ DO 2200 q = jgl, MIN( jgl+KBL-1, N )
*
AAQQ = SVA( q )
END IF
END IF
- MXAAPQ = AMAX1( MXAAPQ, ABS( AAPQ ) )
+ MXAAPQ = MAX( MXAAPQ, ABS( AAPQ ) )
* TO rotate or NOT to rotate, THAT is the question ...
*
$ V( 1, p ), 1,
$ V( 1, q ), 1,
$ FASTR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, ABS( T ) )
+ MXSINJ = MAX( MXSINJ, ABS( T ) )
ELSE
*
* .. choose correct signum for THETA and rotate
$ SQRT( ONE+THETA*THETA ) )
CS = SQRT( ONE / ( ONE+T*T ) )
SN = T*CS
- MXSINJ = AMAX1( MXSINJ, ABS( SN ) )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, ABS( SN ) )
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ ) )
- AAPP = AAPP*SQRT( AMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ ) )
APOAQ = D( p ) / D( q )
CALL SLASCL( 'G', 0, 0, ONE, AAQQ,
$ M, 1, A( 1, q ), LDA,
$ IERR )
- SVA( q ) = AAQQ*SQRT( AMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
ELSE
CALL SCOPY( M, A( 1, q ), 1, WORK,
$ 1 )
CALL SLASCL( 'G', 0, 0, ONE, AAPP,
$ M, 1, A( 1, p ), LDA,
$ IERR )
- SVA( p ) = AAPP*SQRT( AMAX1( ZERO,
+ SVA( p ) = AAPP*SQRT( MAX( ZERO,
$ ONE-AAPQ*AAPQ ) )
- MXSINJ = AMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
END IF
* END IF ROTOK THEN ... ELSE
*
ELSE
IF( AAPP.EQ.ZERO )NOTROT = NOTROT +
- $ MIN0( jgl+KBL-1, N ) - jgl + 1
+ $ MIN( jgl+KBL-1, N ) - jgl + 1
IF( AAPP.LT.ZERO )NOTROT = 0
*** IF ( NOTROT .GE. EMPTSW ) GO TO 2011
END IF
* end of the jbc-loop
2011 CONTINUE
*2011 bailed out of the jbc-loop
- DO 2012 p = igl, MIN0( igl+KBL-1, N )
+ DO 2012 p = igl, MIN( igl+KBL-1, N )
SVA( p ) = ABS( SVA( p ) )
2012 CONTINUE
*** IF ( NOTROT .GE. EMPTSW ) GO TO 1994