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c_zblat2.f 105 kB

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  1. PROGRAM ZBLAT2
  2. *
  3. * Test program for the COMPLEX*16 Level 2 Blas.
  4. *
  5. * The program must be driven by a short data file. The first 17 records
  6. * of the file are read using list-directed input, the last 17 records
  7. * are read using the format ( A12, L2 ). An annotated example of a data
  8. * file can be obtained by deleting the first 3 characters from the
  9. * following 34 lines:
  10. * 'CBLAT2.SNAP' NAME OF SNAPSHOT OUTPUT FILE
  11. * -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0)
  12. * F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD.
  13. * F LOGICAL FLAG, T TO STOP ON FAILURES.
  14. * T LOGICAL FLAG, T TO TEST ERROR EXITS.
  15. * 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH
  16. * 16.0 THRESHOLD VALUE OF TEST RATIO
  17. * 6 NUMBER OF VALUES OF N
  18. * 0 1 2 3 5 9 VALUES OF N
  19. * 4 NUMBER OF VALUES OF K
  20. * 0 1 2 4 VALUES OF K
  21. * 4 NUMBER OF VALUES OF INCX AND INCY
  22. * 1 2 -1 -2 VALUES OF INCX AND INCY
  23. * 3 NUMBER OF VALUES OF ALPHA
  24. * (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA
  25. * 3 NUMBER OF VALUES OF BETA
  26. * (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA
  27. * cblas_zgemv T PUT F FOR NO TEST. SAME COLUMNS.
  28. * cblas_zgbmv T PUT F FOR NO TEST. SAME COLUMNS.
  29. * cblas_zhemv T PUT F FOR NO TEST. SAME COLUMNS.
  30. * cblas_zhbmv T PUT F FOR NO TEST. SAME COLUMNS.
  31. * cblas_zhpmv T PUT F FOR NO TEST. SAME COLUMNS.
  32. * cblas_ztrmv T PUT F FOR NO TEST. SAME COLUMNS.
  33. * cblas_ztbmv T PUT F FOR NO TEST. SAME COLUMNS.
  34. * cblas_ztpmv T PUT F FOR NO TEST. SAME COLUMNS.
  35. * cblas_ztrsv T PUT F FOR NO TEST. SAME COLUMNS.
  36. * cblas_ztbsv T PUT F FOR NO TEST. SAME COLUMNS.
  37. * cblas_ztpsv T PUT F FOR NO TEST. SAME COLUMNS.
  38. * cblas_zgerc T PUT F FOR NO TEST. SAME COLUMNS.
  39. * cblas_zgeru T PUT F FOR NO TEST. SAME COLUMNS.
  40. * cblas_zher T PUT F FOR NO TEST. SAME COLUMNS.
  41. * cblas_zhpr T PUT F FOR NO TEST. SAME COLUMNS.
  42. * cblas_zher2 T PUT F FOR NO TEST. SAME COLUMNS.
  43. * cblas_zhpr2 T PUT F FOR NO TEST. SAME COLUMNS.
  44. *
  45. * See:
  46. *
  47. * Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
  48. * An extended set of Fortran Basic Linear Algebra Subprograms.
  49. *
  50. * Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
  51. * and Computer Science Division, Argonne National Laboratory,
  52. * 9700 South Cass Avenue, Argonne, Illinois 60439, US.
  53. *
  54. * Or
  55. *
  56. * NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
  57. * Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
  58. * OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
  59. * Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
  60. *
  61. *
  62. * -- Written on 10-August-1987.
  63. * Richard Hanson, Sandia National Labs.
  64. * Jeremy Du Croz, NAG Central Office.
  65. *
  66. * .. Parameters ..
  67. INTEGER NIN, NOUT
  68. PARAMETER ( NIN = 5, NOUT = 6 )
  69. INTEGER NSUBS
  70. PARAMETER ( NSUBS = 17 )
  71. COMPLEX*16 ZERO, ONE
  72. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  73. $ ONE = ( 1.0D0, 0.0D0 ) )
  74. DOUBLE PRECISION RZERO, RHALF, RONE
  75. PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 1.0D0 )
  76. INTEGER NMAX, INCMAX
  77. PARAMETER ( NMAX = 65, INCMAX = 2 )
  78. INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
  79. PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
  80. $ NALMAX = 7, NBEMAX = 7 )
  81. * .. Local Scalars ..
  82. DOUBLE PRECISION EPS, ERR, THRESH
  83. INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
  84. $ NTRA, LAYOUT
  85. LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
  86. $ TSTERR, CORDER, RORDER
  87. CHARACTER*1 TRANS
  88. CHARACTER*12 SNAMET
  89. CHARACTER*32 SNAPS
  90. * .. Local Arrays ..
  91. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
  92. $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
  93. $ X( NMAX ), XS( NMAX*INCMAX ),
  94. $ XX( NMAX*INCMAX ), Y( NMAX ),
  95. $ YS( NMAX*INCMAX ), YT( NMAX ),
  96. $ YY( NMAX*INCMAX ), Z( 2*NMAX )
  97. DOUBLE PRECISION G( NMAX )
  98. INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
  99. LOGICAL LTEST( NSUBS )
  100. CHARACTER*12 SNAMES( NSUBS )
  101. * .. External Functions ..
  102. DOUBLE PRECISION DDIFF
  103. LOGICAL LZE
  104. EXTERNAL DDIFF, LZE
  105. * .. External Subroutines ..
  106. EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHK6,
  107. $ CZ2CHKE, ZMVCH
  108. * .. Intrinsic Functions ..
  109. INTRINSIC ABS, MAX, MIN
  110. * .. Scalars in Common ..
  111. INTEGER INFOT, NOUTC
  112. LOGICAL OK
  113. CHARACTER*12 SRNAMT
  114. * .. Common blocks ..
  115. COMMON /INFOC/INFOT, NOUTC, OK
  116. COMMON /SRNAMC/SRNAMT
  117. * .. Data statements ..
  118. DATA SNAMES/'cblas_zgemv ', 'cblas_zgbmv ',
  119. $ 'cblas_zhemv ','cblas_zhbmv ','cblas_zhpmv ',
  120. $ 'cblas_ztrmv ','cblas_ztbmv ','cblas_ztpmv ',
  121. $ 'cblas_ztrsv ','cblas_ztbsv ','cblas_ztpsv ',
  122. $ 'cblas_zgerc ','cblas_zgeru ','cblas_zher ',
  123. $ 'cblas_zhpr ','cblas_zher2 ','cblas_zhpr2 '/
  124. * .. Executable Statements ..
  125. *
  126. NOUTC = NOUT
  127. *
  128. * Read name and unit number for summary output file and open file.
  129. *
  130. READ( NIN, FMT = * )SNAPS
  131. READ( NIN, FMT = * )NTRA
  132. TRACE = NTRA.GE.0
  133. IF( TRACE )THEN
  134. OPEN( NTRA, FILE = SNAPS )
  135. END IF
  136. * Read the flag that directs rewinding of the snapshot file.
  137. READ( NIN, FMT = * )REWI
  138. REWI = REWI.AND.TRACE
  139. * Read the flag that directs stopping on any failure.
  140. READ( NIN, FMT = * )SFATAL
  141. * Read the flag that indicates whether error exits are to be tested.
  142. READ( NIN, FMT = * )TSTERR
  143. * Read the flag that indicates whether row-major data layout to be tested.
  144. READ( NIN, FMT = * )LAYOUT
  145. * Read the threshold value of the test ratio
  146. READ( NIN, FMT = * )THRESH
  147. *
  148. * Read and check the parameter values for the tests.
  149. *
  150. * Values of N
  151. READ( NIN, FMT = * )NIDIM
  152. IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
  153. WRITE( NOUT, FMT = 9997 )'N', NIDMAX
  154. GO TO 230
  155. END IF
  156. READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
  157. DO 10 I = 1, NIDIM
  158. IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
  159. WRITE( NOUT, FMT = 9996 )NMAX
  160. GO TO 230
  161. END IF
  162. 10 CONTINUE
  163. * Values of K
  164. READ( NIN, FMT = * )NKB
  165. IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
  166. WRITE( NOUT, FMT = 9997 )'K', NKBMAX
  167. GO TO 230
  168. END IF
  169. READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
  170. DO 20 I = 1, NKB
  171. IF( KB( I ).LT.0 )THEN
  172. WRITE( NOUT, FMT = 9995 )
  173. GO TO 230
  174. END IF
  175. 20 CONTINUE
  176. * Values of INCX and INCY
  177. READ( NIN, FMT = * )NINC
  178. IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN
  179. WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX
  180. GO TO 230
  181. END IF
  182. READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
  183. DO 30 I = 1, NINC
  184. IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
  185. WRITE( NOUT, FMT = 9994 )INCMAX
  186. GO TO 230
  187. END IF
  188. 30 CONTINUE
  189. * Values of ALPHA
  190. READ( NIN, FMT = * )NALF
  191. IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
  192. WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
  193. GO TO 230
  194. END IF
  195. READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
  196. * Values of BETA
  197. READ( NIN, FMT = * )NBET
  198. IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
  199. WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
  200. GO TO 230
  201. END IF
  202. READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
  203. *
  204. * Report values of parameters.
  205. *
  206. WRITE( NOUT, FMT = 9993 )
  207. WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
  208. WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB )
  209. WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC )
  210. WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF )
  211. WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET )
  212. IF( .NOT.TSTERR )THEN
  213. WRITE( NOUT, FMT = * )
  214. WRITE( NOUT, FMT = 9980 )
  215. END IF
  216. WRITE( NOUT, FMT = * )
  217. WRITE( NOUT, FMT = 9999 )THRESH
  218. WRITE( NOUT, FMT = * )
  219. RORDER = .FALSE.
  220. CORDER = .FALSE.
  221. IF (LAYOUT.EQ.2) THEN
  222. RORDER = .TRUE.
  223. CORDER = .TRUE.
  224. WRITE( *, FMT = 10002 )
  225. ELSE IF (LAYOUT.EQ.1) THEN
  226. RORDER = .TRUE.
  227. WRITE( *, FMT = 10001 )
  228. ELSE IF (LAYOUT.EQ.0) THEN
  229. CORDER = .TRUE.
  230. WRITE( *, FMT = 10000 )
  231. END IF
  232. WRITE( *, FMT = * )
  233. *
  234. * Read names of subroutines and flags which indicate
  235. * whether they are to be tested.
  236. *
  237. DO 40 I = 1, NSUBS
  238. LTEST( I ) = .FALSE.
  239. 40 CONTINUE
  240. 50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT
  241. DO 60 I = 1, NSUBS
  242. IF( SNAMET.EQ.SNAMES( I ) )
  243. $ GO TO 70
  244. 60 CONTINUE
  245. WRITE( NOUT, FMT = 9986 )SNAMET
  246. STOP
  247. 70 LTEST( I ) = LTESTT
  248. GO TO 50
  249. *
  250. 80 CONTINUE
  251. CLOSE ( NIN )
  252. *
  253. * Compute EPS (the machine precision).
  254. *
  255. EPS = RONE
  256. 90 CONTINUE
  257. IF( DDIFF( RONE + EPS, RONE ).EQ.RZERO )
  258. $ GO TO 100
  259. EPS = RHALF*EPS
  260. GO TO 90
  261. 100 CONTINUE
  262. EPS = EPS + EPS
  263. WRITE( NOUT, FMT = 9998 )EPS
  264. *
  265. * Check the reliability of ZMVCH using exact data.
  266. *
  267. N = MIN( 32, NMAX )
  268. DO 120 J = 1, N
  269. DO 110 I = 1, N
  270. A( I, J ) = MAX( I - J + 1, 0 )
  271. 110 CONTINUE
  272. X( J ) = J
  273. Y( J ) = ZERO
  274. 120 CONTINUE
  275. DO 130 J = 1, N
  276. YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
  277. 130 CONTINUE
  278. * YY holds the exact result. On exit from CMVCH YT holds
  279. * the result computed by CMVCH.
  280. TRANS = 'N'
  281. CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
  282. $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
  283. SAME = LZE( YY, YT, N )
  284. IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
  285. WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
  286. STOP
  287. END IF
  288. TRANS = 'T'
  289. CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
  290. $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
  291. SAME = LZE( YY, YT, N )
  292. IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
  293. WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
  294. STOP
  295. END IF
  296. *
  297. * Test each subroutine in turn.
  298. *
  299. DO 210 ISNUM = 1, NSUBS
  300. WRITE( NOUT, FMT = * )
  301. IF( .NOT.LTEST( ISNUM ) )THEN
  302. * Subprogram is not to be tested.
  303. WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM )
  304. ELSE
  305. SRNAMT = SNAMES( ISNUM )
  306. * Test error exits.
  307. IF( TSTERR )THEN
  308. CALL CZ2CHKE( SNAMES( ISNUM ) )
  309. WRITE( NOUT, FMT = * )
  310. END IF
  311. * Test computations.
  312. INFOT = 0
  313. OK = .TRUE.
  314. FATAL = .FALSE.
  315. GO TO ( 140, 140, 150, 150, 150, 160, 160,
  316. $ 160, 160, 160, 160, 170, 170, 180,
  317. $ 180, 190, 190 )ISNUM
  318. * Test ZGEMV, 01, and ZGBMV, 02.
  319. 140 IF (CORDER) THEN
  320. CALL ZCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  321. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
  322. $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
  323. $ X, XX, XS, Y, YY, YS, YT, G, 0 )
  324. END IF
  325. IF (RORDER) THEN
  326. CALL ZCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  327. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
  328. $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
  329. $ X, XX, XS, Y, YY, YS, YT, G, 1 )
  330. END IF
  331. GO TO 200
  332. * Test ZHEMV, 03, ZHBMV, 04, and ZHPMV, 05.
  333. 150 IF (CORDER) THEN
  334. CALL ZCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  335. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
  336. $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
  337. $ X, XX, XS, Y, YY, YS, YT, G, 0 )
  338. END IF
  339. IF (RORDER) THEN
  340. CALL ZCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  341. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
  342. $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
  343. $ X, XX, XS, Y, YY, YS, YT, G, 1 )
  344. END IF
  345. GO TO 200
  346. * Test ZTRMV, 06, ZTBMV, 07, ZTPMV, 08,
  347. * ZTRSV, 09, ZTBSV, 10, and ZTPSV, 11.
  348. 160 IF (CORDER) THEN
  349. CALL ZCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  350. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
  351. $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
  352. $ 0 )
  353. END IF
  354. IF (RORDER) THEN
  355. CALL ZCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  356. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
  357. $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
  358. $ 1 )
  359. END IF
  360. GO TO 200
  361. * Test ZGERC, 12, ZGERU, 13.
  362. 170 IF (CORDER) THEN
  363. CALL ZCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  364. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  365. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  366. $ YT, G, Z, 0 )
  367. END IF
  368. IF (RORDER) THEN
  369. CALL ZCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  370. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  371. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  372. $ YT, G, Z, 1 )
  373. END IF
  374. GO TO 200
  375. * Test ZHER, 14, and ZHPR, 15.
  376. 180 IF (CORDER) THEN
  377. CALL ZCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  378. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  379. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  380. $ YT, G, Z, 0 )
  381. END IF
  382. IF (RORDER) THEN
  383. CALL ZCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  384. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  385. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  386. $ YT, G, Z, 1 )
  387. END IF
  388. GO TO 200
  389. * Test ZHER2, 16, and ZHPR2, 17.
  390. 190 IF (CORDER) THEN
  391. CALL ZCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  392. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  393. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  394. $ YT, G, Z, 0 )
  395. END IF
  396. IF (RORDER) THEN
  397. CALL ZCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  398. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  399. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  400. $ YT, G, Z, 1 )
  401. END IF
  402. *
  403. 200 IF( FATAL.AND.SFATAL )
  404. $ GO TO 220
  405. END IF
  406. 210 CONTINUE
  407. WRITE( NOUT, FMT = 9982 )
  408. GO TO 240
  409. *
  410. 220 CONTINUE
  411. WRITE( NOUT, FMT = 9981 )
  412. GO TO 240
  413. *
  414. 230 CONTINUE
  415. WRITE( NOUT, FMT = 9987 )
  416. *
  417. 240 CONTINUE
  418. IF( TRACE )
  419. $ CLOSE ( NTRA )
  420. CLOSE ( NOUT )
  421. STOP
  422. *
  423. 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
  424. 10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
  425. 10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
  426. 9999 FORMAT(' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
  427. $ 'S THAN', F8.2 )
  428. 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
  429. 9997 FORMAT(' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
  430. $ 'THAN ', I2 )
  431. 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
  432. 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' )
  433. 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
  434. $ I2 )
  435. 9993 FORMAT(' TESTS OF THE COMPLEX*16 LEVEL 2 BLAS', //' THE F',
  436. $ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
  437. 9992 FORMAT( ' FOR N ', 9I6 )
  438. 9991 FORMAT( ' FOR K ', 7I6 )
  439. 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 )
  440. 9989 FORMAT( ' FOR ALPHA ',
  441. $ 7('(', F4.1, ',', F4.1, ') ', : ) )
  442. 9988 FORMAT( ' FOR BETA ',
  443. $ 7('(', F4.1, ',', F4.1, ') ', : ) )
  444. 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
  445. $ /' ******* TESTS ABANDONED *******' )
  446. 9986 FORMAT(' SUBPROGRAM NAME ',A12, ' NOT RECOGNIZED', /' ******* T',
  447. $ 'ESTS ABANDONED *******' )
  448. 9985 FORMAT(' ERROR IN CMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
  449. $ 'ATED WRONGLY.', /' CMVCH WAS CALLED WITH TRANS = ', A1,
  450. $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', /
  451. $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.'
  452. $ , /' ******* TESTS ABANDONED *******' )
  453. 9984 FORMAT( A12, L2 )
  454. 9983 FORMAT( 1X,A12, ' WAS NOT TESTED' )
  455. 9982 FORMAT( /' END OF TESTS' )
  456. 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
  457. 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
  458. *
  459. * End of ZBLAT2.
  460. *
  461. END
  462. SUBROUTINE ZCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  463. $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
  464. $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
  465. $ XS, Y, YY, YS, YT, G, IORDER )
  466. *
  467. * Tests CGEMV and CGBMV.
  468. *
  469. * Auxiliary routine for test program for Level 2 Blas.
  470. *
  471. * -- Written on 10-August-1987.
  472. * Richard Hanson, Sandia National Labs.
  473. * Jeremy Du Croz, NAG Central Office.
  474. *
  475. * .. Parameters ..
  476. COMPLEX*16 ZERO, HALF
  477. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  478. $ HALF = ( 0.5D0, 0.0D0 ) )
  479. DOUBLE PRECISION RZERO
  480. PARAMETER ( RZERO = 0.0D0 )
  481. * .. Scalar Arguments ..
  482. DOUBLE PRECISION EPS, THRESH
  483. INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
  484. $ NOUT, NTRA, IORDER
  485. LOGICAL FATAL, REWI, TRACE
  486. CHARACTER*12 SNAME
  487. * .. Array Arguments ..
  488. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  489. $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
  490. $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
  491. $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
  492. $ YY( NMAX*INCMAX )
  493. DOUBLE PRECISION G( NMAX )
  494. INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
  495. * .. Local Scalars ..
  496. COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
  497. DOUBLE PRECISION ERR, ERRMAX
  498. INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
  499. $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
  500. $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
  501. $ NL, NS
  502. LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
  503. CHARACTER*1 TRANS, TRANSS
  504. CHARACTER*14 CTRANS
  505. CHARACTER*3 ICH
  506. * .. Local Arrays ..
  507. LOGICAL ISAME( 13 )
  508. * .. External Functions ..
  509. LOGICAL LZE, LZERES
  510. EXTERNAL LZE, LZERES
  511. * .. External Subroutines ..
  512. EXTERNAL CZGBMV, CZGEMV, ZMAKE, ZMVCH
  513. * .. Intrinsic Functions ..
  514. INTRINSIC ABS, MAX, MIN
  515. * .. Scalars in Common ..
  516. INTEGER INFOT, NOUTC
  517. LOGICAL OK
  518. * .. Common blocks ..
  519. COMMON /INFOC/INFOT, NOUTC, OK
  520. * .. Data statements ..
  521. DATA ICH/'NTC'/
  522. * .. Executable Statements ..
  523. FULL = SNAME( 9: 9 ).EQ.'e'
  524. BANDED = SNAME( 9: 9 ).EQ.'b'
  525. * Define the number of arguments.
  526. IF( FULL )THEN
  527. NARGS = 11
  528. ELSE IF( BANDED )THEN
  529. NARGS = 13
  530. END IF
  531. *
  532. NC = 0
  533. RESET = .TRUE.
  534. ERRMAX = RZERO
  535. *
  536. DO 120 IN = 1, NIDIM
  537. N = IDIM( IN )
  538. ND = N/2 + 1
  539. *
  540. DO 110 IM = 1, 2
  541. IF( IM.EQ.1 )
  542. $ M = MAX( N - ND, 0 )
  543. IF( IM.EQ.2 )
  544. $ M = MIN( N + ND, NMAX )
  545. *
  546. IF( BANDED )THEN
  547. NK = NKB
  548. ELSE
  549. NK = 1
  550. END IF
  551. DO 100 IKU = 1, NK
  552. IF( BANDED )THEN
  553. KU = KB( IKU )
  554. KL = MAX( KU - 1, 0 )
  555. ELSE
  556. KU = N - 1
  557. KL = M - 1
  558. END IF
  559. * Set LDA to 1 more than minimum value if room.
  560. IF( BANDED )THEN
  561. LDA = KL + KU + 1
  562. ELSE
  563. LDA = M
  564. END IF
  565. IF( LDA.LT.NMAX )
  566. $ LDA = LDA + 1
  567. * Skip tests if not enough room.
  568. IF( LDA.GT.NMAX )
  569. $ GO TO 100
  570. LAA = LDA*N
  571. NULL = N.LE.0.OR.M.LE.0
  572. *
  573. * Generate the matrix A.
  574. *
  575. TRANSL = ZERO
  576. CALL ZMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
  577. $ LDA, KL, KU, RESET, TRANSL )
  578. *
  579. DO 90 IC = 1, 3
  580. TRANS = ICH( IC: IC )
  581. IF (TRANS.EQ.'N')THEN
  582. CTRANS = ' CblasNoTrans'
  583. ELSE IF (TRANS.EQ.'T')THEN
  584. CTRANS = ' CblasTrans'
  585. ELSE
  586. CTRANS = 'CblasConjTrans'
  587. END IF
  588. TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
  589. *
  590. IF( TRAN )THEN
  591. ML = N
  592. NL = M
  593. ELSE
  594. ML = M
  595. NL = N
  596. END IF
  597. *
  598. DO 80 IX = 1, NINC
  599. INCX = INC( IX )
  600. LX = ABS( INCX )*NL
  601. *
  602. * Generate the vector X.
  603. *
  604. TRANSL = HALF
  605. CALL ZMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
  606. $ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
  607. IF( NL.GT.1 )THEN
  608. X( NL/2 ) = ZERO
  609. XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
  610. END IF
  611. *
  612. DO 70 IY = 1, NINC
  613. INCY = INC( IY )
  614. LY = ABS( INCY )*ML
  615. *
  616. DO 60 IA = 1, NALF
  617. ALPHA = ALF( IA )
  618. *
  619. DO 50 IB = 1, NBET
  620. BETA = BET( IB )
  621. *
  622. * Generate the vector Y.
  623. *
  624. TRANSL = ZERO
  625. CALL ZMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
  626. $ YY, ABS( INCY ), 0, ML - 1,
  627. $ RESET, TRANSL )
  628. *
  629. NC = NC + 1
  630. *
  631. * Save every datum before calling the
  632. * subroutine.
  633. *
  634. TRANSS = TRANS
  635. MS = M
  636. NS = N
  637. KLS = KL
  638. KUS = KU
  639. ALS = ALPHA
  640. DO 10 I = 1, LAA
  641. AS( I ) = AA( I )
  642. 10 CONTINUE
  643. LDAS = LDA
  644. DO 20 I = 1, LX
  645. XS( I ) = XX( I )
  646. 20 CONTINUE
  647. INCXS = INCX
  648. BLS = BETA
  649. DO 30 I = 1, LY
  650. YS( I ) = YY( I )
  651. 30 CONTINUE
  652. INCYS = INCY
  653. *
  654. * Call the subroutine.
  655. *
  656. IF( FULL )THEN
  657. IF( TRACE )
  658. $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
  659. $ CTRANS, M, N, ALPHA, LDA, INCX, BETA,
  660. $ INCY
  661. IF( REWI )
  662. $ REWIND NTRA
  663. CALL CZGEMV( IORDER, TRANS, M, N,
  664. $ ALPHA, AA, LDA, XX, INCX,
  665. $ BETA, YY, INCY )
  666. ELSE IF( BANDED )THEN
  667. IF( TRACE )
  668. $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
  669. $ CTRANS, M, N, KL, KU, ALPHA, LDA,
  670. $ INCX, BETA, INCY
  671. IF( REWI )
  672. $ REWIND NTRA
  673. CALL CZGBMV( IORDER, TRANS, M, N, KL,
  674. $ KU, ALPHA, AA, LDA, XX,
  675. $ INCX, BETA, YY, INCY )
  676. END IF
  677. *
  678. * Check if error-exit was taken incorrectly.
  679. *
  680. IF( .NOT.OK )THEN
  681. WRITE( NOUT, FMT = 9993 )
  682. FATAL = .TRUE.
  683. GO TO 130
  684. END IF
  685. *
  686. * See what data changed inside subroutines.
  687. *
  688. * IF(TRANS .NE. 'C' .OR. (INCX .GT. 0 .AND. INCY .GT. 0)) THEN
  689. ISAME( 1 ) = TRANS.EQ.TRANSS
  690. ISAME( 2 ) = MS.EQ.M
  691. ISAME( 3 ) = NS.EQ.N
  692. IF( FULL )THEN
  693. ISAME( 4 ) = ALS.EQ.ALPHA
  694. ISAME( 5 ) = LZE( AS, AA, LAA )
  695. ISAME( 6 ) = LDAS.EQ.LDA
  696. ISAME( 7 ) = LZE( XS, XX, LX )
  697. ISAME( 8 ) = INCXS.EQ.INCX
  698. ISAME( 9 ) = BLS.EQ.BETA
  699. IF( NULL )THEN
  700. ISAME( 10 ) = LZE( YS, YY, LY )
  701. ELSE
  702. ISAME( 10 ) = LZERES( 'ge', ' ', 1,
  703. $ ML, YS, YY,
  704. $ ABS( INCY ) )
  705. END IF
  706. ISAME( 11 ) = INCYS.EQ.INCY
  707. ELSE IF( BANDED )THEN
  708. ISAME( 4 ) = KLS.EQ.KL
  709. ISAME( 5 ) = KUS.EQ.KU
  710. ISAME( 6 ) = ALS.EQ.ALPHA
  711. ISAME( 7 ) = LZE( AS, AA, LAA )
  712. ISAME( 8 ) = LDAS.EQ.LDA
  713. ISAME( 9 ) = LZE( XS, XX, LX )
  714. ISAME( 10 ) = INCXS.EQ.INCX
  715. ISAME( 11 ) = BLS.EQ.BETA
  716. IF( NULL )THEN
  717. ISAME( 12 ) = LZE( YS, YY, LY )
  718. ELSE
  719. ISAME( 12 ) = LZERES( 'ge', ' ', 1,
  720. $ ML, YS, YY,
  721. $ ABS( INCY ) )
  722. END IF
  723. ISAME( 13 ) = INCYS.EQ.INCY
  724. END IF
  725. *
  726. * If data was incorrectly changed, report
  727. * and return.
  728. *
  729. SAME = .TRUE.
  730. DO 40 I = 1, NARGS
  731. SAME = SAME.AND.ISAME( I )
  732. IF( .NOT.ISAME( I ) )
  733. $ WRITE( NOUT, FMT = 9998 )I
  734. 40 CONTINUE
  735. IF( .NOT.SAME )THEN
  736. FATAL = .TRUE.
  737. GO TO 130
  738. END IF
  739. *
  740. IF( .NOT.NULL )THEN
  741. *
  742. * Check the result.
  743. *
  744. CALL ZMVCH( TRANS, M, N, ALPHA, A,
  745. $ NMAX, X, INCX, BETA, Y,
  746. $ INCY, YT, G, YY, EPS, ERR,
  747. $ FATAL, NOUT, .TRUE. )
  748. ERRMAX = MAX( ERRMAX, ERR )
  749. * If got really bad answer, report and
  750. * return.
  751. IF( FATAL )
  752. $ GO TO 130
  753. ELSE
  754. * Avoid repeating tests with M.le.0 or
  755. * N.le.0.
  756. GO TO 110
  757. END IF
  758. * END IF
  759. *
  760. 50 CONTINUE
  761. *
  762. 60 CONTINUE
  763. *
  764. 70 CONTINUE
  765. *
  766. 80 CONTINUE
  767. *
  768. 90 CONTINUE
  769. *
  770. 100 CONTINUE
  771. *
  772. 110 CONTINUE
  773. *
  774. 120 CONTINUE
  775. *
  776. * Report result.
  777. *
  778. IF( ERRMAX.LT.THRESH )THEN
  779. WRITE( NOUT, FMT = 9999 )SNAME, NC
  780. ELSE
  781. WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
  782. END IF
  783. GO TO 140
  784. *
  785. 130 CONTINUE
  786. WRITE( NOUT, FMT = 9996 )SNAME
  787. IF( FULL )THEN
  788. WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
  789. $ INCX, BETA, INCY
  790. ELSE IF( BANDED )THEN
  791. WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
  792. $ ALPHA, LDA, INCX, BETA, INCY
  793. END IF
  794. *
  795. 140 CONTINUE
  796. RETURN
  797. *
  798. 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
  799. $ 'S)' )
  800. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  801. $ 'ANGED INCORRECTLY *******' )
  802. 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  803. $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  804. $ ' - SUSPECT *******' )
  805. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  806. 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), '(',
  807. $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
  808. $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
  809. 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
  810. $ F4.1, ',', F4.1, '), A,',/ 10x, I3, ', X,', I2, ',(',
  811. $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
  812. 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  813. $ '******' )
  814. *
  815. * End of ZCHK1.
  816. *
  817. END
  818. SUBROUTINE ZCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  819. $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
  820. $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
  821. $ XS, Y, YY, YS, YT, G, IORDER )
  822. *
  823. * Tests CHEMV, CHBMV and CHPMV.
  824. *
  825. * Auxiliary routine for test program for Level 2 Blas.
  826. *
  827. * -- Written on 10-August-1987.
  828. * Richard Hanson, Sandia National Labs.
  829. * Jeremy Du Croz, NAG Central Office.
  830. *
  831. * .. Parameters ..
  832. COMPLEX*16 ZERO, HALF
  833. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  834. $ HALF = ( 0.5D0, 0.0D0 ) )
  835. DOUBLE PRECISION RZERO
  836. PARAMETER ( RZERO = 0.0D0 )
  837. * .. Scalar Arguments ..
  838. DOUBLE PRECISION EPS, THRESH
  839. INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
  840. $ NOUT, NTRA, IORDER
  841. LOGICAL FATAL, REWI, TRACE
  842. CHARACTER*12 SNAME
  843. * .. Array Arguments ..
  844. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  845. $ AS( NMAX*NMAX ), BET( NBET ), X( NMAX ),
  846. $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
  847. $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
  848. $ YY( NMAX*INCMAX )
  849. DOUBLE PRECISION G( NMAX )
  850. INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
  851. * .. Local Scalars ..
  852. COMPLEX*16 ALPHA, ALS, BETA, BLS, TRANSL
  853. DOUBLE PRECISION ERR, ERRMAX
  854. INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY,
  855. $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
  856. $ N, NARGS, NC, NK, NS
  857. LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
  858. CHARACTER*1 UPLO, UPLOS
  859. CHARACTER*14 CUPLO
  860. CHARACTER*2 ICH
  861. * .. Local Arrays ..
  862. LOGICAL ISAME( 13 )
  863. * .. External Functions ..
  864. LOGICAL LZE, LZERES
  865. EXTERNAL LZE, LZERES
  866. * .. External Subroutines ..
  867. EXTERNAL CZHBMV, CZHEMV, CZHPMV, ZMAKE, ZMVCH
  868. * .. Intrinsic Functions ..
  869. INTRINSIC ABS, MAX
  870. * .. Scalars in Common ..
  871. INTEGER INFOT, NOUTC
  872. LOGICAL OK
  873. * .. Common blocks ..
  874. COMMON /INFOC/INFOT, NOUTC, OK
  875. * .. Data statements ..
  876. DATA ICH/'UL'/
  877. * .. Executable Statements ..
  878. FULL = SNAME( 9: 9 ).EQ.'e'
  879. BANDED = SNAME( 9: 9 ).EQ.'b'
  880. PACKED = SNAME( 9: 9 ).EQ.'p'
  881. * Define the number of arguments.
  882. IF( FULL )THEN
  883. NARGS = 10
  884. ELSE IF( BANDED )THEN
  885. NARGS = 11
  886. ELSE IF( PACKED )THEN
  887. NARGS = 9
  888. END IF
  889. *
  890. NC = 0
  891. RESET = .TRUE.
  892. ERRMAX = RZERO
  893. *
  894. DO 110 IN = 1, NIDIM
  895. N = IDIM( IN )
  896. *
  897. IF( BANDED )THEN
  898. NK = NKB
  899. ELSE
  900. NK = 1
  901. END IF
  902. DO 100 IK = 1, NK
  903. IF( BANDED )THEN
  904. K = KB( IK )
  905. ELSE
  906. K = N - 1
  907. END IF
  908. * Set LDA to 1 more than minimum value if room.
  909. IF( BANDED )THEN
  910. LDA = K + 1
  911. ELSE
  912. LDA = N
  913. END IF
  914. IF( LDA.LT.NMAX )
  915. $ LDA = LDA + 1
  916. * Skip tests if not enough room.
  917. IF( LDA.GT.NMAX )
  918. $ GO TO 100
  919. IF( PACKED )THEN
  920. LAA = ( N*( N + 1 ) )/2
  921. ELSE
  922. LAA = LDA*N
  923. END IF
  924. NULL = N.LE.0
  925. *
  926. DO 90 IC = 1, 2
  927. UPLO = ICH( IC: IC )
  928. IF (UPLO.EQ.'U')THEN
  929. CUPLO = ' CblasUpper'
  930. ELSE
  931. CUPLO = ' CblasLower'
  932. END IF
  933. *
  934. * Generate the matrix A.
  935. *
  936. TRANSL = ZERO
  937. CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
  938. $ LDA, K, K, RESET, TRANSL )
  939. *
  940. DO 80 IX = 1, NINC
  941. INCX = INC( IX )
  942. LX = ABS( INCX )*N
  943. *
  944. * Generate the vector X.
  945. *
  946. TRANSL = HALF
  947. CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
  948. $ ABS( INCX ), 0, N - 1, RESET, TRANSL )
  949. IF( N.GT.1 )THEN
  950. X( N/2 ) = ZERO
  951. XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
  952. END IF
  953. *
  954. DO 70 IY = 1, NINC
  955. INCY = INC( IY )
  956. LY = ABS( INCY )*N
  957. *
  958. DO 60 IA = 1, NALF
  959. ALPHA = ALF( IA )
  960. *
  961. DO 50 IB = 1, NBET
  962. BETA = BET( IB )
  963. *
  964. * Generate the vector Y.
  965. *
  966. TRANSL = ZERO
  967. CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
  968. $ ABS( INCY ), 0, N - 1, RESET,
  969. $ TRANSL )
  970. *
  971. NC = NC + 1
  972. *
  973. * Save every datum before calling the
  974. * subroutine.
  975. *
  976. UPLOS = UPLO
  977. NS = N
  978. KS = K
  979. ALS = ALPHA
  980. DO 10 I = 1, LAA
  981. AS( I ) = AA( I )
  982. 10 CONTINUE
  983. LDAS = LDA
  984. DO 20 I = 1, LX
  985. XS( I ) = XX( I )
  986. 20 CONTINUE
  987. INCXS = INCX
  988. BLS = BETA
  989. DO 30 I = 1, LY
  990. YS( I ) = YY( I )
  991. 30 CONTINUE
  992. INCYS = INCY
  993. *
  994. * Call the subroutine.
  995. *
  996. IF( FULL )THEN
  997. IF( TRACE )
  998. $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
  999. $ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
  1000. IF( REWI )
  1001. $ REWIND NTRA
  1002. CALL CZHEMV( IORDER, UPLO, N, ALPHA, AA,
  1003. $ LDA, XX, INCX, BETA, YY,
  1004. $ INCY )
  1005. ELSE IF( BANDED )THEN
  1006. IF( TRACE )
  1007. $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
  1008. $ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
  1009. $ INCY
  1010. IF( REWI )
  1011. $ REWIND NTRA
  1012. CALL CZHBMV( IORDER, UPLO, N, K, ALPHA,
  1013. $ AA, LDA, XX, INCX, BETA,
  1014. $ YY, INCY )
  1015. ELSE IF( PACKED )THEN
  1016. IF( TRACE )
  1017. $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
  1018. $ CUPLO, N, ALPHA, INCX, BETA, INCY
  1019. IF( REWI )
  1020. $ REWIND NTRA
  1021. CALL CZHPMV( IORDER, UPLO, N, ALPHA, AA,
  1022. $ XX, INCX, BETA, YY, INCY )
  1023. END IF
  1024. *
  1025. * Check if error-exit was taken incorrectly.
  1026. *
  1027. IF( .NOT.OK )THEN
  1028. WRITE( NOUT, FMT = 9992 )
  1029. FATAL = .TRUE.
  1030. GO TO 120
  1031. END IF
  1032. *
  1033. * See what data changed inside subroutines.
  1034. *
  1035. ISAME( 1 ) = UPLO.EQ.UPLOS
  1036. ISAME( 2 ) = NS.EQ.N
  1037. IF( FULL )THEN
  1038. ISAME( 3 ) = ALS.EQ.ALPHA
  1039. ISAME( 4 ) = LZE( AS, AA, LAA )
  1040. ISAME( 5 ) = LDAS.EQ.LDA
  1041. ISAME( 6 ) = LZE( XS, XX, LX )
  1042. ISAME( 7 ) = INCXS.EQ.INCX
  1043. ISAME( 8 ) = BLS.EQ.BETA
  1044. IF( NULL )THEN
  1045. ISAME( 9 ) = LZE( YS, YY, LY )
  1046. ELSE
  1047. ISAME( 9 ) = LZERES( 'ge', ' ', 1, N,
  1048. $ YS, YY, ABS( INCY ) )
  1049. END IF
  1050. ISAME( 10 ) = INCYS.EQ.INCY
  1051. ELSE IF( BANDED )THEN
  1052. ISAME( 3 ) = KS.EQ.K
  1053. ISAME( 4 ) = ALS.EQ.ALPHA
  1054. ISAME( 5 ) = LZE( AS, AA, LAA )
  1055. ISAME( 6 ) = LDAS.EQ.LDA
  1056. ISAME( 7 ) = LZE( XS, XX, LX )
  1057. ISAME( 8 ) = INCXS.EQ.INCX
  1058. ISAME( 9 ) = BLS.EQ.BETA
  1059. IF( NULL )THEN
  1060. ISAME( 10 ) = LZE( YS, YY, LY )
  1061. ELSE
  1062. ISAME( 10 ) = LZERES( 'ge', ' ', 1, N,
  1063. $ YS, YY, ABS( INCY ) )
  1064. END IF
  1065. ISAME( 11 ) = INCYS.EQ.INCY
  1066. ELSE IF( PACKED )THEN
  1067. ISAME( 3 ) = ALS.EQ.ALPHA
  1068. ISAME( 4 ) = LZE( AS, AA, LAA )
  1069. ISAME( 5 ) = LZE( XS, XX, LX )
  1070. ISAME( 6 ) = INCXS.EQ.INCX
  1071. ISAME( 7 ) = BLS.EQ.BETA
  1072. IF( NULL )THEN
  1073. ISAME( 8 ) = LZE( YS, YY, LY )
  1074. ELSE
  1075. ISAME( 8 ) = LZERES( 'ge', ' ', 1, N,
  1076. $ YS, YY, ABS( INCY ) )
  1077. END IF
  1078. ISAME( 9 ) = INCYS.EQ.INCY
  1079. END IF
  1080. *
  1081. * If data was incorrectly changed, report and
  1082. * return.
  1083. *
  1084. SAME = .TRUE.
  1085. DO 40 I = 1, NARGS
  1086. SAME = SAME.AND.ISAME( I )
  1087. IF( .NOT.ISAME( I ) )
  1088. $ WRITE( NOUT, FMT = 9998 )I
  1089. 40 CONTINUE
  1090. IF( .NOT.SAME )THEN
  1091. FATAL = .TRUE.
  1092. GO TO 120
  1093. END IF
  1094. *
  1095. IF( .NOT.NULL )THEN
  1096. *
  1097. * Check the result.
  1098. *
  1099. CALL ZMVCH( 'N', N, N, ALPHA, A, NMAX, X,
  1100. $ INCX, BETA, Y, INCY, YT, G,
  1101. $ YY, EPS, ERR, FATAL, NOUT,
  1102. $ .TRUE. )
  1103. ERRMAX = MAX( ERRMAX, ERR )
  1104. * If got really bad answer, report and
  1105. * return.
  1106. IF( FATAL )
  1107. $ GO TO 120
  1108. ELSE
  1109. * Avoid repeating tests with N.le.0
  1110. GO TO 110
  1111. END IF
  1112. *
  1113. 50 CONTINUE
  1114. *
  1115. 60 CONTINUE
  1116. *
  1117. 70 CONTINUE
  1118. *
  1119. 80 CONTINUE
  1120. *
  1121. 90 CONTINUE
  1122. *
  1123. 100 CONTINUE
  1124. *
  1125. 110 CONTINUE
  1126. *
  1127. * Report result.
  1128. *
  1129. IF( ERRMAX.LT.THRESH )THEN
  1130. WRITE( NOUT, FMT = 9999 )SNAME, NC
  1131. ELSE
  1132. WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
  1133. END IF
  1134. GO TO 130
  1135. *
  1136. 120 CONTINUE
  1137. WRITE( NOUT, FMT = 9996 )SNAME
  1138. IF( FULL )THEN
  1139. WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA, INCX,
  1140. $ BETA, INCY
  1141. ELSE IF( BANDED )THEN
  1142. WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
  1143. $ INCX, BETA, INCY
  1144. ELSE IF( PACKED )THEN
  1145. WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
  1146. $ BETA, INCY
  1147. END IF
  1148. *
  1149. 130 CONTINUE
  1150. RETURN
  1151. *
  1152. 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
  1153. $ 'S)' )
  1154. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1155. $ 'ANGED INCORRECTLY *******' )
  1156. 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  1157. $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  1158. $ ' - SUSPECT *******' )
  1159. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  1160. 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
  1161. $ F4.1, '), AP, X,',/ 10x, I2, ',(', F4.1, ',', F4.1,
  1162. $ '), Y,', I2, ') .' )
  1163. 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), '(',
  1164. $ F4.1, ',', F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(',
  1165. $ F4.1, ',', F4.1, '), Y,', I2, ') .' )
  1166. 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
  1167. $ F4.1, '), A,', I3, ', X,',/ 10x, I2, ',(', F4.1, ',',
  1168. $ F4.1, '), ', 'Y,', I2, ') .' )
  1169. 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1170. $ '******' )
  1171. *
  1172. * End of CZHK2.
  1173. *
  1174. END
  1175. SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1176. $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
  1177. $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
  1178. *
  1179. * Tests ZTRMV, ZTBMV, ZTPMV, ZTRSV, ZTBSV and ZTPSV.
  1180. *
  1181. * Auxiliary routine for test program for Level 2 Blas.
  1182. *
  1183. * -- Written on 10-August-1987.
  1184. * Richard Hanson, Sandia National Labs.
  1185. * Jeremy Du Croz, NAG Central Office.
  1186. *
  1187. * .. Parameters ..
  1188. COMPLEX*16 ZERO, HALF, ONE
  1189. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  1190. $ HALF = ( 0.5D0, 0.0D0 ),
  1191. $ ONE = ( 1.0D0, 0.0D0 ) )
  1192. DOUBLE PRECISION RZERO
  1193. PARAMETER ( RZERO = 0.0D0 )
  1194. * .. Scalar Arguments ..
  1195. DOUBLE PRECISION EPS, THRESH
  1196. INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
  1197. $ IORDER
  1198. LOGICAL FATAL, REWI, TRACE
  1199. CHARACTER*12 SNAME
  1200. * .. Array Arguments ..
  1201. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ),
  1202. $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
  1203. $ XT( NMAX ), XX( NMAX*INCMAX ), Z( NMAX )
  1204. DOUBLE PRECISION G( NMAX )
  1205. INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
  1206. * .. Local Scalars ..
  1207. COMPLEX*16 TRANSL
  1208. DOUBLE PRECISION ERR, ERRMAX
  1209. INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
  1210. $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
  1211. LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
  1212. CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
  1213. CHARACTER*14 CUPLO,CTRANS,CDIAG
  1214. CHARACTER*2 ICHD, ICHU
  1215. CHARACTER*3 ICHT
  1216. * .. Local Arrays ..
  1217. LOGICAL ISAME( 13 )
  1218. * .. External Functions ..
  1219. LOGICAL LZE, LZERES
  1220. EXTERNAL LZE, LZERES
  1221. * .. External Subroutines ..
  1222. EXTERNAL ZMAKE, ZMVCH, CZTBMV, CZTBSV, CZTPMV,
  1223. $ CZTPSV, CZTRMV, CZTRSV
  1224. * .. Intrinsic Functions ..
  1225. INTRINSIC ABS, MAX
  1226. * .. Scalars in Common ..
  1227. INTEGER INFOT, NOUTC
  1228. LOGICAL OK
  1229. * .. Common blocks ..
  1230. COMMON /INFOC/INFOT, NOUTC, OK
  1231. * .. Data statements ..
  1232. DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
  1233. * .. Executable Statements ..
  1234. FULL = SNAME( 9: 9 ).EQ.'r'
  1235. BANDED = SNAME( 9: 9 ).EQ.'b'
  1236. PACKED = SNAME( 9: 9 ).EQ.'p'
  1237. * Define the number of arguments.
  1238. IF( FULL )THEN
  1239. NARGS = 8
  1240. ELSE IF( BANDED )THEN
  1241. NARGS = 9
  1242. ELSE IF( PACKED )THEN
  1243. NARGS = 7
  1244. END IF
  1245. *
  1246. NC = 0
  1247. RESET = .TRUE.
  1248. ERRMAX = RZERO
  1249. * Set up zero vector for ZMVCH.
  1250. DO 10 I = 1, NMAX
  1251. Z( I ) = ZERO
  1252. 10 CONTINUE
  1253. *
  1254. DO 110 IN = 1, NIDIM
  1255. N = IDIM( IN )
  1256. *
  1257. IF( BANDED )THEN
  1258. NK = NKB
  1259. ELSE
  1260. NK = 1
  1261. END IF
  1262. DO 100 IK = 1, NK
  1263. IF( BANDED )THEN
  1264. K = KB( IK )
  1265. ELSE
  1266. K = N - 1
  1267. END IF
  1268. * Set LDA to 1 more than minimum value if room.
  1269. IF( BANDED )THEN
  1270. LDA = K + 1
  1271. ELSE
  1272. LDA = N
  1273. END IF
  1274. IF( LDA.LT.NMAX )
  1275. $ LDA = LDA + 1
  1276. * Skip tests if not enough room.
  1277. IF( LDA.GT.NMAX )
  1278. $ GO TO 100
  1279. IF( PACKED )THEN
  1280. LAA = ( N*( N + 1 ) )/2
  1281. ELSE
  1282. LAA = LDA*N
  1283. END IF
  1284. NULL = N.LE.0
  1285. *
  1286. DO 90 ICU = 1, 2
  1287. UPLO = ICHU( ICU: ICU )
  1288. IF (UPLO.EQ.'U')THEN
  1289. CUPLO = ' CblasUpper'
  1290. ELSE
  1291. CUPLO = ' CblasLower'
  1292. END IF
  1293. *
  1294. DO 80 ICT = 1, 3
  1295. TRANS = ICHT( ICT: ICT )
  1296. IF (TRANS.EQ.'N')THEN
  1297. CTRANS = ' CblasNoTrans'
  1298. ELSE IF (TRANS.EQ.'T')THEN
  1299. CTRANS = ' CblasTrans'
  1300. ELSE
  1301. CTRANS = 'CblasConjTrans'
  1302. END IF
  1303. *
  1304. DO 70 ICD = 1, 2
  1305. DIAG = ICHD( ICD: ICD )
  1306. IF (DIAG.EQ.'N')THEN
  1307. CDIAG = ' CblasNonUnit'
  1308. ELSE
  1309. CDIAG = ' CblasUnit'
  1310. END IF
  1311. *
  1312. * Generate the matrix A.
  1313. *
  1314. TRANSL = ZERO
  1315. CALL ZMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
  1316. $ NMAX, AA, LDA, K, K, RESET, TRANSL )
  1317. *
  1318. DO 60 IX = 1, NINC
  1319. INCX = INC( IX )
  1320. LX = ABS( INCX )*N
  1321. *
  1322. * Generate the vector X.
  1323. *
  1324. TRANSL = HALF
  1325. CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
  1326. $ ABS( INCX ), 0, N - 1, RESET,
  1327. $ TRANSL )
  1328. IF( N.GT.1 )THEN
  1329. X( N/2 ) = ZERO
  1330. XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
  1331. END IF
  1332. *
  1333. NC = NC + 1
  1334. *
  1335. * Save every datum before calling the subroutine.
  1336. *
  1337. UPLOS = UPLO
  1338. TRANSS = TRANS
  1339. DIAGS = DIAG
  1340. NS = N
  1341. KS = K
  1342. DO 20 I = 1, LAA
  1343. AS( I ) = AA( I )
  1344. 20 CONTINUE
  1345. LDAS = LDA
  1346. DO 30 I = 1, LX
  1347. XS( I ) = XX( I )
  1348. 30 CONTINUE
  1349. INCXS = INCX
  1350. *
  1351. * Call the subroutine.
  1352. *
  1353. IF( SNAME( 10: 11 ).EQ.'mv' )THEN
  1354. IF( FULL )THEN
  1355. IF( TRACE )
  1356. $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
  1357. $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
  1358. IF( REWI )
  1359. $ REWIND NTRA
  1360. CALL CZTRMV( IORDER, UPLO, TRANS, DIAG,
  1361. $ N, AA, LDA, XX, INCX )
  1362. ELSE IF( BANDED )THEN
  1363. IF( TRACE )
  1364. $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
  1365. $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
  1366. IF( REWI )
  1367. $ REWIND NTRA
  1368. CALL CZTBMV( IORDER, UPLO, TRANS, DIAG,
  1369. $ N, K, AA, LDA, XX, INCX )
  1370. ELSE IF( PACKED )THEN
  1371. IF( TRACE )
  1372. $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
  1373. $ CUPLO, CTRANS, CDIAG, N, INCX
  1374. IF( REWI )
  1375. $ REWIND NTRA
  1376. CALL CZTPMV( IORDER, UPLO, TRANS, DIAG,
  1377. $ N, AA, XX, INCX )
  1378. END IF
  1379. ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
  1380. IF( FULL )THEN
  1381. IF( TRACE )
  1382. $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
  1383. $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
  1384. IF( REWI )
  1385. $ REWIND NTRA
  1386. CALL CZTRSV( IORDER, UPLO, TRANS, DIAG,
  1387. $ N, AA, LDA, XX, INCX )
  1388. ELSE IF( BANDED )THEN
  1389. IF( TRACE )
  1390. $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
  1391. $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
  1392. IF( REWI )
  1393. $ REWIND NTRA
  1394. CALL CZTBSV( IORDER, UPLO, TRANS, DIAG,
  1395. $ N, K, AA, LDA, XX, INCX )
  1396. ELSE IF( PACKED )THEN
  1397. IF( TRACE )
  1398. $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
  1399. $ CUPLO, CTRANS, CDIAG, N, INCX
  1400. IF( REWI )
  1401. $ REWIND NTRA
  1402. CALL CZTPSV( IORDER, UPLO, TRANS, DIAG,
  1403. $ N, AA, XX, INCX )
  1404. END IF
  1405. END IF
  1406. *
  1407. * Check if error-exit was taken incorrectly.
  1408. *
  1409. IF( .NOT.OK )THEN
  1410. WRITE( NOUT, FMT = 9992 )
  1411. FATAL = .TRUE.
  1412. GO TO 120
  1413. END IF
  1414. *
  1415. * See what data changed inside subroutines.
  1416. *
  1417. ISAME( 1 ) = UPLO.EQ.UPLOS
  1418. ISAME( 2 ) = TRANS.EQ.TRANSS
  1419. ISAME( 3 ) = DIAG.EQ.DIAGS
  1420. ISAME( 4 ) = NS.EQ.N
  1421. IF( FULL )THEN
  1422. ISAME( 5 ) = LZE( AS, AA, LAA )
  1423. ISAME( 6 ) = LDAS.EQ.LDA
  1424. IF( NULL )THEN
  1425. ISAME( 7 ) = LZE( XS, XX, LX )
  1426. ELSE
  1427. ISAME( 7 ) = LZERES( 'ge', ' ', 1, N, XS,
  1428. $ XX, ABS( INCX ) )
  1429. END IF
  1430. ISAME( 8 ) = INCXS.EQ.INCX
  1431. ELSE IF( BANDED )THEN
  1432. ISAME( 5 ) = KS.EQ.K
  1433. ISAME( 6 ) = LZE( AS, AA, LAA )
  1434. ISAME( 7 ) = LDAS.EQ.LDA
  1435. IF( NULL )THEN
  1436. ISAME( 8 ) = LZE( XS, XX, LX )
  1437. ELSE
  1438. ISAME( 8 ) = LZERES( 'ge', ' ', 1, N, XS,
  1439. $ XX, ABS( INCX ) )
  1440. END IF
  1441. ISAME( 9 ) = INCXS.EQ.INCX
  1442. ELSE IF( PACKED )THEN
  1443. ISAME( 5 ) = LZE( AS, AA, LAA )
  1444. IF( NULL )THEN
  1445. ISAME( 6 ) = LZE( XS, XX, LX )
  1446. ELSE
  1447. ISAME( 6 ) = LZERES( 'ge', ' ', 1, N, XS,
  1448. $ XX, ABS( INCX ) )
  1449. END IF
  1450. ISAME( 7 ) = INCXS.EQ.INCX
  1451. END IF
  1452. *
  1453. * If data was incorrectly changed, report and
  1454. * return.
  1455. *
  1456. SAME = .TRUE.
  1457. DO 40 I = 1, NARGS
  1458. SAME = SAME.AND.ISAME( I )
  1459. IF( .NOT.ISAME( I ) )
  1460. $ WRITE( NOUT, FMT = 9998 )I
  1461. 40 CONTINUE
  1462. IF( .NOT.SAME )THEN
  1463. FATAL = .TRUE.
  1464. GO TO 120
  1465. END IF
  1466. *
  1467. IF( .NOT.NULL )THEN
  1468. IF( SNAME( 10: 11 ).EQ.'mv' )THEN
  1469. *
  1470. * Check the result.
  1471. *
  1472. CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, X,
  1473. $ INCX, ZERO, Z, INCX, XT, G,
  1474. $ XX, EPS, ERR, FATAL, NOUT,
  1475. $ .TRUE. )
  1476. ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
  1477. *
  1478. * Compute approximation to original vector.
  1479. *
  1480. DO 50 I = 1, N
  1481. Z( I ) = XX( 1 + ( I - 1 )*
  1482. $ ABS( INCX ) )
  1483. XX( 1 + ( I - 1 )*ABS( INCX ) )
  1484. $ = X( I )
  1485. 50 CONTINUE
  1486. CALL ZMVCH( TRANS, N, N, ONE, A, NMAX, Z,
  1487. $ INCX, ZERO, X, INCX, XT, G,
  1488. $ XX, EPS, ERR, FATAL, NOUT,
  1489. $ .FALSE. )
  1490. END IF
  1491. ERRMAX = MAX( ERRMAX, ERR )
  1492. * If got really bad answer, report and return.
  1493. IF( FATAL )
  1494. $ GO TO 120
  1495. ELSE
  1496. * Avoid repeating tests with N.le.0.
  1497. GO TO 110
  1498. END IF
  1499. *
  1500. 60 CONTINUE
  1501. *
  1502. 70 CONTINUE
  1503. *
  1504. 80 CONTINUE
  1505. *
  1506. 90 CONTINUE
  1507. *
  1508. 100 CONTINUE
  1509. *
  1510. 110 CONTINUE
  1511. *
  1512. * Report result.
  1513. *
  1514. IF( ERRMAX.LT.THRESH )THEN
  1515. WRITE( NOUT, FMT = 9999 )SNAME, NC
  1516. ELSE
  1517. WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
  1518. END IF
  1519. GO TO 130
  1520. *
  1521. 120 CONTINUE
  1522. WRITE( NOUT, FMT = 9996 )SNAME
  1523. IF( FULL )THEN
  1524. WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
  1525. $ LDA, INCX
  1526. ELSE IF( BANDED )THEN
  1527. WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N, K,
  1528. $ LDA, INCX
  1529. ELSE IF( PACKED )THEN
  1530. WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
  1531. $ INCX
  1532. END IF
  1533. *
  1534. 130 CONTINUE
  1535. RETURN
  1536. *
  1537. 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
  1538. $ 'S)' )
  1539. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1540. $ 'ANGED INCORRECTLY *******' )
  1541. 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  1542. $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  1543. $ ' - SUSPECT *******' )
  1544. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  1545. 9995 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', AP, ',
  1546. $ 'X,', I2, ') .' )
  1547. 9994 FORMAT(1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, 2( I3, ',' ),
  1548. $ ' A,', I3, ', X,', I2, ') .' )
  1549. 9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14, ',' ),/ 10x, I3, ', A,',
  1550. $ I3, ', X,', I2, ') .' )
  1551. 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1552. $ '******' )
  1553. *
  1554. * End of ZCHK3.
  1555. *
  1556. END
  1557. SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1558. $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
  1559. $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
  1560. $ Z, IORDER )
  1561. *
  1562. * Tests ZGERC and ZGERU.
  1563. *
  1564. * Auxiliary routine for test program for Level 2 Blas.
  1565. *
  1566. * -- Written on 10-August-1987.
  1567. * Richard Hanson, Sandia National Labs.
  1568. * Jeremy Du Croz, NAG Central Office.
  1569. *
  1570. * .. Parameters ..
  1571. COMPLEX*16 ZERO, HALF, ONE
  1572. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  1573. $ HALF = ( 0.5D0, 0.0D0 ),
  1574. $ ONE = ( 1.0D0, 0.0D0 ) )
  1575. DOUBLE PRECISION RZERO
  1576. PARAMETER ( RZERO = 0.0D0 )
  1577. * .. Scalar Arguments ..
  1578. DOUBLE PRECISION EPS, THRESH
  1579. INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
  1580. $ IORDER
  1581. LOGICAL FATAL, REWI, TRACE
  1582. CHARACTER*12 SNAME
  1583. * .. Array Arguments ..
  1584. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1585. $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
  1586. $ XX( NMAX*INCMAX ), Y( NMAX ),
  1587. $ YS( NMAX*INCMAX ), YT( NMAX ),
  1588. $ YY( NMAX*INCMAX ), Z( NMAX )
  1589. DOUBLE PRECISION G( NMAX )
  1590. INTEGER IDIM( NIDIM ), INC( NINC )
  1591. * .. Local Scalars ..
  1592. COMPLEX*16 ALPHA, ALS, TRANSL
  1593. DOUBLE PRECISION ERR, ERRMAX
  1594. INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
  1595. $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
  1596. $ NC, ND, NS
  1597. LOGICAL CONJ, NULL, RESET, SAME
  1598. * .. Local Arrays ..
  1599. COMPLEX*16 W( 1 )
  1600. LOGICAL ISAME( 13 )
  1601. * .. External Functions ..
  1602. LOGICAL LZE, LZERES
  1603. EXTERNAL LZE, LZERES
  1604. * .. External Subroutines ..
  1605. EXTERNAL CZGERC, CZGERU, ZMAKE, ZMVCH
  1606. * .. Intrinsic Functions ..
  1607. INTRINSIC ABS, DCONJG, MAX, MIN
  1608. * .. Scalars in Common ..
  1609. INTEGER INFOT, NOUTC
  1610. LOGICAL OK
  1611. * .. Common blocks ..
  1612. COMMON /INFOC/INFOT, NOUTC, OK
  1613. * .. Executable Statements ..
  1614. CONJ = SNAME( 11: 11 ).EQ.'c'
  1615. * Define the number of arguments.
  1616. NARGS = 9
  1617. *
  1618. NC = 0
  1619. RESET = .TRUE.
  1620. ERRMAX = RZERO
  1621. *
  1622. DO 120 IN = 1, NIDIM
  1623. N = IDIM( IN )
  1624. ND = N/2 + 1
  1625. *
  1626. DO 110 IM = 1, 2
  1627. IF( IM.EQ.1 )
  1628. $ M = MAX( N - ND, 0 )
  1629. IF( IM.EQ.2 )
  1630. $ M = MIN( N + ND, NMAX )
  1631. *
  1632. * Set LDA to 1 more than minimum value if room.
  1633. LDA = M
  1634. IF( LDA.LT.NMAX )
  1635. $ LDA = LDA + 1
  1636. * Skip tests if not enough room.
  1637. IF( LDA.GT.NMAX )
  1638. $ GO TO 110
  1639. LAA = LDA*N
  1640. NULL = N.LE.0.OR.M.LE.0
  1641. *
  1642. DO 100 IX = 1, NINC
  1643. INCX = INC( IX )
  1644. LX = ABS( INCX )*M
  1645. *
  1646. * Generate the vector X.
  1647. *
  1648. TRANSL = HALF
  1649. CALL ZMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
  1650. $ 0, M - 1, RESET, TRANSL )
  1651. IF( M.GT.1 )THEN
  1652. X( M/2 ) = ZERO
  1653. XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
  1654. END IF
  1655. *
  1656. DO 90 IY = 1, NINC
  1657. INCY = INC( IY )
  1658. LY = ABS( INCY )*N
  1659. *
  1660. * Generate the vector Y.
  1661. *
  1662. TRANSL = ZERO
  1663. CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
  1664. $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
  1665. IF( N.GT.1 )THEN
  1666. Y( N/2 ) = ZERO
  1667. YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
  1668. END IF
  1669. *
  1670. DO 80 IA = 1, NALF
  1671. ALPHA = ALF( IA )
  1672. *
  1673. * Generate the matrix A.
  1674. *
  1675. TRANSL = ZERO
  1676. CALL ZMAKE(SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
  1677. $ AA, LDA, M - 1, N - 1, RESET, TRANSL )
  1678. *
  1679. NC = NC + 1
  1680. *
  1681. * Save every datum before calling the subroutine.
  1682. *
  1683. MS = M
  1684. NS = N
  1685. ALS = ALPHA
  1686. DO 10 I = 1, LAA
  1687. AS( I ) = AA( I )
  1688. 10 CONTINUE
  1689. LDAS = LDA
  1690. DO 20 I = 1, LX
  1691. XS( I ) = XX( I )
  1692. 20 CONTINUE
  1693. INCXS = INCX
  1694. DO 30 I = 1, LY
  1695. YS( I ) = YY( I )
  1696. 30 CONTINUE
  1697. INCYS = INCY
  1698. *
  1699. * Call the subroutine.
  1700. *
  1701. IF( TRACE )
  1702. $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
  1703. $ ALPHA, INCX, INCY, LDA
  1704. IF( CONJ )THEN
  1705. IF( REWI )
  1706. $ REWIND NTRA
  1707. CALL CZGERC( IORDER, M, N, ALPHA, XX, INCX,
  1708. $ YY, INCY, AA, LDA )
  1709. ELSE
  1710. IF( REWI )
  1711. $ REWIND NTRA
  1712. CALL CZGERU( IORDER, M, N, ALPHA, XX, INCX,
  1713. $ YY, INCY, AA, LDA )
  1714. END IF
  1715. *
  1716. * Check if error-exit was taken incorrectly.
  1717. *
  1718. IF( .NOT.OK )THEN
  1719. WRITE( NOUT, FMT = 9993 )
  1720. FATAL = .TRUE.
  1721. GO TO 140
  1722. END IF
  1723. *
  1724. * See what data changed inside subroutine.
  1725. *
  1726. ISAME( 1 ) = MS.EQ.M
  1727. ISAME( 2 ) = NS.EQ.N
  1728. ISAME( 3 ) = ALS.EQ.ALPHA
  1729. ISAME( 4 ) = LZE( XS, XX, LX )
  1730. ISAME( 5 ) = INCXS.EQ.INCX
  1731. ISAME( 6 ) = LZE( YS, YY, LY )
  1732. ISAME( 7 ) = INCYS.EQ.INCY
  1733. IF( NULL )THEN
  1734. ISAME( 8 ) = LZE( AS, AA, LAA )
  1735. ELSE
  1736. ISAME( 8 ) = LZERES( 'ge', ' ', M, N, AS, AA,
  1737. $ LDA )
  1738. END IF
  1739. ISAME( 9 ) = LDAS.EQ.LDA
  1740. *
  1741. * If data was incorrectly changed, report and return.
  1742. *
  1743. SAME = .TRUE.
  1744. DO 40 I = 1, NARGS
  1745. SAME = SAME.AND.ISAME( I )
  1746. IF( .NOT.ISAME( I ) )
  1747. $ WRITE( NOUT, FMT = 9998 )I
  1748. 40 CONTINUE
  1749. IF( .NOT.SAME )THEN
  1750. FATAL = .TRUE.
  1751. GO TO 140
  1752. END IF
  1753. *
  1754. IF( .NOT.NULL )THEN
  1755. *
  1756. * Check the result column by column.
  1757. *
  1758. IF( INCX.GT.0 )THEN
  1759. DO 50 I = 1, M
  1760. Z( I ) = X( I )
  1761. 50 CONTINUE
  1762. ELSE
  1763. DO 60 I = 1, M
  1764. Z( I ) = X( M - I + 1 )
  1765. 60 CONTINUE
  1766. END IF
  1767. DO 70 J = 1, N
  1768. IF( INCY.GT.0 )THEN
  1769. W( 1 ) = Y( J )
  1770. ELSE
  1771. W( 1 ) = Y( N - J + 1 )
  1772. END IF
  1773. IF( CONJ )
  1774. $ W( 1 ) = DCONJG( W( 1 ) )
  1775. CALL ZMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1,
  1776. $ ONE, A( 1, J ), 1, YT, G,
  1777. $ AA( 1 + ( J - 1 )*LDA ), EPS,
  1778. $ ERR, FATAL, NOUT, .TRUE. )
  1779. ERRMAX = MAX( ERRMAX, ERR )
  1780. * If got really bad answer, report and return.
  1781. IF( FATAL )
  1782. $ GO TO 130
  1783. 70 CONTINUE
  1784. ELSE
  1785. * Avoid repeating tests with M.le.0 or N.le.0.
  1786. GO TO 110
  1787. END IF
  1788. *
  1789. 80 CONTINUE
  1790. *
  1791. 90 CONTINUE
  1792. *
  1793. 100 CONTINUE
  1794. *
  1795. 110 CONTINUE
  1796. *
  1797. 120 CONTINUE
  1798. *
  1799. * Report result.
  1800. *
  1801. IF( ERRMAX.LT.THRESH )THEN
  1802. WRITE( NOUT, FMT = 9999 )SNAME, NC
  1803. ELSE
  1804. WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
  1805. END IF
  1806. GO TO 150
  1807. *
  1808. 130 CONTINUE
  1809. WRITE( NOUT, FMT = 9995 )J
  1810. *
  1811. 140 CONTINUE
  1812. WRITE( NOUT, FMT = 9996 )SNAME
  1813. WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
  1814. *
  1815. 150 CONTINUE
  1816. RETURN
  1817. *
  1818. 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
  1819. $ 'S)' )
  1820. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1821. $ 'ANGED INCORRECTLY *******' )
  1822. 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  1823. $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  1824. $ ' - SUSPECT *******' )
  1825. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  1826. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  1827. 9994 FORMAT(1X, I6, ': ',A12, '(', 2( I3, ',' ), '(', F4.1, ',', F4.1,
  1828. $ '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
  1829. 9993 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1830. $ '******' )
  1831. *
  1832. * End of ZCHK4.
  1833. *
  1834. END
  1835. SUBROUTINE ZCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1836. $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
  1837. $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
  1838. $ Z, IORDER )
  1839. *
  1840. * Tests ZHER and ZHPR.
  1841. *
  1842. * Auxiliary routine for test program for Level 2 Blas.
  1843. *
  1844. * -- Written on 10-August-1987.
  1845. * Richard Hanson, Sandia National Labs.
  1846. * Jeremy Du Croz, NAG Central Office.
  1847. *
  1848. * .. Parameters ..
  1849. COMPLEX*16 ZERO, HALF, ONE
  1850. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  1851. $ HALF = ( 0.5D0, 0.0D0 ),
  1852. $ ONE = ( 1.0D0, 0.0D0 ) )
  1853. DOUBLE PRECISION RZERO
  1854. PARAMETER ( RZERO = 0.0D0 )
  1855. * .. Scalar Arguments ..
  1856. DOUBLE PRECISION EPS, THRESH
  1857. INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
  1858. $ IORDER
  1859. LOGICAL FATAL, REWI, TRACE
  1860. CHARACTER*12 SNAME
  1861. * .. Array Arguments ..
  1862. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1863. $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
  1864. $ XX( NMAX*INCMAX ), Y( NMAX ),
  1865. $ YS( NMAX*INCMAX ), YT( NMAX ),
  1866. $ YY( NMAX*INCMAX ), Z( NMAX )
  1867. DOUBLE PRECISION G( NMAX )
  1868. INTEGER IDIM( NIDIM ), INC( NINC )
  1869. * .. Local Scalars ..
  1870. COMPLEX*16 ALPHA, TRANSL
  1871. DOUBLE PRECISION ERR, ERRMAX, RALPHA, RALS
  1872. INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA,
  1873. $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
  1874. LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
  1875. CHARACTER*1 UPLO, UPLOS
  1876. CHARACTER*14 CUPLO
  1877. CHARACTER*2 ICH
  1878. * .. Local Arrays ..
  1879. COMPLEX*16 W( 1 )
  1880. LOGICAL ISAME( 13 )
  1881. * .. External Functions ..
  1882. LOGICAL LZE, LZERES
  1883. EXTERNAL LZE, LZERES
  1884. * .. External Subroutines ..
  1885. EXTERNAL CZHER, CZHPR, ZMAKE, ZMVCH
  1886. * .. Intrinsic Functions ..
  1887. INTRINSIC ABS, DCMPLX, DCONJG, MAX, DBLE
  1888. * .. Scalars in Common ..
  1889. INTEGER INFOT, NOUTC
  1890. LOGICAL OK
  1891. * .. Common blocks ..
  1892. COMMON /INFOC/INFOT, NOUTC, OK
  1893. * .. Data statements ..
  1894. DATA ICH/'UL'/
  1895. * .. Executable Statements ..
  1896. FULL = SNAME( 9: 9 ).EQ.'e'
  1897. PACKED = SNAME( 9: 9 ).EQ.'p'
  1898. * Define the number of arguments.
  1899. IF( FULL )THEN
  1900. NARGS = 7
  1901. ELSE IF( PACKED )THEN
  1902. NARGS = 6
  1903. END IF
  1904. *
  1905. NC = 0
  1906. RESET = .TRUE.
  1907. ERRMAX = RZERO
  1908. *
  1909. DO 100 IN = 1, NIDIM
  1910. N = IDIM( IN )
  1911. * Set LDA to 1 more than minimum value if room.
  1912. LDA = N
  1913. IF( LDA.LT.NMAX )
  1914. $ LDA = LDA + 1
  1915. * Skip tests if not enough room.
  1916. IF( LDA.GT.NMAX )
  1917. $ GO TO 100
  1918. IF( PACKED )THEN
  1919. LAA = ( N*( N + 1 ) )/2
  1920. ELSE
  1921. LAA = LDA*N
  1922. END IF
  1923. *
  1924. DO 90 IC = 1, 2
  1925. UPLO = ICH( IC: IC )
  1926. IF (UPLO.EQ.'U')THEN
  1927. CUPLO = ' CblasUpper'
  1928. ELSE
  1929. CUPLO = ' CblasLower'
  1930. END IF
  1931. UPPER = UPLO.EQ.'U'
  1932. *
  1933. DO 80 IX = 1, NINC
  1934. INCX = INC( IX )
  1935. LX = ABS( INCX )*N
  1936. *
  1937. * Generate the vector X.
  1938. *
  1939. TRANSL = HALF
  1940. CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
  1941. $ 0, N - 1, RESET, TRANSL )
  1942. IF( N.GT.1 )THEN
  1943. X( N/2 ) = ZERO
  1944. XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
  1945. END IF
  1946. *
  1947. DO 70 IA = 1, NALF
  1948. RALPHA = DBLE( ALF( IA ) )
  1949. ALPHA = DCMPLX( RALPHA, RZERO )
  1950. NULL = N.LE.0.OR.RALPHA.EQ.RZERO
  1951. *
  1952. * Generate the matrix A.
  1953. *
  1954. TRANSL = ZERO
  1955. CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
  1956. $ AA, LDA, N - 1, N - 1, RESET, TRANSL )
  1957. *
  1958. NC = NC + 1
  1959. *
  1960. * Save every datum before calling the subroutine.
  1961. *
  1962. UPLOS = UPLO
  1963. NS = N
  1964. RALS = RALPHA
  1965. DO 10 I = 1, LAA
  1966. AS( I ) = AA( I )
  1967. 10 CONTINUE
  1968. LDAS = LDA
  1969. DO 20 I = 1, LX
  1970. XS( I ) = XX( I )
  1971. 20 CONTINUE
  1972. INCXS = INCX
  1973. *
  1974. * Call the subroutine.
  1975. *
  1976. IF( FULL )THEN
  1977. IF( TRACE )
  1978. $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
  1979. $ RALPHA, INCX, LDA
  1980. IF( REWI )
  1981. $ REWIND NTRA
  1982. CALL CZHER( IORDER, UPLO, N, RALPHA, XX,
  1983. $ INCX, AA, LDA )
  1984. ELSE IF( PACKED )THEN
  1985. IF( TRACE )
  1986. $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
  1987. $ RALPHA, INCX
  1988. IF( REWI )
  1989. $ REWIND NTRA
  1990. CALL CZHPR( IORDER, UPLO, N, RALPHA,
  1991. $ XX, INCX, AA )
  1992. END IF
  1993. *
  1994. * Check if error-exit was taken incorrectly.
  1995. *
  1996. IF( .NOT.OK )THEN
  1997. WRITE( NOUT, FMT = 9992 )
  1998. FATAL = .TRUE.
  1999. GO TO 120
  2000. END IF
  2001. *
  2002. * See what data changed inside subroutines.
  2003. *
  2004. ISAME( 1 ) = UPLO.EQ.UPLOS
  2005. ISAME( 2 ) = NS.EQ.N
  2006. ISAME( 3 ) = RALS.EQ.RALPHA
  2007. ISAME( 4 ) = LZE( XS, XX, LX )
  2008. ISAME( 5 ) = INCXS.EQ.INCX
  2009. IF( NULL )THEN
  2010. ISAME( 6 ) = LZE( AS, AA, LAA )
  2011. ELSE
  2012. ISAME( 6 ) = LZERES( SNAME( 8: 9 ), UPLO, N, N, AS,
  2013. $ AA, LDA )
  2014. END IF
  2015. IF( .NOT.PACKED )THEN
  2016. ISAME( 7 ) = LDAS.EQ.LDA
  2017. END IF
  2018. *
  2019. * If data was incorrectly changed, report and return.
  2020. *
  2021. SAME = .TRUE.
  2022. DO 30 I = 1, NARGS
  2023. SAME = SAME.AND.ISAME( I )
  2024. IF( .NOT.ISAME( I ) )
  2025. $ WRITE( NOUT, FMT = 9998 )I
  2026. 30 CONTINUE
  2027. IF( .NOT.SAME )THEN
  2028. FATAL = .TRUE.
  2029. GO TO 120
  2030. END IF
  2031. *
  2032. IF( .NOT.NULL )THEN
  2033. *
  2034. * Check the result column by column.
  2035. *
  2036. IF( INCX.GT.0 )THEN
  2037. DO 40 I = 1, N
  2038. Z( I ) = X( I )
  2039. 40 CONTINUE
  2040. ELSE
  2041. DO 50 I = 1, N
  2042. Z( I ) = X( N - I + 1 )
  2043. 50 CONTINUE
  2044. END IF
  2045. JA = 1
  2046. DO 60 J = 1, N
  2047. W( 1 ) = DCONJG( Z( J ) )
  2048. IF( UPPER )THEN
  2049. JJ = 1
  2050. LJ = J
  2051. ELSE
  2052. JJ = J
  2053. LJ = N - J + 1
  2054. END IF
  2055. CALL ZMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W,
  2056. $ 1, ONE, A( JJ, J ), 1, YT, G,
  2057. $ AA( JA ), EPS, ERR, FATAL, NOUT,
  2058. $ .TRUE. )
  2059. IF( FULL )THEN
  2060. IF( UPPER )THEN
  2061. JA = JA + LDA
  2062. ELSE
  2063. JA = JA + LDA + 1
  2064. END IF
  2065. ELSE
  2066. JA = JA + LJ
  2067. END IF
  2068. ERRMAX = MAX( ERRMAX, ERR )
  2069. * If got really bad answer, report and return.
  2070. IF( FATAL )
  2071. $ GO TO 110
  2072. 60 CONTINUE
  2073. ELSE
  2074. * Avoid repeating tests if N.le.0.
  2075. IF( N.LE.0 )
  2076. $ GO TO 100
  2077. END IF
  2078. *
  2079. 70 CONTINUE
  2080. *
  2081. 80 CONTINUE
  2082. *
  2083. 90 CONTINUE
  2084. *
  2085. 100 CONTINUE
  2086. *
  2087. * Report result.
  2088. *
  2089. IF( ERRMAX.LT.THRESH )THEN
  2090. WRITE( NOUT, FMT = 9999 )SNAME, NC
  2091. ELSE
  2092. WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
  2093. END IF
  2094. GO TO 130
  2095. *
  2096. 110 CONTINUE
  2097. WRITE( NOUT, FMT = 9995 )J
  2098. *
  2099. 120 CONTINUE
  2100. WRITE( NOUT, FMT = 9996 )SNAME
  2101. IF( FULL )THEN
  2102. WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, RALPHA, INCX, LDA
  2103. ELSE IF( PACKED )THEN
  2104. WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, RALPHA, INCX
  2105. END IF
  2106. *
  2107. 130 CONTINUE
  2108. RETURN
  2109. *
  2110. 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
  2111. $ 'S)' )
  2112. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  2113. $ 'ANGED INCORRECTLY *******' )
  2114. 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  2115. $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  2116. $ ' - SUSPECT *******' )
  2117. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  2118. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2119. 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
  2120. $ I2, ', AP) .' )
  2121. 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
  2122. $ I2, ', A,', I3, ') .' )
  2123. 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  2124. $ '******' )
  2125. *
  2126. * End of CZHK5.
  2127. *
  2128. END
  2129. SUBROUTINE ZCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  2130. $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
  2131. $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
  2132. $ Z, IORDER )
  2133. *
  2134. * Tests ZHER2 and ZHPR2.
  2135. *
  2136. * Auxiliary routine for test program for Level 2 Blas.
  2137. *
  2138. * -- Written on 10-August-1987.
  2139. * Richard Hanson, Sandia National Labs.
  2140. * Jeremy Du Croz, NAG Central Office.
  2141. *
  2142. * .. Parameters ..
  2143. COMPLEX*16 ZERO, HALF, ONE
  2144. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  2145. $ HALF = ( 0.5D0, 0.0D0 ),
  2146. $ ONE = ( 1.0D0, 0.0D0 ) )
  2147. DOUBLE PRECISION RZERO
  2148. PARAMETER ( RZERO = 0.0D0 )
  2149. * .. Scalar Arguments ..
  2150. DOUBLE PRECISION EPS, THRESH
  2151. INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
  2152. $ IORDER
  2153. LOGICAL FATAL, REWI, TRACE
  2154. CHARACTER*12 SNAME
  2155. * .. Array Arguments ..
  2156. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  2157. $ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
  2158. $ XX( NMAX*INCMAX ), Y( NMAX ),
  2159. $ YS( NMAX*INCMAX ), YT( NMAX ),
  2160. $ YY( NMAX*INCMAX ), Z( NMAX, 2 )
  2161. DOUBLE PRECISION G( NMAX )
  2162. INTEGER IDIM( NIDIM ), INC( NINC )
  2163. * .. Local Scalars ..
  2164. COMPLEX*16 ALPHA, ALS, TRANSL
  2165. DOUBLE PRECISION ERR, ERRMAX
  2166. INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX,
  2167. $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
  2168. $ NARGS, NC, NS
  2169. LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
  2170. CHARACTER*1 UPLO, UPLOS
  2171. CHARACTER*14 CUPLO
  2172. CHARACTER*2 ICH
  2173. * .. Local Arrays ..
  2174. COMPLEX*16 W( 2 )
  2175. LOGICAL ISAME( 13 )
  2176. * .. External Functions ..
  2177. LOGICAL LZE, LZERES
  2178. EXTERNAL LZE, LZERES
  2179. * .. External Subroutines ..
  2180. EXTERNAL CZHER2, CZHPR2, ZMAKE, ZMVCH
  2181. * .. Intrinsic Functions ..
  2182. INTRINSIC ABS, DCONJG, MAX
  2183. * .. Scalars in Common ..
  2184. INTEGER INFOT, NOUTC
  2185. LOGICAL OK
  2186. * .. Common blocks ..
  2187. COMMON /INFOC/INFOT, NOUTC, OK
  2188. * .. Data statements ..
  2189. DATA ICH/'UL'/
  2190. * .. Executable Statements ..
  2191. FULL = SNAME( 9: 9 ).EQ.'e'
  2192. PACKED = SNAME( 9: 9 ).EQ.'p'
  2193. * Define the number of arguments.
  2194. IF( FULL )THEN
  2195. NARGS = 9
  2196. ELSE IF( PACKED )THEN
  2197. NARGS = 8
  2198. END IF
  2199. *
  2200. NC = 0
  2201. RESET = .TRUE.
  2202. ERRMAX = RZERO
  2203. *
  2204. DO 140 IN = 1, NIDIM
  2205. N = IDIM( IN )
  2206. * Set LDA to 1 more than minimum value if room.
  2207. LDA = N
  2208. IF( LDA.LT.NMAX )
  2209. $ LDA = LDA + 1
  2210. * Skip tests if not enough room.
  2211. IF( LDA.GT.NMAX )
  2212. $ GO TO 140
  2213. IF( PACKED )THEN
  2214. LAA = ( N*( N + 1 ) )/2
  2215. ELSE
  2216. LAA = LDA*N
  2217. END IF
  2218. *
  2219. DO 130 IC = 1, 2
  2220. UPLO = ICH( IC: IC )
  2221. IF (UPLO.EQ.'U')THEN
  2222. CUPLO = ' CblasUpper'
  2223. ELSE
  2224. CUPLO = ' CblasLower'
  2225. END IF
  2226. UPPER = UPLO.EQ.'U'
  2227. *
  2228. DO 120 IX = 1, NINC
  2229. INCX = INC( IX )
  2230. LX = ABS( INCX )*N
  2231. *
  2232. * Generate the vector X.
  2233. *
  2234. TRANSL = HALF
  2235. CALL ZMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
  2236. $ 0, N - 1, RESET, TRANSL )
  2237. IF( N.GT.1 )THEN
  2238. X( N/2 ) = ZERO
  2239. XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
  2240. END IF
  2241. *
  2242. DO 110 IY = 1, NINC
  2243. INCY = INC( IY )
  2244. LY = ABS( INCY )*N
  2245. *
  2246. * Generate the vector Y.
  2247. *
  2248. TRANSL = ZERO
  2249. CALL ZMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
  2250. $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
  2251. IF( N.GT.1 )THEN
  2252. Y( N/2 ) = ZERO
  2253. YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
  2254. END IF
  2255. *
  2256. DO 100 IA = 1, NALF
  2257. ALPHA = ALF( IA )
  2258. NULL = N.LE.0.OR.ALPHA.EQ.ZERO
  2259. *
  2260. * Generate the matrix A.
  2261. *
  2262. TRANSL = ZERO
  2263. CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
  2264. $ NMAX, AA, LDA, N - 1, N - 1, RESET,
  2265. $ TRANSL )
  2266. *
  2267. NC = NC + 1
  2268. *
  2269. * Save every datum before calling the subroutine.
  2270. *
  2271. UPLOS = UPLO
  2272. NS = N
  2273. ALS = ALPHA
  2274. DO 10 I = 1, LAA
  2275. AS( I ) = AA( I )
  2276. 10 CONTINUE
  2277. LDAS = LDA
  2278. DO 20 I = 1, LX
  2279. XS( I ) = XX( I )
  2280. 20 CONTINUE
  2281. INCXS = INCX
  2282. DO 30 I = 1, LY
  2283. YS( I ) = YY( I )
  2284. 30 CONTINUE
  2285. INCYS = INCY
  2286. *
  2287. * Call the subroutine.
  2288. *
  2289. IF( FULL )THEN
  2290. IF( TRACE )
  2291. $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
  2292. $ ALPHA, INCX, INCY, LDA
  2293. IF( REWI )
  2294. $ REWIND NTRA
  2295. CALL CZHER2( IORDER, UPLO, N, ALPHA, XX, INCX,
  2296. $ YY, INCY, AA, LDA )
  2297. ELSE IF( PACKED )THEN
  2298. IF( TRACE )
  2299. $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
  2300. $ ALPHA, INCX, INCY
  2301. IF( REWI )
  2302. $ REWIND NTRA
  2303. CALL CZHPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
  2304. $ YY, INCY, AA )
  2305. END IF
  2306. *
  2307. * Check if error-exit was taken incorrectly.
  2308. *
  2309. IF( .NOT.OK )THEN
  2310. WRITE( NOUT, FMT = 9992 )
  2311. FATAL = .TRUE.
  2312. GO TO 160
  2313. END IF
  2314. *
  2315. * See what data changed inside subroutines.
  2316. *
  2317. ISAME( 1 ) = UPLO.EQ.UPLOS
  2318. ISAME( 2 ) = NS.EQ.N
  2319. ISAME( 3 ) = ALS.EQ.ALPHA
  2320. ISAME( 4 ) = LZE( XS, XX, LX )
  2321. ISAME( 5 ) = INCXS.EQ.INCX
  2322. ISAME( 6 ) = LZE( YS, YY, LY )
  2323. ISAME( 7 ) = INCYS.EQ.INCY
  2324. IF( NULL )THEN
  2325. ISAME( 8 ) = LZE( AS, AA, LAA )
  2326. ELSE
  2327. ISAME( 8 ) = LZERES( SNAME( 8: 9 ), UPLO, N, N,
  2328. $ AS, AA, LDA )
  2329. END IF
  2330. IF( .NOT.PACKED )THEN
  2331. ISAME( 9 ) = LDAS.EQ.LDA
  2332. END IF
  2333. *
  2334. * If data was incorrectly changed, report and return.
  2335. *
  2336. SAME = .TRUE.
  2337. DO 40 I = 1, NARGS
  2338. SAME = SAME.AND.ISAME( I )
  2339. IF( .NOT.ISAME( I ) )
  2340. $ WRITE( NOUT, FMT = 9998 )I
  2341. 40 CONTINUE
  2342. IF( .NOT.SAME )THEN
  2343. FATAL = .TRUE.
  2344. GO TO 160
  2345. END IF
  2346. *
  2347. IF( .NOT.NULL )THEN
  2348. *
  2349. * Check the result column by column.
  2350. *
  2351. IF( INCX.GT.0 )THEN
  2352. DO 50 I = 1, N
  2353. Z( I, 1 ) = X( I )
  2354. 50 CONTINUE
  2355. ELSE
  2356. DO 60 I = 1, N
  2357. Z( I, 1 ) = X( N - I + 1 )
  2358. 60 CONTINUE
  2359. END IF
  2360. IF( INCY.GT.0 )THEN
  2361. DO 70 I = 1, N
  2362. Z( I, 2 ) = Y( I )
  2363. 70 CONTINUE
  2364. ELSE
  2365. DO 80 I = 1, N
  2366. Z( I, 2 ) = Y( N - I + 1 )
  2367. 80 CONTINUE
  2368. END IF
  2369. JA = 1
  2370. DO 90 J = 1, N
  2371. W( 1 ) = ALPHA*DCONJG( Z( J, 2 ) )
  2372. W( 2 ) = DCONJG( ALPHA )*DCONJG( Z( J, 1 ) )
  2373. IF( UPPER )THEN
  2374. JJ = 1
  2375. LJ = J
  2376. ELSE
  2377. JJ = J
  2378. LJ = N - J + 1
  2379. END IF
  2380. CALL ZMVCH( 'N', LJ, 2, ONE, Z( JJ, 1 ),
  2381. $ NMAX, W, 1, ONE, A( JJ, J ), 1,
  2382. $ YT, G, AA( JA ), EPS, ERR, FATAL,
  2383. $ NOUT, .TRUE. )
  2384. IF( FULL )THEN
  2385. IF( UPPER )THEN
  2386. JA = JA + LDA
  2387. ELSE
  2388. JA = JA + LDA + 1
  2389. END IF
  2390. ELSE
  2391. JA = JA + LJ
  2392. END IF
  2393. ERRMAX = MAX( ERRMAX, ERR )
  2394. * If got really bad answer, report and return.
  2395. IF( FATAL )
  2396. $ GO TO 150
  2397. 90 CONTINUE
  2398. ELSE
  2399. * Avoid repeating tests with N.le.0.
  2400. IF( N.LE.0 )
  2401. $ GO TO 140
  2402. END IF
  2403. *
  2404. 100 CONTINUE
  2405. *
  2406. 110 CONTINUE
  2407. *
  2408. 120 CONTINUE
  2409. *
  2410. 130 CONTINUE
  2411. *
  2412. 140 CONTINUE
  2413. *
  2414. * Report result.
  2415. *
  2416. IF( ERRMAX.LT.THRESH )THEN
  2417. WRITE( NOUT, FMT = 9999 )SNAME, NC
  2418. ELSE
  2419. WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
  2420. END IF
  2421. GO TO 170
  2422. *
  2423. 150 CONTINUE
  2424. WRITE( NOUT, FMT = 9995 )J
  2425. *
  2426. 160 CONTINUE
  2427. WRITE( NOUT, FMT = 9996 )SNAME
  2428. IF( FULL )THEN
  2429. WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
  2430. $ INCY, LDA
  2431. ELSE IF( PACKED )THEN
  2432. WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
  2433. END IF
  2434. *
  2435. 170 CONTINUE
  2436. RETURN
  2437. *
  2438. 9999 FORMAT(' ',A12, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
  2439. $ 'S)' )
  2440. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  2441. $ 'ANGED INCORRECTLY *******' )
  2442. 9997 FORMAT(' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  2443. $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  2444. $ ' - SUSPECT *******' )
  2445. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  2446. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2447. 9994 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
  2448. $ F4.1, '), X,', I2, ', Y,', I2, ', AP) .' )
  2449. 9993 FORMAT(1X, I6, ': ',A12, '(', A14, ',', I3, ',(', F4.1, ',',
  2450. $ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') .' )
  2451. 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  2452. $ '******' )
  2453. *
  2454. * End of ZCHK6.
  2455. *
  2456. END
  2457. SUBROUTINE ZMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
  2458. $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
  2459. *
  2460. * Checks the results of the computational tests.
  2461. *
  2462. * Auxiliary routine for test program for Level 2 Blas.
  2463. *
  2464. * -- Written on 10-August-1987.
  2465. * Richard Hanson, Sandia National Labs.
  2466. * Jeremy Du Croz, NAG Central Office.
  2467. *
  2468. * .. Parameters ..
  2469. COMPLEX*16 ZERO
  2470. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
  2471. DOUBLE PRECISION RZERO, RONE
  2472. PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
  2473. * .. Scalar Arguments ..
  2474. COMPLEX*16 ALPHA, BETA
  2475. DOUBLE PRECISION EPS, ERR
  2476. INTEGER INCX, INCY, M, N, NMAX, NOUT
  2477. LOGICAL FATAL, MV
  2478. CHARACTER*1 TRANS
  2479. * .. Array Arguments ..
  2480. COMPLEX*16 A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
  2481. DOUBLE PRECISION G( * )
  2482. * .. Local Scalars ..
  2483. COMPLEX*16 C
  2484. DOUBLE PRECISION ERRI
  2485. INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
  2486. LOGICAL CTRAN, TRAN
  2487. * .. Intrinsic Functions ..
  2488. INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT
  2489. * .. Statement Functions ..
  2490. DOUBLE PRECISION ABS1
  2491. * .. Statement Function definitions ..
  2492. ABS1( C ) = ABS( DBLE( C ) ) + ABS( DIMAG( C ) )
  2493. * .. Executable Statements ..
  2494. TRAN = TRANS.EQ.'T'
  2495. CTRAN = TRANS.EQ.'C'
  2496. IF( TRAN.OR.CTRAN )THEN
  2497. ML = N
  2498. NL = M
  2499. ELSE
  2500. ML = M
  2501. NL = N
  2502. END IF
  2503. IF( INCX.LT.0 )THEN
  2504. KX = NL
  2505. INCXL = -1
  2506. ELSE
  2507. KX = 1
  2508. INCXL = 1
  2509. END IF
  2510. IF( INCY.LT.0 )THEN
  2511. KY = ML
  2512. INCYL = -1
  2513. ELSE
  2514. KY = 1
  2515. INCYL = 1
  2516. END IF
  2517. *
  2518. * Compute expected result in YT using data in A, X and Y.
  2519. * Compute gauges in G.
  2520. *
  2521. IY = KY
  2522. DO 40 I = 1, ML
  2523. YT( IY ) = ZERO
  2524. G( IY ) = RZERO
  2525. JX = KX
  2526. IF( TRAN )THEN
  2527. DO 10 J = 1, NL
  2528. YT( IY ) = YT( IY ) + A( J, I )*X( JX )
  2529. G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
  2530. JX = JX + INCXL
  2531. 10 CONTINUE
  2532. ELSE IF( CTRAN )THEN
  2533. DO 20 J = 1, NL
  2534. YT( IY ) = YT( IY ) + DCONJG( A( J, I ) )*X( JX )
  2535. G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
  2536. JX = JX + INCXL
  2537. 20 CONTINUE
  2538. ELSE
  2539. DO 30 J = 1, NL
  2540. YT( IY ) = YT( IY ) + A( I, J )*X( JX )
  2541. G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
  2542. JX = JX + INCXL
  2543. 30 CONTINUE
  2544. END IF
  2545. YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
  2546. G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) )
  2547. IY = IY + INCYL
  2548. 40 CONTINUE
  2549. *
  2550. * Compute the error ratio for this result.
  2551. *
  2552. ERR = ZERO
  2553. DO 50 I = 1, ML
  2554. ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
  2555. IF( G( I ).NE.RZERO )
  2556. $ ERRI = ERRI/G( I )
  2557. ERR = MAX( ERR, ERRI )
  2558. IF( ERR*SQRT( EPS ).GE.RONE )
  2559. $ GO TO 60
  2560. 50 CONTINUE
  2561. * If the loop completes, all results are at least half accurate.
  2562. GO TO 80
  2563. *
  2564. * Report fatal error.
  2565. *
  2566. 60 FATAL = .TRUE.
  2567. WRITE( NOUT, FMT = 9999 )
  2568. DO 70 I = 1, ML
  2569. IF( MV )THEN
  2570. WRITE( NOUT, FMT = 9998 )I, YT( I ),
  2571. $ YY( 1 + ( I - 1 )*ABS( INCY ) )
  2572. ELSE
  2573. WRITE( NOUT, FMT = 9998 )I,
  2574. $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT( I )
  2575. END IF
  2576. 70 CONTINUE
  2577. *
  2578. 80 CONTINUE
  2579. RETURN
  2580. *
  2581. 9999 FORMAT(' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
  2582. $ 'F ACCURATE *******', /' EXPECTED RE',
  2583. $ 'SULT COMPUTED RESULT' )
  2584. 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
  2585. *
  2586. * End of ZMVCH.
  2587. *
  2588. END
  2589. LOGICAL FUNCTION LZE( RI, RJ, LR )
  2590. *
  2591. * Tests if two arrays are identical.
  2592. *
  2593. * Auxiliary routine for test program for Level 2 Blas.
  2594. *
  2595. * -- Written on 10-August-1987.
  2596. * Richard Hanson, Sandia National Labs.
  2597. * Jeremy Du Croz, NAG Central Office.
  2598. *
  2599. * .. Scalar Arguments ..
  2600. INTEGER LR
  2601. * .. Array Arguments ..
  2602. COMPLEX*16 RI( * ), RJ( * )
  2603. * .. Local Scalars ..
  2604. INTEGER I
  2605. * .. Executable Statements ..
  2606. DO 10 I = 1, LR
  2607. IF( RI( I ).NE.RJ( I ) )
  2608. $ GO TO 20
  2609. 10 CONTINUE
  2610. LZE = .TRUE.
  2611. GO TO 30
  2612. 20 CONTINUE
  2613. LZE = .FALSE.
  2614. 30 RETURN
  2615. *
  2616. * End of LZE.
  2617. *
  2618. END
  2619. LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
  2620. *
  2621. * Tests if selected elements in two arrays are equal.
  2622. *
  2623. * TYPE is 'ge', 'he' or 'hp'.
  2624. *
  2625. * Auxiliary routine for test program for Level 2 Blas.
  2626. *
  2627. * -- Written on 10-August-1987.
  2628. * Richard Hanson, Sandia National Labs.
  2629. * Jeremy Du Croz, NAG Central Office.
  2630. *
  2631. * .. Scalar Arguments ..
  2632. INTEGER LDA, M, N
  2633. CHARACTER*1 UPLO
  2634. CHARACTER*2 TYPE
  2635. * .. Array Arguments ..
  2636. COMPLEX*16 AA( LDA, * ), AS( LDA, * )
  2637. * .. Local Scalars ..
  2638. INTEGER I, IBEG, IEND, J
  2639. LOGICAL UPPER
  2640. * .. Executable Statements ..
  2641. UPPER = UPLO.EQ.'U'
  2642. IF( TYPE.EQ.'ge' )THEN
  2643. DO 20 J = 1, N
  2644. DO 10 I = M + 1, LDA
  2645. IF( AA( I, J ).NE.AS( I, J ) )
  2646. $ GO TO 70
  2647. 10 CONTINUE
  2648. 20 CONTINUE
  2649. ELSE IF( TYPE.EQ.'he' )THEN
  2650. DO 50 J = 1, N
  2651. IF( UPPER )THEN
  2652. IBEG = 1
  2653. IEND = J
  2654. ELSE
  2655. IBEG = J
  2656. IEND = N
  2657. END IF
  2658. DO 30 I = 1, IBEG - 1
  2659. IF( AA( I, J ).NE.AS( I, J ) )
  2660. $ GO TO 70
  2661. 30 CONTINUE
  2662. DO 40 I = IEND + 1, LDA
  2663. IF( AA( I, J ).NE.AS( I, J ) )
  2664. $ GO TO 70
  2665. 40 CONTINUE
  2666. 50 CONTINUE
  2667. END IF
  2668. *
  2669. 60 CONTINUE
  2670. LZERES = .TRUE.
  2671. GO TO 80
  2672. 70 CONTINUE
  2673. LZERES = .FALSE.
  2674. 80 RETURN
  2675. *
  2676. * End of LZERES.
  2677. *
  2678. END
  2679. COMPLEX*16 FUNCTION ZBEG( RESET )
  2680. *
  2681. * Generates complex numbers as pairs of random numbers uniformly
  2682. * distributed between -0.5 and 0.5.
  2683. *
  2684. * Auxiliary routine for test program for Level 2 Blas.
  2685. *
  2686. * -- Written on 10-August-1987.
  2687. * Richard Hanson, Sandia National Labs.
  2688. * Jeremy Du Croz, NAG Central Office.
  2689. *
  2690. * .. Scalar Arguments ..
  2691. LOGICAL RESET
  2692. * .. Local Scalars ..
  2693. INTEGER I, IC, J, MI, MJ
  2694. * .. Save statement ..
  2695. SAVE I, IC, J, MI, MJ
  2696. * .. Intrinsic Functions ..
  2697. INTRINSIC DCMPLX
  2698. * .. Executable Statements ..
  2699. IF( RESET )THEN
  2700. * Initialize local variables.
  2701. MI = 891
  2702. MJ = 457
  2703. I = 7
  2704. J = 7
  2705. IC = 0
  2706. RESET = .FALSE.
  2707. END IF
  2708. *
  2709. * The sequence of values of I or J is bounded between 1 and 999.
  2710. * If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
  2711. * If initial I or J = 4 or 8, the period will be 25.
  2712. * If initial I or J = 5, the period will be 10.
  2713. * IC is used to break up the period by skipping 1 value of I or J
  2714. * in 6.
  2715. *
  2716. IC = IC + 1
  2717. 10 I = I*MI
  2718. J = J*MJ
  2719. I = I - 1000*( I/1000 )
  2720. J = J - 1000*( J/1000 )
  2721. IF( IC.GE.5 )THEN
  2722. IC = 0
  2723. GO TO 10
  2724. END IF
  2725. ZBEG = DCMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 )
  2726. RETURN
  2727. *
  2728. * End of ZBEG.
  2729. *
  2730. END
  2731. DOUBLE PRECISION FUNCTION DDIFF( X, Y )
  2732. *
  2733. * Auxiliary routine for test program for Level 2 Blas.
  2734. *
  2735. * -- Written on 10-August-1987.
  2736. * Richard Hanson, Sandia National Labs.
  2737. *
  2738. * .. Scalar Arguments ..
  2739. DOUBLE PRECISION X, Y
  2740. * .. Executable Statements ..
  2741. DDIFF = X - Y
  2742. RETURN
  2743. *
  2744. * End of DDIFF.
  2745. *
  2746. END
  2747. SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
  2748. $ KU, RESET, TRANSL )
  2749. *
  2750. * Generates values for an M by N matrix A within the bandwidth
  2751. * defined by KL and KU.
  2752. * Stores the values in the array AA in the data structure required
  2753. * by the routine, with unwanted elements set to rogue value.
  2754. *
  2755. * TYPE is 'ge', 'gb', 'he', 'hb', 'hp', 'tr', 'tb' OR 'tp'.
  2756. *
  2757. * Auxiliary routine for test program for Level 2 Blas.
  2758. *
  2759. * -- Written on 10-August-1987.
  2760. * Richard Hanson, Sandia National Labs.
  2761. * Jeremy Du Croz, NAG Central Office.
  2762. *
  2763. * .. Parameters ..
  2764. COMPLEX*16 ZERO, ONE
  2765. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  2766. $ ONE = ( 1.0D0, 0.0D0 ) )
  2767. COMPLEX*16 ROGUE
  2768. PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
  2769. DOUBLE PRECISION RZERO
  2770. PARAMETER ( RZERO = 0.0D0 )
  2771. DOUBLE PRECISION RROGUE
  2772. PARAMETER ( RROGUE = -1.0D10 )
  2773. * .. Scalar Arguments ..
  2774. COMPLEX*16 TRANSL
  2775. INTEGER KL, KU, LDA, M, N, NMAX
  2776. LOGICAL RESET
  2777. CHARACTER*1 DIAG, UPLO
  2778. CHARACTER*2 TYPE
  2779. * .. Array Arguments ..
  2780. COMPLEX*16 A( NMAX, * ), AA( * )
  2781. * .. Local Scalars ..
  2782. INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK
  2783. LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
  2784. * .. External Functions ..
  2785. COMPLEX*16 ZBEG
  2786. EXTERNAL ZBEG
  2787. * .. Intrinsic Functions ..
  2788. INTRINSIC DCMPLX, DCONJG, MAX, MIN, DBLE
  2789. * .. Executable Statements ..
  2790. GEN = TYPE( 1: 1 ).EQ.'g'
  2791. SYM = TYPE( 1: 1 ).EQ.'h'
  2792. TRI = TYPE( 1: 1 ).EQ.'t'
  2793. UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
  2794. LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
  2795. UNIT = TRI.AND.DIAG.EQ.'U'
  2796. *
  2797. * Generate data in array A.
  2798. *
  2799. DO 20 J = 1, N
  2800. DO 10 I = 1, M
  2801. IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
  2802. $ THEN
  2803. IF( ( I.LE.J.AND.J - I.LE.KU ).OR.
  2804. $ ( I.GE.J.AND.I - J.LE.KL ) )THEN
  2805. A( I, J ) = ZBEG( RESET ) + TRANSL
  2806. ELSE
  2807. A( I, J ) = ZERO
  2808. END IF
  2809. IF( I.NE.J )THEN
  2810. IF( SYM )THEN
  2811. A( J, I ) = DCONJG( A( I, J ) )
  2812. ELSE IF( TRI )THEN
  2813. A( J, I ) = ZERO
  2814. END IF
  2815. END IF
  2816. END IF
  2817. 10 CONTINUE
  2818. IF( SYM )
  2819. $ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
  2820. IF( TRI )
  2821. $ A( J, J ) = A( J, J ) + ONE
  2822. IF( UNIT )
  2823. $ A( J, J ) = ONE
  2824. 20 CONTINUE
  2825. *
  2826. * Store elements in array AS in data structure required by routine.
  2827. *
  2828. IF( TYPE.EQ.'ge' )THEN
  2829. DO 50 J = 1, N
  2830. DO 30 I = 1, M
  2831. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2832. 30 CONTINUE
  2833. DO 40 I = M + 1, LDA
  2834. AA( I + ( J - 1 )*LDA ) = ROGUE
  2835. 40 CONTINUE
  2836. 50 CONTINUE
  2837. ELSE IF( TYPE.EQ.'gb' )THEN
  2838. DO 90 J = 1, N
  2839. DO 60 I1 = 1, KU + 1 - J
  2840. AA( I1 + ( J - 1 )*LDA ) = ROGUE
  2841. 60 CONTINUE
  2842. DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
  2843. AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J )
  2844. 70 CONTINUE
  2845. DO 80 I3 = I2, LDA
  2846. AA( I3 + ( J - 1 )*LDA ) = ROGUE
  2847. 80 CONTINUE
  2848. 90 CONTINUE
  2849. ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'tr' )THEN
  2850. DO 130 J = 1, N
  2851. IF( UPPER )THEN
  2852. IBEG = 1
  2853. IF( UNIT )THEN
  2854. IEND = J - 1
  2855. ELSE
  2856. IEND = J
  2857. END IF
  2858. ELSE
  2859. IF( UNIT )THEN
  2860. IBEG = J + 1
  2861. ELSE
  2862. IBEG = J
  2863. END IF
  2864. IEND = N
  2865. END IF
  2866. DO 100 I = 1, IBEG - 1
  2867. AA( I + ( J - 1 )*LDA ) = ROGUE
  2868. 100 CONTINUE
  2869. DO 110 I = IBEG, IEND
  2870. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2871. 110 CONTINUE
  2872. DO 120 I = IEND + 1, LDA
  2873. AA( I + ( J - 1 )*LDA ) = ROGUE
  2874. 120 CONTINUE
  2875. IF( SYM )THEN
  2876. JJ = J + ( J - 1 )*LDA
  2877. AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
  2878. END IF
  2879. 130 CONTINUE
  2880. ELSE IF( TYPE.EQ.'hb'.OR.TYPE.EQ.'tb' )THEN
  2881. DO 170 J = 1, N
  2882. IF( UPPER )THEN
  2883. KK = KL + 1
  2884. IBEG = MAX( 1, KL + 2 - J )
  2885. IF( UNIT )THEN
  2886. IEND = KL
  2887. ELSE
  2888. IEND = KL + 1
  2889. END IF
  2890. ELSE
  2891. KK = 1
  2892. IF( UNIT )THEN
  2893. IBEG = 2
  2894. ELSE
  2895. IBEG = 1
  2896. END IF
  2897. IEND = MIN( KL + 1, 1 + M - J )
  2898. END IF
  2899. DO 140 I = 1, IBEG - 1
  2900. AA( I + ( J - 1 )*LDA ) = ROGUE
  2901. 140 CONTINUE
  2902. DO 150 I = IBEG, IEND
  2903. AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
  2904. 150 CONTINUE
  2905. DO 160 I = IEND + 1, LDA
  2906. AA( I + ( J - 1 )*LDA ) = ROGUE
  2907. 160 CONTINUE
  2908. IF( SYM )THEN
  2909. JJ = KK + ( J - 1 )*LDA
  2910. AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
  2911. END IF
  2912. 170 CONTINUE
  2913. ELSE IF( TYPE.EQ.'hp'.OR.TYPE.EQ.'tp' )THEN
  2914. IOFF = 0
  2915. DO 190 J = 1, N
  2916. IF( UPPER )THEN
  2917. IBEG = 1
  2918. IEND = J
  2919. ELSE
  2920. IBEG = J
  2921. IEND = N
  2922. END IF
  2923. DO 180 I = IBEG, IEND
  2924. IOFF = IOFF + 1
  2925. AA( IOFF ) = A( I, J )
  2926. IF( I.EQ.J )THEN
  2927. IF( UNIT )
  2928. $ AA( IOFF ) = ROGUE
  2929. IF( SYM )
  2930. $ AA( IOFF ) = DCMPLX( DBLE( AA( IOFF ) ), RROGUE )
  2931. END IF
  2932. 180 CONTINUE
  2933. 190 CONTINUE
  2934. END IF
  2935. RETURN
  2936. *
  2937. * End of ZMAKE.
  2938. *
  2939. END