00001 SUBROUTINE SDRVSY( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
00002 $ A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
00003 $ NOUT )
00004
00005
00006
00007
00008
00009
00010 LOGICAL TSTERR
00011 INTEGER NMAX, NN, NOUT, NRHS
00012 REAL THRESH
00013
00014
00015 LOGICAL DOTYPE( * )
00016 INTEGER IWORK( * ), NVAL( * )
00017 REAL A( * ), AFAC( * ), AINV( * ), B( * ),
00018 $ RWORK( * ), WORK( * ), X( * ), XACT( * )
00019
00020
00021
00022
00023
00024
00025
00026
00027
00028
00029
00030
00031
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00071
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00080
00081
00082
00083
00084 REAL ONE, ZERO
00085 PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
00086 INTEGER NTYPES, NTESTS
00087 PARAMETER ( NTYPES = 10, NTESTS = 6 )
00088 INTEGER NFACT
00089 PARAMETER ( NFACT = 2 )
00090
00091
00092 LOGICAL ZEROT
00093 CHARACTER DIST, EQUED, FACT, TYPE, UPLO, XTYPE
00094 CHARACTER*3 PATH
00095 INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
00096 $ IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N,
00097 $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT,
00098 $ N_ERR_BNDS
00099 REAL AINVNM, ANORM, CNDNUM, RCOND, RCONDC,
00100 $ RPVGRW_SVXX
00101
00102
00103 CHARACTER FACTS( NFACT ), UPLOS( 2 )
00104 INTEGER ISEED( 4 ), ISEEDY( 4 )
00105 REAL RESULT( NTESTS ), BERR( NRHS ),
00106 $ ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
00107
00108
00109 REAL SGET06, SLANSY
00110 EXTERNAL SGET06, SLANSY
00111
00112
00113 EXTERNAL ALADHD, ALAERH, ALASVM, SERRVX, SGET04, SLACPY,
00114 $ SLARHS, SLASET, SLATB4, SLATMS, SPOT02, SPOT05,
00115 $ SSYSV, SSYSVX, SSYT01, SSYTRF, SSYTRI2, XLAENV,
00116 $ SSYSVXX
00117
00118
00119 LOGICAL LERR, OK
00120 CHARACTER*32 SRNAMT
00121 INTEGER INFOT, NUNIT
00122
00123
00124 COMMON / INFOC / INFOT, NUNIT, OK, LERR
00125 COMMON / SRNAMC / SRNAMT
00126
00127
00128 INTRINSIC MAX, MIN
00129
00130
00131 DATA ISEEDY / 1988, 1989, 1990, 1991 /
00132 DATA UPLOS / 'U', 'L' / , FACTS / 'F', 'N' /
00133
00134
00135
00136
00137
00138 PATH( 1: 1 ) = 'Single precision'
00139 PATH( 2: 3 ) = 'SY'
00140 NRUN = 0
00141 NFAIL = 0
00142 NERRS = 0
00143 DO 10 I = 1, 4
00144 ISEED( I ) = ISEEDY( I )
00145 10 CONTINUE
00146 LWORK = MAX( 2*NMAX, NMAX*NRHS )
00147
00148
00149
00150 IF( TSTERR )
00151 $ CALL SERRVX( PATH, NOUT )
00152 INFOT = 0
00153
00154
00155
00156 NB = 1
00157 NBMIN = 2
00158 CALL XLAENV( 1, NB )
00159 CALL XLAENV( 2, NBMIN )
00160
00161
00162
00163 DO 180 IN = 1, NN
00164 N = NVAL( IN )
00165 LDA = MAX( N, 1 )
00166 XTYPE = 'N'
00167 NIMAT = NTYPES
00168 IF( N.LE.0 )
00169 $ NIMAT = 1
00170
00171 DO 170 IMAT = 1, NIMAT
00172
00173
00174
00175 IF( .NOT.DOTYPE( IMAT ) )
00176 $ GO TO 170
00177
00178
00179
00180 ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
00181 IF( ZEROT .AND. N.LT.IMAT-2 )
00182 $ GO TO 170
00183
00184
00185
00186 DO 160 IUPLO = 1, 2
00187 UPLO = UPLOS( IUPLO )
00188
00189
00190
00191
00192 CALL SLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
00193 $ CNDNUM, DIST )
00194
00195 SRNAMT = 'SLATMS'
00196 CALL SLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
00197 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
00198 $ INFO )
00199
00200
00201
00202 IF( INFO.NE.0 ) THEN
00203 CALL ALAERH( PATH, 'SLATMS', INFO, 0, UPLO, N, N, -1,
00204 $ -1, -1, IMAT, NFAIL, NERRS, NOUT )
00205 GO TO 160
00206 END IF
00207
00208
00209
00210
00211 IF( ZEROT ) THEN
00212 IF( IMAT.EQ.3 ) THEN
00213 IZERO = 1
00214 ELSE IF( IMAT.EQ.4 ) THEN
00215 IZERO = N
00216 ELSE
00217 IZERO = N / 2 + 1
00218 END IF
00219
00220 IF( IMAT.LT.6 ) THEN
00221
00222
00223
00224 IF( IUPLO.EQ.1 ) THEN
00225 IOFF = ( IZERO-1 )*LDA
00226 DO 20 I = 1, IZERO - 1
00227 A( IOFF+I ) = ZERO
00228 20 CONTINUE
00229 IOFF = IOFF + IZERO
00230 DO 30 I = IZERO, N
00231 A( IOFF ) = ZERO
00232 IOFF = IOFF + LDA
00233 30 CONTINUE
00234 ELSE
00235 IOFF = IZERO
00236 DO 40 I = 1, IZERO - 1
00237 A( IOFF ) = ZERO
00238 IOFF = IOFF + LDA
00239 40 CONTINUE
00240 IOFF = IOFF - IZERO
00241 DO 50 I = IZERO, N
00242 A( IOFF+I ) = ZERO
00243 50 CONTINUE
00244 END IF
00245 ELSE
00246 IOFF = 0
00247 IF( IUPLO.EQ.1 ) THEN
00248
00249
00250
00251 DO 70 J = 1, N
00252 I2 = MIN( J, IZERO )
00253 DO 60 I = 1, I2
00254 A( IOFF+I ) = ZERO
00255 60 CONTINUE
00256 IOFF = IOFF + LDA
00257 70 CONTINUE
00258 ELSE
00259
00260
00261
00262 DO 90 J = 1, N
00263 I1 = MAX( J, IZERO )
00264 DO 80 I = I1, N
00265 A( IOFF+I ) = ZERO
00266 80 CONTINUE
00267 IOFF = IOFF + LDA
00268 90 CONTINUE
00269 END IF
00270 END IF
00271 ELSE
00272 IZERO = 0
00273 END IF
00274
00275 DO 150 IFACT = 1, NFACT
00276
00277
00278
00279 FACT = FACTS( IFACT )
00280
00281
00282
00283
00284 IF( ZEROT ) THEN
00285 IF( IFACT.EQ.1 )
00286 $ GO TO 150
00287 RCONDC = ZERO
00288
00289 ELSE IF( IFACT.EQ.1 ) THEN
00290
00291
00292
00293 ANORM = SLANSY( '1', UPLO, N, A, LDA, RWORK )
00294
00295
00296
00297 CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
00298 CALL SSYTRF( UPLO, N, AFAC, LDA, IWORK, WORK,
00299 $ LWORK, INFO )
00300
00301
00302
00303 CALL SLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
00304 LWORK = (N+NB+1)*(NB+3)
00305 CALL SSYTRI2( UPLO, N, AINV, LDA, IWORK, WORK,
00306 $ LWORK, INFO )
00307 AINVNM = SLANSY( '1', UPLO, N, AINV, LDA, RWORK )
00308
00309
00310
00311 IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
00312 RCONDC = ONE
00313 ELSE
00314 RCONDC = ( ONE / ANORM ) / AINVNM
00315 END IF
00316 END IF
00317
00318
00319
00320 SRNAMT = 'SLARHS'
00321 CALL SLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
00322 $ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
00323 $ INFO )
00324 XTYPE = 'C'
00325
00326
00327
00328 IF( IFACT.EQ.2 ) THEN
00329 CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
00330 CALL SLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
00331
00332
00333
00334 SRNAMT = 'SSYSV '
00335 CALL SSYSV( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
00336 $ LDA, WORK, LWORK, INFO )
00337
00338
00339
00340
00341 K = IZERO
00342 IF( K.GT.0 ) THEN
00343 100 CONTINUE
00344 IF( IWORK( K ).LT.0 ) THEN
00345 IF( IWORK( K ).NE.-K ) THEN
00346 K = -IWORK( K )
00347 GO TO 100
00348 END IF
00349 ELSE IF( IWORK( K ).NE.K ) THEN
00350 K = IWORK( K )
00351 GO TO 100
00352 END IF
00353 END IF
00354
00355
00356
00357 IF( INFO.NE.K ) THEN
00358 CALL ALAERH( PATH, 'SSYSV ', INFO, K, UPLO, N,
00359 $ N, -1, -1, NRHS, IMAT, NFAIL,
00360 $ NERRS, NOUT )
00361 GO TO 120
00362 ELSE IF( INFO.NE.0 ) THEN
00363 GO TO 120
00364 END IF
00365
00366
00367
00368
00369 CALL SSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
00370 $ AINV, LDA, RWORK, RESULT( 1 ) )
00371
00372
00373
00374 CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
00375 CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
00376 $ LDA, RWORK, RESULT( 2 ) )
00377
00378
00379
00380 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
00381 $ RESULT( 3 ) )
00382 NT = 3
00383
00384
00385
00386
00387 DO 110 K = 1, NT
00388 IF( RESULT( K ).GE.THRESH ) THEN
00389 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00390 $ CALL ALADHD( NOUT, PATH )
00391 WRITE( NOUT, FMT = 9999 )'SSYSV ', UPLO, N,
00392 $ IMAT, K, RESULT( K )
00393 NFAIL = NFAIL + 1
00394 END IF
00395 110 CONTINUE
00396 NRUN = NRUN + NT
00397 120 CONTINUE
00398 END IF
00399
00400
00401
00402 IF( IFACT.EQ.2 )
00403 $ CALL SLASET( UPLO, N, N, ZERO, ZERO, AFAC, LDA )
00404 CALL SLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDA )
00405
00406
00407
00408
00409 SRNAMT = 'SSYSVX'
00410 CALL SSYSVX( FACT, UPLO, N, NRHS, A, LDA, AFAC, LDA,
00411 $ IWORK, B, LDA, X, LDA, RCOND, RWORK,
00412 $ RWORK( NRHS+1 ), WORK, LWORK,
00413 $ IWORK( N+1 ), INFO )
00414
00415
00416
00417
00418 K = IZERO
00419 IF( K.GT.0 ) THEN
00420 130 CONTINUE
00421 IF( IWORK( K ).LT.0 ) THEN
00422 IF( IWORK( K ).NE.-K ) THEN
00423 K = -IWORK( K )
00424 GO TO 130
00425 END IF
00426 ELSE IF( IWORK( K ).NE.K ) THEN
00427 K = IWORK( K )
00428 GO TO 130
00429 END IF
00430 END IF
00431
00432
00433
00434 IF( INFO.NE.K ) THEN
00435 CALL ALAERH( PATH, 'SSYSVX', INFO, K, FACT // UPLO,
00436 $ N, N, -1, -1, NRHS, IMAT, NFAIL,
00437 $ NERRS, NOUT )
00438 GO TO 150
00439 END IF
00440
00441 IF( INFO.EQ.0 ) THEN
00442 IF( IFACT.GE.2 ) THEN
00443
00444
00445
00446
00447 CALL SSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
00448 $ AINV, LDA, RWORK( 2*NRHS+1 ),
00449 $ RESULT( 1 ) )
00450 K1 = 1
00451 ELSE
00452 K1 = 2
00453 END IF
00454
00455
00456
00457 CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
00458 CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
00459 $ LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
00460
00461
00462
00463 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
00464 $ RESULT( 3 ) )
00465
00466
00467
00468 CALL SPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
00469 $ XACT, LDA, RWORK, RWORK( NRHS+1 ),
00470 $ RESULT( 4 ) )
00471 ELSE
00472 K1 = 6
00473 END IF
00474
00475
00476
00477
00478 RESULT( 6 ) = SGET06( RCOND, RCONDC )
00479
00480
00481
00482
00483 DO 140 K = K1, 6
00484 IF( RESULT( K ).GE.THRESH ) THEN
00485 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00486 $ CALL ALADHD( NOUT, PATH )
00487 WRITE( NOUT, FMT = 9998 )'SSYSVX', FACT, UPLO,
00488 $ N, IMAT, K, RESULT( K )
00489 NFAIL = NFAIL + 1
00490 END IF
00491 140 CONTINUE
00492 NRUN = NRUN + 7 - K1
00493
00494
00495
00496
00497
00498 IF( IFACT.EQ.2 )
00499 $ CALL SLASET( UPLO, N, N, ZERO, ZERO, AFAC, LDA )
00500 CALL SLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDA )
00501
00502
00503
00504
00505 SRNAMT = 'SSYSVXX'
00506 N_ERR_BNDS = 3
00507 EQUED = 'N'
00508 CALL SSYSVXX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
00509 $ LDA, IWORK, EQUED, WORK( N+1 ), B, LDA, X,
00510 $ LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
00511 $ ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
00512 $ IWORK( N+1 ), INFO )
00513
00514
00515
00516
00517 K = IZERO
00518 IF( K.GT.0 ) THEN
00519 135 CONTINUE
00520 IF( IWORK( K ).LT.0 ) THEN
00521 IF( IWORK( K ).NE.-K ) THEN
00522 K = -IWORK( K )
00523 GO TO 135
00524 END IF
00525 ELSE IF( IWORK( K ).NE.K ) THEN
00526 K = IWORK( K )
00527 GO TO 135
00528 END IF
00529 END IF
00530
00531
00532
00533 IF( INFO.NE.K ) THEN
00534 CALL ALAERH( PATH, 'SSYSVXX', INFO, K,
00535 $ FACT // UPLO, N, N, -1, -1, NRHS, IMAT, NFAIL,
00536 $ NERRS, NOUT )
00537 GO TO 150
00538 END IF
00539
00540 IF( INFO.EQ.0 ) THEN
00541 IF( IFACT.GE.2 ) THEN
00542
00543
00544
00545
00546 CALL SSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
00547 $ AINV, LDA, RWORK(2*NRHS+1),
00548 $ RESULT( 1 ) )
00549 K1 = 1
00550 ELSE
00551 K1 = 2
00552 END IF
00553
00554
00555
00556 CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
00557 CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
00558 $ LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
00559
00560
00561
00562 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
00563 $ RESULT( 3 ) )
00564
00565
00566
00567 CALL SPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
00568 $ XACT, LDA, RWORK, RWORK( NRHS+1 ),
00569 $ RESULT( 4 ) )
00570 ELSE
00571 K1 = 6
00572 END IF
00573
00574
00575
00576
00577 RESULT( 6 ) = SGET06( RCOND, RCONDC )
00578
00579
00580
00581
00582 DO 85 K = K1, 6
00583 IF( RESULT( K ).GE.THRESH ) THEN
00584 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00585 $ CALL ALADHD( NOUT, PATH )
00586 WRITE( NOUT, FMT = 9998 )'SSYSVXX',
00587 $ FACT, UPLO, N, IMAT, K,
00588 $ RESULT( K )
00589 NFAIL = NFAIL + 1
00590 END IF
00591 85 CONTINUE
00592 NRUN = NRUN + 7 - K1
00593
00594 150 CONTINUE
00595
00596 160 CONTINUE
00597 170 CONTINUE
00598 180 CONTINUE
00599
00600
00601
00602 CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
00603
00604
00605
00606
00607 CALL SEBCHVXX(THRESH, PATH)
00608
00609 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2,
00610 $ ', test ', I2, ', ratio =', G12.5 )
00611 9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N =', I5,
00612 $ ', type ', I2, ', test ', I2, ', ratio =', G12.5 )
00613 RETURN
00614
00615
00616
00617 END