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
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
|
*> \brief \b SCHKRFP
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* PROGRAM SCHKRFP
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> SCHKRFP is the main test program for the REAL linear
*> equation routines with RFP storage format
*>
*> \endverbatim
*
* Arguments:
* ==========
*
*> \verbatim
*> MAXIN INTEGER
*> The number of different values that can be used for each of
*> M, N, or NB
*>
*> MAXRHS INTEGER
*> The maximum number of right hand sides
*>
*> NTYPES INTEGER
*>
*> NMAX INTEGER
*> The maximum allowable value for N.
*>
*> NIN INTEGER
*> The unit number for input
*>
*> NOUT INTEGER
*> The unit number for output
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date April 2012
*
*> \ingroup single_lin
*
* =====================================================================
PROGRAM SCHKRFP
*
* -- LAPACK test routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* April 2012
*
* =====================================================================
*
* .. Parameters ..
INTEGER MAXIN
PARAMETER ( MAXIN = 12 )
INTEGER NMAX
PARAMETER ( NMAX = 50 )
INTEGER MAXRHS
PARAMETER ( MAXRHS = 16 )
INTEGER NTYPES
PARAMETER ( NTYPES = 9 )
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
* ..
* .. Local Scalars ..
LOGICAL FATAL, TSTERR
INTEGER VERS_MAJOR, VERS_MINOR, VERS_PATCH
INTEGER I, NN, NNS, NNT
REAL EPS, S1, S2, THRESH
* ..
* .. Local Arrays ..
INTEGER NVAL( MAXIN ), NSVAL( MAXIN ), NTVAL( NTYPES )
REAL WORKA( NMAX, NMAX )
REAL WORKASAV( NMAX, NMAX )
REAL WORKB( NMAX, MAXRHS )
REAL WORKXACT( NMAX, MAXRHS )
REAL WORKBSAV( NMAX, MAXRHS )
REAL WORKX( NMAX, MAXRHS )
REAL WORKAFAC( NMAX, NMAX )
REAL WORKAINV( NMAX, NMAX )
REAL WORKARF( (NMAX*(NMAX+1))/2 )
REAL WORKAP( (NMAX*(NMAX+1))/2 )
REAL WORKARFINV( (NMAX*(NMAX+1))/2 )
REAL S_WORK_SLATMS( 3 * NMAX )
REAL S_WORK_SPOT01( NMAX )
REAL S_TEMP_SPOT02( NMAX, MAXRHS )
REAL S_TEMP_SPOT03( NMAX, NMAX )
REAL S_WORK_SLANSY( NMAX )
REAL S_WORK_SPOT02( NMAX )
REAL S_WORK_SPOT03( NMAX )
* ..
* .. External Functions ..
REAL SLAMCH, SECOND
EXTERNAL SLAMCH, SECOND
* ..
* .. External Subroutines ..
EXTERNAL ILAVER, SDRVRFP, SDRVRF1, SDRVRF2, SDRVRF3,
+ SDRVRF4
* ..
* .. Executable Statements ..
*
S1 = SECOND( )
FATAL = .FALSE.
*
* Read a dummy line.
*
READ( NIN, FMT = * )
*
* Report LAPACK version tag (e.g. LAPACK-3.2.0)
*
CALL ILAVER( VERS_MAJOR, VERS_MINOR, VERS_PATCH )
WRITE( NOUT, FMT = 9994 ) VERS_MAJOR, VERS_MINOR, VERS_PATCH
*
* Read the values of N
*
READ( NIN, FMT = * )NN
IF( NN.LT.1 ) THEN
WRITE( NOUT, FMT = 9996 )' NN ', NN, 1
NN = 0
FATAL = .TRUE.
ELSE IF( NN.GT.MAXIN ) THEN
WRITE( NOUT, FMT = 9995 )' NN ', NN, MAXIN
NN = 0
FATAL = .TRUE.
END IF
READ( NIN, FMT = * )( NVAL( I ), I = 1, NN )
DO 10 I = 1, NN
IF( NVAL( I ).LT.0 ) THEN
WRITE( NOUT, FMT = 9996 )' M ', NVAL( I ), 0
FATAL = .TRUE.
ELSE IF( NVAL( I ).GT.NMAX ) THEN
WRITE( NOUT, FMT = 9995 )' M ', NVAL( I ), NMAX
FATAL = .TRUE.
END IF
10 CONTINUE
IF( NN.GT.0 )
$ WRITE( NOUT, FMT = 9993 )'N ', ( NVAL( I ), I = 1, NN )
*
* Read the values of NRHS
*
READ( NIN, FMT = * )NNS
IF( NNS.LT.1 ) THEN
WRITE( NOUT, FMT = 9996 )' NNS', NNS, 1
NNS = 0
FATAL = .TRUE.
ELSE IF( NNS.GT.MAXIN ) THEN
WRITE( NOUT, FMT = 9995 )' NNS', NNS, MAXIN
NNS = 0
FATAL = .TRUE.
END IF
READ( NIN, FMT = * )( NSVAL( I ), I = 1, NNS )
DO 30 I = 1, NNS
IF( NSVAL( I ).LT.0 ) THEN
WRITE( NOUT, FMT = 9996 )'NRHS', NSVAL( I ), 0
FATAL = .TRUE.
ELSE IF( NSVAL( I ).GT.MAXRHS ) THEN
WRITE( NOUT, FMT = 9995 )'NRHS', NSVAL( I ), MAXRHS
FATAL = .TRUE.
END IF
30 CONTINUE
IF( NNS.GT.0 )
$ WRITE( NOUT, FMT = 9993 )'NRHS', ( NSVAL( I ), I = 1, NNS )
*
* Read the matrix types
*
READ( NIN, FMT = * )NNT
IF( NNT.LT.1 ) THEN
WRITE( NOUT, FMT = 9996 )' NMA', NNT, 1
NNT = 0
FATAL = .TRUE.
ELSE IF( NNT.GT.NTYPES ) THEN
WRITE( NOUT, FMT = 9995 )' NMA', NNT, NTYPES
NNT = 0
FATAL = .TRUE.
END IF
READ( NIN, FMT = * )( NTVAL( I ), I = 1, NNT )
DO 320 I = 1, NNT
IF( NTVAL( I ).LT.0 ) THEN
WRITE( NOUT, FMT = 9996 )'TYPE', NTVAL( I ), 0
FATAL = .TRUE.
ELSE IF( NTVAL( I ).GT.NTYPES ) THEN
WRITE( NOUT, FMT = 9995 )'TYPE', NTVAL( I ), NTYPES
FATAL = .TRUE.
END IF
320 CONTINUE
IF( NNT.GT.0 )
$ WRITE( NOUT, FMT = 9993 )'TYPE', ( NTVAL( I ), I = 1, NNT )
*
* Read the threshold value for the test ratios.
*
READ( NIN, FMT = * )THRESH
WRITE( NOUT, FMT = 9992 )THRESH
*
* Read the flag that indicates whether to test the error exits.
*
READ( NIN, FMT = * )TSTERR
*
IF( FATAL ) THEN
WRITE( NOUT, FMT = 9999 )
STOP
END IF
*
IF( FATAL ) THEN
WRITE( NOUT, FMT = 9999 )
STOP
END IF
*
* Calculate and print the machine dependent constants.
*
EPS = SLAMCH( 'Underflow threshold' )
WRITE( NOUT, FMT = 9991 )'underflow', EPS
EPS = SLAMCH( 'Overflow threshold' )
WRITE( NOUT, FMT = 9991 )'overflow ', EPS
EPS = SLAMCH( 'Epsilon' )
WRITE( NOUT, FMT = 9991 )'precision', EPS
WRITE( NOUT, FMT = * )
*
* Test the error exit of:
*
IF( TSTERR )
$ CALL SERRRFP( NOUT )
*
* Test the routines: spftrf, spftri, spftrs (as in SDRVPO).
* This also tests the routines: stfsm, stftri, stfttr, strttf.
*
CALL SDRVRFP( NOUT, NN, NVAL, NNS, NSVAL, NNT, NTVAL, THRESH,
$ WORKA, WORKASAV, WORKAFAC, WORKAINV, WORKB,
$ WORKBSAV, WORKXACT, WORKX, WORKARF, WORKARFINV,
$ S_WORK_SLATMS, S_WORK_SPOT01, S_TEMP_SPOT02,
$ S_TEMP_SPOT03, S_WORK_SLANSY, S_WORK_SPOT02,
$ S_WORK_SPOT03 )
*
* Test the routine: slansf
*
CALL SDRVRF1( NOUT, NN, NVAL, THRESH, WORKA, NMAX, WORKARF,
+ S_WORK_SLANSY )
*
* Test the conversion routines:
* stfttp, stpttf, stfttr, strttf, strttp and stpttr.
*
CALL SDRVRF2( NOUT, NN, NVAL, WORKA, NMAX, WORKARF,
+ WORKAP, WORKASAV )
*
* Test the routine: stfsm
*
CALL SDRVRF3( NOUT, NN, NVAL, THRESH, WORKA, NMAX, WORKARF,
+ WORKAINV, WORKAFAC, S_WORK_SLANSY,
+ S_WORK_SPOT03, S_WORK_SPOT01 )
*
*
* Test the routine: ssfrk
*
CALL SDRVRF4( NOUT, NN, NVAL, THRESH, WORKA, WORKAFAC, NMAX,
+ WORKARF, WORKAINV, NMAX, S_WORK_SLANSY)
*
CLOSE ( NIN )
S2 = SECOND( )
WRITE( NOUT, FMT = 9998 )
WRITE( NOUT, FMT = 9997 )S2 - S1
*
9999 FORMAT( / ' Execution not attempted due to input errors' )
9998 FORMAT( / ' End of tests' )
9997 FORMAT( ' Total time used = ', F12.2, ' seconds', / )
9996 FORMAT( ' !! Invalid input value: ', A4, '=', I6, '; must be >=',
$ I6 )
9995 FORMAT( ' !! Invalid input value: ', A4, '=', I6, '; must be <=',
$ I6 )
9994 FORMAT( / ' Tests of the REAL LAPACK RFP routines ',
$ / ' LAPACK VERSION ', I1, '.', I1, '.', I1,
$ / / ' The following parameter values will be used:' )
9993 FORMAT( 4X, A4, ': ', 10I6, / 11X, 10I6 )
9992 FORMAT( / ' Routines pass computational tests if test ratio is ',
$ 'less than', F8.2, / )
9991 FORMAT( ' Relative machine ', A, ' is taken to be', D16.6 )
*
* End of SCHKRFP
*
END
|
