1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
|
SUBROUTINE CCHKBL( NIN, NOUT )
*
* -- LAPACK test routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* June 30, 1999
*
* .. Scalar Arguments ..
INTEGER NIN, NOUT
* ..
*
* Purpose
* =======
*
* CCHKBL tests CGEBAL, a routine for balancing a general complex
* matrix and isolating some of its eigenvalues.
*
* Arguments
* =========
*
* NIN (input) INTEGER
* The logical unit number for input. NIN > 0.
*
* NOUT (input) INTEGER
* The logical unit number for output. NOUT > 0.
*
* ======================================================================
*
* .. Parameters ..
INTEGER LDA
PARAMETER ( LDA = 20 )
REAL ZERO
PARAMETER ( ZERO = 0.0E+0 )
* ..
* .. Local Scalars ..
INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
$ NINFO
REAL ANORM, MEPS, RMAX, SFMIN, TEMP, VMAX
COMPLEX CDUM
* ..
* .. Local Arrays ..
INTEGER LMAX( 3 )
REAL DUMMY( 1 ), SCALE( LDA ), SCALIN( LDA )
COMPLEX A( LDA, LDA ), AIN( LDA, LDA )
* ..
* .. External Functions ..
REAL CLANGE, SLAMCH
EXTERNAL CLANGE, SLAMCH
* ..
* .. External Subroutines ..
EXTERNAL CGEBAL
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, AIMAG, MAX, REAL
* ..
* .. Statement Functions ..
REAL CABS1
* ..
* .. Statement Function definitions ..
CABS1( CDUM ) = ABS( REAL( CDUM ) ) + ABS( AIMAG( CDUM ) )
* ..
* .. Executable Statements ..
*
LMAX( 1 ) = 0
LMAX( 2 ) = 0
LMAX( 3 ) = 0
NINFO = 0
KNT = 0
RMAX = ZERO
VMAX = ZERO
SFMIN = SLAMCH( 'S' )
MEPS = SLAMCH( 'E' )
*
10 CONTINUE
*
READ( NIN, FMT = * )N
IF( N.EQ.0 )
$ GO TO 70
DO 20 I = 1, N
READ( NIN, FMT = * )( A( I, J ), J = 1, N )
20 CONTINUE
*
READ( NIN, FMT = * )ILOIN, IHIIN
DO 30 I = 1, N
READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
30 CONTINUE
READ( NIN, FMT = * )( SCALIN( I ), I = 1, N )
*
ANORM = CLANGE( 'M', N, N, A, LDA, DUMMY )
KNT = KNT + 1
CALL CGEBAL( 'B', N, A, LDA, ILO, IHI, SCALE, INFO )
*
IF( INFO.NE.0 ) THEN
NINFO = NINFO + 1
LMAX( 1 ) = KNT
END IF
*
IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
NINFO = NINFO + 1
LMAX( 2 ) = KNT
END IF
*
DO 50 I = 1, N
DO 40 J = 1, N
TEMP = MAX( CABS1( A( I, J ) ), CABS1( AIN( I, J ) ) )
TEMP = MAX( TEMP, SFMIN )
VMAX = MAX( VMAX, CABS1( A( I, J )-AIN( I, J ) ) / TEMP )
40 CONTINUE
50 CONTINUE
*
DO 60 I = 1, N
TEMP = MAX( SCALE( I ), SCALIN( I ) )
TEMP = MAX( TEMP, SFMIN )
VMAX = MAX( VMAX, ABS( SCALE( I )-SCALIN( I ) ) / TEMP )
60 CONTINUE
*
IF( VMAX.GT.RMAX ) THEN
LMAX( 3 ) = KNT
RMAX = VMAX
END IF
*
GO TO 10
*
70 CONTINUE
*
WRITE( NOUT, FMT = 9999 )
9999 FORMAT( 1X, '.. test output of CGEBAL .. ' )
*
WRITE( NOUT, FMT = 9998 )RMAX
9998 FORMAT( 1X, 'value of largest test error = ', E12.3 )
WRITE( NOUT, FMT = 9997 )LMAX( 1 )
9997 FORMAT( 1X, 'example number where info is not zero = ', I4 )
WRITE( NOUT, FMT = 9996 )LMAX( 2 )
9996 FORMAT( 1X, 'example number where ILO or IHI wrong = ', I4 )
WRITE( NOUT, FMT = 9995 )LMAX( 3 )
9995 FORMAT( 1X, 'example number having largest error = ', I4 )
WRITE( NOUT, FMT = 9994 )NINFO
9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 )
WRITE( NOUT, FMT = 9993 )KNT
9993 FORMAT( 1X, 'total number of examples tested = ', I4 )
*
RETURN
*
* End of CCHKBL
*
END
|
