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/DOC/Derek Nielson Thesis/Research Documents/UAFWLIS-V1_01_FiniteSizeGround/OMEGA_complexZ/Che0.f

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FORTRAN Legacy | 317 lines | 153 code | 31 blank | 133 comment | 0 complexity | 6fa1dcb9abd3db95817bb83142b20b6e MD5 | raw file
Possible License(s): GPL-3.0 
    

  1.       SUBROUTINE CHE0(A,Z,NUMA,MNUMA,PCKEXP1,PCKEXP2,SQASP11,SQASP12,
    2. 

  2.      &                EXPAZ,H01,H02,H11,H12,HE01CX,HE02CX,HE01EX,
    3. 

  3.      &                HE02EX,HE01SX,HE02SX,HE01D0,HE02D0,FLAG,RELERR)
    4. 

  4. 

    5. 

  5. *                                                                             *
    6. 

  6. *******************************************************************************
    7. 

  7. *     REFERENCES:                                                             *
    8. 

  8. *                                                                             *
    9. 

  9. *     [2]  S. L. Dvorak and E. F. Kuester, ``Numerical Computation of the     *
    10. 

  10. *          Incomplete Lipschitz-Hankel Integral Je0(a,z),'' J. Comput. Phys., *
    11. 

  11. *          Vol. 87, No. 2, pp. 301--327, April 1990.                          *
    12. 

  12. *     [3]  M. Abramowitz and I. E. Stegun, Handbook of Mathematical           *
    13. 

  13. *          Functions with Formulas, Graphs, and Mathematical Tables,          *
    14. 

  14. *          Washington, D. C.: U.S. Government Printing Office, 1972.          *

    15. 

  15. *	[4]  David L. Heckmann and S.L. Dvorak,"Numerical Computation of Hankel	*

    16. 

  16. *		 Functions of Integral Order for Complex-valued Arguments			*
    17. 

  17. *     [6]  S. L. Dvorak, ``Numerical Computation of the Incomplete            *
    18. 

  18. *          Lipschitz-Hankel Integral Ye0(a,z),'' submitted to the SIAM        *
    19. 

  19. *          Journal on Mathematical Analysis.                                  *

    20. 

  20. *	[7]  Z.ZHU, S.L.DVORAK AND DAVID HECKMAN,"Numerical Computation of		*

    21. 

  21. *		 Incomplete Lipschitz-Hankel Integrals of the Hankel Type for		*

    22. 

  22. *		 Complex-Valued Arguments											*
    23. 

  23. *																			*
    24. 

  24. *******************************************************************************
    25. 

  25. *     PURPOSE:                                                                *
    26. 

  26. *                                                                             *
    27. 

  27. *     This subroutine determines which expansion will provide the most        *
    28. 

  28. *     efficient computation of the incomplete Lipschitz-Hankel integrals      *

    29. 

  29. *	AND OUTPUT THE NUMERICAL VALUE FOR:										*

    30. 

  30. *	HE0*exp(az), CHEO*exp(az) and SCHE0*exp(az)								*

    31. 

  31. *	HE0 means standard ILHI of Hankel type.									*

    32. 

  32. *	CHE0 means complimentary ILHI of Hankel type							*

    33. 

  33. *	SCHE0 means CHEO(a,*,z)													*
    34. 

  34. *																			*

    35. 

  35. *     where A and Z are complex numbers. and Real(Z)>=0

    36. 

  36. *     The integrals are evaluated to SD significant digits in most cases.     *
    37. 

  37. *     The relative error is given by RELERR = .5*10.**(-SD).                  *
    38. 

  38. *******************************************************************************
    39. 

  39. *     INPUTS:                                                                 *
    40. 

  40. *                                                                             *
    41. 

  41. *     A = Factor in the exponential of the incomplete Lipschitz-Hankel        *
    42. 

  42. *         integral. (Complex array, Size is set by MNUMA)                     *
    43. 

  43. *     Z = Upper limit of integration. (Complex, Real(Z)>0)                    *
    44. 

  44. *     NUMA = Number of actual terms in the A array.							*
    45. 

  45. *	FLAG = 0; NEED TO COMPUTE BOTH HE01 AND HE02							*

    46. 

  46. *		 = 1; ONLY NEED TO COMPUTE HE01										*

    47. 

  47. *		 = 2; ONLY NEED TO COMPUTE HE02										*

    48. 

  48. *************************************************************************************************
    49. 

  49. *     OUTPUTS:																				  *
    50. 

  50. *																							  *
    51. 

  51. *     PCKEXP1/PCKEXP2 = Tells which expansion was used.										  *
    52. 

  52. *     HE01EX/HE02EX = Computed value for the incomplete Lipschitz-Hankel integral.			  *

    53. 

  53. *	HE01CX/HE02CX = Computed value for the complimentary incomplete Lipschitz-Hankel integral.*

    54. 

  54. *	HE01SX/HE02SX = Computed value for the incomplete Lipschitz-Hankel star integral.		  *

    55. 

  55. *     HE01D0/HE02D0 = RETURN HE01(A,DELTA,0)*EXPAZ/HE02(A,DELTA,0)*EXPAZ IF COMPUTED.			  *

    56. 

  56. *	SQASP11/SQASP12= SQRT(a^2+1) CONSIDERING THE BRANCH CUT WHEN USING ASYMPTOTIC OR		  *

    57. 

  57. *					 QUASI-NEUMANN.OTHERWISE, ALWAYS POSITVE REAL PART.						  * 	

    58. 

  58. *************************************************************************************************
    59. 

  59. *     SUBROUTINES AND FUNCTIONS CALLED:                                       *
    60. 

  60. *                                                                             *
    61. 

  61. *     CHANKL = Computes Jn, Yn AND HN1, HN2							        *
    62. 

  62. *     CFNDEXP1/CFNDEXP2 = Determine which expansion to use.                   *
    63. 

  63. *     CFDHE01/CFDHE02 = Compute HE01/HE02 using the proper expansion.		    *
    64. 

  64. *******************************************************************************
    65. 

  65. *     VARIABLE DECLARATIONS:
    66. 

  66. *

    67. 

  67. $Declare
    68. 

  68.       PARAMETER (MAXNOJ=500)

    69. 

  69. 

    70. 

  70.       INTEGER,INTENT(IN):: NUMA,MNUMA,FLAG
    71. 

  71. 	COMPLEX*16,INTENT(IN)::Z,A(MNUMA)

    72. 

  72. 	COMPLEX*16,INTENT(OUT):: HE01D0(MNUMA),HE02D0(MNUMA)

    73. 

  73.       COMPLEX*16,INTENT(INOUT)::SQASP11(MNUMA),EXPAZ(MNUMA),

    74. 

  74.      &						SQASP12(MNUMA)

    75. 

  75.       COMPLEX*16,INTENT(OUT):: HE01CX(MNUMA), HE02CX(MNUMA)

    76. 

  76.       COMPLEX*16,INTENT(OUT):: HE01EX(MNUMA), HE02EX(MNUMA)

    77. 

  77.       COMPLEX*16,INTENT(OUT):: HE01SX(MNUMA), HE02SX(MNUMA)

    78. 

  78.       COMPLEX*16,INTENT(OUT):: H01, H02, H11, H12

    79. 

  79.       INTEGER,INTENT(OUT):: PCKEXP1(MNUMA),PCKEXP2(MNUMA)

    80. 

  80. 	DOUBLE PRECISION,INTENT(IN):: RELERR

    81. 

  81. 

    82. 

  82. *********LOCAL VARIABLE************************************************

    83. 

  83.       DOUBLE PRECISION ZJASY,ZSP,COMPAR,ABASP1
    84. 

  84.       COMPLEX*16 JBESS(0:MAXNOJ),YBESS(0:MAXNOJ)
    85. 

  85.       COMPLEX*16 JBESSAZ(0:MAXNOJ),YBESSAZ(0:MAXNOJ)

    86. 

  86.       COMPLEX*16 HN1(0:MAXNOJ), HN2(0:MAXNOJ)
    87. 

  87.       COMPLEX*16 BFH0,BFH1,HN1AZ(0:MAXNOJ), HN2AZ(0:MAXNOJ)
    88. 

  88.       COMPLEX*16 ASP1,U(0:MAXNOJ),LOGA(MNUMA),LOGNA(MNUMA),FRONT(MNUMA)
    89. 

  89.       COMPLEX*16 EK(0:MAXNOJ),P(0:MAXNOJ), HE01, HE02,CE1
    90. 

  90.   

    91. 

  91.       INTEGER NOJ,KMAX_1(NUMA),INTZ,NOH1,NOH2,N,FWD_FLAG,NOY

    92. 

  92. 	INTEGER NOJAZ,NOYAZ,NOH1AZ,NOH2AZ,KMAX_2(NUMA),K,FWD_FLAGAZ

    93. 

  93. 

    94. 

  94.       DOUBLE PRECISION APROX1, APROX2,AZ
    95. 

  95.       DOUBLE PRECISION IMZ
    96. 

  96.       LOGICAL  NEWZ, NEEDJ,NEEDSTRU,NEEDAZ,NEEDUEP,NEEDJ_FLAG

    97. 

  97. 	INTEGER FWD_FLAG1,FWD_FLAG2

    98. 

  98.       PARAMETER (E=2.71828)

    99. 

  99. ****************************************************************************

    100. 

  100. *	NEEDJ_FLAG=0 ALL THE SERIES IS SECOND CONVERGENT, SO NO NEED TO COMPUTE Jn(Z)

    101. 

  101. *			  =1 AT LEAST ONE OF THE SERIES NEED COMPUTE Jn(Z) BY BACKWARD

    102. 

  102. *			  =2 ALL THE SERIES CAN USE FORWARD TO GET HN1 AND HN2, NO Jn(Z) NEEDED

    103. 

  103. *******************************************************************************
    104. 

  104. *     COMMON BLOCKS
    105. 

  105. *
    106. 

  106. *     FACTOR(K)=SQPI/(2.**(K+1)*GAMMA(K+1.5))
    107. 

  107.       DOUBLE PRECISION FACTOR(0:500)
    108. 

  108.       COMMON/FACT/FACTOR
    109. 

  109. 

  110.       DOUBLE PRECISION PI, TWOPI

    111. 

  111. 	COMPLEX*16 IM
    112. 

  112.       COMMON/CONST/ PI, TWOPI,IM
    113. 

  113. 

    114. 

  114.       INTEGER ZLO, ALO(2)

    115. 

  115.       COMMON /ZALO/ ZLO, ALO

    116. 

  116. 

    117. 

  117.       INTEGER SD

    118. 

  118.       COMMON /SIGDIG/ SD
    119. 

  119. 

  120. *******************************************************************************

    121. 

  121. 	EXTERNAL CHANKL,CFDHEXP1,CFDHE01,CFDHEXP2,CFDHE02,CHAE01,CHAE02

    122. 

  122. ****************************************************************************
    123. 

  123. *     Calculate an array of Hankel functions. This subroutine calculates

    124. 

  124. *     as many Hankel functions that are required for forward recurrence

    125. 

  125. *     to be stable for higher orders.  The higher order Hankel functions

    126. 

  126. *     are calculated as needed.[4]
    127. 

  127. 	NEEDJ=.TRUE.

    128. 

  128. 

    129. 

  129.       DO 10 N = 1, NUMA

    130. 

  130. *SQASP1 is always choose the positive real part.

    131. 

  131. 	  SQASP12(N)=SQASP11(N)

    132. 

  132.  10   CONTINUE

    133. 

  133. 

    134. 

  134.       ZSP=ABS(Z)

    135. 

  135.       INTZ=NINT(ZSP+2)

    136. 

  136. 	ZJASY = REAL(SD+5)

    137. 

  137. 

    138. 

  138. **************** Determine which expansion to use.

    139. 

  139. 

    140. 

  140. 	IF(FLAG==2)THEN

    141. 

  141.         DO N=1,NUMA

    142. 

  142. 		CALL CFDHEXP2(A(N),Z,SQASP12(N),RELERR,KMAX_2(N),PCKEXP2(N))

    143. 

  143. 	  END DO

    144. 

  144. * Determine if the CHANKL.F need to be called, i.e. if need to compute Jn(Z) by backward

    145. 

  145. * THOUGH PCKEXP=12 NEED NOT COMPUTE HN1/2(Z), HOWEVER, WE NEED RETURN HN1/2(Z) FIRST AND SECOND ORDER

    146. 

  146. * SET DEFAULT TO USE ASYMPTOTIC EXPRESION TO COMPUTE HN1/2(0) AND HN1/2(1)

    147. 

  147. 	  NEEDJ_FLAG=.FALSE.

    148. 

  148. 	  DO N=1,NUMA

    149. 

  149. 		IF (PCKEXP2(N)>=14.OR. ZSP<20.0) THEN

    150. 

  150. * USE BACKWARD TO COMPUTE JBESS, HN1/2(0) AND HN1/2(1)

    151. 

  151. 			NEEDJ_FLAG=.TRUE.

    152. 

  152. 		END IF

    153. 

  153. 	  END DO

    154. 

  154. 	

    155. 

  155. 	  IF(NEEDJ_FLAG==.FALSE.) THEN

    156. 

  156. * USE ASYMPTOTIC EXPRESION TO COMPUTE HN1/2(0) AND HN1/2(1)

    157. 

  157. 		CALL CHAE02(Z,RELERR*1.D-6,HN2(0),HN2(1))

    158. 

  158. 		IF (REAL(Z)==0. .AND. IMAG(Z)<0.) THEN

    159. 

  159. 			HN2(0)=IM*IMAG(HN2(0))

    160. 

  160. 			HN2(1)=DBLE(HN2(1))

    161. 

  161. 		END IF

    162. 

  162. 		NOH2=1

    163. 

  163. 		FWD_FLAG2=2

    164. 

  164. 	  ELSE

    165. 

  165. * USE BEWARD TO COMPUTE Jn AND HN1/HN2

    166. 

  166. 	    CALL CHANKL(Z,RELERR,JBESS,NEEDJ,MAXNOJ,NOJ,HN1,HN2,

    167. 

  167.      &				NOH1,NOH2,YBESS,NOY,FWD_FLAG)

    168. 

  168. 		FWD_FLAG2=FWD_FLAG

    169. 

  169. 	  END IF

    170. 

  170. 

    171. 

  171. ***********Compute the ILHIs using the proper expansion.

    172. 

  172. 	  NEEDSTRU=.TRUE.

    173. 

  173.         DO N = 1, NUMA

    174. 

  174. 		NEEDAZ=.TRUE.

    175. 

  175. 		NEEDUEP=.TRUE.

    176. 

  176. 	    

    177. 

  177. 		IF(PCKEXP2(N)==14) THEN 

    178. 

  178. 			DO K = 0, MAXNOJ

    179. 

  179. 				U(K) = 0.D0

    180. 

  180. 			END DO

    181. 

  181. 		END IF

    182. 

  182. 

    183. 

  183. 		CALL CFDHE02(Z,A(N),RELERR,SQASP12(N),PCKEXP2(N),KMAX_2(N),

    184. 

  184.      &       EXPAZ(N),JBESS,YBESS,MAXNOJ,NOJ,NOY,HN1,HN2,NOH1,NOH2,

    185. 

  185.      &       NEEDJ,HE02CX(N),HE02EX(N),HE02SX(N),HE02D0(N),U,

    186. 

  186.      &       EK,P,NEEDUEP,ZJASY,FWD_FLAG2,BFH0,BFH1,NEEDSTRU,JBESSAZ,

    187. 

  187.      &	   YBESSAZ,NOJAZ,NOYAZ,HN1AZ,HN2AZ,NOH1AZ,NOH2AZ,NEEDAZ,

    188. 

  188.      &	   FWD_FLAGAZ,CE1)

    189. 

  189. 	  END DO

    190. 

  190. 

    191. 

  191. 	ELSE IF(FLAG==1)THEN

    192. 

  192.         DO N=1,NUMA

    193. 

  193. 		CALL CFDHEXP1(A(N),Z,SQASP11(N),RELERR,KMAX_1(N),PCKEXP1(N))

    194. 

  194. 	  END DO

    195. 

  195. * Determine if the CHANKL.F need to be called, i.e. if need to compute Jn(Z) by backward

    196. 

  196. * THOUGH PCKEXP=12 NEED NOT COMPUTE HN1/2(Z), HOWEVER, WE NEED RETURN HN1/2(Z) FIRST AND SECOND ORDER

    197. 

  197. * SET DEFAULT TO USE ASYMPTOTIC EXPRESION TO COMPUTE HN1/2(0) AND HN1/2(1)

    198. 

  198. 	  NEEDJ_FLAG=.FALSE.

    199. 

  199. 	  DO N=1,NUMA

    200. 

  200. 		IF (PCKEXP1(N)>=14.OR. ZSP<20.0) THEN

    201. 

  201. * USE BACKWARD TO COMPUTE JBESS, HN1/2(0) AND HN1/2(1)

    202. 

  202. 			NEEDJ_FLAG=.TRUE.

    203. 

  203. 		END IF

    204. 

  204. 	  END DO

    205. 

  205. 	

    206. 

  206. 	  IF(NEEDJ_FLAG==.FALSE.) THEN

    207. 

  207. * USE ASYMPTOTIC EXPRESION TO COMPUTE HN1/2(0) AND HN1/2(1)

    208. 

  208. 		CALL CHAE01(Z,RELERR*1.D-6,HN1(0),HN1(1))

    209. 

  209. 		IF(REAL(Z)==0. .AND. IMAG(Z)>0.) THEN

    210. 

  210. 			HN1(0)=IM*IMAG(HN1(0))

    211. 

  211. 			HN1(1)=DBLE(HN1(1))

    212. 

  212. 		END IF

    213. 

  213. 		NOH1=1

    214. 

  214. 		FWD_FLAG1=1

    215. 

  215. 	  ELSE

    216. 

  216. * USE BEWARD TO COMPUTE Jn AND HN1/HN2

    217. 

  217. 	    CALL CHANKL(Z,RELERR,JBESS,NEEDJ,MAXNOJ,NOJ,HN1,HN2,

    218. 

  218.      &				NOH1,NOH2,YBESS,NOY,FWD_FLAG)

    219. 

  219. 		FWD_FLAG1=FWD_FLAG

    220. 

  220. 	  END IF

    221. 

  221. 

    222. 

  222. ***********Compute the ILHIs using the proper expansion.

    223. 

  223. 	  NEEDSTRU=.TRUE.

    224. 

  224.         DO N = 1, NUMA

    225. 

  225. 		NEEDAZ=.TRUE.

    226. 

  226. 		NEEDUEP=.TRUE.

    227. 

  227. 	    

    228. 

  228. 		IF(PCKEXP1(N)==14) THEN 

    229. 

  229. 			DO K = 0, MAXNOJ

    230. 

  230. 				U(K) = 0.D0

    231. 

  231. 			END DO

    232. 

  232. 		END IF

    233. 

  233. 

    234. 

  234.           CALL CFDHE01(Z,A(N),RELERR,SQASP11(N),PCKEXP1(N),KMAX_1(N),

    235. 

  235.      &       EXPAZ(N),JBESS,YBESS,MAXNOJ,NOJ,NOY,HN1,HN2,NOH1,NOH2,

    236. 

  236.      &       NEEDJ,HE01CX(N),HE01EX(N),HE01SX(N),HE01D0(N),U,

    237. 

  237.      &       EK,P,NEEDUEP,ZJASY,FWD_FLAG1,BFH0,BFH1,NEEDSTRU,JBESSAZ,

    238. 

  238.      &	   YBESSAZ,NOJAZ,NOYAZ,HN1AZ,HN2AZ,NOH1AZ,NOH2AZ,NEEDAZ,

    239. 

  239.      &	   FWD_FLAGAZ,CE1)

    240. 

  240. 

    241. 

  241. 	  END DO

    242. 

  242. 

    243. 

  243. 	ELSE

    244. 

  244.         DO N=1,NUMA

    245. 

  245. 		CALL CFDHEXP1(A(N),Z,SQASP11(N),RELERR,KMAX_1(N),PCKEXP1(N))

    246. 

  246. 		CALL CFDHEXP2(A(N),Z,SQASP12(N),RELERR,KMAX_2(N),PCKEXP2(N))

    247. 

  247. 	  END DO

    248. 

  248. * Determine if the CHANKL.F need to be called, i.e. if need to compute Jn(Z) by backward

    249. 

  249. * THOUGH PCKEXP=12 NEED NOT COMPUTE HN1/2(Z), HOWEVER, WE NEED RETURN HN1/2(Z) FIRST AND SECOND ORDER

    250. 

  250. * SET DEFAULT TO USE ASYMPTOTIC EXPRESION TO COMPUTE HN1/2(0) AND HN1/2(1)

    251. 

  251. 	  NEEDJ_FLAG=.FALSE.

    252. 

  252. 	  DO N=1,NUMA

    253. 

  253. 		IF (PCKEXP1(N)>=14 .OR. PCKEXP2(N)>=14 

    254. 

  254.      &			.OR. ZSP<20.0) THEN

    255. 

  255. * USE BACKWARD TO COMPUTE JBESS, HN1/2(0) AND HN1/2(1)

    256. 

  256. 			NEEDJ_FLAG=.TRUE.

    257. 

  257. 		END IF

    258. 

  258. 	  END DO

    259. 

  259. 	

    260. 

  260. 	  IF(NEEDJ_FLAG==.FALSE.) THEN

    261. 

  261. * USE ASYMPTOTIC EXPRESION TO COMPUTE HN1/2(0) AND HN1/2(1)

    262. 

  262. 		CALL CHAE01(Z,RELERR*1.D-6,HN1(0),HN1(1))

    263. 

  263. 		CALL CHAE02(Z,RELERR*1.D-6,HN2(0),HN2(1))

    264. 

  264. 		IF(REAL(Z)==0. .AND. IMAG(Z)>0.) THEN

    265. 

  265. 			HN1(0)=IM*IMAG(HN1(0))

    266. 

  266. 			HN1(1)=DBLE(HN1(1))

    267. 

  267. 		ELSE IF (REAL(Z)==0. .AND. IMAG(Z)<0.) THEN

    268. 

  268. 			HN2(0)=IM*IMAG(HN2(0))

    269. 

  269. 			HN2(1)=DBLE(HN2(1))

    270. 

  270. 		END IF

    271. 

  271. 		NOH1=1

    272. 

  272. 		NOH2=1

    273. 

  273. 		FWD_FLAG1=1

    274. 

  274. 		FWD_FLAG2=2

    275. 

  275. 	  ELSE

    276. 

  276. * USE BEWARD TO COMPUTE Jn AND HN1/HN2

    277. 

  277. 	    CALL CHANKL(Z,RELERR,JBESS,NEEDJ,MAXNOJ,NOJ,HN1,HN2,

    278. 

  278.      &				NOH1,NOH2,YBESS,NOY,FWD_FLAG)

    279. 

  279. 		FWD_FLAG1=FWD_FLAG

    280. 

  280. 		FWD_FLAG2=FWD_FLAG

    281. 

  281. 	  END IF

    282. 

  282. 

    283. 

  283. ***********Compute the ILHIs using the proper expansion.

    284. 

  284. 	  NEEDSTRU=.TRUE.

    285. 

  285.         DO N = 1, NUMA

    286. 

  286. 		NEEDAZ=.TRUE.

    287. 

  287. 		NEEDUEP=.TRUE.

    288. 

  288. 	    

    289. 

  289. 		IF(PCKEXP2(N)==14 .OR. PCKEXP1(N)==14) THEN 

    290. 

  290. 			DO K = 0, MAXNOJ

    291. 

  291. 				U(K) = 0.D0

    292. 

  292. 			END DO

    293. 

  293. 		END IF

    294. 

  294. 

    295. 

  295.           CALL CFDHE01(Z,A(N),RELERR,SQASP11(N),PCKEXP1(N),KMAX_1(N),

    296. 

  296.      &       EXPAZ(N),JBESS,YBESS,MAXNOJ,NOJ,NOY,HN1,HN2,NOH1,NOH2,

    297. 

  297.      &       NEEDJ,HE01CX(N),HE01EX(N),HE01SX(N),HE01D0(N),U,

    298. 

  298.      &       EK,P,NEEDUEP,ZJASY,FWD_FLAG1,BFH0,BFH1,NEEDSTRU,JBESSAZ,

    299. 

  299.      &	   YBESSAZ,NOJAZ,NOYAZ,HN1AZ,HN2AZ,NOH1AZ,NOH2AZ,NEEDAZ,

    300. 

  300.      &	   FWD_FLAGAZ,CE1)

    301. 

  301. 

    302. 

  302. 		CALL CFDHE02(Z,A(N),RELERR,SQASP12(N),PCKEXP2(N),KMAX_2(N),

    303. 

  303.      &       EXPAZ(N),JBESS,YBESS,MAXNOJ,NOJ,NOY,HN1,HN2,NOH1,NOH2,

    304. 

  304.      &       NEEDJ,HE02CX(N),HE02EX(N),HE02SX(N),HE02D0(N),U,

    305. 

  305.      &       EK,P,NEEDUEP,ZJASY,FWD_FLAG2,BFH0,BFH1,NEEDSTRU,JBESSAZ,

    306. 

  306.      &	   YBESSAZ,NOJAZ,NOYAZ,HN1AZ,HN2AZ,NOH1AZ,NOH2AZ,NEEDAZ,

    307. 

  307.      &	   FWD_FLAGAZ,CE1)

    308. 

  308. 	  END DO

    309. 

  309. 

    310. 

  310. 	END IF	

    311. 

  311. 	H01=HN1(0)

    312. 

  312. 	H11=HN1(1)

    313. 

  313. 	H02=HN2(0)

    314. 

  314. 	H12=HN2(1)

    315. 

  315. 

    316. 

  316.       RETURN

    317. 

  317.       END
    318. 

  318.