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
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
|
*> \brief \b SCHKEC
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE SCHKEC( THRESH, TSTERR, NIN, NOUT )
*
* .. Scalar Arguments ..
* LOGICAL TSTERR
* INTEGER NIN, NOUT
* REAL THRESH
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> SCHKEC tests eigen- condition estimation routines
*> SLALN2, SLASY2, SLANV2, SLAQTR, SLAEXC,
*> STRSYL, STREXC, STRSNA, STRSEN
*>
*> In all cases, the routine runs through a fixed set of numerical
*> examples, subjects them to various tests, and compares the test
*> results to a threshold THRESH. In addition, STREXC, STRSNA and STRSEN
*> are tested by reading in precomputed examples from a file (on input
*> unit NIN). Output is written to output unit NOUT.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] THRESH
*> \verbatim
*> THRESH is REAL
*> Threshold for residual tests. A computed test ratio passes
*> the threshold if it is less than THRESH.
*> \endverbatim
*>
*> \param[in] TSTERR
*> \verbatim
*> TSTERR is LOGICAL
*> Flag that indicates whether error exits are to be tested.
*> \endverbatim
*>
*> \param[in] NIN
*> \verbatim
*> NIN is INTEGER
*> The logical unit number for input.
*> \endverbatim
*>
*> \param[in] NOUT
*> \verbatim
*> NOUT is INTEGER
*> The logical unit number for output.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date November 2011
*
*> \ingroup single_eig
*
* =====================================================================
SUBROUTINE SCHKEC( THRESH, TSTERR, 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 ..
LOGICAL TSTERR
INTEGER NIN, NOUT
REAL THRESH
* ..
*
* =====================================================================
*
* .. Local Scalars ..
LOGICAL OK
CHARACTER*3 PATH
INTEGER KLAEXC, KLALN2, KLANV2, KLAQTR, KLASY2, KTREXC,
$ KTRSEN, KTRSNA, KTRSYL, LLAEXC, LLALN2, LLANV2,
$ LLAQTR, LLASY2, LTREXC, LTRSYL, NLANV2, NLAQTR,
$ NLASY2, NTESTS, NTRSYL
REAL EPS, RLAEXC, RLALN2, RLANV2, RLAQTR, RLASY2,
$ RTREXC, RTRSYL, SFMIN
* ..
* .. Local Arrays ..
INTEGER LTRSEN( 3 ), LTRSNA( 3 ), NLAEXC( 2 ),
$ NLALN2( 2 ), NTREXC( 3 ), NTRSEN( 3 ),
$ NTRSNA( 3 )
REAL RTRSEN( 3 ), RTRSNA( 3 )
* ..
* .. External Subroutines ..
EXTERNAL SERREC, SGET31, SGET32, SGET33, SGET34, SGET35,
$ SGET36, SGET37, SGET38, SGET39
* ..
* .. External Functions ..
REAL SLAMCH
EXTERNAL SLAMCH
* ..
* .. Executable Statements ..
*
PATH( 1: 1 ) = 'Single precision'
PATH( 2: 3 ) = 'EC'
EPS = SLAMCH( 'P' )
SFMIN = SLAMCH( 'S' )
*
* Print header information
*
WRITE( NOUT, FMT = 9989 )
WRITE( NOUT, FMT = 9988 )EPS, SFMIN
WRITE( NOUT, FMT = 9987 )THRESH
*
* Test error exits if TSTERR is .TRUE.
*
IF( TSTERR )
$ CALL SERREC( PATH, NOUT )
*
OK = .TRUE.
CALL SGET31( RLALN2, LLALN2, NLALN2, KLALN2 )
IF( RLALN2.GT.THRESH .OR. NLALN2( 1 ).NE.0 ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9999 )RLALN2, LLALN2, NLALN2, KLALN2
END IF
*
CALL SGET32( RLASY2, LLASY2, NLASY2, KLASY2 )
IF( RLASY2.GT.THRESH ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9998 )RLASY2, LLASY2, NLASY2, KLASY2
END IF
*
CALL SGET33( RLANV2, LLANV2, NLANV2, KLANV2 )
IF( RLANV2.GT.THRESH .OR. NLANV2.NE.0 ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9997 )RLANV2, LLANV2, NLANV2, KLANV2
END IF
*
CALL SGET34( RLAEXC, LLAEXC, NLAEXC, KLAEXC )
IF( RLAEXC.GT.THRESH .OR. NLAEXC( 2 ).NE.0 ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9996 )RLAEXC, LLAEXC, NLAEXC, KLAEXC
END IF
*
CALL SGET35( RTRSYL, LTRSYL, NTRSYL, KTRSYL )
IF( RTRSYL.GT.THRESH ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9995 )RTRSYL, LTRSYL, NTRSYL, KTRSYL
END IF
*
CALL SGET36( RTREXC, LTREXC, NTREXC, KTREXC, NIN )
IF( RTREXC.GT.THRESH .OR. NTREXC( 3 ).GT.0 ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9994 )RTREXC, LTREXC, NTREXC, KTREXC
END IF
*
CALL SGET37( RTRSNA, LTRSNA, NTRSNA, KTRSNA, NIN )
IF( RTRSNA( 1 ).GT.THRESH .OR. RTRSNA( 2 ).GT.THRESH .OR.
$ NTRSNA( 1 ).NE.0 .OR. NTRSNA( 2 ).NE.0 .OR. NTRSNA( 3 ).NE.0 )
$ THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9993 )RTRSNA, LTRSNA, NTRSNA, KTRSNA
END IF
*
CALL SGET38( RTRSEN, LTRSEN, NTRSEN, KTRSEN, NIN )
IF( RTRSEN( 1 ).GT.THRESH .OR. RTRSEN( 2 ).GT.THRESH .OR.
$ NTRSEN( 1 ).NE.0 .OR. NTRSEN( 2 ).NE.0 .OR. NTRSEN( 3 ).NE.0 )
$ THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9992 )RTRSEN, LTRSEN, NTRSEN, KTRSEN
END IF
*
CALL SGET39( RLAQTR, LLAQTR, NLAQTR, KLAQTR )
IF( RLAQTR.GT.THRESH ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9991 )RLAQTR, LLAQTR, NLAQTR, KLAQTR
END IF
*
NTESTS = KLALN2 + KLASY2 + KLANV2 + KLAEXC + KTRSYL + KTREXC +
$ KTRSNA + KTRSEN + KLAQTR
IF( OK )
$ WRITE( NOUT, FMT = 9990 )PATH, NTESTS
*
RETURN
9999 FORMAT( ' Error in SLALN2: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', 2I8, ' KNT=', I8 )
9998 FORMAT( ' Error in SLASY2: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', I8, ' KNT=', I8 )
9997 FORMAT( ' Error in SLANV2: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', I8, ' KNT=', I8 )
9996 FORMAT( ' Error in SLAEXC: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', 2I8, ' KNT=', I8 )
9995 FORMAT( ' Error in STRSYL: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', I8, ' KNT=', I8 )
9994 FORMAT( ' Error in STREXC: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', 3I8, ' KNT=', I8 )
9993 FORMAT( ' Error in STRSNA: RMAX =', 3E12.3, / ' LMAX = ', 3I8,
$ ' NINFO=', 3I8, ' KNT=', I8 )
9992 FORMAT( ' Error in STRSEN: RMAX =', 3E12.3, / ' LMAX = ', 3I8,
$ ' NINFO=', 3I8, ' KNT=', I8 )
9991 FORMAT( ' Error in SLAQTR: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', I8, ' KNT=', I8 )
9990 FORMAT( / 1X, 'All tests for ', A3, ' routines passed the thresh',
$ 'old ( ', I6, ' tests run)' )
9989 FORMAT( ' Tests of the Nonsymmetric eigenproblem condition estim',
$ 'ation routines', / ' SLALN2, SLASY2, SLANV2, SLAEXC, STRS',
$ 'YL, STREXC, STRSNA, STRSEN, SLAQTR', / )
9988 FORMAT( ' Relative machine precision (EPS) = ', E16.6, / ' Safe ',
$ 'minimum (SFMIN) = ', E16.6, / )
9987 FORMAT( ' Routines pass computational tests if test ratio is les',
$ 's than', F8.2, / / )
*
* End of SCHKEC
*
END
|
