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LAPACK
3.4.1
LAPACK: Linear Algebra PACKage
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00001 *> \brief \b SCHKRQ 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 SCHKRQ( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL, 00012 * NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AR, AC, 00013 * B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT ) 00014 * 00015 * .. Scalar Arguments .. 00016 * LOGICAL TSTERR 00017 * INTEGER NM, NMAX, NN, NNB, NOUT, NRHS 00018 * REAL THRESH 00019 * .. 00020 * .. Array Arguments .. 00021 * LOGICAL DOTYPE( * ) 00022 * INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ), 00023 * $ NXVAL( * ) 00024 * REAL A( * ), AC( * ), AF( * ), AQ( * ), AR( * ), 00025 * $ B( * ), RWORK( * ), TAU( * ), WORK( * ), 00026 * $ X( * ), XACT( * ) 00027 * .. 00028 * 00029 * 00030 *> \par Purpose: 00031 * ============= 00032 *> 00033 *> \verbatim 00034 *> 00035 *> SCHKRQ tests SGERQF, SORGRQ and SORMRQ. 00036 *> \endverbatim 00037 * 00038 * Arguments: 00039 * ========== 00040 * 00041 *> \param[in] DOTYPE 00042 *> \verbatim 00043 *> DOTYPE is LOGICAL array, dimension (NTYPES) 00044 *> The matrix types to be used for testing. Matrices of type j 00045 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = 00046 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. 00047 *> \endverbatim 00048 *> 00049 *> \param[in] NM 00050 *> \verbatim 00051 *> NM is INTEGER 00052 *> The number of values of M contained in the vector MVAL. 00053 *> \endverbatim 00054 *> 00055 *> \param[in] MVAL 00056 *> \verbatim 00057 *> MVAL is INTEGER array, dimension (NM) 00058 *> The values of the matrix row dimension M. 00059 *> \endverbatim 00060 *> 00061 *> \param[in] NN 00062 *> \verbatim 00063 *> NN is INTEGER 00064 *> The number of values of N contained in the vector NVAL. 00065 *> \endverbatim 00066 *> 00067 *> \param[in] NVAL 00068 *> \verbatim 00069 *> NVAL is INTEGER array, dimension (NN) 00070 *> The values of the matrix column dimension N. 00071 *> \endverbatim 00072 *> 00073 *> \param[in] NNB 00074 *> \verbatim 00075 *> NNB is INTEGER 00076 *> The number of values of NB and NX contained in the 00077 *> vectors NBVAL and NXVAL. The blocking parameters are used 00078 *> in pairs (NB,NX). 00079 *> \endverbatim 00080 *> 00081 *> \param[in] NBVAL 00082 *> \verbatim 00083 *> NBVAL is INTEGER array, dimension (NNB) 00084 *> The values of the blocksize NB. 00085 *> \endverbatim 00086 *> 00087 *> \param[in] NXVAL 00088 *> \verbatim 00089 *> NXVAL is INTEGER array, dimension (NNB) 00090 *> The values of the crossover point NX. 00091 *> \endverbatim 00092 *> 00093 *> \param[in] NRHS 00094 *> \verbatim 00095 *> NRHS is INTEGER 00096 *> The number of right hand side vectors to be generated for 00097 *> each linear system. 00098 *> \endverbatim 00099 *> 00100 *> \param[in] THRESH 00101 *> \verbatim 00102 *> THRESH is REAL 00103 *> The threshold value for the test ratios. A result is 00104 *> included in the output file if RESULT >= THRESH. To have 00105 *> every test ratio printed, use THRESH = 0. 00106 *> \endverbatim 00107 *> 00108 *> \param[in] TSTERR 00109 *> \verbatim 00110 *> TSTERR is LOGICAL 00111 *> Flag that indicates whether error exits are to be tested. 00112 *> \endverbatim 00113 *> 00114 *> \param[in] NMAX 00115 *> \verbatim 00116 *> NMAX is INTEGER 00117 *> The maximum value permitted for M or N, used in dimensioning 00118 *> the work arrays. 00119 *> \endverbatim 00120 *> 00121 *> \param[out] A 00122 *> \verbatim 00123 *> A is REAL array, dimension (NMAX*NMAX) 00124 *> \endverbatim 00125 *> 00126 *> \param[out] AF 00127 *> \verbatim 00128 *> AF is REAL array, dimension (NMAX*NMAX) 00129 *> \endverbatim 00130 *> 00131 *> \param[out] AQ 00132 *> \verbatim 00133 *> AQ is REAL array, dimension (NMAX*NMAX) 00134 *> \endverbatim 00135 *> 00136 *> \param[out] AR 00137 *> \verbatim 00138 *> AR is REAL array, dimension (NMAX*NMAX) 00139 *> \endverbatim 00140 *> 00141 *> \param[out] AC 00142 *> \verbatim 00143 *> AC is REAL array, dimension (NMAX*NMAX) 00144 *> \endverbatim 00145 *> 00146 *> \param[out] B 00147 *> \verbatim 00148 *> B is REAL array, dimension (NMAX*NRHS) 00149 *> \endverbatim 00150 *> 00151 *> \param[out] X 00152 *> \verbatim 00153 *> X is REAL array, dimension (NMAX*NRHS) 00154 *> \endverbatim 00155 *> 00156 *> \param[out] XACT 00157 *> \verbatim 00158 *> XACT is REAL array, dimension (NMAX*NRHS) 00159 *> \endverbatim 00160 *> 00161 *> \param[out] TAU 00162 *> \verbatim 00163 *> TAU is REAL array, dimension (NMAX) 00164 *> \endverbatim 00165 *> 00166 *> \param[out] WORK 00167 *> \verbatim 00168 *> WORK is REAL array, dimension (NMAX*NMAX) 00169 *> \endverbatim 00170 *> 00171 *> \param[out] RWORK 00172 *> \verbatim 00173 *> RWORK is REAL array, dimension (NMAX) 00174 *> \endverbatim 00175 *> 00176 *> \param[out] IWORK 00177 *> \verbatim 00178 *> IWORK is INTEGER array, dimension (NMAX) 00179 *> \endverbatim 00180 *> 00181 *> \param[in] NOUT 00182 *> \verbatim 00183 *> NOUT is INTEGER 00184 *> The unit number for output. 00185 *> \endverbatim 00186 * 00187 * Authors: 00188 * ======== 00189 * 00190 *> \author Univ. of Tennessee 00191 *> \author Univ. of California Berkeley 00192 *> \author Univ. of Colorado Denver 00193 *> \author NAG Ltd. 00194 * 00195 *> \date November 2011 00196 * 00197 *> \ingroup single_lin 00198 * 00199 * ===================================================================== 00200 SUBROUTINE SCHKRQ( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL, 00201 $ NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AR, AC, 00202 $ B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT ) 00203 * 00204 * -- LAPACK test routine (version 3.4.0) -- 00205 * -- LAPACK is a software package provided by Univ. of Tennessee, -- 00206 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 00207 * November 2011 00208 * 00209 * .. Scalar Arguments .. 00210 LOGICAL TSTERR 00211 INTEGER NM, NMAX, NN, NNB, NOUT, NRHS 00212 REAL THRESH 00213 * .. 00214 * .. Array Arguments .. 00215 LOGICAL DOTYPE( * ) 00216 INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ), 00217 $ NXVAL( * ) 00218 REAL A( * ), AC( * ), AF( * ), AQ( * ), AR( * ), 00219 $ B( * ), RWORK( * ), TAU( * ), WORK( * ), 00220 $ X( * ), XACT( * ) 00221 * .. 00222 * 00223 * ===================================================================== 00224 * 00225 * .. Parameters .. 00226 INTEGER NTESTS 00227 PARAMETER ( NTESTS = 7 ) 00228 INTEGER NTYPES 00229 PARAMETER ( NTYPES = 8 ) 00230 REAL ZERO 00231 PARAMETER ( ZERO = 0.0E0 ) 00232 * .. 00233 * .. Local Scalars .. 00234 CHARACTER DIST, TYPE 00235 CHARACTER*3 PATH 00236 INTEGER I, IK, IM, IMAT, IN, INB, INFO, K, KL, KU, LDA, 00237 $ LWORK, M, MINMN, MODE, N, NB, NERRS, NFAIL, NK, 00238 $ NRUN, NT, NX 00239 REAL ANORM, CNDNUM 00240 * .. 00241 * .. Local Arrays .. 00242 INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 ) 00243 REAL RESULT( NTESTS ) 00244 * .. 00245 * .. External Subroutines .. 00246 EXTERNAL ALAERH, ALAHD, ALASUM, SERRRQ, SGERQS, SGET02, 00247 $ SLACPY, SLARHS, SLATB4, SLATMS, SRQT01, SRQT02, 00248 $ SRQT03, XLAENV 00249 * .. 00250 * .. Intrinsic Functions .. 00251 INTRINSIC MAX, MIN 00252 * .. 00253 * .. Scalars in Common .. 00254 LOGICAL LERR, OK 00255 CHARACTER*32 SRNAMT 00256 INTEGER INFOT, NUNIT 00257 * .. 00258 * .. Common blocks .. 00259 COMMON / INFOC / INFOT, NUNIT, OK, LERR 00260 COMMON / SRNAMC / SRNAMT 00261 * .. 00262 * .. Data statements .. 00263 DATA ISEEDY / 1988, 1989, 1990, 1991 / 00264 * .. 00265 * .. Executable Statements .. 00266 * 00267 * Initialize constants and the random number seed. 00268 * 00269 PATH( 1: 1 ) = 'Single precision' 00270 PATH( 2: 3 ) = 'RQ' 00271 NRUN = 0 00272 NFAIL = 0 00273 NERRS = 0 00274 DO 10 I = 1, 4 00275 ISEED( I ) = ISEEDY( I ) 00276 10 CONTINUE 00277 * 00278 * Test the error exits 00279 * 00280 IF( TSTERR ) 00281 $ CALL SERRRQ( PATH, NOUT ) 00282 INFOT = 0 00283 CALL XLAENV( 2, 2 ) 00284 * 00285 LDA = NMAX 00286 LWORK = NMAX*MAX( NMAX, NRHS ) 00287 * 00288 * Do for each value of M in MVAL. 00289 * 00290 DO 70 IM = 1, NM 00291 M = MVAL( IM ) 00292 * 00293 * Do for each value of N in NVAL. 00294 * 00295 DO 60 IN = 1, NN 00296 N = NVAL( IN ) 00297 MINMN = MIN( M, N ) 00298 DO 50 IMAT = 1, NTYPES 00299 * 00300 * Do the tests only if DOTYPE( IMAT ) is true. 00301 * 00302 IF( .NOT.DOTYPE( IMAT ) ) 00303 $ GO TO 50 00304 * 00305 * Set up parameters with SLATB4 and generate a test matrix 00306 * with SLATMS. 00307 * 00308 CALL SLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, 00309 $ CNDNUM, DIST ) 00310 * 00311 SRNAMT = 'SLATMS' 00312 CALL SLATMS( M, N, DIST, ISEED, TYPE, RWORK, MODE, 00313 $ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA, 00314 $ WORK, INFO ) 00315 * 00316 * Check error code from SLATMS. 00317 * 00318 IF( INFO.NE.0 ) THEN 00319 CALL ALAERH( PATH, 'SLATMS', INFO, 0, ' ', M, N, -1, 00320 $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) 00321 GO TO 50 00322 END IF 00323 * 00324 * Set some values for K: the first value must be MINMN, 00325 * corresponding to the call of SRQT01; other values are 00326 * used in the calls of SRQT02, and must not exceed MINMN. 00327 * 00328 KVAL( 1 ) = MINMN 00329 KVAL( 2 ) = 0 00330 KVAL( 3 ) = 1 00331 KVAL( 4 ) = MINMN / 2 00332 IF( MINMN.EQ.0 ) THEN 00333 NK = 1 00334 ELSE IF( MINMN.EQ.1 ) THEN 00335 NK = 2 00336 ELSE IF( MINMN.LE.3 ) THEN 00337 NK = 3 00338 ELSE 00339 NK = 4 00340 END IF 00341 * 00342 * Do for each value of K in KVAL 00343 * 00344 DO 40 IK = 1, NK 00345 K = KVAL( IK ) 00346 * 00347 * Do for each pair of values (NB,NX) in NBVAL and NXVAL. 00348 * 00349 DO 30 INB = 1, NNB 00350 NB = NBVAL( INB ) 00351 CALL XLAENV( 1, NB ) 00352 NX = NXVAL( INB ) 00353 CALL XLAENV( 3, NX ) 00354 DO I = 1, NTESTS 00355 RESULT( I ) = ZERO 00356 END DO 00357 NT = 2 00358 IF( IK.EQ.1 ) THEN 00359 * 00360 * Test SGERQF 00361 * 00362 CALL SRQT01( M, N, A, AF, AQ, AR, LDA, TAU, 00363 $ WORK, LWORK, RWORK, RESULT( 1 ) ) 00364 ELSE IF( M.LE.N ) THEN 00365 * 00366 * Test SORGRQ, using factorization 00367 * returned by SRQT01 00368 * 00369 CALL SRQT02( M, N, K, A, AF, AQ, AR, LDA, TAU, 00370 $ WORK, LWORK, RWORK, RESULT( 1 ) ) 00371 END IF 00372 IF( M.GE.K ) THEN 00373 * 00374 * Test SORMRQ, using factorization returned 00375 * by SRQT01 00376 * 00377 CALL SRQT03( M, N, K, AF, AC, AR, AQ, LDA, TAU, 00378 $ WORK, LWORK, RWORK, RESULT( 3 ) ) 00379 NT = NT + 4 00380 * 00381 * If M>=N and K=N, call SGERQS to solve a system 00382 * with NRHS right hand sides and compute the 00383 * residual. 00384 * 00385 IF( K.EQ.M .AND. INB.EQ.1 ) THEN 00386 * 00387 * Generate a solution and set the right 00388 * hand side. 00389 * 00390 SRNAMT = 'SLARHS' 00391 CALL SLARHS( PATH, 'New', 'Full', 00392 $ 'No transpose', M, N, 0, 0, 00393 $ NRHS, A, LDA, XACT, LDA, B, LDA, 00394 $ ISEED, INFO ) 00395 * 00396 CALL SLACPY( 'Full', M, NRHS, B, LDA, 00397 $ X( N-M+1 ), LDA ) 00398 SRNAMT = 'SGERQS' 00399 CALL SGERQS( M, N, NRHS, AF, LDA, TAU, X, 00400 $ LDA, WORK, LWORK, INFO ) 00401 * 00402 * Check error code from SGERQS. 00403 * 00404 IF( INFO.NE.0 ) 00405 $ CALL ALAERH( PATH, 'SGERQS', INFO, 0, ' ', 00406 $ M, N, NRHS, -1, NB, IMAT, 00407 $ NFAIL, NERRS, NOUT ) 00408 * 00409 CALL SGET02( 'No transpose', M, N, NRHS, A, 00410 $ LDA, X, LDA, B, LDA, RWORK, 00411 $ RESULT( 7 ) ) 00412 NT = NT + 1 00413 END IF 00414 END IF 00415 * 00416 * Print information about the tests that did not 00417 * pass the threshold. 00418 * 00419 DO 20 I = 1, NTESTS 00420 IF( RESULT( I ).GE.THRESH ) THEN 00421 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 00422 $ CALL ALAHD( NOUT, PATH ) 00423 WRITE( NOUT, FMT = 9999 )M, N, K, NB, NX, 00424 $ IMAT, I, RESULT( I ) 00425 NFAIL = NFAIL + 1 00426 END IF 00427 20 CONTINUE 00428 NRUN = NRUN + NT 00429 30 CONTINUE 00430 40 CONTINUE 00431 50 CONTINUE 00432 60 CONTINUE 00433 70 CONTINUE 00434 * 00435 * Print a summary of the results. 00436 * 00437 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) 00438 * 00439 9999 FORMAT( ' M=', I5, ', N=', I5, ', K=', I5, ', NB=', I4, ', NX=', 00440 $ I5, ', type ', I2, ', test(', I2, ')=', G12.5 ) 00441 RETURN 00442 * 00443 * End of SCHKRQ 00444 * 00445 END