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ddrvpb.f 25 kB

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  1. *> \brief \b DDRVPB
  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 DDRVPB( 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. * DOUBLE PRECISION THRESH
  19. * ..
  20. * .. Array Arguments ..
  21. * LOGICAL DOTYPE( * )
  22. * INTEGER IWORK( * ), NVAL( * )
  23. * DOUBLE PRECISION A( * ), AFAC( * ), ASAV( * ), B( * ),
  24. * $ BSAV( * ), RWORK( * ), S( * ), WORK( * ),
  25. * $ X( * ), XACT( * )
  26. * ..
  27. *
  28. *
  29. *> \par Purpose:
  30. * =============
  31. *>
  32. *> \verbatim
  33. *>
  34. *> DDRVPB tests the driver routines DPBSV and -SVX.
  35. *> \endverbatim
  36. *
  37. * Arguments:
  38. * ==========
  39. *
  40. *> \param[in] DOTYPE
  41. *> \verbatim
  42. *> DOTYPE is LOGICAL array, dimension (NTYPES)
  43. *> The matrix types to be used for testing. Matrices of type j
  44. *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
  45. *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
  46. *> \endverbatim
  47. *>
  48. *> \param[in] NN
  49. *> \verbatim
  50. *> NN is INTEGER
  51. *> The number of values of N contained in the vector NVAL.
  52. *> \endverbatim
  53. *>
  54. *> \param[in] NVAL
  55. *> \verbatim
  56. *> NVAL is INTEGER array, dimension (NN)
  57. *> The values of the matrix dimension N.
  58. *> \endverbatim
  59. *>
  60. *> \param[in] NRHS
  61. *> \verbatim
  62. *> NRHS is INTEGER
  63. *> The number of right hand side vectors to be generated for
  64. *> each linear system.
  65. *> \endverbatim
  66. *>
  67. *> \param[in] THRESH
  68. *> \verbatim
  69. *> THRESH is DOUBLE PRECISION
  70. *> The threshold value for the test ratios. A result is
  71. *> included in the output file if RESULT >= THRESH. To have
  72. *> every test ratio printed, use THRESH = 0.
  73. *> \endverbatim
  74. *>
  75. *> \param[in] TSTERR
  76. *> \verbatim
  77. *> TSTERR is LOGICAL
  78. *> Flag that indicates whether error exits are to be tested.
  79. *> \endverbatim
  80. *>
  81. *> \param[in] NMAX
  82. *> \verbatim
  83. *> NMAX is INTEGER
  84. *> The maximum value permitted for N, used in dimensioning the
  85. *> work arrays.
  86. *> \endverbatim
  87. *>
  88. *> \param[out] A
  89. *> \verbatim
  90. *> A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
  91. *> \endverbatim
  92. *>
  93. *> \param[out] AFAC
  94. *> \verbatim
  95. *> AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
  96. *> \endverbatim
  97. *>
  98. *> \param[out] ASAV
  99. *> \verbatim
  100. *> ASAV is DOUBLE PRECISION array, dimension (NMAX*NMAX)
  101. *> \endverbatim
  102. *>
  103. *> \param[out] B
  104. *> \verbatim
  105. *> B is DOUBLE PRECISION array, dimension (NMAX*NRHS)
  106. *> \endverbatim
  107. *>
  108. *> \param[out] BSAV
  109. *> \verbatim
  110. *> BSAV is DOUBLE PRECISION array, dimension (NMAX*NRHS)
  111. *> \endverbatim
  112. *>
  113. *> \param[out] X
  114. *> \verbatim
  115. *> X is DOUBLE PRECISION array, dimension (NMAX*NRHS)
  116. *> \endverbatim
  117. *>
  118. *> \param[out] XACT
  119. *> \verbatim
  120. *> XACT is DOUBLE PRECISION array, dimension (NMAX*NRHS)
  121. *> \endverbatim
  122. *>
  123. *> \param[out] S
  124. *> \verbatim
  125. *> S is DOUBLE PRECISION array, dimension (NMAX)
  126. *> \endverbatim
  127. *>
  128. *> \param[out] WORK
  129. *> \verbatim
  130. *> WORK is DOUBLE PRECISION array, dimension
  131. *> (NMAX*max(3,NRHS))
  132. *> \endverbatim
  133. *>
  134. *> \param[out] RWORK
  135. *> \verbatim
  136. *> RWORK is DOUBLE PRECISION array, dimension (NMAX+2*NRHS)
  137. *> \endverbatim
  138. *>
  139. *> \param[out] IWORK
  140. *> \verbatim
  141. *> IWORK is INTEGER array, dimension (NMAX)
  142. *> \endverbatim
  143. *>
  144. *> \param[in] NOUT
  145. *> \verbatim
  146. *> NOUT is INTEGER
  147. *> The unit number for output.
  148. *> \endverbatim
  149. *
  150. * Authors:
  151. * ========
  152. *
  153. *> \author Univ. of Tennessee
  154. *> \author Univ. of California Berkeley
  155. *> \author Univ. of Colorado Denver
  156. *> \author NAG Ltd.
  157. *
  158. *> \date December 2016
  159. *
  160. *> \ingroup double_lin
  161. *
  162. * =====================================================================
  163. SUBROUTINE DDRVPB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
  164. $ A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
  165. $ RWORK, IWORK, NOUT )
  166. *
  167. * -- LAPACK test routine (version 3.7.0) --
  168. * -- LAPACK is a software package provided by Univ. of Tennessee, --
  169. * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  170. * December 2016
  171. *
  172. * .. Scalar Arguments ..
  173. LOGICAL TSTERR
  174. INTEGER NMAX, NN, NOUT, NRHS
  175. DOUBLE PRECISION THRESH
  176. * ..
  177. * .. Array Arguments ..
  178. LOGICAL DOTYPE( * )
  179. INTEGER IWORK( * ), NVAL( * )
  180. DOUBLE PRECISION A( * ), AFAC( * ), ASAV( * ), B( * ),
  181. $ BSAV( * ), RWORK( * ), S( * ), WORK( * ),
  182. $ X( * ), XACT( * )
  183. * ..
  184. *
  185. * =====================================================================
  186. *
  187. * .. Parameters ..
  188. DOUBLE PRECISION ONE, ZERO
  189. PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
  190. INTEGER NTYPES, NTESTS
  191. PARAMETER ( NTYPES = 8, NTESTS = 6 )
  192. INTEGER NBW
  193. PARAMETER ( NBW = 4 )
  194. * ..
  195. * .. Local Scalars ..
  196. LOGICAL EQUIL, NOFACT, PREFAC, ZEROT
  197. CHARACTER DIST, EQUED, FACT, PACKIT, TYPE, UPLO, XTYPE
  198. CHARACTER*3 PATH
  199. INTEGER I, I1, I2, IEQUED, IFACT, IKD, IMAT, IN, INFO,
  200. $ IOFF, IUPLO, IW, IZERO, K, K1, KD, KL, KOFF,
  201. $ KU, LDA, LDAB, MODE, N, NB, NBMIN, NERRS,
  202. $ NFACT, NFAIL, NIMAT, NKD, NRUN, NT
  203. DOUBLE PRECISION AINVNM, AMAX, ANORM, CNDNUM, RCOND, RCONDC,
  204. $ ROLDC, SCOND
  205. * ..
  206. * .. Local Arrays ..
  207. CHARACTER EQUEDS( 2 ), FACTS( 3 )
  208. INTEGER ISEED( 4 ), ISEEDY( 4 ), KDVAL( NBW )
  209. DOUBLE PRECISION RESULT( NTESTS )
  210. * ..
  211. * .. External Functions ..
  212. LOGICAL LSAME
  213. DOUBLE PRECISION DGET06, DLANGE, DLANSB
  214. EXTERNAL LSAME, DGET06, DLANGE, DLANSB
  215. * ..
  216. * .. External Subroutines ..
  217. EXTERNAL ALADHD, ALAERH, ALASVM, DCOPY, DERRVX, DGET04,
  218. $ DLACPY, DLAQSB, DLARHS, DLASET, DLATB4, DLATMS,
  219. $ DPBEQU, DPBSV, DPBSVX, DPBT01, DPBT02, DPBT05,
  220. $ DPBTRF, DPBTRS, DSWAP, XLAENV
  221. * ..
  222. * .. Intrinsic Functions ..
  223. INTRINSIC MAX, MIN
  224. * ..
  225. * .. Scalars in Common ..
  226. LOGICAL LERR, OK
  227. CHARACTER*32 SRNAMT
  228. INTEGER INFOT, NUNIT
  229. * ..
  230. * .. Common blocks ..
  231. COMMON / INFOC / INFOT, NUNIT, OK, LERR
  232. COMMON / SRNAMC / SRNAMT
  233. * ..
  234. * .. Data statements ..
  235. DATA ISEEDY / 1988, 1989, 1990, 1991 /
  236. DATA FACTS / 'F', 'N', 'E' /
  237. DATA EQUEDS / 'N', 'Y' /
  238. * ..
  239. * .. Executable Statements ..
  240. *
  241. * Initialize constants and the random number seed.
  242. *
  243. PATH( 1: 1 ) = 'Double precision'
  244. PATH( 2: 3 ) = 'PB'
  245. NRUN = 0
  246. NFAIL = 0
  247. NERRS = 0
  248. DO 10 I = 1, 4
  249. ISEED( I ) = ISEEDY( I )
  250. 10 CONTINUE
  251. *
  252. * Test the error exits
  253. *
  254. IF( TSTERR )
  255. $ CALL DERRVX( PATH, NOUT )
  256. INFOT = 0
  257. KDVAL( 1 ) = 0
  258. *
  259. * Set the block size and minimum block size for testing.
  260. *
  261. NB = 1
  262. NBMIN = 2
  263. CALL XLAENV( 1, NB )
  264. CALL XLAENV( 2, NBMIN )
  265. *
  266. * Do for each value of N in NVAL
  267. *
  268. DO 110 IN = 1, NN
  269. N = NVAL( IN )
  270. LDA = MAX( N, 1 )
  271. XTYPE = 'N'
  272. *
  273. * Set limits on the number of loop iterations.
  274. *
  275. NKD = MAX( 1, MIN( N, 4 ) )
  276. NIMAT = NTYPES
  277. IF( N.EQ.0 )
  278. $ NIMAT = 1
  279. *
  280. KDVAL( 2 ) = N + ( N+1 ) / 4
  281. KDVAL( 3 ) = ( 3*N-1 ) / 4
  282. KDVAL( 4 ) = ( N+1 ) / 4
  283. *
  284. DO 100 IKD = 1, NKD
  285. *
  286. * Do for KD = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This order
  287. * makes it easier to skip redundant values for small values
  288. * of N.
  289. *
  290. KD = KDVAL( IKD )
  291. LDAB = KD + 1
  292. *
  293. * Do first for UPLO = 'U', then for UPLO = 'L'
  294. *
  295. DO 90 IUPLO = 1, 2
  296. KOFF = 1
  297. IF( IUPLO.EQ.1 ) THEN
  298. UPLO = 'U'
  299. PACKIT = 'Q'
  300. KOFF = MAX( 1, KD+2-N )
  301. ELSE
  302. UPLO = 'L'
  303. PACKIT = 'B'
  304. END IF
  305. *
  306. DO 80 IMAT = 1, NIMAT
  307. *
  308. * Do the tests only if DOTYPE( IMAT ) is true.
  309. *
  310. IF( .NOT.DOTYPE( IMAT ) )
  311. $ GO TO 80
  312. *
  313. * Skip types 2, 3, or 4 if the matrix size is too small.
  314. *
  315. ZEROT = IMAT.GE.2 .AND. IMAT.LE.4
  316. IF( ZEROT .AND. N.LT.IMAT-1 )
  317. $ GO TO 80
  318. *
  319. IF( .NOT.ZEROT .OR. .NOT.DOTYPE( 1 ) ) THEN
  320. *
  321. * Set up parameters with DLATB4 and generate a test
  322. * matrix with DLATMS.
  323. *
  324. CALL DLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM,
  325. $ MODE, CNDNUM, DIST )
  326. *
  327. SRNAMT = 'DLATMS'
  328. CALL DLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
  329. $ CNDNUM, ANORM, KD, KD, PACKIT,
  330. $ A( KOFF ), LDAB, WORK, INFO )
  331. *
  332. * Check error code from DLATMS.
  333. *
  334. IF( INFO.NE.0 ) THEN
  335. CALL ALAERH( PATH, 'DLATMS', INFO, 0, UPLO, N,
  336. $ N, -1, -1, -1, IMAT, NFAIL, NERRS,
  337. $ NOUT )
  338. GO TO 80
  339. END IF
  340. ELSE IF( IZERO.GT.0 ) THEN
  341. *
  342. * Use the same matrix for types 3 and 4 as for type
  343. * 2 by copying back the zeroed out column,
  344. *
  345. IW = 2*LDA + 1
  346. IF( IUPLO.EQ.1 ) THEN
  347. IOFF = ( IZERO-1 )*LDAB + KD + 1
  348. CALL DCOPY( IZERO-I1, WORK( IW ), 1,
  349. $ A( IOFF-IZERO+I1 ), 1 )
  350. IW = IW + IZERO - I1
  351. CALL DCOPY( I2-IZERO+1, WORK( IW ), 1,
  352. $ A( IOFF ), MAX( LDAB-1, 1 ) )
  353. ELSE
  354. IOFF = ( I1-1 )*LDAB + 1
  355. CALL DCOPY( IZERO-I1, WORK( IW ), 1,
  356. $ A( IOFF+IZERO-I1 ),
  357. $ MAX( LDAB-1, 1 ) )
  358. IOFF = ( IZERO-1 )*LDAB + 1
  359. IW = IW + IZERO - I1
  360. CALL DCOPY( I2-IZERO+1, WORK( IW ), 1,
  361. $ A( IOFF ), 1 )
  362. END IF
  363. END IF
  364. *
  365. * For types 2-4, zero one row and column of the matrix
  366. * to test that INFO is returned correctly.
  367. *
  368. IZERO = 0
  369. IF( ZEROT ) THEN
  370. IF( IMAT.EQ.2 ) THEN
  371. IZERO = 1
  372. ELSE IF( IMAT.EQ.3 ) THEN
  373. IZERO = N
  374. ELSE
  375. IZERO = N / 2 + 1
  376. END IF
  377. *
  378. * Save the zeroed out row and column in WORK(*,3)
  379. *
  380. IW = 2*LDA
  381. DO 20 I = 1, MIN( 2*KD+1, N )
  382. WORK( IW+I ) = ZERO
  383. 20 CONTINUE
  384. IW = IW + 1
  385. I1 = MAX( IZERO-KD, 1 )
  386. I2 = MIN( IZERO+KD, N )
  387. *
  388. IF( IUPLO.EQ.1 ) THEN
  389. IOFF = ( IZERO-1 )*LDAB + KD + 1
  390. CALL DSWAP( IZERO-I1, A( IOFF-IZERO+I1 ), 1,
  391. $ WORK( IW ), 1 )
  392. IW = IW + IZERO - I1
  393. CALL DSWAP( I2-IZERO+1, A( IOFF ),
  394. $ MAX( LDAB-1, 1 ), WORK( IW ), 1 )
  395. ELSE
  396. IOFF = ( I1-1 )*LDAB + 1
  397. CALL DSWAP( IZERO-I1, A( IOFF+IZERO-I1 ),
  398. $ MAX( LDAB-1, 1 ), WORK( IW ), 1 )
  399. IOFF = ( IZERO-1 )*LDAB + 1
  400. IW = IW + IZERO - I1
  401. CALL DSWAP( I2-IZERO+1, A( IOFF ), 1,
  402. $ WORK( IW ), 1 )
  403. END IF
  404. END IF
  405. *
  406. * Save a copy of the matrix A in ASAV.
  407. *
  408. CALL DLACPY( 'Full', KD+1, N, A, LDAB, ASAV, LDAB )
  409. *
  410. DO 70 IEQUED = 1, 2
  411. EQUED = EQUEDS( IEQUED )
  412. IF( IEQUED.EQ.1 ) THEN
  413. NFACT = 3
  414. ELSE
  415. NFACT = 1
  416. END IF
  417. *
  418. DO 60 IFACT = 1, NFACT
  419. FACT = FACTS( IFACT )
  420. PREFAC = LSAME( FACT, 'F' )
  421. NOFACT = LSAME( FACT, 'N' )
  422. EQUIL = LSAME( FACT, 'E' )
  423. *
  424. IF( ZEROT ) THEN
  425. IF( PREFAC )
  426. $ GO TO 60
  427. RCONDC = ZERO
  428. *
  429. ELSE IF( .NOT.LSAME( FACT, 'N' ) ) THEN
  430. *
  431. * Compute the condition number for comparison
  432. * with the value returned by DPBSVX (FACT =
  433. * 'N' reuses the condition number from the
  434. * previous iteration with FACT = 'F').
  435. *
  436. CALL DLACPY( 'Full', KD+1, N, ASAV, LDAB,
  437. $ AFAC, LDAB )
  438. IF( EQUIL .OR. IEQUED.GT.1 ) THEN
  439. *
  440. * Compute row and column scale factors to
  441. * equilibrate the matrix A.
  442. *
  443. CALL DPBEQU( UPLO, N, KD, AFAC, LDAB, S,
  444. $ SCOND, AMAX, INFO )
  445. IF( INFO.EQ.0 .AND. N.GT.0 ) THEN
  446. IF( IEQUED.GT.1 )
  447. $ SCOND = ZERO
  448. *
  449. * Equilibrate the matrix.
  450. *
  451. CALL DLAQSB( UPLO, N, KD, AFAC, LDAB,
  452. $ S, SCOND, AMAX, EQUED )
  453. END IF
  454. END IF
  455. *
  456. * Save the condition number of the
  457. * non-equilibrated system for use in DGET04.
  458. *
  459. IF( EQUIL )
  460. $ ROLDC = RCONDC
  461. *
  462. * Compute the 1-norm of A.
  463. *
  464. ANORM = DLANSB( '1', UPLO, N, KD, AFAC, LDAB,
  465. $ RWORK )
  466. *
  467. * Factor the matrix A.
  468. *
  469. CALL DPBTRF( UPLO, N, KD, AFAC, LDAB, INFO )
  470. *
  471. * Form the inverse of A.
  472. *
  473. CALL DLASET( 'Full', N, N, ZERO, ONE, A,
  474. $ LDA )
  475. SRNAMT = 'DPBTRS'
  476. CALL DPBTRS( UPLO, N, KD, N, AFAC, LDAB, A,
  477. $ LDA, INFO )
  478. *
  479. * Compute the 1-norm condition number of A.
  480. *
  481. AINVNM = DLANGE( '1', N, N, A, LDA, RWORK )
  482. IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
  483. RCONDC = ONE
  484. ELSE
  485. RCONDC = ( ONE / ANORM ) / AINVNM
  486. END IF
  487. END IF
  488. *
  489. * Restore the matrix A.
  490. *
  491. CALL DLACPY( 'Full', KD+1, N, ASAV, LDAB, A,
  492. $ LDAB )
  493. *
  494. * Form an exact solution and set the right hand
  495. * side.
  496. *
  497. SRNAMT = 'DLARHS'
  498. CALL DLARHS( PATH, XTYPE, UPLO, ' ', N, N, KD,
  499. $ KD, NRHS, A, LDAB, XACT, LDA, B,
  500. $ LDA, ISEED, INFO )
  501. XTYPE = 'C'
  502. CALL DLACPY( 'Full', N, NRHS, B, LDA, BSAV,
  503. $ LDA )
  504. *
  505. IF( NOFACT ) THEN
  506. *
  507. * --- Test DPBSV ---
  508. *
  509. * Compute the L*L' or U'*U factorization of the
  510. * matrix and solve the system.
  511. *
  512. CALL DLACPY( 'Full', KD+1, N, A, LDAB, AFAC,
  513. $ LDAB )
  514. CALL DLACPY( 'Full', N, NRHS, B, LDA, X,
  515. $ LDA )
  516. *
  517. SRNAMT = 'DPBSV '
  518. CALL DPBSV( UPLO, N, KD, NRHS, AFAC, LDAB, X,
  519. $ LDA, INFO )
  520. *
  521. * Check error code from DPBSV .
  522. *
  523. IF( INFO.NE.IZERO ) THEN
  524. CALL ALAERH( PATH, 'DPBSV ', INFO, IZERO,
  525. $ UPLO, N, N, KD, KD, NRHS,
  526. $ IMAT, NFAIL, NERRS, NOUT )
  527. GO TO 40
  528. ELSE IF( INFO.NE.0 ) THEN
  529. GO TO 40
  530. END IF
  531. *
  532. * Reconstruct matrix from factors and compute
  533. * residual.
  534. *
  535. CALL DPBT01( UPLO, N, KD, A, LDAB, AFAC,
  536. $ LDAB, RWORK, RESULT( 1 ) )
  537. *
  538. * Compute residual of the computed solution.
  539. *
  540. CALL DLACPY( 'Full', N, NRHS, B, LDA, WORK,
  541. $ LDA )
  542. CALL DPBT02( UPLO, N, KD, NRHS, A, LDAB, X,
  543. $ LDA, WORK, LDA, RWORK,
  544. $ RESULT( 2 ) )
  545. *
  546. * Check solution from generated exact solution.
  547. *
  548. CALL DGET04( N, NRHS, X, LDA, XACT, LDA,
  549. $ RCONDC, RESULT( 3 ) )
  550. NT = 3
  551. *
  552. * Print information about the tests that did
  553. * not pass the threshold.
  554. *
  555. DO 30 K = 1, NT
  556. IF( RESULT( K ).GE.THRESH ) THEN
  557. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  558. $ CALL ALADHD( NOUT, PATH )
  559. WRITE( NOUT, FMT = 9999 )'DPBSV ',
  560. $ UPLO, N, KD, IMAT, K, RESULT( K )
  561. NFAIL = NFAIL + 1
  562. END IF
  563. 30 CONTINUE
  564. NRUN = NRUN + NT
  565. 40 CONTINUE
  566. END IF
  567. *
  568. * --- Test DPBSVX ---
  569. *
  570. IF( .NOT.PREFAC )
  571. $ CALL DLASET( 'Full', KD+1, N, ZERO, ZERO,
  572. $ AFAC, LDAB )
  573. CALL DLASET( 'Full', N, NRHS, ZERO, ZERO, X,
  574. $ LDA )
  575. IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
  576. *
  577. * Equilibrate the matrix if FACT='F' and
  578. * EQUED='Y'
  579. *
  580. CALL DLAQSB( UPLO, N, KD, A, LDAB, S, SCOND,
  581. $ AMAX, EQUED )
  582. END IF
  583. *
  584. * Solve the system and compute the condition
  585. * number and error bounds using DPBSVX.
  586. *
  587. SRNAMT = 'DPBSVX'
  588. CALL DPBSVX( FACT, UPLO, N, KD, NRHS, A, LDAB,
  589. $ AFAC, LDAB, EQUED, S, B, LDA, X,
  590. $ LDA, RCOND, RWORK, RWORK( NRHS+1 ),
  591. $ WORK, IWORK, INFO )
  592. *
  593. * Check the error code from DPBSVX.
  594. *
  595. IF( INFO.NE.IZERO ) THEN
  596. CALL ALAERH( PATH, 'DPBSVX', INFO, IZERO,
  597. $ FACT // UPLO, N, N, KD, KD,
  598. $ NRHS, IMAT, NFAIL, NERRS, NOUT )
  599. GO TO 60
  600. END IF
  601. *
  602. IF( INFO.EQ.0 ) THEN
  603. IF( .NOT.PREFAC ) THEN
  604. *
  605. * Reconstruct matrix from factors and
  606. * compute residual.
  607. *
  608. CALL DPBT01( UPLO, N, KD, A, LDAB, AFAC,
  609. $ LDAB, RWORK( 2*NRHS+1 ),
  610. $ RESULT( 1 ) )
  611. K1 = 1
  612. ELSE
  613. K1 = 2
  614. END IF
  615. *
  616. * Compute residual of the computed solution.
  617. *
  618. CALL DLACPY( 'Full', N, NRHS, BSAV, LDA,
  619. $ WORK, LDA )
  620. CALL DPBT02( UPLO, N, KD, NRHS, ASAV, LDAB,
  621. $ X, LDA, WORK, LDA,
  622. $ RWORK( 2*NRHS+1 ), RESULT( 2 ) )
  623. *
  624. * Check solution from generated exact solution.
  625. *
  626. IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
  627. $ 'N' ) ) ) THEN
  628. CALL DGET04( N, NRHS, X, LDA, XACT, LDA,
  629. $ RCONDC, RESULT( 3 ) )
  630. ELSE
  631. CALL DGET04( N, NRHS, X, LDA, XACT, LDA,
  632. $ ROLDC, RESULT( 3 ) )
  633. END IF
  634. *
  635. * Check the error bounds from iterative
  636. * refinement.
  637. *
  638. CALL DPBT05( UPLO, N, KD, NRHS, ASAV, LDAB,
  639. $ B, LDA, X, LDA, XACT, LDA,
  640. $ RWORK, RWORK( NRHS+1 ),
  641. $ RESULT( 4 ) )
  642. ELSE
  643. K1 = 6
  644. END IF
  645. *
  646. * Compare RCOND from DPBSVX with the computed
  647. * value in RCONDC.
  648. *
  649. RESULT( 6 ) = DGET06( RCOND, RCONDC )
  650. *
  651. * Print information about the tests that did not
  652. * pass the threshold.
  653. *
  654. DO 50 K = K1, 6
  655. IF( RESULT( K ).GE.THRESH ) THEN
  656. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  657. $ CALL ALADHD( NOUT, PATH )
  658. IF( PREFAC ) THEN
  659. WRITE( NOUT, FMT = 9997 )'DPBSVX',
  660. $ FACT, UPLO, N, KD, EQUED, IMAT, K,
  661. $ RESULT( K )
  662. ELSE
  663. WRITE( NOUT, FMT = 9998 )'DPBSVX',
  664. $ FACT, UPLO, N, KD, IMAT, K,
  665. $ RESULT( K )
  666. END IF
  667. NFAIL = NFAIL + 1
  668. END IF
  669. 50 CONTINUE
  670. NRUN = NRUN + 7 - K1
  671. 60 CONTINUE
  672. 70 CONTINUE
  673. 80 CONTINUE
  674. 90 CONTINUE
  675. 100 CONTINUE
  676. 110 CONTINUE
  677. *
  678. * Print a summary of the results.
  679. *
  680. CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
  681. *
  682. 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', KD =', I5,
  683. $ ', type ', I1, ', test(', I1, ')=', G12.5 )
  684. 9998 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ', I5, ', ', I5,
  685. $ ', ... ), type ', I1, ', test(', I1, ')=', G12.5 )
  686. 9997 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ', I5, ', ', I5,
  687. $ ', ... ), EQUED=''', A1, ''', type ', I1, ', test(', I1,
  688. $ ')=', G12.5 )
  689. RETURN
  690. *
  691. * End of DDRVPB
  692. *
  693. END