forked from lruhlen/Original_Peter_Code
-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathgi.F
More file actions
480 lines (479 loc) · 18.1 KB
/
gi.F
File metadata and controls
480 lines (479 loc) · 18.1 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
subroutine GI(K2)
c
include 'parm.h'
include 'var.h'
DATA GRAV/6.6704D-8/
DATA PI /3.14159265359d0/
c DATA ELOG/ .434294d0/
DATA XINC/.0005d0/
DATA HMASS/1.6732d-24/
save
C
J2=abs(K2)
J1=J2-1
J3=J2+1
c if(vx(j2,4).gt.5.e6) then
c I1=-J1
c I2=-J2
c I3=-J3
c else
c I1=J1
c I2=J2
c I3=J3
c endif
if(K2.gt.0) then
do j=1,NG
do k=1,NG
HC(j,k)=0.d0
HD(j,k)=0.d0
HE(j,k)=0.d0
enddo
enddo
endif
if(dTIME.le.0.d0) then
brem=0.d0
else
brem=Cwrk/dTIME
endif
if (J2.eq.1) then
zMhf2=zM(J2)-0.5*dM(J2)
zMhf3=zM(J2)+0.5*dM(J3)
GMdM = GRAV*zM(J2)*(dM(J2)+dM(J3))/(8.d0*PI)
call invstate(20,x(j3,1),x(j3,4),hydrogen(j3),helium4(j3),Crad, &
& RHO3,cP3,alpha3,beta3,delta3)
call invstate(21,x(j2,1),x(j2,4),hydrogen(j2),helium4(j2),Crad, &
& RHO2,cP,alpha,beta,delta)
call flip(x(j2,4),hydrogen(j2),helium4(j2),helium3(j2),iflip)
QNh1 = hydrogen(j2)*RHO2/HMASS
QNh2 =deuterium(j2)*RHO2/2.d0/HMASS
QNhe3 = helium3(j2)*RHO2/3.d0/HMASS
CALL NUCRAT(RHO2,X(J2,4),QNh1,QNh2,QNhe3,DTIME,EP, &
& Rpp,Rhe3,Rcno,R3a,R12a,Xpd,Xpc,Xpn,Xpo, &
& helium4(j2),carbon(j2),trogen(j2),oxygen(j2), &
& xpp23,iflip,-j2)
call nabla(x(j3,1),X(J3,2),X(J3,3),X(J3,4),zMhf3, &
& TPNAB3,ADNAB,RADNAB,J3,IC)
iconvect(j3) = ic
call nabla(X(J2,1),X(J2,2),X(J2,3),X(J2,4),zMhf2, &
& TPNAB2,ADNAB,RADNAB,J2,IC)
iconvect(j2) = ic
if(K2.gt.0) then
PN=X(J2,1)*(1.d0+XINC)
PM=X(J3,1)*(1.d0+XINC)
call invstate(23,PN,x(j2,4),hydrogen(j2),helium4(j2),Crad, &
& RHP2,cPP,alphaP,beta,deltaP)
call nabla(PN,X(J2,2),X(J2,3),X(J2,4),zMhf2, &
& TPNAB2P,ADNAB,RADNAB,J2,IC)
call nabla(PM,X(J3,2),X(J3,3),X(J3,4),zMhf3, &
& TPNAB3P,ADNAB,RADNAB,J3,IC)
RN=X(J2,2)*(1.d0+XINC)
RM=X(J3,2)*(1.d0+XINC)
call nabla(X(J2,1),RN,X(J2,3),X(J2,4),zMhf2, &
& TPNAB2R,ADNAB,RADNAB,J2,IC)
call nabla(X(J3,1),RM,X(J3,3),X(J3,4),zMhf3, &
& TPNAB3R,ADNAB,RADNAB,J3,IC)
XLN=X(J2,3)*(1.d0+XINC)
XLM=X(J3,3)*(1.d0+XINC)
call nabla(X(J2,1),X(J2,2),XLN,X(J2,4),zMhf2, &
& TPNAB2L,ADNAB,RADNAB,J2,IC)
call nabla(X(J3,1),X(J3,2),XLM,X(J3,4),zMhf3, &
& TPNAB3L,ADNAB,RADNAB,J3,IC)
TN=X(J2,4)*(1.d0-XINC)
TM=X(J3,4)*(1.d0-XINC)
call invstate(25,x(j2,1),TN,hydrogen(j2),helium4(j2),Crad, &
& RHT2,cPT,alphaT,beta,deltaT)
CALL NUCRAT(RHO2,TN,QNh1,QNh2,QNhe3,DTIME,EPT, &
& Rpp,Rhe3,Rcno,R3a,R12a,Xpd,Xpc,Xpn,Xpo, &
& helium4(j2),carbon(j2),trogen(j2),oxygen(j2), &
& xpp23,iflip,-j2)
call nabla(X(J2,1),X(J2,2),X(J2,3),TN,zMhf2, &
& TPNAB2T,ADNAB,RADNAB,J2,IC)
call nabla(X(J3,1),X(J3,2),X(J3,3),TM,zMhf3, &
& TPNAB3T,ADNAB,RADNAB,J3,IC)
RHD=RHO2*(1.d0+XINC)
QNh1 = hydrogen(j2)*rhD /HMASS
QNh2 =deuterium(j2)*rhD /2.d0/HMASS
QNhe3 = helium3(j2)*rhD /3.d0/HMASS
CALL NUCRAT(RHD,X(J2,4),QNh1,QNh2,QNhe3,DTIME,EPD, &
& Rpp,Rhe3,Rcno,R3a,R12a,Xpd,Xpc,Xpn,Xpo, &
& helium4(j2),carbon(j2),trogen(j2),oxygen(j2), &
& xpp23,iflip,-j2)
dRHdP2=(RHP2-RHO2)/(XINC*X(J2,1))
dRHdT2=(RHT2-RHO2)/(-XINC*X(J2,4))
dEPdR=(EPD-EP)/(XINC*RHO2)
dEPdT=(EPT-EP)/(-XINC*X(J2,4)) + dEPdR*dRHdT2
dEPdP=dEPdR*dRHdP2
dcPdP=(cPP-cP)/(XINC*X(J2,1))
dcPdT=(cPT-cP)/(-XINC*X(J2,4))
ddeldP=(deltaP-delta)/(XINC*X(J2,1))
ddeldT=(deltaT-delta)/(-XINC*X(J2,4))
dNAB2P=(TPNAB2P-TPNAB2)/(XINC*X(J2,1))
dNAB2R=(TPNAB2R-TPNAB2)/(XINC*X(J2,2))
dNAB2L=(TPNAB2L-TPNAB2)/(XINC*X(J2,3))
dNAB2T=(TPNAB2T-TPNAB2)/(-XINC*X(J2,4))
dNAB3P=(TPNAB3P-TPNAB3)/(XINC*X(J3,1))
dNAB3R=(TPNAB3R-TPNAB3)/(XINC*X(J3,2))
dNAB3L=(TPNAB3L-TPNAB3)/(XINC*X(J3,3))
dNAB3T=(TPNAB3T-TPNAB3)/(-XINC*X(J3,4))
HD(1,1) =-1.d0
HD(1,2) =-4.d0*GMdM/X(J2,2)**5
HE(1,1) = 1.d0
HD(2,1) = dM(J2)*0.75d0/(PI*RHO2**2)*dRHdP2
HD(2,2) = 3.d0*X(J2,2)**2
HD(2,4) = dM(J2)*0.75d0/(PI*RHO2**2)*dRHdT2
HD(3,1) =-dM(J2)*( dEPdP &
& -dcPdP * (X(J2,4)-VX(J2,4))*brem &
& +delta/RHO2 *brem &
& +ddeldP/RHO2 * (X(J2,1)-VX(J2,1))*brem &
& -delta/RHO2**2 * dRHdP2 * (X(J2,1)-VX(J2,1))*brem )
HD(3,3) = 1.d0
HD(3,4) =-dM(J2)*( dEPdT &
& -cP * brem &
& -dcPdT * (X(J2,4)-VX(J2,4))*brem &
& +ddeldT/RHO2 * (X(J2,1)-VX(J2,1))*brem &
& -delta/RHO2**2 * dRHdT2 * (X(J2,1)-VX(J2,1))*brem )
HD(4,1) = 0.5d0*(TPNAB3+TPNAB2) &
& - (X(J3,1)-X(J2,1))*0.5d0*dNAB2P
HD(4,2) = - (X(J3,1)-X(J2,1))*0.5d0*dNAB2R
HD(4,3) = - (X(J3,1)-X(J2,1))*0.5d0*dNAB2L
HD(4,4) =-1.d0 - (X(J3,1)-X(J2,1))*0.5d0*dNAB2T
HE(4,1) =-0.5d0*(TPNAB3+TPNAB2) &
& - (X(J3,1)-X(J2,1))*0.5d0*dNAB3P
HE(4,2) = - (X(J3,1)-X(J2,1))*0.5d0*dNAB3R
HE(4,3) = - (X(J3,1)-X(J2,1))*0.5d0*dNAB3L
HE(4,4) = 1.d0 - (X(J3,1)-X(J2,1))*0.5d0*dNAB3T
endif
G(1) = X(J3,1)-X(J2,1) + GMdM/X(J2,2)**4
G(2) = X(J2,2)**3 - dM(J2)*0.75d0/(PI*RHO2)
G(3) = X(J2,3) - dM(J2)*( EP - cP * (X(J2,4)-VX(J2,4))*brem &
& + delta/RHO2 * (X(J2,1)-VX(J2,1))*brem )
G(4) = (X(J3,4)-X(J2,4)) &
& -(X(J3,1)-X(J2,1))*0.5d0*(TPNAB3+TPNAB2)
C write(6,*) j2, ' Gs ', g(1),g(2),g(3),g(4)
return
endif
if(J2.gt.1 .and. J2.lt.N) then
zMhf2=zM(J2)-0.5*dM(J2)
zMhf3=zM(J2)+0.5*dM(J3)
GMdM = GRAV*zM(J2)*(dM(J2)+dM(J3))/(8.d0*PI)
if(K2.gt.0) then
TPNAB2= TPNAB3
else
call nabla(X(J2,1),X(J2,2),X(J2,3),X(J2,4),zMhf2, &
& TPNAB2,ADNAB,RADNAB,J2,IC)
endif
call invstate(26,x(j2,1),x(j2,4),hydrogen(j2),helium4(j2), &
& Crad,RHO2,cP,alpha,beta,delta)
call flip(x(j2,4),hydrogen(j2),helium4(j2),helium3(j2),iflip)
call nabla(X(J3,1),X(J3,2),X(J3,3),X(J3,4),zMhf3, &
& TPNAB3,ADNAB,RADNAB,J3,IC)
iconvect(j3) = ic
QNh1 = hydrogen(j2)*RHO2/HMASS
QNh2 =deuterium(j2)*RHO2/2.d0/HMASS
QNhe3 = helium3(j2)*RHO2/3.d0/HMASS
CALL NUCRAT(RHO2,X(J2,4),QNh1,QNh2,QNhe3,DTIME,EP, &
& Rpp,Rhe3,Rcno,R3a,R12a,Xpd,Xpc,Xpn,Xpo, &
& helium4(j2),carbon(j2),trogen(j2),oxygen(j2), &
& xpp23,iflip,-j2)
if(K2.gt.0) then
dNAB2P = dNAB3P
dNAB2R = dNAB3R
dNAB2L = dNAB3L
dNAB2T = dNAB3T
TPNAB2P=TPNAB3P
TPNAB2R=TPNAB3R
TPNAB2L=TPNAB3L
TPNAB2T=TPNAB3T
PN=X(J2,1)*(1.d0+XINC)
PM=X(J3,1)*(1.d0+XINC)
call invstate(27,PN,x(j2,4),hydrogen(j2),helium4(j2),Crad, &
& RHP2,cPP,alphaP,beta,deltaP)
call nabla(PM,X(J3,2),X(J3,3),X(J3,4),zMhf3, &
& TPNAB3P,ADNAB,RADNAB,J3,IC)
RM=X(J3,2)*(1.d0+XINC)
call nabla(X(J3,1),RM,X(J3,3),X(J3,4),zMhf3, &
& TPNAB3R,ADNAB,RADNAB,J3,IC)
XLM=X(J3,3)*(1.d0+XINC)
call nabla(X(J3,1),X(J3,2),XLM,X(J3,4),zMhf3, &
& TPNAB3L,ADNAB,RADNAB,J3,IC)
TN=X(J2,4)*(1.d0-XINC)
TM=X(J3,4)*(1.d0-XINC)
call invstate(28,x(j2,1),TN,hydrogen(j2),helium4(j2),Crad, &
& RHT2,cPT,alphaT,beta,deltaT)
CALL NUCRAT(RHO2,TN,QNh1,QNh2,QNhe3,DTIME,EPT, &
& Rpp,Rhe3,Rcno,R3a,R12a,Xpd,Xpc,Xpn,Xpo, &
& helium4(j2),carbon(j2),trogen(j2),oxygen(j2), &
& xpp23,iflip,-j2)
call nabla(X(J3,1),X(J3,2),X(J3,3),TM,zMhf3, &
& TPNAB3T,ADNAB,RADNAB,J3,IC)
RHD=RHO2*(1.d0+XINC)
QNh1 = hydrogen(j2)*rhD /HMASS
QNh2 =deuterium(j2)*rhD /2.d0/HMASS
QNhe3 = helium3(j2)*rhD /3.d0/HMASS
CALL NUCRAT(RHD,X(J2,4),QNh1,QNh2,QNhe3,DTIME,EPD, &
& Rpp,Rhe3,Rcno,R3a,R12a,Xpd,Xpc,Xpn,Xpo, &
& helium4(j2),carbon(j2),trogen(j2),oxygen(j2), &
& xpp23,iflip,-j2)
dRHdP2=(RHP2-RHO2)/(XINC*X(J2,1))
dRHdT2=(RHT2-RHO2)/(-XINC*X(J2,4))
dEPdR=(EPD-EP)/(XINC*RHO2)
dEPdT=(EPT-EP)/(-XINC*X(J2,4)) + dEPdR*dRHdT2
dEPdP=dEPdR*dRHdP2
dcPdP=(cPP-cP)/(XINC*X(J2,1))
dcPdT=(cPT-cP)/(-XINC*X(J2,4))
ddeldP=(deltaP-delta)/(XINC*X(J2,1))
ddeldT=(deltaT-delta)/(-XINC*X(J2,4))
dNAB3P=(TPNAB3P-TPNAB3)/(XINC*X(J3,1))
dNAB3R=(TPNAB3R-TPNAB3)/(XINC*X(J3,2))
dNAB3L=(TPNAB3L-TPNAB3)/(XINC*X(J3,3))
dNAB3T=(TPNAB3T-TPNAB3)/(-XINC*X(J3,4))
HD(1,1) =-1.d0
HD(1,2) =-4.d0*GMdM/X(J2,2)**5
HE(1,1) = 1.d0
HC(2,2) =-3.d0*X(J1,2)**2
HD(2,1) = dM(J2)*0.75d0/(PI*RHO2**2)*dRHdP2
HD(2,2) = 3.d0*X(J2,2)**2
HD(2,4) = dM(J2)*0.75d0/(PI*RHO2**2)*dRHdT2
HC(3,3) =-1.d0
HD(3,1) =-dM(J2)*( dEPdP &
& -dcPdP * (X(J2,4)-VX(J2,4))*brem &
& +delta/RHO2 *brem &
& +ddeldP/RHO2 * (X(J2,1)-VX(J2,1))*brem &
& -delta/RHO2**2 * dRHdP2 * (X(J2,1)-VX(J2,1))*brem )
HD(3,3) = 1.d0
HD(3,4) =-dM(J2)*( dEPdT &
& -cP * brem &
& -dcPdT * (X(J2,4)-VX(J2,4))*brem &
& +ddeldT/RHO2 * (X(J2,1)-VX(J2,1))*brem &
& -delta/RHO2**2 * dRHdT2 * (X(J2,1)-VX(J2,1))*brem )
HD(4,1) = 0.5d0*(TPNAB3+TPNAB2) &
& - (X(J3,1)-X(J2,1))*0.5d0*dNAB2P
HD(4,2) = - (X(J3,1)-X(J2,1))*0.5d0*dNAB2R
HD(4,3) = - (X(J3,1)-X(J2,1))*0.5d0*dNAB2L
HD(4,4) =-1.d0 - (X(J3,1)-X(J2,1))*0.5d0*dNAB2T
HE(4,1) =-0.5d0*(TPNAB3+TPNAB2) &
& - (X(J3,1)-X(J2,1))*0.5d0*dNAB3P
HE(4,2) = - (X(J3,1)-X(J2,1))*0.5d0*dNAB3R
HE(4,3) = - (X(J3,1)-X(J2,1))*0.5d0*dNAB3L
HE(4,4) = 1.d0 - (X(J3,1)-X(J2,1))*0.5d0*dNAB3T
endif
G(1) = X(J3,1)-X(J2,1) + GMdM/X(J2,2)**4
G(2) = X(J2,2)**3 - X(J1,2)**3 - dM(J2)*0.75d0/(PI*RHO2)
G(3) = X(J2,3) - X(J1,3) - dM(J2)*( EP &
& - cP * (X(J2,4)-VX(J2,4))*brem &
& + delta/RHO2 * (X(J2,1)-VX(J2,1))*brem )
G(4) = (X(J3,4)-X(J2,4)) &
& -(X(J3,1)-X(J2,1))*0.5d0*(TPNAB3+TPNAB2)
C write(6,*) j2, ' Gs ', g(1),g(2),g(3),g(4)
return
endif
if (J2.eq.N) then
if(iter.ge.abs(itmax/2).or.X(j2,3).lt.0.) then
call atmos(Tatm,RHOatm,Ratm,Patm,VX(J2,2),VX(J2,3),0)
if(K2.gt.0) then
HD(1,1) = 1.d0
HD(2,2) = 1.d0
HC(2,2) =-1.d0
HD(3,3) = 1.d0
HC(3,3) =-1.d0
HD(4,4) = 1.d0
endif
else
call atmos(Tatm,RHOatm,Ratm,Patm,X(J2,2),X(J2,3),0)
if(K2.gt.0) then
RN=X(J2,2)*(1.d0+XINC )
call atmos(TatR,RHOatR,RatR,PatR,RN,X(J2,3),0)
xLN=X(J2,3)*(1.d0+XINC)
call atmos(TatL,RHOatL,RatL,PatL,X(J2,2),xLN,0)
dPadr = (PatR - Patm)/(XINC * X(J2,2))
dPadL = (PatL - Patm)/(XINC * X(J2,3))
dTadr = (TatR - Tatm)/(XINC * X(J2,2))
dTadL = (TatL - Tatm)/(XINC * X(J2,3))
dRadr = (RHOatR - RHOatm)/(XINC * X(J2,2))
dRadL = (RHOatL - RHOatm)/(XINC * X(J2,3))
datrdr = (RatR - Ratm)/(XINC * X(J2,2))
datrdL = (RatL - Ratm)/(XINC * X(J2,3))
c write(6,*) ' atmos derivs PTR ', dpadr,dpadl,dtadr,dtadl, &
c & dradr,dradl
HD(1,1) = 1.d0
HD(1,2) = -dPadr
HD(1,3) = -dPadL
HD(2,2) = 1.d0 - dredgedr - datrdR
HD(2,3) = - dredgedl - datrdL
HC(2,2) =-1.d0
HD(3,3) = 1.d0
HC(3,3) =-1.d0
HD(4,4) = 1.d0
HD(4,2) = -dTadr
HD(4,3) = -dTadL
endif
endif
G(1) = X(J2,1)-Patm
G(2) = X(J2,2)-X(J1,2) - Ratm
G(3) = X(J2,3)-X(J1,3)
G(4) = X(J2,4)-Tatm
c write(6,*) 'atmos Gs ', g(1),g(2),g(3),g(4)
return
endif
return
end
c
subroutine nabla(PRES,RAD,XLUM,TEMP,XMASS,TPNAB,ADNAB,RADNAB,J,IC)
C
C ** CHECK MIXING LENGTH GRADIENT AND CONVECTIVE VELOCITIES. **
C ** KIPPENHAHN,WEIGERT,HOFMEISTER... AND TALBOT AND SMITH
C
include 'parm.h'
include 'var.h'
c DATA anabcon/3.945322d+09/
DATA GRAV/6.6704D-8/
DATA PI /3.14159265359d0/
DATA SIG,RG/5.67051d-5,8.31451d7/
data iwrite/0/
data Trans,TRwidth/4.d5,10.d0/
save
anabcon=3.d0/(GRAV*PI*64.d0*SIG)
K=abs(J)
call invstate(31,PRES,TEMP,hydrogen(K),helium4(K),Crad, &
& RHO,cP,alpha,beta,delta)
RHOlog=log10(RHO)
Tlog =log10(TEMP)
call opacity(K,Tlog,RHOlog,bkap)
xkap=10.d0**bkap
radnab=anabcon/xMASS*xkap*xLUM*PRES/TEMP**4
adnab=delta*PRES/(cP*TEMP*RHO)
if(radnab.le.adnab) then
IC=1
TPNAB=TEMP/PRES*radnab
else
IC=0
TPNAB=TEMP/PRES*adnab
FACTR=max(0.d0,(vx(k,4)/Trans-1.d0)*TRwidth)
if(FACTR.gt.1.d0) return
WTM=Rg*RHO*TEMP/PRES
GR = GRAV*xmass/RAD**2
BET=1.d0
HP=Rg*TEMP/GR/WTM/BET
DIST=RLH*HP
C CONVECTIVE GRADIENT
A1=12.d0*SIG*TEMP**3/CP/RHO/RHO/DIST/XKAP
YOU=A1*SQRT(8.d0*HP/GR/DIST/DIST/DELTA)
E3=0.5048011d0*YOU*YOU
A2=YOU*(4.d0/9.d0*(radnab-adnab) + 0.2373622d0*YOU*YOU)
ddd=A2*A2+E3*E3*E3
Wd=(A2+sqrt(ddd))**(1.d0/3.d0)
C1=(Wd*Wd+0.7037037*Wd*YOU-E3)**2
DCONV=max(0.d0,C1/Wd/Wd-YOU*YOU)+adnab
if (dconv.lt. 0.d0)then
dconv=radnab
end if
TPNAB=FACTR*TPNAB + (1.d0-FACTR)*TEMP/PRES*dconv
end if
return
end
subroutine GID(J2)
C+
C The subroutine GID calculates the numerical derivatives to the
C equations given in GI and compares them to the analytical ones.
C
C Author: Harold W. Yorke (JPL)
C Date: 29-Jan-2003
C-
include 'parm.h'
include 'var.h'
dimension gk(MH),gg(MH)
data DINC/-0.0001/
c
save
c
j1=j2-1
j3=j2+1
write(6,221) '*********** GI(',j2,')=',(g(i),i=1,MH)
221 format(a,i4,a,1p,4E12.4)
222 format(i5,1p,4E10.2)
223 format(5x,1p,4E10.2)
224 format(5x,1p,4E10.2,' ********')
do i=1,MH
gk(i)=g(i)
enddo
call gi(-j2)
write(6,221) ' numerical GI(',j2,')=',(g(i),i=1,MH)
if(j2.gt.1) then
do k=1,MH
xkeep=x(j1,k)
x(j1,k) = x(j1,k)*(1.+DINC)
call gi(-j2)
x(j1,k) = xkeep
do i=1,MH
gg(i)=(g(i)-gk(i))/(DINC*xkeep+1.E-37)
enddo
write(6,222) j1,(gg(i),i=1,MH)
write(6,222) k,(HC(i,k),i=1,MH)
dddx=0.
do i=1,MH
xxxx = gg(i)
gg(i)=.5*(HC(i,k)-gg(i))/(1.E-37+HC(i,k)+gg(i))
HC(i,k)=xxxx
dddx=dddx+abs(gg(i))
enddo
if(dddx.lt.0.2) then
write(6,223) (gg(i),i=1,MH)
else
write(6,224) (gg(i),i=1,MH)
endif
enddo
endif
do k=1,MH
xkeep = x(j2,k)
x(j2,k) = x(j2,k)*(1.+DINC)
call gi(-j2)
x(j2,k) = xkeep
do i=1,MH
gg(i)=(g(i)-gk(i))/(DINC*xkeep+1.E-37)
enddo
write(6,222) j2,(gg(i),i=1,MH)
write(6,222) k,(HD(i,k),i=1,MH)
dddx=0.
do i=1,MH
xxxx = gg(i)
gg(i)=.5*(HD(i,k)-gg(i))/(1.E-37+HD(i,k)+gg(i))
HD(i,k)=xxxx
dddx=dddx+abs(gg(i))
enddo
if(dddx.lt.0.2) then
write(6,223) (gg(i),i=1,MH)
else
write(6,224) (gg(i),i=1,MH)
endif
enddo
if(j2.lt.N) then
do k=1,MH
xkeep = x(j3,k)
x(j3,k) = x(j3,k)*(1.+DINC)
call gi(-j2)
x(j3,k) = xkeep
do i=1,MH
gg(i)=(g(i)-gk(i))/(DINC*xkeep+1.E-37)
enddo
write(6,222) j3,(gg(i),i=1,MH)
write(6,222) k,(HE(i,k),i=1,MH)
dddx=0.
do i=1,MH
xxxx = gg(i)
gg(i)=.5*(HE(i,k)-gg(i))/(1.E-37+HE(i,k)+gg(i))
HE(i,k)=xxxx
dddx=dddx+abs(gg(i))
enddo
if(dddx.lt.0.2) then
write(6,223) (gg(i),i=1,MH)
else
write(6,224) (gg(i),i=1,MH)
endif
enddo
endif
call gi(j2)
do i=1,MH
g(i)=gk(i)
enddo
return
end