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index_search.h
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index_search.h
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#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)
typedef enum
{
SUCCESS=0, REPEAT=1, DELETE=2, ERROR=3, ERROR_OUT_OF_BOUNDS=4, ERROR_TIME_EXTRAPOLATION =5
} 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(float z, int zdim, float *zvals, int *zi, double *zeta)
{
if (z < zvals[0] || 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(float 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)
{
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] || 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(float x, float y, float z, int xdim, int ydim, int zdim,
float *xvals, float *yvals, float *zvals, int sphere_mesh, int zonal_periodic, GridCode gcode,
int *xi, int *yi, int *zi, double *xsi, double *eta, double *zeta,
int z4d, int ti, int tdim, double time, double t0, double t1)
{
if (sphere_mesh == 0){
if (x < xvals[0] || x > xvals[xdim-1]) {return ERROR_OUT_OF_BOUNDS;}
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{
if (zonal_periodic == 0){
if ((xvals[0] < xvals[xdim-1]) && (x < xvals[0] || x > xvals[xdim-1])) {return ERROR_OUT_OF_BOUNDS;}
else if ((xvals[0] >= xvals[xdim-1]) && (x < xvals[0] && x > xvals[xdim-1])) {return ERROR_OUT_OF_BOUNDS;}
}
float xvalsi = xvals[*xi];
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);
}
if (y < yvals[0] || y > yvals[ydim-1]) {return ERROR_OUT_OF_BOUNDS;}
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);
break;
default:
err = ERROR;
}
CHECKERROR(err);
}
else
*zeta = 0;
if ( (*xsi < 0) || (*xsi > 1) ) return ERROR_OUT_OF_BOUNDS;
if ( (*eta < 0) || (*eta > 1) ) return ERROR_OUT_OF_BOUNDS;
if ( (*zeta < 0) || (*zeta > 1) ) return ERROR_OUT_OF_BOUNDS;
return SUCCESS;
}
static inline ErrorCode search_indices_curvilinear(float x, float y, float z, int xdim, int ydim, int zdim,
float *xvals, float *yvals, float *zvals, int sphere_mesh, int zonal_periodic, GridCode gcode,
int *xi, int *yi, int *zi, double *xsi, double *eta, double *zeta,
int z4d, int ti, int tdim, double time, double t0, double t1)
{
// NEMO convention
float (* xgrid)[xdim] = (float (*)[xdim]) xvals;
float (* ygrid)[xdim] = (float (*)[xdim]) yvals;
if (zonal_periodic == 0 || sphere_mesh == 0) {
if ((xgrid[0][0] < xgrid[0][xdim-1]) && (x < xgrid[0][0] || x > xgrid[0][xdim-1])) {return ERROR_OUT_OF_BOUNDS;}
else if ((xgrid[0][0] >= xgrid[0][xdim-1]) && (x < xgrid[0][0] && x > xgrid[0][xdim-1])) {return ERROR_OUT_OF_BOUNDS;}
}
double a[4], b[4];
*xsi = *eta = -1;
int maxIterSearch = 1e6, it = 0;
while ( (*xsi < 0) || (*xsi > 1) || (*eta < 0) || (*eta > 1) ){
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 < 0)
(*xi)--;
if (*xsi > 1)
(*xi)++;
if (*eta < 0)
(*yi)--;
if (*eta > 1)
(*yi)++;
reconnect_bnd_indices(xi, yi, xdim, ydim, 0, sphere_mesh);
it++;
if ( it > maxIterSearch){
printf("Correct cell not found after %d iterations\n", maxIterSearch);
return ERROR_OUT_OF_BOUNDS;
}
}
if ( (*xsi != *xsi) || (*eta != *eta) ){ // check if nan
printf("xsi and or eta are nan values\n");
return ERROR_OUT_OF_BOUNDS;
}
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);
break;
default:
err = ERROR;
}
CHECKERROR(err);
}
else
*zeta = 0;
if ( (*xsi < 0) || (*xsi > 1) ) return ERROR_OUT_OF_BOUNDS;
if ( (*eta < 0) || (*eta > 1) ) return ERROR_OUT_OF_BOUNDS;
if ( (*zeta < 0) || (*zeta > 1) ) return ERROR_OUT_OF_BOUNDS;
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(float x, float y, float z, int xdim, int ydim, int zdim,
float *xvals, float *yvals, float *zvals,
int *xi, int *yi, int *zi, double *xsi, double *eta, double *zeta,
int sphere_mesh, int zonal_periodic,
GridCode gcode, int z4d,
int ti, int tdim, double time, double t0, double t1)
{
switch(gcode){
case RECTILINEAR_Z_GRID:
case RECTILINEAR_S_GRID:
return search_indices_rectilinear(x, y, z, xdim, ydim, zdim, xvals, yvals, zvals, sphere_mesh, zonal_periodic, gcode, xi, yi, zi, xsi, eta, zeta,
z4d, ti, tdim, time, t0, t1);
break;
case CURVILINEAR_Z_GRID:
case CURVILINEAR_S_GRID:
return search_indices_curvilinear(x, y, z, xdim, ydim, zdim, xvals, yvals, zvals, sphere_mesh, zonal_periodic, gcode, xi, yi, zi, xsi, eta, zeta,
z4d, ti, tdim, time, t0, t1);
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)
{
if (*ti < 0)
*ti = 0;
if (time_periodic == 1){
if (*t < tvals[0]){
*ti = size-1;
int periods = floor( (*t-tvals[0])/(tvals[size-1]-tvals[0]));
*t -= periods * (tvals[size-1]-tvals[0]);
search_time_index(t, size, tvals, ti, time_periodic);
}
else if (*t > tvals[size-1]){
*ti = 0;
int periods = floor( (*t-tvals[0])/(tvals[size-1]-tvals[0]));
*t -= periods * (tvals[size-1]-tvals[0]);
search_time_index(t, size, tvals, ti, time_periodic);
}
}
while (*ti < size-1 && *t >= tvals[*ti+1]) ++(*ti);
while (*ti > 0 && *t < tvals[*ti]) --(*ti);
return SUCCESS;
}
#ifdef __cplusplus
}
#endif
#endif