-
Notifications
You must be signed in to change notification settings - Fork 120
/
index_search.h
427 lines (383 loc) · 14.2 KB
/
index_search.h
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
#ifndef _INDEX_SEARCH_H
#define _INDEX_SEARCH_H
#ifdef __cplusplus
extern "C" {
#endif
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define CHECKERROR(res) do {if (res != SUCCESS) return res;} while (0)
#ifdef DOUBLE_COORD_VARIABLES
typedef double type_coord;
#else
typedef float type_coord;
#endif
typedef enum
{
LINEAR=0, NEAREST=1, CGRID_VELOCITY=2, CGRID_TRACER=3, BGRID_VELOCITY=4, BGRID_W_VELOCITY=5, BGRID_TRACER=6,
} InterpCode;
typedef struct
{
int gtype;
void *grid;
} CGrid;
typedef struct
{
int xdim, ydim, zdim, tdim, z4d;
int sphere_mesh, zonal_periodic;
int *chunk_info;
int *load_chunk;
double tfull_min, tfull_max;
int* periods;
float *lonlat_minmax;
float *lon, *lat, *depth;
double *time;
} CStructuredGrid;
typedef enum
{
SUCCESS=0, EVALUATE=1, REPEAT=2, DELETE=3, STOP_EXECUTION=4, ERROR=5, ERROR_INTERPOLATION=51, ERROR_OUT_OF_BOUNDS=6, ERROR_THROUGH_SURFACE=61, ERROR_TIME_EXTRAPOLATION=7
} ErrorCode;
typedef enum
{
RECTILINEAR_Z_GRID=0, RECTILINEAR_S_GRID=1, CURVILINEAR_Z_GRID=2, CURVILINEAR_S_GRID=3
} GridCode;
static inline ErrorCode search_indices_vertical_z(type_coord z, int zdim, float *zvals, int *zi, double *zeta)
{
if (z < zvals[0]) {return ERROR_THROUGH_SURFACE;}
if (z > zvals[zdim-1]) {return ERROR_OUT_OF_BOUNDS;}
while (*zi < zdim-1 && z > zvals[*zi+1]) ++(*zi);
while (*zi > 0 && z < zvals[*zi]) --(*zi);
if (*zi == zdim-1) {--*zi;}
*zeta = (z - zvals[*zi]) / (zvals[*zi+1] - zvals[*zi]);
return SUCCESS;
}
static inline ErrorCode search_indices_vertical_s(type_coord z, int xdim, int ydim, int zdim, float *zvals,
int xi, int yi, int *zi, double xsi, double eta, double *zeta,
int z4d, int ti, int tdim, double time, double t0, double t1, int interp_method)
{
if (interp_method == BGRID_VELOCITY || interp_method == BGRID_W_VELOCITY || interp_method == BGRID_TRACER){
xsi = 1;
eta = 1;
}
float zcol[zdim];
int zii;
if (z4d == 1){
float (*zvalstab)[zdim][ydim][xdim] = (float (*)[zdim][ydim][xdim]) zvals;
int ti1 = ti;
if (ti < tdim-1)
ti1= ti+1;
double zt0, zt1;
for (zii=0; zii < zdim; zii++){
zt0 = (1-xsi)*(1-eta) * zvalstab[ti ][zii][yi ][xi ]
+ ( xsi)*(1-eta) * zvalstab[ti ][zii][yi ][xi+1]
+ ( xsi)*( eta) * zvalstab[ti ][zii][yi+1][xi+1]
+ (1-xsi)*( eta) * zvalstab[ti ][zii][yi+1][xi ];
zt1 = (1-xsi)*(1-eta) * zvalstab[ti1][zii][yi ][xi ]
+ ( xsi)*(1-eta) * zvalstab[ti1][zii][yi ][xi+1]
+ ( xsi)*( eta) * zvalstab[ti1][zii][yi+1][xi+1]
+ (1-xsi)*( eta) * zvalstab[ti1][zii][yi+1][xi ];
zcol[zii] = zt0 + (zt1 - zt0) * (float)((time - t0) / (t1 - t0));
}
}
else{
float (*zvalstab)[ydim][xdim] = (float (*)[ydim][xdim]) zvals;
for (zii=0; zii < zdim; zii++){
zcol[zii] = (1-xsi)*(1-eta) * zvalstab[zii][yi ][xi ]
+ ( xsi)*(1-eta) * zvalstab[zii][yi ][xi+1]
+ ( xsi)*( eta) * zvalstab[zii][yi+1][xi+1]
+ (1-xsi)*( eta) * zvalstab[zii][yi+1][xi ];
}
}
if (z < zcol[0]) {return ERROR_THROUGH_SURFACE;}
if (z > zcol[zdim-1]) {return ERROR_OUT_OF_BOUNDS;}
while (*zi < zdim-1 && z > zcol[*zi+1]) ++(*zi);
while (*zi > 0 && z < zcol[*zi]) --(*zi);
if (*zi == zdim-1) {--*zi;}
*zeta = (z - zcol[*zi]) / (zcol[*zi+1] - zcol[*zi]);
return SUCCESS;
}
static inline void reconnect_bnd_indices(int *xi, int *yi, int xdim, int ydim, int onlyX, int sphere_mesh)
{
if (*xi < 0){
if (sphere_mesh)
(*xi) = xdim-2;
else
(*xi) = 0;
}
if (*xi > xdim-2){
if (sphere_mesh)
(*xi) = 0;
else
(*xi) = xdim-2;
}
if (onlyX == 0){
if (*yi < 0){
(*yi) = 0;
}
if (*yi > ydim-2){
(*yi) = ydim-2;
if (sphere_mesh)
(*xi) = xdim - (*xi);
}
}
}
static inline ErrorCode search_indices_rectilinear(type_coord x, type_coord y, type_coord z, CStructuredGrid *grid, GridCode gcode,
int *xi, int *yi, int *zi, double *xsi, double *eta, double *zeta,
int ti, double time, double t0, double t1, int interp_method)
{
int xdim = grid->xdim;
int ydim = grid->ydim;
int zdim = grid->zdim;
int tdim = grid->tdim;
float *xvals = grid->lon;
float *yvals = grid->lat;
float *zvals = grid->depth;
float *xy_minmax = grid->lonlat_minmax;
int sphere_mesh = grid->sphere_mesh;
int zonal_periodic = grid->zonal_periodic;
int z4d = grid->z4d;
if (zonal_periodic == 0){
if ((x < xy_minmax[0]) || (x > xy_minmax[1]))
return ERROR_OUT_OF_BOUNDS;
}
if ((y < xy_minmax[2]) || (y > xy_minmax[3]))
return ERROR_OUT_OF_BOUNDS;
if (sphere_mesh == 0){
while (*xi < xdim-1 && x > xvals[*xi+1]) ++(*xi);
while (*xi > 0 && x < xvals[*xi]) --(*xi);
*xsi = (x - xvals[*xi]) / (xvals[*xi+1] - xvals[*xi]);
}
else{
float xvalsi = xvals[*xi];
// TODO: this will fail if longitude is e.g. only [-180, 180] (so length 2)
if (xvalsi < x - 225) xvalsi += 360;
if (xvalsi > x + 225) xvalsi -= 360;
float xvalsi1 = xvals[*xi+1];
if (xvalsi1 < xvalsi - 180) xvalsi1 += 360;
if (xvalsi1 > xvalsi + 180) xvalsi1 -= 360;
int itMax = 10000;
int it = 0;
while ( (xvalsi > x) || (xvalsi1 < x) ){
if (xvalsi1 < x)
++(*xi);
else if (xvalsi > x)
--(*xi);
reconnect_bnd_indices(xi, yi, xdim, ydim, 1, 1);
xvalsi = xvals[*xi];
if (xvalsi < x - 225) xvalsi += 360;
if (xvalsi > x + 225) xvalsi -= 360;
xvalsi1 = xvals[*xi+1];
if (xvalsi1 < xvalsi - 180) xvalsi1 += 360;
if (xvalsi1 > xvalsi + 180) xvalsi1 -= 360;
it++;
if (it > itMax){
return ERROR_OUT_OF_BOUNDS;
}
}
*xsi = (x - xvalsi) / (xvalsi1 - xvalsi);
}
while (*yi < ydim-1 && y > yvals[*yi+1]) ++(*yi);
while (*yi > 0 && y < yvals[*yi]) --(*yi);
*eta = (y - yvals[*yi]) / (yvals[*yi+1] - yvals[*yi]);
ErrorCode err;
if (zdim > 1){
switch(gcode){
case RECTILINEAR_Z_GRID:
err = search_indices_vertical_z(z, zdim, zvals, zi, zeta);
break;
case RECTILINEAR_S_GRID:
err = search_indices_vertical_s(z, xdim, ydim, zdim, zvals,
*xi, *yi, zi, *xsi, *eta, zeta,
z4d, ti, tdim, time, t0, t1, interp_method);
break;
default:
err = ERROR_INTERPOLATION;
}
CHECKERROR(err);
}
else
*zeta = 0;
if ( (*xsi < 0) || (*xsi > 1) ) return ERROR_INTERPOLATION;
if ( (*eta < 0) || (*eta > 1) ) return ERROR_INTERPOLATION;
if ( (*zeta < 0) || (*zeta > 1) ) return ERROR_INTERPOLATION;
return SUCCESS;
}
static inline ErrorCode search_indices_curvilinear(type_coord x, type_coord y, type_coord z, CStructuredGrid *grid, GridCode gcode,
int *xi, int *yi, int *zi, double *xsi, double *eta, double *zeta,
int ti, double time, double t0, double t1, int interp_method)
{
int xi_old = *xi;
int yi_old = *yi;
int xdim = grid->xdim;
int ydim = grid->ydim;
int zdim = grid->zdim;
int tdim = grid->tdim;
float *xvals = grid->lon;
float *yvals = grid->lat;
float *zvals = grid->depth;
float *xy_minmax = grid->lonlat_minmax;
int sphere_mesh = grid->sphere_mesh;
int zonal_periodic = grid->zonal_periodic;
int z4d = grid->z4d;
// NEMO convention
float (* xgrid)[xdim] = (float (*)[xdim]) xvals;
float (* ygrid)[xdim] = (float (*)[xdim]) yvals;
if (zonal_periodic == 0){
if ((x < xy_minmax[0]) || (x > xy_minmax[1])){
if (xgrid[0][0] < xgrid[0][xdim-1]) {return ERROR_OUT_OF_BOUNDS;}
else if (x < xgrid[0][0] && x > xgrid[0][xdim-1]) {return ERROR_OUT_OF_BOUNDS;}
}
}
if ((y < xy_minmax[2]) || (y > xy_minmax[3]))
return ERROR_OUT_OF_BOUNDS;
double a[4], b[4];
*xsi = *eta = -1;
int maxIterSearch = 1e6, it = 0;
double tol = 1e-10;
while ( (*xsi < -tol) || (*xsi > 1+tol) || (*eta < -tol) || (*eta > 1+tol) ){
double xgrid_loc[4] = {xgrid[*yi][*xi], xgrid[*yi][*xi+1], xgrid[*yi+1][*xi+1], xgrid[*yi+1][*xi]};
if (sphere_mesh){ //we are on the sphere
int i4;
if (xgrid_loc[0] < x - 225) xgrid_loc[0] += 360;
if (xgrid_loc[0] > x + 225) xgrid_loc[0] -= 360;
for (i4 = 1; i4 < 4; ++i4){
if (xgrid_loc[i4] < xgrid_loc[0] - 180) xgrid_loc[i4] += 360;
if (xgrid_loc[i4] > xgrid_loc[0] + 180) xgrid_loc[i4] -= 360;
}
}
double ygrid_loc[4] = {ygrid[*yi][*xi], ygrid[*yi][*xi+1], ygrid[*yi+1][*xi+1], ygrid[*yi+1][*xi]};
a[0] = xgrid_loc[0];
a[1] = -xgrid_loc[0] + xgrid_loc[1];
a[2] = -xgrid_loc[0] + xgrid_loc[3];
a[3] = xgrid_loc[0] - xgrid_loc[1] + xgrid_loc[2] - xgrid_loc[3];
b[0] = ygrid_loc[0];
b[1] = -ygrid_loc[0] + ygrid_loc[1];
b[2] = -ygrid_loc[0] + ygrid_loc[3];
b[3] = ygrid_loc[0] - ygrid_loc[1] + ygrid_loc[2] - ygrid_loc[3];
double aa = a[3]*b[2] - a[2]*b[3];
double bb = a[3]*b[0] - a[0]*b[3] + a[1]*b[2] - a[2]*b[1] + x*b[3] - y*a[3];
double cc = a[1]*b[0] - a[0]*b[1] + x*b[1] - y*a[1];
if (fabs(aa) < 1e-12) // Rectilinear cell, or quasi
*eta = -cc / bb;
else{
double det = sqrt(bb*bb-4*aa*cc);
if (det == det) // so, if det is nan we keep the xsi, eta from previous iter
*eta = (-bb+det)/(2*aa);
}
if ( fabs(a[1]+a[3]*(*eta)) < 1e-12 ) // this happens when recti cell rotated of 90deg
*xsi = ( (y-ygrid_loc[0]) / (ygrid_loc[1]-ygrid_loc[0]) +
(y-ygrid_loc[3]) / (ygrid_loc[2]-ygrid_loc[3]) ) * .5;
else
*xsi = (x-a[0]-a[2]* (*eta)) / (a[1]+a[3]* (*eta));
if ( (*xsi < 0) && (*eta < 0) && (*xi == 0) && (*yi == 0) )
return ERROR_OUT_OF_BOUNDS;
if ( (*xsi > 1) && (*eta > 1) && (*xi == xdim-1) && (*yi == ydim-1) )
return ERROR_OUT_OF_BOUNDS;
if (*xsi < -tol)
(*xi)--;
if (*xsi > 1+tol)
(*xi)++;
if (*eta < -tol)
(*yi)--;
if (*eta > 1+tol)
(*yi)++;
reconnect_bnd_indices(xi, yi, xdim, ydim, 0, sphere_mesh);
it++;
if ( it > maxIterSearch){
printf("Correct cell not found for (%f, %f) after %d iterations\n", x, y, maxIterSearch);
printf("Debug info: old particle indices: (yi, xi) %d %d\n", yi_old, xi_old);
printf(" new particle indices: (yi, xi) %d %d\n", *yi, *xi);
printf(" Mesh 2d shape: %d %d\n", ydim, xdim);
printf(" Relative particle position: (xsi, eta) %1.16e %1.16e\n", *xsi, *eta);
return ERROR_OUT_OF_BOUNDS;
}
}
if ( (*xsi != *xsi) || (*eta != *eta) ){ // check if nan
printf("Correct cell not found for (%f, %f))\n", x, y);
printf("Debug info: old particle indices: (yi, xi) %d %d\n", yi_old, xi_old);
printf(" new particle indices: (yi, xi) %d %d\n", *yi, *xi);
printf(" Mesh 2d shape: %d %d\n", ydim, xdim);
printf(" Relative particle position: (xsi, eta) %1.16e %1.16e\n", *xsi, *eta);
return ERROR_OUT_OF_BOUNDS;
}
if (*xsi < 0) *xsi = 0;
if (*xsi > 1) *xsi = 1;
if (*eta < 0) *eta = 0;
if (*eta > 1) *eta = 1;
ErrorCode err;
if (zdim > 1){
switch(gcode){
case CURVILINEAR_Z_GRID:
err = search_indices_vertical_z(z, zdim, zvals, zi, zeta);
break;
case CURVILINEAR_S_GRID:
err = search_indices_vertical_s(z, xdim, ydim, zdim, zvals,
*xi, *yi, zi, *xsi, *eta, zeta,
z4d, ti, tdim, time, t0, t1, interp_method);
break;
default:
err = ERROR_INTERPOLATION;
}
CHECKERROR(err);
}
else
*zeta = 0;
if ( (*xsi < 0) || (*xsi > 1) ) return ERROR_INTERPOLATION;
if ( (*eta < 0) || (*eta > 1) ) return ERROR_INTERPOLATION;
if ( (*zeta < 0) || (*zeta > 1) ) return ERROR_INTERPOLATION;
return SUCCESS;
}
/* Local linear search to update grid index
* params ti, sizeT, time. t0, t1 are only used for 4D S grids
* */
static inline ErrorCode search_indices(type_coord x, type_coord y, type_coord z, CStructuredGrid *grid,
int *xi, int *yi, int *zi, double *xsi, double *eta, double *zeta,
GridCode gcode, int ti, double time, double t0, double t1, int interp_method)
{
switch(gcode){
case RECTILINEAR_Z_GRID:
case RECTILINEAR_S_GRID:
return search_indices_rectilinear(x, y, z, grid, gcode, xi, yi, zi, xsi, eta, zeta,
ti, time, t0, t1, interp_method);
break;
case CURVILINEAR_Z_GRID:
case CURVILINEAR_S_GRID:
return search_indices_curvilinear(x, y, z, grid, gcode, xi, yi, zi, xsi, eta, zeta,
ti, time, t0, t1, interp_method);
break;
default:
printf("Only RECTILINEAR_Z_GRID, RECTILINEAR_S_GRID, CURVILINEAR_Z_GRID and CURVILINEAR_S_GRID grids are currently implemented\n");
return ERROR;
}
}
/* Local linear search to update time index */
static inline ErrorCode search_time_index(double *t, int size, double *tvals, int *ti, int time_periodic, double tfull_min, double tfull_max, int *periods)
{
if (*ti < 0)
*ti = 0;
if (time_periodic == 1){
if (*t < tvals[0]){
*ti = size-1;
*periods = (int) floor( (*t-tfull_min)/(tfull_max-tfull_min));
*t -= *periods * (tfull_max-tfull_min);
if (*t < tvals[0]){ // e.g. t=5, tfull_min=0, t_full_max=5 -> periods=1 but we want periods = 0
*periods -= 1;
*t -= *periods * (tfull_max-tfull_min);
}
search_time_index(t, size, tvals, ti, time_periodic, tfull_min, tfull_max, periods);
}
else if (*t > tvals[size-1]){
*ti = 0;
*periods = (int) floor( (*t-tfull_min)/(tfull_max-tfull_min));
*t -= *periods * (tfull_max-tfull_min);
search_time_index(t, size, tvals, ti, time_periodic, tfull_min, tfull_max, periods);
}
}
while (*ti < size-1 && *t > tvals[*ti+1]) ++(*ti);
while (*ti > 0 && *t < tvals[*ti]) --(*ti);
return SUCCESS;
}
#ifdef __cplusplus
}
#endif
#endif