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3 michaesp 1
      subroutine copyar(array1,array2,nsize)
2
C     ======================================
3
C
4
C     Copy the array1 on array2.
5
C
6
C     array1	input	array to copy
7
C     array2	output	array to write
8
C     nsize     input   size of arrays
9
 
10
      integer   i,nsize
11
      real      array1(nsize),array2(nsize)
12
 
13
      do i=1,nsize
14
        array2(i)=array1(i)
15
      enddo
16
 
17
      return
18
      end
19
      subroutine clipreg2(plon,plat,varmin,varmax,nx,ny,ak,bk,nz,sp,
20
     >           prelevs,kcl0,kcl1,xcorner,ycorner,pmin,pmax,ind,
21
     >		 nxy,single,onelev,ierr)
22
C     ==============================================================
23
C
24
C     Clip a region to calculate trajectories.
25
C
26
C     plon      input   longitude of computational pole
27
C     plat      input   latitude of computational pole
28
C     varmin    input   array with minimum phys. coord.  of data region
29
C     varmax    input   array with maximum phys. coord.  of data region
30
C     nx        input   number of data points along latitude
31
C     ny        input   number of data points along longitude
32
C     ak        input   array contains ak values to calculate data-levels
33
C     bk        input   array contains bk values to calculate data-levels
34
C     nz        input   number of levels
35
C     sp        input   array contains surface pressure
36
C     prelevs   input   logical var (=.true. if data is on pressure levels)
37
C     kcl0,1    output  lowest,highest index for level of clipped region
38
C     xcorner	output	x-coordinates of corners of clipped region
39
C     ycorner	output	y-coordinates of corners of clipped region
40
C     pmin	output  minimum pressure value of clipped region
41
C     pmax	output	maximum pressure value of clipped region
42
C     ind	output	array with index of grid points within clipped region
43
C     nxy	output	number of points within clipped region
44
C     single	output 	logical flag for single trajectories
45
C     onelev    output  logical flag if clipmin(3)=clipmax(3)
46
C     ierr      output  error flag
47
 
48
      real      pmin,pmax,varmin(4),varmax(4)
49
      real	xcorner(4),ycorner(4),xmax,ymax,xmin,ymin,xx,yy
50
      real      ak(nz),bk(nz)
51
      real      sp(nx,ny)
52
      real      dx,dy
53
      real      plon,plat,xphys,yphys
54
      integer   kcl0,kcl1,i,j,k,l,nx,ny,nz,nxy,ierr
55
      integer	ind(400*100)
56
      logical   prelevs,onelev,single
57
 
58
      real      lmtolms,phtophs
59
 
60
C     Reset error flag
61
 
62
      ierr=0
63
 
64
C     Calculate grid increments
65
 
66
      dx=(varmax(1)-varmin(1))/(nx-1)
67
      dy=(varmax(2)-varmin(2))/(ny-1)
68
 
69
C     Read corners of region to clip from tape 9
70
 
71
      read(9,10)xcorner(1)
72
      read(9,10)ycorner(1)
73
      read(9,10)xcorner(2)
74
      read(9,10)ycorner(2)
75
      read(9,10)xcorner(3)
76
      read(9,10)ycorner(3)
77
      read(9,10)xcorner(4)
78
      read(9,10)ycorner(4)
79
      read(9,10)pmax
80
      read(9,10)pmin
81
 
82
   10 format(f7.3)
83
 
84
C     If necessary transform corners to the computational coordinates
85
 
86
      if ((plon.ne.0.).or.(plat.ne.90.)) then
87
        do i=1,4
88
          xphys=lmtolms(ycorner(i),xcorner(i),plat,plon)
89
          yphys=phtophs(ycorner(i),xcorner(i),plat,plon)
90
          xcorner(i)=xphys
91
          ycorner(i)=yphys
92
        enddo
93
      endif
94
 
95
C     Test if corners are within data domain
96
 
97
      do i=1,4
98
        if (xcorner(i).lt.varmin(1)) goto 980
99
        if (ycorner(i).lt.varmin(2)) goto 980
100
        if (xcorner(i).gt.varmax(1)) goto 980
101
        if (ycorner(i).gt.varmax(2)) goto 980
102
      enddo
103
      if (pmax.gt.varmin(3)) goto 980
104
      if (pmin.lt.varmax(3)) goto 980
105
 
106
C     Set onelev flag
107
 
108
      if (pmin.eq.pmax) then
109
        onelev=.true.
110
      else
111
        onelev=.false.
112
      endif
113
 
114
C     Check for single trajectory
115
 
116
      single=.false.
117
      if ((xcorner(1).eq.xcorner(2)).and.
118
     >    (xcorner(2).eq.xcorner(3)).and.
119
     >    (xcorner(3).eq.xcorner(4)).and.
120
     >    (ycorner(1).eq.ycorner(2)).and.
121
     >    (ycorner(2).eq.ycorner(3)).and.
122
     >    (ycorner(3).eq.ycorner(4))) then
123
        if (pmin.eq.pmax) then
124
          nxy=1
125
          single=.true.
126
          return
127
        else
128
          goto 980
129
        endif
130
      endif
131
 
132
C     Determine which grid points are within clipped region
133
 
134
      xmax=xcorner(1)
135
      xmin=xcorner(1)
136
      ymax=ycorner(1)
137
      ymin=ycorner(1)
138
      do i=2,4
139
        if (xcorner(i).lt.xmin) xmin=xcorner(i)
140
        if (xcorner(i).gt.xmax) xmax=xcorner(i)
141
        if (ycorner(i).lt.ymin) ymin=ycorner(i)
142
        if (ycorner(i).gt.ymax) ymax=ycorner(i)
143
      enddo
144
 
145
      nxy=0
146
 
147
      do i=1,nx
148
        xx=varmin(1)+(i-1)*dx
149
        do j=1,ny
150
          yy=varmin(2)+(j-1)*dy
151
          if (xx.lt.xmin) goto 970
152
          if (xx.gt.xmax) goto 970
153
          if (yy.lt.ymin) goto 970
154
          if (yy.gt.ymax) goto 970
155
          if ((xx-xcorner(1))*(ycorner(2)-ycorner(1))-
156
     >        (yy-ycorner(1))*(xcorner(2)-xcorner(1)).gt.0.) goto 970
157
          if ((xx-xcorner(2))*(ycorner(3)-ycorner(2))-
158
     >        (yy-ycorner(2))*(xcorner(3)-xcorner(2)).gt.0.) goto 970
159
          if ((xx-xcorner(3))*(ycorner(4)-ycorner(3))-
160
     >        (yy-ycorner(3))*(xcorner(4)-xcorner(3)).gt.0.) goto 970
161
          if ((xx-xcorner(4))*(ycorner(1)-ycorner(4))-
162
     >        (yy-ycorner(4))*(xcorner(1)-xcorner(4)).gt.0.) goto 970
163
 
164
          nxy=nxy+1
165
          ind(nxy)=i+(j-1)*nx
166
 970      continue
167
        enddo
168
      enddo
169
 
170
C     Calculate vertical indices for clipped region
171
 
172
      if (.not.onelev) then
173
        if (prelevs) then               ! data on pressure levels
174
          do k=1,nz-1
175
            if ((pmax.le.ak(k)).and.(pmax.ge.ak(k+1))) then
176
              if (ak(k)-pmax.gt.pmax-ak(k+1)) then
177
                kcl0=k+1
178
              else
179
                kcl0=k
180
              endif
181
            endif
182
            if ((pmin.le.ak(k)).and.(pmin.ge.ak(k+1))) then
183
              if (ak(k)-pmin.gt.pmin-ak(k+1)) then
184
                kcl1=k+1
185
              else
186
                kcl1=k
187
              endif
188
            endif
189
          enddo
190
        else                    ! data on model levels
191
          kcl0=1                        ! initialize kcl0 to lowest level
192
          kcl1=nz                       ! initialize kcl1 to highest level
193
          do k=nz-1,1,-1
194
          do l=1,nxy
195
            i=mod(mod(ind(l)-1,nx*ny),nx)+1
196
            j=int(mod(ind(l)-1,nx*ny)/nx)+1
197
            if ((pmax.le.ak(k)+bk(k)*sp(i,j)).and.
198
     >          (pmax.gt.ak(k+1)+bk(k+1)*sp(i,j))) kcl0=k+1
199
          enddo
200
          enddo
201
          do k=1,nz-1
202
          do l=1,nxy
203
            i=mod(mod(ind(l)-1,nx*ny),nx)+1
204
            j=int(mod(ind(l)-1,nx*ny)/nx)+1
205
            if ((pmin.lt.ak(k)+bk(k)*sp(i,j)).and.
206
     >          (pmin.ge.ak(k+1)+bk(k+1)*sp(i,j))) kcl1=k
207
          enddo
208
          enddo
209
        endif
210
      endif
211
 
212
C     Inform about eventually corrected boundary values
213
 
214
      if (.not.onelev) then
215
        if (prelevs) then
216
          write(*,*)pmin,' corrected to --> ',ak(kcl0)
217
          write(*,*)pmax,' corrected to --> ',ak(kcl1)
218
        else
219
          write(*,*)kcl0,' is level index for lower boundary'
220
          write(*,*)kcl1,' is level index for upper boundary'
221
        endif
222
      endif
223
 
224
C     Save eventually corrected boundary values
225
 
226
      if (prelevs.and.(.not.onelev)) then
227
        pmin=ak(kcl0)
228
        pmax=ak(kcl1)
229
      endif
230
 
231
      return
232
 
233
  980 ierr=1
234
      return
235
      end
236
      subroutine getnpoints(plon,plat,varmin,varmax,nx,ny,ak,bk,nz,sp,
237
     >           levtyp,grid,delh,delp,vcflag,xcorner,ycorner,
238
     >           pmin,pmax,nxy,nlev,ierr)
239
C     ================================================================
240
C
241
C     Determine approximate number of points within clipped region.
242
C
243
C     plon      input   longitude of computational pole
244
C     plat      input   latitude of computational pole
245
C     varmin    input   array with minimum phys. coord.  of data region
246
C     varmax    input   array with maximum phys. coord.  of data region
247
C     nx        input   number of data points along latitude
248
C     ny        input   number of data points along longitude
249
C     ak        input   array contains ak values to calculate data-levels
250
C     bk        input   array contains bk values to calculate data-levels
251
C     nz        input   number of levels
252
C     sp        input   array contains surface pressure
253
C     levtyp    input   int (=1 pressure =2 theta =3 model levels)
254
C     delh      input   desired horizontal resol of starting points (deg or km)
255
C     delp      input   desired vertical resol of starting points (hPa)
256
C     xcorner	output	corners of clipped region
257
C     pmin	output	minimum pressure value of clipped region
258
C     pmax	output	maximum pressure value of clipped region
259
C     nxy       output  number of points (horizontally) within clipped region
260
C     nv	output	number of vertical points within clipped region
261
C     ierr      output  error flag
262
 
263
      real      deltay,pi
264
      parameter (deltay=111.2)        ! distance in km between 2 lat circles
265
      parameter (pi=3.1415927)
266
 
267
      real      pmin,pmax,varmin(4),varmax(4),delx,dely,delh,delp
268
      real      xcorner(4),ycorner(4),xmax,ymax,xmin,ymin,x,y
269
      real      ak(nz),bk(nz)
270
      real      sp(nx,ny)
271
      real      dx,dy
272
      real      plon,plat,xphys,yphys
273
      integer   kcl0,kcl1,i,j,k,nx,ny,nz,nxy,nlev,vcflag,ierr
274
      integer	nnx,nny
275
      integer   levtyp
276
      logical	grid
277
 
278
      real      lmtolms,phtophs
279
 
280
C     Reset error flag
281
 
282
      ierr=0
283
 
284
C     Initialize nlev
285
 
286
      nlev=0
287
 
288
C     Calculate grid increments
289
 
290
      dx=(varmax(1)-varmin(1))/(nx-1)
291
      dy=(varmax(2)-varmin(2))/(ny-1)
292
 
293
C     Read vcflag (=1 if pmin/max denote pressure values;
294
C                  =2 if pmin/max denote layers)
295
      read(9,*)vcflag
296
 
297
C     Read corners of region to clip from tape 9
298
 
299
      read(9,10)xcorner(1)
300
      read(9,10)ycorner(1)
301
      read(9,10)xcorner(2)
302
      read(9,10)ycorner(2)
303
      read(9,10)xcorner(3)
304
      read(9,10)ycorner(3)
305
      read(9,10)xcorner(4)
306
      read(9,10)ycorner(4)
307
      read(9,10)pmax
308
      read(9,10)pmin
309
   10 format(f7.3)
310
 
311
      if ((plon.eq.0.).and.(plat.eq.90.)) then
312
        if (xcorner(1).eq.-999.) xcorner(1)=varmin(1)
313
        if (xcorner(2).eq.-999.) xcorner(2)=varmax(1)-dx
314
        if (xcorner(3).eq.-999.) xcorner(3)=varmax(1)-dx
315
        if (xcorner(4).eq.-999.) xcorner(4)=varmin(1)
316
        if (ycorner(1).eq.-999.) ycorner(1)=varmin(2)
317
        if (ycorner(2).eq.-999.) ycorner(2)=varmin(2)
318
        if (ycorner(3).eq.-999.) ycorner(3)=varmax(2)-dy
319
        if (ycorner(4).eq.-999.) ycorner(4)=varmax(2)-dy
320
      endif
321
 
322
C     Special treatment for rotated coordinate systems (transform corners to
323
C     rotated grid)
324
 
325
      if ((plon.ne.0.).or.(abs(plat-90.).gt.1.e-3)) then
326
        if (.not.grid) goto 975
327
        do i=1,4
328
          if ((xcorner(i).eq.-999.).and.(ycorner(i).eq.-999.)) then
329
            if (i.eq.1) then
330
              xcorner(i)=varmin(1)
331
              ycorner(i)=varmin(2)
332
            else if (i.eq.2) then
333
              xcorner(i)=varmax(1)-dx
334
              ycorner(i)=varmin(2)
335
            else if (i.eq.3) then
336
              xcorner(i)=varmax(1)-dx
337
              ycorner(i)=varmax(2)-dy
338
            else if (i.eq.4) then
339
              xcorner(i)=varmin(1)
340
              ycorner(i)=varmax(2)-dy
341
            endif
342
          else if ((xcorner(i).eq.-999.).or.(ycorner(i).eq.-999.)) then
343
            goto 985
344
          else
345
            xphys=lmtolms(ycorner(i),xcorner(i),plat,plon)
346
            yphys=phtophs(ycorner(i),xcorner(i),plat,plon)
347
            xcorner(i)=xphys
348
            ycorner(i)=yphys
349
          endif
350
        enddo
351
      endif
352
 
353
C     Test if corners are within data domain
354
 
355
      do i=1,4
356
*       if (xcorner(i).lt.varmin(1)) goto 980
357
*       if (ycorner(i).lt.varmin(2)) goto 980
358
*       if (xcorner(i).gt.varmax(1)) goto 980
359
*       if (ycorner(i).gt.varmax(2)) goto 980
360
        if (xcorner(i)+1.e-4.lt.varmin(1)) then
361
          print*,'1 ',xcorner(i),varmin(1)
362
          goto 980
363
        endif
364
        if (ycorner(i)+1.e-4.lt.varmin(2)) then
365
          print*,'2 ',xcorner(i),varmin(2)
366
          goto 980
367
        endif
368
        if (xcorner(i)-1.e-4.gt.varmax(1)) then
369
          print*,'3 ',xcorner(i),varmax(1)
370
          goto 980
371
        endif
372
        if (ycorner(i)-1.e-4.gt.varmax(2)) then
373
          print*,'4 ',xcorner(i),varmax(2)
374
          goto 980
375
        endif
376
      enddo
377
 
378
      if (vcflag.eq.1) then
379
        if (levtyp.eq.2) then
380
          if (pmax.lt.varmin(3)) goto 980
381
          if (pmin.gt.varmax(3)) goto 980
382
        else
383
          if (pmax.gt.varmin(3)) goto 980
384
          if (pmin.lt.varmax(3)) goto 980
385
        endif
386
      endif
387
 
388
C     Control output of clipped region
389
 
390
      write(*,*)'corners of the clipped region:'
391
      write(*,*)'        ',xcorner(1),ycorner(1)
392
      write(*,*)'        ',xcorner(2),ycorner(2)
393
      write(*,*)'        ',xcorner(3),ycorner(3)
394
      write(*,*)'        ',xcorner(4),ycorner(4)
395
 
396
C     Set nlev=1 if regions contains only one level
397
 
398
      if (pmin.eq.pmax) nlev=1
399
 
400
C     Check for single trajectory
401
 
402
      if ((xcorner(1).eq.xcorner(2)).and.
403
     >    (xcorner(2).eq.xcorner(3)).and.
404
     >    (xcorner(3).eq.xcorner(4)).and.
405
     >    (ycorner(1).eq.ycorner(2)).and.
406
     >    (ycorner(2).eq.ycorner(3)).and.
407
     >    (ycorner(3).eq.ycorner(4))) then
408
        if (nlev.eq.1) then
409
          nxy=1
410
          return
411
        else
412
          goto 980
413
        endif
414
      endif
415
 
416
C     Determine number of grid points within clipped region (horizontally)
417
 
418
      xmax=xcorner(1)
419
      xmin=xcorner(1)
420
      ymax=ycorner(1)
421
      ymin=ycorner(1)
422
      do i=2,4
423
        if (xcorner(i).lt.xmin) xmin=xcorner(i)
424
        if (xcorner(i).gt.xmax) xmax=xcorner(i)
425
        if (ycorner(i).lt.ymin) ymin=ycorner(i)
426
        if (ycorner(i).gt.ymax) ymax=ycorner(i)
427
      enddo
428
 
429
      nxy=0
430
 
431
      if (grid) then
432
        do i=1,nx
433
          x=varmin(1)+(i-1)*dx
434
          do j=1,ny
435
            y=varmin(2)+(j-1)*dy
436
            if (x.lt.xmin) goto 970
437
            if (x.gt.xmax) goto 970
438
            if (y.lt.ymin) goto 970
439
            if (y.gt.ymax) goto 970
440
            if ((x-xcorner(1))*(ycorner(2)-ycorner(1))-
441
     >          (y-ycorner(1))*(xcorner(2)-xcorner(1)).gt.0.) goto 970
442
            if ((x-xcorner(2))*(ycorner(3)-ycorner(2))-
443
     >          (y-ycorner(2))*(xcorner(3)-xcorner(2)).gt.0.) goto 970
444
            if ((x-xcorner(3))*(ycorner(4)-ycorner(3))-
445
     >          (y-ycorner(3))*(xcorner(4)-xcorner(3)).gt.0.) goto 970
446
            if ((x-xcorner(4))*(ycorner(1)-ycorner(4))-
447
     >          (y-ycorner(4))*(xcorner(1)-xcorner(4)).gt.0.) goto 970
448
 
449
            nxy=nxy+1
450
 970        continue
451
          enddo
452
        enddo
453
      else
454
        nny=nint((ymax-ymin)*deltay/delh)+1
455
        dely=(ymax-ymin)/real(nny-1)
456
        print*,ymax,ymin,delh,nny
457
        write(*,*)'value of dely set to ',dely,' (in deg)'
458
        do j=1,nny
459
          y=ymin+(j-1)*dely
460
          nnx=nint((xmax-xmin)*cos(y*pi/180.)*deltay/delh)
461
          if (nnx.gt.0) then
462
            delx=(xmax-xmin)/real(nnx)
463
          else
464
            delx=360.
465
            nnx=1
466
          endif
467
          write(*,*)'val of delx at lat ',y,' set to ',delx,' (in deg)'
468
          do i=1,nnx
469
            x=xmin+(i-1)*delx
470
            if ((x-xcorner(1))*(ycorner(2)-ycorner(1))-
471
     >          (y-ycorner(1))*(xcorner(2)-xcorner(1)).gt.0.01) goto 971
472
            if ((x-xcorner(2))*(ycorner(3)-ycorner(2))-
473
     >          (y-ycorner(2))*(xcorner(3)-xcorner(2)).gt.0.01) goto 971
474
            if ((x-xcorner(3))*(ycorner(4)-ycorner(3))-
475
     >          (y-ycorner(3))*(xcorner(4)-xcorner(3)).gt.0.01) goto 971
476
            if ((x-xcorner(4))*(ycorner(1)-ycorner(4))-
477
     >          (y-ycorner(4))*(xcorner(1)-xcorner(4)).gt.0.01) goto 971
478
 
479
            nxy=nxy+1
480
 971        continue
481
          enddo
482
        enddo
483
      endif
484
 
485
      write(*,*)'num of pts in the clipped region (horizontally): ',nxy
486
 
487
      if (.not.grid) then
488
        nlev=nint((pmax-pmin)/delp)+1
489
        write(*,*)'number of levels in the data domain: ',nlev
490
        return
491
      endif
492
 
493
C     Calculate vertical indices for whole data domain
494
 
495
      if (vcflag.eq.1) then
496
        if (nlev.ne.1) then
497
          if (levtyp.eq.1) then               ! data on pressure levels
498
            do k=1,nz-1
499
              if ((pmax.le.ak(k)).and.(pmax.ge.ak(k+1))) then
500
                if (ak(k)-pmax.gt.pmax-ak(k+1)) then
501
                  kcl0=k+1
502
                else
503
                  kcl0=k
504
                endif
505
              endif
506
              if ((pmin.le.ak(k)).and.(pmin.ge.ak(k+1))) then
507
                if (ak(k)-pmin.gt.pmin-ak(k+1)) then
508
                  kcl1=k+1
509
                else
510
                  kcl1=k
511
                endif
512
              endif
513
            enddo
514
          else if (levtyp.eq.2) then    ! data on theta levels
515
            do k=1,nz-1
516
              if ((pmax.ge.ak(k)).and.(pmax.le.ak(k+1))) then
517
                if (pmax-ak(k).gt.ak(k+1)-pmax) then
518
                  kcl0=k+1
519
                else
520
                  kcl0=k
521
                endif
522
              endif
523
              if ((pmin.ge.ak(k)).and.(pmin.le.ak(k+1))) then
524
                if (pmin-ak(k).gt.ak(k+1)-pmin) then
525
                  kcl1=k+1
526
                else
527
                  kcl1=k
528
                endif
529
              endif
530
            enddo
531
          else                    ! data on model levels
532
            kcl0=1                        ! initialize kcl0 to lowest level
533
            kcl1=nz                       ! initialize kcl1 to highest level
534
            do k=nz-1,1,-1
535
              do i=1,nx
536
              do j=1,ny
537
                if ((pmax.le.ak(k)+bk(k)*sp(i,j)).and.
538
     >              (pmax.gt.ak(k+1)+bk(k+1)*sp(i,j))) then
539
                  kcl0=k+1
540
                  goto 950
541
                endif
542
              enddo
543
              enddo
544
 950          continue
545
            enddo
546
            if (kcl0.eq.2) then
547
              do i=1,nx
548
              do j=1,ny
549
                if (pmax.ge.ak(1)+bk(1)*sp(i,j)) then
550
                  kcl0=1
551
                  goto 952
552
                endif
553
              enddo
554
              enddo
555
            endif
556
 952        continue
557
            do k=1,nz-1
558
              do i=1,nx
559
              do j=1,ny
560
                if ((pmin.lt.ak(k)+bk(k)*sp(i,j)).and.
561
     >              (pmin.ge.ak(k+1)+bk(k+1)*sp(i,j))) then
562
                  kcl1=k
563
                  goto 951
564
                endif
565
              enddo
566
              enddo
567
 951          continue
568
            enddo
569
          endif
570
          nlev=kcl1-kcl0+1
571
          write(*,*)'number of levels in the data domain: ',nlev
572
          write(*,*)'from indices',kcl0,' to ',kcl1
573
        endif
574
      else if (vcflag.eq.2) then
575
        kcl0=nint(pmin)
576
        kcl1=nint(pmax)
577
        nlev=kcl1-kcl0+1
578
        write(*,*)'number of levels in the data domain: ',nlev
579
        write(*,*)'from indices',kcl0,' to ',kcl1
580
      endif
581
 
582
      return
583
 
584
  975 ierr=3
585
      return
586
  980 ierr=1
587
      return
588
  985 ierr=2
589
      return
590
      end
591
      subroutine clipreg(plon,plat,varmin,varmax,nx,ny,ak,bk,nz,sp,
592
     >           levtyp,grid,delh,delp,vcflag,xcorner,ycorner,
593
     >           pmin,pmax,xx,yy,pp,ntra,ierr)
594
C     =============================================================
595
C
596
C     Clip a region to calculate trajectories.
597
C
598
C     plon      input   longitude of computational pole
599
C     plat      input   latitude of computational pole
600
C     varmin    input   array with minimum phys. coord.  of data region
601
C     varmax    input   array with maximum phys. coord.  of data region
602
C     nx        input   number of data points along latitude
603
C     ny        input   number of data points along longitude
604
C     ak        input   array contains ak values to calculate data-levels
605
C     bk        input   array contains bk values to calculate data-levels
606
C     nz        input   number of levels
607
C     sp        input   array contains surface pressure
608
C     levtyp    input   int (=1 pressure =2 theta =3 model levels)
609
C     delh	input	desired horizontal resol of starting points (km)
610
C     delp	input	desired vertical resol of starting points (hPa)
611
C     xx	output	starting coordinate of trajectories (longitude)
612
C     yy	output	starting coordinate of trajectories (latitude)
613
C     pp	output	starting coordinate of trajectories (pressure)
614
C     ntra	in/output number of grid points within clipped region
615
C     ierr      output  error flag
616
 
617
      real      deltay,pi
618
      parameter (deltay=111.2)        ! distance in km between 2 lat circles
619
      parameter (pi=3.1415927)
620
 
621
      real,allocatable, dimension (:) :: xval,yval,spval
622
 
623
      real	xx(*),yy(*),pp(*)
624
      real      pmin,pmax,pval,varmin(4),varmax(4),delh,delx,dely,delp
625
      real      xcorner(4),ycorner(4),xmax,ymax,xmin,ymin,x,y
626
      real      ak(nz),bk(nz)
627
      real      sp(nx,ny)
628
      real      dx,dy
629
      real      plon,plat,xphys,yphys
630
      integer   kcl0,kcl1,i,j,k,l,nx,ny,nz,nxy,nlev,ntra,vcflag,ierr
631
      integer   ii,jj
632
      integer	levtyp,stat
633
      logical	grid
634
 
635
      real      lmtolms,phtophs,int2d
636
 
637
C     Allocate memory for dynamical arrays
638
 
639
      allocate(xval(ntra),stat=stat)
640
      if (stat.ne.0) print*,'*** error allocating array xval ***'
641
      allocate(yval(ntra),stat=stat)
642
      if (stat.ne.0) print*,'*** error allocating array yval ***'
643
      allocate(spval(ntra),stat=stat)
644
      if (stat.ne.0) print*,'*** error allocating array spval ***'
645
 
646
C     Reset error flag
647
 
648
      ierr=0
649
 
650
C     Calculate grid increments
651
 
652
      dx=(varmax(1)-varmin(1))/(nx-1)
653
      dy=(varmax(2)-varmin(2))/(ny-1)
654
 
655
      write(*,*)'corners of the clipped region in SR clipreg:'
656
      write(*,*)'        ',xcorner(1),ycorner(1)
657
      write(*,*)'        ',xcorner(2),ycorner(2)
658
      write(*,*)'        ',xcorner(3),ycorner(3)
659
      write(*,*)'        ',xcorner(4),ycorner(4)
660
 
661
C     Set nlev=1 if regions contains only one level 
662
 
663
      if (pmin.eq.pmax) nlev=1
664
 
665
C     Check for single trajectory
666
 
667
      if ((xcorner(1).eq.xcorner(2)).and.
668
     >    (xcorner(2).eq.xcorner(3)).and.
669
     >    (xcorner(3).eq.xcorner(4)).and.
670
     >    (ycorner(1).eq.ycorner(2)).and.
671
     >    (ycorner(2).eq.ycorner(3)).and.
672
     >    (ycorner(3).eq.ycorner(4))) then
673
        if (nlev.eq.1) then
674
          ntra=1
675
          xx(1)=xcorner(1)
676
          yy(1)=ycorner(1)
677
          if (vcflag.eq.1) then
678
            pp(1)=pmin
679
          else if (vcflag.eq.2) then
680
            ii=nint((xx(1)-varmin(1))/dx)+1
681
            jj=nint((yy(1)-varmin(2))/dy)+1
682
            pp(1)=ak(nint(pmin))+bk(nint(pmin))*sp(ii,jj)
683
          endif
684
          return
685
        else
686
          goto 980
687
        endif
688
      endif
689
 
690
C     Determine which grid points are within clipped region (horizontally)
691
 
692
      xmax=xcorner(1)
693
      xmin=xcorner(1)
694
      ymax=ycorner(1)
695
      ymin=ycorner(1)
696
      do i=2,4
697
        if (xcorner(i).lt.xmin) xmin=xcorner(i)
698
        if (xcorner(i).gt.xmax) xmax=xcorner(i)
699
        if (ycorner(i).lt.ymin) ymin=ycorner(i)
700
        if (ycorner(i).gt.ymax) ymax=ycorner(i)
701
      enddo
702
 
703
C     Cut the last grid points of the data domain
704
C     (this prevents problems in subroutine trace: calls to getsdat)
705
 
706
*     if (xmax.gt.varmax(1)-dx) xmax=varmax(1)-dx
707
*     if (ymax.gt.varmax(2)-dy) ymax=varmax(2)-dy
708
 
709
      nxy=0
710
 
711
      if (grid) then
712
        do i=1,nx
713
          x=varmin(1)+(i-1)*dx
714
          do j=1,ny
715
            y=varmin(2)+(j-1)*dy
716
*           print*,x,y,xmin,xmax,ymin,ymax,
717
*    >             xcorner(1),ycorner(1),xcorner(2),ycorner(2),
718
*    >             xcorner(3),ycorner(3),xcorner(4),ycorner(4)
719
            if (x.lt.xmin) goto 970
720
            if (x.gt.xmax) goto 970
721
            if (y.lt.ymin) goto 970
722
            if (y.gt.ymax) goto 970
723
            if ((x-xcorner(1))*(ycorner(2)-ycorner(1))-
724
     >          (y-ycorner(1))*(xcorner(2)-xcorner(1)).gt.0.) goto 970
725
            if ((x-xcorner(2))*(ycorner(3)-ycorner(2))-
726
     >          (y-ycorner(2))*(xcorner(3)-xcorner(2)).gt.0.) goto 970
727
            if ((x-xcorner(3))*(ycorner(4)-ycorner(3))-
728
     >          (y-ycorner(3))*(xcorner(4)-xcorner(3)).gt.0.) goto 970
729
            if ((x-xcorner(4))*(ycorner(1)-ycorner(4))-
730
     >          (y-ycorner(4))*(xcorner(1)-xcorner(4)).gt.0.) goto 970
731
 
732
            nxy=nxy+1
733
*           print*,i,j,nxy
734
            xval(nxy)=x
735
            yval(nxy)=y
736
            spval(nxy)=sp(i,j)
737
 970        continue
738
          enddo
739
        enddo
740
      else
741
        nny=nint((ymax-ymin)*deltay/delh)+1
742
        dely=(ymax-ymin)/real(nny-1)
743
        print*,ymax,ymin,delh,nny
744
        write(*,*)'value of dely set to ',dely,' (in deg)'
745
        do j=1,nny
746
          y=ymin+(j-1)*dely
747
          nnx=nint((xmax-xmin)*cos(y*pi/180.)*deltay/delh)
748
          if (nnx.gt.0) then
749
            delx=(xmax-xmin)/real(nnx)
750
          else
751
            delx=360.
752
            nnx=1
753
          endif
754
          write(*,*)'val of delx at lat ',y,' set to ',delx,' (in deg)'
755
          do i=1,nnx
756
            x=xmin+(i-1)*delx
757
            if ((x-xcorner(1))*(ycorner(2)-ycorner(1))-
758
     >          (y-ycorner(1))*(xcorner(2)-xcorner(1)).gt.0.01) goto 971
759
            if ((x-xcorner(2))*(ycorner(3)-ycorner(2))-
760
     >          (y-ycorner(2))*(xcorner(3)-xcorner(2)).gt.0.01) goto 971
761
            if ((x-xcorner(3))*(ycorner(4)-ycorner(3))-
762
     >          (y-ycorner(3))*(xcorner(4)-xcorner(3)).gt.0.01) goto 971
763
            if ((x-xcorner(4))*(ycorner(1)-ycorner(4))-
764
     >          (y-ycorner(4))*(xcorner(1)-xcorner(4)).gt.0.01) goto 971
765
 
766
            nxy=nxy+1
767
*           print*,i,j,nxy
768
            xval(nxy)=x
769
            yval(nxy)=y
770
*           write(*,'(i8,2f9.2)')nxy,xval(nxy),yval(nxy)
771
            ri=(x-varmin(1))/dx+1.
772
            rj=(y-varmin(2))/dy+1.
773
            spval(nxy)=int2d(sp,nx,ny,ri,rj)
774
 971        continue
775
          enddo
776
        enddo
777
      endif
778
      write(*,*)'num of pts in the clipped region (horizontally): ',nxy
779
 
780
      if (.not.grid) then
781
        nlev=nint((pmax-pmin)/delp)+1
782
        delp=(pmax-pmin)/real(nlev-1)
783
        write(*,*)'number of levels in the data domain: ',nlev
784
        goto 960
785
      endif
786
 
787
C     Calculate vertical indices for clipped region
788
 
789
      if (vcflag.eq.1) then
790
        if (nlev.ne.1) then
791
          if (levtyp.eq.1) then               ! data on pressure levels
792
            do k=1,nz-1
793
              if ((pmax.le.ak(k)).and.(pmax.ge.ak(k+1))) then
794
                if (ak(k)-pmax.gt.pmax-ak(k+1)) then
795
                  kcl0=k+1
796
                else
797
                  kcl0=k
798
                endif
799
              endif
800
              if ((pmin.le.ak(k)).and.(pmin.ge.ak(k+1))) then
801
                if (ak(k)-pmin.gt.pmin-ak(k+1)) then
802
                  kcl1=k+1
803
                else
804
                  kcl1=k
805
                endif
806
              endif
807
            enddo
808
          else if (levtyp.eq.2) then	! data on theta levels
809
            do k=1,nz-1
810
              if ((pmax.ge.ak(k)).and.(pmax.le.ak(k+1))) then
811
                if (pmax-ak(k).gt.ak(k+1)-pmax) then
812
                  kcl0=k+1
813
                else
814
                  kcl0=k
815
                endif
816
              endif
817
              if ((pmin.ge.ak(k)).and.(pmin.le.ak(k+1))) then
818
                if (pmin-ak(k).gt.ak(k+1)-pmin) then
819
                  kcl1=k+1
820
                else
821
                  kcl1=k
822
                endif
823
              endif
824
            enddo
825
          else                    ! data on model levels
826
            kcl0=1                        ! initialize kcl0 to lowest level
827
            kcl1=nz                       ! initialize kcl1 to highest level
828
            do k=nz-1,1,-1
829
              do l=1,nxy
830
                if ((pmax.le.ak(k)+bk(k)*spval(l)).and.
831
     >              (pmax.gt.ak(k+1)+bk(k+1)*spval(l))) then
832
                  kcl0=k+1
833
                  goto 950
834
                endif
835
              enddo
836
 950          continue
837
            enddo
838
            if (kcl0.eq.2) then
839
              do l=1,nxy
840
                if (pmax.ge.ak(1)+bk(1)*spval(l)) then
841
                  kcl0=1
842
                  goto 952
843
                endif
844
              enddo
845
            endif
846
 952        continue
847
            do k=1,nz-1
848
              do l=1,nxy
849
                if ((pmin.lt.ak(k)+bk(k)*spval(l)).and.
850
     >              (pmin.ge.ak(k+1)+bk(k+1)*spval(l))) then
851
                  kcl1=k
852
                  goto 951
853
                endif
854
              enddo
855
 951          continue
856
            enddo
857
          endif
858
          nlev=kcl1-kcl0+1
859
          write(*,*)'number of levels in the clipped region: ',nlev
860
          write(*,*)'from indices ',kcl0,' to ',kcl1
861
        endif
862
      else if (vcflag.eq.2) then
863
        kcl0=nint(pmin)
864
        kcl1=nint(pmax)
865
        nlev=kcl1-kcl0+1
866
        write(*,*)'number of levels in the clipped region: ',nlev
867
        write(*,*)'from indices ',kcl0,' to ',kcl1
868
      endif
869
 
870
 960  continue
871
 
872
C     Serach grid points within clipped region
873
 
874
      ntra=0
875
 
876
      do k=1,nlev
877
      do l=1,nxy
878
        if (nlev.eq.1) then
879
          pval=pmin
880
        else
881
          if (grid) then
882
            pval=ak(k+kcl0-1)+bk(k+kcl0-1)*spval(l)
883
          else
884
            pval=pmin+(k-1)*delp
885
          endif
886
        endif
887
 
888
        if (vcflag.eq.1) then
889
          if ((levtyp.eq.1).and.(pval.le.spval(l))) then
890
            ntra=ntra+1
891
            xx(ntra)=xval(l)
892
            yy(ntra)=yval(l)
893
            pp(ntra)=pval
894
          else if (levtyp.eq.2) then
895
            ntra=ntra+1
896
            xx(ntra)=xval(l)
897
            yy(ntra)=yval(l)
898
            pp(ntra)=pval
899
          else if (levtyp.eq.3) then
900
            if (grid) then
901
              if ((pval.ge.pmin).and.(pval.le.pmax)) then
902
                ntra=ntra+1
903
                xx(ntra)=xval(l)
904
                yy(ntra)=yval(l)
905
                pp(ntra)=pval
906
              endif
907
            else
908
              if (pval.le.spval(l)) then
909
                ntra=ntra+1
910
                xx(ntra)=xval(l)
911
                yy(ntra)=yval(l)
912
                pp(ntra)=pval
913
              endif
914
            endif
915
          endif
916
        else if (vcflag.eq.2) then
917
          if ((levtyp.eq.1).and.(pval.le.spval(l))) then
918
            ntra=ntra+1
919
            xx(ntra)=xval(l)
920
            yy(ntra)=yval(l)
921
            pp(ntra)=pval
922
          else
923
            ntra=ntra+1
924
            xx(ntra)=xval(l)
925
            yy(ntra)=yval(l)
926
            pp(ntra)=pval
927
          endif
928
        endif
929
      enddo
930
      enddo
931
 
932
      write(*,*)'number of grid points in clipped region: ',ntra
933
 
934
C     Inform about eventually corrected boundary values
935
 
936
      if ((levtyp.eq.1).and.(nlev.gt.1)) then
937
        write(*,*)pmin,' corrected from ',pmin,' to --> ',ak(kcl0)
938
        write(*,*)pmax,' corrected from ',pmax,' to --> ',ak(kcl1)
939
        pmin=ak(kcl0)
940
        pmax=ak(kcl1)
941
      endif
942
 
943
      return
944
 
945
  980 ierr=1
946
      return
947
      end
948
      subroutine timediff(date1,date2,diff)
949
C     =====================================
950
 
951
C     New version with hour and minutes! (for hour and step [in hours]
952
C     use the routine oldtimediff!)
953
C
954
C     Calculates the time difference in hours (and minutes) for the two
955
C     dates specified by the two arrays date1 and date2.
956
C     They are expected to contain the following date information:
957
C     year      month   day     hour    minute.
958
C
959
C     date1     array specifying the first date
960
C     date2     array specifying the second date
961
C     diff      time differenc between date1 and date2 in hours
962
C
963
 
964
      integer   date1(5),date2(5)
965
      integer   idays(12)       ! array containing the days of the monthes
966
      real      diff
967
      integer   ixday,imdiff,ihdiff,iddiff,j
968
      integer   yy,yy1,yy2
969
 
970
      idays(1)=31
971
      idays(2)=28
972
      idays(3)=31
973
      idays(4)=30
974
      idays(5)=31
975
      idays(6)=30
976
      idays(7)=31
977
      idays(8)=31
978
      idays(9)=30
979
      idays(10)=31
980
      idays(11)=30
981
      idays(12)=31
982
 
983
C     Check format of year (YYYY or YY - in case of YY assume 19YY)
984
 
985
      if (date1(1).lt.100) date1(1)=1900+date1(1)
986
      if (date2(1).lt.100) date2(1)=1900+date2(1)
987
 
988
C     Determine if the period between date1 and date2 contains a Feb.29
989
 
990
      ixday=0   ! extra day flag
991
 
992
      yy1=min(date1(1),date2(1))
993
      yy2=max(date1(1),date2(1))
994
      if (yy1.eq.yy2) then
995
        if (mod(yy1,4).eq.0) then
996
          idays(2)=29
997
        endif
998
      else
999
        if (mod(yy1,4).eq.0) then
1000
          if (((yy1.eq.date1(1)).and.(date1(2).le.2)).or.
1001
     >        ((yy1.eq.date2(1)).and.(date2(2).le.2))) then
1002
            ixday=ixday+1
1003
          endif
1004
        endif
1005
        if (mod(yy2,4).eq.0) then
1006
          if (((yy2.eq.date1(1)).and.(date1(2).gt.2)).or.
1007
     >        ((yy2.eq.date2(1)).and.(date2(2).gt.2))) then
1008
            ixday=ixday+1
1009
          endif
1010
        endif
1011
        if (yy2-yy1.gt.1) then
1012
          do yy=yy1+1,yy2-1
1013
            if (mod(yy,4).eq.0) then
1014
              ixday=ixday+1
1015
            endif
1016
          enddo
1017
        endif
1018
      endif
1019
 
1020
      ihdiff=0  ! diff. in hours between date1/date2
1021
      iddiff=0  ! diff. in days  between date1/date2
1022
 
1023
      if (date1(1).gt.date2(1)) then            ! compare years
1024
        do j=date2(1),date1(1)-1
1025
          iddiff=iddiff+365
1026
        enddo
1027
        iddiff=iddiff+ixday
1028
      else if (date1(1).lt.date2(1)) then
1029
        do j=date1(1),date2(1)-1
1030
          iddiff=iddiff-365
1031
        enddo
1032
        iddiff=iddiff-ixday
1033
      endif
1034
 
1035
      if (date1(2).gt.date2(2)) then            ! compare monthes
1036
        do j=date2(2),date1(2)-1
1037
          iddiff=iddiff+idays(j)
1038
        enddo
1039
      else if (date1(2).lt.date2(2)) then
1040
        do j=date1(2),date2(2)-1
1041
          iddiff=iddiff-idays(j)
1042
        enddo
1043
      endif
1044
 
1045
      iddiff=iddiff+date1(3)-date2(3)
1046
      ihdiff=iddiff*24+date1(4)-date2(4)
1047
      imdiff=ihdiff*60+date1(5)-date2(5)
1048
 
1049
      ihdiff=imdiff/60
1050
      imdiff=mod(imdiff,60)
1051
 
1052
      diff=real(ihdiff)+real(imdiff)/60.
1053
 
1054
      return
1055
      end
1056
      subroutine oldtimediff(date1,date2,diff)
1057
C     ========================================
1058
 
1059
C     Calculates the time difference in hours for the two dates specified
1060
C     by the two arrays date1 and date2. They are expected to contain the
1061
C     following date information:
1062
C     year      month   day     time    step.
1063
C
1064
C     date1     array specifying the first date
1065
C     date2     array specifying the second date
1066
C     diff      time differenc between date1 and date2 in hours
1067
C
1068
C     Warning:  ihdiff is equal to 0 for date1/2 = 880203_12_00 and
1069
C               880202_12_24 !!!
1070
 
1071
      integer   date1(5),date2(5)
1072
      integer   idays(12)       ! array containing the days of the monthes
1073
      real      diff
1074
      integer   ixday,ihdiff,iddiff,j
1075
 
1076
      data idays/31,28,31,30,31,30,31,31,30,31,30,31/
1077
 
1078
C     Determine if the period between date1 and date2 contains a Feb.29
1079
 
1080
      ixday=0   ! extra day flag
1081
 
1082
      if (((mod(date1(1),4).eq.0).and.(date1(1).ne.0)).or.
1083
     >    ((mod(date2(1),4).eq.0).and.(date2(1).ne.0))) then
1084
        if (((date1(2).le.2).and.(date2(2).gt.2)).or.
1085
     >      ((date1(2).gt.2).and.(date2(2).le.2))) then
1086
          ixday=1       ! set extra day flag to 1
1087
          idays(2)=29   ! february has 29 days
1088
        endif
1089
      endif
1090
 
1091
      ihdiff=0  ! diff. in hours between date1/date2
1092
      iddiff=0  ! diff. in days  between date1/date2
1093
 
1094
      if (date1(1).gt.date2(1)) then            ! compare years
1095
        do j=date2(1),date1(1)-1
1096
          iddiff=iddiff+365+ixday
1097
        enddo
1098
      else if (date1(1).lt.date2(1)) then
1099
        do j=date1(1),date2(1)-1
1100
          iddiff=iddiff-365-ixday
1101
        enddo
1102
      endif
1103
 
1104
      if (date1(2).gt.date2(2)) then            ! compare monthes
1105
        do j=date2(2),date1(2)-1
1106
          iddiff=iddiff+idays(j)
1107
        enddo
1108
      else if (date1(2).lt.date2(2)) then
1109
        do j=date1(2),date2(2)-1
1110
          iddiff=iddiff-idays(j)
1111
        enddo
1112
      endif
1113
 
1114
      iddiff=iddiff+date1(3)-date2(3)
1115
      ihdiff=iddiff*24+date1(4)-date2(4)+date1(5)-date2(5)
1116
 
1117
      diff=real(ihdiff)
1118
 
1119
      return
1120
      end
1121
      subroutine newdate(date1,diff,date2)
1122
C     ====================================
1123
C
1124
C     Routine calculates the new date when diff (in hours) is added to
1125
C     date1.
1126
C     date1	int	input	array contains a date in the form
1127
C				year,month,day,hour,step
1128
C     diff	real	input	timestep in hours to go from date1
1129
C     date2	int	output	array contains new date in the same form
1130
 
1131
      integer   date1(5),date2(5)
1132
      integer   idays(12)       ! array containing the days of the monthes
1133
      real	diff
1134
      logical	yearchange
1135
 
1136
      data idays/31,28,31,30,31,30,31,31,30,31,30,31/
1137
 
1138
      yearchange=.false.
1139
 
1140
      if ((mod(date1(1),4).eq.0).and.(date1(2).le.2)) idays(2)=29
1141
 
1142
      date2(1)=date1(1)
1143
      date2(2)=date1(2)
1144
      date2(3)=date1(3)
1145
      date2(4)=date1(4)
1146
      date2(5)=0
1147
      date2(4)=date1(4)+int(diff)+date1(5)
1148
 
1149
      if (date2(4).ge.24) then
1150
        date2(3)=date2(3)+int(date2(4)/24)
1151
        date2(4)=date2(4)-int(date2(4)/24)*24
1152
      endif
1153
      if (date2(4).lt.0) then
1154
        if (mod(date2(4),24).eq.0) then
1155
          date2(3)=date2(3)-int(abs(date2(4))/24)
1156
          date2(4)=date2(4)+int(abs(date2(4))/24)*24
1157
        else
1158
          date2(3)=date2(3)-(1+int(abs(date2(4))/24))
1159
          date2(4)=date2(4)+(1+int(abs(date2(4))/24))*24
1160
        endif
1161
      endif
1162
 
1163
  100 if (date2(3).gt.idays(date2(2))) then
1164
        if ((date2(2).eq.2).and.(mod(date2(1),4).eq.0)) idays(2)=29
1165
        date2(3)=date2(3)-idays(date2(2))
1166
        if (idays(2).eq.29) idays(2)=28
1167
        date2(2)=date2(2)+1
1168
        if (date2(2).gt.12) then
1169
*         date2(1)=date2(1)+int(date2(2)/12)
1170
*         date2(2)=date2(2)-int(date2(2)/12)*12
1171
          date2(1)=date2(1)+1
1172
          date2(2)=date2(2)-12
1173
        endif
1174
        if (date2(2).lt.1) then
1175
          date2(1)=date2(1)-(1+int(abs(date2(2)/12)))
1176
          date2(2)=date2(2)+(1+int(abs(date2(2)/12)))*12
1177
        endif
1178
        goto 100
1179
      endif     
1180
  200 if (date2(3).lt.1) then
1181
        date2(2)=date2(2)-1
1182
        if (date2(2).gt.12) then
1183
          date2(1)=date2(1)+int(date2(2)/12)
1184
          date2(2)=date2(2)-int(date2(2)/12)*12
1185
        endif
1186
        if (date2(2).lt.1) then
1187
          date2(1)=date2(1)-(1+int(abs(date2(2)/12)))
1188
          date2(2)=date2(2)+(1+int(abs(date2(2)/12)))*12
1189
        endif
1190
        if ((date2(2).eq.2).and.(mod(date2(1),4).eq.0)) idays(2)=29
1191
        date2(3)=date2(3)+idays(date2(2))
1192
        if (idays(2).eq.29) idays(2)=28
1193
        goto 200
1194
      endif
1195
 
1196
      if (date2(2).gt.12) then
1197
        date2(1)=date2(1)+int(date2(2)/12)
1198
        date2(2)=date2(2)-int(date2(2)/12)*12
1199
      endif
1200
      if (date2(2).lt.1) then
1201
        date2(1)=date2(1)-(1+int(abs(date2(2)/12)))
1202
        date2(2)=date2(2)+(1+int(abs(date2(2)/12)))*12
1203
      endif
1204
 
1205
      if (date2(1).lt.1000) then
1206
      if (date2(1).ge.100) date2(1)=date2(1)-100
1207
      endif
1208
 
1209
      return
1210
      end
1211
      subroutine indipo(lonw,lone,lats,latn,dx,dy,nx,ny,nz,ak,bk,
1212
     >           sp0,sp1,reltpos,levtyp,xpo,ypo,ppo,xind,yind,pind)
1213
C     =============================================================
1214
C
1215
C     Calculates the position in the grid space from the physical
1216
C     position.
1217
C
1218
      integer   nx,ny,nz,i
1219
      real      dx,dy
1220
      real      ak(nz),bk(nz)
1221
      real      sp0(nx,ny),sp1(nx,ny),spval0,spval1,spval
1222
      real      lonw,lone,lats,latn
1223
      real      xpo,ypo,ppo,reltpos
1224
      real      xind,yind,pind
1225
      integer	levtyp
1226
      real      int2d
1227
 
1228
C     levtyp=1 pressure levels
1229
C     levtyp=2 theta levels
1230
C     levtyp=3 model levels
1231
 
1232
C     Calculate the grid location to be interpolated to
1233
 
1234
      xind=(xpo-lonw)/dx+1.
1235
      yind=(ypo-lats)/dy+1.
1236
 
1237
      if (nz.eq.1) then
1238
        pind=1.
1239
        return
1240
      endif
1241
 
1242
      if (levtyp.eq.1) then
1243
        do i=1,nz-1
1244
          if ((ak(i).ge.ppo).and.(ak(i+1).le.ppo)) then
1245
            pind=real(i)+(ak(i)-ppo)/(ak(i)-ak(i+1))
1246
            return
1247
          endif
1248
        enddo
1249
      else if (levtyp.eq.2) then
1250
        do i=1,nz-1
1251
          if ((ak(i).le.ppo).and.(ak(i+1).ge.ppo)) then
1252
            pind=real(i)+(ak(i)-ppo)/(ak(i)-ak(i+1))
1253
            return
1254
          endif
1255
        enddo
1256
      else
1257
        if (ppo.eq.1050.) then
1258
          pind=1.
1259
          return
1260
        else
1261
          if (reltpos.eq.0.) then
1262
            spval=int2d(sp0,nx,ny,xind,yind)
1263
          else if (reltpos.eq.1.) then
1264
            spval=int2d(sp1,nx,ny,xind,yind)
1265
          else
1266
            spval0=int2d(sp0,nx,ny,xind,yind)
1267
            spval1=int2d(sp1,nx,ny,xind,yind)
1268
            spval=(1.-reltpos)*spval0+reltpos*spval1
1269
          endif
1270
          do i=1,nz-1
1271
            if ((ak(i)+bk(i)*spval.ge.ppo).and.
1272
     >          (ak(i+1)+bk(i+1)*spval.le.ppo)) then
1273
              pind=real(i)+(ak(i)+bk(i)*spval-ppo)/
1274
     >             (ak(i)+bk(i)*spval-ak(i+1)-bk(i+1)*spval)
1275
              return
1276
            endif
1277
          enddo
1278
        endif
1279
      endif
1280
      if (levtyp.lt.3) then
1281
        write(*,*)'error in indipo: ppo ',ppo,' is outside the levels'
1282
      else
1283
        if (ppo.gt.(ak(1)+bk(1)*spval)) then
1284
*         pind=1.
1285
          pind=(spval-ppo)/(spval-(ak(1)+bk(1)*spval))
1286
          return
1287
        else
1288
          write(*,*)'pos ',xpo,ypo,ppo,' sp ',ak(1)+bk(1)*spval
1289
          write(*,*)'error in indipo: ppo is outside the levels'
1290
        endif
1291
      endif
1292
 
1293
      return
1294
      end
1295
      subroutine nindipo(lonw0,lats0,lonw1,lats1,dx,dy,nx0,ny0,
1296
     >		 nx1,ny1,nz,ak,bk,sp0,sp1,reltpos,prelevs,
1297
     >           xpo,ypo,ppo,xind0,yind0,xind1,yind1,pind)
1298
C     ==============================================================
1299
C
1300
C     Calculates the position in the grid space from the physical
1301
C     position.
1302
C
1303
      integer   nx0,ny0,nx1,ny1,nz,i
1304
      real      dx,dy
1305
      real      ak(nz),bk(nz)
1306
      real      sp0(nx0,ny0),sp1(nx1,ny1),spval0,spval1,spval
1307
      real      lonw0,lats0,lonw1,lats1
1308
      real      xpo,ypo,ppo,reltpos
1309
      real      xind0,yind0,xind1,yind1,pind
1310
      logical   prelevs
1311
      real      int3d
1312
 
1313
C     Calculate the grid location to be interpolated to
1314
 
1315
      xind0=(xpo-lonw0)/dx+1.
1316
      yind0=(ypo-lats0)/dy+1.
1317
      xind1=(xpo-lonw1)/dx+1.
1318
      yind1=(ypo-lats1)/dy+1.
1319
 
1320
      if (prelevs) then
1321
        do i=1,nz-1
1322
          if ((ak(i).ge.ppo).and.(ak(i+1).le.ppo)) then
1323
            pind=real(i)+(ak(i)-ppo)/(ak(i)-ak(i+1))
1324
            return
1325
          endif
1326
        enddo
1327
      else
1328
        if (ppo.eq.1050.) then
1329
          pind=1.
1330
          return
1331
        else
1332
          if (reltpos.eq.0.) then
1333
            spval=int3d(sp0,nx0,ny0,nz,xind0,yind0,1.)
1334
          else if (reltpos.eq.1.) then
1335
            spval=int3d(sp1,nx1,ny1,nz,xind1,yind1,1.)
1336
          else
1337
            spval0=int3d(sp0,nx0,ny0,nz,xind0,yind0,1.)
1338
            spval1=int3d(sp1,nx1,ny1,nz,xind1,yind1,1.)
1339
            spval=(1.-reltpos)*spval0+reltpos*spval1
1340
          endif
1341
          do i=1,nz-1
1342
            if ((ak(i)+bk(i)*spval.ge.ppo).and.
1343
     >          (ak(i+1)+bk(i+1)*spval.le.ppo)) then
1344
              pind=real(i)+(ak(i)+bk(i)*spval-ppo)/
1345
     >             (ak(i)+bk(i)*spval-ak(i+1)-bk(i+1)*spval)
1346
              return
1347
            endif
1348
          enddo
1349
        endif
1350
      endif
1351
      if (prelevs) then
1352
        write(*,*)'error in indipo: ppo is outside the levels'
1353
      else
1354
        if (ppo.gt.(ak(1)+bk(1)*spval)) then
1355
          pind=1.
1356
          return
1357
        else
1358
          write(*,*)'pos ',xpo,ypo,ppo,' sp ',ak(1)+bk(1)*spval
1359
          write(*,*)'error in indipo: ppo is outside the levels'
1360
        endif
1361
      endif
1362
 
1363
      return
1364
      end
1365
      subroutine indipo_mc2(lonw,lone,lats,latn,dx,dy,nx,ny,nz,
1366
     >           bklev,bklay,bkt,zb,
1367
     >           xpo,ypo,ppo,xind,yind,pindlev,pindlay)
1368
C     =========================================================
1369
C
1370
C     Calculates the position in the grid space from the physical
1371
C     position.
1372
C
1373
      implicit none
1374
 
1375
      integer   nx,ny,nz,i
1376
      real      dx,dy
1377
      real      bklev(nz),bklay(nz),bkt
1378
      real      zb(nx,ny),spval0,spval1,spval,zbval
1379
      real      lonw,lone,lats,latn
1380
      real      xpo,ypo,ppo
1381
      real      xind,yind,pindlev,pindlay
1382
      real      int3d
1383
 
1384
C     Calculate the grid location to be interpolated to
1385
 
1386
      xind=(xpo-lonw)/dx+1.
1387
      yind=(ypo-lats)/dy+1.
1388
 
1389
      if (ppo.eq.0.) then
1390
        pindlev=1.                  
1391
        pindlay=1.
1392
        return
1393
      endif
1394
      zbval=int3d(zb,nx,ny,nz,xind,yind,1.)
1395
      do i=1,nz-1
1396
        if ((bklev(i)+(1.-bklev(i)/bkt)*zbval.le.ppo).and.
1397
     >       bklev(i+1)+(1.-bklev(i+1)/bkt)*zbval.gt.ppo) then
1398
          pindlev=real(i)+(ppo-bklev(i)-(1.-bklev(i)/bkt)*zbval)/
1399
     >       ((1.-zbval/bkt)*(bklev(i+1)-bklev(i)))
1400
          goto 40
1401
        endif
1402
      enddo
1403
      if (ppo.lt.zbval) then
1404
        write(*,*)'error in indipo_mc2: ppo is below the ground'
1405
        call exit(1)
1406
      else if (ppo.lt.bklev(1)+(1.-bklev(1)/bkt)*zbval) then
1407
        pindlev=(ppo-zbval)/(bklev(1)-bklev(1)/bkt*zbval)
1408
        return
1409
      else
1410
        write(*,*)'pos ',xpo,ypo,ppo,bklev(1)+(1.-bklev(1)/bkt)*zbval
1411
        write(*,*)'error in indipo_mc2: ppo is outside the levels'
1412
        call exit(1)
1413
      endif
1414
   40 do i=1,nz-1
1415
        if ((bklay(i)+(1.-bklay(i)/bkt)*zbval.le.ppo).and.
1416
     >       bklay(i+1)+(1.-bklay(i+1)/bkt)*zbval.gt.ppo) then
1417
          pindlay=real(i)+(ppo-bklay(i)-(1.-bklay(i)/bkt)*zbval)/
1418
     >       ((1.-zbval/bkt)*(bklay(i+1)-bklay(i)))
1419
          return
1420
        endif
1421
      enddo
1422
      if (ppo.lt.zbval) then
1423
        write(*,*)'error in indipo_mc2: ppo is below the ground'
1424
        call exit(1)
1425
      else if (ppo.lt.bklay(1)+(1.-bklay(1)/bkt)*zbval) then
1426
        pindlay=(ppo-zbval)/(bklay(1)-bklay(1)/bkt*zbval)
1427
        return
1428
      else
1429
        write(*,*)'pos ',xpo,ypo,ppo,bklay(1)+(1.-bklay(1)/bkt)*zbval
1430
        write(*,*)'error in indipo_mc2: ppo is outside the layers'
1431
        call exit(1)
1432
      endif
1433
 
1434
      end
1435
      subroutine ipo(nx,ny,nz,field0,field1,reltpos,
1436
     >		     xind,yind,pind,mdv,ipomode,value)
1437
C     ================================================
1438
C
1439
C     Decides what kind of interpolation should be done.
1440
C
1441
      integer   nx,ny,nz
1442
      real      field0(nx,ny,nz)
1443
      real      field1(nx,ny,nz)
1444
      real      reltpos
1445
      real      xind,yind,pind
1446
      real      value,mdv
1447
      integer	ipomode
1448
 
1449
      if (ipomode.eq.1) then
1450
        call linipo(nx,ny,nz,field0,field1,reltpos,
1451
     >		    xind,yind,pind,mdv,value)
1452
      else if (ipomode.eq.2) then
1453
        call bicipo(nx,ny,nz,field0,field1,reltpos,
1454
     >              xind,yind,pind,value)
1455
      else if (ipomode.eq.3) then
1456
        call vcuipo(nx,ny,nz,field0,field1,reltpos,
1457
     >              xind,yind,pind,mdv,value)
1458
      else if (ipomode.eq.11) then
1459
        call linipolog(nx,ny,nz,field0,field1,reltpos,
1460
     >                 xind,yind,pind,mdv,value)
1461
      else
1462
        write(*,*)'*** error in SR ipo: unknown ipomode'
1463
        stop
1464
      endif
1465
 
1466
      return
1467
      end
1468
      subroutine nipo(nx0,ny0,nx1,ny1,nz,field0,field1,reltpos,
1469
     >           xind0,yind0,xind1,yind1,pind,mdv,ipomode,value)
1470
C     ==========================================================
1471
C
1472
C     Decides what kind of interpolation should be done.
1473
C
1474
      integer   nx0,ny0,nx1,ny1,nz
1475
      real      field0(nx0,ny0,nz)
1476
      real      field1(nx1,ny1,nz)
1477
      real      reltpos
1478
      real      xind0,yind0,xind1,yind1,pind
1479
      real      value,mdv
1480
      integer   ipomode
1481
 
1482
      if (ipomode.eq.1) then
1483
        call nlinipo(nx0,ny0,nx1,ny1,nz,field0,field1,reltpos,
1484
     >               xind0,yind0,xind1,yind1,pind,mdv,value)
1485
      else
1486
        write(*,*)'*** error in SR ipo: unknown ipomode'
1487
        stop
1488
      endif
1489
 
1490
      return
1491
      end
1492
      subroutine linipo(nx,ny,nz,field0,field1,reltpos,
1493
     >                  xind,yind,pind,mdv,value)
1494
C     =================================================
1495
C
1496
C     Does linear interpolation both in time and space.
1497
C
1498
      integer   nx,ny,nz
1499
      real 	field0(nx,ny,nz)
1500
      real 	field1(nx,ny,nz)
1501
      real 	reltpos
1502
      real 	xind,yind,pind
1503
      real	value,val0,val1,mdv
1504
      real	int3dm,int2dm
1505
 
1506
      if (reltpos.eq.0.) then
1507
        if (nz.eq.1) then
1508
          value=int2dm(field0,nx,ny,xind,yind,mdv)
1509
        else
1510
          value=int3dm(field0,nx,ny,nz,xind,yind,pind,mdv)
1511
        endif
1512
      else if (reltpos.eq.1.) then
1513
        if (nz.eq.1) then
1514
          value=int2dm(field1,nx,ny,xind,yind,mdv)
1515
        else
1516
          value=int3dm(field1,nx,ny,nz,xind,yind,pind,mdv)
1517
        endif
1518
      else
1519
        if (nz.eq.1) then
1520
          val0=int2dm(field0,nx,ny,xind,yind,mdv)
1521
          val1=int2dm(field1,nx,ny,xind,yind,mdv)
1522
        else
1523
          val0=int3dm(field0,nx,ny,nz,xind,yind,pind,mdv)
1524
          val1=int3dm(field1,nx,ny,nz,xind,yind,pind,mdv)
1525
        endif
1526
        if ((val0.eq.mdv).or.(val1.eq.mdv)) then
1527
          value=mdv
1528
        else
1529
          value=(1.-reltpos)*val0+reltpos*val1
1530
        endif
1531
      endif
1532
 
1533
      return
1534
      end
1535
      subroutine linipolog(nx,ny,nz,field0,field1,reltpos,
1536
     >                     xind,yind,pind,mdv,value)
1537
C     ====================================================
1538
C
1539
C     Does linear interpolation both in time and space.
1540
C
1541
      integer   nx,ny,nz
1542
      real      field0(nx,ny,nz)
1543
      real      field1(nx,ny,nz)
1544
      real      reltpos
1545
      real      xind,yind,pind
1546
      real      value,val0,val1,mdv
1547
      real      int3dmlog
1548
 
1549
      if (reltpos.eq.0.) then
1550
        value=int3dmlog(field0,nx,ny,nz,xind,yind,pind,mdv)
1551
      else if (reltpos.eq.1.) then
1552
        value=int3dmlog(field1,nx,ny,nz,xind,yind,pind,mdv)
1553
      else
1554
        val0=int3dmlog(field0,nx,ny,nz,xind,yind,pind,mdv)
1555
        val1=int3dmlog(field1,nx,ny,nz,xind,yind,pind,mdv)
1556
        if ((val0.eq.mdv).or.(val1.eq.mdv)) then
1557
          value=mdv
1558
        else
1559
          value=(1.-reltpos)*val0+reltpos*val1
1560
        endif
1561
      endif
1562
 
1563
      return
1564
      end
1565
      subroutine nlinipo(nx0,ny0,nx1,ny1,nz,field0,field1,reltpos,
1566
     >                  xind0,yind0,xind1,yind1,pind,mdv,value)
1567
C     ============================================================
1568
C
1569
C     Does linear interpolation both in time and space.
1570
C
1571
      integer   nx0,ny0,nx1,ny1,nz
1572
      real      field0(nx0,ny0,nz)
1573
      real      field1(nx1,ny1,nz)
1574
      real      reltpos
1575
      real      xind0,yind0,xind1,yind1,pind
1576
      real      value,val0,val1,mdv
1577
      real      int3dm
1578
 
1579
      if (reltpos.eq.0.) then
1580
        value=int3dm(field0,nx0,ny0,nz,xind0,yind0,pind,mdv)
1581
      else if (reltpos.eq.1.) then
1582
        value=int3dm(field1,nx1,ny1,nz,xind1,yind1,pind,mdv)
1583
      else
1584
        val0=int3dm(field0,nx0,ny0,nz,xind0,yind0,pind,mdv)
1585
        val1=int3dm(field1,nx1,ny1,nz,xind1,yind1,pind,mdv)
1586
        value=(1.-reltpos)*val0+reltpos*val1
1587
      endif
1588
 
1589
      return
1590
      end
1591
      subroutine vcuipo(nx,ny,nz,field0,field1,reltpos,
1592
     >                  xind,yind,pind,mdv,value)
1593
C     =================================================
1594
C
1595
C     Does linear interpolation both in time and space, except for a cubic
1596
C     interpolation in the vertical.
1597
C
1598
      integer   nx,ny,nz
1599
      real      field0(nx,ny,nz)
1600
      real      field1(nx,ny,nz)
1601
      real      reltpos
1602
      real      xind,yind,pind
1603
      real      value,val0,val1,mdv
1604
      real      int3dmvc
1605
 
1606
      if (reltpos.eq.0.) then
1607
        value=int3dmvc(field0,nx,ny,nz,xind,yind,pind,mdv)
1608
      else if (reltpos.eq.1.) then
1609
        value=int3dmvc(field1,nx,ny,nz,xind,yind,pind,mdv)
1610
      else
1611
        val0=int3dmvc(field0,nx,ny,nz,xind,yind,pind,mdv)
1612
        val1=int3dmvc(field1,nx,ny,nz,xind,yind,pind,mdv)
1613
        value=(1.-reltpos)*val0+reltpos*val1
1614
      endif
1615
 
1616
      return
1617
      end
1618
      subroutine linipom(nx,ny,nz,field0,field1,reltpos,
1619
     >                  mdv,xind,yind,pind,value)
1620
C     =================================================
1621
C
1622
C     Does linear interpolation both in time and space.
1623
C
1624
      integer   nx,ny,nz
1625
      real      field0(nx,ny,nz)
1626
      real      field1(nx,ny,nz)
1627
      real      reltpos,mdv
1628
      real      xind,yind,pind
1629
      real      value,val0,val1
1630
      real      int3dm
1631
 
1632
      if (reltpos.eq.0.) then
1633
        value=int3dm(field0,nx,ny,nz,xind,yind,pind,mdv)
1634
      else if (reltpos.eq.1.) then
1635
        value=int3dm(field1,nx,ny,nz,xind,yind,pind,mdv)
1636
      else
1637
        val0=int3dm(field0,nx,ny,nz,xind,yind,pind,mdv)
1638
        val1=int3dm(field1,nx,ny,nz,xind,yind,pind,mdv)
1639
        value=(1.-reltpos)*val0+reltpos*val1
1640
      endif
1641
 
1642
      return
1643
      end
1644
      subroutine bicipo(nx,ny,nz,fld0,fld1,reltpos,
1645
     >                  xind,yind,pind,value)
1646
C     ===================================================
1647
C
1648
C     Does linear interpolation in time and bicubic interpolation
1649
C     in space (horizontally)
1650
C
1651
      integer   nx,ny,nz
1652
      real      fld0(nx,ny,nz),fld1(nx,ny,nz)
1653
      real      reltpos,value
1654
      real      xind,yind,pind
1655
 
1656
C     Declarations of local variables
1657
 
1658
      integer   k1,k2
1659
      real      frac1k,frac2k
1660
      real      val0,val1,val10,val20,val11,val21
1661
      real	cint2d
1662
 
1663
      k1=int(pind)
1664
      k2=k1+1
1665
 
1666
      frac1k=pind-aint(pind)
1667
      frac2k=1.-frac1k
1668
 
1669
C     Interpolate value on lower level for first time
1670
 
1671
      if ((reltpos.ne.1.).and.(frac2k.ne.0.)) then
1672
        val10=cint2d(fld0,nx,ny,nz,xind,yind,k1)
1673
      endif
1674
 
1675
C     Interpolate value on upper level for first time
1676
 
1677
      if ((reltpos.ne.1.).and.(frac1k.ne.0.)) then
1678
        val20=cint2d(fld0,nx,ny,nz,xind,yind,k2)
1679
      endif
1680
 
1681
C     Interpolate value on lower level for second time
1682
 
1683
      if ((reltpos.ne.0.).and.(frac2k.ne.0.)) then
1684
        val11=cint2d(fld1,nx,ny,nz,xind,yind,k1)
1685
      endif
1686
 
1687
C     Interpolate value on upper level for second time
1688
 
1689
      if ((reltpos.ne.0.).and.(frac1k.ne.0.)) then
1690
        val21=cint2d(fld1,nx,ny,nz,xind,yind,k2)
1691
      endif
1692
 
1693
C     Do vertical interpolation and interpolation in time
1694
 
1695
      if (reltpos.eq.0.) then
1696
        value=frac2k*val10+frac1k*val20
1697
      else if (reltpos.eq.1.) then
1698
        value=frac2k*val11+frac1k*val21
1699
      else
1700
        val0=frac2k*val10+frac1k*val20
1701
        val1=frac2k*val11+frac1k*val21
1702
        value=(1.-reltpos)*val0+reltpos*val1
1703
      endif
1704
 
1705
      return
1706
      end