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cdrvpox.f 26 kB

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  1. *> \brief \b CDRVPOX
  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 CDRVPO( 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. * REAL THRESH
  19. * ..
  20. * .. Array Arguments ..
  21. * LOGICAL DOTYPE( * )
  22. * INTEGER NVAL( * )
  23. * REAL RWORK( * ), S( * )
  24. * COMPLEX A( * ), AFAC( * ), ASAV( * ), B( * ),
  25. * $ BSAV( * ), WORK( * ), X( * ), XACT( * )
  26. * ..
  27. *
  28. *
  29. *> \par Purpose:
  30. * =============
  31. *>
  32. *> \verbatim
  33. *>
  34. *> CDRVPO tests the driver routines CPOSV, -SVX, and -SVXX.
  35. *>
  36. *> Note that this file is used only when the XBLAS are available,
  37. *> otherwise cdrvpo.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 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 COMPLEX array, dimension (NMAX*NMAX)
  94. *> \endverbatim
  95. *>
  96. *> \param[out] AFAC
  97. *> \verbatim
  98. *> AFAC is COMPLEX array, dimension (NMAX*NMAX)
  99. *> \endverbatim
  100. *>
  101. *> \param[out] ASAV
  102. *> \verbatim
  103. *> ASAV is COMPLEX array, dimension (NMAX*NMAX)
  104. *> \endverbatim
  105. *>
  106. *> \param[out] B
  107. *> \verbatim
  108. *> B is COMPLEX array, dimension (NMAX*NRHS)
  109. *> \endverbatim
  110. *>
  111. *> \param[out] BSAV
  112. *> \verbatim
  113. *> BSAV is COMPLEX array, dimension (NMAX*NRHS)
  114. *> \endverbatim
  115. *>
  116. *> \param[out] X
  117. *> \verbatim
  118. *> X is COMPLEX array, dimension (NMAX*NRHS)
  119. *> \endverbatim
  120. *>
  121. *> \param[out] XACT
  122. *> \verbatim
  123. *> XACT is COMPLEX array, dimension (NMAX*NRHS)
  124. *> \endverbatim
  125. *>
  126. *> \param[out] S
  127. *> \verbatim
  128. *> S is REAL array, dimension (NMAX)
  129. *> \endverbatim
  130. *>
  131. *> \param[out] WORK
  132. *> \verbatim
  133. *> WORK is COMPLEX array, dimension
  134. *> (NMAX*max(3,NRHS))
  135. *> \endverbatim
  136. *>
  137. *> \param[out] RWORK
  138. *> \verbatim
  139. *> RWORK is REAL array, dimension (NMAX+2*NRHS)
  140. *> \endverbatim
  141. *>
  142. *> \param[in] NOUT
  143. *> \verbatim
  144. *> NOUT is INTEGER
  145. *> The unit number for output.
  146. *> \endverbatim
  147. *
  148. * Authors:
  149. * ========
  150. *
  151. *> \author Univ. of Tennessee
  152. *> \author Univ. of California Berkeley
  153. *> \author Univ. of Colorado Denver
  154. *> \author NAG Ltd.
  155. *
  156. *> \ingroup complex_lin
  157. *
  158. * =====================================================================
  159. SUBROUTINE CDRVPO( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
  160. $ A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
  161. $ RWORK, NOUT )
  162. *
  163. * -- LAPACK test routine --
  164. * -- LAPACK is a software package provided by Univ. of Tennessee, --
  165. * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  166. *
  167. * .. Scalar Arguments ..
  168. LOGICAL TSTERR
  169. INTEGER NMAX, NN, NOUT, NRHS
  170. REAL THRESH
  171. * ..
  172. * .. Array Arguments ..
  173. LOGICAL DOTYPE( * )
  174. INTEGER NVAL( * )
  175. REAL RWORK( * ), S( * )
  176. COMPLEX A( * ), AFAC( * ), ASAV( * ), B( * ),
  177. $ BSAV( * ), WORK( * ), X( * ), XACT( * )
  178. * ..
  179. *
  180. * =====================================================================
  181. *
  182. * .. Parameters ..
  183. REAL ONE, ZERO
  184. PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
  185. INTEGER NTYPES
  186. PARAMETER ( NTYPES = 9 )
  187. INTEGER NTESTS
  188. PARAMETER ( NTESTS = 6 )
  189. * ..
  190. * .. Local Scalars ..
  191. LOGICAL EQUIL, NOFACT, PREFAC, ZEROT
  192. CHARACTER DIST, EQUED, FACT, TYPE, UPLO, XTYPE
  193. CHARACTER*3 PATH
  194. INTEGER I, IEQUED, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
  195. $ IZERO, K, K1, KL, KU, LDA, MODE, N, NB, NBMIN,
  196. $ NERRS, NFACT, NFAIL, NIMAT, NRUN, NT,
  197. $ N_ERR_BNDS
  198. REAL AINVNM, AMAX, ANORM, CNDNUM, RCOND, RCONDC,
  199. $ ROLDC, SCOND, RPVGRW_SVXX
  200. * ..
  201. * .. Local Arrays ..
  202. CHARACTER EQUEDS( 2 ), FACTS( 3 ), UPLOS( 2 )
  203. INTEGER ISEED( 4 ), ISEEDY( 4 )
  204. REAL RESULT( NTESTS ), BERR( NRHS ),
  205. $ ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
  206. * ..
  207. * .. External Functions ..
  208. LOGICAL LSAME
  209. REAL CLANHE, SGET06
  210. EXTERNAL LSAME, CLANHE, SGET06
  211. * ..
  212. * .. External Subroutines ..
  213. EXTERNAL ALADHD, ALAERH, ALASVM, CERRVX, CGET04, CLACPY,
  214. $ CLAIPD, CLAQHE, CLARHS, CLASET, CLATB4, CLATMS,
  215. $ CPOEQU, CPOSV, CPOSVX, CPOT01, CPOT02, CPOT05,
  216. $ CPOTRF, CPOTRI, XLAENV, CPOSVXX
  217. * ..
  218. * .. Scalars in Common ..
  219. LOGICAL LERR, OK
  220. CHARACTER*32 SRNAMT
  221. INTEGER INFOT, NUNIT
  222. * ..
  223. * .. Common blocks ..
  224. COMMON / INFOC / INFOT, NUNIT, OK, LERR
  225. COMMON / SRNAMC / SRNAMT
  226. * ..
  227. * .. Intrinsic Functions ..
  228. INTRINSIC CMPLX, MAX
  229. * ..
  230. * .. Data statements ..
  231. DATA ISEEDY / 1988, 1989, 1990, 1991 /
  232. DATA UPLOS / 'U', 'L' /
  233. DATA FACTS / 'F', 'N', 'E' /
  234. DATA EQUEDS / 'N', 'Y' /
  235. * ..
  236. * .. Executable Statements ..
  237. *
  238. * Initialize constants and the random number seed.
  239. *
  240. PATH( 1: 1 ) = 'Complex precision'
  241. PATH( 2: 3 ) = 'PO'
  242. NRUN = 0
  243. NFAIL = 0
  244. NERRS = 0
  245. DO 10 I = 1, 4
  246. ISEED( I ) = ISEEDY( I )
  247. 10 CONTINUE
  248. *
  249. * Test the error exits
  250. *
  251. IF( TSTERR )
  252. $ CALL CERRVX( PATH, NOUT )
  253. INFOT = 0
  254. *
  255. * Set the block size and minimum block size for testing.
  256. *
  257. NB = 1
  258. NBMIN = 2
  259. CALL XLAENV( 1, NB )
  260. CALL XLAENV( 2, NBMIN )
  261. *
  262. * Do for each value of N in NVAL
  263. *
  264. DO 130 IN = 1, NN
  265. N = NVAL( IN )
  266. LDA = MAX( N, 1 )
  267. XTYPE = 'N'
  268. NIMAT = NTYPES
  269. IF( N.LE.0 )
  270. $ NIMAT = 1
  271. *
  272. DO 120 IMAT = 1, NIMAT
  273. *
  274. * Do the tests only if DOTYPE( IMAT ) is true.
  275. *
  276. IF( .NOT.DOTYPE( IMAT ) )
  277. $ GO TO 120
  278. *
  279. * Skip types 3, 4, or 5 if the matrix size is too small.
  280. *
  281. ZEROT = IMAT.GE.3 .AND. IMAT.LE.5
  282. IF( ZEROT .AND. N.LT.IMAT-2 )
  283. $ GO TO 120
  284. *
  285. * Do first for UPLO = 'U', then for UPLO = 'L'
  286. *
  287. DO 110 IUPLO = 1, 2
  288. UPLO = UPLOS( IUPLO )
  289. *
  290. * Set up parameters with CLATB4 and generate a test matrix
  291. * with CLATMS.
  292. *
  293. CALL CLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
  294. $ CNDNUM, DIST )
  295. *
  296. SRNAMT = 'CLATMS'
  297. CALL CLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
  298. $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
  299. $ INFO )
  300. *
  301. * Check error code from CLATMS.
  302. *
  303. IF( INFO.NE.0 ) THEN
  304. CALL ALAERH( PATH, 'CLATMS', INFO, 0, UPLO, N, N, -1,
  305. $ -1, -1, IMAT, NFAIL, NERRS, NOUT )
  306. GO TO 110
  307. END IF
  308. *
  309. * For types 3-5, zero one row and column of the matrix to
  310. * test that INFO is returned correctly.
  311. *
  312. IF( ZEROT ) THEN
  313. IF( IMAT.EQ.3 ) THEN
  314. IZERO = 1
  315. ELSE IF( IMAT.EQ.4 ) THEN
  316. IZERO = N
  317. ELSE
  318. IZERO = N / 2 + 1
  319. END IF
  320. IOFF = ( IZERO-1 )*LDA
  321. *
  322. * Set row and column IZERO of A to 0.
  323. *
  324. IF( IUPLO.EQ.1 ) THEN
  325. DO 20 I = 1, IZERO - 1
  326. A( IOFF+I ) = ZERO
  327. 20 CONTINUE
  328. IOFF = IOFF + IZERO
  329. DO 30 I = IZERO, N
  330. A( IOFF ) = ZERO
  331. IOFF = IOFF + LDA
  332. 30 CONTINUE
  333. ELSE
  334. IOFF = IZERO
  335. DO 40 I = 1, IZERO - 1
  336. A( IOFF ) = ZERO
  337. IOFF = IOFF + LDA
  338. 40 CONTINUE
  339. IOFF = IOFF - IZERO
  340. DO 50 I = IZERO, N
  341. A( IOFF+I ) = ZERO
  342. 50 CONTINUE
  343. END IF
  344. ELSE
  345. IZERO = 0
  346. END IF
  347. *
  348. * Set the imaginary part of the diagonals.
  349. *
  350. CALL CLAIPD( N, A, LDA+1, 0 )
  351. *
  352. * Save a copy of the matrix A in ASAV.
  353. *
  354. CALL CLACPY( UPLO, N, N, A, LDA, ASAV, LDA )
  355. *
  356. DO 100 IEQUED = 1, 2
  357. EQUED = EQUEDS( IEQUED )
  358. IF( IEQUED.EQ.1 ) THEN
  359. NFACT = 3
  360. ELSE
  361. NFACT = 1
  362. END IF
  363. *
  364. DO 90 IFACT = 1, NFACT
  365. FACT = FACTS( IFACT )
  366. PREFAC = LSAME( FACT, 'F' )
  367. NOFACT = LSAME( FACT, 'N' )
  368. EQUIL = LSAME( FACT, 'E' )
  369. *
  370. IF( ZEROT ) THEN
  371. IF( PREFAC )
  372. $ GO TO 90
  373. RCONDC = ZERO
  374. *
  375. ELSE IF( .NOT.LSAME( FACT, 'N' ) ) THEN
  376. *
  377. * Compute the condition number for comparison with
  378. * the value returned by CPOSVX (FACT = 'N' reuses
  379. * the condition number from the previous iteration
  380. * with FACT = 'F').
  381. *
  382. CALL CLACPY( UPLO, N, N, ASAV, LDA, AFAC, LDA )
  383. IF( EQUIL .OR. IEQUED.GT.1 ) THEN
  384. *
  385. * Compute row and column scale factors to
  386. * equilibrate the matrix A.
  387. *
  388. CALL CPOEQU( N, AFAC, LDA, S, SCOND, AMAX,
  389. $ INFO )
  390. IF( INFO.EQ.0 .AND. N.GT.0 ) THEN
  391. IF( IEQUED.GT.1 )
  392. $ SCOND = ZERO
  393. *
  394. * Equilibrate the matrix.
  395. *
  396. CALL CLAQHE( UPLO, N, AFAC, LDA, S, SCOND,
  397. $ AMAX, EQUED )
  398. END IF
  399. END IF
  400. *
  401. * Save the condition number of the
  402. * non-equilibrated system for use in CGET04.
  403. *
  404. IF( EQUIL )
  405. $ ROLDC = RCONDC
  406. *
  407. * Compute the 1-norm of A.
  408. *
  409. ANORM = CLANHE( '1', UPLO, N, AFAC, LDA, RWORK )
  410. *
  411. * Factor the matrix A.
  412. *
  413. CALL CPOTRF( UPLO, N, AFAC, LDA, INFO )
  414. *
  415. * Form the inverse of A.
  416. *
  417. CALL CLACPY( UPLO, N, N, AFAC, LDA, A, LDA )
  418. CALL CPOTRI( UPLO, N, A, LDA, INFO )
  419. *
  420. * Compute the 1-norm condition number of A.
  421. *
  422. AINVNM = CLANHE( '1', UPLO, N, A, LDA, RWORK )
  423. IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
  424. RCONDC = ONE
  425. ELSE
  426. RCONDC = ( ONE / ANORM ) / AINVNM
  427. END IF
  428. END IF
  429. *
  430. * Restore the matrix A.
  431. *
  432. CALL CLACPY( UPLO, N, N, ASAV, LDA, A, LDA )
  433. *
  434. * Form an exact solution and set the right hand side.
  435. *
  436. SRNAMT = 'CLARHS'
  437. CALL CLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
  438. $ NRHS, A, LDA, XACT, LDA, B, LDA,
  439. $ ISEED, INFO )
  440. XTYPE = 'C'
  441. CALL CLACPY( 'Full', N, NRHS, B, LDA, BSAV, LDA )
  442. *
  443. IF( NOFACT ) THEN
  444. *
  445. * --- Test CPOSV ---
  446. *
  447. * Compute the L*L' or U'*U factorization of the
  448. * matrix and solve the system.
  449. *
  450. CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
  451. CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
  452. *
  453. SRNAMT = 'CPOSV '
  454. CALL CPOSV( UPLO, N, NRHS, AFAC, LDA, X, LDA,
  455. $ INFO )
  456. *
  457. * Check error code from CPOSV .
  458. *
  459. IF( INFO.NE.IZERO ) THEN
  460. CALL ALAERH( PATH, 'CPOSV ', INFO, IZERO,
  461. $ UPLO, N, N, -1, -1, NRHS, IMAT,
  462. $ NFAIL, NERRS, NOUT )
  463. GO TO 70
  464. ELSE IF( INFO.NE.0 ) THEN
  465. GO TO 70
  466. END IF
  467. *
  468. * Reconstruct matrix from factors and compute
  469. * residual.
  470. *
  471. CALL CPOT01( UPLO, N, A, LDA, AFAC, LDA, RWORK,
  472. $ RESULT( 1 ) )
  473. *
  474. * Compute residual of the computed solution.
  475. *
  476. CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK,
  477. $ LDA )
  478. CALL CPOT02( UPLO, N, NRHS, A, LDA, X, LDA,
  479. $ WORK, LDA, RWORK, RESULT( 2 ) )
  480. *
  481. * Check solution from generated exact solution.
  482. *
  483. CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
  484. $ RESULT( 3 ) )
  485. NT = 3
  486. *
  487. * Print information about the tests that did not
  488. * pass the threshold.
  489. *
  490. DO 60 K = 1, NT
  491. IF( RESULT( K ).GE.THRESH ) THEN
  492. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  493. $ CALL ALADHD( NOUT, PATH )
  494. WRITE( NOUT, FMT = 9999 )'CPOSV ', UPLO,
  495. $ N, IMAT, K, RESULT( K )
  496. NFAIL = NFAIL + 1
  497. END IF
  498. 60 CONTINUE
  499. NRUN = NRUN + NT
  500. 70 CONTINUE
  501. END IF
  502. *
  503. * --- Test CPOSVX ---
  504. *
  505. IF( .NOT.PREFAC )
  506. $ CALL CLASET( UPLO, N, N, CMPLX( ZERO ),
  507. $ CMPLX( ZERO ), AFAC, LDA )
  508. CALL CLASET( 'Full', N, NRHS, CMPLX( ZERO ),
  509. $ CMPLX( ZERO ), X, LDA )
  510. IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
  511. *
  512. * Equilibrate the matrix if FACT='F' and
  513. * EQUED='Y'.
  514. *
  515. CALL CLAQHE( UPLO, N, A, LDA, S, SCOND, AMAX,
  516. $ EQUED )
  517. END IF
  518. *
  519. * Solve the system and compute the condition number
  520. * and error bounds using CPOSVX.
  521. *
  522. SRNAMT = 'CPOSVX'
  523. CALL CPOSVX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
  524. $ LDA, EQUED, S, B, LDA, X, LDA, RCOND,
  525. $ RWORK, RWORK( NRHS+1 ), WORK,
  526. $ RWORK( 2*NRHS+1 ), INFO )
  527. *
  528. * Check the error code from CPOSVX.
  529. *
  530. IF( INFO.NE.IZERO ) THEN
  531. CALL ALAERH( PATH, 'CPOSVX', INFO, IZERO,
  532. $ FACT // UPLO, N, N, -1, -1, NRHS,
  533. $ IMAT, NFAIL, NERRS, NOUT )
  534. GO TO 90
  535. END IF
  536. *
  537. IF( INFO.EQ.0 ) THEN
  538. IF( .NOT.PREFAC ) THEN
  539. *
  540. * Reconstruct matrix from factors and compute
  541. * residual.
  542. *
  543. CALL CPOT01( UPLO, N, A, LDA, AFAC, LDA,
  544. $ RWORK( 2*NRHS+1 ), RESULT( 1 ) )
  545. K1 = 1
  546. ELSE
  547. K1 = 2
  548. END IF
  549. *
  550. * Compute residual of the computed solution.
  551. *
  552. CALL CLACPY( 'Full', N, NRHS, BSAV, LDA, WORK,
  553. $ LDA )
  554. CALL CPOT02( UPLO, N, NRHS, ASAV, LDA, X, LDA,
  555. $ WORK, LDA, RWORK( 2*NRHS+1 ),
  556. $ RESULT( 2 ) )
  557. *
  558. * Check solution from generated exact solution.
  559. *
  560. IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
  561. $ 'N' ) ) ) THEN
  562. CALL CGET04( N, NRHS, X, LDA, XACT, LDA,
  563. $ RCONDC, RESULT( 3 ) )
  564. ELSE
  565. CALL CGET04( N, NRHS, X, LDA, XACT, LDA,
  566. $ ROLDC, RESULT( 3 ) )
  567. END IF
  568. *
  569. * Check the error bounds from iterative
  570. * refinement.
  571. *
  572. CALL CPOT05( UPLO, N, NRHS, ASAV, LDA, B, LDA,
  573. $ X, LDA, XACT, LDA, RWORK,
  574. $ RWORK( NRHS+1 ), RESULT( 4 ) )
  575. ELSE
  576. K1 = 6
  577. END IF
  578. *
  579. * Compare RCOND from CPOSVX with the computed value
  580. * in RCONDC.
  581. *
  582. RESULT( 6 ) = SGET06( RCOND, RCONDC )
  583. *
  584. * Print information about the tests that did not pass
  585. * the threshold.
  586. *
  587. DO 80 K = K1, 6
  588. IF( RESULT( K ).GE.THRESH ) THEN
  589. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  590. $ CALL ALADHD( NOUT, PATH )
  591. IF( PREFAC ) THEN
  592. WRITE( NOUT, FMT = 9997 )'CPOSVX', FACT,
  593. $ UPLO, N, EQUED, IMAT, K, RESULT( K )
  594. ELSE
  595. WRITE( NOUT, FMT = 9998 )'CPOSVX', FACT,
  596. $ UPLO, N, IMAT, K, RESULT( K )
  597. END IF
  598. NFAIL = NFAIL + 1
  599. END IF
  600. 80 CONTINUE
  601. NRUN = NRUN + 7 - K1
  602. *
  603. * --- Test CPOSVXX ---
  604. *
  605. * Restore the matrices A and B.
  606. *
  607. CALL CLACPY( 'Full', N, N, ASAV, LDA, A, LDA )
  608. CALL CLACPY( 'Full', N, NRHS, BSAV, LDA, B, LDA )
  609. IF( .NOT.PREFAC )
  610. $ CALL CLASET( UPLO, N, N, CMPLX( ZERO ),
  611. $ CMPLX( ZERO ), AFAC, LDA )
  612. CALL CLASET( 'Full', N, NRHS, CMPLX( ZERO ),
  613. $ CMPLX( ZERO ), X, LDA )
  614. IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
  615. *
  616. * Equilibrate the matrix if FACT='F' and
  617. * EQUED='Y'.
  618. *
  619. CALL CLAQHE( UPLO, N, A, LDA, S, SCOND, AMAX,
  620. $ EQUED )
  621. END IF
  622. *
  623. * Solve the system and compute the condition number
  624. * and error bounds using CPOSVXX.
  625. *
  626. SRNAMT = 'CPOSVXX'
  627. N_ERR_BNDS = 3
  628. CALL CPOSVXX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
  629. $ LDA, EQUED, S, B, LDA, X,
  630. $ LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
  631. $ ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
  632. $ RWORK( 2*NRHS+1 ), INFO )
  633. *
  634. * Check the error code from CPOSVXX.
  635. *
  636. IF( INFO.EQ.N+1 ) GOTO 90
  637. IF( INFO.NE.IZERO ) THEN
  638. CALL ALAERH( PATH, 'CPOSVXX', INFO, IZERO,
  639. $ FACT // UPLO, N, N, -1, -1, NRHS,
  640. $ IMAT, NFAIL, NERRS, NOUT )
  641. GO TO 90
  642. END IF
  643. *
  644. IF( INFO.EQ.0 ) THEN
  645. IF( .NOT.PREFAC ) THEN
  646. *
  647. * Reconstruct matrix from factors and compute
  648. * residual.
  649. *
  650. CALL CPOT01( UPLO, N, A, LDA, AFAC, LDA,
  651. $ RWORK( 2*NRHS+1 ), RESULT( 1 ) )
  652. K1 = 1
  653. ELSE
  654. K1 = 2
  655. END IF
  656. *
  657. * Compute residual of the computed solution.
  658. *
  659. CALL CLACPY( 'Full', N, NRHS, BSAV, LDA, WORK,
  660. $ LDA )
  661. CALL CPOT02( UPLO, N, NRHS, ASAV, LDA, X, LDA,
  662. $ WORK, LDA, RWORK( 2*NRHS+1 ),
  663. $ RESULT( 2 ) )
  664. *
  665. * Check solution from generated exact solution.
  666. *
  667. IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
  668. $ 'N' ) ) ) THEN
  669. CALL CGET04( N, NRHS, X, LDA, XACT, LDA,
  670. $ RCONDC, RESULT( 3 ) )
  671. ELSE
  672. CALL CGET04( N, NRHS, X, LDA, XACT, LDA,
  673. $ ROLDC, RESULT( 3 ) )
  674. END IF
  675. *
  676. * Check the error bounds from iterative
  677. * refinement.
  678. *
  679. CALL CPOT05( UPLO, N, NRHS, ASAV, LDA, B, LDA,
  680. $ X, LDA, XACT, LDA, RWORK,
  681. $ RWORK( NRHS+1 ), RESULT( 4 ) )
  682. ELSE
  683. K1 = 6
  684. END IF
  685. *
  686. * Compare RCOND from CPOSVXX with the computed value
  687. * in RCONDC.
  688. *
  689. RESULT( 6 ) = SGET06( RCOND, RCONDC )
  690. *
  691. * Print information about the tests that did not pass
  692. * the threshold.
  693. *
  694. DO 85 K = K1, 6
  695. IF( RESULT( K ).GE.THRESH ) THEN
  696. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  697. $ CALL ALADHD( NOUT, PATH )
  698. IF( PREFAC ) THEN
  699. WRITE( NOUT, FMT = 9997 )'CPOSVXX', FACT,
  700. $ UPLO, N, EQUED, IMAT, K, RESULT( K )
  701. ELSE
  702. WRITE( NOUT, FMT = 9998 )'CPOSVXX', FACT,
  703. $ UPLO, N, IMAT, K, RESULT( K )
  704. END IF
  705. NFAIL = NFAIL + 1
  706. END IF
  707. 85 CONTINUE
  708. NRUN = NRUN + 7 - K1
  709. 90 CONTINUE
  710. 100 CONTINUE
  711. 110 CONTINUE
  712. 120 CONTINUE
  713. 130 CONTINUE
  714. *
  715. * Print a summary of the results.
  716. *
  717. CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
  718. *
  719. * Test Error Bounds for CGESVXX
  720. CALL CEBCHVXX(THRESH, PATH)
  721. 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I1,
  722. $ ', test(', I1, ')=', G12.5 )
  723. 9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N=', I5,
  724. $ ', type ', I1, ', test(', I1, ')=', G12.5 )
  725. 9997 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N=', I5,
  726. $ ', EQUED=''', A1, ''', type ', I1, ', test(', I1, ') =',
  727. $ G12.5 )
  728. RETURN
  729. *
  730. * End of CDRVPOX
  731. *
  732. END