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
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
|
/*@@
@file AHFinder_dis.F
@date September 2001
@author Miguel Alcubierre
@desc
Routine to calculate proper distances between horizons.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine AHFinder_dis(CCTK_ARGUMENTS)
use AHFinder_dat
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
integer i,l,m
integer np,npoints,vindex,ierror
integer param_table_handle,interp_handle,coord_system_handle
character(30) options_string
character(128) operator
CCTK_INT nchars
CCTK_POINTER, dimension(3) :: interp_coords
CCTK_INT, dimension(6) :: in_array_indices
CCTK_POINTER, dimension(6) :: out_arrays
CCTK_INT, dimension(6) :: out_array_type_codes
CCTK_REAL LEGEN
CCTK_REAL zero,half,one,two,pi
CCTK_REAL x12,y12,z12,r12,rho12
CCTK_REAL theta,phi,cost,sint,cosp,sinp
CCTK_REAL x1,y1,z1,r1
CCTK_REAL x2,y2,z2,r2
CCTK_REAL ddx,ddy,ddz,d12
CCTK_REAL aux,cosa,sina,factor
CCTK_REAL, allocatable, dimension(:) :: xa,ya,za
CCTK_REAL, allocatable, dimension(:) :: txx,tyy,tzz,txy,txz,tyz
character(200) disf
logical disf_exists
! **************************
! *** DEFINE NUMBERS ***
! **************************
zero = 0.0D0
half = 0.5D0
one = 1.0D0
two = 2.0D0
pi = acos(-one)
factor = one
! ****************************************
! *** FIND LINE CONNECTING CENTERS ***
! ****************************************
! For the moment, horizons 1 and 2 only.
write(*,*)
write(*,*) 'Integrating distances between horizons 1 and 2 ...'
x1 = ahf_xc_1
y1 = ahf_yc_1
z1 = ahf_zc_1
x2 = ahf_xc_2
y2 = ahf_yc_2
z2 = ahf_zc_2
! Find line connecting centers.
! Neither horizon exists.
if ((.not.status_old_1).and.(.not.status_old_2)) then
write(*,*)
write(*,*) 'Neither horizon 1 nor horizon 2 exist,'
write(*,*) 'giving up.'
write(*,*)
d12 = zero
goto 100
! Just horizon 1 exists.
else if (status_old_1.and.(.not.status_old_2)) then
write(*,*)
write(*,*) 'Only horizon 1 exists.'
write(*,*)
! Check symmetries.
if (CCTK_Equals(domain,"octant").eq.1) then
write(*,*) 'Octant symmetry: calculating twice'
write(*,*) 'twice the distance from horizon 1 to origin.'
factor = two
x2 = zero
y2 = zero
z2 = zero
else if (CCTK_Equals(domain,"quadrant").eq.1) then
if (CCTK_Equals(quadrant_direction,"x").eq.1) then
write(*,*) 'Quadrant symmetry, x direction: calculating'
write(*,*) 'twice the distance from horizon 1 to x axis.'
factor = two
x2 = x1
y2 = zero
z2 = zero
else if (CCTK_Equals(quadrant_direction,"y").eq.1) then
write(*,*) 'Quadrant symmetry, y direction: calculating'
write(*,*) 'twice the distance from horizon 1 to y axis.'
factor = two
x2 = zero
y2 = y1
z2 = zero
else if (CCTK_Equals(quadrant_direction,"z").eq.1) then
write(*,*) 'Quadrant symmetry, z direction: calculating'
write(*,*) 'twice the distance from horizon 1 to z axis.'
factor = two
x2 = zero
y2 = zero
z2 = z1
end if
else if (CCTK_Equals(domain,"bitant").eq.1) then
if (CCTK_Equals(bitant_plane,"xy").eq.1) then
write(*,*) 'Bitant symmetry, xy plane: calculating twice'
write(*,*) 'the distance from horizon 1 to xy plane.'
factor = two
x2 = x1
y2 = y1
z2 = zero
else if (CCTK_Equals(bitant_plane,"xz").eq.1) then
write(*,*) 'Bitant symmetry, xz plane: calculating twice'
write(*,*) 'the distance from horizon 1 to xz plane.'
factor = two
x2 = x1
y2 = zero
z2 = z1
else if (CCTK_Equals(bitant_plane,"yz").eq.1) then
write(*,*) 'Bitant symmetry, yz plane: calculating twice'
write(*,*) 'the distance from horizon 1 to yz plane.'
factor = two
x2 = zero
y2 = y1
z2 = z1
end if
else
write(*,*) 'No grid symmetries: no distance to calculate,'
write(*,*) 'giving up.'
d12 = zero
goto 100
end if
! Just horizon 2 exists.
else if (status_old_2.and.(.not.status_old_1)) then
write(*,*)
write(*,*) 'Only horizon 2 exists.'
write(*,*)
! Check symmetries.
if (CCTK_Equals(domain,"octant").eq.1) then
write(*,*) 'Octant symmetry: calculating'
write(*,*) 'twice the distance from horizon 2 to origin.'
factor = two
x1 = zero
y1 = zero
z1 = zero
else if (CCTK_Equals(domain,"quadrant").eq.1) then
if (CCTK_Equals(quadrant_direction,"x").eq.1) then
write(*,*) 'Quadrant symmetry, x direction: calculating'
write(*,*) 'twice the distance from horizon 2 to x axis.'
factor = two
x1 = x2
y1 = zero
z1 = zero
else if (CCTK_Equals(quadrant_direction,"y").eq.1) then
write(*,*) 'Quadrant symmetry, y direction: calculating'
write(*,*) 'twice the distance from horizon 2 to y axis.'
factor = two
x1 = zero
y1 = y2
z1 = zero
else if (CCTK_Equals(quadrant_direction,"z").eq.1) then
write(*,*) 'Quadrant symmetry, z direction: calculating'
write(*,*) 'twice the distance from horizon 2 to z axis.'
factor = two
x1 = zero
y1 = zero
z1 = z2
end if
else if (CCTK_Equals(domain,"bitant").eq.1) then
if (CCTK_Equals(bitant_plane,"xy").eq.1) then
write(*,*) 'Bitant symmetry, xy plane: calculating twice'
write(*,*) 'the distance from horizon 2 to xy plane.'
factor = two
x1 = x2
y1 = y2
z1 = zero
else if (CCTK_Equals(bitant_plane,"xz").eq.1) then
write(*,*) 'Bitant symmetry, xz plane: calculating twice'
write(*,*) 'the distance from horizon 2 to xz plane.'
factor = two
x1 = x2
y1 = zero
z1 = z2
else if (CCTK_Equals(bitant_plane,"yz").eq.1) then
write(*,*) 'Bitant symmetry, yz plane: calculating twice'
write(*,*) 'the distance from horizon 2 to yz plane.'
factor = two
x1 = zero
y1 = y2
z1 = z2
end if
else
write(*,*) 'No grid symmetries: no distance to calculate.'
write(*,*) 'giving up.'
d12 = zero
goto 100
end if
end if
! Find connecting line.
x12 = x2 - x1
y12 = y2 - y1
z12 = z2 - z1
rho12 = sqrt(x12**2 + y12**2)
r12 = sqrt(x12**2 + y12**2 + z12**2)
! ***********************************************************
! *** FIND LOCATION OF HORIZONS ALONG CONNECTING LINE ***
! ***********************************************************
! Find angles for horizon 1.
if (r12.ne.zero) then
cost = z12/r12
else
write(*,*)
write(*,*) 'Coordinate distance is zero,'
write(*,*) 'giving up.'
write(*,*)
d12 = zero
goto 100
end if
sint = sqrt(one - cost**2)
if (y12.ne.zero) then
phi = atan2(y12,x12)
else
phi = zero
end if
sinp = sin(phi)
cosp = cos(phi)
! Find point in horizon 1.
if (status_old_1) then
r1 = c0(0)
do l=1+stepz,lmax,1+stepz
r1 = r1 + c0(l)*LEGEN(l,0,cost)
end do
if (nonaxi) then
do m=1,lmax
aux = dble(m)*phi
sina = sin(aux)
cosa = cos(aux)
do l=m,lmax
aux = LEGEN(l,m,cost)
r1 = r1 + aux*cc(l,m)*cosa
if (.not.refy) then
r1 = r1 + aux*cs(l,m)*sina
end if
end do
end do
end if
x1 = x1 + r1*sint*cosp
y1 = y1 + r1*sint*sinp
z1 = z1 + r1*cost
end if
! Find angles for horizon 2.
cost = -cost
sint = +sint
cosp = -cosp
sinp = -sinp
phi = phi + pi
! Find point in horizon 2.
if (status_old_2) then
r2 = c0(0)
do l=1+stepz,lmax,1+stepz
r2 = r2 + c0(l)*LEGEN(l,0,cost)
end do
if (nonaxi) then
do m=1,lmax
aux = dble(m)*phi
sina = sin(aux)
cosa = cos(aux)
do l=m,lmax
aux = LEGEN(l,m,cost)
r2 = r2 + aux*cc(l,m)*cosa
if (.not.refy) then
r2 = r2 + aux*cs(l,m)*sina
end if
end do
end do
end if
x2 = x2 + r2*sint*cosp
y2 = y2 + r2*sint*sinp
z2 = z2 + r2*cost
end if
! **************************************
! *** ALLOCATE MEMORY FOR ARRAYS ***
! **************************************
aux = sqrt((x1-x2)**2 + (y1-y2)**2 + (z1-z2)**2)/dx
np = int(aux)
if (myproc.eq.0) then
allocate(xa(0:np))
allocate(ya(0:np))
allocate(za(0:np))
allocate(txx(0:np))
allocate(tyy(0:np))
allocate(tzz(0:np))
allocate(txy(0:np))
allocate(txz(0:np))
allocate(tyz(0:np))
else
allocate(xa(1))
allocate(ya(1))
allocate(za(1))
allocate(txx(1))
allocate(tyy(1))
allocate(tzz(1))
allocate(txy(1))
allocate(txz(1))
allocate(tyz(1))
end if
! *************************************
! *** FIND INTERPOLATING POINTS ***
! *************************************
if (myproc.eq.0) then
npoints = np + 1
do i=0,np
aux = dble(i)/dble(np)
xa(i) = x1 + aux*(x2-x1)
ya(i) = y1 + aux*(y2-y1)
za(i) = z1 + aux*(z2-z1)
end do
else
npoints = 1
xa = half*(x1 + x2)
ya = half*(y1 + y2)
za = half*(z1 + z2)
end if
! ******************************
! *** INTERPOLATE METRIC ***
! ******************************
! parameter, local interpolator, and coordinate system handle.
param_table_handle = -1
interp_handle = -1
coord_system_handle = -1
options_string = "order = " // char(ichar('0') + interpolation_order)
call Util_TableCreateFromString (param_table_handle, options_string)
if (param_table_handle .lt. 0) then
call CCTK_WARN(0,"Cannot create parameter table for interpolator")
endif
call CCTK_FortranString (nchars, interpolation_operator, operator)
call CCTK_InterpHandle (interp_handle, operator)
if (interp_handle.lt.0) then
call CCTK_WARN(0,"Cannot get handle for interpolation ! Forgot to activate an implementation providing interpolation operators ??")
endif
call CCTK_CoordSystemHandle (coord_system_handle, "cart3d")
if (coord_system_handle .lt. 0) then
call CCTK_WARN(0,"Cannot get handle for cart3d coordinate system ! Forgot to activate an implementation providing coordinates ??")
endif
! fill in the input/output arrays for the interpolator
interp_coords(1) = CCTK_PointerTo(xa)
interp_coords(2) = CCTK_PointerTo(ya)
interp_coords(3) = CCTK_PointerTo(za)
call CCTK_VarIndex (vindex, "admbase::gxx")
in_array_indices(1) = vindex
call CCTK_VarIndex (vindex, "admbase::gyy")
in_array_indices(2) = vindex
call CCTK_VarIndex (vindex, "admbase::gzz")
in_array_indices(3) = vindex
call CCTK_VarIndex (vindex, "admbase::gxy")
in_array_indices(4) = vindex
call CCTK_VarIndex (vindex, "admbase::gxz")
in_array_indices(5) = vindex
call CCTK_VarIndex (vindex, "admbase::gyz")
in_array_indices(6) = vindex
out_arrays(1) = CCTK_PointerTo(txx)
out_arrays(2) = CCTK_PointerTo(tyy)
out_arrays(3) = CCTK_PointerTo(tzz)
out_arrays(4) = CCTK_PointerTo(txy)
out_arrays(5) = CCTK_PointerTo(txz)
out_arrays(6) = CCTK_PointerTo(tyz)
out_array_type_codes = CCTK_VARIABLE_REAL
! Interpolation.
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
. param_table_handle, coord_system_handle,
. npoints, CCTK_VARIABLE_REAL, interp_coords,
. 6, in_array_indices,
. 6, out_array_type_codes, out_arrays)
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
! release parameter table
call Util_TableDestroy (ierror, param_table_handle)
! ******************************
! *** INTEGRATE DISTANCE ***
! ******************************
ddx = (x2-x1)/dble(np)
ddy = (y2-y1)/dble(np)
ddz = (z2-z1)/dble(np)
if (myproc.eq.0) then
! Integrate using trapezoidal rule.
d12 = zero
do i=1,np
d12 = d12 + half
. *(sqrt(txx(i-1)*ddx**2 + tyy(i-1)*ddy**2 + tzz(i-1)*ddz**2
. + two*(txy(i-1)*ddx*ddy + txz(i-1)*ddx*ddz + tyz(i-1)*ddy*ddz))
. + sqrt(txx(i )*ddx**2 + tyy(i )*ddy**2 + tzz(i )*ddz**2
. + two*(txy(i )*ddx*ddy + txz(i )*ddx*ddz + tyz(i )*ddy*ddz)))
end do
end if
d12 = factor*d12
! *****************************
! *** DEALLOCATE MEMORY ***
! *****************************
deallocate(xa,ya,za)
deallocate(txx,tyy,tzz,txy,txz,tyz)
! ******************
! *** OUTPUT ***
! ******************
100 continue
disf = filestr(1:nfile) // "/ahf_d12" // ".tl"
if (myproc.eq.0) then
inquire(file=disf, exist=disf_exists)
if (disf_exists) then
open(11,file=disf,form='formatted',status='old', position='append')
else
open(11,file=disf,form='formatted',status='replace')
write(11,"(A18)") '" Horizon distance'
end if
write(11,"(2ES14.6)") cctk_time,d12
close(11)
end if
! ***************
! *** END ***
! ***************
end subroutine AHFinder_dis
|
