1 SUBROUTINE DCHKBL( 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 * DCHKBL tests DGEBAL, a routine for balancing a general real
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 DOUBLE PRECISION ZERO
32 PARAMETER ( ZERO = 0.0D+0 )
33 * ..
34 * .. Local Scalars ..
35 INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
36 $ NINFO
37 DOUBLE PRECISION ANORM, MEPS, RMAX, SFMIN, TEMP, VMAX
38 * ..
39 * .. Local Arrays ..
40 INTEGER LMAX( 3 )
41 DOUBLE PRECISION A( LDA, LDA ), AIN( LDA, LDA ), DUMMY( 1 ),
42 $ SCALE( LDA ), SCALIN( LDA )
43 * ..
44 * .. External Functions ..
45 DOUBLE PRECISION DLAMCH, DLANGE
46 EXTERNAL DLAMCH, DLANGE
47 * ..
48 * .. External Subroutines ..
49 EXTERNAL DGEBAL
50 * ..
51 * .. Intrinsic Functions ..
52 INTRINSIC ABS, MAX
53 * ..
54 * .. Executable Statements ..
55 *
56 LMAX( 1 ) = 0
57 LMAX( 2 ) = 0
58 LMAX( 3 ) = 0
59 NINFO = 0
60 KNT = 0
61 RMAX = ZERO
62 VMAX = ZERO
63 SFMIN = DLAMCH( 'S' )
64 MEPS = DLAMCH( 'E' )
65 *
66 10 CONTINUE
67 *
68 READ( NIN, FMT = * )N
69 IF( N.EQ.0 )
70 $ GO TO 70
71 DO 20 I = 1, N
72 READ( NIN, FMT = * )( A( I, J ), J = 1, N )
73 20 CONTINUE
74 *
75 READ( NIN, FMT = * )ILOIN, IHIIN
76 DO 30 I = 1, N
77 READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
78 30 CONTINUE
79 READ( NIN, FMT = * )( SCALIN( I ), I = 1, N )
80 *
81 ANORM = DLANGE( 'M', N, N, A, LDA, DUMMY )
82 KNT = KNT + 1
83 *
84 CALL DGEBAL( 'B', N, A, LDA, ILO, IHI, SCALE, INFO )
85 *
86 IF( INFO.NE.0 ) THEN
87 NINFO = NINFO + 1
88 LMAX( 1 ) = KNT
89 END IF
90 *
91 IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
92 NINFO = NINFO + 1
93 LMAX( 2 ) = KNT
94 END IF
95 *
96 DO 50 I = 1, N
97 DO 40 J = 1, N
98 TEMP = MAX( A( I, J ), AIN( I, J ) )
99 TEMP = MAX( TEMP, SFMIN )
100 VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) / TEMP )
101 40 CONTINUE
102 50 CONTINUE
103 *
104 DO 60 I = 1, N
105 TEMP = MAX( SCALE( I ), SCALIN( I ) )
106 TEMP = MAX( TEMP, SFMIN )
107 VMAX = MAX( VMAX, ABS( SCALE( I )-SCALIN( I ) ) / TEMP )
108 60 CONTINUE
109 *
110 *
111 IF( VMAX.GT.RMAX ) THEN
112 LMAX( 3 ) = KNT
113 RMAX = VMAX
114 END IF
115 *
116 GO TO 10
117 *
118 70 CONTINUE
119 *
120 WRITE( NOUT, FMT = 9999 )
121 9999 FORMAT( 1X, '.. test output of DGEBAL .. ' )
122 *
123 WRITE( NOUT, FMT = 9998 )RMAX
124 9998 FORMAT( 1X, 'value of largest test error = ', D12.3 )
125 WRITE( NOUT, FMT = 9997 )LMAX( 1 )
126 9997 FORMAT( 1X, 'example number where info is not zero = ', I4 )
127 WRITE( NOUT, FMT = 9996 )LMAX( 2 )
128 9996 FORMAT( 1X, 'example number where ILO or IHI wrong = ', I4 )
129 WRITE( NOUT, FMT = 9995 )LMAX( 3 )
130 9995 FORMAT( 1X, 'example number having largest error = ', I4 )
131 WRITE( NOUT, FMT = 9994 )NINFO
132 9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 )
133 WRITE( NOUT, FMT = 9993 )KNT
134 9993 FORMAT( 1X, 'total number of examples tested = ', I4 )
135 *
136 RETURN
137 *
138 * End of DCHKBL
139 *
140 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 * DCHKBL tests DGEBAL, a routine for balancing a general real
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 DOUBLE PRECISION ZERO
32 PARAMETER ( ZERO = 0.0D+0 )
33 * ..
34 * .. Local Scalars ..
35 INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
36 $ NINFO
37 DOUBLE PRECISION ANORM, MEPS, RMAX, SFMIN, TEMP, VMAX
38 * ..
39 * .. Local Arrays ..
40 INTEGER LMAX( 3 )
41 DOUBLE PRECISION A( LDA, LDA ), AIN( LDA, LDA ), DUMMY( 1 ),
42 $ SCALE( LDA ), SCALIN( LDA )
43 * ..
44 * .. External Functions ..
45 DOUBLE PRECISION DLAMCH, DLANGE
46 EXTERNAL DLAMCH, DLANGE
47 * ..
48 * .. External Subroutines ..
49 EXTERNAL DGEBAL
50 * ..
51 * .. Intrinsic Functions ..
52 INTRINSIC ABS, MAX
53 * ..
54 * .. Executable Statements ..
55 *
56 LMAX( 1 ) = 0
57 LMAX( 2 ) = 0
58 LMAX( 3 ) = 0
59 NINFO = 0
60 KNT = 0
61 RMAX = ZERO
62 VMAX = ZERO
63 SFMIN = DLAMCH( 'S' )
64 MEPS = DLAMCH( 'E' )
65 *
66 10 CONTINUE
67 *
68 READ( NIN, FMT = * )N
69 IF( N.EQ.0 )
70 $ GO TO 70
71 DO 20 I = 1, N
72 READ( NIN, FMT = * )( A( I, J ), J = 1, N )
73 20 CONTINUE
74 *
75 READ( NIN, FMT = * )ILOIN, IHIIN
76 DO 30 I = 1, N
77 READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
78 30 CONTINUE
79 READ( NIN, FMT = * )( SCALIN( I ), I = 1, N )
80 *
81 ANORM = DLANGE( 'M', N, N, A, LDA, DUMMY )
82 KNT = KNT + 1
83 *
84 CALL DGEBAL( 'B', N, A, LDA, ILO, IHI, SCALE, INFO )
85 *
86 IF( INFO.NE.0 ) THEN
87 NINFO = NINFO + 1
88 LMAX( 1 ) = KNT
89 END IF
90 *
91 IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
92 NINFO = NINFO + 1
93 LMAX( 2 ) = KNT
94 END IF
95 *
96 DO 50 I = 1, N
97 DO 40 J = 1, N
98 TEMP = MAX( A( I, J ), AIN( I, J ) )
99 TEMP = MAX( TEMP, SFMIN )
100 VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) / TEMP )
101 40 CONTINUE
102 50 CONTINUE
103 *
104 DO 60 I = 1, N
105 TEMP = MAX( SCALE( I ), SCALIN( I ) )
106 TEMP = MAX( TEMP, SFMIN )
107 VMAX = MAX( VMAX, ABS( SCALE( I )-SCALIN( I ) ) / TEMP )
108 60 CONTINUE
109 *
110 *
111 IF( VMAX.GT.RMAX ) THEN
112 LMAX( 3 ) = KNT
113 RMAX = VMAX
114 END IF
115 *
116 GO TO 10
117 *
118 70 CONTINUE
119 *
120 WRITE( NOUT, FMT = 9999 )
121 9999 FORMAT( 1X, '.. test output of DGEBAL .. ' )
122 *
123 WRITE( NOUT, FMT = 9998 )RMAX
124 9998 FORMAT( 1X, 'value of largest test error = ', D12.3 )
125 WRITE( NOUT, FMT = 9997 )LMAX( 1 )
126 9997 FORMAT( 1X, 'example number where info is not zero = ', I4 )
127 WRITE( NOUT, FMT = 9996 )LMAX( 2 )
128 9996 FORMAT( 1X, 'example number where ILO or IHI wrong = ', I4 )
129 WRITE( NOUT, FMT = 9995 )LMAX( 3 )
130 9995 FORMAT( 1X, 'example number having largest error = ', I4 )
131 WRITE( NOUT, FMT = 9994 )NINFO
132 9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 )
133 WRITE( NOUT, FMT = 9993 )KNT
134 9993 FORMAT( 1X, 'total number of examples tested = ', I4 )
135 *
136 RETURN
137 *
138 * End of DCHKBL
139 *
140 END