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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. *> \date December 2016
  157. *
  158. *> \ingroup complex_lin
  159. *
  160. * =====================================================================
  161. SUBROUTINE CDRVPO( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
  162. $ A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
  163. $ RWORK, NOUT )
  164. *
  165. * -- LAPACK test routine (version 3.7.0) --
  166. * -- LAPACK is a software package provided by Univ. of Tennessee, --
  167. * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  168. * December 2016
  169. *
  170. * .. Scalar Arguments ..
  171. LOGICAL TSTERR
  172. INTEGER NMAX, NN, NOUT, NRHS
  173. REAL THRESH
  174. * ..
  175. * .. Array Arguments ..
  176. LOGICAL DOTYPE( * )
  177. INTEGER NVAL( * )
  178. REAL RWORK( * ), S( * )
  179. COMPLEX A( * ), AFAC( * ), ASAV( * ), B( * ),
  180. $ BSAV( * ), WORK( * ), X( * ), XACT( * )
  181. * ..
  182. *
  183. * =====================================================================
  184. *
  185. * .. Parameters ..
  186. REAL ONE, ZERO
  187. PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
  188. INTEGER NTYPES
  189. PARAMETER ( NTYPES = 9 )
  190. INTEGER NTESTS
  191. PARAMETER ( NTESTS = 6 )
  192. * ..
  193. * .. Local Scalars ..
  194. LOGICAL EQUIL, NOFACT, PREFAC, ZEROT
  195. CHARACTER DIST, EQUED, FACT, TYPE, UPLO, XTYPE
  196. CHARACTER*3 PATH
  197. INTEGER I, IEQUED, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
  198. $ IZERO, K, K1, KL, KU, LDA, MODE, N, NB, NBMIN,
  199. $ NERRS, NFACT, NFAIL, NIMAT, NRUN, NT,
  200. $ N_ERR_BNDS
  201. REAL AINVNM, AMAX, ANORM, CNDNUM, RCOND, RCONDC,
  202. $ ROLDC, SCOND, RPVGRW_SVXX
  203. * ..
  204. * .. Local Arrays ..
  205. CHARACTER EQUEDS( 2 ), FACTS( 3 ), UPLOS( 2 )
  206. INTEGER ISEED( 4 ), ISEEDY( 4 )
  207. REAL RESULT( NTESTS ), BERR( NRHS ),
  208. $ ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
  209. * ..
  210. * .. External Functions ..
  211. LOGICAL LSAME
  212. REAL CLANHE, SGET06
  213. EXTERNAL LSAME, CLANHE, SGET06
  214. * ..
  215. * .. External Subroutines ..
  216. EXTERNAL ALADHD, ALAERH, ALASVM, CERRVX, CGET04, CLACPY,
  217. $ CLAIPD, CLAQHE, CLARHS, CLASET, CLATB4, CLATMS,
  218. $ CPOEQU, CPOSV, CPOSVX, CPOT01, CPOT02, CPOT05,
  219. $ CPOTRF, CPOTRI, XLAENV, CPOSVXX
  220. * ..
  221. * .. Scalars in Common ..
  222. LOGICAL LERR, OK
  223. CHARACTER*32 SRNAMT
  224. INTEGER INFOT, NUNIT
  225. * ..
  226. * .. Common blocks ..
  227. COMMON / INFOC / INFOT, NUNIT, OK, LERR
  228. COMMON / SRNAMC / SRNAMT
  229. * ..
  230. * .. Intrinsic Functions ..
  231. INTRINSIC CMPLX, MAX
  232. * ..
  233. * .. Data statements ..
  234. DATA ISEEDY / 1988, 1989, 1990, 1991 /
  235. DATA UPLOS / 'U', 'L' /
  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 ) = 'Complex precision'
  244. PATH( 2: 3 ) = 'PO'
  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 CERRVX( PATH, NOUT )
  256. INFOT = 0
  257. *
  258. * Set the block size and minimum block size for testing.
  259. *
  260. NB = 1
  261. NBMIN = 2
  262. CALL XLAENV( 1, NB )
  263. CALL XLAENV( 2, NBMIN )
  264. *
  265. * Do for each value of N in NVAL
  266. *
  267. DO 130 IN = 1, NN
  268. N = NVAL( IN )
  269. LDA = MAX( N, 1 )
  270. XTYPE = 'N'
  271. NIMAT = NTYPES
  272. IF( N.LE.0 )
  273. $ NIMAT = 1
  274. *
  275. DO 120 IMAT = 1, NIMAT
  276. *
  277. * Do the tests only if DOTYPE( IMAT ) is true.
  278. *
  279. IF( .NOT.DOTYPE( IMAT ) )
  280. $ GO TO 120
  281. *
  282. * Skip types 3, 4, or 5 if the matrix size is too small.
  283. *
  284. ZEROT = IMAT.GE.3 .AND. IMAT.LE.5
  285. IF( ZEROT .AND. N.LT.IMAT-2 )
  286. $ GO TO 120
  287. *
  288. * Do first for UPLO = 'U', then for UPLO = 'L'
  289. *
  290. DO 110 IUPLO = 1, 2
  291. UPLO = UPLOS( IUPLO )
  292. *
  293. * Set up parameters with CLATB4 and generate a test matrix
  294. * with CLATMS.
  295. *
  296. CALL CLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
  297. $ CNDNUM, DIST )
  298. *
  299. SRNAMT = 'CLATMS'
  300. CALL CLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
  301. $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
  302. $ INFO )
  303. *
  304. * Check error code from CLATMS.
  305. *
  306. IF( INFO.NE.0 ) THEN
  307. CALL ALAERH( PATH, 'CLATMS', INFO, 0, UPLO, N, N, -1,
  308. $ -1, -1, IMAT, NFAIL, NERRS, NOUT )
  309. GO TO 110
  310. END IF
  311. *
  312. * For types 3-5, zero one row and column of the matrix to
  313. * test that INFO is returned correctly.
  314. *
  315. IF( ZEROT ) THEN
  316. IF( IMAT.EQ.3 ) THEN
  317. IZERO = 1
  318. ELSE IF( IMAT.EQ.4 ) THEN
  319. IZERO = N
  320. ELSE
  321. IZERO = N / 2 + 1
  322. END IF
  323. IOFF = ( IZERO-1 )*LDA
  324. *
  325. * Set row and column IZERO of A to 0.
  326. *
  327. IF( IUPLO.EQ.1 ) THEN
  328. DO 20 I = 1, IZERO - 1
  329. A( IOFF+I ) = ZERO
  330. 20 CONTINUE
  331. IOFF = IOFF + IZERO
  332. DO 30 I = IZERO, N
  333. A( IOFF ) = ZERO
  334. IOFF = IOFF + LDA
  335. 30 CONTINUE
  336. ELSE
  337. IOFF = IZERO
  338. DO 40 I = 1, IZERO - 1
  339. A( IOFF ) = ZERO
  340. IOFF = IOFF + LDA
  341. 40 CONTINUE
  342. IOFF = IOFF - IZERO
  343. DO 50 I = IZERO, N
  344. A( IOFF+I ) = ZERO
  345. 50 CONTINUE
  346. END IF
  347. ELSE
  348. IZERO = 0
  349. END IF
  350. *
  351. * Set the imaginary part of the diagonals.
  352. *
  353. CALL CLAIPD( N, A, LDA+1, 0 )
  354. *
  355. * Save a copy of the matrix A in ASAV.
  356. *
  357. CALL CLACPY( UPLO, N, N, A, LDA, ASAV, LDA )
  358. *
  359. DO 100 IEQUED = 1, 2
  360. EQUED = EQUEDS( IEQUED )
  361. IF( IEQUED.EQ.1 ) THEN
  362. NFACT = 3
  363. ELSE
  364. NFACT = 1
  365. END IF
  366. *
  367. DO 90 IFACT = 1, NFACT
  368. FACT = FACTS( IFACT )
  369. PREFAC = LSAME( FACT, 'F' )
  370. NOFACT = LSAME( FACT, 'N' )
  371. EQUIL = LSAME( FACT, 'E' )
  372. *
  373. IF( ZEROT ) THEN
  374. IF( PREFAC )
  375. $ GO TO 90
  376. RCONDC = ZERO
  377. *
  378. ELSE IF( .NOT.LSAME( FACT, 'N' ) ) THEN
  379. *
  380. * Compute the condition number for comparison with
  381. * the value returned by CPOSVX (FACT = 'N' reuses
  382. * the condition number from the previous iteration
  383. * with FACT = 'F').
  384. *
  385. CALL CLACPY( UPLO, N, N, ASAV, LDA, AFAC, LDA )
  386. IF( EQUIL .OR. IEQUED.GT.1 ) THEN
  387. *
  388. * Compute row and column scale factors to
  389. * equilibrate the matrix A.
  390. *
  391. CALL CPOEQU( N, AFAC, LDA, S, SCOND, AMAX,
  392. $ INFO )
  393. IF( INFO.EQ.0 .AND. N.GT.0 ) THEN
  394. IF( IEQUED.GT.1 )
  395. $ SCOND = ZERO
  396. *
  397. * Equilibrate the matrix.
  398. *
  399. CALL CLAQHE( UPLO, N, AFAC, LDA, S, SCOND,
  400. $ AMAX, EQUED )
  401. END IF
  402. END IF
  403. *
  404. * Save the condition number of the
  405. * non-equilibrated system for use in CGET04.
  406. *
  407. IF( EQUIL )
  408. $ ROLDC = RCONDC
  409. *
  410. * Compute the 1-norm of A.
  411. *
  412. ANORM = CLANHE( '1', UPLO, N, AFAC, LDA, RWORK )
  413. *
  414. * Factor the matrix A.
  415. *
  416. CALL CPOTRF( UPLO, N, AFAC, LDA, INFO )
  417. *
  418. * Form the inverse of A.
  419. *
  420. CALL CLACPY( UPLO, N, N, AFAC, LDA, A, LDA )
  421. CALL CPOTRI( UPLO, N, A, LDA, INFO )
  422. *
  423. * Compute the 1-norm condition number of A.
  424. *
  425. AINVNM = CLANHE( '1', UPLO, N, A, LDA, RWORK )
  426. IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
  427. RCONDC = ONE
  428. ELSE
  429. RCONDC = ( ONE / ANORM ) / AINVNM
  430. END IF
  431. END IF
  432. *
  433. * Restore the matrix A.
  434. *
  435. CALL CLACPY( UPLO, N, N, ASAV, LDA, A, LDA )
  436. *
  437. * Form an exact solution and set the right hand side.
  438. *
  439. SRNAMT = 'CLARHS'
  440. CALL CLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
  441. $ NRHS, A, LDA, XACT, LDA, B, LDA,
  442. $ ISEED, INFO )
  443. XTYPE = 'C'
  444. CALL CLACPY( 'Full', N, NRHS, B, LDA, BSAV, LDA )
  445. *
  446. IF( NOFACT ) THEN
  447. *
  448. * --- Test CPOSV ---
  449. *
  450. * Compute the L*L' or U'*U factorization of the
  451. * matrix and solve the system.
  452. *
  453. CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
  454. CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
  455. *
  456. SRNAMT = 'CPOSV '
  457. CALL CPOSV( UPLO, N, NRHS, AFAC, LDA, X, LDA,
  458. $ INFO )
  459. *
  460. * Check error code from CPOSV .
  461. *
  462. IF( INFO.NE.IZERO ) THEN
  463. CALL ALAERH( PATH, 'CPOSV ', INFO, IZERO,
  464. $ UPLO, N, N, -1, -1, NRHS, IMAT,
  465. $ NFAIL, NERRS, NOUT )
  466. GO TO 70
  467. ELSE IF( INFO.NE.0 ) THEN
  468. GO TO 70
  469. END IF
  470. *
  471. * Reconstruct matrix from factors and compute
  472. * residual.
  473. *
  474. CALL CPOT01( UPLO, N, A, LDA, AFAC, LDA, RWORK,
  475. $ RESULT( 1 ) )
  476. *
  477. * Compute residual of the computed solution.
  478. *
  479. CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK,
  480. $ LDA )
  481. CALL CPOT02( UPLO, N, NRHS, A, LDA, X, LDA,
  482. $ WORK, LDA, RWORK, RESULT( 2 ) )
  483. *
  484. * Check solution from generated exact solution.
  485. *
  486. CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
  487. $ RESULT( 3 ) )
  488. NT = 3
  489. *
  490. * Print information about the tests that did not
  491. * pass the threshold.
  492. *
  493. DO 60 K = 1, NT
  494. IF( RESULT( K ).GE.THRESH ) THEN
  495. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  496. $ CALL ALADHD( NOUT, PATH )
  497. WRITE( NOUT, FMT = 9999 )'CPOSV ', UPLO,
  498. $ N, IMAT, K, RESULT( K )
  499. NFAIL = NFAIL + 1
  500. END IF
  501. 60 CONTINUE
  502. NRUN = NRUN + NT
  503. 70 CONTINUE
  504. END IF
  505. *
  506. * --- Test CPOSVX ---
  507. *
  508. IF( .NOT.PREFAC )
  509. $ CALL CLASET( UPLO, N, N, CMPLX( ZERO ),
  510. $ CMPLX( ZERO ), AFAC, LDA )
  511. CALL CLASET( 'Full', N, NRHS, CMPLX( ZERO ),
  512. $ CMPLX( ZERO ), X, LDA )
  513. IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
  514. *
  515. * Equilibrate the matrix if FACT='F' and
  516. * EQUED='Y'.
  517. *
  518. CALL CLAQHE( UPLO, N, A, LDA, S, SCOND, AMAX,
  519. $ EQUED )
  520. END IF
  521. *
  522. * Solve the system and compute the condition number
  523. * and error bounds using CPOSVX.
  524. *
  525. SRNAMT = 'CPOSVX'
  526. CALL CPOSVX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
  527. $ LDA, EQUED, S, B, LDA, X, LDA, RCOND,
  528. $ RWORK, RWORK( NRHS+1 ), WORK,
  529. $ RWORK( 2*NRHS+1 ), INFO )
  530. *
  531. * Check the error code from CPOSVX.
  532. *
  533. IF( INFO.NE.IZERO ) THEN
  534. CALL ALAERH( PATH, 'CPOSVX', INFO, IZERO,
  535. $ FACT // UPLO, N, N, -1, -1, NRHS,
  536. $ IMAT, NFAIL, NERRS, NOUT )
  537. GO TO 90
  538. END IF
  539. *
  540. IF( INFO.EQ.0 ) THEN
  541. IF( .NOT.PREFAC ) THEN
  542. *
  543. * Reconstruct matrix from factors and compute
  544. * residual.
  545. *
  546. CALL CPOT01( UPLO, N, A, LDA, AFAC, LDA,
  547. $ RWORK( 2*NRHS+1 ), RESULT( 1 ) )
  548. K1 = 1
  549. ELSE
  550. K1 = 2
  551. END IF
  552. *
  553. * Compute residual of the computed solution.
  554. *
  555. CALL CLACPY( 'Full', N, NRHS, BSAV, LDA, WORK,
  556. $ LDA )
  557. CALL CPOT02( UPLO, N, NRHS, ASAV, LDA, X, LDA,
  558. $ WORK, LDA, RWORK( 2*NRHS+1 ),
  559. $ RESULT( 2 ) )
  560. *
  561. * Check solution from generated exact solution.
  562. *
  563. IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
  564. $ 'N' ) ) ) THEN
  565. CALL CGET04( N, NRHS, X, LDA, XACT, LDA,
  566. $ RCONDC, RESULT( 3 ) )
  567. ELSE
  568. CALL CGET04( N, NRHS, X, LDA, XACT, LDA,
  569. $ ROLDC, RESULT( 3 ) )
  570. END IF
  571. *
  572. * Check the error bounds from iterative
  573. * refinement.
  574. *
  575. CALL CPOT05( UPLO, N, NRHS, ASAV, LDA, B, LDA,
  576. $ X, LDA, XACT, LDA, RWORK,
  577. $ RWORK( NRHS+1 ), RESULT( 4 ) )
  578. ELSE
  579. K1 = 6
  580. END IF
  581. *
  582. * Compare RCOND from CPOSVX with the computed value
  583. * in RCONDC.
  584. *
  585. RESULT( 6 ) = SGET06( RCOND, RCONDC )
  586. *
  587. * Print information about the tests that did not pass
  588. * the threshold.
  589. *
  590. DO 80 K = K1, 6
  591. IF( RESULT( K ).GE.THRESH ) THEN
  592. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  593. $ CALL ALADHD( NOUT, PATH )
  594. IF( PREFAC ) THEN
  595. WRITE( NOUT, FMT = 9997 )'CPOSVX', FACT,
  596. $ UPLO, N, EQUED, IMAT, K, RESULT( K )
  597. ELSE
  598. WRITE( NOUT, FMT = 9998 )'CPOSVX', FACT,
  599. $ UPLO, N, IMAT, K, RESULT( K )
  600. END IF
  601. NFAIL = NFAIL + 1
  602. END IF
  603. 80 CONTINUE
  604. NRUN = NRUN + 7 - K1
  605. *
  606. * --- Test CPOSVXX ---
  607. *
  608. * Restore the matrices A and B.
  609. *
  610. CALL CLACPY( 'Full', N, N, ASAV, LDA, A, LDA )
  611. CALL CLACPY( 'Full', N, NRHS, BSAV, LDA, B, LDA )
  612. IF( .NOT.PREFAC )
  613. $ CALL CLASET( UPLO, N, N, CMPLX( ZERO ),
  614. $ CMPLX( ZERO ), AFAC, LDA )
  615. CALL CLASET( 'Full', N, NRHS, CMPLX( ZERO ),
  616. $ CMPLX( ZERO ), X, LDA )
  617. IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
  618. *
  619. * Equilibrate the matrix if FACT='F' and
  620. * EQUED='Y'.
  621. *
  622. CALL CLAQHE( UPLO, N, A, LDA, S, SCOND, AMAX,
  623. $ EQUED )
  624. END IF
  625. *
  626. * Solve the system and compute the condition number
  627. * and error bounds using CPOSVXX.
  628. *
  629. SRNAMT = 'CPOSVXX'
  630. N_ERR_BNDS = 3
  631. CALL CPOSVXX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
  632. $ LDA, EQUED, S, B, LDA, X,
  633. $ LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
  634. $ ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
  635. $ RWORK( 2*NRHS+1 ), INFO )
  636. *
  637. * Check the error code from CPOSVXX.
  638. *
  639. IF( INFO.EQ.N+1 ) GOTO 90
  640. IF( INFO.NE.IZERO ) THEN
  641. CALL ALAERH( PATH, 'CPOSVXX', INFO, IZERO,
  642. $ FACT // UPLO, N, N, -1, -1, NRHS,
  643. $ IMAT, NFAIL, NERRS, NOUT )
  644. GO TO 90
  645. END IF
  646. *
  647. IF( INFO.EQ.0 ) THEN
  648. IF( .NOT.PREFAC ) THEN
  649. *
  650. * Reconstruct matrix from factors and compute
  651. * residual.
  652. *
  653. CALL CPOT01( UPLO, N, A, LDA, AFAC, LDA,
  654. $ RWORK( 2*NRHS+1 ), RESULT( 1 ) )
  655. K1 = 1
  656. ELSE
  657. K1 = 2
  658. END IF
  659. *
  660. * Compute residual of the computed solution.
  661. *
  662. CALL CLACPY( 'Full', N, NRHS, BSAV, LDA, WORK,
  663. $ LDA )
  664. CALL CPOT02( UPLO, N, NRHS, ASAV, LDA, X, LDA,
  665. $ WORK, LDA, RWORK( 2*NRHS+1 ),
  666. $ RESULT( 2 ) )
  667. *
  668. * Check solution from generated exact solution.
  669. *
  670. IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
  671. $ 'N' ) ) ) THEN
  672. CALL CGET04( N, NRHS, X, LDA, XACT, LDA,
  673. $ RCONDC, RESULT( 3 ) )
  674. ELSE
  675. CALL CGET04( N, NRHS, X, LDA, XACT, LDA,
  676. $ ROLDC, RESULT( 3 ) )
  677. END IF
  678. *
  679. * Check the error bounds from iterative
  680. * refinement.
  681. *
  682. CALL CPOT05( UPLO, N, NRHS, ASAV, LDA, B, LDA,
  683. $ X, LDA, XACT, LDA, RWORK,
  684. $ RWORK( NRHS+1 ), RESULT( 4 ) )
  685. ELSE
  686. K1 = 6
  687. END IF
  688. *
  689. * Compare RCOND from CPOSVXX with the computed value
  690. * in RCONDC.
  691. *
  692. RESULT( 6 ) = SGET06( RCOND, RCONDC )
  693. *
  694. * Print information about the tests that did not pass
  695. * the threshold.
  696. *
  697. DO 85 K = K1, 6
  698. IF( RESULT( K ).GE.THRESH ) THEN
  699. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  700. $ CALL ALADHD( NOUT, PATH )
  701. IF( PREFAC ) THEN
  702. WRITE( NOUT, FMT = 9997 )'CPOSVXX', FACT,
  703. $ UPLO, N, EQUED, IMAT, K, RESULT( K )
  704. ELSE
  705. WRITE( NOUT, FMT = 9998 )'CPOSVXX', FACT,
  706. $ UPLO, N, IMAT, K, RESULT( K )
  707. END IF
  708. NFAIL = NFAIL + 1
  709. END IF
  710. 85 CONTINUE
  711. NRUN = NRUN + 7 - K1
  712. 90 CONTINUE
  713. 100 CONTINUE
  714. 110 CONTINUE
  715. 120 CONTINUE
  716. 130 CONTINUE
  717. *
  718. * Print a summary of the results.
  719. *
  720. CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
  721. *
  722. * Test Error Bounds for CGESVXX
  723. CALL CEBCHVXX(THRESH, PATH)
  724. 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I1,
  725. $ ', test(', I1, ')=', G12.5 )
  726. 9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N=', I5,
  727. $ ', type ', I1, ', test(', I1, ')=', G12.5 )
  728. 9997 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N=', I5,
  729. $ ', EQUED=''', A1, ''', type ', I1, ', test(', I1, ') =',
  730. $ G12.5 )
  731. RETURN
  732. *
  733. * End of CDRVPO
  734. *
  735. END