-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathSRBFestimation.f90
472 lines (472 loc) · 19.7 KB
/
SRBFestimation.f90
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
subroutine SRBFestimation(observationfl,surfhgtgrdfl,checkpointfl,para)
implicit none
character*800::observationfl,surfhgtgrdfl,checkpointfl,outfl,nstr(80)
character*80000::line,line0,str,astr
character(len=15)::znm(900000)
integer sn,kln,astat(20),i,j,k,NF,NF4,Kt,nn,mm,obsn,lvl,order,ks,kp,kpnt,k0
real*8 rec(8000),BLH(3),rln(3),rlnk(3),gr,NFD(5),dln(2),GMr,rhd(4),rr,sigmax,sigma0,prst(2)
real*8 para(20),GRS(6),hd(6),GM,ae,pi,RAD,wgh,r0,dpth,nta,br,sta(4)!br-Bjerhammar
real*8 val,unit(5),dlat,dr,tmp,mr,st(4),st0(4),bf(8),blat,sinf,tt,cosa,sina,lmt!第一行平行圈格网中心地心纬度°
integer nlon,nlat,minN,maxN,nk,hrw,obsrw,ob2rw,wghrw,kobs,fknd,krbf
integer ki,kj,nd,mk,ni,nj,mthd,edgn
integer::status=0
real*8,allocatable::mpn(:,:),mdp(:,:),obs(:,:),dl(:),lon(:,:),RBF4(:,:),RBFn(:,:)
real*8,allocatable::BPB(:,:),BPL(:),BB(:),B2(:),xx(:),chs(:),sr(:),rlatlon(:,:),chd(:,:)
real*8,allocatable::mpn4(:,:),mdp4(:,:),hgt(:,:),rst(:,:),rst2(:,:),RBF(:,:)!目标场元
integer,allocatable::nln(:),nrd(:,:),node(:),enode(:),gpnt(:,:)!格网、未知数序号,每个观测量有效节点序号
!---------------------------------------------------------------------
GRS(1)= 3.986004415d14; GRS(2)=6378137.d0; GRS(3)=1.0826359d-3
GRS(4) = 7.292115d-5; GRS(5)=1.d0/298.25641153d0;ae=GRS(2)
GM=GRS(1)*1.d-7;ae=GRS(2)
pi=datan(1.d0)*4.d0;RAD=pi/180.d0;mr=36.d2/RAD
unit(1)=1.d5;unit(2)=1.d0;unit(3)=1.d5;unit(4)=1.d9;unit(5)=mr
minN=nint(para(1));maxN=nint(para(2));order=nint(para(3));krbf=nint(para(4))
lvl=nint(para(5));kobs=nint(para(8));fknd=nint(para(9));mthd=nint(para(13))
obsrw=nint(para(10));ob2rw=nint(para(11));wghrw=nint(para(12))
dr=para(6)*1.d3/ae/RAD!球面角距°
dpth=para(7)*1.d3
kpnt=1
if(minN<order)minN=order
!打开计算面大地高格网文件
open(unit=8,file=surfhgtgrdfl,status="old",iostat=status)
if(status/=0) goto 902
read(8,'(a)') line0
call PickReclong(line0,kln,rec,sn)
if(sn<6)then
close(8);goto 902
endif
hd(1:6)=rec(1:6)
nlat=nint((hd(4)-hd(3))/hd(6))
nlon=nint((hd(2)-hd(1))/hd(5))
hd(5)=(hd(2)-hd(1))/dble(nlon)
hd(6)=(hd(4)-hd(3))/dble(nlat)
allocate(hgt(nlat,nlon), stat=astat(1))
allocate(rst(nlat,nlon), stat=astat(2))
allocate(rst2(nlat,nlon), stat=astat(3))
if (sum(astat(1:3)) /= 0) then
close(8);goto 902
endif
do i=1,nlat
read(8,*,end=905)(hgt(i,j),j=1,nlon)
enddo
905 close(8)
k0=0; k=0
open(unit=8,file=observationfl,status="old",iostat=status)
if(status/=0) goto 901
read(8,'(a)') line !头文件一行
do while(.not.eof(8))
read(8,'(a)') line
call PickRecstr(line,kln,nstr,sn)
if(sn>3)then
k=k+1;znm(k)=nstr(1)
endif
call PickReclong(line,kln,rec,sn)
if(sn>3)then
if(rec(2)<hd(2).and.rec(2)>hd(1).and.rec(3)<hd(4).and.rec(3)>hd(3))k0=k0+1
endif
enddo
close(8);obsn=k!观测数
if(k0<6)goto 901
NF=nint(dr*3600)!影响半径等分,间隔1″,NF+1→[0,dr]
NF4=nint(dr*600)!间隔6″,NF4+1→[0,dr]
allocate(mpn(maxN-minN+1,NF+1), stat=astat(1))
allocate(mdp(maxN-minN+1,NF+1), stat=astat(2))
allocate(mpn4(maxN-minN+1,NF4+1), stat=astat(3))
allocate(mdp4(maxN-minN+1,NF4+1), stat=astat(4))
allocate(obs(4*obsn,6), stat=astat(5))!地心距，地心纬度，经度，权值，观测量1(，观测量2)
if (sum(astat(1:5)) /= 0) goto 901
obs(:,6)=0.d0;r0=0.d0;k=0!重新读取观测文件，转换为观测点球面坐标，计算平均地心距r0
open(unit=8,file=observationfl,status="old",iostat=status)
read(8,'(a)') line
do while(.not.eof(8))
read(8,'(a)') line
call PickReclong(line,kln,rec,sn)
if(sn<obsrw)goto 306
BLH(1)=rec(3);BLH(2)=rec(2);BLH(3)=rec(4);wgh=1.d0
if(wghrw>0.and.wghrw<sn+1)wgh=rec(wghrw);if(wgh<-1.d-5)wgh=1.d0
call BLH_RLAT(GRS,BLH,rln)
k=k+1;r0=r0+rln(1)/ae
obs(k,1:3)=rln(1:3);obs(k,4)=wgh;obs(k,5)=rec(obsrw)
if(ob2rw>4.and.ob2rw<sn.and.kobs==4)then
k=k+1;obs(k,1:3)=rln(1:3);obs(k,4)=wgh;obs(k,5)=rec(ob2rw);obs(k,6)=9.d4
endif
306 continue
enddo
close(8);r0=r0/dble(obsn)*ae!平均地心距
obsn=k
!计算格网节点/未知数个数Kt
!nln(nn)-平行圈方向格网数nn=maxi-mini+1
!sr(nn)平行圈方向格网面积与赤道格网面积之差的百分比
!dl(nn)平行圈方向经度间隔°Kt格网总点数-节点数、未知数
!lon(nn,mm)格网中心经度,mm为平行圈方向最多格网数
dlat=180.d0/lvl;nd=nint(dr/dlat+0.5d0)!dlat格网间隔,积分半径对应的格网数
rhd(1:4)=hd(1:4);BLH(2)=(hd(1)+hd(2))/2.d0;BLH(3)=0.d0!!!!!!!目标格网范围用球坐标表示
BLH(1)=hd(3);call BLH_RLAT(GRS,BLH,rln);rhd(3)=rln(2)
BLH(1)=hd(4);call BLH_RLAT(GRS,BLH,rln);rhd(4)=rln(2)!!!!!!!!!
nn=nint((rhd(4)-rhd(3))/dlat+0.5);mm=nint((rhd(2)-rhd(1))/dlat+0.5)!mm平行圈方向最大格网数
allocate(nln(nn),sr(nn),dl(nn),chs(obsn),nrd(nn,mm),gpnt(nn,mm),lon(nn,mm),rlatlon(2*(nn+mm),2),enode(2*(nn+mm)))
call ReuterGrid(rhd,lvl,Kt,blat,nn,mm,nln,sr,dl,nrd,lon)!Kt节点数/未知数个数
gpnt=0!计算格网中测点数，修正Reuter格网节点数Kt,序号nrd
call Edgnode(enode,rlatlon,lvl,edgn,lon,blat,nln,gpnt,nn,mm)
ks=edgn+obsn;allocate(chd(ks+obsn,3))
chd(1:ks,1)=r0;chd(1:edgn,2:3)=rlatlon(1:edgn,1:2)
chd(edgn+1:edgn+obsn,1:3)=obs(1:obsn,1:3)
call AdjReuterGrd(chd(1:ks,1:3),ks,Kt,blat,lvl,nn,mm,nln,dl,lon,nrd,gpnt)
allocate(BPB(Kt,Kt), stat=astat(1))
if (sum(astat(1:1)) /= 0) goto 903
allocate(RBF(NF+1,5),BPL(Kt),BB(Kt),B2(Kt),xx(Kt),node(Kt),RBF4(NF4+1,4),RBFn(maxN-minN+1,4))
!计算minN~maxN阶NF+1组勒让德函数[minN~maxN]×[0,dr]
call LegPn01(mpn,mdp,minN,maxN,NF,dr)
call LegPn01(mpn4,mdp4,minN,maxN,NF4,dr)
!由初始补偿深度dpth,计算SRFB曲线
br=r0-dpth;nta=br/r0;rlnk(1)=br!初始补偿深度dpth和宽度参数nta
call SRBF5all(RBF,order,krbf,mpn,mdp,minN,maxN,NF,nta)
BPL=0.d0;BPB=0.d0!构造观测方程和法方程
do k=1,obsn!0扰动重力，1高程异常，2空间异常，3扰动重力梯度，4垂线偏差
rln(1:3)=obs(k,1:3);wgh=obs(k,4);val=obs(k,5)/unit(kobs+1);rr=rln(1)
if(kobs==0.or.kobs==2)GMr=GM/rr/rr
if(kobs==3)GMr=GM/rr/rr/rr
if(kobs==1.or.kobs==4)then
call RLAT_BLH(GRS,rln,BLH);call GNormalfd(BLH,NFD,GRS);gr=NFD(2)
if(kobs==1)GMr=GM/rr/gr
if(kobs==4)GMr=GM/rr/rr/gr
endif
call RtGridij(rln,ki,kj,blat,lvl,nn,mm,nln,dl,lon)!计算rln在格网中的序号ki>0,kj>0
mk=0;BB=0.d0;node=0!BB-RBF系数,node(Kt)观测量作用半径范围内有效节点序号
do i=ki-nd,ki+nd!增加实现节点序号与格网行列号对应，即节点序号二维整数数组
if(i<1.or.i>nn)goto 1001!lon(i,j),blat第一行平行圈格网中心地心纬度°
rlnk(2)=blat+(i-1.d0)*dlat
do j=kj-nd,kj+nd
if(j<1.or.j>nln(i)) goto 1002
if(nrd(i,j)<1) goto 1002 !nrd(i,j)未知数序号
rlnk(3)=lon(i,j);call drln(rln,rlnk,dln)!距离m与夹角°
if(dln(2)>dr)goto 1002
call RBFvalue(RBF(:,kobs+1),NF,dr,dln(2),tmp)!由球面角距°dln(2)内插RBF值tmp
mk=mk+1;node(mk)=nrd(i,j)
BB(nrd(i,j))=GMr*tmp*dexp((minN-1.0)*dlog(r0/rr))
if(kobs==4)then
tt=dcos(dln(2)*RAD);sinf=dsqrt(1.d0-tt**2);if(sinf<1.d-12)sinf=1.d-12
if(obs(k,6)<9.d4)then
cosa=(dcos(rln(2)*RAD)*dsin(rlnk(2)*RAD)-dsin(rln(2)*RAD)*dcos(rlnk(2)*RAD)*dcos(rlnk(3)*RAD-rln(3)*RAD))/sinf
BB(nrd(i,j))= BB(nrd(i,j))*cosa
else
sina=dcos(rlnk(2)*RAD)*dsin(rlnk(3)*RAD-rln(3)*RAD)/sinf
BB(nrd(i,j))= BB(nrd(i,j))*sina
endif
endif
1002 continue
enddo
1001 continue
enddo
do i=1,mk
ki=node(i)
BPL(ki)=BPL(ki)+BB(ki)*val*wgh
do j=1,i
kj=node(j)
BPB(ki,kj)=BPB(ki,kj)+BB(ki)*BB(kj)*wgh
enddo
enddo
enddo
call Stat1d(obs(1:obsn,5),obsn,st0)
tmp=0.d0
do i=1,Kt
do j=1,i-1
BPB(j,i)=BPB(i,j)
enddo
tmp=tmp+BPB(i,i)**2/dble(Kt)
enddo
tmp=dsqrt(tmp)
!以Reuter格网四周节点未知数为零组成观测方程，抑制边缘效应。
!节点序号数组enode
do i=1,edgn!edgn-Reuter格网四周节点数
ki=enode(i); BPB(ki,ki)=BPB(ki,ki)+tmp/dsqrt(dble(obsn))
enddo
do i=1,Kt
BPB(i,i)=BPB(i,i)+tmp*1.d-4
enddo
5001 xx=0.d0
!mthd=1 LU分解,2 Cholesky分解,3 最小二乘QR分解,4最小范数奇异值分解,5-岭估计
if(mthd<5)call Equsolve(BPB,xx,Kt,BPL,mthd,bf)
if(mthd==5)call RidgeEstimate(BPB,xx,Kt,BPL)
chs=0.d0!计算残差并统计
do k=1,obsn
rln(1:3)=obs(k,1:3);rr=rln(1)
if(kobs==0.or.kobs==2)GMr=GM/rr/rr
if(kobs==3)GMr=GM/rr/rr/rr
if(kobs==1.or.kobs==4)then
call RLAT_BLH(GRS,rln,BLH);call GNormalfd(BLH,NFD,GRS);gr=NFD(2)
if(kobs==1)GMr=GM/rr/gr
if(kobs==4)GMr=GM/rr/rr/gr
endif
call RtGridij(rln,ki,kj,blat,lvl,nn,mm,nln,dl,lon)!计算rln在格网中的序号ki>0,kj>0
mk=0;BB=0.d0;node=0!s-RBF系数,node(Kt)观测量作用半径范围内有效节点序号
do i=ki-nd,ki+nd!增加实现节点序号与格网行列号对应，即节点序号二维整数数组，0表示!!!!!!!!!!!!!!!!!!
if(i<1.or.i>nn)goto 2001!lon(i,j),blat第一行平行圈格网中心地心纬度°
rlnk(2)=blat+(i-1.d0)*dlat
do j=kj-nd,kj+nd!!!!!!!!!!!!!!!!!!!
if(j<1.or.j>nln(i)) goto 2002
if(nrd(i,j)<1) goto 2002 !nrd(i,j)未知数序号
rlnk(3)=lon(i,j);call drln(rln,rlnk,dln)!距离m与夹角°
if(dln(2)>dr)goto 2002
call RBFvalue(RBF(:,kobs+1),NF,dr,dln(2),tmp)!由球面角距°dln(2)内插RBF值val
mk=mk+1;node(mk)=nrd(i,j)
BB(nrd(i,j))=GMr*tmp*dexp((minN-1.0)*dlog(r0/rr))
if(kobs==4)then
tt=dcos(dln(2)*RAD);sinf=dsqrt(1.d0-tt**2);if(sinf<1.d-12)sinf=1.d-12
if(obs(k,6)<9.d4)then
cosa=(dcos(rln(2)*RAD)*dsin(rlnk(2)*RAD)-dsin(rln(2)*RAD)*dcos(rlnk(2)*RAD)*dcos(rlnk(3)*RAD-rln(3)*RAD))/sinf
BB(nrd(i,j))= BB(nrd(i,j))*cosa
else
sina=dcos(rlnk(2)*RAD)*dsin(rlnk(3)*RAD-rln(3)*RAD)/sinf
BB(nrd(i,j))= BB(nrd(i,j))*sina
endif
endif
2002 continue
enddo
2001 continue
enddo
val=0.d0
do i=1,mk
ki=node(i)
val=val+BB(ki)*xx(ki)
enddo
chs(k)=obs(k,5)-val*unit(kobs+1)
enddo
call Stat1d(chs,obsn,st)
open(unit=10,file="residuals.txt",status="replace")
write(10,'(2F10.4,2F11.4,a,2F10.4,40F11.4)')(st0(i),i=1,4)," residuals:",(st(i),i=1,4)
kp=1;if(kobs==4)kp=2
do i=1,obsn,kp
call RLAT_BLH(GRS,obs(i,1:3),BLH)
if(abs(kobs-4)>0)write(10,'(a8,2F12.6,2F11.3,8F12.4)')trim(znm(i)),BLH(2),BLH(1),BLH(3),obs(i,4),obs(i,5),chs(i)
if(kobs==4)then
write(10,'(a8,2F12.6,2F11.3,8F12.4)')trim(znm(i/2+1)),BLH(2),BLH(1),BLH(3),obs(i,4),
* obs(i,5),obs(i+1,5),chs(i),chs(i+1)
endif
enddo
close(10)
rst=0.d0;rst2=0.d0
do ni=1,nlat
BLH(1)=hd(3)+(real(ni)-0.5d0)*hd(6)
do nj=1,nlon
BLH(2)=hd(1)+(real(nj)-0.5d0)*hd(5);BLH(3)=hgt(ni,nj)
call BLH_RLAT(GRS,BLH,rln);rr=rln(1)
if(fknd==0.or.fknd==2)GMr=GM/rr/rr
if(fknd==3)GMr=GM/rr/rr/rr
if(fknd==1.or.fknd==4)then
call GNormalfd(BLH,NFD,GRS);gr=NFD(2)
if(fknd==1)GMr=GM/rr/gr
if(fknd==4)GMr=GM/rr/rr/gr
endif
call RtGridij(rln,ki,kj,blat,lvl,nn,mm,nln,dl,lon)!计算rln在格网中的序号ki>0,kj>0
mk=0;BB=0.d0;B2=0.d0;node=0!s-RBF系数,node(Kt)观测量作用半径范围内有效节点序号
do i=ki-nd,ki+nd!增加实现节点序号与格网行列号对应，即节点序号二维整数数组，0表示
if(i<1.or.i>nn)goto 3001!lon(i,j),blat第一行平行圈格网中心地心纬度°
rlnk(2)=blat+(i-1.d0)*dlat
do j=kj-nd,kj+nd
if(j<1.or.j>nln(i)) goto 3002
if(nrd(i,j)<1) goto 3002 !nrd(i,j)未知数序号
rlnk(3)=lon(i,j);call drln(rln,rlnk,dln)!距离m与夹角°
if(dln(2)>dr)goto 3002
call RBFvalue(RBF(:,fknd+1),NF,dr,dln(2),tmp)!由球面角距°dln(2)内插RBF值val
mk=mk+1;node(mk)=nrd(i,j)
BB(nrd(i,j))=GMr*tmp*dexp((minN-1.0)*dlog(r0/rr))
if(fknd==4)then
tt=dcos(dln(2)*RAD);sinf=dsqrt(1.d0-tt**2);if(sinf<1.d-12)sinf=1.d-12
cosa=(dcos(rln(2)*RAD)*dsin(rlnk(2)*RAD)-dsin(rln(2)*RAD)*dcos(rlnk(2)*RAD)*dcos(rlnk(3)*RAD-rln(3)*RAD))/sinf
sina=dcos(rlnk(2)*RAD)*dsin(rlnk(3)*RAD-rln(3)*RAD)/sinf
BB(nrd(i,j))= BB(nrd(i,j))*cosa
B2(nrd(i,j))= BB(nrd(i,j))*sina
endif
3002 continue
enddo
3001 continue
enddo
val=0.d0;tmp=0.d0
do i=1,mk
ki=node(i)
val=val+BB(ki)*xx(ki)
if(fknd==4)tmp=tmp+B2(ki)*xx(ki)
enddo
rst(ni,nj)=val*unit(fknd+1)
if(fknd==4)rst2(ni,nj)=tmp*unit(fknd+1)
enddo
enddo
!计算并输出检核点处目标场元估值
open(unit=8,file=checkpointfl,status="old",iostat=status)
if(status/=0)goto 401
open(unit=10,file="checkreslt.txt",status="replace")
read(8,'(a)') line
write(10,'(a)')trim(AdjustL(line))
do while(.not.eof(8))
read(8,'(a)') line
call PickReclong(line,kln,rec,sn)
if(sn<4)goto 406
BLH(1)=rec(3);BLH(2)=rec(2);BLH(3)=rec(4)
call BLH_RLAT(GRS,BLH,rln);rr=rln(1)
if(fknd==0.or.fknd==2)GMr=GM/rr/rr
if(fknd==3)GMr=GM/rr/rr/rr
if(fknd==1.or.fknd==4)then
call GNormalfd(BLH,NFD,GRS);gr=NFD(2)
if(fknd==1)GMr=GM/rr/gr
if(fknd==4)GMr=GM/rr/rr/gr
endif
call RtGridij(rln,ki,kj,blat,lvl,nn,mm,nln,dl,lon)!计算rln在格网中的序号ki>0,kj>0
mk=0;BB=0.d0;B2=0.d0;node=0!s-RBF系数,node(Kt)观测量作用半径范围内有效节点序号
do i=ki-nd,ki+nd!增加实现节点序号与格网行列号对应，即节点序号二维整数数组，0表示
if(i<1.or.i>nn)goto 4001!lon(i,j),blat第一行平行圈格网中心地心纬度°
rlnk(2)=blat+(i-1.d0)*dlat
do j=kj-nd,kj+nd
if(j<1.or.j>nln(i)) goto 4002
if(nrd(i,j)<1) goto 4002 !nrd(i,j)未知数序号
rlnk(3)=lon(i,j);call drln(rln,rlnk,dln)!距离m与夹角°
if(dln(2)>dr)goto 4002
call RBFvalue(RBF(:,fknd+1),NF,dr,dln(2),tmp)!由球面角距°dln(2)内插RBF值val
mk=mk+1;node(mk)=nrd(i,j)
BB(nrd(i,j))=GMr*tmp*dexp((minN-1.0)*dlog(r0/rr))
if(fknd==4)then
tt=dcos(dln(2)*RAD);sinf=dsqrt(1.d0-tt**2);if(sinf<1.d-12)sinf=1.d-12
cosa=(dcos(rln(2)*RAD)*dsin(rlnk(2)*RAD)-dsin(rln(2)*RAD)*dcos(rlnk(2)*RAD)*dcos(rlnk(3)*RAD-rln(3)*RAD))/sinf
sina=dcos(rlnk(2)*RAD)*dsin(rlnk(3)*RAD-rln(3)*RAD)/sinf
BB(nrd(i,j))= BB(nrd(i,j))*cosa
B2(nrd(i,j))= BB(nrd(i,j))*sina
endif
4002 continue
enddo
4001 continue
enddo
val=0.d0;tmp=0.d0
do i=1,mk
ki=node(i)
val=val+BB(ki)*xx(ki)
if(fknd==4)tmp=tmp+B2(ki)*xx(ki)
enddo
prst(1)=val*unit(fknd+1)
if(fknd==4)then
prst(2)=tmp*unit(fknd+1)
write(10,'(a,4F12.4)')trim(line),prst(1),prst(2)
else
write(10,'(a,4F12.4)')trim(line),prst(1)
endif
406 continue
enddo
close(8);close(10)
401 continue
open(unit=10,file="SRBFestimate.dat",status="replace")
write(10,'(a)')line0
do i=1,nlat
write(10,'(15F12.4)')(rst(i,j),j=1,nlon)
enddo
if(fknd==3)then
do i=1,nlat
write(10,'(15F12.4)')(rst2(i,j),j=1,nlon)
enddo
endif
close(10)
call SRBF4one(RBF4,RBFn,order,krbf,mpn4,mdp4,minN,maxN,NF4,nta)
open(unit=10,file="SRBFspc.txt",status="replace")
write(10,'(2I3,2I6,F8.2,a)')krbf,order,minN,maxN,dpth*1.d-3,
* " gravity disturbance, height anomaly, gravity gradient, vertical deflection"
tmp=dr/dble(NF4)*RAD*ae*1.d-3
do i=1,NF4
write(10,'(F12.3,8F13.5)')-(NF4-i+1.0)*tmp,(RBF4(NF4-i+2,j),j=1,4)
enddo
do i=1,NF4+1
write(10,'(F12.3,8F13.5)')(i-1.0)*tmp,(RBF4(i,j),j=1,4)
enddo
close(10)
open(unit=10,file="SRBFdgr.txt",status="replace")
write(10,'(2I3,2I6,F8.2,a)')krbf,order,minN,maxN,dpth*1.d-3,
* " gravity disturbance, height anomaly, gravity gradient, vertical deflection"
do i=minN,maxN
write(10,'(I8,8F13.5)')i,(RBFn(i-minN+1,j),j=1,4)
enddo
close(10)
open(unit=10,file="SRBFcenter.txt",status="replace")
write(10,'(4I6,F8.3)')lvl,Kt,nn,nln(1),dlat*60.d0
rln(1)=rr;k=0
do i=1,nn!增加实现节点序号与格网行列号对应，即节点序号二维整数数组
rln(2)=blat+(i-0.5d0)*dlat
do j=1,nln(i)
if(gpnt(i,j)>0)then
k=k+1;rln(3)=lon(i,j);call RLAT_BLH(GRS,rln,BLH)
write(10,'(I6,2F12.6,2F8.3)')k,BLH(2),BLH(1),sr(i),dl(i)*60.d0
endif
enddo
enddo
close(10)
904 deallocate(BPB)
903 deallocate(nln,sr,dl,nrd,lon,node,enode,RBF,gpnt,RBF4,RBFn,rlatlon)
deallocate(mpn,mdp,mpn4,mdp4,obs,BB,B2,BPL,xx,chs,chd)
901 deallocate(hgt,rst,rst2)
902 continue
101 format(a,40F12.4)
end
!
!******************************************************************
!
subroutine drln(rln1,rln2,dln)
!由两点球坐标计算距离与夹角°
implicit none
real*8::rln1(3),rln2(3),dln(2),XYZ1(3),XYZ2(3),L2
integer::i,j,n,m,k
real*8::onei,Bn,pi,RAD,CnmCalc
!---------------------------------------------------------------
RAD=datan(1.d0)/45.d0
call RLAT_XYZ(rln1,XYZ1)
call RLAT_XYZ(rln2,XYZ2)
L2=(XYZ1(1)-XYZ2(1))**2+(XYZ1(2)-XYZ2(2))**2+(XYZ1(3)-XYZ2(3))**2
dln(1)=dsqrt(L2)
dln(2)=dabs(dacos((rln1(1)**2+rln2(1)**2-L2)/2.d0/rln1(1)/rln2(1)))/RAD
end
!
!******************************************************************************
!
subroutine LegPn01(mpn,mdp,minN,maxN,NF,dr)
!计算minN~maxN阶NF+1组勒让德函数[minN~maxN]×[0,dr]
implicit none
integer::minN,maxN,NF,nn,i,k,n
real*8::dr,t,dt,pi,RAD
real*8::mpn(maxN-minN+1,NF+1),mdp(maxN-minN+1,NF+1)
real*8,allocatable::pn(:),dp1(:)
!---------------------------------------------------------------------------
pi=datan(1.d0)*4.d0;RAD=pi/180.d0
dt=dr/dble(NF)*RAD
allocate(pn(maxN+2),dp1(maxN+2))
do k=1,NF+1
t=dcos(dble(k-1)*dt)
call LegPn_dt1(pn,dp1,maxN+1,t)
do n=minN,maxN
i=n-minN+1
mpn(i,k)=pn(n+1)
mdp(i,k)=dp1(n+1)
enddo
enddo
deallocate(pn,dp1)
end
!
!******************************************************************************
!
subroutine Stat1d(dt,nn,rst)
implicit none
integer::nn,i,kk
real*8::dt(nn),rst(4),pv,std,maxt,mint
!---------------------------------------------------------------------
pv=0.d0;std=0.d0;maxt=-9.d28;mint=9.d28
kk=0
do i=1,nn
if(dt(i)>9900.d0)goto 1001
kk=kk+1;pv=pv+dt(i)
if(maxt<dt(i))maxt=dt(i)
if(mint>dt(i))mint=dt(i)
1001 continue
enddo
pv=pv/dble(kk)
do i=1,nn
if(dt(i)>9900.d0)goto 1002
std=std+(dt(i)-pv)**2
1002 continue
enddo
std=dsqrt(std/dble(kk))
rst(1)=pv;rst(2)=std;rst(3)=mint;rst(4)=maxt
end