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
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
|
*> \brief \b CCHKGL
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE CCHKGL( NIN, NOUT )
*
* .. Scalar Arguments ..
* INTEGER NIN, NOUT
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> CCHKGL tests CGGBAL, a routine for balancing a matrix pair (A, B).
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] NIN
*> \verbatim
*> NIN is INTEGER
*> The logical unit number for input. NIN > 0.
*> \endverbatim
*>
*> \param[in] NOUT
*> \verbatim
*> NOUT is INTEGER
*> The logical unit number for output. NOUT > 0.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date November 2011
*
*> \ingroup complex_eig
*
* =====================================================================
SUBROUTINE CCHKGL( NIN, NOUT )
*
* -- LAPACK test routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* November 2011
*
* .. Scalar Arguments ..
INTEGER NIN, NOUT
* ..
*
* =====================================================================
*
* .. Parameters ..
INTEGER LDA, LDB, LWORK
PARAMETER ( LDA = 20, LDB = 20, LWORK = 6*LDA )
REAL ZERO
PARAMETER ( ZERO = 0.0E+0 )
* ..
* .. Local Scalars ..
INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
$ NINFO
REAL ANORM, BNORM, EPS, RMAX, VMAX
* ..
* .. Local Arrays ..
INTEGER LMAX( 3 )
REAL LSCALE( LDA ), LSCLIN( LDA ), RSCALE( LDA ),
$ RSCLIN( LDA ), WORK( LWORK )
COMPLEX A( LDA, LDA ), AIN( LDA, LDA ), B( LDB, LDB ),
$ BIN( LDB, LDB )
* ..
* .. External Functions ..
REAL CLANGE, SLAMCH
EXTERNAL CLANGE, SLAMCH
* ..
* .. External Subroutines ..
EXTERNAL CGGBAL
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX
* ..
* .. Executable Statements ..
*
LMAX( 1 ) = 0
LMAX( 2 ) = 0
LMAX( 3 ) = 0
NINFO = 0
KNT = 0
RMAX = ZERO
*
EPS = SLAMCH( 'Precision' )
*
10 CONTINUE
*
READ( NIN, FMT = * )N
IF( N.EQ.0 )
$ GO TO 90
DO 20 I = 1, N
READ( NIN, FMT = * )( A( I, J ), J = 1, N )
20 CONTINUE
*
DO 30 I = 1, N
READ( NIN, FMT = * )( B( I, J ), J = 1, N )
30 CONTINUE
*
READ( NIN, FMT = * )ILOIN, IHIIN
DO 40 I = 1, N
READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
40 CONTINUE
DO 50 I = 1, N
READ( NIN, FMT = * )( BIN( I, J ), J = 1, N )
50 CONTINUE
*
READ( NIN, FMT = * )( LSCLIN( I ), I = 1, N )
READ( NIN, FMT = * )( RSCLIN( I ), I = 1, N )
*
ANORM = CLANGE( 'M', N, N, A, LDA, WORK )
BNORM = CLANGE( 'M', N, N, B, LDB, WORK )
*
KNT = KNT + 1
*
CALL CGGBAL( 'B', N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE,
$ WORK, 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
*
VMAX = ZERO
DO 70 I = 1, N
DO 60 J = 1, N
VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) )
VMAX = MAX( VMAX, ABS( B( I, J )-BIN( I, J ) ) )
60 CONTINUE
70 CONTINUE
*
DO 80 I = 1, N
VMAX = MAX( VMAX, ABS( LSCALE( I )-LSCLIN( I ) ) )
VMAX = MAX( VMAX, ABS( RSCALE( I )-RSCLIN( I ) ) )
80 CONTINUE
*
VMAX = VMAX / ( EPS*MAX( ANORM, BNORM ) )
*
IF( VMAX.GT.RMAX ) THEN
LMAX( 3 ) = KNT
RMAX = VMAX
END IF
*
GO TO 10
*
90 CONTINUE
*
WRITE( NOUT, FMT = 9999 )
9999 FORMAT( ' .. test output of CGGBAL .. ' )
*
WRITE( NOUT, FMT = 9998 )RMAX
9998 FORMAT( ' ratio of largest test error = ', E12.3 )
WRITE( NOUT, FMT = 9997 )LMAX( 1 )
9997 FORMAT( ' example number where info is not zero = ', I4 )
WRITE( NOUT, FMT = 9996 )LMAX( 2 )
9996 FORMAT( ' example number where ILO or IHI is wrong = ', I4 )
WRITE( NOUT, FMT = 9995 )LMAX( 3 )
9995 FORMAT( ' example number having largest error = ', I4 )
WRITE( NOUT, FMT = 9994 )NINFO
9994 FORMAT( ' number of examples where info is not 0 = ', I4 )
WRITE( NOUT, FMT = 9993 )KNT
9993 FORMAT( ' total number of examples tested = ', I4 )
*
RETURN
*
* End of CCHKGL
*
END
|
