1*> \brief \b ZCHKPS 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 ZCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL, 12* THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK, 13* RWORK, NOUT ) 14* 15* .. Scalar Arguments .. 16* DOUBLE PRECISION THRESH 17* INTEGER NMAX, NN, NNB, NOUT, NRANK 18* LOGICAL TSTERR 19* .. 20* .. Array Arguments .. 21* COMPLEX*16 A( * ), AFAC( * ), PERM( * ), WORK( * ) 22* DOUBLE PRECISION RWORK( * ) 23* INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * ) 24* LOGICAL DOTYPE( * ) 25* .. 26* 27* 28*> \par Purpose: 29* ============= 30*> 31*> \verbatim 32*> 33*> ZCHKPS tests ZPSTRF. 34*> \endverbatim 35* 36* Arguments: 37* ========== 38* 39*> \param[in] DOTYPE 40*> \verbatim 41*> DOTYPE is LOGICAL array, dimension (NTYPES) 42*> The matrix types to be used for testing. Matrices of type j 43*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = 44*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. 45*> \endverbatim 46*> 47*> \param[in] NN 48*> \verbatim 49*> NN is INTEGER 50*> The number of values of N contained in the vector NVAL. 51*> \endverbatim 52*> 53*> \param[in] NVAL 54*> \verbatim 55*> NVAL is INTEGER array, dimension (NN) 56*> The values of the matrix dimension N. 57*> \endverbatim 58*> 59*> \param[in] NNB 60*> \verbatim 61*> NNB is INTEGER 62*> The number of values of NB contained in the vector NBVAL. 63*> \endverbatim 64*> 65*> \param[in] NBVAL 66*> \verbatim 67*> NBVAL is INTEGER array, dimension (NNB) 68*> The values of the block size NB. 69*> \endverbatim 70*> 71*> \param[in] NRANK 72*> \verbatim 73*> NRANK is INTEGER 74*> The number of values of RANK contained in the vector RANKVAL. 75*> \endverbatim 76*> 77*> \param[in] RANKVAL 78*> \verbatim 79*> RANKVAL is INTEGER array, dimension (NBVAL) 80*> The values of the block size NB. 81*> \endverbatim 82*> 83*> \param[in] THRESH 84*> \verbatim 85*> THRESH is DOUBLE PRECISION 86*> The threshold value for the test ratios. A result is 87*> included in the output file if RESULT >= THRESH. To have 88*> every test ratio printed, use THRESH = 0. 89*> \endverbatim 90*> 91*> \param[in] TSTERR 92*> \verbatim 93*> TSTERR is LOGICAL 94*> Flag that indicates whether error exits are to be tested. 95*> \endverbatim 96*> 97*> \param[in] NMAX 98*> \verbatim 99*> NMAX is INTEGER 100*> The maximum value permitted for N, used in dimensioning the 101*> work arrays. 102*> \endverbatim 103*> 104*> \param[out] A 105*> \verbatim 106*> A is COMPLEX*16 array, dimension (NMAX*NMAX) 107*> \endverbatim 108*> 109*> \param[out] AFAC 110*> \verbatim 111*> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX) 112*> \endverbatim 113*> 114*> \param[out] PERM 115*> \verbatim 116*> PERM is COMPLEX*16 array, dimension (NMAX*NMAX) 117*> \endverbatim 118*> 119*> \param[out] PIV 120*> \verbatim 121*> PIV is INTEGER array, dimension (NMAX) 122*> \endverbatim 123*> 124*> \param[out] WORK 125*> \verbatim 126*> WORK is COMPLEX*16 array, dimension (NMAX*3) 127*> \endverbatim 128*> 129*> \param[out] RWORK 130*> \verbatim 131*> RWORK is DOUBLE PRECISION array, dimension (NMAX) 132*> \endverbatim 133*> 134*> \param[in] NOUT 135*> \verbatim 136*> NOUT is INTEGER 137*> The unit number for output. 138*> \endverbatim 139* 140* Authors: 141* ======== 142* 143*> \author Univ. of Tennessee 144*> \author Univ. of California Berkeley 145*> \author Univ. of Colorado Denver 146*> \author NAG Ltd. 147* 148*> \ingroup complex16_lin 149* 150* ===================================================================== 151 SUBROUTINE ZCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL, 152 $ THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK, 153 $ RWORK, NOUT ) 154* 155* -- LAPACK test routine -- 156* -- LAPACK is a software package provided by Univ. of Tennessee, -- 157* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 158* 159* .. Scalar Arguments .. 160 DOUBLE PRECISION THRESH 161 INTEGER NMAX, NN, NNB, NOUT, NRANK 162 LOGICAL TSTERR 163* .. 164* .. Array Arguments .. 165 COMPLEX*16 A( * ), AFAC( * ), PERM( * ), WORK( * ) 166 DOUBLE PRECISION RWORK( * ) 167 INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * ) 168 LOGICAL DOTYPE( * ) 169* .. 170* 171* ===================================================================== 172* 173* .. Parameters .. 174 DOUBLE PRECISION ONE 175 PARAMETER ( ONE = 1.0E+0 ) 176 INTEGER NTYPES 177 PARAMETER ( NTYPES = 9 ) 178* .. 179* .. Local Scalars .. 180 DOUBLE PRECISION ANORM, CNDNUM, RESULT, TOL 181 INTEGER COMPRANK, I, IMAT, IN, INB, INFO, IRANK, IUPLO, 182 $ IZERO, KL, KU, LDA, MODE, N, NB, NERRS, NFAIL, 183 $ NIMAT, NRUN, RANK, RANKDIFF 184 CHARACTER DIST, TYPE, UPLO 185 CHARACTER*3 PATH 186* .. 187* .. Local Arrays .. 188 INTEGER ISEED( 4 ), ISEEDY( 4 ) 189 CHARACTER UPLOS( 2 ) 190* .. 191* .. External Subroutines .. 192 EXTERNAL ALAERH, ALAHD, ALASUM, XLAENV, ZERRPS, ZLACPY, 193 $ ZLATB5, ZLATMT, ZPST01, ZPSTRF 194* .. 195* .. Scalars in Common .. 196 INTEGER INFOT, NUNIT 197 LOGICAL LERR, OK 198 CHARACTER*32 SRNAMT 199* .. 200* .. Common blocks .. 201 COMMON / INFOC / INFOT, NUNIT, OK, LERR 202 COMMON / SRNAMC / SRNAMT 203* .. 204* .. Intrinsic Functions .. 205 INTRINSIC DBLE, MAX, CEILING 206* .. 207* .. Data statements .. 208 DATA ISEEDY / 1988, 1989, 1990, 1991 / 209 DATA UPLOS / 'U', 'L' / 210* .. 211* .. Executable Statements .. 212* 213* Initialize constants and the random number seed. 214* 215 PATH( 1: 1 ) = 'Zomplex Precision' 216 PATH( 2: 3 ) = 'PS' 217 NRUN = 0 218 NFAIL = 0 219 NERRS = 0 220 DO 100 I = 1, 4 221 ISEED( I ) = ISEEDY( I ) 222 100 CONTINUE 223* 224* Test the error exits 225* 226 IF( TSTERR ) 227 $ CALL ZERRPS( PATH, NOUT ) 228 INFOT = 0 229* 230* Do for each value of N in NVAL 231* 232 DO 150 IN = 1, NN 233 N = NVAL( IN ) 234 LDA = MAX( N, 1 ) 235 NIMAT = NTYPES 236 IF( N.LE.0 ) 237 $ NIMAT = 1 238* 239 IZERO = 0 240 DO 140 IMAT = 1, NIMAT 241* 242* Do the tests only if DOTYPE( IMAT ) is true. 243* 244 IF( .NOT.DOTYPE( IMAT ) ) 245 $ GO TO 140 246* 247* Do for each value of RANK in RANKVAL 248* 249 DO 130 IRANK = 1, NRANK 250* 251* Only repeat test 3 to 5 for different ranks 252* Other tests use full rank 253* 254 IF( ( IMAT.LT.3 .OR. IMAT.GT.5 ) .AND. IRANK.GT.1 ) 255 $ GO TO 130 256* 257 RANK = CEILING( ( N * DBLE( RANKVAL( IRANK ) ) ) 258 $ / 100.E+0 ) 259* 260* 261* Do first for UPLO = 'U', then for UPLO = 'L' 262* 263 DO 120 IUPLO = 1, 2 264 UPLO = UPLOS( IUPLO ) 265* 266* Set up parameters with ZLATB5 and generate a test matrix 267* with ZLATMT. 268* 269 CALL ZLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM, 270 $ MODE, CNDNUM, DIST ) 271* 272 SRNAMT = 'ZLATMT' 273 CALL ZLATMT( N, N, DIST, ISEED, TYPE, RWORK, MODE, 274 $ CNDNUM, ANORM, RANK, KL, KU, UPLO, A, 275 $ LDA, WORK, INFO ) 276* 277* Check error code from ZLATMT. 278* 279 IF( INFO.NE.0 ) THEN 280 CALL ALAERH( PATH, 'ZLATMT', INFO, 0, UPLO, N, 281 $ N, -1, -1, -1, IMAT, NFAIL, NERRS, 282 $ NOUT ) 283 GO TO 120 284 END IF 285* 286* Do for each value of NB in NBVAL 287* 288 DO 110 INB = 1, NNB 289 NB = NBVAL( INB ) 290 CALL XLAENV( 1, NB ) 291* 292* Compute the pivoted L*L' or U'*U factorization 293* of the matrix. 294* 295 CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) 296 SRNAMT = 'ZPSTRF' 297* 298* Use default tolerance 299* 300 TOL = -ONE 301 CALL ZPSTRF( UPLO, N, AFAC, LDA, PIV, COMPRANK, 302 $ TOL, RWORK, INFO ) 303* 304* Check error code from ZPSTRF. 305* 306 IF( (INFO.LT.IZERO) 307 $ .OR.(INFO.NE.IZERO.AND.RANK.EQ.N) 308 $ .OR.(INFO.LE.IZERO.AND.RANK.LT.N) ) THEN 309 CALL ALAERH( PATH, 'ZPSTRF', INFO, IZERO, 310 $ UPLO, N, N, -1, -1, NB, IMAT, 311 $ NFAIL, NERRS, NOUT ) 312 GO TO 110 313 END IF 314* 315* Skip the test if INFO is not 0. 316* 317 IF( INFO.NE.0 ) 318 $ GO TO 110 319* 320* Reconstruct matrix from factors and compute residual. 321* 322* PERM holds permuted L*L^T or U^T*U 323* 324 CALL ZPST01( UPLO, N, A, LDA, AFAC, LDA, PERM, LDA, 325 $ PIV, RWORK, RESULT, COMPRANK ) 326* 327* Print information about the tests that did not pass 328* the threshold or where computed rank was not RANK. 329* 330 IF( N.EQ.0 ) 331 $ COMPRANK = 0 332 RANKDIFF = RANK - COMPRANK 333 IF( RESULT.GE.THRESH ) THEN 334 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 335 $ CALL ALAHD( NOUT, PATH ) 336 WRITE( NOUT, FMT = 9999 )UPLO, N, RANK, 337 $ RANKDIFF, NB, IMAT, RESULT 338 NFAIL = NFAIL + 1 339 END IF 340 NRUN = NRUN + 1 341 110 CONTINUE 342* 343 120 CONTINUE 344 130 CONTINUE 345 140 CONTINUE 346 150 CONTINUE 347* 348* Print a summary of the results. 349* 350 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) 351* 352 9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', RANK =', I3, 353 $ ', Diff =', I5, ', NB =', I4, ', type ', I2, ', Ratio =', 354 $ G12.5 ) 355 RETURN 356* 357* End of ZCHKPS 358* 359 END 360