1 PROGRAM ZBLAT2
2 *
3 * Test program for the COMPLEX*16 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_zgemv T PUT F FOR NO TEST. SAME COLUMNS.
28 * cblas_zgbmv T PUT F FOR NO TEST. SAME COLUMNS.
29 * cblas_zhemv T PUT F FOR NO TEST. SAME COLUMNS.
30 * cblas_zhbmv T PUT F FOR NO TEST. SAME COLUMNS.
31 * cblas_zhpmv T PUT F FOR NO TEST. SAME COLUMNS.
32 * cblas_ztrmv T PUT F FOR NO TEST. SAME COLUMNS.
33 * cblas_ztbmv T PUT F FOR NO TEST. SAME COLUMNS.
34 * cblas_ztpmv T PUT F FOR NO TEST. SAME COLUMNS.
35 * cblas_ztrsv T PUT F FOR NO TEST. SAME COLUMNS.
36 * cblas_ztbsv T PUT F FOR NO TEST. SAME COLUMNS.
37 * cblas_ztpsv T PUT F FOR NO TEST. SAME COLUMNS.
38 * cblas_zgerc T PUT F FOR NO TEST. SAME COLUMNS.
39 * cblas_zgeru T PUT F FOR NO TEST. SAME COLUMNS.
40 * cblas_zher T PUT F FOR NO TEST. SAME COLUMNS.
41 * cblas_zhpr T PUT F FOR NO TEST. SAME COLUMNS.
42 * cblas_zher2 T PUT F FOR NO TEST. SAME COLUMNS.
43 * cblas_zhpr2 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*16 ZERO, ONE
72 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
73 $ ONE = ( 1.0D0, 0.0D0 ) )
74 DOUBLE PRECISION RZERO, RHALF, RONE
75 PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 1.0D0 )
76 INTEGER NMAX, INCMAX
77 PARAMETER ( NMAX = 65, INCMAX = 2 )
78 INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
79 PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
80 $ NALMAX = 7, NBEMAX = 7 )
81 * .. Local Scalars ..
82 DOUBLE PRECISION EPS, ERR, THRESH
83 INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
84 $ NTRA, LAYOUT
85 LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
86 $ TSTERR, CORDER, RORDER
87 CHARACTER*1 TRANS
88 CHARACTER*12 SNAMET
89 CHARACTER*32 SNAPS
90 * .. Local Arrays ..
91 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
92 $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
93 $ X( NMAX ), XS( NMAX*INCMAX ),
94 $ XX( NMAX*INCMAX ), Y( NMAX ),
95 $ YS( NMAX*INCMAX ), YT( NMAX ),
96 $ YY( NMAX*INCMAX ), Z( 2*NMAX )
97 DOUBLE PRECISION G( NMAX )
98 INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
99 LOGICAL LTEST( NSUBS )
100 CHARACTER*12 SNAMES( NSUBS )
101 * .. External Functions ..
102 DOUBLE PRECISION DDIFF
103 LOGICAL LZE
104 EXTERNAL DDIFF, LZE
105 * .. External Subroutines ..
106 EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHK6,
107 $ CZ2CHKE, ZMVCH
108 * .. Intrinsic Functions ..
109 INTRINSIC ABS, MAX, MIN
110 * .. Scalars in Common ..
111 INTEGER INFOT, NOUTC
112 LOGICAL OK
113 CHARACTER*12 SRNAMT
114 * .. Common blocks ..
115 COMMON /INFOC/INFOT, NOUTC, OK
116 COMMON /SRNAMC/SRNAMT
117 * .. Data statements ..
118 DATA SNAMES/'cblas_zgemv ', 'cblas_zgbmv ',
119 $ 'cblas_zhemv ','cblas_zhbmv ','cblas_zhpmv ',
120 $ 'cblas_ztrmv ','cblas_ztbmv ','cblas_ztpmv ',
121 $ 'cblas_ztrsv ','cblas_ztbsv ','cblas_ztpsv ',
122 $ 'cblas_zgerc ','cblas_zgeru ','cblas_zher ',
123 $ 'cblas_zhpr ','cblas_zher2 ','cblas_zhpr2 '/
124 * .. Executable Statements ..
125 *
126 NOUTC = NOUT
127 *
128 * Read name and unit number for summary output file and open file.
129 *
130 READ( NIN, FMT = * )SNAPS
131 READ( NIN, FMT = * )NTRA
132 TRACE = NTRA.GE.0
133 IF( TRACE )THEN
134 OPEN( NTRA, FILE = SNAPS )
135 END IF
136 * Read the flag that directs rewinding of the snapshot file.
137 READ( NIN, FMT = * )REWI
138 REWI = REWI.AND.TRACE
139 * Read the flag that directs stopping on any failure.
140 READ( NIN, FMT = * )SFATAL
141 * Read the flag that indicates whether error exits are to be tested.
142 READ( NIN, FMT = * )TSTERR
143 * Read the flag that indicates whether row-major data layout to be tested.
144 READ( NIN, FMT = * )LAYOUT
145 * Read the threshold value of the test ratio
146 READ( NIN, FMT = * )THRESH
147 *
148 * Read and check the parameter values for the tests.
149 *
150 * Values of N
151 READ( NIN, FMT = * )NIDIM
152 IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
153 WRITE( NOUT, FMT = 9997 )'N', NIDMAX
154 GO TO 230
155 END IF
156 READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
157 DO 10 I = 1, NIDIM
158 IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
159 WRITE( NOUT, FMT = 9996 )NMAX
160 GO TO 230
161 END IF
162 10 CONTINUE
163 * Values of K
164 READ( NIN, FMT = * )NKB
165 IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
166 WRITE( NOUT, FMT = 9997 )'K', NKBMAX
167 GO TO 230
168 END IF
169 READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
170 DO 20 I = 1, NKB
171 IF( KB( I ).LT.0 )THEN
172 WRITE( NOUT, FMT = 9995 )
173 GO TO 230
174 END IF
175 20 CONTINUE
176 * Values of INCX and INCY
177 READ( NIN, FMT = * )NINC
178 IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN
179 WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX
180 GO TO 230
181 END IF
182 READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
183 DO 30 I = 1, NINC
184 IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
185 WRITE( NOUT, FMT = 9994 )INCMAX
186 GO TO 230
187 END IF
188 30 CONTINUE
189 * Values of ALPHA
190 READ( NIN, FMT = * )NALF
191 IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
192 WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
193 GO TO 230
194 END IF
195 READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
196 * Values of BETA
197 READ( NIN, FMT = * )NBET
198 IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
199 WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
200 GO TO 230
201 END IF
202 READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
203 *
204 * Report values of parameters.
205 *
206 WRITE( NOUT, FMT = 9993 )
207 WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
208 WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB )
209 WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC )
210 WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF )
211 WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET )
212 IF( .NOT.TSTERR )THEN
213 WRITE( NOUT, FMT = * )
214 WRITE( NOUT, FMT = 9980 )
215 END IF
216 WRITE( NOUT, FMT = * )
217 WRITE( NOUT, FMT = 9999 )THRESH
218 WRITE( NOUT, FMT = * )
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( DDIFF( 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 ZMVCH 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 ZMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
282 $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
283 SAME = LZE( 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 ZMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
290 $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
291 SAME = LZE( 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 CZ2CHKE( 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 ZGEMV, 01, and ZGBMV, 02.
319 140 IF (CORDER) THEN
320 CALL ZCHK1( 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 ZCHK1( 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 ZHEMV, 03, ZHBMV, 04, and ZHPMV, 05.
333 150 IF (CORDER) THEN
334 CALL ZCHK2( 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 ZCHK2( 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 ZTRMV, 06, ZTBMV, 07, ZTPMV, 08,
347 * ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11.
348 160 IF (CORDER) THEN
349 CALL ZCHK3( 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 ZCHK3( 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 ZGERC, 12, ZGERU, 13.
362 170 IF (CORDER) THEN
363 CALL ZCHK4( 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 ZCHK4( 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 ZHER, 14, and ZHPR, 15.
376 180 IF (CORDER) THEN
377 CALL ZCHK5( 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 ZCHK5( 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 ZHER2, 16, and ZHPR2, 17.
390 190 IF (CORDER) THEN
391 CALL ZCHK6( 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 ZCHK6( 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*16 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 ZBLAT2.
460 *
461 END
462 SUBROUTINE ZCHK1( 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*16 ZERO, HALF
477 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
478 $ HALF = ( 0.5D0, 0.0D0 ) )
479 DOUBLE PRECISION RZERO
480 PARAMETER ( RZERO = 0.0D0 )
481 * .. Scalar Arguments ..
482 DOUBLE PRECISION EPS, THRESH
483 INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
484 $ NOUT, NTRA, IORDER
485 LOGICAL FATAL, REWI, TRACE
486 CHARACTER*12 SNAME
487 * .. Array Arguments ..
488 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
489 $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
490 $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
491 $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
492 $ YY( NMAX*INCMAX )
493 DOUBLE PRECISION G( NMAX )
494 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
495 * .. Local Scalars ..
496 COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
497 DOUBLE PRECISION ERR, ERRMAX
498 INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
499 $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
500 $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
501 $ NL, NS
502 LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
503 CHARACTER*1 TRANS, TRANSS
504 CHARACTER*14 CTRANS
505 CHARACTER*3 ICH
506 * .. Local Arrays ..
507 LOGICAL ISAME( 13 )
508 * .. External Functions ..
509 LOGICAL LZE, LZERES
510 EXTERNAL LZE, LZERES
511 * .. External Subroutines ..
512 EXTERNAL CZGBMV, CZGEMV, ZMAKE, ZMVCH
513 * .. Intrinsic Functions ..
514 INTRINSIC ABS, MAX, MIN
515 * .. Scalars in Common ..
516 INTEGER INFOT, NOUTC
517 LOGICAL OK
518 * .. Common blocks ..
519 COMMON /INFOC/INFOT, NOUTC, OK
520 * .. Data statements ..
521 DATA ICH/'NTC'/
522 * .. Executable Statements ..
523 FULL = SNAME( 9: 9 ).EQ.'e'
524 BANDED = SNAME( 9: 9 ).EQ.'b'
525 * Define the number of arguments.
526 IF( FULL )THEN
527 NARGS = 11
528 ELSE IF( BANDED )THEN
529 NARGS = 13
530 END IF
531 *
532 NC = 0
533 RESET = .TRUE.
534 ERRMAX = RZERO
535 *
536 DO 120 IN = 1, NIDIM
537 N = IDIM( IN )
538 ND = N/2 + 1
539 *
540 DO 110 IM = 1, 2
541 IF( IM.EQ.1 )
542 $ M = MAX( N - ND, 0 )
543 IF( IM.EQ.2 )
544 $ M = MIN( N + ND, NMAX )
545 *
546 IF( BANDED )THEN
547 NK = NKB
548 ELSE
549 NK = 1
550 END IF
551 DO 100 IKU = 1, NK
552 IF( BANDED )THEN
553 KU = KB( IKU )
554 KL = MAX( KU - 1, 0 )
555 ELSE
556 KU = N - 1
557 KL = M - 1
558 END IF
559 * Set LDA to 1 more than minimum value if room.
560 IF( BANDED )THEN
561 LDA = KL + KU + 1
562 ELSE
563 LDA = M
564 END IF
565 IF( LDA.LT.NMAX )
566 $ LDA = LDA + 1
567 * Skip tests if not enough room.
568 IF( LDA.GT.NMAX )
569 $ GO TO 100
570 LAA = LDA*N
571 NULL = N.LE.0.OR.M.LE.0
572 *
573 * Generate the matrix A.
574 *
575 TRANSL = ZERO
576 CALL ZMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
577 $ LDA, KL, KU, RESET, TRANSL )
578 *
579 DO 90 IC = 1, 3
580 TRANS = ICH( IC: IC )
581 IF (TRANS.EQ.'N')THEN
582 CTRANS = ' CblasNoTrans'
583 ELSE IF (TRANS.EQ.'T')THEN
584 CTRANS = ' CblasTrans'
585 ELSE
586 CTRANS = 'CblasConjTrans'
587 END IF
588 TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
589 *
590 IF( TRAN )THEN
591 ML = N
592 NL = M
593 ELSE
594 ML = M
595 NL = N
596 END IF
597 *
598 DO 80 IX = 1, NINC
599 INCX = INC( IX )
600 LX = ABS( INCX )*NL
601 *
602 * Generate the vector X.
603 *
604 TRANSL = HALF
605 CALL ZMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
606 $ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
607 IF( NL.GT.1 )THEN
608 X( NL/2 ) = ZERO
609 XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
610 END IF
611 *
612 DO 70 IY = 1, NINC
613 INCY = INC( IY )
614 LY = ABS( INCY )*ML
615 *
616 DO 60 IA = 1, NALF
617 ALPHA = ALF( IA )
618 *
619 DO 50 IB = 1, NBET
620 BETA = BET( IB )
621 *
622 * Generate the vector Y.
623 *
624 TRANSL = ZERO
625 CALL ZMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
626 $ YY, ABS( INCY ), 0, ML - 1,
627 $ RESET, TRANSL )
628 *
629 NC = NC + 1
630 *
631 * Save every datum before calling the
632 * subroutine.
633 *
634 TRANSS = TRANS
635 MS = M
636 NS = N
637 KLS = KL
638 KUS = KU
639 ALS = ALPHA
640 DO 10 I = 1, LAA
641 AS( I ) = AA( I )
642 10 CONTINUE
643 LDAS = LDA
644 DO 20 I = 1, LX
645 XS( I ) = XX( I )
646 20 CONTINUE
647 INCXS = INCX
648 BLS = BETA
649 DO 30 I = 1, LY
650 YS( I ) = YY( I )
651 30 CONTINUE
652 INCYS = INCY
653 *
654 * Call the subroutine.
655 *
656 IF( FULL )THEN
657 IF( TRACE )
658 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
659 $ CTRANS, M, N, ALPHA, LDA, INCX, BETA,
660 $ INCY
661 IF( REWI )
662 $ REWIND NTRA
663 CALL CZGEMV( IORDER, TRANS, M, N,
664 $ ALPHA, AA, LDA, XX, INCX,
665 $ BETA, YY, INCY )
666 ELSE IF( BANDED )THEN
667 IF( TRACE )
668 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
669 $ CTRANS, M, N, KL, KU, ALPHA, LDA,
670 $ INCX, BETA, INCY
671 IF( REWI )
672 $ REWIND NTRA
673 CALL CZGBMV( IORDER, TRANS, M, N, KL,
674 $ KU, ALPHA, AA, LDA, XX,
675 $ INCX, BETA, YY, INCY )
676 END IF
677 *
678 * Check if error-exit was taken incorrectly.
679 *
680 IF( .NOT.OK )THEN
681 WRITE( NOUT, FMT = 9993 )
682 FATAL = .TRUE.
683 GO TO 130
684 END IF
685 *
686 * See what data changed inside subroutines.
687 *
688 * IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN
689 ISAME( 1 ) = TRANS.EQ.TRANSS
690 ISAME( 2 ) = MS.EQ.M
691 ISAME( 3 ) = NS.EQ.N
692 IF( FULL )THEN
693 ISAME( 4 ) = ALS.EQ.ALPHA
694 ISAME( 5 ) = LZE( AS, AA, LAA )
695 ISAME( 6 ) = LDAS.EQ.LDA
696 ISAME( 7 ) = LZE( XS, XX, LX )
697 ISAME( 8 ) = INCXS.EQ.INCX
698 ISAME( 9 ) = BLS.EQ.BETA
699 IF( NULL )THEN
700 ISAME( 10 ) = LZE( YS, YY, LY )
701 ELSE
702 ISAME( 10 ) = LZERES( 'ge', ' ', 1,
703 $ ML, YS, YY,
704 $ ABS( INCY ) )
705 END IF
706 ISAME( 11 ) = INCYS.EQ.INCY
707 ELSE IF( BANDED )THEN
708 ISAME( 4 ) = KLS.EQ.KL
709 ISAME( 5 ) = KUS.EQ.KU
710 ISAME( 6 ) = ALS.EQ.ALPHA
711 ISAME( 7 ) = LZE( AS, AA, LAA )
712 ISAME( 8 ) = LDAS.EQ.LDA
713 ISAME( 9 ) = LZE( XS, XX, LX )
714 ISAME( 10 ) = INCXS.EQ.INCX
715 ISAME( 11 ) = BLS.EQ.BETA
716 IF( NULL )THEN
717 ISAME( 12 ) = LZE( YS, YY, LY )
718 ELSE
719 ISAME( 12 ) = LZERES( 'ge', ' ', 1,
720 $ ML, YS, YY,
721 $ ABS( INCY ) )
722 END IF
723 ISAME( 13 ) = INCYS.EQ.INCY
724 END IF
725 *
726 * If data was incorrectly changed, report
727 * and return.
728 *
729 SAME = .TRUE.
730 DO 40 I = 1, NARGS
731 SAME = SAME.AND.ISAME( I )
732 IF( .NOT.ISAME( I ) )
733 $ WRITE( NOUT, FMT = 9998 )I
734 40 CONTINUE
735 IF( .NOT.SAME )THEN
736 FATAL = .TRUE.
737 GO TO 130
738 END IF
739 *
740 IF( .NOT.NULL )THEN
741 *
742 * Check the result.
743 *
744 CALL ZMVCH( TRANS, M, N, ALPHA, A,
745 $ NMAX, X, INCX, BETA, Y,
746 $ INCY, YT, G, YY, EPS, ERR,
747 $ FATAL, NOUT, .TRUE. )
748 ERRMAX = MAX( ERRMAX, ERR )
749 * If got really bad answer, report and
750 * return.
751 IF( FATAL )
752 $ GO TO 130
753 ELSE
754 * Avoid repeating tests with M.le.0 or
755 * N.le.0.
756 GO TO 110
757 END IF
758 * END IF
759 *
760 50 CONTINUE
761 *
762 60 CONTINUE
763 *
764 70 CONTINUE
765 *
766 80 CONTINUE
767 *
768 90 CONTINUE
769 *
770 100 CONTINUE
771 *
772 110 CONTINUE
773 *
774 120 CONTINUE
775 *
776 * Report result.
777 *
778 IF( ERRMAX.LT.THRESH )THEN
779 WRITE( NOUT, FMT = 9999 )SNAME, NC
780 ELSE
781 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
782 END IF
783 GO TO 140
784 *
785 130 CONTINUE
786 WRITE( NOUT, FMT = 9996 )SNAME
787 IF( FULL )THEN
788 WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
789 $ INCX, BETA, INCY
790 ELSE IF( BANDED )THEN
791 WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
792 $ ALPHA, LDA, INCX, BETA, INCY
793 END IF
794 *
795 140 CONTINUE
796 RETURN
797 *
798 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
799 $ 'S)' )
800 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
801 $ 'ANGED INCORRECTLY *******' )
802 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
803 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
804 $ ' - SUSPECT *******' )
805 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
806 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), '(',
807 $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
808 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
809 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
810 $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
811 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
812 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
813 $ '******' )
814 *
815 * End of ZCHK1.
816 *
817 END
818 SUBROUTINE ZCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
819 $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
820 $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
821 $ XS, Y, YY, YS, YT, G, IORDER )
822 *
823 * Tests CHEMV, CHBMV and CHPMV.
824 *
825 * Auxiliary routine for test program for Level 2 Blas.
826 *
827 * -- Written on 10-August-1987.
828 * Richard Hanson, Sandia National Labs.
829 * Jeremy Du Croz, NAG Central Office.
830 *
831 * .. Parameters ..
832 COMPLEX*16 ZERO, HALF
833 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
834 $ HALF = ( 0.5D0, 0.0D0 ) )
835 DOUBLE PRECISION RZERO
836 PARAMETER ( RZERO = 0.0D0 )
837 * .. Scalar Arguments ..
838 DOUBLE PRECISION EPS, THRESH
839 INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
840 $ NOUT, NTRA, IORDER
841 LOGICAL FATAL, REWI, TRACE
842 CHARACTER*12 SNAME
843 * .. Array Arguments ..
844 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
845 $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
846 $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
847 $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
848 $ YY( NMAX*INCMAX )
849 DOUBLE PRECISION G( NMAX )
850 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
851 * .. Local Scalars ..
852 COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
853 DOUBLE PRECISION ERR, ERRMAX
854 INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY,
855 $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
856 $ N, NARGS, NC, NK, NS
857 LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
858 CHARACTER*1 UPLO, UPLOS
859 CHARACTER*14 CUPLO
860 CHARACTER*2 ICH
861 * .. Local Arrays ..
862 LOGICAL ISAME( 13 )
863 * .. External Functions ..
864 LOGICAL LZE, LZERES
865 EXTERNAL LZE, LZERES
866 * .. External Subroutines ..
867 EXTERNAL CZHBMV, CZHEMV, CZHPMV, ZMAKE, ZMVCH
868 * .. Intrinsic Functions ..
869 INTRINSIC ABS, MAX
870 * .. Scalars in Common ..
871 INTEGER INFOT, NOUTC
872 LOGICAL OK
873 * .. Common blocks ..
874 COMMON /INFOC/INFOT, NOUTC, OK
875 * .. Data statements ..
876 DATA ICH/'UL'/
877 * .. Executable Statements ..
878 FULL = SNAME( 9: 9 ).EQ.'e'
879 BANDED = SNAME( 9: 9 ).EQ.'b'
880 PACKED = SNAME( 9: 9 ).EQ.'p'
881 * Define the number of arguments.
882 IF( FULL )THEN
883 NARGS = 10
884 ELSE IF( BANDED )THEN
885 NARGS = 11
886 ELSE IF( PACKED )THEN
887 NARGS = 9
888 END IF
889 *
890 NC = 0
891 RESET = .TRUE.
892 ERRMAX = RZERO
893 *
894 DO 110 IN = 1, NIDIM
895 N = IDIM( IN )
896 *
897 IF( BANDED )THEN
898 NK = NKB
899 ELSE
900 NK = 1
901 END IF
902 DO 100 IK = 1, NK
903 IF( BANDED )THEN
904 K = KB( IK )
905 ELSE
906 K = N - 1
907 END IF
908 * Set LDA to 1 more than minimum value if room.
909 IF( BANDED )THEN
910 LDA = K + 1
911 ELSE
912 LDA = N
913 END IF
914 IF( LDA.LT.NMAX )
915 $ LDA = LDA + 1
916 * Skip tests if not enough room.
917 IF( LDA.GT.NMAX )
918 $ GO TO 100
919 IF( PACKED )THEN
920 LAA = ( N*( N + 1 ) )/2
921 ELSE
922 LAA = LDA*N
923 END IF
924 NULL = N.LE.0
925 *
926 DO 90 IC = 1, 2
927 UPLO = ICH( IC: IC )
928 IF (UPLO.EQ.'U')THEN
929 CUPLO = ' CblasUpper'
930 ELSE
931 CUPLO = ' CblasLower'
932 END IF
933 *
934 * Generate the matrix A.
935 *
936 TRANSL = ZERO
937 CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
938 $ LDA, K, K, RESET, TRANSL )
939 *
940 DO 80 IX = 1, NINC
941 INCX = INC( IX )
942 LX = ABS( INCX )*N
943 *
944 * Generate the vector X.
945 *
946 TRANSL = HALF
947 CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
948 $ ABS( INCX ), 0, N - 1, RESET, TRANSL )
949 IF( N.GT.1 )THEN
950 X( N/2 ) = ZERO
951 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
952 END IF
953 *
954 DO 70 IY = 1, NINC
955 INCY = INC( IY )
956 LY = ABS( INCY )*N
957 *
958 DO 60 IA = 1, NALF
959 ALPHA = ALF( IA )
960 *
961 DO 50 IB = 1, NBET
962 BETA = BET( IB )
963 *
964 * Generate the vector Y.
965 *
966 TRANSL = ZERO
967 CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
968 $ ABS( INCY ), 0, N - 1, RESET,
969 $ TRANSL )
970 *
971 NC = NC + 1
972 *
973 * Save every datum before calling the
974 * subroutine.
975 *
976 UPLOS = UPLO
977 NS = N
978 KS = K
979 ALS = ALPHA
980 DO 10 I = 1, LAA
981 AS( I ) = AA( I )
982 10 CONTINUE
983 LDAS = LDA
984 DO 20 I = 1, LX
985 XS( I ) = XX( I )
986 20 CONTINUE
987 INCXS = INCX
988 BLS = BETA
989 DO 30 I = 1, LY
990 YS( I ) = YY( I )
991 30 CONTINUE
992 INCYS = INCY
993 *
994 * Call the subroutine.
995 *
996 IF( FULL )THEN
997 IF( TRACE )
998 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
999 $ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
1000 IF( REWI )
1001 $ REWIND NTRA
1002 CALL CZHEMV( IORDER, UPLO, N, ALPHA, AA,
1003 $ LDA, XX, INCX, BETA, YY,
1004 $ INCY )
1005 ELSE IF( BANDED )THEN
1006 IF( TRACE )
1007 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1008 $ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
1009 $ INCY
1010 IF( REWI )
1011 $ REWIND NTRA
1012 CALL CZHBMV( IORDER, UPLO, N, K, ALPHA,
1013 $ AA, LDA, XX, INCX, BETA,
1014 $ YY, INCY )
1015 ELSE IF( PACKED )THEN
1016 IF( TRACE )
1017 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1018 $ CUPLO, N, ALPHA, INCX, BETA, INCY
1019 IF( REWI )
1020 $ REWIND NTRA
1021 CALL CZHPMV( IORDER, UPLO, N, ALPHA, AA,
1022 $ XX, INCX, BETA, YY, INCY )
1023 END IF
1024 *
1025 * Check if error-exit was taken incorrectly.
1026 *
1027 IF( .NOT.OK )THEN
1028 WRITE( NOUT, FMT = 9992 )
1029 FATAL = .TRUE.
1030 GO TO 120
1031 END IF
1032 *
1033 * See what data changed inside subroutines.
1034 *
1035 ISAME( 1 ) = UPLO.EQ.UPLOS
1036 ISAME( 2 ) = NS.EQ.N
1037 IF( FULL )THEN
1038 ISAME( 3 ) = ALS.EQ.ALPHA
1039 ISAME( 4 ) = LZE( AS, AA, LAA )
1040 ISAME( 5 ) = LDAS.EQ.LDA
1041 ISAME( 6 ) = LZE( XS, XX, LX )
1042 ISAME( 7 ) = INCXS.EQ.INCX
1043 ISAME( 8 ) = BLS.EQ.BETA
1044 IF( NULL )THEN
1045 ISAME( 9 ) = LZE( YS, YY, LY )
1046 ELSE
1047 ISAME( 9 ) = LZERES( 'ge', ' ', 1, N,
1048 $ YS, YY, ABS( INCY ) )
1049 END IF
1050 ISAME( 10 ) = INCYS.EQ.INCY
1051 ELSE IF( BANDED )THEN
1052 ISAME( 3 ) = KS.EQ.K
1053 ISAME( 4 ) = ALS.EQ.ALPHA
1054 ISAME( 5 ) = LZE( AS, AA, LAA )
1055 ISAME( 6 ) = LDAS.EQ.LDA
1056 ISAME( 7 ) = LZE( XS, XX, LX )
1057 ISAME( 8 ) = INCXS.EQ.INCX
1058 ISAME( 9 ) = BLS.EQ.BETA
1059 IF( NULL )THEN
1060 ISAME( 10 ) = LZE( YS, YY, LY )
1061 ELSE
1062 ISAME( 10 ) = LZERES( 'ge', ' ', 1, N,
1063 $ YS, YY, ABS( INCY ) )
1064 END IF
1065 ISAME( 11 ) = INCYS.EQ.INCY
1066 ELSE IF( PACKED )THEN
1067 ISAME( 3 ) = ALS.EQ.ALPHA
1068 ISAME( 4 ) = LZE( AS, AA, LAA )
1069 ISAME( 5 ) = LZE( XS, XX, LX )
1070 ISAME( 6 ) = INCXS.EQ.INCX
1071 ISAME( 7 ) = BLS.EQ.BETA
1072 IF( NULL )THEN
1073 ISAME( 8 ) = LZE( YS, YY, LY )
1074 ELSE
1075 ISAME( 8 ) = LZERES( 'ge', ' ', 1, N,
1076 $ YS, YY, ABS( INCY ) )
1077 END IF
1078 ISAME( 9 ) = INCYS.EQ.INCY
1079 END IF
1080 *
1081 * If data was incorrectly changed, report and
1082 * return.
1083 *
1084 SAME = .TRUE.
1085 DO 40 I = 1, NARGS
1086 SAME = SAME.AND.ISAME( I )
1087 IF( .NOT.ISAME( I ) )
1088 $ WRITE( NOUT, FMT = 9998 )I
1089 40 CONTINUE
1090 IF( .NOT.SAME )THEN
1091 FATAL = .TRUE.
1092 GO TO 120
1093 END IF
1094 *
1095 IF( .NOT.NULL )THEN
1096 *
1097 * Check the result.
1098 *
1099 CALL ZMVCH( 'N', N, N, ALPHA, A, NMAX, X,
1100 $ INCX, BETA, Y, INCY, YT, G,
1101 $ YY, EPS, ERR, FATAL, NOUT,
1102 $ .TRUE. )
1103 ERRMAX = MAX( ERRMAX, ERR )
1104 * If got really bad answer, report and
1105 * return.
1106 IF( FATAL )
1107 $ GO TO 120
1108 ELSE
1109 * Avoid repeating tests with N.le.0
1110 GO TO 110
1111 END IF
1112 *
1113 50 CONTINUE
1114 *
1115 60 CONTINUE
1116 *
1117 70 CONTINUE
1118 *
1119 80 CONTINUE
1120 *
1121 90 CONTINUE
1122 *
1123 100 CONTINUE
1124 *
1125 110 CONTINUE
1126 *
1127 * Report result.
1128 *
1129 IF( ERRMAX.LT.THRESH )THEN
1130 WRITE( NOUT, FMT = 9999 )SNAME, NC
1131 ELSE
1132 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1133 END IF
1134 GO TO 130
1135 *
1136 120 CONTINUE
1137 WRITE( NOUT, FMT = 9996 )SNAME
1138 IF( FULL )THEN
1139 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA, INCX,
1140 $ BETA, INCY
1141 ELSE IF( BANDED )THEN
1142 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
1143 $ INCX, BETA, INCY
1144 ELSE IF( PACKED )THEN
1145 WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
1146 $ BETA, INCY
1147 END IF
1148 *
1149 130 CONTINUE
1150 RETURN
1151 *
1152 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1153 $ 'S)' )
1154 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1155 $ 'ANGED INCORRECTLY *******' )
1156 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1157 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1158 $ ' - SUSPECT *******' )
1159 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1160 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
1161 $ F4.1, '), AP, X,',/ 10x, I2, ',(', F4.1, ',', F4.1,
1162 $ '), Y,', I2, ') .' )
1163 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
1164 $ F4.1, ',', F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(',
1165 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
1166 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
1167 $ F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(', F4.1, ',',
1168 $ F4.1, '), ', 'Y,', I2, ') .' )
1169 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1170 $ '******' )
1171 *
1172 * End of CZHK2.
1173 *
1174 END
1175 SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1176 $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
1177 $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
1178 *
1179 * Tests ZTRMV, ZTBMV, ZTPMV, ZTRSV, ZTBSV and ZTPSV.
1180 *
1181 * Auxiliary routine for test program for Level 2 Blas.
1182 *
1183 * -- Written on 10-August-1987.
1184 * Richard Hanson, Sandia National Labs.
1185 * Jeremy Du Croz, NAG Central Office.
1186 *
1187 * .. Parameters ..
1188 COMPLEX*16 ZERO, HALF, ONE
1189 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
1190 $ HALF = ( 0.5D0, 0.0D0 ),
1191 $ ONE = ( 1.0D0, 0.0D0 ) )
1192 DOUBLE PRECISION RZERO
1193 PARAMETER ( RZERO = 0.0D0 )
1194 * .. Scalar Arguments ..
1195 DOUBLE PRECISION EPS, THRESH
1196 INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
1197 $ IORDER
1198 LOGICAL FATAL, REWI, TRACE
1199 CHARACTER*12 SNAME
1200 * .. Array Arguments ..
1201 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
1202 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1203 $ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
1204 DOUBLE PRECISION G( NMAX )
1205 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
1206 * .. Local Scalars ..
1207 COMPLEX*16 TRANSL
1208 DOUBLE PRECISION ERR, ERRMAX
1209 INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
1210 $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
1211 LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
1212 CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
1213 CHARACTER*14 CUPLO,CTRANS,CDIAG
1214 CHARACTER*2 ICHD, ICHU
1215 CHARACTER*3 ICHT
1216 * .. Local Arrays ..
1217 LOGICAL ISAME( 13 )
1218 * .. External Functions ..
1219 LOGICAL LZE, LZERES
1220 EXTERNAL LZE, LZERES
1221 * .. External Subroutines ..
1222 EXTERNAL ZMAKE, ZMVCH, CZTBMV, CZTBSV, CZTPMV,
1223 $ CZTPSV, CZTRMV, CZTRSV
1224 * .. Intrinsic Functions ..
1225 INTRINSIC ABS, MAX
1226 * .. Scalars in Common ..
1227 INTEGER INFOT, NOUTC
1228 LOGICAL OK
1229 * .. Common blocks ..
1230 COMMON /INFOC/INFOT, NOUTC, OK
1231 * .. Data statements ..
1232 DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
1233 * .. Executable Statements ..
1234 FULL = SNAME( 9: 9 ).EQ.'r'
1235 BANDED = SNAME( 9: 9 ).EQ.'b'
1236 PACKED = SNAME( 9: 9 ).EQ.'p'
1237 * Define the number of arguments.
1238 IF( FULL )THEN
1239 NARGS = 8
1240 ELSE IF( BANDED )THEN
1241 NARGS = 9
1242 ELSE IF( PACKED )THEN
1243 NARGS = 7
1244 END IF
1245 *
1246 NC = 0
1247 RESET = .TRUE.
1248 ERRMAX = RZERO
1249 * Set up zero vector for ZMVCH.
1250 DO 10 I = 1, NMAX
1251 Z( I ) = ZERO
1252 10 CONTINUE
1253 *
1254 DO 110 IN = 1, NIDIM
1255 N = IDIM( IN )
1256 *
1257 IF( BANDED )THEN
1258 NK = NKB
1259 ELSE
1260 NK = 1
1261 END IF
1262 DO 100 IK = 1, NK
1263 IF( BANDED )THEN
1264 K = KB( IK )
1265 ELSE
1266 K = N - 1
1267 END IF
1268 * Set LDA to 1 more than minimum value if room.
1269 IF( BANDED )THEN
1270 LDA = K + 1
1271 ELSE
1272 LDA = N
1273 END IF
1274 IF( LDA.LT.NMAX )
1275 $ LDA = LDA + 1
1276 * Skip tests if not enough room.
1277 IF( LDA.GT.NMAX )
1278 $ GO TO 100
1279 IF( PACKED )THEN
1280 LAA = ( N*( N + 1 ) )/2
1281 ELSE
1282 LAA = LDA*N
1283 END IF
1284 NULL = N.LE.0
1285 *
1286 DO 90 ICU = 1, 2
1287 UPLO = ICHU( ICU: ICU )
1288 IF (UPLO.EQ.'U')THEN
1289 CUPLO = ' CblasUpper'
1290 ELSE
1291 CUPLO = ' CblasLower'
1292 END IF
1293 *
1294 DO 80 ICT = 1, 3
1295 TRANS = ICHT( ICT: ICT )
1296 IF (TRANS.EQ.'N')THEN
1297 CTRANS = ' CblasNoTrans'
1298 ELSE IF (TRANS.EQ.'T')THEN
1299 CTRANS = ' CblasTrans'
1300 ELSE
1301 CTRANS = 'CblasConjTrans'
1302 END IF
1303 *
1304 DO 70 ICD = 1, 2
1305 DIAG = ICHD( ICD: ICD )
1306 IF (DIAG.EQ.'N')THEN
1307 CDIAG = ' CblasNonUnit'
1308 ELSE
1309 CDIAG = ' CblasUnit'
1310 END IF
1311 *
1312 * Generate the matrix A.
1313 *
1314 TRANSL = ZERO
1315 CALL ZMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
1316 $ NMAX, AA, LDA, K, K, RESET, TRANSL )
1317 *
1318 DO 60 IX = 1, NINC
1319 INCX = INC( IX )
1320 LX = ABS( INCX )*N
1321 *
1322 * Generate the vector X.
1323 *
1324 TRANSL = HALF
1325 CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
1326 $ ABS( INCX ), 0, N - 1, RESET,
1327 $ TRANSL )
1328 IF( N.GT.1 )THEN
1329 X( N/2 ) = ZERO
1330 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1331 END IF
1332 *
1333 NC = NC + 1
1334 *
1335 * Save every datum before calling the subroutine.
1336 *
1337 UPLOS = UPLO
1338 TRANSS = TRANS
1339 DIAGS = DIAG
1340 NS = N
1341 KS = K
1342 DO 20 I = 1, LAA
1343 AS( I ) = AA( I )
1344 20 CONTINUE
1345 LDAS = LDA
1346 DO 30 I = 1, LX
1347 XS( I ) = XX( I )
1348 30 CONTINUE
1349 INCXS = INCX
1350 *
1351 * Call the subroutine.
1352 *
1353 IF( SNAME( 4: 5 ).EQ.'mv' )THEN
1354 IF( FULL )THEN
1355 IF( TRACE )
1356 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1357 $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1358 IF( REWI )
1359 $ REWIND NTRA
1360 CALL CZTRMV( IORDER, UPLO, TRANS, DIAG,
1361 $ N, AA, LDA, XX, INCX )
1362 ELSE IF( BANDED )THEN
1363 IF( TRACE )
1364 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1365 $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1366 IF( REWI )
1367 $ REWIND NTRA
1368 CALL CZTBMV( IORDER, UPLO, TRANS, DIAG,
1369 $ N, K, AA, LDA, XX, INCX )
1370 ELSE IF( PACKED )THEN
1371 IF( TRACE )
1372 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1373 $ CUPLO, CTRANS, CDIAG, N, INCX
1374 IF( REWI )
1375 $ REWIND NTRA
1376 CALL CZTPMV( IORDER, UPLO, TRANS, DIAG,
1377 $ N, AA, XX, INCX )
1378 END IF
1379 ELSE IF( SNAME( 4: 5 ).EQ.'sv' )THEN
1380 IF( FULL )THEN
1381 IF( TRACE )
1382 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1383 $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1384 IF( REWI )
1385 $ REWIND NTRA
1386 CALL CZTRSV( IORDER, UPLO, TRANS, DIAG,
1387 $ N, AA, LDA, XX, INCX )
1388 ELSE IF( BANDED )THEN
1389 IF( TRACE )
1390 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1391 $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1392 IF( REWI )
1393 $ REWIND NTRA
1394 CALL CZTBSV( IORDER, UPLO, TRANS, DIAG,
1395 $ N, K, AA, LDA, XX, INCX )
1396 ELSE IF( PACKED )THEN
1397 IF( TRACE )
1398 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1399 $ CUPLO, CTRANS, CDIAG, N, INCX
1400 IF( REWI )
1401 $ REWIND NTRA
1402 CALL CZTPSV( IORDER, UPLO, TRANS, DIAG,
1403 $ N, AA, XX, INCX )
1404 END IF
1405 END IF
1406 *
1407 * Check if error-exit was taken incorrectly.
1408 *
1409 IF( .NOT.OK )THEN
1410 WRITE( NOUT, FMT = 9992 )
1411 FATAL = .TRUE.
1412 GO TO 120
1413 END IF
1414 *
1415 * See what data changed inside subroutines.
1416 *
1417 ISAME( 1 ) = UPLO.EQ.UPLOS
1418 ISAME( 2 ) = TRANS.EQ.TRANSS
1419 ISAME( 3 ) = DIAG.EQ.DIAGS
1420 ISAME( 4 ) = NS.EQ.N
1421 IF( FULL )THEN
1422 ISAME( 5 ) = LZE( AS, AA, LAA )
1423 ISAME( 6 ) = LDAS.EQ.LDA
1424 IF( NULL )THEN
1425 ISAME( 7 ) = LZE( XS, XX, LX )
1426 ELSE
1427 ISAME( 7 ) = LZERES( 'ge', ' ', 1, N, XS,
1428 $ XX, ABS( INCX ) )
1429 END IF
1430 ISAME( 8 ) = INCXS.EQ.INCX
1431 ELSE IF( BANDED )THEN
1432 ISAME( 5 ) = KS.EQ.K
1433 ISAME( 6 ) = LZE( AS, AA, LAA )
1434 ISAME( 7 ) = LDAS.EQ.LDA
1435 IF( NULL )THEN
1436 ISAME( 8 ) = LZE( XS, XX, LX )
1437 ELSE
1438 ISAME( 8 ) = LZERES( 'ge', ' ', 1, N, XS,
1439 $ XX, ABS( INCX ) )
1440 END IF
1441 ISAME( 9 ) = INCXS.EQ.INCX
1442 ELSE IF( PACKED )THEN
1443 ISAME( 5 ) = LZE( AS, AA, LAA )
1444 IF( NULL )THEN
1445 ISAME( 6 ) = LZE( XS, XX, LX )
1446 ELSE
1447 ISAME( 6 ) = LZERES( 'ge', ' ', 1, N, XS,
1448 $ XX, ABS( INCX ) )
1449 END IF
1450 ISAME( 7 ) = INCXS.EQ.INCX
1451 END IF
1452 *
1453 * If data was incorrectly changed, report and
1454 * return.
1455 *
1456 SAME = .TRUE.
1457 DO 40 I = 1, NARGS
1458 SAME = SAME.AND.ISAME( I )
1459 IF( .NOT.ISAME( I ) )
1460 $ WRITE( NOUT, FMT = 9998 )I
1461 40 CONTINUE
1462 IF( .NOT.SAME )THEN
1463 FATAL = .TRUE.
1464 GO TO 120
1465 END IF
1466 *
1467 IF( .NOT.NULL )THEN
1468 IF( SNAME( 4: 5 ).EQ.'mv' )THEN
1469 *
1470 * Check the result.
1471 *
1472 CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X,
1473 $ INCX, ZERO, Z, INCX, XT, G,
1474 $ XX, EPS, ERR, FATAL, NOUT,
1475 $ .TRUE. )
1476 ELSE IF( SNAME( 4: 5 ).EQ.'sv' )THEN
1477 *
1478 * Compute approximation to original vector.
1479 *
1480 DO 50 I = 1, N
1481 Z( I ) = XX( 1 + ( I - 1 )*
1482 $ ABS( INCX ) )
1483 XX( 1 + ( I - 1 )*ABS( INCX ) )
1484 $ = X( I )
1485 50 CONTINUE
1486 CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, Z,
1487 $ INCX, ZERO, X, INCX, XT, G,
1488 $ XX, EPS, ERR, FATAL, NOUT,
1489 $ .FALSE. )
1490 END IF
1491 ERRMAX = MAX( ERRMAX, ERR )
1492 * If got really bad answer, report and return.
1493 IF( FATAL )
1494 $ GO TO 120
1495 ELSE
1496 * Avoid repeating tests with N.le.0.
1497 GO TO 110
1498 END IF
1499 *
1500 60 CONTINUE
1501 *
1502 70 CONTINUE
1503 *
1504 80 CONTINUE
1505 *
1506 90 CONTINUE
1507 *
1508 100 CONTINUE
1509 *
1510 110 CONTINUE
1511 *
1512 * Report result.
1513 *
1514 IF( ERRMAX.LT.THRESH )THEN
1515 WRITE( NOUT, FMT = 9999 )SNAME, NC
1516 ELSE
1517 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1518 END IF
1519 GO TO 130
1520 *
1521 120 CONTINUE
1522 WRITE( NOUT, FMT = 9996 )SNAME
1523 IF( FULL )THEN
1524 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1525 $ LDA, INCX
1526 ELSE IF( BANDED )THEN
1527 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
1528 $ LDA, INCX
1529 ELSE IF( PACKED )THEN
1530 WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1531 $ INCX
1532 END IF
1533 *
1534 130 CONTINUE
1535 RETURN
1536 *
1537 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1538 $ 'S)' )
1539 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1540 $ 'ANGED INCORRECTLY *******' )
1541 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1542 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1543 $ ' - SUSPECT *******' )
1544 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1545 9995 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', AP, ',
1546 $ 'X,', I2, ') .' )
1547 9994 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, 2( I3, ',' ),
1548 $ ' A,', I3, ', X,', I2, ') .' )
1549 9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', A,',
1550 $ I3, ', X,', I2, ') .' )
1551 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1552 $ '******' )
1553 *
1554 * End of ZCHK3.
1555 *
1556 END
1557 SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1558 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
1559 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
1560 $ Z, IORDER )
1561 *
1562 * Tests ZGERC and ZGERU.
1563 *
1564 * Auxiliary routine for test program for Level 2 Blas.
1565 *
1566 * -- Written on 10-August-1987.
1567 * Richard Hanson, Sandia National Labs.
1568 * Jeremy Du Croz, NAG Central Office.
1569 *
1570 * .. Parameters ..
1571 COMPLEX*16 ZERO, HALF, ONE
1572 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
1573 $ HALF = ( 0.5D0, 0.0D0 ),
1574 $ ONE = ( 1.0D0, 0.0D0 ) )
1575 DOUBLE PRECISION RZERO
1576 PARAMETER ( RZERO = 0.0D0 )
1577 * .. Scalar Arguments ..
1578 DOUBLE PRECISION EPS, THRESH
1579 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
1580 $ IORDER
1581 LOGICAL FATAL, REWI, TRACE
1582 CHARACTER*12 SNAME
1583 * .. Array Arguments ..
1584 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
1585 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1586 $ XX( NMAX*INCMAX ), Y( NMAX ),
1587 $ YS( NMAX*INCMAX ), YT( NMAX ),
1588 $ YY( NMAX*INCMAX ), Z( NMAX )
1589 DOUBLE PRECISION G( NMAX )
1590 INTEGER IDIM( NIDIM ), INC( NINC )
1591 * .. Local Scalars ..
1592 COMPLEX*16 ALPHA, ALS, TRANSL
1593 DOUBLE PRECISION ERR, ERRMAX
1594 INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
1595 $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
1596 $ NC, ND, NS
1597 LOGICAL CONJ, NULL, RESET, SAME
1598 * .. Local Arrays ..
1599 COMPLEX*16 W( 1 )
1600 LOGICAL ISAME( 13 )
1601 * .. External Functions ..
1602 LOGICAL LZE, LZERES
1603 EXTERNAL LZE, LZERES
1604 * .. External Subroutines ..
1605 EXTERNAL CZGERC, CZGERU, ZMAKE, ZMVCH
1606 * .. Intrinsic Functions ..
1607 INTRINSIC ABS, DCONJG, MAX, MIN
1608 * .. Scalars in Common ..
1609 INTEGER INFOT, NOUTC
1610 LOGICAL OK
1611 * .. Common blocks ..
1612 COMMON /INFOC/INFOT, NOUTC, OK
1613 * .. Executable Statements ..
1614 CONJ = SNAME( 5: 5 ).EQ.'c'
1615 * Define the number of arguments.
1616 NARGS = 9
1617 *
1618 NC = 0
1619 RESET = .TRUE.
1620 ERRMAX = RZERO
1621 *
1622 DO 120 IN = 1, NIDIM
1623 N = IDIM( IN )
1624 ND = N/2 + 1
1625 *
1626 DO 110 IM = 1, 2
1627 IF( IM.EQ.1 )
1628 $ M = MAX( N - ND, 0 )
1629 IF( IM.EQ.2 )
1630 $ M = MIN( N + ND, NMAX )
1631 *
1632 * Set LDA to 1 more than minimum value if room.
1633 LDA = M
1634 IF( LDA.LT.NMAX )
1635 $ LDA = LDA + 1
1636 * Skip tests if not enough room.
1637 IF( LDA.GT.NMAX )
1638 $ GO TO 110
1639 LAA = LDA*N
1640 NULL = N.LE.0.OR.M.LE.0
1641 *
1642 DO 100 IX = 1, NINC
1643 INCX = INC( IX )
1644 LX = ABS( INCX )*M
1645 *
1646 * Generate the vector X.
1647 *
1648 TRANSL = HALF
1649 CALL ZMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
1650 $ 0, M - 1, RESET, TRANSL )
1651 IF( M.GT.1 )THEN
1652 X( M/2 ) = ZERO
1653 XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
1654 END IF
1655 *
1656 DO 90 IY = 1, NINC
1657 INCY = INC( IY )
1658 LY = ABS( INCY )*N
1659 *
1660 * Generate the vector Y.
1661 *
1662 TRANSL = ZERO
1663 CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
1664 $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
1665 IF( N.GT.1 )THEN
1666 Y( N/2 ) = ZERO
1667 YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
1668 END IF
1669 *
1670 DO 80 IA = 1, NALF
1671 ALPHA = ALF( IA )
1672 *
1673 * Generate the matrix A.
1674 *
1675 TRANSL = ZERO
1676 CALL ZMAKE(SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
1677 $ AA, LDA, M - 1, N - 1, RESET, TRANSL )
1678 *
1679 NC = NC + 1
1680 *
1681 * Save every datum before calling the subroutine.
1682 *
1683 MS = M
1684 NS = N
1685 ALS = ALPHA
1686 DO 10 I = 1, LAA
1687 AS( I ) = AA( I )
1688 10 CONTINUE
1689 LDAS = LDA
1690 DO 20 I = 1, LX
1691 XS( I ) = XX( I )
1692 20 CONTINUE
1693 INCXS = INCX
1694 DO 30 I = 1, LY
1695 YS( I ) = YY( I )
1696 30 CONTINUE
1697 INCYS = INCY
1698 *
1699 * Call the subroutine.
1700 *
1701 IF( TRACE )
1702 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
1703 $ ALPHA, INCX, INCY, LDA
1704 IF( CONJ )THEN
1705 IF( REWI )
1706 $ REWIND NTRA
1707 CALL CZGERC( IORDER, M, N, ALPHA, XX, INCX,
1708 $ YY, INCY, AA, LDA )
1709 ELSE
1710 IF( REWI )
1711 $ REWIND NTRA
1712 CALL CZGERU( IORDER, M, N, ALPHA, XX, INCX,
1713 $ YY, INCY, AA, LDA )
1714 END IF
1715 *
1716 * Check if error-exit was taken incorrectly.
1717 *
1718 IF( .NOT.OK )THEN
1719 WRITE( NOUT, FMT = 9993 )
1720 FATAL = .TRUE.
1721 GO TO 140
1722 END IF
1723 *
1724 * See what data changed inside subroutine.
1725 *
1726 ISAME( 1 ) = MS.EQ.M
1727 ISAME( 2 ) = NS.EQ.N
1728 ISAME( 3 ) = ALS.EQ.ALPHA
1729 ISAME( 4 ) = LZE( XS, XX, LX )
1730 ISAME( 5 ) = INCXS.EQ.INCX
1731 ISAME( 6 ) = LZE( YS, YY, LY )
1732 ISAME( 7 ) = INCYS.EQ.INCY
1733 IF( NULL )THEN
1734 ISAME( 8 ) = LZE( AS, AA, LAA )
1735 ELSE
1736 ISAME( 8 ) = LZERES( 'ge', ' ', M, N, AS, AA,
1737 $ LDA )
1738 END IF
1739 ISAME( 9 ) = LDAS.EQ.LDA
1740 *
1741 * If data was incorrectly changed, report and return.
1742 *
1743 SAME = .TRUE.
1744 DO 40 I = 1, NARGS
1745 SAME = SAME.AND.ISAME( I )
1746 IF( .NOT.ISAME( I ) )
1747 $ WRITE( NOUT, FMT = 9998 )I
1748 40 CONTINUE
1749 IF( .NOT.SAME )THEN
1750 FATAL = .TRUE.
1751 GO TO 140
1752 END IF
1753 *
1754 IF( .NOT.NULL )THEN
1755 *
1756 * Check the result column by column.
1757 *
1758 IF( INCX.GT.0 )THEN
1759 DO 50 I = 1, M
1760 Z( I ) = X( I )
1761 50 CONTINUE
1762 ELSE
1763 DO 60 I = 1, M
1764 Z( I ) = X( M - I + 1 )
1765 60 CONTINUE
1766 END IF
1767 DO 70 J = 1, N
1768 IF( INCY.GT.0 )THEN
1769 W( 1 ) = Y( J )
1770 ELSE
1771 W( 1 ) = Y( N - J + 1 )
1772 END IF
1773 IF( CONJ )
1774 $ W( 1 ) = DCONJG( W( 1 ) )
1775 CALL ZMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1,
1776 $ ONE, A( 1, J ), 1, YT, G,
1777 $ AA( 1 + ( J - 1 )*LDA ), EPS,
1778 $ ERR, FATAL, NOUT, .TRUE. )
1779 ERRMAX = MAX( ERRMAX, ERR )
1780 * If got really bad answer, report and return.
1781 IF( FATAL )
1782 $ GO TO 130
1783 70 CONTINUE
1784 ELSE
1785 * Avoid repeating tests with M.le.0 or N.le.0.
1786 GO TO 110
1787 END IF
1788 *
1789 80 CONTINUE
1790 *
1791 90 CONTINUE
1792 *
1793 100 CONTINUE
1794 *
1795 110 CONTINUE
1796 *
1797 120 CONTINUE
1798 *
1799 * Report result.
1800 *
1801 IF( ERRMAX.LT.THRESH )THEN
1802 WRITE( NOUT, FMT = 9999 )SNAME, NC
1803 ELSE
1804 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1805 END IF
1806 GO TO 150
1807 *
1808 130 CONTINUE
1809 WRITE( NOUT, FMT = 9995 )J
1810 *
1811 140 CONTINUE
1812 WRITE( NOUT, FMT = 9996 )SNAME
1813 WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
1814 *
1815 150 CONTINUE
1816 RETURN
1817 *
1818 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1819 $ 'S)' )
1820 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1821 $ 'ANGED INCORRECTLY *******' )
1822 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1823 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1824 $ ' - SUSPECT *******' )
1825 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1826 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
1827 9994 FORMAT(1X, I6, ': ',A12, '(', 2( I3, ',' ), '(', F4.1, ',', F4.1,
1828 $ '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
1829 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1830 $ '******' )
1831 *
1832 * End of ZCHK4.
1833 *
1834 END
1835 SUBROUTINE ZCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1836 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
1837 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
1838 $ Z, IORDER )
1839 *
1840 * Tests ZHER and ZHPR.
1841 *
1842 * Auxiliary routine for test program for Level 2 Blas.
1843 *
1844 * -- Written on 10-August-1987.
1845 * Richard Hanson, Sandia National Labs.
1846 * Jeremy Du Croz, NAG Central Office.
1847 *
1848 * .. Parameters ..
1849 COMPLEX*16 ZERO, HALF, ONE
1850 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
1851 $ HALF = ( 0.5D0, 0.0D0 ),
1852 $ ONE = ( 1.0D0, 0.0D0 ) )
1853 DOUBLE PRECISION RZERO
1854 PARAMETER ( RZERO = 0.0D0 )
1855 * .. Scalar Arguments ..
1856 DOUBLE PRECISION EPS, THRESH
1857 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
1858 $ IORDER
1859 LOGICAL FATAL, REWI, TRACE
1860 CHARACTER*12 SNAME
1861 * .. Array Arguments ..
1862 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
1863 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1864 $ XX( NMAX*INCMAX ), Y( NMAX ),
1865 $ YS( NMAX*INCMAX ), YT( NMAX ),
1866 $ YY( NMAX*INCMAX ), Z( NMAX )
1867 DOUBLE PRECISION G( NMAX )
1868 INTEGER IDIM( NIDIM ), INC( NINC )
1869 * .. Local Scalars ..
1870 COMPLEX*16 ALPHA, TRANSL
1871 DOUBLE PRECISION ERR, ERRMAX, RALPHA, RALS
1872 INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA,
1873 $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
1874 LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
1875 CHARACTER*1 UPLO, UPLOS
1876 CHARACTER*14 CUPLO
1877 CHARACTER*2 ICH
1878 * .. Local Arrays ..
1879 COMPLEX*16 W( 1 )
1880 LOGICAL ISAME( 13 )
1881 * .. External Functions ..
1882 LOGICAL LZE, LZERES
1883 EXTERNAL LZE, LZERES
1884 * .. External Subroutines ..
1885 EXTERNAL CZHER, CZHPR, ZMAKE, ZMVCH
1886 * .. Intrinsic Functions ..
1887 INTRINSIC ABS, DCMPLX, DCONJG, MAX, DBLE
1888 * .. Scalars in Common ..
1889 INTEGER INFOT, NOUTC
1890 LOGICAL OK
1891 * .. Common blocks ..
1892 COMMON /INFOC/INFOT, NOUTC, OK
1893 * .. Data statements ..
1894 DATA ICH/'UL'/
1895 * .. Executable Statements ..
1896 FULL = SNAME( 9: 9 ).EQ.'e'
1897 PACKED = SNAME( 9: 9 ).EQ.'p'
1898 * Define the number of arguments.
1899 IF( FULL )THEN
1900 NARGS = 7
1901 ELSE IF( PACKED )THEN
1902 NARGS = 6
1903 END IF
1904 *
1905 NC = 0
1906 RESET = .TRUE.
1907 ERRMAX = RZERO
1908 *
1909 DO 100 IN = 1, NIDIM
1910 N = IDIM( IN )
1911 * Set LDA to 1 more than minimum value if room.
1912 LDA = N
1913 IF( LDA.LT.NMAX )
1914 $ LDA = LDA + 1
1915 * Skip tests if not enough room.
1916 IF( LDA.GT.NMAX )
1917 $ GO TO 100
1918 IF( PACKED )THEN
1919 LAA = ( N*( N + 1 ) )/2
1920 ELSE
1921 LAA = LDA*N
1922 END IF
1923 *
1924 DO 90 IC = 1, 2
1925 UPLO = ICH( IC: IC )
1926 IF (UPLO.EQ.'U')THEN
1927 CUPLO = ' CblasUpper'
1928 ELSE
1929 CUPLO = ' CblasLower'
1930 END IF
1931 UPPER = UPLO.EQ.'U'
1932 *
1933 DO 80 IX = 1, NINC
1934 INCX = INC( IX )
1935 LX = ABS( INCX )*N
1936 *
1937 * Generate the vector X.
1938 *
1939 TRANSL = HALF
1940 CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
1941 $ 0, N - 1, RESET, TRANSL )
1942 IF( N.GT.1 )THEN
1943 X( N/2 ) = ZERO
1944 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1945 END IF
1946 *
1947 DO 70 IA = 1, NALF
1948 RALPHA = DBLE( ALF( IA ) )
1949 ALPHA = DCMPLX( RALPHA, RZERO )
1950 NULL = N.LE.0.OR.RALPHA.EQ.RZERO
1951 *
1952 * Generate the matrix A.
1953 *
1954 TRANSL = ZERO
1955 CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
1956 $ AA, LDA, N - 1, N - 1, RESET, TRANSL )
1957 *
1958 NC = NC + 1
1959 *
1960 * Save every datum before calling the subroutine.
1961 *
1962 UPLOS = UPLO
1963 NS = N
1964 RALS = RALPHA
1965 DO 10 I = 1, LAA
1966 AS( I ) = AA( I )
1967 10 CONTINUE
1968 LDAS = LDA
1969 DO 20 I = 1, LX
1970 XS( I ) = XX( I )
1971 20 CONTINUE
1972 INCXS = INCX
1973 *
1974 * Call the subroutine.
1975 *
1976 IF( FULL )THEN
1977 IF( TRACE )
1978 $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
1979 $ RALPHA, INCX, LDA
1980 IF( REWI )
1981 $ REWIND NTRA
1982 CALL CZHER( IORDER, UPLO, N, RALPHA, XX,
1983 $ INCX, AA, LDA )
1984 ELSE IF( PACKED )THEN
1985 IF( TRACE )
1986 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
1987 $ RALPHA, INCX
1988 IF( REWI )
1989 $ REWIND NTRA
1990 CALL CZHPR( IORDER, UPLO, N, RALPHA,
1991 $ XX, INCX, AA )
1992 END IF
1993 *
1994 * Check if error-exit was taken incorrectly.
1995 *
1996 IF( .NOT.OK )THEN
1997 WRITE( NOUT, FMT = 9992 )
1998 FATAL = .TRUE.
1999 GO TO 120
2000 END IF
2001 *
2002 * See what data changed inside subroutines.
2003 *
2004 ISAME( 1 ) = UPLO.EQ.UPLOS
2005 ISAME( 2 ) = NS.EQ.N
2006 ISAME( 3 ) = RALS.EQ.RALPHA
2007 ISAME( 4 ) = LZE( XS, XX, LX )
2008 ISAME( 5 ) = INCXS.EQ.INCX
2009 IF( NULL )THEN
2010 ISAME( 6 ) = LZE( AS, AA, LAA )
2011 ELSE
2012 ISAME( 6 ) = LZERES( SNAME( 8: 9 ), UPLO, N, N, AS,
2013 $ AA, LDA )
2014 END IF
2015 IF( .NOT.PACKED )THEN
2016 ISAME( 7 ) = LDAS.EQ.LDA
2017 END IF
2018 *
2019 * If data was incorrectly changed, report and return.
2020 *
2021 SAME = .TRUE.
2022 DO 30 I = 1, NARGS
2023 SAME = SAME.AND.ISAME( I )
2024 IF( .NOT.ISAME( I ) )
2025 $ WRITE( NOUT, FMT = 9998 )I
2026 30 CONTINUE
2027 IF( .NOT.SAME )THEN
2028 FATAL = .TRUE.
2029 GO TO 120
2030 END IF
2031 *
2032 IF( .NOT.NULL )THEN
2033 *
2034 * Check the result column by column.
2035 *
2036 IF( INCX.GT.0 )THEN
2037 DO 40 I = 1, N
2038 Z( I ) = X( I )
2039 40 CONTINUE
2040 ELSE
2041 DO 50 I = 1, N
2042 Z( I ) = X( N - I + 1 )
2043 50 CONTINUE
2044 END IF
2045 JA = 1
2046 DO 60 J = 1, N
2047 W( 1 ) = DCONJG( Z( J ) )
2048 IF( UPPER )THEN
2049 JJ = 1
2050 LJ = J
2051 ELSE
2052 JJ = J
2053 LJ = N - J + 1
2054 END IF
2055 CALL ZMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W,
2056 $ 1, ONE, A( JJ, J ), 1, YT, G,
2057 $ AA( JA ), EPS, ERR, FATAL, NOUT,
2058 $ .TRUE. )
2059 IF( FULL )THEN
2060 IF( UPPER )THEN
2061 JA = JA + LDA
2062 ELSE
2063 JA = JA + LDA + 1
2064 END IF
2065 ELSE
2066 JA = JA + LJ
2067 END IF
2068 ERRMAX = MAX( ERRMAX, ERR )
2069 * If got really bad answer, report and return.
2070 IF( FATAL )
2071 $ GO TO 110
2072 60 CONTINUE
2073 ELSE
2074 * Avoid repeating tests if N.le.0.
2075 IF( N.LE.0 )
2076 $ GO TO 100
2077 END IF
2078 *
2079 70 CONTINUE
2080 *
2081 80 CONTINUE
2082 *
2083 90 CONTINUE
2084 *
2085 100 CONTINUE
2086 *
2087 * Report result.
2088 *
2089 IF( ERRMAX.LT.THRESH )THEN
2090 WRITE( NOUT, FMT = 9999 )SNAME, NC
2091 ELSE
2092 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2093 END IF
2094 GO TO 130
2095 *
2096 110 CONTINUE
2097 WRITE( NOUT, FMT = 9995 )J
2098 *
2099 120 CONTINUE
2100 WRITE( NOUT, FMT = 9996 )SNAME
2101 IF( FULL )THEN
2102 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, RALPHA, INCX, LDA
2103 ELSE IF( PACKED )THEN
2104 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, RALPHA, INCX
2105 END IF
2106 *
2107 130 CONTINUE
2108 RETURN
2109 *
2110 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
2111 $ 'S)' )
2112 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
2113 $ 'ANGED INCORRECTLY *******' )
2114 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
2115 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
2116 $ ' - SUSPECT *******' )
2117 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
2118 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
2119 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
2120 $ I2, ', AP) .' )
2121 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
2122 $ I2, ', A,', I3, ') .' )
2123 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
2124 $ '******' )
2125 *
2126 * End of CZHK5.
2127 *
2128 END
2129 SUBROUTINE ZCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
2130 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
2131 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
2132 $ Z, IORDER )
2133 *
2134 * Tests ZHER2 and ZHPR2.
2135 *
2136 * Auxiliary routine for test program for Level 2 Blas.
2137 *
2138 * -- Written on 10-August-1987.
2139 * Richard Hanson, Sandia National Labs.
2140 * Jeremy Du Croz, NAG Central Office.
2141 *
2142 * .. Parameters ..
2143 COMPLEX*16 ZERO, HALF, ONE
2144 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
2145 $ HALF = ( 0.5D0, 0.0D0 ),
2146 $ ONE = ( 1.0D0, 0.0D0 ) )
2147 DOUBLE PRECISION RZERO
2148 PARAMETER ( RZERO = 0.0D0 )
2149 * .. Scalar Arguments ..
2150 DOUBLE PRECISION EPS, THRESH
2151 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
2152 $ IORDER
2153 LOGICAL FATAL, REWI, TRACE
2154 CHARACTER*12 SNAME
2155 * .. Array Arguments ..
2156 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
2157 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
2158 $ XX( NMAX*INCMAX ), Y( NMAX ),
2159 $ YS( NMAX*INCMAX ), YT( NMAX ),
2160 $ YY( NMAX*INCMAX ), Z( NMAX, 2 )
2161 DOUBLE PRECISION G( NMAX )
2162 INTEGER IDIM( NIDIM ), INC( NINC )
2163 * .. Local Scalars ..
2164 COMPLEX*16 ALPHA, ALS, TRANSL
2165 DOUBLE PRECISION ERR, ERRMAX
2166 INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX,
2167 $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
2168 $ NARGS, NC, NS
2169 LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
2170 CHARACTER*1 UPLO, UPLOS
2171 CHARACTER*14 CUPLO
2172 CHARACTER*2 ICH
2173 * .. Local Arrays ..
2174 COMPLEX*16 W( 2 )
2175 LOGICAL ISAME( 13 )
2176 * .. External Functions ..
2177 LOGICAL LZE, LZERES
2178 EXTERNAL LZE, LZERES
2179 * .. External Subroutines ..
2180 EXTERNAL CZHER2, CZHPR2, ZMAKE, ZMVCH
2181 * .. Intrinsic Functions ..
2182 INTRINSIC ABS, DCONJG, MAX
2183 * .. Scalars in Common ..
2184 INTEGER INFOT, NOUTC
2185 LOGICAL OK
2186 * .. Common blocks ..
2187 COMMON /INFOC/INFOT, NOUTC, OK
2188 * .. Data statements ..
2189 DATA ICH/'UL'/
2190 * .. Executable Statements ..
2191 FULL = SNAME( 9: 9 ).EQ.'e'
2192 PACKED = SNAME( 9: 9 ).EQ.'p'
2193 * Define the number of arguments.
2194 IF( FULL )THEN
2195 NARGS = 9
2196 ELSE IF( PACKED )THEN
2197 NARGS = 8
2198 END IF
2199 *
2200 NC = 0
2201 RESET = .TRUE.
2202 ERRMAX = RZERO
2203 *
2204 DO 140 IN = 1, NIDIM
2205 N = IDIM( IN )
2206 * Set LDA to 1 more than minimum value if room.
2207 LDA = N
2208 IF( LDA.LT.NMAX )
2209 $ LDA = LDA + 1
2210 * Skip tests if not enough room.
2211 IF( LDA.GT.NMAX )
2212 $ GO TO 140
2213 IF( PACKED )THEN
2214 LAA = ( N*( N + 1 ) )/2
2215 ELSE
2216 LAA = LDA*N
2217 END IF
2218 *
2219 DO 130 IC = 1, 2
2220 UPLO = ICH( IC: IC )
2221 IF (UPLO.EQ.'U')THEN
2222 CUPLO = ' CblasUpper'
2223 ELSE
2224 CUPLO = ' CblasLower'
2225 END IF
2226 UPPER = UPLO.EQ.'U'
2227 *
2228 DO 120 IX = 1, NINC
2229 INCX = INC( IX )
2230 LX = ABS( INCX )*N
2231 *
2232 * Generate the vector X.
2233 *
2234 TRANSL = HALF
2235 CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
2236 $ 0, N - 1, RESET, TRANSL )
2237 IF( N.GT.1 )THEN
2238 X( N/2 ) = ZERO
2239 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
2240 END IF
2241 *
2242 DO 110 IY = 1, NINC
2243 INCY = INC( IY )
2244 LY = ABS( INCY )*N
2245 *
2246 * Generate the vector Y.
2247 *
2248 TRANSL = ZERO
2249 CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
2250 $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
2251 IF( N.GT.1 )THEN
2252 Y( N/2 ) = ZERO
2253 YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
2254 END IF
2255 *
2256 DO 100 IA = 1, NALF
2257 ALPHA = ALF( IA )
2258 NULL = N.LE.0.OR.ALPHA.EQ.ZERO
2259 *
2260 * Generate the matrix A.
2261 *
2262 TRANSL = ZERO
2263 CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
2264 $ NMAX, AA, LDA, N - 1, N - 1, RESET,
2265 $ TRANSL )
2266 *
2267 NC = NC + 1
2268 *
2269 * Save every datum before calling the subroutine.
2270 *
2271 UPLOS = UPLO
2272 NS = N
2273 ALS = ALPHA
2274 DO 10 I = 1, LAA
2275 AS( I ) = AA( I )
2276 10 CONTINUE
2277 LDAS = LDA
2278 DO 20 I = 1, LX
2279 XS( I ) = XX( I )
2280 20 CONTINUE
2281 INCXS = INCX
2282 DO 30 I = 1, LY
2283 YS( I ) = YY( I )
2284 30 CONTINUE
2285 INCYS = INCY
2286 *
2287 * Call the subroutine.
2288 *
2289 IF( FULL )THEN
2290 IF( TRACE )
2291 $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
2292 $ ALPHA, INCX, INCY, LDA
2293 IF( REWI )
2294 $ REWIND NTRA
2295 CALL CZHER2( IORDER, UPLO, N, ALPHA, XX, INCX,
2296 $ YY, INCY, AA, LDA )
2297 ELSE IF( PACKED )THEN
2298 IF( TRACE )
2299 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
2300 $ ALPHA, INCX, INCY
2301 IF( REWI )
2302 $ REWIND NTRA
2303 CALL CZHPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
2304 $ YY, INCY, AA )
2305 END IF
2306 *
2307 * Check if error-exit was taken incorrectly.
2308 *
2309 IF( .NOT.OK )THEN
2310 WRITE( NOUT, FMT = 9992 )
2311 FATAL = .TRUE.
2312 GO TO 160
2313 END IF
2314 *
2315 * See what data changed inside subroutines.
2316 *
2317 ISAME( 1 ) = UPLO.EQ.UPLOS
2318 ISAME( 2 ) = NS.EQ.N
2319 ISAME( 3 ) = ALS.EQ.ALPHA
2320 ISAME( 4 ) = LZE( XS, XX, LX )
2321 ISAME( 5 ) = INCXS.EQ.INCX
2322 ISAME( 6 ) = LZE( YS, YY, LY )
2323 ISAME( 7 ) = INCYS.EQ.INCY
2324 IF( NULL )THEN
2325 ISAME( 8 ) = LZE( AS, AA, LAA )
2326 ELSE
2327 ISAME( 8 ) = LZERES( SNAME( 8: 9 ), UPLO, N, N,
2328 $ AS, AA, LDA )
2329 END IF
2330 IF( .NOT.PACKED )THEN
2331 ISAME( 9 ) = LDAS.EQ.LDA
2332 END IF
2333 *
2334 * If data was incorrectly changed, report and return.
2335 *
2336 SAME = .TRUE.
2337 DO 40 I = 1, NARGS
2338 SAME = SAME.AND.ISAME( I )
2339 IF( .NOT.ISAME( I ) )
2340 $ WRITE( NOUT, FMT = 9998 )I
2341 40 CONTINUE
2342 IF( .NOT.SAME )THEN
2343 FATAL = .TRUE.
2344 GO TO 160
2345 END IF
2346 *
2347 IF( .NOT.NULL )THEN
2348 *
2349 * Check the result column by column.
2350 *
2351 IF( INCX.GT.0 )THEN
2352 DO 50 I = 1, N
2353 Z( I, 1 ) = X( I )
2354 50 CONTINUE
2355 ELSE
2356 DO 60 I = 1, N
2357 Z( I, 1 ) = X( N - I + 1 )
2358 60 CONTINUE
2359 END IF
2360 IF( INCY.GT.0 )THEN
2361 DO 70 I = 1, N
2362 Z( I, 2 ) = Y( I )
2363 70 CONTINUE
2364 ELSE
2365 DO 80 I = 1, N
2366 Z( I, 2 ) = Y( N - I + 1 )
2367 80 CONTINUE
2368 END IF
2369 JA = 1
2370 DO 90 J = 1, N
2371 W( 1 ) = ALPHA*DCONJG( Z( J, 2 ) )
2372 W( 2 ) = DCONJG( ALPHA )*DCONJG( Z( J, 1 ) )
2373 IF( UPPER )THEN
2374 JJ = 1
2375 LJ = J
2376 ELSE
2377 JJ = J
2378 LJ = N - J + 1
2379 END IF
2380 CALL ZMVCH( 'N', LJ, 2, ONE, Z( JJ, 1 ),
2381 $ NMAX, W, 1, ONE, A( JJ, J ), 1,
2382 $ YT, G, AA( JA ), EPS, ERR, FATAL,
2383 $ NOUT, .TRUE. )
2384 IF( FULL )THEN
2385 IF( UPPER )THEN
2386 JA = JA + LDA
2387 ELSE
2388 JA = JA + LDA + 1
2389 END IF
2390 ELSE
2391 JA = JA + LJ
2392 END IF
2393 ERRMAX = MAX( ERRMAX, ERR )
2394 * If got really bad answer, report and return.
2395 IF( FATAL )
2396 $ GO TO 150
2397 90 CONTINUE
2398 ELSE
2399 * Avoid repeating tests with N.le.0.
2400 IF( N.LE.0 )
2401 $ GO TO 140
2402 END IF
2403 *
2404 100 CONTINUE
2405 *
2406 110 CONTINUE
2407 *
2408 120 CONTINUE
2409 *
2410 130 CONTINUE
2411 *
2412 140 CONTINUE
2413 *
2414 * Report result.
2415 *
2416 IF( ERRMAX.LT.THRESH )THEN
2417 WRITE( NOUT, FMT = 9999 )SNAME, NC
2418 ELSE
2419 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2420 END IF
2421 GO TO 170
2422 *
2423 150 CONTINUE
2424 WRITE( NOUT, FMT = 9995 )J
2425 *
2426 160 CONTINUE
2427 WRITE( NOUT, FMT = 9996 )SNAME
2428 IF( FULL )THEN
2429 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
2430 $ INCY, LDA
2431 ELSE IF( PACKED )THEN
2432 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
2433 END IF
2434 *
2435 170 CONTINUE
2436 RETURN
2437 *
2438 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
2439 $ 'S)' )
2440 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
2441 $ 'ANGED INCORRECTLY *******' )
2442 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
2443 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
2444 $ ' - SUSPECT *******' )
2445 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
2446 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
2447 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
2448 $ F4.1, '), X,', I2, ', Y,', I2, ', AP) .' )
2449 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
2450 $ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
2451 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
2452 $ '******' )
2453 *
2454 * End of ZCHK6.
2455 *
2456 END
2457 SUBROUTINE ZMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
2458 $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
2459 *
2460 * Checks the results of the computational tests.
2461 *
2462 * Auxiliary routine for test program for Level 2 Blas.
2463 *
2464 * -- Written on 10-August-1987.
2465 * Richard Hanson, Sandia National Labs.
2466 * Jeremy Du Croz, NAG Central Office.
2467 *
2468 * .. Parameters ..
2469 COMPLEX*16 ZERO
2470 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
2471 DOUBLE PRECISION RZERO, RONE
2472 PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
2473 * .. Scalar Arguments ..
2474 COMPLEX*16 ALPHA, BETA
2475 DOUBLE PRECISION EPS, ERR
2476 INTEGER INCX, INCY, M, N, NMAX, NOUT
2477 LOGICAL FATAL, MV
2478 CHARACTER*1 TRANS
2479 * .. Array Arguments ..
2480 COMPLEX*16 A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
2481 DOUBLE PRECISION G( * )
2482 * .. Local Scalars ..
2483 COMPLEX*16 C
2484 DOUBLE PRECISION ERRI
2485 INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
2486 LOGICAL CTRAN, TRAN
2487 * .. Intrinsic Functions ..
2488 INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT
2489 * .. Statement Functions ..
2490 DOUBLE PRECISION ABS1
2491 * .. Statement Function definitions ..
2492 ABS1( C ) = ABS( DBLE( C ) ) + ABS( DIMAG( C ) )
2493 * .. Executable Statements ..
2494 TRAN = TRANS.EQ.'T'
2495 CTRAN = TRANS.EQ.'C'
2496 IF( TRAN.OR.CTRAN )THEN
2497 ML = N
2498 NL = M
2499 ELSE
2500 ML = M
2501 NL = N
2502 END IF
2503 IF( INCX.LT.0 )THEN
2504 KX = NL
2505 INCXL = -1
2506 ELSE
2507 KX = 1
2508 INCXL = 1
2509 END IF
2510 IF( INCY.LT.0 )THEN
2511 KY = ML
2512 INCYL = -1
2513 ELSE
2514 KY = 1
2515 INCYL = 1
2516 END IF
2517 *
2518 * Compute expected result in YT using data in A, X and Y.
2519 * Compute gauges in G.
2520 *
2521 IY = KY
2522 DO 40 I = 1, ML
2523 YT( IY ) = ZERO
2524 G( IY ) = RZERO
2525 JX = KX
2526 IF( TRAN )THEN
2527 DO 10 J = 1, NL
2528 YT( IY ) = YT( IY ) + A( J, I )*X( JX )
2529 G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2530 JX = JX + INCXL
2531 10 CONTINUE
2532 ELSE IF( CTRAN )THEN
2533 DO 20 J = 1, NL
2534 YT( IY ) = YT( IY ) + DCONJG( A( J, I ) )*X( JX )
2535 G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2536 JX = JX + INCXL
2537 20 CONTINUE
2538 ELSE
2539 DO 30 J = 1, NL
2540 YT( IY ) = YT( IY ) + A( I, J )*X( JX )
2541 G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
2542 JX = JX + INCXL
2543 30 CONTINUE
2544 END IF
2545 YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
2546 G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) )
2547 IY = IY + INCYL
2548 40 CONTINUE
2549 *
2550 * Compute the error ratio for this result.
2551 *
2552 ERR = ZERO
2553 DO 50 I = 1, ML
2554 ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
2555 IF( G( I ).NE.RZERO )
2556 $ ERRI = ERRI/G( I )
2557 ERR = MAX( ERR, ERRI )
2558 IF( ERR*SQRT( EPS ).GE.RONE )
2559 $ GO TO 60
2560 50 CONTINUE
2561 * If the loop completes, all results are at least half accurate.
2562 GO TO 80
2563 *
2564 * Report fatal error.
2565 *
2566 60 FATAL = .TRUE.
2567 WRITE( NOUT, FMT = 9999 )
2568 DO 70 I = 1, ML
2569 IF( MV )THEN
2570 WRITE( NOUT, FMT = 9998 )I, YT( I ),
2571 $ YY( 1 + ( I - 1 )*ABS( INCY ) )
2572 ELSE
2573 WRITE( NOUT, FMT = 9998 )I,
2574 $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I )
2575 END IF
2576 70 CONTINUE
2577 *
2578 80 CONTINUE
2579 RETURN
2580 *
2581 9999 FORMAT(' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
2582 $ 'F ACCURATE *******', /' EXPECTED RE',
2583 $ 'SULT COMPUTED RESULT' )
2584 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
2585 *
2586 * End of ZMVCH.
2587 *
2588 END
2589 LOGICAL FUNCTION LZE( RI, RJ, LR )
2590 *
2591 * Tests if two arrays are identical.
2592 *
2593 * Auxiliary routine for test program for Level 2 Blas.
2594 *
2595 * -- Written on 10-August-1987.
2596 * Richard Hanson, Sandia National Labs.
2597 * Jeremy Du Croz, NAG Central Office.
2598 *
2599 * .. Scalar Arguments ..
2600 INTEGER LR
2601 * .. Array Arguments ..
2602 COMPLEX*16 RI( * ), RJ( * )
2603 * .. Local Scalars ..
2604 INTEGER I
2605 * .. Executable Statements ..
2606 DO 10 I = 1, LR
2607 IF( RI( I ).NE.RJ( I ) )
2608 $ GO TO 20
2609 10 CONTINUE
2610 LZE = .TRUE.
2611 GO TO 30
2612 20 CONTINUE
2613 LZE = .FALSE.
2614 30 RETURN
2615 *
2616 * End of LZE.
2617 *
2618 END
2619 LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
2620 *
2621 * Tests if selected elements in two arrays are equal.
2622 *
2623 * TYPE is 'ge', 'he' or 'hp'.
2624 *
2625 * Auxiliary routine for test program for Level 2 Blas.
2626 *
2627 * -- Written on 10-August-1987.
2628 * Richard Hanson, Sandia National Labs.
2629 * Jeremy Du Croz, NAG Central Office.
2630 *
2631 * .. Scalar Arguments ..
2632 INTEGER LDA, M, N
2633 CHARACTER*1 UPLO
2634 CHARACTER*2 TYPE
2635 * .. Array Arguments ..
2636 COMPLEX*16 AA( LDA, * ), AS( LDA, * )
2637 * .. Local Scalars ..
2638 INTEGER I, IBEG, IEND, J
2639 LOGICAL UPPER
2640 * .. Executable Statements ..
2641 UPPER = UPLO.EQ.'U'
2642 IF( TYPE.EQ.'ge' )THEN
2643 DO 20 J = 1, N
2644 DO 10 I = M + 1, LDA
2645 IF( AA( I, J ).NE.AS( I, J ) )
2646 $ GO TO 70
2647 10 CONTINUE
2648 20 CONTINUE
2649 ELSE IF( TYPE.EQ.'he' )THEN
2650 DO 50 J = 1, N
2651 IF( UPPER )THEN
2652 IBEG = 1
2653 IEND = J
2654 ELSE
2655 IBEG = J
2656 IEND = N
2657 END IF
2658 DO 30 I = 1, IBEG - 1
2659 IF( AA( I, J ).NE.AS( I, J ) )
2660 $ GO TO 70
2661 30 CONTINUE
2662 DO 40 I = IEND + 1, LDA
2663 IF( AA( I, J ).NE.AS( I, J ) )
2664 $ GO TO 70
2665 40 CONTINUE
2666 50 CONTINUE
2667 END IF
2668 *
2669 60 CONTINUE
2670 LZERES = .TRUE.
2671 GO TO 80
2672 70 CONTINUE
2673 LZERES = .FALSE.
2674 80 RETURN
2675 *
2676 * End of LZERES.
2677 *
2678 END
2679 COMPLEX*16 FUNCTION ZBEG( RESET )
2680 *
2681 * Generates complex numbers as pairs of random numbers uniformly
2682 * distributed between -0.5 and 0.5.
2683 *
2684 * Auxiliary routine for test program for Level 2 Blas.
2685 *
2686 * -- Written on 10-August-1987.
2687 * Richard Hanson, Sandia National Labs.
2688 * Jeremy Du Croz, NAG Central Office.
2689 *
2690 * .. Scalar Arguments ..
2691 LOGICAL RESET
2692 * .. Local Scalars ..
2693 INTEGER I, IC, J, MI, MJ
2694 * .. Save statement ..
2695 SAVE I, IC, J, MI, MJ
2696 * .. Intrinsic Functions ..
2697 INTRINSIC DCMPLX
2698 * .. Executable Statements ..
2699 IF( RESET )THEN
2700 * Initialize local variables.
2701 MI = 891
2702 MJ = 457
2703 I = 7
2704 J = 7
2705 IC = 0
2706 RESET = .FALSE.
2707 END IF
2708 *
2709 * The sequence of values of I or J is bounded between 1 and 999.
2710 * If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
2711 * If initial I or J = 4 or 8, the period will be 25.
2712 * If initial I or J = 5, the period will be 10.
2713 * IC is used to break up the period by skipping 1 value of I or J
2714 * in 6.
2715 *
2716 IC = IC + 1
2717 10 I = I*MI
2718 J = J*MJ
2719 I = I - 1000*( I/1000 )
2720 J = J - 1000*( J/1000 )
2721 IF( IC.GE.5 )THEN
2722 IC = 0
2723 GO TO 10
2724 END IF
2725 ZBEG = DCMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
2726 RETURN
2727 *
2728 * End of ZBEG.
2729 *
2730 END
2731 DOUBLE PRECISION FUNCTION DDIFF( X, Y )
2732 *
2733 * Auxiliary routine for test program for Level 2 Blas.
2734 *
2735 * -- Written on 10-August-1987.
2736 * Richard Hanson, Sandia National Labs.
2737 *
2738 * .. Scalar Arguments ..
2739 DOUBLE PRECISION X, Y
2740 * .. Executable Statements ..
2741 DDIFF = X - Y
2742 RETURN
2743 *
2744 * End of DDIFF.
2745 *
2746 END
2747 SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
2748 $ KU, RESET, TRANSL )
2749 *
2750 * Generates values for an M by N matrix A within the bandwidth
2751 * defined by KL and KU.
2752 * Stores the values in the array AA in the data structure required
2753 * by the routine, with unwanted elements set to rogue value.
2754 *
2755 * TYPE is 'ge', 'gb', 'he', 'hb', 'hp', 'tr', 'tb' OR 'tp'.
2756 *
2757 * Auxiliary routine for test program for Level 2 Blas.
2758 *
2759 * -- Written on 10-August-1987.
2760 * Richard Hanson, Sandia National Labs.
2761 * Jeremy Du Croz, NAG Central Office.
2762 *
2763 * .. Parameters ..
2764 COMPLEX*16 ZERO, ONE
2765 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
2766 $ ONE = ( 1.0D0, 0.0D0 ) )
2767 COMPLEX*16 ROGUE
2768 PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
2769 DOUBLE PRECISION RZERO
2770 PARAMETER ( RZERO = 0.0D0 )
2771 DOUBLE PRECISION RROGUE
2772 PARAMETER ( RROGUE = -1.0D10 )
2773 * .. Scalar Arguments ..
2774 COMPLEX*16 TRANSL
2775 INTEGER KL, KU, LDA, M, N, NMAX
2776 LOGICAL RESET
2777 CHARACTER*1 DIAG, UPLO
2778 CHARACTER*2 TYPE
2779 * .. Array Arguments ..
2780 COMPLEX*16 A( NMAX, * ), AA( * )
2781 * .. Local Scalars ..
2782 INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK
2783 LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
2784 * .. External Functions ..
2785 COMPLEX*16 ZBEG
2786 EXTERNAL ZBEG
2787 * .. Intrinsic Functions ..
2788 INTRINSIC DCMPLX, DCONJG, MAX, MIN, DBLE
2789 * .. Executable Statements ..
2790 GEN = TYPE( 1: 1 ).EQ.'g'
2791 SYM = TYPE( 1: 1 ).EQ.'h'
2792 TRI = TYPE( 1: 1 ).EQ.'t'
2793 UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
2794 LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
2795 UNIT = TRI.AND.DIAG.EQ.'U'
2796 *
2797 * Generate data in array A.
2798 *
2799 DO 20 J = 1, N
2800 DO 10 I = 1, M
2801 IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
2802 $ THEN
2803 IF( ( I.LE.J.AND.J - I.LE.KU ).OR.
2804 $ ( I.GE.J.AND.I - J.LE.KL ) )THEN
2805 A( I, J ) = ZBEG( RESET ) + TRANSL
2806 ELSE
2807 A( I, J ) = ZERO
2808 END IF
2809 IF( I.NE.J )THEN
2810 IF( SYM )THEN
2811 A( J, I ) = DCONJG( A( I, J ) )
2812 ELSE IF( TRI )THEN
2813 A( J, I ) = ZERO
2814 END IF
2815 END IF
2816 END IF
2817 10 CONTINUE
2818 IF( SYM )
2819 $ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
2820 IF( TRI )
2821 $ A( J, J ) = A( J, J ) + ONE
2822 IF( UNIT )
2823 $ A( J, J ) = ONE
2824 20 CONTINUE
2825 *
2826 * Store elements in array AS in data structure required by routine.
2827 *
2828 IF( TYPE.EQ.'ge' )THEN
2829 DO 50 J = 1, N
2830 DO 30 I = 1, M
2831 AA( I + ( J - 1 )*LDA ) = A( I, J )
2832 30 CONTINUE
2833 DO 40 I = M + 1, LDA
2834 AA( I + ( J - 1 )*LDA ) = ROGUE
2835 40 CONTINUE
2836 50 CONTINUE
2837 ELSE IF( TYPE.EQ.'gb' )THEN
2838 DO 90 J = 1, N
2839 DO 60 I1 = 1, KU + 1 - J
2840 AA( I1 + ( J - 1 )*LDA ) = ROGUE
2841 60 CONTINUE
2842 DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
2843 AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J )
2844 70 CONTINUE
2845 DO 80 I3 = I2, LDA
2846 AA( I3 + ( J - 1 )*LDA ) = ROGUE
2847 80 CONTINUE
2848 90 CONTINUE
2849 ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'tr' )THEN
2850 DO 130 J = 1, N
2851 IF( UPPER )THEN
2852 IBEG = 1
2853 IF( UNIT )THEN
2854 IEND = J - 1
2855 ELSE
2856 IEND = J
2857 END IF
2858 ELSE
2859 IF( UNIT )THEN
2860 IBEG = J + 1
2861 ELSE
2862 IBEG = J
2863 END IF
2864 IEND = N
2865 END IF
2866 DO 100 I = 1, IBEG - 1
2867 AA( I + ( J - 1 )*LDA ) = ROGUE
2868 100 CONTINUE
2869 DO 110 I = IBEG, IEND
2870 AA( I + ( J - 1 )*LDA ) = A( I, J )
2871 110 CONTINUE
2872 DO 120 I = IEND + 1, LDA
2873 AA( I + ( J - 1 )*LDA ) = ROGUE
2874 120 CONTINUE
2875 IF( SYM )THEN
2876 JJ = J + ( J - 1 )*LDA
2877 AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
2878 END IF
2879 130 CONTINUE
2880 ELSE IF( TYPE.EQ.'hb'.OR.TYPE.EQ.'tb' )THEN
2881 DO 170 J = 1, N
2882 IF( UPPER )THEN
2883 KK = KL + 1
2884 IBEG = MAX( 1, KL + 2 - J )
2885 IF( UNIT )THEN
2886 IEND = KL
2887 ELSE
2888 IEND = KL + 1
2889 END IF
2890 ELSE
2891 KK = 1
2892 IF( UNIT )THEN
2893 IBEG = 2
2894 ELSE
2895 IBEG = 1
2896 END IF
2897 IEND = MIN( KL + 1, 1 + M - J )
2898 END IF
2899 DO 140 I = 1, IBEG - 1
2900 AA( I + ( J - 1 )*LDA ) = ROGUE
2901 140 CONTINUE
2902 DO 150 I = IBEG, IEND
2903 AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
2904 150 CONTINUE
2905 DO 160 I = IEND + 1, LDA
2906 AA( I + ( J - 1 )*LDA ) = ROGUE
2907 160 CONTINUE
2908 IF( SYM )THEN
2909 JJ = KK + ( J - 1 )*LDA
2910 AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
2911 END IF
2912 170 CONTINUE
2913 ELSE IF( TYPE.EQ.'hp'.OR.TYPE.EQ.'tp' )THEN
2914 IOFF = 0
2915 DO 190 J = 1, N
2916 IF( UPPER )THEN
2917 IBEG = 1
2918 IEND = J
2919 ELSE
2920 IBEG = J
2921 IEND = N
2922 END IF
2923 DO 180 I = IBEG, IEND
2924 IOFF = IOFF + 1
2925 AA( IOFF ) = A( I, J )
2926 IF( I.EQ.J )THEN
2927 IF( UNIT )
2928 $ AA( IOFF ) = ROGUE
2929 IF( SYM )
2930 $ AA( IOFF ) = DCMPLX( DBLE( AA( IOFF ) ), RROGUE )
2931 END IF
2932 180 CONTINUE
2933 190 CONTINUE
2934 END IF
2935 RETURN
2936 *
2937 * End of ZMAKE.
2938 *
2939 END
2 *
3 * Test program for the COMPLEX*16 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_zgemv T PUT F FOR NO TEST. SAME COLUMNS.
28 * cblas_zgbmv T PUT F FOR NO TEST. SAME COLUMNS.
29 * cblas_zhemv T PUT F FOR NO TEST. SAME COLUMNS.
30 * cblas_zhbmv T PUT F FOR NO TEST. SAME COLUMNS.
31 * cblas_zhpmv T PUT F FOR NO TEST. SAME COLUMNS.
32 * cblas_ztrmv T PUT F FOR NO TEST. SAME COLUMNS.
33 * cblas_ztbmv T PUT F FOR NO TEST. SAME COLUMNS.
34 * cblas_ztpmv T PUT F FOR NO TEST. SAME COLUMNS.
35 * cblas_ztrsv T PUT F FOR NO TEST. SAME COLUMNS.
36 * cblas_ztbsv T PUT F FOR NO TEST. SAME COLUMNS.
37 * cblas_ztpsv T PUT F FOR NO TEST. SAME COLUMNS.
38 * cblas_zgerc T PUT F FOR NO TEST. SAME COLUMNS.
39 * cblas_zgeru T PUT F FOR NO TEST. SAME COLUMNS.
40 * cblas_zher T PUT F FOR NO TEST. SAME COLUMNS.
41 * cblas_zhpr T PUT F FOR NO TEST. SAME COLUMNS.
42 * cblas_zher2 T PUT F FOR NO TEST. SAME COLUMNS.
43 * cblas_zhpr2 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*16 ZERO, ONE
72 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
73 $ ONE = ( 1.0D0, 0.0D0 ) )
74 DOUBLE PRECISION RZERO, RHALF, RONE
75 PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 1.0D0 )
76 INTEGER NMAX, INCMAX
77 PARAMETER ( NMAX = 65, INCMAX = 2 )
78 INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
79 PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
80 $ NALMAX = 7, NBEMAX = 7 )
81 * .. Local Scalars ..
82 DOUBLE PRECISION EPS, ERR, THRESH
83 INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
84 $ NTRA, LAYOUT
85 LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
86 $ TSTERR, CORDER, RORDER
87 CHARACTER*1 TRANS
88 CHARACTER*12 SNAMET
89 CHARACTER*32 SNAPS
90 * .. Local Arrays ..
91 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
92 $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
93 $ X( NMAX ), XS( NMAX*INCMAX ),
94 $ XX( NMAX*INCMAX ), Y( NMAX ),
95 $ YS( NMAX*INCMAX ), YT( NMAX ),
96 $ YY( NMAX*INCMAX ), Z( 2*NMAX )
97 DOUBLE PRECISION G( NMAX )
98 INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
99 LOGICAL LTEST( NSUBS )
100 CHARACTER*12 SNAMES( NSUBS )
101 * .. External Functions ..
102 DOUBLE PRECISION DDIFF
103 LOGICAL LZE
104 EXTERNAL DDIFF, LZE
105 * .. External Subroutines ..
106 EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHK6,
107 $ CZ2CHKE, ZMVCH
108 * .. Intrinsic Functions ..
109 INTRINSIC ABS, MAX, MIN
110 * .. Scalars in Common ..
111 INTEGER INFOT, NOUTC
112 LOGICAL OK
113 CHARACTER*12 SRNAMT
114 * .. Common blocks ..
115 COMMON /INFOC/INFOT, NOUTC, OK
116 COMMON /SRNAMC/SRNAMT
117 * .. Data statements ..
118 DATA SNAMES/'cblas_zgemv ', 'cblas_zgbmv ',
119 $ 'cblas_zhemv ','cblas_zhbmv ','cblas_zhpmv ',
120 $ 'cblas_ztrmv ','cblas_ztbmv ','cblas_ztpmv ',
121 $ 'cblas_ztrsv ','cblas_ztbsv ','cblas_ztpsv ',
122 $ 'cblas_zgerc ','cblas_zgeru ','cblas_zher ',
123 $ 'cblas_zhpr ','cblas_zher2 ','cblas_zhpr2 '/
124 * .. Executable Statements ..
125 *
126 NOUTC = NOUT
127 *
128 * Read name and unit number for summary output file and open file.
129 *
130 READ( NIN, FMT = * )SNAPS
131 READ( NIN, FMT = * )NTRA
132 TRACE = NTRA.GE.0
133 IF( TRACE )THEN
134 OPEN( NTRA, FILE = SNAPS )
135 END IF
136 * Read the flag that directs rewinding of the snapshot file.
137 READ( NIN, FMT = * )REWI
138 REWI = REWI.AND.TRACE
139 * Read the flag that directs stopping on any failure.
140 READ( NIN, FMT = * )SFATAL
141 * Read the flag that indicates whether error exits are to be tested.
142 READ( NIN, FMT = * )TSTERR
143 * Read the flag that indicates whether row-major data layout to be tested.
144 READ( NIN, FMT = * )LAYOUT
145 * Read the threshold value of the test ratio
146 READ( NIN, FMT = * )THRESH
147 *
148 * Read and check the parameter values for the tests.
149 *
150 * Values of N
151 READ( NIN, FMT = * )NIDIM
152 IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
153 WRITE( NOUT, FMT = 9997 )'N', NIDMAX
154 GO TO 230
155 END IF
156 READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
157 DO 10 I = 1, NIDIM
158 IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
159 WRITE( NOUT, FMT = 9996 )NMAX
160 GO TO 230
161 END IF
162 10 CONTINUE
163 * Values of K
164 READ( NIN, FMT = * )NKB
165 IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
166 WRITE( NOUT, FMT = 9997 )'K', NKBMAX
167 GO TO 230
168 END IF
169 READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
170 DO 20 I = 1, NKB
171 IF( KB( I ).LT.0 )THEN
172 WRITE( NOUT, FMT = 9995 )
173 GO TO 230
174 END IF
175 20 CONTINUE
176 * Values of INCX and INCY
177 READ( NIN, FMT = * )NINC
178 IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN
179 WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX
180 GO TO 230
181 END IF
182 READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
183 DO 30 I = 1, NINC
184 IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
185 WRITE( NOUT, FMT = 9994 )INCMAX
186 GO TO 230
187 END IF
188 30 CONTINUE
189 * Values of ALPHA
190 READ( NIN, FMT = * )NALF
191 IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
192 WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
193 GO TO 230
194 END IF
195 READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
196 * Values of BETA
197 READ( NIN, FMT = * )NBET
198 IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
199 WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
200 GO TO 230
201 END IF
202 READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
203 *
204 * Report values of parameters.
205 *
206 WRITE( NOUT, FMT = 9993 )
207 WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
208 WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB )
209 WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC )
210 WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF )
211 WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET )
212 IF( .NOT.TSTERR )THEN
213 WRITE( NOUT, FMT = * )
214 WRITE( NOUT, FMT = 9980 )
215 END IF
216 WRITE( NOUT, FMT = * )
217 WRITE( NOUT, FMT = 9999 )THRESH
218 WRITE( NOUT, FMT = * )
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( DDIFF( 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 ZMVCH 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 ZMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
282 $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
283 SAME = LZE( 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 ZMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
290 $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
291 SAME = LZE( 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 CZ2CHKE( 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 ZGEMV, 01, and ZGBMV, 02.
319 140 IF (CORDER) THEN
320 CALL ZCHK1( 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 ZCHK1( 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 ZHEMV, 03, ZHBMV, 04, and ZHPMV, 05.
333 150 IF (CORDER) THEN
334 CALL ZCHK2( 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 ZCHK2( 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 ZTRMV, 06, ZTBMV, 07, ZTPMV, 08,
347 * ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11.
348 160 IF (CORDER) THEN
349 CALL ZCHK3( 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 ZCHK3( 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 ZGERC, 12, ZGERU, 13.
362 170 IF (CORDER) THEN
363 CALL ZCHK4( 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 ZCHK4( 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 ZHER, 14, and ZHPR, 15.
376 180 IF (CORDER) THEN
377 CALL ZCHK5( 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 ZCHK5( 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 ZHER2, 16, and ZHPR2, 17.
390 190 IF (CORDER) THEN
391 CALL ZCHK6( 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 ZCHK6( 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*16 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 ZBLAT2.
460 *
461 END
462 SUBROUTINE ZCHK1( 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*16 ZERO, HALF
477 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
478 $ HALF = ( 0.5D0, 0.0D0 ) )
479 DOUBLE PRECISION RZERO
480 PARAMETER ( RZERO = 0.0D0 )
481 * .. Scalar Arguments ..
482 DOUBLE PRECISION EPS, THRESH
483 INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
484 $ NOUT, NTRA, IORDER
485 LOGICAL FATAL, REWI, TRACE
486 CHARACTER*12 SNAME
487 * .. Array Arguments ..
488 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
489 $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
490 $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
491 $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
492 $ YY( NMAX*INCMAX )
493 DOUBLE PRECISION G( NMAX )
494 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
495 * .. Local Scalars ..
496 COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
497 DOUBLE PRECISION ERR, ERRMAX
498 INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
499 $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
500 $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
501 $ NL, NS
502 LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
503 CHARACTER*1 TRANS, TRANSS
504 CHARACTER*14 CTRANS
505 CHARACTER*3 ICH
506 * .. Local Arrays ..
507 LOGICAL ISAME( 13 )
508 * .. External Functions ..
509 LOGICAL LZE, LZERES
510 EXTERNAL LZE, LZERES
511 * .. External Subroutines ..
512 EXTERNAL CZGBMV, CZGEMV, ZMAKE, ZMVCH
513 * .. Intrinsic Functions ..
514 INTRINSIC ABS, MAX, MIN
515 * .. Scalars in Common ..
516 INTEGER INFOT, NOUTC
517 LOGICAL OK
518 * .. Common blocks ..
519 COMMON /INFOC/INFOT, NOUTC, OK
520 * .. Data statements ..
521 DATA ICH/'NTC'/
522 * .. Executable Statements ..
523 FULL = SNAME( 9: 9 ).EQ.'e'
524 BANDED = SNAME( 9: 9 ).EQ.'b'
525 * Define the number of arguments.
526 IF( FULL )THEN
527 NARGS = 11
528 ELSE IF( BANDED )THEN
529 NARGS = 13
530 END IF
531 *
532 NC = 0
533 RESET = .TRUE.
534 ERRMAX = RZERO
535 *
536 DO 120 IN = 1, NIDIM
537 N = IDIM( IN )
538 ND = N/2 + 1
539 *
540 DO 110 IM = 1, 2
541 IF( IM.EQ.1 )
542 $ M = MAX( N - ND, 0 )
543 IF( IM.EQ.2 )
544 $ M = MIN( N + ND, NMAX )
545 *
546 IF( BANDED )THEN
547 NK = NKB
548 ELSE
549 NK = 1
550 END IF
551 DO 100 IKU = 1, NK
552 IF( BANDED )THEN
553 KU = KB( IKU )
554 KL = MAX( KU - 1, 0 )
555 ELSE
556 KU = N - 1
557 KL = M - 1
558 END IF
559 * Set LDA to 1 more than minimum value if room.
560 IF( BANDED )THEN
561 LDA = KL + KU + 1
562 ELSE
563 LDA = M
564 END IF
565 IF( LDA.LT.NMAX )
566 $ LDA = LDA + 1
567 * Skip tests if not enough room.
568 IF( LDA.GT.NMAX )
569 $ GO TO 100
570 LAA = LDA*N
571 NULL = N.LE.0.OR.M.LE.0
572 *
573 * Generate the matrix A.
574 *
575 TRANSL = ZERO
576 CALL ZMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
577 $ LDA, KL, KU, RESET, TRANSL )
578 *
579 DO 90 IC = 1, 3
580 TRANS = ICH( IC: IC )
581 IF (TRANS.EQ.'N')THEN
582 CTRANS = ' CblasNoTrans'
583 ELSE IF (TRANS.EQ.'T')THEN
584 CTRANS = ' CblasTrans'
585 ELSE
586 CTRANS = 'CblasConjTrans'
587 END IF
588 TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
589 *
590 IF( TRAN )THEN
591 ML = N
592 NL = M
593 ELSE
594 ML = M
595 NL = N
596 END IF
597 *
598 DO 80 IX = 1, NINC
599 INCX = INC( IX )
600 LX = ABS( INCX )*NL
601 *
602 * Generate the vector X.
603 *
604 TRANSL = HALF
605 CALL ZMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
606 $ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
607 IF( NL.GT.1 )THEN
608 X( NL/2 ) = ZERO
609 XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
610 END IF
611 *
612 DO 70 IY = 1, NINC
613 INCY = INC( IY )
614 LY = ABS( INCY )*ML
615 *
616 DO 60 IA = 1, NALF
617 ALPHA = ALF( IA )
618 *
619 DO 50 IB = 1, NBET
620 BETA = BET( IB )
621 *
622 * Generate the vector Y.
623 *
624 TRANSL = ZERO
625 CALL ZMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
626 $ YY, ABS( INCY ), 0, ML - 1,
627 $ RESET, TRANSL )
628 *
629 NC = NC + 1
630 *
631 * Save every datum before calling the
632 * subroutine.
633 *
634 TRANSS = TRANS
635 MS = M
636 NS = N
637 KLS = KL
638 KUS = KU
639 ALS = ALPHA
640 DO 10 I = 1, LAA
641 AS( I ) = AA( I )
642 10 CONTINUE
643 LDAS = LDA
644 DO 20 I = 1, LX
645 XS( I ) = XX( I )
646 20 CONTINUE
647 INCXS = INCX
648 BLS = BETA
649 DO 30 I = 1, LY
650 YS( I ) = YY( I )
651 30 CONTINUE
652 INCYS = INCY
653 *
654 * Call the subroutine.
655 *
656 IF( FULL )THEN
657 IF( TRACE )
658 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
659 $ CTRANS, M, N, ALPHA, LDA, INCX, BETA,
660 $ INCY
661 IF( REWI )
662 $ REWIND NTRA
663 CALL CZGEMV( IORDER, TRANS, M, N,
664 $ ALPHA, AA, LDA, XX, INCX,
665 $ BETA, YY, INCY )
666 ELSE IF( BANDED )THEN
667 IF( TRACE )
668 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
669 $ CTRANS, M, N, KL, KU, ALPHA, LDA,
670 $ INCX, BETA, INCY
671 IF( REWI )
672 $ REWIND NTRA
673 CALL CZGBMV( IORDER, TRANS, M, N, KL,
674 $ KU, ALPHA, AA, LDA, XX,
675 $ INCX, BETA, YY, INCY )
676 END IF
677 *
678 * Check if error-exit was taken incorrectly.
679 *
680 IF( .NOT.OK )THEN
681 WRITE( NOUT, FMT = 9993 )
682 FATAL = .TRUE.
683 GO TO 130
684 END IF
685 *
686 * See what data changed inside subroutines.
687 *
688 * IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN
689 ISAME( 1 ) = TRANS.EQ.TRANSS
690 ISAME( 2 ) = MS.EQ.M
691 ISAME( 3 ) = NS.EQ.N
692 IF( FULL )THEN
693 ISAME( 4 ) = ALS.EQ.ALPHA
694 ISAME( 5 ) = LZE( AS, AA, LAA )
695 ISAME( 6 ) = LDAS.EQ.LDA
696 ISAME( 7 ) = LZE( XS, XX, LX )
697 ISAME( 8 ) = INCXS.EQ.INCX
698 ISAME( 9 ) = BLS.EQ.BETA
699 IF( NULL )THEN
700 ISAME( 10 ) = LZE( YS, YY, LY )
701 ELSE
702 ISAME( 10 ) = LZERES( 'ge', ' ', 1,
703 $ ML, YS, YY,
704 $ ABS( INCY ) )
705 END IF
706 ISAME( 11 ) = INCYS.EQ.INCY
707 ELSE IF( BANDED )THEN
708 ISAME( 4 ) = KLS.EQ.KL
709 ISAME( 5 ) = KUS.EQ.KU
710 ISAME( 6 ) = ALS.EQ.ALPHA
711 ISAME( 7 ) = LZE( AS, AA, LAA )
712 ISAME( 8 ) = LDAS.EQ.LDA
713 ISAME( 9 ) = LZE( XS, XX, LX )
714 ISAME( 10 ) = INCXS.EQ.INCX
715 ISAME( 11 ) = BLS.EQ.BETA
716 IF( NULL )THEN
717 ISAME( 12 ) = LZE( YS, YY, LY )
718 ELSE
719 ISAME( 12 ) = LZERES( 'ge', ' ', 1,
720 $ ML, YS, YY,
721 $ ABS( INCY ) )
722 END IF
723 ISAME( 13 ) = INCYS.EQ.INCY
724 END IF
725 *
726 * If data was incorrectly changed, report
727 * and return.
728 *
729 SAME = .TRUE.
730 DO 40 I = 1, NARGS
731 SAME = SAME.AND.ISAME( I )
732 IF( .NOT.ISAME( I ) )
733 $ WRITE( NOUT, FMT = 9998 )I
734 40 CONTINUE
735 IF( .NOT.SAME )THEN
736 FATAL = .TRUE.
737 GO TO 130
738 END IF
739 *
740 IF( .NOT.NULL )THEN
741 *
742 * Check the result.
743 *
744 CALL ZMVCH( TRANS, M, N, ALPHA, A,
745 $ NMAX, X, INCX, BETA, Y,
746 $ INCY, YT, G, YY, EPS, ERR,
747 $ FATAL, NOUT, .TRUE. )
748 ERRMAX = MAX( ERRMAX, ERR )
749 * If got really bad answer, report and
750 * return.
751 IF( FATAL )
752 $ GO TO 130
753 ELSE
754 * Avoid repeating tests with M.le.0 or
755 * N.le.0.
756 GO TO 110
757 END IF
758 * END IF
759 *
760 50 CONTINUE
761 *
762 60 CONTINUE
763 *
764 70 CONTINUE
765 *
766 80 CONTINUE
767 *
768 90 CONTINUE
769 *
770 100 CONTINUE
771 *
772 110 CONTINUE
773 *
774 120 CONTINUE
775 *
776 * Report result.
777 *
778 IF( ERRMAX.LT.THRESH )THEN
779 WRITE( NOUT, FMT = 9999 )SNAME, NC
780 ELSE
781 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
782 END IF
783 GO TO 140
784 *
785 130 CONTINUE
786 WRITE( NOUT, FMT = 9996 )SNAME
787 IF( FULL )THEN
788 WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
789 $ INCX, BETA, INCY
790 ELSE IF( BANDED )THEN
791 WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
792 $ ALPHA, LDA, INCX, BETA, INCY
793 END IF
794 *
795 140 CONTINUE
796 RETURN
797 *
798 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
799 $ 'S)' )
800 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
801 $ 'ANGED INCORRECTLY *******' )
802 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
803 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
804 $ ' - SUSPECT *******' )
805 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
806 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), '(',
807 $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
808 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
809 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
810 $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
811 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
812 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
813 $ '******' )
814 *
815 * End of ZCHK1.
816 *
817 END
818 SUBROUTINE ZCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
819 $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
820 $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
821 $ XS, Y, YY, YS, YT, G, IORDER )
822 *
823 * Tests CHEMV, CHBMV and CHPMV.
824 *
825 * Auxiliary routine for test program for Level 2 Blas.
826 *
827 * -- Written on 10-August-1987.
828 * Richard Hanson, Sandia National Labs.
829 * Jeremy Du Croz, NAG Central Office.
830 *
831 * .. Parameters ..
832 COMPLEX*16 ZERO, HALF
833 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
834 $ HALF = ( 0.5D0, 0.0D0 ) )
835 DOUBLE PRECISION RZERO
836 PARAMETER ( RZERO = 0.0D0 )
837 * .. Scalar Arguments ..
838 DOUBLE PRECISION EPS, THRESH
839 INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
840 $ NOUT, NTRA, IORDER
841 LOGICAL FATAL, REWI, TRACE
842 CHARACTER*12 SNAME
843 * .. Array Arguments ..
844 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
845 $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
846 $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
847 $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
848 $ YY( NMAX*INCMAX )
849 DOUBLE PRECISION G( NMAX )
850 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
851 * .. Local Scalars ..
852 COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
853 DOUBLE PRECISION ERR, ERRMAX
854 INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY,
855 $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
856 $ N, NARGS, NC, NK, NS
857 LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
858 CHARACTER*1 UPLO, UPLOS
859 CHARACTER*14 CUPLO
860 CHARACTER*2 ICH
861 * .. Local Arrays ..
862 LOGICAL ISAME( 13 )
863 * .. External Functions ..
864 LOGICAL LZE, LZERES
865 EXTERNAL LZE, LZERES
866 * .. External Subroutines ..
867 EXTERNAL CZHBMV, CZHEMV, CZHPMV, ZMAKE, ZMVCH
868 * .. Intrinsic Functions ..
869 INTRINSIC ABS, MAX
870 * .. Scalars in Common ..
871 INTEGER INFOT, NOUTC
872 LOGICAL OK
873 * .. Common blocks ..
874 COMMON /INFOC/INFOT, NOUTC, OK
875 * .. Data statements ..
876 DATA ICH/'UL'/
877 * .. Executable Statements ..
878 FULL = SNAME( 9: 9 ).EQ.'e'
879 BANDED = SNAME( 9: 9 ).EQ.'b'
880 PACKED = SNAME( 9: 9 ).EQ.'p'
881 * Define the number of arguments.
882 IF( FULL )THEN
883 NARGS = 10
884 ELSE IF( BANDED )THEN
885 NARGS = 11
886 ELSE IF( PACKED )THEN
887 NARGS = 9
888 END IF
889 *
890 NC = 0
891 RESET = .TRUE.
892 ERRMAX = RZERO
893 *
894 DO 110 IN = 1, NIDIM
895 N = IDIM( IN )
896 *
897 IF( BANDED )THEN
898 NK = NKB
899 ELSE
900 NK = 1
901 END IF
902 DO 100 IK = 1, NK
903 IF( BANDED )THEN
904 K = KB( IK )
905 ELSE
906 K = N - 1
907 END IF
908 * Set LDA to 1 more than minimum value if room.
909 IF( BANDED )THEN
910 LDA = K + 1
911 ELSE
912 LDA = N
913 END IF
914 IF( LDA.LT.NMAX )
915 $ LDA = LDA + 1
916 * Skip tests if not enough room.
917 IF( LDA.GT.NMAX )
918 $ GO TO 100
919 IF( PACKED )THEN
920 LAA = ( N*( N + 1 ) )/2
921 ELSE
922 LAA = LDA*N
923 END IF
924 NULL = N.LE.0
925 *
926 DO 90 IC = 1, 2
927 UPLO = ICH( IC: IC )
928 IF (UPLO.EQ.'U')THEN
929 CUPLO = ' CblasUpper'
930 ELSE
931 CUPLO = ' CblasLower'
932 END IF
933 *
934 * Generate the matrix A.
935 *
936 TRANSL = ZERO
937 CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
938 $ LDA, K, K, RESET, TRANSL )
939 *
940 DO 80 IX = 1, NINC
941 INCX = INC( IX )
942 LX = ABS( INCX )*N
943 *
944 * Generate the vector X.
945 *
946 TRANSL = HALF
947 CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
948 $ ABS( INCX ), 0, N - 1, RESET, TRANSL )
949 IF( N.GT.1 )THEN
950 X( N/2 ) = ZERO
951 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
952 END IF
953 *
954 DO 70 IY = 1, NINC
955 INCY = INC( IY )
956 LY = ABS( INCY )*N
957 *
958 DO 60 IA = 1, NALF
959 ALPHA = ALF( IA )
960 *
961 DO 50 IB = 1, NBET
962 BETA = BET( IB )
963 *
964 * Generate the vector Y.
965 *
966 TRANSL = ZERO
967 CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
968 $ ABS( INCY ), 0, N - 1, RESET,
969 $ TRANSL )
970 *
971 NC = NC + 1
972 *
973 * Save every datum before calling the
974 * subroutine.
975 *
976 UPLOS = UPLO
977 NS = N
978 KS = K
979 ALS = ALPHA
980 DO 10 I = 1, LAA
981 AS( I ) = AA( I )
982 10 CONTINUE
983 LDAS = LDA
984 DO 20 I = 1, LX
985 XS( I ) = XX( I )
986 20 CONTINUE
987 INCXS = INCX
988 BLS = BETA
989 DO 30 I = 1, LY
990 YS( I ) = YY( I )
991 30 CONTINUE
992 INCYS = INCY
993 *
994 * Call the subroutine.
995 *
996 IF( FULL )THEN
997 IF( TRACE )
998 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
999 $ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
1000 IF( REWI )
1001 $ REWIND NTRA
1002 CALL CZHEMV( IORDER, UPLO, N, ALPHA, AA,
1003 $ LDA, XX, INCX, BETA, YY,
1004 $ INCY )
1005 ELSE IF( BANDED )THEN
1006 IF( TRACE )
1007 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1008 $ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
1009 $ INCY
1010 IF( REWI )
1011 $ REWIND NTRA
1012 CALL CZHBMV( IORDER, UPLO, N, K, ALPHA,
1013 $ AA, LDA, XX, INCX, BETA,
1014 $ YY, INCY )
1015 ELSE IF( PACKED )THEN
1016 IF( TRACE )
1017 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1018 $ CUPLO, N, ALPHA, INCX, BETA, INCY
1019 IF( REWI )
1020 $ REWIND NTRA
1021 CALL CZHPMV( IORDER, UPLO, N, ALPHA, AA,
1022 $ XX, INCX, BETA, YY, INCY )
1023 END IF
1024 *
1025 * Check if error-exit was taken incorrectly.
1026 *
1027 IF( .NOT.OK )THEN
1028 WRITE( NOUT, FMT = 9992 )
1029 FATAL = .TRUE.
1030 GO TO 120
1031 END IF
1032 *
1033 * See what data changed inside subroutines.
1034 *
1035 ISAME( 1 ) = UPLO.EQ.UPLOS
1036 ISAME( 2 ) = NS.EQ.N
1037 IF( FULL )THEN
1038 ISAME( 3 ) = ALS.EQ.ALPHA
1039 ISAME( 4 ) = LZE( AS, AA, LAA )
1040 ISAME( 5 ) = LDAS.EQ.LDA
1041 ISAME( 6 ) = LZE( XS, XX, LX )
1042 ISAME( 7 ) = INCXS.EQ.INCX
1043 ISAME( 8 ) = BLS.EQ.BETA
1044 IF( NULL )THEN
1045 ISAME( 9 ) = LZE( YS, YY, LY )
1046 ELSE
1047 ISAME( 9 ) = LZERES( 'ge', ' ', 1, N,
1048 $ YS, YY, ABS( INCY ) )
1049 END IF
1050 ISAME( 10 ) = INCYS.EQ.INCY
1051 ELSE IF( BANDED )THEN
1052 ISAME( 3 ) = KS.EQ.K
1053 ISAME( 4 ) = ALS.EQ.ALPHA
1054 ISAME( 5 ) = LZE( AS, AA, LAA )
1055 ISAME( 6 ) = LDAS.EQ.LDA
1056 ISAME( 7 ) = LZE( XS, XX, LX )
1057 ISAME( 8 ) = INCXS.EQ.INCX
1058 ISAME( 9 ) = BLS.EQ.BETA
1059 IF( NULL )THEN
1060 ISAME( 10 ) = LZE( YS, YY, LY )
1061 ELSE
1062 ISAME( 10 ) = LZERES( 'ge', ' ', 1, N,
1063 $ YS, YY, ABS( INCY ) )
1064 END IF
1065 ISAME( 11 ) = INCYS.EQ.INCY
1066 ELSE IF( PACKED )THEN
1067 ISAME( 3 ) = ALS.EQ.ALPHA
1068 ISAME( 4 ) = LZE( AS, AA, LAA )
1069 ISAME( 5 ) = LZE( XS, XX, LX )
1070 ISAME( 6 ) = INCXS.EQ.INCX
1071 ISAME( 7 ) = BLS.EQ.BETA
1072 IF( NULL )THEN
1073 ISAME( 8 ) = LZE( YS, YY, LY )
1074 ELSE
1075 ISAME( 8 ) = LZERES( 'ge', ' ', 1, N,
1076 $ YS, YY, ABS( INCY ) )
1077 END IF
1078 ISAME( 9 ) = INCYS.EQ.INCY
1079 END IF
1080 *
1081 * If data was incorrectly changed, report and
1082 * return.
1083 *
1084 SAME = .TRUE.
1085 DO 40 I = 1, NARGS
1086 SAME = SAME.AND.ISAME( I )
1087 IF( .NOT.ISAME( I ) )
1088 $ WRITE( NOUT, FMT = 9998 )I
1089 40 CONTINUE
1090 IF( .NOT.SAME )THEN
1091 FATAL = .TRUE.
1092 GO TO 120
1093 END IF
1094 *
1095 IF( .NOT.NULL )THEN
1096 *
1097 * Check the result.
1098 *
1099 CALL ZMVCH( 'N', N, N, ALPHA, A, NMAX, X,
1100 $ INCX, BETA, Y, INCY, YT, G,
1101 $ YY, EPS, ERR, FATAL, NOUT,
1102 $ .TRUE. )
1103 ERRMAX = MAX( ERRMAX, ERR )
1104 * If got really bad answer, report and
1105 * return.
1106 IF( FATAL )
1107 $ GO TO 120
1108 ELSE
1109 * Avoid repeating tests with N.le.0
1110 GO TO 110
1111 END IF
1112 *
1113 50 CONTINUE
1114 *
1115 60 CONTINUE
1116 *
1117 70 CONTINUE
1118 *
1119 80 CONTINUE
1120 *
1121 90 CONTINUE
1122 *
1123 100 CONTINUE
1124 *
1125 110 CONTINUE
1126 *
1127 * Report result.
1128 *
1129 IF( ERRMAX.LT.THRESH )THEN
1130 WRITE( NOUT, FMT = 9999 )SNAME, NC
1131 ELSE
1132 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1133 END IF
1134 GO TO 130
1135 *
1136 120 CONTINUE
1137 WRITE( NOUT, FMT = 9996 )SNAME
1138 IF( FULL )THEN
1139 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA, INCX,
1140 $ BETA, INCY
1141 ELSE IF( BANDED )THEN
1142 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
1143 $ INCX, BETA, INCY
1144 ELSE IF( PACKED )THEN
1145 WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
1146 $ BETA, INCY
1147 END IF
1148 *
1149 130 CONTINUE
1150 RETURN
1151 *
1152 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1153 $ 'S)' )
1154 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1155 $ 'ANGED INCORRECTLY *******' )
1156 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1157 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1158 $ ' - SUSPECT *******' )
1159 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1160 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
1161 $ F4.1, '), AP, X,',/ 10x, I2, ',(', F4.1, ',', F4.1,
1162 $ '), Y,', I2, ') .' )
1163 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
1164 $ F4.1, ',', F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(',
1165 $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
1166 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
1167 $ F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(', F4.1, ',',
1168 $ F4.1, '), ', 'Y,', I2, ') .' )
1169 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1170 $ '******' )
1171 *
1172 * End of CZHK2.
1173 *
1174 END
1175 SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1176 $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
1177 $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
1178 *
1179 * Tests ZTRMV, ZTBMV, ZTPMV, ZTRSV, ZTBSV and ZTPSV.
1180 *
1181 * Auxiliary routine for test program for Level 2 Blas.
1182 *
1183 * -- Written on 10-August-1987.
1184 * Richard Hanson, Sandia National Labs.
1185 * Jeremy Du Croz, NAG Central Office.
1186 *
1187 * .. Parameters ..
1188 COMPLEX*16 ZERO, HALF, ONE
1189 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
1190 $ HALF = ( 0.5D0, 0.0D0 ),
1191 $ ONE = ( 1.0D0, 0.0D0 ) )
1192 DOUBLE PRECISION RZERO
1193 PARAMETER ( RZERO = 0.0D0 )
1194 * .. Scalar Arguments ..
1195 DOUBLE PRECISION EPS, THRESH
1196 INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
1197 $ IORDER
1198 LOGICAL FATAL, REWI, TRACE
1199 CHARACTER*12 SNAME
1200 * .. Array Arguments ..
1201 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
1202 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1203 $ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
1204 DOUBLE PRECISION G( NMAX )
1205 INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
1206 * .. Local Scalars ..
1207 COMPLEX*16 TRANSL
1208 DOUBLE PRECISION ERR, ERRMAX
1209 INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
1210 $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
1211 LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
1212 CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
1213 CHARACTER*14 CUPLO,CTRANS,CDIAG
1214 CHARACTER*2 ICHD, ICHU
1215 CHARACTER*3 ICHT
1216 * .. Local Arrays ..
1217 LOGICAL ISAME( 13 )
1218 * .. External Functions ..
1219 LOGICAL LZE, LZERES
1220 EXTERNAL LZE, LZERES
1221 * .. External Subroutines ..
1222 EXTERNAL ZMAKE, ZMVCH, CZTBMV, CZTBSV, CZTPMV,
1223 $ CZTPSV, CZTRMV, CZTRSV
1224 * .. Intrinsic Functions ..
1225 INTRINSIC ABS, MAX
1226 * .. Scalars in Common ..
1227 INTEGER INFOT, NOUTC
1228 LOGICAL OK
1229 * .. Common blocks ..
1230 COMMON /INFOC/INFOT, NOUTC, OK
1231 * .. Data statements ..
1232 DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
1233 * .. Executable Statements ..
1234 FULL = SNAME( 9: 9 ).EQ.'r'
1235 BANDED = SNAME( 9: 9 ).EQ.'b'
1236 PACKED = SNAME( 9: 9 ).EQ.'p'
1237 * Define the number of arguments.
1238 IF( FULL )THEN
1239 NARGS = 8
1240 ELSE IF( BANDED )THEN
1241 NARGS = 9
1242 ELSE IF( PACKED )THEN
1243 NARGS = 7
1244 END IF
1245 *
1246 NC = 0
1247 RESET = .TRUE.
1248 ERRMAX = RZERO
1249 * Set up zero vector for ZMVCH.
1250 DO 10 I = 1, NMAX
1251 Z( I ) = ZERO
1252 10 CONTINUE
1253 *
1254 DO 110 IN = 1, NIDIM
1255 N = IDIM( IN )
1256 *
1257 IF( BANDED )THEN
1258 NK = NKB
1259 ELSE
1260 NK = 1
1261 END IF
1262 DO 100 IK = 1, NK
1263 IF( BANDED )THEN
1264 K = KB( IK )
1265 ELSE
1266 K = N - 1
1267 END IF
1268 * Set LDA to 1 more than minimum value if room.
1269 IF( BANDED )THEN
1270 LDA = K + 1
1271 ELSE
1272 LDA = N
1273 END IF
1274 IF( LDA.LT.NMAX )
1275 $ LDA = LDA + 1
1276 * Skip tests if not enough room.
1277 IF( LDA.GT.NMAX )
1278 $ GO TO 100
1279 IF( PACKED )THEN
1280 LAA = ( N*( N + 1 ) )/2
1281 ELSE
1282 LAA = LDA*N
1283 END IF
1284 NULL = N.LE.0
1285 *
1286 DO 90 ICU = 1, 2
1287 UPLO = ICHU( ICU: ICU )
1288 IF (UPLO.EQ.'U')THEN
1289 CUPLO = ' CblasUpper'
1290 ELSE
1291 CUPLO = ' CblasLower'
1292 END IF
1293 *
1294 DO 80 ICT = 1, 3
1295 TRANS = ICHT( ICT: ICT )
1296 IF (TRANS.EQ.'N')THEN
1297 CTRANS = ' CblasNoTrans'
1298 ELSE IF (TRANS.EQ.'T')THEN
1299 CTRANS = ' CblasTrans'
1300 ELSE
1301 CTRANS = 'CblasConjTrans'
1302 END IF
1303 *
1304 DO 70 ICD = 1, 2
1305 DIAG = ICHD( ICD: ICD )
1306 IF (DIAG.EQ.'N')THEN
1307 CDIAG = ' CblasNonUnit'
1308 ELSE
1309 CDIAG = ' CblasUnit'
1310 END IF
1311 *
1312 * Generate the matrix A.
1313 *
1314 TRANSL = ZERO
1315 CALL ZMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
1316 $ NMAX, AA, LDA, K, K, RESET, TRANSL )
1317 *
1318 DO 60 IX = 1, NINC
1319 INCX = INC( IX )
1320 LX = ABS( INCX )*N
1321 *
1322 * Generate the vector X.
1323 *
1324 TRANSL = HALF
1325 CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
1326 $ ABS( INCX ), 0, N - 1, RESET,
1327 $ TRANSL )
1328 IF( N.GT.1 )THEN
1329 X( N/2 ) = ZERO
1330 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1331 END IF
1332 *
1333 NC = NC + 1
1334 *
1335 * Save every datum before calling the subroutine.
1336 *
1337 UPLOS = UPLO
1338 TRANSS = TRANS
1339 DIAGS = DIAG
1340 NS = N
1341 KS = K
1342 DO 20 I = 1, LAA
1343 AS( I ) = AA( I )
1344 20 CONTINUE
1345 LDAS = LDA
1346 DO 30 I = 1, LX
1347 XS( I ) = XX( I )
1348 30 CONTINUE
1349 INCXS = INCX
1350 *
1351 * Call the subroutine.
1352 *
1353 IF( SNAME( 4: 5 ).EQ.'mv' )THEN
1354 IF( FULL )THEN
1355 IF( TRACE )
1356 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1357 $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1358 IF( REWI )
1359 $ REWIND NTRA
1360 CALL CZTRMV( IORDER, UPLO, TRANS, DIAG,
1361 $ N, AA, LDA, XX, INCX )
1362 ELSE IF( BANDED )THEN
1363 IF( TRACE )
1364 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1365 $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1366 IF( REWI )
1367 $ REWIND NTRA
1368 CALL CZTBMV( IORDER, UPLO, TRANS, DIAG,
1369 $ N, K, AA, LDA, XX, INCX )
1370 ELSE IF( PACKED )THEN
1371 IF( TRACE )
1372 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1373 $ CUPLO, CTRANS, CDIAG, N, INCX
1374 IF( REWI )
1375 $ REWIND NTRA
1376 CALL CZTPMV( IORDER, UPLO, TRANS, DIAG,
1377 $ N, AA, XX, INCX )
1378 END IF
1379 ELSE IF( SNAME( 4: 5 ).EQ.'sv' )THEN
1380 IF( FULL )THEN
1381 IF( TRACE )
1382 $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1383 $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1384 IF( REWI )
1385 $ REWIND NTRA
1386 CALL CZTRSV( IORDER, UPLO, TRANS, DIAG,
1387 $ N, AA, LDA, XX, INCX )
1388 ELSE IF( BANDED )THEN
1389 IF( TRACE )
1390 $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1391 $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1392 IF( REWI )
1393 $ REWIND NTRA
1394 CALL CZTBSV( IORDER, UPLO, TRANS, DIAG,
1395 $ N, K, AA, LDA, XX, INCX )
1396 ELSE IF( PACKED )THEN
1397 IF( TRACE )
1398 $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1399 $ CUPLO, CTRANS, CDIAG, N, INCX
1400 IF( REWI )
1401 $ REWIND NTRA
1402 CALL CZTPSV( IORDER, UPLO, TRANS, DIAG,
1403 $ N, AA, XX, INCX )
1404 END IF
1405 END IF
1406 *
1407 * Check if error-exit was taken incorrectly.
1408 *
1409 IF( .NOT.OK )THEN
1410 WRITE( NOUT, FMT = 9992 )
1411 FATAL = .TRUE.
1412 GO TO 120
1413 END IF
1414 *
1415 * See what data changed inside subroutines.
1416 *
1417 ISAME( 1 ) = UPLO.EQ.UPLOS
1418 ISAME( 2 ) = TRANS.EQ.TRANSS
1419 ISAME( 3 ) = DIAG.EQ.DIAGS
1420 ISAME( 4 ) = NS.EQ.N
1421 IF( FULL )THEN
1422 ISAME( 5 ) = LZE( AS, AA, LAA )
1423 ISAME( 6 ) = LDAS.EQ.LDA
1424 IF( NULL )THEN
1425 ISAME( 7 ) = LZE( XS, XX, LX )
1426 ELSE
1427 ISAME( 7 ) = LZERES( 'ge', ' ', 1, N, XS,
1428 $ XX, ABS( INCX ) )
1429 END IF
1430 ISAME( 8 ) = INCXS.EQ.INCX
1431 ELSE IF( BANDED )THEN
1432 ISAME( 5 ) = KS.EQ.K
1433 ISAME( 6 ) = LZE( AS, AA, LAA )
1434 ISAME( 7 ) = LDAS.EQ.LDA
1435 IF( NULL )THEN
1436 ISAME( 8 ) = LZE( XS, XX, LX )
1437 ELSE
1438 ISAME( 8 ) = LZERES( 'ge', ' ', 1, N, XS,
1439 $ XX, ABS( INCX ) )
1440 END IF
1441 ISAME( 9 ) = INCXS.EQ.INCX
1442 ELSE IF( PACKED )THEN
1443 ISAME( 5 ) = LZE( AS, AA, LAA )
1444 IF( NULL )THEN
1445 ISAME( 6 ) = LZE( XS, XX, LX )
1446 ELSE
1447 ISAME( 6 ) = LZERES( 'ge', ' ', 1, N, XS,
1448 $ XX, ABS( INCX ) )
1449 END IF
1450 ISAME( 7 ) = INCXS.EQ.INCX
1451 END IF
1452 *
1453 * If data was incorrectly changed, report and
1454 * return.
1455 *
1456 SAME = .TRUE.
1457 DO 40 I = 1, NARGS
1458 SAME = SAME.AND.ISAME( I )
1459 IF( .NOT.ISAME( I ) )
1460 $ WRITE( NOUT, FMT = 9998 )I
1461 40 CONTINUE
1462 IF( .NOT.SAME )THEN
1463 FATAL = .TRUE.
1464 GO TO 120
1465 END IF
1466 *
1467 IF( .NOT.NULL )THEN
1468 IF( SNAME( 4: 5 ).EQ.'mv' )THEN
1469 *
1470 * Check the result.
1471 *
1472 CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X,
1473 $ INCX, ZERO, Z, INCX, XT, G,
1474 $ XX, EPS, ERR, FATAL, NOUT,
1475 $ .TRUE. )
1476 ELSE IF( SNAME( 4: 5 ).EQ.'sv' )THEN
1477 *
1478 * Compute approximation to original vector.
1479 *
1480 DO 50 I = 1, N
1481 Z( I ) = XX( 1 + ( I - 1 )*
1482 $ ABS( INCX ) )
1483 XX( 1 + ( I - 1 )*ABS( INCX ) )
1484 $ = X( I )
1485 50 CONTINUE
1486 CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, Z,
1487 $ INCX, ZERO, X, INCX, XT, G,
1488 $ XX, EPS, ERR, FATAL, NOUT,
1489 $ .FALSE. )
1490 END IF
1491 ERRMAX = MAX( ERRMAX, ERR )
1492 * If got really bad answer, report and return.
1493 IF( FATAL )
1494 $ GO TO 120
1495 ELSE
1496 * Avoid repeating tests with N.le.0.
1497 GO TO 110
1498 END IF
1499 *
1500 60 CONTINUE
1501 *
1502 70 CONTINUE
1503 *
1504 80 CONTINUE
1505 *
1506 90 CONTINUE
1507 *
1508 100 CONTINUE
1509 *
1510 110 CONTINUE
1511 *
1512 * Report result.
1513 *
1514 IF( ERRMAX.LT.THRESH )THEN
1515 WRITE( NOUT, FMT = 9999 )SNAME, NC
1516 ELSE
1517 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1518 END IF
1519 GO TO 130
1520 *
1521 120 CONTINUE
1522 WRITE( NOUT, FMT = 9996 )SNAME
1523 IF( FULL )THEN
1524 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1525 $ LDA, INCX
1526 ELSE IF( BANDED )THEN
1527 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
1528 $ LDA, INCX
1529 ELSE IF( PACKED )THEN
1530 WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1531 $ INCX
1532 END IF
1533 *
1534 130 CONTINUE
1535 RETURN
1536 *
1537 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1538 $ 'S)' )
1539 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1540 $ 'ANGED INCORRECTLY *******' )
1541 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1542 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1543 $ ' - SUSPECT *******' )
1544 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1545 9995 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', AP, ',
1546 $ 'X,', I2, ') .' )
1547 9994 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, 2( I3, ',' ),
1548 $ ' A,', I3, ', X,', I2, ') .' )
1549 9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', A,',
1550 $ I3, ', X,', I2, ') .' )
1551 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1552 $ '******' )
1553 *
1554 * End of ZCHK3.
1555 *
1556 END
1557 SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1558 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
1559 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
1560 $ Z, IORDER )
1561 *
1562 * Tests ZGERC and ZGERU.
1563 *
1564 * Auxiliary routine for test program for Level 2 Blas.
1565 *
1566 * -- Written on 10-August-1987.
1567 * Richard Hanson, Sandia National Labs.
1568 * Jeremy Du Croz, NAG Central Office.
1569 *
1570 * .. Parameters ..
1571 COMPLEX*16 ZERO, HALF, ONE
1572 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
1573 $ HALF = ( 0.5D0, 0.0D0 ),
1574 $ ONE = ( 1.0D0, 0.0D0 ) )
1575 DOUBLE PRECISION RZERO
1576 PARAMETER ( RZERO = 0.0D0 )
1577 * .. Scalar Arguments ..
1578 DOUBLE PRECISION EPS, THRESH
1579 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
1580 $ IORDER
1581 LOGICAL FATAL, REWI, TRACE
1582 CHARACTER*12 SNAME
1583 * .. Array Arguments ..
1584 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
1585 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1586 $ XX( NMAX*INCMAX ), Y( NMAX ),
1587 $ YS( NMAX*INCMAX ), YT( NMAX ),
1588 $ YY( NMAX*INCMAX ), Z( NMAX )
1589 DOUBLE PRECISION G( NMAX )
1590 INTEGER IDIM( NIDIM ), INC( NINC )
1591 * .. Local Scalars ..
1592 COMPLEX*16 ALPHA, ALS, TRANSL
1593 DOUBLE PRECISION ERR, ERRMAX
1594 INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
1595 $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
1596 $ NC, ND, NS
1597 LOGICAL CONJ, NULL, RESET, SAME
1598 * .. Local Arrays ..
1599 COMPLEX*16 W( 1 )
1600 LOGICAL ISAME( 13 )
1601 * .. External Functions ..
1602 LOGICAL LZE, LZERES
1603 EXTERNAL LZE, LZERES
1604 * .. External Subroutines ..
1605 EXTERNAL CZGERC, CZGERU, ZMAKE, ZMVCH
1606 * .. Intrinsic Functions ..
1607 INTRINSIC ABS, DCONJG, MAX, MIN
1608 * .. Scalars in Common ..
1609 INTEGER INFOT, NOUTC
1610 LOGICAL OK
1611 * .. Common blocks ..
1612 COMMON /INFOC/INFOT, NOUTC, OK
1613 * .. Executable Statements ..
1614 CONJ = SNAME( 5: 5 ).EQ.'c'
1615 * Define the number of arguments.
1616 NARGS = 9
1617 *
1618 NC = 0
1619 RESET = .TRUE.
1620 ERRMAX = RZERO
1621 *
1622 DO 120 IN = 1, NIDIM
1623 N = IDIM( IN )
1624 ND = N/2 + 1
1625 *
1626 DO 110 IM = 1, 2
1627 IF( IM.EQ.1 )
1628 $ M = MAX( N - ND, 0 )
1629 IF( IM.EQ.2 )
1630 $ M = MIN( N + ND, NMAX )
1631 *
1632 * Set LDA to 1 more than minimum value if room.
1633 LDA = M
1634 IF( LDA.LT.NMAX )
1635 $ LDA = LDA + 1
1636 * Skip tests if not enough room.
1637 IF( LDA.GT.NMAX )
1638 $ GO TO 110
1639 LAA = LDA*N
1640 NULL = N.LE.0.OR.M.LE.0
1641 *
1642 DO 100 IX = 1, NINC
1643 INCX = INC( IX )
1644 LX = ABS( INCX )*M
1645 *
1646 * Generate the vector X.
1647 *
1648 TRANSL = HALF
1649 CALL ZMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
1650 $ 0, M - 1, RESET, TRANSL )
1651 IF( M.GT.1 )THEN
1652 X( M/2 ) = ZERO
1653 XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
1654 END IF
1655 *
1656 DO 90 IY = 1, NINC
1657 INCY = INC( IY )
1658 LY = ABS( INCY )*N
1659 *
1660 * Generate the vector Y.
1661 *
1662 TRANSL = ZERO
1663 CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
1664 $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
1665 IF( N.GT.1 )THEN
1666 Y( N/2 ) = ZERO
1667 YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
1668 END IF
1669 *
1670 DO 80 IA = 1, NALF
1671 ALPHA = ALF( IA )
1672 *
1673 * Generate the matrix A.
1674 *
1675 TRANSL = ZERO
1676 CALL ZMAKE(SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
1677 $ AA, LDA, M - 1, N - 1, RESET, TRANSL )
1678 *
1679 NC = NC + 1
1680 *
1681 * Save every datum before calling the subroutine.
1682 *
1683 MS = M
1684 NS = N
1685 ALS = ALPHA
1686 DO 10 I = 1, LAA
1687 AS( I ) = AA( I )
1688 10 CONTINUE
1689 LDAS = LDA
1690 DO 20 I = 1, LX
1691 XS( I ) = XX( I )
1692 20 CONTINUE
1693 INCXS = INCX
1694 DO 30 I = 1, LY
1695 YS( I ) = YY( I )
1696 30 CONTINUE
1697 INCYS = INCY
1698 *
1699 * Call the subroutine.
1700 *
1701 IF( TRACE )
1702 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
1703 $ ALPHA, INCX, INCY, LDA
1704 IF( CONJ )THEN
1705 IF( REWI )
1706 $ REWIND NTRA
1707 CALL CZGERC( IORDER, M, N, ALPHA, XX, INCX,
1708 $ YY, INCY, AA, LDA )
1709 ELSE
1710 IF( REWI )
1711 $ REWIND NTRA
1712 CALL CZGERU( IORDER, M, N, ALPHA, XX, INCX,
1713 $ YY, INCY, AA, LDA )
1714 END IF
1715 *
1716 * Check if error-exit was taken incorrectly.
1717 *
1718 IF( .NOT.OK )THEN
1719 WRITE( NOUT, FMT = 9993 )
1720 FATAL = .TRUE.
1721 GO TO 140
1722 END IF
1723 *
1724 * See what data changed inside subroutine.
1725 *
1726 ISAME( 1 ) = MS.EQ.M
1727 ISAME( 2 ) = NS.EQ.N
1728 ISAME( 3 ) = ALS.EQ.ALPHA
1729 ISAME( 4 ) = LZE( XS, XX, LX )
1730 ISAME( 5 ) = INCXS.EQ.INCX
1731 ISAME( 6 ) = LZE( YS, YY, LY )
1732 ISAME( 7 ) = INCYS.EQ.INCY
1733 IF( NULL )THEN
1734 ISAME( 8 ) = LZE( AS, AA, LAA )
1735 ELSE
1736 ISAME( 8 ) = LZERES( 'ge', ' ', M, N, AS, AA,
1737 $ LDA )
1738 END IF
1739 ISAME( 9 ) = LDAS.EQ.LDA
1740 *
1741 * If data was incorrectly changed, report and return.
1742 *
1743 SAME = .TRUE.
1744 DO 40 I = 1, NARGS
1745 SAME = SAME.AND.ISAME( I )
1746 IF( .NOT.ISAME( I ) )
1747 $ WRITE( NOUT, FMT = 9998 )I
1748 40 CONTINUE
1749 IF( .NOT.SAME )THEN
1750 FATAL = .TRUE.
1751 GO TO 140
1752 END IF
1753 *
1754 IF( .NOT.NULL )THEN
1755 *
1756 * Check the result column by column.
1757 *
1758 IF( INCX.GT.0 )THEN
1759 DO 50 I = 1, M
1760 Z( I ) = X( I )
1761 50 CONTINUE
1762 ELSE
1763 DO 60 I = 1, M
1764 Z( I ) = X( M - I + 1 )
1765 60 CONTINUE
1766 END IF
1767 DO 70 J = 1, N
1768 IF( INCY.GT.0 )THEN
1769 W( 1 ) = Y( J )
1770 ELSE
1771 W( 1 ) = Y( N - J + 1 )
1772 END IF
1773 IF( CONJ )
1774 $ W( 1 ) = DCONJG( W( 1 ) )
1775 CALL ZMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1,
1776 $ ONE, A( 1, J ), 1, YT, G,
1777 $ AA( 1 + ( J - 1 )*LDA ), EPS,
1778 $ ERR, FATAL, NOUT, .TRUE. )
1779 ERRMAX = MAX( ERRMAX, ERR )
1780 * If got really bad answer, report and return.
1781 IF( FATAL )
1782 $ GO TO 130
1783 70 CONTINUE
1784 ELSE
1785 * Avoid repeating tests with M.le.0 or N.le.0.
1786 GO TO 110
1787 END IF
1788 *
1789 80 CONTINUE
1790 *
1791 90 CONTINUE
1792 *
1793 100 CONTINUE
1794 *
1795 110 CONTINUE
1796 *
1797 120 CONTINUE
1798 *
1799 * Report result.
1800 *
1801 IF( ERRMAX.LT.THRESH )THEN
1802 WRITE( NOUT, FMT = 9999 )SNAME, NC
1803 ELSE
1804 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1805 END IF
1806 GO TO 150
1807 *
1808 130 CONTINUE
1809 WRITE( NOUT, FMT = 9995 )J
1810 *
1811 140 CONTINUE
1812 WRITE( NOUT, FMT = 9996 )SNAME
1813 WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
1814 *
1815 150 CONTINUE
1816 RETURN
1817 *
1818 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
1819 $ 'S)' )
1820 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
1821 $ 'ANGED INCORRECTLY *******' )
1822 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
1823 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
1824 $ ' - SUSPECT *******' )
1825 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
1826 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
1827 9994 FORMAT(1X, I6, ': ',A12, '(', 2( I3, ',' ), '(', F4.1, ',', F4.1,
1828 $ '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
1829 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
1830 $ '******' )
1831 *
1832 * End of ZCHK4.
1833 *
1834 END
1835 SUBROUTINE ZCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
1836 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
1837 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
1838 $ Z, IORDER )
1839 *
1840 * Tests ZHER and ZHPR.
1841 *
1842 * Auxiliary routine for test program for Level 2 Blas.
1843 *
1844 * -- Written on 10-August-1987.
1845 * Richard Hanson, Sandia National Labs.
1846 * Jeremy Du Croz, NAG Central Office.
1847 *
1848 * .. Parameters ..
1849 COMPLEX*16 ZERO, HALF, ONE
1850 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
1851 $ HALF = ( 0.5D0, 0.0D0 ),
1852 $ ONE = ( 1.0D0, 0.0D0 ) )
1853 DOUBLE PRECISION RZERO
1854 PARAMETER ( RZERO = 0.0D0 )
1855 * .. Scalar Arguments ..
1856 DOUBLE PRECISION EPS, THRESH
1857 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
1858 $ IORDER
1859 LOGICAL FATAL, REWI, TRACE
1860 CHARACTER*12 SNAME
1861 * .. Array Arguments ..
1862 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
1863 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
1864 $ XX( NMAX*INCMAX ), Y( NMAX ),
1865 $ YS( NMAX*INCMAX ), YT( NMAX ),
1866 $ YY( NMAX*INCMAX ), Z( NMAX )
1867 DOUBLE PRECISION G( NMAX )
1868 INTEGER IDIM( NIDIM ), INC( NINC )
1869 * .. Local Scalars ..
1870 COMPLEX*16 ALPHA, TRANSL
1871 DOUBLE PRECISION ERR, ERRMAX, RALPHA, RALS
1872 INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA,
1873 $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
1874 LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
1875 CHARACTER*1 UPLO, UPLOS
1876 CHARACTER*14 CUPLO
1877 CHARACTER*2 ICH
1878 * .. Local Arrays ..
1879 COMPLEX*16 W( 1 )
1880 LOGICAL ISAME( 13 )
1881 * .. External Functions ..
1882 LOGICAL LZE, LZERES
1883 EXTERNAL LZE, LZERES
1884 * .. External Subroutines ..
1885 EXTERNAL CZHER, CZHPR, ZMAKE, ZMVCH
1886 * .. Intrinsic Functions ..
1887 INTRINSIC ABS, DCMPLX, DCONJG, MAX, DBLE
1888 * .. Scalars in Common ..
1889 INTEGER INFOT, NOUTC
1890 LOGICAL OK
1891 * .. Common blocks ..
1892 COMMON /INFOC/INFOT, NOUTC, OK
1893 * .. Data statements ..
1894 DATA ICH/'UL'/
1895 * .. Executable Statements ..
1896 FULL = SNAME( 9: 9 ).EQ.'e'
1897 PACKED = SNAME( 9: 9 ).EQ.'p'
1898 * Define the number of arguments.
1899 IF( FULL )THEN
1900 NARGS = 7
1901 ELSE IF( PACKED )THEN
1902 NARGS = 6
1903 END IF
1904 *
1905 NC = 0
1906 RESET = .TRUE.
1907 ERRMAX = RZERO
1908 *
1909 DO 100 IN = 1, NIDIM
1910 N = IDIM( IN )
1911 * Set LDA to 1 more than minimum value if room.
1912 LDA = N
1913 IF( LDA.LT.NMAX )
1914 $ LDA = LDA + 1
1915 * Skip tests if not enough room.
1916 IF( LDA.GT.NMAX )
1917 $ GO TO 100
1918 IF( PACKED )THEN
1919 LAA = ( N*( N + 1 ) )/2
1920 ELSE
1921 LAA = LDA*N
1922 END IF
1923 *
1924 DO 90 IC = 1, 2
1925 UPLO = ICH( IC: IC )
1926 IF (UPLO.EQ.'U')THEN
1927 CUPLO = ' CblasUpper'
1928 ELSE
1929 CUPLO = ' CblasLower'
1930 END IF
1931 UPPER = UPLO.EQ.'U'
1932 *
1933 DO 80 IX = 1, NINC
1934 INCX = INC( IX )
1935 LX = ABS( INCX )*N
1936 *
1937 * Generate the vector X.
1938 *
1939 TRANSL = HALF
1940 CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
1941 $ 0, N - 1, RESET, TRANSL )
1942 IF( N.GT.1 )THEN
1943 X( N/2 ) = ZERO
1944 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1945 END IF
1946 *
1947 DO 70 IA = 1, NALF
1948 RALPHA = DBLE( ALF( IA ) )
1949 ALPHA = DCMPLX( RALPHA, RZERO )
1950 NULL = N.LE.0.OR.RALPHA.EQ.RZERO
1951 *
1952 * Generate the matrix A.
1953 *
1954 TRANSL = ZERO
1955 CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
1956 $ AA, LDA, N - 1, N - 1, RESET, TRANSL )
1957 *
1958 NC = NC + 1
1959 *
1960 * Save every datum before calling the subroutine.
1961 *
1962 UPLOS = UPLO
1963 NS = N
1964 RALS = RALPHA
1965 DO 10 I = 1, LAA
1966 AS( I ) = AA( I )
1967 10 CONTINUE
1968 LDAS = LDA
1969 DO 20 I = 1, LX
1970 XS( I ) = XX( I )
1971 20 CONTINUE
1972 INCXS = INCX
1973 *
1974 * Call the subroutine.
1975 *
1976 IF( FULL )THEN
1977 IF( TRACE )
1978 $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
1979 $ RALPHA, INCX, LDA
1980 IF( REWI )
1981 $ REWIND NTRA
1982 CALL CZHER( IORDER, UPLO, N, RALPHA, XX,
1983 $ INCX, AA, LDA )
1984 ELSE IF( PACKED )THEN
1985 IF( TRACE )
1986 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
1987 $ RALPHA, INCX
1988 IF( REWI )
1989 $ REWIND NTRA
1990 CALL CZHPR( IORDER, UPLO, N, RALPHA,
1991 $ XX, INCX, AA )
1992 END IF
1993 *
1994 * Check if error-exit was taken incorrectly.
1995 *
1996 IF( .NOT.OK )THEN
1997 WRITE( NOUT, FMT = 9992 )
1998 FATAL = .TRUE.
1999 GO TO 120
2000 END IF
2001 *
2002 * See what data changed inside subroutines.
2003 *
2004 ISAME( 1 ) = UPLO.EQ.UPLOS
2005 ISAME( 2 ) = NS.EQ.N
2006 ISAME( 3 ) = RALS.EQ.RALPHA
2007 ISAME( 4 ) = LZE( XS, XX, LX )
2008 ISAME( 5 ) = INCXS.EQ.INCX
2009 IF( NULL )THEN
2010 ISAME( 6 ) = LZE( AS, AA, LAA )
2011 ELSE
2012 ISAME( 6 ) = LZERES( SNAME( 8: 9 ), UPLO, N, N, AS,
2013 $ AA, LDA )
2014 END IF
2015 IF( .NOT.PACKED )THEN
2016 ISAME( 7 ) = LDAS.EQ.LDA
2017 END IF
2018 *
2019 * If data was incorrectly changed, report and return.
2020 *
2021 SAME = .TRUE.
2022 DO 30 I = 1, NARGS
2023 SAME = SAME.AND.ISAME( I )
2024 IF( .NOT.ISAME( I ) )
2025 $ WRITE( NOUT, FMT = 9998 )I
2026 30 CONTINUE
2027 IF( .NOT.SAME )THEN
2028 FATAL = .TRUE.
2029 GO TO 120
2030 END IF
2031 *
2032 IF( .NOT.NULL )THEN
2033 *
2034 * Check the result column by column.
2035 *
2036 IF( INCX.GT.0 )THEN
2037 DO 40 I = 1, N
2038 Z( I ) = X( I )
2039 40 CONTINUE
2040 ELSE
2041 DO 50 I = 1, N
2042 Z( I ) = X( N - I + 1 )
2043 50 CONTINUE
2044 END IF
2045 JA = 1
2046 DO 60 J = 1, N
2047 W( 1 ) = DCONJG( Z( J ) )
2048 IF( UPPER )THEN
2049 JJ = 1
2050 LJ = J
2051 ELSE
2052 JJ = J
2053 LJ = N - J + 1
2054 END IF
2055 CALL ZMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W,
2056 $ 1, ONE, A( JJ, J ), 1, YT, G,
2057 $ AA( JA ), EPS, ERR, FATAL, NOUT,
2058 $ .TRUE. )
2059 IF( FULL )THEN
2060 IF( UPPER )THEN
2061 JA = JA + LDA
2062 ELSE
2063 JA = JA + LDA + 1
2064 END IF
2065 ELSE
2066 JA = JA + LJ
2067 END IF
2068 ERRMAX = MAX( ERRMAX, ERR )
2069 * If got really bad answer, report and return.
2070 IF( FATAL )
2071 $ GO TO 110
2072 60 CONTINUE
2073 ELSE
2074 * Avoid repeating tests if N.le.0.
2075 IF( N.LE.0 )
2076 $ GO TO 100
2077 END IF
2078 *
2079 70 CONTINUE
2080 *
2081 80 CONTINUE
2082 *
2083 90 CONTINUE
2084 *
2085 100 CONTINUE
2086 *
2087 * Report result.
2088 *
2089 IF( ERRMAX.LT.THRESH )THEN
2090 WRITE( NOUT, FMT = 9999 )SNAME, NC
2091 ELSE
2092 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2093 END IF
2094 GO TO 130
2095 *
2096 110 CONTINUE
2097 WRITE( NOUT, FMT = 9995 )J
2098 *
2099 120 CONTINUE
2100 WRITE( NOUT, FMT = 9996 )SNAME
2101 IF( FULL )THEN
2102 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, RALPHA, INCX, LDA
2103 ELSE IF( PACKED )THEN
2104 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, RALPHA, INCX
2105 END IF
2106 *
2107 130 CONTINUE
2108 RETURN
2109 *
2110 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
2111 $ 'S)' )
2112 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
2113 $ 'ANGED INCORRECTLY *******' )
2114 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
2115 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
2116 $ ' - SUSPECT *******' )
2117 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
2118 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
2119 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
2120 $ I2, ', AP) .' )
2121 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
2122 $ I2, ', A,', I3, ') .' )
2123 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
2124 $ '******' )
2125 *
2126 * End of CZHK5.
2127 *
2128 END
2129 SUBROUTINE ZCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
2130 $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
2131 $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
2132 $ Z, IORDER )
2133 *
2134 * Tests ZHER2 and ZHPR2.
2135 *
2136 * Auxiliary routine for test program for Level 2 Blas.
2137 *
2138 * -- Written on 10-August-1987.
2139 * Richard Hanson, Sandia National Labs.
2140 * Jeremy Du Croz, NAG Central Office.
2141 *
2142 * .. Parameters ..
2143 COMPLEX*16 ZERO, HALF, ONE
2144 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
2145 $ HALF = ( 0.5D0, 0.0D0 ),
2146 $ ONE = ( 1.0D0, 0.0D0 ) )
2147 DOUBLE PRECISION RZERO
2148 PARAMETER ( RZERO = 0.0D0 )
2149 * .. Scalar Arguments ..
2150 DOUBLE PRECISION EPS, THRESH
2151 INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
2152 $ IORDER
2153 LOGICAL FATAL, REWI, TRACE
2154 CHARACTER*12 SNAME
2155 * .. Array Arguments ..
2156 COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
2157 $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
2158 $ XX( NMAX*INCMAX ), Y( NMAX ),
2159 $ YS( NMAX*INCMAX ), YT( NMAX ),
2160 $ YY( NMAX*INCMAX ), Z( NMAX, 2 )
2161 DOUBLE PRECISION G( NMAX )
2162 INTEGER IDIM( NIDIM ), INC( NINC )
2163 * .. Local Scalars ..
2164 COMPLEX*16 ALPHA, ALS, TRANSL
2165 DOUBLE PRECISION ERR, ERRMAX
2166 INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX,
2167 $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
2168 $ NARGS, NC, NS
2169 LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
2170 CHARACTER*1 UPLO, UPLOS
2171 CHARACTER*14 CUPLO
2172 CHARACTER*2 ICH
2173 * .. Local Arrays ..
2174 COMPLEX*16 W( 2 )
2175 LOGICAL ISAME( 13 )
2176 * .. External Functions ..
2177 LOGICAL LZE, LZERES
2178 EXTERNAL LZE, LZERES
2179 * .. External Subroutines ..
2180 EXTERNAL CZHER2, CZHPR2, ZMAKE, ZMVCH
2181 * .. Intrinsic Functions ..
2182 INTRINSIC ABS, DCONJG, MAX
2183 * .. Scalars in Common ..
2184 INTEGER INFOT, NOUTC
2185 LOGICAL OK
2186 * .. Common blocks ..
2187 COMMON /INFOC/INFOT, NOUTC, OK
2188 * .. Data statements ..
2189 DATA ICH/'UL'/
2190 * .. Executable Statements ..
2191 FULL = SNAME( 9: 9 ).EQ.'e'
2192 PACKED = SNAME( 9: 9 ).EQ.'p'
2193 * Define the number of arguments.
2194 IF( FULL )THEN
2195 NARGS = 9
2196 ELSE IF( PACKED )THEN
2197 NARGS = 8
2198 END IF
2199 *
2200 NC = 0
2201 RESET = .TRUE.
2202 ERRMAX = RZERO
2203 *
2204 DO 140 IN = 1, NIDIM
2205 N = IDIM( IN )
2206 * Set LDA to 1 more than minimum value if room.
2207 LDA = N
2208 IF( LDA.LT.NMAX )
2209 $ LDA = LDA + 1
2210 * Skip tests if not enough room.
2211 IF( LDA.GT.NMAX )
2212 $ GO TO 140
2213 IF( PACKED )THEN
2214 LAA = ( N*( N + 1 ) )/2
2215 ELSE
2216 LAA = LDA*N
2217 END IF
2218 *
2219 DO 130 IC = 1, 2
2220 UPLO = ICH( IC: IC )
2221 IF (UPLO.EQ.'U')THEN
2222 CUPLO = ' CblasUpper'
2223 ELSE
2224 CUPLO = ' CblasLower'
2225 END IF
2226 UPPER = UPLO.EQ.'U'
2227 *
2228 DO 120 IX = 1, NINC
2229 INCX = INC( IX )
2230 LX = ABS( INCX )*N
2231 *
2232 * Generate the vector X.
2233 *
2234 TRANSL = HALF
2235 CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
2236 $ 0, N - 1, RESET, TRANSL )
2237 IF( N.GT.1 )THEN
2238 X( N/2 ) = ZERO
2239 XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
2240 END IF
2241 *
2242 DO 110 IY = 1, NINC
2243 INCY = INC( IY )
2244 LY = ABS( INCY )*N
2245 *
2246 * Generate the vector Y.
2247 *
2248 TRANSL = ZERO
2249 CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
2250 $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
2251 IF( N.GT.1 )THEN
2252 Y( N/2 ) = ZERO
2253 YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
2254 END IF
2255 *
2256 DO 100 IA = 1, NALF
2257 ALPHA = ALF( IA )
2258 NULL = N.LE.0.OR.ALPHA.EQ.ZERO
2259 *
2260 * Generate the matrix A.
2261 *
2262 TRANSL = ZERO
2263 CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
2264 $ NMAX, AA, LDA, N - 1, N - 1, RESET,
2265 $ TRANSL )
2266 *
2267 NC = NC + 1
2268 *
2269 * Save every datum before calling the subroutine.
2270 *
2271 UPLOS = UPLO
2272 NS = N
2273 ALS = ALPHA
2274 DO 10 I = 1, LAA
2275 AS( I ) = AA( I )
2276 10 CONTINUE
2277 LDAS = LDA
2278 DO 20 I = 1, LX
2279 XS( I ) = XX( I )
2280 20 CONTINUE
2281 INCXS = INCX
2282 DO 30 I = 1, LY
2283 YS( I ) = YY( I )
2284 30 CONTINUE
2285 INCYS = INCY
2286 *
2287 * Call the subroutine.
2288 *
2289 IF( FULL )THEN
2290 IF( TRACE )
2291 $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
2292 $ ALPHA, INCX, INCY, LDA
2293 IF( REWI )
2294 $ REWIND NTRA
2295 CALL CZHER2( IORDER, UPLO, N, ALPHA, XX, INCX,
2296 $ YY, INCY, AA, LDA )
2297 ELSE IF( PACKED )THEN
2298 IF( TRACE )
2299 $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
2300 $ ALPHA, INCX, INCY
2301 IF( REWI )
2302 $ REWIND NTRA
2303 CALL CZHPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
2304 $ YY, INCY, AA )
2305 END IF
2306 *
2307 * Check if error-exit was taken incorrectly.
2308 *
2309 IF( .NOT.OK )THEN
2310 WRITE( NOUT, FMT = 9992 )
2311 FATAL = .TRUE.
2312 GO TO 160
2313 END IF
2314 *
2315 * See what data changed inside subroutines.
2316 *
2317 ISAME( 1 ) = UPLO.EQ.UPLOS
2318 ISAME( 2 ) = NS.EQ.N
2319 ISAME( 3 ) = ALS.EQ.ALPHA
2320 ISAME( 4 ) = LZE( XS, XX, LX )
2321 ISAME( 5 ) = INCXS.EQ.INCX
2322 ISAME( 6 ) = LZE( YS, YY, LY )
2323 ISAME( 7 ) = INCYS.EQ.INCY
2324 IF( NULL )THEN
2325 ISAME( 8 ) = LZE( AS, AA, LAA )
2326 ELSE
2327 ISAME( 8 ) = LZERES( SNAME( 8: 9 ), UPLO, N, N,
2328 $ AS, AA, LDA )
2329 END IF
2330 IF( .NOT.PACKED )THEN
2331 ISAME( 9 ) = LDAS.EQ.LDA
2332 END IF
2333 *
2334 * If data was incorrectly changed, report and return.
2335 *
2336 SAME = .TRUE.
2337 DO 40 I = 1, NARGS
2338 SAME = SAME.AND.ISAME( I )
2339 IF( .NOT.ISAME( I ) )
2340 $ WRITE( NOUT, FMT = 9998 )I
2341 40 CONTINUE
2342 IF( .NOT.SAME )THEN
2343 FATAL = .TRUE.
2344 GO TO 160
2345 END IF
2346 *
2347 IF( .NOT.NULL )THEN
2348 *
2349 * Check the result column by column.
2350 *
2351 IF( INCX.GT.0 )THEN
2352 DO 50 I = 1, N
2353 Z( I, 1 ) = X( I )
2354 50 CONTINUE
2355 ELSE
2356 DO 60 I = 1, N
2357 Z( I, 1 ) = X( N - I + 1 )
2358 60 CONTINUE
2359 END IF
2360 IF( INCY.GT.0 )THEN
2361 DO 70 I = 1, N
2362 Z( I, 2 ) = Y( I )
2363 70 CONTINUE
2364 ELSE
2365 DO 80 I = 1, N
2366 Z( I, 2 ) = Y( N - I + 1 )
2367 80 CONTINUE
2368 END IF
2369 JA = 1
2370 DO 90 J = 1, N
2371 W( 1 ) = ALPHA*DCONJG( Z( J, 2 ) )
2372 W( 2 ) = DCONJG( ALPHA )*DCONJG( Z( J, 1 ) )
2373 IF( UPPER )THEN
2374 JJ = 1
2375 LJ = J
2376 ELSE
2377 JJ = J
2378 LJ = N - J + 1
2379 END IF
2380 CALL ZMVCH( 'N', LJ, 2, ONE, Z( JJ, 1 ),
2381 $ NMAX, W, 1, ONE, A( JJ, J ), 1,
2382 $ YT, G, AA( JA ), EPS, ERR, FATAL,
2383 $ NOUT, .TRUE. )
2384 IF( FULL )THEN
2385 IF( UPPER )THEN
2386 JA = JA + LDA
2387 ELSE
2388 JA = JA + LDA + 1
2389 END IF
2390 ELSE
2391 JA = JA + LJ
2392 END IF
2393 ERRMAX = MAX( ERRMAX, ERR )
2394 * If got really bad answer, report and return.
2395 IF( FATAL )
2396 $ GO TO 150
2397 90 CONTINUE
2398 ELSE
2399 * Avoid repeating tests with N.le.0.
2400 IF( N.LE.0 )
2401 $ GO TO 140
2402 END IF
2403 *
2404 100 CONTINUE
2405 *
2406 110 CONTINUE
2407 *
2408 120 CONTINUE
2409 *
2410 130 CONTINUE
2411 *
2412 140 CONTINUE
2413 *
2414 * Report result.
2415 *
2416 IF( ERRMAX.LT.THRESH )THEN
2417 WRITE( NOUT, FMT = 9999 )SNAME, NC
2418 ELSE
2419 WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2420 END IF
2421 GO TO 170
2422 *
2423 150 CONTINUE
2424 WRITE( NOUT, FMT = 9995 )J
2425 *
2426 160 CONTINUE
2427 WRITE( NOUT, FMT = 9996 )SNAME
2428 IF( FULL )THEN
2429 WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
2430 $ INCY, LDA
2431 ELSE IF( PACKED )THEN
2432 WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
2433 END IF
2434 *
2435 170 CONTINUE
2436 RETURN
2437 *
2438 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
2439 $ 'S)' )
2440 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
2441 $ 'ANGED INCORRECTLY *******' )
2442 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
2443 $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
2444 $ ' - SUSPECT *******' )
2445 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
2446 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
2447 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
2448 $ F4.1, '), X,', I2, ', Y,', I2, ', AP) .' )
2449 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
2450 $ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
2451 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
2452 $ '******' )
2453 *
2454 * End of ZCHK6.
2455 *
2456 END
2457 SUBROUTINE ZMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
2458 $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
2459 *
2460 * Checks the results of the computational tests.
2461 *
2462 * Auxiliary routine for test program for Level 2 Blas.
2463 *
2464 * -- Written on 10-August-1987.
2465 * Richard Hanson, Sandia National Labs.
2466 * Jeremy Du Croz, NAG Central Office.
2467 *
2468 * .. Parameters ..
2469 COMPLEX*16 ZERO
2470 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
2471 DOUBLE PRECISION RZERO, RONE
2472 PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
2473 * .. Scalar Arguments ..
2474 COMPLEX*16 ALPHA, BETA
2475 DOUBLE PRECISION EPS, ERR
2476 INTEGER INCX, INCY, M, N, NMAX, NOUT
2477 LOGICAL FATAL, MV
2478 CHARACTER*1 TRANS
2479 * .. Array Arguments ..
2480 COMPLEX*16 A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
2481 DOUBLE PRECISION G( * )
2482 * .. Local Scalars ..
2483 COMPLEX*16 C
2484 DOUBLE PRECISION ERRI
2485 INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
2486 LOGICAL CTRAN, TRAN
2487 * .. Intrinsic Functions ..
2488 INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT
2489 * .. Statement Functions ..
2490 DOUBLE PRECISION ABS1
2491 * .. Statement Function definitions ..
2492 ABS1( C ) = ABS( DBLE( C ) ) + ABS( DIMAG( C ) )
2493 * .. Executable Statements ..
2494 TRAN = TRANS.EQ.'T'
2495 CTRAN = TRANS.EQ.'C'
2496 IF( TRAN.OR.CTRAN )THEN
2497 ML = N
2498 NL = M
2499 ELSE
2500 ML = M
2501 NL = N
2502 END IF
2503 IF( INCX.LT.0 )THEN
2504 KX = NL
2505 INCXL = -1
2506 ELSE
2507 KX = 1
2508 INCXL = 1
2509 END IF
2510 IF( INCY.LT.0 )THEN
2511 KY = ML
2512 INCYL = -1
2513 ELSE
2514 KY = 1
2515 INCYL = 1
2516 END IF
2517 *
2518 * Compute expected result in YT using data in A, X and Y.
2519 * Compute gauges in G.
2520 *
2521 IY = KY
2522 DO 40 I = 1, ML
2523 YT( IY ) = ZERO
2524 G( IY ) = RZERO
2525 JX = KX
2526 IF( TRAN )THEN
2527 DO 10 J = 1, NL
2528 YT( IY ) = YT( IY ) + A( J, I )*X( JX )
2529 G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2530 JX = JX + INCXL
2531 10 CONTINUE
2532 ELSE IF( CTRAN )THEN
2533 DO 20 J = 1, NL
2534 YT( IY ) = YT( IY ) + DCONJG( A( J, I ) )*X( JX )
2535 G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2536 JX = JX + INCXL
2537 20 CONTINUE
2538 ELSE
2539 DO 30 J = 1, NL
2540 YT( IY ) = YT( IY ) + A( I, J )*X( JX )
2541 G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
2542 JX = JX + INCXL
2543 30 CONTINUE
2544 END IF
2545 YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
2546 G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) )
2547 IY = IY + INCYL
2548 40 CONTINUE
2549 *
2550 * Compute the error ratio for this result.
2551 *
2552 ERR = ZERO
2553 DO 50 I = 1, ML
2554 ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
2555 IF( G( I ).NE.RZERO )
2556 $ ERRI = ERRI/G( I )
2557 ERR = MAX( ERR, ERRI )
2558 IF( ERR*SQRT( EPS ).GE.RONE )
2559 $ GO TO 60
2560 50 CONTINUE
2561 * If the loop completes, all results are at least half accurate.
2562 GO TO 80
2563 *
2564 * Report fatal error.
2565 *
2566 60 FATAL = .TRUE.
2567 WRITE( NOUT, FMT = 9999 )
2568 DO 70 I = 1, ML
2569 IF( MV )THEN
2570 WRITE( NOUT, FMT = 9998 )I, YT( I ),
2571 $ YY( 1 + ( I - 1 )*ABS( INCY ) )
2572 ELSE
2573 WRITE( NOUT, FMT = 9998 )I,
2574 $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I )
2575 END IF
2576 70 CONTINUE
2577 *
2578 80 CONTINUE
2579 RETURN
2580 *
2581 9999 FORMAT(' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
2582 $ 'F ACCURATE *******', /' EXPECTED RE',
2583 $ 'SULT COMPUTED RESULT' )
2584 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
2585 *
2586 * End of ZMVCH.
2587 *
2588 END
2589 LOGICAL FUNCTION LZE( RI, RJ, LR )
2590 *
2591 * Tests if two arrays are identical.
2592 *
2593 * Auxiliary routine for test program for Level 2 Blas.
2594 *
2595 * -- Written on 10-August-1987.
2596 * Richard Hanson, Sandia National Labs.
2597 * Jeremy Du Croz, NAG Central Office.
2598 *
2599 * .. Scalar Arguments ..
2600 INTEGER LR
2601 * .. Array Arguments ..
2602 COMPLEX*16 RI( * ), RJ( * )
2603 * .. Local Scalars ..
2604 INTEGER I
2605 * .. Executable Statements ..
2606 DO 10 I = 1, LR
2607 IF( RI( I ).NE.RJ( I ) )
2608 $ GO TO 20
2609 10 CONTINUE
2610 LZE = .TRUE.
2611 GO TO 30
2612 20 CONTINUE
2613 LZE = .FALSE.
2614 30 RETURN
2615 *
2616 * End of LZE.
2617 *
2618 END
2619 LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
2620 *
2621 * Tests if selected elements in two arrays are equal.
2622 *
2623 * TYPE is 'ge', 'he' or 'hp'.
2624 *
2625 * Auxiliary routine for test program for Level 2 Blas.
2626 *
2627 * -- Written on 10-August-1987.
2628 * Richard Hanson, Sandia National Labs.
2629 * Jeremy Du Croz, NAG Central Office.
2630 *
2631 * .. Scalar Arguments ..
2632 INTEGER LDA, M, N
2633 CHARACTER*1 UPLO
2634 CHARACTER*2 TYPE
2635 * .. Array Arguments ..
2636 COMPLEX*16 AA( LDA, * ), AS( LDA, * )
2637 * .. Local Scalars ..
2638 INTEGER I, IBEG, IEND, J
2639 LOGICAL UPPER
2640 * .. Executable Statements ..
2641 UPPER = UPLO.EQ.'U'
2642 IF( TYPE.EQ.'ge' )THEN
2643 DO 20 J = 1, N
2644 DO 10 I = M + 1, LDA
2645 IF( AA( I, J ).NE.AS( I, J ) )
2646 $ GO TO 70
2647 10 CONTINUE
2648 20 CONTINUE
2649 ELSE IF( TYPE.EQ.'he' )THEN
2650 DO 50 J = 1, N
2651 IF( UPPER )THEN
2652 IBEG = 1
2653 IEND = J
2654 ELSE
2655 IBEG = J
2656 IEND = N
2657 END IF
2658 DO 30 I = 1, IBEG - 1
2659 IF( AA( I, J ).NE.AS( I, J ) )
2660 $ GO TO 70
2661 30 CONTINUE
2662 DO 40 I = IEND + 1, LDA
2663 IF( AA( I, J ).NE.AS( I, J ) )
2664 $ GO TO 70
2665 40 CONTINUE
2666 50 CONTINUE
2667 END IF
2668 *
2669 60 CONTINUE
2670 LZERES = .TRUE.
2671 GO TO 80
2672 70 CONTINUE
2673 LZERES = .FALSE.
2674 80 RETURN
2675 *
2676 * End of LZERES.
2677 *
2678 END
2679 COMPLEX*16 FUNCTION ZBEG( RESET )
2680 *
2681 * Generates complex numbers as pairs of random numbers uniformly
2682 * distributed between -0.5 and 0.5.
2683 *
2684 * Auxiliary routine for test program for Level 2 Blas.
2685 *
2686 * -- Written on 10-August-1987.
2687 * Richard Hanson, Sandia National Labs.
2688 * Jeremy Du Croz, NAG Central Office.
2689 *
2690 * .. Scalar Arguments ..
2691 LOGICAL RESET
2692 * .. Local Scalars ..
2693 INTEGER I, IC, J, MI, MJ
2694 * .. Save statement ..
2695 SAVE I, IC, J, MI, MJ
2696 * .. Intrinsic Functions ..
2697 INTRINSIC DCMPLX
2698 * .. Executable Statements ..
2699 IF( RESET )THEN
2700 * Initialize local variables.
2701 MI = 891
2702 MJ = 457
2703 I = 7
2704 J = 7
2705 IC = 0
2706 RESET = .FALSE.
2707 END IF
2708 *
2709 * The sequence of values of I or J is bounded between 1 and 999.
2710 * If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
2711 * If initial I or J = 4 or 8, the period will be 25.
2712 * If initial I or J = 5, the period will be 10.
2713 * IC is used to break up the period by skipping 1 value of I or J
2714 * in 6.
2715 *
2716 IC = IC + 1
2717 10 I = I*MI
2718 J = J*MJ
2719 I = I - 1000*( I/1000 )
2720 J = J - 1000*( J/1000 )
2721 IF( IC.GE.5 )THEN
2722 IC = 0
2723 GO TO 10
2724 END IF
2725 ZBEG = DCMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
2726 RETURN
2727 *
2728 * End of ZBEG.
2729 *
2730 END
2731 DOUBLE PRECISION FUNCTION DDIFF( X, Y )
2732 *
2733 * Auxiliary routine for test program for Level 2 Blas.
2734 *
2735 * -- Written on 10-August-1987.
2736 * Richard Hanson, Sandia National Labs.
2737 *
2738 * .. Scalar Arguments ..
2739 DOUBLE PRECISION X, Y
2740 * .. Executable Statements ..
2741 DDIFF = X - Y
2742 RETURN
2743 *
2744 * End of DDIFF.
2745 *
2746 END
2747 SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
2748 $ KU, RESET, TRANSL )
2749 *
2750 * Generates values for an M by N matrix A within the bandwidth
2751 * defined by KL and KU.
2752 * Stores the values in the array AA in the data structure required
2753 * by the routine, with unwanted elements set to rogue value.
2754 *
2755 * TYPE is 'ge', 'gb', 'he', 'hb', 'hp', 'tr', 'tb' OR 'tp'.
2756 *
2757 * Auxiliary routine for test program for Level 2 Blas.
2758 *
2759 * -- Written on 10-August-1987.
2760 * Richard Hanson, Sandia National Labs.
2761 * Jeremy Du Croz, NAG Central Office.
2762 *
2763 * .. Parameters ..
2764 COMPLEX*16 ZERO, ONE
2765 PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
2766 $ ONE = ( 1.0D0, 0.0D0 ) )
2767 COMPLEX*16 ROGUE
2768 PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
2769 DOUBLE PRECISION RZERO
2770 PARAMETER ( RZERO = 0.0D0 )
2771 DOUBLE PRECISION RROGUE
2772 PARAMETER ( RROGUE = -1.0D10 )
2773 * .. Scalar Arguments ..
2774 COMPLEX*16 TRANSL
2775 INTEGER KL, KU, LDA, M, N, NMAX
2776 LOGICAL RESET
2777 CHARACTER*1 DIAG, UPLO
2778 CHARACTER*2 TYPE
2779 * .. Array Arguments ..
2780 COMPLEX*16 A( NMAX, * ), AA( * )
2781 * .. Local Scalars ..
2782 INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK
2783 LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
2784 * .. External Functions ..
2785 COMPLEX*16 ZBEG
2786 EXTERNAL ZBEG
2787 * .. Intrinsic Functions ..
2788 INTRINSIC DCMPLX, DCONJG, MAX, MIN, DBLE
2789 * .. Executable Statements ..
2790 GEN = TYPE( 1: 1 ).EQ.'g'
2791 SYM = TYPE( 1: 1 ).EQ.'h'
2792 TRI = TYPE( 1: 1 ).EQ.'t'
2793 UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
2794 LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
2795 UNIT = TRI.AND.DIAG.EQ.'U'
2796 *
2797 * Generate data in array A.
2798 *
2799 DO 20 J = 1, N
2800 DO 10 I = 1, M
2801 IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
2802 $ THEN
2803 IF( ( I.LE.J.AND.J - I.LE.KU ).OR.
2804 $ ( I.GE.J.AND.I - J.LE.KL ) )THEN
2805 A( I, J ) = ZBEG( RESET ) + TRANSL
2806 ELSE
2807 A( I, J ) = ZERO
2808 END IF
2809 IF( I.NE.J )THEN
2810 IF( SYM )THEN
2811 A( J, I ) = DCONJG( A( I, J ) )
2812 ELSE IF( TRI )THEN
2813 A( J, I ) = ZERO
2814 END IF
2815 END IF
2816 END IF
2817 10 CONTINUE
2818 IF( SYM )
2819 $ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
2820 IF( TRI )
2821 $ A( J, J ) = A( J, J ) + ONE
2822 IF( UNIT )
2823 $ A( J, J ) = ONE
2824 20 CONTINUE
2825 *
2826 * Store elements in array AS in data structure required by routine.
2827 *
2828 IF( TYPE.EQ.'ge' )THEN
2829 DO 50 J = 1, N
2830 DO 30 I = 1, M
2831 AA( I + ( J - 1 )*LDA ) = A( I, J )
2832 30 CONTINUE
2833 DO 40 I = M + 1, LDA
2834 AA( I + ( J - 1 )*LDA ) = ROGUE
2835 40 CONTINUE
2836 50 CONTINUE
2837 ELSE IF( TYPE.EQ.'gb' )THEN
2838 DO 90 J = 1, N
2839 DO 60 I1 = 1, KU + 1 - J
2840 AA( I1 + ( J - 1 )*LDA ) = ROGUE
2841 60 CONTINUE
2842 DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
2843 AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J )
2844 70 CONTINUE
2845 DO 80 I3 = I2, LDA
2846 AA( I3 + ( J - 1 )*LDA ) = ROGUE
2847 80 CONTINUE
2848 90 CONTINUE
2849 ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'tr' )THEN
2850 DO 130 J = 1, N
2851 IF( UPPER )THEN
2852 IBEG = 1
2853 IF( UNIT )THEN
2854 IEND = J - 1
2855 ELSE
2856 IEND = J
2857 END IF
2858 ELSE
2859 IF( UNIT )THEN
2860 IBEG = J + 1
2861 ELSE
2862 IBEG = J
2863 END IF
2864 IEND = N
2865 END IF
2866 DO 100 I = 1, IBEG - 1
2867 AA( I + ( J - 1 )*LDA ) = ROGUE
2868 100 CONTINUE
2869 DO 110 I = IBEG, IEND
2870 AA( I + ( J - 1 )*LDA ) = A( I, J )
2871 110 CONTINUE
2872 DO 120 I = IEND + 1, LDA
2873 AA( I + ( J - 1 )*LDA ) = ROGUE
2874 120 CONTINUE
2875 IF( SYM )THEN
2876 JJ = J + ( J - 1 )*LDA
2877 AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
2878 END IF
2879 130 CONTINUE
2880 ELSE IF( TYPE.EQ.'hb'.OR.TYPE.EQ.'tb' )THEN
2881 DO 170 J = 1, N
2882 IF( UPPER )THEN
2883 KK = KL + 1
2884 IBEG = MAX( 1, KL + 2 - J )
2885 IF( UNIT )THEN
2886 IEND = KL
2887 ELSE
2888 IEND = KL + 1
2889 END IF
2890 ELSE
2891 KK = 1
2892 IF( UNIT )THEN
2893 IBEG = 2
2894 ELSE
2895 IBEG = 1
2896 END IF
2897 IEND = MIN( KL + 1, 1 + M - J )
2898 END IF
2899 DO 140 I = 1, IBEG - 1
2900 AA( I + ( J - 1 )*LDA ) = ROGUE
2901 140 CONTINUE
2902 DO 150 I = IBEG, IEND
2903 AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
2904 150 CONTINUE
2905 DO 160 I = IEND + 1, LDA
2906 AA( I + ( J - 1 )*LDA ) = ROGUE
2907 160 CONTINUE
2908 IF( SYM )THEN
2909 JJ = KK + ( J - 1 )*LDA
2910 AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
2911 END IF
2912 170 CONTINUE
2913 ELSE IF( TYPE.EQ.'hp'.OR.TYPE.EQ.'tp' )THEN
2914 IOFF = 0
2915 DO 190 J = 1, N
2916 IF( UPPER )THEN
2917 IBEG = 1
2918 IEND = J
2919 ELSE
2920 IBEG = J
2921 IEND = N
2922 END IF
2923 DO 180 I = IBEG, IEND
2924 IOFF = IOFF + 1
2925 AA( IOFF ) = A( I, J )
2926 IF( I.EQ.J )THEN
2927 IF( UNIT )
2928 $ AA( IOFF ) = ROGUE
2929 IF( SYM )
2930 $ AA( IOFF ) = DCMPLX( DBLE( AA( IOFF ) ), RROGUE )
2931 END IF
2932 180 CONTINUE
2933 190 CONTINUE
2934 END IF
2935 RETURN
2936 *
2937 * End of ZMAKE.
2938 *
2939 END