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dblat1.f 45 kB

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  1. *> \brief \b DBLAT1
  2. *
  3. * =========== DOCUMENTATION ===========
  4. *
  5. * Online html documentation available at
  6. * http://www.netlib.org/lapack/explore-html/
  7. *
  8. * Definition:
  9. * ===========
  10. *
  11. * PROGRAM DBLAT1
  12. *
  13. *
  14. *> \par Purpose:
  15. * =============
  16. *>
  17. *> \verbatim
  18. *>
  19. *> Test program for the DOUBLE PRECISION Level 1 BLAS.
  20. *>
  21. *> Based upon the original BLAS test routine together with:
  22. *> F06EAF Example Program Text
  23. *> \endverbatim
  24. *
  25. * Authors:
  26. * ========
  27. *
  28. *> \author Univ. of Tennessee
  29. *> \author Univ. of California Berkeley
  30. *> \author Univ. of Colorado Denver
  31. *> \author NAG Ltd.
  32. *
  33. *> \date April 2012
  34. *
  35. *> \ingroup double_blas_testing
  36. *
  37. * =====================================================================
  38. PROGRAM DBLAT1
  39. *
  40. * -- Reference BLAS test routine (version 3.8.0) --
  41. * -- Reference BLAS is a software package provided by Univ. of Tennessee, --
  42. * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  43. * April 2012
  44. *
  45. * =====================================================================
  46. *
  47. * .. Parameters ..
  48. INTEGER NOUT
  49. PARAMETER (NOUT=6)
  50. * .. Scalars in Common ..
  51. INTEGER ICASE, INCX, INCY, N
  52. LOGICAL PASS
  53. * .. Local Scalars ..
  54. DOUBLE PRECISION SFAC
  55. INTEGER IC
  56. * .. External Subroutines ..
  57. EXTERNAL CHECK0, CHECK1, CHECK2, CHECK3, HEADER
  58. * .. Common blocks ..
  59. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  60. * .. Data statements ..
  61. DATA SFAC/9.765625D-4/
  62. * .. Executable Statements ..
  63. WRITE (NOUT,99999)
  64. DO 20 IC = 1, 13
  65. ICASE = IC
  66. CALL HEADER
  67. *
  68. * .. Initialize PASS, INCX, and INCY for a new case. ..
  69. * .. the value 9999 for INCX or INCY will appear in the ..
  70. * .. detailed output, if any, for cases that do not involve ..
  71. * .. these parameters ..
  72. *
  73. PASS = .TRUE.
  74. INCX = 9999
  75. INCY = 9999
  76. IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN
  77. CALL CHECK0(SFAC)
  78. ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR.
  79. + ICASE.EQ.10) THEN
  80. CALL CHECK1(SFAC)
  81. ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR.
  82. + ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN
  83. CALL CHECK2(SFAC)
  84. ELSE IF (ICASE.EQ.4) THEN
  85. CALL CHECK3(SFAC)
  86. END IF
  87. * -- Print
  88. IF (PASS) WRITE (NOUT,99998)
  89. 20 CONTINUE
  90. STOP
  91. *
  92. 99999 FORMAT (' Real BLAS Test Program Results',/1X)
  93. 99998 FORMAT (' ----- PASS -----')
  94. END
  95. SUBROUTINE HEADER
  96. * .. Parameters ..
  97. INTEGER NOUT
  98. PARAMETER (NOUT=6)
  99. * .. Scalars in Common ..
  100. INTEGER ICASE, INCX, INCY, N
  101. LOGICAL PASS
  102. * .. Local Arrays ..
  103. CHARACTER*6 L(13)
  104. * .. Common blocks ..
  105. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  106. * .. Data statements ..
  107. DATA L(1)/' DDOT '/
  108. DATA L(2)/'DAXPY '/
  109. DATA L(3)/'DROTG '/
  110. DATA L(4)/' DROT '/
  111. DATA L(5)/'DCOPY '/
  112. DATA L(6)/'DSWAP '/
  113. DATA L(7)/'DNRM2 '/
  114. DATA L(8)/'DASUM '/
  115. DATA L(9)/'DSCAL '/
  116. DATA L(10)/'IDAMAX'/
  117. DATA L(11)/'DROTMG'/
  118. DATA L(12)/'DROTM '/
  119. DATA L(13)/'DSDOT '/
  120. * .. Executable Statements ..
  121. WRITE (NOUT,99999) ICASE, L(ICASE)
  122. RETURN
  123. *
  124. 99999 FORMAT (/' Test of subprogram number',I3,12X,A6)
  125. END
  126. SUBROUTINE CHECK0(SFAC)
  127. * .. Parameters ..
  128. INTEGER NOUT
  129. PARAMETER (NOUT=6)
  130. * .. Scalar Arguments ..
  131. DOUBLE PRECISION SFAC
  132. * .. Scalars in Common ..
  133. INTEGER ICASE, INCX, INCY, N
  134. LOGICAL PASS
  135. * .. Local Scalars ..
  136. DOUBLE PRECISION SA, SB, SC, SS, D12
  137. INTEGER I, K
  138. * .. Local Arrays ..
  139. DOUBLE PRECISION DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8),
  140. $ DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9)
  141. * .. External Subroutines ..
  142. EXTERNAL DROTG, DROTMG, STEST, STEST1
  143. * .. Common blocks ..
  144. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  145. * .. Data statements ..
  146. DATA DA1/0.3D0, 0.4D0, -0.3D0, -0.4D0, -0.3D0, 0.0D0,
  147. + 0.0D0, 1.0D0/
  148. DATA DB1/0.4D0, 0.3D0, 0.4D0, 0.3D0, -0.4D0, 0.0D0,
  149. + 1.0D0, 0.0D0/
  150. DATA DC1/0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.6D0, 1.0D0,
  151. + 0.0D0, 1.0D0/
  152. DATA DS1/0.8D0, 0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.0D0,
  153. + 1.0D0, 0.0D0/
  154. DATA DATRUE/0.5D0, 0.5D0, 0.5D0, -0.5D0, -0.5D0,
  155. + 0.0D0, 1.0D0, 1.0D0/
  156. DATA DBTRUE/0.0D0, 0.6D0, 0.0D0, -0.6D0, 0.0D0,
  157. + 0.0D0, 1.0D0, 0.0D0/
  158. * INPUT FOR MODIFIED GIVENS
  159. DATA DAB/ .1D0,.3D0,1.2D0,.2D0,
  160. A .7D0, .2D0, .6D0, 4.2D0,
  161. B 0.D0,0.D0,0.D0,0.D0,
  162. C 4.D0, -1.D0, 2.D0, 4.D0,
  163. D 6.D-10, 2.D-2, 1.D5, 10.D0,
  164. E 4.D10, 2.D-2, 1.D-5, 10.D0,
  165. F 2.D-10, 4.D-2, 1.D5, 10.D0,
  166. G 2.D10, 4.D-2, 1.D-5, 10.D0,
  167. H 4.D0, -2.D0, 8.D0, 4.D0 /
  168. * TRUE RESULTS FOR MODIFIED GIVENS
  169. DATA DTRUE/0.D0,0.D0, 1.3D0, .2D0, 0.D0,0.D0,0.D0, .5D0, 0.D0,
  170. A 0.D0,0.D0, 4.5D0, 4.2D0, 1.D0, .5D0, 0.D0,0.D0,0.D0,
  171. B 0.D0,0.D0,0.D0,0.D0, -2.D0, 0.D0,0.D0,0.D0,0.D0,
  172. C 0.D0,0.D0,0.D0, 4.D0, -1.D0, 0.D0,0.D0,0.D0,0.D0,
  173. D 0.D0, 15.D-3, 0.D0, 10.D0, -1.D0, 0.D0, -1.D-4,
  174. E 0.D0, 1.D0,
  175. F 0.D0,0.D0, 6144.D-5, 10.D0, -1.D0, 4096.D0, -1.D6,
  176. G 0.D0, 1.D0,
  177. H 0.D0,0.D0,15.D0,10.D0,-1.D0, 5.D-5, 0.D0,1.D0,0.D0,
  178. I 0.D0,0.D0, 15.D0, 10.D0, -1. D0, 5.D5, -4096.D0,
  179. J 1.D0, 4096.D-6,
  180. K 0.D0,0.D0, 7.D0, 4.D0, 0.D0,0.D0, -.5D0, -.25D0, 0.D0/
  181. * 4096 = 2 ** 12
  182. DATA D12 /4096.D0/
  183. DTRUE(1,1) = 12.D0 / 130.D0
  184. DTRUE(2,1) = 36.D0 / 130.D0
  185. DTRUE(7,1) = -1.D0 / 6.D0
  186. DTRUE(1,2) = 14.D0 / 75.D0
  187. DTRUE(2,2) = 49.D0 / 75.D0
  188. DTRUE(9,2) = 1.D0 / 7.D0
  189. DTRUE(1,5) = 45.D-11 * (D12 * D12)
  190. DTRUE(3,5) = 4.D5 / (3.D0 * D12)
  191. DTRUE(6,5) = 1.D0 / D12
  192. DTRUE(8,5) = 1.D4 / (3.D0 * D12)
  193. DTRUE(1,6) = 4.D10 / (1.5D0 * D12 * D12)
  194. DTRUE(2,6) = 2.D-2 / 1.5D0
  195. DTRUE(8,6) = 5.D-7 * D12
  196. DTRUE(1,7) = 4.D0 / 150.D0
  197. DTRUE(2,7) = (2.D-10 / 1.5D0) * (D12 * D12)
  198. DTRUE(7,7) = -DTRUE(6,5)
  199. DTRUE(9,7) = 1.D4 / D12
  200. DTRUE(1,8) = DTRUE(1,7)
  201. DTRUE(2,8) = 2.D10 / (1.5D0 * D12 * D12)
  202. DTRUE(1,9) = 32.D0 / 7.D0
  203. DTRUE(2,9) = -16.D0 / 7.D0
  204. * .. Executable Statements ..
  205. *
  206. * Compute true values which cannot be prestored
  207. * in decimal notation
  208. *
  209. DBTRUE(1) = 1.0D0/0.6D0
  210. DBTRUE(3) = -1.0D0/0.6D0
  211. DBTRUE(5) = 1.0D0/0.6D0
  212. *
  213. DO 20 K = 1, 8
  214. * .. Set N=K for identification in output if any ..
  215. N = K
  216. IF (ICASE.EQ.3) THEN
  217. * .. DROTG ..
  218. IF (K.GT.8) GO TO 40
  219. SA = DA1(K)
  220. SB = DB1(K)
  221. CALL DROTG(SA,SB,SC,SS)
  222. CALL STEST1(SA,DATRUE(K),DATRUE(K),SFAC)
  223. CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC)
  224. CALL STEST1(SC,DC1(K),DC1(K),SFAC)
  225. CALL STEST1(SS,DS1(K),DS1(K),SFAC)
  226. ELSEIF (ICASE.EQ.11) THEN
  227. * .. DROTMG ..
  228. DO I=1,4
  229. DTEMP(I)= DAB(I,K)
  230. DTEMP(I+4) = 0.0
  231. END DO
  232. DTEMP(9) = 0.0
  233. CALL DROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5))
  234. CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC)
  235. ELSE
  236. WRITE (NOUT,*) ' Shouldn''t be here in CHECK0'
  237. STOP
  238. END IF
  239. 20 CONTINUE
  240. 40 RETURN
  241. END
  242. SUBROUTINE CHECK1(SFAC)
  243. * .. Parameters ..
  244. INTEGER NOUT
  245. PARAMETER (NOUT=6)
  246. * .. Scalar Arguments ..
  247. DOUBLE PRECISION SFAC
  248. * .. Scalars in Common ..
  249. INTEGER ICASE, INCX, INCY, N
  250. LOGICAL PASS
  251. * .. Local Scalars ..
  252. INTEGER I, LEN, NP1
  253. * .. Local Arrays ..
  254. DOUBLE PRECISION DTRUE1(5), DTRUE3(5), DTRUE5(8,5,2), DV(8,5,2),
  255. + SA(10), STEMP(1), STRUE(8), SX(8)
  256. INTEGER ITRUE2(5)
  257. * .. External Functions ..
  258. DOUBLE PRECISION DASUM, DNRM2
  259. INTEGER IDAMAX
  260. EXTERNAL DASUM, DNRM2, IDAMAX
  261. * .. External Subroutines ..
  262. EXTERNAL ITEST1, DSCAL, STEST, STEST1
  263. * .. Intrinsic Functions ..
  264. INTRINSIC MAX
  265. * .. Common blocks ..
  266. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  267. * .. Data statements ..
  268. DATA SA/0.3D0, -1.0D0, 0.0D0, 1.0D0, 0.3D0, 0.3D0,
  269. + 0.3D0, 0.3D0, 0.3D0, 0.3D0/
  270. DATA DV/0.1D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
  271. + 2.0D0, 2.0D0, 0.3D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0,
  272. + 3.0D0, 3.0D0, 3.0D0, 0.3D0, -0.4D0, 4.0D0,
  273. + 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 0.2D0,
  274. + -0.6D0, 0.3D0, 5.0D0, 5.0D0, 5.0D0, 5.0D0,
  275. + 5.0D0, 0.1D0, -0.3D0, 0.5D0, -0.1D0, 6.0D0,
  276. + 6.0D0, 6.0D0, 6.0D0, 0.1D0, 8.0D0, 8.0D0, 8.0D0,
  277. + 8.0D0, 8.0D0, 8.0D0, 8.0D0, 0.3D0, 9.0D0, 9.0D0,
  278. + 9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 0.3D0, 2.0D0,
  279. + -0.4D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
  280. + 0.2D0, 3.0D0, -0.6D0, 5.0D0, 0.3D0, 2.0D0,
  281. + 2.0D0, 2.0D0, 0.1D0, 4.0D0, -0.3D0, 6.0D0,
  282. + -0.5D0, 7.0D0, -0.1D0, 3.0D0/
  283. DATA DTRUE1/0.0D0, 0.3D0, 0.5D0, 0.7D0, 0.6D0/
  284. DATA DTRUE3/0.0D0, 0.3D0, 0.7D0, 1.1D0, 1.0D0/
  285. DATA DTRUE5/0.10D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
  286. + 2.0D0, 2.0D0, 2.0D0, -0.3D0, 3.0D0, 3.0D0,
  287. + 3.0D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0, 0.0D0, 0.0D0,
  288. + 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0,
  289. + 0.20D0, -0.60D0, 0.30D0, 5.0D0, 5.0D0, 5.0D0,
  290. + 5.0D0, 5.0D0, 0.03D0, -0.09D0, 0.15D0, -0.03D0,
  291. + 6.0D0, 6.0D0, 6.0D0, 6.0D0, 0.10D0, 8.0D0,
  292. + 8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0,
  293. + 0.09D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0,
  294. + 9.0D0, 9.0D0, 0.09D0, 2.0D0, -0.12D0, 2.0D0,
  295. + 2.0D0, 2.0D0, 2.0D0, 2.0D0, 0.06D0, 3.0D0,
  296. + -0.18D0, 5.0D0, 0.09D0, 2.0D0, 2.0D0, 2.0D0,
  297. + 0.03D0, 4.0D0, -0.09D0, 6.0D0, -0.15D0, 7.0D0,
  298. + -0.03D0, 3.0D0/
  299. DATA ITRUE2/0, 1, 2, 2, 3/
  300. * .. Executable Statements ..
  301. DO 80 INCX = 1, 2
  302. DO 60 NP1 = 1, 5
  303. N = NP1 - 1
  304. LEN = 2*MAX(N,1)
  305. * .. Set vector arguments ..
  306. DO 20 I = 1, LEN
  307. SX(I) = DV(I,NP1,INCX)
  308. 20 CONTINUE
  309. *
  310. IF (ICASE.EQ.7) THEN
  311. * .. DNRM2 ..
  312. STEMP(1) = DTRUE1(NP1)
  313. CALL STEST1(DNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC)
  314. ELSE IF (ICASE.EQ.8) THEN
  315. * .. DASUM ..
  316. STEMP(1) = DTRUE3(NP1)
  317. CALL STEST1(DASUM(N,SX,INCX),STEMP(1),STEMP,SFAC)
  318. ELSE IF (ICASE.EQ.9) THEN
  319. * .. DSCAL ..
  320. CALL DSCAL(N,SA((INCX-1)*5+NP1),SX,INCX)
  321. DO 40 I = 1, LEN
  322. STRUE(I) = DTRUE5(I,NP1,INCX)
  323. 40 CONTINUE
  324. CALL STEST(LEN,SX,STRUE,STRUE,SFAC)
  325. ELSE IF (ICASE.EQ.10) THEN
  326. * .. IDAMAX ..
  327. CALL ITEST1(IDAMAX(N,SX,INCX),ITRUE2(NP1))
  328. ELSE
  329. WRITE (NOUT,*) ' Shouldn''t be here in CHECK1'
  330. STOP
  331. END IF
  332. 60 CONTINUE
  333. 80 CONTINUE
  334. RETURN
  335. END
  336. SUBROUTINE CHECK2(SFAC)
  337. * .. Parameters ..
  338. INTEGER NOUT
  339. PARAMETER (NOUT=6)
  340. * .. Scalar Arguments ..
  341. DOUBLE PRECISION SFAC
  342. * .. Scalars in Common ..
  343. INTEGER ICASE, INCX, INCY, N
  344. LOGICAL PASS
  345. * .. Local Scalars ..
  346. DOUBLE PRECISION SA
  347. INTEGER I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY,
  348. $ MX, MY
  349. * .. Local Arrays ..
  350. DOUBLE PRECISION DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4),
  351. $ DT8(7,4,4), DX1(7),
  352. $ DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE(7),
  353. $ STX(7), STY(7), SX(7), SY(7),
  354. $ DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4),
  355. $ DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4),
  356. $ DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4),
  357. $ DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5)
  358. INTEGER INCXS(4), INCYS(4), LENS(4,2), NS(4)
  359. * .. External Functions ..
  360. DOUBLE PRECISION DDOT, DSDOT
  361. EXTERNAL DDOT, DSDOT
  362. * .. External Subroutines ..
  363. EXTERNAL DAXPY, DCOPY, DROTM, DSWAP, STEST, STEST1,
  364. $ TESTDSDOT
  365. * .. Intrinsic Functions ..
  366. INTRINSIC ABS, MIN
  367. * .. Common blocks ..
  368. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  369. * .. Data statements ..
  370. EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5),
  371. A DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)),
  372. B (DT19X(1,1,13),DT19XD(1,1,1))
  373. EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5),
  374. A DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)),
  375. B (DT19Y(1,1,13),DT19YD(1,1,1))
  376. DATA SA/0.3D0/
  377. DATA INCXS/1, 2, -2, -1/
  378. DATA INCYS/1, -2, 1, -2/
  379. DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/
  380. DATA NS/0, 1, 2, 4/
  381. DATA DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0,
  382. + -0.4D0/
  383. DATA DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
  384. + 0.8D0/
  385. DATA DT7/0.0D0, 0.30D0, 0.21D0, 0.62D0, 0.0D0,
  386. + 0.30D0, -0.07D0, 0.85D0, 0.0D0, 0.30D0, -0.79D0,
  387. + -0.74D0, 0.0D0, 0.30D0, 0.33D0, 1.27D0/
  388. DATA DT8/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  389. + 0.0D0, 0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  390. + 0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.0D0, 0.0D0,
  391. + 0.0D0, 0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.15D0,
  392. + 0.94D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
  393. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.68D0,
  394. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  395. + 0.35D0, -0.9D0, 0.48D0, 0.0D0, 0.0D0, 0.0D0,
  396. + 0.0D0, 0.38D0, -0.9D0, 0.57D0, 0.7D0, -0.75D0,
  397. + 0.2D0, 0.98D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0,
  398. + 0.0D0, 0.0D0, 0.0D0, 0.68D0, 0.0D0, 0.0D0,
  399. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.35D0, -0.72D0,
  400. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.38D0,
  401. + -0.63D0, 0.15D0, 0.88D0, 0.0D0, 0.0D0, 0.0D0,
  402. + 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  403. + 0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  404. + 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.0D0, 0.0D0,
  405. + 0.0D0, 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.7D0,
  406. + -0.75D0, 0.2D0, 1.04D0/
  407. DATA DT10X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  408. + 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  409. + 0.0D0, 0.5D0, -0.9D0, 0.0D0, 0.0D0, 0.0D0,
  410. + 0.0D0, 0.0D0, 0.5D0, -0.9D0, 0.3D0, 0.7D0,
  411. + 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
  412. + 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0,
  413. + 0.0D0, 0.0D0, 0.0D0, 0.3D0, 0.1D0, 0.5D0, 0.0D0,
  414. + 0.0D0, 0.0D0, 0.0D0, 0.8D0, 0.1D0, -0.6D0,
  415. + 0.8D0, 0.3D0, -0.3D0, 0.5D0, 0.6D0, 0.0D0,
  416. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
  417. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.9D0,
  418. + 0.1D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
  419. + 0.1D0, 0.3D0, 0.8D0, -0.9D0, -0.3D0, 0.5D0,
  420. + 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  421. + 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  422. + 0.5D0, 0.3D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  423. + 0.5D0, 0.3D0, -0.6D0, 0.8D0, 0.0D0, 0.0D0,
  424. + 0.0D0/
  425. DATA DT10Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  426. + 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  427. + 0.0D0, 0.6D0, 0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  428. + 0.0D0, 0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.0D0,
  429. + 0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  430. + 0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  431. + 0.0D0, 0.0D0, -0.5D0, -0.9D0, 0.6D0, 0.0D0,
  432. + 0.0D0, 0.0D0, 0.0D0, -0.4D0, -0.9D0, 0.9D0,
  433. + 0.7D0, -0.5D0, 0.2D0, 0.6D0, 0.5D0, 0.0D0,
  434. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
  435. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.5D0,
  436. + 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  437. + -0.4D0, 0.9D0, -0.5D0, 0.6D0, 0.0D0, 0.0D0,
  438. + 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  439. + 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  440. + 0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.0D0, 0.0D0,
  441. + 0.0D0, 0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.7D0,
  442. + -0.5D0, 0.2D0, 0.8D0/
  443. DATA SSIZE1/0.0D0, 0.3D0, 1.6D0, 3.2D0/
  444. DATA SSIZE2/0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  445. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  446. + 0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
  447. + 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
  448. + 1.17D0, 1.17D0, 1.17D0/
  449. *
  450. * FOR DROTM
  451. *
  452. DATA DPAR/-2.D0, 0.D0,0.D0,0.D0,0.D0,
  453. A -1.D0, 2.D0, -3.D0, -4.D0, 5.D0,
  454. B 0.D0, 0.D0, 2.D0, -3.D0, 0.D0,
  455. C 1.D0, 5.D0, 2.D0, 0.D0, -4.D0/
  456. * TRUE X RESULTS F0R ROTATIONS DROTM
  457. DATA DT19XA/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  458. A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  459. B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  460. C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  461. D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  462. E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  463. F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  464. G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  465. H .6D0, .1D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  466. I -.8D0, 3.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  467. J -.9D0, 2.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  468. K 3.5D0, -.4D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  469. L .6D0, .1D0, -.5D0, .8D0, 0.D0,0.D0,0.D0,
  470. M -.8D0, 3.8D0, -2.2D0, -1.2D0, 0.D0,0.D0,0.D0,
  471. N -.9D0, 2.8D0, -1.4D0, -1.3D0, 0.D0,0.D0,0.D0,
  472. O 3.5D0, -.4D0, -2.2D0, 4.7D0, 0.D0,0.D0,0.D0/
  473. *
  474. DATA DT19XB/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  475. A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  476. B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  477. C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  478. D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  479. E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  480. F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  481. G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  482. H .6D0, .1D0, -.5D0, 0.D0,0.D0,0.D0,0.D0,
  483. I 0.D0, .1D0, -3.0D0, 0.D0,0.D0,0.D0,0.D0,
  484. J -.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0,
  485. K 3.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0,
  486. L .6D0, .1D0, -.5D0, .8D0, .9D0, -.3D0, -.4D0,
  487. M -2.0D0, .1D0, 1.4D0, .8D0, .6D0, -.3D0, -2.8D0,
  488. N -1.8D0, .1D0, 1.3D0, .8D0, 0.D0, -.3D0, -1.9D0,
  489. O 3.8D0, .1D0, -3.1D0, .8D0, 4.8D0, -.3D0, -1.5D0 /
  490. *
  491. DATA DT19XC/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  492. A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  493. B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  494. C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  495. D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  496. E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  497. F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  498. G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  499. H .6D0, .1D0, -.5D0, 0.D0,0.D0,0.D0,0.D0,
  500. I 4.8D0, .1D0, -3.0D0, 0.D0,0.D0,0.D0,0.D0,
  501. J 3.3D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0,
  502. K 2.1D0, .1D0, -2.0D0, 0.D0,0.D0,0.D0,0.D0,
  503. L .6D0, .1D0, -.5D0, .8D0, .9D0, -.3D0, -.4D0,
  504. M -1.6D0, .1D0, -2.2D0, .8D0, 5.4D0, -.3D0, -2.8D0,
  505. N -1.5D0, .1D0, -1.4D0, .8D0, 3.6D0, -.3D0, -1.9D0,
  506. O 3.7D0, .1D0, -2.2D0, .8D0, 3.6D0, -.3D0, -1.5D0 /
  507. *
  508. DATA DT19XD/.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  509. A .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  510. B .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  511. C .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  512. D .6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  513. E -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  514. F -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  515. G 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  516. H .6D0, .1D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  517. I -.8D0, -1.0D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  518. J -.9D0, -.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  519. K 3.5D0, .8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  520. L .6D0, .1D0, -.5D0, .8D0, 0.D0,0.D0,0.D0,
  521. M -.8D0, -1.0D0, 1.4D0, -1.6D0, 0.D0,0.D0,0.D0,
  522. N -.9D0, -.8D0, 1.3D0, -1.6D0, 0.D0,0.D0,0.D0,
  523. O 3.5D0, .8D0, -3.1D0, 4.8D0, 0.D0,0.D0,0.D0/
  524. * TRUE Y RESULTS FOR ROTATIONS DROTM
  525. DATA DT19YA/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  526. A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  527. B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  528. C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  529. D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  530. E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  531. F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  532. G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  533. H .5D0, -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  534. I .7D0, -4.8D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  535. J 1.7D0, -.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  536. K -2.6D0, 3.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  537. L .5D0, -.9D0, .3D0, .7D0, 0.D0,0.D0,0.D0,
  538. M .7D0, -4.8D0, 3.0D0, 1.1D0, 0.D0,0.D0,0.D0,
  539. N 1.7D0, -.7D0, -.7D0, 2.3D0, 0.D0,0.D0,0.D0,
  540. O -2.6D0, 3.5D0, -.7D0, -3.6D0, 0.D0,0.D0,0.D0/
  541. *
  542. DATA DT19YB/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  543. A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  544. B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  545. C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  546. D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  547. E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  548. F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  549. G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  550. H .5D0, -.9D0, .3D0, 0.D0,0.D0,0.D0,0.D0,
  551. I 4.0D0, -.9D0, -.3D0, 0.D0,0.D0,0.D0,0.D0,
  552. J -.5D0, -.9D0, 1.5D0, 0.D0,0.D0,0.D0,0.D0,
  553. K -1.5D0, -.9D0, -1.8D0, 0.D0,0.D0,0.D0,0.D0,
  554. L .5D0, -.9D0, .3D0, .7D0, -.6D0, .2D0, .8D0,
  555. M 3.7D0, -.9D0, -1.2D0, .7D0, -1.5D0, .2D0, 2.2D0,
  556. N -.3D0, -.9D0, 2.1D0, .7D0, -1.6D0, .2D0, 2.0D0,
  557. O -1.6D0, -.9D0, -2.1D0, .7D0, 2.9D0, .2D0, -3.8D0 /
  558. *
  559. DATA DT19YC/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  560. A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  561. B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  562. C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  563. D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  564. E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  565. F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  566. G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  567. H .5D0, -.9D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  568. I 4.0D0, -6.3D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  569. J -.5D0, .3D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  570. K -1.5D0, 3.0D0, 0.D0,0.D0,0.D0,0.D0,0.D0,
  571. L .5D0, -.9D0, .3D0, .7D0, 0.D0,0.D0,0.D0,
  572. M 3.7D0, -7.2D0, 3.0D0, 1.7D0, 0.D0,0.D0,0.D0,
  573. N -.3D0, .9D0, -.7D0, 1.9D0, 0.D0,0.D0,0.D0,
  574. O -1.6D0, 2.7D0, -.7D0, -3.4D0, 0.D0,0.D0,0.D0/
  575. *
  576. DATA DT19YD/.5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  577. A .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  578. B .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  579. C .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  580. D .5D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  581. E .7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  582. F 1.7D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  583. G -2.6D0, 0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
  584. H .5D0, -.9D0, .3D0, 0.D0,0.D0,0.D0,0.D0,
  585. I .7D0, -.9D0, 1.2D0, 0.D0,0.D0,0.D0,0.D0,
  586. J 1.7D0, -.9D0, .5D0, 0.D0,0.D0,0.D0,0.D0,
  587. K -2.6D0, -.9D0, -1.3D0, 0.D0,0.D0,0.D0,0.D0,
  588. L .5D0, -.9D0, .3D0, .7D0, -.6D0, .2D0, .8D0,
  589. M .7D0, -.9D0, 1.2D0, .7D0, -1.5D0, .2D0, 1.6D0,
  590. N 1.7D0, -.9D0, .5D0, .7D0, -1.6D0, .2D0, 2.4D0,
  591. O -2.6D0, -.9D0, -1.3D0, .7D0, 2.9D0, .2D0, -4.0D0 /
  592. *
  593. * .. Executable Statements ..
  594. *
  595. DO 120 KI = 1, 4
  596. INCX = INCXS(KI)
  597. INCY = INCYS(KI)
  598. MX = ABS(INCX)
  599. MY = ABS(INCY)
  600. *
  601. DO 100 KN = 1, 4
  602. N = NS(KN)
  603. KSIZE = MIN(2,KN)
  604. LENX = LENS(KN,MX)
  605. LENY = LENS(KN,MY)
  606. * .. Initialize all argument arrays ..
  607. DO 20 I = 1, 7
  608. SX(I) = DX1(I)
  609. SY(I) = DY1(I)
  610. 20 CONTINUE
  611. *
  612. IF (ICASE.EQ.1) THEN
  613. * .. DDOT ..
  614. CALL STEST1(DDOT(N,SX,INCX,SY,INCY),DT7(KN,KI),SSIZE1(KN)
  615. + ,SFAC)
  616. ELSE IF (ICASE.EQ.2) THEN
  617. * .. DAXPY ..
  618. CALL DAXPY(N,SA,SX,INCX,SY,INCY)
  619. DO 40 J = 1, LENY
  620. STY(J) = DT8(J,KN,KI)
  621. 40 CONTINUE
  622. CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
  623. ELSE IF (ICASE.EQ.5) THEN
  624. * .. DCOPY ..
  625. DO 60 I = 1, 7
  626. STY(I) = DT10Y(I,KN,KI)
  627. 60 CONTINUE
  628. CALL DCOPY(N,SX,INCX,SY,INCY)
  629. CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
  630. ELSE IF (ICASE.EQ.6) THEN
  631. * .. DSWAP ..
  632. CALL DSWAP(N,SX,INCX,SY,INCY)
  633. DO 80 I = 1, 7
  634. STX(I) = DT10X(I,KN,KI)
  635. STY(I) = DT10Y(I,KN,KI)
  636. 80 CONTINUE
  637. CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0D0)
  638. CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
  639. ELSE IF (ICASE.EQ.12) THEN
  640. * .. DROTM ..
  641. KNI=KN+4*(KI-1)
  642. DO KPAR=1,4
  643. DO I=1,7
  644. SX(I) = DX1(I)
  645. SY(I) = DY1(I)
  646. STX(I)= DT19X(I,KPAR,KNI)
  647. STY(I)= DT19Y(I,KPAR,KNI)
  648. END DO
  649. *
  650. DO I=1,5
  651. DTEMP(I) = DPAR(I,KPAR)
  652. END DO
  653. *
  654. DO I=1,LENX
  655. SSIZE(I)=STX(I)
  656. END DO
  657. * SEE REMARK ABOVE ABOUT DT11X(1,2,7)
  658. * AND DT11X(5,3,8).
  659. IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7))
  660. $ SSIZE(1) = 2.4D0
  661. IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8))
  662. $ SSIZE(5) = 1.8D0
  663. *
  664. CALL DROTM(N,SX,INCX,SY,INCY,DTEMP)
  665. CALL STEST(LENX,SX,STX,SSIZE,SFAC)
  666. CALL STEST(LENY,SY,STY,STY,SFAC)
  667. END DO
  668. ELSE IF (ICASE.EQ.13) THEN
  669. * .. DSDOT ..
  670. CALL TESTDSDOT(REAL(DSDOT(N,REAL(SX),INCX,REAL(SY),INCY)),
  671. $ REAL(DT7(KN,KI)),REAL(SSIZE1(KN)), .3125E-1)
  672. ELSE
  673. WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
  674. STOP
  675. END IF
  676. 100 CONTINUE
  677. 120 CONTINUE
  678. RETURN
  679. END
  680. SUBROUTINE CHECK3(SFAC)
  681. * .. Parameters ..
  682. INTEGER NOUT
  683. PARAMETER (NOUT=6)
  684. * .. Scalar Arguments ..
  685. DOUBLE PRECISION SFAC
  686. * .. Scalars in Common ..
  687. INTEGER ICASE, INCX, INCY, N
  688. LOGICAL PASS
  689. * .. Local Scalars ..
  690. DOUBLE PRECISION SC, SS
  691. INTEGER I, K, KI, KN, KSIZE, LENX, LENY, MX, MY
  692. * .. Local Arrays ..
  693. DOUBLE PRECISION COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4),
  694. + DX1(7), DY1(7), MWPC(11), MWPS(11), MWPSTX(5),
  695. + MWPSTY(5), MWPTX(11,5), MWPTY(11,5), MWPX(5),
  696. + MWPY(5), SSIZE2(14,2), STX(7), STY(7), SX(7),
  697. + SY(7)
  698. INTEGER INCXS(4), INCYS(4), LENS(4,2), MWPINX(11),
  699. + MWPINY(11), MWPN(11), NS(4)
  700. * .. External Subroutines ..
  701. EXTERNAL DROT, STEST
  702. * .. Intrinsic Functions ..
  703. INTRINSIC ABS, MIN
  704. * .. Common blocks ..
  705. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  706. * .. Data statements ..
  707. DATA INCXS/1, 2, -2, -1/
  708. DATA INCYS/1, -2, 1, -2/
  709. DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/
  710. DATA NS/0, 1, 2, 4/
  711. DATA DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0,
  712. + -0.4D0/
  713. DATA DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
  714. + 0.8D0/
  715. DATA SC, SS/0.8D0, 0.6D0/
  716. DATA DT9X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  717. + 0.0D0, 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  718. + 0.0D0, 0.0D0, 0.78D0, -0.46D0, 0.0D0, 0.0D0,
  719. + 0.0D0, 0.0D0, 0.0D0, 0.78D0, -0.46D0, -0.22D0,
  720. + 1.06D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
  721. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.78D0,
  722. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  723. + 0.66D0, 0.1D0, -0.1D0, 0.0D0, 0.0D0, 0.0D0,
  724. + 0.0D0, 0.96D0, 0.1D0, -0.76D0, 0.8D0, 0.90D0,
  725. + -0.3D0, -0.02D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
  726. + 0.0D0, 0.0D0, 0.0D0, 0.78D0, 0.0D0, 0.0D0,
  727. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.06D0, 0.1D0,
  728. + -0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.90D0,
  729. + 0.1D0, -0.22D0, 0.8D0, 0.18D0, -0.3D0, -0.02D0,
  730. + 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  731. + 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  732. + 0.0D0, 0.78D0, 0.26D0, 0.0D0, 0.0D0, 0.0D0,
  733. + 0.0D0, 0.0D0, 0.78D0, 0.26D0, -0.76D0, 1.12D0,
  734. + 0.0D0, 0.0D0, 0.0D0/
  735. DATA DT9Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  736. + 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  737. + 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.0D0, 0.0D0,
  738. + 0.0D0, 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.54D0,
  739. + 0.08D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
  740. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.04D0,
  741. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
  742. + -0.9D0, -0.12D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  743. + 0.64D0, -0.9D0, -0.30D0, 0.7D0, -0.18D0, 0.2D0,
  744. + 0.28D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  745. + 0.0D0, 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0,
  746. + 0.0D0, 0.0D0, 0.0D0, 0.7D0, -1.08D0, 0.0D0,
  747. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.64D0, -1.26D0,
  748. + 0.54D0, 0.20D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0,
  749. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  750. + 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  751. + 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.0D0, 0.0D0,
  752. + 0.0D0, 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.7D0,
  753. + -0.18D0, 0.2D0, 0.16D0/
  754. DATA SSIZE2/0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  755. + 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
  756. + 0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
  757. + 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
  758. + 1.17D0, 1.17D0, 1.17D0/
  759. * .. Executable Statements ..
  760. *
  761. DO 60 KI = 1, 4
  762. INCX = INCXS(KI)
  763. INCY = INCYS(KI)
  764. MX = ABS(INCX)
  765. MY = ABS(INCY)
  766. *
  767. DO 40 KN = 1, 4
  768. N = NS(KN)
  769. KSIZE = MIN(2,KN)
  770. LENX = LENS(KN,MX)
  771. LENY = LENS(KN,MY)
  772. *
  773. IF (ICASE.EQ.4) THEN
  774. * .. DROT ..
  775. DO 20 I = 1, 7
  776. SX(I) = DX1(I)
  777. SY(I) = DY1(I)
  778. STX(I) = DT9X(I,KN,KI)
  779. STY(I) = DT9Y(I,KN,KI)
  780. 20 CONTINUE
  781. CALL DROT(N,SX,INCX,SY,INCY,SC,SS)
  782. CALL STEST(LENX,SX,STX,SSIZE2(1,KSIZE),SFAC)
  783. CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
  784. ELSE
  785. WRITE (NOUT,*) ' Shouldn''t be here in CHECK3'
  786. STOP
  787. END IF
  788. 40 CONTINUE
  789. 60 CONTINUE
  790. *
  791. MWPC(1) = 1
  792. DO 80 I = 2, 11
  793. MWPC(I) = 0
  794. 80 CONTINUE
  795. MWPS(1) = 0
  796. DO 100 I = 2, 6
  797. MWPS(I) = 1
  798. 100 CONTINUE
  799. DO 120 I = 7, 11
  800. MWPS(I) = -1
  801. 120 CONTINUE
  802. MWPINX(1) = 1
  803. MWPINX(2) = 1
  804. MWPINX(3) = 1
  805. MWPINX(4) = -1
  806. MWPINX(5) = 1
  807. MWPINX(6) = -1
  808. MWPINX(7) = 1
  809. MWPINX(8) = 1
  810. MWPINX(9) = -1
  811. MWPINX(10) = 1
  812. MWPINX(11) = -1
  813. MWPINY(1) = 1
  814. MWPINY(2) = 1
  815. MWPINY(3) = -1
  816. MWPINY(4) = -1
  817. MWPINY(5) = 2
  818. MWPINY(6) = 1
  819. MWPINY(7) = 1
  820. MWPINY(8) = -1
  821. MWPINY(9) = -1
  822. MWPINY(10) = 2
  823. MWPINY(11) = 1
  824. DO 140 I = 1, 11
  825. MWPN(I) = 5
  826. 140 CONTINUE
  827. MWPN(5) = 3
  828. MWPN(10) = 3
  829. DO 160 I = 1, 5
  830. MWPX(I) = I
  831. MWPY(I) = I
  832. MWPTX(1,I) = I
  833. MWPTY(1,I) = I
  834. MWPTX(2,I) = I
  835. MWPTY(2,I) = -I
  836. MWPTX(3,I) = 6 - I
  837. MWPTY(3,I) = I - 6
  838. MWPTX(4,I) = I
  839. MWPTY(4,I) = -I
  840. MWPTX(6,I) = 6 - I
  841. MWPTY(6,I) = I - 6
  842. MWPTX(7,I) = -I
  843. MWPTY(7,I) = I
  844. MWPTX(8,I) = I - 6
  845. MWPTY(8,I) = 6 - I
  846. MWPTX(9,I) = -I
  847. MWPTY(9,I) = I
  848. MWPTX(11,I) = I - 6
  849. MWPTY(11,I) = 6 - I
  850. 160 CONTINUE
  851. MWPTX(5,1) = 1
  852. MWPTX(5,2) = 3
  853. MWPTX(5,3) = 5
  854. MWPTX(5,4) = 4
  855. MWPTX(5,5) = 5
  856. MWPTY(5,1) = -1
  857. MWPTY(5,2) = 2
  858. MWPTY(5,3) = -2
  859. MWPTY(5,4) = 4
  860. MWPTY(5,5) = -3
  861. MWPTX(10,1) = -1
  862. MWPTX(10,2) = -3
  863. MWPTX(10,3) = -5
  864. MWPTX(10,4) = 4
  865. MWPTX(10,5) = 5
  866. MWPTY(10,1) = 1
  867. MWPTY(10,2) = 2
  868. MWPTY(10,3) = 2
  869. MWPTY(10,4) = 4
  870. MWPTY(10,5) = 3
  871. DO 200 I = 1, 11
  872. INCX = MWPINX(I)
  873. INCY = MWPINY(I)
  874. DO 180 K = 1, 5
  875. COPYX(K) = MWPX(K)
  876. COPYY(K) = MWPY(K)
  877. MWPSTX(K) = MWPTX(I,K)
  878. MWPSTY(K) = MWPTY(I,K)
  879. 180 CONTINUE
  880. CALL DROT(MWPN(I),COPYX,INCX,COPYY,INCY,MWPC(I),MWPS(I))
  881. CALL STEST(5,COPYX,MWPSTX,MWPSTX,SFAC)
  882. CALL STEST(5,COPYY,MWPSTY,MWPSTY,SFAC)
  883. 200 CONTINUE
  884. RETURN
  885. END
  886. SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC)
  887. * ********************************* STEST **************************
  888. *
  889. * THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO
  890. * SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
  891. * NEGLIGIBLE.
  892. *
  893. * C. L. LAWSON, JPL, 1974 DEC 10
  894. *
  895. * .. Parameters ..
  896. INTEGER NOUT
  897. DOUBLE PRECISION ZERO
  898. PARAMETER (NOUT=6, ZERO=0.0D0)
  899. * .. Scalar Arguments ..
  900. DOUBLE PRECISION SFAC
  901. INTEGER LEN
  902. * .. Array Arguments ..
  903. DOUBLE PRECISION SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
  904. * .. Scalars in Common ..
  905. INTEGER ICASE, INCX, INCY, N
  906. LOGICAL PASS
  907. * .. Local Scalars ..
  908. DOUBLE PRECISION SD
  909. INTEGER I
  910. * .. External Functions ..
  911. DOUBLE PRECISION SDIFF
  912. EXTERNAL SDIFF
  913. * .. Intrinsic Functions ..
  914. INTRINSIC ABS
  915. * .. Common blocks ..
  916. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  917. * .. Executable Statements ..
  918. *
  919. DO 40 I = 1, LEN
  920. SD = SCOMP(I) - STRUE(I)
  921. IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO))
  922. + GO TO 40
  923. *
  924. * HERE SCOMP(I) IS NOT CLOSE TO STRUE(I).
  925. *
  926. IF ( .NOT. PASS) GO TO 20
  927. * PRINT FAIL MESSAGE AND HEADER.
  928. PASS = .FALSE.
  929. WRITE (NOUT,99999)
  930. WRITE (NOUT,99998)
  931. 20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I),
  932. + STRUE(I), SD, SSIZE(I)
  933. 40 CONTINUE
  934. RETURN
  935. *
  936. 99999 FORMAT (' FAIL')
  937. 99998 FORMAT (/' CASE N INCX INCY I ',
  938. + ' COMP(I) TRUE(I) DIFFERENCE',
  939. + ' SIZE(I)',/1X)
  940. 99997 FORMAT (1X,I4,I3,2I5,I3,2D36.8,2D12.4)
  941. END
  942. SUBROUTINE TESTDSDOT(SCOMP,STRUE,SSIZE,SFAC)
  943. * ********************************* STEST **************************
  944. *
  945. * THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO
  946. * SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
  947. * NEGLIGIBLE.
  948. *
  949. * C. L. LAWSON, JPL, 1974 DEC 10
  950. *
  951. * .. Parameters ..
  952. INTEGER NOUT
  953. REAL ZERO
  954. PARAMETER (NOUT=6, ZERO=0.0E0)
  955. * .. Scalar Arguments ..
  956. REAL SFAC, SCOMP, SSIZE, STRUE
  957. * .. Scalars in Common ..
  958. INTEGER ICASE, INCX, INCY, N
  959. LOGICAL PASS
  960. * .. Local Scalars ..
  961. REAL SD
  962. * .. Intrinsic Functions ..
  963. INTRINSIC ABS
  964. * .. Common blocks ..
  965. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  966. * .. Executable Statements ..
  967. *
  968. SD = SCOMP - STRUE
  969. IF (ABS(SFAC*SD) .LE. ABS(SSIZE) * EPSILON(ZERO))
  970. + GO TO 40
  971. *
  972. * HERE SCOMP(I) IS NOT CLOSE TO STRUE(I).
  973. *
  974. IF ( .NOT. PASS) GO TO 20
  975. * PRINT FAIL MESSAGE AND HEADER.
  976. PASS = .FALSE.
  977. WRITE (NOUT,99999)
  978. WRITE (NOUT,99998)
  979. 20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, SCOMP,
  980. + STRUE, SD, SSIZE
  981. 40 CONTINUE
  982. RETURN
  983. *
  984. 99999 FORMAT (' FAIL')
  985. 99998 FORMAT (/' CASE N INCX INCY ',
  986. + ' COMP(I) TRUE(I) DIFFERENCE',
  987. + ' SIZE(I)',/1X)
  988. 99997 FORMAT (1X,I4,I3,1I5,I3,2E36.8,2E12.4)
  989. END
  990. SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC)
  991. * ************************* STEST1 *****************************
  992. *
  993. * THIS IS AN INTERFACE SUBROUTINE TO ACCOMMODATE THE FORTRAN
  994. * REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE
  995. * ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT.
  996. *
  997. * C.L. LAWSON, JPL, 1978 DEC 6
  998. *
  999. * .. Scalar Arguments ..
  1000. DOUBLE PRECISION SCOMP1, SFAC, STRUE1
  1001. * .. Array Arguments ..
  1002. DOUBLE PRECISION SSIZE(*)
  1003. * .. Local Arrays ..
  1004. DOUBLE PRECISION SCOMP(1), STRUE(1)
  1005. * .. External Subroutines ..
  1006. EXTERNAL STEST
  1007. * .. Executable Statements ..
  1008. *
  1009. SCOMP(1) = SCOMP1
  1010. STRUE(1) = STRUE1
  1011. CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC)
  1012. *
  1013. RETURN
  1014. END
  1015. DOUBLE PRECISION FUNCTION SDIFF(SA,SB)
  1016. * ********************************* SDIFF **************************
  1017. * COMPUTES DIFFERENCE OF TWO NUMBERS. C. L. LAWSON, JPL 1974 FEB 15
  1018. *
  1019. * .. Scalar Arguments ..
  1020. DOUBLE PRECISION SA, SB
  1021. * .. Executable Statements ..
  1022. SDIFF = SA - SB
  1023. RETURN
  1024. END
  1025. SUBROUTINE ITEST1(ICOMP,ITRUE)
  1026. * ********************************* ITEST1 *************************
  1027. *
  1028. * THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR
  1029. * EQUALITY.
  1030. * C. L. LAWSON, JPL, 1974 DEC 10
  1031. *
  1032. * .. Parameters ..
  1033. INTEGER NOUT
  1034. PARAMETER (NOUT=6)
  1035. * .. Scalar Arguments ..
  1036. INTEGER ICOMP, ITRUE
  1037. * .. Scalars in Common ..
  1038. INTEGER ICASE, INCX, INCY, N
  1039. LOGICAL PASS
  1040. * .. Local Scalars ..
  1041. INTEGER ID
  1042. * .. Common blocks ..
  1043. COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
  1044. * .. Executable Statements ..
  1045. *
  1046. IF (ICOMP.EQ.ITRUE) GO TO 40
  1047. *
  1048. * HERE ICOMP IS NOT EQUAL TO ITRUE.
  1049. *
  1050. IF ( .NOT. PASS) GO TO 20
  1051. * PRINT FAIL MESSAGE AND HEADER.
  1052. PASS = .FALSE.
  1053. WRITE (NOUT,99999)
  1054. WRITE (NOUT,99998)
  1055. 20 ID = ICOMP - ITRUE
  1056. WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID
  1057. 40 CONTINUE
  1058. RETURN
  1059. *
  1060. 99999 FORMAT (' FAIL')
  1061. 99998 FORMAT (/' CASE N INCX INCY ',
  1062. + ' COMP TRUE DIFFERENCE',
  1063. + /1X)
  1064. 99997 FORMAT (1X,I4,I3,2I5,2I36,I12)
  1065. END