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c_zblat3_3m.f 101 kB

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  1. PROGRAM ZBLAT3
  2. *
  3. * Test program for the COMPLEX*16 Level 3 Blas.
  4. *
  5. * The program must be driven by a short data file. The first 13 records
  6. * of the file are read using list-directed input, the last 9 records
  7. * are read using the format ( A13,L2 ). An annotated example of a data
  8. * file can be obtained by deleting the first 3 characters from the
  9. * following 22 lines:
  10. * 'CBLAT3.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 CALL ABORT 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. * 3 NUMBER OF VALUES OF ALPHA
  20. * (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA
  21. * 3 NUMBER OF VALUES OF BETA
  22. * (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA
  23. * ZGEMM T PUT F FOR NO TEST. SAME COLUMNS.
  24. * ZHEMM T PUT F FOR NO TEST. SAME COLUMNS.
  25. * ZSYMM T PUT F FOR NO TEST. SAME COLUMNS.
  26. * ZTRMM T PUT F FOR NO TEST. SAME COLUMNS.
  27. * ZTRSM T PUT F FOR NO TEST. SAME COLUMNS.
  28. * ZHERK T PUT F FOR NO TEST. SAME COLUMNS.
  29. * ZSYRK T PUT F FOR NO TEST. SAME COLUMNS.
  30. * ZHER2K T PUT F FOR NO TEST. SAME COLUMNS.
  31. * ZSYR2K T PUT F FOR NO TEST. SAME COLUMNS.
  32. *
  33. * See:
  34. *
  35. * Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S.
  36. * A Set of Level 3 Basic Linear Algebra Subprograms.
  37. *
  38. * Technical Memorandum No.88 (Revision 1), Mathematics and
  39. * Computer Science Division, Argonne National Laboratory, 9700
  40. * South Cass Avenue, Argonne, Illinois 60439, US.
  41. *
  42. * -- Written on 8-February-1989.
  43. * Jack Dongarra, Argonne National Laboratory.
  44. * Iain Duff, AERE Harwell.
  45. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  46. * Sven Hammarling, Numerical Algorithms Group Ltd.
  47. *
  48. * .. Parameters ..
  49. INTEGER NIN, NOUT
  50. PARAMETER ( NIN = 5, NOUT = 6 )
  51. INTEGER NSUBS
  52. PARAMETER ( NSUBS = 9 )
  53. COMPLEX*16 ZERO, ONE
  54. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  55. $ ONE = ( 1.0D0, 0.0D0 ) )
  56. DOUBLE PRECISION RZERO, RHALF, RONE
  57. PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 1.0D0 )
  58. INTEGER NMAX
  59. PARAMETER ( NMAX = 65 )
  60. INTEGER NIDMAX, NALMAX, NBEMAX
  61. PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 )
  62. * .. Local Scalars ..
  63. DOUBLE PRECISION EPS, ERR, THRESH
  64. INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NTRA,
  65. $ LAYOUT
  66. LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
  67. $ TSTERR, CORDER, RORDER
  68. CHARACTER*1 TRANSA, TRANSB
  69. CHARACTER*13 SNAMET
  70. CHARACTER*32 SNAPS
  71. * .. Local Arrays ..
  72. COMPLEX*16 AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ),
  73. $ ALF( NALMAX ), AS( NMAX*NMAX ),
  74. $ BB( NMAX*NMAX ), BET( NBEMAX ),
  75. $ BS( NMAX*NMAX ), C( NMAX, NMAX ),
  76. $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
  77. $ W( 2*NMAX )
  78. DOUBLE PRECISION G( NMAX )
  79. INTEGER IDIM( NIDMAX )
  80. LOGICAL LTEST( NSUBS )
  81. CHARACTER*13 SNAMES( NSUBS )
  82. * .. External Functions ..
  83. DOUBLE PRECISION DDIFF
  84. LOGICAL LZE
  85. EXTERNAL DDIFF, LZE
  86. * .. External Subroutines ..
  87. EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5,ZMMCH
  88. * .. Intrinsic Functions ..
  89. INTRINSIC MAX, MIN
  90. * .. Scalars in Common ..
  91. INTEGER INFOT, NOUTC
  92. LOGICAL LERR, OK
  93. CHARACTER*13 SRNAMT
  94. * .. Common blocks ..
  95. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  96. COMMON /SRNAMC/SRNAMT
  97. * .. Data statements ..
  98. DATA SNAMES/'cblas_zgemm3m ', 'cblas_zhemm ',
  99. $ 'cblas_zsymm ', 'cblas_ztrmm ', 'cblas_ztrsm ',
  100. $ 'cblas_zherk ', 'cblas_zsyrk ', 'cblas_zher2k',
  101. $ 'cblas_zsyr2k'/
  102. * .. Executable Statements ..
  103. *
  104. NOUTC = NOUT
  105. *
  106. * Read name and unit number for snapshot output file and open file.
  107. *
  108. READ( NIN, FMT = * )SNAPS
  109. READ( NIN, FMT = * )NTRA
  110. TRACE = NTRA.GE.0
  111. IF( TRACE )THEN
  112. OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' )
  113. END IF
  114. * Read the flag that directs rewinding of the snapshot file.
  115. READ( NIN, FMT = * )REWI
  116. REWI = REWI.AND.TRACE
  117. * Read the flag that directs stopping on any failure.
  118. READ( NIN, FMT = * )SFATAL
  119. * Read the flag that indicates whether error exits are to be tested.
  120. READ( NIN, FMT = * )TSTERR
  121. * Read the flag that indicates whether row-major data layout to be tested.
  122. READ( NIN, FMT = * )LAYOUT
  123. * Read the threshold value of the test ratio
  124. READ( NIN, FMT = * )THRESH
  125. *
  126. * Read and check the parameter values for the tests.
  127. *
  128. * Values of N
  129. READ( NIN, FMT = * )NIDIM
  130. IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
  131. WRITE( NOUT, FMT = 9997 )'N', NIDMAX
  132. GO TO 220
  133. END IF
  134. READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
  135. DO 10 I = 1, NIDIM
  136. IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
  137. WRITE( NOUT, FMT = 9996 )NMAX
  138. GO TO 220
  139. END IF
  140. 10 CONTINUE
  141. * Values of ALPHA
  142. READ( NIN, FMT = * )NALF
  143. IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
  144. WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
  145. GO TO 220
  146. END IF
  147. READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
  148. * Values of BETA
  149. READ( NIN, FMT = * )NBET
  150. IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
  151. WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
  152. GO TO 220
  153. END IF
  154. READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
  155. *
  156. * Report values of parameters.
  157. *
  158. WRITE( NOUT, FMT = 9995 )
  159. WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM )
  160. WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF )
  161. WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET )
  162. IF( .NOT.TSTERR )THEN
  163. WRITE( NOUT, FMT = * )
  164. WRITE( NOUT, FMT = 9984 )
  165. END IF
  166. WRITE( NOUT, FMT = * )
  167. WRITE( NOUT, FMT = 9999 )THRESH
  168. WRITE( NOUT, FMT = * )
  169. RORDER = .FALSE.
  170. CORDER = .FALSE.
  171. IF (LAYOUT.EQ.2) THEN
  172. RORDER = .TRUE.
  173. CORDER = .TRUE.
  174. WRITE( *, FMT = 10002 )
  175. ELSE IF (LAYOUT.EQ.1) THEN
  176. RORDER = .TRUE.
  177. WRITE( *, FMT = 10001 )
  178. ELSE IF (LAYOUT.EQ.0) THEN
  179. CORDER = .TRUE.
  180. WRITE( *, FMT = 10000 )
  181. END IF
  182. WRITE( *, FMT = * )
  183. *
  184. * Read names of subroutines and flags which indicate
  185. * whether they are to be tested.
  186. *
  187. DO 20 I = 1, NSUBS
  188. LTEST( I ) = .FALSE.
  189. 20 CONTINUE
  190. 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT
  191. DO 40 I = 1, NSUBS
  192. IF( SNAMET.EQ.SNAMES( I ) )
  193. $ GO TO 50
  194. 40 CONTINUE
  195. WRITE( NOUT, FMT = 9990 )SNAMET
  196. CALL ABORT
  197. 50 LTEST( I ) = LTESTT
  198. GO TO 30
  199. *
  200. 60 CONTINUE
  201. CLOSE ( NIN )
  202. *
  203. * Compute EPS (the machine precision).
  204. *
  205. EPS = RONE
  206. 70 CONTINUE
  207. IF( DDIFF( RONE + EPS, RONE ).EQ.RZERO )
  208. $ GO TO 80
  209. EPS = RHALF*EPS
  210. GO TO 70
  211. 80 CONTINUE
  212. EPS = EPS + EPS
  213. WRITE( NOUT, FMT = 9998 )EPS
  214. *
  215. * Check the reliability of ZMMCH using exact data.
  216. *
  217. N = MIN( 32, NMAX )
  218. DO 100 J = 1, N
  219. DO 90 I = 1, N
  220. AB( I, J ) = MAX( I - J + 1, 0 )
  221. 90 CONTINUE
  222. AB( J, NMAX + 1 ) = J
  223. AB( 1, NMAX + J ) = J
  224. C( J, 1 ) = ZERO
  225. 100 CONTINUE
  226. DO 110 J = 1, N
  227. CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
  228. 110 CONTINUE
  229. * CC holds the exact result. On exit from ZMMCH CT holds
  230. * the result computed by ZMMCH.
  231. TRANSA = 'N'
  232. TRANSB = 'N'
  233. CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  234. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  235. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  236. SAME = LZE( CC, CT, N )
  237. IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
  238. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  239. CALL ABORT
  240. END IF
  241. TRANSB = 'C'
  242. CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  243. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  244. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  245. SAME = LZE( CC, CT, N )
  246. IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
  247. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  248. CALL ABORT
  249. END IF
  250. DO 120 J = 1, N
  251. AB( J, NMAX + 1 ) = N - J + 1
  252. AB( 1, NMAX + J ) = N - J + 1
  253. 120 CONTINUE
  254. DO 130 J = 1, N
  255. CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 -
  256. $ ( ( J + 1 )*J*( J - 1 ) )/3
  257. 130 CONTINUE
  258. TRANSA = 'C'
  259. TRANSB = 'N'
  260. CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  261. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  262. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  263. SAME = LZE( CC, CT, N )
  264. IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
  265. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  266. CALL ABORT
  267. END IF
  268. TRANSB = 'C'
  269. CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  270. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  271. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  272. SAME = LZE( CC, CT, N )
  273. IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN
  274. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  275. CALL ABORT
  276. END IF
  277. *
  278. * Test each subroutine in turn.
  279. *
  280. DO 200 ISNUM = 1, NSUBS
  281. WRITE( NOUT, FMT = * )
  282. IF( .NOT.LTEST( ISNUM ) )THEN
  283. * Subprogram is not to be tested.
  284. WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM )
  285. ELSE
  286. SRNAMT = SNAMES( ISNUM )
  287. * Test error exits.
  288. IF( TSTERR )THEN
  289. CALL CZ3CHKE( SNAMES( ISNUM ) )
  290. WRITE( NOUT, FMT = * )
  291. END IF
  292. * Test computations.
  293. INFOT = 0
  294. OK = .TRUE.
  295. FATAL = .FALSE.
  296. GO TO ( 140, 150, 150, 160, 160, 170, 170,
  297. $ 180, 180 )ISNUM
  298. * Test ZGEMM, 01.
  299. 140 IF (CORDER) THEN
  300. CALL ZCHK1(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  301. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  302. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  303. $ CC, CS, CT, G, 0 )
  304. END IF
  305. IF (RORDER) THEN
  306. CALL ZCHK1(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  307. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  308. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  309. $ CC, CS, CT, G, 1 )
  310. END IF
  311. GO TO 190
  312. * Test ZHEMM, 02, ZSYMM, 03.
  313. 150 IF (CORDER) THEN
  314. CALL ZCHK2(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  315. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  316. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  317. $ CC, CS, CT, G, 0 )
  318. END IF
  319. IF (RORDER) THEN
  320. CALL ZCHK2(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  321. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  322. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  323. $ CC, CS, CT, G, 1 )
  324. END IF
  325. GO TO 190
  326. * Test ZTRMM, 04, ZTRSM, 05.
  327. 160 IF (CORDER) THEN
  328. CALL ZCHK3(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  329. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
  330. $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C,
  331. $ 0 )
  332. END IF
  333. IF (RORDER) THEN
  334. CALL ZCHK3(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  335. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
  336. $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C,
  337. $ 1 )
  338. END IF
  339. GO TO 190
  340. * Test ZHERK, 06, ZSYRK, 07.
  341. 170 IF (CORDER) THEN
  342. CALL ZCHK4(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  343. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  344. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  345. $ CC, CS, CT, G, 0 )
  346. END IF
  347. IF (RORDER) THEN
  348. CALL ZCHK4(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  349. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  350. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  351. $ CC, CS, CT, G, 1 )
  352. END IF
  353. GO TO 190
  354. * Test ZHER2K, 08, ZSYR2K, 09.
  355. 180 IF (CORDER) THEN
  356. CALL ZCHK5(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  357. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  358. $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  359. $ 0 )
  360. END IF
  361. IF (RORDER) THEN
  362. CALL ZCHK5(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  363. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  364. $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  365. $ 1 )
  366. END IF
  367. GO TO 190
  368. *
  369. 190 IF( FATAL.AND.SFATAL )
  370. $ GO TO 210
  371. END IF
  372. 200 CONTINUE
  373. WRITE( NOUT, FMT = 9986 )
  374. GO TO 230
  375. *
  376. 210 CONTINUE
  377. WRITE( NOUT, FMT = 9985 )
  378. GO TO 230
  379. *
  380. 220 CONTINUE
  381. WRITE( NOUT, FMT = 9991 )
  382. *
  383. 230 CONTINUE
  384. IF( TRACE )
  385. $ CLOSE ( NTRA )
  386. CLOSE ( NOUT )
  387. IF( FATAL ) THEN
  388. CALL ABORT
  389. END IF
  390. *
  391. 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
  392. 10001 FORMAT(' ROW-MAJOR DATA LAYOUT IS TESTED' )
  393. 10000 FORMAT(' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
  394. 9999 FORMAT(' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
  395. $ 'S THAN', F8.2 )
  396. 9998 FORMAT(' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
  397. 9997 FORMAT(' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
  398. $ 'THAN ', I2 )
  399. 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
  400. 9995 FORMAT('TESTS OF THE COMPLEX*16 LEVEL 3 BLAS', //' THE F',
  401. $ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
  402. 9994 FORMAT( ' FOR N ', 9I6 )
  403. 9993 FORMAT( ' FOR ALPHA ',
  404. $ 7( '(', F4.1, ',', F4.1, ') ', : ) )
  405. 9992 FORMAT( ' FOR BETA ',
  406. $ 7( '(', F4.1, ',', F4.1, ') ', : ) )
  407. 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
  408. $ /' ******* TESTS ABANDONED *******' )
  409. 9990 FORMAT(' SUBPROGRAM NAME ', A13,' NOT RECOGNIZED', /' ******* T',
  410. $ 'ESTS ABANDONED *******' )
  411. 9989 FORMAT(' ERROR IN ZMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
  412. $ 'ATED WRONGLY.', /' ZMMCH WAS CALLED WITH TRANSA = ', A1,
  413. $ 'AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ',
  414. $ ' ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ',
  415. $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ',
  416. $ '*******' )
  417. 9988 FORMAT( A13,L2 )
  418. 9987 FORMAT( 1X, A13,' WAS NOT TESTED' )
  419. 9986 FORMAT( /' END OF TESTS' )
  420. 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
  421. 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
  422. *
  423. * End of ZBLAT3.
  424. *
  425. END
  426. SUBROUTINE ZCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  427. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  428. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  429. $ IORDER )
  430. *
  431. * Tests ZGEMM.
  432. *
  433. * Auxiliary routine for test program for Level 3 Blas.
  434. *
  435. * -- Written on 8-February-1989.
  436. * Jack Dongarra, Argonne National Laboratory.
  437. * Iain Duff, AERE Harwell.
  438. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  439. * Sven Hammarling, Numerical Algorithms Group Ltd.
  440. *
  441. * .. Parameters ..
  442. COMPLEX*16 ZERO
  443. PARAMETER ( ZERO = ( 0.0, 0.0 ) )
  444. DOUBLE PRECISION RZERO
  445. PARAMETER ( RZERO = 0.0 )
  446. * .. Scalar Arguments ..
  447. DOUBLE PRECISION EPS, THRESH
  448. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  449. LOGICAL FATAL, REWI, TRACE
  450. CHARACTER*13 SNAME
  451. * .. Array Arguments ..
  452. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  453. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  454. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  455. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  456. $ CS( NMAX*NMAX ), CT( NMAX )
  457. DOUBLE PRECISION G( NMAX )
  458. INTEGER IDIM( NIDIM )
  459. * .. Local Scalars ..
  460. COMPLEX*16 ALPHA, ALS, BETA, BLS
  461. DOUBLE PRECISION ERR, ERRMAX
  462. INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA,
  463. $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M,
  464. $ MA, MB, MS, N, NA, NARGS, NB, NC, NS
  465. LOGICAL NULL, RESET, SAME, TRANA, TRANB
  466. CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB
  467. CHARACTER*3 ICH
  468. * .. Local Arrays ..
  469. LOGICAL ISAME( 13 )
  470. * .. External Functions ..
  471. LOGICAL LZE, LZERES
  472. EXTERNAL LZE, LZERES
  473. * .. External Subroutines ..
  474. EXTERNAL CZGEMM3M, ZMAKE, ZMMCH
  475. * .. Intrinsic Functions ..
  476. INTRINSIC MAX
  477. * .. Scalars in Common ..
  478. INTEGER INFOT, NOUTC
  479. LOGICAL LERR, OK
  480. * .. Common blocks ..
  481. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  482. * .. Data statements ..
  483. DATA ICH/'NTC'/
  484. * .. Executable Statements ..
  485. *
  486. NARGS = 13
  487. NC = 0
  488. RESET = .TRUE.
  489. ERRMAX = RZERO
  490. *
  491. DO 110 IM = 1, NIDIM
  492. M = IDIM( IM )
  493. *
  494. DO 100 IN = 1, NIDIM
  495. N = IDIM( IN )
  496. * Set LDC to 1 more than minimum value if room.
  497. LDC = M
  498. IF( LDC.LT.NMAX )
  499. $ LDC = LDC + 1
  500. * Skip tests if not enough room.
  501. IF( LDC.GT.NMAX )
  502. $ GO TO 100
  503. LCC = LDC*N
  504. NULL = N.LE.0.OR.M.LE.0
  505. *
  506. DO 90 IK = 1, NIDIM
  507. K = IDIM( IK )
  508. *
  509. DO 80 ICA = 1, 3
  510. TRANSA = ICH( ICA: ICA )
  511. TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
  512. *
  513. IF( TRANA )THEN
  514. MA = K
  515. NA = M
  516. ELSE
  517. MA = M
  518. NA = K
  519. END IF
  520. * Set LDA to 1 more than minimum value if room.
  521. LDA = MA
  522. IF( LDA.LT.NMAX )
  523. $ LDA = LDA + 1
  524. * Skip tests if not enough room.
  525. IF( LDA.GT.NMAX )
  526. $ GO TO 80
  527. LAA = LDA*NA
  528. *
  529. * Generate the matrix A.
  530. *
  531. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
  532. $ RESET, ZERO )
  533. *
  534. DO 70 ICB = 1, 3
  535. TRANSB = ICH( ICB: ICB )
  536. TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
  537. *
  538. IF( TRANB )THEN
  539. MB = N
  540. NB = K
  541. ELSE
  542. MB = K
  543. NB = N
  544. END IF
  545. * Set LDB to 1 more than minimum value if room.
  546. LDB = MB
  547. IF( LDB.LT.NMAX )
  548. $ LDB = LDB + 1
  549. * Skip tests if not enough room.
  550. IF( LDB.GT.NMAX )
  551. $ GO TO 70
  552. LBB = LDB*NB
  553. *
  554. * Generate the matrix B.
  555. *
  556. CALL ZMAKE( 'ge', ' ', ' ', MB, NB, B, NMAX, BB,
  557. $ LDB, RESET, ZERO )
  558. *
  559. DO 60 IA = 1, NALF
  560. ALPHA = ALF( IA )
  561. *
  562. DO 50 IB = 1, NBET
  563. BETA = BET( IB )
  564. *
  565. * Generate the matrix C.
  566. *
  567. CALL ZMAKE( 'ge', ' ', ' ', M, N, C, NMAX,
  568. $ CC, LDC, RESET, ZERO )
  569. *
  570. NC = NC + 1
  571. *
  572. * Save every datum before calling the
  573. * subroutine.
  574. *
  575. TRANAS = TRANSA
  576. TRANBS = TRANSB
  577. MS = M
  578. NS = N
  579. KS = K
  580. ALS = ALPHA
  581. DO 10 I = 1, LAA
  582. AS( I ) = AA( I )
  583. 10 CONTINUE
  584. LDAS = LDA
  585. DO 20 I = 1, LBB
  586. BS( I ) = BB( I )
  587. 20 CONTINUE
  588. LDBS = LDB
  589. BLS = BETA
  590. DO 30 I = 1, LCC
  591. CS( I ) = CC( I )
  592. 30 CONTINUE
  593. LDCS = LDC
  594. *
  595. * Call the subroutine.
  596. *
  597. IF( TRACE )
  598. $ CALL ZPRCN1(NTRA, NC, SNAME, IORDER,
  599. $ TRANSA, TRANSB, M, N, K, ALPHA, LDA,
  600. $ LDB, BETA, LDC)
  601. IF( REWI )
  602. $ REWIND NTRA
  603. CALL CZGEMM3M( IORDER, TRANSA, TRANSB, M, N,
  604. $ K, ALPHA, AA, LDA, BB, LDB,
  605. $ BETA, CC, LDC )
  606. *
  607. * Check if error-exit was taken incorrectly.
  608. *
  609. IF( .NOT.OK )THEN
  610. WRITE( NOUT, FMT = 9994 )
  611. FATAL = .TRUE.
  612. GO TO 120
  613. END IF
  614. *
  615. * See what data changed inside subroutines.
  616. *
  617. ISAME( 1 ) = TRANSA.EQ.TRANAS
  618. ISAME( 2 ) = TRANSB.EQ.TRANBS
  619. ISAME( 3 ) = MS.EQ.M
  620. ISAME( 4 ) = NS.EQ.N
  621. ISAME( 5 ) = KS.EQ.K
  622. ISAME( 6 ) = ALS.EQ.ALPHA
  623. ISAME( 7 ) = LZE( AS, AA, LAA )
  624. ISAME( 8 ) = LDAS.EQ.LDA
  625. ISAME( 9 ) = LZE( BS, BB, LBB )
  626. ISAME( 10 ) = LDBS.EQ.LDB
  627. ISAME( 11 ) = BLS.EQ.BETA
  628. IF( NULL )THEN
  629. ISAME( 12 ) = LZE( CS, CC, LCC )
  630. ELSE
  631. ISAME( 12 ) = LZERES( 'ge', ' ', M, N, CS,
  632. $ CC, LDC )
  633. END IF
  634. ISAME( 13 ) = LDCS.EQ.LDC
  635. *
  636. * If data was incorrectly changed, report
  637. * and return.
  638. *
  639. SAME = .TRUE.
  640. DO 40 I = 1, NARGS
  641. SAME = SAME.AND.ISAME( I )
  642. IF( .NOT.ISAME( I ) )
  643. $ WRITE( NOUT, FMT = 9998 )I
  644. 40 CONTINUE
  645. IF( .NOT.SAME )THEN
  646. FATAL = .TRUE.
  647. GO TO 120
  648. END IF
  649. *
  650. IF( .NOT.NULL )THEN
  651. *
  652. * Check the result.
  653. *
  654. CALL ZMMCH( TRANSA, TRANSB, M, N, K,
  655. $ ALPHA, A, NMAX, B, NMAX, BETA,
  656. $ C, NMAX, CT, G, CC, LDC, EPS,
  657. $ ERR, FATAL, NOUT, .TRUE. )
  658. ERRMAX = MAX( ERRMAX, ERR )
  659. * If got really bad answer, report and
  660. * return.
  661. IF( FATAL )
  662. $ GO TO 120
  663. END IF
  664. *
  665. 50 CONTINUE
  666. *
  667. 60 CONTINUE
  668. *
  669. 70 CONTINUE
  670. *
  671. 80 CONTINUE
  672. *
  673. 90 CONTINUE
  674. *
  675. 100 CONTINUE
  676. *
  677. 110 CONTINUE
  678. *
  679. * Report result.
  680. *
  681. IF( ERRMAX.LT.THRESH )THEN
  682. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  683. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  684. ELSE
  685. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  686. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  687. END IF
  688. GO TO 130
  689. *
  690. 120 CONTINUE
  691. WRITE( NOUT, FMT = 9996 )SNAME
  692. CALL ZPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB,
  693. $ M, N, K, ALPHA, LDA, LDB, BETA, LDC)
  694. *
  695. 130 CONTINUE
  696. RETURN
  697. *
  698. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  699. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  700. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  701. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  702. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  703. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  704. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  705. $ ' (', I6, ' CALL', 'S)' )
  706. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  707. $ ' (', I6, ' CALL', 'S)' )
  708. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  709. $ 'ANGED INCORRECTLY *******' )
  710. 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
  711. 9995 FORMAT( 1X, I6, ': ', A13,'(''', A1, ''',''', A1, ''',',
  712. $ 3( I3, ',' ), '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3,
  713. $ ',(', F4.1, ',', F4.1, '), C,', I3, ').' )
  714. 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  715. $ '******' )
  716. *
  717. * End of ZCHK1.
  718. *
  719. END
  720. *
  721. SUBROUTINE ZPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N,
  722. $ K, ALPHA, LDA, LDB, BETA, LDC)
  723. INTEGER NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC
  724. DOUBLE COMPLEX ALPHA, BETA
  725. CHARACTER*1 TRANSA, TRANSB
  726. CHARACTER*13 SNAME
  727. CHARACTER*14 CRC, CTA,CTB
  728. IF (TRANSA.EQ.'N')THEN
  729. CTA = ' CblasNoTrans'
  730. ELSE IF (TRANSA.EQ.'T')THEN
  731. CTA = ' CblasTrans'
  732. ELSE
  733. CTA = 'CblasConjTrans'
  734. END IF
  735. IF (TRANSB.EQ.'N')THEN
  736. CTB = ' CblasNoTrans'
  737. ELSE IF (TRANSB.EQ.'T')THEN
  738. CTB = ' CblasTrans'
  739. ELSE
  740. CTB = 'CblasConjTrans'
  741. END IF
  742. IF (IORDER.EQ.1)THEN
  743. CRC = ' CblasRowMajor'
  744. ELSE
  745. CRC = ' CblasColMajor'
  746. END IF
  747. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB
  748. WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC
  749. 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
  750. 9994 FORMAT( 10X, 3( I3, ',' ) ,' (', F4.1,',',F4.1,') , A,',
  751. $ I3, ', B,', I3, ', (', F4.1,',',F4.1,') , C,', I3, ').' )
  752. END
  753. *
  754. SUBROUTINE ZCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  755. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  756. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  757. $ IORDER )
  758. *
  759. * Tests ZHEMM and ZSYMM.
  760. *
  761. * Auxiliary routine for test program for Level 3 Blas.
  762. *
  763. * -- Written on 8-February-1989.
  764. * Jack Dongarra, Argonne National Laboratory.
  765. * Iain Duff, AERE Harwell.
  766. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  767. * Sven Hammarling, Numerical Algorithms Group Ltd.
  768. *
  769. * .. Parameters ..
  770. COMPLEX*16 ZERO
  771. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
  772. DOUBLE PRECISION RZERO
  773. PARAMETER ( RZERO = 0.0D0 )
  774. * .. Scalar Arguments ..
  775. DOUBLE PRECISION EPS, THRESH
  776. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  777. LOGICAL FATAL, REWI, TRACE
  778. CHARACTER*13 SNAME
  779. * .. Array Arguments ..
  780. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  781. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  782. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  783. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  784. $ CS( NMAX*NMAX ), CT( NMAX )
  785. DOUBLE PRECISION G( NMAX )
  786. INTEGER IDIM( NIDIM )
  787. * .. Local Scalars ..
  788. COMPLEX*16 ALPHA, ALS, BETA, BLS
  789. DOUBLE PRECISION ERR, ERRMAX
  790. INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC,
  791. $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA,
  792. $ NARGS, NC, NS
  793. LOGICAL CONJ, LEFT, NULL, RESET, SAME
  794. CHARACTER*1 SIDE, SIDES, UPLO, UPLOS
  795. CHARACTER*2 ICHS, ICHU
  796. * .. Local Arrays ..
  797. LOGICAL ISAME( 13 )
  798. * .. External Functions ..
  799. LOGICAL LZE, LZERES
  800. EXTERNAL LZE, LZERES
  801. * .. External Subroutines ..
  802. EXTERNAL CZHEMM, ZMAKE, ZMMCH, CZSYMM
  803. * .. Intrinsic Functions ..
  804. INTRINSIC MAX
  805. * .. Scalars in Common ..
  806. INTEGER INFOT, NOUTC
  807. LOGICAL LERR, OK
  808. * .. Common blocks ..
  809. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  810. * .. Data statements ..
  811. DATA ICHS/'LR'/, ICHU/'UL'/
  812. * .. Executable Statements ..
  813. CONJ = SNAME( 8: 9 ).EQ.'he'
  814. *
  815. NARGS = 12
  816. NC = 0
  817. RESET = .TRUE.
  818. ERRMAX = RZERO
  819. *
  820. DO 100 IM = 1, NIDIM
  821. M = IDIM( IM )
  822. *
  823. DO 90 IN = 1, NIDIM
  824. N = IDIM( IN )
  825. * Set LDC to 1 more than minimum value if room.
  826. LDC = M
  827. IF( LDC.LT.NMAX )
  828. $ LDC = LDC + 1
  829. * Skip tests if not enough room.
  830. IF( LDC.GT.NMAX )
  831. $ GO TO 90
  832. LCC = LDC*N
  833. NULL = N.LE.0.OR.M.LE.0
  834. * Set LDB to 1 more than minimum value if room.
  835. LDB = M
  836. IF( LDB.LT.NMAX )
  837. $ LDB = LDB + 1
  838. * Skip tests if not enough room.
  839. IF( LDB.GT.NMAX )
  840. $ GO TO 90
  841. LBB = LDB*N
  842. *
  843. * Generate the matrix B.
  844. *
  845. CALL ZMAKE( 'ge', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET,
  846. $ ZERO )
  847. *
  848. DO 80 ICS = 1, 2
  849. SIDE = ICHS( ICS: ICS )
  850. LEFT = SIDE.EQ.'L'
  851. *
  852. IF( LEFT )THEN
  853. NA = M
  854. ELSE
  855. NA = N
  856. END IF
  857. * Set LDA to 1 more than minimum value if room.
  858. LDA = NA
  859. IF( LDA.LT.NMAX )
  860. $ LDA = LDA + 1
  861. * Skip tests if not enough room.
  862. IF( LDA.GT.NMAX )
  863. $ GO TO 80
  864. LAA = LDA*NA
  865. *
  866. DO 70 ICU = 1, 2
  867. UPLO = ICHU( ICU: ICU )
  868. *
  869. * Generate the hermitian or symmetric matrix A.
  870. *
  871. CALL ZMAKE(SNAME( 8: 9 ), UPLO, ' ', NA, NA, A, NMAX,
  872. $ AA, LDA, RESET, ZERO )
  873. *
  874. DO 60 IA = 1, NALF
  875. ALPHA = ALF( IA )
  876. *
  877. DO 50 IB = 1, NBET
  878. BETA = BET( IB )
  879. *
  880. * Generate the matrix C.
  881. *
  882. CALL ZMAKE( 'ge', ' ', ' ', M, N, C, NMAX, CC,
  883. $ LDC, RESET, ZERO )
  884. *
  885. NC = NC + 1
  886. *
  887. * Save every datum before calling the
  888. * subroutine.
  889. *
  890. SIDES = SIDE
  891. UPLOS = UPLO
  892. MS = M
  893. NS = N
  894. ALS = ALPHA
  895. DO 10 I = 1, LAA
  896. AS( I ) = AA( I )
  897. 10 CONTINUE
  898. LDAS = LDA
  899. DO 20 I = 1, LBB
  900. BS( I ) = BB( I )
  901. 20 CONTINUE
  902. LDBS = LDB
  903. BLS = BETA
  904. DO 30 I = 1, LCC
  905. CS( I ) = CC( I )
  906. 30 CONTINUE
  907. LDCS = LDC
  908. *
  909. * Call the subroutine.
  910. *
  911. IF( TRACE )
  912. $ CALL ZPRCN2(NTRA, NC, SNAME, IORDER,
  913. $ SIDE, UPLO, M, N, ALPHA, LDA, LDB,
  914. $ BETA, LDC)
  915. IF( REWI )
  916. $ REWIND NTRA
  917. IF( CONJ )THEN
  918. CALL CZHEMM( IORDER, SIDE, UPLO, M, N,
  919. $ ALPHA, AA, LDA, BB, LDB, BETA,
  920. $ CC, LDC )
  921. ELSE
  922. CALL CZSYMM( IORDER, SIDE, UPLO, M, N,
  923. $ ALPHA, AA, LDA, BB, LDB, BETA,
  924. $ CC, LDC )
  925. END IF
  926. *
  927. * Check if error-exit was taken incorrectly.
  928. *
  929. IF( .NOT.OK )THEN
  930. WRITE( NOUT, FMT = 9994 )
  931. FATAL = .TRUE.
  932. GO TO 110
  933. END IF
  934. *
  935. * See what data changed inside subroutines.
  936. *
  937. ISAME( 1 ) = SIDES.EQ.SIDE
  938. ISAME( 2 ) = UPLOS.EQ.UPLO
  939. ISAME( 3 ) = MS.EQ.M
  940. ISAME( 4 ) = NS.EQ.N
  941. ISAME( 5 ) = ALS.EQ.ALPHA
  942. ISAME( 6 ) = LZE( AS, AA, LAA )
  943. ISAME( 7 ) = LDAS.EQ.LDA
  944. ISAME( 8 ) = LZE( BS, BB, LBB )
  945. ISAME( 9 ) = LDBS.EQ.LDB
  946. ISAME( 10 ) = BLS.EQ.BETA
  947. IF( NULL )THEN
  948. ISAME( 11 ) = LZE( CS, CC, LCC )
  949. ELSE
  950. ISAME( 11 ) = LZERES( 'ge', ' ', M, N, CS,
  951. $ CC, LDC )
  952. END IF
  953. ISAME( 12 ) = LDCS.EQ.LDC
  954. *
  955. * If data was incorrectly changed, report and
  956. * return.
  957. *
  958. SAME = .TRUE.
  959. DO 40 I = 1, NARGS
  960. SAME = SAME.AND.ISAME( I )
  961. IF( .NOT.ISAME( I ) )
  962. $ WRITE( NOUT, FMT = 9998 )I
  963. 40 CONTINUE
  964. IF( .NOT.SAME )THEN
  965. FATAL = .TRUE.
  966. GO TO 110
  967. END IF
  968. *
  969. IF( .NOT.NULL )THEN
  970. *
  971. * Check the result.
  972. *
  973. IF( LEFT )THEN
  974. CALL ZMMCH( 'N', 'N', M, N, M, ALPHA, A,
  975. $ NMAX, B, NMAX, BETA, C, NMAX,
  976. $ CT, G, CC, LDC, EPS, ERR,
  977. $ FATAL, NOUT, .TRUE. )
  978. ELSE
  979. CALL ZMMCH( 'N', 'N', M, N, N, ALPHA, B,
  980. $ NMAX, A, NMAX, BETA, C, NMAX,
  981. $ CT, G, CC, LDC, EPS, ERR,
  982. $ FATAL, NOUT, .TRUE. )
  983. END IF
  984. ERRMAX = MAX( ERRMAX, ERR )
  985. * If got really bad answer, report and
  986. * return.
  987. IF( FATAL )
  988. $ GO TO 110
  989. END IF
  990. *
  991. 50 CONTINUE
  992. *
  993. 60 CONTINUE
  994. *
  995. 70 CONTINUE
  996. *
  997. 80 CONTINUE
  998. *
  999. 90 CONTINUE
  1000. *
  1001. 100 CONTINUE
  1002. *
  1003. * Report result.
  1004. *
  1005. IF( ERRMAX.LT.THRESH )THEN
  1006. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1007. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1008. ELSE
  1009. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1010. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1011. END IF
  1012. GO TO 120
  1013. *
  1014. 110 CONTINUE
  1015. WRITE( NOUT, FMT = 9996 )SNAME
  1016. CALL ZPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA,
  1017. $ LDB, BETA, LDC)
  1018. *
  1019. 120 CONTINUE
  1020. RETURN
  1021. *
  1022. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1023. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1024. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1025. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1026. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1027. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1028. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1029. $ ' (', I6, ' CALL', 'S)' )
  1030. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1031. $ ' (', I6, ' CALL', 'S)' )
  1032. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1033. $ 'ANGED INCORRECTLY *******' )
  1034. 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
  1035. 9995 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1036. $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1,
  1037. $ ',', F4.1, '), C,', I3, ') .' )
  1038. 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1039. $ '******' )
  1040. *
  1041. * End of ZCHK2.
  1042. *
  1043. END
  1044. *
  1045. SUBROUTINE ZPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N,
  1046. $ ALPHA, LDA, LDB, BETA, LDC)
  1047. INTEGER NOUT, NC, IORDER, M, N, LDA, LDB, LDC
  1048. DOUBLE COMPLEX ALPHA, BETA
  1049. CHARACTER*1 SIDE, UPLO
  1050. CHARACTER*13 SNAME
  1051. CHARACTER*14 CRC, CS,CU
  1052. IF (SIDE.EQ.'L')THEN
  1053. CS = ' CblasLeft'
  1054. ELSE
  1055. CS = ' CblasRight'
  1056. END IF
  1057. IF (UPLO.EQ.'U')THEN
  1058. CU = ' CblasUpper'
  1059. ELSE
  1060. CU = ' CblasLower'
  1061. END IF
  1062. IF (IORDER.EQ.1)THEN
  1063. CRC = ' CblasRowMajor'
  1064. ELSE
  1065. CRC = ' CblasColMajor'
  1066. END IF
  1067. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
  1068. WRITE(NOUT, FMT = 9994)M, N, ALPHA, LDA, LDB, BETA, LDC
  1069. 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
  1070. 9994 FORMAT( 10X, 2( I3, ',' ),' (',F4.1,',',F4.1, '), A,', I3,
  1071. $ ', B,', I3, ', (',F4.1,',',F4.1, '), ', 'C,', I3, ').' )
  1072. END
  1073. *
  1074. SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1075. $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS,
  1076. $ B, BB, BS, CT, G, C, IORDER )
  1077. *
  1078. * Tests ZTRMM and ZTRSM.
  1079. *
  1080. * Auxiliary routine for test program for Level 3 Blas.
  1081. *
  1082. * -- Written on 8-February-1989.
  1083. * Jack Dongarra, Argonne National Laboratory.
  1084. * Iain Duff, AERE Harwell.
  1085. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1086. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1087. *
  1088. * .. Parameters ..
  1089. COMPLEX*16 ZERO, ONE
  1090. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), ONE = ( 1.0D0, 0.0D0 ) )
  1091. DOUBLE PRECISION RZERO
  1092. PARAMETER ( RZERO = 0.0D0 )
  1093. * .. Scalar Arguments ..
  1094. DOUBLE PRECISION EPS, THRESH
  1095. INTEGER NALF, NIDIM, NMAX, NOUT, NTRA, IORDER
  1096. LOGICAL FATAL, REWI, TRACE
  1097. CHARACTER*13 SNAME
  1098. * .. Array Arguments ..
  1099. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1100. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  1101. $ BB( NMAX*NMAX ), BS( NMAX*NMAX ),
  1102. $ C( NMAX, NMAX ), CT( NMAX )
  1103. DOUBLE PRECISION G( NMAX )
  1104. INTEGER IDIM( NIDIM )
  1105. * .. Local Scalars ..
  1106. COMPLEX*16 ALPHA, ALS
  1107. DOUBLE PRECISION ERR, ERRMAX
  1108. INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB,
  1109. $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC,
  1110. $ NS
  1111. LOGICAL LEFT, NULL, RESET, SAME
  1112. CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO,
  1113. $ UPLOS
  1114. CHARACTER*2 ICHD, ICHS, ICHU
  1115. CHARACTER*3 ICHT
  1116. * .. Local Arrays ..
  1117. LOGICAL ISAME( 13 )
  1118. * .. External Functions ..
  1119. LOGICAL LZE, LZERES
  1120. EXTERNAL LZE, LZERES
  1121. * .. External Subroutines ..
  1122. EXTERNAL ZMAKE, ZMMCH, CZTRMM, CZTRSM
  1123. * .. Intrinsic Functions ..
  1124. INTRINSIC MAX
  1125. * .. Scalars in Common ..
  1126. INTEGER INFOT, NOUTC
  1127. LOGICAL LERR, OK
  1128. * .. Common blocks ..
  1129. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  1130. * .. Data statements ..
  1131. DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/
  1132. * .. Executable Statements ..
  1133. *
  1134. NARGS = 11
  1135. NC = 0
  1136. RESET = .TRUE.
  1137. ERRMAX = RZERO
  1138. * Set up zero matrix for ZMMCH.
  1139. DO 20 J = 1, NMAX
  1140. DO 10 I = 1, NMAX
  1141. C( I, J ) = ZERO
  1142. 10 CONTINUE
  1143. 20 CONTINUE
  1144. *
  1145. DO 140 IM = 1, NIDIM
  1146. M = IDIM( IM )
  1147. *
  1148. DO 130 IN = 1, NIDIM
  1149. N = IDIM( IN )
  1150. * Set LDB to 1 more than minimum value if room.
  1151. LDB = M
  1152. IF( LDB.LT.NMAX )
  1153. $ LDB = LDB + 1
  1154. * Skip tests if not enough room.
  1155. IF( LDB.GT.NMAX )
  1156. $ GO TO 130
  1157. LBB = LDB*N
  1158. NULL = M.LE.0.OR.N.LE.0
  1159. *
  1160. DO 120 ICS = 1, 2
  1161. SIDE = ICHS( ICS: ICS )
  1162. LEFT = SIDE.EQ.'L'
  1163. IF( LEFT )THEN
  1164. NA = M
  1165. ELSE
  1166. NA = N
  1167. END IF
  1168. * Set LDA to 1 more than minimum value if room.
  1169. LDA = NA
  1170. IF( LDA.LT.NMAX )
  1171. $ LDA = LDA + 1
  1172. * Skip tests if not enough room.
  1173. IF( LDA.GT.NMAX )
  1174. $ GO TO 130
  1175. LAA = LDA*NA
  1176. *
  1177. DO 110 ICU = 1, 2
  1178. UPLO = ICHU( ICU: ICU )
  1179. *
  1180. DO 100 ICT = 1, 3
  1181. TRANSA = ICHT( ICT: ICT )
  1182. *
  1183. DO 90 ICD = 1, 2
  1184. DIAG = ICHD( ICD: ICD )
  1185. *
  1186. DO 80 IA = 1, NALF
  1187. ALPHA = ALF( IA )
  1188. *
  1189. * Generate the matrix A.
  1190. *
  1191. CALL ZMAKE( 'tr', UPLO, DIAG, NA, NA, A,
  1192. $ NMAX, AA, LDA, RESET, ZERO )
  1193. *
  1194. * Generate the matrix B.
  1195. *
  1196. CALL ZMAKE( 'ge', ' ', ' ', M, N, B, NMAX,
  1197. $ BB, LDB, RESET, ZERO )
  1198. *
  1199. NC = NC + 1
  1200. *
  1201. * Save every datum before calling the
  1202. * subroutine.
  1203. *
  1204. SIDES = SIDE
  1205. UPLOS = UPLO
  1206. TRANAS = TRANSA
  1207. DIAGS = DIAG
  1208. MS = M
  1209. NS = N
  1210. ALS = ALPHA
  1211. DO 30 I = 1, LAA
  1212. AS( I ) = AA( I )
  1213. 30 CONTINUE
  1214. LDAS = LDA
  1215. DO 40 I = 1, LBB
  1216. BS( I ) = BB( I )
  1217. 40 CONTINUE
  1218. LDBS = LDB
  1219. *
  1220. * Call the subroutine.
  1221. *
  1222. IF( SNAME( 10: 11 ).EQ.'mm' )THEN
  1223. IF( TRACE )
  1224. $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER,
  1225. $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
  1226. $ LDA, LDB)
  1227. IF( REWI )
  1228. $ REWIND NTRA
  1229. CALL CZTRMM(IORDER, SIDE, UPLO, TRANSA,
  1230. $ DIAG, M, N, ALPHA, AA, LDA,
  1231. $ BB, LDB )
  1232. ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
  1233. IF( TRACE )
  1234. $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER,
  1235. $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
  1236. $ LDA, LDB)
  1237. IF( REWI )
  1238. $ REWIND NTRA
  1239. CALL CZTRSM(IORDER, SIDE, UPLO, TRANSA,
  1240. $ DIAG, M, N, ALPHA, AA, LDA,
  1241. $ BB, LDB )
  1242. END IF
  1243. *
  1244. * Check if error-exit was taken incorrectly.
  1245. *
  1246. IF( .NOT.OK )THEN
  1247. WRITE( NOUT, FMT = 9994 )
  1248. FATAL = .TRUE.
  1249. GO TO 150
  1250. END IF
  1251. *
  1252. * See what data changed inside subroutines.
  1253. *
  1254. ISAME( 1 ) = SIDES.EQ.SIDE
  1255. ISAME( 2 ) = UPLOS.EQ.UPLO
  1256. ISAME( 3 ) = TRANAS.EQ.TRANSA
  1257. ISAME( 4 ) = DIAGS.EQ.DIAG
  1258. ISAME( 5 ) = MS.EQ.M
  1259. ISAME( 6 ) = NS.EQ.N
  1260. ISAME( 7 ) = ALS.EQ.ALPHA
  1261. ISAME( 8 ) = LZE( AS, AA, LAA )
  1262. ISAME( 9 ) = LDAS.EQ.LDA
  1263. IF( NULL )THEN
  1264. ISAME( 10 ) = LZE( BS, BB, LBB )
  1265. ELSE
  1266. ISAME( 10 ) = LZERES( 'ge', ' ', M, N, BS,
  1267. $ BB, LDB )
  1268. END IF
  1269. ISAME( 11 ) = LDBS.EQ.LDB
  1270. *
  1271. * If data was incorrectly changed, report and
  1272. * return.
  1273. *
  1274. SAME = .TRUE.
  1275. DO 50 I = 1, NARGS
  1276. SAME = SAME.AND.ISAME( I )
  1277. IF( .NOT.ISAME( I ) )
  1278. $ WRITE( NOUT, FMT = 9998 )I
  1279. 50 CONTINUE
  1280. IF( .NOT.SAME )THEN
  1281. FATAL = .TRUE.
  1282. GO TO 150
  1283. END IF
  1284. *
  1285. IF( .NOT.NULL )THEN
  1286. IF( SNAME( 10: 11 ).EQ.'mm' )THEN
  1287. *
  1288. * Check the result.
  1289. *
  1290. IF( LEFT )THEN
  1291. CALL ZMMCH( TRANSA, 'N', M, N, M,
  1292. $ ALPHA, A, NMAX, B, NMAX,
  1293. $ ZERO, C, NMAX, CT, G,
  1294. $ BB, LDB, EPS, ERR,
  1295. $ FATAL, NOUT, .TRUE. )
  1296. ELSE
  1297. CALL ZMMCH( 'N', TRANSA, M, N, N,
  1298. $ ALPHA, B, NMAX, A, NMAX,
  1299. $ ZERO, C, NMAX, CT, G,
  1300. $ BB, LDB, EPS, ERR,
  1301. $ FATAL, NOUT, .TRUE. )
  1302. END IF
  1303. ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
  1304. *
  1305. * Compute approximation to original
  1306. * matrix.
  1307. *
  1308. DO 70 J = 1, N
  1309. DO 60 I = 1, M
  1310. C( I, J ) = BB( I + ( J - 1 )*
  1311. $ LDB )
  1312. BB( I + ( J - 1 )*LDB ) = ALPHA*
  1313. $ B( I, J )
  1314. 60 CONTINUE
  1315. 70 CONTINUE
  1316. *
  1317. IF( LEFT )THEN
  1318. CALL ZMMCH( TRANSA, 'N', M, N, M,
  1319. $ ONE, A, NMAX, C, NMAX,
  1320. $ ZERO, B, NMAX, CT, G,
  1321. $ BB, LDB, EPS, ERR,
  1322. $ FATAL, NOUT, .FALSE. )
  1323. ELSE
  1324. CALL ZMMCH( 'N', TRANSA, M, N, N,
  1325. $ ONE, C, NMAX, A, NMAX,
  1326. $ ZERO, B, NMAX, CT, G,
  1327. $ BB, LDB, EPS, ERR,
  1328. $ FATAL, NOUT, .FALSE. )
  1329. END IF
  1330. END IF
  1331. ERRMAX = MAX( ERRMAX, ERR )
  1332. * If got really bad answer, report and
  1333. * return.
  1334. IF( FATAL )
  1335. $ GO TO 150
  1336. END IF
  1337. *
  1338. 80 CONTINUE
  1339. *
  1340. 90 CONTINUE
  1341. *
  1342. 100 CONTINUE
  1343. *
  1344. 110 CONTINUE
  1345. *
  1346. 120 CONTINUE
  1347. *
  1348. 130 CONTINUE
  1349. *
  1350. 140 CONTINUE
  1351. *
  1352. * Report result.
  1353. *
  1354. IF( ERRMAX.LT.THRESH )THEN
  1355. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1356. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1357. ELSE
  1358. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1359. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1360. END IF
  1361. GO TO 160
  1362. *
  1363. 150 CONTINUE
  1364. WRITE( NOUT, FMT = 9996 )SNAME
  1365. IF( TRACE )
  1366. $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG,
  1367. $ M, N, ALPHA, LDA, LDB)
  1368. *
  1369. 160 CONTINUE
  1370. RETURN
  1371. *
  1372. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1373. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1374. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1375. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1376. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1377. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1378. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1379. $ ' (', I6, ' CALL', 'S)' )
  1380. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1381. $ ' (', I6, ' CALL', 'S)' )
  1382. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1383. $ 'ANGED INCORRECTLY *******' )
  1384. 9996 FORMAT(' ******* ', A13,' FAILED ON CALL NUMBER:' )
  1385. 9995 FORMAT(1X, I6, ': ', A13,'(', 4( '''', A1, ''',' ), 2( I3, ',' ),
  1386. $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ') ',
  1387. $ ' .' )
  1388. 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1389. $ '******' )
  1390. *
  1391. * End of ZCHK3.
  1392. *
  1393. END
  1394. *
  1395. SUBROUTINE ZPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA,
  1396. $ DIAG, M, N, ALPHA, LDA, LDB)
  1397. INTEGER NOUT, NC, IORDER, M, N, LDA, LDB
  1398. DOUBLE COMPLEX ALPHA
  1399. CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
  1400. CHARACTER*13 SNAME
  1401. CHARACTER*14 CRC, CS, CU, CA, CD
  1402. IF (SIDE.EQ.'L')THEN
  1403. CS = ' CblasLeft'
  1404. ELSE
  1405. CS = ' CblasRight'
  1406. END IF
  1407. IF (UPLO.EQ.'U')THEN
  1408. CU = ' CblasUpper'
  1409. ELSE
  1410. CU = ' CblasLower'
  1411. END IF
  1412. IF (TRANSA.EQ.'N')THEN
  1413. CA = ' CblasNoTrans'
  1414. ELSE IF (TRANSA.EQ.'T')THEN
  1415. CA = ' CblasTrans'
  1416. ELSE
  1417. CA = 'CblasConjTrans'
  1418. END IF
  1419. IF (DIAG.EQ.'N')THEN
  1420. CD = ' CblasNonUnit'
  1421. ELSE
  1422. CD = ' CblasUnit'
  1423. END IF
  1424. IF (IORDER.EQ.1)THEN
  1425. CRC = ' CblasRowMajor'
  1426. ELSE
  1427. CRC = ' CblasColMajor'
  1428. END IF
  1429. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
  1430. WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB
  1431. 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
  1432. 9994 FORMAT( 10X, 2( A15, ',') , 2( I3, ',' ), ' (', F4.1, ',',
  1433. $ F4.1, '), A,', I3, ', B,', I3, ').' )
  1434. END
  1435. *
  1436. SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1437. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  1438. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  1439. $ IORDER )
  1440. *
  1441. * Tests ZHERK and ZSYRK.
  1442. *
  1443. * Auxiliary routine for test program for Level 3 Blas.
  1444. *
  1445. * -- Written on 8-February-1989.
  1446. * Jack Dongarra, Argonne National Laboratory.
  1447. * Iain Duff, AERE Harwell.
  1448. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1449. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1450. *
  1451. * .. Parameters ..
  1452. COMPLEX*16 ZERO
  1453. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
  1454. DOUBLE PRECISION RONE, RZERO
  1455. PARAMETER ( RONE = 1.0D0, RZERO = 0.0D0 )
  1456. * .. Scalar Arguments ..
  1457. DOUBLE PRECISION EPS, THRESH
  1458. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  1459. LOGICAL FATAL, REWI, TRACE
  1460. CHARACTER*13 SNAME
  1461. * .. Array Arguments ..
  1462. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1463. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  1464. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  1465. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  1466. $ CS( NMAX*NMAX ), CT( NMAX )
  1467. DOUBLE PRECISION G( NMAX )
  1468. INTEGER IDIM( NIDIM )
  1469. * .. Local Scalars ..
  1470. COMPLEX*16 ALPHA, ALS, BETA, BETS
  1471. DOUBLE PRECISION ERR, ERRMAX, RALPHA, RALS, RBETA, RBETS
  1472. INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS,
  1473. $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA,
  1474. $ NARGS, NC, NS
  1475. LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER
  1476. CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS
  1477. CHARACTER*2 ICHT, ICHU
  1478. * .. Local Arrays ..
  1479. LOGICAL ISAME( 13 )
  1480. * .. External Functions ..
  1481. LOGICAL LZE, LZERES
  1482. EXTERNAL LZE, LZERES
  1483. * .. External Subroutines ..
  1484. EXTERNAL CZHERK, ZMAKE, ZMMCH, CZSYRK
  1485. * .. Intrinsic Functions ..
  1486. INTRINSIC DCMPLX, MAX, DBLE
  1487. * .. Scalars in Common ..
  1488. INTEGER INFOT, NOUTC
  1489. LOGICAL LERR, OK
  1490. * .. Common blocks ..
  1491. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  1492. * .. Data statements ..
  1493. DATA ICHT/'NC'/, ICHU/'UL'/
  1494. * .. Executable Statements ..
  1495. CONJ = SNAME( 8: 9 ).EQ.'he'
  1496. *
  1497. NARGS = 10
  1498. NC = 0
  1499. RESET = .TRUE.
  1500. ERRMAX = RZERO
  1501. *
  1502. DO 100 IN = 1, NIDIM
  1503. N = IDIM( IN )
  1504. * Set LDC to 1 more than minimum value if room.
  1505. LDC = N
  1506. IF( LDC.LT.NMAX )
  1507. $ LDC = LDC + 1
  1508. * Skip tests if not enough room.
  1509. IF( LDC.GT.NMAX )
  1510. $ GO TO 100
  1511. LCC = LDC*N
  1512. *
  1513. DO 90 IK = 1, NIDIM
  1514. K = IDIM( IK )
  1515. *
  1516. DO 80 ICT = 1, 2
  1517. TRANS = ICHT( ICT: ICT )
  1518. TRAN = TRANS.EQ.'C'
  1519. IF( TRAN.AND..NOT.CONJ )
  1520. $ TRANS = 'T'
  1521. IF( TRAN )THEN
  1522. MA = K
  1523. NA = N
  1524. ELSE
  1525. MA = N
  1526. NA = K
  1527. END IF
  1528. * Set LDA to 1 more than minimum value if room.
  1529. LDA = MA
  1530. IF( LDA.LT.NMAX )
  1531. $ LDA = LDA + 1
  1532. * Skip tests if not enough room.
  1533. IF( LDA.GT.NMAX )
  1534. $ GO TO 80
  1535. LAA = LDA*NA
  1536. *
  1537. * Generate the matrix A.
  1538. *
  1539. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
  1540. $ RESET, ZERO )
  1541. *
  1542. DO 70 ICU = 1, 2
  1543. UPLO = ICHU( ICU: ICU )
  1544. UPPER = UPLO.EQ.'U'
  1545. *
  1546. DO 60 IA = 1, NALF
  1547. ALPHA = ALF( IA )
  1548. IF( CONJ )THEN
  1549. RALPHA = DBLE( ALPHA )
  1550. ALPHA = DCMPLX( RALPHA, RZERO )
  1551. END IF
  1552. *
  1553. DO 50 IB = 1, NBET
  1554. BETA = BET( IB )
  1555. IF( CONJ )THEN
  1556. RBETA = DBLE( BETA )
  1557. BETA = DCMPLX( RBETA, RZERO )
  1558. END IF
  1559. NULL = N.LE.0
  1560. IF( CONJ )
  1561. $ NULL = NULL.OR.( ( K.LE.0.OR.RALPHA.EQ.
  1562. $ RZERO ).AND.RBETA.EQ.RONE )
  1563. *
  1564. * Generate the matrix C.
  1565. *
  1566. CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, C,
  1567. $ NMAX, CC, LDC, RESET, ZERO )
  1568. *
  1569. NC = NC + 1
  1570. *
  1571. * Save every datum before calling the subroutine.
  1572. *
  1573. UPLOS = UPLO
  1574. TRANSS = TRANS
  1575. NS = N
  1576. KS = K
  1577. IF( CONJ )THEN
  1578. RALS = RALPHA
  1579. ELSE
  1580. ALS = ALPHA
  1581. END IF
  1582. DO 10 I = 1, LAA
  1583. AS( I ) = AA( I )
  1584. 10 CONTINUE
  1585. LDAS = LDA
  1586. IF( CONJ )THEN
  1587. RBETS = RBETA
  1588. ELSE
  1589. BETS = BETA
  1590. END IF
  1591. DO 20 I = 1, LCC
  1592. CS( I ) = CC( I )
  1593. 20 CONTINUE
  1594. LDCS = LDC
  1595. *
  1596. * Call the subroutine.
  1597. *
  1598. IF( CONJ )THEN
  1599. IF( TRACE )
  1600. $ CALL ZPRCN6( NTRA, NC, SNAME, IORDER,
  1601. $ UPLO, TRANS, N, K, RALPHA, LDA, RBETA,
  1602. $ LDC)
  1603. IF( REWI )
  1604. $ REWIND NTRA
  1605. CALL CZHERK( IORDER, UPLO, TRANS, N, K,
  1606. $ RALPHA, AA, LDA, RBETA, CC,
  1607. $ LDC )
  1608. ELSE
  1609. IF( TRACE )
  1610. $ CALL ZPRCN4( NTRA, NC, SNAME, IORDER,
  1611. $ UPLO, TRANS, N, K, ALPHA, LDA, BETA, LDC)
  1612. IF( REWI )
  1613. $ REWIND NTRA
  1614. CALL CZSYRK( IORDER, UPLO, TRANS, N, K,
  1615. $ ALPHA, AA, LDA, BETA, CC, LDC )
  1616. END IF
  1617. *
  1618. * Check if error-exit was taken incorrectly.
  1619. *
  1620. IF( .NOT.OK )THEN
  1621. WRITE( NOUT, FMT = 9992 )
  1622. FATAL = .TRUE.
  1623. GO TO 120
  1624. END IF
  1625. *
  1626. * See what data changed inside subroutines.
  1627. *
  1628. ISAME( 1 ) = UPLOS.EQ.UPLO
  1629. ISAME( 2 ) = TRANSS.EQ.TRANS
  1630. ISAME( 3 ) = NS.EQ.N
  1631. ISAME( 4 ) = KS.EQ.K
  1632. IF( CONJ )THEN
  1633. ISAME( 5 ) = RALS.EQ.RALPHA
  1634. ELSE
  1635. ISAME( 5 ) = ALS.EQ.ALPHA
  1636. END IF
  1637. ISAME( 6 ) = LZE( AS, AA, LAA )
  1638. ISAME( 7 ) = LDAS.EQ.LDA
  1639. IF( CONJ )THEN
  1640. ISAME( 8 ) = RBETS.EQ.RBETA
  1641. ELSE
  1642. ISAME( 8 ) = BETS.EQ.BETA
  1643. END IF
  1644. IF( NULL )THEN
  1645. ISAME( 9 ) = LZE( CS, CC, LCC )
  1646. ELSE
  1647. ISAME( 9 ) = LZERES( SNAME( 8: 9 ), UPLO, N,
  1648. $ N, CS, CC, LDC )
  1649. END IF
  1650. ISAME( 10 ) = LDCS.EQ.LDC
  1651. *
  1652. * If data was incorrectly changed, report and
  1653. * return.
  1654. *
  1655. SAME = .TRUE.
  1656. DO 30 I = 1, NARGS
  1657. SAME = SAME.AND.ISAME( I )
  1658. IF( .NOT.ISAME( I ) )
  1659. $ WRITE( NOUT, FMT = 9998 )I
  1660. 30 CONTINUE
  1661. IF( .NOT.SAME )THEN
  1662. FATAL = .TRUE.
  1663. GO TO 120
  1664. END IF
  1665. *
  1666. IF( .NOT.NULL )THEN
  1667. *
  1668. * Check the result column by column.
  1669. *
  1670. IF( CONJ )THEN
  1671. TRANST = 'C'
  1672. ELSE
  1673. TRANST = 'T'
  1674. END IF
  1675. JC = 1
  1676. DO 40 J = 1, N
  1677. IF( UPPER )THEN
  1678. JJ = 1
  1679. LJ = J
  1680. ELSE
  1681. JJ = J
  1682. LJ = N - J + 1
  1683. END IF
  1684. IF( TRAN )THEN
  1685. CALL ZMMCH( TRANST, 'N', LJ, 1, K,
  1686. $ ALPHA, A( 1, JJ ), NMAX,
  1687. $ A( 1, J ), NMAX, BETA,
  1688. $ C( JJ, J ), NMAX, CT, G,
  1689. $ CC( JC ), LDC, EPS, ERR,
  1690. $ FATAL, NOUT, .TRUE. )
  1691. ELSE
  1692. CALL ZMMCH( 'N', TRANST, LJ, 1, K,
  1693. $ ALPHA, A( JJ, 1 ), NMAX,
  1694. $ A( J, 1 ), NMAX, BETA,
  1695. $ C( JJ, J ), NMAX, CT, G,
  1696. $ CC( JC ), LDC, EPS, ERR,
  1697. $ FATAL, NOUT, .TRUE. )
  1698. END IF
  1699. IF( UPPER )THEN
  1700. JC = JC + LDC
  1701. ELSE
  1702. JC = JC + LDC + 1
  1703. END IF
  1704. ERRMAX = MAX( ERRMAX, ERR )
  1705. * If got really bad answer, report and
  1706. * return.
  1707. IF( FATAL )
  1708. $ GO TO 110
  1709. 40 CONTINUE
  1710. END IF
  1711. *
  1712. 50 CONTINUE
  1713. *
  1714. 60 CONTINUE
  1715. *
  1716. 70 CONTINUE
  1717. *
  1718. 80 CONTINUE
  1719. *
  1720. 90 CONTINUE
  1721. *
  1722. 100 CONTINUE
  1723. *
  1724. * Report result.
  1725. *
  1726. IF( ERRMAX.LT.THRESH )THEN
  1727. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1728. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1729. ELSE
  1730. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1731. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1732. END IF
  1733. GO TO 130
  1734. *
  1735. 110 CONTINUE
  1736. IF( N.GT.1 )
  1737. $ WRITE( NOUT, FMT = 9995 )J
  1738. *
  1739. 120 CONTINUE
  1740. WRITE( NOUT, FMT = 9996 )SNAME
  1741. IF( CONJ )THEN
  1742. CALL ZPRCN6( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, RALPHA,
  1743. $ LDA, rBETA, LDC)
  1744. ELSE
  1745. CALL ZPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
  1746. $ LDA, BETA, LDC)
  1747. END IF
  1748. *
  1749. 130 CONTINUE
  1750. RETURN
  1751. *
  1752. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1753. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1754. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1755. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1756. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1757. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1758. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1759. $ ' (', I6, ' CALL', 'S)' )
  1760. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1761. $ ' (', I6, ' CALL', 'S)' )
  1762. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1763. $ 'ANGED INCORRECTLY *******' )
  1764. 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
  1765. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  1766. 9994 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1767. $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') ',
  1768. $ ' .' )
  1769. 9993 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1770. $ '(', F4.1, ',', F4.1, ') , A,', I3, ',(', F4.1, ',', F4.1,
  1771. $ '), C,', I3, ') .' )
  1772. 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1773. $ '******' )
  1774. *
  1775. * End of CCHK4.
  1776. *
  1777. END
  1778. *
  1779. SUBROUTINE ZPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  1780. $ N, K, ALPHA, LDA, BETA, LDC)
  1781. INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
  1782. DOUBLE COMPLEX ALPHA, BETA
  1783. CHARACTER*1 UPLO, TRANSA
  1784. CHARACTER*13 SNAME
  1785. CHARACTER*14 CRC, CU, CA
  1786. IF (UPLO.EQ.'U')THEN
  1787. CU = ' CblasUpper'
  1788. ELSE
  1789. CU = ' CblasLower'
  1790. END IF
  1791. IF (TRANSA.EQ.'N')THEN
  1792. CA = ' CblasNoTrans'
  1793. ELSE IF (TRANSA.EQ.'T')THEN
  1794. CA = ' CblasTrans'
  1795. ELSE
  1796. CA = 'CblasConjTrans'
  1797. END IF
  1798. IF (IORDER.EQ.1)THEN
  1799. CRC = ' CblasRowMajor'
  1800. ELSE
  1801. CRC = ' CblasColMajor'
  1802. END IF
  1803. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  1804. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
  1805. 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
  1806. 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1 ,'), A,',
  1807. $ I3, ', (', F4.1,',', F4.1, '), C,', I3, ').' )
  1808. END
  1809. *
  1810. *
  1811. SUBROUTINE ZPRCN6(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  1812. $ N, K, ALPHA, LDA, BETA, LDC)
  1813. INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
  1814. DOUBLE PRECISION ALPHA, BETA
  1815. CHARACTER*1 UPLO, TRANSA
  1816. CHARACTER*13 SNAME
  1817. CHARACTER*14 CRC, CU, CA
  1818. IF (UPLO.EQ.'U')THEN
  1819. CU = ' CblasUpper'
  1820. ELSE
  1821. CU = ' CblasLower'
  1822. END IF
  1823. IF (TRANSA.EQ.'N')THEN
  1824. CA = ' CblasNoTrans'
  1825. ELSE IF (TRANSA.EQ.'T')THEN
  1826. CA = ' CblasTrans'
  1827. ELSE
  1828. CA = 'CblasConjTrans'
  1829. END IF
  1830. IF (IORDER.EQ.1)THEN
  1831. CRC = ' CblasRowMajor'
  1832. ELSE
  1833. CRC = ' CblasColMajor'
  1834. END IF
  1835. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  1836. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
  1837. 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
  1838. 9994 FORMAT( 10X, 2( I3, ',' ),
  1839. $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' )
  1840. END
  1841. *
  1842. SUBROUTINE ZCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1843. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  1844. $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  1845. $ IORDER )
  1846. *
  1847. * Tests ZHER2K and ZSYR2K.
  1848. *
  1849. * Auxiliary routine for test program for Level 3 Blas.
  1850. *
  1851. * -- Written on 8-February-1989.
  1852. * Jack Dongarra, Argonne National Laboratory.
  1853. * Iain Duff, AERE Harwell.
  1854. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1855. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1856. *
  1857. * .. Parameters ..
  1858. COMPLEX*16 ZERO, ONE
  1859. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), ONE = ( 1.0D0, 0.0D0 ) )
  1860. DOUBLE PRECISION RONE, RZERO
  1861. PARAMETER ( RONE = 1.0D0, RZERO = 0.0D0 )
  1862. * .. Scalar Arguments ..
  1863. DOUBLE PRECISION EPS, THRESH
  1864. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  1865. LOGICAL FATAL, REWI, TRACE
  1866. CHARACTER*13 SNAME
  1867. * .. Array Arguments ..
  1868. COMPLEX*16 AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ),
  1869. $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ),
  1870. $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ),
  1871. $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
  1872. $ W( 2*NMAX )
  1873. DOUBLE PRECISION G( NMAX )
  1874. INTEGER IDIM( NIDIM )
  1875. * .. Local Scalars ..
  1876. COMPLEX*16 ALPHA, ALS, BETA, BETS
  1877. DOUBLE PRECISION ERR, ERRMAX, RBETA, RBETS
  1878. INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB,
  1879. $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS,
  1880. $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS
  1881. LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER
  1882. CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS
  1883. CHARACTER*2 ICHT, ICHU
  1884. * .. Local Arrays ..
  1885. LOGICAL ISAME( 13 )
  1886. * .. External Functions ..
  1887. LOGICAL LZE, LZERES
  1888. EXTERNAL LZE, LZERES
  1889. * .. External Subroutines ..
  1890. EXTERNAL CZHER2K, ZMAKE, ZMMCH, CZSYR2K
  1891. * .. Intrinsic Functions ..
  1892. INTRINSIC DCMPLX, DCONJG, MAX, DBLE
  1893. * .. Scalars in Common ..
  1894. INTEGER INFOT, NOUTC
  1895. LOGICAL LERR, OK
  1896. * .. Common blocks ..
  1897. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  1898. * .. Data statements ..
  1899. DATA ICHT/'NC'/, ICHU/'UL'/
  1900. * .. Executable Statements ..
  1901. CONJ = SNAME( 8: 9 ).EQ.'he'
  1902. *
  1903. NARGS = 12
  1904. NC = 0
  1905. RESET = .TRUE.
  1906. ERRMAX = RZERO
  1907. *
  1908. DO 130 IN = 1, NIDIM
  1909. N = IDIM( IN )
  1910. * Set LDC to 1 more than minimum value if room.
  1911. LDC = N
  1912. IF( LDC.LT.NMAX )
  1913. $ LDC = LDC + 1
  1914. * Skip tests if not enough room.
  1915. IF( LDC.GT.NMAX )
  1916. $ GO TO 130
  1917. LCC = LDC*N
  1918. *
  1919. DO 120 IK = 1, NIDIM
  1920. K = IDIM( IK )
  1921. *
  1922. DO 110 ICT = 1, 2
  1923. TRANS = ICHT( ICT: ICT )
  1924. TRAN = TRANS.EQ.'C'
  1925. IF( TRAN.AND..NOT.CONJ )
  1926. $ TRANS = 'T'
  1927. IF( TRAN )THEN
  1928. MA = K
  1929. NA = N
  1930. ELSE
  1931. MA = N
  1932. NA = K
  1933. END IF
  1934. * Set LDA to 1 more than minimum value if room.
  1935. LDA = MA
  1936. IF( LDA.LT.NMAX )
  1937. $ LDA = LDA + 1
  1938. * Skip tests if not enough room.
  1939. IF( LDA.GT.NMAX )
  1940. $ GO TO 110
  1941. LAA = LDA*NA
  1942. *
  1943. * Generate the matrix A.
  1944. *
  1945. IF( TRAN )THEN
  1946. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, AB, 2*NMAX, AA,
  1947. $ LDA, RESET, ZERO )
  1948. ELSE
  1949. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, AB, NMAX, AA, LDA,
  1950. $ RESET, ZERO )
  1951. END IF
  1952. *
  1953. * Generate the matrix B.
  1954. *
  1955. LDB = LDA
  1956. LBB = LAA
  1957. IF( TRAN )THEN
  1958. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, AB( K + 1 ),
  1959. $ 2*NMAX, BB, LDB, RESET, ZERO )
  1960. ELSE
  1961. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, AB( K*NMAX + 1 ),
  1962. $ NMAX, BB, LDB, RESET, ZERO )
  1963. END IF
  1964. *
  1965. DO 100 ICU = 1, 2
  1966. UPLO = ICHU( ICU: ICU )
  1967. UPPER = UPLO.EQ.'U'
  1968. *
  1969. DO 90 IA = 1, NALF
  1970. ALPHA = ALF( IA )
  1971. *
  1972. DO 80 IB = 1, NBET
  1973. BETA = BET( IB )
  1974. IF( CONJ )THEN
  1975. RBETA = DBLE( BETA )
  1976. BETA = DCMPLX( RBETA, RZERO )
  1977. END IF
  1978. NULL = N.LE.0
  1979. IF( CONJ )
  1980. $ NULL = NULL.OR.( ( K.LE.0.OR.ALPHA.EQ.
  1981. $ ZERO ).AND.RBETA.EQ.RONE )
  1982. *
  1983. * Generate the matrix C.
  1984. *
  1985. CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, C,
  1986. $ NMAX, CC, LDC, RESET, ZERO )
  1987. *
  1988. NC = NC + 1
  1989. *
  1990. * Save every datum before calling the subroutine.
  1991. *
  1992. UPLOS = UPLO
  1993. TRANSS = TRANS
  1994. NS = N
  1995. KS = K
  1996. ALS = ALPHA
  1997. DO 10 I = 1, LAA
  1998. AS( I ) = AA( I )
  1999. 10 CONTINUE
  2000. LDAS = LDA
  2001. DO 20 I = 1, LBB
  2002. BS( I ) = BB( I )
  2003. 20 CONTINUE
  2004. LDBS = LDB
  2005. IF( CONJ )THEN
  2006. RBETS = RBETA
  2007. ELSE
  2008. BETS = BETA
  2009. END IF
  2010. DO 30 I = 1, LCC
  2011. CS( I ) = CC( I )
  2012. 30 CONTINUE
  2013. LDCS = LDC
  2014. *
  2015. * Call the subroutine.
  2016. *
  2017. IF( CONJ )THEN
  2018. IF( TRACE )
  2019. $ CALL ZPRCN7( NTRA, NC, SNAME, IORDER,
  2020. $ UPLO, TRANS, N, K, ALPHA, LDA, LDB,
  2021. $ RBETA, LDC)
  2022. IF( REWI )
  2023. $ REWIND NTRA
  2024. CALL CZHER2K( IORDER, UPLO, TRANS, N, K,
  2025. $ ALPHA, AA, LDA, BB, LDB, RBETA,
  2026. $ CC, LDC )
  2027. ELSE
  2028. IF( TRACE )
  2029. $ CALL ZPRCN5( NTRA, NC, SNAME, IORDER,
  2030. $ UPLO, TRANS, N, K, ALPHA, LDA, LDB,
  2031. $ BETA, LDC)
  2032. IF( REWI )
  2033. $ REWIND NTRA
  2034. CALL CZSYR2K( IORDER, UPLO, TRANS, N, K,
  2035. $ ALPHA, AA, LDA, BB, LDB, BETA,
  2036. $ CC, LDC )
  2037. END IF
  2038. *
  2039. * Check if error-exit was taken incorrectly.
  2040. *
  2041. IF( .NOT.OK )THEN
  2042. WRITE( NOUT, FMT = 9992 )
  2043. FATAL = .TRUE.
  2044. GO TO 150
  2045. END IF
  2046. *
  2047. * See what data changed inside subroutines.
  2048. *
  2049. ISAME( 1 ) = UPLOS.EQ.UPLO
  2050. ISAME( 2 ) = TRANSS.EQ.TRANS
  2051. ISAME( 3 ) = NS.EQ.N
  2052. ISAME( 4 ) = KS.EQ.K
  2053. ISAME( 5 ) = ALS.EQ.ALPHA
  2054. ISAME( 6 ) = LZE( AS, AA, LAA )
  2055. ISAME( 7 ) = LDAS.EQ.LDA
  2056. ISAME( 8 ) = LZE( BS, BB, LBB )
  2057. ISAME( 9 ) = LDBS.EQ.LDB
  2058. IF( CONJ )THEN
  2059. ISAME( 10 ) = RBETS.EQ.RBETA
  2060. ELSE
  2061. ISAME( 10 ) = BETS.EQ.BETA
  2062. END IF
  2063. IF( NULL )THEN
  2064. ISAME( 11 ) = LZE( CS, CC, LCC )
  2065. ELSE
  2066. ISAME( 11 ) = LZERES( 'he', UPLO, N, N, CS,
  2067. $ CC, LDC )
  2068. END IF
  2069. ISAME( 12 ) = LDCS.EQ.LDC
  2070. *
  2071. * If data was incorrectly changed, report and
  2072. * return.
  2073. *
  2074. SAME = .TRUE.
  2075. DO 40 I = 1, NARGS
  2076. SAME = SAME.AND.ISAME( I )
  2077. IF( .NOT.ISAME( I ) )
  2078. $ WRITE( NOUT, FMT = 9998 )I
  2079. 40 CONTINUE
  2080. IF( .NOT.SAME )THEN
  2081. FATAL = .TRUE.
  2082. GO TO 150
  2083. END IF
  2084. *
  2085. IF( .NOT.NULL )THEN
  2086. *
  2087. * Check the result column by column.
  2088. *
  2089. IF( CONJ )THEN
  2090. TRANST = 'C'
  2091. ELSE
  2092. TRANST = 'T'
  2093. END IF
  2094. JJAB = 1
  2095. JC = 1
  2096. DO 70 J = 1, N
  2097. IF( UPPER )THEN
  2098. JJ = 1
  2099. LJ = J
  2100. ELSE
  2101. JJ = J
  2102. LJ = N - J + 1
  2103. END IF
  2104. IF( TRAN )THEN
  2105. DO 50 I = 1, K
  2106. W( I ) = ALPHA*AB( ( J - 1 )*2*
  2107. $ NMAX + K + I )
  2108. IF( CONJ )THEN
  2109. W( K + I ) = DCONJG( ALPHA )*
  2110. $ AB( ( J - 1 )*2*
  2111. $ NMAX + I )
  2112. ELSE
  2113. W( K + I ) = ALPHA*
  2114. $ AB( ( J - 1 )*2*
  2115. $ NMAX + I )
  2116. END IF
  2117. 50 CONTINUE
  2118. CALL ZMMCH( TRANST, 'N', LJ, 1, 2*K,
  2119. $ ONE, AB( JJAB ), 2*NMAX, W,
  2120. $ 2*NMAX, BETA, C( JJ, J ),
  2121. $ NMAX, CT, G, CC( JC ), LDC,
  2122. $ EPS, ERR, FATAL, NOUT,
  2123. $ .TRUE. )
  2124. ELSE
  2125. DO 60 I = 1, K
  2126. IF( CONJ )THEN
  2127. W( I ) = ALPHA*DCONJG( AB( ( K +
  2128. $ I - 1 )*NMAX + J ) )
  2129. W( K + I ) = DCONJG( ALPHA*
  2130. $ AB( ( I - 1 )*NMAX +
  2131. $ J ) )
  2132. ELSE
  2133. W( I ) = ALPHA*AB( ( K + I - 1 )*
  2134. $ NMAX + J )
  2135. W( K + I ) = ALPHA*
  2136. $ AB( ( I - 1 )*NMAX +
  2137. $ J )
  2138. END IF
  2139. 60 CONTINUE
  2140. CALL ZMMCH( 'N', 'N', LJ, 1, 2*K, ONE,
  2141. $ AB( JJ ), NMAX, W, 2*NMAX,
  2142. $ BETA, C( JJ, J ), NMAX, CT,
  2143. $ G, CC( JC ), LDC, EPS, ERR,
  2144. $ FATAL, NOUT, .TRUE. )
  2145. END IF
  2146. IF( UPPER )THEN
  2147. JC = JC + LDC
  2148. ELSE
  2149. JC = JC + LDC + 1
  2150. IF( TRAN )
  2151. $ JJAB = JJAB + 2*NMAX
  2152. END IF
  2153. ERRMAX = MAX( ERRMAX, ERR )
  2154. * If got really bad answer, report and
  2155. * return.
  2156. IF( FATAL )
  2157. $ GO TO 140
  2158. 70 CONTINUE
  2159. END IF
  2160. *
  2161. 80 CONTINUE
  2162. *
  2163. 90 CONTINUE
  2164. *
  2165. 100 CONTINUE
  2166. *
  2167. 110 CONTINUE
  2168. *
  2169. 120 CONTINUE
  2170. *
  2171. 130 CONTINUE
  2172. *
  2173. * Report result.
  2174. *
  2175. IF( ERRMAX.LT.THRESH )THEN
  2176. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  2177. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  2178. ELSE
  2179. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  2180. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  2181. END IF
  2182. GO TO 160
  2183. *
  2184. 140 CONTINUE
  2185. IF( N.GT.1 )
  2186. $ WRITE( NOUT, FMT = 9995 )J
  2187. *
  2188. 150 CONTINUE
  2189. WRITE( NOUT, FMT = 9996 )SNAME
  2190. IF( CONJ )THEN
  2191. CALL ZPRCN7( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K,
  2192. $ ALPHA, LDA, LDB, RBETA, LDC)
  2193. ELSE
  2194. CALL ZPRCN5( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K,
  2195. $ ALPHA, LDA, LDB, BETA, LDC)
  2196. END IF
  2197. *
  2198. 160 CONTINUE
  2199. RETURN
  2200. *
  2201. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  2202. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2203. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2204. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  2205. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2206. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2207. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  2208. $ ' (', I6, ' CALL', 'S)' )
  2209. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  2210. $ ' (', I6, ' CALL', 'S)' )
  2211. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  2212. $ 'ANGED INCORRECTLY *******' )
  2213. 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
  2214. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2215. 9994 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  2216. $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',', F4.1,
  2217. $ ', C,', I3, ') .' )
  2218. 9993 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  2219. $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1,
  2220. $ ',', F4.1, '), C,', I3, ') .' )
  2221. 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  2222. $ '******' )
  2223. *
  2224. * End of ZCHK5.
  2225. *
  2226. END
  2227. *
  2228. SUBROUTINE ZPRCN5(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  2229. $ N, K, ALPHA, LDA, LDB, BETA, LDC)
  2230. INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
  2231. DOUBLE COMPLEX ALPHA, BETA
  2232. CHARACTER*1 UPLO, TRANSA
  2233. CHARACTER*13 SNAME
  2234. CHARACTER*14 CRC, CU, CA
  2235. IF (UPLO.EQ.'U')THEN
  2236. CU = ' CblasUpper'
  2237. ELSE
  2238. CU = ' CblasLower'
  2239. END IF
  2240. IF (TRANSA.EQ.'N')THEN
  2241. CA = ' CblasNoTrans'
  2242. ELSE IF (TRANSA.EQ.'T')THEN
  2243. CA = ' CblasTrans'
  2244. ELSE
  2245. CA = 'CblasConjTrans'
  2246. END IF
  2247. IF (IORDER.EQ.1)THEN
  2248. CRC = ' CblasRowMajor'
  2249. ELSE
  2250. CRC = ' CblasColMajor'
  2251. END IF
  2252. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  2253. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
  2254. 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
  2255. 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1, '), A,',
  2256. $ I3, ', B', I3, ', (', F4.1, ',', F4.1, '), C,', I3, ').' )
  2257. END
  2258. *
  2259. *
  2260. SUBROUTINE ZPRCN7(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  2261. $ N, K, ALPHA, LDA, LDB, BETA, LDC)
  2262. INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
  2263. DOUBLE COMPLEX ALPHA
  2264. DOUBLE PRECISION BETA
  2265. CHARACTER*1 UPLO, TRANSA
  2266. CHARACTER*13 SNAME
  2267. CHARACTER*14 CRC, CU, CA
  2268. IF (UPLO.EQ.'U')THEN
  2269. CU = ' CblasUpper'
  2270. ELSE
  2271. CU = ' CblasLower'
  2272. END IF
  2273. IF (TRANSA.EQ.'N')THEN
  2274. CA = ' CblasNoTrans'
  2275. ELSE IF (TRANSA.EQ.'T')THEN
  2276. CA = ' CblasTrans'
  2277. ELSE
  2278. CA = 'CblasConjTrans'
  2279. END IF
  2280. IF (IORDER.EQ.1)THEN
  2281. CRC = ' CblasRowMajor'
  2282. ELSE
  2283. CRC = ' CblasColMajor'
  2284. END IF
  2285. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  2286. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
  2287. 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
  2288. 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1, '), A,',
  2289. $ I3, ', B', I3, ',', F4.1, ', C,', I3, ').' )
  2290. END
  2291. *
  2292. SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET,
  2293. $ TRANSL )
  2294. *
  2295. * Generates values for an M by N matrix A.
  2296. * Stores the values in the array AA in the data structure required
  2297. * by the routine, with unwanted elements set to rogue value.
  2298. *
  2299. * TYPE is 'ge', 'he', 'sy' or 'tr'.
  2300. *
  2301. * Auxiliary routine for test program for Level 3 Blas.
  2302. *
  2303. * -- Written on 8-February-1989.
  2304. * Jack Dongarra, Argonne National Laboratory.
  2305. * Iain Duff, AERE Harwell.
  2306. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2307. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2308. *
  2309. * .. Parameters ..
  2310. COMPLEX*16 ZERO, ONE
  2311. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  2312. $ ONE = ( 1.0D0, 0.0D0 ) )
  2313. COMPLEX*16 ROGUE
  2314. PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
  2315. DOUBLE PRECISION RZERO
  2316. PARAMETER ( RZERO = 0.0D0 )
  2317. DOUBLE PRECISION RROGUE
  2318. PARAMETER ( RROGUE = -1.0D10 )
  2319. * .. Scalar Arguments ..
  2320. COMPLEX*16 TRANSL
  2321. INTEGER LDA, M, N, NMAX
  2322. LOGICAL RESET
  2323. CHARACTER*1 DIAG, UPLO
  2324. CHARACTER*2 TYPE
  2325. * .. Array Arguments ..
  2326. COMPLEX*16 A( NMAX, * ), AA( * )
  2327. * .. Local Scalars ..
  2328. INTEGER I, IBEG, IEND, J, JJ
  2329. LOGICAL GEN, HER, LOWER, SYM, TRI, UNIT, UPPER
  2330. * .. External Functions ..
  2331. COMPLEX*16 ZBEG
  2332. EXTERNAL ZBEG
  2333. * .. Intrinsic Functions ..
  2334. INTRINSIC DCMPLX, DCONJG, DBLE
  2335. * .. Executable Statements ..
  2336. GEN = TYPE.EQ.'ge'
  2337. HER = TYPE.EQ.'he'
  2338. SYM = TYPE.EQ.'sy'
  2339. TRI = TYPE.EQ.'tr'
  2340. UPPER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'U'
  2341. LOWER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'L'
  2342. UNIT = TRI.AND.DIAG.EQ.'U'
  2343. *
  2344. * Generate data in array A.
  2345. *
  2346. DO 20 J = 1, N
  2347. DO 10 I = 1, M
  2348. IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
  2349. $ THEN
  2350. A( I, J ) = ZBEG( RESET ) + TRANSL
  2351. IF( I.NE.J )THEN
  2352. * Set some elements to zero
  2353. IF( N.GT.3.AND.J.EQ.N/2 )
  2354. $ A( I, J ) = ZERO
  2355. IF( HER )THEN
  2356. A( J, I ) = DCONJG( A( I, J ) )
  2357. ELSE IF( SYM )THEN
  2358. A( J, I ) = A( I, J )
  2359. ELSE IF( TRI )THEN
  2360. A( J, I ) = ZERO
  2361. END IF
  2362. END IF
  2363. END IF
  2364. 10 CONTINUE
  2365. IF( HER )
  2366. $ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
  2367. IF( TRI )
  2368. $ A( J, J ) = A( J, J ) + ONE
  2369. IF( UNIT )
  2370. $ A( J, J ) = ONE
  2371. 20 CONTINUE
  2372. *
  2373. * Store elements in array AS in data structure required by routine.
  2374. *
  2375. IF( TYPE.EQ.'ge' )THEN
  2376. DO 50 J = 1, N
  2377. DO 30 I = 1, M
  2378. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2379. 30 CONTINUE
  2380. DO 40 I = M + 1, LDA
  2381. AA( I + ( J - 1 )*LDA ) = ROGUE
  2382. 40 CONTINUE
  2383. 50 CONTINUE
  2384. ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'sy'.OR.TYPE.EQ.'tr' )THEN
  2385. DO 90 J = 1, N
  2386. IF( UPPER )THEN
  2387. IBEG = 1
  2388. IF( UNIT )THEN
  2389. IEND = J - 1
  2390. ELSE
  2391. IEND = J
  2392. END IF
  2393. ELSE
  2394. IF( UNIT )THEN
  2395. IBEG = J + 1
  2396. ELSE
  2397. IBEG = J
  2398. END IF
  2399. IEND = N
  2400. END IF
  2401. DO 60 I = 1, IBEG - 1
  2402. AA( I + ( J - 1 )*LDA ) = ROGUE
  2403. 60 CONTINUE
  2404. DO 70 I = IBEG, IEND
  2405. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2406. 70 CONTINUE
  2407. DO 80 I = IEND + 1, LDA
  2408. AA( I + ( J - 1 )*LDA ) = ROGUE
  2409. 80 CONTINUE
  2410. IF( HER )THEN
  2411. JJ = J + ( J - 1 )*LDA
  2412. AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
  2413. END IF
  2414. 90 CONTINUE
  2415. END IF
  2416. RETURN
  2417. *
  2418. * End of ZMAKE.
  2419. *
  2420. END
  2421. SUBROUTINE ZMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB,
  2422. $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL,
  2423. $ NOUT, MV )
  2424. *
  2425. * Checks the results of the computational tests.
  2426. *
  2427. * Auxiliary routine for test program for Level 3 Blas.
  2428. *
  2429. * -- Written on 8-February-1989.
  2430. * Jack Dongarra, Argonne National Laboratory.
  2431. * Iain Duff, AERE Harwell.
  2432. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2433. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2434. *
  2435. * .. Parameters ..
  2436. COMPLEX*16 ZERO
  2437. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
  2438. DOUBLE PRECISION RZERO, RONE
  2439. PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
  2440. * .. Scalar Arguments ..
  2441. COMPLEX*16 ALPHA, BETA
  2442. DOUBLE PRECISION EPS, ERR
  2443. INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT
  2444. LOGICAL FATAL, MV
  2445. CHARACTER*1 TRANSA, TRANSB
  2446. * .. Array Arguments ..
  2447. COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * ),
  2448. $ CC( LDCC, * ), CT( * )
  2449. DOUBLE PRECISION G( * )
  2450. * .. Local Scalars ..
  2451. COMPLEX*16 CL
  2452. DOUBLE PRECISION ERRI
  2453. INTEGER I, J, K
  2454. LOGICAL CTRANA, CTRANB, TRANA, TRANB
  2455. * .. Intrinsic Functions ..
  2456. INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT
  2457. * .. Statement Functions ..
  2458. DOUBLE PRECISION ABS1
  2459. * .. Statement Function definitions ..
  2460. ABS1( CL ) = ABS( DBLE( CL ) ) + ABS( DIMAG( CL ) )
  2461. * .. Executable Statements ..
  2462. TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
  2463. TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
  2464. CTRANA = TRANSA.EQ.'C'
  2465. CTRANB = TRANSB.EQ.'C'
  2466. *
  2467. * Compute expected result, one column at a time, in CT using data
  2468. * in A, B and C.
  2469. * Compute gauges in G.
  2470. *
  2471. DO 220 J = 1, N
  2472. *
  2473. DO 10 I = 1, M
  2474. CT( I ) = ZERO
  2475. G( I ) = RZERO
  2476. 10 CONTINUE
  2477. IF( .NOT.TRANA.AND..NOT.TRANB )THEN
  2478. DO 30 K = 1, KK
  2479. DO 20 I = 1, M
  2480. CT( I ) = CT( I ) + A( I, K )*B( K, J )
  2481. G( I ) = G( I ) + ABS1( A( I, K ) )*ABS1( B( K, J ) )
  2482. 20 CONTINUE
  2483. 30 CONTINUE
  2484. ELSE IF( TRANA.AND..NOT.TRANB )THEN
  2485. IF( CTRANA )THEN
  2486. DO 50 K = 1, KK
  2487. DO 40 I = 1, M
  2488. CT( I ) = CT( I ) + DCONJG( A( K, I ) )*B( K, J )
  2489. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2490. $ ABS1( B( K, J ) )
  2491. 40 CONTINUE
  2492. 50 CONTINUE
  2493. ELSE
  2494. DO 70 K = 1, KK
  2495. DO 60 I = 1, M
  2496. CT( I ) = CT( I ) + A( K, I )*B( K, J )
  2497. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2498. $ ABS1( B( K, J ) )
  2499. 60 CONTINUE
  2500. 70 CONTINUE
  2501. END IF
  2502. ELSE IF( .NOT.TRANA.AND.TRANB )THEN
  2503. IF( CTRANB )THEN
  2504. DO 90 K = 1, KK
  2505. DO 80 I = 1, M
  2506. CT( I ) = CT( I ) + A( I, K )*DCONJG( B( J, K ) )
  2507. G( I ) = G( I ) + ABS1( A( I, K ) )*
  2508. $ ABS1( B( J, K ) )
  2509. 80 CONTINUE
  2510. 90 CONTINUE
  2511. ELSE
  2512. DO 110 K = 1, KK
  2513. DO 100 I = 1, M
  2514. CT( I ) = CT( I ) + A( I, K )*B( J, K )
  2515. G( I ) = G( I ) + ABS1( A( I, K ) )*
  2516. $ ABS1( B( J, K ) )
  2517. 100 CONTINUE
  2518. 110 CONTINUE
  2519. END IF
  2520. ELSE IF( TRANA.AND.TRANB )THEN
  2521. IF( CTRANA )THEN
  2522. IF( CTRANB )THEN
  2523. DO 130 K = 1, KK
  2524. DO 120 I = 1, M
  2525. CT( I ) = CT( I ) + DCONJG( A( K, I ) )*
  2526. $ DCONJG( B( J, K ) )
  2527. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2528. $ ABS1( B( J, K ) )
  2529. 120 CONTINUE
  2530. 130 CONTINUE
  2531. ELSE
  2532. DO 150 K = 1, KK
  2533. DO 140 I = 1, M
  2534. CT( I ) = CT( I ) + DCONJG( A( K, I ) )*
  2535. $ B( J, K )
  2536. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2537. $ ABS1( B( J, K ) )
  2538. 140 CONTINUE
  2539. 150 CONTINUE
  2540. END IF
  2541. ELSE
  2542. IF( CTRANB )THEN
  2543. DO 170 K = 1, KK
  2544. DO 160 I = 1, M
  2545. CT( I ) = CT( I ) + A( K, I )*
  2546. $ DCONJG( B( J, K ) )
  2547. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2548. $ ABS1( B( J, K ) )
  2549. 160 CONTINUE
  2550. 170 CONTINUE
  2551. ELSE
  2552. DO 190 K = 1, KK
  2553. DO 180 I = 1, M
  2554. CT( I ) = CT( I ) + A( K, I )*B( J, K )
  2555. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2556. $ ABS1( B( J, K ) )
  2557. 180 CONTINUE
  2558. 190 CONTINUE
  2559. END IF
  2560. END IF
  2561. END IF
  2562. DO 200 I = 1, M
  2563. CT( I ) = ALPHA*CT( I ) + BETA*C( I, J )
  2564. G( I ) = ABS1( ALPHA )*G( I ) +
  2565. $ ABS1( BETA )*ABS1( C( I, J ) )
  2566. 200 CONTINUE
  2567. *
  2568. * Compute the error ratio for this result.
  2569. *
  2570. ERR = ZERO
  2571. DO 210 I = 1, M
  2572. ERRI = ABS1( CT( I ) - CC( I, J ) )/EPS
  2573. IF( G( I ).NE.RZERO )
  2574. $ ERRI = ERRI/G( I )
  2575. ERR = MAX( ERR, ERRI )
  2576. IF( ERR*SQRT( EPS ).GE.RONE )
  2577. $ GO TO 230
  2578. 210 CONTINUE
  2579. *
  2580. 220 CONTINUE
  2581. *
  2582. * If the loop completes, all results are at least half accurate.
  2583. GO TO 250
  2584. *
  2585. * Report fatal error.
  2586. *
  2587. 230 FATAL = .TRUE.
  2588. WRITE( NOUT, FMT = 9999 )
  2589. DO 240 I = 1, M
  2590. IF( MV )THEN
  2591. WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J )
  2592. ELSE
  2593. WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I )
  2594. END IF
  2595. 240 CONTINUE
  2596. IF( N.GT.1 )
  2597. $ WRITE( NOUT, FMT = 9997 )J
  2598. *
  2599. 250 CONTINUE
  2600. RETURN
  2601. *
  2602. 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
  2603. $ 'F ACCURATE *******', /' EXPECTED RE',
  2604. $ 'SULT COMPUTED RESULT' )
  2605. 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
  2606. 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2607. *
  2608. * End of ZMMCH.
  2609. *
  2610. END
  2611. LOGICAL FUNCTION LZE( RI, RJ, LR )
  2612. *
  2613. * Tests if two arrays are identical.
  2614. *
  2615. * Auxiliary routine for test program for Level 3 Blas.
  2616. *
  2617. * -- Written on 8-February-1989.
  2618. * Jack Dongarra, Argonne National Laboratory.
  2619. * Iain Duff, AERE Harwell.
  2620. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2621. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2622. *
  2623. * .. Scalar Arguments ..
  2624. INTEGER LR
  2625. * .. Array Arguments ..
  2626. COMPLEX*16 RI( * ), RJ( * )
  2627. * .. Local Scalars ..
  2628. INTEGER I
  2629. * .. Executable Statements ..
  2630. DO 10 I = 1, LR
  2631. IF( RI( I ).NE.RJ( I ) )
  2632. $ GO TO 20
  2633. 10 CONTINUE
  2634. LZE = .TRUE.
  2635. GO TO 30
  2636. 20 CONTINUE
  2637. LZE = .FALSE.
  2638. 30 RETURN
  2639. *
  2640. * End of LZE.
  2641. *
  2642. END
  2643. LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
  2644. *
  2645. * Tests if selected elements in two arrays are equal.
  2646. *
  2647. * TYPE is 'ge' or 'he' or 'sy'.
  2648. *
  2649. * Auxiliary routine for test program for Level 3 Blas.
  2650. *
  2651. * -- Written on 8-February-1989.
  2652. * Jack Dongarra, Argonne National Laboratory.
  2653. * Iain Duff, AERE Harwell.
  2654. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2655. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2656. *
  2657. * .. Scalar Arguments ..
  2658. INTEGER LDA, M, N
  2659. CHARACTER*1 UPLO
  2660. CHARACTER*2 TYPE
  2661. * .. Array Arguments ..
  2662. COMPLEX*16 AA( LDA, * ), AS( LDA, * )
  2663. * .. Local Scalars ..
  2664. INTEGER I, IBEG, IEND, J
  2665. LOGICAL UPPER
  2666. * .. Executable Statements ..
  2667. UPPER = UPLO.EQ.'U'
  2668. IF( TYPE.EQ.'ge' )THEN
  2669. DO 20 J = 1, N
  2670. DO 10 I = M + 1, LDA
  2671. IF( AA( I, J ).NE.AS( I, J ) )
  2672. $ GO TO 70
  2673. 10 CONTINUE
  2674. 20 CONTINUE
  2675. ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'sy' )THEN
  2676. DO 50 J = 1, N
  2677. IF( UPPER )THEN
  2678. IBEG = 1
  2679. IEND = J
  2680. ELSE
  2681. IBEG = J
  2682. IEND = N
  2683. END IF
  2684. DO 30 I = 1, IBEG - 1
  2685. IF( AA( I, J ).NE.AS( I, J ) )
  2686. $ GO TO 70
  2687. 30 CONTINUE
  2688. DO 40 I = IEND + 1, LDA
  2689. IF( AA( I, J ).NE.AS( I, J ) )
  2690. $ GO TO 70
  2691. 40 CONTINUE
  2692. 50 CONTINUE
  2693. END IF
  2694. *
  2695. 60 CONTINUE
  2696. LZERES = .TRUE.
  2697. GO TO 80
  2698. 70 CONTINUE
  2699. LZERES = .FALSE.
  2700. 80 RETURN
  2701. *
  2702. * End of LZERES.
  2703. *
  2704. END
  2705. COMPLEX*16 FUNCTION ZBEG( RESET )
  2706. *
  2707. * Generates complex numbers as pairs of random numbers uniformly
  2708. * distributed between -0.5 and 0.5.
  2709. *
  2710. * Auxiliary routine for test program for Level 3 Blas.
  2711. *
  2712. * -- Written on 8-February-1989.
  2713. * Jack Dongarra, Argonne National Laboratory.
  2714. * Iain Duff, AERE Harwell.
  2715. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2716. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2717. *
  2718. * .. Scalar Arguments ..
  2719. LOGICAL RESET
  2720. * .. Local Scalars ..
  2721. INTEGER I, IC, J, MI, MJ
  2722. * .. Save statement ..
  2723. SAVE I, IC, J, MI, MJ
  2724. * .. Intrinsic Functions ..
  2725. INTRINSIC DCMPLX
  2726. * .. Executable Statements ..
  2727. IF( RESET )THEN
  2728. * Initialize local variables.
  2729. MI = 891
  2730. MJ = 457
  2731. I = 7
  2732. J = 7
  2733. IC = 0
  2734. RESET = .FALSE.
  2735. END IF
  2736. *
  2737. * The sequence of values of I or J is bounded between 1 and 999.
  2738. * If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
  2739. * If initial I or J = 4 or 8, the period will be 25.
  2740. * If initial I or J = 5, the period will be 10.
  2741. * IC is used to break up the period by skipping 1 value of I or J
  2742. * in 6.
  2743. *
  2744. IC = IC + 1
  2745. 10 I = I*MI
  2746. J = J*MJ
  2747. I = I - 1000*( I/1000 )
  2748. J = J - 1000*( J/1000 )
  2749. IF( IC.GE.5 )THEN
  2750. IC = 0
  2751. GO TO 10
  2752. END IF
  2753. ZBEG = DCMPLX( ( I - 500 )/1001.0D0, ( J - 500 )/1001.0D0 )
  2754. RETURN
  2755. *
  2756. * End of ZBEG.
  2757. *
  2758. END
  2759. DOUBLE PRECISION FUNCTION DDIFF( X, Y )
  2760. *
  2761. * Auxiliary routine for test program for Level 3 Blas.
  2762. *
  2763. * -- Written on 8-February-1989.
  2764. * Jack Dongarra, Argonne National Laboratory.
  2765. * Iain Duff, AERE Harwell.
  2766. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2767. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2768. *
  2769. * .. Scalar Arguments ..
  2770. DOUBLE PRECISION X, Y
  2771. * .. Executable Statements ..
  2772. DDIFF = X - Y
  2773. RETURN
  2774. *
  2775. * End of DDIFF.
  2776. *
  2777. END