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authorJulien Langou <julien.langou@ucdenver.edu>2016-12-19 11:27:35 +0100
committerJulien Langou <julien.langou@ucdenver.edu>2016-12-19 11:27:35 +0100
commitad5bc21cb50535d66d628a309d60128db96c8851 (patch)
treecc7b72b0795c8c64ebf18cf28c984c41cfbedc54 /SRC/zgsvj1.f
parent5f3f247a5876ae4d5c67a765ffe8a35ef7944211 (diff)
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contribution from Zlatko Drmac
Note: I still need to work on merging [C/Z]GEJSV, but there is much more work on these two files. We will see when this can be done.
Diffstat (limited to 'SRC/zgsvj1.f')
-rw-r--r--SRC/zgsvj1.f85
1 files changed, 43 insertions, 42 deletions
diff --git a/SRC/zgsvj1.f b/SRC/zgsvj1.f
index 89ce3d01..9c764c89 100644
--- a/SRC/zgsvj1.f
+++ b/SRC/zgsvj1.f
@@ -27,8 +27,8 @@
* CHARACTER*1 JOBV
* ..
* .. Array Arguments ..
-* COMPLEX*16 A( LDA, * ), D( N ), V( LDV, * ), WORK( LWORK )
-* DOUBLE PRECISION SVA( N )
+* COMPLEX*16 A( LDA, * ), D( N ), V( LDV, * ), WORK( LWORK )
+* DOUBLE PRECISION SVA( N )
* ..
*
*
@@ -227,10 +227,10 @@
*
*> \ingroup complex16OTHERcomputational
*
-*> \par Contributors:
+*> \par Contributor:
* ==================
*>
-*> Zlatko Drmac (Zagreb, Croatia) and Kresimir Veselic (Hagen, Germany)
+*> Zlatko Drmac (Zagreb, Croatia)
*
* =====================================================================
SUBROUTINE ZGSVJ1( JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV,
@@ -261,7 +261,7 @@
* .. Local Scalars ..
COMPLEX*16 AAPQ, OMPQ
DOUBLE PRECISION AAPP, AAPP0, AAPQ1, AAQQ, APOAQ, AQOAP, BIG,
- $ BIGTHETA, CS, LARGE, MXAAPQ, MXSINJ, ROOTBIG,
+ $ BIGTHETA, CS, MXAAPQ, MXSINJ, ROOTBIG,
$ ROOTEPS, ROOTSFMIN, ROOTTOL, SMALL, SN, T,
$ TEMP1, THETA, THSIGN
INTEGER BLSKIP, EMPTSW, i, ibr, igl, IERR, IJBLSK,
@@ -271,7 +271,7 @@
* ..
* ..
* .. Intrinsic Functions ..
- INTRINSIC ABS, DCONJG, DMAX1, DBLE, MIN0, DSIGN, DSQRT
+ INTRINSIC ABS, CONJG, MAX, DBLE, MIN, SIGN, SQRT
* ..
* .. External Functions ..
DOUBLE PRECISION DZNRM2
@@ -330,14 +330,14 @@
END IF
RSVEC = RSVEC .OR. APPLV
- ROOTEPS = DSQRT( EPS )
- ROOTSFMIN = DSQRT( SFMIN )
+ ROOTEPS = SQRT( EPS )
+ ROOTSFMIN = SQRT( SFMIN )
SMALL = SFMIN / EPS
BIG = ONE / SFMIN
ROOTBIG = ONE / ROOTSFMIN
- LARGE = BIG / DSQRT( DBLE( M*N ) )
+* LARGE = BIG / SQRT( DBLE( M*N ) )
BIGTHETA = ONE / ROOTEPS
- ROOTTOL = DSQRT( TOL )
+ ROOTTOL = SQRT( TOL )
*
* .. Initialize the right singular vector matrix ..
*
@@ -348,7 +348,7 @@
*
* .. 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
@@ -359,7 +359,7 @@
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
@@ -409,14 +409,14 @@
* 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 )
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
@@ -452,7 +452,8 @@
END IF
IF( AAPP.GT.( SMALL / AAQQ ) ) THEN
AAPQ = ( ZDOTC( M, A( 1, p ), 1,
- $ A( 1, q ), 1 ) / AAQQ ) / AAPP
+ $ A( 1, q ), 1 ) / MAX(AAQQ,AAPP) )
+ $ / MIN(AAQQ,AAPP)
ELSE
CALL ZCOPY( M, A( 1, q ), 1,
$ WORK, 1 )
@@ -464,14 +465,14 @@
END IF
END IF
*
- OMPQ = AAPQ / ABS(AAPQ)
-* AAPQ = AAPQ * DCONJG(CWORK(p))*CWORK(q)
+* AAPQ = AAPQ * CONJG(CWORK(p))*CWORK(q)
AAPQ1 = -ABS(AAPQ)
- MXAAPQ = DMAX1( MXAAPQ, -AAPQ1 )
+ MXAAPQ = MAX( MXAAPQ, -AAPQ1 )
*
* TO rotate or NOT to rotate, THAT is the question ...
*
IF( ABS( AAPQ1 ).GT.TOL ) THEN
+ OMPQ = AAPQ / ABS(AAPQ)
NOTROT = 0
*[RTD] ROTATED = ROTATED + 1
PSKIPPED = 0
@@ -488,37 +489,37 @@
T = HALF / THETA
CS = ONE
CALL ZROT( M, A(1,p), 1, A(1,q), 1,
- $ CS, DCONJG(OMPQ)*T )
+ $ CS, CONJG(OMPQ)*T )
IF( RSVEC ) THEN
CALL ZROT( MVL, V(1,p), 1,
- $ V(1,q), 1, CS, DCONJG(OMPQ)*T )
+ $ V(1,q), 1, CS, CONJG(OMPQ)*T )
END IF
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ1 ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ1 ) )
- MXSINJ = DMAX1( MXSINJ, ABS( T ) )
+ MXSINJ = MAX( MXSINJ, ABS( T ) )
ELSE
*
* .. choose correct signum for THETA and rotate
*
- THSIGN = -DSIGN( ONE, AAPQ1 )
+ THSIGN = -SIGN( ONE, AAPQ1 )
IF( AAQQ.GT.AAPP0 )THSIGN = -THSIGN
T = ONE / ( THETA+THSIGN*
- $ DSQRT( ONE+THETA*THETA ) )
- CS = DSQRT( ONE / ( ONE+T*T ) )
+ $ SQRT( ONE+THETA*THETA ) )
+ CS = SQRT( ONE / ( ONE+T*T ) )
SN = T*CS
- MXSINJ = DMAX1( MXSINJ, ABS( SN ) )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ MXSINJ = MAX( MXSINJ, ABS( SN ) )
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE+T*APOAQ*AAPQ1 ) )
- AAPP = AAPP*DSQRT( DMAX1( ZERO,
+ AAPP = AAPP*SQRT( MAX( ZERO,
$ ONE-T*AQOAP*AAPQ1 ) )
*
CALL ZROT( M, A(1,p), 1, A(1,q), 1,
- $ CS, DCONJG(OMPQ)*SN )
+ $ CS, CONJG(OMPQ)*SN )
IF( RSVEC ) THEN
CALL ZROT( MVL, V(1,p), 1,
- $ V(1,q), 1, CS, DCONJG(OMPQ)*SN )
+ $ V(1,q), 1, CS, CONJG(OMPQ)*SN )
END IF
END IF
D(p) = -D(q) * OMPQ
@@ -539,9 +540,9 @@
CALL ZLASCL( 'G', 0, 0, ONE, AAQQ,
$ M, 1, A( 1, q ), LDA,
$ IERR )
- SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO,
+ SVA( q ) = AAQQ*SQRT( MAX( ZERO,
$ ONE-AAPQ1*AAPQ1 ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
ELSE
CALL ZCOPY( M, A( 1, q ), 1,
$ WORK, 1 )
@@ -551,14 +552,14 @@
CALL ZLASCL( 'G', 0, 0, AAPP, ONE,
$ M, 1, A( 1, p ), LDA,
$ IERR )
- CALL ZAXPY( M, -DCONJG(AAPQ),
+ CALL ZAXPY( M, -CONJG(AAPQ),
$ WORK, 1, A( 1, p ), 1 )
CALL ZLASCL( 'G', 0, 0, ONE, AAPP,
$ M, 1, A( 1, p ), LDA,
$ IERR )
- SVA( p ) = AAPP*DSQRT( DMAX1( ZERO,
+ SVA( p ) = AAPP*SQRT( MAX( ZERO,
$ ONE-AAPQ1*AAPQ1 ) )
- MXSINJ = DMAX1( MXSINJ, SFMIN )
+ MXSINJ = MAX( MXSINJ, SFMIN )
END IF
END IF
* END IF ROTOK THEN ... ELSE
@@ -575,7 +576,7 @@
AAQQ = ONE
CALL ZLASSQ( M, A( 1, q ), 1, T,
$ AAQQ )
- SVA( q ) = T*DSQRT( AAQQ )
+ SVA( q ) = T*SQRT( AAQQ )
END IF
END IF
IF( ( AAPP / AAPP0 )**2.LE.ROOTEPS ) THEN
@@ -587,7 +588,7 @@
AAPP = ONE
CALL ZLASSQ( M, A( 1, p ), 1, T,
$ AAPP )
- AAPP = T*DSQRT( AAPP )
+ AAPP = T*SQRT( AAPP )
END IF
SVA( p ) = AAPP
END IF
@@ -626,7 +627,7 @@
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
@@ -637,7 +638,7 @@
* 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
***
@@ -652,7 +653,7 @@
T = ZERO
AAPP = ONE
CALL ZLASSQ( M, A( 1, N ), 1, T, AAPP )
- SVA( N ) = T*DSQRT( AAPP )
+ SVA( N ) = T*SQRT( AAPP )
END IF
*
* Additional steering devices
@@ -660,7 +661,7 @@
IF( ( i.LT.SWBAND ) .AND. ( ( MXAAPQ.LE.ROOTTOL ) .OR.
$ ( ISWROT.LE.N ) ) )SWBAND = i
*
- IF( ( i.GT.SWBAND+1 ) .AND. ( MXAAPQ.LT.DSQRT( DBLE( N ) )*
+ IF( ( i.GT.SWBAND+1 ) .AND. ( MXAAPQ.LT.SQRT( DBLE( N ) )*
$ TOL ) .AND. ( DBLE( N )*MXAAPQ*MXSINJ.LT.TOL ) ) THEN
GO TO 1994
END IF
generated by cgit v1.2.3 (git 2.25.1) at 2024-10-31 13:44:57 +0000