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zdrvpb.f 25 kB

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  1. *> \brief \b ZDRVPB
  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 ZDRVPB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
  12. * A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
  13. * RWORK, 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 NVAL( * )
  23. * DOUBLE PRECISION RWORK( * ), S( * )
  24. * COMPLEX*16 A( * ), AFAC( * ), ASAV( * ), B( * ),
  25. * $ BSAV( * ), WORK( * ), X( * ), XACT( * )
  26. * ..
  27. *
  28. *
  29. *> \par Purpose:
  30. * =============
  31. *>
  32. *> \verbatim
  33. *>
  34. *> ZDRVPB tests the driver routines ZPBSV 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 COMPLEX*16 array, dimension (NMAX*NMAX)
  91. *> \endverbatim
  92. *>
  93. *> \param[out] AFAC
  94. *> \verbatim
  95. *> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
  96. *> \endverbatim
  97. *>
  98. *> \param[out] ASAV
  99. *> \verbatim
  100. *> ASAV is COMPLEX*16 array, dimension (NMAX*NMAX)
  101. *> \endverbatim
  102. *>
  103. *> \param[out] B
  104. *> \verbatim
  105. *> B is COMPLEX*16 array, dimension (NMAX*NRHS)
  106. *> \endverbatim
  107. *>
  108. *> \param[out] BSAV
  109. *> \verbatim
  110. *> BSAV is COMPLEX*16 array, dimension (NMAX*NRHS)
  111. *> \endverbatim
  112. *>
  113. *> \param[out] X
  114. *> \verbatim
  115. *> X is COMPLEX*16 array, dimension (NMAX*NRHS)
  116. *> \endverbatim
  117. *>
  118. *> \param[out] XACT
  119. *> \verbatim
  120. *> XACT is COMPLEX*16 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 COMPLEX*16 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[in] NOUT
  140. *> \verbatim
  141. *> NOUT is INTEGER
  142. *> The unit number for output.
  143. *> \endverbatim
  144. *
  145. * Authors:
  146. * ========
  147. *
  148. *> \author Univ. of Tennessee
  149. *> \author Univ. of California Berkeley
  150. *> \author Univ. of Colorado Denver
  151. *> \author NAG Ltd.
  152. *
  153. *> \ingroup complex16_lin
  154. *
  155. * =====================================================================
  156. SUBROUTINE ZDRVPB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
  157. $ A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
  158. $ RWORK, NOUT )
  159. *
  160. * -- LAPACK test routine --
  161. * -- LAPACK is a software package provided by Univ. of Tennessee, --
  162. * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  163. *
  164. * .. Scalar Arguments ..
  165. LOGICAL TSTERR
  166. INTEGER NMAX, NN, NOUT, NRHS
  167. DOUBLE PRECISION THRESH
  168. * ..
  169. * .. Array Arguments ..
  170. LOGICAL DOTYPE( * )
  171. INTEGER NVAL( * )
  172. DOUBLE PRECISION RWORK( * ), S( * )
  173. COMPLEX*16 A( * ), AFAC( * ), ASAV( * ), B( * ),
  174. $ BSAV( * ), WORK( * ), X( * ), XACT( * )
  175. * ..
  176. *
  177. * =====================================================================
  178. *
  179. * .. Parameters ..
  180. DOUBLE PRECISION ONE, ZERO
  181. PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
  182. INTEGER NTYPES, NTESTS
  183. PARAMETER ( NTYPES = 8, NTESTS = 6 )
  184. INTEGER NBW
  185. PARAMETER ( NBW = 4 )
  186. * ..
  187. * .. Local Scalars ..
  188. LOGICAL EQUIL, NOFACT, PREFAC, ZEROT
  189. CHARACTER DIST, EQUED, FACT, PACKIT, TYPE, UPLO, XTYPE
  190. CHARACTER*3 PATH
  191. INTEGER I, I1, I2, IEQUED, IFACT, IKD, IMAT, IN, INFO,
  192. $ IOFF, IUPLO, IW, IZERO, K, K1, KD, KL, KOFF,
  193. $ KU, LDA, LDAB, MODE, N, NB, NBMIN, NERRS,
  194. $ NFACT, NFAIL, NIMAT, NKD, NRUN, NT
  195. DOUBLE PRECISION AINVNM, AMAX, ANORM, CNDNUM, RCOND, RCONDC,
  196. $ ROLDC, SCOND
  197. * ..
  198. * .. Local Arrays ..
  199. CHARACTER EQUEDS( 2 ), FACTS( 3 )
  200. INTEGER ISEED( 4 ), ISEEDY( 4 ), KDVAL( NBW )
  201. DOUBLE PRECISION RESULT( NTESTS )
  202. * ..
  203. * .. External Functions ..
  204. LOGICAL LSAME
  205. DOUBLE PRECISION DGET06, ZLANGE, ZLANHB
  206. EXTERNAL LSAME, DGET06, ZLANGE, ZLANHB
  207. * ..
  208. * .. External Subroutines ..
  209. EXTERNAL ALADHD, ALAERH, ALASVM, XLAENV, ZCOPY, ZERRVX,
  210. $ ZGET04, ZLACPY, ZLAIPD, ZLAQHB, ZLARHS, ZLASET,
  211. $ ZLATB4, ZLATMS, ZPBEQU, ZPBSV, ZPBSVX, ZPBT01,
  212. $ ZPBT02, ZPBT05, ZPBTRF, ZPBTRS, ZSWAP
  213. * ..
  214. * .. Intrinsic Functions ..
  215. INTRINSIC DCMPLX, MAX, MIN
  216. * ..
  217. * .. Scalars in Common ..
  218. LOGICAL LERR, OK
  219. CHARACTER*32 SRNAMT
  220. INTEGER INFOT, NUNIT
  221. * ..
  222. * .. Common blocks ..
  223. COMMON / INFOC / INFOT, NUNIT, OK, LERR
  224. COMMON / SRNAMC / SRNAMT
  225. * ..
  226. * .. Data statements ..
  227. DATA ISEEDY / 1988, 1989, 1990, 1991 /
  228. DATA FACTS / 'F', 'N', 'E' / , EQUEDS / 'N', 'Y' /
  229. * ..
  230. * .. Executable Statements ..
  231. *
  232. * Initialize constants and the random number seed.
  233. *
  234. PATH( 1: 1 ) = 'Zomplex precision'
  235. PATH( 2: 3 ) = 'PB'
  236. NRUN = 0
  237. NFAIL = 0
  238. NERRS = 0
  239. DO 10 I = 1, 4
  240. ISEED( I ) = ISEEDY( I )
  241. 10 CONTINUE
  242. *
  243. * Test the error exits
  244. *
  245. IF( TSTERR )
  246. $ CALL ZERRVX( PATH, NOUT )
  247. INFOT = 0
  248. KDVAL( 1 ) = 0
  249. *
  250. * Set the block size and minimum block size for testing.
  251. *
  252. NB = 1
  253. NBMIN = 2
  254. CALL XLAENV( 1, NB )
  255. CALL XLAENV( 2, NBMIN )
  256. *
  257. * Do for each value of N in NVAL
  258. *
  259. DO 110 IN = 1, NN
  260. N = NVAL( IN )
  261. LDA = MAX( N, 1 )
  262. XTYPE = 'N'
  263. *
  264. * Set limits on the number of loop iterations.
  265. *
  266. NKD = MAX( 1, MIN( N, 4 ) )
  267. NIMAT = NTYPES
  268. IF( N.EQ.0 )
  269. $ NIMAT = 1
  270. *
  271. KDVAL( 2 ) = N + ( N+1 ) / 4
  272. KDVAL( 3 ) = ( 3*N-1 ) / 4
  273. KDVAL( 4 ) = ( N+1 ) / 4
  274. *
  275. DO 100 IKD = 1, NKD
  276. *
  277. * Do for KD = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This order
  278. * makes it easier to skip redundant values for small values
  279. * of N.
  280. *
  281. KD = KDVAL( IKD )
  282. LDAB = KD + 1
  283. *
  284. * Do first for UPLO = 'U', then for UPLO = 'L'
  285. *
  286. DO 90 IUPLO = 1, 2
  287. KOFF = 1
  288. IF( IUPLO.EQ.1 ) THEN
  289. UPLO = 'U'
  290. PACKIT = 'Q'
  291. KOFF = MAX( 1, KD+2-N )
  292. ELSE
  293. UPLO = 'L'
  294. PACKIT = 'B'
  295. END IF
  296. *
  297. DO 80 IMAT = 1, NIMAT
  298. *
  299. * Do the tests only if DOTYPE( IMAT ) is true.
  300. *
  301. IF( .NOT.DOTYPE( IMAT ) )
  302. $ GO TO 80
  303. *
  304. * Skip types 2, 3, or 4 if the matrix size is too small.
  305. *
  306. ZEROT = IMAT.GE.2 .AND. IMAT.LE.4
  307. IF( ZEROT .AND. N.LT.IMAT-1 )
  308. $ GO TO 80
  309. *
  310. IF( .NOT.ZEROT .OR. .NOT.DOTYPE( 1 ) ) THEN
  311. *
  312. * Set up parameters with ZLATB4 and generate a test
  313. * matrix with ZLATMS.
  314. *
  315. CALL ZLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM,
  316. $ MODE, CNDNUM, DIST )
  317. *
  318. SRNAMT = 'ZLATMS'
  319. CALL ZLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
  320. $ CNDNUM, ANORM, KD, KD, PACKIT,
  321. $ A( KOFF ), LDAB, WORK, INFO )
  322. *
  323. * Check error code from ZLATMS.
  324. *
  325. IF( INFO.NE.0 ) THEN
  326. CALL ALAERH( PATH, 'ZLATMS', INFO, 0, UPLO, N,
  327. $ N, -1, -1, -1, IMAT, NFAIL, NERRS,
  328. $ NOUT )
  329. GO TO 80
  330. END IF
  331. ELSE IF( IZERO.GT.0 ) THEN
  332. *
  333. * Use the same matrix for types 3 and 4 as for type
  334. * 2 by copying back the zeroed out column,
  335. *
  336. IW = 2*LDA + 1
  337. IF( IUPLO.EQ.1 ) THEN
  338. IOFF = ( IZERO-1 )*LDAB + KD + 1
  339. CALL ZCOPY( IZERO-I1, WORK( IW ), 1,
  340. $ A( IOFF-IZERO+I1 ), 1 )
  341. IW = IW + IZERO - I1
  342. CALL ZCOPY( I2-IZERO+1, WORK( IW ), 1,
  343. $ A( IOFF ), MAX( LDAB-1, 1 ) )
  344. ELSE
  345. IOFF = ( I1-1 )*LDAB + 1
  346. CALL ZCOPY( IZERO-I1, WORK( IW ), 1,
  347. $ A( IOFF+IZERO-I1 ),
  348. $ MAX( LDAB-1, 1 ) )
  349. IOFF = ( IZERO-1 )*LDAB + 1
  350. IW = IW + IZERO - I1
  351. CALL ZCOPY( I2-IZERO+1, WORK( IW ), 1,
  352. $ A( IOFF ), 1 )
  353. END IF
  354. END IF
  355. *
  356. * For types 2-4, zero one row and column of the matrix
  357. * to test that INFO is returned correctly.
  358. *
  359. IZERO = 0
  360. IF( ZEROT ) THEN
  361. IF( IMAT.EQ.2 ) THEN
  362. IZERO = 1
  363. ELSE IF( IMAT.EQ.3 ) THEN
  364. IZERO = N
  365. ELSE
  366. IZERO = N / 2 + 1
  367. END IF
  368. *
  369. * Save the zeroed out row and column in WORK(*,3)
  370. *
  371. IW = 2*LDA
  372. DO 20 I = 1, MIN( 2*KD+1, N )
  373. WORK( IW+I ) = ZERO
  374. 20 CONTINUE
  375. IW = IW + 1
  376. I1 = MAX( IZERO-KD, 1 )
  377. I2 = MIN( IZERO+KD, N )
  378. *
  379. IF( IUPLO.EQ.1 ) THEN
  380. IOFF = ( IZERO-1 )*LDAB + KD + 1
  381. CALL ZSWAP( IZERO-I1, A( IOFF-IZERO+I1 ), 1,
  382. $ WORK( IW ), 1 )
  383. IW = IW + IZERO - I1
  384. CALL ZSWAP( I2-IZERO+1, A( IOFF ),
  385. $ MAX( LDAB-1, 1 ), WORK( IW ), 1 )
  386. ELSE
  387. IOFF = ( I1-1 )*LDAB + 1
  388. CALL ZSWAP( IZERO-I1, A( IOFF+IZERO-I1 ),
  389. $ MAX( LDAB-1, 1 ), WORK( IW ), 1 )
  390. IOFF = ( IZERO-1 )*LDAB + 1
  391. IW = IW + IZERO - I1
  392. CALL ZSWAP( I2-IZERO+1, A( IOFF ), 1,
  393. $ WORK( IW ), 1 )
  394. END IF
  395. END IF
  396. *
  397. * Set the imaginary part of the diagonals.
  398. *
  399. IF( IUPLO.EQ.1 ) THEN
  400. CALL ZLAIPD( N, A( KD+1 ), LDAB, 0 )
  401. ELSE
  402. CALL ZLAIPD( N, A( 1 ), LDAB, 0 )
  403. END IF
  404. *
  405. * Save a copy of the matrix A in ASAV.
  406. *
  407. CALL ZLACPY( 'Full', KD+1, N, A, LDAB, ASAV, LDAB )
  408. *
  409. DO 70 IEQUED = 1, 2
  410. EQUED = EQUEDS( IEQUED )
  411. IF( IEQUED.EQ.1 ) THEN
  412. NFACT = 3
  413. ELSE
  414. NFACT = 1
  415. END IF
  416. *
  417. DO 60 IFACT = 1, NFACT
  418. FACT = FACTS( IFACT )
  419. PREFAC = LSAME( FACT, 'F' )
  420. NOFACT = LSAME( FACT, 'N' )
  421. EQUIL = LSAME( FACT, 'E' )
  422. *
  423. IF( ZEROT ) THEN
  424. IF( PREFAC )
  425. $ GO TO 60
  426. RCONDC = ZERO
  427. *
  428. ELSE IF( .NOT.LSAME( FACT, 'N' ) ) THEN
  429. *
  430. * Compute the condition number for comparison
  431. * with the value returned by ZPBSVX (FACT =
  432. * 'N' reuses the condition number from the
  433. * previous iteration with FACT = 'F').
  434. *
  435. CALL ZLACPY( 'Full', KD+1, N, ASAV, LDAB,
  436. $ AFAC, LDAB )
  437. IF( EQUIL .OR. IEQUED.GT.1 ) THEN
  438. *
  439. * Compute row and column scale factors to
  440. * equilibrate the matrix A.
  441. *
  442. CALL ZPBEQU( UPLO, N, KD, AFAC, LDAB, S,
  443. $ SCOND, AMAX, INFO )
  444. IF( INFO.EQ.0 .AND. N.GT.0 ) THEN
  445. IF( IEQUED.GT.1 )
  446. $ SCOND = ZERO
  447. *
  448. * Equilibrate the matrix.
  449. *
  450. CALL ZLAQHB( UPLO, N, KD, AFAC, LDAB,
  451. $ S, SCOND, AMAX, EQUED )
  452. END IF
  453. END IF
  454. *
  455. * Save the condition number of the
  456. * non-equilibrated system for use in ZGET04.
  457. *
  458. IF( EQUIL )
  459. $ ROLDC = RCONDC
  460. *
  461. * Compute the 1-norm of A.
  462. *
  463. ANORM = ZLANHB( '1', UPLO, N, KD, AFAC, LDAB,
  464. $ RWORK )
  465. *
  466. * Factor the matrix A.
  467. *
  468. CALL ZPBTRF( UPLO, N, KD, AFAC, LDAB, INFO )
  469. *
  470. * Form the inverse of A.
  471. *
  472. CALL ZLASET( 'Full', N, N, DCMPLX( ZERO ),
  473. $ DCMPLX( ONE ), A, LDA )
  474. SRNAMT = 'ZPBTRS'
  475. CALL ZPBTRS( UPLO, N, KD, N, AFAC, LDAB, A,
  476. $ LDA, INFO )
  477. *
  478. * Compute the 1-norm condition number of A.
  479. *
  480. AINVNM = ZLANGE( '1', N, N, A, LDA, RWORK )
  481. IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
  482. RCONDC = ONE
  483. ELSE
  484. RCONDC = ( ONE / ANORM ) / AINVNM
  485. END IF
  486. END IF
  487. *
  488. * Restore the matrix A.
  489. *
  490. CALL ZLACPY( 'Full', KD+1, N, ASAV, LDAB, A,
  491. $ LDAB )
  492. *
  493. * Form an exact solution and set the right hand
  494. * side.
  495. *
  496. SRNAMT = 'ZLARHS'
  497. CALL ZLARHS( PATH, XTYPE, UPLO, ' ', N, N, KD,
  498. $ KD, NRHS, A, LDAB, XACT, LDA, B,
  499. $ LDA, ISEED, INFO )
  500. XTYPE = 'C'
  501. CALL ZLACPY( 'Full', N, NRHS, B, LDA, BSAV,
  502. $ LDA )
  503. *
  504. IF( NOFACT ) THEN
  505. *
  506. * --- Test ZPBSV ---
  507. *
  508. * Compute the L*L' or U'*U factorization of the
  509. * matrix and solve the system.
  510. *
  511. CALL ZLACPY( 'Full', KD+1, N, A, LDAB, AFAC,
  512. $ LDAB )
  513. CALL ZLACPY( 'Full', N, NRHS, B, LDA, X,
  514. $ LDA )
  515. *
  516. SRNAMT = 'ZPBSV '
  517. CALL ZPBSV( UPLO, N, KD, NRHS, AFAC, LDAB, X,
  518. $ LDA, INFO )
  519. *
  520. * Check error code from ZPBSV .
  521. *
  522. IF( INFO.NE.IZERO ) THEN
  523. CALL ALAERH( PATH, 'ZPBSV ', INFO, IZERO,
  524. $ UPLO, N, N, KD, KD, NRHS,
  525. $ IMAT, NFAIL, NERRS, NOUT )
  526. GO TO 40
  527. ELSE IF( INFO.NE.0 ) THEN
  528. GO TO 40
  529. END IF
  530. *
  531. * Reconstruct matrix from factors and compute
  532. * residual.
  533. *
  534. CALL ZPBT01( UPLO, N, KD, A, LDAB, AFAC,
  535. $ LDAB, RWORK, RESULT( 1 ) )
  536. *
  537. * Compute residual of the computed solution.
  538. *
  539. CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK,
  540. $ LDA )
  541. CALL ZPBT02( UPLO, N, KD, NRHS, A, LDAB, X,
  542. $ LDA, WORK, LDA, RWORK,
  543. $ RESULT( 2 ) )
  544. *
  545. * Check solution from generated exact solution.
  546. *
  547. CALL ZGET04( N, NRHS, X, LDA, XACT, LDA,
  548. $ RCONDC, RESULT( 3 ) )
  549. NT = 3
  550. *
  551. * Print information about the tests that did
  552. * not pass the threshold.
  553. *
  554. DO 30 K = 1, NT
  555. IF( RESULT( K ).GE.THRESH ) THEN
  556. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  557. $ CALL ALADHD( NOUT, PATH )
  558. WRITE( NOUT, FMT = 9999 )'ZPBSV ',
  559. $ UPLO, N, KD, IMAT, K, RESULT( K )
  560. NFAIL = NFAIL + 1
  561. END IF
  562. 30 CONTINUE
  563. NRUN = NRUN + NT
  564. 40 CONTINUE
  565. END IF
  566. *
  567. * --- Test ZPBSVX ---
  568. *
  569. IF( .NOT.PREFAC )
  570. $ CALL ZLASET( 'Full', KD+1, N, DCMPLX( ZERO ),
  571. $ DCMPLX( ZERO ), AFAC, LDAB )
  572. CALL ZLASET( 'Full', N, NRHS, DCMPLX( ZERO ),
  573. $ DCMPLX( ZERO ), X, LDA )
  574. IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
  575. *
  576. * Equilibrate the matrix if FACT='F' and
  577. * EQUED='Y'
  578. *
  579. CALL ZLAQHB( UPLO, N, KD, A, LDAB, S, SCOND,
  580. $ AMAX, EQUED )
  581. END IF
  582. *
  583. * Solve the system and compute the condition
  584. * number and error bounds using ZPBSVX.
  585. *
  586. SRNAMT = 'ZPBSVX'
  587. CALL ZPBSVX( FACT, UPLO, N, KD, NRHS, A, LDAB,
  588. $ AFAC, LDAB, EQUED, S, B, LDA, X,
  589. $ LDA, RCOND, RWORK, RWORK( NRHS+1 ),
  590. $ WORK, RWORK( 2*NRHS+1 ), INFO )
  591. *
  592. * Check the error code from ZPBSVX.
  593. *
  594. IF( INFO.NE.IZERO ) THEN
  595. CALL ALAERH( PATH, 'ZPBSVX', INFO, IZERO,
  596. $ FACT // UPLO, N, N, KD, KD,
  597. $ NRHS, IMAT, NFAIL, NERRS, NOUT )
  598. GO TO 60
  599. END IF
  600. *
  601. IF( INFO.EQ.0 ) THEN
  602. IF( .NOT.PREFAC ) THEN
  603. *
  604. * Reconstruct matrix from factors and
  605. * compute residual.
  606. *
  607. CALL ZPBT01( UPLO, N, KD, A, LDAB, AFAC,
  608. $ LDAB, RWORK( 2*NRHS+1 ),
  609. $ RESULT( 1 ) )
  610. K1 = 1
  611. ELSE
  612. K1 = 2
  613. END IF
  614. *
  615. * Compute residual of the computed solution.
  616. *
  617. CALL ZLACPY( 'Full', N, NRHS, BSAV, LDA,
  618. $ WORK, LDA )
  619. CALL ZPBT02( UPLO, N, KD, NRHS, ASAV, LDAB,
  620. $ X, LDA, WORK, LDA,
  621. $ RWORK( 2*NRHS+1 ), RESULT( 2 ) )
  622. *
  623. * Check solution from generated exact solution.
  624. *
  625. IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
  626. $ 'N' ) ) ) THEN
  627. CALL ZGET04( N, NRHS, X, LDA, XACT, LDA,
  628. $ RCONDC, RESULT( 3 ) )
  629. ELSE
  630. CALL ZGET04( N, NRHS, X, LDA, XACT, LDA,
  631. $ ROLDC, RESULT( 3 ) )
  632. END IF
  633. *
  634. * Check the error bounds from iterative
  635. * refinement.
  636. *
  637. CALL ZPBT05( UPLO, N, KD, NRHS, ASAV, LDAB,
  638. $ B, LDA, X, LDA, XACT, LDA,
  639. $ RWORK, RWORK( NRHS+1 ),
  640. $ RESULT( 4 ) )
  641. ELSE
  642. K1 = 6
  643. END IF
  644. *
  645. * Compare RCOND from ZPBSVX with the computed
  646. * value in RCONDC.
  647. *
  648. RESULT( 6 ) = DGET06( RCOND, RCONDC )
  649. *
  650. * Print information about the tests that did not
  651. * pass the threshold.
  652. *
  653. DO 50 K = K1, 6
  654. IF( RESULT( K ).GE.THRESH ) THEN
  655. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  656. $ CALL ALADHD( NOUT, PATH )
  657. IF( PREFAC ) THEN
  658. WRITE( NOUT, FMT = 9997 )'ZPBSVX',
  659. $ FACT, UPLO, N, KD, EQUED, IMAT, K,
  660. $ RESULT( K )
  661. ELSE
  662. WRITE( NOUT, FMT = 9998 )'ZPBSVX',
  663. $ FACT, UPLO, N, KD, IMAT, K,
  664. $ RESULT( K )
  665. END IF
  666. NFAIL = NFAIL + 1
  667. END IF
  668. 50 CONTINUE
  669. NRUN = NRUN + 7 - K1
  670. 60 CONTINUE
  671. 70 CONTINUE
  672. 80 CONTINUE
  673. 90 CONTINUE
  674. 100 CONTINUE
  675. 110 CONTINUE
  676. *
  677. * Print a summary of the results.
  678. *
  679. CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
  680. *
  681. 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', KD =', I5,
  682. $ ', type ', I1, ', test(', I1, ')=', G12.5 )
  683. 9998 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ', I5, ', ', I5,
  684. $ ', ... ), type ', I1, ', test(', I1, ')=', G12.5 )
  685. 9997 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ', I5, ', ', I5,
  686. $ ', ... ), EQUED=''', A1, ''', type ', I1, ', test(', I1,
  687. $ ')=', G12.5 )
  688. RETURN
  689. *
  690. * End of ZDRVPB
  691. *
  692. END