1*> \brief \b CCHKQ3 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 CCHKQ3( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL, 12* THRESH, A, COPYA, S, TAU, WORK, RWORK, 13* IWORK, NOUT ) 14* 15* .. Scalar Arguments .. 16* INTEGER NM, NN, NNB, NOUT 17* REAL THRESH 18* .. 19* .. Array Arguments .. 20* LOGICAL DOTYPE( * ) 21* INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ), 22* $ NXVAL( * ) 23* REAL S( * ), RWORK( * ) 24* COMPLEX A( * ), COPYA( * ), TAU( * ), WORK( * ) 25* .. 26* 27* 28*> \par Purpose: 29* ============= 30*> 31*> \verbatim 32*> 33*> CCHKQ3 tests CGEQP3. 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] NM 48*> \verbatim 49*> NM is INTEGER 50*> The number of values of M contained in the vector MVAL. 51*> \endverbatim 52*> 53*> \param[in] MVAL 54*> \verbatim 55*> MVAL is INTEGER array, dimension (NM) 56*> The values of the matrix row dimension M. 57*> \endverbatim 58*> 59*> \param[in] NN 60*> \verbatim 61*> NN is INTEGER 62*> The number of values of N contained in the vector NVAL. 63*> \endverbatim 64*> 65*> \param[in] NVAL 66*> \verbatim 67*> NVAL is INTEGER array, dimension (NN) 68*> The values of the matrix column dimension N. 69*> \endverbatim 70*> 71*> \param[in] NNB 72*> \verbatim 73*> NNB is INTEGER 74*> The number of values of NB and NX contained in the 75*> vectors NBVAL and NXVAL. The blocking parameters are used 76*> in pairs (NB,NX). 77*> \endverbatim 78*> 79*> \param[in] NBVAL 80*> \verbatim 81*> NBVAL is INTEGER array, dimension (NNB) 82*> The values of the blocksize NB. 83*> \endverbatim 84*> 85*> \param[in] NXVAL 86*> \verbatim 87*> NXVAL is INTEGER array, dimension (NNB) 88*> The values of the crossover point NX. 89*> \endverbatim 90*> 91*> \param[in] THRESH 92*> \verbatim 93*> THRESH is REAL 94*> The threshold value for the test ratios. A result is 95*> included in the output file if RESULT >= THRESH. To have 96*> every test ratio printed, use THRESH = 0. 97*> \endverbatim 98*> 99*> \param[out] A 100*> \verbatim 101*> A is COMPLEX array, dimension (MMAX*NMAX) 102*> where MMAX is the maximum value of M in MVAL and NMAX is the 103*> maximum value of N in NVAL. 104*> \endverbatim 105*> 106*> \param[out] COPYA 107*> \verbatim 108*> COPYA is COMPLEX array, dimension (MMAX*NMAX) 109*> \endverbatim 110*> 111*> \param[out] S 112*> \verbatim 113*> S is REAL array, dimension 114*> (min(MMAX,NMAX)) 115*> \endverbatim 116*> 117*> \param[out] TAU 118*> \verbatim 119*> TAU is COMPLEX array, dimension (MMAX) 120*> \endverbatim 121*> 122*> \param[out] WORK 123*> \verbatim 124*> WORK is COMPLEX array, dimension 125*> (max(M*max(M,N) + 4*min(M,N) + max(M,N))) 126*> \endverbatim 127*> 128*> \param[out] RWORK 129*> \verbatim 130*> RWORK is REAL array, dimension (4*NMAX) 131*> \endverbatim 132*> 133*> \param[out] IWORK 134*> \verbatim 135*> IWORK is INTEGER array, dimension (2*NMAX) 136*> \endverbatim 137*> 138*> \param[in] NOUT 139*> \verbatim 140*> NOUT is INTEGER 141*> The unit number for output. 142*> \endverbatim 143* 144* Authors: 145* ======== 146* 147*> \author Univ. of Tennessee 148*> \author Univ. of California Berkeley 149*> \author Univ. of Colorado Denver 150*> \author NAG Ltd. 151* 152*> \ingroup complex_lin 153* 154* ===================================================================== 155 SUBROUTINE CCHKQ3( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL, 156 $ THRESH, A, COPYA, S, TAU, WORK, RWORK, 157 $ IWORK, NOUT ) 158* 159* -- LAPACK test routine -- 160* -- LAPACK is a software package provided by Univ. of Tennessee, -- 161* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 162* 163* .. Scalar Arguments .. 164 INTEGER NM, NN, NNB, NOUT 165 REAL THRESH 166* .. 167* .. Array Arguments .. 168 LOGICAL DOTYPE( * ) 169 INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ), 170 $ NXVAL( * ) 171 REAL S( * ), RWORK( * ) 172 COMPLEX A( * ), COPYA( * ), TAU( * ), WORK( * ) 173* .. 174* 175* ===================================================================== 176* 177* .. Parameters .. 178 INTEGER NTYPES 179 PARAMETER ( NTYPES = 6 ) 180 INTEGER NTESTS 181 PARAMETER ( NTESTS = 3 ) 182 REAL ONE, ZERO 183 COMPLEX CZERO 184 PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0, 185 $ CZERO = ( 0.0E+0, 0.0E+0 ) ) 186* .. 187* .. Local Scalars .. 188 CHARACTER*3 PATH 189 INTEGER I, IHIGH, ILOW, IM, IMODE, IN, INB, INFO, 190 $ ISTEP, K, LDA, LW, LWORK, M, MNMIN, MODE, N, 191 $ NB, NERRS, NFAIL, NRUN, NX 192 REAL EPS 193* .. 194* .. Local Arrays .. 195 INTEGER ISEED( 4 ), ISEEDY( 4 ) 196 REAL RESULT( NTESTS ) 197* .. 198* .. External Functions .. 199 REAL CQPT01, CQRT11, CQRT12, SLAMCH 200 EXTERNAL CQPT01, CQRT11, CQRT12, SLAMCH 201* .. 202* .. External Subroutines .. 203 EXTERNAL ALAHD, ALASUM, CGEQP3, CLACPY, CLASET, CLATMS, 204 $ ICOPY, SLAORD, XLAENV 205* .. 206* .. Intrinsic Functions .. 207 INTRINSIC MAX, MIN 208* .. 209* .. Scalars in Common .. 210 LOGICAL LERR, OK 211 CHARACTER*32 SRNAMT 212 INTEGER INFOT, IOUNIT 213* .. 214* .. Common blocks .. 215 COMMON / INFOC / INFOT, IOUNIT, OK, LERR 216 COMMON / SRNAMC / SRNAMT 217* .. 218* .. Data statements .. 219 DATA ISEEDY / 1988, 1989, 1990, 1991 / 220* .. 221* .. Executable Statements .. 222* 223* Initialize constants and the random number seed. 224* 225 PATH( 1: 1 ) = 'Complex precision' 226 PATH( 2: 3 ) = 'Q3' 227 NRUN = 0 228 NFAIL = 0 229 NERRS = 0 230 DO 10 I = 1, 4 231 ISEED( I ) = ISEEDY( I ) 232 10 CONTINUE 233 EPS = SLAMCH( 'Epsilon' ) 234 INFOT = 0 235* 236 DO 90 IM = 1, NM 237* 238* Do for each value of M in MVAL. 239* 240 M = MVAL( IM ) 241 LDA = MAX( 1, M ) 242* 243 DO 80 IN = 1, NN 244* 245* Do for each value of N in NVAL. 246* 247 N = NVAL( IN ) 248 MNMIN = MIN( M, N ) 249 LWORK = MAX( 1, M*MAX( M, N )+4*MNMIN+MAX( M, N ) ) 250* 251 DO 70 IMODE = 1, NTYPES 252 IF( .NOT.DOTYPE( IMODE ) ) 253 $ GO TO 70 254* 255* Do for each type of matrix 256* 1: zero matrix 257* 2: one small singular value 258* 3: geometric distribution of singular values 259* 4: first n/2 columns fixed 260* 5: last n/2 columns fixed 261* 6: every second column fixed 262* 263 MODE = IMODE 264 IF( IMODE.GT.3 ) 265 $ MODE = 1 266* 267* Generate test matrix of size m by n using 268* singular value distribution indicated by `mode'. 269* 270 DO 20 I = 1, N 271 IWORK( I ) = 0 272 20 CONTINUE 273 IF( IMODE.EQ.1 ) THEN 274 CALL CLASET( 'Full', M, N, CZERO, CZERO, COPYA, LDA ) 275 DO 30 I = 1, MNMIN 276 S( I ) = ZERO 277 30 CONTINUE 278 ELSE 279 CALL CLATMS( M, N, 'Uniform', ISEED, 'Nonsymm', S, 280 $ MODE, ONE / EPS, ONE, M, N, 'No packing', 281 $ COPYA, LDA, WORK, INFO ) 282 IF( IMODE.GE.4 ) THEN 283 IF( IMODE.EQ.4 ) THEN 284 ILOW = 1 285 ISTEP = 1 286 IHIGH = MAX( 1, N / 2 ) 287 ELSE IF( IMODE.EQ.5 ) THEN 288 ILOW = MAX( 1, N / 2 ) 289 ISTEP = 1 290 IHIGH = N 291 ELSE IF( IMODE.EQ.6 ) THEN 292 ILOW = 1 293 ISTEP = 2 294 IHIGH = N 295 END IF 296 DO 40 I = ILOW, IHIGH, ISTEP 297 IWORK( I ) = 1 298 40 CONTINUE 299 END IF 300 CALL SLAORD( 'Decreasing', MNMIN, S, 1 ) 301 END IF 302* 303 DO 60 INB = 1, NNB 304* 305* Do for each pair of values (NB,NX) in NBVAL and NXVAL. 306* 307 NB = NBVAL( INB ) 308 CALL XLAENV( 1, NB ) 309 NX = NXVAL( INB ) 310 CALL XLAENV( 3, NX ) 311* 312* Save A and its singular values and a copy of 313* vector IWORK. 314* 315 CALL CLACPY( 'All', M, N, COPYA, LDA, A, LDA ) 316 CALL ICOPY( N, IWORK( 1 ), 1, IWORK( N+1 ), 1 ) 317* 318* Workspace needed. 319* 320 LW = NB*( N+1 ) 321* 322 SRNAMT = 'CGEQP3' 323 CALL CGEQP3( M, N, A, LDA, IWORK( N+1 ), TAU, WORK, 324 $ LW, RWORK, INFO ) 325* 326* Compute norm(svd(a) - svd(r)) 327* 328 RESULT( 1 ) = CQRT12( M, N, A, LDA, S, WORK, 329 $ LWORK, RWORK ) 330* 331* Compute norm( A*P - Q*R ) 332* 333 RESULT( 2 ) = CQPT01( M, N, MNMIN, COPYA, A, LDA, TAU, 334 $ IWORK( N+1 ), WORK, LWORK ) 335* 336* Compute Q'*Q 337* 338 RESULT( 3 ) = CQRT11( M, MNMIN, A, LDA, TAU, WORK, 339 $ LWORK ) 340* 341* Print information about the tests that did not pass 342* the threshold. 343* 344 DO 50 K = 1, NTESTS 345 IF( RESULT( K ).GE.THRESH ) THEN 346 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) 347 $ CALL ALAHD( NOUT, PATH ) 348 WRITE( NOUT, FMT = 9999 )'CGEQP3', M, N, NB, 349 $ IMODE, K, RESULT( K ) 350 NFAIL = NFAIL + 1 351 END IF 352 50 CONTINUE 353 NRUN = NRUN + NTESTS 354* 355 60 CONTINUE 356 70 CONTINUE 357 80 CONTINUE 358 90 CONTINUE 359* 360* Print a summary of the results. 361* 362 CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) 363* 364 9999 FORMAT( 1X, A, ' M =', I5, ', N =', I5, ', NB =', I4, ', type ', 365 $ I2, ', test ', I2, ', ratio =', G12.5 ) 366* 367* End of CCHKQ3 368* 369 END 370