3
* Test program for the COMPLEX*16 Level 2 Blas.
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
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
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.
47
* Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
48
* An extended set of Fortran Basic Linear Algebra Subprograms.
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.
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.
62
* -- Written on 10-August-1987.
63
* Richard Hanson, Sandia National Labs.
64
* Jeremy Du Croz, NAG Central Office.
68
PARAMETER ( NIN = 5, NOUT = 6 )
70
PARAMETER ( NSUBS = 17 )
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 )
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 )
82
DOUBLE PRECISION EPS, ERR, THRESH
83
INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
85
LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
86
$ TSTERR, CORDER, RORDER
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
105
* .. External Subroutines ..
106
EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHK6,
108
* .. Intrinsic Functions ..
109
INTRINSIC ABS, MAX, MIN
110
* .. Scalars in Common ..
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 ..
128
* Read name and unit number for summary output file and open file.
130
READ( NIN, FMT = * )SNAPS
131
READ( NIN, FMT = * )NTRA
134
OPEN( NTRA, FILE = SNAPS )
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
148
* Read and check the parameter values for the tests.
151
READ( NIN, FMT = * )NIDIM
152
IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
153
WRITE( NOUT, FMT = 9997 )'N', NIDMAX
156
READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
158
IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
159
WRITE( NOUT, FMT = 9996 )NMAX
164
READ( NIN, FMT = * )NKB
165
IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
166
WRITE( NOUT, FMT = 9997 )'K', NKBMAX
169
READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
171
IF( KB( I ).LT.0 )THEN
172
WRITE( NOUT, FMT = 9995 )
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
182
READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
184
IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
185
WRITE( NOUT, FMT = 9994 )INCMAX
190
READ( NIN, FMT = * )NALF
191
IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
192
WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
195
READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
197
READ( NIN, FMT = * )NBET
198
IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
199
WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
202
READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
204
* Report values of parameters.
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 )
216
WRITE( NOUT, FMT = * )
217
WRITE( NOUT, FMT = 9999 )THRESH
218
WRITE( NOUT, FMT = * )
221
IF (LAYOUT.EQ.2) THEN
224
WRITE( *, FMT = 10002 )
225
ELSE IF (LAYOUT.EQ.1) THEN
227
WRITE( *, FMT = 10001 )
228
ELSE IF (LAYOUT.EQ.0) THEN
230
WRITE( *, FMT = 10000 )
234
* Read names of subroutines and flags which indicate
235
* whether they are to be tested.
240
50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT
242
IF( SNAMET.EQ.SNAMES( I ) )
245
WRITE( NOUT, FMT = 9986 )SNAMET
247
70 LTEST( I ) = LTESTT
253
* Compute EPS (the machine precision).
257
IF( DDIFF( RONE + EPS, RONE ).EQ.RZERO )
263
WRITE( NOUT, FMT = 9998 )EPS
265
* Check the reliability of ZMVCH using exact data.
270
A( I, J ) = MAX( I - J + 1, 0 )
276
YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
278
* YY holds the exact result. On exit from CMVCH YT holds
279
* the result computed by CMVCH.
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
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
297
* Test each subroutine in turn.
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 )
305
SRNAMT = SNAMES( ISNUM )
308
CALL CZ2CHKE( SNAMES( ISNUM ) )
309
WRITE( NOUT, FMT = * )
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.
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 )
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 )
332
* Test ZHEMV, 03, ZHBMV, 04, and ZHPMV, 05.
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 )
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 )
346
* Test ZTRMV, 06, ZTBMV, 07, ZTPMV, 08,
347
* ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11.
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,
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,
361
* Test ZGERC, 12, ZGERU, 13.
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,
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,
375
* Test ZHER, 14, and ZHPR, 15.
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,
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,
389
* Test ZHER2, 16, and ZHPR2, 17.
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,
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,
403
200 IF( FATAL.AND.SFATAL )
407
WRITE( NOUT, FMT = 9982 )
411
WRITE( NOUT, FMT = 9981 )
415
WRITE( NOUT, FMT = 9987 )
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',
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 ',
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 ',
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' )
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 )
467
* Tests CGEMV and CGBMV.
469
* Auxiliary routine for test program for Level 2 Blas.
471
* -- Written on 10-August-1987.
472
* Richard Hanson, Sandia National Labs.
473
* Jeremy Du Croz, NAG Central Office.
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,
485
LOGICAL FATAL, REWI, TRACE
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 ),
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,
502
LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
503
CHARACTER*1 TRANS, TRANSS
508
* .. External Functions ..
511
* .. External Subroutines ..
512
EXTERNAL CZGBMV, CZGEMV, ZMAKE, ZMVCH
513
* .. Intrinsic Functions ..
514
INTRINSIC ABS, MAX, MIN
515
* .. Scalars in Common ..
518
* .. Common blocks ..
519
COMMON /INFOC/INFOT, NOUTC, OK
520
* .. Data statements ..
522
* .. Executable Statements ..
523
FULL = SNAME( 9: 9 ).EQ.'e'
524
BANDED = SNAME( 9: 9 ).EQ.'b'
525
* Define the number of arguments.
528
ELSE IF( BANDED )THEN
542
$ M = MAX( N - ND, 0 )
544
$ M = MIN( N + ND, NMAX )
554
KL = MAX( KU - 1, 0 )
559
* Set LDA to 1 more than minimum value if room.
567
* Skip tests if not enough room.
571
NULL = N.LE.0.OR.M.LE.0
573
* Generate the matrix A.
576
CALL ZMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
577
$ LDA, KL, KU, RESET, TRANSL )
580
TRANS = ICH( IC: IC )
581
IF (TRANS.EQ.'N')THEN
582
CTRANS = ' CblasNoTrans'
583
ELSE IF (TRANS.EQ.'T')THEN
584
CTRANS = ' CblasTrans'
586
CTRANS = 'CblasConjTrans'
588
TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
602
* Generate the vector X.
605
CALL ZMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
606
$ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
609
XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
622
* Generate the vector Y.
625
CALL ZMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
626
$ YY, ABS( INCY ), 0, ML - 1,
631
* Save every datum before calling the
654
* Call the subroutine.
658
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
659
$ CTRANS, M, N, ALPHA, LDA, INCX, BETA,
663
CALL CZGEMV( IORDER, TRANS, M, N,
664
$ ALPHA, AA, LDA, XX, INCX,
666
ELSE IF( BANDED )THEN
668
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
669
$ CTRANS, M, N, KL, KU, ALPHA, LDA,
673
CALL CZGBMV( IORDER, TRANS, M, N, KL,
674
$ KU, ALPHA, AA, LDA, XX,
675
$ INCX, BETA, YY, INCY )
678
* Check if error-exit was taken incorrectly.
681
WRITE( NOUT, FMT = 9993 )
686
* See what data changed inside subroutines.
688
* IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN
689
ISAME( 1 ) = TRANS.EQ.TRANSS
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
700
ISAME( 10 ) = LZE( YS, YY, LY )
702
ISAME( 10 ) = LZERES( 'ge', ' ', 1,
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
717
ISAME( 12 ) = LZE( YS, YY, LY )
719
ISAME( 12 ) = LZERES( 'ge', ' ', 1,
723
ISAME( 13 ) = INCYS.EQ.INCY
726
* If data was incorrectly changed, report
731
SAME = SAME.AND.ISAME( I )
732
IF( .NOT.ISAME( I ) )
733
$ WRITE( NOUT, FMT = 9998 )I
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
754
* Avoid repeating tests with M.le.0 or
778
IF( ERRMAX.LT.THRESH )THEN
779
WRITE( NOUT, FMT = 9999 )SNAME, NC
781
WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
786
WRITE( NOUT, FMT = 9996 )SNAME
788
WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
790
ELSE IF( BANDED )THEN
791
WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
792
$ ALPHA, LDA, INCX, BETA, INCY
798
9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
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 *',
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 )
823
* Tests CHEMV, CHBMV and CHPMV.
825
* Auxiliary routine for test program for Level 2 Blas.
827
* -- Written on 10-August-1987.
828
* Richard Hanson, Sandia National Labs.
829
* Jeremy Du Croz, NAG Central Office.
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,
841
LOGICAL FATAL, REWI, TRACE
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 ),
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
863
* .. External Functions ..
866
* .. External Subroutines ..
867
EXTERNAL CZHBMV, CZHEMV, CZHPMV, ZMAKE, ZMVCH
868
* .. Intrinsic Functions ..
870
* .. Scalars in Common ..
873
* .. Common blocks ..
874
COMMON /INFOC/INFOT, NOUTC, OK
875
* .. Data statements ..
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.
884
ELSE IF( BANDED )THEN
886
ELSE IF( PACKED )THEN
908
* Set LDA to 1 more than minimum value if room.
916
* Skip tests if not enough room.
920
LAA = ( N*( N + 1 ) )/2
929
CUPLO = ' CblasUpper'
931
CUPLO = ' CblasLower'
934
* Generate the matrix A.
937
CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
938
$ LDA, K, K, RESET, TRANSL )
944
* Generate the vector X.
947
CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
948
$ ABS( INCX ), 0, N - 1, RESET, TRANSL )
951
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
964
* Generate the vector Y.
967
CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
968
$ ABS( INCY ), 0, N - 1, RESET,
973
* Save every datum before calling the
994
* Call the subroutine.
998
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
999
$ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
1002
CALL CZHEMV( IORDER, UPLO, N, ALPHA, AA,
1003
$ LDA, XX, INCX, BETA, YY,
1005
ELSE IF( BANDED )THEN
1007
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1008
$ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
1012
CALL CZHBMV( IORDER, UPLO, N, K, ALPHA,
1013
$ AA, LDA, XX, INCX, BETA,
1015
ELSE IF( PACKED )THEN
1017
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1018
$ CUPLO, N, ALPHA, INCX, BETA, INCY
1021
CALL CZHPMV( IORDER, UPLO, N, ALPHA, AA,
1022
$ XX, INCX, BETA, YY, INCY )
1025
* Check if error-exit was taken incorrectly.
1028
WRITE( NOUT, FMT = 9992 )
1033
* See what data changed inside subroutines.
1035
ISAME( 1 ) = UPLO.EQ.UPLOS
1036
ISAME( 2 ) = NS.EQ.N
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
1045
ISAME( 9 ) = LZE( YS, YY, LY )
1047
ISAME( 9 ) = LZERES( 'ge', ' ', 1, N,
1048
$ YS, YY, ABS( INCY ) )
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
1060
ISAME( 10 ) = LZE( YS, YY, LY )
1062
ISAME( 10 ) = LZERES( 'ge', ' ', 1, N,
1063
$ YS, YY, ABS( INCY ) )
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
1073
ISAME( 8 ) = LZE( YS, YY, LY )
1075
ISAME( 8 ) = LZERES( 'ge', ' ', 1, N,
1076
$ YS, YY, ABS( INCY ) )
1078
ISAME( 9 ) = INCYS.EQ.INCY
1081
* If data was incorrectly changed, report and
1086
SAME = SAME.AND.ISAME( I )
1087
IF( .NOT.ISAME( I ) )
1088
$ WRITE( NOUT, FMT = 9998 )I
1099
CALL ZMVCH( 'N', N, N, ALPHA, A, NMAX, X,
1100
$ INCX, BETA, Y, INCY, YT, G,
1101
$ YY, EPS, ERR, FATAL, NOUT,
1103
ERRMAX = MAX( ERRMAX, ERR )
1104
* If got really bad answer, report and
1109
* Avoid repeating tests with N.le.0
1129
IF( ERRMAX.LT.THRESH )THEN
1130
WRITE( NOUT, FMT = 9999 )SNAME, NC
1132
WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1137
WRITE( NOUT, FMT = 9996 )SNAME
1139
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA, INCX,
1141
ELSE IF( BANDED )THEN
1142
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
1144
ELSE IF( PACKED )THEN
1145
WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
1152
9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
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 *',
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 )
1179
* Tests ZTRMV, ZTBMV, ZTPMV, ZTRSV, ZTBSV and ZTPSV.
1181
* Auxiliary routine for test program for Level 2 Blas.
1183
* -- Written on 10-August-1987.
1184
* Richard Hanson, Sandia National Labs.
1185
* Jeremy Du Croz, NAG Central Office.
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,
1198
LOGICAL FATAL, REWI, TRACE
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 ..
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
1216
* .. Local Arrays ..
1218
* .. External Functions ..
1220
EXTERNAL LZE, LZERES
1221
* .. External Subroutines ..
1222
EXTERNAL ZMAKE, ZMVCH, CZTBMV, CZTBSV, CZTPMV,
1223
$ CZTPSV, CZTRMV, CZTRSV
1224
* .. Intrinsic Functions ..
1226
* .. Scalars in Common ..
1227
INTEGER INFOT, NOUTC
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.
1240
ELSE IF( BANDED )THEN
1242
ELSE IF( PACKED )THEN
1249
* Set up zero vector for ZMVCH.
1254
DO 110 IN = 1, NIDIM
1268
* Set LDA to 1 more than minimum value if room.
1276
* Skip tests if not enough room.
1280
LAA = ( N*( N + 1 ) )/2
1287
UPLO = ICHU( ICU: ICU )
1288
IF (UPLO.EQ.'U')THEN
1289
CUPLO = ' CblasUpper'
1291
CUPLO = ' CblasLower'
1295
TRANS = ICHT( ICT: ICT )
1296
IF (TRANS.EQ.'N')THEN
1297
CTRANS = ' CblasNoTrans'
1298
ELSE IF (TRANS.EQ.'T')THEN
1299
CTRANS = ' CblasTrans'
1301
CTRANS = 'CblasConjTrans'
1305
DIAG = ICHD( ICD: ICD )
1306
IF (DIAG.EQ.'N')THEN
1307
CDIAG = ' CblasNonUnit'
1309
CDIAG = ' CblasUnit'
1312
* Generate the matrix A.
1315
CALL ZMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
1316
$ NMAX, AA, LDA, K, K, RESET, TRANSL )
1322
* Generate the vector X.
1325
CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
1326
$ ABS( INCX ), 0, N - 1, RESET,
1330
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1335
* Save every datum before calling the subroutine.
1351
* Call the subroutine.
1353
IF( SNAME( 10: 11 ).EQ.'mv' )THEN
1356
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1357
$ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1360
CALL CZTRMV( IORDER, UPLO, TRANS, DIAG,
1361
$ N, AA, LDA, XX, INCX )
1362
ELSE IF( BANDED )THEN
1364
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1365
$ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1368
CALL CZTBMV( IORDER, UPLO, TRANS, DIAG,
1369
$ N, K, AA, LDA, XX, INCX )
1370
ELSE IF( PACKED )THEN
1372
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1373
$ CUPLO, CTRANS, CDIAG, N, INCX
1376
CALL CZTPMV( IORDER, UPLO, TRANS, DIAG,
1379
ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
1382
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
1383
$ CUPLO, CTRANS, CDIAG, N, LDA, INCX
1386
CALL CZTRSV( IORDER, UPLO, TRANS, DIAG,
1387
$ N, AA, LDA, XX, INCX )
1388
ELSE IF( BANDED )THEN
1390
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
1391
$ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
1394
CALL CZTBSV( IORDER, UPLO, TRANS, DIAG,
1395
$ N, K, AA, LDA, XX, INCX )
1396
ELSE IF( PACKED )THEN
1398
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
1399
$ CUPLO, CTRANS, CDIAG, N, INCX
1402
CALL CZTPSV( IORDER, UPLO, TRANS, DIAG,
1407
* Check if error-exit was taken incorrectly.
1410
WRITE( NOUT, FMT = 9992 )
1415
* See what data changed inside subroutines.
1417
ISAME( 1 ) = UPLO.EQ.UPLOS
1418
ISAME( 2 ) = TRANS.EQ.TRANSS
1419
ISAME( 3 ) = DIAG.EQ.DIAGS
1420
ISAME( 4 ) = NS.EQ.N
1422
ISAME( 5 ) = LZE( AS, AA, LAA )
1423
ISAME( 6 ) = LDAS.EQ.LDA
1425
ISAME( 7 ) = LZE( XS, XX, LX )
1427
ISAME( 7 ) = LZERES( 'ge', ' ', 1, N, XS,
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
1436
ISAME( 8 ) = LZE( XS, XX, LX )
1438
ISAME( 8 ) = LZERES( 'ge', ' ', 1, N, XS,
1441
ISAME( 9 ) = INCXS.EQ.INCX
1442
ELSE IF( PACKED )THEN
1443
ISAME( 5 ) = LZE( AS, AA, LAA )
1445
ISAME( 6 ) = LZE( XS, XX, LX )
1447
ISAME( 6 ) = LZERES( 'ge', ' ', 1, N, XS,
1450
ISAME( 7 ) = INCXS.EQ.INCX
1453
* If data was incorrectly changed, report and
1458
SAME = SAME.AND.ISAME( I )
1459
IF( .NOT.ISAME( I ) )
1460
$ WRITE( NOUT, FMT = 9998 )I
1468
IF( SNAME( 10: 11 ).EQ.'mv' )THEN
1472
CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X,
1473
$ INCX, ZERO, Z, INCX, XT, G,
1474
$ XX, EPS, ERR, FATAL, NOUT,
1476
ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
1478
* Compute approximation to original vector.
1481
Z( I ) = XX( 1 + ( I - 1 )*
1483
XX( 1 + ( I - 1 )*ABS( INCX ) )
1486
CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, Z,
1487
$ INCX, ZERO, X, INCX, XT, G,
1488
$ XX, EPS, ERR, FATAL, NOUT,
1491
ERRMAX = MAX( ERRMAX, ERR )
1492
* If got really bad answer, report and return.
1496
* Avoid repeating tests with N.le.0.
1514
IF( ERRMAX.LT.THRESH )THEN
1515
WRITE( NOUT, FMT = 9999 )SNAME, NC
1517
WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1522
WRITE( NOUT, FMT = 9996 )SNAME
1524
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1526
ELSE IF( BANDED )THEN
1527
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
1529
ELSE IF( PACKED )THEN
1530
WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
1537
9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
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, ',
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 *',
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,
1562
* Tests ZGERC and ZGERU.
1564
* Auxiliary routine for test program for Level 2 Blas.
1566
* -- Written on 10-August-1987.
1567
* Richard Hanson, Sandia National Labs.
1568
* Jeremy Du Croz, NAG Central Office.
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,
1581
LOGICAL FATAL, REWI, TRACE
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,
1597
LOGICAL CONJ, NULL, RESET, SAME
1598
* .. Local Arrays ..
1601
* .. External Functions ..
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
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.
1622
DO 120 IN = 1, NIDIM
1628
$ M = MAX( N - ND, 0 )
1630
$ M = MIN( N + ND, NMAX )
1632
* Set LDA to 1 more than minimum value if room.
1636
* Skip tests if not enough room.
1640
NULL = N.LE.0.OR.M.LE.0
1646
* Generate the vector X.
1649
CALL ZMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
1650
$ 0, M - 1, RESET, TRANSL )
1653
XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
1660
* Generate the vector Y.
1663
CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
1664
$ ABS( INCY ), 0, N - 1, RESET, TRANSL )
1667
YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
1673
* Generate the matrix A.
1676
CALL ZMAKE(SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
1677
$ AA, LDA, M - 1, N - 1, RESET, TRANSL )
1681
* Save every datum before calling the subroutine.
1699
* Call the subroutine.
1702
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
1703
$ ALPHA, INCX, INCY, LDA
1707
CALL CZGERC( IORDER, M, N, ALPHA, XX, INCX,
1708
$ YY, INCY, AA, LDA )
1712
CALL CZGERU( IORDER, M, N, ALPHA, XX, INCX,
1713
$ YY, INCY, AA, LDA )
1716
* Check if error-exit was taken incorrectly.
1719
WRITE( NOUT, FMT = 9993 )
1724
* See what data changed inside subroutine.
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
1734
ISAME( 8 ) = LZE( AS, AA, LAA )
1736
ISAME( 8 ) = LZERES( 'ge', ' ', M, N, AS, AA,
1739
ISAME( 9 ) = LDAS.EQ.LDA
1741
* If data was incorrectly changed, report and return.
1745
SAME = SAME.AND.ISAME( I )
1746
IF( .NOT.ISAME( I ) )
1747
$ WRITE( NOUT, FMT = 9998 )I
1756
* Check the result column by column.
1764
Z( I ) = X( M - I + 1 )
1771
W( 1 ) = Y( N - J + 1 )
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.
1785
* Avoid repeating tests with M.le.0 or N.le.0.
1801
IF( ERRMAX.LT.THRESH )THEN
1802
WRITE( NOUT, FMT = 9999 )SNAME, NC
1804
WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
1809
WRITE( NOUT, FMT = 9995 )J
1812
WRITE( NOUT, FMT = 9996 )SNAME
1813
WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
1818
9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
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 *',
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,
1840
* Tests ZHER and ZHPR.
1842
* Auxiliary routine for test program for Level 2 Blas.
1844
* -- Written on 10-August-1987.
1845
* Richard Hanson, Sandia National Labs.
1846
* Jeremy Du Croz, NAG Central Office.
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,
1859
LOGICAL FATAL, REWI, TRACE
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
1878
* .. Local Arrays ..
1881
* .. External Functions ..
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
1891
* .. Common blocks ..
1892
COMMON /INFOC/INFOT, NOUTC, OK
1893
* .. Data statements ..
1895
* .. Executable Statements ..
1896
FULL = SNAME( 9: 9 ).EQ.'e'
1897
PACKED = SNAME( 9: 9 ).EQ.'p'
1898
* Define the number of arguments.
1901
ELSE IF( PACKED )THEN
1909
DO 100 IN = 1, NIDIM
1911
* Set LDA to 1 more than minimum value if room.
1915
* Skip tests if not enough room.
1919
LAA = ( N*( N + 1 ) )/2
1925
UPLO = ICH( IC: IC )
1926
IF (UPLO.EQ.'U')THEN
1927
CUPLO = ' CblasUpper'
1929
CUPLO = ' CblasLower'
1937
* Generate the vector X.
1940
CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
1941
$ 0, N - 1, RESET, TRANSL )
1944
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
1948
RALPHA = DBLE( ALF( IA ) )
1949
ALPHA = DCMPLX( RALPHA, RZERO )
1950
NULL = N.LE.0.OR.RALPHA.EQ.RZERO
1952
* Generate the matrix A.
1955
CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
1956
$ AA, LDA, N - 1, N - 1, RESET, TRANSL )
1960
* Save every datum before calling the subroutine.
1974
* Call the subroutine.
1978
$ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
1982
CALL CZHER( IORDER, UPLO, N, RALPHA, XX,
1984
ELSE IF( PACKED )THEN
1986
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
1990
CALL CZHPR( IORDER, UPLO, N, RALPHA,
1994
* Check if error-exit was taken incorrectly.
1997
WRITE( NOUT, FMT = 9992 )
2002
* See what data changed inside subroutines.
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
2010
ISAME( 6 ) = LZE( AS, AA, LAA )
2012
ISAME( 6 ) = LZERES( SNAME( 8: 9 ), UPLO, N, N, AS,
2015
IF( .NOT.PACKED )THEN
2016
ISAME( 7 ) = LDAS.EQ.LDA
2019
* If data was incorrectly changed, report and return.
2023
SAME = SAME.AND.ISAME( I )
2024
IF( .NOT.ISAME( I ) )
2025
$ WRITE( NOUT, FMT = 9998 )I
2034
* Check the result column by column.
2042
Z( I ) = X( N - I + 1 )
2047
W( 1 ) = DCONJG( Z( J ) )
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,
2068
ERRMAX = MAX( ERRMAX, ERR )
2069
* If got really bad answer, report and return.
2074
* Avoid repeating tests if N.le.0.
2089
IF( ERRMAX.LT.THRESH )THEN
2090
WRITE( NOUT, FMT = 9999 )SNAME, NC
2092
WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2097
WRITE( NOUT, FMT = 9995 )J
2100
WRITE( NOUT, FMT = 9996 )SNAME
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
2110
9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
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,',
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 *',
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,
2134
* Tests ZHER2 and ZHPR2.
2136
* Auxiliary routine for test program for Level 2 Blas.
2138
* -- Written on 10-August-1987.
2139
* Richard Hanson, Sandia National Labs.
2140
* Jeremy Du Croz, NAG Central Office.
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,
2153
LOGICAL FATAL, REWI, TRACE
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,
2169
LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
2170
CHARACTER*1 UPLO, UPLOS
2173
* .. Local Arrays ..
2176
* .. External Functions ..
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
2186
* .. Common blocks ..
2187
COMMON /INFOC/INFOT, NOUTC, OK
2188
* .. Data statements ..
2190
* .. Executable Statements ..
2191
FULL = SNAME( 9: 9 ).EQ.'e'
2192
PACKED = SNAME( 9: 9 ).EQ.'p'
2193
* Define the number of arguments.
2196
ELSE IF( PACKED )THEN
2204
DO 140 IN = 1, NIDIM
2206
* Set LDA to 1 more than minimum value if room.
2210
* Skip tests if not enough room.
2214
LAA = ( N*( N + 1 ) )/2
2220
UPLO = ICH( IC: IC )
2221
IF (UPLO.EQ.'U')THEN
2222
CUPLO = ' CblasUpper'
2224
CUPLO = ' CblasLower'
2232
* Generate the vector X.
2235
CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
2236
$ 0, N - 1, RESET, TRANSL )
2239
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
2246
* Generate the vector Y.
2249
CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
2250
$ ABS( INCY ), 0, N - 1, RESET, TRANSL )
2253
YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
2258
NULL = N.LE.0.OR.ALPHA.EQ.ZERO
2260
* Generate the matrix A.
2263
CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
2264
$ NMAX, AA, LDA, N - 1, N - 1, RESET,
2269
* Save every datum before calling the subroutine.
2287
* Call the subroutine.
2291
$ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
2292
$ ALPHA, INCX, INCY, LDA
2295
CALL CZHER2( IORDER, UPLO, N, ALPHA, XX, INCX,
2296
$ YY, INCY, AA, LDA )
2297
ELSE IF( PACKED )THEN
2299
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
2303
CALL CZHPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
2307
* Check if error-exit was taken incorrectly.
2310
WRITE( NOUT, FMT = 9992 )
2315
* See what data changed inside subroutines.
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
2325
ISAME( 8 ) = LZE( AS, AA, LAA )
2327
ISAME( 8 ) = LZERES( SNAME( 8: 9 ), UPLO, N, N,
2330
IF( .NOT.PACKED )THEN
2331
ISAME( 9 ) = LDAS.EQ.LDA
2334
* If data was incorrectly changed, report and return.
2338
SAME = SAME.AND.ISAME( I )
2339
IF( .NOT.ISAME( I ) )
2340
$ WRITE( NOUT, FMT = 9998 )I
2349
* Check the result column by column.
2357
Z( I, 1 ) = X( N - I + 1 )
2366
Z( I, 2 ) = Y( N - I + 1 )
2371
W( 1 ) = ALPHA*DCONJG( Z( J, 2 ) )
2372
W( 2 ) = DCONJG( ALPHA )*DCONJG( Z( J, 1 ) )
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,
2393
ERRMAX = MAX( ERRMAX, ERR )
2394
* If got really bad answer, report and return.
2399
* Avoid repeating tests with N.le.0.
2416
IF( ERRMAX.LT.THRESH )THEN
2417
WRITE( NOUT, FMT = 9999 )SNAME, NC
2419
WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
2424
WRITE( NOUT, FMT = 9995 )J
2427
WRITE( NOUT, FMT = 9996 )SNAME
2429
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
2431
ELSE IF( PACKED )THEN
2432
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
2438
9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
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 *',
2457
SUBROUTINE ZMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
2458
$ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
2460
* Checks the results of the computational tests.
2462
* Auxiliary routine for test program for Level 2 Blas.
2464
* -- Written on 10-August-1987.
2465
* Richard Hanson, Sandia National Labs.
2466
* Jeremy Du Croz, NAG Central Office.
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
2479
* .. Array Arguments ..
2480
COMPLEX*16 A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
2481
DOUBLE PRECISION G( * )
2482
* .. Local Scalars ..
2484
DOUBLE PRECISION ERRI
2485
INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
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 ..
2495
CTRAN = TRANS.EQ.'C'
2496
IF( TRAN.OR.CTRAN )THEN
2518
* Compute expected result in YT using data in A, X and Y.
2519
* Compute gauges in G.
2528
YT( IY ) = YT( IY ) + A( J, I )*X( JX )
2529
G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2532
ELSE IF( CTRAN )THEN
2534
YT( IY ) = YT( IY ) + DCONJG( A( J, I ) )*X( JX )
2535
G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
2540
YT( IY ) = YT( IY ) + A( I, J )*X( JX )
2541
G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
2545
YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
2546
G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) )
2550
* Compute the error ratio for this result.
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 )
2561
* If the loop completes, all results are at least half accurate.
2564
* Report fatal error.
2567
WRITE( NOUT, FMT = 9999 )
2570
WRITE( NOUT, FMT = 9998 )I, YT( I ),
2571
$ YY( 1 + ( I - 1 )*ABS( INCY ) )
2573
WRITE( NOUT, FMT = 9998 )I,
2574
$ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I )
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, ')' ) )
2589
LOGICAL FUNCTION LZE( RI, RJ, LR )
2591
* Tests if two arrays are identical.
2593
* Auxiliary routine for test program for Level 2 Blas.
2595
* -- Written on 10-August-1987.
2596
* Richard Hanson, Sandia National Labs.
2597
* Jeremy Du Croz, NAG Central Office.
2599
* .. Scalar Arguments ..
2601
* .. Array Arguments ..
2602
COMPLEX*16 RI( * ), RJ( * )
2603
* .. Local Scalars ..
2605
* .. Executable Statements ..
2607
IF( RI( I ).NE.RJ( I ) )
2619
LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
2621
* Tests if selected elements in two arrays are equal.
2623
* TYPE is 'ge', 'he' or 'hp'.
2625
* Auxiliary routine for test program for Level 2 Blas.
2627
* -- Written on 10-August-1987.
2628
* Richard Hanson, Sandia National Labs.
2629
* Jeremy Du Croz, NAG Central Office.
2631
* .. Scalar Arguments ..
2635
* .. Array Arguments ..
2636
COMPLEX*16 AA( LDA, * ), AS( LDA, * )
2637
* .. Local Scalars ..
2638
INTEGER I, IBEG, IEND, J
2640
* .. Executable Statements ..
2642
IF( TYPE.EQ.'ge' )THEN
2644
DO 10 I = M + 1, LDA
2645
IF( AA( I, J ).NE.AS( I, J ) )
2649
ELSE IF( TYPE.EQ.'he' )THEN
2658
DO 30 I = 1, IBEG - 1
2659
IF( AA( I, J ).NE.AS( I, J ) )
2662
DO 40 I = IEND + 1, LDA
2663
IF( AA( I, J ).NE.AS( I, J ) )
2679
COMPLEX*16 FUNCTION ZBEG( RESET )
2681
* Generates complex numbers as pairs of random numbers uniformly
2682
* distributed between -0.5 and 0.5.
2684
* Auxiliary routine for test program for Level 2 Blas.
2686
* -- Written on 10-August-1987.
2687
* Richard Hanson, Sandia National Labs.
2688
* Jeremy Du Croz, NAG Central Office.
2690
* .. Scalar Arguments ..
2692
* .. Local Scalars ..
2693
INTEGER I, IC, J, MI, MJ
2694
* .. Save statement ..
2695
SAVE I, IC, J, MI, MJ
2696
* .. Intrinsic Functions ..
2698
* .. Executable Statements ..
2700
* Initialize local variables.
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
2719
I = I - 1000*( I/1000 )
2720
J = J - 1000*( J/1000 )
2725
ZBEG = DCMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
2731
DOUBLE PRECISION FUNCTION DDIFF( X, Y )
2733
* Auxiliary routine for test program for Level 2 Blas.
2735
* -- Written on 10-August-1987.
2736
* Richard Hanson, Sandia National Labs.
2738
* .. Scalar Arguments ..
2739
DOUBLE PRECISION X, Y
2740
* .. Executable Statements ..
2747
SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
2748
$ KU, RESET, TRANSL )
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.
2755
* TYPE is 'ge', 'gb', 'he', 'hb', 'hp', 'tr', 'tb' OR 'tp'.
2757
* Auxiliary routine for test program for Level 2 Blas.
2759
* -- Written on 10-August-1987.
2760
* Richard Hanson, Sandia National Labs.
2761
* Jeremy Du Croz, NAG Central Office.
2764
COMPLEX*16 ZERO, ONE
2765
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
2766
$ ONE = ( 1.0D0, 0.0D0 ) )
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 ..
2775
INTEGER KL, KU, LDA, M, N, NMAX
2777
CHARACTER*1 DIAG, UPLO
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 ..
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'
2797
* Generate data in array A.
2801
IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
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
2811
A( J, I ) = DCONJG( A( I, J ) )
2819
$ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
2821
$ A( J, J ) = A( J, J ) + ONE
2826
* Store elements in array AS in data structure required by routine.
2828
IF( TYPE.EQ.'ge' )THEN
2831
AA( I + ( J - 1 )*LDA ) = A( I, J )
2833
DO 40 I = M + 1, LDA
2834
AA( I + ( J - 1 )*LDA ) = ROGUE
2837
ELSE IF( TYPE.EQ.'gb' )THEN
2839
DO 60 I1 = 1, KU + 1 - J
2840
AA( I1 + ( J - 1 )*LDA ) = ROGUE
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 )
2846
AA( I3 + ( J - 1 )*LDA ) = ROGUE
2849
ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'tr' )THEN
2866
DO 100 I = 1, IBEG - 1
2867
AA( I + ( J - 1 )*LDA ) = ROGUE
2869
DO 110 I = IBEG, IEND
2870
AA( I + ( J - 1 )*LDA ) = A( I, J )
2872
DO 120 I = IEND + 1, LDA
2873
AA( I + ( J - 1 )*LDA ) = ROGUE
2876
JJ = J + ( J - 1 )*LDA
2877
AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
2880
ELSE IF( TYPE.EQ.'hb'.OR.TYPE.EQ.'tb' )THEN
2884
IBEG = MAX( 1, KL + 2 - J )
2897
IEND = MIN( KL + 1, 1 + M - J )
2899
DO 140 I = 1, IBEG - 1
2900
AA( I + ( J - 1 )*LDA ) = ROGUE
2902
DO 150 I = IBEG, IEND
2903
AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
2905
DO 160 I = IEND + 1, LDA
2906
AA( I + ( J - 1 )*LDA ) = ROGUE
2909
JJ = KK + ( J - 1 )*LDA
2910
AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
2913
ELSE IF( TYPE.EQ.'hp'.OR.TYPE.EQ.'tp' )THEN
2923
DO 180 I = IBEG, IEND
2925
AA( IOFF ) = A( I, J )
2928
$ AA( IOFF ) = ROGUE
2930
$ AA( IOFF ) = DCMPLX( DBLE( AA( IOFF ) ), RROGUE )