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velocity_blocks.h
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#ifndef VELOCITY_BLOCKS_H
#define VELOCITY_BLOCKS_H
#include <iostream>
#include "common.h"
namespace vblock {
namespace interpmethod {
enum Method {
NGP, /**< Nearest grid point, i.e., no interpolation.*/
CIC, /**< Cloud in cell, i.e., linear interpolation.*/
TSC
};
}
template<int PADDING,int METHOD> void accum_xyz(Realf* array,const Real* coords,const Realf& value);
template<int PADDING,typename T> void addToFine_x(const T& octant,const T* coarseOffset);
template<int METHOD,typename REAL> Realf interp_xy(const REAL* pos,Realf* data);
template<int METHOD,typename REAL> Realf interp_xz(const REAL* pos,Realf* data);
template<int METHOD,typename REAL> Realf interp_yz(const REAL* pos,Realf* data);
template<int METHOD,typename REAL> Realf interp_xyz(const REAL* pos,Realf* data);
template<typename T> T index(const T& i,const T& j,const T& k);
template<typename T> T nbrIndex(const T& i_off,const T& j_off,const T& k_off);
template<int PADDING,typename T> T padIndex(const T& i,const T& j,const T& k);
template<typename T> T refIndex(const T& i,const T& j,const T& k,T& i_trgt,T& j_trgt,T& k_trgt);
// ***** DEFINITIONS OF TEPLATE FUNCTION ***** //
template<int PAD,int METHOD> inline
void accum_xyz(Realf* array,const Real* pos,const Realf& value) {
switch (METHOD) {
case interpmethod::NGP:
{
const int i = static_cast<int>(pos[0]);
const int j = static_cast<int>(pos[1]);
const int k = static_cast<int>(pos[2]);
array[padIndex<PAD>(i+1,j+1,k+1)] += value;
}
break;
case interpmethod::CIC:
{
const int i = static_cast<int>(pos[0] + 0.5);
const int j = static_cast<int>(pos[1] + 0.5);
const int k = static_cast<int>(pos[2] + 0.5);
const Realf W_x = pos[0]-i+0.5;
const Realf W_y = pos[1]-j+0.5;
const Realf W_z = pos[2]-k+0.5;
array[padIndex<PAD>(i ,j ,k )] += value * (1-W_x)*(1-W_y)*(1-W_z);
array[padIndex<PAD>(i+1,j ,k )] += value * ( W_x )*(1-W_y)*(1-W_z);
array[padIndex<PAD>(i ,j+1,k )] += value * (1-W_x)*( W_y )*(1-W_z);
array[padIndex<PAD>(i+1,j+1,k )] += value * ( W_x )*( W_y )*(1-W_z);
array[padIndex<PAD>(i ,j ,k+1)] += value * (1-W_x)*(1-W_y)*( W_z );
array[padIndex<PAD>(i+1,j ,k+1)] += value * ( W_x )*(1-W_y)*( W_z );
array[padIndex<PAD>(i ,j+1,k+1)] += value * (1-W_x)*( W_y )*( W_z );
array[padIndex<PAD>(i+1,j+1,k+1)] += value * ( W_x )*( W_y )*( W_z );
}
break;
case interpmethod::TSC:
{
int indices[3];
indices[0] = static_cast<int>(pos[0]);
indices[1] = static_cast<int>(pos[1]);
indices[2] = static_cast<int>(pos[2]);
Realf sf[9];
sf[0] = 0.5*(indices[0]+1-pos[0])*(indices[0]+1-pos[0]);
sf[2] = 0.5*(pos[0] -indices[0] )*(pos[0] -indices[0] );
sf[1] = 1-sf[0]-sf[2];
sf[3] = 0.5*(indices[1]+1-pos[1])*(indices[1]+1-pos[1]);
sf[5] = 0.5*(pos[1] - indices[1] )*(pos[1] - indices[1] );
sf[4] = 1-sf[3]-sf[5];
sf[6] = 0.5*(indices[2]+1-pos[2])*(indices[2]+1-pos[2]);
sf[8] = 0.5*(pos[2] -indices[2] )*(pos[2] -indices[2] );
sf[7] = 1-sf[6]-sf[8];
for (int k_off=-1; k_off<2; ++k_off) for (int j_off=-1; j_off<2; ++j_off) for (int i_off=-1; i_off<2; ++i_off) {
const Realf shapeFactor = sf[0+i_off+1] * sf[3+j_off+1] * sf[6+k_off+1];
array[padIndex<PAD>(indices[0]+i_off+1,indices[1]+j_off+1,indices[2]+k_off+1)] += value*shapeFactor;
}
}
break;
default:
std::cerr << "Unknown accumulation method in " << __FILE__ << ' ' << __LINE__ << std::endl;
exit(1);
break;
}
}
template<int PAD,typename T> inline
void addToFine_x(const T& j_fine,const T& k_fine,const T* coarseOffset,Realf* fineArray,const Realf* coarseArray) {
/*const T k_coarse = coarseOffset[2] + 2*(octant / 4);
const T j_coarse = coarseOffset[1] + 2*((octant - 4*(octant/4))/2);
const T i_coarse = coarseOffset[0] + 2*(octant % 2);*/
/*
std::cerr << octant << ' ';
std::cerr << j_fine << ' ' << k_fine << " <- ";
std::cerr << i_coarse << ' ' << j_coarse << ' ' << k_coarse;
std::cerr << std::endl;*/
for (T i_fine=0; i_fine<WID; ++i_fine) {
const T coarseIndex = padIndex<PAD>(coarseOffset[0]+i_fine/2,coarseOffset[1]+j_fine/2,coarseOffset[2]+k_fine/2);
fineArray[index(i_fine,j_fine,k_fine)] += coarseArray[coarseIndex];
//fineArray[index(i_fine,j_fine,k_fine)] += coarseArray[padIndex<PAD>(i_coarse+i_fine/2,j_coarse+j_fine/2,k_coarse+k_fine/2)];
}
}
template<typename T> inline
T nbrIndex(const T& i_off,const T& j_off,const T& k_off) {
return (k_off+1)*9 + (j_off+1)*3 + i_off+1;
}
template<typename T> inline
T index(const T& i,const T& j,const T& k) {
return k*WID2 + j*WID + i;
}
template<int METHOD,typename REAL> inline
Realf interp_xy(const REAL* pos,const Realf* data) {
switch (METHOD) {
case interpmethod::NGP:
{
const int i = static_cast<int>(pos[0]);
const int j = static_cast<int>(pos[1]);
const int k = static_cast<int>(pos[2]);
return data[index(i,j,k)];
}
break;
case interpmethod::CIC:
{
const int i = static_cast<int>(pos[0] - 0.5);
const int j = static_cast<int>(pos[1] - 0.5);
const int k = static_cast<int>(pos[2] - 0.5);
Realf W_x = pos[0]-i-0.5;
Realf W_y = pos[1]-j-0.5;
return data[index(i+0,j+0,k)]*(1-W_x)*(1-W_y)
+ data[index(i+1,j+0,k)]*( W_x )*(1-W_y)
+ data[index(i+0,j+1,k)]*(1-W_x)*( W_y )
+ data[index(i+1,j+1,k)]*( W_x )*( W_y );
}
break;
default:
std::cerr << "Unknown interpolation method in " << __FILE__ << ' ' << __LINE__ << std::endl;
exit(1);
break;
}
}
template<int METHOD,typename REAL> inline
Realf interp_xz(const REAL* pos,const Realf* data) {
switch (METHOD) {
case interpmethod::NGP:
{
const int i = static_cast<int>(pos[0]);
const int j = static_cast<int>(pos[1]);
const int k = static_cast<int>(pos[2]);
return data[index(i,j,k)];
}
break;
case interpmethod::CIC:
{
const int i = static_cast<int>(pos[0] - 0.5);
const int j = static_cast<int>(pos[1] - 0.5);
const int k = static_cast<int>(pos[2] - 0.5);
Realf W_x = pos[0]-i-0.5;
Realf W_z = pos[2]-k-0.5;
return data[index(i+0,j,k+0)]*(1-W_x)*(1-W_z)
+ data[index(i+1,j,k+0)]*( W_x )*(1-W_z)
+ data[index(i+0,j,k+1)]*(1-W_x)*( W_z )
+ data[index(i+1,j,k+1)]*( W_x )*( W_z );
}
break;
default:
std::cerr << "Unknown interpolation method in " << __FILE__ << ' ' << __LINE__ << std::endl;
exit(1);
break;
}
}
template<int METHOD,typename REAL> inline
Realf interp_yz(const REAL* pos,const Realf* data) {
switch (METHOD) {
case interpmethod::NGP:
{
const int i = static_cast<int>(pos[0]);
const int j = static_cast<int>(pos[1]);
const int k = static_cast<int>(pos[2]);
return data[index(i,j,k)];
}
break;
case interpmethod::CIC:
{
const int i = static_cast<int>(pos[0] - 0.5);
const int j = static_cast<int>(pos[1] - 0.5);
const int k = static_cast<int>(pos[2] - 0.5);
Realf W_y = pos[1]-j-0.5;
Realf W_z = pos[2]-k-0.5;
return data[index(i,j+0,k+0)]*(1-W_y)*(1-W_z)
+ data[index(i,j+1,k+0)]*( W_y )*(1-W_z)
+ data[index(i,j+0,k+1)]*(1-W_y)*( W_z )
+ data[index(i,j+1,k+1)]*( W_y )*( W_z );
}
break;
default:
std::cerr << "Unknown interpolation method in " << __FILE__ << ' ' << __LINE__ << std::endl;
exit(1);
break;
}
}
template<int METHOD,typename REAL> inline
Realf interp_xyz(const REAL* pos,const Realf* data) {
switch (METHOD) {
case interpmethod::NGP:
{
const int i = static_cast<int>(pos[0]);
const int j = static_cast<int>(pos[1]);
const int k = static_cast<int>(pos[2]);
return data[index(i,j,k)];
}
break;
default:
std::cerr << "Unknown interpolation method in " << __FILE__ << ' ' << __LINE__ << std::endl;
exit(1);
break;
}
}
template<int PADDING,typename T> inline
T padIndex(const T& i,const T& j,const T& k) {
const T W = WID+2*PADDING;
return k*W*W + j*W + i;
}
/** Calculate the target octant and (refined) cell indices
* from the given (coarse) cell indices.
* @param i Cell i-index in coarse block.
* @param j Cell j-index in coarse block.
* @param k Cell k-index in coarse block.
* @param i_trgt Target cell i-index in refined block.
* @param j_trgt Target cell j-index in refined block.
* @param k_trgt Target cell k-index in refined block.
* @return Octant of the target block.*/
template<typename T> inline
T refIndex(const T& i,const T& j,const T& k,T& i_trgt,T& j_trgt,T& k_trgt) {
i_trgt = (i % 2) * 2;
j_trgt = (j % 2) * 2;
k_trgt = (k % 2) * 2;
return (k/2)*4 + (j/2)*2 + (i/2);
}
}; // namespace vblock
#endif