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c_sblat3.f 88 kB

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  1. PROGRAM SBLAT3
  2. *
  3. * Test program for the REAL 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. * 'SBLAT3.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_sgemm T PUT F FOR NO TEST. SAME COLUMNS.
  24. * cblas_ssymm T PUT F FOR NO TEST. SAME COLUMNS.
  25. * cblas_strmm T PUT F FOR NO TEST. SAME COLUMNS.
  26. * cblas_strsm T PUT F FOR NO TEST. SAME COLUMNS.
  27. * cblas_ssyrk T PUT F FOR NO TEST. SAME COLUMNS.
  28. * cblas_ssyr2k 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. REAL ZERO, HALF, ONE
  51. PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
  52. INTEGER NMAX
  53. PARAMETER ( NMAX = 65 )
  54. INTEGER NIDMAX, NALMAX, NBEMAX
  55. PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 )
  56. * .. Local Scalars ..
  57. REAL 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. REAL 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. REAL SDIFF
  77. LOGICAL LSE
  78. EXTERNAL SDIFF, LSE
  79. * .. External Subroutines ..
  80. EXTERNAL SCHK1, SCHK2, SCHK3, SCHK4, SCHK5, CS3CHKE,
  81. $ SMMCH
  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_sgemm ', 'cblas_ssymm ',
  93. $ 'cblas_strmm ', 'cblas_strsm ','cblas_ssyrk ',
  94. $ 'cblas_ssyr2k'/
  95. * .. Executable Statements ..
  96. *
  97. NOUTC = NOUT
  98. * Read name and unit number for summary output file and open file.
  99. *
  100. READ( NIN, FMT = * )SNAPS
  101. READ( NIN, FMT = * )NTRA
  102. TRACE = NTRA.GE.0
  103. IF( TRACE )THEN
  104. * OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' )
  105. OPEN( NTRA, FILE = SNAPS )
  106. END IF
  107. * Read the flag that directs rewinding of the snapshot file.
  108. READ( NIN, FMT = * )REWI
  109. REWI = REWI.AND.TRACE
  110. * Read the flag that directs stopping on any failure.
  111. READ( NIN, FMT = * )SFATAL
  112. * Read the flag that indicates whether error exits are to be tested.
  113. READ( NIN, FMT = * )TSTERR
  114. * Read the flag that indicates whether row-major data layout to be tested.
  115. READ( NIN, FMT = * )LAYOUT
  116. * Read the threshold value of the test ratio
  117. READ( NIN, FMT = * )THRESH
  118. *
  119. * Read and check the parameter values for the tests.
  120. *
  121. * Values of N
  122. READ( NIN, FMT = * )NIDIM
  123. IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
  124. WRITE( NOUT, FMT = 9997 )'N', NIDMAX
  125. GO TO 220
  126. END IF
  127. READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
  128. DO 10 I = 1, NIDIM
  129. IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
  130. WRITE( NOUT, FMT = 9996 )NMAX
  131. GO TO 220
  132. END IF
  133. 10 CONTINUE
  134. * Values of ALPHA
  135. READ( NIN, FMT = * )NALF
  136. IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
  137. WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
  138. GO TO 220
  139. END IF
  140. READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
  141. * Values of BETA
  142. READ( NIN, FMT = * )NBET
  143. IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
  144. WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
  145. GO TO 220
  146. END IF
  147. READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
  148. *
  149. * Report values of parameters.
  150. *
  151. WRITE( NOUT, FMT = 9995 )
  152. WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM )
  153. WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF )
  154. WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET )
  155. IF( .NOT.TSTERR )THEN
  156. WRITE( NOUT, FMT = * )
  157. WRITE( NOUT, FMT = 9984 )
  158. END IF
  159. WRITE( NOUT, FMT = * )
  160. WRITE( NOUT, FMT = 9999 )THRESH
  161. WRITE( NOUT, FMT = * )
  162. RORDER = .FALSE.
  163. CORDER = .FALSE.
  164. IF (LAYOUT.EQ.2) THEN
  165. RORDER = .TRUE.
  166. CORDER = .TRUE.
  167. WRITE( *, FMT = 10002 )
  168. ELSE IF (LAYOUT.EQ.1) THEN
  169. RORDER = .TRUE.
  170. WRITE( *, FMT = 10001 )
  171. ELSE IF (LAYOUT.EQ.0) THEN
  172. CORDER = .TRUE.
  173. WRITE( *, FMT = 10000 )
  174. END IF
  175. WRITE( *, FMT = * )
  176. *
  177. * Read names of subroutines and flags which indicate
  178. * whether they are to be tested.
  179. *
  180. DO 20 I = 1, NSUBS
  181. LTEST( I ) = .FALSE.
  182. 20 CONTINUE
  183. 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT
  184. DO 40 I = 1, NSUBS
  185. IF( SNAMET.EQ.SNAMES( I ) )
  186. $ GO TO 50
  187. 40 CONTINUE
  188. WRITE( NOUT, FMT = 9990 )SNAMET
  189. STOP
  190. 50 LTEST( I ) = LTESTT
  191. GO TO 30
  192. *
  193. 60 CONTINUE
  194. CLOSE ( NIN )
  195. *
  196. * Compute EPS (the machine precision).
  197. *
  198. EPS = ONE
  199. 70 CONTINUE
  200. IF( SDIFF( ONE + EPS, ONE ).EQ.ZERO )
  201. $ GO TO 80
  202. EPS = HALF*EPS
  203. GO TO 70
  204. 80 CONTINUE
  205. EPS = EPS + EPS
  206. WRITE( NOUT, FMT = 9998 )EPS
  207. *
  208. * Check the reliability of SMMCH using exact data.
  209. *
  210. N = MIN( 32, NMAX )
  211. DO 100 J = 1, N
  212. DO 90 I = 1, N
  213. AB( I, J ) = MAX( I - J + 1, 0 )
  214. 90 CONTINUE
  215. AB( J, NMAX + 1 ) = J
  216. AB( 1, NMAX + J ) = J
  217. C( J, 1 ) = ZERO
  218. 100 CONTINUE
  219. DO 110 J = 1, N
  220. CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
  221. 110 CONTINUE
  222. * CC holds the exact result. On exit from SMMCH CT holds
  223. * the result computed by SMMCH.
  224. TRANSA = 'N'
  225. TRANSB = 'N'
  226. CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  227. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  228. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  229. SAME = LSE( CC, CT, N )
  230. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  231. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  232. STOP
  233. END IF
  234. TRANSB = 'T'
  235. CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  236. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  237. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  238. SAME = LSE( CC, CT, N )
  239. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  240. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  241. STOP
  242. END IF
  243. DO 120 J = 1, N
  244. AB( J, NMAX + 1 ) = N - J + 1
  245. AB( 1, NMAX + J ) = N - J + 1
  246. 120 CONTINUE
  247. DO 130 J = 1, N
  248. CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 -
  249. $ ( ( J + 1 )*J*( J - 1 ) )/3
  250. 130 CONTINUE
  251. TRANSA = 'T'
  252. TRANSB = 'N'
  253. CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  254. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  255. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  256. SAME = LSE( CC, CT, N )
  257. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  258. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  259. STOP
  260. END IF
  261. TRANSB = 'T'
  262. CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
  263. $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
  264. $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. )
  265. SAME = LSE( CC, CT, N )
  266. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  267. WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
  268. STOP
  269. END IF
  270. *
  271. * Test each subroutine in turn.
  272. *
  273. DO 200 ISNUM = 1, NSUBS
  274. WRITE( NOUT, FMT = * )
  275. IF( .NOT.LTEST( ISNUM ) )THEN
  276. * Subprogram is not to be tested.
  277. WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM )
  278. ELSE
  279. SRNAMT = SNAMES( ISNUM )
  280. * Test error exits.
  281. IF( TSTERR )THEN
  282. CALL CS3CHKE( SNAMES( ISNUM ) )
  283. WRITE( NOUT, FMT = * )
  284. END IF
  285. * Test computations.
  286. INFOT = 0
  287. OK = .TRUE.
  288. FATAL = .FALSE.
  289. GO TO ( 140, 150, 160, 160, 170, 180 )ISNUM
  290. * Test SGEMM, 01.
  291. 140 IF (CORDER) THEN
  292. CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  293. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  294. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  295. $ CC, CS, CT, G, 0 )
  296. END IF
  297. IF (RORDER) THEN
  298. CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  299. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  300. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  301. $ CC, CS, CT, G, 1 )
  302. END IF
  303. GO TO 190
  304. * Test SSYMM, 02.
  305. 150 IF (CORDER) THEN
  306. CALL SCHK2( 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, 0 )
  310. END IF
  311. IF (RORDER) THEN
  312. CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  313. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  314. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  315. $ CC, CS, CT, G, 1 )
  316. END IF
  317. GO TO 190
  318. * Test STRMM, 03, STRSM, 04.
  319. 160 IF (CORDER) THEN
  320. CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  321. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
  322. $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C,
  323. $ 0 )
  324. END IF
  325. IF (RORDER) THEN
  326. CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  327. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
  328. $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C,
  329. $ 1 )
  330. END IF
  331. GO TO 190
  332. * Test SSYRK, 05.
  333. 170 IF (CORDER) THEN
  334. CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  335. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  336. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  337. $ CC, CS, CT, G, 0 )
  338. END IF
  339. IF (RORDER) THEN
  340. CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  341. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  342. $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
  343. $ CC, CS, CT, G, 1 )
  344. END IF
  345. GO TO 190
  346. * Test SSYR2K, 06.
  347. 180 IF (CORDER) THEN
  348. CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  349. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  350. $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  351. $ 0 )
  352. END IF
  353. IF (RORDER) THEN
  354. CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  355. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
  356. $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  357. $ 1 )
  358. END IF
  359. GO TO 190
  360. *
  361. 190 IF( FATAL.AND.SFATAL )
  362. $ GO TO 210
  363. END IF
  364. 200 CONTINUE
  365. WRITE( NOUT, FMT = 9986 )
  366. GO TO 230
  367. *
  368. 210 CONTINUE
  369. WRITE( NOUT, FMT = 9985 )
  370. GO TO 230
  371. *
  372. 220 CONTINUE
  373. WRITE( NOUT, FMT = 9991 )
  374. *
  375. 230 CONTINUE
  376. IF( TRACE )
  377. $ CLOSE ( NTRA )
  378. CLOSE ( NOUT )
  379. STOP
  380. *
  381. 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
  382. 10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
  383. 10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
  384. 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
  385. $ 'S THAN', F8.2 )
  386. 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
  387. 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
  388. $ 'THAN ', I2 )
  389. 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
  390. 9995 FORMAT( ' TESTS OF THE REAL LEVEL 3 BLAS', //' THE F',
  391. $ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
  392. 9994 FORMAT( ' FOR N ', 9I6 )
  393. 9993 FORMAT( ' FOR ALPHA ', 7F6.1 )
  394. 9992 FORMAT( ' FOR BETA ', 7F6.1 )
  395. 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
  396. $ /' ******* TESTS ABANDONED *******' )
  397. 9990 FORMAT( ' SUBPROGRAM NAME ', A12,' NOT RECOGNIZED', /' ******* ',
  398. $ 'TESTS ABANDONED *******' )
  399. 9989 FORMAT( ' ERROR IN SMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
  400. $ 'ATED WRONGLY.', /' SMMCH WAS CALLED WITH TRANSA = ', A1,
  401. $ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ',
  402. $ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ',
  403. $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ',
  404. $ '*******' )
  405. 9988 FORMAT( A12,L2 )
  406. 9987 FORMAT( 1X, A12,' WAS NOT TESTED' )
  407. 9986 FORMAT( /' END OF TESTS' )
  408. 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
  409. 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
  410. *
  411. * End of SBLAT3.
  412. *
  413. END
  414. SUBROUTINE SCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  415. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  416. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  417. $ IORDER )
  418. *
  419. * Tests SGEMM.
  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. REAL ZERO
  431. PARAMETER ( ZERO = 0.0 )
  432. * .. Scalar Arguments ..
  433. REAL EPS, THRESH
  434. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  435. LOGICAL FATAL, REWI, TRACE
  436. CHARACTER*12 SNAME
  437. * .. Array Arguments ..
  438. REAL 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. REAL 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 LSE, LSERES
  456. EXTERNAL LSE, LSERES
  457. * .. External Subroutines ..
  458. EXTERNAL CSGEMM, SMAKE, SMMCH
  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 SMAKE( '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 SMAKE( '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 SMAKE( '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 SPRCN1(NTRA, NC, SNAME, IORDER,
  583. $ TRANSA, TRANSB, M, N, K, ALPHA, LDA,
  584. $ LDB, BETA, LDC)
  585. IF( REWI )
  586. $ REWIND NTRA
  587. CALL CSGEMM( 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 ) = LSE( AS, AA, LAA )
  608. ISAME( 8 ) = LDAS.EQ.LDA
  609. ISAME( 9 ) = LSE( BS, BB, LBB )
  610. ISAME( 10 ) = LDBS.EQ.LDB
  611. ISAME( 11 ) = BLS.EQ.BETA
  612. IF( NULL )THEN
  613. ISAME( 12 ) = LSE( CS, CC, LCC )
  614. ELSE
  615. ISAME( 12 ) = LSERES( '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+1
  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 SMMCH( 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 SPRCN1(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. 9995 FORMAT( 1X, I6, ': ', A12,'(''', A1, ''',''', A1, ''',',
  696. $ 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', ',
  697. $ 'C,', I3, ').' )
  698. 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  699. $ '******' )
  700. *
  701. * End of SCHK1.
  702. *
  703. END
  704. *
  705. *
  706. *
  707. SUBROUTINE SPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N,
  708. $ K, ALPHA, LDA, LDB, BETA, LDC)
  709. INTEGER NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC
  710. REAL ALPHA, BETA
  711. CHARACTER*1 TRANSA, TRANSB
  712. CHARACTER*12 SNAME
  713. CHARACTER*14 CRC, CTA,CTB
  714. IF (TRANSA.EQ.'N')THEN
  715. CTA = ' CblasNoTrans'
  716. ELSE IF (TRANSA.EQ.'T')THEN
  717. CTA = ' CblasTrans'
  718. ELSE
  719. CTA = 'CblasConjTrans'
  720. END IF
  721. IF (TRANSB.EQ.'N')THEN
  722. CTB = ' CblasNoTrans'
  723. ELSE IF (TRANSB.EQ.'T')THEN
  724. CTB = ' CblasTrans'
  725. ELSE
  726. CTB = 'CblasConjTrans'
  727. END IF
  728. IF (IORDER.EQ.1)THEN
  729. CRC = ' CblasRowMajor'
  730. ELSE
  731. CRC = ' CblasColMajor'
  732. END IF
  733. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB
  734. WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC
  735. 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
  736. 9994 FORMAT( 20X, 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',',
  737. $ F4.1, ', ', 'C,', I3, ').' )
  738. END
  739. *
  740. SUBROUTINE SCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  741. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  742. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  743. $ IORDER )
  744. *
  745. * Tests SSYMM.
  746. *
  747. * Auxiliary routine for test program for Level 3 Blas.
  748. *
  749. * -- Written on 8-February-1989.
  750. * Jack Dongarra, Argonne National Laboratory.
  751. * Iain Duff, AERE Harwell.
  752. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  753. * Sven Hammarling, Numerical Algorithms Group Ltd.
  754. *
  755. * .. Parameters ..
  756. REAL ZERO
  757. PARAMETER ( ZERO = 0.0 )
  758. * .. Scalar Arguments ..
  759. REAL EPS, THRESH
  760. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  761. LOGICAL FATAL, REWI, TRACE
  762. CHARACTER*12 SNAME
  763. * .. Array Arguments ..
  764. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  765. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  766. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  767. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  768. $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )
  769. INTEGER IDIM( NIDIM )
  770. * .. Local Scalars ..
  771. REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX
  772. INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC,
  773. $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA,
  774. $ NARGS, NC, NS
  775. LOGICAL LEFT, NULL, RESET, SAME
  776. CHARACTER*1 SIDE, SIDES, UPLO, UPLOS
  777. CHARACTER*2 ICHS, ICHU
  778. * .. Local Arrays ..
  779. LOGICAL ISAME( 13 )
  780. * .. External Functions ..
  781. LOGICAL LSE, LSERES
  782. EXTERNAL LSE, LSERES
  783. * .. External Subroutines ..
  784. EXTERNAL SMAKE, SMMCH, CSSYMM
  785. * .. Intrinsic Functions ..
  786. INTRINSIC MAX
  787. * .. Scalars in Common ..
  788. INTEGER INFOT, NOUTC
  789. LOGICAL OK
  790. * .. Common blocks ..
  791. COMMON /INFOC/INFOT, NOUTC, OK
  792. * .. Data statements ..
  793. DATA ICHS/'LR'/, ICHU/'UL'/
  794. * .. Executable Statements ..
  795. *
  796. NARGS = 12
  797. NC = 0
  798. RESET = .TRUE.
  799. ERRMAX = ZERO
  800. *
  801. DO 100 IM = 1, NIDIM
  802. M = IDIM( IM )
  803. *
  804. DO 90 IN = 1, NIDIM
  805. N = IDIM( IN )
  806. * Set LDC to 1 more than minimum value if room.
  807. LDC = M
  808. IF( LDC.LT.NMAX )
  809. $ LDC = LDC + 1
  810. * Skip tests if not enough room.
  811. IF( LDC.GT.NMAX )
  812. $ GO TO 90
  813. LCC = LDC*N
  814. NULL = N.LE.0.OR.M.LE.0
  815. *
  816. * Set LDB to 1 more than minimum value if room.
  817. LDB = M
  818. IF( LDB.LT.NMAX )
  819. $ LDB = LDB + 1
  820. * Skip tests if not enough room.
  821. IF( LDB.GT.NMAX )
  822. $ GO TO 90
  823. LBB = LDB*N
  824. *
  825. * Generate the matrix B.
  826. *
  827. CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET,
  828. $ ZERO )
  829. *
  830. DO 80 ICS = 1, 2
  831. SIDE = ICHS( ICS: ICS )
  832. LEFT = SIDE.EQ.'L'
  833. *
  834. IF( LEFT )THEN
  835. NA = M
  836. ELSE
  837. NA = N
  838. END IF
  839. * Set LDA to 1 more than minimum value if room.
  840. LDA = NA
  841. IF( LDA.LT.NMAX )
  842. $ LDA = LDA + 1
  843. * Skip tests if not enough room.
  844. IF( LDA.GT.NMAX )
  845. $ GO TO 80
  846. LAA = LDA*NA
  847. *
  848. DO 70 ICU = 1, 2
  849. UPLO = ICHU( ICU: ICU )
  850. *
  851. * Generate the symmetric matrix A.
  852. *
  853. CALL SMAKE( 'SY', UPLO, ' ', NA, NA, A, NMAX, AA, LDA,
  854. $ RESET, ZERO )
  855. *
  856. DO 60 IA = 1, NALF
  857. ALPHA = ALF( IA )
  858. *
  859. DO 50 IB = 1, NBET
  860. BETA = BET( IB )
  861. *
  862. * Generate the matrix C.
  863. *
  864. CALL SMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC,
  865. $ LDC, RESET, ZERO )
  866. *
  867. NC = NC + 1
  868. *
  869. * Save every datum before calling the
  870. * subroutine.
  871. *
  872. SIDES = SIDE
  873. UPLOS = UPLO
  874. MS = M
  875. NS = N
  876. ALS = ALPHA
  877. DO 10 I = 1, LAA
  878. AS( I ) = AA( I )
  879. 10 CONTINUE
  880. LDAS = LDA
  881. DO 20 I = 1, LBB
  882. BS( I ) = BB( I )
  883. 20 CONTINUE
  884. LDBS = LDB
  885. BLS = BETA
  886. DO 30 I = 1, LCC
  887. CS( I ) = CC( I )
  888. 30 CONTINUE
  889. LDCS = LDC
  890. *
  891. * Call the subroutine.
  892. *
  893. IF( TRACE )
  894. $ CALL SPRCN2(NTRA, NC, SNAME, IORDER,
  895. $ SIDE, UPLO, M, N, ALPHA, LDA, LDB,
  896. $ BETA, LDC)
  897. IF( REWI )
  898. $ REWIND NTRA
  899. CALL CSSYMM( IORDER, SIDE, UPLO, M, N, ALPHA,
  900. $ AA, LDA, BB, LDB, BETA, CC, LDC )
  901. *
  902. * Check if error-exit was taken incorrectly.
  903. *
  904. IF( .NOT.OK )THEN
  905. WRITE( NOUT, FMT = 9994 )
  906. FATAL = .TRUE.
  907. GO TO 110
  908. END IF
  909. *
  910. * See what data changed inside subroutines.
  911. *
  912. ISAME( 1 ) = SIDES.EQ.SIDE
  913. ISAME( 2 ) = UPLOS.EQ.UPLO
  914. ISAME( 3 ) = MS.EQ.M
  915. ISAME( 4 ) = NS.EQ.N
  916. ISAME( 5 ) = ALS.EQ.ALPHA
  917. ISAME( 6 ) = LSE( AS, AA, LAA )
  918. ISAME( 7 ) = LDAS.EQ.LDA
  919. ISAME( 8 ) = LSE( BS, BB, LBB )
  920. ISAME( 9 ) = LDBS.EQ.LDB
  921. ISAME( 10 ) = BLS.EQ.BETA
  922. IF( NULL )THEN
  923. ISAME( 11 ) = LSE( CS, CC, LCC )
  924. ELSE
  925. ISAME( 11 ) = LSERES( 'GE', ' ', M, N, CS,
  926. $ CC, LDC )
  927. END IF
  928. ISAME( 12 ) = LDCS.EQ.LDC
  929. *
  930. * If data was incorrectly changed, report and
  931. * return.
  932. *
  933. SAME = .TRUE.
  934. DO 40 I = 1, NARGS
  935. SAME = SAME.AND.ISAME( I )
  936. IF( .NOT.ISAME( I ) )
  937. $ WRITE( NOUT, FMT = 9998 )I+1
  938. 40 CONTINUE
  939. IF( .NOT.SAME )THEN
  940. FATAL = .TRUE.
  941. GO TO 110
  942. END IF
  943. *
  944. IF( .NOT.NULL )THEN
  945. *
  946. * Check the result.
  947. *
  948. IF( LEFT )THEN
  949. CALL SMMCH( 'N', 'N', M, N, M, ALPHA, A,
  950. $ NMAX, B, NMAX, BETA, C, NMAX,
  951. $ CT, G, CC, LDC, EPS, ERR,
  952. $ FATAL, NOUT, .TRUE. )
  953. ELSE
  954. CALL SMMCH( 'N', 'N', M, N, N, ALPHA, B,
  955. $ NMAX, A, NMAX, BETA, C, NMAX,
  956. $ CT, G, CC, LDC, EPS, ERR,
  957. $ FATAL, NOUT, .TRUE. )
  958. END IF
  959. ERRMAX = MAX( ERRMAX, ERR )
  960. * If got really bad answer, report and
  961. * return.
  962. IF( FATAL )
  963. $ GO TO 110
  964. END IF
  965. *
  966. 50 CONTINUE
  967. *
  968. 60 CONTINUE
  969. *
  970. 70 CONTINUE
  971. *
  972. 80 CONTINUE
  973. *
  974. 90 CONTINUE
  975. *
  976. 100 CONTINUE
  977. *
  978. * Report result.
  979. *
  980. IF( ERRMAX.LT.THRESH )THEN
  981. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  982. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  983. ELSE
  984. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  985. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  986. END IF
  987. GO TO 120
  988. *
  989. 110 CONTINUE
  990. WRITE( NOUT, FMT = 9996 )SNAME
  991. CALL SPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA,
  992. $ LDB, BETA, LDC)
  993. *
  994. 120 CONTINUE
  995. RETURN
  996. *
  997. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  998. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  999. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1000. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1001. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1002. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1003. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1004. $ ' (', I6, ' CALL', 'S)' )
  1005. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1006. $ ' (', I6, ' CALL', 'S)' )
  1007. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1008. $ 'ANGED INCORRECTLY *******' )
  1009. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  1010. 9995 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1011. $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ',
  1012. $ ' .' )
  1013. 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1014. $ '******' )
  1015. *
  1016. * End of SCHK2.
  1017. *
  1018. END
  1019. *
  1020. SUBROUTINE SPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N,
  1021. $ ALPHA, LDA, LDB, BETA, LDC)
  1022. INTEGER NOUT, NC, IORDER, M, N, LDA, LDB, LDC
  1023. REAL ALPHA, BETA
  1024. CHARACTER*1 SIDE, UPLO
  1025. CHARACTER*12 SNAME
  1026. CHARACTER*14 CRC, CS,CU
  1027. IF (SIDE.EQ.'L')THEN
  1028. CS = ' CblasLeft'
  1029. ELSE
  1030. CS = ' CblasRight'
  1031. END IF
  1032. IF (UPLO.EQ.'U')THEN
  1033. CU = ' CblasUpper'
  1034. ELSE
  1035. CU = ' CblasLower'
  1036. END IF
  1037. IF (IORDER.EQ.1)THEN
  1038. CRC = ' CblasRowMajor'
  1039. ELSE
  1040. CRC = ' CblasColMajor'
  1041. END IF
  1042. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
  1043. WRITE(NOUT, FMT = 9994)M, N, ALPHA, LDA, LDB, BETA, LDC
  1044. 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
  1045. 9994 FORMAT( 20X, 2( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',',
  1046. $ F4.1, ', ', 'C,', I3, ').' )
  1047. END
  1048. *
  1049. SUBROUTINE SCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1050. $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS,
  1051. $ B, BB, BS, CT, G, C, IORDER )
  1052. *
  1053. * Tests STRMM and STRSM.
  1054. *
  1055. * Auxiliary routine for test program for Level 3 Blas.
  1056. *
  1057. * -- Written on 8-February-1989.
  1058. * Jack Dongarra, Argonne National Laboratory.
  1059. * Iain Duff, AERE Harwell.
  1060. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1061. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1062. *
  1063. * .. Parameters ..
  1064. REAL ZERO, ONE
  1065. PARAMETER ( ZERO = 0.0, ONE = 1.0 )
  1066. * .. Scalar Arguments ..
  1067. REAL EPS, THRESH
  1068. INTEGER NALF, NIDIM, NMAX, NOUT, NTRA, IORDER
  1069. LOGICAL FATAL, REWI, TRACE
  1070. CHARACTER*12 SNAME
  1071. * .. Array Arguments ..
  1072. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1073. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  1074. $ BB( NMAX*NMAX ), BS( NMAX*NMAX ),
  1075. $ C( NMAX, NMAX ), CT( NMAX ), G( NMAX )
  1076. INTEGER IDIM( NIDIM )
  1077. * .. Local Scalars ..
  1078. REAL ALPHA, ALS, ERR, ERRMAX
  1079. INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB,
  1080. $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC,
  1081. $ NS
  1082. LOGICAL LEFT, NULL, RESET, SAME
  1083. CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO,
  1084. $ UPLOS
  1085. CHARACTER*2 ICHD, ICHS, ICHU
  1086. CHARACTER*3 ICHT
  1087. * .. Local Arrays ..
  1088. LOGICAL ISAME( 13 )
  1089. * .. External Functions ..
  1090. LOGICAL LSE, LSERES
  1091. EXTERNAL LSE, LSERES
  1092. * .. External Subroutines ..
  1093. EXTERNAL SMAKE, SMMCH, CSTRMM, CSTRSM
  1094. * .. Intrinsic Functions ..
  1095. INTRINSIC MAX
  1096. * .. Scalars in Common ..
  1097. INTEGER INFOT, NOUTC
  1098. LOGICAL OK
  1099. * .. Common blocks ..
  1100. COMMON /INFOC/INFOT, NOUTC, OK
  1101. * .. Data statements ..
  1102. DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/
  1103. * .. Executable Statements ..
  1104. *
  1105. NARGS = 11
  1106. NC = 0
  1107. RESET = .TRUE.
  1108. ERRMAX = ZERO
  1109. * Set up zero matrix for SMMCH.
  1110. DO 20 J = 1, NMAX
  1111. DO 10 I = 1, NMAX
  1112. C( I, J ) = ZERO
  1113. 10 CONTINUE
  1114. 20 CONTINUE
  1115. *
  1116. DO 140 IM = 1, NIDIM
  1117. M = IDIM( IM )
  1118. *
  1119. DO 130 IN = 1, NIDIM
  1120. N = IDIM( IN )
  1121. * Set LDB to 1 more than minimum value if room.
  1122. LDB = M
  1123. IF( LDB.LT.NMAX )
  1124. $ LDB = LDB + 1
  1125. * Skip tests if not enough room.
  1126. IF( LDB.GT.NMAX )
  1127. $ GO TO 130
  1128. LBB = LDB*N
  1129. NULL = M.LE.0.OR.N.LE.0
  1130. *
  1131. DO 120 ICS = 1, 2
  1132. SIDE = ICHS( ICS: ICS )
  1133. LEFT = SIDE.EQ.'L'
  1134. IF( LEFT )THEN
  1135. NA = M
  1136. ELSE
  1137. NA = N
  1138. END IF
  1139. * Set LDA to 1 more than minimum value if room.
  1140. LDA = NA
  1141. IF( LDA.LT.NMAX )
  1142. $ LDA = LDA + 1
  1143. * Skip tests if not enough room.
  1144. IF( LDA.GT.NMAX )
  1145. $ GO TO 130
  1146. LAA = LDA*NA
  1147. *
  1148. DO 110 ICU = 1, 2
  1149. UPLO = ICHU( ICU: ICU )
  1150. *
  1151. DO 100 ICT = 1, 3
  1152. TRANSA = ICHT( ICT: ICT )
  1153. *
  1154. DO 90 ICD = 1, 2
  1155. DIAG = ICHD( ICD: ICD )
  1156. *
  1157. DO 80 IA = 1, NALF
  1158. ALPHA = ALF( IA )
  1159. *
  1160. * Generate the matrix A.
  1161. *
  1162. CALL SMAKE( 'TR', UPLO, DIAG, NA, NA, A,
  1163. $ NMAX, AA, LDA, RESET, ZERO )
  1164. *
  1165. * Generate the matrix B.
  1166. *
  1167. CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX,
  1168. $ BB, LDB, RESET, ZERO )
  1169. *
  1170. NC = NC + 1
  1171. *
  1172. * Save every datum before calling the
  1173. * subroutine.
  1174. *
  1175. SIDES = SIDE
  1176. UPLOS = UPLO
  1177. TRANAS = TRANSA
  1178. DIAGS = DIAG
  1179. MS = M
  1180. NS = N
  1181. ALS = ALPHA
  1182. DO 30 I = 1, LAA
  1183. AS( I ) = AA( I )
  1184. 30 CONTINUE
  1185. LDAS = LDA
  1186. DO 40 I = 1, LBB
  1187. BS( I ) = BB( I )
  1188. 40 CONTINUE
  1189. LDBS = LDB
  1190. *
  1191. * Call the subroutine.
  1192. *
  1193. IF( SNAME( 10: 11 ).EQ.'mm' )THEN
  1194. IF( TRACE )
  1195. $ CALL SPRCN3( NTRA, NC, SNAME, IORDER,
  1196. $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
  1197. $ LDA, LDB)
  1198. IF( REWI )
  1199. $ REWIND NTRA
  1200. CALL CSTRMM( IORDER, SIDE, UPLO, TRANSA,
  1201. $ DIAG, M, N, ALPHA, AA, LDA,
  1202. $ BB, LDB )
  1203. ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
  1204. IF( TRACE )
  1205. $ CALL SPRCN3( NTRA, NC, SNAME, IORDER,
  1206. $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
  1207. $ LDA, LDB)
  1208. IF( REWI )
  1209. $ REWIND NTRA
  1210. CALL CSTRSM( IORDER, SIDE, UPLO, TRANSA,
  1211. $ DIAG, M, N, ALPHA, AA, LDA,
  1212. $ BB, LDB )
  1213. END IF
  1214. *
  1215. * Check if error-exit was taken incorrectly.
  1216. *
  1217. IF( .NOT.OK )THEN
  1218. WRITE( NOUT, FMT = 9994 )
  1219. FATAL = .TRUE.
  1220. GO TO 150
  1221. END IF
  1222. *
  1223. * See what data changed inside subroutines.
  1224. *
  1225. ISAME( 1 ) = SIDES.EQ.SIDE
  1226. ISAME( 2 ) = UPLOS.EQ.UPLO
  1227. ISAME( 3 ) = TRANAS.EQ.TRANSA
  1228. ISAME( 4 ) = DIAGS.EQ.DIAG
  1229. ISAME( 5 ) = MS.EQ.M
  1230. ISAME( 6 ) = NS.EQ.N
  1231. ISAME( 7 ) = ALS.EQ.ALPHA
  1232. ISAME( 8 ) = LSE( AS, AA, LAA )
  1233. ISAME( 9 ) = LDAS.EQ.LDA
  1234. IF( NULL )THEN
  1235. ISAME( 10 ) = LSE( BS, BB, LBB )
  1236. ELSE
  1237. ISAME( 10 ) = LSERES( 'GE', ' ', M, N, BS,
  1238. $ BB, LDB )
  1239. END IF
  1240. ISAME( 11 ) = LDBS.EQ.LDB
  1241. *
  1242. * If data was incorrectly changed, report and
  1243. * return.
  1244. *
  1245. SAME = .TRUE.
  1246. DO 50 I = 1, NARGS
  1247. SAME = SAME.AND.ISAME( I )
  1248. IF( .NOT.ISAME( I ) )
  1249. $ WRITE( NOUT, FMT = 9998 )I+1
  1250. 50 CONTINUE
  1251. IF( .NOT.SAME )THEN
  1252. FATAL = .TRUE.
  1253. GO TO 150
  1254. END IF
  1255. *
  1256. IF( .NOT.NULL )THEN
  1257. IF( SNAME( 10: 11 ).EQ.'mm' )THEN
  1258. *
  1259. * Check the result.
  1260. *
  1261. IF( LEFT )THEN
  1262. CALL SMMCH( TRANSA, 'N', M, N, M,
  1263. $ ALPHA, A, NMAX, B, NMAX,
  1264. $ ZERO, C, NMAX, CT, G,
  1265. $ BB, LDB, EPS, ERR,
  1266. $ FATAL, NOUT, .TRUE. )
  1267. ELSE
  1268. CALL SMMCH( 'N', TRANSA, M, N, N,
  1269. $ ALPHA, B, NMAX, A, NMAX,
  1270. $ ZERO, C, NMAX, CT, G,
  1271. $ BB, LDB, EPS, ERR,
  1272. $ FATAL, NOUT, .TRUE. )
  1273. END IF
  1274. ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
  1275. *
  1276. * Compute approximation to original
  1277. * matrix.
  1278. *
  1279. DO 70 J = 1, N
  1280. DO 60 I = 1, M
  1281. C( I, J ) = BB( I + ( J - 1 )*
  1282. $ LDB )
  1283. BB( I + ( J - 1 )*LDB ) = ALPHA*
  1284. $ B( I, J )
  1285. 60 CONTINUE
  1286. 70 CONTINUE
  1287. *
  1288. IF( LEFT )THEN
  1289. CALL SMMCH( TRANSA, 'N', M, N, M,
  1290. $ ONE, A, NMAX, C, NMAX,
  1291. $ ZERO, B, NMAX, CT, G,
  1292. $ BB, LDB, EPS, ERR,
  1293. $ FATAL, NOUT, .FALSE. )
  1294. ELSE
  1295. CALL SMMCH( 'N', TRANSA, M, N, N,
  1296. $ ONE, C, NMAX, A, NMAX,
  1297. $ ZERO, B, NMAX, CT, G,
  1298. $ BB, LDB, EPS, ERR,
  1299. $ FATAL, NOUT, .FALSE. )
  1300. END IF
  1301. END IF
  1302. ERRMAX = MAX( ERRMAX, ERR )
  1303. * If got really bad answer, report and
  1304. * return.
  1305. IF( FATAL )
  1306. $ GO TO 150
  1307. END IF
  1308. *
  1309. 80 CONTINUE
  1310. *
  1311. 90 CONTINUE
  1312. *
  1313. 100 CONTINUE
  1314. *
  1315. 110 CONTINUE
  1316. *
  1317. 120 CONTINUE
  1318. *
  1319. 130 CONTINUE
  1320. *
  1321. 140 CONTINUE
  1322. *
  1323. * Report result.
  1324. *
  1325. IF( ERRMAX.LT.THRESH )THEN
  1326. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1327. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1328. ELSE
  1329. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1330. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1331. END IF
  1332. GO TO 160
  1333. *
  1334. 150 CONTINUE
  1335. WRITE( NOUT, FMT = 9996 )SNAME
  1336. CALL SPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG,
  1337. $ M, N, ALPHA, LDA, LDB)
  1338. *
  1339. 160 CONTINUE
  1340. RETURN
  1341. *
  1342. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1343. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1344. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1345. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1346. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1347. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1348. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1349. $ ' (', I6, ' CALL', 'S)' )
  1350. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1351. $ ' (', I6, ' CALL', 'S)' )
  1352. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1353. $ 'ANGED INCORRECTLY *******' )
  1354. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  1355. 9995 FORMAT( 1X, I6, ': ', A12,'(', 4( '''', A1, ''',' ), 2( I3, ',' ),
  1356. $ F4.1, ', A,', I3, ', B,', I3, ') .' )
  1357. 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1358. $ '******' )
  1359. *
  1360. * End of SCHK3.
  1361. *
  1362. END
  1363. *
  1364. SUBROUTINE SPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA,
  1365. $ DIAG, M, N, ALPHA, LDA, LDB)
  1366. INTEGER NOUT, NC, IORDER, M, N, LDA, LDB
  1367. REAL ALPHA
  1368. CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
  1369. CHARACTER*12 SNAME
  1370. CHARACTER*14 CRC, CS, CU, CA, CD
  1371. IF (SIDE.EQ.'L')THEN
  1372. CS = ' CblasLeft'
  1373. ELSE
  1374. CS = ' CblasRight'
  1375. END IF
  1376. IF (UPLO.EQ.'U')THEN
  1377. CU = ' CblasUpper'
  1378. ELSE
  1379. CU = ' CblasLower'
  1380. END IF
  1381. IF (TRANSA.EQ.'N')THEN
  1382. CA = ' CblasNoTrans'
  1383. ELSE IF (TRANSA.EQ.'T')THEN
  1384. CA = ' CblasTrans'
  1385. ELSE
  1386. CA = 'CblasConjTrans'
  1387. END IF
  1388. IF (DIAG.EQ.'N')THEN
  1389. CD = ' CblasNonUnit'
  1390. ELSE
  1391. CD = ' CblasUnit'
  1392. END IF
  1393. IF (IORDER.EQ.1)THEN
  1394. CRC = 'CblasRowMajor'
  1395. ELSE
  1396. CRC = 'CblasColMajor'
  1397. END IF
  1398. WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
  1399. WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB
  1400. 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',')
  1401. 9994 FORMAT( 22X, 2( A14, ',') , 2( I3, ',' ),
  1402. $ F4.1, ', A,', I3, ', B,', I3, ').' )
  1403. END
  1404. *
  1405. SUBROUTINE SCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1406. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  1407. $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G,
  1408. $ IORDER )
  1409. *
  1410. * Tests SSYRK.
  1411. *
  1412. * Auxiliary routine for test program for Level 3 Blas.
  1413. *
  1414. * -- Written on 8-February-1989.
  1415. * Jack Dongarra, Argonne National Laboratory.
  1416. * Iain Duff, AERE Harwell.
  1417. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1418. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1419. *
  1420. * .. Parameters ..
  1421. REAL ZERO
  1422. PARAMETER ( ZERO = 0.0 )
  1423. * .. Scalar Arguments ..
  1424. REAL EPS, THRESH
  1425. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  1426. LOGICAL FATAL, REWI, TRACE
  1427. CHARACTER*12 SNAME
  1428. * .. Array Arguments ..
  1429. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1430. $ AS( NMAX*NMAX ), B( NMAX, NMAX ),
  1431. $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
  1432. $ C( NMAX, NMAX ), CC( NMAX*NMAX ),
  1433. $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX )
  1434. INTEGER IDIM( NIDIM )
  1435. * .. Local Scalars ..
  1436. REAL ALPHA, ALS, BETA, BETS, ERR, ERRMAX
  1437. INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS,
  1438. $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA,
  1439. $ NARGS, NC, NS
  1440. LOGICAL NULL, RESET, SAME, TRAN, UPPER
  1441. CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS
  1442. CHARACTER*2 ICHU
  1443. CHARACTER*3 ICHT
  1444. * .. Local Arrays ..
  1445. LOGICAL ISAME( 13 )
  1446. * .. External Functions ..
  1447. LOGICAL LSE, LSERES
  1448. EXTERNAL LSE, LSERES
  1449. * .. External Subroutines ..
  1450. EXTERNAL SMAKE, SMMCH, CSSYRK
  1451. * .. Intrinsic Functions ..
  1452. INTRINSIC MAX
  1453. * .. Scalars in Common ..
  1454. INTEGER INFOT, NOUTC
  1455. LOGICAL OK
  1456. * .. Common blocks ..
  1457. COMMON /INFOC/INFOT, NOUTC, OK
  1458. * .. Data statements ..
  1459. DATA ICHT/'NTC'/, ICHU/'UL'/
  1460. * .. Executable Statements ..
  1461. *
  1462. NARGS = 10
  1463. NC = 0
  1464. RESET = .TRUE.
  1465. ERRMAX = ZERO
  1466. *
  1467. DO 100 IN = 1, NIDIM
  1468. N = IDIM( IN )
  1469. * Set LDC to 1 more than minimum value if room.
  1470. LDC = N
  1471. IF( LDC.LT.NMAX )
  1472. $ LDC = LDC + 1
  1473. * Skip tests if not enough room.
  1474. IF( LDC.GT.NMAX )
  1475. $ GO TO 100
  1476. LCC = LDC*N
  1477. NULL = N.LE.0
  1478. *
  1479. DO 90 IK = 1, NIDIM
  1480. K = IDIM( IK )
  1481. *
  1482. DO 80 ICT = 1, 3
  1483. TRANS = ICHT( ICT: ICT )
  1484. TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
  1485. IF( TRAN )THEN
  1486. MA = K
  1487. NA = N
  1488. ELSE
  1489. MA = N
  1490. NA = K
  1491. END IF
  1492. * Set LDA to 1 more than minimum value if room.
  1493. LDA = MA
  1494. IF( LDA.LT.NMAX )
  1495. $ LDA = LDA + 1
  1496. * Skip tests if not enough room.
  1497. IF( LDA.GT.NMAX )
  1498. $ GO TO 80
  1499. LAA = LDA*NA
  1500. *
  1501. * Generate the matrix A.
  1502. *
  1503. CALL SMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA,
  1504. $ RESET, ZERO )
  1505. *
  1506. DO 70 ICU = 1, 2
  1507. UPLO = ICHU( ICU: ICU )
  1508. UPPER = UPLO.EQ.'U'
  1509. *
  1510. DO 60 IA = 1, NALF
  1511. ALPHA = ALF( IA )
  1512. *
  1513. DO 50 IB = 1, NBET
  1514. BETA = BET( IB )
  1515. *
  1516. * Generate the matrix C.
  1517. *
  1518. CALL SMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC,
  1519. $ LDC, RESET, ZERO )
  1520. *
  1521. NC = NC + 1
  1522. *
  1523. * Save every datum before calling the subroutine.
  1524. *
  1525. UPLOS = UPLO
  1526. TRANSS = TRANS
  1527. NS = N
  1528. KS = K
  1529. ALS = ALPHA
  1530. DO 10 I = 1, LAA
  1531. AS( I ) = AA( I )
  1532. 10 CONTINUE
  1533. LDAS = LDA
  1534. BETS = BETA
  1535. DO 20 I = 1, LCC
  1536. CS( I ) = CC( I )
  1537. 20 CONTINUE
  1538. LDCS = LDC
  1539. *
  1540. * Call the subroutine.
  1541. *
  1542. IF( TRACE )
  1543. $ CALL SPRCN4( NTRA, NC, SNAME, IORDER, UPLO,
  1544. $ TRANS, N, K, ALPHA, LDA, BETA, LDC)
  1545. IF( REWI )
  1546. $ REWIND NTRA
  1547. CALL CSSYRK( IORDER, UPLO, TRANS, N, K, ALPHA,
  1548. $ AA, LDA, BETA, CC, LDC )
  1549. *
  1550. * Check if error-exit was taken incorrectly.
  1551. *
  1552. IF( .NOT.OK )THEN
  1553. WRITE( NOUT, FMT = 9993 )
  1554. FATAL = .TRUE.
  1555. GO TO 120
  1556. END IF
  1557. *
  1558. * See what data changed inside subroutines.
  1559. *
  1560. ISAME( 1 ) = UPLOS.EQ.UPLO
  1561. ISAME( 2 ) = TRANSS.EQ.TRANS
  1562. ISAME( 3 ) = NS.EQ.N
  1563. ISAME( 4 ) = KS.EQ.K
  1564. ISAME( 5 ) = ALS.EQ.ALPHA
  1565. ISAME( 6 ) = LSE( AS, AA, LAA )
  1566. ISAME( 7 ) = LDAS.EQ.LDA
  1567. ISAME( 8 ) = BETS.EQ.BETA
  1568. IF( NULL )THEN
  1569. ISAME( 9 ) = LSE( CS, CC, LCC )
  1570. ELSE
  1571. ISAME( 9 ) = LSERES( 'SY', UPLO, N, N, CS,
  1572. $ CC, LDC )
  1573. END IF
  1574. ISAME( 10 ) = LDCS.EQ.LDC
  1575. *
  1576. * If data was incorrectly changed, report and
  1577. * return.
  1578. *
  1579. SAME = .TRUE.
  1580. DO 30 I = 1, NARGS
  1581. SAME = SAME.AND.ISAME( I )
  1582. IF( .NOT.ISAME( I ) )
  1583. $ WRITE( NOUT, FMT = 9998 )I+1
  1584. 30 CONTINUE
  1585. IF( .NOT.SAME )THEN
  1586. FATAL = .TRUE.
  1587. GO TO 120
  1588. END IF
  1589. *
  1590. IF( .NOT.NULL )THEN
  1591. *
  1592. * Check the result column by column.
  1593. *
  1594. JC = 1
  1595. DO 40 J = 1, N
  1596. IF( UPPER )THEN
  1597. JJ = 1
  1598. LJ = J
  1599. ELSE
  1600. JJ = J
  1601. LJ = N - J + 1
  1602. END IF
  1603. IF( TRAN )THEN
  1604. CALL SMMCH( 'T', 'N', LJ, 1, K, ALPHA,
  1605. $ A( 1, JJ ), NMAX,
  1606. $ A( 1, J ), NMAX, BETA,
  1607. $ C( JJ, J ), NMAX, CT, G,
  1608. $ CC( JC ), LDC, EPS, ERR,
  1609. $ FATAL, NOUT, .TRUE. )
  1610. ELSE
  1611. CALL SMMCH( 'N', 'T', LJ, 1, K, ALPHA,
  1612. $ A( JJ, 1 ), NMAX,
  1613. $ A( J, 1 ), NMAX, BETA,
  1614. $ C( JJ, J ), NMAX, CT, G,
  1615. $ CC( JC ), LDC, EPS, ERR,
  1616. $ FATAL, NOUT, .TRUE. )
  1617. END IF
  1618. IF( UPPER )THEN
  1619. JC = JC + LDC
  1620. ELSE
  1621. JC = JC + LDC + 1
  1622. END IF
  1623. ERRMAX = MAX( ERRMAX, ERR )
  1624. * If got really bad answer, report and
  1625. * return.
  1626. IF( FATAL )
  1627. $ GO TO 110
  1628. 40 CONTINUE
  1629. END IF
  1630. *
  1631. 50 CONTINUE
  1632. *
  1633. 60 CONTINUE
  1634. *
  1635. 70 CONTINUE
  1636. *
  1637. 80 CONTINUE
  1638. *
  1639. 90 CONTINUE
  1640. *
  1641. 100 CONTINUE
  1642. *
  1643. * Report result.
  1644. *
  1645. IF( ERRMAX.LT.THRESH )THEN
  1646. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1647. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1648. ELSE
  1649. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1650. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1651. END IF
  1652. GO TO 130
  1653. *
  1654. 110 CONTINUE
  1655. IF( N.GT.1 )
  1656. $ WRITE( NOUT, FMT = 9995 )J
  1657. *
  1658. 120 CONTINUE
  1659. WRITE( NOUT, FMT = 9996 )SNAME
  1660. CALL SPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
  1661. $ LDA, BETA, LDC)
  1662. *
  1663. 130 CONTINUE
  1664. RETURN
  1665. *
  1666. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1667. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1668. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1669. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1670. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1671. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1672. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1673. $ ' (', I6, ' CALL', 'S)' )
  1674. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1675. $ ' (', I6, ' CALL', 'S)' )
  1676. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1677. $ 'ANGED INCORRECTLY *******' )
  1678. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  1679. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  1680. 9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  1681. $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') .' )
  1682. 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1683. $ '******' )
  1684. *
  1685. * End of SCHK4.
  1686. *
  1687. END
  1688. *
  1689. SUBROUTINE SPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  1690. $ N, K, ALPHA, LDA, BETA, LDC)
  1691. INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
  1692. REAL ALPHA, BETA
  1693. CHARACTER*1 UPLO, TRANSA
  1694. CHARACTER*12 SNAME
  1695. CHARACTER*14 CRC, CU, CA
  1696. IF (UPLO.EQ.'U')THEN
  1697. CU = ' CblasUpper'
  1698. ELSE
  1699. CU = ' CblasLower'
  1700. END IF
  1701. IF (TRANSA.EQ.'N')THEN
  1702. CA = ' CblasNoTrans'
  1703. ELSE IF (TRANSA.EQ.'T')THEN
  1704. CA = ' CblasTrans'
  1705. ELSE
  1706. CA = 'CblasConjTrans'
  1707. END IF
  1708. IF (IORDER.EQ.1)THEN
  1709. CRC = ' CblasRowMajor'
  1710. ELSE
  1711. CRC = ' CblasColMajor'
  1712. END IF
  1713. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  1714. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
  1715. 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') )
  1716. 9994 FORMAT( 20X, 2( I3, ',' ),
  1717. $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' )
  1718. END
  1719. *
  1720. SUBROUTINE SCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1721. $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
  1722. $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W,
  1723. $ IORDER )
  1724. *
  1725. * Tests SSYR2K.
  1726. *
  1727. * Auxiliary routine for test program for Level 3 Blas.
  1728. *
  1729. * -- Written on 8-February-1989.
  1730. * Jack Dongarra, Argonne National Laboratory.
  1731. * Iain Duff, AERE Harwell.
  1732. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  1733. * Sven Hammarling, Numerical Algorithms Group Ltd.
  1734. *
  1735. * .. Parameters ..
  1736. REAL ZERO
  1737. PARAMETER ( ZERO = 0.0 )
  1738. * .. Scalar Arguments ..
  1739. REAL EPS, THRESH
  1740. INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
  1741. LOGICAL FATAL, REWI, TRACE
  1742. CHARACTER*12 SNAME
  1743. * .. Array Arguments ..
  1744. REAL AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ),
  1745. $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ),
  1746. $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ),
  1747. $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
  1748. $ G( NMAX ), W( 2*NMAX )
  1749. INTEGER IDIM( NIDIM )
  1750. * .. Local Scalars ..
  1751. REAL ALPHA, ALS, BETA, BETS, ERR, ERRMAX
  1752. INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB,
  1753. $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS,
  1754. $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS
  1755. LOGICAL NULL, RESET, SAME, TRAN, UPPER
  1756. CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS
  1757. CHARACTER*2 ICHU
  1758. CHARACTER*3 ICHT
  1759. * .. Local Arrays ..
  1760. LOGICAL ISAME( 13 )
  1761. * .. External Functions ..
  1762. LOGICAL LSE, LSERES
  1763. EXTERNAL LSE, LSERES
  1764. * .. External Subroutines ..
  1765. EXTERNAL SMAKE, SMMCH, CSSYR2K
  1766. * .. Intrinsic Functions ..
  1767. INTRINSIC MAX
  1768. * .. Scalars in Common ..
  1769. INTEGER INFOT, NOUTC
  1770. LOGICAL OK
  1771. * .. Common blocks ..
  1772. COMMON /INFOC/INFOT, NOUTC, OK
  1773. * .. Data statements ..
  1774. DATA ICHT/'NTC'/, ICHU/'UL'/
  1775. * .. Executable Statements ..
  1776. *
  1777. NARGS = 12
  1778. NC = 0
  1779. RESET = .TRUE.
  1780. ERRMAX = ZERO
  1781. *
  1782. DO 130 IN = 1, NIDIM
  1783. N = IDIM( IN )
  1784. * Set LDC to 1 more than minimum value if room.
  1785. LDC = N
  1786. IF( LDC.LT.NMAX )
  1787. $ LDC = LDC + 1
  1788. * Skip tests if not enough room.
  1789. IF( LDC.GT.NMAX )
  1790. $ GO TO 130
  1791. LCC = LDC*N
  1792. NULL = N.LE.0
  1793. *
  1794. DO 120 IK = 1, NIDIM
  1795. K = IDIM( IK )
  1796. *
  1797. DO 110 ICT = 1, 3
  1798. TRANS = ICHT( ICT: ICT )
  1799. TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
  1800. IF( TRAN )THEN
  1801. MA = K
  1802. NA = N
  1803. ELSE
  1804. MA = N
  1805. NA = K
  1806. END IF
  1807. * Set LDA to 1 more than minimum value if room.
  1808. LDA = MA
  1809. IF( LDA.LT.NMAX )
  1810. $ LDA = LDA + 1
  1811. * Skip tests if not enough room.
  1812. IF( LDA.GT.NMAX )
  1813. $ GO TO 110
  1814. LAA = LDA*NA
  1815. *
  1816. * Generate the matrix A.
  1817. *
  1818. IF( TRAN )THEN
  1819. CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA,
  1820. $ LDA, RESET, ZERO )
  1821. ELSE
  1822. CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA,
  1823. $ RESET, ZERO )
  1824. END IF
  1825. *
  1826. * Generate the matrix B.
  1827. *
  1828. LDB = LDA
  1829. LBB = LAA
  1830. IF( TRAN )THEN
  1831. CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ),
  1832. $ 2*NMAX, BB, LDB, RESET, ZERO )
  1833. ELSE
  1834. CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ),
  1835. $ NMAX, BB, LDB, RESET, ZERO )
  1836. END IF
  1837. *
  1838. DO 100 ICU = 1, 2
  1839. UPLO = ICHU( ICU: ICU )
  1840. UPPER = UPLO.EQ.'U'
  1841. *
  1842. DO 90 IA = 1, NALF
  1843. ALPHA = ALF( IA )
  1844. *
  1845. DO 80 IB = 1, NBET
  1846. BETA = BET( IB )
  1847. *
  1848. * Generate the matrix C.
  1849. *
  1850. CALL SMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC,
  1851. $ LDC, RESET, ZERO )
  1852. *
  1853. NC = NC + 1
  1854. *
  1855. * Save every datum before calling the subroutine.
  1856. *
  1857. UPLOS = UPLO
  1858. TRANSS = TRANS
  1859. NS = N
  1860. KS = K
  1861. ALS = ALPHA
  1862. DO 10 I = 1, LAA
  1863. AS( I ) = AA( I )
  1864. 10 CONTINUE
  1865. LDAS = LDA
  1866. DO 20 I = 1, LBB
  1867. BS( I ) = BB( I )
  1868. 20 CONTINUE
  1869. LDBS = LDB
  1870. BETS = BETA
  1871. DO 30 I = 1, LCC
  1872. CS( I ) = CC( I )
  1873. 30 CONTINUE
  1874. LDCS = LDC
  1875. *
  1876. * Call the subroutine.
  1877. *
  1878. IF( TRACE )
  1879. $ CALL SPRCN5( NTRA, NC, SNAME, IORDER, UPLO,
  1880. $ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC)
  1881. IF( REWI )
  1882. $ REWIND NTRA
  1883. CALL CSSYR2K( IORDER, UPLO, TRANS, N, K, ALPHA,
  1884. $ AA, LDA, BB, LDB, BETA, CC, LDC )
  1885. *
  1886. * Check if error-exit was taken incorrectly.
  1887. *
  1888. IF( .NOT.OK )THEN
  1889. WRITE( NOUT, FMT = 9993 )
  1890. FATAL = .TRUE.
  1891. GO TO 150
  1892. END IF
  1893. *
  1894. * See what data changed inside subroutines.
  1895. *
  1896. ISAME( 1 ) = UPLOS.EQ.UPLO
  1897. ISAME( 2 ) = TRANSS.EQ.TRANS
  1898. ISAME( 3 ) = NS.EQ.N
  1899. ISAME( 4 ) = KS.EQ.K
  1900. ISAME( 5 ) = ALS.EQ.ALPHA
  1901. ISAME( 6 ) = LSE( AS, AA, LAA )
  1902. ISAME( 7 ) = LDAS.EQ.LDA
  1903. ISAME( 8 ) = LSE( BS, BB, LBB )
  1904. ISAME( 9 ) = LDBS.EQ.LDB
  1905. ISAME( 10 ) = BETS.EQ.BETA
  1906. IF( NULL )THEN
  1907. ISAME( 11 ) = LSE( CS, CC, LCC )
  1908. ELSE
  1909. ISAME( 11 ) = LSERES( 'SY', UPLO, N, N, CS,
  1910. $ CC, LDC )
  1911. END IF
  1912. ISAME( 12 ) = LDCS.EQ.LDC
  1913. *
  1914. * If data was incorrectly changed, report and
  1915. * return.
  1916. *
  1917. SAME = .TRUE.
  1918. DO 40 I = 1, NARGS
  1919. SAME = SAME.AND.ISAME( I )
  1920. IF( .NOT.ISAME( I ) )
  1921. $ WRITE( NOUT, FMT = 9998 )I+1
  1922. 40 CONTINUE
  1923. IF( .NOT.SAME )THEN
  1924. FATAL = .TRUE.
  1925. GO TO 150
  1926. END IF
  1927. *
  1928. IF( .NOT.NULL )THEN
  1929. *
  1930. * Check the result column by column.
  1931. *
  1932. JJAB = 1
  1933. JC = 1
  1934. DO 70 J = 1, N
  1935. IF( UPPER )THEN
  1936. JJ = 1
  1937. LJ = J
  1938. ELSE
  1939. JJ = J
  1940. LJ = N - J + 1
  1941. END IF
  1942. IF( TRAN )THEN
  1943. DO 50 I = 1, K
  1944. W( I ) = AB( ( J - 1 )*2*NMAX + K +
  1945. $ I )
  1946. W( K + I ) = AB( ( J - 1 )*2*NMAX +
  1947. $ I )
  1948. 50 CONTINUE
  1949. CALL SMMCH( 'T', 'N', LJ, 1, 2*K,
  1950. $ ALPHA, AB( JJAB ), 2*NMAX,
  1951. $ W, 2*NMAX, BETA,
  1952. $ C( JJ, J ), NMAX, CT, G,
  1953. $ CC( JC ), LDC, EPS, ERR,
  1954. $ FATAL, NOUT, .TRUE. )
  1955. ELSE
  1956. DO 60 I = 1, K
  1957. W( I ) = AB( ( K + I - 1 )*NMAX +
  1958. $ J )
  1959. W( K + I ) = AB( ( I - 1 )*NMAX +
  1960. $ J )
  1961. 60 CONTINUE
  1962. CALL SMMCH( 'N', 'N', LJ, 1, 2*K,
  1963. $ ALPHA, AB( JJ ), NMAX, W,
  1964. $ 2*NMAX, BETA, C( JJ, J ),
  1965. $ NMAX, CT, G, CC( JC ), LDC,
  1966. $ EPS, ERR, FATAL, NOUT,
  1967. $ .TRUE. )
  1968. END IF
  1969. IF( UPPER )THEN
  1970. JC = JC + LDC
  1971. ELSE
  1972. JC = JC + LDC + 1
  1973. IF( TRAN )
  1974. $ JJAB = JJAB + 2*NMAX
  1975. END IF
  1976. ERRMAX = MAX( ERRMAX, ERR )
  1977. * If got really bad answer, report and
  1978. * return.
  1979. IF( FATAL )
  1980. $ GO TO 140
  1981. 70 CONTINUE
  1982. END IF
  1983. *
  1984. 80 CONTINUE
  1985. *
  1986. 90 CONTINUE
  1987. *
  1988. 100 CONTINUE
  1989. *
  1990. 110 CONTINUE
  1991. *
  1992. 120 CONTINUE
  1993. *
  1994. 130 CONTINUE
  1995. *
  1996. * Report result.
  1997. *
  1998. IF( ERRMAX.LT.THRESH )THEN
  1999. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  2000. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  2001. ELSE
  2002. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  2003. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  2004. END IF
  2005. GO TO 160
  2006. *
  2007. 140 CONTINUE
  2008. IF( N.GT.1 )
  2009. $ WRITE( NOUT, FMT = 9995 )J
  2010. *
  2011. 150 CONTINUE
  2012. WRITE( NOUT, FMT = 9996 )SNAME
  2013. CALL SPRCN5( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
  2014. $ LDA, LDB, BETA, LDC)
  2015. *
  2016. 160 CONTINUE
  2017. RETURN
  2018. *
  2019. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  2020. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2021. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2022. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  2023. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2024. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2025. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  2026. $ ' (', I6, ' CALL', 'S)' )
  2027. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  2028. $ ' (', I6, ' CALL', 'S)' )
  2029. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  2030. $ 'ANGED INCORRECTLY *******' )
  2031. 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' )
  2032. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2033. 9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
  2034. $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ',
  2035. $ ' .' )
  2036. 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  2037. $ '******' )
  2038. *
  2039. * End of SCHK5.
  2040. *
  2041. END
  2042. *
  2043. SUBROUTINE SPRCN5(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
  2044. $ N, K, ALPHA, LDA, LDB, BETA, LDC)
  2045. INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
  2046. REAL ALPHA, BETA
  2047. CHARACTER*1 UPLO, TRANSA
  2048. CHARACTER*12 SNAME
  2049. CHARACTER*14 CRC, CU, CA
  2050. IF (UPLO.EQ.'U')THEN
  2051. CU = ' CblasUpper'
  2052. ELSE
  2053. CU = ' CblasLower'
  2054. END IF
  2055. IF (TRANSA.EQ.'N')THEN
  2056. CA = ' CblasNoTrans'
  2057. ELSE IF (TRANSA.EQ.'T')THEN
  2058. CA = ' CblasTrans'
  2059. ELSE
  2060. CA = 'CblasConjTrans'
  2061. END IF
  2062. IF (IORDER.EQ.1)THEN
  2063. CRC = ' CblasRowMajor'
  2064. ELSE
  2065. CRC = ' CblasColMajor'
  2066. END IF
  2067. WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
  2068. WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
  2069. 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') )
  2070. 9994 FORMAT( 20X, 2( I3, ',' ),
  2071. $ F4.1, ', A,', I3, ', B', I3, ',', F4.1, ', C,', I3, ').' )
  2072. END
  2073. *
  2074. SUBROUTINE SMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET,
  2075. $ TRANSL )
  2076. *
  2077. * Generates values for an M by N matrix A.
  2078. * Stores the values in the array AA in the data structure required
  2079. * by the routine, with unwanted elements set to rogue value.
  2080. *
  2081. * TYPE is 'GE', 'SY' or 'TR'.
  2082. *
  2083. * Auxiliary routine for test program for Level 3 Blas.
  2084. *
  2085. * -- Written on 8-February-1989.
  2086. * Jack Dongarra, Argonne National Laboratory.
  2087. * Iain Duff, AERE Harwell.
  2088. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2089. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2090. *
  2091. * .. Parameters ..
  2092. REAL ZERO, ONE
  2093. PARAMETER ( ZERO = 0.0, ONE = 1.0 )
  2094. REAL ROGUE
  2095. PARAMETER ( ROGUE = -1.0E10 )
  2096. * .. Scalar Arguments ..
  2097. REAL TRANSL
  2098. INTEGER LDA, M, N, NMAX
  2099. LOGICAL RESET
  2100. CHARACTER*1 DIAG, UPLO
  2101. CHARACTER*2 TYPE
  2102. * .. Array Arguments ..
  2103. REAL A( NMAX, * ), AA( * )
  2104. * .. Local Scalars ..
  2105. INTEGER I, IBEG, IEND, J
  2106. LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
  2107. * .. External Functions ..
  2108. REAL SBEG
  2109. EXTERNAL SBEG
  2110. * .. Executable Statements ..
  2111. GEN = TYPE.EQ.'GE'
  2112. SYM = TYPE.EQ.'SY'
  2113. TRI = TYPE.EQ.'TR'
  2114. UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
  2115. LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
  2116. UNIT = TRI.AND.DIAG.EQ.'U'
  2117. *
  2118. * Generate data in array A.
  2119. *
  2120. DO 20 J = 1, N
  2121. DO 10 I = 1, M
  2122. IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
  2123. $ THEN
  2124. A( I, J ) = SBEG( RESET ) + TRANSL
  2125. IF( I.NE.J )THEN
  2126. * Set some elements to zero
  2127. IF( N.GT.3.AND.J.EQ.N/2 )
  2128. $ A( I, J ) = ZERO
  2129. IF( SYM )THEN
  2130. A( J, I ) = A( I, J )
  2131. ELSE IF( TRI )THEN
  2132. A( J, I ) = ZERO
  2133. END IF
  2134. END IF
  2135. END IF
  2136. 10 CONTINUE
  2137. IF( TRI )
  2138. $ A( J, J ) = A( J, J ) + ONE
  2139. IF( UNIT )
  2140. $ A( J, J ) = ONE
  2141. 20 CONTINUE
  2142. *
  2143. * Store elements in array AS in data structure required by routine.
  2144. *
  2145. IF( TYPE.EQ.'GE' )THEN
  2146. DO 50 J = 1, N
  2147. DO 30 I = 1, M
  2148. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2149. 30 CONTINUE
  2150. DO 40 I = M + 1, LDA
  2151. AA( I + ( J - 1 )*LDA ) = ROGUE
  2152. 40 CONTINUE
  2153. 50 CONTINUE
  2154. ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN
  2155. DO 90 J = 1, N
  2156. IF( UPPER )THEN
  2157. IBEG = 1
  2158. IF( UNIT )THEN
  2159. IEND = J - 1
  2160. ELSE
  2161. IEND = J
  2162. END IF
  2163. ELSE
  2164. IF( UNIT )THEN
  2165. IBEG = J + 1
  2166. ELSE
  2167. IBEG = J
  2168. END IF
  2169. IEND = N
  2170. END IF
  2171. DO 60 I = 1, IBEG - 1
  2172. AA( I + ( J - 1 )*LDA ) = ROGUE
  2173. 60 CONTINUE
  2174. DO 70 I = IBEG, IEND
  2175. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2176. 70 CONTINUE
  2177. DO 80 I = IEND + 1, LDA
  2178. AA( I + ( J - 1 )*LDA ) = ROGUE
  2179. 80 CONTINUE
  2180. 90 CONTINUE
  2181. END IF
  2182. RETURN
  2183. *
  2184. * End of SMAKE.
  2185. *
  2186. END
  2187. SUBROUTINE SMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB,
  2188. $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL,
  2189. $ NOUT, MV )
  2190. *
  2191. * Checks the results of the computational tests.
  2192. *
  2193. * Auxiliary routine for test program for Level 3 Blas.
  2194. *
  2195. * -- Written on 8-February-1989.
  2196. * Jack Dongarra, Argonne National Laboratory.
  2197. * Iain Duff, AERE Harwell.
  2198. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2199. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2200. *
  2201. * .. Parameters ..
  2202. REAL ZERO, ONE
  2203. PARAMETER ( ZERO = 0.0, ONE = 1.0 )
  2204. * .. Scalar Arguments ..
  2205. REAL ALPHA, BETA, EPS, ERR
  2206. INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT
  2207. LOGICAL FATAL, MV
  2208. CHARACTER*1 TRANSA, TRANSB
  2209. * .. Array Arguments ..
  2210. REAL A( LDA, * ), B( LDB, * ), C( LDC, * ),
  2211. $ CC( LDCC, * ), CT( * ), G( * )
  2212. * .. Local Scalars ..
  2213. REAL ERRI
  2214. INTEGER I, J, K
  2215. LOGICAL TRANA, TRANB
  2216. * .. Intrinsic Functions ..
  2217. INTRINSIC ABS, MAX, SQRT
  2218. * .. Executable Statements ..
  2219. TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
  2220. TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
  2221. *
  2222. * Compute expected result, one column at a time, in CT using data
  2223. * in A, B and C.
  2224. * Compute gauges in G.
  2225. *
  2226. DO 120 J = 1, N
  2227. *
  2228. DO 10 I = 1, M
  2229. CT( I ) = ZERO
  2230. G( I ) = ZERO
  2231. 10 CONTINUE
  2232. IF( .NOT.TRANA.AND..NOT.TRANB )THEN
  2233. DO 30 K = 1, KK
  2234. DO 20 I = 1, M
  2235. CT( I ) = CT( I ) + A( I, K )*B( K, J )
  2236. G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( K, J ) )
  2237. 20 CONTINUE
  2238. 30 CONTINUE
  2239. ELSE IF( TRANA.AND..NOT.TRANB )THEN
  2240. DO 50 K = 1, KK
  2241. DO 40 I = 1, M
  2242. CT( I ) = CT( I ) + A( K, I )*B( K, J )
  2243. G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( K, J ) )
  2244. 40 CONTINUE
  2245. 50 CONTINUE
  2246. ELSE IF( .NOT.TRANA.AND.TRANB )THEN
  2247. DO 70 K = 1, KK
  2248. DO 60 I = 1, M
  2249. CT( I ) = CT( I ) + A( I, K )*B( J, K )
  2250. G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( J, K ) )
  2251. 60 CONTINUE
  2252. 70 CONTINUE
  2253. ELSE IF( TRANA.AND.TRANB )THEN
  2254. DO 90 K = 1, KK
  2255. DO 80 I = 1, M
  2256. CT( I ) = CT( I ) + A( K, I )*B( J, K )
  2257. G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( J, K ) )
  2258. 80 CONTINUE
  2259. 90 CONTINUE
  2260. END IF
  2261. DO 100 I = 1, M
  2262. CT( I ) = ALPHA*CT( I ) + BETA*C( I, J )
  2263. G( I ) = ABS( ALPHA )*G( I ) + ABS( BETA )*ABS( C( I, J ) )
  2264. 100 CONTINUE
  2265. *
  2266. * Compute the error ratio for this result.
  2267. *
  2268. ERR = ZERO
  2269. DO 110 I = 1, M
  2270. ERRI = ABS( CT( I ) - CC( I, J ) )/EPS
  2271. IF( G( I ).NE.ZERO )
  2272. $ ERRI = ERRI/G( I )
  2273. ERR = MAX( ERR, ERRI )
  2274. IF( ERR*SQRT( EPS ).GE.ONE )
  2275. $ GO TO 130
  2276. 110 CONTINUE
  2277. *
  2278. 120 CONTINUE
  2279. *
  2280. * If the loop completes, all results are at least half accurate.
  2281. GO TO 150
  2282. *
  2283. * Report fatal error.
  2284. *
  2285. 130 FATAL = .TRUE.
  2286. WRITE( NOUT, FMT = 9999 )
  2287. DO 140 I = 1, M
  2288. IF( MV )THEN
  2289. WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J )
  2290. ELSE
  2291. WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I )
  2292. END IF
  2293. 140 CONTINUE
  2294. IF( N.GT.1 )
  2295. $ WRITE( NOUT, FMT = 9997 )J
  2296. *
  2297. 150 CONTINUE
  2298. RETURN
  2299. *
  2300. 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
  2301. $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU',
  2302. $ 'TED RESULT' )
  2303. 9998 FORMAT( 1X, I7, 2G18.6 )
  2304. 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2305. *
  2306. * End of SMMCH.
  2307. *
  2308. END
  2309. LOGICAL FUNCTION LSE( RI, RJ, LR )
  2310. *
  2311. * Tests if two arrays are identical.
  2312. *
  2313. * Auxiliary routine for test program for Level 3 Blas.
  2314. *
  2315. * -- Written on 8-February-1989.
  2316. * Jack Dongarra, Argonne National Laboratory.
  2317. * Iain Duff, AERE Harwell.
  2318. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2319. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2320. *
  2321. * .. Scalar Arguments ..
  2322. INTEGER LR
  2323. * .. Array Arguments ..
  2324. REAL RI( * ), RJ( * )
  2325. * .. Local Scalars ..
  2326. INTEGER I
  2327. * .. Executable Statements ..
  2328. DO 10 I = 1, LR
  2329. IF( RI( I ).NE.RJ( I ) )
  2330. $ GO TO 20
  2331. 10 CONTINUE
  2332. LSE = .TRUE.
  2333. GO TO 30
  2334. 20 CONTINUE
  2335. LSE = .FALSE.
  2336. 30 RETURN
  2337. *
  2338. * End of LSE.
  2339. *
  2340. END
  2341. LOGICAL FUNCTION LSERES( TYPE, UPLO, M, N, AA, AS, LDA )
  2342. *
  2343. * Tests if selected elements in two arrays are equal.
  2344. *
  2345. * TYPE is 'GE' or 'SY'.
  2346. *
  2347. * Auxiliary routine for test program for Level 3 Blas.
  2348. *
  2349. * -- Written on 8-February-1989.
  2350. * Jack Dongarra, Argonne National Laboratory.
  2351. * Iain Duff, AERE Harwell.
  2352. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2353. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2354. *
  2355. * .. Scalar Arguments ..
  2356. INTEGER LDA, M, N
  2357. CHARACTER*1 UPLO
  2358. CHARACTER*2 TYPE
  2359. * .. Array Arguments ..
  2360. REAL AA( LDA, * ), AS( LDA, * )
  2361. * .. Local Scalars ..
  2362. INTEGER I, IBEG, IEND, J
  2363. LOGICAL UPPER
  2364. * .. Executable Statements ..
  2365. UPPER = UPLO.EQ.'U'
  2366. IF( TYPE.EQ.'GE' )THEN
  2367. DO 20 J = 1, N
  2368. DO 10 I = M + 1, LDA
  2369. IF( AA( I, J ).NE.AS( I, J ) )
  2370. $ GO TO 70
  2371. 10 CONTINUE
  2372. 20 CONTINUE
  2373. ELSE IF( TYPE.EQ.'SY' )THEN
  2374. DO 50 J = 1, N
  2375. IF( UPPER )THEN
  2376. IBEG = 1
  2377. IEND = J
  2378. ELSE
  2379. IBEG = J
  2380. IEND = N
  2381. END IF
  2382. DO 30 I = 1, IBEG - 1
  2383. IF( AA( I, J ).NE.AS( I, J ) )
  2384. $ GO TO 70
  2385. 30 CONTINUE
  2386. DO 40 I = IEND + 1, LDA
  2387. IF( AA( I, J ).NE.AS( I, J ) )
  2388. $ GO TO 70
  2389. 40 CONTINUE
  2390. 50 CONTINUE
  2391. END IF
  2392. *
  2393. 60 CONTINUE
  2394. LSERES = .TRUE.
  2395. GO TO 80
  2396. 70 CONTINUE
  2397. LSERES = .FALSE.
  2398. 80 RETURN
  2399. *
  2400. * End of LSERES.
  2401. *
  2402. END
  2403. REAL FUNCTION SBEG( RESET )
  2404. *
  2405. * Generates random numbers uniformly distributed between -0.5 and 0.5.
  2406. *
  2407. * Auxiliary routine for test program for Level 3 Blas.
  2408. *
  2409. * -- Written on 8-February-1989.
  2410. * Jack Dongarra, Argonne National Laboratory.
  2411. * Iain Duff, AERE Harwell.
  2412. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2413. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2414. *
  2415. * .. Scalar Arguments ..
  2416. LOGICAL RESET
  2417. * .. Local Scalars ..
  2418. INTEGER I, IC, MI
  2419. * .. Save statement ..
  2420. SAVE I, IC, MI
  2421. * .. Executable Statements ..
  2422. IF( RESET )THEN
  2423. * Initialize local variables.
  2424. MI = 891
  2425. I = 7
  2426. IC = 0
  2427. RESET = .FALSE.
  2428. END IF
  2429. *
  2430. * The sequence of values of I is bounded between 1 and 999.
  2431. * If initial I = 1,2,3,6,7 or 9, the period will be 50.
  2432. * If initial I = 4 or 8, the period will be 25.
  2433. * If initial I = 5, the period will be 10.
  2434. * IC is used to break up the period by skipping 1 value of I in 6.
  2435. *
  2436. IC = IC + 1
  2437. 10 I = I*MI
  2438. I = I - 1000*( I/1000 )
  2439. IF( IC.GE.5 )THEN
  2440. IC = 0
  2441. GO TO 10
  2442. END IF
  2443. SBEG = ( I - 500 )/1001.0
  2444. RETURN
  2445. *
  2446. * End of SBEG.
  2447. *
  2448. END
  2449. REAL FUNCTION SDIFF( X, Y )
  2450. *
  2451. * Auxiliary routine for test program for Level 3 Blas.
  2452. *
  2453. * -- Written on 8-February-1989.
  2454. * Jack Dongarra, Argonne National Laboratory.
  2455. * Iain Duff, AERE Harwell.
  2456. * Jeremy Du Croz, Numerical Algorithms Group Ltd.
  2457. * Sven Hammarling, Numerical Algorithms Group Ltd.
  2458. *
  2459. * .. Scalar Arguments ..
  2460. REAL X, Y
  2461. * .. Executable Statements ..
  2462. SDIFF = X - Y
  2463. RETURN
  2464. *
  2465. * End of SDIFF.
  2466. *
  2467. END