1 SUBROUTINE CCHKBL( NIN, NOUT )
2 *
3 * -- LAPACK test routine (version 3.1) --
4 * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
5 * November 2006
6 *
7 * .. Scalar Arguments ..
8 INTEGER NIN, NOUT
9 * ..
10 *
11 * Purpose
12 * =======
13 *
14 * CCHKBL tests CGEBAL, a routine for balancing a general complex
15 * matrix and isolating some of its eigenvalues.
16 *
17 * Arguments
18 * =========
19 *
20 * NIN (input) INTEGER
21 * The logical unit number for input. NIN > 0.
22 *
23 * NOUT (input) INTEGER
24 * The logical unit number for output. NOUT > 0.
25 *
26 * ======================================================================
27 *
28 * .. Parameters ..
29 INTEGER LDA
30 PARAMETER ( LDA = 20 )
31 REAL ZERO
32 PARAMETER ( ZERO = 0.0E+0 )
33 * ..
34 * .. Local Scalars ..
35 INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
36 $ NINFO
37 REAL ANORM, MEPS, RMAX, SFMIN, TEMP, VMAX
38 COMPLEX CDUM
39 * ..
40 * .. Local Arrays ..
41 INTEGER LMAX( 3 )
42 REAL DUMMY( 1 ), SCALE( LDA ), SCALIN( LDA )
43 COMPLEX A( LDA, LDA ), AIN( LDA, LDA )
44 * ..
45 * .. External Functions ..
46 REAL CLANGE, SLAMCH
47 EXTERNAL CLANGE, SLAMCH
48 * ..
49 * .. External Subroutines ..
50 EXTERNAL CGEBAL
51 * ..
52 * .. Intrinsic Functions ..
53 INTRINSIC ABS, AIMAG, MAX, REAL
54 * ..
55 * .. Statement Functions ..
56 REAL CABS1
57 * ..
58 * .. Statement Function definitions ..
59 CABS1( CDUM ) = ABS( REAL( CDUM ) ) + ABS( AIMAG( CDUM ) )
60 * ..
61 * .. Executable Statements ..
62 *
63 LMAX( 1 ) = 0
64 LMAX( 2 ) = 0
65 LMAX( 3 ) = 0
66 NINFO = 0
67 KNT = 0
68 RMAX = ZERO
69 VMAX = ZERO
70 SFMIN = SLAMCH( 'S' )
71 MEPS = SLAMCH( 'E' )
72 *
73 10 CONTINUE
74 *
75 READ( NIN, FMT = * )N
76 IF( N.EQ.0 )
77 $ GO TO 70
78 DO 20 I = 1, N
79 READ( NIN, FMT = * )( A( I, J ), J = 1, N )
80 20 CONTINUE
81 *
82 READ( NIN, FMT = * )ILOIN, IHIIN
83 DO 30 I = 1, N
84 READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
85 30 CONTINUE
86 READ( NIN, FMT = * )( SCALIN( I ), I = 1, N )
87 *
88 ANORM = CLANGE( 'M', N, N, A, LDA, DUMMY )
89 KNT = KNT + 1
90 CALL CGEBAL( 'B', N, A, LDA, ILO, IHI, SCALE, INFO )
91 *
92 IF( INFO.NE.0 ) THEN
93 NINFO = NINFO + 1
94 LMAX( 1 ) = KNT
95 END IF
96 *
97 IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
98 NINFO = NINFO + 1
99 LMAX( 2 ) = KNT
100 END IF
101 *
102 DO 50 I = 1, N
103 DO 40 J = 1, N
104 TEMP = MAX( CABS1( A( I, J ) ), CABS1( AIN( I, J ) ) )
105 TEMP = MAX( TEMP, SFMIN )
106 VMAX = MAX( VMAX, CABS1( A( I, J )-AIN( I, J ) ) / TEMP )
107 40 CONTINUE
108 50 CONTINUE
109 *
110 DO 60 I = 1, N
111 TEMP = MAX( SCALE( I ), SCALIN( I ) )
112 TEMP = MAX( TEMP, SFMIN )
113 VMAX = MAX( VMAX, ABS( SCALE( I )-SCALIN( I ) ) / TEMP )
114 60 CONTINUE
115 *
116 IF( VMAX.GT.RMAX ) THEN
117 LMAX( 3 ) = KNT
118 RMAX = VMAX
119 END IF
120 *
121 GO TO 10
122 *
123 70 CONTINUE
124 *
125 WRITE( NOUT, FMT = 9999 )
126 9999 FORMAT( 1X, '.. test output of CGEBAL .. ' )
127 *
128 WRITE( NOUT, FMT = 9998 )RMAX
129 9998 FORMAT( 1X, 'value of largest test error = ', E12.3 )
130 WRITE( NOUT, FMT = 9997 )LMAX( 1 )
131 9997 FORMAT( 1X, 'example number where info is not zero = ', I4 )
132 WRITE( NOUT, FMT = 9996 )LMAX( 2 )
133 9996 FORMAT( 1X, 'example number where ILO or IHI wrong = ', I4 )
134 WRITE( NOUT, FMT = 9995 )LMAX( 3 )
135 9995 FORMAT( 1X, 'example number having largest error = ', I4 )
136 WRITE( NOUT, FMT = 9994 )NINFO
137 9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 )
138 WRITE( NOUT, FMT = 9993 )KNT
139 9993 FORMAT( 1X, 'total number of examples tested = ', I4 )
140 *
141 RETURN
142 *
143 * End of CCHKBL
144 *
145 END
2 *
3 * -- LAPACK test routine (version 3.1) --
4 * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
5 * November 2006
6 *
7 * .. Scalar Arguments ..
8 INTEGER NIN, NOUT
9 * ..
10 *
11 * Purpose
12 * =======
13 *
14 * CCHKBL tests CGEBAL, a routine for balancing a general complex
15 * matrix and isolating some of its eigenvalues.
16 *
17 * Arguments
18 * =========
19 *
20 * NIN (input) INTEGER
21 * The logical unit number for input. NIN > 0.
22 *
23 * NOUT (input) INTEGER
24 * The logical unit number for output. NOUT > 0.
25 *
26 * ======================================================================
27 *
28 * .. Parameters ..
29 INTEGER LDA
30 PARAMETER ( LDA = 20 )
31 REAL ZERO
32 PARAMETER ( ZERO = 0.0E+0 )
33 * ..
34 * .. Local Scalars ..
35 INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
36 $ NINFO
37 REAL ANORM, MEPS, RMAX, SFMIN, TEMP, VMAX
38 COMPLEX CDUM
39 * ..
40 * .. Local Arrays ..
41 INTEGER LMAX( 3 )
42 REAL DUMMY( 1 ), SCALE( LDA ), SCALIN( LDA )
43 COMPLEX A( LDA, LDA ), AIN( LDA, LDA )
44 * ..
45 * .. External Functions ..
46 REAL CLANGE, SLAMCH
47 EXTERNAL CLANGE, SLAMCH
48 * ..
49 * .. External Subroutines ..
50 EXTERNAL CGEBAL
51 * ..
52 * .. Intrinsic Functions ..
53 INTRINSIC ABS, AIMAG, MAX, REAL
54 * ..
55 * .. Statement Functions ..
56 REAL CABS1
57 * ..
58 * .. Statement Function definitions ..
59 CABS1( CDUM ) = ABS( REAL( CDUM ) ) + ABS( AIMAG( CDUM ) )
60 * ..
61 * .. Executable Statements ..
62 *
63 LMAX( 1 ) = 0
64 LMAX( 2 ) = 0
65 LMAX( 3 ) = 0
66 NINFO = 0
67 KNT = 0
68 RMAX = ZERO
69 VMAX = ZERO
70 SFMIN = SLAMCH( 'S' )
71 MEPS = SLAMCH( 'E' )
72 *
73 10 CONTINUE
74 *
75 READ( NIN, FMT = * )N
76 IF( N.EQ.0 )
77 $ GO TO 70
78 DO 20 I = 1, N
79 READ( NIN, FMT = * )( A( I, J ), J = 1, N )
80 20 CONTINUE
81 *
82 READ( NIN, FMT = * )ILOIN, IHIIN
83 DO 30 I = 1, N
84 READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
85 30 CONTINUE
86 READ( NIN, FMT = * )( SCALIN( I ), I = 1, N )
87 *
88 ANORM = CLANGE( 'M', N, N, A, LDA, DUMMY )
89 KNT = KNT + 1
90 CALL CGEBAL( 'B', N, A, LDA, ILO, IHI, SCALE, INFO )
91 *
92 IF( INFO.NE.0 ) THEN
93 NINFO = NINFO + 1
94 LMAX( 1 ) = KNT
95 END IF
96 *
97 IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
98 NINFO = NINFO + 1
99 LMAX( 2 ) = KNT
100 END IF
101 *
102 DO 50 I = 1, N
103 DO 40 J = 1, N
104 TEMP = MAX( CABS1( A( I, J ) ), CABS1( AIN( I, J ) ) )
105 TEMP = MAX( TEMP, SFMIN )
106 VMAX = MAX( VMAX, CABS1( A( I, J )-AIN( I, J ) ) / TEMP )
107 40 CONTINUE
108 50 CONTINUE
109 *
110 DO 60 I = 1, N
111 TEMP = MAX( SCALE( I ), SCALIN( I ) )
112 TEMP = MAX( TEMP, SFMIN )
113 VMAX = MAX( VMAX, ABS( SCALE( I )-SCALIN( I ) ) / TEMP )
114 60 CONTINUE
115 *
116 IF( VMAX.GT.RMAX ) THEN
117 LMAX( 3 ) = KNT
118 RMAX = VMAX
119 END IF
120 *
121 GO TO 10
122 *
123 70 CONTINUE
124 *
125 WRITE( NOUT, FMT = 9999 )
126 9999 FORMAT( 1X, '.. test output of CGEBAL .. ' )
127 *
128 WRITE( NOUT, FMT = 9998 )RMAX
129 9998 FORMAT( 1X, 'value of largest test error = ', E12.3 )
130 WRITE( NOUT, FMT = 9997 )LMAX( 1 )
131 9997 FORMAT( 1X, 'example number where info is not zero = ', I4 )
132 WRITE( NOUT, FMT = 9996 )LMAX( 2 )
133 9996 FORMAT( 1X, 'example number where ILO or IHI wrong = ', I4 )
134 WRITE( NOUT, FMT = 9995 )LMAX( 3 )
135 9995 FORMAT( 1X, 'example number having largest error = ', I4 )
136 WRITE( NOUT, FMT = 9994 )NINFO
137 9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 )
138 WRITE( NOUT, FMT = 9993 )KNT
139 9993 FORMAT( 1X, 'total number of examples tested = ', I4 )
140 *
141 RETURN
142 *
143 * End of CCHKBL
144 *
145 END