LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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sdrvgex.f
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1*> \brief \b SDRVGEX
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 SDRVGE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
12* A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
13* RWORK, IWORK, NOUT )
14*
15* .. Scalar Arguments ..
16* LOGICAL TSTERR
17* INTEGER NMAX, NN, NOUT, NRHS
18* REAL THRESH
19* ..
20* .. Array Arguments ..
21* LOGICAL DOTYPE( * )
22* INTEGER IWORK( * ), NVAL( * )
23* REAL A( * ), AFAC( * ), ASAV( * ), B( * ),
24* $ BSAV( * ), RWORK( * ), S( * ), WORK( * ),
25* $ X( * ), XACT( * )
26* ..
27*
28*
29*> \par Purpose:
30* =============
31*>
32*> \verbatim
33*>
34*> SDRVGE tests the driver routines SGESV, -SVX, and -SVXX.
35*>
36*> Note that this file is used only when the XBLAS are available,
37*> otherwise sdrvge.f defines this subroutine.
38*> \endverbatim
39*
40* Arguments:
41* ==========
42*
43*> \param[in] DOTYPE
44*> \verbatim
45*> DOTYPE is LOGICAL array, dimension (NTYPES)
46*> The matrix types to be used for testing. Matrices of type j
47*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
48*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
49*> \endverbatim
50*>
51*> \param[in] NN
52*> \verbatim
53*> NN is INTEGER
54*> The number of values of N contained in the vector NVAL.
55*> \endverbatim
56*>
57*> \param[in] NVAL
58*> \verbatim
59*> NVAL is INTEGER array, dimension (NN)
60*> The values of the matrix column dimension N.
61*> \endverbatim
62*>
63*> \param[in] NRHS
64*> \verbatim
65*> NRHS is INTEGER
66*> The number of right hand side vectors to be generated for
67*> each linear system.
68*> \endverbatim
69*>
70*> \param[in] THRESH
71*> \verbatim
72*> THRESH is REAL
73*> The threshold value for the test ratios. A result is
74*> included in the output file if RESULT >= THRESH. To have
75*> every test ratio printed, use THRESH = 0.
76*> \endverbatim
77*>
78*> \param[in] TSTERR
79*> \verbatim
80*> TSTERR is LOGICAL
81*> Flag that indicates whether error exits are to be tested.
82*> \endverbatim
83*>
84*> \param[in] NMAX
85*> \verbatim
86*> NMAX is INTEGER
87*> The maximum value permitted for N, used in dimensioning the
88*> work arrays.
89*> \endverbatim
90*>
91*> \param[out] A
92*> \verbatim
93*> A is REAL array, dimension (NMAX*NMAX)
94*> \endverbatim
95*>
96*> \param[out] AFAC
97*> \verbatim
98*> AFAC is REAL array, dimension (NMAX*NMAX)
99*> \endverbatim
100*>
101*> \param[out] ASAV
102*> \verbatim
103*> ASAV is REAL array, dimension (NMAX*NMAX)
104*> \endverbatim
105*>
106*> \param[out] B
107*> \verbatim
108*> B is REAL array, dimension (NMAX*NRHS)
109*> \endverbatim
110*>
111*> \param[out] BSAV
112*> \verbatim
113*> BSAV is REAL array, dimension (NMAX*NRHS)
114*> \endverbatim
115*>
116*> \param[out] X
117*> \verbatim
118*> X is REAL array, dimension (NMAX*NRHS)
119*> \endverbatim
120*>
121*> \param[out] XACT
122*> \verbatim
123*> XACT is REAL array, dimension (NMAX*NRHS)
124*> \endverbatim
125*>
126*> \param[out] S
127*> \verbatim
128*> S is REAL array, dimension (2*NMAX)
129*> \endverbatim
130*>
131*> \param[out] WORK
132*> \verbatim
133*> WORK is REAL array, dimension
134*> (NMAX*max(3,NRHS))
135*> \endverbatim
136*>
137*> \param[out] RWORK
138*> \verbatim
139*> RWORK is REAL array, dimension (2*NRHS+NMAX)
140*> \endverbatim
141*>
142*> \param[out] IWORK
143*> \verbatim
144*> IWORK is INTEGER array, dimension (2*NMAX)
145*> \endverbatim
146*>
147*> \param[in] NOUT
148*> \verbatim
149*> NOUT is INTEGER
150*> The unit number for output.
151*> \endverbatim
152*
153* Authors:
154* ========
155*
156*> \author Univ. of Tennessee
157*> \author Univ. of California Berkeley
158*> \author Univ. of Colorado Denver
159*> \author NAG Ltd.
160*
161*> \ingroup single_lin
162*
163* =====================================================================
164 SUBROUTINE sdrvge( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
165 $ A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
166 $ RWORK, IWORK, NOUT )
167*
168* -- LAPACK test routine --
169* -- LAPACK is a software package provided by Univ. of Tennessee, --
170* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
171*
172* .. Scalar Arguments ..
173 LOGICAL TSTERR
174 INTEGER NMAX, NN, NOUT, NRHS
175 REAL THRESH
176* ..
177* .. Array Arguments ..
178 LOGICAL DOTYPE( * )
179 INTEGER IWORK( * ), NVAL( * )
180 REAL A( * ), AFAC( * ), ASAV( * ), B( * ),
181 $ bsav( * ), rwork( * ), s( * ), work( * ),
182 $ x( * ), xact( * )
183* ..
184*
185* =====================================================================
186*
187* .. Parameters ..
188 REAL ONE, ZERO
189 PARAMETER ( ONE = 1.0e+0, zero = 0.0e+0 )
190 INTEGER NTYPES
191 parameter( ntypes = 11 )
192 INTEGER NTESTS
193 parameter( ntests = 7 )
194 INTEGER NTRAN
195 parameter( ntran = 3 )
196* ..
197* .. Local Scalars ..
198 LOGICAL EQUIL, NOFACT, PREFAC, TRFCON, ZEROT
199 CHARACTER DIST, EQUED, FACT, TRANS, TYPE, XTYPE
200 CHARACTER*3 PATH
201 INTEGER I, IEQUED, IFACT, IMAT, IN, INFO, IOFF, ITRAN,
202 $ izero, k, k1, kl, ku, lda, lwork, mode, n, nb,
203 $ nbmin, nerrs, nfact, nfail, nimat, nrun, nt,
204 $ n_err_bnds
205 REAL AINVNM, AMAX, ANORM, ANORMI, ANORMO, CNDNUM,
206 $ COLCND, RCOND, RCONDC, RCONDI, RCONDO, ROLDC,
207 $ roldi, roldo, rowcnd, rpvgrw, rpvgrw_svxx
208* ..
209* .. Local Arrays ..
210 CHARACTER EQUEDS( 4 ), FACTS( 3 ), TRANSS( NTRAN )
211 INTEGER ISEED( 4 ), ISEEDY( 4 )
212 REAL RESULT( NTESTS ), BERR( NRHS ),
213 $ errbnds_n( nrhs, 3 ), errbnds_c( nrhs, 3 )
214* ..
215* .. External Functions ..
216 LOGICAL LSAME
217 REAL SGET06, SLAMCH, SLANGE, SLANTR, SLA_GERPVGRW
218 EXTERNAL lsame, sget06, slamch, slange, slantr,
219 $ sla_gerpvgrw
220* ..
221* .. External Subroutines ..
222 EXTERNAL aladhd, alaerh, alasvm, serrvx, sgeequ, sgesv,
223 $ sgesvx, sget01, sget02, sget04, sget07, sgetrf,
224 $ sgetri, slacpy, slaqge, slarhs, slaset, slatb4,
225 $ slatms, xlaenv, sgesvxx
226* ..
227* .. Intrinsic Functions ..
228 INTRINSIC abs, max
229* ..
230* .. Scalars in Common ..
231 LOGICAL LERR, OK
232 CHARACTER*32 SRNAMT
233 INTEGER INFOT, NUNIT
234* ..
235* .. Common blocks ..
236 COMMON / infoc / infot, nunit, ok, lerr
237 COMMON / srnamc / srnamt
238* ..
239* .. Data statements ..
240 DATA iseedy / 1988, 1989, 1990, 1991 /
241 DATA transs / 'N', 'T', 'C' /
242 DATA facts / 'F', 'N', 'E' /
243 DATA equeds / 'N', 'R', 'C', 'B' /
244* ..
245* .. Executable Statements ..
246*
247* Initialize constants and the random number seed.
248*
249 path( 1: 1 ) = 'Single precision'
250 path( 2: 3 ) = 'GE'
251 nrun = 0
252 nfail = 0
253 nerrs = 0
254 DO 10 i = 1, 4
255 iseed( i ) = iseedy( i )
256 10 CONTINUE
257*
258* Test the error exits
259*
260 IF( tsterr )
261 $ CALL serrvx( path, nout )
262 infot = 0
263*
264* Set the block size and minimum block size for testing.
265*
266 nb = 1
267 nbmin = 2
268 CALL xlaenv( 1, nb )
269 CALL xlaenv( 2, nbmin )
270*
271* Do for each value of N in NVAL
272*
273 DO 90 in = 1, nn
274 n = nval( in )
275 lda = max( n, 1 )
276 xtype = 'N'
277 nimat = ntypes
278 IF( n.LE.0 )
279 $ nimat = 1
280*
281 DO 80 imat = 1, nimat
282*
283* Do the tests only if DOTYPE( IMAT ) is true.
284*
285 IF( .NOT.dotype( imat ) )
286 $ GO TO 80
287*
288* Skip types 5, 6, or 7 if the matrix size is too small.
289*
290 zerot = imat.GE.5 .AND. imat.LE.7
291 IF( zerot .AND. n.LT.imat-4 )
292 $ GO TO 80
293*
294* Set up parameters with SLATB4 and generate a test matrix
295* with SLATMS.
296*
297 CALL slatb4( path, imat, n, n, TYPE, kl, ku, anorm, mode,
298 $ cndnum, dist )
299 rcondc = one / cndnum
300*
301 srnamt = 'SLATMS'
302 CALL slatms( n, n, dist, iseed, TYPE, rwork, mode, cndnum,
303 $ anorm, kl, ku, 'No packing', a, lda, work,
304 $ info )
305*
306* Check error code from SLATMS.
307*
308 IF( info.NE.0 ) THEN
309 CALL alaerh( path, 'SLATMS', info, 0, ' ', n, n, -1, -1,
310 $ -1, imat, nfail, nerrs, nout )
311 GO TO 80
312 END IF
313*
314* For types 5-7, zero one or more columns of the matrix to
315* test that INFO is returned correctly.
316*
317 IF( zerot ) THEN
318 IF( imat.EQ.5 ) THEN
319 izero = 1
320 ELSE IF( imat.EQ.6 ) THEN
321 izero = n
322 ELSE
323 izero = n / 2 + 1
324 END IF
325 ioff = ( izero-1 )*lda
326 IF( imat.LT.7 ) THEN
327 DO 20 i = 1, n
328 a( ioff+i ) = zero
329 20 CONTINUE
330 ELSE
331 CALL slaset( 'Full', n, n-izero+1, zero, zero,
332 $ a( ioff+1 ), lda )
333 END IF
334 ELSE
335 izero = 0
336 END IF
337*
338* Save a copy of the matrix A in ASAV.
339*
340 CALL slacpy( 'Full', n, n, a, lda, asav, lda )
341*
342 DO 70 iequed = 1, 4
343 equed = equeds( iequed )
344 IF( iequed.EQ.1 ) THEN
345 nfact = 3
346 ELSE
347 nfact = 1
348 END IF
349*
350 DO 60 ifact = 1, nfact
351 fact = facts( ifact )
352 prefac = lsame( fact, 'F' )
353 nofact = lsame( fact, 'N' )
354 equil = lsame( fact, 'E' )
355*
356 IF( zerot ) THEN
357 IF( prefac )
358 $ GO TO 60
359 rcondo = zero
360 rcondi = zero
361*
362 ELSE IF( .NOT.nofact ) THEN
363*
364* Compute the condition number for comparison with
365* the value returned by SGESVX (FACT = 'N' reuses
366* the condition number from the previous iteration
367* with FACT = 'F').
368*
369 CALL slacpy( 'Full', n, n, asav, lda, afac, lda )
370 IF( equil .OR. iequed.GT.1 ) THEN
371*
372* Compute row and column scale factors to
373* equilibrate the matrix A.
374*
375 CALL sgeequ( n, n, afac, lda, s, s( n+1 ),
376 $ rowcnd, colcnd, amax, info )
377 IF( info.EQ.0 .AND. n.GT.0 ) THEN
378 IF( lsame( equed, 'R' ) ) THEN
379 rowcnd = zero
380 colcnd = one
381 ELSE IF( lsame( equed, 'C' ) ) THEN
382 rowcnd = one
383 colcnd = zero
384 ELSE IF( lsame( equed, 'B' ) ) THEN
385 rowcnd = zero
386 colcnd = zero
387 END IF
388*
389* Equilibrate the matrix.
390*
391 CALL slaqge( n, n, afac, lda, s, s( n+1 ),
392 $ rowcnd, colcnd, amax, equed )
393 END IF
394 END IF
395*
396* Save the condition number of the non-equilibrated
397* system for use in SGET04.
398*
399 IF( equil ) THEN
400 roldo = rcondo
401 roldi = rcondi
402 END IF
403*
404* Compute the 1-norm and infinity-norm of A.
405*
406 anormo = slange( '1', n, n, afac, lda, rwork )
407 anormi = slange( 'I', n, n, afac, lda, rwork )
408*
409* Factor the matrix A.
410*
411 CALL sgetrf( n, n, afac, lda, iwork, info )
412*
413* Form the inverse of A.
414*
415 CALL slacpy( 'Full', n, n, afac, lda, a, lda )
416 lwork = nmax*max( 3, nrhs )
417 CALL sgetri( n, a, lda, iwork, work, lwork, info )
418*
419* Compute the 1-norm condition number of A.
420*
421 ainvnm = slange( '1', n, n, a, lda, rwork )
422 IF( anormo.LE.zero .OR. ainvnm.LE.zero ) THEN
423 rcondo = one
424 ELSE
425 rcondo = ( one / anormo ) / ainvnm
426 END IF
427*
428* Compute the infinity-norm condition number of A.
429*
430 ainvnm = slange( 'I', n, n, a, lda, rwork )
431 IF( anormi.LE.zero .OR. ainvnm.LE.zero ) THEN
432 rcondi = one
433 ELSE
434 rcondi = ( one / anormi ) / ainvnm
435 END IF
436 END IF
437*
438 DO 50 itran = 1, ntran
439*
440* Do for each value of TRANS.
441*
442 trans = transs( itran )
443 IF( itran.EQ.1 ) THEN
444 rcondc = rcondo
445 ELSE
446 rcondc = rcondi
447 END IF
448*
449* Restore the matrix A.
450*
451 CALL slacpy( 'Full', n, n, asav, lda, a, lda )
452*
453* Form an exact solution and set the right hand side.
454*
455 srnamt = 'SLARHS'
456 CALL slarhs( path, xtype, 'Full', trans, n, n, kl,
457 $ ku, nrhs, a, lda, xact, lda, b, lda,
458 $ iseed, info )
459 xtype = 'C'
460 CALL slacpy( 'Full', n, nrhs, b, lda, bsav, lda )
461*
462 IF( nofact .AND. itran.EQ.1 ) THEN
463*
464* --- Test SGESV ---
465*
466* Compute the LU factorization of the matrix and
467* solve the system.
468*
469 CALL slacpy( 'Full', n, n, a, lda, afac, lda )
470 CALL slacpy( 'Full', n, nrhs, b, lda, x, lda )
471*
472 srnamt = 'SGESV '
473 CALL sgesv( n, nrhs, afac, lda, iwork, x, lda,
474 $ info )
475*
476* Check error code from SGESV .
477*
478 IF( info.NE.izero )
479 $ CALL alaerh( path, 'SGESV ', info, izero,
480 $ ' ', n, n, -1, -1, nrhs, imat,
481 $ nfail, nerrs, nout )
482*
483* Reconstruct matrix from factors and compute
484* residual.
485*
486 CALL sget01( n, n, a, lda, afac, lda, iwork,
487 $ rwork, result( 1 ) )
488 nt = 1
489 IF( izero.EQ.0 ) THEN
490*
491* Compute residual of the computed solution.
492*
493 CALL slacpy( 'Full', n, nrhs, b, lda, work,
494 $ lda )
495 CALL sget02( 'No transpose', n, n, nrhs, a,
496 $ lda, x, lda, work, lda, rwork,
497 $ result( 2 ) )
498*
499* Check solution from generated exact solution.
500*
501 CALL sget04( n, nrhs, x, lda, xact, lda,
502 $ rcondc, result( 3 ) )
503 nt = 3
504 END IF
505*
506* Print information about the tests that did not
507* pass the threshold.
508*
509 DO 30 k = 1, nt
510 IF( result( k ).GE.thresh ) THEN
511 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
512 $ CALL aladhd( nout, path )
513 WRITE( nout, fmt = 9999 )'SGESV ', n,
514 $ imat, k, result( k )
515 nfail = nfail + 1
516 END IF
517 30 CONTINUE
518 nrun = nrun + nt
519 END IF
520*
521* --- Test SGESVX ---
522*
523 IF( .NOT.prefac )
524 $ CALL slaset( 'Full', n, n, zero, zero, afac,
525 $ lda )
526 CALL slaset( 'Full', n, nrhs, zero, zero, x, lda )
527 IF( iequed.GT.1 .AND. n.GT.0 ) THEN
528*
529* Equilibrate the matrix if FACT = 'F' and
530* EQUED = 'R', 'C', or 'B'.
531*
532 CALL slaqge( n, n, a, lda, s, s( n+1 ), rowcnd,
533 $ colcnd, amax, equed )
534 END IF
535*
536* Solve the system and compute the condition number
537* and error bounds using SGESVX.
538*
539 srnamt = 'SGESVX'
540 CALL sgesvx( fact, trans, n, nrhs, a, lda, afac,
541 $ lda, iwork, equed, s, s( n+1 ), b,
542 $ lda, x, lda, rcond, rwork,
543 $ rwork( nrhs+1 ), work, iwork( n+1 ),
544 $ info )
545*
546* Check the error code from SGESVX.
547*
548 IF( info.NE.izero )
549 $ CALL alaerh( path, 'SGESVX', info, izero,
550 $ fact // trans, n, n, -1, -1, nrhs,
551 $ imat, nfail, nerrs, nout )
552*
553* Compare WORK(1) from SGESVX with the computed
554* reciprocal pivot growth factor RPVGRW
555*
556 IF( info.NE.0 ) THEN
557 rpvgrw = slantr( 'M', 'U', 'N', info, info,
558 $ afac, lda, work )
559 IF( rpvgrw.EQ.zero ) THEN
560 rpvgrw = one
561 ELSE
562 rpvgrw = slange( 'M', n, info, a, lda,
563 $ work ) / rpvgrw
564 END IF
565 ELSE
566 rpvgrw = slantr( 'M', 'U', 'N', n, n, afac, lda,
567 $ work )
568 IF( rpvgrw.EQ.zero ) THEN
569 rpvgrw = one
570 ELSE
571 rpvgrw = slange( 'M', n, n, a, lda, work ) /
572 $ rpvgrw
573 END IF
574 END IF
575 result( 7 ) = abs( rpvgrw-work( 1 ) ) /
576 $ max( work( 1 ), rpvgrw ) /
577 $ slamch( 'E' )
578*
579 IF( .NOT.prefac ) THEN
580*
581* Reconstruct matrix from factors and compute
582* residual.
583*
584 CALL sget01( n, n, a, lda, afac, lda, iwork,
585 $ rwork( 2*nrhs+1 ), result( 1 ) )
586 k1 = 1
587 ELSE
588 k1 = 2
589 END IF
590*
591 IF( info.EQ.0 ) THEN
592 trfcon = .false.
593*
594* Compute residual of the computed solution.
595*
596 CALL slacpy( 'Full', n, nrhs, bsav, lda, work,
597 $ lda )
598 CALL sget02( trans, n, n, nrhs, asav, lda, x,
599 $ lda, work, lda, rwork( 2*nrhs+1 ),
600 $ result( 2 ) )
601*
602* Check solution from generated exact solution.
603*
604 IF( nofact .OR. ( prefac .AND. lsame( equed,
605 $ 'N' ) ) ) THEN
606 CALL sget04( n, nrhs, x, lda, xact, lda,
607 $ rcondc, result( 3 ) )
608 ELSE
609 IF( itran.EQ.1 ) THEN
610 roldc = roldo
611 ELSE
612 roldc = roldi
613 END IF
614 CALL sget04( n, nrhs, x, lda, xact, lda,
615 $ roldc, result( 3 ) )
616 END IF
617*
618* Check the error bounds from iterative
619* refinement.
620*
621 CALL sget07( trans, n, nrhs, asav, lda, b, lda,
622 $ x, lda, xact, lda, rwork, .true.,
623 $ rwork( nrhs+1 ), result( 4 ) )
624 ELSE
625 trfcon = .true.
626 END IF
627*
628* Compare RCOND from SGESVX with the computed value
629* in RCONDC.
630*
631 result( 6 ) = sget06( rcond, rcondc )
632*
633* Print information about the tests that did not pass
634* the threshold.
635*
636 IF( .NOT.trfcon ) THEN
637 DO 40 k = k1, ntests
638 IF( result( k ).GE.thresh ) THEN
639 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
640 $ CALL aladhd( nout, path )
641 IF( prefac ) THEN
642 WRITE( nout, fmt = 9997 )'SGESVX',
643 $ fact, trans, n, equed, imat, k,
644 $ result( k )
645 ELSE
646 WRITE( nout, fmt = 9998 )'SGESVX',
647 $ fact, trans, n, imat, k, result( k )
648 END IF
649 nfail = nfail + 1
650 END IF
651 40 CONTINUE
652 nrun = nrun + 7 - k1
653 ELSE
654 IF( result( 1 ).GE.thresh .AND. .NOT.prefac )
655 $ THEN
656 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
657 $ CALL aladhd( nout, path )
658 IF( prefac ) THEN
659 WRITE( nout, fmt = 9997 )'SGESVX', fact,
660 $ trans, n, equed, imat, 1, result( 1 )
661 ELSE
662 WRITE( nout, fmt = 9998 )'SGESVX', fact,
663 $ trans, n, imat, 1, result( 1 )
664 END IF
665 nfail = nfail + 1
666 nrun = nrun + 1
667 END IF
668 IF( result( 6 ).GE.thresh ) THEN
669 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
670 $ CALL aladhd( nout, path )
671 IF( prefac ) THEN
672 WRITE( nout, fmt = 9997 )'SGESVX', fact,
673 $ trans, n, equed, imat, 6, result( 6 )
674 ELSE
675 WRITE( nout, fmt = 9998 )'SGESVX', fact,
676 $ trans, n, imat, 6, result( 6 )
677 END IF
678 nfail = nfail + 1
679 nrun = nrun + 1
680 END IF
681 IF( result( 7 ).GE.thresh ) THEN
682 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
683 $ CALL aladhd( nout, path )
684 IF( prefac ) THEN
685 WRITE( nout, fmt = 9997 )'SGESVX', fact,
686 $ trans, n, equed, imat, 7, result( 7 )
687 ELSE
688 WRITE( nout, fmt = 9998 )'SGESVX', fact,
689 $ trans, n, imat, 7, result( 7 )
690 END IF
691 nfail = nfail + 1
692 nrun = nrun + 1
693 END IF
694*
695 END IF
696*
697* --- Test SGESVXX ---
698*
699* Restore the matrices A and B.
700*
701 CALL slacpy( 'Full', n, n, asav, lda, a, lda )
702 CALL slacpy( 'Full', n, nrhs, bsav, lda, b, lda )
703
704 IF( .NOT.prefac )
705 $ CALL slaset( 'Full', n, n, zero, zero, afac,
706 $ lda )
707 CALL slaset( 'Full', n, nrhs, zero, zero, x, lda )
708 IF( iequed.GT.1 .AND. n.GT.0 ) THEN
709*
710* Equilibrate the matrix if FACT = 'F' and
711* EQUED = 'R', 'C', or 'B'.
712*
713 CALL slaqge( n, n, a, lda, s, s( n+1 ), rowcnd,
714 $ colcnd, amax, equed )
715 END IF
716*
717* Solve the system and compute the condition number
718* and error bounds using SGESVXX.
719*
720 srnamt = 'SGESVXX'
721 n_err_bnds = 3
722 CALL sgesvxx( fact, trans, n, nrhs, a, lda, afac,
723 $ lda, iwork, equed, s, s( n+1 ), b, lda, x,
724 $ lda, rcond, rpvgrw_svxx, berr, n_err_bnds,
725 $ errbnds_n, errbnds_c, 0, zero, work,
726 $ iwork( n+1 ), info )
727*
728* Check the error code from SGESVXX.
729*
730 IF( info.EQ.n+1 ) GOTO 50
731 IF( info.NE.izero ) THEN
732 CALL alaerh( path, 'SGESVXX', info, izero,
733 $ fact // trans, n, n, -1, -1, nrhs,
734 $ imat, nfail, nerrs, nout )
735 GOTO 50
736 END IF
737*
738* Compare rpvgrw_svxx from SGESVXX with the computed
739* reciprocal pivot growth factor RPVGRW
740*
741
742 IF ( info .GT. 0 .AND. info .LT. n+1 ) THEN
743 rpvgrw = sla_gerpvgrw
744 $ (n, info, a, lda, afac, lda)
745 ELSE
746 rpvgrw = sla_gerpvgrw
747 $ (n, n, a, lda, afac, lda)
748 ENDIF
749
750 result( 7 ) = abs( rpvgrw-rpvgrw_svxx ) /
751 $ max( rpvgrw_svxx, rpvgrw ) /
752 $ slamch( 'E' )
753*
754 IF( .NOT.prefac ) THEN
755*
756* Reconstruct matrix from factors and compute
757* residual.
758*
759 CALL sget01( n, n, a, lda, afac, lda, iwork,
760 $ rwork( 2*nrhs+1 ), result( 1 ) )
761 k1 = 1
762 ELSE
763 k1 = 2
764 END IF
765*
766 IF( info.EQ.0 ) THEN
767 trfcon = .false.
768*
769* Compute residual of the computed solution.
770*
771 CALL slacpy( 'Full', n, nrhs, bsav, lda, work,
772 $ lda )
773 CALL sget02( trans, n, n, nrhs, asav, lda, x,
774 $ lda, work, lda, rwork( 2*nrhs+1 ),
775 $ result( 2 ) )
776*
777* Check solution from generated exact solution.
778*
779 IF( nofact .OR. ( prefac .AND. lsame( equed,
780 $ 'N' ) ) ) THEN
781 CALL sget04( n, nrhs, x, lda, xact, lda,
782 $ rcondc, result( 3 ) )
783 ELSE
784 IF( itran.EQ.1 ) THEN
785 roldc = roldo
786 ELSE
787 roldc = roldi
788 END IF
789 CALL sget04( n, nrhs, x, lda, xact, lda,
790 $ roldc, result( 3 ) )
791 END IF
792 ELSE
793 trfcon = .true.
794 END IF
795*
796* Compare RCOND from SGESVXX with the computed value
797* in RCONDC.
798*
799 result( 6 ) = sget06( rcond, rcondc )
800*
801* Print information about the tests that did not pass
802* the threshold.
803*
804 IF( .NOT.trfcon ) THEN
805 DO 45 k = k1, ntests
806 IF( result( k ).GE.thresh ) THEN
807 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
808 $ CALL aladhd( nout, path )
809 IF( prefac ) THEN
810 WRITE( nout, fmt = 9997 )'SGESVXX',
811 $ fact, trans, n, equed, imat, k,
812 $ result( k )
813 ELSE
814 WRITE( nout, fmt = 9998 )'SGESVXX',
815 $ fact, trans, n, imat, k, result( k )
816 END IF
817 nfail = nfail + 1
818 END IF
819 45 CONTINUE
820 nrun = nrun + 7 - k1
821 ELSE
822 IF( result( 1 ).GE.thresh .AND. .NOT.prefac )
823 $ THEN
824 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
825 $ CALL aladhd( nout, path )
826 IF( prefac ) THEN
827 WRITE( nout, fmt = 9997 )'SGESVXX', fact,
828 $ trans, n, equed, imat, 1, result( 1 )
829 ELSE
830 WRITE( nout, fmt = 9998 )'SGESVXX', fact,
831 $ trans, n, imat, 1, result( 1 )
832 END IF
833 nfail = nfail + 1
834 nrun = nrun + 1
835 END IF
836 IF( result( 6 ).GE.thresh ) THEN
837 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
838 $ CALL aladhd( nout, path )
839 IF( prefac ) THEN
840 WRITE( nout, fmt = 9997 )'SGESVXX', fact,
841 $ trans, n, equed, imat, 6, result( 6 )
842 ELSE
843 WRITE( nout, fmt = 9998 )'SGESVXX', fact,
844 $ trans, n, imat, 6, result( 6 )
845 END IF
846 nfail = nfail + 1
847 nrun = nrun + 1
848 END IF
849 IF( result( 7 ).GE.thresh ) THEN
850 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
851 $ CALL aladhd( nout, path )
852 IF( prefac ) THEN
853 WRITE( nout, fmt = 9997 )'SGESVXX', fact,
854 $ trans, n, equed, imat, 7, result( 7 )
855 ELSE
856 WRITE( nout, fmt = 9998 )'SGESVXX', fact,
857 $ trans, n, imat, 7, result( 7 )
858 END IF
859 nfail = nfail + 1
860 nrun = nrun + 1
861 END IF
862*
863 END IF
864*
865 50 CONTINUE
866 60 CONTINUE
867 70 CONTINUE
868 80 CONTINUE
869 90 CONTINUE
870*
871* Print a summary of the results.
872*
873 CALL alasvm( path, nout, nfail, nrun, nerrs )
874*
875
876* Test Error Bounds from SGESVXX
877
878 CALL sebchvxx(thresh, path)
879
880 9999 FORMAT( 1x, a, ', N =', i5, ', type ', i2, ', test(', i2, ') =',
881 $ g12.5 )
882 9998 FORMAT( 1x, a, ', FACT=''', a1, ''', TRANS=''', a1, ''', N=', i5,
883 $ ', type ', i2, ', test(', i1, ')=', g12.5 )
884 9997 FORMAT( 1x, a, ', FACT=''', a1, ''', TRANS=''', a1, ''', N=', i5,
885 $ ', EQUED=''', a1, ''', type ', i2, ', test(', i1, ')=',
886 $ g12.5 )
887 RETURN
888*
889* End of SDRVGEX
890*
891 END
alasvm
subroutine alasvm(type, nout, nfail, nrun, nerrs)
ALASVM
Definition alasvm.f:73
sget02
subroutine sget02(trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
SGET02
Definition sget02.f:135
slarhs
subroutine slarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
SLARHS
Definition slarhs.f:205
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
aladhd
subroutine aladhd(iounit, path)
ALADHD
Definition aladhd.f:90
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
sgeequ
subroutine sgeequ(m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
SGEEQU
Definition sgeequ.f:139
sgesv
subroutine sgesv(n, nrhs, a, lda, ipiv, b, ldb, info)
Download SGESV + dependencies <a href="http://www.netlib.org/cgi-bin/netlibfiles....
Definition sgesv.f:124
sgesvx
subroutine sgesvx(fact, trans, n, nrhs, a, lda, af, ldaf, ipiv, equed, r, c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
SGESVX computes the solution to system of linear equations A * X = B for GE matrices
Definition sgesvx.f:349
sgesvxx
subroutine sgesvxx(fact, trans, n, nrhs, a, lda, af, ldaf, ipiv, equed, r, c, b, ldb, x, ldx, rcond, rpvgrw, berr, n_err_bnds, err_bnds_norm, err_bnds_comp, nparams, params, work, iwork, info)
SGESVXX computes the solution to system of linear equations A * X = B for GE matrices
Definition sgesvxx.f:543
sgetrf
subroutine sgetrf(m, n, a, lda, ipiv, info)
SGETRF
Definition sgetrf.f:108
sgetri
subroutine sgetri(n, a, lda, ipiv, work, lwork, info)
SGETRI
Definition sgetri.f:114
slacpy
subroutine slacpy(uplo, m, n, a, lda, b, ldb)
SLACPY copies all or part of one two-dimensional array to another.
Definition slacpy.f:103
slaqge
subroutine slaqge(m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)
SLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.
Definition slaqge.f:142
slaset
subroutine slaset(uplo, m, n, alpha, beta, a, lda)
SLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition slaset.f:110
sdrvge
subroutine sdrvge(dotype, nn, nval, nrhs, thresh, tsterr, nmax, a, afac, asav, b, bsav, x, xact, s, work, rwork, iwork, nout)
SDRVGE
Definition sdrvge.f:164
sebchvxx
subroutine sebchvxx(thresh, path)
SEBCHVXX
Definition sebchvxx.f:96
serrvx
subroutine serrvx(path, nunit)
SERRVX
Definition serrvx.f:55
sget01
subroutine sget01(m, n, a, lda, afac, ldafac, ipiv, rwork, resid)
SGET01
Definition sget01.f:107
sget04
subroutine sget04(n, nrhs, x, ldx, xact, ldxact, rcond, resid)
SGET04
Definition sget04.f:102
sget07
subroutine sget07(trans, n, nrhs, a, lda, b, ldb, x, ldx, xact, ldxact, ferr, chkferr, berr, reslts)
SGET07
Definition sget07.f:165
slatb4
subroutine slatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
SLATB4
Definition slatb4.f:120
slatms
subroutine slatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
SLATMS
Definition slatms.f:321