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