1*> \brief \b ZDRVHE_AA 2* 3* =========== DOCUMENTATION =========== 4* 5* Online html documentation available at 6* http://www.netlib.org/lapack/explore-html/ 7* 8* Definition: 9* =========== 10* 11* SUBROUTINE ZDRVHE_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, 12* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, 13* NOUT ) 14* 15* .. Scalar Arguments .. 16* LOGICAL TSTERR 17* INTEGER NMAX, NN, NOUT, NRHS 18* DOUBLE PRECISION THRESH 19* .. 20* .. Array Arguments .. 21* LOGICAL DOTYPE( * ) 22* INTEGER IWORK( * ), NVAL( * ) 23* DOUBLE PRECISION RWORK( * ) 24* COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ), 25* $ WORK( * ), X( * ), XACT( * ) 26* .. 27* 28* 29*> \par Purpose: 30* ============= 31*> 32*> \verbatim 33*> 34*> ZDRVHE_AA tests the driver routine ZHESV_AA. 35*> \endverbatim 36* 37* Arguments: 38* ========== 39* 40*> \param[in] DOTYPE 41*> \verbatim 42*> DOTYPE is LOGICAL array, dimension (NTYPES) 43*> The matrix types to be used for testing. Matrices of type j 44*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = 45*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. 46*> \endverbatim 47*> 48*> \param[in] NN 49*> \verbatim 50*> NN is INTEGER 51*> The number of values of N contained in the vector NVAL. 52*> \endverbatim 53*> 54*> \param[in] NVAL 55*> \verbatim 56*> NVAL is INTEGER array, dimension (NN) 57*> The values of the matrix dimension N. 58*> \endverbatim 59*> 60*> \param[in] NRHS 61*> \verbatim 62*> NRHS is INTEGER 63*> The number of right hand side vectors to be generated for 64*> each linear system. 65*> \endverbatim 66*> 67*> \param[in] THRESH 68*> \verbatim 69*> THRESH is DOUBLE PRECISION 70*> The threshold value for the test ratios. A result is 71*> included in the output file if RESULT >= THRESH. To have 72*> every test ratio printed, use THRESH = 0. 73*> \endverbatim 74*> 75*> \param[in] TSTERR 76*> \verbatim 77*> TSTERR is LOGICAL 78*> Flag that indicates whether error exits are to be tested. 79*> \endverbatim 80*> 81*> \param[in] NMAX 82*> \verbatim 83*> NMAX is INTEGER 84*> The maximum value permitted for N, used in dimensioning the 85*> work arrays. 86*> \endverbatim 87*> 88*> \param[out] A 89*> \verbatim 90*> A is COMPLEX*16 array, dimension (NMAX*NMAX) 91*> \endverbatim 92*> 93*> \param[out] AFAC 94*> \verbatim 95*> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX) 96*> \endverbatim 97*> 98*> \param[out] AINV 99*> \verbatim 100*> AINV is COMPLEX*16 array, dimension (NMAX*NMAX) 101*> \endverbatim 102*> 103*> \param[out] B 104*> \verbatim 105*> B is COMPLEX*16 array, dimension (NMAX*NRHS) 106*> \endverbatim 107*> 108*> \param[out] X 109*> \verbatim 110*> X is COMPLEX*16 array, dimension (NMAX*NRHS) 111*> \endverbatim 112*> 113*> \param[out] XACT 114*> \verbatim 115*> XACT is COMPLEX*16 array, dimension (NMAX*NRHS) 116*> \endverbatim 117*> 118*> \param[out] WORK 119*> \verbatim 120*> WORK is COMPLEX*16 array, dimension (NMAX*max(2,NRHS)) 121*> \endverbatim 122*> 123*> \param[out] RWORK 124*> \verbatim 125*> RWORK is DOUBLE PRECISION array, dimension (NMAX+2*NRHS) 126*> \endverbatim 127*> 128*> \param[out] IWORK 129*> \verbatim 130*> IWORK is INTEGER array, dimension (NMAX) 131*> \endverbatim 132*> 133*> \param[in] NOUT 134*> \verbatim 135*> NOUT is INTEGER 136*> The unit number for output. 137*> \endverbatim 138* 139* Authors: 140* ======== 141* 142*> \author Univ. of Tennessee 143*> \author Univ. of California Berkeley 144*> \author Univ. of Colorado Denver 145*> \author NAG Ltd. 146* 147*> \ingroup complex16_lin 148* 149* ===================================================================== 150 SUBROUTINE ZDRVHE_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, 151 $ NMAX, A, AFAC, AINV, B, X, XACT, WORK, 152 $ RWORK, IWORK, NOUT ) 153* 154* -- LAPACK test routine -- 155* -- LAPACK is a software package provided by Univ. of Tennessee, -- 156* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 157* 158* .. Scalar Arguments .. 159 LOGICAL TSTERR 160 INTEGER NMAX, NN, NOUT, NRHS 161 DOUBLE PRECISION THRESH 162* .. 163* .. Array Arguments .. 164 LOGICAL DOTYPE( * ) 165 INTEGER IWORK( * ), NVAL( * ) 166 DOUBLE PRECISION RWORK( * ) 167 COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ), 168 $ WORK( * ), X( * ), XACT( * ) 169* .. 170* 171* ===================================================================== 172* 173* .. Parameters .. 174 DOUBLE PRECISION ONE, ZERO 175 PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 ) 176 INTEGER NTYPES, NTESTS 177 PARAMETER ( NTYPES = 10, NTESTS = 3 ) 178 INTEGER NFACT 179 PARAMETER ( NFACT = 2 ) 180* .. 181* .. Local Scalars .. 182 LOGICAL ZEROT 183 CHARACTER DIST, FACT, TYPE, UPLO, XTYPE 184 CHARACTER*3 MATPATH, PATH 185 INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO, 186 $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N, 187 $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT 188 DOUBLE PRECISION ANORM, CNDNUM 189* .. 190* .. Local Arrays .. 191 CHARACTER FACTS( NFACT ), UPLOS( 2 ) 192 INTEGER ISEED( 4 ), ISEEDY( 4 ) 193 DOUBLE PRECISION RESULT( NTESTS ) 194* .. 195* .. External Functions .. 196 DOUBLE PRECISION DGET06, ZLANHE 197 EXTERNAL DGET06, ZLANHE 198* .. 199* .. External Subroutines .. 200 EXTERNAL ALADHD, ALAERH, ALASVM, XLAENV, ZERRVX, ZGET04, 201 $ ZHESV_AA, ZHET01_AA, ZHETRF_AA, 202 $ ZHETRI2, ZLACPY, ZLAIPD, ZLARHS, ZLATB4, 203 $ ZLATMS, ZPOT02 204* .. 205* .. Scalars in Common .. 206 LOGICAL LERR, OK 207 CHARACTER*32 SRNAMT 208 INTEGER INFOT, NUNIT 209* .. 210* .. Common blocks .. 211 COMMON / INFOC / INFOT, NUNIT, OK, LERR 212 COMMON / SRNAMC / SRNAMT 213* .. 214* .. Intrinsic Functions .. 215 INTRINSIC DCMPLX, MAX, MIN 216* .. 217* .. Data statements .. 218 DATA ISEEDY / 1988, 1989, 1990, 1991 / 219 DATA UPLOS / 'U', 'L' / , FACTS / 'F', 'N' / 220* .. 221* .. Executable Statements .. 222* 223* Initialize constants and the random number seed. 224* 225* Test path 226* 227 PATH( 1: 1 ) = 'Zomplex precision' 228 PATH( 2: 3 ) = 'HA' 229* 230* Path to generate matrices 231* 232 MATPATH( 1: 1 ) = 'Zomplex precision' 233 MATPATH( 2: 3 ) = 'HE' 234* 235 NRUN = 0 236 NFAIL = 0 237 NERRS = 0 238 DO 10 I = 1, 4 239 ISEED( I ) = ISEEDY( I ) 240 10 CONTINUE 241* 242* Test the error exits 243* 244 IF( TSTERR ) 245 $ CALL ZERRVX( PATH, NOUT ) 246 INFOT = 0 247* 248* Set the block size and minimum block size for testing. 249* 250 NB = 1 251 NBMIN = 2 252 CALL XLAENV( 1, NB ) 253 CALL XLAENV( 2, NBMIN ) 254* 255* Do for each value of N in NVAL 256* 257 DO 180 IN = 1, NN 258 N = NVAL( IN ) 259 LWORK = MAX( 3*N-2, N*(1+NB) ) 260 LWORK = MAX( LWORK, 1 ) 261 LDA = MAX( N, 1 ) 262 XTYPE = 'N' 263 NIMAT = NTYPES 264 IF( N.LE.0 ) 265 $ NIMAT = 1 266* 267 DO 170 IMAT = 1, NIMAT 268* 269* Do the tests only if DOTYPE( IMAT ) is true. 270* 271 IF( .NOT.DOTYPE( IMAT ) ) 272 $ GO TO 170 273* 274* Skip types 3, 4, 5, or 6 if the matrix size is too small. 275* 276 ZEROT = IMAT.GE.3 .AND. IMAT.LE.6 277 IF( ZEROT .AND. N.LT.IMAT-2 ) 278 $ GO TO 170 279* 280* Do first for UPLO = 'U', then for UPLO = 'L' 281* 282 DO 160 IUPLO = 1, 2 283 UPLO = UPLOS( IUPLO ) 284* 285* Begin generate the test matrix A. 286* 287* Set up parameters with ZLATB4 and generate a test matrix 288* with ZLATMS. 289* 290 CALL ZLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, ANORM, 291 $ MODE, CNDNUM, DIST ) 292* 293 SRNAMT = 'ZLATMS' 294 CALL ZLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, 295 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK, 296 $ INFO ) 297* 298* Check error code from ZLATMS. 299* 300 IF( INFO.NE.0 ) THEN 301 CALL ALAERH( PATH, 'ZLATMS', INFO, 0, UPLO, N, N, -1, 302 $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) 303 GO TO 160 304 END IF 305* 306* For types 3-6, zero one or more rows and columns of the 307* matrix to test that INFO is returned correctly. 308* 309 IF( ZEROT ) THEN 310 IF( IMAT.EQ.3 ) THEN 311 IZERO = 1 312 ELSE IF( IMAT.EQ.4 ) THEN 313 IZERO = N 314 ELSE 315 IZERO = N / 2 + 1 316 END IF 317* 318 IF( IMAT.LT.6 ) THEN 319* 320* Set row and column IZERO to zero. 321* 322 IF( IUPLO.EQ.1 ) THEN 323 IOFF = ( IZERO-1 )*LDA 324 DO 20 I = 1, IZERO - 1 325 A( IOFF+I ) = ZERO 326 20 CONTINUE 327 IOFF = IOFF + IZERO 328 DO 30 I = IZERO, N 329 A( IOFF ) = ZERO 330 IOFF = IOFF + LDA 331 30 CONTINUE 332 ELSE 333 IOFF = IZERO 334 DO 40 I = 1, IZERO - 1 335 A( IOFF ) = ZERO 336 IOFF = IOFF + LDA 337 40 CONTINUE 338 IOFF = IOFF - IZERO 339 DO 50 I = IZERO, N 340 A( IOFF+I ) = ZERO 341 50 CONTINUE 342 END IF 343 ELSE 344 IOFF = 0 345 IF( IUPLO.EQ.1 ) THEN 346* 347* Set the first IZERO rows and columns to zero. 348* 349 DO 70 J = 1, N 350 I2 = MIN( J, IZERO ) 351 DO 60 I = 1, I2 352 A( IOFF+I ) = ZERO 353 60 CONTINUE 354 IOFF = IOFF + LDA 355 70 CONTINUE 356 IZERO = 1 357 ELSE 358* 359* Set the last IZERO rows and columns to zero. 360* 361 DO 90 J = 1, N 362 I1 = MAX( J, IZERO ) 363 DO 80 I = I1, N 364 A( IOFF+I ) = ZERO 365 80 CONTINUE 366 IOFF = IOFF + LDA 367 90 CONTINUE 368 END IF 369 END IF 370 ELSE 371 IZERO = 0 372 END IF 373* 374* Set the imaginary part of the diagonals. 375* 376 CALL ZLAIPD( N, A, LDA+1, 0 ) 377* 378 DO 150 IFACT = 1, NFACT 379* 380* Do first for FACT = 'F', then for other values. 381* 382 FACT = FACTS( IFACT ) 383* 384* Form an exact solution and set the right hand side. 385* 386 SRNAMT = 'ZLARHS' 387 CALL ZLARHS( MATPATH, XTYPE, UPLO, ' ', N, N, KL, KU, 388 $ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED, 389 $ INFO ) 390 XTYPE = 'C' 391* 392* --- Test ZHESV_AA --- 393* 394 IF( IFACT.EQ.2 ) THEN 395 CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) 396 CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) 397* 398* Factor the matrix and solve the system using ZHESV. 399* 400 SRNAMT = 'ZHESV_AA ' 401 CALL ZHESV_AA( UPLO, N, NRHS, AFAC, LDA, IWORK, 402 $ X, LDA, WORK, LWORK, INFO ) 403* 404* Adjust the expected value of INFO to account for 405* pivoting. 406* 407 IF( IZERO.GT.0 ) THEN 408 J = 1 409 K = IZERO 410 100 CONTINUE 411 IF( J.EQ.K ) THEN 412 K = IWORK( J ) 413 ELSE IF( IWORK( J ).EQ.K ) THEN 414 K = J 415 END IF 416 IF( J.LT.K ) THEN 417 J = J + 1 418 GO TO 100 419 END IF 420 ELSE 421 K = 0 422 END IF 423* 424* Check error code from ZHESV . 425* 426 IF( INFO.NE.K ) THEN 427 CALL ALAERH( PATH, 'ZHESV_AA', INFO, K, UPLO, N, 428 $ N, -1, -1, NRHS, IMAT, NFAIL, 429 $ NERRS, NOUT ) 430 GO TO 120 431 ELSE IF( INFO.NE.0 ) THEN 432 GO TO 120 433 END IF 434* 435* Reconstruct matrix from factors and compute 436* residual. 437* 438 CALL ZHET01_AA( UPLO, N, A, LDA, AFAC, LDA, 439 $ IWORK, AINV, LDA, RWORK, 440 $ RESULT( 1 ) ) 441* 442* Compute residual of the computed solution. 443* 444 CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) 445 CALL ZPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, 446 $ LDA, RWORK, RESULT( 2 ) ) 447 NT = 2 448* 449* Print information about the tests that did not pass 450* the threshold. 451* 452 DO 110 K = 1, NT 453 IF( RESULT( K ).GE.THRESH ) THEN 454 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 455 $ CALL ALADHD( NOUT, PATH ) 456 WRITE( NOUT, FMT = 9999 )'ZHESV_AA', UPLO, N, 457 $ IMAT, K, RESULT( K ) 458 NFAIL = NFAIL + 1 459 END IF 460 110 CONTINUE 461 NRUN = NRUN + NT 462 120 CONTINUE 463 END IF 464* 465 150 CONTINUE 466* 467 160 CONTINUE 468 170 CONTINUE 469 180 CONTINUE 470* 471* Print a summary of the results. 472* 473 CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS ) 474* 475 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2, 476 $ ', test ', I2, ', ratio =', G12.5 ) 477 RETURN 478* 479* End of ZDRVHE_AA 480* 481 END 482