1 SUBROUTINE ZCHKGL( 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 * ZCHKGL tests ZGGBAL, a routine for balancing a matrix pair (A, B).
15 *
16 * Arguments
17 * =========
18 *
19 * NIN (input) INTEGER
20 * The logical unit number for input. NIN > 0.
21 *
22 * NOUT (input) INTEGER
23 * The logical unit number for output. NOUT > 0.
24 *
25 * =====================================================================
26 *
27 * .. Parameters ..
28 INTEGER LDA, LDB, LWORK
29 PARAMETER ( LDA = 20, LDB = 20, LWORK = 6*LDA )
30 DOUBLE PRECISION ZERO
31 PARAMETER ( ZERO = 0.0D+0 )
32 * ..
33 * .. Local Scalars ..
34 INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
35 $ NINFO
36 DOUBLE PRECISION ANORM, BNORM, EPS, RMAX, VMAX
37 * ..
38 * .. Local Arrays ..
39 INTEGER LMAX( 3 )
40 DOUBLE PRECISION LSCALE( LDA ), LSCLIN( LDA ), RSCALE( LDA ),
41 $ RSCLIN( LDA ), WORK( LWORK )
42 COMPLEX*16 A( LDA, LDA ), AIN( LDA, LDA ), B( LDB, LDB ),
43 $ BIN( LDB, LDB )
44 * ..
45 * .. External Functions ..
46 DOUBLE PRECISION DLAMCH, ZLANGE
47 EXTERNAL DLAMCH, ZLANGE
48 * ..
49 * .. External Subroutines ..
50 EXTERNAL ZGGBAL
51 * ..
52 * .. Intrinsic Functions ..
53 INTRINSIC ABS, MAX
54 * ..
55 * .. Executable Statements ..
56 *
57 LMAX( 1 ) = 0
58 LMAX( 2 ) = 0
59 LMAX( 3 ) = 0
60 NINFO = 0
61 KNT = 0
62 RMAX = ZERO
63 *
64 EPS = DLAMCH( 'Precision' )
65 *
66 10 CONTINUE
67 *
68 READ( NIN, FMT = * )N
69 IF( N.EQ.0 )
70 $ GO TO 90
71 DO 20 I = 1, N
72 READ( NIN, FMT = * )( A( I, J ), J = 1, N )
73 20 CONTINUE
74 *
75 DO 30 I = 1, N
76 READ( NIN, FMT = * )( B( I, J ), J = 1, N )
77 30 CONTINUE
78 *
79 READ( NIN, FMT = * )ILOIN, IHIIN
80 DO 40 I = 1, N
81 READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
82 40 CONTINUE
83 DO 50 I = 1, N
84 READ( NIN, FMT = * )( BIN( I, J ), J = 1, N )
85 50 CONTINUE
86 *
87 READ( NIN, FMT = * )( LSCLIN( I ), I = 1, N )
88 READ( NIN, FMT = * )( RSCLIN( I ), I = 1, N )
89 *
90 ANORM = ZLANGE( 'M', N, N, A, LDA, WORK )
91 BNORM = ZLANGE( 'M', N, N, B, LDB, WORK )
92 *
93 KNT = KNT + 1
94 *
95 CALL ZGGBAL( 'B', N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE,
96 $ WORK, INFO )
97 *
98 IF( INFO.NE.0 ) THEN
99 NINFO = NINFO + 1
100 LMAX( 1 ) = KNT
101 END IF
102 *
103 IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
104 NINFO = NINFO + 1
105 LMAX( 2 ) = KNT
106 END IF
107 *
108 VMAX = ZERO
109 DO 70 I = 1, N
110 DO 60 J = 1, N
111 VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) )
112 VMAX = MAX( VMAX, ABS( B( I, J )-BIN( I, J ) ) )
113 60 CONTINUE
114 70 CONTINUE
115 *
116 DO 80 I = 1, N
117 VMAX = MAX( VMAX, ABS( LSCALE( I )-LSCLIN( I ) ) )
118 VMAX = MAX( VMAX, ABS( RSCALE( I )-RSCLIN( I ) ) )
119 80 CONTINUE
120 *
121 VMAX = VMAX / ( EPS*MAX( ANORM, BNORM ) )
122 *
123 IF( VMAX.GT.RMAX ) THEN
124 LMAX( 3 ) = KNT
125 RMAX = VMAX
126 END IF
127 *
128 GO TO 10
129 *
130 90 CONTINUE
131 *
132 WRITE( NOUT, FMT = 9999 )
133 9999 FORMAT( ' .. test output of ZGGBAL .. ' )
134 *
135 WRITE( NOUT, FMT = 9998 )RMAX
136 9998 FORMAT( ' ratio of largest test error = ', D12.3 )
137 WRITE( NOUT, FMT = 9997 )LMAX( 1 )
138 9997 FORMAT( ' example number where info is not zero = ', I4 )
139 WRITE( NOUT, FMT = 9996 )LMAX( 2 )
140 9996 FORMAT( ' example number where ILO or IHI is wrong = ', I4 )
141 WRITE( NOUT, FMT = 9995 )LMAX( 3 )
142 9995 FORMAT( ' example number having largest error = ', I4 )
143 WRITE( NOUT, FMT = 9994 )NINFO
144 9994 FORMAT( ' number of examples where info is not 0 = ', I4 )
145 WRITE( NOUT, FMT = 9993 )KNT
146 9993 FORMAT( ' total number of examples tested = ', I4 )
147 *
148 RETURN
149 *
150 * End of ZCHKGL
151 *
152 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 * ZCHKGL tests ZGGBAL, a routine for balancing a matrix pair (A, B).
15 *
16 * Arguments
17 * =========
18 *
19 * NIN (input) INTEGER
20 * The logical unit number for input. NIN > 0.
21 *
22 * NOUT (input) INTEGER
23 * The logical unit number for output. NOUT > 0.
24 *
25 * =====================================================================
26 *
27 * .. Parameters ..
28 INTEGER LDA, LDB, LWORK
29 PARAMETER ( LDA = 20, LDB = 20, LWORK = 6*LDA )
30 DOUBLE PRECISION ZERO
31 PARAMETER ( ZERO = 0.0D+0 )
32 * ..
33 * .. Local Scalars ..
34 INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
35 $ NINFO
36 DOUBLE PRECISION ANORM, BNORM, EPS, RMAX, VMAX
37 * ..
38 * .. Local Arrays ..
39 INTEGER LMAX( 3 )
40 DOUBLE PRECISION LSCALE( LDA ), LSCLIN( LDA ), RSCALE( LDA ),
41 $ RSCLIN( LDA ), WORK( LWORK )
42 COMPLEX*16 A( LDA, LDA ), AIN( LDA, LDA ), B( LDB, LDB ),
43 $ BIN( LDB, LDB )
44 * ..
45 * .. External Functions ..
46 DOUBLE PRECISION DLAMCH, ZLANGE
47 EXTERNAL DLAMCH, ZLANGE
48 * ..
49 * .. External Subroutines ..
50 EXTERNAL ZGGBAL
51 * ..
52 * .. Intrinsic Functions ..
53 INTRINSIC ABS, MAX
54 * ..
55 * .. Executable Statements ..
56 *
57 LMAX( 1 ) = 0
58 LMAX( 2 ) = 0
59 LMAX( 3 ) = 0
60 NINFO = 0
61 KNT = 0
62 RMAX = ZERO
63 *
64 EPS = DLAMCH( 'Precision' )
65 *
66 10 CONTINUE
67 *
68 READ( NIN, FMT = * )N
69 IF( N.EQ.0 )
70 $ GO TO 90
71 DO 20 I = 1, N
72 READ( NIN, FMT = * )( A( I, J ), J = 1, N )
73 20 CONTINUE
74 *
75 DO 30 I = 1, N
76 READ( NIN, FMT = * )( B( I, J ), J = 1, N )
77 30 CONTINUE
78 *
79 READ( NIN, FMT = * )ILOIN, IHIIN
80 DO 40 I = 1, N
81 READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
82 40 CONTINUE
83 DO 50 I = 1, N
84 READ( NIN, FMT = * )( BIN( I, J ), J = 1, N )
85 50 CONTINUE
86 *
87 READ( NIN, FMT = * )( LSCLIN( I ), I = 1, N )
88 READ( NIN, FMT = * )( RSCLIN( I ), I = 1, N )
89 *
90 ANORM = ZLANGE( 'M', N, N, A, LDA, WORK )
91 BNORM = ZLANGE( 'M', N, N, B, LDB, WORK )
92 *
93 KNT = KNT + 1
94 *
95 CALL ZGGBAL( 'B', N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE,
96 $ WORK, INFO )
97 *
98 IF( INFO.NE.0 ) THEN
99 NINFO = NINFO + 1
100 LMAX( 1 ) = KNT
101 END IF
102 *
103 IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
104 NINFO = NINFO + 1
105 LMAX( 2 ) = KNT
106 END IF
107 *
108 VMAX = ZERO
109 DO 70 I = 1, N
110 DO 60 J = 1, N
111 VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) )
112 VMAX = MAX( VMAX, ABS( B( I, J )-BIN( I, J ) ) )
113 60 CONTINUE
114 70 CONTINUE
115 *
116 DO 80 I = 1, N
117 VMAX = MAX( VMAX, ABS( LSCALE( I )-LSCLIN( I ) ) )
118 VMAX = MAX( VMAX, ABS( RSCALE( I )-RSCLIN( I ) ) )
119 80 CONTINUE
120 *
121 VMAX = VMAX / ( EPS*MAX( ANORM, BNORM ) )
122 *
123 IF( VMAX.GT.RMAX ) THEN
124 LMAX( 3 ) = KNT
125 RMAX = VMAX
126 END IF
127 *
128 GO TO 10
129 *
130 90 CONTINUE
131 *
132 WRITE( NOUT, FMT = 9999 )
133 9999 FORMAT( ' .. test output of ZGGBAL .. ' )
134 *
135 WRITE( NOUT, FMT = 9998 )RMAX
136 9998 FORMAT( ' ratio of largest test error = ', D12.3 )
137 WRITE( NOUT, FMT = 9997 )LMAX( 1 )
138 9997 FORMAT( ' example number where info is not zero = ', I4 )
139 WRITE( NOUT, FMT = 9996 )LMAX( 2 )
140 9996 FORMAT( ' example number where ILO or IHI is wrong = ', I4 )
141 WRITE( NOUT, FMT = 9995 )LMAX( 3 )
142 9995 FORMAT( ' example number having largest error = ', I4 )
143 WRITE( NOUT, FMT = 9994 )NINFO
144 9994 FORMAT( ' number of examples where info is not 0 = ', I4 )
145 WRITE( NOUT, FMT = 9993 )KNT
146 9993 FORMAT( ' total number of examples tested = ', I4 )
147 *
148 RETURN
149 *
150 * End of ZCHKGL
151 *
152 END