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c_dblat3.f 88 kB

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  1. PROGRAM DBLAT3
  2. *
  3. * Test program for the DOUBLE PRECISION 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 6 records
  7. * are read using the format ( A12, L2 ). An annotated example of a data
  8. * file can be obtained by deleting the first 3 characters from the
  9. * following 19 lines:
  10. * 'DBLAT3.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 1.0 0.7 VALUES OF ALPHA
  21. * 3 NUMBER OF VALUES OF BETA
  22. * 0.0 1.0 1.3 VALUES OF BETA
  23. * cblas_dgemm T PUT F FOR NO TEST. SAME COLUMNS.
  24. * cblas_dsymm T PUT F FOR NO TEST. SAME COLUMNS.
  25. * cblas_dtrmm T PUT F FOR NO TEST. SAME COLUMNS.
  26. * cblas_dtrsm T PUT F FOR NO TEST. SAME COLUMNS.
  27. * cblas_dsyrk T PUT F FOR NO TEST. SAME COLUMNS.
  28. * cblas_dsyr2k T PUT F FOR NO TEST. SAME COLUMNS.
  29. *
  30. * See:
  31. *
  32. * Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S.
  33. * A Set of Level 3 Basic Linear Algebra Subprograms.
  34. *
  35. * Technical Memorandum No.88 (Revision 1), Mathematics and
  36. * Computer Science Division, Argonne National Laboratory, 9700
  37. * South Cass Avenue, Argonne, Illinois 60439, US.
  38. *
  39. * -- Written on 8-February-1989.
  40. * Jack Dongarra, Argonne National Laboratory.
  41. * Iain Duff, AERE Harwell.
  42. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  43. * Sven Hammarling, Numerical Algorithms Group Ltd.
  44. *
  45. * .. Parameters ..
  46. INTEGER NIN, NOUT
  47. PARAMETER ( NIN = 5, NOUT = 6 )
  48. INTEGER NSUBS
  49. PARAMETER ( NSUBS = 6 )
  50. DOUBLE PRECISION ZERO, HALF, ONE
  51. PARAMETER ( ZERO = 0.0D0, HALF = 0.5D0, ONE = 1.0D0 )
  52. INTEGER NMAX
  53. PARAMETER ( NMAX = 65 )
  54. INTEGER NIDMAX, NALMAX, NBEMAX
  55. PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 )
  56. * .. Local Scalars ..
  57. DOUBLE PRECISION EPS, ERR, THRESH
  58. INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NTRA,
  59. $ LAYOUT
  60. LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
  61. $ TSTERR, CORDER, RORDER
  62. CHARACTER*1 TRANSA, TRANSB
  63. CHARACTER*12 SNAMET
  64. CHARACTER*32 SNAPS
  65. * .. Local Arrays ..
  66. DOUBLE PRECISION AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ),
  67. $ ALF( NALMAX ), AS( NMAX*NMAX ),
  68. $ BB( NMAX*NMAX ), BET( NBEMAX ),
  69. $ BS( NMAX*NMAX ), C( NMAX, NMAX ),
  70. $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
  71. $ G( NMAX ), W( 2*NMAX )
  72. INTEGER IDIM( NIDMAX )
  73. LOGICAL LTEST( NSUBS )
  74. CHARACTER*12 SNAMES( NSUBS )
  75. * .. External Functions ..
  76. DOUBLE PRECISION DDIFF
  77. LOGICAL LDE
  78. EXTERNAL DDIFF, LDE
  79. * .. External Subroutines ..
  80. EXTERNAL DCHK1, DCHK2, DCHK3, DCHK4, DCHK5, CD3CHKE,
  81. $ DMMCH
  82. * .. Intrinsic Functions ..
  83. INTRINSIC MAX, MIN
  84. * .. Scalars in Common ..
  85. INTEGER INFOT, NOUTC
  86. LOGICAL OK
  87. CHARACTER*12 SRNAMT
  88. * .. Common blocks ..
  89. COMMON /INFOC/INFOT, NOUTC, OK
  90. COMMON /SRNAMC/SRNAMT
  91. * .. Data statements ..
  92. DATA SNAMES/'cblas_dgemm ', 'cblas_dsymm ',
  93. $ 'cblas_dtrmm ', 'cblas_dtrsm ','cblas_dsyrk ',
  94. $ 'cblas_dsyr2k'/
  95. * .. Executable Statements ..
  96. *
  97. * Read name and unit number for summary output file and open file.
  98. *
  99. NOUTC = NOUT
  100. * Read name and unit number for snapshot output file and open file.
  101. *
  102. READ( NIN, FMT = * )SNAPS
  103. READ( NIN, FMT = * )NTRA
  104. TRACE = NTRA.GE.0
  105. IF( TRACE )THEN
  106. OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' )
  107. END IF
  108. * Read the flag that directs rewinding of the snapshot file.
  109. READ( NIN, FMT = * )REWI
  110. REWI = REWI.AND.TRACE
  111. * Read the flag that directs stopping on any failure.
  112. READ( NIN, FMT = * )SFATAL
  113. * Read the flag that indicates whether error exits are to be tested.
  114. READ( NIN, FMT = * )TSTERR
  115. * Read the flag that indicates whether row-major data layout to be tested.
  116. READ( NIN, FMT = * )LAYOUT
  117. * Read the threshold value of the test ratio
  118. READ( NIN, FMT = * )THRESH
  119. *
  120. * Read and check the parameter values for the tests.
  121. *
  122. * Values of N
  123. READ( NIN, FMT = * )NIDIM
  124. IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
  125. WRITE( NOUT, FMT = 9997 )'N', NIDMAX
  126. GO TO 220
  127. END IF
  128. READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
  129. DO 10 I = 1, NIDIM
  130. IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
  131. WRITE( NOUT, FMT = 9996 )NMAX
  132. GO TO 220
  133. END IF
  134. 10 CONTINUE
  135. * Values of ALPHA
  136. READ( NIN, FMT = * )NALF
  137. IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
  138. WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
  139. GO TO 220
  140. END IF
  141. READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
  142. * Values of BETA
  143. READ( NIN, FMT = * )NBET
  144. IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
  145. WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
  146. GO TO 220
  147. END IF
  148. READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
  149. *
  150. * Report values of parameters.
  151. *
  152. WRITE( NOUT, FMT = 9995 )
  153. WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM )
  154. WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF )
  155. WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET )
  156. IF( .NOT.TSTERR )THEN
  157. WRITE( NOUT, FMT = * )
  158. WRITE( NOUT, FMT = 9984 )
  159. END IF
  160. WRITE( NOUT, FMT = * )
  161. WRITE( NOUT, FMT = 9999 )THRESH
  162. WRITE( NOUT, FMT = * )
  163. RORDER = .FALSE.
  164. CORDER = .FALSE.
  165. IF (LAYOUT.EQ.2) THEN
  166. RORDER = .TRUE.
  167. CORDER = .TRUE.
  168. WRITE( *, FMT = 10002 )
  169. ELSE IF (LAYOUT.EQ.1) THEN
  170. RORDER = .TRUE.
  171. WRITE( *, FMT = 10001 )
  172. ELSE IF (LAYOUT.EQ.0) THEN
  173. CORDER = .TRUE.
  174. WRITE( *, FMT = 10000 )
  175. END IF
  176. WRITE( *, FMT = * )
  177. *
  178. * Read names of subroutines and flags which indicate
  179. * whether they are to be tested.
  180. *
  181. DO 20 I = 1, NSUBS
  182. LTEST( I ) = .FALSE.
  183. 20 CONTINUE
  184. 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT
  185. DO 40 I = 1, NSUBS
  186. IF( SNAMET.EQ.SNAMES( I ) )
  187. $ GO TO 50
  188. 40 CONTINUE
  189. WRITE( NOUT, FMT = 9990 )SNAMET
  190. STOP
  191. 50 LTEST( I ) = LTESTT
  192. GO TO 30
  193. *
  194. 60 CONTINUE
  195. CLOSE ( NIN )
  196. *
  197. * Compute EPS (the machine precision).
  198. *
  199. EPS = ONE
  200. 70 CONTINUE
  201. IF( DDIFF( ONE + EPS, ONE ).EQ.ZERO )
  202. $ GO TO 80
  203. EPS = HALF*EPS
  204. GO TO 70
  205. 80 CONTINUE
  206. EPS = EPS + EPS
  207. WRITE( NOUT, FMT = 9998 )EPS
  208. *
  209. * Check the reliability of DMMCH using exact data.
  210. *
  211. N = MIN( 32, NMAX )
  212. DO 100 J = 1, N
  213. DO 90 I = 1, N
  214. AB( I, J ) = MAX( I - J + 1, 0 )
  215. 90 CONTINUE
  216. AB( J, NMAX + 1 ) = J
  217. AB( 1, NMAX + J ) = J
  218. C( J, 1 ) = ZERO
  219. 100 CONTINUE
  220. DO 110 J = 1, N
  221. CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
  222. 110 CONTINUE
  223. * CC holds the exact result. On exit from DMMCH CT holds
  224. * the result computed by DMMCH.
  225. TRANSA = 'N'
  226. TRANSB = 'N'
  227. CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  228. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  229. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  230. SAME = LDE( CC, CT, N )
  231. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  232. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  233. STOP
  234. END IF
  235. TRANSB = 'T'
  236. CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  237. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  238. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  239. SAME = LDE( CC, CT, N )
  240. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  241. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  242. STOP
  243. END IF
  244. DO 120 J = 1, N
  245. AB( J, NMAX + 1 ) = N - J + 1
  246. AB( 1, NMAX + J ) = N - J + 1
  247. 120 CONTINUE
  248. DO 130 J = 1, N
  249. CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 -
  250. $ ( ( J + 1 )*J*( J - 1 ) )/3
  251. 130 CONTINUE
  252. TRANSA = 'T'
  253. TRANSB = 'N'
  254. CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  255. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  256. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  257. SAME = LDE( CC, CT, N )
  258. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  259. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  260. STOP
  261. END IF
  262. TRANSB = 'T'
  263. CALL DMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  264. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  265. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  266. SAME = LDE( CC, CT, N )
  267. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  268. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  269. STOP
  270. END IF
  271. *
  272. * Test each subroutine in turn.
  273. *
  274. DO 200 ISNUM = 1, NSUBS
  275. WRITE( NOUT, FMT = * )
  276. IF( .NOT.LTEST( ISNUM ) )THEN
  277. * Subprogram is not to be tested.
  278. WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM )
  279. ELSE
  280. SRNAMT = SNAMES( ISNUM )
  281. * Test error exits.
  282. IF( TSTERR )THEN
  283. CALL CD3CHKE( SNAMES( ISNUM ) )
  284. WRITE( NOUT, FMT = * )
  285. END IF
  286. * Test computations.
  287. INFOT = 0
  288. OK = .TRUE.
  289. FATAL = .FALSE.
  290. GO TO ( 140, 150, 160, 160, 170, 180 )ISNUM
  291. * Test DGEMM, 01.
  292. 140 IF (CORDER) THEN
  293. CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  294. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  295. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  296. $ CC, CS, CT, G, 0 )
  297. END IF
  298. IF (RORDER) THEN
  299. CALL DCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  300. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  301. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  302. $ CC, CS, CT, G, 1 )
  303. END IF
  304. GO TO 190
  305. * Test DSYMM, 02.
  306. 150 IF (CORDER) THEN
  307. CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  308. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  309. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  310. $ CC, CS, CT, G, 0 )
  311. END IF
  312. IF (RORDER) THEN
  313. CALL DCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  314. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  315. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  316. $ CC, CS, CT, G, 1 )
  317. END IF
  318. GO TO 190
  319. * Test DTRMM, 03, DTRSM, 04.
  320. 160 IF (CORDER) THEN
  321. CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  322. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
  323. $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C,
  324. $ 0 )
  325. END IF
  326. IF (RORDER) THEN
  327. CALL DCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  328. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
  329. $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C,
  330. $ 1 )
  331. END IF
  332. GO TO 190
  333. * Test DSYRK, 05.
  334. 170 IF (CORDER) THEN
  335. CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  336. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  337. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  338. $ CC, CS, CT, G, 0 )
  339. END IF
  340. IF (RORDER) THEN
  341. CALL DCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  342. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  343. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  344. $ CC, CS, CT, G, 1 )
  345. END IF
  346. GO TO 190
  347. * Test DSYR2K, 06.
  348. 180 IF (CORDER) THEN
  349. CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  350. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  351. $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  352. $ 0 )
  353. END IF
  354. IF (RORDER) THEN
  355. CALL DCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  356. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  357. $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  358. $ 1 )
  359. END IF
  360. GO TO 190
  361. *
  362. 190 IF( FATAL.AND.SFATAL )
  363. $ GO TO 210
  364. END IF
  365. 200 CONTINUE
  366. WRITE( NOUT, FMT = 9986 )
  367. GO TO 230
  368. *
  369. 210 CONTINUE
  370. WRITE( NOUT, FMT = 9985 )
  371. GO TO 230
  372. *
  373. 220 CONTINUE
  374. WRITE( NOUT, FMT = 9991 )
  375. *
  376. 230 CONTINUE
  377. IF( TRACE )
  378. $ CLOSE ( NTRA )
  379. CLOSE ( NOUT )
  380. STOP
  381. *
  382. 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
  383. 10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
  384. 10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
  385. 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
  386. $ 'S THAN', F8.2 )
  387. 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, D9.1 )
  388. 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
  389. $ 'THAN ', I2 )
  390. 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
  391. 9995 FORMAT( ' TESTS OF THE DOUBLE PRECISION LEVEL 3 BLAS', //' THE F',
  392. $ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
  393. 9994 FORMAT( ' FOR N ', 9I6 )
  394. 9993 FORMAT( ' FOR ALPHA ', 7F6.1 )
  395. 9992 FORMAT( ' FOR BETA ', 7F6.1 )
  396. 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
  397. $ /' ******* TESTS ABANDONED *******' )
  398. 9990 FORMAT( ' SUBPROGRAM NAME ', A12,' NOT RECOGNIZED', /' ******* T',
  399. $ 'ESTS ABANDONED *******' )
  400. 9989 FORMAT( ' ERROR IN DMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
  401. $ 'ATED WRONGLY.', /' DMMCH WAS CALLED WITH TRANSA = ', A1,
  402. $ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ',
  403. $ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ',
  404. $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ',
  405. $ '*******' )
  406. 9988 FORMAT( A12,L2 )
  407. 9987 FORMAT( 1X, A12,' WAS NOT TESTED' )
  408. 9986 FORMAT( /' END OF TESTS' )
  409. 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
  410. 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
  411. *
  412. * End of DBLAT3.
  413. *
  414. END
  415. SUBROUTINE DCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  416. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  417. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, IORDER)
  418. *
  419. * Tests DGEMM.
  420. *
  421. * Auxiliary routine for test program for Level 3 Blas.
  422. *
  423. * -- Written on 8-February-1989.
  424. * Jack Dongarra, Argonne National Laboratory.
  425. * Iain Duff, AERE Harwell.
  426. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  427. * Sven Hammarling, Numerical Algorithms Group Ltd.
  428. *
  429. * .. Parameters ..
  430. DOUBLE PRECISION ZERO
  431. PARAMETER ( ZERO = 0.0D0 )
  432. * .. Scalar Arguments ..
  433. DOUBLE PRECISION EPS, THRESH
  434. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  435. LOGICAL FATAL, REWI, TRACE
  436. CHARACTER*12 SNAME
  437. * .. Array Arguments ..
  438. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  439. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  440. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  441. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  442. $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )
  443. INTEGER IDIM( NIDIM )
  444. * .. Local Scalars ..
  445. DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX
  446. INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA,
  447. $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M,
  448. $ MA, MB, MS, N, NA, NARGS, NB, NC, NS
  449. LOGICAL NULL, RESET, SAME, TRANA, TRANB
  450. CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB
  451. CHARACTER*3 ICH
  452. * .. Local Arrays ..
  453. LOGICAL ISAME( 13 )
  454. * .. External Functions ..
  455. LOGICAL LDE, LDERES
  456. EXTERNAL LDE, LDERES
  457. * .. External Subroutines ..
  458. EXTERNAL CDGEMM, DMAKE, DMMCH
  459. * .. Intrinsic Functions ..
  460. INTRINSIC MAX
  461. * .. Scalars in Common ..
  462. INTEGER INFOT, NOUTC
  463. LOGICAL OK
  464. * .. Common blocks ..
  465. COMMON /INFOC/INFOT, NOUTC, OK
  466. * .. Data statements ..
  467. DATA ICH/'NTC'/
  468. * .. Executable Statements ..
  469. *
  470. NARGS = 13
  471. NC = 0
  472. RESET = .TRUE.
  473. ERRMAX = ZERO
  474. *
  475. DO 110 IM = 1, NIDIM
  476. M = IDIM( IM )
  477. *
  478. DO 100 IN = 1, NIDIM
  479. N = IDIM( IN )
  480. * Set LDC to 1 more than minimum value if room.
  481. LDC = M
  482. IF( LDC.LT.NMAX )
  483. $ LDC = LDC + 1
  484. * Skip tests if not enough room.
  485. IF( LDC.GT.NMAX )
  486. $ GO TO 100
  487. LCC = LDC*N
  488. NULL = N.LE.0.OR.M.LE.0
  489. *
  490. DO 90 IK = 1, NIDIM
  491. K = IDIM( IK )
  492. *
  493. DO 80 ICA = 1, 3
  494. TRANSA = ICH( ICA: ICA )
  495. TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
  496. *
  497. IF( TRANA )THEN
  498. MA = K
  499. NA = M
  500. ELSE
  501. MA = M
  502. NA = K
  503. END IF
  504. * Set LDA to 1 more than minimum value if room.
  505. LDA = MA
  506. IF( LDA.LT.NMAX )
  507. $ LDA = LDA + 1
  508. * Skip tests if not enough room.
  509. IF( LDA.GT.NMAX )
  510. $ GO TO 80
  511. LAA = LDA*NA
  512. *
  513. * Generate the matrix A.
  514. *
  515. CALL DMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
  516. $ RESET, ZERO )
  517. *
  518. DO 70 ICB = 1, 3
  519. TRANSB = ICH( ICB: ICB )
  520. TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
  521. *
  522. IF( TRANB )THEN
  523. MB = N
  524. NB = K
  525. ELSE
  526. MB = K
  527. NB = N
  528. END IF
  529. * Set LDB to 1 more than minimum value if room.
  530. LDB = MB
  531. IF( LDB.LT.NMAX )
  532. $ LDB = LDB + 1
  533. * Skip tests if not enough room.
  534. IF( LDB.GT.NMAX )
  535. $ GO TO 70
  536. LBB = LDB*NB
  537. *
  538. * Generate the matrix B.
  539. *
  540. CALL DMAKE( 'GE', ' ', ' ', MB, NB, B, NMAX, BB,
  541. $ LDB, RESET, ZERO )
  542. *
  543. DO 60 IA = 1, NALF
  544. ALPHA = ALF( IA )
  545. *
  546. DO 50 IB = 1, NBET
  547. BETA = BET( IB )
  548. *
  549. * Generate the matrix C.
  550. *
  551. CALL DMAKE( 'GE', ' ', ' ', M, N, C, NMAX,
  552. $ CC, LDC, RESET, ZERO )
  553. *
  554. NC = NC + 1
  555. *
  556. * Save every datum before calling the
  557. * subroutine.
  558. *
  559. TRANAS = TRANSA
  560. TRANBS = TRANSB
  561. MS = M
  562. NS = N
  563. KS = K
  564. ALS = ALPHA
  565. DO 10 I = 1, LAA
  566. AS( I ) = AA( I )
  567. 10 CONTINUE
  568. LDAS = LDA
  569. DO 20 I = 1, LBB
  570. BS( I ) = BB( I )
  571. 20 CONTINUE
  572. LDBS = LDB
  573. BLS = BETA
  574. DO 30 I = 1, LCC
  575. CS( I ) = CC( I )
  576. 30 CONTINUE
  577. LDCS = LDC
  578. *
  579. * Call the subroutine.
  580. *
  581. IF( TRACE )
  582. $ CALL DPRCN1(NTRA, NC, SNAME, IORDER,
  583. $ TRANSA, TRANSB, M, N, K, ALPHA, LDA,
  584. $ LDB, BETA, LDC)
  585. IF( REWI )
  586. $ REWIND NTRA
  587. CALL CDGEMM( IORDER, TRANSA, TRANSB, M, N,
  588. $ K, ALPHA, AA, LDA, BB, LDB,
  589. $ BETA, CC, LDC )
  590. *
  591. * Check if error-exit was taken incorrectly.
  592. *
  593. IF( .NOT.OK )THEN
  594. WRITE( NOUT, FMT = 9994 )
  595. FATAL = .TRUE.
  596. GO TO 120
  597. END IF
  598. *
  599. * See what data changed inside subroutines.
  600. *
  601. ISAME( 1 ) = TRANSA.EQ.TRANAS
  602. ISAME( 2 ) = TRANSB.EQ.TRANBS
  603. ISAME( 3 ) = MS.EQ.M
  604. ISAME( 4 ) = NS.EQ.N
  605. ISAME( 5 ) = KS.EQ.K
  606. ISAME( 6 ) = ALS.EQ.ALPHA
  607. ISAME( 7 ) = LDE( AS, AA, LAA )
  608. ISAME( 8 ) = LDAS.EQ.LDA
  609. ISAME( 9 ) = LDE( BS, BB, LBB )
  610. ISAME( 10 ) = LDBS.EQ.LDB
  611. ISAME( 11 ) = BLS.EQ.BETA
  612. IF( NULL )THEN
  613. ISAME( 12 ) = LDE( CS, CC, LCC )
  614. ELSE
  615. ISAME( 12 ) = LDERES( 'GE', ' ', M, N, CS,
  616. $ CC, LDC )
  617. END IF
  618. ISAME( 13 ) = LDCS.EQ.LDC
  619. *
  620. * If data was incorrectly changed, report
  621. * and return.
  622. *
  623. SAME = .TRUE.
  624. DO 40 I = 1, NARGS
  625. SAME = SAME.AND.ISAME( I )
  626. IF( .NOT.ISAME( I ) )
  627. $ WRITE( NOUT, FMT = 9998 )I
  628. 40 CONTINUE
  629. IF( .NOT.SAME )THEN
  630. FATAL = .TRUE.
  631. GO TO 120
  632. END IF
  633. *
  634. IF( .NOT.NULL )THEN
  635. *
  636. * Check the result.
  637. *
  638. CALL DMMCH( TRANSA, TRANSB, M, N, K,
  639. $ ALPHA, A, NMAX, B, NMAX, BETA,
  640. $ C, NMAX, CT, G, CC, LDC, EPS,
  641. $ ERR, FATAL, NOUT, .TRUE. )
  642. ERRMAX = MAX( ERRMAX, ERR )
  643. * If got really bad answer, report and
  644. * return.
  645. IF( FATAL )
  646. $ GO TO 120
  647. END IF
  648. *
  649. 50 CONTINUE
  650. *
  651. 60 CONTINUE
  652. *
  653. 70 CONTINUE
  654. *
  655. 80 CONTINUE
  656. *
  657. 90 CONTINUE
  658. *
  659. 100 CONTINUE
  660. *
  661. 110 CONTINUE
  662. *
  663. * Report result.
  664. *
  665. IF( ERRMAX.LT.THRESH )THEN
  666. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  667. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  668. ELSE
  669. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  670. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  671. END IF
  672. GO TO 130
  673. *
  674. 120 CONTINUE
  675. WRITE( NOUT, FMT = 9996 )SNAME
  676. CALL DPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB,
  677. $ M, N, K, ALPHA, LDA, LDB, BETA, LDC)
  678. *
  679. 130 CONTINUE
  680. RETURN
  681. *
  682. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  683. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  684. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  685. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  686. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  687. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  688. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  689. $ ' (', I6, ' CALL', 'S)' )
  690. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  691. $ ' (', I6, ' CALL', 'S)' )
  692. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  693. $ 'ANGED INCORRECTLY *******' )
  694. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  695. C 9995 FORMAT( 1X, I6, ': ', A12,'(''', A1, ''',''', A1, ''',',
  696. C $ 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', ',
  697. C $ 'C,', I3, ').' )
  698. 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  699. $ '******' )
  700. *
  701. * End of DCHK1.
  702. *
  703. END
  704. SUBROUTINE DPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N,
  705. $ K, ALPHA, LDA, LDB, BETA, LDC)
  706. INTEGER NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC
  707. DOUBLE PRECISION ALPHA, BETA
  708. CHARACTER*1 TRANSA, TRANSB
  709. CHARACTER*12 SNAME
  710. CHARACTER*14 CRC, CTA,CTB
  711. IF (TRANSA.EQ.'N')THEN
  712. CTA = ' CblasNoTrans'
  713. ELSE IF (TRANSA.EQ.'T')THEN
  714. CTA = ' CblasTrans'
  715. ELSE
  716. CTA = 'CblasConjTrans'
  717. END IF
  718. IF (TRANSB.EQ.'N')THEN
  719. CTB = ' CblasNoTrans'
  720. ELSE IF (TRANSB.EQ.'T')THEN
  721. CTB = ' CblasTrans'
  722. ELSE
  723. CTB = 'CblasConjTrans'
  724. END IF
  725. IF (IORDER.EQ.1)THEN
  726. CRC = ' CblasRowMajor'
  727. ELSE
  728. CRC = ' CblasColMajor'
  729. END IF
  730. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB
  731. WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC
  732. 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
  733. 9994 FORMAT( 20X, 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',',
  734. $ F4.1, ', ', 'C,', I3, ').' )
  735. END
  736. *
  737. SUBROUTINE DCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  738. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  739. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, IORDER)
  740. *
  741. * Tests DSYMM.
  742. *
  743. * Auxiliary routine for test program for Level 3 Blas.
  744. *
  745. * -- Written on 8-February-1989.
  746. * Jack Dongarra, Argonne National Laboratory.
  747. * Iain Duff, AERE Harwell.
  748. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  749. * Sven Hammarling, Numerical Algorithms Group Ltd.
  750. *
  751. * .. Parameters ..
  752. DOUBLE PRECISION ZERO
  753. PARAMETER ( ZERO = 0.0D0 )
  754. * .. Scalar Arguments ..
  755. DOUBLE PRECISION EPS, THRESH
  756. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  757. LOGICAL FATAL, REWI, TRACE
  758. CHARACTER*12 SNAME
  759. * .. Array Arguments ..
  760. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  761. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  762. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  763. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  764. $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )
  765. INTEGER IDIM( NIDIM )
  766. * .. Local Scalars ..
  767. DOUBLE PRECISION ALPHA, ALS, BETA, BLS, ERR, ERRMAX
  768. INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC,
  769. $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA,
  770. $ NARGS, NC, NS
  771. LOGICAL LEFT, NULL, RESET, SAME
  772. CHARACTER*1 SIDE, SIDES, UPLO, UPLOS
  773. CHARACTER*2 ICHS, ICHU
  774. * .. Local Arrays ..
  775. LOGICAL ISAME( 13 )
  776. * .. External Functions ..
  777. LOGICAL LDE, LDERES
  778. EXTERNAL LDE, LDERES
  779. * .. External Subroutines ..
  780. EXTERNAL DMAKE, DMMCH, CDSYMM
  781. * .. Intrinsic Functions ..
  782. INTRINSIC MAX
  783. * .. Scalars in Common ..
  784. INTEGER INFOT, NOUTC
  785. LOGICAL OK
  786. * .. Common blocks ..
  787. COMMON /INFOC/INFOT, NOUTC, OK
  788. * .. Data statements ..
  789. DATA ICHS/'LR'/, ICHU/'UL'/
  790. * .. Executable Statements ..
  791. *
  792. NARGS = 12
  793. NC = 0
  794. RESET = .TRUE.
  795. ERRMAX = ZERO
  796. *
  797. DO 100 IM = 1, NIDIM
  798. M = IDIM( IM )
  799. *
  800. DO 90 IN = 1, NIDIM
  801. N = IDIM( IN )
  802. * Set LDC to 1 more than minimum value if room.
  803. LDC = M
  804. IF( LDC.LT.NMAX )
  805. $ LDC = LDC + 1
  806. * Skip tests if not enough room.
  807. IF( LDC.GT.NMAX )
  808. $ GO TO 90
  809. LCC = LDC*N
  810. NULL = N.LE.0.OR.M.LE.0
  811. *
  812. * Set LDB to 1 more than minimum value if room.
  813. LDB = M
  814. IF( LDB.LT.NMAX )
  815. $ LDB = LDB + 1
  816. * Skip tests if not enough room.
  817. IF( LDB.GT.NMAX )
  818. $ GO TO 90
  819. LBB = LDB*N
  820. *
  821. * Generate the matrix B.
  822. *
  823. CALL DMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET,
  824. $ ZERO )
  825. *
  826. DO 80 ICS = 1, 2
  827. SIDE = ICHS( ICS: ICS )
  828. LEFT = SIDE.EQ.'L'
  829. *
  830. IF( LEFT )THEN
  831. NA = M
  832. ELSE
  833. NA = N
  834. END IF
  835. * Set LDA to 1 more than minimum value if room.
  836. LDA = NA
  837. IF( LDA.LT.NMAX )
  838. $ LDA = LDA + 1
  839. * Skip tests if not enough room.
  840. IF( LDA.GT.NMAX )
  841. $ GO TO 80
  842. LAA = LDA*NA
  843. *
  844. DO 70 ICU = 1, 2
  845. UPLO = ICHU( ICU: ICU )
  846. *
  847. * Generate the symmetric matrix A.
  848. *
  849. CALL DMAKE( 'SY', UPLO, ' ', NA, NA, A, NMAX, AA, LDA,
  850. $ RESET, ZERO )
  851. *
  852. DO 60 IA = 1, NALF
  853. ALPHA = ALF( IA )
  854. *
  855. DO 50 IB = 1, NBET
  856. BETA = BET( IB )
  857. *
  858. * Generate the matrix C.
  859. *
  860. CALL DMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC,
  861. $ LDC, RESET, ZERO )
  862. *
  863. NC = NC + 1
  864. *
  865. * Save every datum before calling the
  866. * subroutine.
  867. *
  868. SIDES = SIDE
  869. UPLOS = UPLO
  870. MS = M
  871. NS = N
  872. ALS = ALPHA
  873. DO 10 I = 1, LAA
  874. AS( I ) = AA( I )
  875. 10 CONTINUE
  876. LDAS = LDA
  877. DO 20 I = 1, LBB
  878. BS( I ) = BB( I )
  879. 20 CONTINUE
  880. LDBS = LDB
  881. BLS = BETA
  882. DO 30 I = 1, LCC
  883. CS( I ) = CC( I )
  884. 30 CONTINUE
  885. LDCS = LDC
  886. *
  887. * Call the subroutine.
  888. *
  889. IF( TRACE )
  890. $ CALL DPRCN2(NTRA, NC, SNAME, IORDER,
  891. $ SIDE, UPLO, M, N, ALPHA, LDA, LDB,
  892. $ BETA, LDC)
  893. IF( REWI )
  894. $ REWIND NTRA
  895. CALL CDSYMM( IORDER, SIDE, UPLO, M, N, ALPHA,
  896. $ AA, LDA, BB, LDB, BETA, CC, LDC )
  897. *
  898. * Check if error-exit was taken incorrectly.
  899. *
  900. IF( .NOT.OK )THEN
  901. WRITE( NOUT, FMT = 9994 )
  902. FATAL = .TRUE.
  903. GO TO 110
  904. END IF
  905. *
  906. * See what data changed inside subroutines.
  907. *
  908. ISAME( 1 ) = SIDES.EQ.SIDE
  909. ISAME( 2 ) = UPLOS.EQ.UPLO
  910. ISAME( 3 ) = MS.EQ.M
  911. ISAME( 4 ) = NS.EQ.N
  912. ISAME( 5 ) = ALS.EQ.ALPHA
  913. ISAME( 6 ) = LDE( AS, AA, LAA )
  914. ISAME( 7 ) = LDAS.EQ.LDA
  915. ISAME( 8 ) = LDE( BS, BB, LBB )
  916. ISAME( 9 ) = LDBS.EQ.LDB
  917. ISAME( 10 ) = BLS.EQ.BETA
  918. IF( NULL )THEN
  919. ISAME( 11 ) = LDE( CS, CC, LCC )
  920. ELSE
  921. ISAME( 11 ) = LDERES( 'GE', ' ', M, N, CS,
  922. $ CC, LDC )
  923. END IF
  924. ISAME( 12 ) = LDCS.EQ.LDC
  925. *
  926. * If data was incorrectly changed, report and
  927. * return.
  928. *
  929. SAME = .TRUE.
  930. DO 40 I = 1, NARGS
  931. SAME = SAME.AND.ISAME( I )
  932. IF( .NOT.ISAME( I ) )
  933. $ WRITE( NOUT, FMT = 9998 )I
  934. 40 CONTINUE
  935. IF( .NOT.SAME )THEN
  936. FATAL = .TRUE.
  937. GO TO 110
  938. END IF
  939. *
  940. IF( .NOT.NULL )THEN
  941. *
  942. * Check the result.
  943. *
  944. IF( LEFT )THEN
  945. CALL DMMCH( 'N', 'N', M, N, M, ALPHA, A,
  946. $ NMAX, B, NMAX, BETA, C, NMAX,
  947. $ CT, G, CC, LDC, EPS, ERR,
  948. $ FATAL, NOUT, .TRUE. )
  949. ELSE
  950. CALL DMMCH( 'N', 'N', M, N, N, ALPHA, B,
  951. $ NMAX, A, NMAX, BETA, C, NMAX,
  952. $ CT, G, CC, LDC, EPS, ERR,
  953. $ FATAL, NOUT, .TRUE. )
  954. END IF
  955. ERRMAX = MAX( ERRMAX, ERR )
  956. * If got really bad answer, report and
  957. * return.
  958. IF( FATAL )
  959. $ GO TO 110
  960. END IF
  961. *
  962. 50 CONTINUE
  963. *
  964. 60 CONTINUE
  965. *
  966. 70 CONTINUE
  967. *
  968. 80 CONTINUE
  969. *
  970. 90 CONTINUE
  971. *
  972. 100 CONTINUE
  973. *
  974. * Report result.
  975. *
  976. IF( ERRMAX.LT.THRESH )THEN
  977. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  978. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  979. ELSE
  980. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  981. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  982. END IF
  983. GO TO 120
  984. *
  985. 110 CONTINUE
  986. WRITE( NOUT, FMT = 9996 )SNAME
  987. CALL DPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA,
  988. $ LDB, BETA, LDC)
  989. *
  990. 120 CONTINUE
  991. RETURN
  992. *
  993. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  994. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  995. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  996. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  997. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  998. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  999. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1000. $ ' (', I6, ' CALL', 'S)' )
  1001. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1002. $ ' (', I6, ' CALL', 'S)' )
  1003. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1004. $ 'ANGED INCORRECTLY *******' )
  1005. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  1006. C 9995 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1007. C $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ',
  1008. C $ ' .' )
  1009. 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1010. $ '******' )
  1011. *
  1012. * End of DCHK2.
  1013. *
  1014. END
  1015. *
  1016. SUBROUTINE DPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N,
  1017. $ ALPHA, LDA, LDB, BETA, LDC)
  1018. INTEGER NOUT, NC, IORDER, M, N, LDA, LDB, LDC
  1019. DOUBLE PRECISION ALPHA, BETA
  1020. CHARACTER*1 SIDE, UPLO
  1021. CHARACTER*12 SNAME
  1022. CHARACTER*14 CRC, CS,CU
  1023. IF (SIDE.EQ.'L')THEN
  1024. CS = ' CblasLeft'
  1025. ELSE
  1026. CS = ' CblasRight'
  1027. END IF
  1028. IF (UPLO.EQ.'U')THEN
  1029. CU = ' CblasUpper'
  1030. ELSE
  1031. CU = ' CblasLower'
  1032. END IF
  1033. IF (IORDER.EQ.1)THEN
  1034. CRC = ' CblasRowMajor'
  1035. ELSE
  1036. CRC = ' CblasColMajor'
  1037. END IF
  1038. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
  1039. WRITE(NOUT, FMT = 9994)M, N, ALPHA, LDA, LDB, BETA, LDC
  1040. 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
  1041. 9994 FORMAT( 20X, 2( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',',
  1042. $ F4.1, ', ', 'C,', I3, ').' )
  1043. END
  1044. *
  1045. SUBROUTINE DCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1046. $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS,
  1047. $ B, BB, BS, CT, G, C, IORDER )
  1048. *
  1049. * Tests DTRMM and DTRSM.
  1050. *
  1051. * Auxiliary routine for test program for Level 3 Blas.
  1052. *
  1053. * -- Written on 8-February-1989.
  1054. * Jack Dongarra, Argonne National Laboratory.
  1055. * Iain Duff, AERE Harwell.
  1056. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1057. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1058. *
  1059. * .. Parameters ..
  1060. DOUBLE PRECISION ZERO, ONE
  1061. PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
  1062. * .. Scalar Arguments ..
  1063. DOUBLE PRECISION EPS, THRESH
  1064. INTEGER NALF, NIDIM, NMAX, NOUT, NTRA, IORDER
  1065. LOGICAL FATAL, REWI, TRACE
  1066. CHARACTER*12 SNAME
  1067. * .. Array Arguments ..
  1068. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1069. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  1070. $ BB( NMAX*NMAX ), BS( NMAX*NMAX ),
  1071. $ C( NMAX, NMAX ), CT( NMAX ), G( NMAX )
  1072. INTEGER IDIM( NIDIM )
  1073. * .. Local Scalars ..
  1074. DOUBLE PRECISION ALPHA, ALS, ERR, ERRMAX
  1075. INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB,
  1076. $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC,
  1077. $ NS
  1078. LOGICAL LEFT, NULL, RESET, SAME
  1079. CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO,
  1080. $ UPLOS
  1081. CHARACTER*2 ICHD, ICHS, ICHU
  1082. CHARACTER*3 ICHT
  1083. * .. Local Arrays ..
  1084. LOGICAL ISAME( 13 )
  1085. * .. External Functions ..
  1086. LOGICAL LDE, LDERES
  1087. EXTERNAL LDE, LDERES
  1088. * .. External Subroutines ..
  1089. EXTERNAL DMAKE, DMMCH, CDTRMM, CDTRSM
  1090. * .. Intrinsic Functions ..
  1091. INTRINSIC MAX
  1092. * .. Scalars in Common ..
  1093. INTEGER INFOT, NOUTC
  1094. LOGICAL OK
  1095. * .. Common blocks ..
  1096. COMMON /INFOC/INFOT, NOUTC, OK
  1097. * .. Data statements ..
  1098. DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/
  1099. * .. Executable Statements ..
  1100. *
  1101. NARGS = 11
  1102. NC = 0
  1103. RESET = .TRUE.
  1104. ERRMAX = ZERO
  1105. * Set up zero matrix for DMMCH.
  1106. DO 20 J = 1, NMAX
  1107. DO 10 I = 1, NMAX
  1108. C( I, J ) = ZERO
  1109. 10 CONTINUE
  1110. 20 CONTINUE
  1111. *
  1112. DO 140 IM = 1, NIDIM
  1113. M = IDIM( IM )
  1114. *
  1115. DO 130 IN = 1, NIDIM
  1116. N = IDIM( IN )
  1117. * Set LDB to 1 more than minimum value if room.
  1118. LDB = M
  1119. IF( LDB.LT.NMAX )
  1120. $ LDB = LDB + 1
  1121. * Skip tests if not enough room.
  1122. IF( LDB.GT.NMAX )
  1123. $ GO TO 130
  1124. LBB = LDB*N
  1125. NULL = M.LE.0.OR.N.LE.0
  1126. *
  1127. DO 120 ICS = 1, 2
  1128. SIDE = ICHS( ICS: ICS )
  1129. LEFT = SIDE.EQ.'L'
  1130. IF( LEFT )THEN
  1131. NA = M
  1132. ELSE
  1133. NA = N
  1134. END IF
  1135. * Set LDA to 1 more than minimum value if room.
  1136. LDA = NA
  1137. IF( LDA.LT.NMAX )
  1138. $ LDA = LDA + 1
  1139. * Skip tests if not enough room.
  1140. IF( LDA.GT.NMAX )
  1141. $ GO TO 130
  1142. LAA = LDA*NA
  1143. *
  1144. DO 110 ICU = 1, 2
  1145. UPLO = ICHU( ICU: ICU )
  1146. *
  1147. DO 100 ICT = 1, 3
  1148. TRANSA = ICHT( ICT: ICT )
  1149. *
  1150. DO 90 ICD = 1, 2
  1151. DIAG = ICHD( ICD: ICD )
  1152. *
  1153. DO 80 IA = 1, NALF
  1154. ALPHA = ALF( IA )
  1155. *
  1156. * Generate the matrix A.
  1157. *
  1158. CALL DMAKE( 'TR', UPLO, DIAG, NA, NA, A,
  1159. $ NMAX, AA, LDA, RESET, ZERO )
  1160. *
  1161. * Generate the matrix B.
  1162. *
  1163. CALL DMAKE( 'GE', ' ', ' ', M, N, B, NMAX,
  1164. $ BB, LDB, RESET, ZERO )
  1165. *
  1166. NC = NC + 1
  1167. *
  1168. * Save every datum before calling the
  1169. * subroutine.
  1170. *
  1171. SIDES = SIDE
  1172. UPLOS = UPLO
  1173. TRANAS = TRANSA
  1174. DIAGS = DIAG
  1175. MS = M
  1176. NS = N
  1177. ALS = ALPHA
  1178. DO 30 I = 1, LAA
  1179. AS( I ) = AA( I )
  1180. 30 CONTINUE
  1181. LDAS = LDA
  1182. DO 40 I = 1, LBB
  1183. BS( I ) = BB( I )
  1184. 40 CONTINUE
  1185. LDBS = LDB
  1186. *
  1187. * Call the subroutine.
  1188. *
  1189. IF( SNAME( 10: 11 ).EQ.'mm' )THEN
  1190. IF( TRACE )
  1191. $ CALL DPRCN3( NTRA, NC, SNAME, IORDER,
  1192. $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
  1193. $ LDA, LDB)
  1194. IF( REWI )
  1195. $ REWIND NTRA
  1196. CALL CDTRMM( IORDER, SIDE, UPLO, TRANSA,
  1197. $ DIAG, M, N, ALPHA, AA, LDA,
  1198. $ BB, LDB )
  1199. ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
  1200. IF( TRACE )
  1201. $ CALL DPRCN3( NTRA, NC, SNAME, IORDER,
  1202. $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
  1203. $ LDA, LDB)
  1204. IF( REWI )
  1205. $ REWIND NTRA
  1206. CALL CDTRSM( IORDER, SIDE, UPLO, TRANSA,
  1207. $ DIAG, M, N, ALPHA, AA, LDA,
  1208. $ BB, LDB )
  1209. END IF
  1210. *
  1211. * Check if error-exit was taken incorrectly.
  1212. *
  1213. IF( .NOT.OK )THEN
  1214. WRITE( NOUT, FMT = 9994 )
  1215. FATAL = .TRUE.
  1216. GO TO 150
  1217. END IF
  1218. *
  1219. * See what data changed inside subroutines.
  1220. *
  1221. ISAME( 1 ) = SIDES.EQ.SIDE
  1222. ISAME( 2 ) = UPLOS.EQ.UPLO
  1223. ISAME( 3 ) = TRANAS.EQ.TRANSA
  1224. ISAME( 4 ) = DIAGS.EQ.DIAG
  1225. ISAME( 5 ) = MS.EQ.M
  1226. ISAME( 6 ) = NS.EQ.N
  1227. ISAME( 7 ) = ALS.EQ.ALPHA
  1228. ISAME( 8 ) = LDE( AS, AA, LAA )
  1229. ISAME( 9 ) = LDAS.EQ.LDA
  1230. IF( NULL )THEN
  1231. ISAME( 10 ) = LDE( BS, BB, LBB )
  1232. ELSE
  1233. ISAME( 10 ) = LDERES( 'GE', ' ', M, N, BS,
  1234. $ BB, LDB )
  1235. END IF
  1236. ISAME( 11 ) = LDBS.EQ.LDB
  1237. *
  1238. * If data was incorrectly changed, report and
  1239. * return.
  1240. *
  1241. SAME = .TRUE.
  1242. DO 50 I = 1, NARGS
  1243. SAME = SAME.AND.ISAME( I )
  1244. IF( .NOT.ISAME( I ) )
  1245. $ WRITE( NOUT, FMT = 9998 )I
  1246. 50 CONTINUE
  1247. IF( .NOT.SAME )THEN
  1248. FATAL = .TRUE.
  1249. GO TO 150
  1250. END IF
  1251. *
  1252. IF( .NOT.NULL )THEN
  1253. IF( SNAME( 10: 11 ).EQ.'mm' )THEN
  1254. *
  1255. * Check the result.
  1256. *
  1257. IF( LEFT )THEN
  1258. CALL DMMCH( TRANSA, 'N', M, N, M,
  1259. $ ALPHA, A, NMAX, B, NMAX,
  1260. $ ZERO, C, NMAX, CT, G,
  1261. $ BB, LDB, EPS, ERR,
  1262. $ FATAL, NOUT, .TRUE. )
  1263. ELSE
  1264. CALL DMMCH( 'N', TRANSA, M, N, N,
  1265. $ ALPHA, B, NMAX, A, NMAX,
  1266. $ ZERO, C, NMAX, CT, G,
  1267. $ BB, LDB, EPS, ERR,
  1268. $ FATAL, NOUT, .TRUE. )
  1269. END IF
  1270. ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
  1271. *
  1272. * Compute approximation to original
  1273. * matrix.
  1274. *
  1275. DO 70 J = 1, N
  1276. DO 60 I = 1, M
  1277. C( I, J ) = BB( I + ( J - 1 )*
  1278. $ LDB )
  1279. BB( I + ( J - 1 )*LDB ) = ALPHA*
  1280. $ B( I, J )
  1281. 60 CONTINUE
  1282. 70 CONTINUE
  1283. *
  1284. IF( LEFT )THEN
  1285. CALL DMMCH( TRANSA, 'N', M, N, M,
  1286. $ ONE, A, NMAX, C, NMAX,
  1287. $ ZERO, B, NMAX, CT, G,
  1288. $ BB, LDB, EPS, ERR,
  1289. $ FATAL, NOUT, .FALSE. )
  1290. ELSE
  1291. CALL DMMCH( 'N', TRANSA, M, N, N,
  1292. $ ONE, C, NMAX, A, NMAX,
  1293. $ ZERO, B, NMAX, CT, G,
  1294. $ BB, LDB, EPS, ERR,
  1295. $ FATAL, NOUT, .FALSE. )
  1296. END IF
  1297. END IF
  1298. ERRMAX = MAX( ERRMAX, ERR )
  1299. * If got really bad answer, report and
  1300. * return.
  1301. IF( FATAL )
  1302. $ GO TO 150
  1303. END IF
  1304. *
  1305. 80 CONTINUE
  1306. *
  1307. 90 CONTINUE
  1308. *
  1309. 100 CONTINUE
  1310. *
  1311. 110 CONTINUE
  1312. *
  1313. 120 CONTINUE
  1314. *
  1315. 130 CONTINUE
  1316. *
  1317. 140 CONTINUE
  1318. *
  1319. * Report result.
  1320. *
  1321. IF( ERRMAX.LT.THRESH )THEN
  1322. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1323. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1324. ELSE
  1325. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1326. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1327. END IF
  1328. GO TO 160
  1329. *
  1330. 150 CONTINUE
  1331. WRITE( NOUT, FMT = 9996 )SNAME
  1332. IF( TRACE )
  1333. $ CALL DPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG,
  1334. $ M, N, ALPHA, LDA, LDB)
  1335. *
  1336. 160 CONTINUE
  1337. RETURN
  1338. *
  1339. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1340. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1341. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1342. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1343. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1344. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1345. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1346. $ ' (', I6, ' CALL', 'S)' )
  1347. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1348. $ ' (', I6, ' CALL', 'S)' )
  1349. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1350. $ 'ANGED INCORRECTLY *******' )
  1351. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  1352. C 9995 FORMAT( 1X, I6, ': ', A12,'(', 4( '''', A1, ''',' ), 2( I3, ',' ),
  1353. C $ F4.1, ', A,', I3, ', B,', I3, ') .' )
  1354. 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1355. $ '******' )
  1356. *
  1357. * End of DCHK3.
  1358. *
  1359. END
  1360. *
  1361. SUBROUTINE DPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA,
  1362. $ DIAG, M, N, ALPHA, LDA, LDB)
  1363. INTEGER NOUT, NC, IORDER, M, N, LDA, LDB
  1364. DOUBLE PRECISION ALPHA
  1365. CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
  1366. CHARACTER*12 SNAME
  1367. CHARACTER*14 CRC, CS, CU, CA, CD
  1368. IF (SIDE.EQ.'L')THEN
  1369. CS = ' CblasLeft'
  1370. ELSE
  1371. CS = ' CblasRight'
  1372. END IF
  1373. IF (UPLO.EQ.'U')THEN
  1374. CU = ' CblasUpper'
  1375. ELSE
  1376. CU = ' CblasLower'
  1377. END IF
  1378. IF (TRANSA.EQ.'N')THEN
  1379. CA = ' CblasNoTrans'
  1380. ELSE IF (TRANSA.EQ.'T')THEN
  1381. CA = ' CblasTrans'
  1382. ELSE
  1383. CA = 'CblasConjTrans'
  1384. END IF
  1385. IF (DIAG.EQ.'N')THEN
  1386. CD = ' CblasNonUnit'
  1387. ELSE
  1388. CD = ' CblasUnit'
  1389. END IF
  1390. IF (IORDER.EQ.1)THEN
  1391. CRC = ' CblasRowMajor'
  1392. ELSE
  1393. CRC = ' CblasColMajor'
  1394. END IF
  1395. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
  1396. WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB
  1397. 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
  1398. 9994 FORMAT( 22X, 2( A14, ',') , 2( I3, ',' ),
  1399. $ F4.1, ', A,', I3, ', B,', I3, ').' )
  1400. END
  1401. *
  1402. SUBROUTINE DCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1403. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  1404. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, IORDER)
  1405. *
  1406. * Tests DSYRK.
  1407. *
  1408. * Auxiliary routine for test program for Level 3 Blas.
  1409. *
  1410. * -- Written on 8-February-1989.
  1411. * Jack Dongarra, Argonne National Laboratory.
  1412. * Iain Duff, AERE Harwell.
  1413. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1414. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1415. *
  1416. * .. Parameters ..
  1417. DOUBLE PRECISION ZERO
  1418. PARAMETER ( ZERO = 0.0D0 )
  1419. * .. Scalar Arguments ..
  1420. DOUBLE PRECISION EPS, THRESH
  1421. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  1422. LOGICAL FATAL, REWI, TRACE
  1423. CHARACTER*12 SNAME
  1424. * .. Array Arguments ..
  1425. DOUBLE PRECISION A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1426. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  1427. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  1428. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  1429. $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )
  1430. INTEGER IDIM( NIDIM )
  1431. * .. Local Scalars ..
  1432. DOUBLE PRECISION ALPHA, ALS, BETA, BETS, ERR, ERRMAX
  1433. INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS,
  1434. $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA,
  1435. $ NARGS, NC, NS
  1436. LOGICAL NULL, RESET, SAME, TRAN, UPPER
  1437. CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS
  1438. CHARACTER*2 ICHU
  1439. CHARACTER*3 ICHT
  1440. * .. Local Arrays ..
  1441. LOGICAL ISAME( 13 )
  1442. * .. External Functions ..
  1443. LOGICAL LDE, LDERES
  1444. EXTERNAL LDE, LDERES
  1445. * .. External Subroutines ..
  1446. EXTERNAL DMAKE, DMMCH, CDSYRK
  1447. * .. Intrinsic Functions ..
  1448. INTRINSIC MAX
  1449. * .. Scalars in Common ..
  1450. INTEGER INFOT, NOUTC
  1451. LOGICAL OK
  1452. * .. Common blocks ..
  1453. COMMON /INFOC/INFOT, NOUTC, OK
  1454. * .. Data statements ..
  1455. DATA ICHT/'NTC'/, ICHU/'UL'/
  1456. * .. Executable Statements ..
  1457. *
  1458. NARGS = 10
  1459. NC = 0
  1460. RESET = .TRUE.
  1461. ERRMAX = ZERO
  1462. *
  1463. DO 100 IN = 1, NIDIM
  1464. N = IDIM( IN )
  1465. * Set LDC to 1 more than minimum value if room.
  1466. LDC = N
  1467. IF( LDC.LT.NMAX )
  1468. $ LDC = LDC + 1
  1469. * Skip tests if not enough room.
  1470. IF( LDC.GT.NMAX )
  1471. $ GO TO 100
  1472. LCC = LDC*N
  1473. NULL = N.LE.0
  1474. *
  1475. DO 90 IK = 1, NIDIM
  1476. K = IDIM( IK )
  1477. *
  1478. DO 80 ICT = 1, 3
  1479. TRANS = ICHT( ICT: ICT )
  1480. TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
  1481. IF( TRAN )THEN
  1482. MA = K
  1483. NA = N
  1484. ELSE
  1485. MA = N
  1486. NA = K
  1487. END IF
  1488. * Set LDA to 1 more than minimum value if room.
  1489. LDA = MA
  1490. IF( LDA.LT.NMAX )
  1491. $ LDA = LDA + 1
  1492. * Skip tests if not enough room.
  1493. IF( LDA.GT.NMAX )
  1494. $ GO TO 80
  1495. LAA = LDA*NA
  1496. *
  1497. * Generate the matrix A.
  1498. *
  1499. CALL DMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
  1500. $ RESET, ZERO )
  1501. *
  1502. DO 70 ICU = 1, 2
  1503. UPLO = ICHU( ICU: ICU )
  1504. UPPER = UPLO.EQ.'U'
  1505. *
  1506. DO 60 IA = 1, NALF
  1507. ALPHA = ALF( IA )
  1508. *
  1509. DO 50 IB = 1, NBET
  1510. BETA = BET( IB )
  1511. *
  1512. * Generate the matrix C.
  1513. *
  1514. CALL DMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC,
  1515. $ LDC, RESET, ZERO )
  1516. *
  1517. NC = NC + 1
  1518. *
  1519. * Save every datum before calling the subroutine.
  1520. *
  1521. UPLOS = UPLO
  1522. TRANSS = TRANS
  1523. NS = N
  1524. KS = K
  1525. ALS = ALPHA
  1526. DO 10 I = 1, LAA
  1527. AS( I ) = AA( I )
  1528. 10 CONTINUE
  1529. LDAS = LDA
  1530. BETS = BETA
  1531. DO 20 I = 1, LCC
  1532. CS( I ) = CC( I )
  1533. 20 CONTINUE
  1534. LDCS = LDC
  1535. *
  1536. * Call the subroutine.
  1537. *
  1538. IF( TRACE )
  1539. $ CALL DPRCN4( NTRA, NC, SNAME, IORDER, UPLO,
  1540. $ TRANS, N, K, ALPHA, LDA, BETA, LDC)
  1541. IF( REWI )
  1542. $ REWIND NTRA
  1543. CALL CDSYRK( IORDER, UPLO, TRANS, N, K, ALPHA,
  1544. $ AA, LDA, BETA, CC, LDC )
  1545. *
  1546. * Check if error-exit was taken incorrectly.
  1547. *
  1548. IF( .NOT.OK )THEN
  1549. WRITE( NOUT, FMT = 9993 )
  1550. FATAL = .TRUE.
  1551. GO TO 120
  1552. END IF
  1553. *
  1554. * See what data changed inside subroutines.
  1555. *
  1556. ISAME( 1 ) = UPLOS.EQ.UPLO
  1557. ISAME( 2 ) = TRANSS.EQ.TRANS
  1558. ISAME( 3 ) = NS.EQ.N
  1559. ISAME( 4 ) = KS.EQ.K
  1560. ISAME( 5 ) = ALS.EQ.ALPHA
  1561. ISAME( 6 ) = LDE( AS, AA, LAA )
  1562. ISAME( 7 ) = LDAS.EQ.LDA
  1563. ISAME( 8 ) = BETS.EQ.BETA
  1564. IF( NULL )THEN
  1565. ISAME( 9 ) = LDE( CS, CC, LCC )
  1566. ELSE
  1567. ISAME( 9 ) = LDERES( 'SY', UPLO, N, N, CS,
  1568. $ CC, LDC )
  1569. END IF
  1570. ISAME( 10 ) = LDCS.EQ.LDC
  1571. *
  1572. * If data was incorrectly changed, report and
  1573. * return.
  1574. *
  1575. SAME = .TRUE.
  1576. DO 30 I = 1, NARGS
  1577. SAME = SAME.AND.ISAME( I )
  1578. IF( .NOT.ISAME( I ) )
  1579. $ WRITE( NOUT, FMT = 9998 )I
  1580. 30 CONTINUE
  1581. IF( .NOT.SAME )THEN
  1582. FATAL = .TRUE.
  1583. GO TO 120
  1584. END IF
  1585. *
  1586. IF( .NOT.NULL )THEN
  1587. *
  1588. * Check the result column by column.
  1589. *
  1590. JC = 1
  1591. DO 40 J = 1, N
  1592. IF( UPPER )THEN
  1593. JJ = 1
  1594. LJ = J
  1595. ELSE
  1596. JJ = J
  1597. LJ = N - J + 1
  1598. END IF
  1599. IF( TRAN )THEN
  1600. CALL DMMCH( 'T', 'N', LJ, 1, K, ALPHA,
  1601. $ A( 1, JJ ), NMAX,
  1602. $ A( 1, J ), NMAX, BETA,
  1603. $ C( JJ, J ), NMAX, CT, G,
  1604. $ CC( JC ), LDC, EPS, ERR,
  1605. $ FATAL, NOUT, .TRUE. )
  1606. ELSE
  1607. CALL DMMCH( 'N', 'T', LJ, 1, K, ALPHA,
  1608. $ A( JJ, 1 ), NMAX,
  1609. $ A( J, 1 ), NMAX, BETA,
  1610. $ C( JJ, J ), NMAX, CT, G,
  1611. $ CC( JC ), LDC, EPS, ERR,
  1612. $ FATAL, NOUT, .TRUE. )
  1613. END IF
  1614. IF( UPPER )THEN
  1615. JC = JC + LDC
  1616. ELSE
  1617. JC = JC + LDC + 1
  1618. END IF
  1619. ERRMAX = MAX( ERRMAX, ERR )
  1620. * If got really bad answer, report and
  1621. * return.
  1622. IF( FATAL )
  1623. $ GO TO 110
  1624. 40 CONTINUE
  1625. END IF
  1626. *
  1627. 50 CONTINUE
  1628. *
  1629. 60 CONTINUE
  1630. *
  1631. 70 CONTINUE
  1632. *
  1633. 80 CONTINUE
  1634. *
  1635. 90 CONTINUE
  1636. *
  1637. 100 CONTINUE
  1638. *
  1639. * Report result.
  1640. *
  1641. IF( ERRMAX.LT.THRESH )THEN
  1642. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1643. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1644. ELSE
  1645. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1646. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1647. END IF
  1648. GO TO 130
  1649. *
  1650. 110 CONTINUE
  1651. IF( N.GT.1 )
  1652. $ WRITE( NOUT, FMT = 9995 )J
  1653. *
  1654. 120 CONTINUE
  1655. WRITE( NOUT, FMT = 9996 )SNAME
  1656. CALL DPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
  1657. $ LDA, BETA, LDC)
  1658. *
  1659. 130 CONTINUE
  1660. RETURN
  1661. *
  1662. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1663. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1664. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1665. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1666. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1667. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1668. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1669. $ ' (', I6, ' CALL', 'S)' )
  1670. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1671. $ ' (', I6, ' CALL', 'S)' )
  1672. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1673. $ 'ANGED INCORRECTLY *******' )
  1674. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  1675. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  1676. C 9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1677. C $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') .' )
  1678. 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1679. $ '******' )
  1680. *
  1681. * End of DCHK4.
  1682. *
  1683. END
  1684. *
  1685. SUBROUTINE DPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  1686. $ N, K, ALPHA, LDA, BETA, LDC)
  1687. INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
  1688. DOUBLE PRECISION ALPHA, BETA
  1689. CHARACTER*1 UPLO, TRANSA
  1690. CHARACTER*12 SNAME
  1691. CHARACTER*14 CRC, CU, CA
  1692. IF (UPLO.EQ.'U')THEN
  1693. CU = ' CblasUpper'
  1694. ELSE
  1695. CU = ' CblasLower'
  1696. END IF
  1697. IF (TRANSA.EQ.'N')THEN
  1698. CA = ' CblasNoTrans'
  1699. ELSE IF (TRANSA.EQ.'T')THEN
  1700. CA = ' CblasTrans'
  1701. ELSE
  1702. CA = 'CblasConjTrans'
  1703. END IF
  1704. IF (IORDER.EQ.1)THEN
  1705. CRC = ' CblasRowMajor'
  1706. ELSE
  1707. CRC = ' CblasColMajor'
  1708. END IF
  1709. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  1710. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
  1711. 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') )
  1712. 9994 FORMAT( 20X, 2( I3, ',' ),
  1713. $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' )
  1714. END
  1715. *
  1716. SUBROUTINE DCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1717. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  1718. $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  1719. $ IORDER )
  1720. *
  1721. * Tests DSYR2K.
  1722. *
  1723. * Auxiliary routine for test program for Level 3 Blas.
  1724. *
  1725. * -- Written on 8-February-1989.
  1726. * Jack Dongarra, Argonne National Laboratory.
  1727. * Iain Duff, AERE Harwell.
  1728. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1729. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1730. *
  1731. * .. Parameters ..
  1732. DOUBLE PRECISION ZERO
  1733. PARAMETER ( ZERO = 0.0D0 )
  1734. * .. Scalar Arguments ..
  1735. DOUBLE PRECISION EPS, THRESH
  1736. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  1737. LOGICAL FATAL, REWI, TRACE
  1738. CHARACTER*12 SNAME
  1739. * .. Array Arguments ..
  1740. DOUBLE PRECISION AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ),
  1741. $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ),
  1742. $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ),
  1743. $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
  1744. $ G( NMAX ), W( 2*NMAX )
  1745. INTEGER IDIM( NIDIM )
  1746. * .. Local Scalars ..
  1747. DOUBLE PRECISION ALPHA, ALS, BETA, BETS, ERR, ERRMAX
  1748. INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB,
  1749. $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS,
  1750. $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS
  1751. LOGICAL NULL, RESET, SAME, TRAN, UPPER
  1752. CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS
  1753. CHARACTER*2 ICHU
  1754. CHARACTER*3 ICHT
  1755. * .. Local Arrays ..
  1756. LOGICAL ISAME( 13 )
  1757. * .. External Functions ..
  1758. LOGICAL LDE, LDERES
  1759. EXTERNAL LDE, LDERES
  1760. * .. External Subroutines ..
  1761. EXTERNAL DMAKE, DMMCH, CDSYR2K
  1762. * .. Intrinsic Functions ..
  1763. INTRINSIC MAX
  1764. * .. Scalars in Common ..
  1765. INTEGER INFOT, NOUTC
  1766. LOGICAL OK
  1767. * .. Common blocks ..
  1768. COMMON /INFOC/INFOT, NOUTC, OK
  1769. * .. Data statements ..
  1770. DATA ICHT/'NTC'/, ICHU/'UL'/
  1771. * .. Executable Statements ..
  1772. *
  1773. NARGS = 12
  1774. NC = 0
  1775. RESET = .TRUE.
  1776. ERRMAX = ZERO
  1777. *
  1778. DO 130 IN = 1, NIDIM
  1779. N = IDIM( IN )
  1780. * Set LDC to 1 more than minimum value if room.
  1781. LDC = N
  1782. IF( LDC.LT.NMAX )
  1783. $ LDC = LDC + 1
  1784. * Skip tests if not enough room.
  1785. IF( LDC.GT.NMAX )
  1786. $ GO TO 130
  1787. LCC = LDC*N
  1788. NULL = N.LE.0
  1789. *
  1790. DO 120 IK = 1, NIDIM
  1791. K = IDIM( IK )
  1792. *
  1793. DO 110 ICT = 1, 3
  1794. TRANS = ICHT( ICT: ICT )
  1795. TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
  1796. IF( TRAN )THEN
  1797. MA = K
  1798. NA = N
  1799. ELSE
  1800. MA = N
  1801. NA = K
  1802. END IF
  1803. * Set LDA to 1 more than minimum value if room.
  1804. LDA = MA
  1805. IF( LDA.LT.NMAX )
  1806. $ LDA = LDA + 1
  1807. * Skip tests if not enough room.
  1808. IF( LDA.GT.NMAX )
  1809. $ GO TO 110
  1810. LAA = LDA*NA
  1811. *
  1812. * Generate the matrix A.
  1813. *
  1814. IF( TRAN )THEN
  1815. CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA,
  1816. $ LDA, RESET, ZERO )
  1817. ELSE
  1818. CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA,
  1819. $ RESET, ZERO )
  1820. END IF
  1821. *
  1822. * Generate the matrix B.
  1823. *
  1824. LDB = LDA
  1825. LBB = LAA
  1826. IF( TRAN )THEN
  1827. CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ),
  1828. $ 2*NMAX, BB, LDB, RESET, ZERO )
  1829. ELSE
  1830. CALL DMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ),
  1831. $ NMAX, BB, LDB, RESET, ZERO )
  1832. END IF
  1833. *
  1834. DO 100 ICU = 1, 2
  1835. UPLO = ICHU( ICU: ICU )
  1836. UPPER = UPLO.EQ.'U'
  1837. *
  1838. DO 90 IA = 1, NALF
  1839. ALPHA = ALF( IA )
  1840. *
  1841. DO 80 IB = 1, NBET
  1842. BETA = BET( IB )
  1843. *
  1844. * Generate the matrix C.
  1845. *
  1846. CALL DMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC,
  1847. $ LDC, RESET, ZERO )
  1848. *
  1849. NC = NC + 1
  1850. *
  1851. * Save every datum before calling the subroutine.
  1852. *
  1853. UPLOS = UPLO
  1854. TRANSS = TRANS
  1855. NS = N
  1856. KS = K
  1857. ALS = ALPHA
  1858. DO 10 I = 1, LAA
  1859. AS( I ) = AA( I )
  1860. 10 CONTINUE
  1861. LDAS = LDA
  1862. DO 20 I = 1, LBB
  1863. BS( I ) = BB( I )
  1864. 20 CONTINUE
  1865. LDBS = LDB
  1866. BETS = BETA
  1867. DO 30 I = 1, LCC
  1868. CS( I ) = CC( I )
  1869. 30 CONTINUE
  1870. LDCS = LDC
  1871. *
  1872. * Call the subroutine.
  1873. *
  1874. IF( TRACE )
  1875. $ CALL DPRCN5( NTRA, NC, SNAME, IORDER, UPLO,
  1876. $ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC)
  1877. IF( REWI )
  1878. $ REWIND NTRA
  1879. CALL CDSYR2K( IORDER, UPLO, TRANS, N, K,
  1880. $ ALPHA, AA, LDA, BB, LDB, BETA,
  1881. $ CC, LDC )
  1882. *
  1883. * Check if error-exit was taken incorrectly.
  1884. *
  1885. IF( .NOT.OK )THEN
  1886. WRITE( NOUT, FMT = 9993 )
  1887. FATAL = .TRUE.
  1888. GO TO 150
  1889. END IF
  1890. *
  1891. * See what data changed inside subroutines.
  1892. *
  1893. ISAME( 1 ) = UPLOS.EQ.UPLO
  1894. ISAME( 2 ) = TRANSS.EQ.TRANS
  1895. ISAME( 3 ) = NS.EQ.N
  1896. ISAME( 4 ) = KS.EQ.K
  1897. ISAME( 5 ) = ALS.EQ.ALPHA
  1898. ISAME( 6 ) = LDE( AS, AA, LAA )
  1899. ISAME( 7 ) = LDAS.EQ.LDA
  1900. ISAME( 8 ) = LDE( BS, BB, LBB )
  1901. ISAME( 9 ) = LDBS.EQ.LDB
  1902. ISAME( 10 ) = BETS.EQ.BETA
  1903. IF( NULL )THEN
  1904. ISAME( 11 ) = LDE( CS, CC, LCC )
  1905. ELSE
  1906. ISAME( 11 ) = LDERES( 'SY', UPLO, N, N, CS,
  1907. $ CC, LDC )
  1908. END IF
  1909. ISAME( 12 ) = LDCS.EQ.LDC
  1910. *
  1911. * If data was incorrectly changed, report and
  1912. * return.
  1913. *
  1914. SAME = .TRUE.
  1915. DO 40 I = 1, NARGS
  1916. SAME = SAME.AND.ISAME( I )
  1917. IF( .NOT.ISAME( I ) )
  1918. $ WRITE( NOUT, FMT = 9998 )I
  1919. 40 CONTINUE
  1920. IF( .NOT.SAME )THEN
  1921. FATAL = .TRUE.
  1922. GO TO 150
  1923. END IF
  1924. *
  1925. IF( .NOT.NULL )THEN
  1926. *
  1927. * Check the result column by column.
  1928. *
  1929. JJAB = 1
  1930. JC = 1
  1931. DO 70 J = 1, N
  1932. IF( UPPER )THEN
  1933. JJ = 1
  1934. LJ = J
  1935. ELSE
  1936. JJ = J
  1937. LJ = N - J + 1
  1938. END IF
  1939. IF( TRAN )THEN
  1940. DO 50 I = 1, K
  1941. W( I ) = AB( ( J - 1 )*2*NMAX + K +
  1942. $ I )
  1943. W( K + I ) = AB( ( J - 1 )*2*NMAX +
  1944. $ I )
  1945. 50 CONTINUE
  1946. CALL DMMCH( 'T', 'N', LJ, 1, 2*K,
  1947. $ ALPHA, AB( JJAB ), 2*NMAX,
  1948. $ W, 2*NMAX, BETA,
  1949. $ C( JJ, J ), NMAX, CT, G,
  1950. $ CC( JC ), LDC, EPS, ERR,
  1951. $ FATAL, NOUT, .TRUE. )
  1952. ELSE
  1953. DO 60 I = 1, K
  1954. W( I ) = AB( ( K + I - 1 )*NMAX +
  1955. $ J )
  1956. W( K + I ) = AB( ( I - 1 )*NMAX +
  1957. $ J )
  1958. 60 CONTINUE
  1959. CALL DMMCH( 'N', 'N', LJ, 1, 2*K,
  1960. $ ALPHA, AB( JJ ), NMAX, W,
  1961. $ 2*NMAX, BETA, C( JJ, J ),
  1962. $ NMAX, CT, G, CC( JC ), LDC,
  1963. $ EPS, ERR, FATAL, NOUT,
  1964. $ .TRUE. )
  1965. END IF
  1966. IF( UPPER )THEN
  1967. JC = JC + LDC
  1968. ELSE
  1969. JC = JC + LDC + 1
  1970. IF( TRAN )
  1971. $ JJAB = JJAB + 2*NMAX
  1972. END IF
  1973. ERRMAX = MAX( ERRMAX, ERR )
  1974. * If got really bad answer, report and
  1975. * return.
  1976. IF( FATAL )
  1977. $ GO TO 140
  1978. 70 CONTINUE
  1979. END IF
  1980. *
  1981. 80 CONTINUE
  1982. *
  1983. 90 CONTINUE
  1984. *
  1985. 100 CONTINUE
  1986. *
  1987. 110 CONTINUE
  1988. *
  1989. 120 CONTINUE
  1990. *
  1991. 130 CONTINUE
  1992. *
  1993. * Report result.
  1994. *
  1995. IF( ERRMAX.LT.THRESH )THEN
  1996. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1997. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1998. ELSE
  1999. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  2000. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  2001. END IF
  2002. GO TO 160
  2003. *
  2004. 140 CONTINUE
  2005. IF( N.GT.1 )
  2006. $ WRITE( NOUT, FMT = 9995 )J
  2007. *
  2008. 150 CONTINUE
  2009. WRITE( NOUT, FMT = 9996 )SNAME
  2010. CALL DPRCN5( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
  2011. $ LDA, LDB, BETA, LDC)
  2012. *
  2013. 160 CONTINUE
  2014. RETURN
  2015. *
  2016. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  2017. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2018. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2019. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  2020. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2021. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2022. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  2023. $ ' (', I6, ' CALL', 'S)' )
  2024. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  2025. $ ' (', I6, ' CALL', 'S)' )
  2026. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  2027. $ 'ANGED INCORRECTLY *******' )
  2028. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  2029. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2030. C 9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  2031. C $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ',
  2032. C $ ' .' )
  2033. 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  2034. $ '******' )
  2035. *
  2036. * End of DCHK5.
  2037. *
  2038. END
  2039. *
  2040. SUBROUTINE DPRCN5(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  2041. $ N, K, ALPHA, LDA, LDB, BETA, LDC)
  2042. INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
  2043. DOUBLE PRECISION ALPHA, BETA
  2044. CHARACTER*1 UPLO, TRANSA
  2045. CHARACTER*12 SNAME
  2046. CHARACTER*14 CRC, CU, CA
  2047. IF (UPLO.EQ.'U')THEN
  2048. CU = ' CblasUpper'
  2049. ELSE
  2050. CU = ' CblasLower'
  2051. END IF
  2052. IF (TRANSA.EQ.'N')THEN
  2053. CA = ' CblasNoTrans'
  2054. ELSE IF (TRANSA.EQ.'T')THEN
  2055. CA = ' CblasTrans'
  2056. ELSE
  2057. CA = 'CblasConjTrans'
  2058. END IF
  2059. IF (IORDER.EQ.1)THEN
  2060. CRC = ' CblasRowMajor'
  2061. ELSE
  2062. CRC = ' CblasColMajor'
  2063. END IF
  2064. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  2065. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
  2066. 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') )
  2067. 9994 FORMAT( 20X, 2( I3, ',' ),
  2068. $ F4.1, ', A,', I3, ', B', I3, ',', F4.1, ', C,', I3, ').' )
  2069. END
  2070. *
  2071. SUBROUTINE DMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET,
  2072. $ TRANSL )
  2073. *
  2074. * Generates values for an M by N matrix A.
  2075. * Stores the values in the array AA in the data structure required
  2076. * by the routine, with unwanted elements set to rogue value.
  2077. *
  2078. * TYPE is 'GE', 'SY' or 'TR'.
  2079. *
  2080. * Auxiliary routine for test program for Level 3 Blas.
  2081. *
  2082. * -- Written on 8-February-1989.
  2083. * Jack Dongarra, Argonne National Laboratory.
  2084. * Iain Duff, AERE Harwell.
  2085. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2086. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2087. *
  2088. * .. Parameters ..
  2089. DOUBLE PRECISION ZERO, ONE
  2090. PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
  2091. DOUBLE PRECISION ROGUE
  2092. PARAMETER ( ROGUE = -1.0D10 )
  2093. * .. Scalar Arguments ..
  2094. DOUBLE PRECISION TRANSL
  2095. INTEGER LDA, M, N, NMAX
  2096. LOGICAL RESET
  2097. CHARACTER*1 DIAG, UPLO
  2098. CHARACTER*2 TYPE
  2099. * .. Array Arguments ..
  2100. DOUBLE PRECISION A( NMAX, * ), AA( * )
  2101. * .. Local Scalars ..
  2102. INTEGER I, IBEG, IEND, J
  2103. LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
  2104. * .. External Functions ..
  2105. DOUBLE PRECISION DBEG
  2106. EXTERNAL DBEG
  2107. * .. Executable Statements ..
  2108. GEN = TYPE.EQ.'GE'
  2109. SYM = TYPE.EQ.'SY'
  2110. TRI = TYPE.EQ.'TR'
  2111. UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
  2112. LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
  2113. UNIT = TRI.AND.DIAG.EQ.'U'
  2114. *
  2115. * Generate data in array A.
  2116. *
  2117. DO 20 J = 1, N
  2118. DO 10 I = 1, M
  2119. IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
  2120. $ THEN
  2121. A( I, J ) = DBEG( RESET ) + TRANSL
  2122. IF( I.NE.J )THEN
  2123. * Set some elements to zero
  2124. IF( N.GT.3.AND.J.EQ.N/2 )
  2125. $ A( I, J ) = ZERO
  2126. IF( SYM )THEN
  2127. A( J, I ) = A( I, J )
  2128. ELSE IF( TRI )THEN
  2129. A( J, I ) = ZERO
  2130. END IF
  2131. END IF
  2132. END IF
  2133. 10 CONTINUE
  2134. IF( TRI )
  2135. $ A( J, J ) = A( J, J ) + ONE
  2136. IF( UNIT )
  2137. $ A( J, J ) = ONE
  2138. 20 CONTINUE
  2139. *
  2140. * Store elements in array AS in data structure required by routine.
  2141. *
  2142. IF( TYPE.EQ.'GE' )THEN
  2143. DO 50 J = 1, N
  2144. DO 30 I = 1, M
  2145. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2146. 30 CONTINUE
  2147. DO 40 I = M + 1, LDA
  2148. AA( I + ( J - 1 )*LDA ) = ROGUE
  2149. 40 CONTINUE
  2150. 50 CONTINUE
  2151. ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN
  2152. DO 90 J = 1, N
  2153. IF( UPPER )THEN
  2154. IBEG = 1
  2155. IF( UNIT )THEN
  2156. IEND = J - 1
  2157. ELSE
  2158. IEND = J
  2159. END IF
  2160. ELSE
  2161. IF( UNIT )THEN
  2162. IBEG = J + 1
  2163. ELSE
  2164. IBEG = J
  2165. END IF
  2166. IEND = N
  2167. END IF
  2168. DO 60 I = 1, IBEG - 1
  2169. AA( I + ( J - 1 )*LDA ) = ROGUE
  2170. 60 CONTINUE
  2171. DO 70 I = IBEG, IEND
  2172. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2173. 70 CONTINUE
  2174. DO 80 I = IEND + 1, LDA
  2175. AA( I + ( J - 1 )*LDA ) = ROGUE
  2176. 80 CONTINUE
  2177. 90 CONTINUE
  2178. END IF
  2179. RETURN
  2180. *
  2181. * End of DMAKE.
  2182. *
  2183. END
  2184. SUBROUTINE DMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB,
  2185. $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL,
  2186. $ NOUT, MV )
  2187. *
  2188. * Checks the results of the computational tests.
  2189. *
  2190. * Auxiliary routine for test program for Level 3 Blas.
  2191. *
  2192. * -- Written on 8-February-1989.
  2193. * Jack Dongarra, Argonne National Laboratory.
  2194. * Iain Duff, AERE Harwell.
  2195. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2196. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2197. *
  2198. * .. Parameters ..
  2199. DOUBLE PRECISION ZERO, ONE
  2200. PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
  2201. * .. Scalar Arguments ..
  2202. DOUBLE PRECISION ALPHA, BETA, EPS, ERR
  2203. INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT
  2204. LOGICAL FATAL, MV
  2205. CHARACTER*1 TRANSA, TRANSB
  2206. * .. Array Arguments ..
  2207. DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * ),
  2208. $ CC( LDCC, * ), CT( * ), G( * )
  2209. * .. Local Scalars ..
  2210. DOUBLE PRECISION ERRI
  2211. INTEGER I, J, K
  2212. LOGICAL TRANA, TRANB
  2213. * .. Intrinsic Functions ..
  2214. INTRINSIC ABS, MAX, SQRT
  2215. * .. Executable Statements ..
  2216. TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
  2217. TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
  2218. *
  2219. * Compute expected result, one column at a time, in CT using data
  2220. * in A, B and C.
  2221. * Compute gauges in G.
  2222. *
  2223. DO 120 J = 1, N
  2224. *
  2225. DO 10 I = 1, M
  2226. CT( I ) = ZERO
  2227. G( I ) = ZERO
  2228. 10 CONTINUE
  2229. IF( .NOT.TRANA.AND..NOT.TRANB )THEN
  2230. DO 30 K = 1, KK
  2231. DO 20 I = 1, M
  2232. CT( I ) = CT( I ) + A( I, K )*B( K, J )
  2233. G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( K, J ) )
  2234. 20 CONTINUE
  2235. 30 CONTINUE
  2236. ELSE IF( TRANA.AND..NOT.TRANB )THEN
  2237. DO 50 K = 1, KK
  2238. DO 40 I = 1, M
  2239. CT( I ) = CT( I ) + A( K, I )*B( K, J )
  2240. G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( K, J ) )
  2241. 40 CONTINUE
  2242. 50 CONTINUE
  2243. ELSE IF( .NOT.TRANA.AND.TRANB )THEN
  2244. DO 70 K = 1, KK
  2245. DO 60 I = 1, M
  2246. CT( I ) = CT( I ) + A( I, K )*B( J, K )
  2247. G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( J, K ) )
  2248. 60 CONTINUE
  2249. 70 CONTINUE
  2250. ELSE IF( TRANA.AND.TRANB )THEN
  2251. DO 90 K = 1, KK
  2252. DO 80 I = 1, M
  2253. CT( I ) = CT( I ) + A( K, I )*B( J, K )
  2254. G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( J, K ) )
  2255. 80 CONTINUE
  2256. 90 CONTINUE
  2257. END IF
  2258. DO 100 I = 1, M
  2259. CT( I ) = ALPHA*CT( I ) + BETA*C( I, J )
  2260. G( I ) = ABS( ALPHA )*G( I ) + ABS( BETA )*ABS( C( I, J ) )
  2261. 100 CONTINUE
  2262. *
  2263. * Compute the error ratio for this result.
  2264. *
  2265. ERR = ZERO
  2266. DO 110 I = 1, M
  2267. ERRI = ABS( CT( I ) - CC( I, J ) )/EPS
  2268. IF( G( I ).NE.ZERO )
  2269. $ ERRI = ERRI/G( I )
  2270. ERR = MAX( ERR, ERRI )
  2271. IF( ERR*SQRT( EPS ).GE.ONE )
  2272. $ GO TO 130
  2273. 110 CONTINUE
  2274. *
  2275. 120 CONTINUE
  2276. *
  2277. * If the loop completes, all results are at least half accurate.
  2278. GO TO 150
  2279. *
  2280. * Report fatal error.
  2281. *
  2282. 130 FATAL = .TRUE.
  2283. WRITE( NOUT, FMT = 9999 )
  2284. DO 140 I = 1, M
  2285. IF( MV )THEN
  2286. WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J )
  2287. ELSE
  2288. WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I )
  2289. END IF
  2290. 140 CONTINUE
  2291. IF( N.GT.1 )
  2292. $ WRITE( NOUT, FMT = 9997 )J
  2293. *
  2294. 150 CONTINUE
  2295. RETURN
  2296. *
  2297. 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
  2298. $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU',
  2299. $ 'TED RESULT' )
  2300. 9998 FORMAT( 1X, I7, 2G18.6 )
  2301. 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2302. *
  2303. * End of DMMCH.
  2304. *
  2305. END
  2306. LOGICAL FUNCTION LDE( RI, RJ, LR )
  2307. *
  2308. * Tests if two arrays are identical.
  2309. *
  2310. * Auxiliary routine for test program for Level 3 Blas.
  2311. *
  2312. * -- Written on 8-February-1989.
  2313. * Jack Dongarra, Argonne National Laboratory.
  2314. * Iain Duff, AERE Harwell.
  2315. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2316. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2317. *
  2318. * .. Scalar Arguments ..
  2319. INTEGER LR
  2320. * .. Array Arguments ..
  2321. DOUBLE PRECISION RI( * ), RJ( * )
  2322. * .. Local Scalars ..
  2323. INTEGER I
  2324. * .. Executable Statements ..
  2325. DO 10 I = 1, LR
  2326. IF( RI( I ).NE.RJ( I ) )
  2327. $ GO TO 20
  2328. 10 CONTINUE
  2329. LDE = .TRUE.
  2330. GO TO 30
  2331. 20 CONTINUE
  2332. LDE = .FALSE.
  2333. 30 RETURN
  2334. *
  2335. * End of LDE.
  2336. *
  2337. END
  2338. LOGICAL FUNCTION LDERES( TYPE, UPLO, M, N, AA, AS, LDA )
  2339. *
  2340. * Tests if selected elements in two arrays are equal.
  2341. *
  2342. * TYPE is 'GE' or 'SY'.
  2343. *
  2344. * Auxiliary routine for test program for Level 3 Blas.
  2345. *
  2346. * -- Written on 8-February-1989.
  2347. * Jack Dongarra, Argonne National Laboratory.
  2348. * Iain Duff, AERE Harwell.
  2349. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2350. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2351. *
  2352. * .. Scalar Arguments ..
  2353. INTEGER LDA, M, N
  2354. CHARACTER*1 UPLO
  2355. CHARACTER*2 TYPE
  2356. * .. Array Arguments ..
  2357. DOUBLE PRECISION AA( LDA, * ), AS( LDA, * )
  2358. * .. Local Scalars ..
  2359. INTEGER I, IBEG, IEND, J
  2360. LOGICAL UPPER
  2361. * .. Executable Statements ..
  2362. UPPER = UPLO.EQ.'U'
  2363. IF( TYPE.EQ.'GE' )THEN
  2364. DO 20 J = 1, N
  2365. DO 10 I = M + 1, LDA
  2366. IF( AA( I, J ).NE.AS( I, J ) )
  2367. $ GO TO 70
  2368. 10 CONTINUE
  2369. 20 CONTINUE
  2370. ELSE IF( TYPE.EQ.'SY' )THEN
  2371. DO 50 J = 1, N
  2372. IF( UPPER )THEN
  2373. IBEG = 1
  2374. IEND = J
  2375. ELSE
  2376. IBEG = J
  2377. IEND = N
  2378. END IF
  2379. DO 30 I = 1, IBEG - 1
  2380. IF( AA( I, J ).NE.AS( I, J ) )
  2381. $ GO TO 70
  2382. 30 CONTINUE
  2383. DO 40 I = IEND + 1, LDA
  2384. IF( AA( I, J ).NE.AS( I, J ) )
  2385. $ GO TO 70
  2386. 40 CONTINUE
  2387. 50 CONTINUE
  2388. END IF
  2389. *
  2390. C 60 CONTINUE
  2391. LDERES = .TRUE.
  2392. GO TO 80
  2393. 70 CONTINUE
  2394. LDERES = .FALSE.
  2395. 80 RETURN
  2396. *
  2397. * End of LDERES.
  2398. *
  2399. END
  2400. DOUBLE PRECISION FUNCTION DBEG( RESET )
  2401. *
  2402. * Generates random numbers uniformly distributed between -0.5 and 0.5.
  2403. *
  2404. * Auxiliary routine for test program for Level 3 Blas.
  2405. *
  2406. * -- Written on 8-February-1989.
  2407. * Jack Dongarra, Argonne National Laboratory.
  2408. * Iain Duff, AERE Harwell.
  2409. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2410. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2411. *
  2412. * .. Scalar Arguments ..
  2413. LOGICAL RESET
  2414. * .. Local Scalars ..
  2415. INTEGER I, IC, MI
  2416. * .. Save statement ..
  2417. SAVE I, IC, MI
  2418. * .. Executable Statements ..
  2419. IF( RESET )THEN
  2420. * Initialize local variables.
  2421. MI = 891
  2422. I = 7
  2423. IC = 0
  2424. RESET = .FALSE.
  2425. END IF
  2426. *
  2427. * The sequence of values of I is bounded between 1 and 999.
  2428. * If initial I = 1,2,3,6,7 or 9, the period will be 50.
  2429. * If initial I = 4 or 8, the period will be 25.
  2430. * If initial I = 5, the period will be 10.
  2431. * IC is used to break up the period by skipping 1 value of I in 6.
  2432. *
  2433. IC = IC + 1
  2434. 10 I = I*MI
  2435. I = I - 1000*( I/1000 )
  2436. IF( IC.GE.5 )THEN
  2437. IC = 0
  2438. GO TO 10
  2439. END IF
  2440. DBEG = ( I - 500 )/1001.0D0
  2441. RETURN
  2442. *
  2443. * End of DBEG.
  2444. *
  2445. END
  2446. DOUBLE PRECISION FUNCTION DDIFF( X, Y )
  2447. *
  2448. * Auxiliary routine for test program for Level 3 Blas.
  2449. *
  2450. * -- Written on 8-February-1989.
  2451. * Jack Dongarra, Argonne National Laboratory.
  2452. * Iain Duff, AERE Harwell.
  2453. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2454. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2455. *
  2456. * .. Scalar Arguments ..
  2457. DOUBLE PRECISION X, Y
  2458. * .. Executable Statements ..
  2459. DDIFF = X - Y
  2460. RETURN
  2461. *
  2462. * End of DDIFF.
  2463. *
  2464. END