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interpolation_trilinear.cpp
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interpolation_trilinear.cpp
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/*
This file is part of QSL Squasher.
Copyright (C) 2014-2019 Svetlin Tassev
Harvard-Smithsonian Center for Astrophysics
Braintree High School
QSL Squasher is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
VEX_FUNCTION(cl_double4, interp_trilinear, (double, x)(double, y)(double,z)(cl_double4*, B)(cl_double4*, ff)(cl_ushort4, ind),
DEFS();
double a=1.0;
if (ind.s3 == 0) a=1e-9;
#ifdef PERIODIC_XY
x=fmod(x-ff[0].s0+ff[nx-1].s0-ff[0].s0,ff[nx-1].s0-ff[0].s0)+ff[0].s0;
y=fmod(y-ff[0].s1+ff[ny-1].s1-ff[0].s1,ff[ny-1].s1-ff[0].s1)+ff[0].s1;
#else
#ifndef GLOBAL_MODEL
if (x<=ff[0].s0)
x=ff[0].s0+1.e-4;
if (x>=ff[nx-1].s0)
x=ff[nx-1].s0-1.e-4;
#else
x=fmod((x+M_PI*2.0000001-ff[0].s0),(2.*M_PI))+ff[0].s0;
#endif
if (y<=ff[0].s1)
y=ff[0].s1+1.e-4;
if (y>=ff[ny-1].s1)
y=ff[ny-1].s1-1.e-4;
#endif
if (z<=z_minimum)
z=z_minimum+1.e-4;
if (z>=ff[nz-1].s2)
z=ff[nz-1].s2-1.e-4;
size_t i = ind.s0;
size_t j = ind.s1;
size_t k = ind.s2;
double fx=ff[i].s0;
double fy=ff[j].s1;
double fz=ff[k].s2;
double xP;
size_t ip1=i+1;
#ifdef GLOBAL_MODEL
if (i==nx-1){
xP = (x-fx)/(2.*M_PI+ff[0].s0-fx);
ip1=0;
if (!((xP<=1) && (xP>=0) && (xP==xP))){// in case of last phi=360 and first phi=0
xP = (x-fx)/(2.*M_PI+ff[1].s0-fx);
ip1=1;
}
}
else{
#endif
xP = (x-fx)/(ff[i+1].s0-fx);
#ifdef GLOBAL_MODEL
}
#endif
double yP = (y-fy)/(ff[j+1].s1-fy);
double zP = (z-fz)/(ff[k+1].s2-fz);
double x0 = 1.0 - xP;
double y0 = 1.0 - yP;
double z0 = 1.0 - zP;
size_t j0 =nx*j;
size_t jp1=nx*(j+1);
size_t k0 =nx*ny*k;
size_t kp1=nx*ny*(k+1);
double4 ind000 = B[i +j0 +k0 ];
double4 indP00 = B[ip1+j0 +k0 ];
double4 ind0P0 = B[i +jp1+k0 ];
double4 ind00P = B[i +j0 +kp1];
double4 ind0PP = B[i +jp1+kp1];
double4 indP0P = B[ip1+j0 +kp1];
double4 indPP0 = B[ip1+jp1+k0 ];
double4 indPPP = B[ip1+jp1+kp1];
double4 aa=a*( ind000*x0*y0*z0 +
indP00*xP*y0*z0 +
ind0P0*x0*yP*z0 +
ind00P*x0*y0*zP +
ind0PP*x0*yP*zP +
indP0P*xP*y0*zP +
indPP0*xP*yP*z0 +
indPPP*xP*yP*zP) ;
if (ind.s3 != 0)
aa.s3=sqrt(aa.s0*aa.s0+aa.s1*aa.s1+aa.s2*aa.s2);
else
aa.s3=0;
return aa;
);
#if CALCULATE!=QSL
VEX_FUNCTION(cl_double4, interp_trilinearMid, (double, x)(double, y)(double,z)(cl_double4*, B)(cl_double4*, ff)(cl_ushort4, ind),
DEFS();
if (ind.s3 == 0) return 0.0;
#ifdef PERIODIC_XY
x=fmod(x-ff[0].s0+ff[nx-2].s0-ff[0].s0,ff[nx-2].s0-ff[0].s0)+ff[0].s0;
y=fmod(y-ff[0].s1+ff[ny-2].s1-ff[0].s1,ff[ny-2].s1-ff[0].s1)+ff[0].s1;
#else
#ifndef GLOBAL_MODEL
if (x<=ff[0].s0)
x=ff[0].s0+1.e-4;
if (x>=ff[nx-2].s0)
x=ff[nx-2].s0-1.e-4;
#else
x=fmod((x+M_PI*2.0000001-ff[0].s0),(2.*M_PI))+ff[0].s0;
#endif
if (y<=ff[0].s1)
y=ff[0].s1+1.e-4;
if (y>=ff[ny-2].s1)
y=ff[ny-2].s1-1.e-4;
#endif
if (z<=z_minimum)
z=z_minimum+1.e-4;
if (z<=ff[0].s2)
z=ff[0].s2+1.e-4;
if (z>=ff[nz-2].s2)
z=ff[nz-2].s2-1.e-4;
size_t i = ind.s0;
size_t j = ind.s1;
size_t k = ind.s2;
double fx=ff[i].s0;
double fy=ff[j].s1;
double fz=ff[k].s2;
double xP;
size_t ip1=i+1;
#ifdef GLOBAL_MODEL
if (i==nx-2){
xP = (x-fx)/(2.*M_PI+ff[0].s0-fx);
ip1=0;
}
else{
#endif
xP = (x-fx)/(ff[i+1].s0-fx);
#ifdef GLOBAL_MODEL
}
#endif
double yP = (y-fy)/(ff[j+1].s1-fy);
double zP = (z-fz)/(ff[k+1].s2-fz);
double x0 = 1.0 - xP;
double y0 = 1.0 - yP;
double z0 = 1.0 - zP;
size_t j0 =nx*j;
size_t jp1=nx*(j+1);
size_t k0 =nx*ny*k;
size_t kp1=nx*ny*(k+1);
double4 ind000 = B[i +j0 +k0 ];
double4 indP00 = B[ip1+j0 +k0 ];
double4 ind0P0 = B[i +jp1+k0 ];
double4 ind00P = B[i +j0 +kp1];
double4 ind0PP = B[i +jp1+kp1];
double4 indP0P = B[ip1+j0 +kp1];
double4 indPP0 = B[ip1+jp1+k0 ];
double4 indPPP = B[ip1+jp1+kp1];
double4 aa= ind000*x0*y0*z0 +
indP00*xP*y0*z0 +
ind0P0*x0*yP*z0 +
ind00P*x0*y0*zP +
ind0PP*x0*yP*zP +
indP0P*xP*y0*zP +
indPP0*xP*yP*z0 +
indPPP*xP*yP*zP ;
return aa;
);
#endif
VEX_FUNCTION(cl_double4, interp_trilinear_diff, (double, x)(double, y)(double,z)(double, dx)(double, dy)\
(double, dz)(cl_double4*, B)(cl_double4*, ff)(cl_ushort4, ind),
if (ind.s3==0) return 0.0;
DEFS();
size_t i =ind.s0;
size_t j =ind.s1;
size_t k =ind.s2;
double fx=ff[i].s0;
double fy=ff[j].s1;
double fz=ff[k].s2;
#ifdef PERIODIC_XY
x=fmod(x-ff[0].s0+ff[nx-1].s0-ff[0].s0,ff[nx-1].s0-ff[0].s0)+ff[0].s0;
y=fmod(y-ff[0].s1+ff[ny-1].s1-ff[0].s1,ff[ny-1].s1-ff[0].s1)+ff[0].s1;
#endif
#ifdef GLOBAL_MODEL
x=fmod((x+M_PI*2.0000001-ff[0].s0),(2.*M_PI))+ff[0].s0;
#endif
double xP = (x-fx);
double yP = (y-fy);
double zP = (z-fz);
size_t ip1=i+1;
#ifdef GLOBAL_MODEL
if (i==nx-1){
fx-=2.*M_PI+ff[0].s0;
ip1=0;
xP /=-fx;
if (!((xP<=1) && (xP>=0) && (xP==xP))){// in case of last phi=360 and first phi=0
fx=-2.*M_PI-ff[1].s0+ff[i].s0;
xP = (x-ff[i].s0)/(-fx);
ip1=1;
}
}
else{
#endif
fx-=ff[i+1].s0;
xP /=-fx;
#ifdef GLOBAL_MODEL
}
#endif
fy-=ff[j+1].s1;
fz-=ff[k+1].s2;
yP /=-fy;
zP /=-fz;
double x0 = 1.0 - xP;
double y0 = 1.0 - yP;
double z0 = 1.0 - zP;
double dxP = -dx/fx;
double dyP = -dy/fy;
double dzP = -dz/fz;
double dx0 = -dxP;
double dy0 = -dyP;
double dz0 = -dzP;
size_t j0 =nx*j;
size_t jp1=nx*(j+1);
size_t k0 =nx*ny*k;
size_t kp1=nx*ny*(k+1);
double4 ind000 = B[i +j0 +k0 ];
double4 indP00 = B[ip1+j0 +k0 ];
double4 ind0P0 = B[i +jp1+k0 ];
double4 ind00P = B[i +j0 +kp1];
double4 ind0PP = B[i +jp1+kp1];
double4 indP0P = B[ip1+j0 +kp1];
double4 indPP0 = B[ip1+jp1+k0 ];
double4 indPPP = B[ip1+jp1+kp1];
double4 aa = ind000*(dx0*y0*z0 + x0*dy0*z0 + x0*y0*dz0) +
indP00*(dxP*y0*z0 + xP*dy0*z0 + xP*y0*dz0) +
ind0P0*(dx0*yP*z0 + x0*dyP*z0 + x0*yP*dz0) +
ind00P*(dx0*y0*zP + x0*dy0*zP + x0*y0*dzP) +
ind0PP*(dx0*yP*zP + x0*dyP*zP + x0*yP*dzP) +
indP0P*(dxP*y0*zP + xP*dy0*zP + xP*y0*dzP) +
indPP0*(dxP*yP*z0 + xP*dyP*z0 + xP*yP*dz0) +
indPPP*(dxP*yP*zP + xP*dyP*zP + xP*yP*dzP) ;
return aa;
);