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c_zblat3_3m.f 100 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 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. * 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. STOP
  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. STOP
  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. STOP
  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. STOP
  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. STOP
  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. STOP
  388. *
  389. 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
  390. 10001 FORMAT(' ROW-MAJOR DATA LAYOUT IS TESTED' )
  391. 10000 FORMAT(' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
  392. 9999 FORMAT(' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
  393. $ 'S THAN', F8.2 )
  394. 9998 FORMAT(' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
  395. 9997 FORMAT(' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
  396. $ 'THAN ', I2 )
  397. 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
  398. 9995 FORMAT('TESTS OF THE COMPLEX*16 LEVEL 3 BLAS', //' THE F',
  399. $ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
  400. 9994 FORMAT( ' FOR N ', 9I6 )
  401. 9993 FORMAT( ' FOR ALPHA ',
  402. $ 7( '(', F4.1, ',', F4.1, ') ', : ) )
  403. 9992 FORMAT( ' FOR BETA ',
  404. $ 7( '(', F4.1, ',', F4.1, ') ', : ) )
  405. 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
  406. $ /' ******* TESTS ABANDONED *******' )
  407. 9990 FORMAT(' SUBPROGRAM NAME ', A13,' NOT RECOGNIZED', /' ******* T',
  408. $ 'ESTS ABANDONED *******' )
  409. 9989 FORMAT(' ERROR IN ZMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
  410. $ 'ATED WRONGLY.', /' ZMMCH WAS CALLED WITH TRANSA = ', A1,
  411. $ 'AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ',
  412. $ ' ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ',
  413. $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ',
  414. $ '*******' )
  415. 9988 FORMAT( A13,L2 )
  416. 9987 FORMAT( 1X, A13,' WAS NOT TESTED' )
  417. 9986 FORMAT( /' END OF TESTS' )
  418. 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
  419. 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
  420. *
  421. * End of ZBLAT3.
  422. *
  423. END
  424. SUBROUTINE ZCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  425. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  426. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  427. $ IORDER )
  428. *
  429. * Tests ZGEMM.
  430. *
  431. * Auxiliary routine for test program for Level 3 Blas.
  432. *
  433. * -- Written on 8-February-1989.
  434. * Jack Dongarra, Argonne National Laboratory.
  435. * Iain Duff, AERE Harwell.
  436. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  437. * Sven Hammarling, Numerical Algorithms Group Ltd.
  438. *
  439. * .. Parameters ..
  440. COMPLEX*16 ZERO
  441. PARAMETER ( ZERO = ( 0.0, 0.0 ) )
  442. DOUBLE PRECISION RZERO
  443. PARAMETER ( RZERO = 0.0 )
  444. * .. Scalar Arguments ..
  445. DOUBLE PRECISION EPS, THRESH
  446. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  447. LOGICAL FATAL, REWI, TRACE
  448. CHARACTER*13 SNAME
  449. * .. Array Arguments ..
  450. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  451. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  452. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  453. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  454. $ CS( NMAX*NMAX ), CT( NMAX )
  455. DOUBLE PRECISION G( NMAX )
  456. INTEGER IDIM( NIDIM )
  457. * .. Local Scalars ..
  458. COMPLEX*16 ALPHA, ALS, BETA, BLS
  459. DOUBLE PRECISION ERR, ERRMAX
  460. INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA,
  461. $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M,
  462. $ MA, MB, MS, N, NA, NARGS, NB, NC, NS
  463. LOGICAL NULL, RESET, SAME, TRANA, TRANB
  464. CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB
  465. CHARACTER*3 ICH
  466. * .. Local Arrays ..
  467. LOGICAL ISAME( 13 )
  468. * .. External Functions ..
  469. LOGICAL LZE, LZERES
  470. EXTERNAL LZE, LZERES
  471. * .. External Subroutines ..
  472. EXTERNAL CZGEMM3M, ZMAKE, ZMMCH
  473. * .. Intrinsic Functions ..
  474. INTRINSIC MAX
  475. * .. Scalars in Common ..
  476. INTEGER INFOT, NOUTC
  477. LOGICAL LERR, OK
  478. * .. Common blocks ..
  479. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  480. * .. Data statements ..
  481. DATA ICH/'NTC'/
  482. * .. Executable Statements ..
  483. *
  484. NARGS = 13
  485. NC = 0
  486. RESET = .TRUE.
  487. ERRMAX = RZERO
  488. *
  489. DO 110 IM = 1, NIDIM
  490. M = IDIM( IM )
  491. *
  492. DO 100 IN = 1, NIDIM
  493. N = IDIM( IN )
  494. * Set LDC to 1 more than minimum value if room.
  495. LDC = M
  496. IF( LDC.LT.NMAX )
  497. $ LDC = LDC + 1
  498. * Skip tests if not enough room.
  499. IF( LDC.GT.NMAX )
  500. $ GO TO 100
  501. LCC = LDC*N
  502. NULL = N.LE.0.OR.M.LE.0
  503. *
  504. DO 90 IK = 1, NIDIM
  505. K = IDIM( IK )
  506. *
  507. DO 80 ICA = 1, 3
  508. TRANSA = ICH( ICA: ICA )
  509. TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
  510. *
  511. IF( TRANA )THEN
  512. MA = K
  513. NA = M
  514. ELSE
  515. MA = M
  516. NA = K
  517. END IF
  518. * Set LDA to 1 more than minimum value if room.
  519. LDA = MA
  520. IF( LDA.LT.NMAX )
  521. $ LDA = LDA + 1
  522. * Skip tests if not enough room.
  523. IF( LDA.GT.NMAX )
  524. $ GO TO 80
  525. LAA = LDA*NA
  526. *
  527. * Generate the matrix A.
  528. *
  529. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
  530. $ RESET, ZERO )
  531. *
  532. DO 70 ICB = 1, 3
  533. TRANSB = ICH( ICB: ICB )
  534. TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
  535. *
  536. IF( TRANB )THEN
  537. MB = N
  538. NB = K
  539. ELSE
  540. MB = K
  541. NB = N
  542. END IF
  543. * Set LDB to 1 more than minimum value if room.
  544. LDB = MB
  545. IF( LDB.LT.NMAX )
  546. $ LDB = LDB + 1
  547. * Skip tests if not enough room.
  548. IF( LDB.GT.NMAX )
  549. $ GO TO 70
  550. LBB = LDB*NB
  551. *
  552. * Generate the matrix B.
  553. *
  554. CALL ZMAKE( 'ge', ' ', ' ', MB, NB, B, NMAX, BB,
  555. $ LDB, RESET, ZERO )
  556. *
  557. DO 60 IA = 1, NALF
  558. ALPHA = ALF( IA )
  559. *
  560. DO 50 IB = 1, NBET
  561. BETA = BET( IB )
  562. *
  563. * Generate the matrix C.
  564. *
  565. CALL ZMAKE( 'ge', ' ', ' ', M, N, C, NMAX,
  566. $ CC, LDC, RESET, ZERO )
  567. *
  568. NC = NC + 1
  569. *
  570. * Save every datum before calling the
  571. * subroutine.
  572. *
  573. TRANAS = TRANSA
  574. TRANBS = TRANSB
  575. MS = M
  576. NS = N
  577. KS = K
  578. ALS = ALPHA
  579. DO 10 I = 1, LAA
  580. AS( I ) = AA( I )
  581. 10 CONTINUE
  582. LDAS = LDA
  583. DO 20 I = 1, LBB
  584. BS( I ) = BB( I )
  585. 20 CONTINUE
  586. LDBS = LDB
  587. BLS = BETA
  588. DO 30 I = 1, LCC
  589. CS( I ) = CC( I )
  590. 30 CONTINUE
  591. LDCS = LDC
  592. *
  593. * Call the subroutine.
  594. *
  595. IF( TRACE )
  596. $ CALL ZPRCN1(NTRA, NC, SNAME, IORDER,
  597. $ TRANSA, TRANSB, M, N, K, ALPHA, LDA,
  598. $ LDB, BETA, LDC)
  599. IF( REWI )
  600. $ REWIND NTRA
  601. CALL CZGEMM3M( IORDER, TRANSA, TRANSB, M, N,
  602. $ K, ALPHA, AA, LDA, BB, LDB,
  603. $ BETA, CC, LDC )
  604. *
  605. * Check if error-exit was taken incorrectly.
  606. *
  607. IF( .NOT.OK )THEN
  608. WRITE( NOUT, FMT = 9994 )
  609. FATAL = .TRUE.
  610. GO TO 120
  611. END IF
  612. *
  613. * See what data changed inside subroutines.
  614. *
  615. ISAME( 1 ) = TRANSA.EQ.TRANAS
  616. ISAME( 2 ) = TRANSB.EQ.TRANBS
  617. ISAME( 3 ) = MS.EQ.M
  618. ISAME( 4 ) = NS.EQ.N
  619. ISAME( 5 ) = KS.EQ.K
  620. ISAME( 6 ) = ALS.EQ.ALPHA
  621. ISAME( 7 ) = LZE( AS, AA, LAA )
  622. ISAME( 8 ) = LDAS.EQ.LDA
  623. ISAME( 9 ) = LZE( BS, BB, LBB )
  624. ISAME( 10 ) = LDBS.EQ.LDB
  625. ISAME( 11 ) = BLS.EQ.BETA
  626. IF( NULL )THEN
  627. ISAME( 12 ) = LZE( CS, CC, LCC )
  628. ELSE
  629. ISAME( 12 ) = LZERES( 'ge', ' ', M, N, CS,
  630. $ CC, LDC )
  631. END IF
  632. ISAME( 13 ) = LDCS.EQ.LDC
  633. *
  634. * If data was incorrectly changed, report
  635. * and return.
  636. *
  637. SAME = .TRUE.
  638. DO 40 I = 1, NARGS
  639. SAME = SAME.AND.ISAME( I )
  640. IF( .NOT.ISAME( I ) )
  641. $ WRITE( NOUT, FMT = 9998 )I
  642. 40 CONTINUE
  643. IF( .NOT.SAME )THEN
  644. FATAL = .TRUE.
  645. GO TO 120
  646. END IF
  647. *
  648. IF( .NOT.NULL )THEN
  649. *
  650. * Check the result.
  651. *
  652. CALL ZMMCH( TRANSA, TRANSB, M, N, K,
  653. $ ALPHA, A, NMAX, B, NMAX, BETA,
  654. $ C, NMAX, CT, G, CC, LDC, EPS,
  655. $ ERR, FATAL, NOUT, .TRUE. )
  656. ERRMAX = MAX( ERRMAX, ERR )
  657. * If got really bad answer, report and
  658. * return.
  659. IF( FATAL )
  660. $ GO TO 120
  661. END IF
  662. *
  663. 50 CONTINUE
  664. *
  665. 60 CONTINUE
  666. *
  667. 70 CONTINUE
  668. *
  669. 80 CONTINUE
  670. *
  671. 90 CONTINUE
  672. *
  673. 100 CONTINUE
  674. *
  675. 110 CONTINUE
  676. *
  677. * Report result.
  678. *
  679. IF( ERRMAX.LT.THRESH )THEN
  680. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  681. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  682. ELSE
  683. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  684. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  685. END IF
  686. GO TO 130
  687. *
  688. 120 CONTINUE
  689. WRITE( NOUT, FMT = 9996 )SNAME
  690. CALL ZPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB,
  691. $ M, N, K, ALPHA, LDA, LDB, BETA, LDC)
  692. *
  693. 130 CONTINUE
  694. RETURN
  695. *
  696. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  697. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  698. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  699. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  700. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  701. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  702. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  703. $ ' (', I6, ' CALL', 'S)' )
  704. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  705. $ ' (', I6, ' CALL', 'S)' )
  706. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  707. $ 'ANGED INCORRECTLY *******' )
  708. 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
  709. 9995 FORMAT( 1X, I6, ': ', A13,'(''', A1, ''',''', A1, ''',',
  710. $ 3( I3, ',' ), '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3,
  711. $ ',(', F4.1, ',', F4.1, '), C,', I3, ').' )
  712. 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  713. $ '******' )
  714. *
  715. * End of ZCHK1.
  716. *
  717. END
  718. *
  719. SUBROUTINE ZPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N,
  720. $ K, ALPHA, LDA, LDB, BETA, LDC)
  721. INTEGER NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC
  722. DOUBLE COMPLEX ALPHA, BETA
  723. CHARACTER*1 TRANSA, TRANSB
  724. CHARACTER*13 SNAME
  725. CHARACTER*14 CRC, CTA,CTB
  726. IF (TRANSA.EQ.'N')THEN
  727. CTA = ' CblasNoTrans'
  728. ELSE IF (TRANSA.EQ.'T')THEN
  729. CTA = ' CblasTrans'
  730. ELSE
  731. CTA = 'CblasConjTrans'
  732. END IF
  733. IF (TRANSB.EQ.'N')THEN
  734. CTB = ' CblasNoTrans'
  735. ELSE IF (TRANSB.EQ.'T')THEN
  736. CTB = ' CblasTrans'
  737. ELSE
  738. CTB = 'CblasConjTrans'
  739. END IF
  740. IF (IORDER.EQ.1)THEN
  741. CRC = ' CblasRowMajor'
  742. ELSE
  743. CRC = ' CblasColMajor'
  744. END IF
  745. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB
  746. WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC
  747. 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
  748. 9994 FORMAT( 10X, 3( I3, ',' ) ,' (', F4.1,',',F4.1,') , A,',
  749. $ I3, ', B,', I3, ', (', F4.1,',',F4.1,') , C,', I3, ').' )
  750. END
  751. *
  752. SUBROUTINE ZCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  753. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  754. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  755. $ IORDER )
  756. *
  757. * Tests ZHEMM and ZSYMM.
  758. *
  759. * Auxiliary routine for test program for Level 3 Blas.
  760. *
  761. * -- Written on 8-February-1989.
  762. * Jack Dongarra, Argonne National Laboratory.
  763. * Iain Duff, AERE Harwell.
  764. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  765. * Sven Hammarling, Numerical Algorithms Group Ltd.
  766. *
  767. * .. Parameters ..
  768. COMPLEX*16 ZERO
  769. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
  770. DOUBLE PRECISION RZERO
  771. PARAMETER ( RZERO = 0.0D0 )
  772. * .. Scalar Arguments ..
  773. DOUBLE PRECISION EPS, THRESH
  774. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  775. LOGICAL FATAL, REWI, TRACE
  776. CHARACTER*13 SNAME
  777. * .. Array Arguments ..
  778. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  779. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  780. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  781. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  782. $ CS( NMAX*NMAX ), CT( NMAX )
  783. DOUBLE PRECISION G( NMAX )
  784. INTEGER IDIM( NIDIM )
  785. * .. Local Scalars ..
  786. COMPLEX*16 ALPHA, ALS, BETA, BLS
  787. DOUBLE PRECISION ERR, ERRMAX
  788. INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC,
  789. $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA,
  790. $ NARGS, NC, NS
  791. LOGICAL CONJ, LEFT, NULL, RESET, SAME
  792. CHARACTER*1 SIDE, SIDES, UPLO, UPLOS
  793. CHARACTER*2 ICHS, ICHU
  794. * .. Local Arrays ..
  795. LOGICAL ISAME( 13 )
  796. * .. External Functions ..
  797. LOGICAL LZE, LZERES
  798. EXTERNAL LZE, LZERES
  799. * .. External Subroutines ..
  800. EXTERNAL CZHEMM, ZMAKE, ZMMCH, CZSYMM
  801. * .. Intrinsic Functions ..
  802. INTRINSIC MAX
  803. * .. Scalars in Common ..
  804. INTEGER INFOT, NOUTC
  805. LOGICAL LERR, OK
  806. * .. Common blocks ..
  807. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  808. * .. Data statements ..
  809. DATA ICHS/'LR'/, ICHU/'UL'/
  810. * .. Executable Statements ..
  811. CONJ = SNAME( 8: 9 ).EQ.'he'
  812. *
  813. NARGS = 12
  814. NC = 0
  815. RESET = .TRUE.
  816. ERRMAX = RZERO
  817. *
  818. DO 100 IM = 1, NIDIM
  819. M = IDIM( IM )
  820. *
  821. DO 90 IN = 1, NIDIM
  822. N = IDIM( IN )
  823. * Set LDC to 1 more than minimum value if room.
  824. LDC = M
  825. IF( LDC.LT.NMAX )
  826. $ LDC = LDC + 1
  827. * Skip tests if not enough room.
  828. IF( LDC.GT.NMAX )
  829. $ GO TO 90
  830. LCC = LDC*N
  831. NULL = N.LE.0.OR.M.LE.0
  832. * Set LDB to 1 more than minimum value if room.
  833. LDB = M
  834. IF( LDB.LT.NMAX )
  835. $ LDB = LDB + 1
  836. * Skip tests if not enough room.
  837. IF( LDB.GT.NMAX )
  838. $ GO TO 90
  839. LBB = LDB*N
  840. *
  841. * Generate the matrix B.
  842. *
  843. CALL ZMAKE( 'ge', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET,
  844. $ ZERO )
  845. *
  846. DO 80 ICS = 1, 2
  847. SIDE = ICHS( ICS: ICS )
  848. LEFT = SIDE.EQ.'L'
  849. *
  850. IF( LEFT )THEN
  851. NA = M
  852. ELSE
  853. NA = N
  854. END IF
  855. * Set LDA to 1 more than minimum value if room.
  856. LDA = NA
  857. IF( LDA.LT.NMAX )
  858. $ LDA = LDA + 1
  859. * Skip tests if not enough room.
  860. IF( LDA.GT.NMAX )
  861. $ GO TO 80
  862. LAA = LDA*NA
  863. *
  864. DO 70 ICU = 1, 2
  865. UPLO = ICHU( ICU: ICU )
  866. *
  867. * Generate the hermitian or symmetric matrix A.
  868. *
  869. CALL ZMAKE(SNAME( 8: 9 ), UPLO, ' ', NA, NA, A, NMAX,
  870. $ AA, LDA, RESET, ZERO )
  871. *
  872. DO 60 IA = 1, NALF
  873. ALPHA = ALF( IA )
  874. *
  875. DO 50 IB = 1, NBET
  876. BETA = BET( IB )
  877. *
  878. * Generate the matrix C.
  879. *
  880. CALL ZMAKE( 'ge', ' ', ' ', M, N, C, NMAX, CC,
  881. $ LDC, RESET, ZERO )
  882. *
  883. NC = NC + 1
  884. *
  885. * Save every datum before calling the
  886. * subroutine.
  887. *
  888. SIDES = SIDE
  889. UPLOS = UPLO
  890. MS = M
  891. NS = N
  892. ALS = ALPHA
  893. DO 10 I = 1, LAA
  894. AS( I ) = AA( I )
  895. 10 CONTINUE
  896. LDAS = LDA
  897. DO 20 I = 1, LBB
  898. BS( I ) = BB( I )
  899. 20 CONTINUE
  900. LDBS = LDB
  901. BLS = BETA
  902. DO 30 I = 1, LCC
  903. CS( I ) = CC( I )
  904. 30 CONTINUE
  905. LDCS = LDC
  906. *
  907. * Call the subroutine.
  908. *
  909. IF( TRACE )
  910. $ CALL ZPRCN2(NTRA, NC, SNAME, IORDER,
  911. $ SIDE, UPLO, M, N, ALPHA, LDA, LDB,
  912. $ BETA, LDC)
  913. IF( REWI )
  914. $ REWIND NTRA
  915. IF( CONJ )THEN
  916. CALL CZHEMM( IORDER, SIDE, UPLO, M, N,
  917. $ ALPHA, AA, LDA, BB, LDB, BETA,
  918. $ CC, LDC )
  919. ELSE
  920. CALL CZSYMM( IORDER, SIDE, UPLO, M, N,
  921. $ ALPHA, AA, LDA, BB, LDB, BETA,
  922. $ CC, LDC )
  923. END IF
  924. *
  925. * Check if error-exit was taken incorrectly.
  926. *
  927. IF( .NOT.OK )THEN
  928. WRITE( NOUT, FMT = 9994 )
  929. FATAL = .TRUE.
  930. GO TO 110
  931. END IF
  932. *
  933. * See what data changed inside subroutines.
  934. *
  935. ISAME( 1 ) = SIDES.EQ.SIDE
  936. ISAME( 2 ) = UPLOS.EQ.UPLO
  937. ISAME( 3 ) = MS.EQ.M
  938. ISAME( 4 ) = NS.EQ.N
  939. ISAME( 5 ) = ALS.EQ.ALPHA
  940. ISAME( 6 ) = LZE( AS, AA, LAA )
  941. ISAME( 7 ) = LDAS.EQ.LDA
  942. ISAME( 8 ) = LZE( BS, BB, LBB )
  943. ISAME( 9 ) = LDBS.EQ.LDB
  944. ISAME( 10 ) = BLS.EQ.BETA
  945. IF( NULL )THEN
  946. ISAME( 11 ) = LZE( CS, CC, LCC )
  947. ELSE
  948. ISAME( 11 ) = LZERES( 'ge', ' ', M, N, CS,
  949. $ CC, LDC )
  950. END IF
  951. ISAME( 12 ) = LDCS.EQ.LDC
  952. *
  953. * If data was incorrectly changed, report and
  954. * return.
  955. *
  956. SAME = .TRUE.
  957. DO 40 I = 1, NARGS
  958. SAME = SAME.AND.ISAME( I )
  959. IF( .NOT.ISAME( I ) )
  960. $ WRITE( NOUT, FMT = 9998 )I
  961. 40 CONTINUE
  962. IF( .NOT.SAME )THEN
  963. FATAL = .TRUE.
  964. GO TO 110
  965. END IF
  966. *
  967. IF( .NOT.NULL )THEN
  968. *
  969. * Check the result.
  970. *
  971. IF( LEFT )THEN
  972. CALL ZMMCH( 'N', 'N', M, N, M, ALPHA, A,
  973. $ NMAX, B, NMAX, BETA, C, NMAX,
  974. $ CT, G, CC, LDC, EPS, ERR,
  975. $ FATAL, NOUT, .TRUE. )
  976. ELSE
  977. CALL ZMMCH( 'N', 'N', M, N, N, ALPHA, B,
  978. $ NMAX, A, NMAX, BETA, C, NMAX,
  979. $ CT, G, CC, LDC, EPS, ERR,
  980. $ FATAL, NOUT, .TRUE. )
  981. END IF
  982. ERRMAX = MAX( ERRMAX, ERR )
  983. * If got really bad answer, report and
  984. * return.
  985. IF( FATAL )
  986. $ GO TO 110
  987. END IF
  988. *
  989. 50 CONTINUE
  990. *
  991. 60 CONTINUE
  992. *
  993. 70 CONTINUE
  994. *
  995. 80 CONTINUE
  996. *
  997. 90 CONTINUE
  998. *
  999. 100 CONTINUE
  1000. *
  1001. * Report result.
  1002. *
  1003. IF( ERRMAX.LT.THRESH )THEN
  1004. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1005. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1006. ELSE
  1007. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1008. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1009. END IF
  1010. GO TO 120
  1011. *
  1012. 110 CONTINUE
  1013. WRITE( NOUT, FMT = 9996 )SNAME
  1014. CALL ZPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA,
  1015. $ LDB, BETA, LDC)
  1016. *
  1017. 120 CONTINUE
  1018. RETURN
  1019. *
  1020. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1021. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1022. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1023. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1024. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1025. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1026. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1027. $ ' (', I6, ' CALL', 'S)' )
  1028. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1029. $ ' (', I6, ' CALL', 'S)' )
  1030. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1031. $ 'ANGED INCORRECTLY *******' )
  1032. 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
  1033. 9995 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1034. $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1,
  1035. $ ',', F4.1, '), C,', I3, ') .' )
  1036. 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1037. $ '******' )
  1038. *
  1039. * End of ZCHK2.
  1040. *
  1041. END
  1042. *
  1043. SUBROUTINE ZPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N,
  1044. $ ALPHA, LDA, LDB, BETA, LDC)
  1045. INTEGER NOUT, NC, IORDER, M, N, LDA, LDB, LDC
  1046. DOUBLE COMPLEX ALPHA, BETA
  1047. CHARACTER*1 SIDE, UPLO
  1048. CHARACTER*13 SNAME
  1049. CHARACTER*14 CRC, CS,CU
  1050. IF (SIDE.EQ.'L')THEN
  1051. CS = ' CblasLeft'
  1052. ELSE
  1053. CS = ' CblasRight'
  1054. END IF
  1055. IF (UPLO.EQ.'U')THEN
  1056. CU = ' CblasUpper'
  1057. ELSE
  1058. CU = ' CblasLower'
  1059. END IF
  1060. IF (IORDER.EQ.1)THEN
  1061. CRC = ' CblasRowMajor'
  1062. ELSE
  1063. CRC = ' CblasColMajor'
  1064. END IF
  1065. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
  1066. WRITE(NOUT, FMT = 9994)M, N, ALPHA, LDA, LDB, BETA, LDC
  1067. 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
  1068. 9994 FORMAT( 10X, 2( I3, ',' ),' (',F4.1,',',F4.1, '), A,', I3,
  1069. $ ', B,', I3, ', (',F4.1,',',F4.1, '), ', 'C,', I3, ').' )
  1070. END
  1071. *
  1072. SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1073. $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS,
  1074. $ B, BB, BS, CT, G, C, IORDER )
  1075. *
  1076. * Tests ZTRMM and ZTRSM.
  1077. *
  1078. * Auxiliary routine for test program for Level 3 Blas.
  1079. *
  1080. * -- Written on 8-February-1989.
  1081. * Jack Dongarra, Argonne National Laboratory.
  1082. * Iain Duff, AERE Harwell.
  1083. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1084. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1085. *
  1086. * .. Parameters ..
  1087. COMPLEX*16 ZERO, ONE
  1088. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), ONE = ( 1.0D0, 0.0D0 ) )
  1089. DOUBLE PRECISION RZERO
  1090. PARAMETER ( RZERO = 0.0D0 )
  1091. * .. Scalar Arguments ..
  1092. DOUBLE PRECISION EPS, THRESH
  1093. INTEGER NALF, NIDIM, NMAX, NOUT, NTRA, IORDER
  1094. LOGICAL FATAL, REWI, TRACE
  1095. CHARACTER*13 SNAME
  1096. * .. Array Arguments ..
  1097. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1098. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  1099. $ BB( NMAX*NMAX ), BS( NMAX*NMAX ),
  1100. $ C( NMAX, NMAX ), CT( NMAX )
  1101. DOUBLE PRECISION G( NMAX )
  1102. INTEGER IDIM( NIDIM )
  1103. * .. Local Scalars ..
  1104. COMPLEX*16 ALPHA, ALS
  1105. DOUBLE PRECISION ERR, ERRMAX
  1106. INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB,
  1107. $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC,
  1108. $ NS
  1109. LOGICAL LEFT, NULL, RESET, SAME
  1110. CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO,
  1111. $ UPLOS
  1112. CHARACTER*2 ICHD, ICHS, ICHU
  1113. CHARACTER*3 ICHT
  1114. * .. Local Arrays ..
  1115. LOGICAL ISAME( 13 )
  1116. * .. External Functions ..
  1117. LOGICAL LZE, LZERES
  1118. EXTERNAL LZE, LZERES
  1119. * .. External Subroutines ..
  1120. EXTERNAL ZMAKE, ZMMCH, CZTRMM, CZTRSM
  1121. * .. Intrinsic Functions ..
  1122. INTRINSIC MAX
  1123. * .. Scalars in Common ..
  1124. INTEGER INFOT, NOUTC
  1125. LOGICAL LERR, OK
  1126. * .. Common blocks ..
  1127. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  1128. * .. Data statements ..
  1129. DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/
  1130. * .. Executable Statements ..
  1131. *
  1132. NARGS = 11
  1133. NC = 0
  1134. RESET = .TRUE.
  1135. ERRMAX = RZERO
  1136. * Set up zero matrix for ZMMCH.
  1137. DO 20 J = 1, NMAX
  1138. DO 10 I = 1, NMAX
  1139. C( I, J ) = ZERO
  1140. 10 CONTINUE
  1141. 20 CONTINUE
  1142. *
  1143. DO 140 IM = 1, NIDIM
  1144. M = IDIM( IM )
  1145. *
  1146. DO 130 IN = 1, NIDIM
  1147. N = IDIM( IN )
  1148. * Set LDB to 1 more than minimum value if room.
  1149. LDB = M
  1150. IF( LDB.LT.NMAX )
  1151. $ LDB = LDB + 1
  1152. * Skip tests if not enough room.
  1153. IF( LDB.GT.NMAX )
  1154. $ GO TO 130
  1155. LBB = LDB*N
  1156. NULL = M.LE.0.OR.N.LE.0
  1157. *
  1158. DO 120 ICS = 1, 2
  1159. SIDE = ICHS( ICS: ICS )
  1160. LEFT = SIDE.EQ.'L'
  1161. IF( LEFT )THEN
  1162. NA = M
  1163. ELSE
  1164. NA = N
  1165. END IF
  1166. * Set LDA to 1 more than minimum value if room.
  1167. LDA = NA
  1168. IF( LDA.LT.NMAX )
  1169. $ LDA = LDA + 1
  1170. * Skip tests if not enough room.
  1171. IF( LDA.GT.NMAX )
  1172. $ GO TO 130
  1173. LAA = LDA*NA
  1174. *
  1175. DO 110 ICU = 1, 2
  1176. UPLO = ICHU( ICU: ICU )
  1177. *
  1178. DO 100 ICT = 1, 3
  1179. TRANSA = ICHT( ICT: ICT )
  1180. *
  1181. DO 90 ICD = 1, 2
  1182. DIAG = ICHD( ICD: ICD )
  1183. *
  1184. DO 80 IA = 1, NALF
  1185. ALPHA = ALF( IA )
  1186. *
  1187. * Generate the matrix A.
  1188. *
  1189. CALL ZMAKE( 'tr', UPLO, DIAG, NA, NA, A,
  1190. $ NMAX, AA, LDA, RESET, ZERO )
  1191. *
  1192. * Generate the matrix B.
  1193. *
  1194. CALL ZMAKE( 'ge', ' ', ' ', M, N, B, NMAX,
  1195. $ BB, LDB, RESET, ZERO )
  1196. *
  1197. NC = NC + 1
  1198. *
  1199. * Save every datum before calling the
  1200. * subroutine.
  1201. *
  1202. SIDES = SIDE
  1203. UPLOS = UPLO
  1204. TRANAS = TRANSA
  1205. DIAGS = DIAG
  1206. MS = M
  1207. NS = N
  1208. ALS = ALPHA
  1209. DO 30 I = 1, LAA
  1210. AS( I ) = AA( I )
  1211. 30 CONTINUE
  1212. LDAS = LDA
  1213. DO 40 I = 1, LBB
  1214. BS( I ) = BB( I )
  1215. 40 CONTINUE
  1216. LDBS = LDB
  1217. *
  1218. * Call the subroutine.
  1219. *
  1220. IF( SNAME( 10: 11 ).EQ.'mm' )THEN
  1221. IF( TRACE )
  1222. $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER,
  1223. $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
  1224. $ LDA, LDB)
  1225. IF( REWI )
  1226. $ REWIND NTRA
  1227. CALL CZTRMM(IORDER, SIDE, UPLO, TRANSA,
  1228. $ DIAG, M, N, ALPHA, AA, LDA,
  1229. $ BB, LDB )
  1230. ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
  1231. IF( TRACE )
  1232. $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER,
  1233. $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
  1234. $ LDA, LDB)
  1235. IF( REWI )
  1236. $ REWIND NTRA
  1237. CALL CZTRSM(IORDER, SIDE, UPLO, TRANSA,
  1238. $ DIAG, M, N, ALPHA, AA, LDA,
  1239. $ BB, LDB )
  1240. END IF
  1241. *
  1242. * Check if error-exit was taken incorrectly.
  1243. *
  1244. IF( .NOT.OK )THEN
  1245. WRITE( NOUT, FMT = 9994 )
  1246. FATAL = .TRUE.
  1247. GO TO 150
  1248. END IF
  1249. *
  1250. * See what data changed inside subroutines.
  1251. *
  1252. ISAME( 1 ) = SIDES.EQ.SIDE
  1253. ISAME( 2 ) = UPLOS.EQ.UPLO
  1254. ISAME( 3 ) = TRANAS.EQ.TRANSA
  1255. ISAME( 4 ) = DIAGS.EQ.DIAG
  1256. ISAME( 5 ) = MS.EQ.M
  1257. ISAME( 6 ) = NS.EQ.N
  1258. ISAME( 7 ) = ALS.EQ.ALPHA
  1259. ISAME( 8 ) = LZE( AS, AA, LAA )
  1260. ISAME( 9 ) = LDAS.EQ.LDA
  1261. IF( NULL )THEN
  1262. ISAME( 10 ) = LZE( BS, BB, LBB )
  1263. ELSE
  1264. ISAME( 10 ) = LZERES( 'ge', ' ', M, N, BS,
  1265. $ BB, LDB )
  1266. END IF
  1267. ISAME( 11 ) = LDBS.EQ.LDB
  1268. *
  1269. * If data was incorrectly changed, report and
  1270. * return.
  1271. *
  1272. SAME = .TRUE.
  1273. DO 50 I = 1, NARGS
  1274. SAME = SAME.AND.ISAME( I )
  1275. IF( .NOT.ISAME( I ) )
  1276. $ WRITE( NOUT, FMT = 9998 )I
  1277. 50 CONTINUE
  1278. IF( .NOT.SAME )THEN
  1279. FATAL = .TRUE.
  1280. GO TO 150
  1281. END IF
  1282. *
  1283. IF( .NOT.NULL )THEN
  1284. IF( SNAME( 10: 11 ).EQ.'mm' )THEN
  1285. *
  1286. * Check the result.
  1287. *
  1288. IF( LEFT )THEN
  1289. CALL ZMMCH( TRANSA, 'N', M, N, M,
  1290. $ ALPHA, A, NMAX, B, NMAX,
  1291. $ ZERO, C, NMAX, CT, G,
  1292. $ BB, LDB, EPS, ERR,
  1293. $ FATAL, NOUT, .TRUE. )
  1294. ELSE
  1295. CALL ZMMCH( 'N', TRANSA, M, N, N,
  1296. $ ALPHA, B, NMAX, A, NMAX,
  1297. $ ZERO, C, NMAX, CT, G,
  1298. $ BB, LDB, EPS, ERR,
  1299. $ FATAL, NOUT, .TRUE. )
  1300. END IF
  1301. ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
  1302. *
  1303. * Compute approximation to original
  1304. * matrix.
  1305. *
  1306. DO 70 J = 1, N
  1307. DO 60 I = 1, M
  1308. C( I, J ) = BB( I + ( J - 1 )*
  1309. $ LDB )
  1310. BB( I + ( J - 1 )*LDB ) = ALPHA*
  1311. $ B( I, J )
  1312. 60 CONTINUE
  1313. 70 CONTINUE
  1314. *
  1315. IF( LEFT )THEN
  1316. CALL ZMMCH( TRANSA, 'N', M, N, M,
  1317. $ ONE, A, NMAX, C, NMAX,
  1318. $ ZERO, B, NMAX, CT, G,
  1319. $ BB, LDB, EPS, ERR,
  1320. $ FATAL, NOUT, .FALSE. )
  1321. ELSE
  1322. CALL ZMMCH( 'N', TRANSA, M, N, N,
  1323. $ ONE, C, NMAX, A, NMAX,
  1324. $ ZERO, B, NMAX, CT, G,
  1325. $ BB, LDB, EPS, ERR,
  1326. $ FATAL, NOUT, .FALSE. )
  1327. END IF
  1328. END IF
  1329. ERRMAX = MAX( ERRMAX, ERR )
  1330. * If got really bad answer, report and
  1331. * return.
  1332. IF( FATAL )
  1333. $ GO TO 150
  1334. END IF
  1335. *
  1336. 80 CONTINUE
  1337. *
  1338. 90 CONTINUE
  1339. *
  1340. 100 CONTINUE
  1341. *
  1342. 110 CONTINUE
  1343. *
  1344. 120 CONTINUE
  1345. *
  1346. 130 CONTINUE
  1347. *
  1348. 140 CONTINUE
  1349. *
  1350. * Report result.
  1351. *
  1352. IF( ERRMAX.LT.THRESH )THEN
  1353. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1354. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1355. ELSE
  1356. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1357. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1358. END IF
  1359. GO TO 160
  1360. *
  1361. 150 CONTINUE
  1362. WRITE( NOUT, FMT = 9996 )SNAME
  1363. IF( TRACE )
  1364. $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG,
  1365. $ M, N, ALPHA, LDA, LDB)
  1366. *
  1367. 160 CONTINUE
  1368. RETURN
  1369. *
  1370. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1371. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1372. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1373. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1374. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1375. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1376. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1377. $ ' (', I6, ' CALL', 'S)' )
  1378. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1379. $ ' (', I6, ' CALL', 'S)' )
  1380. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1381. $ 'ANGED INCORRECTLY *******' )
  1382. 9996 FORMAT(' ******* ', A13,' FAILED ON CALL NUMBER:' )
  1383. 9995 FORMAT(1X, I6, ': ', A13,'(', 4( '''', A1, ''',' ), 2( I3, ',' ),
  1384. $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ') ',
  1385. $ ' .' )
  1386. 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1387. $ '******' )
  1388. *
  1389. * End of ZCHK3.
  1390. *
  1391. END
  1392. *
  1393. SUBROUTINE ZPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA,
  1394. $ DIAG, M, N, ALPHA, LDA, LDB)
  1395. INTEGER NOUT, NC, IORDER, M, N, LDA, LDB
  1396. DOUBLE COMPLEX ALPHA
  1397. CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
  1398. CHARACTER*13 SNAME
  1399. CHARACTER*14 CRC, CS, CU, CA, CD
  1400. IF (SIDE.EQ.'L')THEN
  1401. CS = ' CblasLeft'
  1402. ELSE
  1403. CS = ' CblasRight'
  1404. END IF
  1405. IF (UPLO.EQ.'U')THEN
  1406. CU = ' CblasUpper'
  1407. ELSE
  1408. CU = ' CblasLower'
  1409. END IF
  1410. IF (TRANSA.EQ.'N')THEN
  1411. CA = ' CblasNoTrans'
  1412. ELSE IF (TRANSA.EQ.'T')THEN
  1413. CA = ' CblasTrans'
  1414. ELSE
  1415. CA = 'CblasConjTrans'
  1416. END IF
  1417. IF (DIAG.EQ.'N')THEN
  1418. CD = ' CblasNonUnit'
  1419. ELSE
  1420. CD = ' CblasUnit'
  1421. END IF
  1422. IF (IORDER.EQ.1)THEN
  1423. CRC = ' CblasRowMajor'
  1424. ELSE
  1425. CRC = ' CblasColMajor'
  1426. END IF
  1427. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
  1428. WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB
  1429. 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
  1430. 9994 FORMAT( 10X, 2( A15, ',') , 2( I3, ',' ), ' (', F4.1, ',',
  1431. $ F4.1, '), A,', I3, ', B,', I3, ').' )
  1432. END
  1433. *
  1434. SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1435. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  1436. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  1437. $ IORDER )
  1438. *
  1439. * Tests ZHERK and ZSYRK.
  1440. *
  1441. * Auxiliary routine for test program for Level 3 Blas.
  1442. *
  1443. * -- Written on 8-February-1989.
  1444. * Jack Dongarra, Argonne National Laboratory.
  1445. * Iain Duff, AERE Harwell.
  1446. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1447. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1448. *
  1449. * .. Parameters ..
  1450. COMPLEX*16 ZERO
  1451. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
  1452. DOUBLE PRECISION RONE, RZERO
  1453. PARAMETER ( RONE = 1.0D0, RZERO = 0.0D0 )
  1454. * .. Scalar Arguments ..
  1455. DOUBLE PRECISION EPS, THRESH
  1456. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  1457. LOGICAL FATAL, REWI, TRACE
  1458. CHARACTER*13 SNAME
  1459. * .. Array Arguments ..
  1460. COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1461. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  1462. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  1463. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  1464. $ CS( NMAX*NMAX ), CT( NMAX )
  1465. DOUBLE PRECISION G( NMAX )
  1466. INTEGER IDIM( NIDIM )
  1467. * .. Local Scalars ..
  1468. COMPLEX*16 ALPHA, ALS, BETA, BETS
  1469. DOUBLE PRECISION ERR, ERRMAX, RALPHA, RALS, RBETA, RBETS
  1470. INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS,
  1471. $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA,
  1472. $ NARGS, NC, NS
  1473. LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER
  1474. CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS
  1475. CHARACTER*2 ICHT, ICHU
  1476. * .. Local Arrays ..
  1477. LOGICAL ISAME( 13 )
  1478. * .. External Functions ..
  1479. LOGICAL LZE, LZERES
  1480. EXTERNAL LZE, LZERES
  1481. * .. External Subroutines ..
  1482. EXTERNAL CZHERK, ZMAKE, ZMMCH, CZSYRK
  1483. * .. Intrinsic Functions ..
  1484. INTRINSIC DCMPLX, MAX, DBLE
  1485. * .. Scalars in Common ..
  1486. INTEGER INFOT, NOUTC
  1487. LOGICAL LERR, OK
  1488. * .. Common blocks ..
  1489. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  1490. * .. Data statements ..
  1491. DATA ICHT/'NC'/, ICHU/'UL'/
  1492. * .. Executable Statements ..
  1493. CONJ = SNAME( 8: 9 ).EQ.'he'
  1494. *
  1495. NARGS = 10
  1496. NC = 0
  1497. RESET = .TRUE.
  1498. ERRMAX = RZERO
  1499. *
  1500. DO 100 IN = 1, NIDIM
  1501. N = IDIM( IN )
  1502. * Set LDC to 1 more than minimum value if room.
  1503. LDC = N
  1504. IF( LDC.LT.NMAX )
  1505. $ LDC = LDC + 1
  1506. * Skip tests if not enough room.
  1507. IF( LDC.GT.NMAX )
  1508. $ GO TO 100
  1509. LCC = LDC*N
  1510. *
  1511. DO 90 IK = 1, NIDIM
  1512. K = IDIM( IK )
  1513. *
  1514. DO 80 ICT = 1, 2
  1515. TRANS = ICHT( ICT: ICT )
  1516. TRAN = TRANS.EQ.'C'
  1517. IF( TRAN.AND..NOT.CONJ )
  1518. $ TRANS = 'T'
  1519. IF( TRAN )THEN
  1520. MA = K
  1521. NA = N
  1522. ELSE
  1523. MA = N
  1524. NA = K
  1525. END IF
  1526. * Set LDA to 1 more than minimum value if room.
  1527. LDA = MA
  1528. IF( LDA.LT.NMAX )
  1529. $ LDA = LDA + 1
  1530. * Skip tests if not enough room.
  1531. IF( LDA.GT.NMAX )
  1532. $ GO TO 80
  1533. LAA = LDA*NA
  1534. *
  1535. * Generate the matrix A.
  1536. *
  1537. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
  1538. $ RESET, ZERO )
  1539. *
  1540. DO 70 ICU = 1, 2
  1541. UPLO = ICHU( ICU: ICU )
  1542. UPPER = UPLO.EQ.'U'
  1543. *
  1544. DO 60 IA = 1, NALF
  1545. ALPHA = ALF( IA )
  1546. IF( CONJ )THEN
  1547. RALPHA = DBLE( ALPHA )
  1548. ALPHA = DCMPLX( RALPHA, RZERO )
  1549. END IF
  1550. *
  1551. DO 50 IB = 1, NBET
  1552. BETA = BET( IB )
  1553. IF( CONJ )THEN
  1554. RBETA = DBLE( BETA )
  1555. BETA = DCMPLX( RBETA, RZERO )
  1556. END IF
  1557. NULL = N.LE.0
  1558. IF( CONJ )
  1559. $ NULL = NULL.OR.( ( K.LE.0.OR.RALPHA.EQ.
  1560. $ RZERO ).AND.RBETA.EQ.RONE )
  1561. *
  1562. * Generate the matrix C.
  1563. *
  1564. CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, C,
  1565. $ NMAX, CC, LDC, RESET, ZERO )
  1566. *
  1567. NC = NC + 1
  1568. *
  1569. * Save every datum before calling the subroutine.
  1570. *
  1571. UPLOS = UPLO
  1572. TRANSS = TRANS
  1573. NS = N
  1574. KS = K
  1575. IF( CONJ )THEN
  1576. RALS = RALPHA
  1577. ELSE
  1578. ALS = ALPHA
  1579. END IF
  1580. DO 10 I = 1, LAA
  1581. AS( I ) = AA( I )
  1582. 10 CONTINUE
  1583. LDAS = LDA
  1584. IF( CONJ )THEN
  1585. RBETS = RBETA
  1586. ELSE
  1587. BETS = BETA
  1588. END IF
  1589. DO 20 I = 1, LCC
  1590. CS( I ) = CC( I )
  1591. 20 CONTINUE
  1592. LDCS = LDC
  1593. *
  1594. * Call the subroutine.
  1595. *
  1596. IF( CONJ )THEN
  1597. IF( TRACE )
  1598. $ CALL ZPRCN6( NTRA, NC, SNAME, IORDER,
  1599. $ UPLO, TRANS, N, K, RALPHA, LDA, RBETA,
  1600. $ LDC)
  1601. IF( REWI )
  1602. $ REWIND NTRA
  1603. CALL CZHERK( IORDER, UPLO, TRANS, N, K,
  1604. $ RALPHA, AA, LDA, RBETA, CC,
  1605. $ LDC )
  1606. ELSE
  1607. IF( TRACE )
  1608. $ CALL ZPRCN4( NTRA, NC, SNAME, IORDER,
  1609. $ UPLO, TRANS, N, K, ALPHA, LDA, BETA, LDC)
  1610. IF( REWI )
  1611. $ REWIND NTRA
  1612. CALL CZSYRK( IORDER, UPLO, TRANS, N, K,
  1613. $ ALPHA, AA, LDA, BETA, CC, LDC )
  1614. END IF
  1615. *
  1616. * Check if error-exit was taken incorrectly.
  1617. *
  1618. IF( .NOT.OK )THEN
  1619. WRITE( NOUT, FMT = 9992 )
  1620. FATAL = .TRUE.
  1621. GO TO 120
  1622. END IF
  1623. *
  1624. * See what data changed inside subroutines.
  1625. *
  1626. ISAME( 1 ) = UPLOS.EQ.UPLO
  1627. ISAME( 2 ) = TRANSS.EQ.TRANS
  1628. ISAME( 3 ) = NS.EQ.N
  1629. ISAME( 4 ) = KS.EQ.K
  1630. IF( CONJ )THEN
  1631. ISAME( 5 ) = RALS.EQ.RALPHA
  1632. ELSE
  1633. ISAME( 5 ) = ALS.EQ.ALPHA
  1634. END IF
  1635. ISAME( 6 ) = LZE( AS, AA, LAA )
  1636. ISAME( 7 ) = LDAS.EQ.LDA
  1637. IF( CONJ )THEN
  1638. ISAME( 8 ) = RBETS.EQ.RBETA
  1639. ELSE
  1640. ISAME( 8 ) = BETS.EQ.BETA
  1641. END IF
  1642. IF( NULL )THEN
  1643. ISAME( 9 ) = LZE( CS, CC, LCC )
  1644. ELSE
  1645. ISAME( 9 ) = LZERES( SNAME( 8: 9 ), UPLO, N,
  1646. $ N, CS, CC, LDC )
  1647. END IF
  1648. ISAME( 10 ) = LDCS.EQ.LDC
  1649. *
  1650. * If data was incorrectly changed, report and
  1651. * return.
  1652. *
  1653. SAME = .TRUE.
  1654. DO 30 I = 1, NARGS
  1655. SAME = SAME.AND.ISAME( I )
  1656. IF( .NOT.ISAME( I ) )
  1657. $ WRITE( NOUT, FMT = 9998 )I
  1658. 30 CONTINUE
  1659. IF( .NOT.SAME )THEN
  1660. FATAL = .TRUE.
  1661. GO TO 120
  1662. END IF
  1663. *
  1664. IF( .NOT.NULL )THEN
  1665. *
  1666. * Check the result column by column.
  1667. *
  1668. IF( CONJ )THEN
  1669. TRANST = 'C'
  1670. ELSE
  1671. TRANST = 'T'
  1672. END IF
  1673. JC = 1
  1674. DO 40 J = 1, N
  1675. IF( UPPER )THEN
  1676. JJ = 1
  1677. LJ = J
  1678. ELSE
  1679. JJ = J
  1680. LJ = N - J + 1
  1681. END IF
  1682. IF( TRAN )THEN
  1683. CALL ZMMCH( TRANST, 'N', LJ, 1, K,
  1684. $ ALPHA, A( 1, JJ ), NMAX,
  1685. $ A( 1, J ), NMAX, BETA,
  1686. $ C( JJ, J ), NMAX, CT, G,
  1687. $ CC( JC ), LDC, EPS, ERR,
  1688. $ FATAL, NOUT, .TRUE. )
  1689. ELSE
  1690. CALL ZMMCH( 'N', TRANST, LJ, 1, K,
  1691. $ ALPHA, A( JJ, 1 ), NMAX,
  1692. $ A( J, 1 ), NMAX, BETA,
  1693. $ C( JJ, J ), NMAX, CT, G,
  1694. $ CC( JC ), LDC, EPS, ERR,
  1695. $ FATAL, NOUT, .TRUE. )
  1696. END IF
  1697. IF( UPPER )THEN
  1698. JC = JC + LDC
  1699. ELSE
  1700. JC = JC + LDC + 1
  1701. END IF
  1702. ERRMAX = MAX( ERRMAX, ERR )
  1703. * If got really bad answer, report and
  1704. * return.
  1705. IF( FATAL )
  1706. $ GO TO 110
  1707. 40 CONTINUE
  1708. END IF
  1709. *
  1710. 50 CONTINUE
  1711. *
  1712. 60 CONTINUE
  1713. *
  1714. 70 CONTINUE
  1715. *
  1716. 80 CONTINUE
  1717. *
  1718. 90 CONTINUE
  1719. *
  1720. 100 CONTINUE
  1721. *
  1722. * Report result.
  1723. *
  1724. IF( ERRMAX.LT.THRESH )THEN
  1725. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1726. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1727. ELSE
  1728. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1729. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1730. END IF
  1731. GO TO 130
  1732. *
  1733. 110 CONTINUE
  1734. IF( N.GT.1 )
  1735. $ WRITE( NOUT, FMT = 9995 )J
  1736. *
  1737. 120 CONTINUE
  1738. WRITE( NOUT, FMT = 9996 )SNAME
  1739. IF( CONJ )THEN
  1740. CALL ZPRCN6( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, RALPHA,
  1741. $ LDA, rBETA, LDC)
  1742. ELSE
  1743. CALL ZPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
  1744. $ LDA, BETA, LDC)
  1745. END IF
  1746. *
  1747. 130 CONTINUE
  1748. RETURN
  1749. *
  1750. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1751. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1752. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1753. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1754. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1755. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1756. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1757. $ ' (', I6, ' CALL', 'S)' )
  1758. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1759. $ ' (', I6, ' CALL', 'S)' )
  1760. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1761. $ 'ANGED INCORRECTLY *******' )
  1762. 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
  1763. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  1764. 9994 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1765. $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') ',
  1766. $ ' .' )
  1767. 9993 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1768. $ '(', F4.1, ',', F4.1, ') , A,', I3, ',(', F4.1, ',', F4.1,
  1769. $ '), C,', I3, ') .' )
  1770. 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1771. $ '******' )
  1772. *
  1773. * End of CCHK4.
  1774. *
  1775. END
  1776. *
  1777. SUBROUTINE ZPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  1778. $ N, K, ALPHA, LDA, BETA, LDC)
  1779. INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
  1780. DOUBLE COMPLEX ALPHA, BETA
  1781. CHARACTER*1 UPLO, TRANSA
  1782. CHARACTER*13 SNAME
  1783. CHARACTER*14 CRC, CU, CA
  1784. IF (UPLO.EQ.'U')THEN
  1785. CU = ' CblasUpper'
  1786. ELSE
  1787. CU = ' CblasLower'
  1788. END IF
  1789. IF (TRANSA.EQ.'N')THEN
  1790. CA = ' CblasNoTrans'
  1791. ELSE IF (TRANSA.EQ.'T')THEN
  1792. CA = ' CblasTrans'
  1793. ELSE
  1794. CA = 'CblasConjTrans'
  1795. END IF
  1796. IF (IORDER.EQ.1)THEN
  1797. CRC = ' CblasRowMajor'
  1798. ELSE
  1799. CRC = ' CblasColMajor'
  1800. END IF
  1801. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  1802. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
  1803. 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
  1804. 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1 ,'), A,',
  1805. $ I3, ', (', F4.1,',', F4.1, '), C,', I3, ').' )
  1806. END
  1807. *
  1808. *
  1809. SUBROUTINE ZPRCN6(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  1810. $ N, K, ALPHA, LDA, BETA, LDC)
  1811. INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
  1812. DOUBLE PRECISION ALPHA, BETA
  1813. CHARACTER*1 UPLO, TRANSA
  1814. CHARACTER*13 SNAME
  1815. CHARACTER*14 CRC, CU, CA
  1816. IF (UPLO.EQ.'U')THEN
  1817. CU = ' CblasUpper'
  1818. ELSE
  1819. CU = ' CblasLower'
  1820. END IF
  1821. IF (TRANSA.EQ.'N')THEN
  1822. CA = ' CblasNoTrans'
  1823. ELSE IF (TRANSA.EQ.'T')THEN
  1824. CA = ' CblasTrans'
  1825. ELSE
  1826. CA = 'CblasConjTrans'
  1827. END IF
  1828. IF (IORDER.EQ.1)THEN
  1829. CRC = ' CblasRowMajor'
  1830. ELSE
  1831. CRC = ' CblasColMajor'
  1832. END IF
  1833. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  1834. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
  1835. 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
  1836. 9994 FORMAT( 10X, 2( I3, ',' ),
  1837. $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' )
  1838. END
  1839. *
  1840. SUBROUTINE ZCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1841. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  1842. $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  1843. $ IORDER )
  1844. *
  1845. * Tests ZHER2K and ZSYR2K.
  1846. *
  1847. * Auxiliary routine for test program for Level 3 Blas.
  1848. *
  1849. * -- Written on 8-February-1989.
  1850. * Jack Dongarra, Argonne National Laboratory.
  1851. * Iain Duff, AERE Harwell.
  1852. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1853. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1854. *
  1855. * .. Parameters ..
  1856. COMPLEX*16 ZERO, ONE
  1857. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ), ONE = ( 1.0D0, 0.0D0 ) )
  1858. DOUBLE PRECISION RONE, RZERO
  1859. PARAMETER ( RONE = 1.0D0, RZERO = 0.0D0 )
  1860. * .. Scalar Arguments ..
  1861. DOUBLE PRECISION EPS, THRESH
  1862. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  1863. LOGICAL FATAL, REWI, TRACE
  1864. CHARACTER*13 SNAME
  1865. * .. Array Arguments ..
  1866. COMPLEX*16 AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ),
  1867. $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ),
  1868. $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ),
  1869. $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
  1870. $ W( 2*NMAX )
  1871. DOUBLE PRECISION G( NMAX )
  1872. INTEGER IDIM( NIDIM )
  1873. * .. Local Scalars ..
  1874. COMPLEX*16 ALPHA, ALS, BETA, BETS
  1875. DOUBLE PRECISION ERR, ERRMAX, RBETA, RBETS
  1876. INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB,
  1877. $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS,
  1878. $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS
  1879. LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER
  1880. CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS
  1881. CHARACTER*2 ICHT, ICHU
  1882. * .. Local Arrays ..
  1883. LOGICAL ISAME( 13 )
  1884. * .. External Functions ..
  1885. LOGICAL LZE, LZERES
  1886. EXTERNAL LZE, LZERES
  1887. * .. External Subroutines ..
  1888. EXTERNAL CZHER2K, ZMAKE, ZMMCH, CZSYR2K
  1889. * .. Intrinsic Functions ..
  1890. INTRINSIC DCMPLX, DCONJG, MAX, DBLE
  1891. * .. Scalars in Common ..
  1892. INTEGER INFOT, NOUTC
  1893. LOGICAL LERR, OK
  1894. * .. Common blocks ..
  1895. COMMON /INFOC/INFOT, NOUTC, OK, LERR
  1896. * .. Data statements ..
  1897. DATA ICHT/'NC'/, ICHU/'UL'/
  1898. * .. Executable Statements ..
  1899. CONJ = SNAME( 8: 9 ).EQ.'he'
  1900. *
  1901. NARGS = 12
  1902. NC = 0
  1903. RESET = .TRUE.
  1904. ERRMAX = RZERO
  1905. *
  1906. DO 130 IN = 1, NIDIM
  1907. N = IDIM( IN )
  1908. * Set LDC to 1 more than minimum value if room.
  1909. LDC = N
  1910. IF( LDC.LT.NMAX )
  1911. $ LDC = LDC + 1
  1912. * Skip tests if not enough room.
  1913. IF( LDC.GT.NMAX )
  1914. $ GO TO 130
  1915. LCC = LDC*N
  1916. *
  1917. DO 120 IK = 1, NIDIM
  1918. K = IDIM( IK )
  1919. *
  1920. DO 110 ICT = 1, 2
  1921. TRANS = ICHT( ICT: ICT )
  1922. TRAN = TRANS.EQ.'C'
  1923. IF( TRAN.AND..NOT.CONJ )
  1924. $ TRANS = 'T'
  1925. IF( TRAN )THEN
  1926. MA = K
  1927. NA = N
  1928. ELSE
  1929. MA = N
  1930. NA = K
  1931. END IF
  1932. * Set LDA to 1 more than minimum value if room.
  1933. LDA = MA
  1934. IF( LDA.LT.NMAX )
  1935. $ LDA = LDA + 1
  1936. * Skip tests if not enough room.
  1937. IF( LDA.GT.NMAX )
  1938. $ GO TO 110
  1939. LAA = LDA*NA
  1940. *
  1941. * Generate the matrix A.
  1942. *
  1943. IF( TRAN )THEN
  1944. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, AB, 2*NMAX, AA,
  1945. $ LDA, RESET, ZERO )
  1946. ELSE
  1947. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, AB, NMAX, AA, LDA,
  1948. $ RESET, ZERO )
  1949. END IF
  1950. *
  1951. * Generate the matrix B.
  1952. *
  1953. LDB = LDA
  1954. LBB = LAA
  1955. IF( TRAN )THEN
  1956. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, AB( K + 1 ),
  1957. $ 2*NMAX, BB, LDB, RESET, ZERO )
  1958. ELSE
  1959. CALL ZMAKE( 'ge', ' ', ' ', MA, NA, AB( K*NMAX + 1 ),
  1960. $ NMAX, BB, LDB, RESET, ZERO )
  1961. END IF
  1962. *
  1963. DO 100 ICU = 1, 2
  1964. UPLO = ICHU( ICU: ICU )
  1965. UPPER = UPLO.EQ.'U'
  1966. *
  1967. DO 90 IA = 1, NALF
  1968. ALPHA = ALF( IA )
  1969. *
  1970. DO 80 IB = 1, NBET
  1971. BETA = BET( IB )
  1972. IF( CONJ )THEN
  1973. RBETA = DBLE( BETA )
  1974. BETA = DCMPLX( RBETA, RZERO )
  1975. END IF
  1976. NULL = N.LE.0
  1977. IF( CONJ )
  1978. $ NULL = NULL.OR.( ( K.LE.0.OR.ALPHA.EQ.
  1979. $ ZERO ).AND.RBETA.EQ.RONE )
  1980. *
  1981. * Generate the matrix C.
  1982. *
  1983. CALL ZMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, C,
  1984. $ NMAX, CC, LDC, RESET, ZERO )
  1985. *
  1986. NC = NC + 1
  1987. *
  1988. * Save every datum before calling the subroutine.
  1989. *
  1990. UPLOS = UPLO
  1991. TRANSS = TRANS
  1992. NS = N
  1993. KS = K
  1994. ALS = ALPHA
  1995. DO 10 I = 1, LAA
  1996. AS( I ) = AA( I )
  1997. 10 CONTINUE
  1998. LDAS = LDA
  1999. DO 20 I = 1, LBB
  2000. BS( I ) = BB( I )
  2001. 20 CONTINUE
  2002. LDBS = LDB
  2003. IF( CONJ )THEN
  2004. RBETS = RBETA
  2005. ELSE
  2006. BETS = BETA
  2007. END IF
  2008. DO 30 I = 1, LCC
  2009. CS( I ) = CC( I )
  2010. 30 CONTINUE
  2011. LDCS = LDC
  2012. *
  2013. * Call the subroutine.
  2014. *
  2015. IF( CONJ )THEN
  2016. IF( TRACE )
  2017. $ CALL ZPRCN7( NTRA, NC, SNAME, IORDER,
  2018. $ UPLO, TRANS, N, K, ALPHA, LDA, LDB,
  2019. $ RBETA, LDC)
  2020. IF( REWI )
  2021. $ REWIND NTRA
  2022. CALL CZHER2K( IORDER, UPLO, TRANS, N, K,
  2023. $ ALPHA, AA, LDA, BB, LDB, RBETA,
  2024. $ CC, LDC )
  2025. ELSE
  2026. IF( TRACE )
  2027. $ CALL ZPRCN5( NTRA, NC, SNAME, IORDER,
  2028. $ UPLO, TRANS, N, K, ALPHA, LDA, LDB,
  2029. $ BETA, LDC)
  2030. IF( REWI )
  2031. $ REWIND NTRA
  2032. CALL CZSYR2K( IORDER, UPLO, TRANS, N, K,
  2033. $ ALPHA, AA, LDA, BB, LDB, BETA,
  2034. $ CC, LDC )
  2035. END IF
  2036. *
  2037. * Check if error-exit was taken incorrectly.
  2038. *
  2039. IF( .NOT.OK )THEN
  2040. WRITE( NOUT, FMT = 9992 )
  2041. FATAL = .TRUE.
  2042. GO TO 150
  2043. END IF
  2044. *
  2045. * See what data changed inside subroutines.
  2046. *
  2047. ISAME( 1 ) = UPLOS.EQ.UPLO
  2048. ISAME( 2 ) = TRANSS.EQ.TRANS
  2049. ISAME( 3 ) = NS.EQ.N
  2050. ISAME( 4 ) = KS.EQ.K
  2051. ISAME( 5 ) = ALS.EQ.ALPHA
  2052. ISAME( 6 ) = LZE( AS, AA, LAA )
  2053. ISAME( 7 ) = LDAS.EQ.LDA
  2054. ISAME( 8 ) = LZE( BS, BB, LBB )
  2055. ISAME( 9 ) = LDBS.EQ.LDB
  2056. IF( CONJ )THEN
  2057. ISAME( 10 ) = RBETS.EQ.RBETA
  2058. ELSE
  2059. ISAME( 10 ) = BETS.EQ.BETA
  2060. END IF
  2061. IF( NULL )THEN
  2062. ISAME( 11 ) = LZE( CS, CC, LCC )
  2063. ELSE
  2064. ISAME( 11 ) = LZERES( 'he', UPLO, N, N, CS,
  2065. $ CC, LDC )
  2066. END IF
  2067. ISAME( 12 ) = LDCS.EQ.LDC
  2068. *
  2069. * If data was incorrectly changed, report and
  2070. * return.
  2071. *
  2072. SAME = .TRUE.
  2073. DO 40 I = 1, NARGS
  2074. SAME = SAME.AND.ISAME( I )
  2075. IF( .NOT.ISAME( I ) )
  2076. $ WRITE( NOUT, FMT = 9998 )I
  2077. 40 CONTINUE
  2078. IF( .NOT.SAME )THEN
  2079. FATAL = .TRUE.
  2080. GO TO 150
  2081. END IF
  2082. *
  2083. IF( .NOT.NULL )THEN
  2084. *
  2085. * Check the result column by column.
  2086. *
  2087. IF( CONJ )THEN
  2088. TRANST = 'C'
  2089. ELSE
  2090. TRANST = 'T'
  2091. END IF
  2092. JJAB = 1
  2093. JC = 1
  2094. DO 70 J = 1, N
  2095. IF( UPPER )THEN
  2096. JJ = 1
  2097. LJ = J
  2098. ELSE
  2099. JJ = J
  2100. LJ = N - J + 1
  2101. END IF
  2102. IF( TRAN )THEN
  2103. DO 50 I = 1, K
  2104. W( I ) = ALPHA*AB( ( J - 1 )*2*
  2105. $ NMAX + K + I )
  2106. IF( CONJ )THEN
  2107. W( K + I ) = DCONJG( ALPHA )*
  2108. $ AB( ( J - 1 )*2*
  2109. $ NMAX + I )
  2110. ELSE
  2111. W( K + I ) = ALPHA*
  2112. $ AB( ( J - 1 )*2*
  2113. $ NMAX + I )
  2114. END IF
  2115. 50 CONTINUE
  2116. CALL ZMMCH( TRANST, 'N', LJ, 1, 2*K,
  2117. $ ONE, AB( JJAB ), 2*NMAX, W,
  2118. $ 2*NMAX, BETA, C( JJ, J ),
  2119. $ NMAX, CT, G, CC( JC ), LDC,
  2120. $ EPS, ERR, FATAL, NOUT,
  2121. $ .TRUE. )
  2122. ELSE
  2123. DO 60 I = 1, K
  2124. IF( CONJ )THEN
  2125. W( I ) = ALPHA*DCONJG( AB( ( K +
  2126. $ I - 1 )*NMAX + J ) )
  2127. W( K + I ) = DCONJG( ALPHA*
  2128. $ AB( ( I - 1 )*NMAX +
  2129. $ J ) )
  2130. ELSE
  2131. W( I ) = ALPHA*AB( ( K + I - 1 )*
  2132. $ NMAX + J )
  2133. W( K + I ) = ALPHA*
  2134. $ AB( ( I - 1 )*NMAX +
  2135. $ J )
  2136. END IF
  2137. 60 CONTINUE
  2138. CALL ZMMCH( 'N', 'N', LJ, 1, 2*K, ONE,
  2139. $ AB( JJ ), NMAX, W, 2*NMAX,
  2140. $ BETA, C( JJ, J ), NMAX, CT,
  2141. $ G, CC( JC ), LDC, EPS, ERR,
  2142. $ FATAL, NOUT, .TRUE. )
  2143. END IF
  2144. IF( UPPER )THEN
  2145. JC = JC + LDC
  2146. ELSE
  2147. JC = JC + LDC + 1
  2148. IF( TRAN )
  2149. $ JJAB = JJAB + 2*NMAX
  2150. END IF
  2151. ERRMAX = MAX( ERRMAX, ERR )
  2152. * If got really bad answer, report and
  2153. * return.
  2154. IF( FATAL )
  2155. $ GO TO 140
  2156. 70 CONTINUE
  2157. END IF
  2158. *
  2159. 80 CONTINUE
  2160. *
  2161. 90 CONTINUE
  2162. *
  2163. 100 CONTINUE
  2164. *
  2165. 110 CONTINUE
  2166. *
  2167. 120 CONTINUE
  2168. *
  2169. 130 CONTINUE
  2170. *
  2171. * Report result.
  2172. *
  2173. IF( ERRMAX.LT.THRESH )THEN
  2174. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  2175. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  2176. ELSE
  2177. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  2178. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  2179. END IF
  2180. GO TO 160
  2181. *
  2182. 140 CONTINUE
  2183. IF( N.GT.1 )
  2184. $ WRITE( NOUT, FMT = 9995 )J
  2185. *
  2186. 150 CONTINUE
  2187. WRITE( NOUT, FMT = 9996 )SNAME
  2188. IF( CONJ )THEN
  2189. CALL ZPRCN7( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K,
  2190. $ ALPHA, LDA, LDB, RBETA, LDC)
  2191. ELSE
  2192. CALL ZPRCN5( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K,
  2193. $ ALPHA, LDA, LDB, BETA, LDC)
  2194. END IF
  2195. *
  2196. 160 CONTINUE
  2197. RETURN
  2198. *
  2199. 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  2200. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2201. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2202. 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  2203. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2204. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2205. 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  2206. $ ' (', I6, ' CALL', 'S)' )
  2207. 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  2208. $ ' (', I6, ' CALL', 'S)' )
  2209. 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  2210. $ 'ANGED INCORRECTLY *******' )
  2211. 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
  2212. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2213. 9994 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  2214. $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',', F4.1,
  2215. $ ', C,', I3, ') .' )
  2216. 9993 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  2217. $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1,
  2218. $ ',', F4.1, '), C,', I3, ') .' )
  2219. 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  2220. $ '******' )
  2221. *
  2222. * End of ZCHK5.
  2223. *
  2224. END
  2225. *
  2226. SUBROUTINE ZPRCN5(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  2227. $ N, K, ALPHA, LDA, LDB, BETA, LDC)
  2228. INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
  2229. DOUBLE COMPLEX ALPHA, BETA
  2230. CHARACTER*1 UPLO, TRANSA
  2231. CHARACTER*13 SNAME
  2232. CHARACTER*14 CRC, CU, CA
  2233. IF (UPLO.EQ.'U')THEN
  2234. CU = ' CblasUpper'
  2235. ELSE
  2236. CU = ' CblasLower'
  2237. END IF
  2238. IF (TRANSA.EQ.'N')THEN
  2239. CA = ' CblasNoTrans'
  2240. ELSE IF (TRANSA.EQ.'T')THEN
  2241. CA = ' CblasTrans'
  2242. ELSE
  2243. CA = 'CblasConjTrans'
  2244. END IF
  2245. IF (IORDER.EQ.1)THEN
  2246. CRC = ' CblasRowMajor'
  2247. ELSE
  2248. CRC = ' CblasColMajor'
  2249. END IF
  2250. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  2251. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
  2252. 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
  2253. 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1, '), A,',
  2254. $ I3, ', B', I3, ', (', F4.1, ',', F4.1, '), C,', I3, ').' )
  2255. END
  2256. *
  2257. *
  2258. SUBROUTINE ZPRCN7(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  2259. $ N, K, ALPHA, LDA, LDB, BETA, LDC)
  2260. INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
  2261. DOUBLE COMPLEX ALPHA
  2262. DOUBLE PRECISION BETA
  2263. CHARACTER*1 UPLO, TRANSA
  2264. CHARACTER*13 SNAME
  2265. CHARACTER*14 CRC, CU, CA
  2266. IF (UPLO.EQ.'U')THEN
  2267. CU = ' CblasUpper'
  2268. ELSE
  2269. CU = ' CblasLower'
  2270. END IF
  2271. IF (TRANSA.EQ.'N')THEN
  2272. CA = ' CblasNoTrans'
  2273. ELSE IF (TRANSA.EQ.'T')THEN
  2274. CA = ' CblasTrans'
  2275. ELSE
  2276. CA = 'CblasConjTrans'
  2277. END IF
  2278. IF (IORDER.EQ.1)THEN
  2279. CRC = ' CblasRowMajor'
  2280. ELSE
  2281. CRC = ' CblasColMajor'
  2282. END IF
  2283. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  2284. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
  2285. 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
  2286. 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1, '), A,',
  2287. $ I3, ', B', I3, ',', F4.1, ', C,', I3, ').' )
  2288. END
  2289. *
  2290. SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET,
  2291. $ TRANSL )
  2292. *
  2293. * Generates values for an M by N matrix A.
  2294. * Stores the values in the array AA in the data structure required
  2295. * by the routine, with unwanted elements set to rogue value.
  2296. *
  2297. * TYPE is 'ge', 'he', 'sy' or 'tr'.
  2298. *
  2299. * Auxiliary routine for test program for Level 3 Blas.
  2300. *
  2301. * -- Written on 8-February-1989.
  2302. * Jack Dongarra, Argonne National Laboratory.
  2303. * Iain Duff, AERE Harwell.
  2304. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2305. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2306. *
  2307. * .. Parameters ..
  2308. COMPLEX*16 ZERO, ONE
  2309. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
  2310. $ ONE = ( 1.0D0, 0.0D0 ) )
  2311. COMPLEX*16 ROGUE
  2312. PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
  2313. DOUBLE PRECISION RZERO
  2314. PARAMETER ( RZERO = 0.0D0 )
  2315. DOUBLE PRECISION RROGUE
  2316. PARAMETER ( RROGUE = -1.0D10 )
  2317. * .. Scalar Arguments ..
  2318. COMPLEX*16 TRANSL
  2319. INTEGER LDA, M, N, NMAX
  2320. LOGICAL RESET
  2321. CHARACTER*1 DIAG, UPLO
  2322. CHARACTER*2 TYPE
  2323. * .. Array Arguments ..
  2324. COMPLEX*16 A( NMAX, * ), AA( * )
  2325. * .. Local Scalars ..
  2326. INTEGER I, IBEG, IEND, J, JJ
  2327. LOGICAL GEN, HER, LOWER, SYM, TRI, UNIT, UPPER
  2328. * .. External Functions ..
  2329. COMPLEX*16 ZBEG
  2330. EXTERNAL ZBEG
  2331. * .. Intrinsic Functions ..
  2332. INTRINSIC DCMPLX, DCONJG, DBLE
  2333. * .. Executable Statements ..
  2334. GEN = TYPE.EQ.'ge'
  2335. HER = TYPE.EQ.'he'
  2336. SYM = TYPE.EQ.'sy'
  2337. TRI = TYPE.EQ.'tr'
  2338. UPPER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'U'
  2339. LOWER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'L'
  2340. UNIT = TRI.AND.DIAG.EQ.'U'
  2341. *
  2342. * Generate data in array A.
  2343. *
  2344. DO 20 J = 1, N
  2345. DO 10 I = 1, M
  2346. IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
  2347. $ THEN
  2348. A( I, J ) = ZBEG( RESET ) + TRANSL
  2349. IF( I.NE.J )THEN
  2350. * Set some elements to zero
  2351. IF( N.GT.3.AND.J.EQ.N/2 )
  2352. $ A( I, J ) = ZERO
  2353. IF( HER )THEN
  2354. A( J, I ) = DCONJG( A( I, J ) )
  2355. ELSE IF( SYM )THEN
  2356. A( J, I ) = A( I, J )
  2357. ELSE IF( TRI )THEN
  2358. A( J, I ) = ZERO
  2359. END IF
  2360. END IF
  2361. END IF
  2362. 10 CONTINUE
  2363. IF( HER )
  2364. $ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
  2365. IF( TRI )
  2366. $ A( J, J ) = A( J, J ) + ONE
  2367. IF( UNIT )
  2368. $ A( J, J ) = ONE
  2369. 20 CONTINUE
  2370. *
  2371. * Store elements in array AS in data structure required by routine.
  2372. *
  2373. IF( TYPE.EQ.'ge' )THEN
  2374. DO 50 J = 1, N
  2375. DO 30 I = 1, M
  2376. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2377. 30 CONTINUE
  2378. DO 40 I = M + 1, LDA
  2379. AA( I + ( J - 1 )*LDA ) = ROGUE
  2380. 40 CONTINUE
  2381. 50 CONTINUE
  2382. ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'sy'.OR.TYPE.EQ.'tr' )THEN
  2383. DO 90 J = 1, N
  2384. IF( UPPER )THEN
  2385. IBEG = 1
  2386. IF( UNIT )THEN
  2387. IEND = J - 1
  2388. ELSE
  2389. IEND = J
  2390. END IF
  2391. ELSE
  2392. IF( UNIT )THEN
  2393. IBEG = J + 1
  2394. ELSE
  2395. IBEG = J
  2396. END IF
  2397. IEND = N
  2398. END IF
  2399. DO 60 I = 1, IBEG - 1
  2400. AA( I + ( J - 1 )*LDA ) = ROGUE
  2401. 60 CONTINUE
  2402. DO 70 I = IBEG, IEND
  2403. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2404. 70 CONTINUE
  2405. DO 80 I = IEND + 1, LDA
  2406. AA( I + ( J - 1 )*LDA ) = ROGUE
  2407. 80 CONTINUE
  2408. IF( HER )THEN
  2409. JJ = J + ( J - 1 )*LDA
  2410. AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
  2411. END IF
  2412. 90 CONTINUE
  2413. END IF
  2414. RETURN
  2415. *
  2416. * End of ZMAKE.
  2417. *
  2418. END
  2419. SUBROUTINE ZMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB,
  2420. $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL,
  2421. $ NOUT, MV )
  2422. *
  2423. * Checks the results of the computational tests.
  2424. *
  2425. * Auxiliary routine for test program for Level 3 Blas.
  2426. *
  2427. * -- Written on 8-February-1989.
  2428. * Jack Dongarra, Argonne National Laboratory.
  2429. * Iain Duff, AERE Harwell.
  2430. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2431. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2432. *
  2433. * .. Parameters ..
  2434. COMPLEX*16 ZERO
  2435. PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
  2436. DOUBLE PRECISION RZERO, RONE
  2437. PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
  2438. * .. Scalar Arguments ..
  2439. COMPLEX*16 ALPHA, BETA
  2440. DOUBLE PRECISION EPS, ERR
  2441. INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT
  2442. LOGICAL FATAL, MV
  2443. CHARACTER*1 TRANSA, TRANSB
  2444. * .. Array Arguments ..
  2445. COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * ),
  2446. $ CC( LDCC, * ), CT( * )
  2447. DOUBLE PRECISION G( * )
  2448. * .. Local Scalars ..
  2449. COMPLEX*16 CL
  2450. DOUBLE PRECISION ERRI
  2451. INTEGER I, J, K
  2452. LOGICAL CTRANA, CTRANB, TRANA, TRANB
  2453. * .. Intrinsic Functions ..
  2454. INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT
  2455. * .. Statement Functions ..
  2456. DOUBLE PRECISION ABS1
  2457. * .. Statement Function definitions ..
  2458. ABS1( CL ) = ABS( DBLE( CL ) ) + ABS( DIMAG( CL ) )
  2459. * .. Executable Statements ..
  2460. TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
  2461. TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
  2462. CTRANA = TRANSA.EQ.'C'
  2463. CTRANB = TRANSB.EQ.'C'
  2464. *
  2465. * Compute expected result, one column at a time, in CT using data
  2466. * in A, B and C.
  2467. * Compute gauges in G.
  2468. *
  2469. DO 220 J = 1, N
  2470. *
  2471. DO 10 I = 1, M
  2472. CT( I ) = ZERO
  2473. G( I ) = RZERO
  2474. 10 CONTINUE
  2475. IF( .NOT.TRANA.AND..NOT.TRANB )THEN
  2476. DO 30 K = 1, KK
  2477. DO 20 I = 1, M
  2478. CT( I ) = CT( I ) + A( I, K )*B( K, J )
  2479. G( I ) = G( I ) + ABS1( A( I, K ) )*ABS1( B( K, J ) )
  2480. 20 CONTINUE
  2481. 30 CONTINUE
  2482. ELSE IF( TRANA.AND..NOT.TRANB )THEN
  2483. IF( CTRANA )THEN
  2484. DO 50 K = 1, KK
  2485. DO 40 I = 1, M
  2486. CT( I ) = CT( I ) + DCONJG( A( K, I ) )*B( K, J )
  2487. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2488. $ ABS1( B( K, J ) )
  2489. 40 CONTINUE
  2490. 50 CONTINUE
  2491. ELSE
  2492. DO 70 K = 1, KK
  2493. DO 60 I = 1, M
  2494. CT( I ) = CT( I ) + A( K, I )*B( K, J )
  2495. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2496. $ ABS1( B( K, J ) )
  2497. 60 CONTINUE
  2498. 70 CONTINUE
  2499. END IF
  2500. ELSE IF( .NOT.TRANA.AND.TRANB )THEN
  2501. IF( CTRANB )THEN
  2502. DO 90 K = 1, KK
  2503. DO 80 I = 1, M
  2504. CT( I ) = CT( I ) + A( I, K )*DCONJG( B( J, K ) )
  2505. G( I ) = G( I ) + ABS1( A( I, K ) )*
  2506. $ ABS1( B( J, K ) )
  2507. 80 CONTINUE
  2508. 90 CONTINUE
  2509. ELSE
  2510. DO 110 K = 1, KK
  2511. DO 100 I = 1, M
  2512. CT( I ) = CT( I ) + A( I, K )*B( J, K )
  2513. G( I ) = G( I ) + ABS1( A( I, K ) )*
  2514. $ ABS1( B( J, K ) )
  2515. 100 CONTINUE
  2516. 110 CONTINUE
  2517. END IF
  2518. ELSE IF( TRANA.AND.TRANB )THEN
  2519. IF( CTRANA )THEN
  2520. IF( CTRANB )THEN
  2521. DO 130 K = 1, KK
  2522. DO 120 I = 1, M
  2523. CT( I ) = CT( I ) + DCONJG( A( K, I ) )*
  2524. $ DCONJG( B( J, K ) )
  2525. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2526. $ ABS1( B( J, K ) )
  2527. 120 CONTINUE
  2528. 130 CONTINUE
  2529. ELSE
  2530. DO 150 K = 1, KK
  2531. DO 140 I = 1, M
  2532. CT( I ) = CT( I ) + DCONJG( A( K, I ) )*
  2533. $ B( J, K )
  2534. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2535. $ ABS1( B( J, K ) )
  2536. 140 CONTINUE
  2537. 150 CONTINUE
  2538. END IF
  2539. ELSE
  2540. IF( CTRANB )THEN
  2541. DO 170 K = 1, KK
  2542. DO 160 I = 1, M
  2543. CT( I ) = CT( I ) + A( K, I )*
  2544. $ DCONJG( B( J, K ) )
  2545. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2546. $ ABS1( B( J, K ) )
  2547. 160 CONTINUE
  2548. 170 CONTINUE
  2549. ELSE
  2550. DO 190 K = 1, KK
  2551. DO 180 I = 1, M
  2552. CT( I ) = CT( I ) + A( K, I )*B( J, K )
  2553. G( I ) = G( I ) + ABS1( A( K, I ) )*
  2554. $ ABS1( B( J, K ) )
  2555. 180 CONTINUE
  2556. 190 CONTINUE
  2557. END IF
  2558. END IF
  2559. END IF
  2560. DO 200 I = 1, M
  2561. CT( I ) = ALPHA*CT( I ) + BETA*C( I, J )
  2562. G( I ) = ABS1( ALPHA )*G( I ) +
  2563. $ ABS1( BETA )*ABS1( C( I, J ) )
  2564. 200 CONTINUE
  2565. *
  2566. * Compute the error ratio for this result.
  2567. *
  2568. ERR = ZERO
  2569. DO 210 I = 1, M
  2570. ERRI = ABS1( CT( I ) - CC( I, J ) )/EPS
  2571. IF( G( I ).NE.RZERO )
  2572. $ ERRI = ERRI/G( I )
  2573. ERR = MAX( ERR, ERRI )
  2574. IF( ERR*SQRT( EPS ).GE.RONE )
  2575. $ GO TO 230
  2576. 210 CONTINUE
  2577. *
  2578. 220 CONTINUE
  2579. *
  2580. * If the loop completes, all results are at least half accurate.
  2581. GO TO 250
  2582. *
  2583. * Report fatal error.
  2584. *
  2585. 230 FATAL = .TRUE.
  2586. WRITE( NOUT, FMT = 9999 )
  2587. DO 240 I = 1, M
  2588. IF( MV )THEN
  2589. WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J )
  2590. ELSE
  2591. WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I )
  2592. END IF
  2593. 240 CONTINUE
  2594. IF( N.GT.1 )
  2595. $ WRITE( NOUT, FMT = 9997 )J
  2596. *
  2597. 250 CONTINUE
  2598. RETURN
  2599. *
  2600. 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
  2601. $ 'F ACCURATE *******', /' EXPECTED RE',
  2602. $ 'SULT COMPUTED RESULT' )
  2603. 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
  2604. 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2605. *
  2606. * End of ZMMCH.
  2607. *
  2608. END
  2609. LOGICAL FUNCTION LZE( RI, RJ, LR )
  2610. *
  2611. * Tests if two arrays are identical.
  2612. *
  2613. * Auxiliary routine for test program for Level 3 Blas.
  2614. *
  2615. * -- Written on 8-February-1989.
  2616. * Jack Dongarra, Argonne National Laboratory.
  2617. * Iain Duff, AERE Harwell.
  2618. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2619. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2620. *
  2621. * .. Scalar Arguments ..
  2622. INTEGER LR
  2623. * .. Array Arguments ..
  2624. COMPLEX*16 RI( * ), RJ( * )
  2625. * .. Local Scalars ..
  2626. INTEGER I
  2627. * .. Executable Statements ..
  2628. DO 10 I = 1, LR
  2629. IF( RI( I ).NE.RJ( I ) )
  2630. $ GO TO 20
  2631. 10 CONTINUE
  2632. LZE = .TRUE.
  2633. GO TO 30
  2634. 20 CONTINUE
  2635. LZE = .FALSE.
  2636. 30 RETURN
  2637. *
  2638. * End of LZE.
  2639. *
  2640. END
  2641. LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
  2642. *
  2643. * Tests if selected elements in two arrays are equal.
  2644. *
  2645. * TYPE is 'ge' or 'he' or 'sy'.
  2646. *
  2647. * Auxiliary routine for test program for Level 3 Blas.
  2648. *
  2649. * -- Written on 8-February-1989.
  2650. * Jack Dongarra, Argonne National Laboratory.
  2651. * Iain Duff, AERE Harwell.
  2652. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2653. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2654. *
  2655. * .. Scalar Arguments ..
  2656. INTEGER LDA, M, N
  2657. CHARACTER*1 UPLO
  2658. CHARACTER*2 TYPE
  2659. * .. Array Arguments ..
  2660. COMPLEX*16 AA( LDA, * ), AS( LDA, * )
  2661. * .. Local Scalars ..
  2662. INTEGER I, IBEG, IEND, J
  2663. LOGICAL UPPER
  2664. * .. Executable Statements ..
  2665. UPPER = UPLO.EQ.'U'
  2666. IF( TYPE.EQ.'ge' )THEN
  2667. DO 20 J = 1, N
  2668. DO 10 I = M + 1, LDA
  2669. IF( AA( I, J ).NE.AS( I, J ) )
  2670. $ GO TO 70
  2671. 10 CONTINUE
  2672. 20 CONTINUE
  2673. ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'sy' )THEN
  2674. DO 50 J = 1, N
  2675. IF( UPPER )THEN
  2676. IBEG = 1
  2677. IEND = J
  2678. ELSE
  2679. IBEG = J
  2680. IEND = N
  2681. END IF
  2682. DO 30 I = 1, IBEG - 1
  2683. IF( AA( I, J ).NE.AS( I, J ) )
  2684. $ GO TO 70
  2685. 30 CONTINUE
  2686. DO 40 I = IEND + 1, LDA
  2687. IF( AA( I, J ).NE.AS( I, J ) )
  2688. $ GO TO 70
  2689. 40 CONTINUE
  2690. 50 CONTINUE
  2691. END IF
  2692. *
  2693. 60 CONTINUE
  2694. LZERES = .TRUE.
  2695. GO TO 80
  2696. 70 CONTINUE
  2697. LZERES = .FALSE.
  2698. 80 RETURN
  2699. *
  2700. * End of LZERES.
  2701. *
  2702. END
  2703. COMPLEX*16 FUNCTION ZBEG( RESET )
  2704. *
  2705. * Generates complex numbers as pairs of random numbers uniformly
  2706. * distributed between -0.5 and 0.5.
  2707. *
  2708. * Auxiliary routine for test program for Level 3 Blas.
  2709. *
  2710. * -- Written on 8-February-1989.
  2711. * Jack Dongarra, Argonne National Laboratory.
  2712. * Iain Duff, AERE Harwell.
  2713. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2714. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2715. *
  2716. * .. Scalar Arguments ..
  2717. LOGICAL RESET
  2718. * .. Local Scalars ..
  2719. INTEGER I, IC, J, MI, MJ
  2720. * .. Save statement ..
  2721. SAVE I, IC, J, MI, MJ
  2722. * .. Intrinsic Functions ..
  2723. INTRINSIC DCMPLX
  2724. * .. Executable Statements ..
  2725. IF( RESET )THEN
  2726. * Initialize local variables.
  2727. MI = 891
  2728. MJ = 457
  2729. I = 7
  2730. J = 7
  2731. IC = 0
  2732. RESET = .FALSE.
  2733. END IF
  2734. *
  2735. * The sequence of values of I or J is bounded between 1 and 999.
  2736. * If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
  2737. * If initial I or J = 4 or 8, the period will be 25.
  2738. * If initial I or J = 5, the period will be 10.
  2739. * IC is used to break up the period by skipping 1 value of I or J
  2740. * in 6.
  2741. *
  2742. IC = IC + 1
  2743. 10 I = I*MI
  2744. J = J*MJ
  2745. I = I - 1000*( I/1000 )
  2746. J = J - 1000*( J/1000 )
  2747. IF( IC.GE.5 )THEN
  2748. IC = 0
  2749. GO TO 10
  2750. END IF
  2751. ZBEG = DCMPLX( ( I - 500 )/1001.0D0, ( J - 500 )/1001.0D0 )
  2752. RETURN
  2753. *
  2754. * End of ZBEG.
  2755. *
  2756. END
  2757. DOUBLE PRECISION FUNCTION DDIFF( X, Y )
  2758. *
  2759. * Auxiliary routine for test program for Level 3 Blas.
  2760. *
  2761. * -- Written on 8-February-1989.
  2762. * Jack Dongarra, Argonne National Laboratory.
  2763. * Iain Duff, AERE Harwell.
  2764. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2765. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2766. *
  2767. * .. Scalar Arguments ..
  2768. DOUBLE PRECISION X, Y
  2769. * .. Executable Statements ..
  2770. DDIFF = X - Y
  2771. RETURN
  2772. *
  2773. * End of DDIFF.
  2774. *
  2775. END