1*> \brief \b SCHKPS 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 SCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL, 12* THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK, 13* RWORK, NOUT ) 14* 15* .. Scalar Arguments .. 16* REAL THRESH 17* INTEGER NMAX, NN, NNB, NOUT, NRANK 18* LOGICAL TSTERR 19* .. 20* .. Array Arguments .. 21* REAL A( * ), AFAC( * ), PERM( * ), RWORK( * ), 22* $ WORK( * ) 23* INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * ) 24* LOGICAL DOTYPE( * ) 25* .. 26* 27* 28*> \par Purpose: 29* ============= 30*> 31*> \verbatim 32*> 33*> SCHKPS tests SPSTRF. 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 (NBVAL) 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 REAL 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 REAL array, dimension (NMAX*NMAX) 107*> \endverbatim 108*> 109*> \param[out] AFAC 110*> \verbatim 111*> AFAC is REAL array, dimension (NMAX*NMAX) 112*> \endverbatim 113*> 114*> \param[out] PERM 115*> \verbatim 116*> PERM is REAL 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 REAL array, dimension (NMAX*3) 127*> \endverbatim 128*> 129*> \param[out] RWORK 130*> \verbatim 131*> RWORK is REAL 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*> \date December 2016 149* 150*> \ingroup single_lin 151* 152* ===================================================================== 153 SUBROUTINE SCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL, 154 $ THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK, 155 $ RWORK, NOUT ) 156* 157* -- LAPACK test routine (version 3.7.0) -- 158* -- LAPACK is a software package provided by Univ. of Tennessee, -- 159* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 160* December 2016 161* 162* .. Scalar Arguments .. 163 REAL THRESH 164 INTEGER NMAX, NN, NNB, NOUT, NRANK 165 LOGICAL TSTERR 166* .. 167* .. Array Arguments .. 168 REAL A( * ), AFAC( * ), PERM( * ), RWORK( * ), 169 $ WORK( * ) 170 INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * ) 171 LOGICAL DOTYPE( * ) 172* .. 173* 174* ===================================================================== 175* 176* .. Parameters .. 177 REAL ONE 178 PARAMETER ( ONE = 1.0E+0 ) 179 INTEGER NTYPES 180 PARAMETER ( NTYPES = 9 ) 181* .. 182* .. Local Scalars .. 183 REAL ANORM, CNDNUM, RESULT, TOL 184 INTEGER COMPRANK, I, IMAT, IN, INB, INFO, IRANK, IUPLO, 185 $ IZERO, KL, KU, LDA, MODE, N, NB, NERRS, NFAIL, 186 $ NIMAT, NRUN, RANK, RANKDIFF 187 CHARACTER DIST, TYPE, UPLO 188 CHARACTER*3 PATH 189* .. 190* .. Local Arrays .. 191 INTEGER ISEED( 4 ), ISEEDY( 4 ) 192 CHARACTER UPLOS( 2 ) 193* .. 194* .. External Subroutines .. 195 EXTERNAL ALAERH, ALAHD, ALASUM, SERRPS, SLACPY, SLATB5, 196 $ SLATMT, SPST01, SPSTRF, XLAENV 197* .. 198* .. Scalars in Common .. 199 INTEGER INFOT, NUNIT 200 LOGICAL LERR, OK 201 CHARACTER*32 SRNAMT 202* .. 203* .. Common blocks .. 204 COMMON / INFOC / INFOT, NUNIT, OK, LERR 205 COMMON / SRNAMC / SRNAMT 206* .. 207* .. Intrinsic Functions .. 208 INTRINSIC MAX, REAL, CEILING 209* .. 210* .. Data statements .. 211 DATA ISEEDY / 1988, 1989, 1990, 1991 / 212 DATA UPLOS / 'U', 'L' / 213* .. 214* .. Executable Statements .. 215* 216* Initialize constants and the random number seed. 217* 218 PATH( 1: 1 ) = 'Single Precision' 219 PATH( 2: 3 ) = 'PS' 220 NRUN = 0 221 NFAIL = 0 222 NERRS = 0 223 DO 100 I = 1, 4 224 ISEED( I ) = ISEEDY( I ) 225 100 CONTINUE 226* 227* Test the error exits 228* 229 IF( TSTERR ) 230 $ CALL SERRPS( PATH, NOUT ) 231 INFOT = 0 232 CALL XLAENV( 2, 2 ) 233* 234* Do for each value of N in NVAL 235* 236 DO 150 IN = 1, NN 237 N = NVAL( IN ) 238 LDA = MAX( N, 1 ) 239 NIMAT = NTYPES 240 IF( N.LE.0 ) 241 $ NIMAT = 1 242* 243 IZERO = 0 244 DO 140 IMAT = 1, NIMAT 245* 246* Do the tests only if DOTYPE( IMAT ) is true. 247* 248 IF( .NOT.DOTYPE( IMAT ) ) 249 $ GO TO 140 250* 251* Do for each value of RANK in RANKVAL 252* 253 DO 130 IRANK = 1, NRANK 254* 255* Only repeat test 3 to 5 for different ranks 256* Other tests use full rank 257* 258 IF( ( IMAT.LT.3 .OR. IMAT.GT.5 ) .AND. IRANK.GT.1 ) 259 $ GO TO 130 260* 261 RANK = CEILING( ( N * REAL( RANKVAL( IRANK ) ) ) 262 $ / 100.E+0 ) 263* 264* 265* Do first for UPLO = 'U', then for UPLO = 'L' 266* 267 DO 120 IUPLO = 1, 2 268 UPLO = UPLOS( IUPLO ) 269* 270* Set up parameters with SLATB5 and generate a test matrix 271* with SLATMT. 272* 273 CALL SLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM, 274 $ MODE, CNDNUM, DIST ) 275* 276 SRNAMT = 'SLATMT' 277 CALL SLATMT( N, N, DIST, ISEED, TYPE, RWORK, MODE, 278 $ CNDNUM, ANORM, RANK, KL, KU, UPLO, A, 279 $ LDA, WORK, INFO ) 280* 281* Check error code from SLATMT. 282* 283 IF( INFO.NE.0 ) THEN 284 CALL ALAERH( PATH, 'SLATMT', INFO, 0, UPLO, N, 285 $ N, -1, -1, -1, IMAT, NFAIL, NERRS, 286 $ NOUT ) 287 GO TO 120 288 END IF 289* 290* Do for each value of NB in NBVAL 291* 292 DO 110 INB = 1, NNB 293 NB = NBVAL( INB ) 294 CALL XLAENV( 1, NB ) 295* 296* Compute the pivoted L*L' or U'*U factorization 297* of the matrix. 298* 299 CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) 300 SRNAMT = 'SPSTRF' 301* 302* Use default tolerance 303* 304 TOL = -ONE 305 CALL SPSTRF( UPLO, N, AFAC, LDA, PIV, COMPRANK, 306 $ TOL, WORK, INFO ) 307* 308* Check error code from SPSTRF. 309* 310 IF( (INFO.LT.IZERO) 311 $ .OR.(INFO.NE.IZERO.AND.RANK.EQ.N) 312 $ .OR.(INFO.LE.IZERO.AND.RANK.LT.N) ) THEN 313 CALL ALAERH( PATH, 'SPSTRF', INFO, IZERO, 314 $ UPLO, N, N, -1, -1, NB, IMAT, 315 $ NFAIL, NERRS, NOUT ) 316 GO TO 110 317 END IF 318* 319* Skip the test if INFO is not 0. 320* 321 IF( INFO.NE.0 ) 322 $ GO TO 110 323* 324* Reconstruct matrix from factors and compute residual. 325* 326* PERM holds permuted L*L^T or U^T*U 327* 328 CALL SPST01( UPLO, N, A, LDA, AFAC, LDA, PERM, LDA, 329 $ PIV, RWORK, RESULT, COMPRANK ) 330* 331* Print information about the tests that did not pass 332* the threshold or where computed rank was not RANK. 333* 334 IF( N.EQ.0 ) 335 $ COMPRANK = 0 336 RANKDIFF = RANK - COMPRANK 337 IF( RESULT.GE.THRESH ) THEN 338 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 339 $ CALL ALAHD( NOUT, PATH ) 340 WRITE( NOUT, FMT = 9999 )UPLO, N, RANK, 341 $ RANKDIFF, NB, IMAT, RESULT 342 NFAIL = NFAIL + 1 343 END IF 344 NRUN = NRUN + 1 345 110 CONTINUE 346* 347 120 CONTINUE 348 130 CONTINUE 349 140 CONTINUE 350 150 CONTINUE 351* 352* Print a summary of the results. 353* 354 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) 355* 356 9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', RANK =', I3, 357 $ ', Diff =', I5, ', NB =', I4, ', type ', I2, ', Ratio =', 358 $ G12.5 ) 359 RETURN 360* 361* End of SCHKPS 362* 363 END 364