1 PROGRAM CBLAT2
2 *
3 * Test program for the COMPLEX Level 2 Blas.
4 *
5 * The program must be driven by a short data file. The first 17 records
6 * of the file are read using list-directed input, the last 17 records
7 * are read using the format ( A12, L2 ). An annotated example of a data
8 * file can be obtained by deleting the first 3 characters from the
9 * following 34 lines:
10 * 'CBLAT2.SNAP' NAME OF SNAPSHOT OUTPUT FILE
11 * -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0)
12 * F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD.
13 * F LOGICAL FLAG, T TO STOP ON FAILURES.
14 * T LOGICAL FLAG, T TO TEST ERROR EXITS.
15 * 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH
16 * 16.0 THRESHOLD VALUE OF TEST RATIO
17 * 6 NUMBER OF VALUES OF N
18 * 0 1 2 3 5 9 VALUES OF N
19 * 4 NUMBER OF VALUES OF K
20 * 0 1 2 4 VALUES OF K
21 * 4 NUMBER OF VALUES OF INCX AND INCY
22 * 1 2 -1 -2 VALUES OF INCX AND INCY
23 * 3 NUMBER OF VALUES OF ALPHA
24 * (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA
25 * 3 NUMBER OF VALUES OF BETA
26 * (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA
27 * cblas_cgemv T PUT F FOR NO TEST. SAME COLUMNS.
28 * cblas_cgbmv T PUT F FOR NO TEST. SAME COLUMNS.
29 * cblas_chemv T PUT F FOR NO TEST. SAME COLUMNS.
30 * cblas_chbmv T PUT F FOR NO TEST. SAME COLUMNS.
31 * cblas_chpmv T PUT F FOR NO TEST. SAME COLUMNS.
32 * cblas_ctrmv T PUT F FOR NO TEST. SAME COLUMNS.
33 * cblas_ctbmv T PUT F FOR NO TEST. SAME COLUMNS.
34 * cblas_ctpmv T PUT F FOR NO TEST. SAME COLUMNS.
35 * cblas_ctrsv T PUT F FOR NO TEST. SAME COLUMNS.
36 * cblas_ctbsv T PUT F FOR NO TEST. SAME COLUMNS.
37 * cblas_ctpsv T PUT F FOR NO TEST. SAME COLUMNS.
38 * cblas_cgerc T PUT F FOR NO TEST. SAME COLUMNS.
39 * cblas_cgeru T PUT F FOR NO TEST. SAME COLUMNS.
40 * cblas_cher T PUT F FOR NO TEST. SAME COLUMNS.
41 * cblas_chpr T PUT F FOR NO TEST. SAME COLUMNS.
42 * cblas_cher2 T PUT F FOR NO TEST. SAME COLUMNS.
43 * cblas_chpr2 T PUT F FOR NO TEST. SAME COLUMNS.
44 *
45 * See:
46 *
47 * Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
48 * An extended set of Fortran Basic Linear Algebra Subprograms.
49 *
50 * Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
51 * and Computer Science Division, Argonne National Laboratory,
52 * 9700 South Cass Avenue, Argonne, Illinois 60439, US.
53 *
54 * Or
55 *
56 * NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
57 * Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
58 * OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
59 * Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
60 *
61 *
62 * -- Written on 10-August-1987.
63 * Richard Hanson, Sandia National Labs.
64 * Jeremy Du Croz, NAG Central Office.
65 *
66 * .. Parameters ..
67 INTEGER NIN, NOUT
68 PARAMETER ( NIN = 5, NOUT = 6 )
69 INTEGER NSUBS
70 PARAMETER ( NSUBS = 17 )
71 COMPLEX ZERO, ONE
72 PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) )
73 REAL RZERO, RHALF, RONE
74 PARAMETER ( RZERO = 0.0, RHALF = 0.5, RONE = 1.0 )
75 INTEGER NMAX, INCMAX
76 PARAMETER ( NMAX = 65, INCMAX = 2 )
77 INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
78 PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
79 $ NALMAX = 7, NBEMAX = 7 )
80 * .. Local Scalars ..
81 REAL EPS, ERR, THRESH
82 INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
83 $ NTRA, LAYOUT
84 LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
85 $ TSTERR, CORDER, RORDER
86 CHARACTER*1 TRANS
87 CHARACTER*12 SNAMET
88 CHARACTER*32 SNAPS
89 * .. Local Arrays ..
90 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ),
91 $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
92 $ X( NMAX ), XS( NMAX*INCMAX ),
93 $ XX( NMAX*INCMAX ), Y( NMAX ),
94 $ YS( NMAX*INCMAX ), YT( NMAX ),
95 $ YY( NMAX*INCMAX ), Z( 2*NMAX )
96 REAL G( NMAX )
97 INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
98 LOGICAL LTEST( NSUBS )
99 CHARACTER*12 SNAMES( NSUBS )
100 * .. External Functions ..
101 REAL SDIFF
102 LOGICAL LCE
103 EXTERNAL SDIFF, LCE
104 * .. External Subroutines ..
105 EXTERNAL CCHK1, CCHK2, CCHK3, CCHK4, CCHK5, CCHK6,
106 $ CC2CHKE, CMVCH
107 * .. Intrinsic Functions ..
108 INTRINSIC ABS, MAX, MIN
109 * .. Scalars in Common ..
110 INTEGER INFOT, NOUTC
111 LOGICAL OK
112 CHARACTER*12 SRNAMT
113 * .. Common blocks ..
114 COMMON /INFOC/INFOT, NOUTC, OK
115 COMMON /SRNAMC/SRNAMT
116 * .. Data statements ..
117 DATA SNAMES/'cblas_cgemv ', 'cblas_cgbmv ',
118 $ 'cblas_chemv ','cblas_chbmv ','cblas_chpmv ',
119 $ 'cblas_ctrmv ','cblas_ctbmv ','cblas_ctpmv ',
120 $ 'cblas_ctrsv ','cblas_ctbsv ','cblas_ctpsv ',
121 $ 'cblas_cgerc ','cblas_cgeru ','cblas_cher ',
122 $ 'cblas_chpr ','cblas_cher2 ','cblas_chpr2 '/
123 * .. Executable Statements ..
124 *
125 NOUTC = NOUT
126 *
127 * Read name and unit number for summary output file and open file.
128 *
129 READ( NIN, FMT = * )SNAPS
130 READ( NIN, FMT = * )NTRA
131 TRACE = NTRA.GE.0
132 IF( TRACE )THEN
133 OPEN( NTRA, FILE = SNAPS )
134 END IF
135 * Read the flag that directs rewinding of the snapshot file.
136 READ( NIN, FMT = * )REWI
137 REWI = REWI.AND.TRACE
138 * Read the flag that directs stopping on any failure.
139 READ( NIN, FMT = * )SFATAL
140 * Read the flag that indicates whether error exits are to be tested.
141 READ( NIN, FMT = * )TSTERR
142 * Read the flag that indicates whether row-major data layout to be tested.
143 READ( NIN, FMT = * )LAYOUT
144 * Read the threshold value of the test ratio
145 READ( NIN, FMT = * )THRESH
146 *
147 * Read and check the parameter values for the tests.
148 *
149 * Values of N
150 READ( NIN, FMT = * )NIDIM
151 IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
152 WRITE( NOUT, FMT = 9997 )'N', NIDMAX
153 GO TO 230
154 END IF
155 READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
156 DO 10 I = 1, NIDIM
157 IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
158 WRITE( NOUT, FMT = 9996 )NMAX
159 GO TO 230
160 END IF
161 10 CONTINUE
162 * Values of K
163 READ( NIN, FMT = * )NKB
164 IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
165 WRITE( NOUT, FMT = 9997 )'K', NKBMAX
166 GO TO 230
167 END IF
168 READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
169 DO 20 I = 1, NKB
170 IF( KB( I ).LT.0 )THEN
171 WRITE( NOUT, FMT = 9995 )
172 GO TO 230
173 END IF
174 20 CONTINUE
175 * Values of INCX and INCY
176 READ( NIN, FMT = * )NINC
177 IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN
178 WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX
179 GO TO 230
180 END IF
181 READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
182 DO 30 I = 1, NINC
183 IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
184 WRITE( NOUT, FMT = 9994 )INCMAX
185 GO TO 230
186 END IF
187 30 CONTINUE
188 * Values of ALPHA
189 READ( NIN, FMT = * )NALF
190 IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
191 WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
192 GO TO 230
193 END IF
194 READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
195 * Values of BETA
196 READ( NIN, FMT = * )NBET
197 IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
198 WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
199 GO TO 230
200 END IF
201 READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
202 *
203 * Report values of parameters.
204 *
205 WRITE( NOUT, FMT = 9993 )
206 WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
207 WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB )
208 WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC )
209 WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF )
210 WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET )
211 IF( .NOT.TSTERR )THEN
212 WRITE( NOUT, FMT = * )
213 WRITE( NOUT, FMT = 9980 )
214 END IF
215 WRITE( NOUT, FMT = * )
216 WRITE( NOUT, FMT = 9999 )THRESH
217 WRITE( NOUT, FMT = * )
218
219 RORDER = .FALSE.
220 CORDER = .FALSE.
221 IF (LAYOUT.EQ.2) THEN
222 RORDER = .TRUE.
223 CORDER = .TRUE.
224 WRITE( *, FMT = 10002 )
225 ELSE IF (LAYOUT.EQ.1) THEN
226 RORDER = .TRUE.
227 WRITE( *, FMT = 10001 )
228 ELSE IF (LAYOUT.EQ.0) THEN
229 CORDER = .TRUE.
230 WRITE( *, FMT = 10000 )
231 END IF
232 WRITE( *, FMT = * )
233 *
234 * Read names of subroutines and flags which indicate
235 * whether they are to be tested.
236 *
237 DO 40 I = 1, NSUBS
238 LTEST( I ) = .FALSE.
239 40 CONTINUE
240 50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT
241 DO 60 I = 1, NSUBS
242 IF( SNAMET.EQ.SNAMES( I ) )
243 $ GO TO 70
244 60 CONTINUE
245 WRITE( NOUT, FMT = 9986 )SNAMET
246 STOP
247 70 LTEST( I ) = LTESTT
248 GO TO 50
249 *
250 80 CONTINUE
251 CLOSE ( NIN )
252 *
253 * Compute EPS (the machine precision).
254 *
255 EPS = RONE
256 90 CONTINUE
257 IF( SDIFF( RONE + EPS, RONE ).EQ.RZERO )
258 $ GO TO 100
259 EPS = RHALF*EPS
260 GO TO 90
261 100 CONTINUE
262 EPS = EPS + EPS
263 WRITE( NOUT, FMT = 9998 )EPS
264 *
265 * Check the reliability of CMVCH using exact data.
266 *
267 N = MIN( 32, NMAX )
268 DO 120 J = 1, N
269 DO 110 I = 1, N
270 A( I, J ) = MAX( I - J + 1, 0 )
271 110 CONTINUE
272 X( J ) = J
273 Y( J ) = ZERO
274 120 CONTINUE
275 DO 130 J = 1, N
276 YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
277 130 CONTINUE
278 * YY holds the exact result. On exit from CMVCH YT holds
279 * the result computed by CMVCH.
280 TRANS = 'N'
281 CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
282 $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
283 SAME = LCE( YY, YT, N )
284 IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
285 WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
286 STOP
287 END IF
288 TRANS = 'T'
289 CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
290 $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
291 SAME = LCE( YY, YT, N )
292 IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
293 WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
294 STOP
295 END IF
296 *
297 * Test each subroutine in turn.
298 *
299 DO 210 ISNUM = 1, NSUBS
300 WRITE( NOUT, FMT = * )
301 IF( .NOT.LTEST( ISNUM ) )THEN
302 * Subprogram is not to be tested.
303 WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM )
304 ELSE
305 SRNAMT = SNAMES( ISNUM )
306 * Test error exits.
307 IF( TSTERR )THEN
308 CALL CC2CHKE( SNAMES( ISNUM ) )
309 WRITE( NOUT, FMT = * )
310 END IF
311 * Test computations.
312 INFOT = 0
313 OK = .TRUE.
314 FATAL = .FALSE.
315 GO TO ( 140, 140, 150, 150, 150, 160, 160,
316 $ 160, 160, 160, 160, 170, 170, 180,
317 $ 180, 190, 190 )ISNUM
318 * Test CGEMV, 01, and CGBMV, 02.
319 140 IF (CORDER) THEN
320 CALL CCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
321 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
322 $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
323 $ X, XX, XS, Y, YY, YS, YT, G, 0 )
324 END IF
325 IF (RORDER) THEN
326 CALL CCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
327 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
328 $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
329 $ X, XX, XS, Y, YY, YS, YT, G, 1 )
330 END IF
331 GO TO 200
332 * Test CHEMV, 03, CHBMV, 04, and CHPMV, 05.
333 150 IF (CORDER) THEN
334 CALL CCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
335 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
336 $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
337 $ X, XX, XS, Y, YY, YS, YT, G, 0 )
338 END IF
339 IF (RORDER) THEN
340 CALL CCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
341 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
342 $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
343 $ X, XX, XS, Y, YY, YS, YT, G, 1 )
344 END IF
345 GO TO 200
346 * Test CTRMV, 06, CTBMV, 07, CTPMV, 08,
347 * CTRSV, 09, CTBSV, 10, and CTPSV, 11.
348 160 IF (CORDER) THEN
349 CALL CCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
350 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
351 $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
352 $ 0 )
353 END IF
354 IF (RORDER) THEN
355 CALL CCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
356 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
357 $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
358 $ 1 )
359 END IF
360 GO TO 200
361 * Test CGERC, 12, CGERU, 13.
362 170 IF (CORDER) THEN
363 CALL CCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
364 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
365 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
366 $ YT, G, Z, 0 )
367 END IF
368 IF (RORDER) THEN
369 CALL CCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
370 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
371 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
372 $ YT, G, Z, 1 )
373 END IF
374 GO TO 200
375 * Test CHER, 14, and CHPR, 15.
376 180 IF (CORDER) THEN
377 CALL CCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
378 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
379 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
380 $ YT, G, Z, 0 )
381 END IF
382 IF (RORDER) THEN
383 CALL CCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
384 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
385 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
386 $ YT, G, Z, 1 )
387 END IF
388 GO TO 200
389 * Test CHER2, 16, and CHPR2, 17.
390 190 IF (CORDER) THEN
391 CALL CCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
392 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
393 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
394 $ YT, G, Z, 0 )
395 END IF
396 IF (RORDER) THEN
397 CALL CCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
398 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
399 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
400 $ YT, G, Z, 1 )
401 END IF
402 *
403 200 IF( FATAL.AND.SFATAL )
404 $ GO TO 220
405 END IF
406 210 CONTINUE
407 WRITE( NOUT, FMT = 9982 )
408 GO TO 240
409 *
410 220 CONTINUE
411 WRITE( NOUT, FMT = 9981 )
412 GO TO 240
413 *
414 230 CONTINUE
415 WRITE( NOUT, FMT = 9987 )
416 *
417 240 CONTINUE
418 IF( TRACE )
419 $ CLOSE ( NTRA )
420 CLOSE ( NOUT )
421 STOP
422 *
423 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
424 10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
425 10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
426 9999 FORMAT(' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
427 $ 'S THAN', F8.2 )
428 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
429 9997 FORMAT(' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
430 $ 'THAN ', I2 )
431 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
432 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' )
433 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
434 $ I2 )
435 9993 FORMAT(' TESTS OF THE COMPLEX LEVEL 2 BLAS', //' THE F',
436 $ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
437 9992 FORMAT( ' FOR N ', 9I6 )
438 9991 FORMAT( ' FOR K ', 7I6 )
439 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 )
440 9989 FORMAT( ' FOR ALPHA ',
441 $ 7('(', F4.1, ',', F4.1, ') ', : ) )
442 9988 FORMAT( ' FOR BETA ',
443 $ 7('(', F4.1, ',', F4.1, ') ', : ) )
444 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
445 $ /' ******* TESTS ABANDONED *******' )
446 9986 FORMAT(' SUBPROGRAM NAME ',A12, ' NOT RECOGNIZED', /' ******* T',
447 $ 'ESTS ABANDONED *******' )
448 9985 FORMAT(' ERROR IN CMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
449 $ 'ATED WRONGLY.', /' CMVCH WAS CALLED WITH TRANS = ', A1,
450 $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', /
451 $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.'
452 $ , /' ******* TESTS ABANDONED *******' )
453 9984 FORMAT(A12, L2 )
454 9983 FORMAT( 1X,A12, ' WAS NOT TESTED' )
455 9982 FORMAT( /' END OF TESTS' )
456 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
457 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
458 *
459 * End of CBLAT2.
460 *
461 END
462 SUBROUTINE CCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
463 $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
464 $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
465 $ XS, Y, YY, YS, YT, G, IORDER )
466 *
467 * Tests CGEMV and CGBMV.
468 *
469 * Auxiliary routine for test program for Level 2 Blas.
470 *
471 * -- Written on 10-August-1987.
472 * Richard Hanson, Sandia National Labs.
473 * Jeremy Du Croz, NAG Central Office.
474 *
475 * .. Parameters ..
476 COMPLEX ZERO, HALF
477 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ) )
478 REAL RZERO
479 PARAMETER ( RZERO = 0.0 )
480 * .. Scalar Arguments ..
481 REAL EPS, THRESH
482 INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
483 $ NOUT, NTRA, IORDER
484 LOGICAL FATAL, REWI, TRACE
485 CHARACTER*12 SNAME
486 * .. Array Arguments ..
487 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
488 $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
489 $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
490 $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
491 $ YY( NMAX*INCMAX )
492 REAL G( NMAX )
493 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
494 * .. Local Scalars ..
495 COMPLEX ALPHA, ALS, BETA, BLS, TRANSL
496 REAL ERR, ERRMAX
497 INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
498 $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
499 $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
500 $ NL, NS
501 LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
502 CHARACTER*1 TRANS, TRANSS
503 CHARACTER*14 CTRANS
504 CHARACTER*3 ICH
505 * .. Local Arrays ..
506 LOGICAL ISAME( 13 )
507 * .. External Functions ..
508 LOGICAL LCE, LCERES
509 EXTERNAL LCE, LCERES
510 * .. External Subroutines ..
511 EXTERNAL CCGBMV, CCGEMV, CMAKE, CMVCH
512 * .. Intrinsic Functions ..
513 INTRINSIC ABS, MAX, MIN
514 * .. Scalars in Common ..
515 INTEGER INFOT, NOUTC
516 LOGICAL OK
517 * .. Common blocks ..
518 COMMON /INFOC/INFOT, NOUTC, OK
519 * .. Data statements ..
520 DATA ICH/'NTC'/
521 * .. Executable Statements ..
522 FULL = SNAME( 9: 9 ).EQ.'e'
523 BANDED = SNAME( 9: 9 ).EQ.'b'
524 * Define the number of arguments.
525 IF( FULL )THEN
526 NARGS = 11
527 ELSE IF( BANDED )THEN
528 NARGS = 13
529 END IF
530 *
531 NC = 0
532 RESET = .TRUE.
533 ERRMAX = RZERO
534 *
535 DO 120 IN = 1, NIDIM
536 N = IDIM( IN )
537 ND = N/2 + 1
538 *
539 DO 110 IM = 1, 2
540 IF( IM.EQ.1 )
541 $ M = MAX( N - ND, 0 )
542 IF( IM.EQ.2 )
543 $ M = MIN( N + ND, NMAX )
544 *
545 IF( BANDED )THEN
546 NK = NKB
547 ELSE
548 NK = 1
549 END IF
550 DO 100 IKU = 1, NK
551 IF( BANDED )THEN
552 KU = KB( IKU )
553 KL = MAX( KU - 1, 0 )
554 ELSE
555 KU = N - 1
556 KL = M - 1
557 END IF
558 * Set LDA to 1 more than minimum value if room.
559 IF( BANDED )THEN
560 LDA = KL + KU + 1
561 ELSE
562 LDA = M
563 END IF
564 IF( LDA.LT.NMAX )
565 $ LDA = LDA + 1
566 * Skip tests if not enough room.
567 IF( LDA.GT.NMAX )
568 $ GO TO 100
569 LAA = LDA*N
570 NULL = N.LE.0.OR.M.LE.0
571 *
572 * Generate the matrix A.
573 *
574 TRANSL = ZERO
575 CALL CMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
576 $ LDA, KL, KU, RESET, TRANSL )
577 *
578 DO 90 IC = 1, 3
579 TRANS = ICH( IC: IC )
580 IF (TRANS.EQ.'N')THEN
581 CTRANS = ' CblasNoTrans'
582 ELSE IF (TRANS.EQ.'T')THEN
583 CTRANS = ' CblasTrans'
584 ELSE
585 CTRANS = 'CblasConjTrans'
586 END IF
587 TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
588 *
589 IF( TRAN )THEN
590 ML = N
591 NL = M
592 ELSE
593 ML = M
594 NL = N
595 END IF
596 *
597 DO 80 IX = 1, NINC
598 INCX = INC( IX )
599 LX = ABS( INCX )*NL
600 *
601 * Generate the vector X.
602 *
603 TRANSL = HALF
604 CALL CMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
605 $ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
606 IF( NL.GT.1 )THEN
607 X( NL/2 ) = ZERO
608 XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
609 END IF
610 *
611 DO 70 IY = 1, NINC
612 INCY = INC( IY )
613 LY = ABS( INCY )*ML
614 *
615 DO 60 IA = 1, NALF
616 ALPHA = ALF( IA )
617 *
618 DO 50 IB = 1, NBET
619 BETA = BET( IB )
620 *
621 * Generate the vector Y.
622 *
623 TRANSL = ZERO
624 CALL CMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
625 $ YY, ABS( INCY ), 0, ML - 1,
626 $ RESET, TRANSL )
627 *
628 NC = NC + 1
629 *
630 * Save every datum before calling the
631 * subroutine.
632 *
633 TRANSS = TRANS
634 MS = M
635 NS = N
636 KLS = KL
637 KUS = KU
638 ALS = ALPHA
639 DO 10 I = 1, LAA
640 AS( I ) = AA( I )
641 10 CONTINUE
642 LDAS = LDA
643 DO 20 I = 1, LX
644 XS( I ) = XX( I )
645 20 CONTINUE
646 INCXS = INCX
647 BLS = BETA
648 DO 30 I = 1, LY
649 YS( I ) = YY( I )
650 30 CONTINUE
651 INCYS = INCY
652 *
653 * Call the subroutine.
654 *
655 IF( FULL )THEN
656 IF( TRACE )
657 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
658 $ CTRANS, M, N, ALPHA, LDA, INCX, BETA,
659 $ INCY
660 IF( REWI )
661 $ REWIND NTRA
662 CALL CCGEMV( IORDER, TRANS, M, N,
663 $ ALPHA, AA, LDA, XX, INCX,
664 $ BETA, YY, INCY )
665 ELSE IF( BANDED )THEN
666 IF( TRACE )
667 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
668 $ CTRANS, M, N, KL, KU, ALPHA, LDA,
669 $ INCX, BETA, INCY
670 IF( REWI )
671 $ REWIND NTRA
672 CALL CCGBMV( IORDER, TRANS, M, N, KL,
673 $ KU, ALPHA, AA, LDA, XX,
674 $ INCX, BETA, YY, INCY )
675 END IF
676 *
677 * Check if error-exit was taken incorrectly.
678 *
679 IF( .NOT.OK )THEN
680 WRITE( NOUT, FMT = 9993 )
681 FATAL = .TRUE.
682 GO TO 130
683 END IF
684 *
685 * See what data changed inside subroutines.
686 *
687 * IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN
688 ISAME( 1 ) = TRANS.EQ.TRANSS
689 ISAME( 2 ) = MS.EQ.M
690 ISAME( 3 ) = NS.EQ.N
691 IF( FULL )THEN
692 ISAME( 4 ) = ALS.EQ.ALPHA
693 ISAME( 5 ) = LCE( AS, AA, LAA )
694 ISAME( 6 ) = LDAS.EQ.LDA
695 ISAME( 7 ) = LCE( XS, XX, LX )
696 ISAME( 8 ) = INCXS.EQ.INCX
697 ISAME( 9 ) = BLS.EQ.BETA
698 IF( NULL )THEN
699 ISAME( 10 ) = LCE( YS, YY, LY )
700 ELSE
701 ISAME( 10 ) = LCERES( 'ge', ' ', 1,
702 $ ML, YS, YY,
703 $ ABS( INCY ) )
704 END IF
705 ISAME( 11 ) = INCYS.EQ.INCY
706 ELSE IF( BANDED )THEN
707 ISAME( 4 ) = KLS.EQ.KL
708 ISAME( 5 ) = KUS.EQ.KU
709 ISAME( 6 ) = ALS.EQ.ALPHA
710 ISAME( 7 ) = LCE( AS, AA, LAA )
711 ISAME( 8 ) = LDAS.EQ.LDA
712 ISAME( 9 ) = LCE( XS, XX, LX )
713 ISAME( 10 ) = INCXS.EQ.INCX
714 ISAME( 11 ) = BLS.EQ.BETA
715 IF( NULL )THEN
716 ISAME( 12 ) = LCE( YS, YY, LY )
717 ELSE
718 ISAME( 12 ) = LCERES( 'ge', ' ', 1,
719 $ ML, YS, YY,
720 $ ABS( INCY ) )
721 END IF
722 ISAME( 13 ) = INCYS.EQ.INCY
723 END IF
724 *
725 * If data was incorrectly changed, report
726 * and return.
727 *
728 SAME = .TRUE.
729 DO 40 I = 1, NARGS
730 SAME = SAME.AND.ISAME( I )
731 IF( .NOT.ISAME( I ) )
732 $ WRITE( NOUT, FMT = 9998 )I
733 40 CONTINUE
734 IF( .NOT.SAME )THEN
735 FATAL = .TRUE.
736 GO TO 130
737 END IF
738 *
739 IF( .NOT.NULL )THEN
740 *
741 * Check the result.
742 *
743 CALL CMVCH( TRANS, M, N, ALPHA, A,
744 $ NMAX, X, INCX, BETA, Y,
745 $ INCY, YT, G, YY, EPS, ERR,
746 $ FATAL, NOUT, .TRUE. )
747 ERRMAX = MAX( ERRMAX, ERR )
748 * If got really bad answer, report and
749 * return.
750 IF( FATAL )
751 $ GO TO 130
752 ELSE
753 * Avoid repeating tests with M.le.0 or
754 * N.le.0.
755 GO TO 110
756 END IF
757 * END IF
758 *
759 50 CONTINUE
760 *
761 60 CONTINUE
762 *
763 70 CONTINUE
764 *
765 80 CONTINUE
766 *
767 90 CONTINUE
768 *
769 100 CONTINUE
770 *
771 110 CONTINUE
772 *
773 120 CONTINUE
774 *
775 * Report result.
776 *
777 IF( ERRMAX.LT.THRESH )THEN
778 WRITE( NOUT, FMT = 9999 )SNAME, NC
779 ELSE
780 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
781 END IF
782 GO TO 140
783 *
784 130 CONTINUE
785 WRITE( NOUT, FMT = 9996 )SNAME
786 IF( FULL )THEN
787 WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
788 $ INCX, BETA, INCY
789 ELSE IF( BANDED )THEN
790 WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
791 $ ALPHA, LDA, INCX, BETA, INCY
792 END IF
793 *
794 140 CONTINUE
795 RETURN
796 *
797 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
798 $ 'S)' )
799 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
800 $ 'ANGED INCORRECTLY *******' )
801 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
802 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
803 $ ' - SUSPECT *******' )
804 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
805 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), '(',
806 $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
807 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
808 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
809 $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
810 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
811 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
812 $ '******' )
813 *
814 * End of CCHK1.
815 *
816 END
817 SUBROUTINE CCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
818 $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
819 $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
820 $ XS, Y, YY, YS, YT, G, IORDER )
821 *
822 * Tests CHEMV, CHBMV and CHPMV.
823 *
824 * Auxiliary routine for test program for Level 2 Blas.
825 *
826 * -- Written on 10-August-1987.
827 * Richard Hanson, Sandia National Labs.
828 * Jeremy Du Croz, NAG Central Office.
829 *
830 * .. Parameters ..
831 COMPLEX ZERO, HALF
832 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ) )
833 REAL RZERO
834 PARAMETER ( RZERO = 0.0 )
835 * .. Scalar Arguments ..
836 REAL EPS, THRESH
837 INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
838 $ NOUT, NTRA, IORDER
839 LOGICAL FATAL, REWI, TRACE
840 CHARACTER*12 SNAME
841 * .. Array Arguments ..
842 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
843 $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
844 $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
845 $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
846 $ YY( NMAX*INCMAX )
847 REAL G( NMAX )
848 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
849 * .. Local Scalars ..
850 COMPLEX ALPHA, ALS, BETA, BLS, TRANSL
851 REAL ERR, ERRMAX
852 INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY,
853 $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
854 $ N, NARGS, NC, NK, NS
855 LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
856 CHARACTER*1 UPLO, UPLOS
857 CHARACTER*14 CUPLO
858 CHARACTER*2 ICH
859 * .. Local Arrays ..
860 LOGICAL ISAME( 13 )
861 * .. External Functions ..
862 LOGICAL LCE, LCERES
863 EXTERNAL LCE, LCERES
864 * .. External Subroutines ..
865 EXTERNAL CCHBMV, CCHEMV, CCHPMV, CMAKE, CMVCH
866 * .. Intrinsic Functions ..
867 INTRINSIC ABS, MAX
868 * .. Scalars in Common ..
869 INTEGER INFOT, NOUTC
870 LOGICAL OK
871 * .. Common blocks ..
872 COMMON /INFOC/INFOT, NOUTC, OK
873 * .. Data statements ..
874 DATA ICH/'UL'/
875 * .. Executable Statements ..
876 FULL = SNAME( 9: 9 ).EQ.'e'
877 BANDED = SNAME( 9: 9 ).EQ.'b'
878 PACKED = SNAME( 9: 9 ).EQ.'p'
879 * Define the number of arguments.
880 IF( FULL )THEN
881 NARGS = 10
882 ELSE IF( BANDED )THEN
883 NARGS = 11
884 ELSE IF( PACKED )THEN
885 NARGS = 9
886 END IF
887 *
888 NC = 0
889 RESET = .TRUE.
890 ERRMAX = RZERO
891 *
892 DO 110 IN = 1, NIDIM
893 N = IDIM( IN )
894 *
895 IF( BANDED )THEN
896 NK = NKB
897 ELSE
898 NK = 1
899 END IF
900 DO 100 IK = 1, NK
901 IF( BANDED )THEN
902 K = KB( IK )
903 ELSE
904 K = N - 1
905 END IF
906 * Set LDA to 1 more than minimum value if room.
907 IF( BANDED )THEN
908 LDA = K + 1
909 ELSE
910 LDA = N
911 END IF
912 IF( LDA.LT.NMAX )
913 $ LDA = LDA + 1
914 * Skip tests if not enough room.
915 IF( LDA.GT.NMAX )
916 $ GO TO 100
917 IF( PACKED )THEN
918 LAA = ( N*( N + 1 ) )/2
919 ELSE
920 LAA = LDA*N
921 END IF
922 NULL = N.LE.0
923 *
924 DO 90 IC = 1, 2
925 UPLO = ICH( IC: IC )
926 IF (UPLO.EQ.'U')THEN
927 CUPLO = ' CblasUpper'
928 ELSE
929 CUPLO = ' CblasLower'
930 END IF
931 *
932 * Generate the matrix A.
933 *
934 TRANSL = ZERO
935 CALL CMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
936 $ LDA, K, K, RESET, TRANSL )
937 *
938 DO 80 IX = 1, NINC
939 INCX = INC( IX )
940 LX = ABS( INCX )*N
941 *
942 * Generate the vector X.
943 *
944 TRANSL = HALF
945 CALL CMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
946 $ ABS( INCX ), 0, N - 1, RESET, TRANSL )
947 IF( N.GT.1 )THEN
948 X( N/2 ) = ZERO
949 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
950 END IF
951 *
952 DO 70 IY = 1, NINC
953 INCY = INC( IY )
954 LY = ABS( INCY )*N
955 *
956 DO 60 IA = 1, NALF
957 ALPHA = ALF( IA )
958 *
959 DO 50 IB = 1, NBET
960 BETA = BET( IB )
961 *
962 * Generate the vector Y.
963 *
964 TRANSL = ZERO
965 CALL CMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
966 $ ABS( INCY ), 0, N - 1, RESET,
967 $ TRANSL )
968 *
969 NC = NC + 1
970 *
971 * Save every datum before calling the
972 * subroutine.
973 *
974 UPLOS = UPLO
975 NS = N
976 KS = K
977 ALS = ALPHA
978 DO 10 I = 1, LAA
979 AS( I ) = AA( I )
980 10 CONTINUE
981 LDAS = LDA
982 DO 20 I = 1, LX
983 XS( I ) = XX( I )
984 20 CONTINUE
985 INCXS = INCX
986 BLS = BETA
987 DO 30 I = 1, LY
988 YS( I ) = YY( I )
989 30 CONTINUE
990 INCYS = INCY
991 *
992 * Call the subroutine.
993 *
994 IF( FULL )THEN
995 IF( TRACE )
996 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
997 $ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
998 IF( REWI )
999 $ REWIND NTRA
1000 CALL CCHEMV( IORDER, UPLO, N, ALPHA, AA,
1001 $ LDA, XX, INCX, BETA, YY,
1002 $ INCY )
1003 ELSE IF( BANDED )THEN
1004 IF( TRACE )
1005 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1006 $ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
1007 $ INCY
1008 IF( REWI )
1009 $ REWIND NTRA
1010 CALL CCHBMV( IORDER, UPLO, N, K, ALPHA,
1011 $ AA, LDA, XX, INCX, BETA,
1012 $ YY, INCY )
1013 ELSE IF( PACKED )THEN
1014 IF( TRACE )
1015 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1016 $ CUPLO, N, ALPHA, INCX, BETA, INCY
1017 IF( REWI )
1018 $ REWIND NTRA
1019 CALL CCHPMV( IORDER, UPLO, N, ALPHA, AA,
1020 $ XX, INCX, BETA, YY, INCY )
1021 END IF
1022 *
1023 * Check if error-exit was taken incorrectly.
1024 *
1025 IF( .NOT.OK )THEN
1026 WRITE( NOUT, FMT = 9992 )
1027 FATAL = .TRUE.
1028 GO TO 120
1029 END IF
1030 *
1031 * See what data changed inside subroutines.
1032 *
1033 ISAME( 1 ) = UPLO.EQ.UPLOS
1034 ISAME( 2 ) = NS.EQ.N
1035 IF( FULL )THEN
1036 ISAME( 3 ) = ALS.EQ.ALPHA
1037 ISAME( 4 ) = LCE( AS, AA, LAA )
1038 ISAME( 5 ) = LDAS.EQ.LDA
1039 ISAME( 6 ) = LCE( XS, XX, LX )
1040 ISAME( 7 ) = INCXS.EQ.INCX
1041 ISAME( 8 ) = BLS.EQ.BETA
1042 IF( NULL )THEN
1043 ISAME( 9 ) = LCE( YS, YY, LY )
1044 ELSE
1045 ISAME( 9 ) = LCERES( 'ge', ' ', 1, N,
1046 $ YS, YY, ABS( INCY ) )
1047 END IF
1048 ISAME( 10 ) = INCYS.EQ.INCY
1049 ELSE IF( BANDED )THEN
1050 ISAME( 3 ) = KS.EQ.K
1051 ISAME( 4 ) = ALS.EQ.ALPHA
1052 ISAME( 5 ) = LCE( AS, AA, LAA )
1053 ISAME( 6 ) = LDAS.EQ.LDA
1054 ISAME( 7 ) = LCE( XS, XX, LX )
1055 ISAME( 8 ) = INCXS.EQ.INCX
1056 ISAME( 9 ) = BLS.EQ.BETA
1057 IF( NULL )THEN
1058 ISAME( 10 ) = LCE( YS, YY, LY )
1059 ELSE
1060 ISAME( 10 ) = LCERES( 'ge', ' ', 1, N,
1061 $ YS, YY, ABS( INCY ) )
1062 END IF
1063 ISAME( 11 ) = INCYS.EQ.INCY
1064 ELSE IF( PACKED )THEN
1065 ISAME( 3 ) = ALS.EQ.ALPHA
1066 ISAME( 4 ) = LCE( AS, AA, LAA )
1067 ISAME( 5 ) = LCE( XS, XX, LX )
1068 ISAME( 6 ) = INCXS.EQ.INCX
1069 ISAME( 7 ) = BLS.EQ.BETA
1070 IF( NULL )THEN
1071 ISAME( 8 ) = LCE( YS, YY, LY )
1072 ELSE
1073 ISAME( 8 ) = LCERES( 'ge', ' ', 1, N,
1074 $ YS, YY, ABS( INCY ) )
1075 END IF
1076 ISAME( 9 ) = INCYS.EQ.INCY
1077 END IF
1078 *
1079 * If data was incorrectly changed, report and
1080 * return.
1081 *
1082 SAME = .TRUE.
1083 DO 40 I = 1, NARGS
1084 SAME = SAME.AND.ISAME( I )
1085 IF( .NOT.ISAME( I ) )
1086 $ WRITE( NOUT, FMT = 9998 )I
1087 40 CONTINUE
1088 IF( .NOT.SAME )THEN
1089 FATAL = .TRUE.
1090 GO TO 120
1091 END IF
1092 *
1093 IF( .NOT.NULL )THEN
1094 *
1095 * Check the result.
1096 *
1097 CALL CMVCH( 'N', N, N, ALPHA, A, NMAX, X,
1098 $ INCX, BETA, Y, INCY, YT, G,
1099 $ YY, EPS, ERR, FATAL, NOUT,
1100 $ .TRUE. )
1101 ERRMAX = MAX( ERRMAX, ERR )
1102 * If got really bad answer, report and
1103 * return.
1104 IF( FATAL )
1105 $ GO TO 120
1106 ELSE
1107 * Avoid repeating tests with N.le.0
1108 GO TO 110
1109 END IF
1110 *
1111 50 CONTINUE
1112 *
1113 60 CONTINUE
1114 *
1115 70 CONTINUE
1116 *
1117 80 CONTINUE
1118 *
1119 90 CONTINUE
1120 *
1121 100 CONTINUE
1122 *
1123 110 CONTINUE
1124 *
1125 * Report result.
1126 *
1127 IF( ERRMAX.LT.THRESH )THEN
1128 WRITE( NOUT, FMT = 9999 )SNAME, NC
1129 ELSE
1130 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1131 END IF
1132 GO TO 130
1133 *
1134 120 CONTINUE
1135 WRITE( NOUT, FMT = 9996 )SNAME
1136 IF( FULL )THEN
1137 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA, INCX,
1138 $ BETA, INCY
1139 ELSE IF( BANDED )THEN
1140 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
1141 $ INCX, BETA, INCY
1142 ELSE IF( PACKED )THEN
1143 WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
1144 $ BETA, INCY
1145 END IF
1146 *
1147 130 CONTINUE
1148 RETURN
1149 *
1150 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1151 $ 'S)' )
1152 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1153 $ 'ANGED INCORRECTLY *******' )
1154 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1155 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1156 $ ' - SUSPECT *******' )
1157 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1158 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
1159 $ F4.1, '), AP, X,',/ 10x, I2, ',(', F4.1, ',', F4.1,
1160 $ '), Y,', I2, ') .' )
1161 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
1162 $ F4.1, ',', F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(',
1163 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
1164 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
1165 $ F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(', F4.1, ',',
1166 $ F4.1, '), ', 'Y,', I2, ') .' )
1167 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1168 $ '******' )
1169 *
1170 * End of CCHK2.
1171 *
1172 END
1173 SUBROUTINE CCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1174 $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
1175 $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
1176 *
1177 * Tests CTRMV, CTBMV, CTPMV, CTRSV, CTBSV and CTPSV.
1178 *
1179 * Auxiliary routine for test program for Level 2 Blas.
1180 *
1181 * -- Written on 10-August-1987.
1182 * Richard Hanson, Sandia National Labs.
1183 * Jeremy Du Croz, NAG Central Office.
1184 *
1185 * .. Parameters ..
1186 COMPLEX ZERO, HALF, ONE
1187 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
1188 $ ONE = ( 1.0, 0.0 ) )
1189 REAL RZERO
1190 PARAMETER ( RZERO = 0.0 )
1191 * .. Scalar Arguments ..
1192 REAL EPS, THRESH
1193 INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
1194 $ IORDER
1195 LOGICAL FATAL, REWI, TRACE
1196 CHARACTER*12 SNAME
1197 * .. Array Arguments ..
1198 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ),
1199 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1200 $ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
1201 REAL G( NMAX )
1202 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
1203 * .. Local Scalars ..
1204 COMPLEX TRANSL
1205 REAL ERR, ERRMAX
1206 INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
1207 $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
1208 LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
1209 CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
1210 CHARACTER*14 CUPLO,CTRANS,CDIAG
1211 CHARACTER*2 ICHD, ICHU
1212 CHARACTER*3 ICHT
1213 * .. Local Arrays ..
1214 LOGICAL ISAME( 13 )
1215 * .. External Functions ..
1216 LOGICAL LCE, LCERES
1217 EXTERNAL LCE, LCERES
1218 * .. External Subroutines ..
1219 EXTERNAL CMAKE, CMVCH, CCTBMV, CCTBSV, CCTPMV,
1220 $ CCTPSV, CCTRMV, CCTRSV
1221 * .. Intrinsic Functions ..
1222 INTRINSIC ABS, MAX
1223 * .. Scalars in Common ..
1224 INTEGER INFOT, NOUTC
1225 LOGICAL OK
1226 * .. Common blocks ..
1227 COMMON /INFOC/INFOT, NOUTC, OK
1228 * .. Data statements ..
1229 DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
1230 * .. Executable Statements ..
1231 FULL = SNAME( 9: 9 ).EQ.'r'
1232 BANDED = SNAME( 9: 9 ).EQ.'b'
1233 PACKED = SNAME( 9: 9 ).EQ.'p'
1234 * Define the number of arguments.
1235 IF( FULL )THEN
1236 NARGS = 8
1237 ELSE IF( BANDED )THEN
1238 NARGS = 9
1239 ELSE IF( PACKED )THEN
1240 NARGS = 7
1241 END IF
1242 *
1243 NC = 0
1244 RESET = .TRUE.
1245 ERRMAX = RZERO
1246 * Set up zero vector for CMVCH.
1247 DO 10 I = 1, NMAX
1248 Z( I ) = ZERO
1249 10 CONTINUE
1250 *
1251 DO 110 IN = 1, NIDIM
1252 N = IDIM( IN )
1253 *
1254 IF( BANDED )THEN
1255 NK = NKB
1256 ELSE
1257 NK = 1
1258 END IF
1259 DO 100 IK = 1, NK
1260 IF( BANDED )THEN
1261 K = KB( IK )
1262 ELSE
1263 K = N - 1
1264 END IF
1265 * Set LDA to 1 more than minimum value if room.
1266 IF( BANDED )THEN
1267 LDA = K + 1
1268 ELSE
1269 LDA = N
1270 END IF
1271 IF( LDA.LT.NMAX )
1272 $ LDA = LDA + 1
1273 * Skip tests if not enough room.
1274 IF( LDA.GT.NMAX )
1275 $ GO TO 100
1276 IF( PACKED )THEN
1277 LAA = ( N*( N + 1 ) )/2
1278 ELSE
1279 LAA = LDA*N
1280 END IF
1281 NULL = N.LE.0
1282 *
1283 DO 90 ICU = 1, 2
1284 UPLO = ICHU( ICU: ICU )
1285 IF (UPLO.EQ.'U')THEN
1286 CUPLO = ' CblasUpper'
1287 ELSE
1288 CUPLO = ' CblasLower'
1289 END IF
1290 *
1291 DO 80 ICT = 1, 3
1292 TRANS = ICHT( ICT: ICT )
1293 IF (TRANS.EQ.'N')THEN
1294 CTRANS = ' CblasNoTrans'
1295 ELSE IF (TRANS.EQ.'T')THEN
1296 CTRANS = ' CblasTrans'
1297 ELSE
1298 CTRANS = 'CblasConjTrans'
1299 END IF
1300 *
1301 DO 70 ICD = 1, 2
1302 DIAG = ICHD( ICD: ICD )
1303 IF (DIAG.EQ.'N')THEN
1304 CDIAG = ' CblasNonUnit'
1305 ELSE
1306 CDIAG = ' CblasUnit'
1307 END IF
1308 *
1309 * Generate the matrix A.
1310 *
1311 TRANSL = ZERO
1312 CALL CMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
1313 $ NMAX, AA, LDA, K, K, RESET, TRANSL )
1314 *
1315 DO 60 IX = 1, NINC
1316 INCX = INC( IX )
1317 LX = ABS( INCX )*N
1318 *
1319 * Generate the vector X.
1320 *
1321 TRANSL = HALF
1322 CALL CMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
1323 $ ABS( INCX ), 0, N - 1, RESET,
1324 $ TRANSL )
1325 IF( N.GT.1 )THEN
1326 X( N/2 ) = ZERO
1327 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1328 END IF
1329 *
1330 NC = NC + 1
1331 *
1332 * Save every datum before calling the subroutine.
1333 *
1334 UPLOS = UPLO
1335 TRANSS = TRANS
1336 DIAGS = DIAG
1337 NS = N
1338 KS = K
1339 DO 20 I = 1, LAA
1340 AS( I ) = AA( I )
1341 20 CONTINUE
1342 LDAS = LDA
1343 DO 30 I = 1, LX
1344 XS( I ) = XX( I )
1345 30 CONTINUE
1346 INCXS = INCX
1347 *
1348 * Call the subroutine.
1349 *
1350 IF( SNAME( 10: 11 ).EQ.'mv' )THEN
1351 IF( FULL )THEN
1352 IF( TRACE )
1353 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1354 $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1355 IF( REWI )
1356 $ REWIND NTRA
1357 CALL CCTRMV( IORDER, UPLO, TRANS, DIAG,
1358 $ N, AA, LDA, XX, INCX )
1359 ELSE IF( BANDED )THEN
1360 IF( TRACE )
1361 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1362 $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1363 IF( REWI )
1364 $ REWIND NTRA
1365 CALL CCTBMV( IORDER, UPLO, TRANS, DIAG,
1366 $ N, K, AA, LDA, XX, INCX )
1367 ELSE IF( PACKED )THEN
1368 IF( TRACE )
1369 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1370 $ CUPLO, CTRANS, CDIAG, N, INCX
1371 IF( REWI )
1372 $ REWIND NTRA
1373 CALL CCTPMV( IORDER, UPLO, TRANS, DIAG,
1374 $ N, AA, XX, INCX )
1375 END IF
1376 ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
1377 IF( FULL )THEN
1378 IF( TRACE )
1379 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1380 $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1381 IF( REWI )
1382 $ REWIND NTRA
1383 CALL CCTRSV( IORDER, UPLO, TRANS, DIAG,
1384 $ N, AA, LDA, XX, INCX )
1385 ELSE IF( BANDED )THEN
1386 IF( TRACE )
1387 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1388 $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1389 IF( REWI )
1390 $ REWIND NTRA
1391 CALL CCTBSV( IORDER, UPLO, TRANS, DIAG,
1392 $ N, K, AA, LDA, XX, INCX )
1393 ELSE IF( PACKED )THEN
1394 IF( TRACE )
1395 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1396 $ CUPLO, CTRANS, CDIAG, N, INCX
1397 IF( REWI )
1398 $ REWIND NTRA
1399 CALL CCTPSV( IORDER, UPLO, TRANS, DIAG,
1400 $ N, AA, XX, INCX )
1401 END IF
1402 END IF
1403 *
1404 * Check if error-exit was taken incorrectly.
1405 *
1406 IF( .NOT.OK )THEN
1407 WRITE( NOUT, FMT = 9992 )
1408 FATAL = .TRUE.
1409 GO TO 120
1410 END IF
1411 *
1412 * See what data changed inside subroutines.
1413 *
1414 ISAME( 1 ) = UPLO.EQ.UPLOS
1415 ISAME( 2 ) = TRANS.EQ.TRANSS
1416 ISAME( 3 ) = DIAG.EQ.DIAGS
1417 ISAME( 4 ) = NS.EQ.N
1418 IF( FULL )THEN
1419 ISAME( 5 ) = LCE( AS, AA, LAA )
1420 ISAME( 6 ) = LDAS.EQ.LDA
1421 IF( NULL )THEN
1422 ISAME( 7 ) = LCE( XS, XX, LX )
1423 ELSE
1424 ISAME( 7 ) = LCERES( 'ge', ' ', 1, N, XS,
1425 $ XX, ABS( INCX ) )
1426 END IF
1427 ISAME( 8 ) = INCXS.EQ.INCX
1428 ELSE IF( BANDED )THEN
1429 ISAME( 5 ) = KS.EQ.K
1430 ISAME( 6 ) = LCE( AS, AA, LAA )
1431 ISAME( 7 ) = LDAS.EQ.LDA
1432 IF( NULL )THEN
1433 ISAME( 8 ) = LCE( XS, XX, LX )
1434 ELSE
1435 ISAME( 8 ) = LCERES( 'ge', ' ', 1, N, XS,
1436 $ XX, ABS( INCX ) )
1437 END IF
1438 ISAME( 9 ) = INCXS.EQ.INCX
1439 ELSE IF( PACKED )THEN
1440 ISAME( 5 ) = LCE( AS, AA, LAA )
1441 IF( NULL )THEN
1442 ISAME( 6 ) = LCE( XS, XX, LX )
1443 ELSE
1444 ISAME( 6 ) = LCERES( 'ge', ' ', 1, N, XS,
1445 $ XX, ABS( INCX ) )
1446 END IF
1447 ISAME( 7 ) = INCXS.EQ.INCX
1448 END IF
1449 *
1450 * If data was incorrectly changed, report and
1451 * return.
1452 *
1453 SAME = .TRUE.
1454 DO 40 I = 1, NARGS
1455 SAME = SAME.AND.ISAME( I )
1456 IF( .NOT.ISAME( I ) )
1457 $ WRITE( NOUT, FMT = 9998 )I
1458 40 CONTINUE
1459 IF( .NOT.SAME )THEN
1460 FATAL = .TRUE.
1461 GO TO 120
1462 END IF
1463 *
1464 IF( .NOT.NULL )THEN
1465 IF( SNAME( 10: 11 ).EQ.'mv' )THEN
1466 *
1467 * Check the result.
1468 *
1469 CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X,
1470 $ INCX, ZERO, Z, INCX, XT, G,
1471 $ XX, EPS, ERR, FATAL, NOUT,
1472 $ .TRUE. )
1473 ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
1474 *
1475 * Compute approximation to original vector.
1476 *
1477 DO 50 I = 1, N
1478 Z( I ) = XX( 1 + ( I - 1 )*
1479 $ ABS( INCX ) )
1480 XX( 1 + ( I - 1 )*ABS( INCX ) )
1481 $ = X( I )
1482 50 CONTINUE
1483 CALL CMVCH( TRANS, N, N, ONE, A, NMAX, Z,
1484 $ INCX, ZERO, X, INCX, XT, G,
1485 $ XX, EPS, ERR, FATAL, NOUT,
1486 $ .FALSE. )
1487 END IF
1488 ERRMAX = MAX( ERRMAX, ERR )
1489 * If got really bad answer, report and return.
1490 IF( FATAL )
1491 $ GO TO 120
1492 ELSE
1493 * Avoid repeating tests with N.le.0.
1494 GO TO 110
1495 END IF
1496 *
1497 60 CONTINUE
1498 *
1499 70 CONTINUE
1500 *
1501 80 CONTINUE
1502 *
1503 90 CONTINUE
1504 *
1505 100 CONTINUE
1506 *
1507 110 CONTINUE
1508 *
1509 * Report result.
1510 *
1511 IF( ERRMAX.LT.THRESH )THEN
1512 WRITE( NOUT, FMT = 9999 )SNAME, NC
1513 ELSE
1514 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1515 END IF
1516 GO TO 130
1517 *
1518 120 CONTINUE
1519 WRITE( NOUT, FMT = 9996 )SNAME
1520 IF( FULL )THEN
1521 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1522 $ LDA, INCX
1523 ELSE IF( BANDED )THEN
1524 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
1525 $ LDA, INCX
1526 ELSE IF( PACKED )THEN
1527 WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1528 $ INCX
1529 END IF
1530 *
1531 130 CONTINUE
1532 RETURN
1533 *
1534 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1535 $ 'S)' )
1536 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1537 $ 'ANGED INCORRECTLY *******' )
1538 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1539 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1540 $ ' - SUSPECT *******' )
1541 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1542 9995 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', AP, ',
1543 $ 'X,', I2, ') .' )
1544 9994 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, 2( I3, ',' ),
1545 $ ' A,', I3, ', X,', I2, ') .' )
1546 9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', A,',
1547 $ I3, ', X,', I2, ') .' )
1548 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1549 $ '******' )
1550 *
1551 * End of CCHK3.
1552 *
1553 END
1554 SUBROUTINE CCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1555 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
1556 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
1557 $ Z, IORDER )
1558 *
1559 * Tests CGERC and CGERU.
1560 *
1561 * Auxiliary routine for test program for Level 2 Blas.
1562 *
1563 * -- Written on 10-August-1987.
1564 * Richard Hanson, Sandia National Labs.
1565 * Jeremy Du Croz, NAG Central Office.
1566 *
1567 * .. Parameters ..
1568 COMPLEX ZERO, HALF, ONE
1569 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
1570 $ ONE = ( 1.0, 0.0 ) )
1571 REAL RZERO
1572 PARAMETER ( RZERO = 0.0 )
1573 * .. Scalar Arguments ..
1574 REAL EPS, THRESH
1575 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
1576 $ IORDER
1577 LOGICAL FATAL, REWI, TRACE
1578 CHARACTER*12 SNAME
1579 * .. Array Arguments ..
1580 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
1581 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1582 $ XX( NMAX*INCMAX ), Y( NMAX ),
1583 $ YS( NMAX*INCMAX ), YT( NMAX ),
1584 $ YY( NMAX*INCMAX ), Z( NMAX )
1585 REAL G( NMAX )
1586 INTEGER IDIM( NIDIM ), INC( NINC )
1587 * .. Local Scalars ..
1588 COMPLEX ALPHA, ALS, TRANSL
1589 REAL ERR, ERRMAX
1590 INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
1591 $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
1592 $ NC, ND, NS
1593 LOGICAL CONJ, NULL, RESET, SAME
1594 * .. Local Arrays ..
1595 COMPLEX W( 1 )
1596 LOGICAL ISAME( 13 )
1597 * .. External Functions ..
1598 LOGICAL LCE, LCERES
1599 EXTERNAL LCE, LCERES
1600 * .. External Subroutines ..
1601 EXTERNAL CCGERC, CCGERU, CMAKE, CMVCH
1602 * .. Intrinsic Functions ..
1603 INTRINSIC ABS, CONJG, MAX, MIN
1604 * .. Scalars in Common ..
1605 INTEGER INFOT, NOUTC
1606 LOGICAL OK
1607 * .. Common blocks ..
1608 COMMON /INFOC/INFOT, NOUTC, OK
1609 * .. Executable Statements ..
1610 CONJ = SNAME( 11: 11 ).EQ.'c'
1611 * Define the number of arguments.
1612 NARGS = 9
1613 *
1614 NC = 0
1615 RESET = .TRUE.
1616 ERRMAX = RZERO
1617 *
1618 DO 120 IN = 1, NIDIM
1619 N = IDIM( IN )
1620 ND = N/2 + 1
1621 *
1622 DO 110 IM = 1, 2
1623 IF( IM.EQ.1 )
1624 $ M = MAX( N - ND, 0 )
1625 IF( IM.EQ.2 )
1626 $ M = MIN( N + ND, NMAX )
1627 *
1628 * Set LDA to 1 more than minimum value if room.
1629 LDA = M
1630 IF( LDA.LT.NMAX )
1631 $ LDA = LDA + 1
1632 * Skip tests if not enough room.
1633 IF( LDA.GT.NMAX )
1634 $ GO TO 110
1635 LAA = LDA*N
1636 NULL = N.LE.0.OR.M.LE.0
1637 *
1638 DO 100 IX = 1, NINC
1639 INCX = INC( IX )
1640 LX = ABS( INCX )*M
1641 *
1642 * Generate the vector X.
1643 *
1644 TRANSL = HALF
1645 CALL CMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
1646 $ 0, M - 1, RESET, TRANSL )
1647 IF( M.GT.1 )THEN
1648 X( M/2 ) = ZERO
1649 XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
1650 END IF
1651 *
1652 DO 90 IY = 1, NINC
1653 INCY = INC( IY )
1654 LY = ABS( INCY )*N
1655 *
1656 * Generate the vector Y.
1657 *
1658 TRANSL = ZERO
1659 CALL CMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
1660 $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
1661 IF( N.GT.1 )THEN
1662 Y( N/2 ) = ZERO
1663 YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
1664 END IF
1665 *
1666 DO 80 IA = 1, NALF
1667 ALPHA = ALF( IA )
1668 *
1669 * Generate the matrix A.
1670 *
1671 TRANSL = ZERO
1672 CALL CMAKE(SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
1673 $ AA, LDA, M - 1, N - 1, RESET, TRANSL )
1674 *
1675 NC = NC + 1
1676 *
1677 * Save every datum before calling the subroutine.
1678 *
1679 MS = M
1680 NS = N
1681 ALS = ALPHA
1682 DO 10 I = 1, LAA
1683 AS( I ) = AA( I )
1684 10 CONTINUE
1685 LDAS = LDA
1686 DO 20 I = 1, LX
1687 XS( I ) = XX( I )
1688 20 CONTINUE
1689 INCXS = INCX
1690 DO 30 I = 1, LY
1691 YS( I ) = YY( I )
1692 30 CONTINUE
1693 INCYS = INCY
1694 *
1695 * Call the subroutine.
1696 *
1697 IF( TRACE )
1698 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
1699 $ ALPHA, INCX, INCY, LDA
1700 IF( CONJ )THEN
1701 IF( REWI )
1702 $ REWIND NTRA
1703 CALL CCGERC( IORDER, M, N, ALPHA, XX, INCX,
1704 $ YY, INCY, AA, LDA )
1705 ELSE
1706 IF( REWI )
1707 $ REWIND NTRA
1708 CALL CCGERU( IORDER, M, N, ALPHA, XX, INCX,
1709 $ YY, INCY, AA, LDA )
1710 END IF
1711 *
1712 * Check if error-exit was taken incorrectly.
1713 *
1714 IF( .NOT.OK )THEN
1715 WRITE( NOUT, FMT = 9993 )
1716 FATAL = .TRUE.
1717 GO TO 140
1718 END IF
1719 *
1720 * See what data changed inside subroutine.
1721 *
1722 ISAME( 1 ) = MS.EQ.M
1723 ISAME( 2 ) = NS.EQ.N
1724 ISAME( 3 ) = ALS.EQ.ALPHA
1725 ISAME( 4 ) = LCE( XS, XX, LX )
1726 ISAME( 5 ) = INCXS.EQ.INCX
1727 ISAME( 6 ) = LCE( YS, YY, LY )
1728 ISAME( 7 ) = INCYS.EQ.INCY
1729 IF( NULL )THEN
1730 ISAME( 8 ) = LCE( AS, AA, LAA )
1731 ELSE
1732 ISAME( 8 ) = LCERES( 'ge', ' ', M, N, AS, AA,
1733 $ LDA )
1734 END IF
1735 ISAME( 9 ) = LDAS.EQ.LDA
1736 *
1737 * If data was incorrectly changed, report and return.
1738 *
1739 SAME = .TRUE.
1740 DO 40 I = 1, NARGS
1741 SAME = SAME.AND.ISAME( I )
1742 IF( .NOT.ISAME( I ) )
1743 $ WRITE( NOUT, FMT = 9998 )I
1744 40 CONTINUE
1745 IF( .NOT.SAME )THEN
1746 FATAL = .TRUE.
1747 GO TO 140
1748 END IF
1749 *
1750 IF( .NOT.NULL )THEN
1751 *
1752 * Check the result column by column.
1753 *
1754 IF( INCX.GT.0 )THEN
1755 DO 50 I = 1, M
1756 Z( I ) = X( I )
1757 50 CONTINUE
1758 ELSE
1759 DO 60 I = 1, M
1760 Z( I ) = X( M - I + 1 )
1761 60 CONTINUE
1762 END IF
1763 DO 70 J = 1, N
1764 IF( INCY.GT.0 )THEN
1765 W( 1 ) = Y( J )
1766 ELSE
1767 W( 1 ) = Y( N - J + 1 )
1768 END IF
1769 IF( CONJ )
1770 $ W( 1 ) = CONJG( W( 1 ) )
1771 CALL CMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1,
1772 $ ONE, A( 1, J ), 1, YT, G,
1773 $ AA( 1 + ( J - 1 )*LDA ), EPS,
1774 $ ERR, FATAL, NOUT, .TRUE. )
1775 ERRMAX = MAX( ERRMAX, ERR )
1776 * If got really bad answer, report and return.
1777 IF( FATAL )
1778 $ GO TO 130
1779 70 CONTINUE
1780 ELSE
1781 * Avoid repeating tests with M.le.0 or N.le.0.
1782 GO TO 110
1783 END IF
1784 *
1785 80 CONTINUE
1786 *
1787 90 CONTINUE
1788 *
1789 100 CONTINUE
1790 *
1791 110 CONTINUE
1792 *
1793 120 CONTINUE
1794 *
1795 * Report result.
1796 *
1797 IF( ERRMAX.LT.THRESH )THEN
1798 WRITE( NOUT, FMT = 9999 )SNAME, NC
1799 ELSE
1800 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1801 END IF
1802 GO TO 150
1803 *
1804 130 CONTINUE
1805 WRITE( NOUT, FMT = 9995 )J
1806 *
1807 140 CONTINUE
1808 WRITE( NOUT, FMT = 9996 )SNAME
1809 WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
1810 *
1811 150 CONTINUE
1812 RETURN
1813 *
1814 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1815 $ 'S)' )
1816 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1817 $ 'ANGED INCORRECTLY *******' )
1818 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1819 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1820 $ ' - SUSPECT *******' )
1821 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1822 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
1823 9994 FORMAT(1X, I6, ': ',A12, '(', 2( I3, ',' ), '(', F4.1, ',', F4.1,
1824 $ '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
1825 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1826 $ '******' )
1827 *
1828 * End of CCHK4.
1829 *
1830 END
1831 SUBROUTINE CCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1832 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
1833 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
1834 $ Z, IORDER )
1835 *
1836 * Tests CHER and CHPR.
1837 *
1838 * Auxiliary routine for test program for Level 2 Blas.
1839 *
1840 * -- Written on 10-August-1987.
1841 * Richard Hanson, Sandia National Labs.
1842 * Jeremy Du Croz, NAG Central Office.
1843 *
1844 * .. Parameters ..
1845 COMPLEX ZERO, HALF, ONE
1846 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
1847 $ ONE = ( 1.0, 0.0 ) )
1848 REAL RZERO
1849 PARAMETER ( RZERO = 0.0 )
1850 * .. Scalar Arguments ..
1851 REAL EPS, THRESH
1852 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
1853 $ IORDER
1854 LOGICAL FATAL, REWI, TRACE
1855 CHARACTER*12 SNAME
1856 * .. Array Arguments ..
1857 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
1858 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1859 $ XX( NMAX*INCMAX ), Y( NMAX ),
1860 $ YS( NMAX*INCMAX ), YT( NMAX ),
1861 $ YY( NMAX*INCMAX ), Z( NMAX )
1862 REAL G( NMAX )
1863 INTEGER IDIM( NIDIM ), INC( NINC )
1864 * .. Local Scalars ..
1865 COMPLEX ALPHA, TRANSL
1866 REAL ERR, ERRMAX, RALPHA, RALS
1867 INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA,
1868 $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
1869 LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
1870 CHARACTER*1 UPLO, UPLOS
1871 CHARACTER*14 CUPLO
1872 CHARACTER*2 ICH
1873 * .. Local Arrays ..
1874 COMPLEX W( 1 )
1875 LOGICAL ISAME( 13 )
1876 * .. External Functions ..
1877 LOGICAL LCE, LCERES
1878 EXTERNAL LCE, LCERES
1879 * .. External Subroutines ..
1880 EXTERNAL CCHER, CCHPR, CMAKE, CMVCH
1881 * .. Intrinsic Functions ..
1882 INTRINSIC ABS, CMPLX, CONJG, MAX, REAL
1883 * .. Scalars in Common ..
1884 INTEGER INFOT, NOUTC
1885 LOGICAL OK
1886 * .. Common blocks ..
1887 COMMON /INFOC/INFOT, NOUTC, OK
1888 * .. Data statements ..
1889 DATA ICH/'UL'/
1890 * .. Executable Statements ..
1891 FULL = SNAME( 9: 9 ).EQ.'e'
1892 PACKED = SNAME( 9: 9 ).EQ.'p'
1893 * Define the number of arguments.
1894 IF( FULL )THEN
1895 NARGS = 7
1896 ELSE IF( PACKED )THEN
1897 NARGS = 6
1898 END IF
1899 *
1900 NC = 0
1901 RESET = .TRUE.
1902 ERRMAX = RZERO
1903 *
1904 DO 100 IN = 1, NIDIM
1905 N = IDIM( IN )
1906 * Set LDA to 1 more than minimum value if room.
1907 LDA = N
1908 IF( LDA.LT.NMAX )
1909 $ LDA = LDA + 1
1910 * Skip tests if not enough room.
1911 IF( LDA.GT.NMAX )
1912 $ GO TO 100
1913 IF( PACKED )THEN
1914 LAA = ( N*( N + 1 ) )/2
1915 ELSE
1916 LAA = LDA*N
1917 END IF
1918 *
1919 DO 90 IC = 1, 2
1920 UPLO = ICH( IC: IC )
1921 IF (UPLO.EQ.'U')THEN
1922 CUPLO = ' CblasUpper'
1923 ELSE
1924 CUPLO = ' CblasLower'
1925 END IF
1926 UPPER = UPLO.EQ.'U'
1927 *
1928 DO 80 IX = 1, NINC
1929 INCX = INC( IX )
1930 LX = ABS( INCX )*N
1931 *
1932 * Generate the vector X.
1933 *
1934 TRANSL = HALF
1935 CALL CMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
1936 $ 0, N - 1, RESET, TRANSL )
1937 IF( N.GT.1 )THEN
1938 X( N/2 ) = ZERO
1939 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1940 END IF
1941 *
1942 DO 70 IA = 1, NALF
1943 RALPHA = REAL( ALF( IA ) )
1944 ALPHA = CMPLX( RALPHA, RZERO )
1945 NULL = N.LE.0.OR.RALPHA.EQ.RZERO
1946 *
1947 * Generate the matrix A.
1948 *
1949 TRANSL = ZERO
1950 CALL CMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
1951 $ AA, LDA, N - 1, N - 1, RESET, TRANSL )
1952 *
1953 NC = NC + 1
1954 *
1955 * Save every datum before calling the subroutine.
1956 *
1957 UPLOS = UPLO
1958 NS = N
1959 RALS = RALPHA
1960 DO 10 I = 1, LAA
1961 AS( I ) = AA( I )
1962 10 CONTINUE
1963 LDAS = LDA
1964 DO 20 I = 1, LX
1965 XS( I ) = XX( I )
1966 20 CONTINUE
1967 INCXS = INCX
1968 *
1969 * Call the subroutine.
1970 *
1971 IF( FULL )THEN
1972 IF( TRACE )
1973 $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
1974 $ RALPHA, INCX, LDA
1975 IF( REWI )
1976 $ REWIND NTRA
1977 CALL CCHER( IORDER, UPLO, N, RALPHA, XX,
1978 $ INCX, AA, LDA )
1979 ELSE IF( PACKED )THEN
1980 IF( TRACE )
1981 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
1982 $ RALPHA, INCX
1983 IF( REWI )
1984 $ REWIND NTRA
1985 CALL CCHPR( IORDER, UPLO, N, RALPHA,
1986 $ XX, INCX, AA )
1987 END IF
1988 *
1989 * Check if error-exit was taken incorrectly.
1990 *
1991 IF( .NOT.OK )THEN
1992 WRITE( NOUT, FMT = 9992 )
1993 FATAL = .TRUE.
1994 GO TO 120
1995 END IF
1996 *
1997 * See what data changed inside subroutines.
1998 *
1999 ISAME( 1 ) = UPLO.EQ.UPLOS
2000 ISAME( 2 ) = NS.EQ.N
2001 ISAME( 3 ) = RALS.EQ.RALPHA
2002 ISAME( 4 ) = LCE( XS, XX, LX )
2003 ISAME( 5 ) = INCXS.EQ.INCX
2004 IF( NULL )THEN
2005 ISAME( 6 ) = LCE( AS, AA, LAA )
2006 ELSE
2007 ISAME( 6 ) = LCERES( SNAME( 8: 9 ), UPLO, N, N, AS,
2008 $ AA, LDA )
2009 END IF
2010 IF( .NOT.PACKED )THEN
2011 ISAME( 7 ) = LDAS.EQ.LDA
2012 END IF
2013 *
2014 * If data was incorrectly changed, report and return.
2015 *
2016 SAME = .TRUE.
2017 DO 30 I = 1, NARGS
2018 SAME = SAME.AND.ISAME( I )
2019 IF( .NOT.ISAME( I ) )
2020 $ WRITE( NOUT, FMT = 9998 )I
2021 30 CONTINUE
2022 IF( .NOT.SAME )THEN
2023 FATAL = .TRUE.
2024 GO TO 120
2025 END IF
2026 *
2027 IF( .NOT.NULL )THEN
2028 *
2029 * Check the result column by column.
2030 *
2031 IF( INCX.GT.0 )THEN
2032 DO 40 I = 1, N
2033 Z( I ) = X( I )
2034 40 CONTINUE
2035 ELSE
2036 DO 50 I = 1, N
2037 Z( I ) = X( N - I + 1 )
2038 50 CONTINUE
2039 END IF
2040 JA = 1
2041 DO 60 J = 1, N
2042 W( 1 ) = CONJG( Z( J ) )
2043 IF( UPPER )THEN
2044 JJ = 1
2045 LJ = J
2046 ELSE
2047 JJ = J
2048 LJ = N - J + 1
2049 END IF
2050 CALL CMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W,
2051 $ 1, ONE, A( JJ, J ), 1, YT, G,
2052 $ AA( JA ), EPS, ERR, FATAL, NOUT,
2053 $ .TRUE. )
2054 IF( FULL )THEN
2055 IF( UPPER )THEN
2056 JA = JA + LDA
2057 ELSE
2058 JA = JA + LDA + 1
2059 END IF
2060 ELSE
2061 JA = JA + LJ
2062 END IF
2063 ERRMAX = MAX( ERRMAX, ERR )
2064 * If got really bad answer, report and return.
2065 IF( FATAL )
2066 $ GO TO 110
2067 60 CONTINUE
2068 ELSE
2069 * Avoid repeating tests if N.le.0.
2070 IF( N.LE.0 )
2071 $ GO TO 100
2072 END IF
2073 *
2074 70 CONTINUE
2075 *
2076 80 CONTINUE
2077 *
2078 90 CONTINUE
2079 *
2080 100 CONTINUE
2081 *
2082 * Report result.
2083 *
2084 IF( ERRMAX.LT.THRESH )THEN
2085 WRITE( NOUT, FMT = 9999 )SNAME, NC
2086 ELSE
2087 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2088 END IF
2089 GO TO 130
2090 *
2091 110 CONTINUE
2092 WRITE( NOUT, FMT = 9995 )J
2093 *
2094 120 CONTINUE
2095 WRITE( NOUT, FMT = 9996 )SNAME
2096 IF( FULL )THEN
2097 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, RALPHA, INCX, LDA
2098 ELSE IF( PACKED )THEN
2099 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, RALPHA, INCX
2100 END IF
2101 *
2102 130 CONTINUE
2103 RETURN
2104 *
2105 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
2106 $ 'S)' )
2107 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
2108 $ 'ANGED INCORRECTLY *******' )
2109 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
2110 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
2111 $ ' - SUSPECT *******' )
2112 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
2113 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
2114 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
2115 $ I2, ', AP) .' )
2116 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
2117 $ I2, ', A,', I3, ') .' )
2118 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
2119 $ '******' )
2120 *
2121 * End of CCHK5.
2122 *
2123 END
2124 SUBROUTINE CCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
2125 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
2126 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
2127 $ Z, IORDER )
2128 *
2129 * Tests CHER2 and CHPR2.
2130 *
2131 * Auxiliary routine for test program for Level 2 Blas.
2132 *
2133 * -- Written on 10-August-1987.
2134 * Richard Hanson, Sandia National Labs.
2135 * Jeremy Du Croz, NAG Central Office.
2136 *
2137 * .. Parameters ..
2138 COMPLEX ZERO, HALF, ONE
2139 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
2140 $ ONE = ( 1.0, 0.0 ) )
2141 REAL RZERO
2142 PARAMETER ( RZERO = 0.0 )
2143 * .. Scalar Arguments ..
2144 REAL EPS, THRESH
2145 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
2146 $ IORDER
2147 LOGICAL FATAL, REWI, TRACE
2148 CHARACTER*12 SNAME
2149 * .. Array Arguments ..
2150 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
2151 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
2152 $ XX( NMAX*INCMAX ), Y( NMAX ),
2153 $ YS( NMAX*INCMAX ), YT( NMAX ),
2154 $ YY( NMAX*INCMAX ), Z( NMAX, 2 )
2155 REAL G( NMAX )
2156 INTEGER IDIM( NIDIM ), INC( NINC )
2157 * .. Local Scalars ..
2158 COMPLEX ALPHA, ALS, TRANSL
2159 REAL ERR, ERRMAX
2160 INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX,
2161 $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
2162 $ NARGS, NC, NS
2163 LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
2164 CHARACTER*1 UPLO, UPLOS
2165 CHARACTER*14 CUPLO
2166 CHARACTER*2 ICH
2167 * .. Local Arrays ..
2168 COMPLEX W( 2 )
2169 LOGICAL ISAME( 13 )
2170 * .. External Functions ..
2171 LOGICAL LCE, LCERES
2172 EXTERNAL LCE, LCERES
2173 * .. External Subroutines ..
2174 EXTERNAL CCHER2, CCHPR2, CMAKE, CMVCH
2175 * .. Intrinsic Functions ..
2176 INTRINSIC ABS, CONJG, MAX
2177 * .. Scalars in Common ..
2178 INTEGER INFOT, NOUTC
2179 LOGICAL OK
2180 * .. Common blocks ..
2181 COMMON /INFOC/INFOT, NOUTC, OK
2182 * .. Data statements ..
2183 DATA ICH/'UL'/
2184 * .. Executable Statements ..
2185 FULL = SNAME( 9: 9 ).EQ.'e'
2186 PACKED = SNAME( 9: 9 ).EQ.'p'
2187 * Define the number of arguments.
2188 IF( FULL )THEN
2189 NARGS = 9
2190 ELSE IF( PACKED )THEN
2191 NARGS = 8
2192 END IF
2193 *
2194 NC = 0
2195 RESET = .TRUE.
2196 ERRMAX = RZERO
2197 *
2198 DO 140 IN = 1, NIDIM
2199 N = IDIM( IN )
2200 * Set LDA to 1 more than minimum value if room.
2201 LDA = N
2202 IF( LDA.LT.NMAX )
2203 $ LDA = LDA + 1
2204 * Skip tests if not enough room.
2205 IF( LDA.GT.NMAX )
2206 $ GO TO 140
2207 IF( PACKED )THEN
2208 LAA = ( N*( N + 1 ) )/2
2209 ELSE
2210 LAA = LDA*N
2211 END IF
2212 *
2213 DO 130 IC = 1, 2
2214 UPLO = ICH( IC: IC )
2215 IF (UPLO.EQ.'U')THEN
2216 CUPLO = ' CblasUpper'
2217 ELSE
2218 CUPLO = ' CblasLower'
2219 END IF
2220 UPPER = UPLO.EQ.'U'
2221 *
2222 DO 120 IX = 1, NINC
2223 INCX = INC( IX )
2224 LX = ABS( INCX )*N
2225 *
2226 * Generate the vector X.
2227 *
2228 TRANSL = HALF
2229 CALL CMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
2230 $ 0, N - 1, RESET, TRANSL )
2231 IF( N.GT.1 )THEN
2232 X( N/2 ) = ZERO
2233 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
2234 END IF
2235 *
2236 DO 110 IY = 1, NINC
2237 INCY = INC( IY )
2238 LY = ABS( INCY )*N
2239 *
2240 * Generate the vector Y.
2241 *
2242 TRANSL = ZERO
2243 CALL CMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
2244 $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
2245 IF( N.GT.1 )THEN
2246 Y( N/2 ) = ZERO
2247 YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
2248 END IF
2249 *
2250 DO 100 IA = 1, NALF
2251 ALPHA = ALF( IA )
2252 NULL = N.LE.0.OR.ALPHA.EQ.ZERO
2253 *
2254 * Generate the matrix A.
2255 *
2256 TRANSL = ZERO
2257 CALL CMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
2258 $ NMAX, AA, LDA, N - 1, N - 1, RESET,
2259 $ TRANSL )
2260 *
2261 NC = NC + 1
2262 *
2263 * Save every datum before calling the subroutine.
2264 *
2265 UPLOS = UPLO
2266 NS = N
2267 ALS = ALPHA
2268 DO 10 I = 1, LAA
2269 AS( I ) = AA( I )
2270 10 CONTINUE
2271 LDAS = LDA
2272 DO 20 I = 1, LX
2273 XS( I ) = XX( I )
2274 20 CONTINUE
2275 INCXS = INCX
2276 DO 30 I = 1, LY
2277 YS( I ) = YY( I )
2278 30 CONTINUE
2279 INCYS = INCY
2280 *
2281 * Call the subroutine.
2282 *
2283 IF( FULL )THEN
2284 IF( TRACE )
2285 $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
2286 $ ALPHA, INCX, INCY, LDA
2287 IF( REWI )
2288 $ REWIND NTRA
2289 CALL CCHER2( IORDER, UPLO, N, ALPHA, XX, INCX,
2290 $ YY, INCY, AA, LDA )
2291 ELSE IF( PACKED )THEN
2292 IF( TRACE )
2293 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
2294 $ ALPHA, INCX, INCY
2295 IF( REWI )
2296 $ REWIND NTRA
2297 CALL CCHPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
2298 $ YY, INCY, AA )
2299 END IF
2300 *
2301 * Check if error-exit was taken incorrectly.
2302 *
2303 IF( .NOT.OK )THEN
2304 WRITE( NOUT, FMT = 9992 )
2305 FATAL = .TRUE.
2306 GO TO 160
2307 END IF
2308 *
2309 * See what data changed inside subroutines.
2310 *
2311 ISAME( 1 ) = UPLO.EQ.UPLOS
2312 ISAME( 2 ) = NS.EQ.N
2313 ISAME( 3 ) = ALS.EQ.ALPHA
2314 ISAME( 4 ) = LCE( XS, XX, LX )
2315 ISAME( 5 ) = INCXS.EQ.INCX
2316 ISAME( 6 ) = LCE( YS, YY, LY )
2317 ISAME( 7 ) = INCYS.EQ.INCY
2318 IF( NULL )THEN
2319 ISAME( 8 ) = LCE( AS, AA, LAA )
2320 ELSE
2321 ISAME( 8 ) = LCERES( SNAME( 8: 9 ), UPLO, N, N,
2322 $ AS, AA, LDA )
2323 END IF
2324 IF( .NOT.PACKED )THEN
2325 ISAME( 9 ) = LDAS.EQ.LDA
2326 END IF
2327 *
2328 * If data was incorrectly changed, report and return.
2329 *
2330 SAME = .TRUE.
2331 DO 40 I = 1, NARGS
2332 SAME = SAME.AND.ISAME( I )
2333 IF( .NOT.ISAME( I ) )
2334 $ WRITE( NOUT, FMT = 9998 )I
2335 40 CONTINUE
2336 IF( .NOT.SAME )THEN
2337 FATAL = .TRUE.
2338 GO TO 160
2339 END IF
2340 *
2341 IF( .NOT.NULL )THEN
2342 *
2343 * Check the result column by column.
2344 *
2345 IF( INCX.GT.0 )THEN
2346 DO 50 I = 1, N
2347 Z( I, 1 ) = X( I )
2348 50 CONTINUE
2349 ELSE
2350 DO 60 I = 1, N
2351 Z( I, 1 ) = X( N - I + 1 )
2352 60 CONTINUE
2353 END IF
2354 IF( INCY.GT.0 )THEN
2355 DO 70 I = 1, N
2356 Z( I, 2 ) = Y( I )
2357 70 CONTINUE
2358 ELSE
2359 DO 80 I = 1, N
2360 Z( I, 2 ) = Y( N - I + 1 )
2361 80 CONTINUE
2362 END IF
2363 JA = 1
2364 DO 90 J = 1, N
2365 W( 1 ) = ALPHA*CONJG( Z( J, 2 ) )
2366 W( 2 ) = CONJG( ALPHA )*CONJG( Z( J, 1 ) )
2367 IF( UPPER )THEN
2368 JJ = 1
2369 LJ = J
2370 ELSE
2371 JJ = J
2372 LJ = N - J + 1
2373 END IF
2374 CALL CMVCH( 'N', LJ, 2, ONE, Z( JJ, 1 ),
2375 $ NMAX, W, 1, ONE, A( JJ, J ), 1,
2376 $ YT, G, AA( JA ), EPS, ERR, FATAL,
2377 $ NOUT, .TRUE. )
2378 IF( FULL )THEN
2379 IF( UPPER )THEN
2380 JA = JA + LDA
2381 ELSE
2382 JA = JA + LDA + 1
2383 END IF
2384 ELSE
2385 JA = JA + LJ
2386 END IF
2387 ERRMAX = MAX( ERRMAX, ERR )
2388 * If got really bad answer, report and return.
2389 IF( FATAL )
2390 $ GO TO 150
2391 90 CONTINUE
2392 ELSE
2393 * Avoid repeating tests with N.le.0.
2394 IF( N.LE.0 )
2395 $ GO TO 140
2396 END IF
2397 *
2398 100 CONTINUE
2399 *
2400 110 CONTINUE
2401 *
2402 120 CONTINUE
2403 *
2404 130 CONTINUE
2405 *
2406 140 CONTINUE
2407 *
2408 * Report result.
2409 *
2410 IF( ERRMAX.LT.THRESH )THEN
2411 WRITE( NOUT, FMT = 9999 )SNAME, NC
2412 ELSE
2413 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2414 END IF
2415 GO TO 170
2416 *
2417 150 CONTINUE
2418 WRITE( NOUT, FMT = 9995 )J
2419 *
2420 160 CONTINUE
2421 WRITE( NOUT, FMT = 9996 )SNAME
2422 IF( FULL )THEN
2423 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
2424 $ INCY, LDA
2425 ELSE IF( PACKED )THEN
2426 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
2427 END IF
2428 *
2429 170 CONTINUE
2430 RETURN
2431 *
2432 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
2433 $ 'S)' )
2434 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
2435 $ 'ANGED INCORRECTLY *******' )
2436 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
2437 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
2438 $ ' - SUSPECT *******' )
2439 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
2440 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
2441 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
2442 $ F4.1, '), X,', I2, ', Y,', I2, ', AP) .' )
2443 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
2444 $ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
2445 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
2446 $ '******' )
2447 *
2448 * End of CCHK6.
2449 *
2450 END
2451 SUBROUTINE CMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
2452 $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
2453 *
2454 * Checks the results of the computational tests.
2455 *
2456 * Auxiliary routine for test program for Level 2 Blas.
2457 *
2458 * -- Written on 10-August-1987.
2459 * Richard Hanson, Sandia National Labs.
2460 * Jeremy Du Croz, NAG Central Office.
2461 *
2462 * .. Parameters ..
2463 COMPLEX ZERO
2464 PARAMETER ( ZERO = ( 0.0, 0.0 ) )
2465 REAL RZERO, RONE
2466 PARAMETER ( RZERO = 0.0, RONE = 1.0 )
2467 * .. Scalar Arguments ..
2468 COMPLEX ALPHA, BETA
2469 REAL EPS, ERR
2470 INTEGER INCX, INCY, M, N, NMAX, NOUT
2471 LOGICAL FATAL, MV
2472 CHARACTER*1 TRANS
2473 * .. Array Arguments ..
2474 COMPLEX A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
2475 REAL G( * )
2476 * .. Local Scalars ..
2477 COMPLEX C
2478 REAL ERRI
2479 INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
2480 LOGICAL CTRAN, TRAN
2481 * .. Intrinsic Functions ..
2482 INTRINSIC ABS, AIMAG, CONJG, MAX, REAL, SQRT
2483 * .. Statement Functions ..
2484 REAL ABS1
2485 * .. Statement Function definitions ..
2486 ABS1( C ) = ABS( REAL( C ) ) + ABS( AIMAG( C ) )
2487 * .. Executable Statements ..
2488 TRAN = TRANS.EQ.'T'
2489 CTRAN = TRANS.EQ.'C'
2490 IF( TRAN.OR.CTRAN )THEN
2491 ML = N
2492 NL = M
2493 ELSE
2494 ML = M
2495 NL = N
2496 END IF
2497 IF( INCX.LT.0 )THEN
2498 KX = NL
2499 INCXL = -1
2500 ELSE
2501 KX = 1
2502 INCXL = 1
2503 END IF
2504 IF( INCY.LT.0 )THEN
2505 KY = ML
2506 INCYL = -1
2507 ELSE
2508 KY = 1
2509 INCYL = 1
2510 END IF
2511 *
2512 * Compute expected result in YT using data in A, X and Y.
2513 * Compute gauges in G.
2514 *
2515 IY = KY
2516 DO 40 I = 1, ML
2517 YT( IY ) = ZERO
2518 G( IY ) = RZERO
2519 JX = KX
2520 IF( TRAN )THEN
2521 DO 10 J = 1, NL
2522 YT( IY ) = YT( IY ) + A( J, I )*X( JX )
2523 G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2524 JX = JX + INCXL
2525 10 CONTINUE
2526 ELSE IF( CTRAN )THEN
2527 DO 20 J = 1, NL
2528 YT( IY ) = YT( IY ) + CONJG( A( J, I ) )*X( JX )
2529 G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2530 JX = JX + INCXL
2531 20 CONTINUE
2532 ELSE
2533 DO 30 J = 1, NL
2534 YT( IY ) = YT( IY ) + A( I, J )*X( JX )
2535 G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
2536 JX = JX + INCXL
2537 30 CONTINUE
2538 END IF
2539 YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
2540 G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) )
2541 IY = IY + INCYL
2542 40 CONTINUE
2543 *
2544 * Compute the error ratio for this result.
2545 *
2546 ERR = ZERO
2547 DO 50 I = 1, ML
2548 ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
2549 IF( G( I ).NE.RZERO )
2550 $ ERRI = ERRI/G( I )
2551 ERR = MAX( ERR, ERRI )
2552 IF( ERR*SQRT( EPS ).GE.RONE )
2553 $ GO TO 60
2554 50 CONTINUE
2555 * If the loop completes, all results are at least half accurate.
2556 GO TO 80
2557 *
2558 * Report fatal error.
2559 *
2560 60 FATAL = .TRUE.
2561 WRITE( NOUT, FMT = 9999 )
2562 DO 70 I = 1, ML
2563 IF( MV )THEN
2564 WRITE( NOUT, FMT = 9998 )I, YT( I ),
2565 $ YY( 1 + ( I - 1 )*ABS( INCY ) )
2566 ELSE
2567 WRITE( NOUT, FMT = 9998 )I,
2568 $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I )
2569 END IF
2570 70 CONTINUE
2571 *
2572 80 CONTINUE
2573 RETURN
2574 *
2575 9999 FORMAT(' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
2576 $ 'F ACCURATE *******', /' EXPECTED RE',
2577 $ 'SULT COMPUTED RESULT' )
2578 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
2579 *
2580 * End of CMVCH.
2581 *
2582 END
2583 LOGICAL FUNCTION LCE( RI, RJ, LR )
2584 *
2585 * Tests if two arrays are identical.
2586 *
2587 * Auxiliary routine for test program for Level 2 Blas.
2588 *
2589 * -- Written on 10-August-1987.
2590 * Richard Hanson, Sandia National Labs.
2591 * Jeremy Du Croz, NAG Central Office.
2592 *
2593 * .. Scalar Arguments ..
2594 INTEGER LR
2595 * .. Array Arguments ..
2596 COMPLEX RI( * ), RJ( * )
2597 * .. Local Scalars ..
2598 INTEGER I
2599 * .. Executable Statements ..
2600 DO 10 I = 1, LR
2601 IF( RI( I ).NE.RJ( I ) )
2602 $ GO TO 20
2603 10 CONTINUE
2604 LCE = .TRUE.
2605 GO TO 30
2606 20 CONTINUE
2607 LCE = .FALSE.
2608 30 RETURN
2609 *
2610 * End of LCE.
2611 *
2612 END
2613 LOGICAL FUNCTION LCERES( TYPE, UPLO, M, N, AA, AS, LDA )
2614 *
2615 * Tests if selected elements in two arrays are equal.
2616 *
2617 * TYPE is 'ge', 'he' or 'hp'.
2618 *
2619 * Auxiliary routine for test program for Level 2 Blas.
2620 *
2621 * -- Written on 10-August-1987.
2622 * Richard Hanson, Sandia National Labs.
2623 * Jeremy Du Croz, NAG Central Office.
2624 *
2625 * .. Scalar Arguments ..
2626 INTEGER LDA, M, N
2627 CHARACTER*1 UPLO
2628 CHARACTER*2 TYPE
2629 * .. Array Arguments ..
2630 COMPLEX AA( LDA, * ), AS( LDA, * )
2631 * .. Local Scalars ..
2632 INTEGER I, IBEG, IEND, J
2633 LOGICAL UPPER
2634 * .. Executable Statements ..
2635 UPPER = UPLO.EQ.'U'
2636 IF( TYPE.EQ.'ge' )THEN
2637 DO 20 J = 1, N
2638 DO 10 I = M + 1, LDA
2639 IF( AA( I, J ).NE.AS( I, J ) )
2640 $ GO TO 70
2641 10 CONTINUE
2642 20 CONTINUE
2643 ELSE IF( TYPE.EQ.'he' )THEN
2644 DO 50 J = 1, N
2645 IF( UPPER )THEN
2646 IBEG = 1
2647 IEND = J
2648 ELSE
2649 IBEG = J
2650 IEND = N
2651 END IF
2652 DO 30 I = 1, IBEG - 1
2653 IF( AA( I, J ).NE.AS( I, J ) )
2654 $ GO TO 70
2655 30 CONTINUE
2656 DO 40 I = IEND + 1, LDA
2657 IF( AA( I, J ).NE.AS( I, J ) )
2658 $ GO TO 70
2659 40 CONTINUE
2660 50 CONTINUE
2661 END IF
2662 *
2663 60 CONTINUE
2664 LCERES = .TRUE.
2665 GO TO 80
2666 70 CONTINUE
2667 LCERES = .FALSE.
2668 80 RETURN
2669 *
2670 * End of LCERES.
2671 *
2672 END
2673 COMPLEX FUNCTION CBEG( RESET )
2674 *
2675 * Generates complex numbers as pairs of random numbers uniformly
2676 * distributed between -0.5 and 0.5.
2677 *
2678 * Auxiliary routine for test program for Level 2 Blas.
2679 *
2680 * -- Written on 10-August-1987.
2681 * Richard Hanson, Sandia National Labs.
2682 * Jeremy Du Croz, NAG Central Office.
2683 *
2684 * .. Scalar Arguments ..
2685 LOGICAL RESET
2686 * .. Local Scalars ..
2687 INTEGER I, IC, J, MI, MJ
2688 * .. Save statement ..
2689 SAVE I, IC, J, MI, MJ
2690 * .. Intrinsic Functions ..
2691 INTRINSIC CMPLX
2692 * .. Executable Statements ..
2693 IF( RESET )THEN
2694 * Initialize local variables.
2695 MI = 891
2696 MJ = 457
2697 I = 7
2698 J = 7
2699 IC = 0
2700 RESET = .FALSE.
2701 END IF
2702 *
2703 * The sequence of values of I or J is bounded between 1 and 999.
2704 * If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
2705 * If initial I or J = 4 or 8, the period will be 25.
2706 * If initial I or J = 5, the period will be 10.
2707 * IC is used to break up the period by skipping 1 value of I or J
2708 * in 6.
2709 *
2710 IC = IC + 1
2711 10 I = I*MI
2712 J = J*MJ
2713 I = I - 1000*( I/1000 )
2714 J = J - 1000*( J/1000 )
2715 IF( IC.GE.5 )THEN
2716 IC = 0
2717 GO TO 10
2718 END IF
2719 CBEG = CMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
2720 RETURN
2721 *
2722 * End of CBEG.
2723 *
2724 END
2725 REAL FUNCTION SDIFF( X, Y )
2726 *
2727 * Auxiliary routine for test program for Level 2 Blas.
2728 *
2729 * -- Written on 10-August-1987.
2730 * Richard Hanson, Sandia National Labs.
2731 *
2732 * .. Scalar Arguments ..
2733 REAL X, Y
2734 * .. Executable Statements ..
2735 SDIFF = X - Y
2736 RETURN
2737 *
2738 * End of SDIFF.
2739 *
2740 END
2741 SUBROUTINE CMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
2742 $ KU, RESET, TRANSL )
2743 *
2744 * Generates values for an M by N matrix A within the bandwidth
2745 * defined by KL and KU.
2746 * Stores the values in the array AA in the data structure required
2747 * by the routine, with unwanted elements set to rogue value.
2748 *
2749 * TYPE is 'ge', 'gb', 'he', 'hb', 'hp', 'tr', 'tb' OR 'tp'.
2750 *
2751 * Auxiliary routine for test program for Level 2 Blas.
2752 *
2753 * -- Written on 10-August-1987.
2754 * Richard Hanson, Sandia National Labs.
2755 * Jeremy Du Croz, NAG Central Office.
2756 *
2757 * .. Parameters ..
2758 COMPLEX ZERO, ONE
2759 PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) )
2760 COMPLEX ROGUE
2761 PARAMETER ( ROGUE = ( -1.0E10, 1.0E10 ) )
2762 REAL RZERO
2763 PARAMETER ( RZERO = 0.0 )
2764 REAL RROGUE
2765 PARAMETER ( RROGUE = -1.0E10 )
2766 * .. Scalar Arguments ..
2767 COMPLEX TRANSL
2768 INTEGER KL, KU, LDA, M, N, NMAX
2769 LOGICAL RESET
2770 CHARACTER*1 DIAG, UPLO
2771 CHARACTER*2 TYPE
2772 * .. Array Arguments ..
2773 COMPLEX A( NMAX, * ), AA( * )
2774 * .. Local Scalars ..
2775 INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK
2776 LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
2777 * .. External Functions ..
2778 COMPLEX CBEG
2779 EXTERNAL CBEG
2780 * .. Intrinsic Functions ..
2781 INTRINSIC CMPLX, CONJG, MAX, MIN, REAL
2782 * .. Executable Statements ..
2783 GEN = TYPE( 1: 1 ).EQ.'g'
2784 SYM = TYPE( 1: 1 ).EQ.'h'
2785 TRI = TYPE( 1: 1 ).EQ.'t'
2786 UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
2787 LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
2788 UNIT = TRI.AND.DIAG.EQ.'U'
2789 *
2790 * Generate data in array A.
2791 *
2792 DO 20 J = 1, N
2793 DO 10 I = 1, M
2794 IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
2795 $ THEN
2796 IF( ( I.LE.J.AND.J - I.LE.KU ).OR.
2797 $ ( I.GE.J.AND.I - J.LE.KL ) )THEN
2798 A( I, J ) = CBEG( RESET ) + TRANSL
2799 ELSE
2800 A( I, J ) = ZERO
2801 END IF
2802 IF( I.NE.J )THEN
2803 IF( SYM )THEN
2804 A( J, I ) = CONJG( A( I, J ) )
2805 ELSE IF( TRI )THEN
2806 A( J, I ) = ZERO
2807 END IF
2808 END IF
2809 END IF
2810 10 CONTINUE
2811 IF( SYM )
2812 $ A( J, J ) = CMPLX( REAL( A( J, J ) ), RZERO )
2813 IF( TRI )
2814 $ A( J, J ) = A( J, J ) + ONE
2815 IF( UNIT )
2816 $ A( J, J ) = ONE
2817 20 CONTINUE
2818 *
2819 * Store elements in array AS in data structure required by routine.
2820 *
2821 IF( TYPE.EQ.'ge' )THEN
2822 DO 50 J = 1, N
2823 DO 30 I = 1, M
2824 AA( I + ( J - 1 )*LDA ) = A( I, J )
2825 30 CONTINUE
2826 DO 40 I = M + 1, LDA
2827 AA( I + ( J - 1 )*LDA ) = ROGUE
2828 40 CONTINUE
2829 50 CONTINUE
2830 ELSE IF( TYPE.EQ.'gb' )THEN
2831 DO 90 J = 1, N
2832 DO 60 I1 = 1, KU + 1 - J
2833 AA( I1 + ( J - 1 )*LDA ) = ROGUE
2834 60 CONTINUE
2835 DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
2836 AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J )
2837 70 CONTINUE
2838 DO 80 I3 = I2, LDA
2839 AA( I3 + ( J - 1 )*LDA ) = ROGUE
2840 80 CONTINUE
2841 90 CONTINUE
2842 ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'tr' )THEN
2843 DO 130 J = 1, N
2844 IF( UPPER )THEN
2845 IBEG = 1
2846 IF( UNIT )THEN
2847 IEND = J - 1
2848 ELSE
2849 IEND = J
2850 END IF
2851 ELSE
2852 IF( UNIT )THEN
2853 IBEG = J + 1
2854 ELSE
2855 IBEG = J
2856 END IF
2857 IEND = N
2858 END IF
2859 DO 100 I = 1, IBEG - 1
2860 AA( I + ( J - 1 )*LDA ) = ROGUE
2861 100 CONTINUE
2862 DO 110 I = IBEG, IEND
2863 AA( I + ( J - 1 )*LDA ) = A( I, J )
2864 110 CONTINUE
2865 DO 120 I = IEND + 1, LDA
2866 AA( I + ( J - 1 )*LDA ) = ROGUE
2867 120 CONTINUE
2868 IF( SYM )THEN
2869 JJ = J + ( J - 1 )*LDA
2870 AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE )
2871 END IF
2872 130 CONTINUE
2873 ELSE IF( TYPE.EQ.'hb'.OR.TYPE.EQ.'tb' )THEN
2874 DO 170 J = 1, N
2875 IF( UPPER )THEN
2876 KK = KL + 1
2877 IBEG = MAX( 1, KL + 2 - J )
2878 IF( UNIT )THEN
2879 IEND = KL
2880 ELSE
2881 IEND = KL + 1
2882 END IF
2883 ELSE
2884 KK = 1
2885 IF( UNIT )THEN
2886 IBEG = 2
2887 ELSE
2888 IBEG = 1
2889 END IF
2890 IEND = MIN( KL + 1, 1 + M - J )
2891 END IF
2892 DO 140 I = 1, IBEG - 1
2893 AA( I + ( J - 1 )*LDA ) = ROGUE
2894 140 CONTINUE
2895 DO 150 I = IBEG, IEND
2896 AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
2897 150 CONTINUE
2898 DO 160 I = IEND + 1, LDA
2899 AA( I + ( J - 1 )*LDA ) = ROGUE
2900 160 CONTINUE
2901 IF( SYM )THEN
2902 JJ = KK + ( J - 1 )*LDA
2903 AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE )
2904 END IF
2905 170 CONTINUE
2906 ELSE IF( TYPE.EQ.'hp'.OR.TYPE.EQ.'tp' )THEN
2907 IOFF = 0
2908 DO 190 J = 1, N
2909 IF( UPPER )THEN
2910 IBEG = 1
2911 IEND = J
2912 ELSE
2913 IBEG = J
2914 IEND = N
2915 END IF
2916 DO 180 I = IBEG, IEND
2917 IOFF = IOFF + 1
2918 AA( IOFF ) = A( I, J )
2919 IF( I.EQ.J )THEN
2920 IF( UNIT )
2921 $ AA( IOFF ) = ROGUE
2922 IF( SYM )
2923 $ AA( IOFF ) = CMPLX( REAL( AA( IOFF ) ), RROGUE )
2924 END IF
2925 180 CONTINUE
2926 190 CONTINUE
2927 END IF
2928 RETURN
2929 *
2930 * End of CMAKE.
2931 *
2932 END
2 *
3 * Test program for the COMPLEX Level 2 Blas.
4 *
5 * The program must be driven by a short data file. The first 17 records
6 * of the file are read using list-directed input, the last 17 records
7 * are read using the format ( A12, L2 ). An annotated example of a data
8 * file can be obtained by deleting the first 3 characters from the
9 * following 34 lines:
10 * 'CBLAT2.SNAP' NAME OF SNAPSHOT OUTPUT FILE
11 * -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0)
12 * F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD.
13 * F LOGICAL FLAG, T TO STOP ON FAILURES.
14 * T LOGICAL FLAG, T TO TEST ERROR EXITS.
15 * 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH
16 * 16.0 THRESHOLD VALUE OF TEST RATIO
17 * 6 NUMBER OF VALUES OF N
18 * 0 1 2 3 5 9 VALUES OF N
19 * 4 NUMBER OF VALUES OF K
20 * 0 1 2 4 VALUES OF K
21 * 4 NUMBER OF VALUES OF INCX AND INCY
22 * 1 2 -1 -2 VALUES OF INCX AND INCY
23 * 3 NUMBER OF VALUES OF ALPHA
24 * (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA
25 * 3 NUMBER OF VALUES OF BETA
26 * (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA
27 * cblas_cgemv T PUT F FOR NO TEST. SAME COLUMNS.
28 * cblas_cgbmv T PUT F FOR NO TEST. SAME COLUMNS.
29 * cblas_chemv T PUT F FOR NO TEST. SAME COLUMNS.
30 * cblas_chbmv T PUT F FOR NO TEST. SAME COLUMNS.
31 * cblas_chpmv T PUT F FOR NO TEST. SAME COLUMNS.
32 * cblas_ctrmv T PUT F FOR NO TEST. SAME COLUMNS.
33 * cblas_ctbmv T PUT F FOR NO TEST. SAME COLUMNS.
34 * cblas_ctpmv T PUT F FOR NO TEST. SAME COLUMNS.
35 * cblas_ctrsv T PUT F FOR NO TEST. SAME COLUMNS.
36 * cblas_ctbsv T PUT F FOR NO TEST. SAME COLUMNS.
37 * cblas_ctpsv T PUT F FOR NO TEST. SAME COLUMNS.
38 * cblas_cgerc T PUT F FOR NO TEST. SAME COLUMNS.
39 * cblas_cgeru T PUT F FOR NO TEST. SAME COLUMNS.
40 * cblas_cher T PUT F FOR NO TEST. SAME COLUMNS.
41 * cblas_chpr T PUT F FOR NO TEST. SAME COLUMNS.
42 * cblas_cher2 T PUT F FOR NO TEST. SAME COLUMNS.
43 * cblas_chpr2 T PUT F FOR NO TEST. SAME COLUMNS.
44 *
45 * See:
46 *
47 * Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
48 * An extended set of Fortran Basic Linear Algebra Subprograms.
49 *
50 * Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
51 * and Computer Science Division, Argonne National Laboratory,
52 * 9700 South Cass Avenue, Argonne, Illinois 60439, US.
53 *
54 * Or
55 *
56 * NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
57 * Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
58 * OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
59 * Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
60 *
61 *
62 * -- Written on 10-August-1987.
63 * Richard Hanson, Sandia National Labs.
64 * Jeremy Du Croz, NAG Central Office.
65 *
66 * .. Parameters ..
67 INTEGER NIN, NOUT
68 PARAMETER ( NIN = 5, NOUT = 6 )
69 INTEGER NSUBS
70 PARAMETER ( NSUBS = 17 )
71 COMPLEX ZERO, ONE
72 PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) )
73 REAL RZERO, RHALF, RONE
74 PARAMETER ( RZERO = 0.0, RHALF = 0.5, RONE = 1.0 )
75 INTEGER NMAX, INCMAX
76 PARAMETER ( NMAX = 65, INCMAX = 2 )
77 INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
78 PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
79 $ NALMAX = 7, NBEMAX = 7 )
80 * .. Local Scalars ..
81 REAL EPS, ERR, THRESH
82 INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
83 $ NTRA, LAYOUT
84 LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
85 $ TSTERR, CORDER, RORDER
86 CHARACTER*1 TRANS
87 CHARACTER*12 SNAMET
88 CHARACTER*32 SNAPS
89 * .. Local Arrays ..
90 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ),
91 $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
92 $ X( NMAX ), XS( NMAX*INCMAX ),
93 $ XX( NMAX*INCMAX ), Y( NMAX ),
94 $ YS( NMAX*INCMAX ), YT( NMAX ),
95 $ YY( NMAX*INCMAX ), Z( 2*NMAX )
96 REAL G( NMAX )
97 INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
98 LOGICAL LTEST( NSUBS )
99 CHARACTER*12 SNAMES( NSUBS )
100 * .. External Functions ..
101 REAL SDIFF
102 LOGICAL LCE
103 EXTERNAL SDIFF, LCE
104 * .. External Subroutines ..
105 EXTERNAL CCHK1, CCHK2, CCHK3, CCHK4, CCHK5, CCHK6,
106 $ CC2CHKE, CMVCH
107 * .. Intrinsic Functions ..
108 INTRINSIC ABS, MAX, MIN
109 * .. Scalars in Common ..
110 INTEGER INFOT, NOUTC
111 LOGICAL OK
112 CHARACTER*12 SRNAMT
113 * .. Common blocks ..
114 COMMON /INFOC/INFOT, NOUTC, OK
115 COMMON /SRNAMC/SRNAMT
116 * .. Data statements ..
117 DATA SNAMES/'cblas_cgemv ', 'cblas_cgbmv ',
118 $ 'cblas_chemv ','cblas_chbmv ','cblas_chpmv ',
119 $ 'cblas_ctrmv ','cblas_ctbmv ','cblas_ctpmv ',
120 $ 'cblas_ctrsv ','cblas_ctbsv ','cblas_ctpsv ',
121 $ 'cblas_cgerc ','cblas_cgeru ','cblas_cher ',
122 $ 'cblas_chpr ','cblas_cher2 ','cblas_chpr2 '/
123 * .. Executable Statements ..
124 *
125 NOUTC = NOUT
126 *
127 * Read name and unit number for summary output file and open file.
128 *
129 READ( NIN, FMT = * )SNAPS
130 READ( NIN, FMT = * )NTRA
131 TRACE = NTRA.GE.0
132 IF( TRACE )THEN
133 OPEN( NTRA, FILE = SNAPS )
134 END IF
135 * Read the flag that directs rewinding of the snapshot file.
136 READ( NIN, FMT = * )REWI
137 REWI = REWI.AND.TRACE
138 * Read the flag that directs stopping on any failure.
139 READ( NIN, FMT = * )SFATAL
140 * Read the flag that indicates whether error exits are to be tested.
141 READ( NIN, FMT = * )TSTERR
142 * Read the flag that indicates whether row-major data layout to be tested.
143 READ( NIN, FMT = * )LAYOUT
144 * Read the threshold value of the test ratio
145 READ( NIN, FMT = * )THRESH
146 *
147 * Read and check the parameter values for the tests.
148 *
149 * Values of N
150 READ( NIN, FMT = * )NIDIM
151 IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
152 WRITE( NOUT, FMT = 9997 )'N', NIDMAX
153 GO TO 230
154 END IF
155 READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
156 DO 10 I = 1, NIDIM
157 IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
158 WRITE( NOUT, FMT = 9996 )NMAX
159 GO TO 230
160 END IF
161 10 CONTINUE
162 * Values of K
163 READ( NIN, FMT = * )NKB
164 IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
165 WRITE( NOUT, FMT = 9997 )'K', NKBMAX
166 GO TO 230
167 END IF
168 READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
169 DO 20 I = 1, NKB
170 IF( KB( I ).LT.0 )THEN
171 WRITE( NOUT, FMT = 9995 )
172 GO TO 230
173 END IF
174 20 CONTINUE
175 * Values of INCX and INCY
176 READ( NIN, FMT = * )NINC
177 IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN
178 WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX
179 GO TO 230
180 END IF
181 READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
182 DO 30 I = 1, NINC
183 IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
184 WRITE( NOUT, FMT = 9994 )INCMAX
185 GO TO 230
186 END IF
187 30 CONTINUE
188 * Values of ALPHA
189 READ( NIN, FMT = * )NALF
190 IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
191 WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
192 GO TO 230
193 END IF
194 READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
195 * Values of BETA
196 READ( NIN, FMT = * )NBET
197 IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
198 WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
199 GO TO 230
200 END IF
201 READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
202 *
203 * Report values of parameters.
204 *
205 WRITE( NOUT, FMT = 9993 )
206 WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
207 WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB )
208 WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC )
209 WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF )
210 WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET )
211 IF( .NOT.TSTERR )THEN
212 WRITE( NOUT, FMT = * )
213 WRITE( NOUT, FMT = 9980 )
214 END IF
215 WRITE( NOUT, FMT = * )
216 WRITE( NOUT, FMT = 9999 )THRESH
217 WRITE( NOUT, FMT = * )
218
219 RORDER = .FALSE.
220 CORDER = .FALSE.
221 IF (LAYOUT.EQ.2) THEN
222 RORDER = .TRUE.
223 CORDER = .TRUE.
224 WRITE( *, FMT = 10002 )
225 ELSE IF (LAYOUT.EQ.1) THEN
226 RORDER = .TRUE.
227 WRITE( *, FMT = 10001 )
228 ELSE IF (LAYOUT.EQ.0) THEN
229 CORDER = .TRUE.
230 WRITE( *, FMT = 10000 )
231 END IF
232 WRITE( *, FMT = * )
233 *
234 * Read names of subroutines and flags which indicate
235 * whether they are to be tested.
236 *
237 DO 40 I = 1, NSUBS
238 LTEST( I ) = .FALSE.
239 40 CONTINUE
240 50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT
241 DO 60 I = 1, NSUBS
242 IF( SNAMET.EQ.SNAMES( I ) )
243 $ GO TO 70
244 60 CONTINUE
245 WRITE( NOUT, FMT = 9986 )SNAMET
246 STOP
247 70 LTEST( I ) = LTESTT
248 GO TO 50
249 *
250 80 CONTINUE
251 CLOSE ( NIN )
252 *
253 * Compute EPS (the machine precision).
254 *
255 EPS = RONE
256 90 CONTINUE
257 IF( SDIFF( RONE + EPS, RONE ).EQ.RZERO )
258 $ GO TO 100
259 EPS = RHALF*EPS
260 GO TO 90
261 100 CONTINUE
262 EPS = EPS + EPS
263 WRITE( NOUT, FMT = 9998 )EPS
264 *
265 * Check the reliability of CMVCH using exact data.
266 *
267 N = MIN( 32, NMAX )
268 DO 120 J = 1, N
269 DO 110 I = 1, N
270 A( I, J ) = MAX( I - J + 1, 0 )
271 110 CONTINUE
272 X( J ) = J
273 Y( J ) = ZERO
274 120 CONTINUE
275 DO 130 J = 1, N
276 YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
277 130 CONTINUE
278 * YY holds the exact result. On exit from CMVCH YT holds
279 * the result computed by CMVCH.
280 TRANS = 'N'
281 CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
282 $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
283 SAME = LCE( YY, YT, N )
284 IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
285 WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
286 STOP
287 END IF
288 TRANS = 'T'
289 CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
290 $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
291 SAME = LCE( YY, YT, N )
292 IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
293 WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
294 STOP
295 END IF
296 *
297 * Test each subroutine in turn.
298 *
299 DO 210 ISNUM = 1, NSUBS
300 WRITE( NOUT, FMT = * )
301 IF( .NOT.LTEST( ISNUM ) )THEN
302 * Subprogram is not to be tested.
303 WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM )
304 ELSE
305 SRNAMT = SNAMES( ISNUM )
306 * Test error exits.
307 IF( TSTERR )THEN
308 CALL CC2CHKE( SNAMES( ISNUM ) )
309 WRITE( NOUT, FMT = * )
310 END IF
311 * Test computations.
312 INFOT = 0
313 OK = .TRUE.
314 FATAL = .FALSE.
315 GO TO ( 140, 140, 150, 150, 150, 160, 160,
316 $ 160, 160, 160, 160, 170, 170, 180,
317 $ 180, 190, 190 )ISNUM
318 * Test CGEMV, 01, and CGBMV, 02.
319 140 IF (CORDER) THEN
320 CALL CCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
321 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
322 $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
323 $ X, XX, XS, Y, YY, YS, YT, G, 0 )
324 END IF
325 IF (RORDER) THEN
326 CALL CCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
327 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
328 $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
329 $ X, XX, XS, Y, YY, YS, YT, G, 1 )
330 END IF
331 GO TO 200
332 * Test CHEMV, 03, CHBMV, 04, and CHPMV, 05.
333 150 IF (CORDER) THEN
334 CALL CCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
335 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
336 $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
337 $ X, XX, XS, Y, YY, YS, YT, G, 0 )
338 END IF
339 IF (RORDER) THEN
340 CALL CCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
341 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
342 $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
343 $ X, XX, XS, Y, YY, YS, YT, G, 1 )
344 END IF
345 GO TO 200
346 * Test CTRMV, 06, CTBMV, 07, CTPMV, 08,
347 * CTRSV, 09, CTBSV, 10, and CTPSV, 11.
348 160 IF (CORDER) THEN
349 CALL CCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
350 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
351 $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
352 $ 0 )
353 END IF
354 IF (RORDER) THEN
355 CALL CCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
356 $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
357 $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
358 $ 1 )
359 END IF
360 GO TO 200
361 * Test CGERC, 12, CGERU, 13.
362 170 IF (CORDER) THEN
363 CALL CCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
364 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
365 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
366 $ YT, G, Z, 0 )
367 END IF
368 IF (RORDER) THEN
369 CALL CCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
370 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
371 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
372 $ YT, G, Z, 1 )
373 END IF
374 GO TO 200
375 * Test CHER, 14, and CHPR, 15.
376 180 IF (CORDER) THEN
377 CALL CCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
378 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
379 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
380 $ YT, G, Z, 0 )
381 END IF
382 IF (RORDER) THEN
383 CALL CCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
384 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
385 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
386 $ YT, G, Z, 1 )
387 END IF
388 GO TO 200
389 * Test CHER2, 16, and CHPR2, 17.
390 190 IF (CORDER) THEN
391 CALL CCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
392 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
393 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
394 $ YT, G, Z, 0 )
395 END IF
396 IF (RORDER) THEN
397 CALL CCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
398 $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
399 $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
400 $ YT, G, Z, 1 )
401 END IF
402 *
403 200 IF( FATAL.AND.SFATAL )
404 $ GO TO 220
405 END IF
406 210 CONTINUE
407 WRITE( NOUT, FMT = 9982 )
408 GO TO 240
409 *
410 220 CONTINUE
411 WRITE( NOUT, FMT = 9981 )
412 GO TO 240
413 *
414 230 CONTINUE
415 WRITE( NOUT, FMT = 9987 )
416 *
417 240 CONTINUE
418 IF( TRACE )
419 $ CLOSE ( NTRA )
420 CLOSE ( NOUT )
421 STOP
422 *
423 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
424 10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
425 10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
426 9999 FORMAT(' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
427 $ 'S THAN', F8.2 )
428 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
429 9997 FORMAT(' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
430 $ 'THAN ', I2 )
431 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
432 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' )
433 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
434 $ I2 )
435 9993 FORMAT(' TESTS OF THE COMPLEX LEVEL 2 BLAS', //' THE F',
436 $ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
437 9992 FORMAT( ' FOR N ', 9I6 )
438 9991 FORMAT( ' FOR K ', 7I6 )
439 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 )
440 9989 FORMAT( ' FOR ALPHA ',
441 $ 7('(', F4.1, ',', F4.1, ') ', : ) )
442 9988 FORMAT( ' FOR BETA ',
443 $ 7('(', F4.1, ',', F4.1, ') ', : ) )
444 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
445 $ /' ******* TESTS ABANDONED *******' )
446 9986 FORMAT(' SUBPROGRAM NAME ',A12, ' NOT RECOGNIZED', /' ******* T',
447 $ 'ESTS ABANDONED *******' )
448 9985 FORMAT(' ERROR IN CMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
449 $ 'ATED WRONGLY.', /' CMVCH WAS CALLED WITH TRANS = ', A1,
450 $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', /
451 $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.'
452 $ , /' ******* TESTS ABANDONED *******' )
453 9984 FORMAT(A12, L2 )
454 9983 FORMAT( 1X,A12, ' WAS NOT TESTED' )
455 9982 FORMAT( /' END OF TESTS' )
456 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
457 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
458 *
459 * End of CBLAT2.
460 *
461 END
462 SUBROUTINE CCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
463 $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
464 $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
465 $ XS, Y, YY, YS, YT, G, IORDER )
466 *
467 * Tests CGEMV and CGBMV.
468 *
469 * Auxiliary routine for test program for Level 2 Blas.
470 *
471 * -- Written on 10-August-1987.
472 * Richard Hanson, Sandia National Labs.
473 * Jeremy Du Croz, NAG Central Office.
474 *
475 * .. Parameters ..
476 COMPLEX ZERO, HALF
477 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ) )
478 REAL RZERO
479 PARAMETER ( RZERO = 0.0 )
480 * .. Scalar Arguments ..
481 REAL EPS, THRESH
482 INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
483 $ NOUT, NTRA, IORDER
484 LOGICAL FATAL, REWI, TRACE
485 CHARACTER*12 SNAME
486 * .. Array Arguments ..
487 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
488 $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
489 $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
490 $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
491 $ YY( NMAX*INCMAX )
492 REAL G( NMAX )
493 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
494 * .. Local Scalars ..
495 COMPLEX ALPHA, ALS, BETA, BLS, TRANSL
496 REAL ERR, ERRMAX
497 INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
498 $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
499 $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
500 $ NL, NS
501 LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
502 CHARACTER*1 TRANS, TRANSS
503 CHARACTER*14 CTRANS
504 CHARACTER*3 ICH
505 * .. Local Arrays ..
506 LOGICAL ISAME( 13 )
507 * .. External Functions ..
508 LOGICAL LCE, LCERES
509 EXTERNAL LCE, LCERES
510 * .. External Subroutines ..
511 EXTERNAL CCGBMV, CCGEMV, CMAKE, CMVCH
512 * .. Intrinsic Functions ..
513 INTRINSIC ABS, MAX, MIN
514 * .. Scalars in Common ..
515 INTEGER INFOT, NOUTC
516 LOGICAL OK
517 * .. Common blocks ..
518 COMMON /INFOC/INFOT, NOUTC, OK
519 * .. Data statements ..
520 DATA ICH/'NTC'/
521 * .. Executable Statements ..
522 FULL = SNAME( 9: 9 ).EQ.'e'
523 BANDED = SNAME( 9: 9 ).EQ.'b'
524 * Define the number of arguments.
525 IF( FULL )THEN
526 NARGS = 11
527 ELSE IF( BANDED )THEN
528 NARGS = 13
529 END IF
530 *
531 NC = 0
532 RESET = .TRUE.
533 ERRMAX = RZERO
534 *
535 DO 120 IN = 1, NIDIM
536 N = IDIM( IN )
537 ND = N/2 + 1
538 *
539 DO 110 IM = 1, 2
540 IF( IM.EQ.1 )
541 $ M = MAX( N - ND, 0 )
542 IF( IM.EQ.2 )
543 $ M = MIN( N + ND, NMAX )
544 *
545 IF( BANDED )THEN
546 NK = NKB
547 ELSE
548 NK = 1
549 END IF
550 DO 100 IKU = 1, NK
551 IF( BANDED )THEN
552 KU = KB( IKU )
553 KL = MAX( KU - 1, 0 )
554 ELSE
555 KU = N - 1
556 KL = M - 1
557 END IF
558 * Set LDA to 1 more than minimum value if room.
559 IF( BANDED )THEN
560 LDA = KL + KU + 1
561 ELSE
562 LDA = M
563 END IF
564 IF( LDA.LT.NMAX )
565 $ LDA = LDA + 1
566 * Skip tests if not enough room.
567 IF( LDA.GT.NMAX )
568 $ GO TO 100
569 LAA = LDA*N
570 NULL = N.LE.0.OR.M.LE.0
571 *
572 * Generate the matrix A.
573 *
574 TRANSL = ZERO
575 CALL CMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
576 $ LDA, KL, KU, RESET, TRANSL )
577 *
578 DO 90 IC = 1, 3
579 TRANS = ICH( IC: IC )
580 IF (TRANS.EQ.'N')THEN
581 CTRANS = ' CblasNoTrans'
582 ELSE IF (TRANS.EQ.'T')THEN
583 CTRANS = ' CblasTrans'
584 ELSE
585 CTRANS = 'CblasConjTrans'
586 END IF
587 TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
588 *
589 IF( TRAN )THEN
590 ML = N
591 NL = M
592 ELSE
593 ML = M
594 NL = N
595 END IF
596 *
597 DO 80 IX = 1, NINC
598 INCX = INC( IX )
599 LX = ABS( INCX )*NL
600 *
601 * Generate the vector X.
602 *
603 TRANSL = HALF
604 CALL CMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
605 $ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
606 IF( NL.GT.1 )THEN
607 X( NL/2 ) = ZERO
608 XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
609 END IF
610 *
611 DO 70 IY = 1, NINC
612 INCY = INC( IY )
613 LY = ABS( INCY )*ML
614 *
615 DO 60 IA = 1, NALF
616 ALPHA = ALF( IA )
617 *
618 DO 50 IB = 1, NBET
619 BETA = BET( IB )
620 *
621 * Generate the vector Y.
622 *
623 TRANSL = ZERO
624 CALL CMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
625 $ YY, ABS( INCY ), 0, ML - 1,
626 $ RESET, TRANSL )
627 *
628 NC = NC + 1
629 *
630 * Save every datum before calling the
631 * subroutine.
632 *
633 TRANSS = TRANS
634 MS = M
635 NS = N
636 KLS = KL
637 KUS = KU
638 ALS = ALPHA
639 DO 10 I = 1, LAA
640 AS( I ) = AA( I )
641 10 CONTINUE
642 LDAS = LDA
643 DO 20 I = 1, LX
644 XS( I ) = XX( I )
645 20 CONTINUE
646 INCXS = INCX
647 BLS = BETA
648 DO 30 I = 1, LY
649 YS( I ) = YY( I )
650 30 CONTINUE
651 INCYS = INCY
652 *
653 * Call the subroutine.
654 *
655 IF( FULL )THEN
656 IF( TRACE )
657 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
658 $ CTRANS, M, N, ALPHA, LDA, INCX, BETA,
659 $ INCY
660 IF( REWI )
661 $ REWIND NTRA
662 CALL CCGEMV( IORDER, TRANS, M, N,
663 $ ALPHA, AA, LDA, XX, INCX,
664 $ BETA, YY, INCY )
665 ELSE IF( BANDED )THEN
666 IF( TRACE )
667 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
668 $ CTRANS, M, N, KL, KU, ALPHA, LDA,
669 $ INCX, BETA, INCY
670 IF( REWI )
671 $ REWIND NTRA
672 CALL CCGBMV( IORDER, TRANS, M, N, KL,
673 $ KU, ALPHA, AA, LDA, XX,
674 $ INCX, BETA, YY, INCY )
675 END IF
676 *
677 * Check if error-exit was taken incorrectly.
678 *
679 IF( .NOT.OK )THEN
680 WRITE( NOUT, FMT = 9993 )
681 FATAL = .TRUE.
682 GO TO 130
683 END IF
684 *
685 * See what data changed inside subroutines.
686 *
687 * IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN
688 ISAME( 1 ) = TRANS.EQ.TRANSS
689 ISAME( 2 ) = MS.EQ.M
690 ISAME( 3 ) = NS.EQ.N
691 IF( FULL )THEN
692 ISAME( 4 ) = ALS.EQ.ALPHA
693 ISAME( 5 ) = LCE( AS, AA, LAA )
694 ISAME( 6 ) = LDAS.EQ.LDA
695 ISAME( 7 ) = LCE( XS, XX, LX )
696 ISAME( 8 ) = INCXS.EQ.INCX
697 ISAME( 9 ) = BLS.EQ.BETA
698 IF( NULL )THEN
699 ISAME( 10 ) = LCE( YS, YY, LY )
700 ELSE
701 ISAME( 10 ) = LCERES( 'ge', ' ', 1,
702 $ ML, YS, YY,
703 $ ABS( INCY ) )
704 END IF
705 ISAME( 11 ) = INCYS.EQ.INCY
706 ELSE IF( BANDED )THEN
707 ISAME( 4 ) = KLS.EQ.KL
708 ISAME( 5 ) = KUS.EQ.KU
709 ISAME( 6 ) = ALS.EQ.ALPHA
710 ISAME( 7 ) = LCE( AS, AA, LAA )
711 ISAME( 8 ) = LDAS.EQ.LDA
712 ISAME( 9 ) = LCE( XS, XX, LX )
713 ISAME( 10 ) = INCXS.EQ.INCX
714 ISAME( 11 ) = BLS.EQ.BETA
715 IF( NULL )THEN
716 ISAME( 12 ) = LCE( YS, YY, LY )
717 ELSE
718 ISAME( 12 ) = LCERES( 'ge', ' ', 1,
719 $ ML, YS, YY,
720 $ ABS( INCY ) )
721 END IF
722 ISAME( 13 ) = INCYS.EQ.INCY
723 END IF
724 *
725 * If data was incorrectly changed, report
726 * and return.
727 *
728 SAME = .TRUE.
729 DO 40 I = 1, NARGS
730 SAME = SAME.AND.ISAME( I )
731 IF( .NOT.ISAME( I ) )
732 $ WRITE( NOUT, FMT = 9998 )I
733 40 CONTINUE
734 IF( .NOT.SAME )THEN
735 FATAL = .TRUE.
736 GO TO 130
737 END IF
738 *
739 IF( .NOT.NULL )THEN
740 *
741 * Check the result.
742 *
743 CALL CMVCH( TRANS, M, N, ALPHA, A,
744 $ NMAX, X, INCX, BETA, Y,
745 $ INCY, YT, G, YY, EPS, ERR,
746 $ FATAL, NOUT, .TRUE. )
747 ERRMAX = MAX( ERRMAX, ERR )
748 * If got really bad answer, report and
749 * return.
750 IF( FATAL )
751 $ GO TO 130
752 ELSE
753 * Avoid repeating tests with M.le.0 or
754 * N.le.0.
755 GO TO 110
756 END IF
757 * END IF
758 *
759 50 CONTINUE
760 *
761 60 CONTINUE
762 *
763 70 CONTINUE
764 *
765 80 CONTINUE
766 *
767 90 CONTINUE
768 *
769 100 CONTINUE
770 *
771 110 CONTINUE
772 *
773 120 CONTINUE
774 *
775 * Report result.
776 *
777 IF( ERRMAX.LT.THRESH )THEN
778 WRITE( NOUT, FMT = 9999 )SNAME, NC
779 ELSE
780 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
781 END IF
782 GO TO 140
783 *
784 130 CONTINUE
785 WRITE( NOUT, FMT = 9996 )SNAME
786 IF( FULL )THEN
787 WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
788 $ INCX, BETA, INCY
789 ELSE IF( BANDED )THEN
790 WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
791 $ ALPHA, LDA, INCX, BETA, INCY
792 END IF
793 *
794 140 CONTINUE
795 RETURN
796 *
797 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
798 $ 'S)' )
799 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
800 $ 'ANGED INCORRECTLY *******' )
801 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
802 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
803 $ ' - SUSPECT *******' )
804 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
805 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), '(',
806 $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
807 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
808 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
809 $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
810 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
811 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
812 $ '******' )
813 *
814 * End of CCHK1.
815 *
816 END
817 SUBROUTINE CCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
818 $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
819 $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
820 $ XS, Y, YY, YS, YT, G, IORDER )
821 *
822 * Tests CHEMV, CHBMV and CHPMV.
823 *
824 * Auxiliary routine for test program for Level 2 Blas.
825 *
826 * -- Written on 10-August-1987.
827 * Richard Hanson, Sandia National Labs.
828 * Jeremy Du Croz, NAG Central Office.
829 *
830 * .. Parameters ..
831 COMPLEX ZERO, HALF
832 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ) )
833 REAL RZERO
834 PARAMETER ( RZERO = 0.0 )
835 * .. Scalar Arguments ..
836 REAL EPS, THRESH
837 INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
838 $ NOUT, NTRA, IORDER
839 LOGICAL FATAL, REWI, TRACE
840 CHARACTER*12 SNAME
841 * .. Array Arguments ..
842 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
843 $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
844 $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
845 $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
846 $ YY( NMAX*INCMAX )
847 REAL G( NMAX )
848 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
849 * .. Local Scalars ..
850 COMPLEX ALPHA, ALS, BETA, BLS, TRANSL
851 REAL ERR, ERRMAX
852 INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY,
853 $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
854 $ N, NARGS, NC, NK, NS
855 LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
856 CHARACTER*1 UPLO, UPLOS
857 CHARACTER*14 CUPLO
858 CHARACTER*2 ICH
859 * .. Local Arrays ..
860 LOGICAL ISAME( 13 )
861 * .. External Functions ..
862 LOGICAL LCE, LCERES
863 EXTERNAL LCE, LCERES
864 * .. External Subroutines ..
865 EXTERNAL CCHBMV, CCHEMV, CCHPMV, CMAKE, CMVCH
866 * .. Intrinsic Functions ..
867 INTRINSIC ABS, MAX
868 * .. Scalars in Common ..
869 INTEGER INFOT, NOUTC
870 LOGICAL OK
871 * .. Common blocks ..
872 COMMON /INFOC/INFOT, NOUTC, OK
873 * .. Data statements ..
874 DATA ICH/'UL'/
875 * .. Executable Statements ..
876 FULL = SNAME( 9: 9 ).EQ.'e'
877 BANDED = SNAME( 9: 9 ).EQ.'b'
878 PACKED = SNAME( 9: 9 ).EQ.'p'
879 * Define the number of arguments.
880 IF( FULL )THEN
881 NARGS = 10
882 ELSE IF( BANDED )THEN
883 NARGS = 11
884 ELSE IF( PACKED )THEN
885 NARGS = 9
886 END IF
887 *
888 NC = 0
889 RESET = .TRUE.
890 ERRMAX = RZERO
891 *
892 DO 110 IN = 1, NIDIM
893 N = IDIM( IN )
894 *
895 IF( BANDED )THEN
896 NK = NKB
897 ELSE
898 NK = 1
899 END IF
900 DO 100 IK = 1, NK
901 IF( BANDED )THEN
902 K = KB( IK )
903 ELSE
904 K = N - 1
905 END IF
906 * Set LDA to 1 more than minimum value if room.
907 IF( BANDED )THEN
908 LDA = K + 1
909 ELSE
910 LDA = N
911 END IF
912 IF( LDA.LT.NMAX )
913 $ LDA = LDA + 1
914 * Skip tests if not enough room.
915 IF( LDA.GT.NMAX )
916 $ GO TO 100
917 IF( PACKED )THEN
918 LAA = ( N*( N + 1 ) )/2
919 ELSE
920 LAA = LDA*N
921 END IF
922 NULL = N.LE.0
923 *
924 DO 90 IC = 1, 2
925 UPLO = ICH( IC: IC )
926 IF (UPLO.EQ.'U')THEN
927 CUPLO = ' CblasUpper'
928 ELSE
929 CUPLO = ' CblasLower'
930 END IF
931 *
932 * Generate the matrix A.
933 *
934 TRANSL = ZERO
935 CALL CMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
936 $ LDA, K, K, RESET, TRANSL )
937 *
938 DO 80 IX = 1, NINC
939 INCX = INC( IX )
940 LX = ABS( INCX )*N
941 *
942 * Generate the vector X.
943 *
944 TRANSL = HALF
945 CALL CMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
946 $ ABS( INCX ), 0, N - 1, RESET, TRANSL )
947 IF( N.GT.1 )THEN
948 X( N/2 ) = ZERO
949 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
950 END IF
951 *
952 DO 70 IY = 1, NINC
953 INCY = INC( IY )
954 LY = ABS( INCY )*N
955 *
956 DO 60 IA = 1, NALF
957 ALPHA = ALF( IA )
958 *
959 DO 50 IB = 1, NBET
960 BETA = BET( IB )
961 *
962 * Generate the vector Y.
963 *
964 TRANSL = ZERO
965 CALL CMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
966 $ ABS( INCY ), 0, N - 1, RESET,
967 $ TRANSL )
968 *
969 NC = NC + 1
970 *
971 * Save every datum before calling the
972 * subroutine.
973 *
974 UPLOS = UPLO
975 NS = N
976 KS = K
977 ALS = ALPHA
978 DO 10 I = 1, LAA
979 AS( I ) = AA( I )
980 10 CONTINUE
981 LDAS = LDA
982 DO 20 I = 1, LX
983 XS( I ) = XX( I )
984 20 CONTINUE
985 INCXS = INCX
986 BLS = BETA
987 DO 30 I = 1, LY
988 YS( I ) = YY( I )
989 30 CONTINUE
990 INCYS = INCY
991 *
992 * Call the subroutine.
993 *
994 IF( FULL )THEN
995 IF( TRACE )
996 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
997 $ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
998 IF( REWI )
999 $ REWIND NTRA
1000 CALL CCHEMV( IORDER, UPLO, N, ALPHA, AA,
1001 $ LDA, XX, INCX, BETA, YY,
1002 $ INCY )
1003 ELSE IF( BANDED )THEN
1004 IF( TRACE )
1005 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1006 $ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
1007 $ INCY
1008 IF( REWI )
1009 $ REWIND NTRA
1010 CALL CCHBMV( IORDER, UPLO, N, K, ALPHA,
1011 $ AA, LDA, XX, INCX, BETA,
1012 $ YY, INCY )
1013 ELSE IF( PACKED )THEN
1014 IF( TRACE )
1015 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1016 $ CUPLO, N, ALPHA, INCX, BETA, INCY
1017 IF( REWI )
1018 $ REWIND NTRA
1019 CALL CCHPMV( IORDER, UPLO, N, ALPHA, AA,
1020 $ XX, INCX, BETA, YY, INCY )
1021 END IF
1022 *
1023 * Check if error-exit was taken incorrectly.
1024 *
1025 IF( .NOT.OK )THEN
1026 WRITE( NOUT, FMT = 9992 )
1027 FATAL = .TRUE.
1028 GO TO 120
1029 END IF
1030 *
1031 * See what data changed inside subroutines.
1032 *
1033 ISAME( 1 ) = UPLO.EQ.UPLOS
1034 ISAME( 2 ) = NS.EQ.N
1035 IF( FULL )THEN
1036 ISAME( 3 ) = ALS.EQ.ALPHA
1037 ISAME( 4 ) = LCE( AS, AA, LAA )
1038 ISAME( 5 ) = LDAS.EQ.LDA
1039 ISAME( 6 ) = LCE( XS, XX, LX )
1040 ISAME( 7 ) = INCXS.EQ.INCX
1041 ISAME( 8 ) = BLS.EQ.BETA
1042 IF( NULL )THEN
1043 ISAME( 9 ) = LCE( YS, YY, LY )
1044 ELSE
1045 ISAME( 9 ) = LCERES( 'ge', ' ', 1, N,
1046 $ YS, YY, ABS( INCY ) )
1047 END IF
1048 ISAME( 10 ) = INCYS.EQ.INCY
1049 ELSE IF( BANDED )THEN
1050 ISAME( 3 ) = KS.EQ.K
1051 ISAME( 4 ) = ALS.EQ.ALPHA
1052 ISAME( 5 ) = LCE( AS, AA, LAA )
1053 ISAME( 6 ) = LDAS.EQ.LDA
1054 ISAME( 7 ) = LCE( XS, XX, LX )
1055 ISAME( 8 ) = INCXS.EQ.INCX
1056 ISAME( 9 ) = BLS.EQ.BETA
1057 IF( NULL )THEN
1058 ISAME( 10 ) = LCE( YS, YY, LY )
1059 ELSE
1060 ISAME( 10 ) = LCERES( 'ge', ' ', 1, N,
1061 $ YS, YY, ABS( INCY ) )
1062 END IF
1063 ISAME( 11 ) = INCYS.EQ.INCY
1064 ELSE IF( PACKED )THEN
1065 ISAME( 3 ) = ALS.EQ.ALPHA
1066 ISAME( 4 ) = LCE( AS, AA, LAA )
1067 ISAME( 5 ) = LCE( XS, XX, LX )
1068 ISAME( 6 ) = INCXS.EQ.INCX
1069 ISAME( 7 ) = BLS.EQ.BETA
1070 IF( NULL )THEN
1071 ISAME( 8 ) = LCE( YS, YY, LY )
1072 ELSE
1073 ISAME( 8 ) = LCERES( 'ge', ' ', 1, N,
1074 $ YS, YY, ABS( INCY ) )
1075 END IF
1076 ISAME( 9 ) = INCYS.EQ.INCY
1077 END IF
1078 *
1079 * If data was incorrectly changed, report and
1080 * return.
1081 *
1082 SAME = .TRUE.
1083 DO 40 I = 1, NARGS
1084 SAME = SAME.AND.ISAME( I )
1085 IF( .NOT.ISAME( I ) )
1086 $ WRITE( NOUT, FMT = 9998 )I
1087 40 CONTINUE
1088 IF( .NOT.SAME )THEN
1089 FATAL = .TRUE.
1090 GO TO 120
1091 END IF
1092 *
1093 IF( .NOT.NULL )THEN
1094 *
1095 * Check the result.
1096 *
1097 CALL CMVCH( 'N', N, N, ALPHA, A, NMAX, X,
1098 $ INCX, BETA, Y, INCY, YT, G,
1099 $ YY, EPS, ERR, FATAL, NOUT,
1100 $ .TRUE. )
1101 ERRMAX = MAX( ERRMAX, ERR )
1102 * If got really bad answer, report and
1103 * return.
1104 IF( FATAL )
1105 $ GO TO 120
1106 ELSE
1107 * Avoid repeating tests with N.le.0
1108 GO TO 110
1109 END IF
1110 *
1111 50 CONTINUE
1112 *
1113 60 CONTINUE
1114 *
1115 70 CONTINUE
1116 *
1117 80 CONTINUE
1118 *
1119 90 CONTINUE
1120 *
1121 100 CONTINUE
1122 *
1123 110 CONTINUE
1124 *
1125 * Report result.
1126 *
1127 IF( ERRMAX.LT.THRESH )THEN
1128 WRITE( NOUT, FMT = 9999 )SNAME, NC
1129 ELSE
1130 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1131 END IF
1132 GO TO 130
1133 *
1134 120 CONTINUE
1135 WRITE( NOUT, FMT = 9996 )SNAME
1136 IF( FULL )THEN
1137 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA, INCX,
1138 $ BETA, INCY
1139 ELSE IF( BANDED )THEN
1140 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
1141 $ INCX, BETA, INCY
1142 ELSE IF( PACKED )THEN
1143 WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
1144 $ BETA, INCY
1145 END IF
1146 *
1147 130 CONTINUE
1148 RETURN
1149 *
1150 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1151 $ 'S)' )
1152 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1153 $ 'ANGED INCORRECTLY *******' )
1154 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1155 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1156 $ ' - SUSPECT *******' )
1157 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1158 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
1159 $ F4.1, '), AP, X,',/ 10x, I2, ',(', F4.1, ',', F4.1,
1160 $ '), Y,', I2, ') .' )
1161 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
1162 $ F4.1, ',', F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(',
1163 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
1164 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
1165 $ F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(', F4.1, ',',
1166 $ F4.1, '), ', 'Y,', I2, ') .' )
1167 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1168 $ '******' )
1169 *
1170 * End of CCHK2.
1171 *
1172 END
1173 SUBROUTINE CCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1174 $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
1175 $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
1176 *
1177 * Tests CTRMV, CTBMV, CTPMV, CTRSV, CTBSV and CTPSV.
1178 *
1179 * Auxiliary routine for test program for Level 2 Blas.
1180 *
1181 * -- Written on 10-August-1987.
1182 * Richard Hanson, Sandia National Labs.
1183 * Jeremy Du Croz, NAG Central Office.
1184 *
1185 * .. Parameters ..
1186 COMPLEX ZERO, HALF, ONE
1187 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
1188 $ ONE = ( 1.0, 0.0 ) )
1189 REAL RZERO
1190 PARAMETER ( RZERO = 0.0 )
1191 * .. Scalar Arguments ..
1192 REAL EPS, THRESH
1193 INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
1194 $ IORDER
1195 LOGICAL FATAL, REWI, TRACE
1196 CHARACTER*12 SNAME
1197 * .. Array Arguments ..
1198 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ),
1199 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1200 $ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
1201 REAL G( NMAX )
1202 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
1203 * .. Local Scalars ..
1204 COMPLEX TRANSL
1205 REAL ERR, ERRMAX
1206 INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
1207 $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
1208 LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
1209 CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
1210 CHARACTER*14 CUPLO,CTRANS,CDIAG
1211 CHARACTER*2 ICHD, ICHU
1212 CHARACTER*3 ICHT
1213 * .. Local Arrays ..
1214 LOGICAL ISAME( 13 )
1215 * .. External Functions ..
1216 LOGICAL LCE, LCERES
1217 EXTERNAL LCE, LCERES
1218 * .. External Subroutines ..
1219 EXTERNAL CMAKE, CMVCH, CCTBMV, CCTBSV, CCTPMV,
1220 $ CCTPSV, CCTRMV, CCTRSV
1221 * .. Intrinsic Functions ..
1222 INTRINSIC ABS, MAX
1223 * .. Scalars in Common ..
1224 INTEGER INFOT, NOUTC
1225 LOGICAL OK
1226 * .. Common blocks ..
1227 COMMON /INFOC/INFOT, NOUTC, OK
1228 * .. Data statements ..
1229 DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
1230 * .. Executable Statements ..
1231 FULL = SNAME( 9: 9 ).EQ.'r'
1232 BANDED = SNAME( 9: 9 ).EQ.'b'
1233 PACKED = SNAME( 9: 9 ).EQ.'p'
1234 * Define the number of arguments.
1235 IF( FULL )THEN
1236 NARGS = 8
1237 ELSE IF( BANDED )THEN
1238 NARGS = 9
1239 ELSE IF( PACKED )THEN
1240 NARGS = 7
1241 END IF
1242 *
1243 NC = 0
1244 RESET = .TRUE.
1245 ERRMAX = RZERO
1246 * Set up zero vector for CMVCH.
1247 DO 10 I = 1, NMAX
1248 Z( I ) = ZERO
1249 10 CONTINUE
1250 *
1251 DO 110 IN = 1, NIDIM
1252 N = IDIM( IN )
1253 *
1254 IF( BANDED )THEN
1255 NK = NKB
1256 ELSE
1257 NK = 1
1258 END IF
1259 DO 100 IK = 1, NK
1260 IF( BANDED )THEN
1261 K = KB( IK )
1262 ELSE
1263 K = N - 1
1264 END IF
1265 * Set LDA to 1 more than minimum value if room.
1266 IF( BANDED )THEN
1267 LDA = K + 1
1268 ELSE
1269 LDA = N
1270 END IF
1271 IF( LDA.LT.NMAX )
1272 $ LDA = LDA + 1
1273 * Skip tests if not enough room.
1274 IF( LDA.GT.NMAX )
1275 $ GO TO 100
1276 IF( PACKED )THEN
1277 LAA = ( N*( N + 1 ) )/2
1278 ELSE
1279 LAA = LDA*N
1280 END IF
1281 NULL = N.LE.0
1282 *
1283 DO 90 ICU = 1, 2
1284 UPLO = ICHU( ICU: ICU )
1285 IF (UPLO.EQ.'U')THEN
1286 CUPLO = ' CblasUpper'
1287 ELSE
1288 CUPLO = ' CblasLower'
1289 END IF
1290 *
1291 DO 80 ICT = 1, 3
1292 TRANS = ICHT( ICT: ICT )
1293 IF (TRANS.EQ.'N')THEN
1294 CTRANS = ' CblasNoTrans'
1295 ELSE IF (TRANS.EQ.'T')THEN
1296 CTRANS = ' CblasTrans'
1297 ELSE
1298 CTRANS = 'CblasConjTrans'
1299 END IF
1300 *
1301 DO 70 ICD = 1, 2
1302 DIAG = ICHD( ICD: ICD )
1303 IF (DIAG.EQ.'N')THEN
1304 CDIAG = ' CblasNonUnit'
1305 ELSE
1306 CDIAG = ' CblasUnit'
1307 END IF
1308 *
1309 * Generate the matrix A.
1310 *
1311 TRANSL = ZERO
1312 CALL CMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
1313 $ NMAX, AA, LDA, K, K, RESET, TRANSL )
1314 *
1315 DO 60 IX = 1, NINC
1316 INCX = INC( IX )
1317 LX = ABS( INCX )*N
1318 *
1319 * Generate the vector X.
1320 *
1321 TRANSL = HALF
1322 CALL CMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
1323 $ ABS( INCX ), 0, N - 1, RESET,
1324 $ TRANSL )
1325 IF( N.GT.1 )THEN
1326 X( N/2 ) = ZERO
1327 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1328 END IF
1329 *
1330 NC = NC + 1
1331 *
1332 * Save every datum before calling the subroutine.
1333 *
1334 UPLOS = UPLO
1335 TRANSS = TRANS
1336 DIAGS = DIAG
1337 NS = N
1338 KS = K
1339 DO 20 I = 1, LAA
1340 AS( I ) = AA( I )
1341 20 CONTINUE
1342 LDAS = LDA
1343 DO 30 I = 1, LX
1344 XS( I ) = XX( I )
1345 30 CONTINUE
1346 INCXS = INCX
1347 *
1348 * Call the subroutine.
1349 *
1350 IF( SNAME( 10: 11 ).EQ.'mv' )THEN
1351 IF( FULL )THEN
1352 IF( TRACE )
1353 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1354 $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1355 IF( REWI )
1356 $ REWIND NTRA
1357 CALL CCTRMV( IORDER, UPLO, TRANS, DIAG,
1358 $ N, AA, LDA, XX, INCX )
1359 ELSE IF( BANDED )THEN
1360 IF( TRACE )
1361 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1362 $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1363 IF( REWI )
1364 $ REWIND NTRA
1365 CALL CCTBMV( IORDER, UPLO, TRANS, DIAG,
1366 $ N, K, AA, LDA, XX, INCX )
1367 ELSE IF( PACKED )THEN
1368 IF( TRACE )
1369 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1370 $ CUPLO, CTRANS, CDIAG, N, INCX
1371 IF( REWI )
1372 $ REWIND NTRA
1373 CALL CCTPMV( IORDER, UPLO, TRANS, DIAG,
1374 $ N, AA, XX, INCX )
1375 END IF
1376 ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
1377 IF( FULL )THEN
1378 IF( TRACE )
1379 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1380 $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1381 IF( REWI )
1382 $ REWIND NTRA
1383 CALL CCTRSV( IORDER, UPLO, TRANS, DIAG,
1384 $ N, AA, LDA, XX, INCX )
1385 ELSE IF( BANDED )THEN
1386 IF( TRACE )
1387 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1388 $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1389 IF( REWI )
1390 $ REWIND NTRA
1391 CALL CCTBSV( IORDER, UPLO, TRANS, DIAG,
1392 $ N, K, AA, LDA, XX, INCX )
1393 ELSE IF( PACKED )THEN
1394 IF( TRACE )
1395 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1396 $ CUPLO, CTRANS, CDIAG, N, INCX
1397 IF( REWI )
1398 $ REWIND NTRA
1399 CALL CCTPSV( IORDER, UPLO, TRANS, DIAG,
1400 $ N, AA, XX, INCX )
1401 END IF
1402 END IF
1403 *
1404 * Check if error-exit was taken incorrectly.
1405 *
1406 IF( .NOT.OK )THEN
1407 WRITE( NOUT, FMT = 9992 )
1408 FATAL = .TRUE.
1409 GO TO 120
1410 END IF
1411 *
1412 * See what data changed inside subroutines.
1413 *
1414 ISAME( 1 ) = UPLO.EQ.UPLOS
1415 ISAME( 2 ) = TRANS.EQ.TRANSS
1416 ISAME( 3 ) = DIAG.EQ.DIAGS
1417 ISAME( 4 ) = NS.EQ.N
1418 IF( FULL )THEN
1419 ISAME( 5 ) = LCE( AS, AA, LAA )
1420 ISAME( 6 ) = LDAS.EQ.LDA
1421 IF( NULL )THEN
1422 ISAME( 7 ) = LCE( XS, XX, LX )
1423 ELSE
1424 ISAME( 7 ) = LCERES( 'ge', ' ', 1, N, XS,
1425 $ XX, ABS( INCX ) )
1426 END IF
1427 ISAME( 8 ) = INCXS.EQ.INCX
1428 ELSE IF( BANDED )THEN
1429 ISAME( 5 ) = KS.EQ.K
1430 ISAME( 6 ) = LCE( AS, AA, LAA )
1431 ISAME( 7 ) = LDAS.EQ.LDA
1432 IF( NULL )THEN
1433 ISAME( 8 ) = LCE( XS, XX, LX )
1434 ELSE
1435 ISAME( 8 ) = LCERES( 'ge', ' ', 1, N, XS,
1436 $ XX, ABS( INCX ) )
1437 END IF
1438 ISAME( 9 ) = INCXS.EQ.INCX
1439 ELSE IF( PACKED )THEN
1440 ISAME( 5 ) = LCE( AS, AA, LAA )
1441 IF( NULL )THEN
1442 ISAME( 6 ) = LCE( XS, XX, LX )
1443 ELSE
1444 ISAME( 6 ) = LCERES( 'ge', ' ', 1, N, XS,
1445 $ XX, ABS( INCX ) )
1446 END IF
1447 ISAME( 7 ) = INCXS.EQ.INCX
1448 END IF
1449 *
1450 * If data was incorrectly changed, report and
1451 * return.
1452 *
1453 SAME = .TRUE.
1454 DO 40 I = 1, NARGS
1455 SAME = SAME.AND.ISAME( I )
1456 IF( .NOT.ISAME( I ) )
1457 $ WRITE( NOUT, FMT = 9998 )I
1458 40 CONTINUE
1459 IF( .NOT.SAME )THEN
1460 FATAL = .TRUE.
1461 GO TO 120
1462 END IF
1463 *
1464 IF( .NOT.NULL )THEN
1465 IF( SNAME( 10: 11 ).EQ.'mv' )THEN
1466 *
1467 * Check the result.
1468 *
1469 CALL CMVCH( TRANS, N, N, ONE, A, NMAX, X,
1470 $ INCX, ZERO, Z, INCX, XT, G,
1471 $ XX, EPS, ERR, FATAL, NOUT,
1472 $ .TRUE. )
1473 ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
1474 *
1475 * Compute approximation to original vector.
1476 *
1477 DO 50 I = 1, N
1478 Z( I ) = XX( 1 + ( I - 1 )*
1479 $ ABS( INCX ) )
1480 XX( 1 + ( I - 1 )*ABS( INCX ) )
1481 $ = X( I )
1482 50 CONTINUE
1483 CALL CMVCH( TRANS, N, N, ONE, A, NMAX, Z,
1484 $ INCX, ZERO, X, INCX, XT, G,
1485 $ XX, EPS, ERR, FATAL, NOUT,
1486 $ .FALSE. )
1487 END IF
1488 ERRMAX = MAX( ERRMAX, ERR )
1489 * If got really bad answer, report and return.
1490 IF( FATAL )
1491 $ GO TO 120
1492 ELSE
1493 * Avoid repeating tests with N.le.0.
1494 GO TO 110
1495 END IF
1496 *
1497 60 CONTINUE
1498 *
1499 70 CONTINUE
1500 *
1501 80 CONTINUE
1502 *
1503 90 CONTINUE
1504 *
1505 100 CONTINUE
1506 *
1507 110 CONTINUE
1508 *
1509 * Report result.
1510 *
1511 IF( ERRMAX.LT.THRESH )THEN
1512 WRITE( NOUT, FMT = 9999 )SNAME, NC
1513 ELSE
1514 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1515 END IF
1516 GO TO 130
1517 *
1518 120 CONTINUE
1519 WRITE( NOUT, FMT = 9996 )SNAME
1520 IF( FULL )THEN
1521 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1522 $ LDA, INCX
1523 ELSE IF( BANDED )THEN
1524 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
1525 $ LDA, INCX
1526 ELSE IF( PACKED )THEN
1527 WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1528 $ INCX
1529 END IF
1530 *
1531 130 CONTINUE
1532 RETURN
1533 *
1534 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1535 $ 'S)' )
1536 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1537 $ 'ANGED INCORRECTLY *******' )
1538 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1539 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1540 $ ' - SUSPECT *******' )
1541 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1542 9995 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', AP, ',
1543 $ 'X,', I2, ') .' )
1544 9994 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, 2( I3, ',' ),
1545 $ ' A,', I3, ', X,', I2, ') .' )
1546 9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', A,',
1547 $ I3, ', X,', I2, ') .' )
1548 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1549 $ '******' )
1550 *
1551 * End of CCHK3.
1552 *
1553 END
1554 SUBROUTINE CCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1555 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
1556 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
1557 $ Z, IORDER )
1558 *
1559 * Tests CGERC and CGERU.
1560 *
1561 * Auxiliary routine for test program for Level 2 Blas.
1562 *
1563 * -- Written on 10-August-1987.
1564 * Richard Hanson, Sandia National Labs.
1565 * Jeremy Du Croz, NAG Central Office.
1566 *
1567 * .. Parameters ..
1568 COMPLEX ZERO, HALF, ONE
1569 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
1570 $ ONE = ( 1.0, 0.0 ) )
1571 REAL RZERO
1572 PARAMETER ( RZERO = 0.0 )
1573 * .. Scalar Arguments ..
1574 REAL EPS, THRESH
1575 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
1576 $ IORDER
1577 LOGICAL FATAL, REWI, TRACE
1578 CHARACTER*12 SNAME
1579 * .. Array Arguments ..
1580 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
1581 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1582 $ XX( NMAX*INCMAX ), Y( NMAX ),
1583 $ YS( NMAX*INCMAX ), YT( NMAX ),
1584 $ YY( NMAX*INCMAX ), Z( NMAX )
1585 REAL G( NMAX )
1586 INTEGER IDIM( NIDIM ), INC( NINC )
1587 * .. Local Scalars ..
1588 COMPLEX ALPHA, ALS, TRANSL
1589 REAL ERR, ERRMAX
1590 INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
1591 $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
1592 $ NC, ND, NS
1593 LOGICAL CONJ, NULL, RESET, SAME
1594 * .. Local Arrays ..
1595 COMPLEX W( 1 )
1596 LOGICAL ISAME( 13 )
1597 * .. External Functions ..
1598 LOGICAL LCE, LCERES
1599 EXTERNAL LCE, LCERES
1600 * .. External Subroutines ..
1601 EXTERNAL CCGERC, CCGERU, CMAKE, CMVCH
1602 * .. Intrinsic Functions ..
1603 INTRINSIC ABS, CONJG, MAX, MIN
1604 * .. Scalars in Common ..
1605 INTEGER INFOT, NOUTC
1606 LOGICAL OK
1607 * .. Common blocks ..
1608 COMMON /INFOC/INFOT, NOUTC, OK
1609 * .. Executable Statements ..
1610 CONJ = SNAME( 11: 11 ).EQ.'c'
1611 * Define the number of arguments.
1612 NARGS = 9
1613 *
1614 NC = 0
1615 RESET = .TRUE.
1616 ERRMAX = RZERO
1617 *
1618 DO 120 IN = 1, NIDIM
1619 N = IDIM( IN )
1620 ND = N/2 + 1
1621 *
1622 DO 110 IM = 1, 2
1623 IF( IM.EQ.1 )
1624 $ M = MAX( N - ND, 0 )
1625 IF( IM.EQ.2 )
1626 $ M = MIN( N + ND, NMAX )
1627 *
1628 * Set LDA to 1 more than minimum value if room.
1629 LDA = M
1630 IF( LDA.LT.NMAX )
1631 $ LDA = LDA + 1
1632 * Skip tests if not enough room.
1633 IF( LDA.GT.NMAX )
1634 $ GO TO 110
1635 LAA = LDA*N
1636 NULL = N.LE.0.OR.M.LE.0
1637 *
1638 DO 100 IX = 1, NINC
1639 INCX = INC( IX )
1640 LX = ABS( INCX )*M
1641 *
1642 * Generate the vector X.
1643 *
1644 TRANSL = HALF
1645 CALL CMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
1646 $ 0, M - 1, RESET, TRANSL )
1647 IF( M.GT.1 )THEN
1648 X( M/2 ) = ZERO
1649 XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
1650 END IF
1651 *
1652 DO 90 IY = 1, NINC
1653 INCY = INC( IY )
1654 LY = ABS( INCY )*N
1655 *
1656 * Generate the vector Y.
1657 *
1658 TRANSL = ZERO
1659 CALL CMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
1660 $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
1661 IF( N.GT.1 )THEN
1662 Y( N/2 ) = ZERO
1663 YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
1664 END IF
1665 *
1666 DO 80 IA = 1, NALF
1667 ALPHA = ALF( IA )
1668 *
1669 * Generate the matrix A.
1670 *
1671 TRANSL = ZERO
1672 CALL CMAKE(SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
1673 $ AA, LDA, M - 1, N - 1, RESET, TRANSL )
1674 *
1675 NC = NC + 1
1676 *
1677 * Save every datum before calling the subroutine.
1678 *
1679 MS = M
1680 NS = N
1681 ALS = ALPHA
1682 DO 10 I = 1, LAA
1683 AS( I ) = AA( I )
1684 10 CONTINUE
1685 LDAS = LDA
1686 DO 20 I = 1, LX
1687 XS( I ) = XX( I )
1688 20 CONTINUE
1689 INCXS = INCX
1690 DO 30 I = 1, LY
1691 YS( I ) = YY( I )
1692 30 CONTINUE
1693 INCYS = INCY
1694 *
1695 * Call the subroutine.
1696 *
1697 IF( TRACE )
1698 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
1699 $ ALPHA, INCX, INCY, LDA
1700 IF( CONJ )THEN
1701 IF( REWI )
1702 $ REWIND NTRA
1703 CALL CCGERC( IORDER, M, N, ALPHA, XX, INCX,
1704 $ YY, INCY, AA, LDA )
1705 ELSE
1706 IF( REWI )
1707 $ REWIND NTRA
1708 CALL CCGERU( IORDER, M, N, ALPHA, XX, INCX,
1709 $ YY, INCY, AA, LDA )
1710 END IF
1711 *
1712 * Check if error-exit was taken incorrectly.
1713 *
1714 IF( .NOT.OK )THEN
1715 WRITE( NOUT, FMT = 9993 )
1716 FATAL = .TRUE.
1717 GO TO 140
1718 END IF
1719 *
1720 * See what data changed inside subroutine.
1721 *
1722 ISAME( 1 ) = MS.EQ.M
1723 ISAME( 2 ) = NS.EQ.N
1724 ISAME( 3 ) = ALS.EQ.ALPHA
1725 ISAME( 4 ) = LCE( XS, XX, LX )
1726 ISAME( 5 ) = INCXS.EQ.INCX
1727 ISAME( 6 ) = LCE( YS, YY, LY )
1728 ISAME( 7 ) = INCYS.EQ.INCY
1729 IF( NULL )THEN
1730 ISAME( 8 ) = LCE( AS, AA, LAA )
1731 ELSE
1732 ISAME( 8 ) = LCERES( 'ge', ' ', M, N, AS, AA,
1733 $ LDA )
1734 END IF
1735 ISAME( 9 ) = LDAS.EQ.LDA
1736 *
1737 * If data was incorrectly changed, report and return.
1738 *
1739 SAME = .TRUE.
1740 DO 40 I = 1, NARGS
1741 SAME = SAME.AND.ISAME( I )
1742 IF( .NOT.ISAME( I ) )
1743 $ WRITE( NOUT, FMT = 9998 )I
1744 40 CONTINUE
1745 IF( .NOT.SAME )THEN
1746 FATAL = .TRUE.
1747 GO TO 140
1748 END IF
1749 *
1750 IF( .NOT.NULL )THEN
1751 *
1752 * Check the result column by column.
1753 *
1754 IF( INCX.GT.0 )THEN
1755 DO 50 I = 1, M
1756 Z( I ) = X( I )
1757 50 CONTINUE
1758 ELSE
1759 DO 60 I = 1, M
1760 Z( I ) = X( M - I + 1 )
1761 60 CONTINUE
1762 END IF
1763 DO 70 J = 1, N
1764 IF( INCY.GT.0 )THEN
1765 W( 1 ) = Y( J )
1766 ELSE
1767 W( 1 ) = Y( N - J + 1 )
1768 END IF
1769 IF( CONJ )
1770 $ W( 1 ) = CONJG( W( 1 ) )
1771 CALL CMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1,
1772 $ ONE, A( 1, J ), 1, YT, G,
1773 $ AA( 1 + ( J - 1 )*LDA ), EPS,
1774 $ ERR, FATAL, NOUT, .TRUE. )
1775 ERRMAX = MAX( ERRMAX, ERR )
1776 * If got really bad answer, report and return.
1777 IF( FATAL )
1778 $ GO TO 130
1779 70 CONTINUE
1780 ELSE
1781 * Avoid repeating tests with M.le.0 or N.le.0.
1782 GO TO 110
1783 END IF
1784 *
1785 80 CONTINUE
1786 *
1787 90 CONTINUE
1788 *
1789 100 CONTINUE
1790 *
1791 110 CONTINUE
1792 *
1793 120 CONTINUE
1794 *
1795 * Report result.
1796 *
1797 IF( ERRMAX.LT.THRESH )THEN
1798 WRITE( NOUT, FMT = 9999 )SNAME, NC
1799 ELSE
1800 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1801 END IF
1802 GO TO 150
1803 *
1804 130 CONTINUE
1805 WRITE( NOUT, FMT = 9995 )J
1806 *
1807 140 CONTINUE
1808 WRITE( NOUT, FMT = 9996 )SNAME
1809 WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
1810 *
1811 150 CONTINUE
1812 RETURN
1813 *
1814 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1815 $ 'S)' )
1816 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1817 $ 'ANGED INCORRECTLY *******' )
1818 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1819 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1820 $ ' - SUSPECT *******' )
1821 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1822 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
1823 9994 FORMAT(1X, I6, ': ',A12, '(', 2( I3, ',' ), '(', F4.1, ',', F4.1,
1824 $ '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
1825 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1826 $ '******' )
1827 *
1828 * End of CCHK4.
1829 *
1830 END
1831 SUBROUTINE CCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1832 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
1833 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
1834 $ Z, IORDER )
1835 *
1836 * Tests CHER and CHPR.
1837 *
1838 * Auxiliary routine for test program for Level 2 Blas.
1839 *
1840 * -- Written on 10-August-1987.
1841 * Richard Hanson, Sandia National Labs.
1842 * Jeremy Du Croz, NAG Central Office.
1843 *
1844 * .. Parameters ..
1845 COMPLEX ZERO, HALF, ONE
1846 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
1847 $ ONE = ( 1.0, 0.0 ) )
1848 REAL RZERO
1849 PARAMETER ( RZERO = 0.0 )
1850 * .. Scalar Arguments ..
1851 REAL EPS, THRESH
1852 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
1853 $ IORDER
1854 LOGICAL FATAL, REWI, TRACE
1855 CHARACTER*12 SNAME
1856 * .. Array Arguments ..
1857 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
1858 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1859 $ XX( NMAX*INCMAX ), Y( NMAX ),
1860 $ YS( NMAX*INCMAX ), YT( NMAX ),
1861 $ YY( NMAX*INCMAX ), Z( NMAX )
1862 REAL G( NMAX )
1863 INTEGER IDIM( NIDIM ), INC( NINC )
1864 * .. Local Scalars ..
1865 COMPLEX ALPHA, TRANSL
1866 REAL ERR, ERRMAX, RALPHA, RALS
1867 INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA,
1868 $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
1869 LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
1870 CHARACTER*1 UPLO, UPLOS
1871 CHARACTER*14 CUPLO
1872 CHARACTER*2 ICH
1873 * .. Local Arrays ..
1874 COMPLEX W( 1 )
1875 LOGICAL ISAME( 13 )
1876 * .. External Functions ..
1877 LOGICAL LCE, LCERES
1878 EXTERNAL LCE, LCERES
1879 * .. External Subroutines ..
1880 EXTERNAL CCHER, CCHPR, CMAKE, CMVCH
1881 * .. Intrinsic Functions ..
1882 INTRINSIC ABS, CMPLX, CONJG, MAX, REAL
1883 * .. Scalars in Common ..
1884 INTEGER INFOT, NOUTC
1885 LOGICAL OK
1886 * .. Common blocks ..
1887 COMMON /INFOC/INFOT, NOUTC, OK
1888 * .. Data statements ..
1889 DATA ICH/'UL'/
1890 * .. Executable Statements ..
1891 FULL = SNAME( 9: 9 ).EQ.'e'
1892 PACKED = SNAME( 9: 9 ).EQ.'p'
1893 * Define the number of arguments.
1894 IF( FULL )THEN
1895 NARGS = 7
1896 ELSE IF( PACKED )THEN
1897 NARGS = 6
1898 END IF
1899 *
1900 NC = 0
1901 RESET = .TRUE.
1902 ERRMAX = RZERO
1903 *
1904 DO 100 IN = 1, NIDIM
1905 N = IDIM( IN )
1906 * Set LDA to 1 more than minimum value if room.
1907 LDA = N
1908 IF( LDA.LT.NMAX )
1909 $ LDA = LDA + 1
1910 * Skip tests if not enough room.
1911 IF( LDA.GT.NMAX )
1912 $ GO TO 100
1913 IF( PACKED )THEN
1914 LAA = ( N*( N + 1 ) )/2
1915 ELSE
1916 LAA = LDA*N
1917 END IF
1918 *
1919 DO 90 IC = 1, 2
1920 UPLO = ICH( IC: IC )
1921 IF (UPLO.EQ.'U')THEN
1922 CUPLO = ' CblasUpper'
1923 ELSE
1924 CUPLO = ' CblasLower'
1925 END IF
1926 UPPER = UPLO.EQ.'U'
1927 *
1928 DO 80 IX = 1, NINC
1929 INCX = INC( IX )
1930 LX = ABS( INCX )*N
1931 *
1932 * Generate the vector X.
1933 *
1934 TRANSL = HALF
1935 CALL CMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
1936 $ 0, N - 1, RESET, TRANSL )
1937 IF( N.GT.1 )THEN
1938 X( N/2 ) = ZERO
1939 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1940 END IF
1941 *
1942 DO 70 IA = 1, NALF
1943 RALPHA = REAL( ALF( IA ) )
1944 ALPHA = CMPLX( RALPHA, RZERO )
1945 NULL = N.LE.0.OR.RALPHA.EQ.RZERO
1946 *
1947 * Generate the matrix A.
1948 *
1949 TRANSL = ZERO
1950 CALL CMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
1951 $ AA, LDA, N - 1, N - 1, RESET, TRANSL )
1952 *
1953 NC = NC + 1
1954 *
1955 * Save every datum before calling the subroutine.
1956 *
1957 UPLOS = UPLO
1958 NS = N
1959 RALS = RALPHA
1960 DO 10 I = 1, LAA
1961 AS( I ) = AA( I )
1962 10 CONTINUE
1963 LDAS = LDA
1964 DO 20 I = 1, LX
1965 XS( I ) = XX( I )
1966 20 CONTINUE
1967 INCXS = INCX
1968 *
1969 * Call the subroutine.
1970 *
1971 IF( FULL )THEN
1972 IF( TRACE )
1973 $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
1974 $ RALPHA, INCX, LDA
1975 IF( REWI )
1976 $ REWIND NTRA
1977 CALL CCHER( IORDER, UPLO, N, RALPHA, XX,
1978 $ INCX, AA, LDA )
1979 ELSE IF( PACKED )THEN
1980 IF( TRACE )
1981 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
1982 $ RALPHA, INCX
1983 IF( REWI )
1984 $ REWIND NTRA
1985 CALL CCHPR( IORDER, UPLO, N, RALPHA,
1986 $ XX, INCX, AA )
1987 END IF
1988 *
1989 * Check if error-exit was taken incorrectly.
1990 *
1991 IF( .NOT.OK )THEN
1992 WRITE( NOUT, FMT = 9992 )
1993 FATAL = .TRUE.
1994 GO TO 120
1995 END IF
1996 *
1997 * See what data changed inside subroutines.
1998 *
1999 ISAME( 1 ) = UPLO.EQ.UPLOS
2000 ISAME( 2 ) = NS.EQ.N
2001 ISAME( 3 ) = RALS.EQ.RALPHA
2002 ISAME( 4 ) = LCE( XS, XX, LX )
2003 ISAME( 5 ) = INCXS.EQ.INCX
2004 IF( NULL )THEN
2005 ISAME( 6 ) = LCE( AS, AA, LAA )
2006 ELSE
2007 ISAME( 6 ) = LCERES( SNAME( 8: 9 ), UPLO, N, N, AS,
2008 $ AA, LDA )
2009 END IF
2010 IF( .NOT.PACKED )THEN
2011 ISAME( 7 ) = LDAS.EQ.LDA
2012 END IF
2013 *
2014 * If data was incorrectly changed, report and return.
2015 *
2016 SAME = .TRUE.
2017 DO 30 I = 1, NARGS
2018 SAME = SAME.AND.ISAME( I )
2019 IF( .NOT.ISAME( I ) )
2020 $ WRITE( NOUT, FMT = 9998 )I
2021 30 CONTINUE
2022 IF( .NOT.SAME )THEN
2023 FATAL = .TRUE.
2024 GO TO 120
2025 END IF
2026 *
2027 IF( .NOT.NULL )THEN
2028 *
2029 * Check the result column by column.
2030 *
2031 IF( INCX.GT.0 )THEN
2032 DO 40 I = 1, N
2033 Z( I ) = X( I )
2034 40 CONTINUE
2035 ELSE
2036 DO 50 I = 1, N
2037 Z( I ) = X( N - I + 1 )
2038 50 CONTINUE
2039 END IF
2040 JA = 1
2041 DO 60 J = 1, N
2042 W( 1 ) = CONJG( Z( J ) )
2043 IF( UPPER )THEN
2044 JJ = 1
2045 LJ = J
2046 ELSE
2047 JJ = J
2048 LJ = N - J + 1
2049 END IF
2050 CALL CMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W,
2051 $ 1, ONE, A( JJ, J ), 1, YT, G,
2052 $ AA( JA ), EPS, ERR, FATAL, NOUT,
2053 $ .TRUE. )
2054 IF( FULL )THEN
2055 IF( UPPER )THEN
2056 JA = JA + LDA
2057 ELSE
2058 JA = JA + LDA + 1
2059 END IF
2060 ELSE
2061 JA = JA + LJ
2062 END IF
2063 ERRMAX = MAX( ERRMAX, ERR )
2064 * If got really bad answer, report and return.
2065 IF( FATAL )
2066 $ GO TO 110
2067 60 CONTINUE
2068 ELSE
2069 * Avoid repeating tests if N.le.0.
2070 IF( N.LE.0 )
2071 $ GO TO 100
2072 END IF
2073 *
2074 70 CONTINUE
2075 *
2076 80 CONTINUE
2077 *
2078 90 CONTINUE
2079 *
2080 100 CONTINUE
2081 *
2082 * Report result.
2083 *
2084 IF( ERRMAX.LT.THRESH )THEN
2085 WRITE( NOUT, FMT = 9999 )SNAME, NC
2086 ELSE
2087 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2088 END IF
2089 GO TO 130
2090 *
2091 110 CONTINUE
2092 WRITE( NOUT, FMT = 9995 )J
2093 *
2094 120 CONTINUE
2095 WRITE( NOUT, FMT = 9996 )SNAME
2096 IF( FULL )THEN
2097 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, RALPHA, INCX, LDA
2098 ELSE IF( PACKED )THEN
2099 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, RALPHA, INCX
2100 END IF
2101 *
2102 130 CONTINUE
2103 RETURN
2104 *
2105 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
2106 $ 'S)' )
2107 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
2108 $ 'ANGED INCORRECTLY *******' )
2109 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
2110 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
2111 $ ' - SUSPECT *******' )
2112 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
2113 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
2114 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
2115 $ I2, ', AP) .' )
2116 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
2117 $ I2, ', A,', I3, ') .' )
2118 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
2119 $ '******' )
2120 *
2121 * End of CCHK5.
2122 *
2123 END
2124 SUBROUTINE CCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
2125 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
2126 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
2127 $ Z, IORDER )
2128 *
2129 * Tests CHER2 and CHPR2.
2130 *
2131 * Auxiliary routine for test program for Level 2 Blas.
2132 *
2133 * -- Written on 10-August-1987.
2134 * Richard Hanson, Sandia National Labs.
2135 * Jeremy Du Croz, NAG Central Office.
2136 *
2137 * .. Parameters ..
2138 COMPLEX ZERO, HALF, ONE
2139 PARAMETER ( ZERO = ( 0.0, 0.0 ), HALF = ( 0.5, 0.0 ),
2140 $ ONE = ( 1.0, 0.0 ) )
2141 REAL RZERO
2142 PARAMETER ( RZERO = 0.0 )
2143 * .. Scalar Arguments ..
2144 REAL EPS, THRESH
2145 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
2146 $ IORDER
2147 LOGICAL FATAL, REWI, TRACE
2148 CHARACTER*12 SNAME
2149 * .. Array Arguments ..
2150 COMPLEX A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
2151 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
2152 $ XX( NMAX*INCMAX ), Y( NMAX ),
2153 $ YS( NMAX*INCMAX ), YT( NMAX ),
2154 $ YY( NMAX*INCMAX ), Z( NMAX, 2 )
2155 REAL G( NMAX )
2156 INTEGER IDIM( NIDIM ), INC( NINC )
2157 * .. Local Scalars ..
2158 COMPLEX ALPHA, ALS, TRANSL
2159 REAL ERR, ERRMAX
2160 INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX,
2161 $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
2162 $ NARGS, NC, NS
2163 LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
2164 CHARACTER*1 UPLO, UPLOS
2165 CHARACTER*14 CUPLO
2166 CHARACTER*2 ICH
2167 * .. Local Arrays ..
2168 COMPLEX W( 2 )
2169 LOGICAL ISAME( 13 )
2170 * .. External Functions ..
2171 LOGICAL LCE, LCERES
2172 EXTERNAL LCE, LCERES
2173 * .. External Subroutines ..
2174 EXTERNAL CCHER2, CCHPR2, CMAKE, CMVCH
2175 * .. Intrinsic Functions ..
2176 INTRINSIC ABS, CONJG, MAX
2177 * .. Scalars in Common ..
2178 INTEGER INFOT, NOUTC
2179 LOGICAL OK
2180 * .. Common blocks ..
2181 COMMON /INFOC/INFOT, NOUTC, OK
2182 * .. Data statements ..
2183 DATA ICH/'UL'/
2184 * .. Executable Statements ..
2185 FULL = SNAME( 9: 9 ).EQ.'e'
2186 PACKED = SNAME( 9: 9 ).EQ.'p'
2187 * Define the number of arguments.
2188 IF( FULL )THEN
2189 NARGS = 9
2190 ELSE IF( PACKED )THEN
2191 NARGS = 8
2192 END IF
2193 *
2194 NC = 0
2195 RESET = .TRUE.
2196 ERRMAX = RZERO
2197 *
2198 DO 140 IN = 1, NIDIM
2199 N = IDIM( IN )
2200 * Set LDA to 1 more than minimum value if room.
2201 LDA = N
2202 IF( LDA.LT.NMAX )
2203 $ LDA = LDA + 1
2204 * Skip tests if not enough room.
2205 IF( LDA.GT.NMAX )
2206 $ GO TO 140
2207 IF( PACKED )THEN
2208 LAA = ( N*( N + 1 ) )/2
2209 ELSE
2210 LAA = LDA*N
2211 END IF
2212 *
2213 DO 130 IC = 1, 2
2214 UPLO = ICH( IC: IC )
2215 IF (UPLO.EQ.'U')THEN
2216 CUPLO = ' CblasUpper'
2217 ELSE
2218 CUPLO = ' CblasLower'
2219 END IF
2220 UPPER = UPLO.EQ.'U'
2221 *
2222 DO 120 IX = 1, NINC
2223 INCX = INC( IX )
2224 LX = ABS( INCX )*N
2225 *
2226 * Generate the vector X.
2227 *
2228 TRANSL = HALF
2229 CALL CMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
2230 $ 0, N - 1, RESET, TRANSL )
2231 IF( N.GT.1 )THEN
2232 X( N/2 ) = ZERO
2233 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
2234 END IF
2235 *
2236 DO 110 IY = 1, NINC
2237 INCY = INC( IY )
2238 LY = ABS( INCY )*N
2239 *
2240 * Generate the vector Y.
2241 *
2242 TRANSL = ZERO
2243 CALL CMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
2244 $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
2245 IF( N.GT.1 )THEN
2246 Y( N/2 ) = ZERO
2247 YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
2248 END IF
2249 *
2250 DO 100 IA = 1, NALF
2251 ALPHA = ALF( IA )
2252 NULL = N.LE.0.OR.ALPHA.EQ.ZERO
2253 *
2254 * Generate the matrix A.
2255 *
2256 TRANSL = ZERO
2257 CALL CMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
2258 $ NMAX, AA, LDA, N - 1, N - 1, RESET,
2259 $ TRANSL )
2260 *
2261 NC = NC + 1
2262 *
2263 * Save every datum before calling the subroutine.
2264 *
2265 UPLOS = UPLO
2266 NS = N
2267 ALS = ALPHA
2268 DO 10 I = 1, LAA
2269 AS( I ) = AA( I )
2270 10 CONTINUE
2271 LDAS = LDA
2272 DO 20 I = 1, LX
2273 XS( I ) = XX( I )
2274 20 CONTINUE
2275 INCXS = INCX
2276 DO 30 I = 1, LY
2277 YS( I ) = YY( I )
2278 30 CONTINUE
2279 INCYS = INCY
2280 *
2281 * Call the subroutine.
2282 *
2283 IF( FULL )THEN
2284 IF( TRACE )
2285 $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
2286 $ ALPHA, INCX, INCY, LDA
2287 IF( REWI )
2288 $ REWIND NTRA
2289 CALL CCHER2( IORDER, UPLO, N, ALPHA, XX, INCX,
2290 $ YY, INCY, AA, LDA )
2291 ELSE IF( PACKED )THEN
2292 IF( TRACE )
2293 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
2294 $ ALPHA, INCX, INCY
2295 IF( REWI )
2296 $ REWIND NTRA
2297 CALL CCHPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
2298 $ YY, INCY, AA )
2299 END IF
2300 *
2301 * Check if error-exit was taken incorrectly.
2302 *
2303 IF( .NOT.OK )THEN
2304 WRITE( NOUT, FMT = 9992 )
2305 FATAL = .TRUE.
2306 GO TO 160
2307 END IF
2308 *
2309 * See what data changed inside subroutines.
2310 *
2311 ISAME( 1 ) = UPLO.EQ.UPLOS
2312 ISAME( 2 ) = NS.EQ.N
2313 ISAME( 3 ) = ALS.EQ.ALPHA
2314 ISAME( 4 ) = LCE( XS, XX, LX )
2315 ISAME( 5 ) = INCXS.EQ.INCX
2316 ISAME( 6 ) = LCE( YS, YY, LY )
2317 ISAME( 7 ) = INCYS.EQ.INCY
2318 IF( NULL )THEN
2319 ISAME( 8 ) = LCE( AS, AA, LAA )
2320 ELSE
2321 ISAME( 8 ) = LCERES( SNAME( 8: 9 ), UPLO, N, N,
2322 $ AS, AA, LDA )
2323 END IF
2324 IF( .NOT.PACKED )THEN
2325 ISAME( 9 ) = LDAS.EQ.LDA
2326 END IF
2327 *
2328 * If data was incorrectly changed, report and return.
2329 *
2330 SAME = .TRUE.
2331 DO 40 I = 1, NARGS
2332 SAME = SAME.AND.ISAME( I )
2333 IF( .NOT.ISAME( I ) )
2334 $ WRITE( NOUT, FMT = 9998 )I
2335 40 CONTINUE
2336 IF( .NOT.SAME )THEN
2337 FATAL = .TRUE.
2338 GO TO 160
2339 END IF
2340 *
2341 IF( .NOT.NULL )THEN
2342 *
2343 * Check the result column by column.
2344 *
2345 IF( INCX.GT.0 )THEN
2346 DO 50 I = 1, N
2347 Z( I, 1 ) = X( I )
2348 50 CONTINUE
2349 ELSE
2350 DO 60 I = 1, N
2351 Z( I, 1 ) = X( N - I + 1 )
2352 60 CONTINUE
2353 END IF
2354 IF( INCY.GT.0 )THEN
2355 DO 70 I = 1, N
2356 Z( I, 2 ) = Y( I )
2357 70 CONTINUE
2358 ELSE
2359 DO 80 I = 1, N
2360 Z( I, 2 ) = Y( N - I + 1 )
2361 80 CONTINUE
2362 END IF
2363 JA = 1
2364 DO 90 J = 1, N
2365 W( 1 ) = ALPHA*CONJG( Z( J, 2 ) )
2366 W( 2 ) = CONJG( ALPHA )*CONJG( Z( J, 1 ) )
2367 IF( UPPER )THEN
2368 JJ = 1
2369 LJ = J
2370 ELSE
2371 JJ = J
2372 LJ = N - J + 1
2373 END IF
2374 CALL CMVCH( 'N', LJ, 2, ONE, Z( JJ, 1 ),
2375 $ NMAX, W, 1, ONE, A( JJ, J ), 1,
2376 $ YT, G, AA( JA ), EPS, ERR, FATAL,
2377 $ NOUT, .TRUE. )
2378 IF( FULL )THEN
2379 IF( UPPER )THEN
2380 JA = JA + LDA
2381 ELSE
2382 JA = JA + LDA + 1
2383 END IF
2384 ELSE
2385 JA = JA + LJ
2386 END IF
2387 ERRMAX = MAX( ERRMAX, ERR )
2388 * If got really bad answer, report and return.
2389 IF( FATAL )
2390 $ GO TO 150
2391 90 CONTINUE
2392 ELSE
2393 * Avoid repeating tests with N.le.0.
2394 IF( N.LE.0 )
2395 $ GO TO 140
2396 END IF
2397 *
2398 100 CONTINUE
2399 *
2400 110 CONTINUE
2401 *
2402 120 CONTINUE
2403 *
2404 130 CONTINUE
2405 *
2406 140 CONTINUE
2407 *
2408 * Report result.
2409 *
2410 IF( ERRMAX.LT.THRESH )THEN
2411 WRITE( NOUT, FMT = 9999 )SNAME, NC
2412 ELSE
2413 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2414 END IF
2415 GO TO 170
2416 *
2417 150 CONTINUE
2418 WRITE( NOUT, FMT = 9995 )J
2419 *
2420 160 CONTINUE
2421 WRITE( NOUT, FMT = 9996 )SNAME
2422 IF( FULL )THEN
2423 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
2424 $ INCY, LDA
2425 ELSE IF( PACKED )THEN
2426 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
2427 END IF
2428 *
2429 170 CONTINUE
2430 RETURN
2431 *
2432 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
2433 $ 'S)' )
2434 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
2435 $ 'ANGED INCORRECTLY *******' )
2436 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
2437 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
2438 $ ' - SUSPECT *******' )
2439 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
2440 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
2441 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
2442 $ F4.1, '), X,', I2, ', Y,', I2, ', AP) .' )
2443 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
2444 $ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
2445 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
2446 $ '******' )
2447 *
2448 * End of CCHK6.
2449 *
2450 END
2451 SUBROUTINE CMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
2452 $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
2453 *
2454 * Checks the results of the computational tests.
2455 *
2456 * Auxiliary routine for test program for Level 2 Blas.
2457 *
2458 * -- Written on 10-August-1987.
2459 * Richard Hanson, Sandia National Labs.
2460 * Jeremy Du Croz, NAG Central Office.
2461 *
2462 * .. Parameters ..
2463 COMPLEX ZERO
2464 PARAMETER ( ZERO = ( 0.0, 0.0 ) )
2465 REAL RZERO, RONE
2466 PARAMETER ( RZERO = 0.0, RONE = 1.0 )
2467 * .. Scalar Arguments ..
2468 COMPLEX ALPHA, BETA
2469 REAL EPS, ERR
2470 INTEGER INCX, INCY, M, N, NMAX, NOUT
2471 LOGICAL FATAL, MV
2472 CHARACTER*1 TRANS
2473 * .. Array Arguments ..
2474 COMPLEX A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
2475 REAL G( * )
2476 * .. Local Scalars ..
2477 COMPLEX C
2478 REAL ERRI
2479 INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
2480 LOGICAL CTRAN, TRAN
2481 * .. Intrinsic Functions ..
2482 INTRINSIC ABS, AIMAG, CONJG, MAX, REAL, SQRT
2483 * .. Statement Functions ..
2484 REAL ABS1
2485 * .. Statement Function definitions ..
2486 ABS1( C ) = ABS( REAL( C ) ) + ABS( AIMAG( C ) )
2487 * .. Executable Statements ..
2488 TRAN = TRANS.EQ.'T'
2489 CTRAN = TRANS.EQ.'C'
2490 IF( TRAN.OR.CTRAN )THEN
2491 ML = N
2492 NL = M
2493 ELSE
2494 ML = M
2495 NL = N
2496 END IF
2497 IF( INCX.LT.0 )THEN
2498 KX = NL
2499 INCXL = -1
2500 ELSE
2501 KX = 1
2502 INCXL = 1
2503 END IF
2504 IF( INCY.LT.0 )THEN
2505 KY = ML
2506 INCYL = -1
2507 ELSE
2508 KY = 1
2509 INCYL = 1
2510 END IF
2511 *
2512 * Compute expected result in YT using data in A, X and Y.
2513 * Compute gauges in G.
2514 *
2515 IY = KY
2516 DO 40 I = 1, ML
2517 YT( IY ) = ZERO
2518 G( IY ) = RZERO
2519 JX = KX
2520 IF( TRAN )THEN
2521 DO 10 J = 1, NL
2522 YT( IY ) = YT( IY ) + A( J, I )*X( JX )
2523 G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2524 JX = JX + INCXL
2525 10 CONTINUE
2526 ELSE IF( CTRAN )THEN
2527 DO 20 J = 1, NL
2528 YT( IY ) = YT( IY ) + CONJG( A( J, I ) )*X( JX )
2529 G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2530 JX = JX + INCXL
2531 20 CONTINUE
2532 ELSE
2533 DO 30 J = 1, NL
2534 YT( IY ) = YT( IY ) + A( I, J )*X( JX )
2535 G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
2536 JX = JX + INCXL
2537 30 CONTINUE
2538 END IF
2539 YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
2540 G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) )
2541 IY = IY + INCYL
2542 40 CONTINUE
2543 *
2544 * Compute the error ratio for this result.
2545 *
2546 ERR = ZERO
2547 DO 50 I = 1, ML
2548 ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
2549 IF( G( I ).NE.RZERO )
2550 $ ERRI = ERRI/G( I )
2551 ERR = MAX( ERR, ERRI )
2552 IF( ERR*SQRT( EPS ).GE.RONE )
2553 $ GO TO 60
2554 50 CONTINUE
2555 * If the loop completes, all results are at least half accurate.
2556 GO TO 80
2557 *
2558 * Report fatal error.
2559 *
2560 60 FATAL = .TRUE.
2561 WRITE( NOUT, FMT = 9999 )
2562 DO 70 I = 1, ML
2563 IF( MV )THEN
2564 WRITE( NOUT, FMT = 9998 )I, YT( I ),
2565 $ YY( 1 + ( I - 1 )*ABS( INCY ) )
2566 ELSE
2567 WRITE( NOUT, FMT = 9998 )I,
2568 $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I )
2569 END IF
2570 70 CONTINUE
2571 *
2572 80 CONTINUE
2573 RETURN
2574 *
2575 9999 FORMAT(' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
2576 $ 'F ACCURATE *******', /' EXPECTED RE',
2577 $ 'SULT COMPUTED RESULT' )
2578 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
2579 *
2580 * End of CMVCH.
2581 *
2582 END
2583 LOGICAL FUNCTION LCE( RI, RJ, LR )
2584 *
2585 * Tests if two arrays are identical.
2586 *
2587 * Auxiliary routine for test program for Level 2 Blas.
2588 *
2589 * -- Written on 10-August-1987.
2590 * Richard Hanson, Sandia National Labs.
2591 * Jeremy Du Croz, NAG Central Office.
2592 *
2593 * .. Scalar Arguments ..
2594 INTEGER LR
2595 * .. Array Arguments ..
2596 COMPLEX RI( * ), RJ( * )
2597 * .. Local Scalars ..
2598 INTEGER I
2599 * .. Executable Statements ..
2600 DO 10 I = 1, LR
2601 IF( RI( I ).NE.RJ( I ) )
2602 $ GO TO 20
2603 10 CONTINUE
2604 LCE = .TRUE.
2605 GO TO 30
2606 20 CONTINUE
2607 LCE = .FALSE.
2608 30 RETURN
2609 *
2610 * End of LCE.
2611 *
2612 END
2613 LOGICAL FUNCTION LCERES( TYPE, UPLO, M, N, AA, AS, LDA )
2614 *
2615 * Tests if selected elements in two arrays are equal.
2616 *
2617 * TYPE is 'ge', 'he' or 'hp'.
2618 *
2619 * Auxiliary routine for test program for Level 2 Blas.
2620 *
2621 * -- Written on 10-August-1987.
2622 * Richard Hanson, Sandia National Labs.
2623 * Jeremy Du Croz, NAG Central Office.
2624 *
2625 * .. Scalar Arguments ..
2626 INTEGER LDA, M, N
2627 CHARACTER*1 UPLO
2628 CHARACTER*2 TYPE
2629 * .. Array Arguments ..
2630 COMPLEX AA( LDA, * ), AS( LDA, * )
2631 * .. Local Scalars ..
2632 INTEGER I, IBEG, IEND, J
2633 LOGICAL UPPER
2634 * .. Executable Statements ..
2635 UPPER = UPLO.EQ.'U'
2636 IF( TYPE.EQ.'ge' )THEN
2637 DO 20 J = 1, N
2638 DO 10 I = M + 1, LDA
2639 IF( AA( I, J ).NE.AS( I, J ) )
2640 $ GO TO 70
2641 10 CONTINUE
2642 20 CONTINUE
2643 ELSE IF( TYPE.EQ.'he' )THEN
2644 DO 50 J = 1, N
2645 IF( UPPER )THEN
2646 IBEG = 1
2647 IEND = J
2648 ELSE
2649 IBEG = J
2650 IEND = N
2651 END IF
2652 DO 30 I = 1, IBEG - 1
2653 IF( AA( I, J ).NE.AS( I, J ) )
2654 $ GO TO 70
2655 30 CONTINUE
2656 DO 40 I = IEND + 1, LDA
2657 IF( AA( I, J ).NE.AS( I, J ) )
2658 $ GO TO 70
2659 40 CONTINUE
2660 50 CONTINUE
2661 END IF
2662 *
2663 60 CONTINUE
2664 LCERES = .TRUE.
2665 GO TO 80
2666 70 CONTINUE
2667 LCERES = .FALSE.
2668 80 RETURN
2669 *
2670 * End of LCERES.
2671 *
2672 END
2673 COMPLEX FUNCTION CBEG( RESET )
2674 *
2675 * Generates complex numbers as pairs of random numbers uniformly
2676 * distributed between -0.5 and 0.5.
2677 *
2678 * Auxiliary routine for test program for Level 2 Blas.
2679 *
2680 * -- Written on 10-August-1987.
2681 * Richard Hanson, Sandia National Labs.
2682 * Jeremy Du Croz, NAG Central Office.
2683 *
2684 * .. Scalar Arguments ..
2685 LOGICAL RESET
2686 * .. Local Scalars ..
2687 INTEGER I, IC, J, MI, MJ
2688 * .. Save statement ..
2689 SAVE I, IC, J, MI, MJ
2690 * .. Intrinsic Functions ..
2691 INTRINSIC CMPLX
2692 * .. Executable Statements ..
2693 IF( RESET )THEN
2694 * Initialize local variables.
2695 MI = 891
2696 MJ = 457
2697 I = 7
2698 J = 7
2699 IC = 0
2700 RESET = .FALSE.
2701 END IF
2702 *
2703 * The sequence of values of I or J is bounded between 1 and 999.
2704 * If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
2705 * If initial I or J = 4 or 8, the period will be 25.
2706 * If initial I or J = 5, the period will be 10.
2707 * IC is used to break up the period by skipping 1 value of I or J
2708 * in 6.
2709 *
2710 IC = IC + 1
2711 10 I = I*MI
2712 J = J*MJ
2713 I = I - 1000*( I/1000 )
2714 J = J - 1000*( J/1000 )
2715 IF( IC.GE.5 )THEN
2716 IC = 0
2717 GO TO 10
2718 END IF
2719 CBEG = CMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
2720 RETURN
2721 *
2722 * End of CBEG.
2723 *
2724 END
2725 REAL FUNCTION SDIFF( X, Y )
2726 *
2727 * Auxiliary routine for test program for Level 2 Blas.
2728 *
2729 * -- Written on 10-August-1987.
2730 * Richard Hanson, Sandia National Labs.
2731 *
2732 * .. Scalar Arguments ..
2733 REAL X, Y
2734 * .. Executable Statements ..
2735 SDIFF = X - Y
2736 RETURN
2737 *
2738 * End of SDIFF.
2739 *
2740 END
2741 SUBROUTINE CMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
2742 $ KU, RESET, TRANSL )
2743 *
2744 * Generates values for an M by N matrix A within the bandwidth
2745 * defined by KL and KU.
2746 * Stores the values in the array AA in the data structure required
2747 * by the routine, with unwanted elements set to rogue value.
2748 *
2749 * TYPE is 'ge', 'gb', 'he', 'hb', 'hp', 'tr', 'tb' OR 'tp'.
2750 *
2751 * Auxiliary routine for test program for Level 2 Blas.
2752 *
2753 * -- Written on 10-August-1987.
2754 * Richard Hanson, Sandia National Labs.
2755 * Jeremy Du Croz, NAG Central Office.
2756 *
2757 * .. Parameters ..
2758 COMPLEX ZERO, ONE
2759 PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) )
2760 COMPLEX ROGUE
2761 PARAMETER ( ROGUE = ( -1.0E10, 1.0E10 ) )
2762 REAL RZERO
2763 PARAMETER ( RZERO = 0.0 )
2764 REAL RROGUE
2765 PARAMETER ( RROGUE = -1.0E10 )
2766 * .. Scalar Arguments ..
2767 COMPLEX TRANSL
2768 INTEGER KL, KU, LDA, M, N, NMAX
2769 LOGICAL RESET
2770 CHARACTER*1 DIAG, UPLO
2771 CHARACTER*2 TYPE
2772 * .. Array Arguments ..
2773 COMPLEX A( NMAX, * ), AA( * )
2774 * .. Local Scalars ..
2775 INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK
2776 LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
2777 * .. External Functions ..
2778 COMPLEX CBEG
2779 EXTERNAL CBEG
2780 * .. Intrinsic Functions ..
2781 INTRINSIC CMPLX, CONJG, MAX, MIN, REAL
2782 * .. Executable Statements ..
2783 GEN = TYPE( 1: 1 ).EQ.'g'
2784 SYM = TYPE( 1: 1 ).EQ.'h'
2785 TRI = TYPE( 1: 1 ).EQ.'t'
2786 UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
2787 LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
2788 UNIT = TRI.AND.DIAG.EQ.'U'
2789 *
2790 * Generate data in array A.
2791 *
2792 DO 20 J = 1, N
2793 DO 10 I = 1, M
2794 IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
2795 $ THEN
2796 IF( ( I.LE.J.AND.J - I.LE.KU ).OR.
2797 $ ( I.GE.J.AND.I - J.LE.KL ) )THEN
2798 A( I, J ) = CBEG( RESET ) + TRANSL
2799 ELSE
2800 A( I, J ) = ZERO
2801 END IF
2802 IF( I.NE.J )THEN
2803 IF( SYM )THEN
2804 A( J, I ) = CONJG( A( I, J ) )
2805 ELSE IF( TRI )THEN
2806 A( J, I ) = ZERO
2807 END IF
2808 END IF
2809 END IF
2810 10 CONTINUE
2811 IF( SYM )
2812 $ A( J, J ) = CMPLX( REAL( A( J, J ) ), RZERO )
2813 IF( TRI )
2814 $ A( J, J ) = A( J, J ) + ONE
2815 IF( UNIT )
2816 $ A( J, J ) = ONE
2817 20 CONTINUE
2818 *
2819 * Store elements in array AS in data structure required by routine.
2820 *
2821 IF( TYPE.EQ.'ge' )THEN
2822 DO 50 J = 1, N
2823 DO 30 I = 1, M
2824 AA( I + ( J - 1 )*LDA ) = A( I, J )
2825 30 CONTINUE
2826 DO 40 I = M + 1, LDA
2827 AA( I + ( J - 1 )*LDA ) = ROGUE
2828 40 CONTINUE
2829 50 CONTINUE
2830 ELSE IF( TYPE.EQ.'gb' )THEN
2831 DO 90 J = 1, N
2832 DO 60 I1 = 1, KU + 1 - J
2833 AA( I1 + ( J - 1 )*LDA ) = ROGUE
2834 60 CONTINUE
2835 DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
2836 AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J )
2837 70 CONTINUE
2838 DO 80 I3 = I2, LDA
2839 AA( I3 + ( J - 1 )*LDA ) = ROGUE
2840 80 CONTINUE
2841 90 CONTINUE
2842 ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'tr' )THEN
2843 DO 130 J = 1, N
2844 IF( UPPER )THEN
2845 IBEG = 1
2846 IF( UNIT )THEN
2847 IEND = J - 1
2848 ELSE
2849 IEND = J
2850 END IF
2851 ELSE
2852 IF( UNIT )THEN
2853 IBEG = J + 1
2854 ELSE
2855 IBEG = J
2856 END IF
2857 IEND = N
2858 END IF
2859 DO 100 I = 1, IBEG - 1
2860 AA( I + ( J - 1 )*LDA ) = ROGUE
2861 100 CONTINUE
2862 DO 110 I = IBEG, IEND
2863 AA( I + ( J - 1 )*LDA ) = A( I, J )
2864 110 CONTINUE
2865 DO 120 I = IEND + 1, LDA
2866 AA( I + ( J - 1 )*LDA ) = ROGUE
2867 120 CONTINUE
2868 IF( SYM )THEN
2869 JJ = J + ( J - 1 )*LDA
2870 AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE )
2871 END IF
2872 130 CONTINUE
2873 ELSE IF( TYPE.EQ.'hb'.OR.TYPE.EQ.'tb' )THEN
2874 DO 170 J = 1, N
2875 IF( UPPER )THEN
2876 KK = KL + 1
2877 IBEG = MAX( 1, KL + 2 - J )
2878 IF( UNIT )THEN
2879 IEND = KL
2880 ELSE
2881 IEND = KL + 1
2882 END IF
2883 ELSE
2884 KK = 1
2885 IF( UNIT )THEN
2886 IBEG = 2
2887 ELSE
2888 IBEG = 1
2889 END IF
2890 IEND = MIN( KL + 1, 1 + M - J )
2891 END IF
2892 DO 140 I = 1, IBEG - 1
2893 AA( I + ( J - 1 )*LDA ) = ROGUE
2894 140 CONTINUE
2895 DO 150 I = IBEG, IEND
2896 AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
2897 150 CONTINUE
2898 DO 160 I = IEND + 1, LDA
2899 AA( I + ( J - 1 )*LDA ) = ROGUE
2900 160 CONTINUE
2901 IF( SYM )THEN
2902 JJ = KK + ( J - 1 )*LDA
2903 AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE )
2904 END IF
2905 170 CONTINUE
2906 ELSE IF( TYPE.EQ.'hp'.OR.TYPE.EQ.'tp' )THEN
2907 IOFF = 0
2908 DO 190 J = 1, N
2909 IF( UPPER )THEN
2910 IBEG = 1
2911 IEND = J
2912 ELSE
2913 IBEG = J
2914 IEND = N
2915 END IF
2916 DO 180 I = IBEG, IEND
2917 IOFF = IOFF + 1
2918 AA( IOFF ) = A( I, J )
2919 IF( I.EQ.J )THEN
2920 IF( UNIT )
2921 $ AA( IOFF ) = ROGUE
2922 IF( SYM )
2923 $ AA( IOFF ) = CMPLX( REAL( AA( IOFF ) ), RROGUE )
2924 END IF
2925 180 CONTINUE
2926 190 CONTINUE
2927 END IF
2928 RETURN
2929 *
2930 * End of CMAKE.
2931 *
2932 END