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c_sblat2.f 105 kB

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  1. PROGRAM SBLAT2
  2. *
  3. * Test program for the REAL Level 2 Blas.
  4. *
  5. * The program must be driven by a short data file. The first 17 records
  6. * of the file are read using list-directed input, the last 16 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 33 lines:
  10. * 'SBLAT2.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 ERROR STOP ON FAILURES.
  14. * T LOGICAL FLAG, T TO TEST ERROR EXITS.
  15. * 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH
  16. * 16.0 THRESHOLD VALUE OF TEST RATIO
  17. * 6 NUMBER OF VALUES OF N
  18. * 0 1 2 3 5 9 VALUES OF N
  19. * 4 NUMBER OF VALUES OF K
  20. * 0 1 2 4 VALUES OF K
  21. * 4 NUMBER OF VALUES OF INCX AND INCY
  22. * 1 2 -1 -2 VALUES OF INCX AND INCY
  23. * 3 NUMBER OF VALUES OF ALPHA
  24. * 0.0 1.0 0.7 VALUES OF ALPHA
  25. * 3 NUMBER OF VALUES OF BETA
  26. * 0.0 1.0 0.9 VALUES OF BETA
  27. * cblas_sgemv T PUT F FOR NO TEST. SAME COLUMNS.
  28. * cblas_sgbmv T PUT F FOR NO TEST. SAME COLUMNS.
  29. * cblas_ssymv T PUT F FOR NO TEST. SAME COLUMNS.
  30. * cblas_ssbmv T PUT F FOR NO TEST. SAME COLUMNS.
  31. * cblas_sspmv T PUT F FOR NO TEST. SAME COLUMNS.
  32. * cblas_strmv T PUT F FOR NO TEST. SAME COLUMNS.
  33. * cblas_stbmv T PUT F FOR NO TEST. SAME COLUMNS.
  34. * cblas_stpmv T PUT F FOR NO TEST. SAME COLUMNS.
  35. * cblas_strsv T PUT F FOR NO TEST. SAME COLUMNS.
  36. * cblas_stbsv T PUT F FOR NO TEST. SAME COLUMNS.
  37. * cblas_stpsv T PUT F FOR NO TEST. SAME COLUMNS.
  38. * cblas_sger T PUT F FOR NO TEST. SAME COLUMNS.
  39. * cblas_ssyr T PUT F FOR NO TEST. SAME COLUMNS.
  40. * cblas_sspr T PUT F FOR NO TEST. SAME COLUMNS.
  41. * cblas_ssyr2 T PUT F FOR NO TEST. SAME COLUMNS.
  42. * cblas_sspr2 T PUT F FOR NO TEST. SAME COLUMNS.
  43. *
  44. * See:
  45. *
  46. * Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
  47. * An extended set of Fortran Basic Linear Algebra Subprograms.
  48. *
  49. * Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
  50. * and Computer Science Division, Argonne National Laboratory,
  51. * 9700 South Cass Avenue, Argonne, Illinois 60439, US.
  52. *
  53. * Or
  54. *
  55. * NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
  56. * Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
  57. * OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
  58. * Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
  59. *
  60. *
  61. * -- Written on 10-August-1987.
  62. * Richard Hanson, Sandia National Labs.
  63. * Jeremy Du Croz, NAG Central Office.
  64. *
  65. * .. Parameters ..
  66. INTEGER NIN, NOUT
  67. PARAMETER ( NIN = 5, NOUT = 6 )
  68. INTEGER NSUBS
  69. PARAMETER ( NSUBS = 16 )
  70. REAL ZERO, HALF, ONE
  71. PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
  72. INTEGER NMAX, INCMAX
  73. PARAMETER ( NMAX = 65, INCMAX = 2 )
  74. INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
  75. PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
  76. $ NALMAX = 7, NBEMAX = 7 )
  77. * .. Local Scalars ..
  78. REAL EPS, ERR, THRESH
  79. INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
  80. $ NTRA, LAYOUT
  81. LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
  82. $ TSTERR, CORDER, RORDER
  83. CHARACTER*1 TRANS
  84. CHARACTER*12 SNAMET
  85. CHARACTER*32 SNAPS
  86. * .. Local Arrays ..
  87. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ),
  88. $ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
  89. $ G( NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
  90. $ XX( NMAX*INCMAX ), Y( NMAX ),
  91. $ YS( NMAX*INCMAX ), YT( NMAX ),
  92. $ YY( NMAX*INCMAX ), Z( 2*NMAX )
  93. INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
  94. LOGICAL LTEST( NSUBS )
  95. CHARACTER*12 SNAMES( NSUBS )
  96. * .. External Functions ..
  97. REAL SDIFF
  98. LOGICAL LSE
  99. EXTERNAL SDIFF, LSE
  100. * .. External Subroutines ..
  101. EXTERNAL SCHK1, SCHK2, SCHK3, SCHK4, SCHK5, SCHK6,
  102. $ CS2CHKE, SMVCH
  103. * .. Intrinsic Functions ..
  104. INTRINSIC ABS, MAX, MIN
  105. * .. Scalars in Common ..
  106. INTEGER INFOT, NOUTC
  107. LOGICAL OK
  108. CHARACTER*12 SRNAMT
  109. * .. Common blocks ..
  110. COMMON /INFOC/INFOT, NOUTC, OK
  111. COMMON /SRNAMC/SRNAMT
  112. * .. Data statements ..
  113. DATA SNAMES/'cblas_sgemv ', 'cblas_sgbmv ',
  114. $ 'cblas_ssymv ','cblas_ssbmv ','cblas_sspmv ',
  115. $ 'cblas_strmv ','cblas_stbmv ','cblas_stpmv ',
  116. $ 'cblas_strsv ','cblas_stbsv ','cblas_stpsv ',
  117. $ 'cblas_sger ','cblas_ssyr ','cblas_sspr ',
  118. $ 'cblas_ssyr2 ','cblas_sspr2 '/
  119. * .. Executable Statements ..
  120. *
  121. NOUTC = NOUT
  122. *
  123. * Read name and unit number for snapshot output file and open file.
  124. *
  125. READ( NIN, FMT = * )SNAPS
  126. READ( NIN, FMT = * )NTRA
  127. TRACE = NTRA.GE.0
  128. IF( TRACE )THEN
  129. OPEN( NTRA, FILE = SNAPS )
  130. END IF
  131. * Read the flag that directs rewinding of the snapshot file.
  132. READ( NIN, FMT = * )REWI
  133. REWI = REWI.AND.TRACE
  134. * Read the flag that directs stopping on any failure.
  135. READ( NIN, FMT = * )SFATAL
  136. * Read the flag that indicates whether error exits are to be tested.
  137. READ( NIN, FMT = * )TSTERR
  138. * Read the flag that indicates whether row-major data layout to be tested.
  139. READ( NIN, FMT = * )LAYOUT
  140. * Read the threshold value of the test ratio
  141. READ( NIN, FMT = * )THRESH
  142. *
  143. * Read and check the parameter values for the tests.
  144. *
  145. * Values of N
  146. READ( NIN, FMT = * )NIDIM
  147. IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
  148. WRITE( NOUT, FMT = 9997 )'N', NIDMAX
  149. GO TO 230
  150. END IF
  151. READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
  152. DO 10 I = 1, NIDIM
  153. IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
  154. WRITE( NOUT, FMT = 9996 )NMAX
  155. GO TO 230
  156. END IF
  157. 10 CONTINUE
  158. * Values of K
  159. READ( NIN, FMT = * )NKB
  160. IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
  161. WRITE( NOUT, FMT = 9997 )'K', NKBMAX
  162. GO TO 230
  163. END IF
  164. READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
  165. DO 20 I = 1, NKB
  166. IF( KB( I ).LT.0 )THEN
  167. WRITE( NOUT, FMT = 9995 )
  168. GO TO 230
  169. END IF
  170. 20 CONTINUE
  171. * Values of INCX and INCY
  172. READ( NIN, FMT = * )NINC
  173. IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN
  174. WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX
  175. GO TO 230
  176. END IF
  177. READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
  178. DO 30 I = 1, NINC
  179. IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
  180. WRITE( NOUT, FMT = 9994 )INCMAX
  181. GO TO 230
  182. END IF
  183. 30 CONTINUE
  184. * Values of ALPHA
  185. READ( NIN, FMT = * )NALF
  186. IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
  187. WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
  188. GO TO 230
  189. END IF
  190. READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
  191. * Values of BETA
  192. READ( NIN, FMT = * )NBET
  193. IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
  194. WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
  195. GO TO 230
  196. END IF
  197. READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
  198. *
  199. * Report values of parameters.
  200. *
  201. WRITE( NOUT, FMT = 9993 )
  202. WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
  203. WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB )
  204. WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC )
  205. WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF )
  206. WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET )
  207. IF( .NOT.TSTERR )THEN
  208. WRITE( NOUT, FMT = * )
  209. WRITE( NOUT, FMT = 9980 )
  210. END IF
  211. WRITE( NOUT, FMT = * )
  212. WRITE( NOUT, FMT = 9999 )THRESH
  213. WRITE( NOUT, FMT = * )
  214. RORDER = .FALSE.
  215. CORDER = .FALSE.
  216. IF (LAYOUT.EQ.2) THEN
  217. RORDER = .TRUE.
  218. CORDER = .TRUE.
  219. WRITE( *, FMT = 10002 )
  220. ELSE IF (LAYOUT.EQ.1) THEN
  221. RORDER = .TRUE.
  222. WRITE( *, FMT = 10001 )
  223. ELSE IF (LAYOUT.EQ.0) THEN
  224. CORDER = .TRUE.
  225. WRITE( *, FMT = 10000 )
  226. END IF
  227. WRITE( *, FMT = * )
  228. *
  229. * Read names of subroutines and flags which indicate
  230. * whether they are to be tested.
  231. *
  232. DO 40 I = 1, NSUBS
  233. LTEST( I ) = .FALSE.
  234. 40 CONTINUE
  235. 50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT
  236. DO 60 I = 1, NSUBS
  237. IF( SNAMET.EQ.SNAMES( I ) )
  238. $ GO TO 70
  239. 60 CONTINUE
  240. WRITE( NOUT, FMT = 9986 )SNAMET
  241. ERROR STOP
  242. 70 LTEST( I ) = LTESTT
  243. GO TO 50
  244. *
  245. 80 CONTINUE
  246. CLOSE ( NIN )
  247. *
  248. * Compute EPS (the machine precision).
  249. *
  250. EPS = ONE
  251. 90 CONTINUE
  252. IF( SDIFF( ONE + EPS, ONE ).EQ.ZERO )
  253. $ GO TO 100
  254. EPS = HALF*EPS
  255. GO TO 90
  256. 100 CONTINUE
  257. EPS = EPS + EPS
  258. WRITE( NOUT, FMT = 9998 )EPS
  259. *
  260. * Check the reliability of SMVCH using exact data.
  261. *
  262. N = MIN( 32, NMAX )
  263. DO 120 J = 1, N
  264. DO 110 I = 1, N
  265. A( I, J ) = MAX( I - J + 1, 0 )
  266. 110 CONTINUE
  267. X( J ) = J
  268. Y( J ) = ZERO
  269. 120 CONTINUE
  270. DO 130 J = 1, N
  271. YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
  272. 130 CONTINUE
  273. * YY holds the exact result. On exit from SMVCH YT holds
  274. * the result computed by SMVCH.
  275. TRANS = 'N'
  276. CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
  277. $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
  278. SAME = LSE( YY, YT, N )
  279. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  280. WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
  281. ERROR STOP
  282. END IF
  283. TRANS = 'T'
  284. CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
  285. $ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
  286. SAME = LSE( YY, YT, N )
  287. IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
  288. WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
  289. ERROR STOP
  290. END IF
  291. *
  292. * Test each subroutine in turn.
  293. *
  294. DO 210 ISNUM = 1, NSUBS
  295. WRITE( NOUT, FMT = * )
  296. IF( .NOT.LTEST( ISNUM ) )THEN
  297. * Subprogram is not to be tested.
  298. WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM )
  299. ELSE
  300. SRNAMT = SNAMES( ISNUM )
  301. * Test error exits.
  302. IF( TSTERR )THEN
  303. CALL CS2CHKE( SNAMES( ISNUM ) )
  304. WRITE( NOUT, FMT = * )
  305. END IF
  306. * Test computations.
  307. INFOT = 0
  308. OK = .TRUE.
  309. FATAL = .FALSE.
  310. GO TO ( 140, 140, 150, 150, 150, 160, 160,
  311. $ 160, 160, 160, 160, 170, 180, 180,
  312. $ 190, 190 )ISNUM
  313. * Test SGEMV, 01, and SGBMV, 02.
  314. 140 IF (CORDER) THEN
  315. CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  316. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
  317. $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
  318. $ X, XX, XS, Y, YY, YS, YT, G, 0 )
  319. END IF
  320. IF (RORDER) THEN
  321. CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  322. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
  323. $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
  324. $ X, XX, XS, Y, YY, YS, YT, G, 1 )
  325. END IF
  326. GO TO 200
  327. * Test SSYMV, 03, SSBMV, 04, and SSPMV, 05.
  328. 150 IF (CORDER) THEN
  329. CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  330. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
  331. $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
  332. $ X, XX, XS, Y, YY, YS, YT, G, 0 )
  333. END IF
  334. IF (RORDER) THEN
  335. CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  336. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
  337. $ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
  338. $ X, XX, XS, Y, YY, YS, YT, G, 1 )
  339. END IF
  340. GO TO 200
  341. * Test STRMV, 06, STBMV, 07, STPMV, 08,
  342. * STRSV, 09, STBSV, 10, and STPSV, 11.
  343. 160 IF (CORDER) THEN
  344. CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  345. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
  346. $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
  347. $ 0 )
  348. END IF
  349. IF (RORDER) THEN
  350. CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  351. $ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
  352. $ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
  353. $ 1 )
  354. END IF
  355. GO TO 200
  356. * Test SGER, 12.
  357. 170 IF (CORDER) THEN
  358. CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  359. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  360. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  361. $ YT, G, Z, 0 )
  362. END IF
  363. IF (RORDER) THEN
  364. CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  365. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  366. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  367. $ YT, G, Z, 1 )
  368. END IF
  369. GO TO 200
  370. * Test SSYR, 13, and SSPR, 14.
  371. 180 IF (CORDER) THEN
  372. CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  373. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  374. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  375. $ YT, G, Z, 0 )
  376. END IF
  377. IF (RORDER) THEN
  378. CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  379. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  380. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  381. $ YT, G, Z, 1 )
  382. END IF
  383. GO TO 200
  384. * Test SSYR2, 15, and SSPR2, 16.
  385. 190 IF (CORDER) THEN
  386. CALL SCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  387. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  388. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  389. $ YT, G, Z, 0 )
  390. END IF
  391. IF (RORDER) THEN
  392. CALL SCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
  393. $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
  394. $ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
  395. $ YT, G, Z, 1 )
  396. END IF
  397. *
  398. 200 IF( FATAL.AND.SFATAL )
  399. $ GO TO 220
  400. END IF
  401. 210 CONTINUE
  402. WRITE( NOUT, FMT = 9982 )
  403. GO TO 240
  404. *
  405. 220 CONTINUE
  406. WRITE( NOUT, FMT = 9981 )
  407. GO TO 240
  408. *
  409. 230 CONTINUE
  410. WRITE( NOUT, FMT = 9987 )
  411. *
  412. 240 CONTINUE
  413. IF( TRACE )
  414. $ CLOSE ( NTRA )
  415. CLOSE ( NOUT )
  416. IF( FATAL ) THEN
  417. ERROR STOP
  418. END IF
  419. *
  420. 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
  421. 10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' )
  422. 10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
  423. 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES',
  424. $ 'S THAN', F8.2 )
  425. 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 )
  426. 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ',
  427. $ 'THAN ', I2 )
  428. 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 )
  429. 9995 FORMAT( ' VALUE OF K IS LESS THAN 0' )
  430. 9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
  431. $ I2 )
  432. 9993 FORMAT( ' TESTS OF THE REAL LEVEL 2 BLAS', //' THE F',
  433. $ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
  434. 9992 FORMAT( ' FOR N ', 9I6 )
  435. 9991 FORMAT( ' FOR K ', 7I6 )
  436. 9990 FORMAT( ' FOR INCX AND INCY ', 7I6 )
  437. 9989 FORMAT( ' FOR ALPHA ', 7F6.1 )
  438. 9988 FORMAT( ' FOR BETA ', 7F6.1 )
  439. 9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
  440. $ /' ******* TESTS ABANDONED *******' )
  441. 9986 FORMAT( ' SUBPROGRAM NAME ',A12, ' NOT RECOGNIZED', /' ******* T',
  442. $ 'ESTS ABANDONED *******' )
  443. 9985 FORMAT( ' ERROR IN SMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
  444. $ 'ATED WRONGLY.', /' SMVCH WAS CALLED WITH TRANS = ', A1,
  445. $ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', /
  446. $ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.'
  447. $ , /' ******* TESTS ABANDONED *******' )
  448. 9984 FORMAT(A12, L2 )
  449. 9983 FORMAT( 1X,A12, ' WAS NOT TESTED' )
  450. 9982 FORMAT( /' END OF TESTS' )
  451. 9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
  452. 9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
  453. *
  454. * End of SBLAT2.
  455. *
  456. END
  457. SUBROUTINE SCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  458. $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
  459. $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
  460. $ XS, Y, YY, YS, YT, G, IORDER )
  461. *
  462. * Tests SGEMV and SGBMV.
  463. *
  464. * Auxiliary routine for test program for Level 2 Blas.
  465. *
  466. * -- Written on 10-August-1987.
  467. * Richard Hanson, Sandia National Labs.
  468. * Jeremy Du Croz, NAG Central Office.
  469. *
  470. * .. Parameters ..
  471. REAL ZERO, HALF
  472. PARAMETER ( ZERO = 0.0, HALF = 0.5 )
  473. * .. Scalar Arguments ..
  474. REAL EPS, THRESH
  475. INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
  476. $ NOUT, NTRA, IORDER
  477. LOGICAL FATAL, REWI, TRACE
  478. CHARACTER*12 SNAME
  479. * .. Array Arguments ..
  480. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  481. $ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ),
  482. $ X( NMAX ), XS( NMAX*INCMAX ),
  483. $ XX( NMAX*INCMAX ), Y( NMAX ),
  484. $ YS( NMAX*INCMAX ), YT( NMAX ),
  485. $ YY( NMAX*INCMAX )
  486. INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
  487. * .. Local Scalars ..
  488. REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL
  489. INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
  490. $ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
  491. $ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
  492. $ NL, NS
  493. LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
  494. CHARACTER*1 TRANS, TRANSS
  495. CHARACTER*14 CTRANS
  496. CHARACTER*3 ICH
  497. * .. Local Arrays ..
  498. LOGICAL ISAME( 13 )
  499. * .. External Functions ..
  500. LOGICAL LSE, LSERES
  501. EXTERNAL LSE, LSERES
  502. * .. External Subroutines ..
  503. EXTERNAL CSGBMV, CSGEMV, SMAKE, SMVCH
  504. * .. Intrinsic Functions ..
  505. INTRINSIC ABS, MAX, MIN
  506. * .. Scalars in Common ..
  507. INTEGER INFOT, NOUTC
  508. LOGICAL OK
  509. * .. Common blocks ..
  510. COMMON /INFOC/INFOT, NOUTC, OK
  511. * .. Data statements ..
  512. DATA ICH/'NTC'/
  513. * .. Executable Statements ..
  514. FULL = SNAME( 9: 9 ).EQ.'e'
  515. BANDED = SNAME( 9: 9 ).EQ.'b'
  516. * Define the number of arguments.
  517. IF( FULL )THEN
  518. NARGS = 11
  519. ELSE IF( BANDED )THEN
  520. NARGS = 13
  521. END IF
  522. *
  523. NC = 0
  524. RESET = .TRUE.
  525. ERRMAX = ZERO
  526. *
  527. DO 120 IN = 1, NIDIM
  528. N = IDIM( IN )
  529. ND = N/2 + 1
  530. *
  531. DO 110 IM = 1, 2
  532. IF( IM.EQ.1 )
  533. $ M = MAX( N - ND, 0 )
  534. IF( IM.EQ.2 )
  535. $ M = MIN( N + ND, NMAX )
  536. *
  537. IF( BANDED )THEN
  538. NK = NKB
  539. ELSE
  540. NK = 1
  541. END IF
  542. DO 100 IKU = 1, NK
  543. IF( BANDED )THEN
  544. KU = KB( IKU )
  545. KL = MAX( KU - 1, 0 )
  546. ELSE
  547. KU = N - 1
  548. KL = M - 1
  549. END IF
  550. * Set LDA to 1 more than minimum value if room.
  551. IF( BANDED )THEN
  552. LDA = KL + KU + 1
  553. ELSE
  554. LDA = M
  555. END IF
  556. IF( LDA.LT.NMAX )
  557. $ LDA = LDA + 1
  558. * Skip tests if not enough room.
  559. IF( LDA.GT.NMAX )
  560. $ GO TO 100
  561. LAA = LDA*N
  562. NULL = N.LE.0.OR.M.LE.0
  563. *
  564. * Generate the matrix A.
  565. *
  566. TRANSL = ZERO
  567. CALL SMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
  568. $ LDA, KL, KU, RESET, TRANSL )
  569. *
  570. DO 90 IC = 1, 3
  571. TRANS = ICH( IC: IC )
  572. IF (TRANS.EQ.'N')THEN
  573. CTRANS = ' CblasNoTrans'
  574. ELSE IF (TRANS.EQ.'T')THEN
  575. CTRANS = ' CblasTrans'
  576. ELSE
  577. CTRANS = 'CblasConjTrans'
  578. END IF
  579. TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
  580. *
  581. IF( TRAN )THEN
  582. ML = N
  583. NL = M
  584. ELSE
  585. ML = M
  586. NL = N
  587. END IF
  588. *
  589. DO 80 IX = 1, NINC
  590. INCX = INC( IX )
  591. LX = ABS( INCX )*NL
  592. *
  593. * Generate the vector X.
  594. *
  595. TRANSL = HALF
  596. CALL SMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
  597. $ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
  598. IF( NL.GT.1 )THEN
  599. X( NL/2 ) = ZERO
  600. XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
  601. END IF
  602. *
  603. DO 70 IY = 1, NINC
  604. INCY = INC( IY )
  605. LY = ABS( INCY )*ML
  606. *
  607. DO 60 IA = 1, NALF
  608. ALPHA = ALF( IA )
  609. *
  610. DO 50 IB = 1, NBET
  611. BETA = BET( IB )
  612. *
  613. * Generate the vector Y.
  614. *
  615. TRANSL = ZERO
  616. CALL SMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
  617. $ YY, ABS( INCY ), 0, ML - 1,
  618. $ RESET, TRANSL )
  619. *
  620. NC = NC + 1
  621. *
  622. * Save every datum before calling the
  623. * subroutine.
  624. *
  625. TRANSS = TRANS
  626. MS = M
  627. NS = N
  628. KLS = KL
  629. KUS = KU
  630. ALS = ALPHA
  631. DO 10 I = 1, LAA
  632. AS( I ) = AA( I )
  633. 10 CONTINUE
  634. LDAS = LDA
  635. DO 20 I = 1, LX
  636. XS( I ) = XX( I )
  637. 20 CONTINUE
  638. INCXS = INCX
  639. BLS = BETA
  640. DO 30 I = 1, LY
  641. YS( I ) = YY( I )
  642. 30 CONTINUE
  643. INCYS = INCY
  644. *
  645. * Call the subroutine.
  646. *
  647. IF( FULL )THEN
  648. IF( TRACE )
  649. $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
  650. $ CTRANS, M, N, ALPHA, LDA, INCX,
  651. $ BETA, INCY
  652. IF( REWI )
  653. $ REWIND NTRA
  654. CALL CSGEMV( IORDER, TRANS, M, N,
  655. $ ALPHA, AA, LDA, XX, INCX,
  656. $ BETA, YY, INCY )
  657. ELSE IF( BANDED )THEN
  658. IF( TRACE )
  659. $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
  660. $ CTRANS, M, N, KL, KU, ALPHA, LDA,
  661. $ INCX, BETA, INCY
  662. IF( REWI )
  663. $ REWIND NTRA
  664. CALL CSGBMV( IORDER, TRANS, M, N, KL,
  665. $ KU, ALPHA, AA, LDA, XX,
  666. $ INCX, BETA, YY, INCY )
  667. END IF
  668. *
  669. * Check if error-exit was taken incorrectly.
  670. *
  671. IF( .NOT.OK )THEN
  672. WRITE( NOUT, FMT = 9993 )
  673. FATAL = .TRUE.
  674. GO TO 130
  675. END IF
  676. *
  677. * See what data changed inside subroutines.
  678. *
  679. ISAME( 1 ) = TRANS.EQ.TRANSS
  680. ISAME( 2 ) = MS.EQ.M
  681. ISAME( 3 ) = NS.EQ.N
  682. IF( FULL )THEN
  683. ISAME( 4 ) = ALS.EQ.ALPHA
  684. ISAME( 5 ) = LSE( AS, AA, LAA )
  685. ISAME( 6 ) = LDAS.EQ.LDA
  686. ISAME( 7 ) = LSE( XS, XX, LX )
  687. ISAME( 8 ) = INCXS.EQ.INCX
  688. ISAME( 9 ) = BLS.EQ.BETA
  689. IF( NULL )THEN
  690. ISAME( 10 ) = LSE( YS, YY, LY )
  691. ELSE
  692. ISAME( 10 ) = LSERES( 'ge', ' ', 1,
  693. $ ML, YS, YY,
  694. $ ABS( INCY ) )
  695. END IF
  696. ISAME( 11 ) = INCYS.EQ.INCY
  697. ELSE IF( BANDED )THEN
  698. ISAME( 4 ) = KLS.EQ.KL
  699. ISAME( 5 ) = KUS.EQ.KU
  700. ISAME( 6 ) = ALS.EQ.ALPHA
  701. ISAME( 7 ) = LSE( AS, AA, LAA )
  702. ISAME( 8 ) = LDAS.EQ.LDA
  703. ISAME( 9 ) = LSE( XS, XX, LX )
  704. ISAME( 10 ) = INCXS.EQ.INCX
  705. ISAME( 11 ) = BLS.EQ.BETA
  706. IF( NULL )THEN
  707. ISAME( 12 ) = LSE( YS, YY, LY )
  708. ELSE
  709. ISAME( 12 ) = LSERES( 'ge', ' ', 1,
  710. $ ML, YS, YY,
  711. $ ABS( INCY ) )
  712. END IF
  713. ISAME( 13 ) = INCYS.EQ.INCY
  714. END IF
  715. *
  716. * If data was incorrectly changed, report
  717. * and return.
  718. *
  719. SAME = .TRUE.
  720. DO 40 I = 1, NARGS
  721. SAME = SAME.AND.ISAME( I )
  722. IF( .NOT.ISAME( I ) )
  723. $ WRITE( NOUT, FMT = 9998 )I
  724. 40 CONTINUE
  725. IF( .NOT.SAME )THEN
  726. FATAL = .TRUE.
  727. GO TO 130
  728. END IF
  729. *
  730. IF( .NOT.NULL )THEN
  731. *
  732. * Check the result.
  733. *
  734. CALL SMVCH( TRANS, M, N, ALPHA, A,
  735. $ NMAX, X, INCX, BETA, Y,
  736. $ INCY, YT, G, YY, EPS, ERR,
  737. $ FATAL, NOUT, .TRUE. )
  738. ERRMAX = MAX( ERRMAX, ERR )
  739. * If got really bad answer, report and
  740. * return.
  741. IF( FATAL )
  742. $ GO TO 130
  743. ELSE
  744. * Avoid repeating tests with M.le.0 or
  745. * N.le.0.
  746. GO TO 110
  747. END IF
  748. *
  749. 50 CONTINUE
  750. *
  751. 60 CONTINUE
  752. *
  753. 70 CONTINUE
  754. *
  755. 80 CONTINUE
  756. *
  757. 90 CONTINUE
  758. *
  759. 100 CONTINUE
  760. *
  761. 110 CONTINUE
  762. *
  763. 120 CONTINUE
  764. *
  765. * Report result.
  766. *
  767. IF( ERRMAX.LT.THRESH )THEN
  768. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  769. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  770. ELSE
  771. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  772. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  773. END IF
  774. GO TO 140
  775. *
  776. 130 CONTINUE
  777. WRITE( NOUT, FMT = 9996 )SNAME
  778. IF( FULL )THEN
  779. WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
  780. $ INCX, BETA, INCY
  781. ELSE IF( BANDED )THEN
  782. WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
  783. $ ALPHA, LDA, INCX, BETA, INCY
  784. END IF
  785. *
  786. 140 CONTINUE
  787. RETURN
  788. *
  789. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  790. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  791. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  792. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  793. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  794. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  795. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  796. $ ' (', I6, ' CALL', 'S)' )
  797. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  798. $ ' (', I6, ' CALL', 'S)' )
  799. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  800. $ 'ANGED INCORRECTLY *******' )
  801. C 9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  802. C $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  803. C $ ' - SUSPECT *******' )
  804. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  805. 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), F4.1,
  806. $ ', A,', I3, ',',/ 10x, 'X,', I2, ',', F4.1, ', Y,',
  807. $ I2, ') .' )
  808. 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), F4.1,
  809. $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2,
  810. $ ') .' )
  811. 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  812. $ '******' )
  813. *
  814. * End of SCHK1.
  815. *
  816. END
  817. SUBROUTINE SCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  818. $ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
  819. $ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
  820. $ XS, Y, YY, YS, YT, G, IORDER )
  821. *
  822. * Tests SSYMV, SSBMV and SSPMV.
  823. *
  824. * Auxiliary routine for test program for Level 2 Blas.
  825. *
  826. * -- Written on 10-August-1987.
  827. * Richard Hanson, Sandia National Labs.
  828. * Jeremy Du Croz, NAG Central Office.
  829. *
  830. * .. Parameters ..
  831. REAL ZERO, HALF
  832. PARAMETER ( ZERO = 0.0, HALF = 0.5 )
  833. * .. Scalar Arguments ..
  834. REAL EPS, THRESH
  835. INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
  836. $ NOUT, NTRA, IORDER
  837. LOGICAL FATAL, REWI, TRACE
  838. CHARACTER*12 SNAME
  839. * .. Array Arguments ..
  840. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  841. $ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ),
  842. $ X( NMAX ), XS( NMAX*INCMAX ),
  843. $ XX( NMAX*INCMAX ), Y( NMAX ),
  844. $ YS( NMAX*INCMAX ), YT( NMAX ),
  845. $ YY( NMAX*INCMAX )
  846. INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
  847. * .. Local Scalars ..
  848. REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL
  849. INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY,
  850. $ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
  851. $ N, NARGS, NC, NK, NS
  852. LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
  853. CHARACTER*1 UPLO, UPLOS
  854. CHARACTER*14 CUPLO
  855. CHARACTER*2 ICH
  856. * .. Local Arrays ..
  857. LOGICAL ISAME( 13 )
  858. * .. External Functions ..
  859. LOGICAL LSE, LSERES
  860. EXTERNAL LSE, LSERES
  861. * .. External Subroutines ..
  862. EXTERNAL SMAKE, SMVCH, CSSBMV, CSSPMV, CSSYMV
  863. * .. Intrinsic Functions ..
  864. INTRINSIC ABS, MAX
  865. * .. Scalars in Common ..
  866. INTEGER INFOT, NOUTC
  867. LOGICAL OK
  868. * .. Common blocks ..
  869. COMMON /INFOC/INFOT, NOUTC, OK
  870. * .. Data statements ..
  871. DATA ICH/'UL'/
  872. * .. Executable Statements ..
  873. FULL = SNAME( 9: 9 ).EQ.'y'
  874. BANDED = SNAME( 9: 9 ).EQ.'b'
  875. PACKED = SNAME( 9: 9 ).EQ.'p'
  876. * Define the number of arguments.
  877. IF( FULL )THEN
  878. NARGS = 10
  879. ELSE IF( BANDED )THEN
  880. NARGS = 11
  881. ELSE IF( PACKED )THEN
  882. NARGS = 9
  883. END IF
  884. *
  885. NC = 0
  886. RESET = .TRUE.
  887. ERRMAX = ZERO
  888. *
  889. DO 110 IN = 1, NIDIM
  890. N = IDIM( IN )
  891. *
  892. IF( BANDED )THEN
  893. NK = NKB
  894. ELSE
  895. NK = 1
  896. END IF
  897. DO 100 IK = 1, NK
  898. IF( BANDED )THEN
  899. K = KB( IK )
  900. ELSE
  901. K = N - 1
  902. END IF
  903. * Set LDA to 1 more than minimum value if room.
  904. IF( BANDED )THEN
  905. LDA = K + 1
  906. ELSE
  907. LDA = N
  908. END IF
  909. IF( LDA.LT.NMAX )
  910. $ LDA = LDA + 1
  911. * Skip tests if not enough room.
  912. IF( LDA.GT.NMAX )
  913. $ GO TO 100
  914. IF( PACKED )THEN
  915. LAA = ( N*( N + 1 ) )/2
  916. ELSE
  917. LAA = LDA*N
  918. END IF
  919. NULL = N.LE.0
  920. *
  921. DO 90 IC = 1, 2
  922. UPLO = ICH( IC: IC )
  923. IF (UPLO.EQ.'U')THEN
  924. CUPLO = ' CblasUpper'
  925. ELSE
  926. CUPLO = ' CblasLower'
  927. END IF
  928. *
  929. * Generate the matrix A.
  930. *
  931. TRANSL = ZERO
  932. CALL SMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
  933. $ LDA, K, K, RESET, TRANSL )
  934. *
  935. DO 80 IX = 1, NINC
  936. INCX = INC( IX )
  937. LX = ABS( INCX )*N
  938. *
  939. * Generate the vector X.
  940. *
  941. TRANSL = HALF
  942. CALL SMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
  943. $ ABS( INCX ), 0, N - 1, RESET, TRANSL )
  944. IF( N.GT.1 )THEN
  945. X( N/2 ) = ZERO
  946. XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
  947. END IF
  948. *
  949. DO 70 IY = 1, NINC
  950. INCY = INC( IY )
  951. LY = ABS( INCY )*N
  952. *
  953. DO 60 IA = 1, NALF
  954. ALPHA = ALF( IA )
  955. *
  956. DO 50 IB = 1, NBET
  957. BETA = BET( IB )
  958. *
  959. * Generate the vector Y.
  960. *
  961. TRANSL = ZERO
  962. CALL SMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
  963. $ ABS( INCY ), 0, N - 1, RESET,
  964. $ TRANSL )
  965. *
  966. NC = NC + 1
  967. *
  968. * Save every datum before calling the
  969. * subroutine.
  970. *
  971. UPLOS = UPLO
  972. NS = N
  973. KS = K
  974. ALS = ALPHA
  975. DO 10 I = 1, LAA
  976. AS( I ) = AA( I )
  977. 10 CONTINUE
  978. LDAS = LDA
  979. DO 20 I = 1, LX
  980. XS( I ) = XX( I )
  981. 20 CONTINUE
  982. INCXS = INCX
  983. BLS = BETA
  984. DO 30 I = 1, LY
  985. YS( I ) = YY( I )
  986. 30 CONTINUE
  987. INCYS = INCY
  988. *
  989. * Call the subroutine.
  990. *
  991. IF( FULL )THEN
  992. IF( TRACE )
  993. $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
  994. $ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
  995. IF( REWI )
  996. $ REWIND NTRA
  997. CALL CSSYMV( IORDER, UPLO, N, ALPHA, AA,
  998. $ LDA, XX, INCX, BETA, YY, INCY )
  999. ELSE IF( BANDED )THEN
  1000. IF( TRACE )
  1001. $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
  1002. $ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
  1003. $ INCY
  1004. IF( REWI )
  1005. $ REWIND NTRA
  1006. CALL CSSBMV( IORDER, UPLO, N, K, ALPHA,
  1007. $ AA, LDA, XX, INCX, BETA, YY,
  1008. $ INCY )
  1009. ELSE IF( PACKED )THEN
  1010. IF( TRACE )
  1011. $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
  1012. $ CUPLO, N, ALPHA, INCX, BETA, INCY
  1013. IF( REWI )
  1014. $ REWIND NTRA
  1015. CALL CSSPMV( IORDER, UPLO, N, ALPHA, AA,
  1016. $ XX, INCX, BETA, YY, INCY )
  1017. END IF
  1018. *
  1019. * Check if error-exit was taken incorrectly.
  1020. *
  1021. IF( .NOT.OK )THEN
  1022. WRITE( NOUT, FMT = 9992 )
  1023. FATAL = .TRUE.
  1024. GO TO 120
  1025. END IF
  1026. *
  1027. * See what data changed inside subroutines.
  1028. *
  1029. ISAME( 1 ) = UPLO.EQ.UPLOS
  1030. ISAME( 2 ) = NS.EQ.N
  1031. IF( FULL )THEN
  1032. ISAME( 3 ) = ALS.EQ.ALPHA
  1033. ISAME( 4 ) = LSE( AS, AA, LAA )
  1034. ISAME( 5 ) = LDAS.EQ.LDA
  1035. ISAME( 6 ) = LSE( XS, XX, LX )
  1036. ISAME( 7 ) = INCXS.EQ.INCX
  1037. ISAME( 8 ) = BLS.EQ.BETA
  1038. IF( NULL )THEN
  1039. ISAME( 9 ) = LSE( YS, YY, LY )
  1040. ELSE
  1041. ISAME( 9 ) = LSERES( 'ge', ' ', 1, N,
  1042. $ YS, YY, ABS( INCY ) )
  1043. END IF
  1044. ISAME( 10 ) = INCYS.EQ.INCY
  1045. ELSE IF( BANDED )THEN
  1046. ISAME( 3 ) = KS.EQ.K
  1047. ISAME( 4 ) = ALS.EQ.ALPHA
  1048. ISAME( 5 ) = LSE( AS, AA, LAA )
  1049. ISAME( 6 ) = LDAS.EQ.LDA
  1050. ISAME( 7 ) = LSE( XS, XX, LX )
  1051. ISAME( 8 ) = INCXS.EQ.INCX
  1052. ISAME( 9 ) = BLS.EQ.BETA
  1053. IF( NULL )THEN
  1054. ISAME( 10 ) = LSE( YS, YY, LY )
  1055. ELSE
  1056. ISAME( 10 ) = LSERES( 'ge', ' ', 1, N,
  1057. $ YS, YY, ABS( INCY ) )
  1058. END IF
  1059. ISAME( 11 ) = INCYS.EQ.INCY
  1060. ELSE IF( PACKED )THEN
  1061. ISAME( 3 ) = ALS.EQ.ALPHA
  1062. ISAME( 4 ) = LSE( AS, AA, LAA )
  1063. ISAME( 5 ) = LSE( XS, XX, LX )
  1064. ISAME( 6 ) = INCXS.EQ.INCX
  1065. ISAME( 7 ) = BLS.EQ.BETA
  1066. IF( NULL )THEN
  1067. ISAME( 8 ) = LSE( YS, YY, LY )
  1068. ELSE
  1069. ISAME( 8 ) = LSERES( 'ge', ' ', 1, N,
  1070. $ YS, YY, ABS( INCY ) )
  1071. END IF
  1072. ISAME( 9 ) = INCYS.EQ.INCY
  1073. END IF
  1074. *
  1075. * If data was incorrectly changed, report and
  1076. * return.
  1077. *
  1078. SAME = .TRUE.
  1079. DO 40 I = 1, NARGS
  1080. SAME = SAME.AND.ISAME( I )
  1081. IF( .NOT.ISAME( I ) )
  1082. $ WRITE( NOUT, FMT = 9998 )I
  1083. 40 CONTINUE
  1084. IF( .NOT.SAME )THEN
  1085. FATAL = .TRUE.
  1086. GO TO 120
  1087. END IF
  1088. *
  1089. IF( .NOT.NULL )THEN
  1090. *
  1091. * Check the result.
  1092. *
  1093. CALL SMVCH( 'N', N, N, ALPHA, A, NMAX, X,
  1094. $ INCX, BETA, Y, INCY, YT, G,
  1095. $ YY, EPS, ERR, FATAL, NOUT,
  1096. $ .TRUE. )
  1097. ERRMAX = MAX( ERRMAX, ERR )
  1098. * If got really bad answer, report and
  1099. * return.
  1100. IF( FATAL )
  1101. $ GO TO 120
  1102. ELSE
  1103. * Avoid repeating tests with N.le.0
  1104. GO TO 110
  1105. END IF
  1106. *
  1107. 50 CONTINUE
  1108. *
  1109. 60 CONTINUE
  1110. *
  1111. 70 CONTINUE
  1112. *
  1113. 80 CONTINUE
  1114. *
  1115. 90 CONTINUE
  1116. *
  1117. 100 CONTINUE
  1118. *
  1119. 110 CONTINUE
  1120. *
  1121. * Report result.
  1122. *
  1123. IF( ERRMAX.LT.THRESH )THEN
  1124. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1125. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1126. ELSE
  1127. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1128. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1129. END IF
  1130. GO TO 130
  1131. *
  1132. 120 CONTINUE
  1133. WRITE( NOUT, FMT = 9996 )SNAME
  1134. IF( FULL )THEN
  1135. WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA,
  1136. $ INCX, BETA, INCY
  1137. ELSE IF( BANDED )THEN
  1138. WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
  1139. $ INCX, BETA, INCY
  1140. ELSE IF( PACKED )THEN
  1141. WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
  1142. $ BETA, INCY
  1143. END IF
  1144. *
  1145. 130 CONTINUE
  1146. RETURN
  1147. *
  1148. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1149. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1150. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1151. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1152. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1153. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1154. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1155. $ ' (', I6, ' CALL', 'S)' )
  1156. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1157. $ ' (', I6, ' CALL', 'S)' )
  1158. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1159. $ 'ANGED INCORRECTLY *******' )
  1160. C 9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  1161. C $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  1162. C $ ' - SUSPECT *******' )
  1163. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  1164. 9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', AP',
  1165. $ ', X,', I2, ',', F4.1, ', Y,', I2, ') .' )
  1166. 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), F4.1,
  1167. $ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2,
  1168. $ ') .' )
  1169. 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', A,',
  1170. $ I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' )
  1171. 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1172. $ '******' )
  1173. *
  1174. * End of SCHK2.
  1175. *
  1176. END
  1177. SUBROUTINE SCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1178. $ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
  1179. $ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
  1180. *
  1181. * Tests STRMV, STBMV, STPMV, STRSV, STBSV and STPSV.
  1182. *
  1183. * Auxiliary routine for test program for Level 2 Blas.
  1184. *
  1185. * -- Written on 10-August-1987.
  1186. * Richard Hanson, Sandia National Labs.
  1187. * Jeremy Du Croz, NAG Central Office.
  1188. *
  1189. * .. Parameters ..
  1190. REAL ZERO, HALF, ONE
  1191. PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
  1192. * .. Scalar Arguments ..
  1193. REAL EPS, THRESH
  1194. INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
  1195. $ IORDER
  1196. LOGICAL FATAL, REWI, TRACE
  1197. CHARACTER*12 SNAME
  1198. * .. Array Arguments ..
  1199. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ),
  1200. $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
  1201. $ XS( NMAX*INCMAX ), XT( NMAX ),
  1202. $ XX( NMAX*INCMAX ), Z( NMAX )
  1203. INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
  1204. * .. Local Scalars ..
  1205. REAL ERR, ERRMAX, TRANSL
  1206. INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
  1207. $ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
  1208. LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
  1209. CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
  1210. CHARACTER*14 CUPLO,CTRANS,CDIAG
  1211. CHARACTER*2 ICHD, ICHU
  1212. CHARACTER*3 ICHT
  1213. * .. Local Arrays ..
  1214. LOGICAL ISAME( 13 )
  1215. * .. External Functions ..
  1216. LOGICAL LSE, LSERES
  1217. EXTERNAL LSE, LSERES
  1218. * .. External Subroutines ..
  1219. EXTERNAL SMAKE, SMVCH, CSTBMV, CSTBSV, CSTPMV,
  1220. $ CSTPSV, CSTRMV, CSTRSV
  1221. * .. Intrinsic Functions ..
  1222. INTRINSIC ABS, MAX
  1223. * .. Scalars in Common ..
  1224. INTEGER INFOT, NOUTC
  1225. LOGICAL OK
  1226. * .. Common blocks ..
  1227. COMMON /INFOC/INFOT, NOUTC, OK
  1228. * .. Data statements ..
  1229. DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
  1230. * .. Executable Statements ..
  1231. FULL = SNAME( 9: 9 ).EQ.'r'
  1232. BANDED = SNAME( 9: 9 ).EQ.'b'
  1233. PACKED = SNAME( 9: 9 ).EQ.'p'
  1234. * Define the number of arguments.
  1235. IF( FULL )THEN
  1236. NARGS = 8
  1237. ELSE IF( BANDED )THEN
  1238. NARGS = 9
  1239. ELSE IF( PACKED )THEN
  1240. NARGS = 7
  1241. END IF
  1242. *
  1243. NC = 0
  1244. RESET = .TRUE.
  1245. ERRMAX = ZERO
  1246. * Set up zero vector for SMVCH.
  1247. DO 10 I = 1, NMAX
  1248. Z( I ) = ZERO
  1249. 10 CONTINUE
  1250. *
  1251. DO 110 IN = 1, NIDIM
  1252. N = IDIM( IN )
  1253. *
  1254. IF( BANDED )THEN
  1255. NK = NKB
  1256. ELSE
  1257. NK = 1
  1258. END IF
  1259. DO 100 IK = 1, NK
  1260. IF( BANDED )THEN
  1261. K = KB( IK )
  1262. ELSE
  1263. K = N - 1
  1264. END IF
  1265. * Set LDA to 1 more than minimum value if room.
  1266. IF( BANDED )THEN
  1267. LDA = K + 1
  1268. ELSE
  1269. LDA = N
  1270. END IF
  1271. IF( LDA.LT.NMAX )
  1272. $ LDA = LDA + 1
  1273. * Skip tests if not enough room.
  1274. IF( LDA.GT.NMAX )
  1275. $ GO TO 100
  1276. IF( PACKED )THEN
  1277. LAA = ( N*( N + 1 ) )/2
  1278. ELSE
  1279. LAA = LDA*N
  1280. END IF
  1281. NULL = N.LE.0
  1282. *
  1283. DO 90 ICU = 1, 2
  1284. UPLO = ICHU( ICU: ICU )
  1285. IF (UPLO.EQ.'U')THEN
  1286. CUPLO = ' CblasUpper'
  1287. ELSE
  1288. CUPLO = ' CblasLower'
  1289. END IF
  1290. *
  1291. DO 80 ICT = 1, 3
  1292. TRANS = ICHT( ICT: ICT )
  1293. IF (TRANS.EQ.'N')THEN
  1294. CTRANS = ' CblasNoTrans'
  1295. ELSE IF (TRANS.EQ.'T')THEN
  1296. CTRANS = ' CblasTrans'
  1297. ELSE
  1298. CTRANS = 'CblasConjTrans'
  1299. END IF
  1300. *
  1301. DO 70 ICD = 1, 2
  1302. DIAG = ICHD( ICD: ICD )
  1303. IF (DIAG.EQ.'N')THEN
  1304. CDIAG = ' CblasNonUnit'
  1305. ELSE
  1306. CDIAG = ' CblasUnit'
  1307. END IF
  1308. *
  1309. * Generate the matrix A.
  1310. *
  1311. TRANSL = ZERO
  1312. CALL SMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
  1313. $ NMAX, AA, LDA, K, K, RESET, TRANSL )
  1314. *
  1315. DO 60 IX = 1, NINC
  1316. INCX = INC( IX )
  1317. LX = ABS( INCX )*N
  1318. *
  1319. * Generate the vector X.
  1320. *
  1321. TRANSL = HALF
  1322. CALL SMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
  1323. $ ABS( INCX ), 0, N - 1, RESET,
  1324. $ TRANSL )
  1325. IF( N.GT.1 )THEN
  1326. X( N/2 ) = ZERO
  1327. XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
  1328. END IF
  1329. *
  1330. NC = NC + 1
  1331. *
  1332. * Save every datum before calling the subroutine.
  1333. *
  1334. UPLOS = UPLO
  1335. TRANSS = TRANS
  1336. DIAGS = DIAG
  1337. NS = N
  1338. KS = K
  1339. DO 20 I = 1, LAA
  1340. AS( I ) = AA( I )
  1341. 20 CONTINUE
  1342. LDAS = LDA
  1343. DO 30 I = 1, LX
  1344. XS( I ) = XX( I )
  1345. 30 CONTINUE
  1346. INCXS = INCX
  1347. *
  1348. * Call the subroutine.
  1349. *
  1350. IF( SNAME( 10: 11 ).EQ.'mv' )THEN
  1351. IF( FULL )THEN
  1352. IF( TRACE )
  1353. $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
  1354. $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
  1355. IF( REWI )
  1356. $ REWIND NTRA
  1357. CALL CSTRMV( IORDER, UPLO, TRANS, DIAG,
  1358. $ N, AA, LDA, XX, INCX )
  1359. ELSE IF( BANDED )THEN
  1360. IF( TRACE )
  1361. $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
  1362. $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
  1363. IF( REWI )
  1364. $ REWIND NTRA
  1365. CALL CSTBMV( IORDER, UPLO, TRANS, DIAG,
  1366. $ N, K, AA, LDA, XX, INCX )
  1367. ELSE IF( PACKED )THEN
  1368. IF( TRACE )
  1369. $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
  1370. $ CUPLO, CTRANS, CDIAG, N, INCX
  1371. IF( REWI )
  1372. $ REWIND NTRA
  1373. CALL CSTPMV( IORDER, UPLO, TRANS, DIAG,
  1374. $ N, AA, XX, INCX )
  1375. END IF
  1376. ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
  1377. IF( FULL )THEN
  1378. IF( TRACE )
  1379. $ WRITE( NTRA, FMT = 9993 )NC, SNAME,
  1380. $ CUPLO, CTRANS, CDIAG, N, LDA, INCX
  1381. IF( REWI )
  1382. $ REWIND NTRA
  1383. CALL CSTRSV( IORDER, UPLO, TRANS, DIAG,
  1384. $ N, AA, LDA, XX, INCX )
  1385. ELSE IF( BANDED )THEN
  1386. IF( TRACE )
  1387. $ WRITE( NTRA, FMT = 9994 )NC, SNAME,
  1388. $ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
  1389. IF( REWI )
  1390. $ REWIND NTRA
  1391. CALL CSTBSV( IORDER, UPLO, TRANS, DIAG,
  1392. $ N, K, AA, LDA, XX, INCX )
  1393. ELSE IF( PACKED )THEN
  1394. IF( TRACE )
  1395. $ WRITE( NTRA, FMT = 9995 )NC, SNAME,
  1396. $ CUPLO, CTRANS, CDIAG, N, INCX
  1397. IF( REWI )
  1398. $ REWIND NTRA
  1399. CALL CSTPSV( IORDER, UPLO, TRANS, DIAG,
  1400. $ N, AA, XX, INCX )
  1401. END IF
  1402. END IF
  1403. *
  1404. * Check if error-exit was taken incorrectly.
  1405. *
  1406. IF( .NOT.OK )THEN
  1407. WRITE( NOUT, FMT = 9992 )
  1408. FATAL = .TRUE.
  1409. GO TO 120
  1410. END IF
  1411. *
  1412. * See what data changed inside subroutines.
  1413. *
  1414. ISAME( 1 ) = UPLO.EQ.UPLOS
  1415. ISAME( 2 ) = TRANS.EQ.TRANSS
  1416. ISAME( 3 ) = DIAG.EQ.DIAGS
  1417. ISAME( 4 ) = NS.EQ.N
  1418. IF( FULL )THEN
  1419. ISAME( 5 ) = LSE( AS, AA, LAA )
  1420. ISAME( 6 ) = LDAS.EQ.LDA
  1421. IF( NULL )THEN
  1422. ISAME( 7 ) = LSE( XS, XX, LX )
  1423. ELSE
  1424. ISAME( 7 ) = LSERES( 'ge', ' ', 1, N, XS,
  1425. $ XX, ABS( INCX ) )
  1426. END IF
  1427. ISAME( 8 ) = INCXS.EQ.INCX
  1428. ELSE IF( BANDED )THEN
  1429. ISAME( 5 ) = KS.EQ.K
  1430. ISAME( 6 ) = LSE( AS, AA, LAA )
  1431. ISAME( 7 ) = LDAS.EQ.LDA
  1432. IF( NULL )THEN
  1433. ISAME( 8 ) = LSE( XS, XX, LX )
  1434. ELSE
  1435. ISAME( 8 ) = LSERES( 'ge', ' ', 1, N, XS,
  1436. $ XX, ABS( INCX ) )
  1437. END IF
  1438. ISAME( 9 ) = INCXS.EQ.INCX
  1439. ELSE IF( PACKED )THEN
  1440. ISAME( 5 ) = LSE( AS, AA, LAA )
  1441. IF( NULL )THEN
  1442. ISAME( 6 ) = LSE( XS, XX, LX )
  1443. ELSE
  1444. ISAME( 6 ) = LSERES( 'ge', ' ', 1, N, XS,
  1445. $ XX, ABS( INCX ) )
  1446. END IF
  1447. ISAME( 7 ) = INCXS.EQ.INCX
  1448. END IF
  1449. *
  1450. * If data was incorrectly changed, report and
  1451. * return.
  1452. *
  1453. SAME = .TRUE.
  1454. DO 40 I = 1, NARGS
  1455. SAME = SAME.AND.ISAME( I )
  1456. IF( .NOT.ISAME( I ) )
  1457. $ WRITE( NOUT, FMT = 9998 )I
  1458. 40 CONTINUE
  1459. IF( .NOT.SAME )THEN
  1460. FATAL = .TRUE.
  1461. GO TO 120
  1462. END IF
  1463. *
  1464. IF( .NOT.NULL )THEN
  1465. IF( SNAME( 10: 11 ).EQ.'mv' )THEN
  1466. *
  1467. * Check the result.
  1468. *
  1469. CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X,
  1470. $ INCX, ZERO, Z, INCX, XT, G,
  1471. $ XX, EPS, ERR, FATAL, NOUT,
  1472. $ .TRUE. )
  1473. ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
  1474. *
  1475. * Compute approximation to original vector.
  1476. *
  1477. DO 50 I = 1, N
  1478. Z( I ) = XX( 1 + ( I - 1 )*
  1479. $ ABS( INCX ) )
  1480. XX( 1 + ( I - 1 )*ABS( INCX ) )
  1481. $ = X( I )
  1482. 50 CONTINUE
  1483. CALL SMVCH( TRANS, N, N, ONE, A, NMAX, Z,
  1484. $ INCX, ZERO, X, INCX, XT, G,
  1485. $ XX, EPS, ERR, FATAL, NOUT,
  1486. $ .FALSE. )
  1487. END IF
  1488. ERRMAX = MAX( ERRMAX, ERR )
  1489. * If got really bad answer, report and return.
  1490. IF( FATAL )
  1491. $ GO TO 120
  1492. ELSE
  1493. * Avoid repeating tests with N.le.0.
  1494. GO TO 110
  1495. END IF
  1496. *
  1497. 60 CONTINUE
  1498. *
  1499. 70 CONTINUE
  1500. *
  1501. 80 CONTINUE
  1502. *
  1503. 90 CONTINUE
  1504. *
  1505. 100 CONTINUE
  1506. *
  1507. 110 CONTINUE
  1508. *
  1509. * Report result.
  1510. *
  1511. IF( ERRMAX.LT.THRESH )THEN
  1512. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1513. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1514. ELSE
  1515. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1516. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1517. END IF
  1518. GO TO 130
  1519. *
  1520. 120 CONTINUE
  1521. WRITE( NOUT, FMT = 9996 )SNAME
  1522. IF( FULL )THEN
  1523. WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
  1524. $ LDA, INCX
  1525. ELSE IF( BANDED )THEN
  1526. WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
  1527. $ K, LDA, INCX
  1528. ELSE IF( PACKED )THEN
  1529. WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
  1530. $ INCX
  1531. END IF
  1532. *
  1533. 130 CONTINUE
  1534. RETURN
  1535. *
  1536. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1537. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1538. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1539. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1540. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1541. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1542. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1543. $ ' (', I6, ' CALL', 'S)' )
  1544. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1545. $ ' (', I6, ' CALL', 'S)' )
  1546. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1547. $ 'ANGED INCORRECTLY *******' )
  1548. C 9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  1549. C $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  1550. C $ ' - SUSPECT *******' )
  1551. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  1552. 9995 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, I3, ', AP, ',
  1553. $ 'X,', I2, ') .' )
  1554. 9994 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, 2( I3, ',' ),
  1555. $ ' A,', I3, ', X,', I2, ') .' )
  1556. 9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, I3, ', A,',
  1557. $ I3, ', X,', I2, ') .' )
  1558. 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1559. $ '******' )
  1560. *
  1561. * End of SCHK3.
  1562. *
  1563. END
  1564. SUBROUTINE SCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1565. $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
  1566. $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
  1567. $ Z, IORDER )
  1568. *
  1569. * Tests SGER.
  1570. *
  1571. * Auxiliary routine for test program for Level 2 Blas.
  1572. *
  1573. * -- Written on 10-August-1987.
  1574. * Richard Hanson, Sandia National Labs.
  1575. * Jeremy Du Croz, NAG Central Office.
  1576. *
  1577. * .. Parameters ..
  1578. REAL ZERO, HALF, ONE
  1579. PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
  1580. * .. Scalar Arguments ..
  1581. REAL EPS, THRESH
  1582. INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
  1583. $ IORDER
  1584. LOGICAL FATAL, REWI, TRACE
  1585. CHARACTER*12 SNAME
  1586. * .. Array Arguments ..
  1587. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1588. $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
  1589. $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
  1590. $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
  1591. $ YY( NMAX*INCMAX ), Z( NMAX )
  1592. INTEGER IDIM( NIDIM ), INC( NINC )
  1593. * .. Local Scalars ..
  1594. REAL ALPHA, ALS, ERR, ERRMAX, TRANSL
  1595. INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
  1596. $ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
  1597. $ NC, ND, NS
  1598. LOGICAL NULL, RESET, SAME
  1599. * .. Local Arrays ..
  1600. REAL W( 1 )
  1601. LOGICAL ISAME( 13 )
  1602. * .. External Functions ..
  1603. LOGICAL LSE, LSERES
  1604. EXTERNAL LSE, LSERES
  1605. * .. External Subroutines ..
  1606. EXTERNAL CSGER, SMAKE, SMVCH
  1607. * .. Intrinsic Functions ..
  1608. INTRINSIC ABS, MAX, MIN
  1609. * .. Scalars in Common ..
  1610. INTEGER INFOT, NOUTC
  1611. LOGICAL OK
  1612. * .. Common blocks ..
  1613. COMMON /INFOC/INFOT, NOUTC, OK
  1614. * .. Executable Statements ..
  1615. * Define the number of arguments.
  1616. NARGS = 9
  1617. *
  1618. NC = 0
  1619. RESET = .TRUE.
  1620. ERRMAX = ZERO
  1621. *
  1622. DO 120 IN = 1, NIDIM
  1623. N = IDIM( IN )
  1624. ND = N/2 + 1
  1625. *
  1626. DO 110 IM = 1, 2
  1627. IF( IM.EQ.1 )
  1628. $ M = MAX( N - ND, 0 )
  1629. IF( IM.EQ.2 )
  1630. $ M = MIN( N + ND, NMAX )
  1631. *
  1632. * Set LDA to 1 more than minimum value if room.
  1633. LDA = M
  1634. IF( LDA.LT.NMAX )
  1635. $ LDA = LDA + 1
  1636. * Skip tests if not enough room.
  1637. IF( LDA.GT.NMAX )
  1638. $ GO TO 110
  1639. LAA = LDA*N
  1640. NULL = N.LE.0.OR.M.LE.0
  1641. *
  1642. DO 100 IX = 1, NINC
  1643. INCX = INC( IX )
  1644. LX = ABS( INCX )*M
  1645. *
  1646. * Generate the vector X.
  1647. *
  1648. TRANSL = HALF
  1649. CALL SMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
  1650. $ 0, M - 1, RESET, TRANSL )
  1651. IF( M.GT.1 )THEN
  1652. X( M/2 ) = ZERO
  1653. XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
  1654. END IF
  1655. *
  1656. DO 90 IY = 1, NINC
  1657. INCY = INC( IY )
  1658. LY = ABS( INCY )*N
  1659. *
  1660. * Generate the vector Y.
  1661. *
  1662. TRANSL = ZERO
  1663. CALL SMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
  1664. $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
  1665. IF( N.GT.1 )THEN
  1666. Y( N/2 ) = ZERO
  1667. YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
  1668. END IF
  1669. *
  1670. DO 80 IA = 1, NALF
  1671. ALPHA = ALF( IA )
  1672. *
  1673. * Generate the matrix A.
  1674. *
  1675. TRANSL = ZERO
  1676. CALL SMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
  1677. $ AA, LDA, M - 1, N - 1, RESET, TRANSL )
  1678. *
  1679. NC = NC + 1
  1680. *
  1681. * Save every datum before calling the subroutine.
  1682. *
  1683. MS = M
  1684. NS = N
  1685. ALS = ALPHA
  1686. DO 10 I = 1, LAA
  1687. AS( I ) = AA( I )
  1688. 10 CONTINUE
  1689. LDAS = LDA
  1690. DO 20 I = 1, LX
  1691. XS( I ) = XX( I )
  1692. 20 CONTINUE
  1693. INCXS = INCX
  1694. DO 30 I = 1, LY
  1695. YS( I ) = YY( I )
  1696. 30 CONTINUE
  1697. INCYS = INCY
  1698. *
  1699. * Call the subroutine.
  1700. *
  1701. IF( TRACE )
  1702. $ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
  1703. $ ALPHA, INCX, INCY, LDA
  1704. IF( REWI )
  1705. $ REWIND NTRA
  1706. CALL CSGER( IORDER, M, N, ALPHA, XX, INCX, YY,
  1707. $ INCY, AA, LDA )
  1708. *
  1709. * Check if error-exit was taken incorrectly.
  1710. *
  1711. IF( .NOT.OK )THEN
  1712. WRITE( NOUT, FMT = 9993 )
  1713. FATAL = .TRUE.
  1714. GO TO 140
  1715. END IF
  1716. *
  1717. * See what data changed inside subroutine.
  1718. *
  1719. ISAME( 1 ) = MS.EQ.M
  1720. ISAME( 2 ) = NS.EQ.N
  1721. ISAME( 3 ) = ALS.EQ.ALPHA
  1722. ISAME( 4 ) = LSE( XS, XX, LX )
  1723. ISAME( 5 ) = INCXS.EQ.INCX
  1724. ISAME( 6 ) = LSE( YS, YY, LY )
  1725. ISAME( 7 ) = INCYS.EQ.INCY
  1726. IF( NULL )THEN
  1727. ISAME( 8 ) = LSE( AS, AA, LAA )
  1728. ELSE
  1729. ISAME( 8 ) = LSERES( 'ge', ' ', M, N, AS, AA,
  1730. $ LDA )
  1731. END IF
  1732. ISAME( 9 ) = LDAS.EQ.LDA
  1733. *
  1734. * If data was incorrectly changed, report and return.
  1735. *
  1736. SAME = .TRUE.
  1737. DO 40 I = 1, NARGS
  1738. SAME = SAME.AND.ISAME( I )
  1739. IF( .NOT.ISAME( I ) )
  1740. $ WRITE( NOUT, FMT = 9998 )I
  1741. 40 CONTINUE
  1742. IF( .NOT.SAME )THEN
  1743. FATAL = .TRUE.
  1744. GO TO 140
  1745. END IF
  1746. *
  1747. IF( .NOT.NULL )THEN
  1748. *
  1749. * Check the result column by column.
  1750. *
  1751. IF( INCX.GT.0 )THEN
  1752. DO 50 I = 1, M
  1753. Z( I ) = X( I )
  1754. 50 CONTINUE
  1755. ELSE
  1756. DO 60 I = 1, M
  1757. Z( I ) = X( M - I + 1 )
  1758. 60 CONTINUE
  1759. END IF
  1760. DO 70 J = 1, N
  1761. IF( INCY.GT.0 )THEN
  1762. W( 1 ) = Y( J )
  1763. ELSE
  1764. W( 1 ) = Y( N - J + 1 )
  1765. END IF
  1766. CALL SMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1,
  1767. $ ONE, A( 1, J ), 1, YT, G,
  1768. $ AA( 1 + ( J - 1 )*LDA ), EPS,
  1769. $ ERR, FATAL, NOUT, .TRUE. )
  1770. ERRMAX = MAX( ERRMAX, ERR )
  1771. * If got really bad answer, report and return.
  1772. IF( FATAL )
  1773. $ GO TO 130
  1774. 70 CONTINUE
  1775. ELSE
  1776. * Avoid repeating tests with M.le.0 or N.le.0.
  1777. GO TO 110
  1778. END IF
  1779. *
  1780. 80 CONTINUE
  1781. *
  1782. 90 CONTINUE
  1783. *
  1784. 100 CONTINUE
  1785. *
  1786. 110 CONTINUE
  1787. *
  1788. 120 CONTINUE
  1789. *
  1790. * Report result.
  1791. *
  1792. IF( ERRMAX.LT.THRESH )THEN
  1793. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  1794. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  1795. ELSE
  1796. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  1797. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  1798. END IF
  1799. GO TO 150
  1800. *
  1801. 130 CONTINUE
  1802. WRITE( NOUT, FMT = 9995 )J
  1803. *
  1804. 140 CONTINUE
  1805. WRITE( NOUT, FMT = 9996 )SNAME
  1806. WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
  1807. *
  1808. 150 CONTINUE
  1809. RETURN
  1810. *
  1811. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  1812. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1813. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1814. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  1815. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  1816. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  1817. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  1818. $ ' (', I6, ' CALL', 'S)' )
  1819. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  1820. $ ' (', I6, ' CALL', 'S)' )
  1821. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  1822. $ 'ANGED INCORRECTLY *******' )
  1823. C 9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  1824. C $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  1825. C $ ' - SUSPECT *******' )
  1826. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  1827. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  1828. 9994 FORMAT( 1X, I6, ': ',A12, '(', 2( I3, ',' ), F4.1, ', X,', I2,
  1829. $ ', Y,', I2, ', A,', I3, ') .' )
  1830. 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  1831. $ '******' )
  1832. *
  1833. * End of SCHK4.
  1834. *
  1835. END
  1836. SUBROUTINE SCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  1837. $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
  1838. $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
  1839. $ Z, IORDER )
  1840. *
  1841. * Tests SSYR and SSPR.
  1842. *
  1843. * Auxiliary routine for test program for Level 2 Blas.
  1844. *
  1845. * -- Written on 10-August-1987.
  1846. * Richard Hanson, Sandia National Labs.
  1847. * Jeremy Du Croz, NAG Central Office.
  1848. *
  1849. * .. Parameters ..
  1850. REAL ZERO, HALF, ONE
  1851. PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
  1852. * .. Scalar Arguments ..
  1853. REAL EPS, THRESH
  1854. INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
  1855. $ IORDER
  1856. LOGICAL FATAL, REWI, TRACE
  1857. CHARACTER*12 SNAME
  1858. * .. Array Arguments ..
  1859. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  1860. $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
  1861. $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
  1862. $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
  1863. $ YY( NMAX*INCMAX ), Z( NMAX )
  1864. INTEGER IDIM( NIDIM ), INC( NINC )
  1865. * .. Local Scalars ..
  1866. REAL ALPHA, ALS, ERR, ERRMAX, TRANSL
  1867. INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA,
  1868. $ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
  1869. LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
  1870. CHARACTER*1 UPLO, UPLOS
  1871. CHARACTER*14 CUPLO
  1872. CHARACTER*2 ICH
  1873. * .. Local Arrays ..
  1874. REAL W( 1 )
  1875. LOGICAL ISAME( 13 )
  1876. * .. External Functions ..
  1877. LOGICAL LSE, LSERES
  1878. EXTERNAL LSE, LSERES
  1879. * .. External Subroutines ..
  1880. EXTERNAL SMAKE, SMVCH, CSSPR, CSSYR
  1881. * .. Intrinsic Functions ..
  1882. INTRINSIC ABS, MAX
  1883. * .. Scalars in Common ..
  1884. INTEGER INFOT, NOUTC
  1885. LOGICAL OK
  1886. * .. Common blocks ..
  1887. COMMON /INFOC/INFOT, NOUTC, OK
  1888. * .. Data statements ..
  1889. DATA ICH/'UL'/
  1890. * .. Executable Statements ..
  1891. FULL = SNAME( 9: 9 ).EQ.'y'
  1892. PACKED = SNAME( 9: 9 ).EQ.'p'
  1893. * Define the number of arguments.
  1894. IF( FULL )THEN
  1895. NARGS = 7
  1896. ELSE IF( PACKED )THEN
  1897. NARGS = 6
  1898. END IF
  1899. *
  1900. NC = 0
  1901. RESET = .TRUE.
  1902. ERRMAX = ZERO
  1903. *
  1904. DO 100 IN = 1, NIDIM
  1905. N = IDIM( IN )
  1906. * Set LDA to 1 more than minimum value if room.
  1907. LDA = N
  1908. IF( LDA.LT.NMAX )
  1909. $ LDA = LDA + 1
  1910. * Skip tests if not enough room.
  1911. IF( LDA.GT.NMAX )
  1912. $ GO TO 100
  1913. IF( PACKED )THEN
  1914. LAA = ( N*( N + 1 ) )/2
  1915. ELSE
  1916. LAA = LDA*N
  1917. END IF
  1918. *
  1919. DO 90 IC = 1, 2
  1920. UPLO = ICH( IC: IC )
  1921. IF (UPLO.EQ.'U')THEN
  1922. CUPLO = ' CblasUpper'
  1923. ELSE
  1924. CUPLO = ' CblasLower'
  1925. END IF
  1926. UPPER = UPLO.EQ.'U'
  1927. *
  1928. DO 80 IX = 1, NINC
  1929. INCX = INC( IX )
  1930. LX = ABS( INCX )*N
  1931. *
  1932. * Generate the vector X.
  1933. *
  1934. TRANSL = HALF
  1935. CALL SMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
  1936. $ 0, N - 1, RESET, TRANSL )
  1937. IF( N.GT.1 )THEN
  1938. X( N/2 ) = ZERO
  1939. XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
  1940. END IF
  1941. *
  1942. DO 70 IA = 1, NALF
  1943. ALPHA = ALF( IA )
  1944. NULL = N.LE.0.OR.ALPHA.EQ.ZERO
  1945. *
  1946. * Generate the matrix A.
  1947. *
  1948. TRANSL = ZERO
  1949. CALL SMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
  1950. $ AA, LDA, N - 1, N - 1, RESET, TRANSL )
  1951. *
  1952. NC = NC + 1
  1953. *
  1954. * Save every datum before calling the subroutine.
  1955. *
  1956. UPLOS = UPLO
  1957. NS = N
  1958. ALS = ALPHA
  1959. DO 10 I = 1, LAA
  1960. AS( I ) = AA( I )
  1961. 10 CONTINUE
  1962. LDAS = LDA
  1963. DO 20 I = 1, LX
  1964. XS( I ) = XX( I )
  1965. 20 CONTINUE
  1966. INCXS = INCX
  1967. *
  1968. * Call the subroutine.
  1969. *
  1970. IF( FULL )THEN
  1971. IF( TRACE )
  1972. $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
  1973. $ ALPHA, INCX, LDA
  1974. IF( REWI )
  1975. $ REWIND NTRA
  1976. CALL CSSYR( IORDER, UPLO, N, ALPHA, XX, INCX,
  1977. $ AA, LDA )
  1978. ELSE IF( PACKED )THEN
  1979. IF( TRACE )
  1980. $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
  1981. $ ALPHA, INCX
  1982. IF( REWI )
  1983. $ REWIND NTRA
  1984. CALL CSSPR( IORDER, UPLO, N, ALPHA, XX, INCX, AA )
  1985. END IF
  1986. *
  1987. * Check if error-exit was taken incorrectly.
  1988. *
  1989. IF( .NOT.OK )THEN
  1990. WRITE( NOUT, FMT = 9992 )
  1991. FATAL = .TRUE.
  1992. GO TO 120
  1993. END IF
  1994. *
  1995. * See what data changed inside subroutines.
  1996. *
  1997. ISAME( 1 ) = UPLO.EQ.UPLOS
  1998. ISAME( 2 ) = NS.EQ.N
  1999. ISAME( 3 ) = ALS.EQ.ALPHA
  2000. ISAME( 4 ) = LSE( XS, XX, LX )
  2001. ISAME( 5 ) = INCXS.EQ.INCX
  2002. IF( NULL )THEN
  2003. ISAME( 6 ) = LSE( AS, AA, LAA )
  2004. ELSE
  2005. ISAME( 6 ) = LSERES( SNAME( 8: 9 ), UPLO, N, N, AS,
  2006. $ AA, LDA )
  2007. END IF
  2008. IF( .NOT.PACKED )THEN
  2009. ISAME( 7 ) = LDAS.EQ.LDA
  2010. END IF
  2011. *
  2012. * If data was incorrectly changed, report and return.
  2013. *
  2014. SAME = .TRUE.
  2015. DO 30 I = 1, NARGS
  2016. SAME = SAME.AND.ISAME( I )
  2017. IF( .NOT.ISAME( I ) )
  2018. $ WRITE( NOUT, FMT = 9998 )I
  2019. 30 CONTINUE
  2020. IF( .NOT.SAME )THEN
  2021. FATAL = .TRUE.
  2022. GO TO 120
  2023. END IF
  2024. *
  2025. IF( .NOT.NULL )THEN
  2026. *
  2027. * Check the result column by column.
  2028. *
  2029. IF( INCX.GT.0 )THEN
  2030. DO 40 I = 1, N
  2031. Z( I ) = X( I )
  2032. 40 CONTINUE
  2033. ELSE
  2034. DO 50 I = 1, N
  2035. Z( I ) = X( N - I + 1 )
  2036. 50 CONTINUE
  2037. END IF
  2038. JA = 1
  2039. DO 60 J = 1, N
  2040. W( 1 ) = Z( J )
  2041. IF( UPPER )THEN
  2042. JJ = 1
  2043. LJ = J
  2044. ELSE
  2045. JJ = J
  2046. LJ = N - J + 1
  2047. END IF
  2048. CALL SMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W,
  2049. $ 1, ONE, A( JJ, J ), 1, YT, G,
  2050. $ AA( JA ), EPS, ERR, FATAL, NOUT,
  2051. $ .TRUE. )
  2052. IF( FULL )THEN
  2053. IF( UPPER )THEN
  2054. JA = JA + LDA
  2055. ELSE
  2056. JA = JA + LDA + 1
  2057. END IF
  2058. ELSE
  2059. JA = JA + LJ
  2060. END IF
  2061. ERRMAX = MAX( ERRMAX, ERR )
  2062. * If got really bad answer, report and return.
  2063. IF( FATAL )
  2064. $ GO TO 110
  2065. 60 CONTINUE
  2066. ELSE
  2067. * Avoid repeating tests if N.le.0.
  2068. IF( N.LE.0 )
  2069. $ GO TO 100
  2070. END IF
  2071. *
  2072. 70 CONTINUE
  2073. *
  2074. 80 CONTINUE
  2075. *
  2076. 90 CONTINUE
  2077. *
  2078. 100 CONTINUE
  2079. *
  2080. * Report result.
  2081. *
  2082. IF( ERRMAX.LT.THRESH )THEN
  2083. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  2084. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  2085. ELSE
  2086. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  2087. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  2088. END IF
  2089. GO TO 130
  2090. *
  2091. 110 CONTINUE
  2092. WRITE( NOUT, FMT = 9995 )J
  2093. *
  2094. 120 CONTINUE
  2095. WRITE( NOUT, FMT = 9996 )SNAME
  2096. IF( FULL )THEN
  2097. WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX, LDA
  2098. ELSE IF( PACKED )THEN
  2099. WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX
  2100. END IF
  2101. *
  2102. 130 CONTINUE
  2103. RETURN
  2104. *
  2105. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  2106. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2107. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2108. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  2109. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2110. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2111. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  2112. $ ' (', I6, ' CALL', 'S)' )
  2113. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  2114. $ ' (', I6, ' CALL', 'S)' )
  2115. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  2116. $ 'ANGED INCORRECTLY *******' )
  2117. C 9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  2118. C $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  2119. C $ ' - SUSPECT *******' )
  2120. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  2121. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2122. 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
  2123. $ I2, ', AP) .' )
  2124. 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
  2125. $ I2, ', A,', I3, ') .' )
  2126. 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  2127. $ '******' )
  2128. *
  2129. * End of SCHK5.
  2130. *
  2131. END
  2132. SUBROUTINE SCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
  2133. $ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
  2134. $ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
  2135. $ Z, IORDER )
  2136. *
  2137. * Tests SSYR2 and SSPR2.
  2138. *
  2139. * Auxiliary routine for test program for Level 2 Blas.
  2140. *
  2141. * -- Written on 10-August-1987.
  2142. * Richard Hanson, Sandia National Labs.
  2143. * Jeremy Du Croz, NAG Central Office.
  2144. *
  2145. * .. Parameters ..
  2146. REAL ZERO, HALF, ONE
  2147. PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
  2148. * .. Scalar Arguments ..
  2149. REAL EPS, THRESH
  2150. INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
  2151. $ IORDER
  2152. LOGICAL FATAL, REWI, TRACE
  2153. CHARACTER*12 SNAME
  2154. * .. Array Arguments ..
  2155. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
  2156. $ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
  2157. $ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
  2158. $ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
  2159. $ YY( NMAX*INCMAX ), Z( NMAX, 2 )
  2160. INTEGER IDIM( NIDIM ), INC( NINC )
  2161. * .. Local Scalars ..
  2162. REAL ALPHA, ALS, ERR, ERRMAX, TRANSL
  2163. INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX,
  2164. $ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
  2165. $ NARGS, NC, NS
  2166. LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
  2167. CHARACTER*1 UPLO, UPLOS
  2168. CHARACTER*14 CUPLO
  2169. CHARACTER*2 ICH
  2170. * .. Local Arrays ..
  2171. REAL W( 2 )
  2172. LOGICAL ISAME( 13 )
  2173. * .. External Functions ..
  2174. LOGICAL LSE, LSERES
  2175. EXTERNAL LSE, LSERES
  2176. * .. External Subroutines ..
  2177. EXTERNAL SMAKE, SMVCH, CSSPR2, CSSYR2
  2178. * .. Intrinsic Functions ..
  2179. INTRINSIC ABS, MAX
  2180. * .. Scalars in Common ..
  2181. INTEGER INFOT, NOUTC
  2182. LOGICAL OK
  2183. * .. Common blocks ..
  2184. COMMON /INFOC/INFOT, NOUTC, OK
  2185. * .. Data statements ..
  2186. DATA ICH/'UL'/
  2187. * .. Executable Statements ..
  2188. FULL = SNAME( 9: 9 ).EQ.'y'
  2189. PACKED = SNAME( 9: 9 ).EQ.'p'
  2190. * Define the number of arguments.
  2191. IF( FULL )THEN
  2192. NARGS = 9
  2193. ELSE IF( PACKED )THEN
  2194. NARGS = 8
  2195. END IF
  2196. *
  2197. NC = 0
  2198. RESET = .TRUE.
  2199. ERRMAX = ZERO
  2200. *
  2201. DO 140 IN = 1, NIDIM
  2202. N = IDIM( IN )
  2203. * Set LDA to 1 more than minimum value if room.
  2204. LDA = N
  2205. IF( LDA.LT.NMAX )
  2206. $ LDA = LDA + 1
  2207. * Skip tests if not enough room.
  2208. IF( LDA.GT.NMAX )
  2209. $ GO TO 140
  2210. IF( PACKED )THEN
  2211. LAA = ( N*( N + 1 ) )/2
  2212. ELSE
  2213. LAA = LDA*N
  2214. END IF
  2215. *
  2216. DO 130 IC = 1, 2
  2217. UPLO = ICH( IC: IC )
  2218. IF (UPLO.EQ.'U')THEN
  2219. CUPLO = ' CblasUpper'
  2220. ELSE
  2221. CUPLO = ' CblasLower'
  2222. END IF
  2223. UPPER = UPLO.EQ.'U'
  2224. *
  2225. DO 120 IX = 1, NINC
  2226. INCX = INC( IX )
  2227. LX = ABS( INCX )*N
  2228. *
  2229. * Generate the vector X.
  2230. *
  2231. TRANSL = HALF
  2232. CALL SMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
  2233. $ 0, N - 1, RESET, TRANSL )
  2234. IF( N.GT.1 )THEN
  2235. X( N/2 ) = ZERO
  2236. XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
  2237. END IF
  2238. *
  2239. DO 110 IY = 1, NINC
  2240. INCY = INC( IY )
  2241. LY = ABS( INCY )*N
  2242. *
  2243. * Generate the vector Y.
  2244. *
  2245. TRANSL = ZERO
  2246. CALL SMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
  2247. $ ABS( INCY ), 0, N - 1, RESET, TRANSL )
  2248. IF( N.GT.1 )THEN
  2249. Y( N/2 ) = ZERO
  2250. YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
  2251. END IF
  2252. *
  2253. DO 100 IA = 1, NALF
  2254. ALPHA = ALF( IA )
  2255. NULL = N.LE.0.OR.ALPHA.EQ.ZERO
  2256. *
  2257. * Generate the matrix A.
  2258. *
  2259. TRANSL = ZERO
  2260. CALL SMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
  2261. $ NMAX, AA, LDA, N - 1, N - 1, RESET,
  2262. $ TRANSL )
  2263. *
  2264. NC = NC + 1
  2265. *
  2266. * Save every datum before calling the subroutine.
  2267. *
  2268. UPLOS = UPLO
  2269. NS = N
  2270. ALS = ALPHA
  2271. DO 10 I = 1, LAA
  2272. AS( I ) = AA( I )
  2273. 10 CONTINUE
  2274. LDAS = LDA
  2275. DO 20 I = 1, LX
  2276. XS( I ) = XX( I )
  2277. 20 CONTINUE
  2278. INCXS = INCX
  2279. DO 30 I = 1, LY
  2280. YS( I ) = YY( I )
  2281. 30 CONTINUE
  2282. INCYS = INCY
  2283. *
  2284. * Call the subroutine.
  2285. *
  2286. IF( FULL )THEN
  2287. IF( TRACE )
  2288. $ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
  2289. $ ALPHA, INCX, INCY, LDA
  2290. IF( REWI )
  2291. $ REWIND NTRA
  2292. CALL CSSYR2( IORDER, UPLO, N, ALPHA, XX, INCX,
  2293. $ YY, INCY, AA, LDA )
  2294. ELSE IF( PACKED )THEN
  2295. IF( TRACE )
  2296. $ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
  2297. $ ALPHA, INCX, INCY
  2298. IF( REWI )
  2299. $ REWIND NTRA
  2300. CALL CSSPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
  2301. $ YY, INCY, AA )
  2302. END IF
  2303. *
  2304. * Check if error-exit was taken incorrectly.
  2305. *
  2306. IF( .NOT.OK )THEN
  2307. WRITE( NOUT, FMT = 9992 )
  2308. FATAL = .TRUE.
  2309. GO TO 160
  2310. END IF
  2311. *
  2312. * See what data changed inside subroutines.
  2313. *
  2314. ISAME( 1 ) = UPLO.EQ.UPLOS
  2315. ISAME( 2 ) = NS.EQ.N
  2316. ISAME( 3 ) = ALS.EQ.ALPHA
  2317. ISAME( 4 ) = LSE( XS, XX, LX )
  2318. ISAME( 5 ) = INCXS.EQ.INCX
  2319. ISAME( 6 ) = LSE( YS, YY, LY )
  2320. ISAME( 7 ) = INCYS.EQ.INCY
  2321. IF( NULL )THEN
  2322. ISAME( 8 ) = LSE( AS, AA, LAA )
  2323. ELSE
  2324. ISAME( 8 ) = LSERES( SNAME( 8: 9 ), UPLO, N, N,
  2325. $ AS, AA, LDA )
  2326. END IF
  2327. IF( .NOT.PACKED )THEN
  2328. ISAME( 9 ) = LDAS.EQ.LDA
  2329. END IF
  2330. *
  2331. * If data was incorrectly changed, report and return.
  2332. *
  2333. SAME = .TRUE.
  2334. DO 40 I = 1, NARGS
  2335. SAME = SAME.AND.ISAME( I )
  2336. IF( .NOT.ISAME( I ) )
  2337. $ WRITE( NOUT, FMT = 9998 )I
  2338. 40 CONTINUE
  2339. IF( .NOT.SAME )THEN
  2340. FATAL = .TRUE.
  2341. GO TO 160
  2342. END IF
  2343. *
  2344. IF( .NOT.NULL )THEN
  2345. *
  2346. * Check the result column by column.
  2347. *
  2348. IF( INCX.GT.0 )THEN
  2349. DO 50 I = 1, N
  2350. Z( I, 1 ) = X( I )
  2351. 50 CONTINUE
  2352. ELSE
  2353. DO 60 I = 1, N
  2354. Z( I, 1 ) = X( N - I + 1 )
  2355. 60 CONTINUE
  2356. END IF
  2357. IF( INCY.GT.0 )THEN
  2358. DO 70 I = 1, N
  2359. Z( I, 2 ) = Y( I )
  2360. 70 CONTINUE
  2361. ELSE
  2362. DO 80 I = 1, N
  2363. Z( I, 2 ) = Y( N - I + 1 )
  2364. 80 CONTINUE
  2365. END IF
  2366. JA = 1
  2367. DO 90 J = 1, N
  2368. W( 1 ) = Z( J, 2 )
  2369. W( 2 ) = Z( J, 1 )
  2370. IF( UPPER )THEN
  2371. JJ = 1
  2372. LJ = J
  2373. ELSE
  2374. JJ = J
  2375. LJ = N - J + 1
  2376. END IF
  2377. CALL SMVCH( 'N', LJ, 2, ALPHA, Z( JJ, 1 ),
  2378. $ NMAX, W, 1, ONE, A( JJ, J ), 1,
  2379. $ YT, G, AA( JA ), EPS, ERR, FATAL,
  2380. $ NOUT, .TRUE. )
  2381. IF( FULL )THEN
  2382. IF( UPPER )THEN
  2383. JA = JA + LDA
  2384. ELSE
  2385. JA = JA + LDA + 1
  2386. END IF
  2387. ELSE
  2388. JA = JA + LJ
  2389. END IF
  2390. ERRMAX = MAX( ERRMAX, ERR )
  2391. * If got really bad answer, report and return.
  2392. IF( FATAL )
  2393. $ GO TO 150
  2394. 90 CONTINUE
  2395. ELSE
  2396. * Avoid repeating tests with N.le.0.
  2397. IF( N.LE.0 )
  2398. $ GO TO 140
  2399. END IF
  2400. *
  2401. 100 CONTINUE
  2402. *
  2403. 110 CONTINUE
  2404. *
  2405. 120 CONTINUE
  2406. *
  2407. 130 CONTINUE
  2408. *
  2409. 140 CONTINUE
  2410. *
  2411. * Report result.
  2412. *
  2413. IF( ERRMAX.LT.THRESH )THEN
  2414. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
  2415. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
  2416. ELSE
  2417. IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
  2418. IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
  2419. END IF
  2420. GO TO 170
  2421. *
  2422. 150 CONTINUE
  2423. WRITE( NOUT, FMT = 9995 )J
  2424. *
  2425. 160 CONTINUE
  2426. WRITE( NOUT, FMT = 9996 )SNAME
  2427. IF( FULL )THEN
  2428. WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
  2429. $ INCY, LDA
  2430. ELSE IF( PACKED )THEN
  2431. WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
  2432. END IF
  2433. *
  2434. 170 CONTINUE
  2435. RETURN
  2436. *
  2437. 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
  2438. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2439. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2440. 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
  2441. $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
  2442. $ 'RATIO ', F8.2, ' - SUSPECT *******' )
  2443. 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
  2444. $ ' (', I6, ' CALL', 'S)' )
  2445. 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
  2446. $ ' (', I6, ' CALL', 'S)' )
  2447. 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
  2448. $ 'ANGED INCORRECTLY *******' )
  2449. C 9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
  2450. C $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
  2451. C $ ' - SUSPECT *******' )
  2452. 9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
  2453. 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
  2454. 9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
  2455. $ I2, ', Y,', I2, ', AP) .' )
  2456. 9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
  2457. $ I2, ', Y,', I2, ', A,', I3, ') .' )
  2458. 9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
  2459. $ '******' )
  2460. *
  2461. * End of SCHK6.
  2462. *
  2463. END
  2464. SUBROUTINE SMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
  2465. $ KU, RESET, TRANSL )
  2466. *
  2467. * Generates values for an M by N matrix A within the bandwidth
  2468. * defined by KL and KU.
  2469. * Stores the values in the array AA in the data structure required
  2470. * by the routine, with unwanted elements set to rogue value.
  2471. *
  2472. * TYPE is 'ge', 'gb', 'sy', 'sb', 'sp', 'tr', 'tb' OR 'tp'.
  2473. *
  2474. * Auxiliary routine for test program for Level 2 Blas.
  2475. *
  2476. * -- Written on 10-August-1987.
  2477. * Richard Hanson, Sandia National Labs.
  2478. * Jeremy Du Croz, NAG Central Office.
  2479. *
  2480. * .. Parameters ..
  2481. REAL ZERO, ONE
  2482. PARAMETER ( ZERO = 0.0, ONE = 1.0 )
  2483. REAL ROGUE
  2484. PARAMETER ( ROGUE = -1.0E10 )
  2485. * .. Scalar Arguments ..
  2486. REAL TRANSL
  2487. INTEGER KL, KU, LDA, M, N, NMAX
  2488. LOGICAL RESET
  2489. CHARACTER*1 DIAG, UPLO
  2490. CHARACTER*2 TYPE
  2491. * .. Array Arguments ..
  2492. REAL A( NMAX, * ), AA( * )
  2493. * .. Local Scalars ..
  2494. INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK
  2495. LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
  2496. * .. External Functions ..
  2497. REAL SBEG
  2498. EXTERNAL SBEG
  2499. * .. Intrinsic Functions ..
  2500. INTRINSIC MAX, MIN
  2501. * .. Executable Statements ..
  2502. GEN = TYPE( 1: 1 ).EQ.'g'
  2503. SYM = TYPE( 1: 1 ).EQ.'s'
  2504. TRI = TYPE( 1: 1 ).EQ.'t'
  2505. UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
  2506. LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L'
  2507. UNIT = TRI.AND.DIAG.EQ.'U'
  2508. *
  2509. * Generate data in array A.
  2510. *
  2511. DO 20 J = 1, N
  2512. DO 10 I = 1, M
  2513. IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
  2514. $ THEN
  2515. IF( ( I.LE.J.AND.J - I.LE.KU ).OR.
  2516. $ ( I.GE.J.AND.I - J.LE.KL ) )THEN
  2517. A( I, J ) = SBEG( RESET ) + TRANSL
  2518. ELSE
  2519. A( I, J ) = ZERO
  2520. END IF
  2521. IF( I.NE.J )THEN
  2522. IF( SYM )THEN
  2523. A( J, I ) = A( I, J )
  2524. ELSE IF( TRI )THEN
  2525. A( J, I ) = ZERO
  2526. END IF
  2527. END IF
  2528. END IF
  2529. 10 CONTINUE
  2530. IF( TRI )
  2531. $ A( J, J ) = A( J, J ) + ONE
  2532. IF( UNIT )
  2533. $ A( J, J ) = ONE
  2534. 20 CONTINUE
  2535. *
  2536. * Store elements in array AS in data structure required by routine.
  2537. *
  2538. IF( TYPE.EQ.'ge' )THEN
  2539. DO 50 J = 1, N
  2540. DO 30 I = 1, M
  2541. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2542. 30 CONTINUE
  2543. DO 40 I = M + 1, LDA
  2544. AA( I + ( J - 1 )*LDA ) = ROGUE
  2545. 40 CONTINUE
  2546. 50 CONTINUE
  2547. ELSE IF( TYPE.EQ.'gb' )THEN
  2548. DO 90 J = 1, N
  2549. DO 60 I1 = 1, KU + 1 - J
  2550. AA( I1 + ( J - 1 )*LDA ) = ROGUE
  2551. 60 CONTINUE
  2552. DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
  2553. AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J )
  2554. 70 CONTINUE
  2555. DO 80 I3 = I2, LDA
  2556. AA( I3 + ( J - 1 )*LDA ) = ROGUE
  2557. 80 CONTINUE
  2558. 90 CONTINUE
  2559. ELSE IF( TYPE.EQ.'sy'.OR.TYPE.EQ.'tr' )THEN
  2560. DO 130 J = 1, N
  2561. IF( UPPER )THEN
  2562. IBEG = 1
  2563. IF( UNIT )THEN
  2564. IEND = J - 1
  2565. ELSE
  2566. IEND = J
  2567. END IF
  2568. ELSE
  2569. IF( UNIT )THEN
  2570. IBEG = J + 1
  2571. ELSE
  2572. IBEG = J
  2573. END IF
  2574. IEND = N
  2575. END IF
  2576. DO 100 I = 1, IBEG - 1
  2577. AA( I + ( J - 1 )*LDA ) = ROGUE
  2578. 100 CONTINUE
  2579. DO 110 I = IBEG, IEND
  2580. AA( I + ( J - 1 )*LDA ) = A( I, J )
  2581. 110 CONTINUE
  2582. DO 120 I = IEND + 1, LDA
  2583. AA( I + ( J - 1 )*LDA ) = ROGUE
  2584. 120 CONTINUE
  2585. 130 CONTINUE
  2586. ELSE IF( TYPE.EQ.'sb'.OR.TYPE.EQ.'tb' )THEN
  2587. DO 170 J = 1, N
  2588. IF( UPPER )THEN
  2589. KK = KL + 1
  2590. IBEG = MAX( 1, KL + 2 - J )
  2591. IF( UNIT )THEN
  2592. IEND = KL
  2593. ELSE
  2594. IEND = KL + 1
  2595. END IF
  2596. ELSE
  2597. KK = 1
  2598. IF( UNIT )THEN
  2599. IBEG = 2
  2600. ELSE
  2601. IBEG = 1
  2602. END IF
  2603. IEND = MIN( KL + 1, 1 + M - J )
  2604. END IF
  2605. DO 140 I = 1, IBEG - 1
  2606. AA( I + ( J - 1 )*LDA ) = ROGUE
  2607. 140 CONTINUE
  2608. DO 150 I = IBEG, IEND
  2609. AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
  2610. 150 CONTINUE
  2611. DO 160 I = IEND + 1, LDA
  2612. AA( I + ( J - 1 )*LDA ) = ROGUE
  2613. 160 CONTINUE
  2614. 170 CONTINUE
  2615. ELSE IF( TYPE.EQ.'sp'.OR.TYPE.EQ.'tp' )THEN
  2616. IOFF = 0
  2617. DO 190 J = 1, N
  2618. IF( UPPER )THEN
  2619. IBEG = 1
  2620. IEND = J
  2621. ELSE
  2622. IBEG = J
  2623. IEND = N
  2624. END IF
  2625. DO 180 I = IBEG, IEND
  2626. IOFF = IOFF + 1
  2627. AA( IOFF ) = A( I, J )
  2628. IF( I.EQ.J )THEN
  2629. IF( UNIT )
  2630. $ AA( IOFF ) = ROGUE
  2631. END IF
  2632. 180 CONTINUE
  2633. 190 CONTINUE
  2634. END IF
  2635. RETURN
  2636. *
  2637. * End of SMAKE.
  2638. *
  2639. END
  2640. SUBROUTINE SMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
  2641. $ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
  2642. *
  2643. * Checks the results of the computational tests.
  2644. *
  2645. * Auxiliary routine for test program for Level 2 Blas.
  2646. *
  2647. * -- Written on 10-August-1987.
  2648. * Richard Hanson, Sandia National Labs.
  2649. * Jeremy Du Croz, NAG Central Office.
  2650. *
  2651. * .. Parameters ..
  2652. REAL ZERO, ONE
  2653. PARAMETER ( ZERO = 0.0, ONE = 1.0 )
  2654. * .. Scalar Arguments ..
  2655. REAL ALPHA, BETA, EPS, ERR
  2656. INTEGER INCX, INCY, M, N, NMAX, NOUT
  2657. LOGICAL FATAL, MV
  2658. CHARACTER*1 TRANS
  2659. * .. Array Arguments ..
  2660. REAL A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ),
  2661. $ YY( * )
  2662. * .. Local Scalars ..
  2663. REAL ERRI
  2664. INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
  2665. LOGICAL TRAN
  2666. * .. Intrinsic Functions ..
  2667. INTRINSIC ABS, MAX, SQRT
  2668. * .. Executable Statements ..
  2669. TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
  2670. IF( TRAN )THEN
  2671. ML = N
  2672. NL = M
  2673. ELSE
  2674. ML = M
  2675. NL = N
  2676. END IF
  2677. IF( INCX.LT.0 )THEN
  2678. KX = NL
  2679. INCXL = -1
  2680. ELSE
  2681. KX = 1
  2682. INCXL = 1
  2683. END IF
  2684. IF( INCY.LT.0 )THEN
  2685. KY = ML
  2686. INCYL = -1
  2687. ELSE
  2688. KY = 1
  2689. INCYL = 1
  2690. END IF
  2691. *
  2692. * Compute expected result in YT using data in A, X and Y.
  2693. * Compute gauges in G.
  2694. *
  2695. IY = KY
  2696. DO 30 I = 1, ML
  2697. YT( IY ) = ZERO
  2698. G( IY ) = ZERO
  2699. JX = KX
  2700. IF( TRAN )THEN
  2701. DO 10 J = 1, NL
  2702. YT( IY ) = YT( IY ) + A( J, I )*X( JX )
  2703. G( IY ) = G( IY ) + ABS( A( J, I )*X( JX ) )
  2704. JX = JX + INCXL
  2705. 10 CONTINUE
  2706. ELSE
  2707. DO 20 J = 1, NL
  2708. YT( IY ) = YT( IY ) + A( I, J )*X( JX )
  2709. G( IY ) = G( IY ) + ABS( A( I, J )*X( JX ) )
  2710. JX = JX + INCXL
  2711. 20 CONTINUE
  2712. END IF
  2713. YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
  2714. G( IY ) = ABS( ALPHA )*G( IY ) + ABS( BETA*Y( IY ) )
  2715. IY = IY + INCYL
  2716. 30 CONTINUE
  2717. *
  2718. * Compute the error ratio for this result.
  2719. *
  2720. ERR = ZERO
  2721. DO 40 I = 1, ML
  2722. ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
  2723. IF( G( I ).NE.ZERO )
  2724. $ ERRI = ERRI/G( I )
  2725. ERR = MAX( ERR, ERRI )
  2726. IF( ERR*SQRT( EPS ).GE.ONE )
  2727. $ GO TO 50
  2728. 40 CONTINUE
  2729. * If the loop completes, all results are at least half accurate.
  2730. GO TO 70
  2731. *
  2732. * Report fatal error.
  2733. *
  2734. 50 FATAL = .TRUE.
  2735. WRITE( NOUT, FMT = 9999 )
  2736. DO 60 I = 1, ML
  2737. IF( MV )THEN
  2738. WRITE( NOUT, FMT = 9998 )I, YT( I ),
  2739. $ YY( 1 + ( I - 1 )*ABS( INCY ) )
  2740. ELSE
  2741. WRITE( NOUT, FMT = 9998 )I,
  2742. $ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT(I)
  2743. END IF
  2744. 60 CONTINUE
  2745. *
  2746. 70 CONTINUE
  2747. RETURN
  2748. *
  2749. 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
  2750. $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU',
  2751. $ 'TED RESULT' )
  2752. 9998 FORMAT( 1X, I7, 2G18.6 )
  2753. *
  2754. * End of SMVCH.
  2755. *
  2756. END
  2757. LOGICAL FUNCTION LSE( RI, RJ, LR )
  2758. *
  2759. * Tests if two arrays are identical.
  2760. *
  2761. * Auxiliary routine for test program for Level 2 Blas.
  2762. *
  2763. * -- Written on 10-August-1987.
  2764. * Richard Hanson, Sandia National Labs.
  2765. * Jeremy Du Croz, NAG Central Office.
  2766. *
  2767. * .. Scalar Arguments ..
  2768. INTEGER LR
  2769. * .. Array Arguments ..
  2770. REAL RI( * ), RJ( * )
  2771. * .. Local Scalars ..
  2772. INTEGER I
  2773. * .. Executable Statements ..
  2774. DO 10 I = 1, LR
  2775. IF( RI( I ).NE.RJ( I ) )
  2776. $ GO TO 20
  2777. 10 CONTINUE
  2778. LSE = .TRUE.
  2779. GO TO 30
  2780. 20 CONTINUE
  2781. LSE = .FALSE.
  2782. 30 RETURN
  2783. *
  2784. * End of LSE.
  2785. *
  2786. END
  2787. LOGICAL FUNCTION LSERES( TYPE, UPLO, M, N, AA, AS, LDA )
  2788. *
  2789. * Tests if selected elements in two arrays are equal.
  2790. *
  2791. * TYPE is 'ge', 'sy' or 'sp'.
  2792. *
  2793. * Auxiliary routine for test program for Level 2 Blas.
  2794. *
  2795. * -- Written on 10-August-1987.
  2796. * Richard Hanson, Sandia National Labs.
  2797. * Jeremy Du Croz, NAG Central Office.
  2798. *
  2799. * .. Scalar Arguments ..
  2800. INTEGER LDA, M, N
  2801. CHARACTER*1 UPLO
  2802. CHARACTER*2 TYPE
  2803. * .. Array Arguments ..
  2804. REAL AA( LDA, * ), AS( LDA, * )
  2805. * .. Local Scalars ..
  2806. INTEGER I, IBEG, IEND, J
  2807. LOGICAL UPPER
  2808. * .. Executable Statements ..
  2809. UPPER = UPLO.EQ.'U'
  2810. IF( TYPE.EQ.'ge' )THEN
  2811. DO 20 J = 1, N
  2812. DO 10 I = M + 1, LDA
  2813. IF( AA( I, J ).NE.AS( I, J ) )
  2814. $ GO TO 70
  2815. 10 CONTINUE
  2816. 20 CONTINUE
  2817. ELSE IF( TYPE.EQ.'sy' )THEN
  2818. DO 50 J = 1, N
  2819. IF( UPPER )THEN
  2820. IBEG = 1
  2821. IEND = J
  2822. ELSE
  2823. IBEG = J
  2824. IEND = N
  2825. END IF
  2826. DO 30 I = 1, IBEG - 1
  2827. IF( AA( I, J ).NE.AS( I, J ) )
  2828. $ GO TO 70
  2829. 30 CONTINUE
  2830. DO 40 I = IEND + 1, LDA
  2831. IF( AA( I, J ).NE.AS( I, J ) )
  2832. $ GO TO 70
  2833. 40 CONTINUE
  2834. 50 CONTINUE
  2835. END IF
  2836. *
  2837. C 60 CONTINUE
  2838. LSERES = .TRUE.
  2839. GO TO 80
  2840. 70 CONTINUE
  2841. LSERES = .FALSE.
  2842. 80 RETURN
  2843. *
  2844. * End of LSERES.
  2845. *
  2846. END
  2847. REAL FUNCTION SBEG( RESET )
  2848. *
  2849. * Generates random numbers uniformly distributed between -0.5 and 0.5.
  2850. *
  2851. * Auxiliary routine for test program for Level 2 Blas.
  2852. *
  2853. * -- Written on 10-August-1987.
  2854. * Richard Hanson, Sandia National Labs.
  2855. * Jeremy Du Croz, NAG Central Office.
  2856. *
  2857. * .. Scalar Arguments ..
  2858. LOGICAL RESET
  2859. * .. Local Scalars ..
  2860. INTEGER I, IC, MI
  2861. * .. Save statement ..
  2862. SAVE I, IC, MI
  2863. * .. Intrinsic Functions ..
  2864. INTRINSIC REAL
  2865. * .. Executable Statements ..
  2866. IF( RESET )THEN
  2867. * Initialize local variables.
  2868. MI = 891
  2869. I = 7
  2870. IC = 0
  2871. RESET = .FALSE.
  2872. END IF
  2873. *
  2874. * The sequence of values of I is bounded between 1 and 999.
  2875. * If initial I = 1,2,3,6,7 or 9, the period will be 50.
  2876. * If initial I = 4 or 8, the period will be 25.
  2877. * If initial I = 5, the period will be 10.
  2878. * IC is used to break up the period by skipping 1 value of I in 6.
  2879. *
  2880. IC = IC + 1
  2881. 10 I = I*MI
  2882. I = I - 1000*( I/1000 )
  2883. IF( IC.GE.5 )THEN
  2884. IC = 0
  2885. GO TO 10
  2886. END IF
  2887. SBEG = REAL( I - 500 )/1001.0
  2888. RETURN
  2889. *
  2890. * End of SBEG.
  2891. *
  2892. END
  2893. REAL FUNCTION SDIFF( X, Y )
  2894. *
  2895. * Auxiliary routine for test program for Level 2 Blas.
  2896. *
  2897. * -- Written on 10-August-1987.
  2898. * Richard Hanson, Sandia National Labs.
  2899. *
  2900. * .. Scalar Arguments ..
  2901. REAL X, Y
  2902. * .. Executable Statements ..
  2903. SDIFF = X - Y
  2904. RETURN
  2905. *
  2906. * End of SDIFF.
  2907. *
  2908. END