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LAPACK
3.4.1
LAPACK: Linear Algebra PACKage
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00001 *> \brief \b SDRVGEX 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 SDRVGE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, 00012 * A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK, 00013 * RWORK, IWORK, NOUT ) 00014 * 00015 * .. Scalar Arguments .. 00016 * LOGICAL TSTERR 00017 * INTEGER NMAX, NN, NOUT, NRHS 00018 * REAL THRESH 00019 * .. 00020 * .. Array Arguments .. 00021 * LOGICAL DOTYPE( * ) 00022 * INTEGER IWORK( * ), NVAL( * ) 00023 * REAL A( * ), AFAC( * ), ASAV( * ), B( * ), 00024 * $ BSAV( * ), RWORK( * ), S( * ), WORK( * ), 00025 * $ X( * ), XACT( * ) 00026 * .. 00027 * 00028 * 00029 *> \par Purpose: 00030 * ============= 00031 *> 00032 *> \verbatim 00033 *> 00034 *> SDRVGE tests the driver routines SGESV, -SVX, and -SVXX. 00035 *> 00036 *> Note that this file is used only when the XBLAS are available, 00037 *> otherwise sdrvge.f defines this subroutine. 00038 *> \endverbatim 00039 * 00040 * Arguments: 00041 * ========== 00042 * 00043 *> \param[in] DOTYPE 00044 *> \verbatim 00045 *> DOTYPE is LOGICAL array, dimension (NTYPES) 00046 *> The matrix types to be used for testing. Matrices of type j 00047 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = 00048 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. 00049 *> \endverbatim 00050 *> 00051 *> \param[in] NN 00052 *> \verbatim 00053 *> NN is INTEGER 00054 *> The number of values of N contained in the vector NVAL. 00055 *> \endverbatim 00056 *> 00057 *> \param[in] NVAL 00058 *> \verbatim 00059 *> NVAL is INTEGER array, dimension (NN) 00060 *> The values of the matrix column dimension N. 00061 *> \endverbatim 00062 *> 00063 *> \param[in] NRHS 00064 *> \verbatim 00065 *> NRHS is INTEGER 00066 *> The number of right hand side vectors to be generated for 00067 *> each linear system. 00068 *> \endverbatim 00069 *> 00070 *> \param[in] THRESH 00071 *> \verbatim 00072 *> THRESH is REAL 00073 *> The threshold value for the test ratios. A result is 00074 *> included in the output file if RESULT >= THRESH. To have 00075 *> every test ratio printed, use THRESH = 0. 00076 *> \endverbatim 00077 *> 00078 *> \param[in] TSTERR 00079 *> \verbatim 00080 *> TSTERR is LOGICAL 00081 *> Flag that indicates whether error exits are to be tested. 00082 *> \endverbatim 00083 *> 00084 *> \param[in] NMAX 00085 *> \verbatim 00086 *> NMAX is INTEGER 00087 *> The maximum value permitted for N, used in dimensioning the 00088 *> work arrays. 00089 *> \endverbatim 00090 *> 00091 *> \param[out] A 00092 *> \verbatim 00093 *> A is REAL array, dimension (NMAX*NMAX) 00094 *> \endverbatim 00095 *> 00096 *> \param[out] AFAC 00097 *> \verbatim 00098 *> AFAC is REAL array, dimension (NMAX*NMAX) 00099 *> \endverbatim 00100 *> 00101 *> \param[out] ASAV 00102 *> \verbatim 00103 *> ASAV is REAL array, dimension (NMAX*NMAX) 00104 *> \endverbatim 00105 *> 00106 *> \param[out] B 00107 *> \verbatim 00108 *> B is REAL array, dimension (NMAX*NRHS) 00109 *> \endverbatim 00110 *> 00111 *> \param[out] BSAV 00112 *> \verbatim 00113 *> BSAV is REAL array, dimension (NMAX*NRHS) 00114 *> \endverbatim 00115 *> 00116 *> \param[out] X 00117 *> \verbatim 00118 *> X is REAL array, dimension (NMAX*NRHS) 00119 *> \endverbatim 00120 *> 00121 *> \param[out] XACT 00122 *> \verbatim 00123 *> XACT is REAL array, dimension (NMAX*NRHS) 00124 *> \endverbatim 00125 *> 00126 *> \param[out] S 00127 *> \verbatim 00128 *> S is REAL array, dimension (2*NMAX) 00129 *> \endverbatim 00130 *> 00131 *> \param[out] WORK 00132 *> \verbatim 00133 *> WORK is REAL array, dimension 00134 *> (NMAX*max(3,NRHS)) 00135 *> \endverbatim 00136 *> 00137 *> \param[out] RWORK 00138 *> \verbatim 00139 *> RWORK is REAL array, dimension (2*NRHS+NMAX) 00140 *> \endverbatim 00141 *> 00142 *> \param[out] IWORK 00143 *> \verbatim 00144 *> IWORK is INTEGER array, dimension (2*NMAX) 00145 *> \endverbatim 00146 *> 00147 *> \param[in] NOUT 00148 *> \verbatim 00149 *> NOUT is INTEGER 00150 *> The unit number for output. 00151 *> \endverbatim 00152 * 00153 * Authors: 00154 * ======== 00155 * 00156 *> \author Univ. of Tennessee 00157 *> \author Univ. of California Berkeley 00158 *> \author Univ. of Colorado Denver 00159 *> \author NAG Ltd. 00160 * 00161 *> \date April 2012 00162 * 00163 *> \ingroup single_lin 00164 * 00165 * ===================================================================== 00166 SUBROUTINE SDRVGE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, 00167 $ A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK, 00168 $ RWORK, IWORK, NOUT ) 00169 * 00170 * -- LAPACK test routine (version 3.4.1) -- 00171 * -- LAPACK is a software package provided by Univ. of Tennessee, -- 00172 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 00173 * April 2012 00174 * 00175 * .. Scalar Arguments .. 00176 LOGICAL TSTERR 00177 INTEGER NMAX, NN, NOUT, NRHS 00178 REAL THRESH 00179 * .. 00180 * .. Array Arguments .. 00181 LOGICAL DOTYPE( * ) 00182 INTEGER IWORK( * ), NVAL( * ) 00183 REAL A( * ), AFAC( * ), ASAV( * ), B( * ), 00184 $ BSAV( * ), RWORK( * ), S( * ), WORK( * ), 00185 $ X( * ), XACT( * ) 00186 * .. 00187 * 00188 * ===================================================================== 00189 * 00190 * .. Parameters .. 00191 REAL ONE, ZERO 00192 PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 ) 00193 INTEGER NTYPES 00194 PARAMETER ( NTYPES = 11 ) 00195 INTEGER NTESTS 00196 PARAMETER ( NTESTS = 7 ) 00197 INTEGER NTRAN 00198 PARAMETER ( NTRAN = 3 ) 00199 * .. 00200 * .. Local Scalars .. 00201 LOGICAL EQUIL, NOFACT, PREFAC, TRFCON, ZEROT 00202 CHARACTER DIST, EQUED, FACT, TRANS, TYPE, XTYPE 00203 CHARACTER*3 PATH 00204 INTEGER I, IEQUED, IFACT, IMAT, IN, INFO, IOFF, ITRAN, 00205 $ IZERO, K, K1, KL, KU, LDA, LWORK, MODE, N, NB, 00206 $ NBMIN, NERRS, NFACT, NFAIL, NIMAT, NRUN, NT, 00207 $ N_ERR_BNDS 00208 REAL AINVNM, AMAX, ANORM, ANORMI, ANORMO, CNDNUM, 00209 $ COLCND, RCOND, RCONDC, RCONDI, RCONDO, ROLDC, 00210 $ ROLDI, ROLDO, ROWCND, RPVGRW, RPVGRW_SVXX 00211 * .. 00212 * .. Local Arrays .. 00213 CHARACTER EQUEDS( 4 ), FACTS( 3 ), TRANSS( NTRAN ) 00214 INTEGER ISEED( 4 ), ISEEDY( 4 ) 00215 REAL RESULT( NTESTS ), BERR( NRHS ), 00216 $ ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 ) 00217 * .. 00218 * .. External Functions .. 00219 LOGICAL LSAME 00220 REAL SGET06, SLAMCH, SLANGE, SLANTR, SLA_GERPVGRW 00221 EXTERNAL LSAME, SGET06, SLAMCH, SLANGE, SLANTR, 00222 $ SLA_GERPVGRW 00223 * .. 00224 * .. External Subroutines .. 00225 EXTERNAL ALADHD, ALAERH, ALASVM, SERRVX, SGEEQU, SGESV, 00226 $ SGESVX, SGET01, SGET02, SGET04, SGET07, SGETRF, 00227 $ SGETRI, SLACPY, SLAQGE, SLARHS, SLASET, SLATB4, 00228 $ SLATMS, XLAENV, SGESVXX 00229 * .. 00230 * .. Intrinsic Functions .. 00231 INTRINSIC ABS, MAX 00232 * .. 00233 * .. Scalars in Common .. 00234 LOGICAL LERR, OK 00235 CHARACTER*32 SRNAMT 00236 INTEGER INFOT, NUNIT 00237 * .. 00238 * .. Common blocks .. 00239 COMMON / INFOC / INFOT, NUNIT, OK, LERR 00240 COMMON / SRNAMC / SRNAMT 00241 * .. 00242 * .. Data statements .. 00243 DATA ISEEDY / 1988, 1989, 1990, 1991 / 00244 DATA TRANSS / 'N', 'T', 'C' / 00245 DATA FACTS / 'F', 'N', 'E' / 00246 DATA EQUEDS / 'N', 'R', 'C', 'B' / 00247 * .. 00248 * .. Executable Statements .. 00249 * 00250 * Initialize constants and the random number seed. 00251 * 00252 PATH( 1: 1 ) = 'Single precision' 00253 PATH( 2: 3 ) = 'GE' 00254 NRUN = 0 00255 NFAIL = 0 00256 NERRS = 0 00257 DO 10 I = 1, 4 00258 ISEED( I ) = ISEEDY( I ) 00259 10 CONTINUE 00260 * 00261 * Test the error exits 00262 * 00263 IF( TSTERR ) 00264 $ CALL SERRVX( PATH, NOUT ) 00265 INFOT = 0 00266 * 00267 * Set the block size and minimum block size for testing. 00268 * 00269 NB = 1 00270 NBMIN = 2 00271 CALL XLAENV( 1, NB ) 00272 CALL XLAENV( 2, NBMIN ) 00273 * 00274 * Do for each value of N in NVAL 00275 * 00276 DO 90 IN = 1, NN 00277 N = NVAL( IN ) 00278 LDA = MAX( N, 1 ) 00279 XTYPE = 'N' 00280 NIMAT = NTYPES 00281 IF( N.LE.0 ) 00282 $ NIMAT = 1 00283 * 00284 DO 80 IMAT = 1, NIMAT 00285 * 00286 * Do the tests only if DOTYPE( IMAT ) is true. 00287 * 00288 IF( .NOT.DOTYPE( IMAT ) ) 00289 $ GO TO 80 00290 * 00291 * Skip types 5, 6, or 7 if the matrix size is too small. 00292 * 00293 ZEROT = IMAT.GE.5 .AND. IMAT.LE.7 00294 IF( ZEROT .AND. N.LT.IMAT-4 ) 00295 $ GO TO 80 00296 * 00297 * Set up parameters with SLATB4 and generate a test matrix 00298 * with SLATMS. 00299 * 00300 CALL SLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE, 00301 $ CNDNUM, DIST ) 00302 RCONDC = ONE / CNDNUM 00303 * 00304 SRNAMT = 'SLATMS' 00305 CALL SLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, CNDNUM, 00306 $ ANORM, KL, KU, 'No packing', A, LDA, WORK, 00307 $ INFO ) 00308 * 00309 * Check error code from SLATMS. 00310 * 00311 IF( INFO.NE.0 ) THEN 00312 CALL ALAERH( PATH, 'SLATMS', INFO, 0, ' ', N, N, -1, -1, 00313 $ -1, IMAT, NFAIL, NERRS, NOUT ) 00314 GO TO 80 00315 END IF 00316 * 00317 * For types 5-7, zero one or more columns of the matrix to 00318 * test that INFO is returned correctly. 00319 * 00320 IF( ZEROT ) THEN 00321 IF( IMAT.EQ.5 ) THEN 00322 IZERO = 1 00323 ELSE IF( IMAT.EQ.6 ) THEN 00324 IZERO = N 00325 ELSE 00326 IZERO = N / 2 + 1 00327 END IF 00328 IOFF = ( IZERO-1 )*LDA 00329 IF( IMAT.LT.7 ) THEN 00330 DO 20 I = 1, N 00331 A( IOFF+I ) = ZERO 00332 20 CONTINUE 00333 ELSE 00334 CALL SLASET( 'Full', N, N-IZERO+1, ZERO, ZERO, 00335 $ A( IOFF+1 ), LDA ) 00336 END IF 00337 ELSE 00338 IZERO = 0 00339 END IF 00340 * 00341 * Save a copy of the matrix A in ASAV. 00342 * 00343 CALL SLACPY( 'Full', N, N, A, LDA, ASAV, LDA ) 00344 * 00345 DO 70 IEQUED = 1, 4 00346 EQUED = EQUEDS( IEQUED ) 00347 IF( IEQUED.EQ.1 ) THEN 00348 NFACT = 3 00349 ELSE 00350 NFACT = 1 00351 END IF 00352 * 00353 DO 60 IFACT = 1, NFACT 00354 FACT = FACTS( IFACT ) 00355 PREFAC = LSAME( FACT, 'F' ) 00356 NOFACT = LSAME( FACT, 'N' ) 00357 EQUIL = LSAME( FACT, 'E' ) 00358 * 00359 IF( ZEROT ) THEN 00360 IF( PREFAC ) 00361 $ GO TO 60 00362 RCONDO = ZERO 00363 RCONDI = ZERO 00364 * 00365 ELSE IF( .NOT.NOFACT ) THEN 00366 * 00367 * Compute the condition number for comparison with 00368 * the value returned by SGESVX (FACT = 'N' reuses 00369 * the condition number from the previous iteration 00370 * with FACT = 'F'). 00371 * 00372 CALL SLACPY( 'Full', N, N, ASAV, LDA, AFAC, LDA ) 00373 IF( EQUIL .OR. IEQUED.GT.1 ) THEN 00374 * 00375 * Compute row and column scale factors to 00376 * equilibrate the matrix A. 00377 * 00378 CALL SGEEQU( N, N, AFAC, LDA, S, S( N+1 ), 00379 $ ROWCND, COLCND, AMAX, INFO ) 00380 IF( INFO.EQ.0 .AND. N.GT.0 ) THEN 00381 IF( LSAME( EQUED, 'R' ) ) THEN 00382 ROWCND = ZERO 00383 COLCND = ONE 00384 ELSE IF( LSAME( EQUED, 'C' ) ) THEN 00385 ROWCND = ONE 00386 COLCND = ZERO 00387 ELSE IF( LSAME( EQUED, 'B' ) ) THEN 00388 ROWCND = ZERO 00389 COLCND = ZERO 00390 END IF 00391 * 00392 * Equilibrate the matrix. 00393 * 00394 CALL SLAQGE( N, N, AFAC, LDA, S, S( N+1 ), 00395 $ ROWCND, COLCND, AMAX, EQUED ) 00396 END IF 00397 END IF 00398 * 00399 * Save the condition number of the non-equilibrated 00400 * system for use in SGET04. 00401 * 00402 IF( EQUIL ) THEN 00403 ROLDO = RCONDO 00404 ROLDI = RCONDI 00405 END IF 00406 * 00407 * Compute the 1-norm and infinity-norm of A. 00408 * 00409 ANORMO = SLANGE( '1', N, N, AFAC, LDA, RWORK ) 00410 ANORMI = SLANGE( 'I', N, N, AFAC, LDA, RWORK ) 00411 * 00412 * Factor the matrix A. 00413 * 00414 CALL SGETRF( N, N, AFAC, LDA, IWORK, INFO ) 00415 * 00416 * Form the inverse of A. 00417 * 00418 CALL SLACPY( 'Full', N, N, AFAC, LDA, A, LDA ) 00419 LWORK = NMAX*MAX( 3, NRHS ) 00420 CALL SGETRI( N, A, LDA, IWORK, WORK, LWORK, INFO ) 00421 * 00422 * Compute the 1-norm condition number of A. 00423 * 00424 AINVNM = SLANGE( '1', N, N, A, LDA, RWORK ) 00425 IF( ANORMO.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN 00426 RCONDO = ONE 00427 ELSE 00428 RCONDO = ( ONE / ANORMO ) / AINVNM 00429 END IF 00430 * 00431 * Compute the infinity-norm condition number of A. 00432 * 00433 AINVNM = SLANGE( 'I', N, N, A, LDA, RWORK ) 00434 IF( ANORMI.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN 00435 RCONDI = ONE 00436 ELSE 00437 RCONDI = ( ONE / ANORMI ) / AINVNM 00438 END IF 00439 END IF 00440 * 00441 DO 50 ITRAN = 1, NTRAN 00442 * 00443 * Do for each value of TRANS. 00444 * 00445 TRANS = TRANSS( ITRAN ) 00446 IF( ITRAN.EQ.1 ) THEN 00447 RCONDC = RCONDO 00448 ELSE 00449 RCONDC = RCONDI 00450 END IF 00451 * 00452 * Restore the matrix A. 00453 * 00454 CALL SLACPY( 'Full', N, N, ASAV, LDA, A, LDA ) 00455 * 00456 * Form an exact solution and set the right hand side. 00457 * 00458 SRNAMT = 'SLARHS' 00459 CALL SLARHS( PATH, XTYPE, 'Full', TRANS, N, N, KL, 00460 $ KU, NRHS, A, LDA, XACT, LDA, B, LDA, 00461 $ ISEED, INFO ) 00462 XTYPE = 'C' 00463 CALL SLACPY( 'Full', N, NRHS, B, LDA, BSAV, LDA ) 00464 * 00465 IF( NOFACT .AND. ITRAN.EQ.1 ) THEN 00466 * 00467 * --- Test SGESV --- 00468 * 00469 * Compute the LU factorization of the matrix and 00470 * solve the system. 00471 * 00472 CALL SLACPY( 'Full', N, N, A, LDA, AFAC, LDA ) 00473 CALL SLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) 00474 * 00475 SRNAMT = 'SGESV ' 00476 CALL SGESV( N, NRHS, AFAC, LDA, IWORK, X, LDA, 00477 $ INFO ) 00478 * 00479 * Check error code from SGESV . 00480 * 00481 IF( INFO.NE.IZERO ) 00482 $ CALL ALAERH( PATH, 'SGESV ', INFO, IZERO, 00483 $ ' ', N, N, -1, -1, NRHS, IMAT, 00484 $ NFAIL, NERRS, NOUT ) 00485 * 00486 * Reconstruct matrix from factors and compute 00487 * residual. 00488 * 00489 CALL SGET01( N, N, A, LDA, AFAC, LDA, IWORK, 00490 $ RWORK, RESULT( 1 ) ) 00491 NT = 1 00492 IF( IZERO.EQ.0 ) THEN 00493 * 00494 * Compute residual of the computed solution. 00495 * 00496 CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, 00497 $ LDA ) 00498 CALL SGET02( 'No transpose', N, N, NRHS, A, 00499 $ LDA, X, LDA, WORK, LDA, RWORK, 00500 $ RESULT( 2 ) ) 00501 * 00502 * Check solution from generated exact solution. 00503 * 00504 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, 00505 $ RCONDC, RESULT( 3 ) ) 00506 NT = 3 00507 END IF 00508 * 00509 * Print information about the tests that did not 00510 * pass the threshold. 00511 * 00512 DO 30 K = 1, NT 00513 IF( RESULT( K ).GE.THRESH ) THEN 00514 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00515 $ CALL ALADHD( NOUT, PATH ) 00516 WRITE( NOUT, FMT = 9999 )'SGESV ', N, 00517 $ IMAT, K, RESULT( K ) 00518 NFAIL = NFAIL + 1 00519 END IF 00520 30 CONTINUE 00521 NRUN = NRUN + NT 00522 END IF 00523 * 00524 * --- Test SGESVX --- 00525 * 00526 IF( .NOT.PREFAC ) 00527 $ CALL SLASET( 'Full', N, N, ZERO, ZERO, AFAC, 00528 $ LDA ) 00529 CALL SLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDA ) 00530 IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN 00531 * 00532 * Equilibrate the matrix if FACT = 'F' and 00533 * EQUED = 'R', 'C', or 'B'. 00534 * 00535 CALL SLAQGE( N, N, A, LDA, S, S( N+1 ), ROWCND, 00536 $ COLCND, AMAX, EQUED ) 00537 END IF 00538 * 00539 * Solve the system and compute the condition number 00540 * and error bounds using SGESVX. 00541 * 00542 SRNAMT = 'SGESVX' 00543 CALL SGESVX( FACT, TRANS, N, NRHS, A, LDA, AFAC, 00544 $ LDA, IWORK, EQUED, S, S( N+1 ), B, 00545 $ LDA, X, LDA, RCOND, RWORK, 00546 $ RWORK( NRHS+1 ), WORK, IWORK( N+1 ), 00547 $ INFO ) 00548 * 00549 * Check the error code from SGESVX. 00550 * 00551 IF( INFO.NE.IZERO ) 00552 $ CALL ALAERH( PATH, 'SGESVX', INFO, IZERO, 00553 $ FACT // TRANS, N, N, -1, -1, NRHS, 00554 $ IMAT, NFAIL, NERRS, NOUT ) 00555 * 00556 * Compare WORK(1) from SGESVX with the computed 00557 * reciprocal pivot growth factor RPVGRW 00558 * 00559 IF( INFO.NE.0 ) THEN 00560 RPVGRW = SLANTR( 'M', 'U', 'N', INFO, INFO, 00561 $ AFAC, LDA, WORK ) 00562 IF( RPVGRW.EQ.ZERO ) THEN 00563 RPVGRW = ONE 00564 ELSE 00565 RPVGRW = SLANGE( 'M', N, INFO, A, LDA, 00566 $ WORK ) / RPVGRW 00567 END IF 00568 ELSE 00569 RPVGRW = SLANTR( 'M', 'U', 'N', N, N, AFAC, LDA, 00570 $ WORK ) 00571 IF( RPVGRW.EQ.ZERO ) THEN 00572 RPVGRW = ONE 00573 ELSE 00574 RPVGRW = SLANGE( 'M', N, N, A, LDA, WORK ) / 00575 $ RPVGRW 00576 END IF 00577 END IF 00578 RESULT( 7 ) = ABS( RPVGRW-WORK( 1 ) ) / 00579 $ MAX( WORK( 1 ), RPVGRW ) / 00580 $ SLAMCH( 'E' ) 00581 * 00582 IF( .NOT.PREFAC ) THEN 00583 * 00584 * Reconstruct matrix from factors and compute 00585 * residual. 00586 * 00587 CALL SGET01( N, N, A, LDA, AFAC, LDA, IWORK, 00588 $ RWORK( 2*NRHS+1 ), RESULT( 1 ) ) 00589 K1 = 1 00590 ELSE 00591 K1 = 2 00592 END IF 00593 * 00594 IF( INFO.EQ.0 ) THEN 00595 TRFCON = .FALSE. 00596 * 00597 * Compute residual of the computed solution. 00598 * 00599 CALL SLACPY( 'Full', N, NRHS, BSAV, LDA, WORK, 00600 $ LDA ) 00601 CALL SGET02( TRANS, N, N, NRHS, ASAV, LDA, X, 00602 $ LDA, WORK, LDA, RWORK( 2*NRHS+1 ), 00603 $ RESULT( 2 ) ) 00604 * 00605 * Check solution from generated exact solution. 00606 * 00607 IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED, 00608 $ 'N' ) ) ) THEN 00609 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, 00610 $ RCONDC, RESULT( 3 ) ) 00611 ELSE 00612 IF( ITRAN.EQ.1 ) THEN 00613 ROLDC = ROLDO 00614 ELSE 00615 ROLDC = ROLDI 00616 END IF 00617 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, 00618 $ ROLDC, RESULT( 3 ) ) 00619 END IF 00620 * 00621 * Check the error bounds from iterative 00622 * refinement. 00623 * 00624 CALL SGET07( TRANS, N, NRHS, ASAV, LDA, B, LDA, 00625 $ X, LDA, XACT, LDA, RWORK, .TRUE., 00626 $ RWORK( NRHS+1 ), RESULT( 4 ) ) 00627 ELSE 00628 TRFCON = .TRUE. 00629 END IF 00630 * 00631 * Compare RCOND from SGESVX with the computed value 00632 * in RCONDC. 00633 * 00634 RESULT( 6 ) = SGET06( RCOND, RCONDC ) 00635 * 00636 * Print information about the tests that did not pass 00637 * the threshold. 00638 * 00639 IF( .NOT.TRFCON ) THEN 00640 DO 40 K = K1, NTESTS 00641 IF( RESULT( K ).GE.THRESH ) THEN 00642 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00643 $ CALL ALADHD( NOUT, PATH ) 00644 IF( PREFAC ) THEN 00645 WRITE( NOUT, FMT = 9997 )'SGESVX', 00646 $ FACT, TRANS, N, EQUED, IMAT, K, 00647 $ RESULT( K ) 00648 ELSE 00649 WRITE( NOUT, FMT = 9998 )'SGESVX', 00650 $ FACT, TRANS, N, IMAT, K, RESULT( K ) 00651 END IF 00652 NFAIL = NFAIL + 1 00653 END IF 00654 40 CONTINUE 00655 NRUN = NRUN + 7 - K1 00656 ELSE 00657 IF( RESULT( 1 ).GE.THRESH .AND. .NOT.PREFAC ) 00658 $ THEN 00659 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00660 $ CALL ALADHD( NOUT, PATH ) 00661 IF( PREFAC ) THEN 00662 WRITE( NOUT, FMT = 9997 )'SGESVX', FACT, 00663 $ TRANS, N, EQUED, IMAT, 1, RESULT( 1 ) 00664 ELSE 00665 WRITE( NOUT, FMT = 9998 )'SGESVX', FACT, 00666 $ TRANS, N, IMAT, 1, RESULT( 1 ) 00667 END IF 00668 NFAIL = NFAIL + 1 00669 NRUN = NRUN + 1 00670 END IF 00671 IF( RESULT( 6 ).GE.THRESH ) THEN 00672 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00673 $ CALL ALADHD( NOUT, PATH ) 00674 IF( PREFAC ) THEN 00675 WRITE( NOUT, FMT = 9997 )'SGESVX', FACT, 00676 $ TRANS, N, EQUED, IMAT, 6, RESULT( 6 ) 00677 ELSE 00678 WRITE( NOUT, FMT = 9998 )'SGESVX', FACT, 00679 $ TRANS, N, IMAT, 6, RESULT( 6 ) 00680 END IF 00681 NFAIL = NFAIL + 1 00682 NRUN = NRUN + 1 00683 END IF 00684 IF( RESULT( 7 ).GE.THRESH ) THEN 00685 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00686 $ CALL ALADHD( NOUT, PATH ) 00687 IF( PREFAC ) THEN 00688 WRITE( NOUT, FMT = 9997 )'SGESVX', FACT, 00689 $ TRANS, N, EQUED, IMAT, 7, RESULT( 7 ) 00690 ELSE 00691 WRITE( NOUT, FMT = 9998 )'SGESVX', FACT, 00692 $ TRANS, N, IMAT, 7, RESULT( 7 ) 00693 END IF 00694 NFAIL = NFAIL + 1 00695 NRUN = NRUN + 1 00696 END IF 00697 * 00698 END IF 00699 * 00700 * --- Test SGESVXX --- 00701 * 00702 * Restore the matrices A and B. 00703 * 00704 CALL SLACPY( 'Full', N, N, ASAV, LDA, A, LDA ) 00705 CALL SLACPY( 'Full', N, NRHS, BSAV, LDA, B, LDA ) 00706 00707 IF( .NOT.PREFAC ) 00708 $ CALL SLASET( 'Full', N, N, ZERO, ZERO, AFAC, 00709 $ LDA ) 00710 CALL SLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDA ) 00711 IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN 00712 * 00713 * Equilibrate the matrix if FACT = 'F' and 00714 * EQUED = 'R', 'C', or 'B'. 00715 * 00716 CALL SLAQGE( N, N, A, LDA, S, S( N+1 ), ROWCND, 00717 $ COLCND, AMAX, EQUED ) 00718 END IF 00719 * 00720 * Solve the system and compute the condition number 00721 * and error bounds using SGESVXX. 00722 * 00723 SRNAMT = 'SGESVXX' 00724 N_ERR_BNDS = 3 00725 CALL SGESVXX( FACT, TRANS, N, NRHS, A, LDA, AFAC, 00726 $ LDA, IWORK, EQUED, S, S( N+1 ), B, LDA, X, 00727 $ LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS, 00728 $ ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK, 00729 $ IWORK( N+1 ), INFO ) 00730 * 00731 * Check the error code from SGESVXX. 00732 * 00733 IF( INFO.EQ.N+1 ) GOTO 50 00734 IF( INFO.NE.IZERO ) THEN 00735 CALL ALAERH( PATH, 'SGESVXX', INFO, IZERO, 00736 $ FACT // TRANS, N, N, -1, -1, NRHS, 00737 $ IMAT, NFAIL, NERRS, NOUT ) 00738 GOTO 50 00739 END IF 00740 * 00741 * Compare rpvgrw_svxx from SGESVXX with the computed 00742 * reciprocal pivot growth factor RPVGRW 00743 * 00744 00745 IF ( INFO .GT. 0 .AND. INFO .LT. N+1 ) THEN 00746 RPVGRW = SLA_GERPVGRW 00747 $ (N, INFO, A, LDA, AFAC, LDA) 00748 ELSE 00749 RPVGRW = SLA_GERPVGRW 00750 $ (N, N, A, LDA, AFAC, LDA) 00751 ENDIF 00752 00753 RESULT( 7 ) = ABS( RPVGRW-RPVGRW_SVXX ) / 00754 $ MAX( RPVGRW_SVXX, RPVGRW ) / 00755 $ SLAMCH( 'E' ) 00756 * 00757 IF( .NOT.PREFAC ) THEN 00758 * 00759 * Reconstruct matrix from factors and compute 00760 * residual. 00761 * 00762 CALL SGET01( N, N, A, LDA, AFAC, LDA, IWORK, 00763 $ RWORK( 2*NRHS+1 ), RESULT( 1 ) ) 00764 K1 = 1 00765 ELSE 00766 K1 = 2 00767 END IF 00768 * 00769 IF( INFO.EQ.0 ) THEN 00770 TRFCON = .FALSE. 00771 * 00772 * Compute residual of the computed solution. 00773 * 00774 CALL SLACPY( 'Full', N, NRHS, BSAV, LDA, WORK, 00775 $ LDA ) 00776 CALL SGET02( TRANS, N, N, NRHS, ASAV, LDA, X, 00777 $ LDA, WORK, LDA, RWORK( 2*NRHS+1 ), 00778 $ RESULT( 2 ) ) 00779 * 00780 * Check solution from generated exact solution. 00781 * 00782 IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED, 00783 $ 'N' ) ) ) THEN 00784 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, 00785 $ RCONDC, RESULT( 3 ) ) 00786 ELSE 00787 IF( ITRAN.EQ.1 ) THEN 00788 ROLDC = ROLDO 00789 ELSE 00790 ROLDC = ROLDI 00791 END IF 00792 CALL SGET04( N, NRHS, X, LDA, XACT, LDA, 00793 $ ROLDC, RESULT( 3 ) ) 00794 END IF 00795 ELSE 00796 TRFCON = .TRUE. 00797 END IF 00798 * 00799 * Compare RCOND from SGESVXX with the computed value 00800 * in RCONDC. 00801 * 00802 RESULT( 6 ) = SGET06( RCOND, RCONDC ) 00803 * 00804 * Print information about the tests that did not pass 00805 * the threshold. 00806 * 00807 IF( .NOT.TRFCON ) THEN 00808 DO 45 K = K1, NTESTS 00809 IF( RESULT( K ).GE.THRESH ) THEN 00810 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00811 $ CALL ALADHD( NOUT, PATH ) 00812 IF( PREFAC ) THEN 00813 WRITE( NOUT, FMT = 9997 )'SGESVXX', 00814 $ FACT, TRANS, N, EQUED, IMAT, K, 00815 $ RESULT( K ) 00816 ELSE 00817 WRITE( NOUT, FMT = 9998 )'SGESVXX', 00818 $ FACT, TRANS, N, IMAT, K, RESULT( K ) 00819 END IF 00820 NFAIL = NFAIL + 1 00821 END IF 00822 45 CONTINUE 00823 NRUN = NRUN + 7 - K1 00824 ELSE 00825 IF( RESULT( 1 ).GE.THRESH .AND. .NOT.PREFAC ) 00826 $ THEN 00827 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00828 $ CALL ALADHD( NOUT, PATH ) 00829 IF( PREFAC ) THEN 00830 WRITE( NOUT, FMT = 9997 )'SGESVXX', FACT, 00831 $ TRANS, N, EQUED, IMAT, 1, RESULT( 1 ) 00832 ELSE 00833 WRITE( NOUT, FMT = 9998 )'SGESVXX', FACT, 00834 $ TRANS, N, IMAT, 1, RESULT( 1 ) 00835 END IF 00836 NFAIL = NFAIL + 1 00837 NRUN = NRUN + 1 00838 END IF 00839 IF( RESULT( 6 ).GE.THRESH ) THEN 00840 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00841 $ CALL ALADHD( NOUT, PATH ) 00842 IF( PREFAC ) THEN 00843 WRITE( NOUT, FMT = 9997 )'SGESVXX', FACT, 00844 $ TRANS, N, EQUED, IMAT, 6, RESULT( 6 ) 00845 ELSE 00846 WRITE( NOUT, FMT = 9998 )'SGESVXX', FACT, 00847 $ TRANS, N, IMAT, 6, RESULT( 6 ) 00848 END IF 00849 NFAIL = NFAIL + 1 00850 NRUN = NRUN + 1 00851 END IF 00852 IF( RESULT( 7 ).GE.THRESH ) THEN 00853 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00854 $ CALL ALADHD( NOUT, PATH ) 00855 IF( PREFAC ) THEN 00856 WRITE( NOUT, FMT = 9997 )'SGESVXX', FACT, 00857 $ TRANS, N, EQUED, IMAT, 7, RESULT( 7 ) 00858 ELSE 00859 WRITE( NOUT, FMT = 9998 )'SGESVXX', FACT, 00860 $ TRANS, N, IMAT, 7, RESULT( 7 ) 00861 END IF 00862 NFAIL = NFAIL + 1 00863 NRUN = NRUN + 1 00864 END IF 00865 * 00866 END IF 00867 * 00868 50 CONTINUE 00869 60 CONTINUE 00870 70 CONTINUE 00871 80 CONTINUE 00872 90 CONTINUE 00873 * 00874 * Print a summary of the results. 00875 * 00876 CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS ) 00877 * 00878 00879 * Test Error Bounds from SGESVXX 00880 00881 CALL SEBCHVXX(THRESH, PATH) 00882 00883 9999 FORMAT( 1X, A, ', N =', I5, ', type ', I2, ', test(', I2, ') =', 00884 $ G12.5 ) 00885 9998 FORMAT( 1X, A, ', FACT=''', A1, ''', TRANS=''', A1, ''', N=', I5, 00886 $ ', type ', I2, ', test(', I1, ')=', G12.5 ) 00887 9997 FORMAT( 1X, A, ', FACT=''', A1, ''', TRANS=''', A1, ''', N=', I5, 00888 $ ', EQUED=''', A1, ''', type ', I2, ', test(', I1, ')=', 00889 $ G12.5 ) 00890 RETURN 00891 * 00892 * End of SDRVGE 00893 * 00894 END