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cdrvhex.f 24 kB

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  1. *> \brief \b CDRVHEX
  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 CDRVHE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
  12. * A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
  13. * 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 RWORK( * )
  24. * COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
  25. * $ WORK( * ), X( * ), XACT( * )
  26. * ..
  27. *
  28. *
  29. *> \par Purpose:
  30. * =============
  31. *>
  32. *> \verbatim
  33. *>
  34. *> CDRVHE tests the driver routines CHESV, -SVX, and -SVXX.
  35. *>
  36. *> Note that this file is used only when the XBLAS are available,
  37. *> otherwise cdrvhe.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] AINV
  102. *> \verbatim
  103. *> AINV 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] X
  112. *> \verbatim
  113. *> X is COMPLEX array, dimension (NMAX*NRHS)
  114. *> \endverbatim
  115. *>
  116. *> \param[out] XACT
  117. *> \verbatim
  118. *> XACT is COMPLEX array, dimension (NMAX*NRHS)
  119. *> \endverbatim
  120. *>
  121. *> \param[out] WORK
  122. *> \verbatim
  123. *> WORK is COMPLEX array, dimension
  124. *> (NMAX*max(2,NRHS))
  125. *> \endverbatim
  126. *>
  127. *> \param[out] RWORK
  128. *> \verbatim
  129. *> RWORK is REAL array, dimension (2*NMAX+2*NRHS)
  130. *> \endverbatim
  131. *>
  132. *> \param[out] IWORK
  133. *> \verbatim
  134. *> IWORK is INTEGER array, dimension (NMAX)
  135. *> \endverbatim
  136. *>
  137. *> \param[in] NOUT
  138. *> \verbatim
  139. *> NOUT is INTEGER
  140. *> The unit number for output.
  141. *> \endverbatim
  142. *
  143. * Authors:
  144. * ========
  145. *
  146. *> \author Univ. of Tennessee
  147. *> \author Univ. of California Berkeley
  148. *> \author Univ. of Colorado Denver
  149. *> \author NAG Ltd.
  150. *
  151. *> \ingroup complex_lin
  152. *
  153. * =====================================================================
  154. SUBROUTINE CDRVHE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
  155. $ A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
  156. $ NOUT )
  157. *
  158. * -- LAPACK test routine --
  159. * -- LAPACK is a software package provided by Univ. of Tennessee, --
  160. * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  161. *
  162. * .. Scalar Arguments ..
  163. LOGICAL TSTERR
  164. INTEGER NMAX, NN, NOUT, NRHS
  165. REAL THRESH
  166. * ..
  167. * .. Array Arguments ..
  168. LOGICAL DOTYPE( * )
  169. INTEGER IWORK( * ), NVAL( * )
  170. REAL RWORK( * )
  171. COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
  172. $ WORK( * ), X( * ), XACT( * )
  173. * ..
  174. *
  175. * =====================================================================
  176. *
  177. * .. Parameters ..
  178. REAL ONE, ZERO
  179. PARAMETER ( ONE = 1.0E+0, ZERO = 0.0E+0 )
  180. INTEGER NTYPES, NTESTS
  181. PARAMETER ( NTYPES = 10, NTESTS = 6 )
  182. INTEGER NFACT
  183. PARAMETER ( NFACT = 2 )
  184. * ..
  185. * .. Local Scalars ..
  186. LOGICAL ZEROT
  187. CHARACTER DIST, EQUED, FACT, TYPE, UPLO, XTYPE
  188. CHARACTER*3 PATH
  189. INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
  190. $ IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N,
  191. $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT,
  192. $ N_ERR_BNDS
  193. REAL AINVNM, ANORM, CNDNUM, RCOND, RCONDC,
  194. $ RPVGRW_SVXX
  195. * ..
  196. * .. Local Arrays ..
  197. CHARACTER FACTS( NFACT ), UPLOS( 2 )
  198. INTEGER ISEED( 4 ), ISEEDY( 4 )
  199. REAL RESULT( NTESTS ), BERR( NRHS ),
  200. $ ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
  201. * ..
  202. * .. External Functions ..
  203. REAL CLANHE, SGET06
  204. EXTERNAL CLANHE, SGET06
  205. * ..
  206. * .. External Subroutines ..
  207. EXTERNAL ALADHD, ALAERH, ALASVM, CERRVX, CGET04, CHESV,
  208. $ CHESVX, CHET01, CHETRF, CHETRI2, CLACPY,
  209. $ CLAIPD, CLARHS, CLASET, CLATB4, CLATMS, CPOT02,
  210. $ CPOT05, XLAENV, CHESVXX
  211. * ..
  212. * .. Scalars in Common ..
  213. LOGICAL LERR, OK
  214. CHARACTER*32 SRNAMT
  215. INTEGER INFOT, NUNIT
  216. * ..
  217. * .. Common blocks ..
  218. COMMON / INFOC / INFOT, NUNIT, OK, LERR
  219. COMMON / SRNAMC / SRNAMT
  220. * ..
  221. * .. Intrinsic Functions ..
  222. INTRINSIC CMPLX, MAX, MIN
  223. * ..
  224. * .. Data statements ..
  225. DATA ISEEDY / 1988, 1989, 1990, 1991 /
  226. DATA UPLOS / 'U', 'L' / , FACTS / 'F', 'N' /
  227. * ..
  228. * .. Executable Statements ..
  229. *
  230. * Initialize constants and the random number seed.
  231. *
  232. PATH( 1: 1 ) = 'C'
  233. PATH( 2: 3 ) = 'HE'
  234. NRUN = 0
  235. NFAIL = 0
  236. NERRS = 0
  237. DO 10 I = 1, 4
  238. ISEED( I ) = ISEEDY( I )
  239. 10 CONTINUE
  240. LWORK = MAX( 2*NMAX, NMAX*NRHS )
  241. *
  242. * Test the error exits
  243. *
  244. IF( TSTERR )
  245. $ CALL CERRVX( PATH, NOUT )
  246. INFOT = 0
  247. *
  248. * Set the block size and minimum block size for testing.
  249. *
  250. NB = 1
  251. NBMIN = 2
  252. CALL XLAENV( 1, NB )
  253. CALL XLAENV( 2, NBMIN )
  254. *
  255. * Do for each value of N in NVAL
  256. *
  257. DO 180 IN = 1, NN
  258. N = NVAL( IN )
  259. LDA = MAX( N, 1 )
  260. XTYPE = 'N'
  261. NIMAT = NTYPES
  262. IF( N.LE.0 )
  263. $ NIMAT = 1
  264. *
  265. DO 170 IMAT = 1, NIMAT
  266. *
  267. * Do the tests only if DOTYPE( IMAT ) is true.
  268. *
  269. IF( .NOT.DOTYPE( IMAT ) )
  270. $ GO TO 170
  271. *
  272. * Skip types 3, 4, 5, or 6 if the matrix size is too small.
  273. *
  274. ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
  275. IF( ZEROT .AND. N.LT.IMAT-2 )
  276. $ GO TO 170
  277. *
  278. * Do first for UPLO = 'U', then for UPLO = 'L'
  279. *
  280. DO 160 IUPLO = 1, 2
  281. UPLO = UPLOS( IUPLO )
  282. *
  283. * Set up parameters with CLATB4 and generate a test matrix
  284. * with CLATMS.
  285. *
  286. CALL CLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
  287. $ CNDNUM, DIST )
  288. *
  289. SRNAMT = 'CLATMS'
  290. CALL CLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
  291. $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
  292. $ INFO )
  293. *
  294. * Check error code from CLATMS.
  295. *
  296. IF( INFO.NE.0 ) THEN
  297. CALL ALAERH( PATH, 'CLATMS', INFO, 0, UPLO, N, N, -1,
  298. $ -1, -1, IMAT, NFAIL, NERRS, NOUT )
  299. GO TO 160
  300. END IF
  301. *
  302. * For types 3-6, zero one or more rows and columns of the
  303. * matrix to test that INFO is returned correctly.
  304. *
  305. IF( ZEROT ) THEN
  306. IF( IMAT.EQ.3 ) THEN
  307. IZERO = 1
  308. ELSE IF( IMAT.EQ.4 ) THEN
  309. IZERO = N
  310. ELSE
  311. IZERO = N / 2 + 1
  312. END IF
  313. *
  314. IF( IMAT.LT.6 ) THEN
  315. *
  316. * Set row and column IZERO to zero.
  317. *
  318. IF( IUPLO.EQ.1 ) THEN
  319. IOFF = ( IZERO-1 )*LDA
  320. DO 20 I = 1, IZERO - 1
  321. A( IOFF+I ) = ZERO
  322. 20 CONTINUE
  323. IOFF = IOFF + IZERO
  324. DO 30 I = IZERO, N
  325. A( IOFF ) = ZERO
  326. IOFF = IOFF + LDA
  327. 30 CONTINUE
  328. ELSE
  329. IOFF = IZERO
  330. DO 40 I = 1, IZERO - 1
  331. A( IOFF ) = ZERO
  332. IOFF = IOFF + LDA
  333. 40 CONTINUE
  334. IOFF = IOFF - IZERO
  335. DO 50 I = IZERO, N
  336. A( IOFF+I ) = ZERO
  337. 50 CONTINUE
  338. END IF
  339. ELSE
  340. IOFF = 0
  341. IF( IUPLO.EQ.1 ) THEN
  342. *
  343. * Set the first IZERO rows and columns to zero.
  344. *
  345. DO 70 J = 1, N
  346. I2 = MIN( J, IZERO )
  347. DO 60 I = 1, I2
  348. A( IOFF+I ) = ZERO
  349. 60 CONTINUE
  350. IOFF = IOFF + LDA
  351. 70 CONTINUE
  352. ELSE
  353. *
  354. * Set the last IZERO rows and columns to zero.
  355. *
  356. DO 90 J = 1, N
  357. I1 = MAX( J, IZERO )
  358. DO 80 I = I1, N
  359. A( IOFF+I ) = ZERO
  360. 80 CONTINUE
  361. IOFF = IOFF + LDA
  362. 90 CONTINUE
  363. END IF
  364. END IF
  365. ELSE
  366. IZERO = 0
  367. END IF
  368. *
  369. * Set the imaginary part of the diagonals.
  370. *
  371. CALL CLAIPD( N, A, LDA+1, 0 )
  372. *
  373. DO 150 IFACT = 1, NFACT
  374. *
  375. * Do first for FACT = 'F', then for other values.
  376. *
  377. FACT = FACTS( IFACT )
  378. *
  379. * Compute the condition number for comparison with
  380. * the value returned by CHESVX.
  381. *
  382. IF( ZEROT ) THEN
  383. IF( IFACT.EQ.1 )
  384. $ GO TO 150
  385. RCONDC = ZERO
  386. *
  387. ELSE IF( IFACT.EQ.1 ) THEN
  388. *
  389. * Compute the 1-norm of A.
  390. *
  391. ANORM = CLANHE( '1', UPLO, N, A, LDA, RWORK )
  392. *
  393. * Factor the matrix A.
  394. *
  395. CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
  396. CALL CHETRF( UPLO, N, AFAC, LDA, IWORK, WORK,
  397. $ LWORK, INFO )
  398. *
  399. * Compute inv(A) and take its norm.
  400. *
  401. CALL CLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
  402. LWORK = (N+NB+1)*(NB+3)
  403. CALL CHETRI2( UPLO, N, AINV, LDA, IWORK, WORK,
  404. $ LWORK, INFO )
  405. AINVNM = CLANHE( '1', UPLO, N, AINV, LDA, RWORK )
  406. *
  407. * Compute the 1-norm condition number of A.
  408. *
  409. IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
  410. RCONDC = ONE
  411. ELSE
  412. RCONDC = ( ONE / ANORM ) / AINVNM
  413. END IF
  414. END IF
  415. *
  416. * Form an exact solution and set the right hand side.
  417. *
  418. SRNAMT = 'CLARHS'
  419. CALL CLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
  420. $ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
  421. $ INFO )
  422. XTYPE = 'C'
  423. *
  424. * --- Test CHESV ---
  425. *
  426. IF( IFACT.EQ.2 ) THEN
  427. CALL CLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
  428. CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
  429. *
  430. * Factor the matrix and solve the system using CHESV.
  431. *
  432. SRNAMT = 'CHESV '
  433. CALL CHESV( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
  434. $ LDA, WORK, LWORK, INFO )
  435. *
  436. * Adjust the expected value of INFO to account for
  437. * pivoting.
  438. *
  439. K = IZERO
  440. IF( K.GT.0 ) THEN
  441. 100 CONTINUE
  442. IF( IWORK( K ).LT.0 ) THEN
  443. IF( IWORK( K ).NE.-K ) THEN
  444. K = -IWORK( K )
  445. GO TO 100
  446. END IF
  447. ELSE IF( IWORK( K ).NE.K ) THEN
  448. K = IWORK( K )
  449. GO TO 100
  450. END IF
  451. END IF
  452. *
  453. * Check error code from CHESV .
  454. *
  455. IF( INFO.NE.K ) THEN
  456. CALL ALAERH( PATH, 'CHESV ', INFO, K, UPLO, N,
  457. $ N, -1, -1, NRHS, IMAT, NFAIL,
  458. $ NERRS, NOUT )
  459. GO TO 120
  460. ELSE IF( INFO.NE.0 ) THEN
  461. GO TO 120
  462. END IF
  463. *
  464. * Reconstruct matrix from factors and compute
  465. * residual.
  466. *
  467. CALL CHET01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
  468. $ AINV, LDA, RWORK, RESULT( 1 ) )
  469. *
  470. * Compute residual of the computed solution.
  471. *
  472. CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
  473. CALL CPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
  474. $ LDA, RWORK, RESULT( 2 ) )
  475. *
  476. * Check solution from generated exact solution.
  477. *
  478. CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
  479. $ RESULT( 3 ) )
  480. NT = 3
  481. *
  482. * Print information about the tests that did not pass
  483. * the threshold.
  484. *
  485. DO 110 K = 1, NT
  486. IF( RESULT( K ).GE.THRESH ) THEN
  487. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  488. $ CALL ALADHD( NOUT, PATH )
  489. WRITE( NOUT, FMT = 9999 )'CHESV ', UPLO, N,
  490. $ IMAT, K, RESULT( K )
  491. NFAIL = NFAIL + 1
  492. END IF
  493. 110 CONTINUE
  494. NRUN = NRUN + NT
  495. 120 CONTINUE
  496. END IF
  497. *
  498. * --- Test CHESVX ---
  499. *
  500. IF( IFACT.EQ.2 )
  501. $ CALL CLASET( UPLO, N, N, CMPLX( ZERO ),
  502. $ CMPLX( ZERO ), AFAC, LDA )
  503. CALL CLASET( 'Full', N, NRHS, CMPLX( ZERO ),
  504. $ CMPLX( ZERO ), X, LDA )
  505. *
  506. * Solve the system and compute the condition number and
  507. * error bounds using CHESVX.
  508. *
  509. SRNAMT = 'CHESVX'
  510. CALL CHESVX( FACT, UPLO, N, NRHS, A, LDA, AFAC, LDA,
  511. $ IWORK, B, LDA, X, LDA, RCOND, RWORK,
  512. $ RWORK( NRHS+1 ), WORK, LWORK,
  513. $ RWORK( 2*NRHS+1 ), INFO )
  514. *
  515. * Adjust the expected value of INFO to account for
  516. * pivoting.
  517. *
  518. K = IZERO
  519. IF( K.GT.0 ) THEN
  520. 130 CONTINUE
  521. IF( IWORK( K ).LT.0 ) THEN
  522. IF( IWORK( K ).NE.-K ) THEN
  523. K = -IWORK( K )
  524. GO TO 130
  525. END IF
  526. ELSE IF( IWORK( K ).NE.K ) THEN
  527. K = IWORK( K )
  528. GO TO 130
  529. END IF
  530. END IF
  531. *
  532. * Check the error code from CHESVX.
  533. *
  534. IF( INFO.NE.K ) THEN
  535. CALL ALAERH( PATH, 'CHESVX', INFO, K, FACT // UPLO,
  536. $ N, N, -1, -1, NRHS, IMAT, NFAIL,
  537. $ NERRS, NOUT )
  538. GO TO 150
  539. END IF
  540. *
  541. IF( INFO.EQ.0 ) THEN
  542. IF( IFACT.GE.2 ) THEN
  543. *
  544. * Reconstruct matrix from factors and compute
  545. * residual.
  546. *
  547. CALL CHET01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
  548. $ AINV, LDA, RWORK( 2*NRHS+1 ),
  549. $ RESULT( 1 ) )
  550. K1 = 1
  551. ELSE
  552. K1 = 2
  553. END IF
  554. *
  555. * Compute residual of the computed solution.
  556. *
  557. CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
  558. CALL CPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
  559. $ LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
  560. *
  561. * Check solution from generated exact solution.
  562. *
  563. CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
  564. $ RESULT( 3 ) )
  565. *
  566. * Check the error bounds from iterative refinement.
  567. *
  568. CALL CPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
  569. $ XACT, LDA, RWORK, RWORK( NRHS+1 ),
  570. $ RESULT( 4 ) )
  571. ELSE
  572. K1 = 6
  573. END IF
  574. *
  575. * Compare RCOND from CHESVX with the computed value
  576. * in RCONDC.
  577. *
  578. RESULT( 6 ) = SGET06( RCOND, RCONDC )
  579. *
  580. * Print information about the tests that did not pass
  581. * the threshold.
  582. *
  583. DO 140 K = K1, 6
  584. IF( RESULT( K ).GE.THRESH ) THEN
  585. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  586. $ CALL ALADHD( NOUT, PATH )
  587. WRITE( NOUT, FMT = 9998 )'CHESVX', FACT, UPLO,
  588. $ N, IMAT, K, RESULT( K )
  589. NFAIL = NFAIL + 1
  590. END IF
  591. 140 CONTINUE
  592. NRUN = NRUN + 7 - K1
  593. *
  594. * --- Test CHESVXX ---
  595. *
  596. * Restore the matrices A and B.
  597. *
  598. IF( IFACT.EQ.2 )
  599. $ CALL CLASET( UPLO, N, N, CMPLX( ZERO ),
  600. $ CMPLX( ZERO ), AFAC, LDA )
  601. CALL CLASET( 'Full', N, NRHS, CMPLX( ZERO ),
  602. $ CMPLX( ZERO ), X, LDA )
  603. *
  604. * Solve the system and compute the condition number
  605. * and error bounds using CHESVXX.
  606. *
  607. SRNAMT = 'CHESVXX'
  608. N_ERR_BNDS = 3
  609. EQUED = 'N'
  610. CALL CHESVXX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
  611. $ LDA, IWORK, EQUED, WORK( N+1 ), B, LDA, X,
  612. $ LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
  613. $ ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
  614. $ RWORK(2*NRHS+1), INFO )
  615. *
  616. * Adjust the expected value of INFO to account for
  617. * pivoting.
  618. *
  619. K = IZERO
  620. IF( K.GT.0 ) THEN
  621. 135 CONTINUE
  622. IF( IWORK( K ).LT.0 ) THEN
  623. IF( IWORK( K ).NE.-K ) THEN
  624. K = -IWORK( K )
  625. GO TO 135
  626. END IF
  627. ELSE IF( IWORK( K ).NE.K ) THEN
  628. K = IWORK( K )
  629. GO TO 135
  630. END IF
  631. END IF
  632. *
  633. * Check the error code from CHESVXX.
  634. *
  635. IF( INFO.NE.K .AND. INFO.LE.N ) THEN
  636. CALL ALAERH( PATH, 'CHESVXX', INFO, K,
  637. $ FACT // UPLO, N, N, -1, -1, NRHS, IMAT, NFAIL,
  638. $ NERRS, NOUT )
  639. GO TO 150
  640. END IF
  641. *
  642. IF( INFO.EQ.0 ) THEN
  643. IF( IFACT.GE.2 ) THEN
  644. *
  645. * Reconstruct matrix from factors and compute
  646. * residual.
  647. *
  648. CALL CHET01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
  649. $ AINV, LDA, RWORK(2*NRHS+1),
  650. $ RESULT( 1 ) )
  651. K1 = 1
  652. ELSE
  653. K1 = 2
  654. END IF
  655. *
  656. * Compute residual of the computed solution.
  657. *
  658. CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
  659. CALL CPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
  660. $ LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
  661. RESULT( 2 ) = 0.0
  662. *
  663. * Check solution from generated exact solution.
  664. *
  665. CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
  666. $ RESULT( 3 ) )
  667. *
  668. * Check the error bounds from iterative refinement.
  669. *
  670. CALL CPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
  671. $ XACT, LDA, RWORK, RWORK( NRHS+1 ),
  672. $ RESULT( 4 ) )
  673. ELSE
  674. K1 = 6
  675. END IF
  676. *
  677. * Compare RCOND from CHESVXX with the computed value
  678. * in RCONDC.
  679. *
  680. RESULT( 6 ) = SGET06( RCOND, RCONDC )
  681. *
  682. * Print information about the tests that did not pass
  683. * the threshold.
  684. *
  685. DO 85 K = K1, 6
  686. IF( RESULT( K ).GE.THRESH ) THEN
  687. IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
  688. $ CALL ALADHD( NOUT, PATH )
  689. WRITE( NOUT, FMT = 9998 )'CHESVXX',
  690. $ FACT, UPLO, N, IMAT, K,
  691. $ RESULT( K )
  692. NFAIL = NFAIL + 1
  693. END IF
  694. 85 CONTINUE
  695. NRUN = NRUN + 7 - K1
  696. *
  697. 150 CONTINUE
  698. *
  699. 160 CONTINUE
  700. 170 CONTINUE
  701. 180 CONTINUE
  702. *
  703. * Print a summary of the results.
  704. *
  705. CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
  706. *
  707. * Test Error Bounds from CHESVXX
  708. CALL CEBCHVXX(THRESH, PATH)
  709. 9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2,
  710. $ ', test ', I2, ', ratio =', G12.5 )
  711. 9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N =', I5,
  712. $ ', type ', I2, ', test ', I2, ', ratio =', G12.5 )
  713. RETURN
  714. *
  715. * End of CDRVHEX
  716. *
  717. END