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( 11: 11 ).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 )