1*> \brief \b CDRVHE_ROOK 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 CDRVHE_ROOK( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, 12* NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, 13* IWORK, NOUT ) 14* 15* .. Scalar Arguments .. 16* LOGICAL TSTERR 17* INTEGER NMAX, NN, NOUT, NRHS 18* REAL THRESH 19* .. 20* .. Array Arguments .. 21* LOGICAL DOTYPE( * ) 22* INTEGER IWORK( * ), NVAL( * ) 23* REAL RWORK( * ) 24* COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ), 25* $ WORK( * ), X( * ), XACT( * ) 26* .. 27* 28* 29*> \par Purpose: 30* ============= 31*> 32*> \verbatim 33*> 34*> CDRVHE_ROOK tests the driver routines CHESV_ROOK. 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 REAL 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 array, dimension (NMAX*NMAX) 91*> \endverbatim 92*> 93*> \param[out] AFAC 94*> \verbatim 95*> AFAC is COMPLEX array, dimension (NMAX*NMAX) 96*> \endverbatim 97*> 98*> \param[out] AINV 99*> \verbatim 100*> AINV is COMPLEX array, dimension (NMAX*NMAX) 101*> \endverbatim 102*> 103*> \param[out] B 104*> \verbatim 105*> B is COMPLEX array, dimension (NMAX*NRHS) 106*> \endverbatim 107*> 108*> \param[out] X 109*> \verbatim 110*> X is COMPLEX array, dimension (NMAX*NRHS) 111*> \endverbatim 112*> 113*> \param[out] XACT 114*> \verbatim 115*> XACT is COMPLEX array, dimension (NMAX*NRHS) 116*> \endverbatim 117*> 118*> \param[out] WORK 119*> \verbatim 120*> WORK is COMPLEX array, dimension (NMAX*max(2,NRHS)) 121*> \endverbatim 122*> 123*> \param[out] RWORK 124*> \verbatim 125*> RWORK is REAL 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*> \date November 2013 148* 149*> \ingroup complex_lin 150* 151* ===================================================================== 152 SUBROUTINE CDRVHE_ROOK( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, 153 $ NMAX, A, AFAC, AINV, B, X, XACT, WORK, 154 $ RWORK, IWORK, NOUT ) 155* 156* -- LAPACK test routine (version 3.5.0) -- 157* -- LAPACK is a software package provided by Univ. of Tennessee, -- 158* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 159* November 2013 160* 161* .. Scalar Arguments .. 162 LOGICAL TSTERR 163 INTEGER NMAX, NN, NOUT, NRHS 164 REAL THRESH 165* .. 166* .. Array Arguments .. 167 LOGICAL DOTYPE( * ) 168 INTEGER IWORK( * ), NVAL( * ) 169 REAL RWORK( * ) 170 COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ), 171 $ WORK( * ), X( * ), XACT( * ) 172* .. 173* 174* ===================================================================== 175* 176* .. Parameters .. 177 REAL ONE, ZERO 178 PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 ) 179 INTEGER NTYPES, NTESTS 180 PARAMETER ( NTYPES = 10, NTESTS = 3 ) 181 INTEGER NFACT 182 PARAMETER ( NFACT = 2 ) 183* .. 184* .. Local Scalars .. 185 LOGICAL ZEROT 186 CHARACTER DIST, FACT, TYPE, UPLO, XTYPE 187 CHARACTER*3 MATPATH, PATH 188 INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO, 189 $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N, 190 $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT 191 REAL AINVNM, ANORM, CNDNUM, RCONDC 192* .. 193* .. Local Arrays .. 194 CHARACTER FACTS( NFACT ), UPLOS( 2 ) 195 INTEGER ISEED( 4 ), ISEEDY( 4 ) 196 REAL RESULT( NTESTS ) 197 198* .. 199* .. External Functions .. 200 REAL CLANHE 201 EXTERNAL CLANHE 202* .. 203* .. External Subroutines .. 204 EXTERNAL ALADHD, ALAERH, ALASVM, XLAENV, CERRVX, 205 $ CGET04, CLACPY, CLARHS, CLATB4, CLATMS, 206 $ CHESV_ROOK, CHET01_ROOK, CPOT02, 207 $ CHETRF_ROOK, CHETRI_ROOK 208* .. 209* .. Scalars in Common .. 210 LOGICAL LERR, OK 211 CHARACTER*32 SRNAMT 212 INTEGER INFOT, NUNIT 213* .. 214* .. Common blocks .. 215 COMMON / INFOC / INFOT, NUNIT, OK, LERR 216 COMMON / SRNAMC / SRNAMT 217* .. 218* .. Intrinsic Functions .. 219 INTRINSIC MAX, MIN 220* .. 221* .. Data statements .. 222 DATA ISEEDY / 1988, 1989, 1990, 1991 / 223 DATA UPLOS / 'U', 'L' / , FACTS / 'F', 'N' / 224* .. 225* .. Executable Statements .. 226* 227* Initialize constants and the random number seed. 228* 229* Test path 230* 231 PATH( 1: 1 ) = 'Complex precision' 232 PATH( 2: 3 ) = 'HR' 233* 234* Path to generate matrices 235* 236 MATPATH( 1: 1 ) = 'Complex precision' 237 MATPATH( 2: 3 ) = 'HE' 238* 239 NRUN = 0 240 NFAIL = 0 241 NERRS = 0 242 DO 10 I = 1, 4 243 ISEED( I ) = ISEEDY( I ) 244 10 CONTINUE 245 LWORK = MAX( 2*NMAX, NMAX*NRHS ) 246* 247* Test the error exits 248* 249 IF( TSTERR ) 250 $ CALL CERRVX( PATH, NOUT ) 251 INFOT = 0 252* 253* Set the block size and minimum block size for which the block 254* routine should be used, which will be later returned by ILAENV. 255* 256 NB = 1 257 NBMIN = 2 258 CALL XLAENV( 1, NB ) 259 CALL XLAENV( 2, NBMIN ) 260* 261* Do for each value of N in NVAL 262* 263 DO 180 IN = 1, NN 264 N = NVAL( IN ) 265 LDA = MAX( N, 1 ) 266 XTYPE = 'N' 267 NIMAT = NTYPES 268 IF( N.LE.0 ) 269 $ NIMAT = 1 270* 271 DO 170 IMAT = 1, NIMAT 272* 273* Do the tests only if DOTYPE( IMAT ) is true. 274* 275 IF( .NOT.DOTYPE( IMAT ) ) 276 $ GO TO 170 277* 278* Skip types 3, 4, 5, or 6 if the matrix size is too small. 279* 280 ZEROT = IMAT.GE.3 .AND. IMAT.LE.6 281 IF( ZEROT .AND. N.LT.IMAT-2 ) 282 $ GO TO 170 283* 284* Do first for UPLO = 'U', then for UPLO = 'L' 285* 286 DO 160 IUPLO = 1, 2 287 UPLO = UPLOS( IUPLO ) 288* 289* Begin generate the test matrix A. 290* 291* Set up parameters with CLATB4 for the matrix generator 292* based on the type of matrix to be generated. 293* 294 CALL CLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, ANORM, 295 $ MODE, CNDNUM, DIST ) 296* 297* Generate a matrix with CLATMS. 298* 299 SRNAMT = 'CLATMS' 300 CALL CLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, 301 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, 302 $ WORK, INFO ) 303* 304* Check error code from CLATMS and handle error. 305* 306 IF( INFO.NE.0 ) THEN 307 CALL ALAERH( PATH, 'CLATMS', INFO, 0, UPLO, N, N, 308 $ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT ) 309 GO TO 160 310 END IF 311* 312* For types 3-6, zero one or more rows and columns of 313* the matrix to test that INFO is returned correctly. 314* 315 IF( ZEROT ) THEN 316 IF( IMAT.EQ.3 ) THEN 317 IZERO = 1 318 ELSE IF( IMAT.EQ.4 ) THEN 319 IZERO = N 320 ELSE 321 IZERO = N / 2 + 1 322 END IF 323* 324 IF( IMAT.LT.6 ) THEN 325* 326* Set row and column IZERO to zero. 327* 328 IF( IUPLO.EQ.1 ) THEN 329 IOFF = ( IZERO-1 )*LDA 330 DO 20 I = 1, IZERO - 1 331 A( IOFF+I ) = ZERO 332 20 CONTINUE 333 IOFF = IOFF + IZERO 334 DO 30 I = IZERO, N 335 A( IOFF ) = ZERO 336 IOFF = IOFF + LDA 337 30 CONTINUE 338 ELSE 339 IOFF = IZERO 340 DO 40 I = 1, IZERO - 1 341 A( IOFF ) = ZERO 342 IOFF = IOFF + LDA 343 40 CONTINUE 344 IOFF = IOFF - IZERO 345 DO 50 I = IZERO, N 346 A( IOFF+I ) = ZERO 347 50 CONTINUE 348 END IF 349 ELSE 350 IF( IUPLO.EQ.1 ) THEN 351* 352* Set the first IZERO rows and columns to zero. 353* 354 IOFF = 0 355 DO 70 J = 1, N 356 I2 = MIN( J, IZERO ) 357 DO 60 I = 1, I2 358 A( IOFF+I ) = ZERO 359 60 CONTINUE 360 IOFF = IOFF + LDA 361 70 CONTINUE 362 ELSE 363* 364* Set the first IZERO rows and columns to zero. 365* 366 IOFF = 0 367 DO 90 J = 1, N 368 I1 = MAX( J, IZERO ) 369 DO 80 I = I1, N 370 A( IOFF+I ) = ZERO 371 80 CONTINUE 372 IOFF = IOFF + LDA 373 90 CONTINUE 374 END IF 375 END IF 376 ELSE 377 IZERO = 0 378 END IF 379* 380* End generate the test matrix A. 381* 382* 383 DO 150 IFACT = 1, NFACT 384* 385* Do first for FACT = 'F', then for other values. 386* 387 FACT = FACTS( IFACT ) 388* 389* Compute the condition number for comparison with 390* the value returned by CHESVX_ROOK. 391* 392 IF( ZEROT ) THEN 393 IF( IFACT.EQ.1 ) 394 $ GO TO 150 395 RCONDC = ZERO 396* 397 ELSE IF( IFACT.EQ.1 ) THEN 398* 399* Compute the 1-norm of A. 400* 401 ANORM = CLANHE( '1', UPLO, N, A, LDA, RWORK ) 402* 403* Factor the matrix A. 404* 405 CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) 406 CALL CHETRF_ROOK( UPLO, N, AFAC, LDA, IWORK, WORK, 407 $ LWORK, INFO ) 408* 409* Compute inv(A) and take its norm. 410* 411 CALL CLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA ) 412 LWORK = (N+NB+1)*(NB+3) 413 CALL CHETRI_ROOK( UPLO, N, AINV, LDA, IWORK, 414 $ WORK, INFO ) 415 AINVNM = CLANHE( '1', UPLO, N, AINV, LDA, RWORK ) 416* 417* Compute the 1-norm condition number of A. 418* 419 IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN 420 RCONDC = ONE 421 ELSE 422 RCONDC = ( ONE / ANORM ) / AINVNM 423 END IF 424 END IF 425* 426* Form an exact solution and set the right hand side. 427* 428 SRNAMT = 'CLARHS' 429 CALL CLARHS( MATPATH, XTYPE, UPLO, ' ', N, N, KL, KU, 430 $ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED, 431 $ INFO ) 432 XTYPE = 'C' 433* 434* --- Test CHESV_ROOK --- 435* 436 IF( IFACT.EQ.2 ) THEN 437 CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) 438 CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) 439* 440* Factor the matrix and solve the system using 441* CHESV_ROOK. 442* 443 SRNAMT = 'CHESV_ROOK' 444 CALL CHESV_ROOK( UPLO, N, NRHS, AFAC, LDA, IWORK, 445 $ X, LDA, WORK, LWORK, INFO ) 446* 447* Adjust the expected value of INFO to account for 448* pivoting. 449* 450 K = IZERO 451 IF( K.GT.0 ) THEN 452 100 CONTINUE 453 IF( IWORK( K ).LT.0 ) THEN 454 IF( IWORK( K ).NE.-K ) THEN 455 K = -IWORK( K ) 456 GO TO 100 457 END IF 458 ELSE IF( IWORK( K ).NE.K ) THEN 459 K = IWORK( K ) 460 GO TO 100 461 END IF 462 END IF 463* 464* Check error code from CHESV_ROOK and handle error. 465* 466 IF( INFO.NE.K ) THEN 467 CALL ALAERH( PATH, 'CHESV_ROOK', INFO, K, UPLO, 468 $ N, N, -1, -1, NRHS, IMAT, NFAIL, 469 $ NERRS, NOUT ) 470 GO TO 120 471 ELSE IF( INFO.NE.0 ) THEN 472 GO TO 120 473 END IF 474* 475*+ TEST 1 Reconstruct matrix from factors and compute 476* residual. 477* 478 CALL CHET01_ROOK( UPLO, N, A, LDA, AFAC, LDA, 479 $ IWORK, AINV, LDA, RWORK, 480 $ RESULT( 1 ) ) 481* 482*+ TEST 2 Compute residual of the computed solution. 483* 484 CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) 485 CALL CPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, 486 $ LDA, RWORK, RESULT( 2 ) ) 487* 488*+ TEST 3 489* Check solution from generated exact solution. 490* 491 CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, 492 $ RESULT( 3 ) ) 493 NT = 3 494* 495* Print information about the tests that did not pass 496* the threshold. 497* 498 DO 110 K = 1, NT 499 IF( RESULT( K ).GE.THRESH ) THEN 500 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 501 $ CALL ALADHD( NOUT, PATH ) 502 WRITE( NOUT, FMT = 9999 )'CHESV_ROOK', UPLO, 503 $ N, IMAT, K, RESULT( K ) 504 NFAIL = NFAIL + 1 505 END IF 506 110 CONTINUE 507 NRUN = NRUN + NT 508 120 CONTINUE 509 END IF 510* 511 150 CONTINUE 512* 513 160 CONTINUE 514 170 CONTINUE 515 180 CONTINUE 516* 517* Print a summary of the results. 518* 519 CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS ) 520* 521 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2, 522 $ ', test ', I2, ', ratio =', G12.5 ) 523 RETURN 524* 525* End of CDRVHE_ROOK 526* 527 END 528