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LAPACK
3.4.1
LAPACK: Linear Algebra PACKage
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00001 *> \brief \b SCHKPO 00002 * 00003 * =========== DOCUMENTATION =========== 00004 * 00005 * Online html documentation available at 00006 * http://www.netlib.org/lapack/explore-html/ 00007 * 00008 * Definition: 00009 * =========== 00010 * 00011 * SUBROUTINE SCHKPO( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, 00012 * THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, 00013 * XACT, WORK, RWORK, IWORK, NOUT ) 00014 * 00015 * .. Scalar Arguments .. 00016 * LOGICAL TSTERR 00017 * INTEGER NMAX, NN, NNB, NNS, NOUT 00018 * REAL THRESH 00019 * .. 00020 * .. Array Arguments .. 00021 * LOGICAL DOTYPE( * ) 00022 * INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * ) 00023 * REAL A( * ), AFAC( * ), AINV( * ), B( * ), 00024 * $ RWORK( * ), WORK( * ), X( * ), XACT( * ) 00025 * .. 00026 * 00027 * 00028 *> \par Purpose: 00029 * ============= 00030 *> 00031 *> \verbatim 00032 *> 00033 *> SCHKPO tests SPOTRF, -TRI, -TRS, -RFS, and -CON 00034 *> \endverbatim 00035 * 00036 * Arguments: 00037 * ========== 00038 * 00039 *> \param[in] DOTYPE 00040 *> \verbatim 00041 *> DOTYPE is LOGICAL array, dimension (NTYPES) 00042 *> The matrix types to be used for testing. Matrices of type j 00043 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = 00044 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. 00045 *> \endverbatim 00046 *> 00047 *> \param[in] NN 00048 *> \verbatim 00049 *> NN is INTEGER 00050 *> The number of values of N contained in the vector NVAL. 00051 *> \endverbatim 00052 *> 00053 *> \param[in] NVAL 00054 *> \verbatim 00055 *> NVAL is INTEGER array, dimension (NN) 00056 *> The values of the matrix dimension N. 00057 *> \endverbatim 00058 *> 00059 *> \param[in] NNB 00060 *> \verbatim 00061 *> NNB is INTEGER 00062 *> The number of values of NB contained in the vector NBVAL. 00063 *> \endverbatim 00064 *> 00065 *> \param[in] NBVAL 00066 *> \verbatim 00067 *> NBVAL is INTEGER array, dimension (NBVAL) 00068 *> The values of the blocksize NB. 00069 *> \endverbatim 00070 *> 00071 *> \param[in] NNS 00072 *> \verbatim 00073 *> NNS is INTEGER 00074 *> The number of values of NRHS contained in the vector NSVAL. 00075 *> \endverbatim 00076 *> 00077 *> \param[in] NSVAL 00078 *> \verbatim 00079 *> NSVAL is INTEGER array, dimension (NNS) 00080 *> The values of the number of right hand sides NRHS. 00081 *> \endverbatim 00082 *> 00083 *> \param[in] THRESH 00084 *> \verbatim 00085 *> THRESH is REAL 00086 *> The threshold value for the test ratios. A result is 00087 *> included in the output file if RESULT >= THRESH. To have 00088 *> every test ratio printed, use THRESH = 0. 00089 *> \endverbatim 00090 *> 00091 *> \param[in] TSTERR 00092 *> \verbatim 00093 *> TSTERR is LOGICAL 00094 *> Flag that indicates whether error exits are to be tested. 00095 *> \endverbatim 00096 *> 00097 *> \param[in] NMAX 00098 *> \verbatim 00099 *> NMAX is INTEGER 00100 *> The maximum value permitted for N, used in dimensioning the 00101 *> work arrays. 00102 *> \endverbatim 00103 *> 00104 *> \param[out] A 00105 *> \verbatim 00106 *> A is REAL array, dimension (NMAX*NMAX) 00107 *> \endverbatim 00108 *> 00109 *> \param[out] AFAC 00110 *> \verbatim 00111 *> AFAC is REAL array, dimension (NMAX*NMAX) 00112 *> \endverbatim 00113 *> 00114 *> \param[out] AINV 00115 *> \verbatim 00116 *> AINV is REAL array, dimension (NMAX*NMAX) 00117 *> \endverbatim 00118 *> 00119 *> \param[out] B 00120 *> \verbatim 00121 *> B is REAL array, dimension (NMAX*NSMAX) 00122 *> where NSMAX is the largest entry in NSVAL. 00123 *> \endverbatim 00124 *> 00125 *> \param[out] X 00126 *> \verbatim 00127 *> X is REAL array, dimension (NMAX*NSMAX) 00128 *> \endverbatim 00129 *> 00130 *> \param[out] XACT 00131 *> \verbatim 00132 *> XACT is REAL array, dimension (NMAX*NSMAX) 00133 *> \endverbatim 00134 *> 00135 *> \param[out] WORK 00136 *> \verbatim 00137 *> WORK is REAL array, dimension 00138 *> (NMAX*max(3,NSMAX)) 00139 *> \endverbatim 00140 *> 00141 *> \param[out] RWORK 00142 *> \verbatim 00143 *> RWORK is REAL array, dimension 00144 *> (max(NMAX,2*NSMAX)) 00145 *> \endverbatim 00146 *> 00147 *> \param[out] IWORK 00148 *> \verbatim 00149 *> IWORK is INTEGER array, dimension (NMAX) 00150 *> \endverbatim 00151 *> 00152 *> \param[in] NOUT 00153 *> \verbatim 00154 *> NOUT is INTEGER 00155 *> The unit number for output. 00156 *> \endverbatim 00157 * 00158 * Authors: 00159 * ======== 00160 * 00161 *> \author Univ. of Tennessee 00162 *> \author Univ. of California Berkeley 00163 *> \author Univ. of Colorado Denver 00164 *> \author NAG Ltd. 00165 * 00166 *> \date November 2011 00167 * 00168 *> \ingroup single_lin 00169 * 00170 * ===================================================================== 00171 SUBROUTINE SCHKPO( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, 00172 $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, 00173 $ XACT, WORK, RWORK, IWORK, NOUT ) 00174 * 00175 * -- LAPACK test routine (version 3.4.0) -- 00176 * -- LAPACK is a software package provided by Univ. of Tennessee, -- 00177 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 00178 * November 2011 00179 * 00180 * .. Scalar Arguments .. 00181 LOGICAL TSTERR 00182 INTEGER NMAX, NN, NNB, NNS, NOUT 00183 REAL THRESH 00184 * .. 00185 * .. Array Arguments .. 00186 LOGICAL DOTYPE( * ) 00187 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * ) 00188 REAL A( * ), AFAC( * ), AINV( * ), B( * ), 00189 $ RWORK( * ), WORK( * ), X( * ), XACT( * ) 00190 * .. 00191 * 00192 * ===================================================================== 00193 * 00194 * .. Parameters .. 00195 REAL ZERO 00196 PARAMETER ( ZERO = 0.0E+0 ) 00197 INTEGER NTYPES 00198 PARAMETER ( NTYPES = 9 ) 00199 INTEGER NTESTS 00200 PARAMETER ( NTESTS = 8 ) 00201 * .. 00202 * .. Local Scalars .. 00203 LOGICAL ZEROT 00204 CHARACTER DIST, TYPE, UPLO, XTYPE 00205 CHARACTER*3 PATH 00206 INTEGER I, IMAT, IN, INB, INFO, IOFF, IRHS, IUPLO, 00207 $ IZERO, K, KL, KU, LDA, MODE, N, NB, NERRS, 00208 $ NFAIL, NIMAT, NRHS, NRUN 00209 REAL ANORM, CNDNUM, RCOND, RCONDC 00210 * .. 00211 * .. Local Arrays .. 00212 CHARACTER UPLOS( 2 ) 00213 INTEGER ISEED( 4 ), ISEEDY( 4 ) 00214 REAL RESULT( NTESTS ) 00215 * .. 00216 * .. External Functions .. 00217 REAL SGET06, SLANSY 00218 EXTERNAL SGET06, SLANSY 00219 * .. 00220 * .. External Subroutines .. 00221 EXTERNAL ALAERH, ALAHD, ALASUM, SERRPO, SGET04, SLACPY, 00222 $ SLARHS, SLATB4, SLATMS, SPOCON, SPORFS, SPOT01, 00223 $ SPOT02, SPOT03, SPOT05, SPOTRF, SPOTRI, SPOTRS, 00224 $ XLAENV 00225 * .. 00226 * .. Scalars in Common .. 00227 LOGICAL LERR, OK 00228 CHARACTER*32 SRNAMT 00229 INTEGER INFOT, NUNIT 00230 * .. 00231 * .. Common blocks .. 00232 COMMON / INFOC / INFOT, NUNIT, OK, LERR 00233 COMMON / SRNAMC / SRNAMT 00234 * .. 00235 * .. Intrinsic Functions .. 00236 INTRINSIC MAX 00237 * .. 00238 * .. Data statements .. 00239 DATA ISEEDY / 1988, 1989, 1990, 1991 / 00240 DATA UPLOS / 'U', 'L' / 00241 * .. 00242 * .. Executable Statements .. 00243 * 00244 * Initialize constants and the random number seed. 00245 * 00246 PATH( 1: 1 ) = 'Single precision' 00247 PATH( 2: 3 ) = 'PO' 00248 NRUN = 0 00249 NFAIL = 0 00250 NERRS = 0 00251 DO 10 I = 1, 4 00252 ISEED( I ) = ISEEDY( I ) 00253 10 CONTINUE 00254 * 00255 * Test the error exits 00256 * 00257 IF( TSTERR ) 00258 $ CALL SERRPO( PATH, NOUT ) 00259 INFOT = 0 00260 CALL XLAENV( 2, 2 ) 00261 * 00262 * Do for each value of N in NVAL 00263 * 00264 DO 120 IN = 1, NN 00265 N = NVAL( IN ) 00266 LDA = MAX( N, 1 ) 00267 XTYPE = 'N' 00268 NIMAT = NTYPES 00269 IF( N.LE.0 ) 00270 $ NIMAT = 1 00271 * 00272 IZERO = 0 00273 DO 110 IMAT = 1, NIMAT 00274 * 00275 * Do the tests only if DOTYPE( IMAT ) is true. 00276 * 00277 IF( .NOT.DOTYPE( IMAT ) ) 00278 $ GO TO 110 00279 * 00280 * Skip types 3, 4, or 5 if the matrix size is too small. 00281 * 00282 ZEROT = IMAT.GE.3 .AND. IMAT.LE.5 00283 IF( ZEROT .AND. N.LT.IMAT-2 ) 00284 $ GO TO 110 00285 * 00286 * Do first for UPLO = 'U', then for UPLO = 'L' 00287 * 00288 DO 100 IUPLO = 1, 2 00289 UPLO = UPLOS( IUPLO ) 00290 * 00291 * Set up parameters with SLATB4 and generate a test matrix 00292 * with SLATMS. 00293 * 00294 CALL SLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE, 00295 $ CNDNUM, DIST ) 00296 * 00297 SRNAMT = 'SLATMS' 00298 CALL SLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, 00299 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK, 00300 $ INFO ) 00301 * 00302 * Check error code from SLATMS. 00303 * 00304 IF( INFO.NE.0 ) THEN 00305 CALL ALAERH( PATH, 'SLATMS', INFO, 0, UPLO, N, N, -1, 00306 $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) 00307 GO TO 100 00308 END IF 00309 * 00310 * For types 3-5, zero one row and column of the matrix to 00311 * test that INFO is returned correctly. 00312 * 00313 IF( ZEROT ) THEN 00314 IF( IMAT.EQ.3 ) THEN 00315 IZERO = 1 00316 ELSE IF( IMAT.EQ.4 ) THEN 00317 IZERO = N 00318 ELSE 00319 IZERO = N / 2 + 1 00320 END IF 00321 IOFF = ( IZERO-1 )*LDA 00322 * 00323 * Set row and column IZERO of A to 0. 00324 * 00325 IF( IUPLO.EQ.1 ) THEN 00326 DO 20 I = 1, IZERO - 1 00327 A( IOFF+I ) = ZERO 00328 20 CONTINUE 00329 IOFF = IOFF + IZERO 00330 DO 30 I = IZERO, N 00331 A( IOFF ) = ZERO 00332 IOFF = IOFF + LDA 00333 30 CONTINUE 00334 ELSE 00335 IOFF = IZERO 00336 DO 40 I = 1, IZERO - 1 00337 A( IOFF ) = ZERO 00338 IOFF = IOFF + LDA 00339 40 CONTINUE 00340 IOFF = IOFF - IZERO 00341 DO 50 I = IZERO, N 00342 A( IOFF+I ) = ZERO 00343 50 CONTINUE 00344 END IF 00345 ELSE 00346 IZERO = 0 00347 END IF 00348 * 00349 * Do for each value of NB in NBVAL 00350 * 00351 DO 90 INB = 1, NNB 00352 NB = NBVAL( INB ) 00353 CALL XLAENV( 1, NB ) 00354 * 00355 * Compute the L*L' or U'*U factorization of the matrix. 00356 * 00357 CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA ) 00358 SRNAMT = 'SPOTRF' 00359 CALL SPOTRF( UPLO, N, AFAC, LDA, INFO ) 00360 * 00361 * Check error code from SPOTRF. 00362 * 00363 IF( INFO.NE.IZERO ) THEN 00364 CALL ALAERH( PATH, 'SPOTRF', INFO, IZERO, UPLO, N, 00365 $ N, -1, -1, NB, IMAT, NFAIL, NERRS, 00366 $ NOUT ) 00367 GO TO 90 00368 END IF 00369 * 00370 * Skip the tests if INFO is not 0. 00371 * 00372 IF( INFO.NE.0 ) 00373 $ GO TO 90 00374 * 00375 *+ TEST 1 00376 * Reconstruct matrix from factors and compute residual. 00377 * 00378 CALL SLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA ) 00379 CALL SPOT01( UPLO, N, A, LDA, AINV, LDA, RWORK, 00380 $ RESULT( 1 ) ) 00381 * 00382 *+ TEST 2 00383 * Form the inverse and compute the residual. 00384 * 00385 CALL SLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA ) 00386 SRNAMT = 'SPOTRI' 00387 CALL SPOTRI( UPLO, N, AINV, LDA, INFO ) 00388 * 00389 * Check error code from SPOTRI. 00390 * 00391 IF( INFO.NE.0 ) 00392 $ CALL ALAERH( PATH, 'SPOTRI', INFO, 0, UPLO, N, N, 00393 $ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT ) 00394 * 00395 CALL SPOT03( UPLO, N, A, LDA, AINV, LDA, WORK, LDA, 00396 $ RWORK, RCONDC, RESULT( 2 ) ) 00397 * 00398 * Print information about the tests that did not pass 00399 * the threshold. 00400 * 00401 DO 60 K = 1, 2 00402 IF( RESULT( K ).GE.THRESH ) THEN 00403 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00404 $ CALL ALAHD( NOUT, PATH ) 00405 WRITE( NOUT, FMT = 9999 )UPLO, N, NB, IMAT, K, 00406 $ RESULT( K ) 00407 NFAIL = NFAIL + 1 00408 END IF 00409 60 CONTINUE 00410 NRUN = NRUN + 2 00411 * 00412 * Skip the rest of the tests unless this is the first 00413 * blocksize. 00414 * 00415 IF( INB.NE.1 ) 00416 $ GO TO 90 00417 * 00418 DO 80 IRHS = 1, NNS 00419 NRHS = NSVAL( IRHS ) 00420 * 00421 *+ TEST 3 00422 * Solve and compute residual for A * X = B . 00423 * 00424 SRNAMT = 'SLARHS' 00425 CALL SLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU, 00426 $ NRHS, A, LDA, XACT, LDA, B, LDA, 00427 $ ISEED, INFO ) 00428 CALL SLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) 00429 * 00430 SRNAMT = 'SPOTRS' 00431 CALL SPOTRS( UPLO, N, NRHS, AFAC, LDA, X, LDA, 00432 $ INFO ) 00433 * 00434 * Check error code from SPOTRS. 00435 * 00436 IF( INFO.NE.0 ) 00437 $ CALL ALAERH( PATH, 'SPOTRS', INFO, 0, UPLO, N, 00438 $ N, -1, -1, NRHS, IMAT, NFAIL, 00439 $ NERRS, NOUT ) 00440 * 00441 CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) 00442 CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK, 00443 $ LDA, RWORK, RESULT( 3 ) ) 00444 * 00445 *+ TEST 4 00446 * Check solution from generated exact solution. 00447 * 00448 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, 00449 $ RESULT( 4 ) ) 00450 * 00451 *+ TESTS 5, 6, and 7 00452 * Use iterative refinement to improve the solution. 00453 * 00454 SRNAMT = 'SPORFS' 00455 CALL SPORFS( UPLO, N, NRHS, A, LDA, AFAC, LDA, B, 00456 $ LDA, X, LDA, RWORK, RWORK( NRHS+1 ), 00457 $ WORK, IWORK, INFO ) 00458 * 00459 * Check error code from SPORFS. 00460 * 00461 IF( INFO.NE.0 ) 00462 $ CALL ALAERH( PATH, 'SPORFS', INFO, 0, UPLO, N, 00463 $ N, -1, -1, NRHS, IMAT, NFAIL, 00464 $ NERRS, NOUT ) 00465 * 00466 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, 00467 $ RESULT( 5 ) ) 00468 CALL SPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA, 00469 $ XACT, LDA, RWORK, RWORK( NRHS+1 ), 00470 $ RESULT( 6 ) ) 00471 * 00472 * Print information about the tests that did not pass 00473 * the threshold. 00474 * 00475 DO 70 K = 3, 7 00476 IF( RESULT( K ).GE.THRESH ) THEN 00477 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00478 $ CALL ALAHD( NOUT, PATH ) 00479 WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS, 00480 $ IMAT, K, RESULT( K ) 00481 NFAIL = NFAIL + 1 00482 END IF 00483 70 CONTINUE 00484 NRUN = NRUN + 5 00485 80 CONTINUE 00486 * 00487 *+ TEST 8 00488 * Get an estimate of RCOND = 1/CNDNUM. 00489 * 00490 ANORM = SLANSY( '1', UPLO, N, A, LDA, RWORK ) 00491 SRNAMT = 'SPOCON' 00492 CALL SPOCON( UPLO, N, AFAC, LDA, ANORM, RCOND, WORK, 00493 $ IWORK, INFO ) 00494 * 00495 * Check error code from SPOCON. 00496 * 00497 IF( INFO.NE.0 ) 00498 $ CALL ALAERH( PATH, 'SPOCON', INFO, 0, UPLO, N, N, 00499 $ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT ) 00500 * 00501 RESULT( 8 ) = SGET06( RCOND, RCONDC ) 00502 * 00503 * Print the test ratio if it is .GE. THRESH. 00504 * 00505 IF( RESULT( 8 ).GE.THRESH ) THEN 00506 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00507 $ CALL ALAHD( NOUT, PATH ) 00508 WRITE( NOUT, FMT = 9997 )UPLO, N, IMAT, 8, 00509 $ RESULT( 8 ) 00510 NFAIL = NFAIL + 1 00511 END IF 00512 NRUN = NRUN + 1 00513 90 CONTINUE 00514 100 CONTINUE 00515 110 CONTINUE 00516 120 CONTINUE 00517 * 00518 * Print a summary of the results. 00519 * 00520 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) 00521 * 00522 9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NB =', I4, ', type ', 00523 $ I2, ', test ', I2, ', ratio =', G12.5 ) 00524 9998 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NRHS=', I3, ', type ', 00525 $ I2, ', test(', I2, ') =', G12.5 ) 00526 9997 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ',', 10X, ' type ', I2, 00527 $ ', test(', I2, ') =', G12.5 ) 00528 RETURN 00529 * 00530 * End of SCHKPO 00531 * 00532 END