Newer
Older
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
!------------------------------------------------------------------------------|
!------------------------------------------------------------------------------|
! |
! ||===\\ |
! || \\ |
! || || //==\\ || || //==|| ||/==\\ |
! || || || || || || || || || || |
! || // || || || || || || || |
! ||===// \\==// \\==\\ \\==\\ || |
! |
!------------------------------------------------------------------------------|
!------------------------------------------------------------------------------|
! |
! CREATE_SURF May. 2008 |
! |
!------------------------------------------------------------------------------|
!------------------------------------------------------------------------------|
subroutine create_surf(surface,is,debug)
!------------------------------------------------------------------------------|
!(((((((((((((((( Purpose of the routine ))))))))))))))))))))))))))))))))))))))
!------------------------------------------------------------------------------|
! for a given surfaces passed as argument, this routine computes
! the 8 fields x,y,z,xn,yn,zn,r,s for each point of the surface
! according to its type and levelt, and the triangulation
!------------------------------------------------------------------------------|
!(((((((((((((((( declaration of the subroutine arguments ))))))))))))))))))))
!------------------------------------------------------------------------------|
use definitions
use randomodule
use constants
implicit none
type (sheet) :: surface
integer is
integer debug
!------------------------------------------------------------------------------|
!(((((((((((((((( declaration of the subroutine internal variables )))))))))))))
!------------------------------------------------------------------------------|
integer :: levelt,surface_type,nproc,iproc,ierr,i,ij,j,ie,i1,i2,i3,k,seed,indix
integer :: err,ntmax,nhmax,npmax,nmax,nmode,nvmax,nnpnmax,nh,nohalt_hull,loc
integer :: dmode,nt,nbmax,it,nhull,icircles,irect
integer,dimension(:), allocatable :: hulltriangles,vis_tlist,vis_elist
integer,dimension(:), allocatable :: add_tlist,nb
integer,dimension(:,:),allocatable :: vertices,neighbour,nn
logical*1,dimension(:),allocatable :: lt_work,ln_work
double precision :: sp01,sp02,sp03,sp04,sp05,sp06,sp07,sp08,sp09,sp10
double precision :: x1,x2,x3,y1,y2,y3,z1,z2,z3,xne,yne,zne,xyzn
double precision :: delta,eps,epsil,xtemp,ytemp,delta_angle,delta_radius,angle
double precision :: xx,yy,xini,xend,yini,yend,dx,dy,dist
double precision,dimension(:), allocatable :: field
double precision,dimension(:,:),allocatable :: points,centres
logical clockwise
character(len=4) :: cs
character ch
character*72 :: shift
integer nnn(1),nnlist(1),ntrilist(1)
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
!------------------------------------------------------------------------------|
!------------------------------------------------------------------------------|
INCLUDE 'mpif.h'
call mpi_comm_size (mpi_comm_world,nproc,ierr)
call mpi_comm_rank (mpi_comm_world,iproc,ierr)
shift=' '
if (surface%surface_type.lt.0) then
!---------------------------------
! reading surface from ascii file
!---------------------------------
if (iproc.eq.0) then
write (ch,'(i1)') -surface%surface_type
write(*,*) shift//'surface-'//ch//'.txt'
open(71,file='surface-'//ch//'.txt',status='old')
read(71,*) surface%nsurface,surface%nt
write(*,*) shift//'-> nb of points :',surface%nsurface
write(*,*) shift//'-> nb of triangles:',surface%nt
end if
call mpi_bcast (surface%nsurface,1,mpi_integer,0,mpi_comm_world,ierr)
call mpi_bcast (surface%nt,1,mpi_integer,0,mpi_comm_world,ierr)
deallocate (surface%x,surface%y,surface%z)
deallocate (surface%xn,surface%yn,surface%zn)
deallocate (surface%r,surface%s)
deallocate (surface%icon)
allocate (surface%x(surface%nsurface),surface%y(surface%nsurface),surface%z(surface%nsurface))
allocate (surface%xn(surface%nsurface),surface%yn(surface%nsurface),surface%zn(surface%nsurface))
allocate (surface%r(surface%nsurface),surface%s(surface%nsurface))
allocate (surface%icon(3,surface%nt))
if (iproc.eq.0) then
write(*,*) surface%nsurface,surface%nt
do i=1,surface%nsurface
read (71,*) surface%x(i),surface%y(i),surface%z(i),surface%xn(i),surface%yn(i),surface%zn(i)
surface%r(i)=surface%x(i)
surface%s(i)=surface%y(i)
if (surface%x(i)<0 .or. surface%x(i)>1 .or. surface%y(i)<0 .or. surface%y(i)>1 .or. surface%z(i)<0 .or. surface%z(i)>1 &
.and. iproc.eq.0) &
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
print *,surface%x(i),surface%y(i),surface%z(i)
enddo
do i=1,surface%nt
read (71,*) (surface%icon(j,i),j=1,3)
enddo
close (71)
endif
call mpi_bcast(surface%x,surface%nsurface,mpi_double_precision,0,mpi_comm_world,ierr)
call mpi_bcast(surface%y,surface%nsurface,mpi_double_precision,0,mpi_comm_world,ierr)
call mpi_bcast(surface%z,surface%nsurface,mpi_double_precision,0,mpi_comm_world,ierr)
call mpi_bcast(surface%xn,surface%nsurface,mpi_double_precision,0,mpi_comm_world,ierr)
call mpi_bcast(surface%yn,surface%nsurface,mpi_double_precision,0,mpi_comm_world,ierr)
call mpi_bcast(surface%zn,surface%nsurface,mpi_double_precision,0,mpi_comm_world,ierr)
call mpi_bcast(surface%r,surface%nsurface,mpi_double_precision,0,mpi_comm_world,ierr)
call mpi_bcast(surface%s,surface%nsurface,mpi_double_precision,0,mpi_comm_world,ierr)
call mpi_bcast(surface%icon,surface%nt*3,mpi_integer,0,mpi_comm_world,ierr)
else
!----------------
! create surface
!----------------
seed=1234567
sp01=surface%sp01
sp02=surface%sp02
sp03=surface%sp03
sp04=surface%sp04
sp05=surface%sp05
sp06=surface%sp06
sp07=surface%sp07
sp08=surface%sp08
sp09=surface%sp09
sp10=surface%sp10
surface_type=surface%surface_type
levelt=surface%levelt
! delta=2.d0**(-levelt) ! spacing between points on hull
delta=1.d0 / (2.d0**levelt +1) ! opla
epsil=(surface%stretch-1)/2.d0
if (iproc.eq.0) write(8,*) 'create_surfaces: delta=',delta
if (iproc.eq.0) write(8,*) 'create_surfaces: epsilon=',epsil
!-----building the surface-------------
! type 1 : flat surface
! type 2 : rectangular emboss
! type 3 : convex spherical emboss
! type 4 : concave spherical emboss
! type 5 : double rectangular emboss
! type 6 : sinus
! type 7 : noisy surface
! type 8 : double sinus
! type 9 : cosinus sinus
! type 10 : slope
! type 11 : 2D hill
! type 12 : rectangular emboss with specified slope
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
! if (surface%rand) then
indix=1
! convex hull
do i=1,2**levelt +1
surface%x(indix)=dble(i-1)*delta
surface%y(indix)=0.d0
indix=indix+1
end do
do i=1,2**levelt +1
surface%x(indix)=1.d0
surface%y(indix)=dble(i-1)*delta
indix=indix+1
end do
do i=1,2**levelt +1
surface%x(indix)=1.d0-dble(i-1)*delta
surface%y(indix)=1.d0
indix=indix+1
end do
do i=1,2**levelt +1
surface%x(indix)=0.d0
surface%y(indix)=1.d0-dble(i-1)*delta
indix=indix+1
end do
!interior nodes
if(surface%rand) then
call random_number (surface%x(indix:surface%nsurface))
call random_number (surface%y(indix:surface%nsurface))
else
surface%x(indix:surface%nsurface)=0.5d0
surface%y(indix:surface%nsurface)=0.5d0
end if
do j=2,2**levelt +1
do i=2,2**levelt +1
surface%x(indix)=(((surface%x(indix)-0.5d0)*2.d0)*epsil+dble(i-1))*delta
surface%y(indix)=(((surface%y(indix)-0.5d0)*2.d0)*epsil+dble(j-1))*delta
indix=indix+1
enddo
enddo
! else
! ! regular grid of points
! indix=1
! do j=1,2**levelt+1
! do i=1,2**levelt+1
! surface%x(indix)=float(i-1)*delta
! surface%y(indix)=float(j-1)*delta
! indix=indix+1
! end do
! end do
! end if
case (22)
if (surface%rand) then
indix=1
! convex hull
do i=1,2**levelt
surface%x(indix)=(i-1)*delta
surface%y(indix)=0.d0
indix=indix+1
end do
do i=1,2**levelt
surface%x(indix)=1.d0
surface%y(indix)=(i-1)*delta
indix=indix+1
end do
do i=1,2**levelt
surface%x(indix)=1.d0-(i-1)*delta
surface%y(indix)=1.d0
indix=indix+1
end do
do i=1,2**levelt
surface%x(indix)=0.d0
surface%y(indix)=1.d0-(i-1)*delta
indix=indix+1
end do
if (iproc.eq.0) write(8,*) 'nhull=',indix-1,'for surface ',is
! placing rows of points outside, on and outside the rectangle
eps=0.001
do irect=-5,3,2
xini=sp02+irect*eps
xend=sp03-irect*eps
yini=sp04+irect*eps
yend=sp05-irect*eps
dx=(xend-xini)/2**levelt
dy=(yend-yini)/2**levelt
do i=1,2**levelt
xx=xini+(i-1)*dx
yy=yini
if (xx.ge.0 .and. xx.le.1 .and. yy.ge.0 .and. yy.le.1) then
surface%x(indix)=xx
surface%y(indix)=yy
indix=indix+1
end if
end do
do i=1,2**levelt
xx=xend
yy=yini+(i-1)*dy
if (xx.ge.0 .and. xx.le.1 .and. yy.ge.0 .and. yy.le.1) then
surface%x(indix)=xx
surface%y(indix)=yy
indix=indix+1
end if
end do
do i=1,2**levelt
xx=xend-(i-1)*dx
yy=yend
if (xx.ge.0 .and. xx.le.1 .and. yy.ge.0 .and. yy.le.1) then
surface%x(indix)=xx
surface%y(indix)=yy
indix=indix+1
end if
end do
do i=1,2**levelt
xx=xini
yy=yend-(i-1)*dy
if (xx.ge.0 .and. xx.le.1 .and. yy.ge.0 .and. yy.le.1) then
surface%x(indix)=xx
surface%y(indix)=yy
indix=indix+1
end if
end do
end do
! throwing remaining points at random
do while (indix.le.surface%nsurface)
xx=ran(seed)
yy=ran(seed)
if ((xx<sp02-10*eps .or. xx>sp03+10*eps .or. yy<sp04-10*eps .or. yy>sp05+10*eps) .or. &
(xx>sp02+10*eps .and. xx<sp03-10*eps .and. yy>sp04+10*eps .and. yy<sp05-10*eps)) then
surface%x(indix)=xx
surface%y(indix)=yy
indix=indix+1
end if
end do
else
! regular grid of points
indix=1
do j=1,2**levelt+1
do i=1,2**levelt+1
surface%x(indix)=float(i-1)*delta
surface%y(indix)=float(j-1)*delta
indix=indix+1
end do
end do
end if
case (3,4)
if (surface%rand) then
! convex hull
indix=1
do i=1,2**levelt
surface%x(indix)=(i-1)*delta
surface%y(indix)=0.d0
indix=indix+1
end do
do i=1,2**levelt
surface%x(indix)=1.d0
surface%y(indix)=(i-1)*delta
indix=indix+1
end do
do i=1,2**levelt
surface%x(indix)=1.d0-(i-1)*delta
surface%y(indix)=1.d0
indix=indix+1
end do
do i=1,2**levelt
surface%x(indix)=0.d0
surface%y(indix)=1.d0-(i-1)*delta
indix=indix+1
end do
nhull=indix-1
if (iproc.eq.0) write(8,*) 'nhull=',nhull,'on surface ',is
! placing rows of nhull points outside, in, and inside the circle
delta_angle=2.d0*pi/nhull
delta_radius=0.0025d0*sp04
do icircles=-4,2
do i=0,nhull-1
angle=i*delta_angle
surface%x(indix)=sp02+(sp04+icircles*delta_radius)*cos(angle)
surface%y(indix)=sp03+(sp04+icircles*delta_radius)*sin(angle)
indix=indix+1
end do
end do
! throwing the rest of the points at random provided they are not
! too close to the concentric circles so that it does not disturb
! the regular triangulation
do while (indix.le.surface%nsurface)
xx=ran(seed)
yy=ran(seed)
dist=sqrt((xx-sp02)**2+(yy-sp03)**2)
if (dist>(sp04+10*delta_radius) .or. dist<(sp04-10*delta_radius)) then
surface%x(indix)=xx
surface%y(indix)=yy
indix=indix+1
end if
end do
else
! regular grid of points
indix=1
do j=1,2**levelt+1
do i=1,2**levelt+1
surface%x(indix)=float(i-1)*delta
surface%y(indix)=float(j-1)*delta
indix=indix+1
end do
end do
end if
case default
call stop_run ('surface type not defined$')
end select
!-------------------------------------------|
!-----building icon array-------------------|
!-------------------------------------------|
! we use the NN library to compute the triangulation
! of points for the surface
ntmax=surface%nsurface*3
nhmax=surface%nsurface
npmax=surface%nsurface
nnpnmax=100
nmax=3*ntmax+npmax
nvmax=ntmax
allocate (points(2,surface%nsurface),stat=err) ; if (err.ne.0) call stop_run ('Error alloc points in create_surface$')
allocate (field(surface%nsurface),stat=err) ; if (err.ne.0) call stop_run ('Error alloc field in create_surface$')
allocate (vertices(3,ntmax),stat=err) ; if (err.ne.0) call stop_run ('Error alloc vertices in create_surface$')
allocate (centres(3,ntmax),stat=err) ; if (err.ne.0) call stop_run ('Error alloc centress in create_surface$')
allocate (neighbour(3,ntmax),stat=err) ; if (err.ne.0) call stop_run ('Error alloc neighbour in create_surface$')
allocate (hulltriangles(nhmax),stat=err) ; if (err.ne.0) call stop_run ('Error alloc hulltriangles in create_surface$')
allocate (vis_tlist(nvmax),stat=err) ; if (err.ne.0) call stop_run ('Error alloc vis_tlist in create_surface$')
allocate (vis_elist(nvmax),stat=err) ; if (err.ne.0) call stop_run ('Error alloc vis_elist in create_surface$')
allocate (add_tlist(nvmax),stat=err) ; if (err.ne.0) call stop_run ('Error alloc add_tlist in icreate_surface$')
allocate (lt_work(ntmax),stat=err) ; if (err.ne.0) call stop_run ('Error alloc lt_work in create_surface$')
allocate (ln_work(surface%nsurface),stat=err) ; if (err.ne.0) call stop_run ('Error alloc ln_work in create_surface$')
points(1,:)=surface%x
points(2,:)=surface%y
dmode=-2
nmode=0
loc=1
nohalt_hull=0
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
call nn2d_setup (surface%nsurface,ntmax,nhmax,npmax,nnpnmax,nmax, &
points,dmode,nmode,clockwise,field,nt,vertices, &
centres,neighbour,nh,hulltriangles,nohalt_hull, &
loc,nnn,nnlist,ntrilist, &
eps,nvmax,vis_tlist,vis_elist,add_tlist, &
lt_work,ln_work)
if (iproc.eq.0) write (8,*) 'surface ',is,' has ',nt,' triangles'
surface%icon(1:3,1:surface%nt)=vertices(1:3,1:nt)
deallocate (points)
deallocate (field)
deallocate (vertices)
deallocate (centres)
deallocate (neighbour)
deallocate (hulltriangles)
deallocate (vis_tlist)
deallocate (vis_elist)
deallocate (add_tlist)
deallocate (lt_work)
deallocate (ln_work)
!----------------------------------------------|
!----computing z coordinate--------------------|
!----------------------------------------------|
call zpoints (surface%nsurface,surface%x,surface%y,surface%z,surface_type, &
sp01,sp02,sp03,sp04,sp05,sp06,sp07,sp08,sp09,sp10)
!----------------------------------------------|
!----computing the normals---------------------|
!----------------------------------------------|
call compute_normals (surface%nsurface,surface%x,surface%y,surface%z, &
surface%nt,surface%icon,surface%xn,surface%yn,surface%zn)
if (debug>=2) call output_surf (surface,is,'init',-1,-1)
end if
end subroutine create_surf
!------------------------------------------------------------------------------|
!------------------------------------------------------------------------------|
subroutine zpoints (ns,x,y,z,surface_type, &
sp01,sp02,sp03,sp04,sp05,sp06,sp07,sp08,sp09,sp10)
!------------------------------------------------------------------------------|
!(((((((((((((((( Purpose of the routine ))))))))))))))))))))))))))))))))))))))
!------------------------------------------------------------------------------|
! knowing the two-dimensional spatial distribution of points on the plane (x,y)
! this routine computes the z-coordinate accordingly to the surface type.
! ns is the number of points
! x,y,z are the coordinates of the points
! surface_type is the type of surface under consideration
! sp01..sp10 are the surface parameters (not all are necessarily used)
!------------------------------------------------------------------------------|
!(((((((((((((((( declaration of the subroutine arguments ))))))))))))))))))))
!------------------------------------------------------------------------------|
use constants
implicit none
integer ns
double precision x(ns),y(ns),z(ns)
integer surface_type
double precision sp01,sp02,sp03,sp04,sp05,sp06,sp07,sp08,sp09,sp10
!------------------------------------------------------------------------------|
!(((((((((((((((( declaration of the subroutine internal variables )))))))))))))
!------------------------------------------------------------------------------|
integer i
double precision delta,dist,ran,m,x1a,x1b,x2a,x2b,y1a,y1b,y2a,y2b,zx
double precision psi,theta1,theta2,theta1s,theta2s,psis,y0s,y1s,y2s,x0,y0w
double precision y0a,y0b,y0,y1,y2,a1,b1,bb1,c1,m1,a2,b2,bb2,c2,m2,a3,b3,bb3,c3
double precision m3,a4,b4,bb4,c4,m4
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
!------------------------------------------------------------------------------|
!------------------------------------------------------------------------------|
select case(surface_type)
case (1)
! a flat surface,
! sp01 is the z level
z=sp01
case (2)
! rectangular emboss,
! sp01 is the z level
! sp02 and 03 are x1,x2
! sp04 and 05 are y1,y2
! sp06 is the thickness
do i=1,ns
if ((x(i)-sp02)*(x(i)-sp03).le.0.d0 .and. (y(i)-sp04)*(y(i)-sp05).le.0.d0) then
z(i)=sp01-sp06
else
z(i)=sp01
end if
end do
case (3)
! convex spherical emboss,
! sp01 is the z level
! sp02 and 03 are x0,y0
! sp04 is the radius
do i=1,ns
dist=sqrt((x(i)-sp02)**2+(y(i)-sp03)**2)
if (dist.le.sp04) then
z(i)=sp01+sp04*sin(acos(dist/sp04))
else
z(i)=sp01
endif
end do
case (4)
! convex spherical emboss,
! sp01 is the z level
! sp02 and 03 are x0,y0
! sp04 is the radius
do i=1,ns
dist=sqrt((x(i)-sp02)**2+(y(i)-sp03)**2)
if (dist.le.sp04) then
z(i)=sp01-sp04*sin(acos(dist/sp04))
else
z(i)=sp01
endif
end do
case (5)
! double rectangular emboss,
! sp01 is the z level
! sp02 and 03 are x1,x2
! sp04 and 05 are x3,x4
! sp06 and 07 are y1,y2
! sp08 and 09 are y3,y4
! sp10 is the thickness
z=sp01
do i=1,ns
if ((x(i)-sp02)*(x(i)-sp03).le.0.d0 .and. (y(i)-sp06)*(y(i)-sp07).le.0.d0) then
z(i)=z(i)-sp10
endif
if ((x(i)-sp04)*(x(i)-sp05).le.0.d0 .and. (y(i)-sp08)*(y(i)-sp09).le.0.d0) then
z(i)=z(i)-sp10
endif
end do
case (6)
! a sinus,
! sp01 is the z level
! sp02 is the wavelength
! sp03 is the amplitude
do i=1,ns
z(i)=sp01+sp03*sin(x(i)*2.d0*pi/sp02)
end do
case (7)
! a noisy surface,
! sp01 is the z level
! sp02 is the noise amplitude
do i=1,ns
call random_number (ran)
z(i)=sp01+ran*sp02
end do
case (8)
! a double sinus.
! sp01 is the z level
! sp02 is the x-wavelength
! sp03 is the x-amplitude
! sp04 is the y-wavelength
! sp05 is the y-amplitude
do i=1,ns
z(i)=sp01+sp03*sin(x(i)*2.*pi/sp02)+sp05*sin(y(i)*2.*pi/sp04)
end do
case (9)
! a cosinus,
! sp01 is the z level
! sp02 is the wavelength
! sp03 is the amplitude
do i=1,ns
z(i)=sp01+sp03*cos(x(i)*2.d0*pi/sp02)
end do
case (10)
! a 2D embankment
! sp01 is z0
! sp02 is y0
! sp03 is psi
! sp04 is the thickness
do i=1,ns
if (y(i)<sp02) then
z(i)=sp01
else
z(i)=sp01+min((y(i)-sp02)*tan(sp03*pi/180.d0),sp04)
end if
end do
case (11)
! a 2D hill
! sp01 is z level
! sp02 height
! sp03 is y0
! sp04 is width
do i=1,ns
if (y(i)>sp03-sp04/2.d0 .and. y(i)<sp03+sp04/2.d0) then
z(i)=sp01+sp02*(sin(pi*((y(i)-sp03)/sp04+0.5d0)))**2
else
z(i)=sp01
end if
end do
case (12)
! rectangular emboss with specified slope,
! sp01 is the z level
! sp02 and 03 are x1,x2
! sp04 and 05 are y1,y2
! sp06 is the thickness
! sp07 is the slope
m=tan(sp07*pi/180.d0)
x1a=sp02+(sp06/(2.d0*m))
x1b=sp02-(sp06/(2.d0*m))
x2a=sp03+(sp06/(2.d0*m))
x2b=sp03-(sp06/(2.d0*m))
y1a=sp04+(sp06/(2.d0*m))
y1b=sp04-(sp06/(2.d0*m))
y2a=sp05+(sp06/(2.d0*m))
y2b=sp05-(sp06/(2.d0*m))
do i=1,ns
if (x(i).le.x1a) then
zx=sp01
elseif (x(i).le.x1b) then
elseif (x(i).le.x2a) then
zx=sp01-sp06
elseif (x(i).le.x2b) then
else
zx=sp01
endif
if (y(i).le.y1a) then
z(i)=sp01
elseif (y(i).le.y1b) then
elseif (y(i).le.y2a) then
z(i)=min(sp01-sp06,zx)
elseif (y(i).le.y2b) then
else
z(i)=sp01
endif
end do
case (13)
! a 2D embankment of finite length and with 2 kinks
! sp01 is the z level
! sp02 is the thickness (zthick)
! sp03 is slope angle (psi)
! sp04 is x value for the center of the slope (x0)
! sp05 is the x width of the narrow end of the plateau (y0w)
! sp06 is the y position for the start of the slope (y0)
! sp07 is the y position of the first kink (y1)
! sp08 is the angle of the first kink (theta1)
! sp09 is the y position of the second kink (y2)
! sp10 is the angle of the second kink (theta2)
psi=sp03*pi/180.d0
theta1=sp08*pi/180.d0
!theta2=sp10*pi/180.d0
theta2=0.d0
psis=tan(psi)
theta1s=tan(theta1)
theta2s=tan(theta2)
y0s=1.d0
y1s=tan(theta1/2.d0)
y2s=tan((theta1+theta2)/2.d0)
x0=sp04
y0w=sp05
y0=sp06
y0a=y0+(abs(sp02)/(2.d0*psis))
y0b=y0-(abs(sp02)/(2.d0*psis))
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
m1=((y2+(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0))-&
(y1+(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0)))/&
((x0-y0w-(y1-y2)*theta1s-(abs(sp02)/(2.d0*psis)))-&
(x0-y0w-(abs(sp02)/(2.d0*psis))))
bb1=(y1+(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0))-m1*(x0-y0w-(abs(sp02)/(2.d0*psis)))
a1=-m1
b1=1
c1=-bb1
m2=((y2-(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0))-&
(y1-(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0)))/&
((x0-y0w-(y1-y2)*theta1s+(abs(sp02)/(2.d0*psis)))-&
(x0-y0w+(abs(sp02)/(2.d0*psis))))
bb2=(y1-(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0))-m1*(x0-y0w+(abs(sp02)/(2.d0*psis)))
a2=-m2
b2=1
c2=-bb2
m3=((y2-(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0))-&
(y1-(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0)))/&
((x0+y0w+(y1-y2)*theta1s-(abs(sp02)/(2.d0*psis)))-&
(x0+y0w-(abs(sp02)/(2.d0*psis))))
bb3=(y1-(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0))-m3*(x0+y0w-(abs(sp02)/(2.d0*psis)))
a3=-m3
b3=1
c3=-bb3
m4=((y2+(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0))-&
(y1+(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0)))/&
((x0+y0w+(y1-y2)*theta1s+(abs(sp02)/(2.d0*psis)))-&
(x0+y0w+(abs(sp02)/(2.d0*psis))))
bb4=(y1+(abs(sp02)/(2.d0*psis))*tan(theta1/2.d0))-m3*(x0+y0w+(abs(sp02)/(2.d0*psis)))
a4=-m4
b4=1
c4=-bb4
do i=1,ns
z(i)=sp01
if (y(i).ge.-y0s*x(i)+(y0+(x0-y0w)) .and. y(i).ge.y0s*x(i)+(y0-(x0+y0w))) then
if (y(i).lt.y0a .and. y(i).ge.y0b) then
z(i)=sp01+(((y(i)-y0a)/(-abs(sp02)/psis))*sp02)
z(i)=sp01+sp02+(x(i)-((x0-y0w-(y1-y2)*theta1s)+(abs(sp02)/(2.d0*psis))))*sp10
endif
elseif (y(i).ge.-y1s*x(i)+(y1s*(x0-y0w)+y1) .and. y(i).ge.y1s*x(i)+(-y1s*(x0+y0w)+y1)) then
if (x(i).ge.((x0-y0w)-(abs(sp02)/(2.d0*psis))) .and. x(i).lt.((x0-y0w)+(abs(sp02)/(2.d0*psis)))) then
z(i)=sp01+(((x(i)-((x0-y0w)-(abs(sp02)/(2.d0*psis))))/(abs(sp02)/psis))*sp02)
elseif (x(i).ge.((x0-y0w)+(abs(sp02)/(2.d0*psis))) .and. x(i).lt.((x0+y0w)-(abs(sp02)/(2.d0*psis)))) then
z(i)=sp01+sp02+(x(i)-((x0-y0w-(y1-y2)*theta1s)+(abs(sp02)/(2.d0*psis))))*sp10
elseif (x(i).ge.((x0+y0w)-(abs(sp02)/(2.d0*psis))) .and. x(i).lt.((x0+y0w)+(abs(sp02)/(2.d0*psis)))) then
z(i)=sp01+(((x(i)-((x0+y0w)+(abs(sp02)/(2.d0*psis))))/(-abs(sp02)/psis))*sp02)
endif
elseif (y(i).ge.-y2s*x(i)+(y2s*(x0-y0w-(y1-y2)*theta1s)+y2) .and. y(i).ge.y2s*x(i)+(-y2s*(x0+y0w+(y1-y2)*theta1s)+y2)) then
!if (y(i).ge.(theta1s*x(i)+(y1-theta1s*(x0-y0w)))-((1+y1s)*(abs(sp02)/(2.d0*psis))) .and. y(i).lt.(theta1s*x(i)+(y1-theta1s*(x0-y0w)))+((1+y1s)*(abs(sp02)/(2.d0*psis)))) then
if (y(i).ge.m2*x(i)+bb2 .and. y(i).lt.m1*x(i)+bb1) then
dist=abs(a1*x(i)+b1*y(i)+c1)/sqrt(a1**2.d0+b1**2.d0)
z(i)=sp01+dist/(abs(sp02)/psis)*sp02
!elseif (y(i).lt.(theta1s*x(i)+(y1-theta1s*(x0-y0w)))-((1+y1s)*(abs(sp02)/(2.d0*psis))) .and. y(i).lt.(-theta1s*x(i)+(y1+theta1s*(x0+y0w)))-((1+y1s)*(abs(sp02)/(2.d0*psis)))) then
elseif (y(i).lt.m2*x(i)+bb2 .and. y(i).lt.m3*x(i)+bb3) then
z(i)=sp01+sp02+(x(i)-((x0-y0w-(y1-y2)*theta1s)+(abs(sp02)/(2.d0*psis))))*sp10
!elseif (y(i).ge.(-theta1s*x(i)+(y1+theta1s*(x0+y0w)))-((1+y1s)*(abs(sp02)/(2.d0*psis))) .and. y(i).lt.(-theta1s*x(i)+(y1+theta1s*(x0+y0w)))+((1+y1s)*(abs(sp02)/(2.d0*psis)))) then
elseif (y(i).ge.m3*x(i)+bb3 .and. y(i).lt.m4*x(i)+bb4) then
dist=abs(a4*x(i)+b4*y(i)+c4)/sqrt(a4**2.d0+b4**2.d0)
z(i)=sp01+dist/(abs(sp02)/psis)*sp02
elseif (x(i).ge.((x0-y0w-(y1-y2)*theta1s)-(abs(sp02)/(2.d0*psis))) .and. x(i).lt.((x0-y0w-(y1-y2)*theta1s)+(abs(sp02)/(2.d0*psis)))) then
z(i)=sp01+(((x(i)-((x0-y0w-(y1-y2)*theta1s)-(abs(sp02)/(2.d0*psis))))/(abs(sp02)/psis))*sp02)
elseif (x(i).ge.((x0-y0w-(y1-y2)*theta1s)+(abs(sp02)/(2.d0*psis))) .and. x(i).lt.((x0+y0w+(y1-y2)*theta1s)-(abs(sp02)/(2.d0*psis)))) then
z(i)=sp01+sp02+(x(i)-((x0-y0w-(y1-y2)*theta1s)+(abs(sp02)/(2.d0*psis))))*sp10
elseif (x(i).ge.((x0+y0w+(y1-y2)*theta1s)-(abs(sp02)/(2.d0*psis))) .and. x(i).lt.((x0+y0w+(y1-y2)*theta1s)+(abs(sp02)/(2.d0*psis)))) then
z(i)=sp01+(((x(i)-((x0+y0w+(y1-y2)*theta1s)+(abs(sp02)/(2.d0*psis))))/(-abs(sp02)/psis))*sp02)
else
z(i)=sp01
endif
enddo
case default
call stop_run ('surface type not defined$')
end select
return
end