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Commit 26f0d171 authored by Phillip Lino Rall's avatar Phillip Lino Rall
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increased efficiency of iterpolator. trilinear interpolation not worth it, as... 

increased efficiency of iterpolator. trilinear interpolation not worth it, as it increases computational effort quiet a lot, while barely being more accurate
parent 01bc6394
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program/source/interpol/interpol.cc
View file @ 26f0d171
......@@ -53,10 +53,11 @@ bool contained_in_tet(D3vector lam) {
}
bool contained_in_tet_strong(D3vector lam) {
if(lam.x < -0.2) return false;
if(lam.y < -0.2) return false;
if(lam.z < -0.2) return false;
if(lam.x + lam.y + lam.z > 1.2) return false;
double limit = 0.2; // 0.2
if(lam.x < -limit) return false;
if(lam.y < -limit) return false;
if(lam.z < -limit) return false;
if(lam.x + lam.y + lam.z > 1+limit) return false;
return true;
}
......@@ -65,8 +66,10 @@ bool new_lam_better(D3vector lam_old, D3vector lam_new) {
if (MIN(lam_new ) < -0.2 || MAX(lam_new) > 1.2) return false;
if (MIN(lam_old ) < -0.2 || MAX(lam_old) > 1.2) return true;
if (MIN(lam_new) < MIN(lam_old)) return true;
if( (MIN(lam_new ) < 0 || MAX(lam_new) >1 )&& (MIN(lam_old ) >= 0 || MAX(lam_old) <=1 )) return false;
if (MIN(lam_new) > MIN(lam_old)) return true;
if (MAX(lam_new) < MAX(lam_old)) return true;
return false;
}
bool new_lam_worse(D3vector lam_old, D3vector lam_new) {
......@@ -2694,15 +2697,14 @@ void Interpolate_direct::find_cell(D3vector v)
counterSamePoint++;
return;
}
badLambdaFound = false;
bool badIsBestLambda = false;
bool previousBadLambda = false;
idHexNow = -1;
vNow = v;
lambda = D3vector(-1,-1,-1);
D3vector cWSD, cESD;
D3vector cWND, cEND;
D3vector cWST, cEST;
D3vector cWNT, cENT;
D3vector boxWSD, boxENT;
......@@ -2711,58 +2713,98 @@ void Interpolate_direct::find_cell(D3vector v)
int Nx, Ny, Nz;
// prev
if (checkBox(idHexPrev,iPrev, jPrev, kPrev, v) != -1){
counterFastest++;
setPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
return;
if (!badLambdaFound)
{
counterFastest++;
setPrevIndex();
return;
}
else
{
previousBadLambda = true;
//std::cout << "should be in next or is at boundary!" << std::endl;
}
}
//std::cout << idHexPrev<< " " <<iPrev<< " " << jPrev<< " " << kPrev << std::endl;
if (checkBoxSurroundingOptimized(idHexPrev,iPrev, jPrev, kPrev, v) != -1)
{
if ((previousBadLambda && badLambdaFound ) || !badLambdaFound)
{
//will stay bad : probably at the boundary!
counterFast++;
setPrevIndex();
return;
}
if (checkBoxSurroundingOptimized(idHexPrev,iPrev, jPrev, kPrev, v) != -1){
counterFast++;
setPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
return;}
}
// prev prev
if (checkBox(idHexPrevPrev,iPrevPrev, jPrevPrev, kPrevPrev, v) != -1){
//counterFastest++;
setPrevIndex();
setPrevPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
counterSecondTry++;
return;}
if (checkBoxSurroundingOptimized(idHexPrevPrev,iPrevPrev, jPrevPrev, kPrevPrev, v) != -1){
//counterFast++;
setPrevIndex();
setPrevPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
counterSecondTry++;
return;}
if (checkBox(idHexPrevPrev,iPrevPrev, jPrevPrev, kPrevPrev, v) != -1)
{
if (!badLambdaFound)
{
setPrevIndex();
setPrevPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
counterSecondTry++;
return;
}
else
{
previousBadLambda = true;
//std::cout << "should be in next or is at boundary!" << std::endl;
}
}
if (checkBoxSurroundingOptimized(idHexPrevPrev,iPrevPrev, jPrevPrev, kPrevPrev, v) != -1)
{
if ((previousBadLambda && badLambdaFound ) || !badLambdaFound)
{
setPrevIndex();
setPrevPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
counterSecondTry++;
return;
}
}
// prev prev prev
if (checkBox(idHexPrevPrevPrev,iPrevPrevPrev, jPrevPrevPrev, kPrevPrevPrev, v) != -1){
//counterFastest++;
setPrevIndex();
setPrevPrevPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
counterThirdTry++;
return;}
if (checkBox(idHexPrevPrevPrev,iPrevPrevPrev, jPrevPrevPrev, kPrevPrevPrev, v) != -1)
{
if (!badLambdaFound)
{
setPrevIndex();
setPrevPrevIndex();
setPrevPrevPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
counterThirdTry++;
return;
}
else
{
previousBadLambda = true;
//std::cout << "should be in next or is at boundary!" << std::endl;
}
if (checkBoxSurroundingOptimized(idHexPrevPrevPrev,iPrevPrevPrev, jPrevPrevPrev, kPrevPrevPrev, v) != -1){
//counterFast++;
setPrevIndex();
setPrevPrevIndex();
setPrevPrevPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
counterThirdTry++;
return;}
}
if (checkBoxSurroundingOptimized(idHexPrevPrevPrev,iPrevPrevPrev, jPrevPrevPrev, kPrevPrevPrev, v) != -1)
{
if ((previousBadLambda && badLambdaFound ) || !badLambdaFound)
{
setPrevIndex();
setPrevPrevIndex();
setPrevPrevPrevIndex();
//cout << " n.: " << idHexNow << " " << kNow << " " << jNow << " " << kNow << endl;
counterThirdTry++;
return;
}
idHexNow = -1;
}
// cout << "Point looking for :";v.Print();cout<<endl;
for(int id_hex=0;id_hex<blockgrid->Give_unstructured_grid()->Give_number_hexahedra();++id_hex) {
Nx = blockgrid->Give_Nx_hexahedron(id_hex);
......@@ -2774,13 +2816,30 @@ void Interpolate_direct::find_cell(D3vector v)
for(int i=0;i<Nx;++i) {
if (0 < checkBox(id_hex,i, j, k, v))
{
if (abs(iNow - iPrev) < 2 && abs(jNow - jPrev) < 2 && abs(kNow - kPrev) < 2)
{
std::cout<<std::endl;
std::cout << "why not found?!\n";
}
int babsdbas=0;
babsdbas = 1;
// k =Nz;
// j =Ny;
// i =Nx;
// id_hex = blockgrid->Give_unstructured_grid()->Give_number_hexahedra();
}
}
}
}
if (badLambdaFound)
{
if (MIN(lambda) < 0 || MAX(lambda)>1)
{
}
else
{
assert(false && "must not happen!");
}
//lambda.Print();std::cout<<std::flush;
}
// cout << " pp: " << idHexPrevPrevPrev << " " << iPrevPrevPrev << " " << jPrevPrevPrev << " " << kPrevPrevPrev << endl;
// cout << " pp: " << idHexPrevPrev << " " << iPrevPrev << " " << jPrevPrev << " " << kPrevPrev << endl;
......@@ -2935,76 +2994,112 @@ int Interpolate_direct::checkBox(int id_Hex, int i, int j, int k, D3vector v)
cWNT = blockgrid->Give_coord_hexahedron(id_Hex,i, j+1,k+1);
cENT = blockgrid->Give_coord_hexahedron(id_Hex,i+1,j+1,k+1);
// std::cout << "delete line below " << std::endl;
// k = 1;
// i = 3;
// j = 3;
// cWSD = blockgrid->Give_coord_hexahedron(0,i, j, k );
// cESD = blockgrid->Give_coord_hexahedron(0,i+1,j ,k );
// cWND = blockgrid->Give_coord_hexahedron(0,i, j+1,k );
// cEND = blockgrid->Give_coord_hexahedron(0,i+1,j+1,k );
// cWST = blockgrid->Give_coord_hexahedron(0,i, j, k+1);
// cEST = blockgrid->Give_coord_hexahedron(0,i+1,j ,k+1);
// cWNT = blockgrid->Give_coord_hexahedron(0,i, j+1,k+1);
// cENT = blockgrid->Give_coord_hexahedron(0,i+1,j+1,k+1);
cWSD.Print();std::cout<<std::endl;
cESD.Print();std::cout<<std::endl;
cWND.Print();std::cout<<std::endl;
cEND.Print();std::cout<<std::endl;
cWST.Print();std::cout<<std::endl;
cEST.Print();std::cout<<std::endl;
cWNT.Print();std::cout<<std::endl;
cENT.Print();std::cout<<std::endl;
D3vector lam, lamTemp ;
if (trilinearInterpolationFlag)
{
D3vector lamTrilinar = trilinarInterpolation(v,id_Hex,i, j, k );
D3vector lamTrilinar = trilinarInterpolation(v,id_Hex,i, j, k );
lam = lambda_of_p_in_tet(v,cWND,cWNT,cWST,cEST);
lamTemp = lam;
if (contained_in_tet_strong(lam) && new_lam_better(lambda,lam)){typ=0;typCounter0++;}
lam = lambda_of_p_in_tet(v,cEST,cWND,cWST,cESD);
if (contained_in_tet_strong(lam) && new_lam_better(lambda,lam)){typ=1;typCounter1++;lamTemp = lam;}
if (lamTrilinar != -1)
{
typ = 6;
lambda = lamTrilinar;
typ_tet = typ;
idHexNow = id_Hex;
iNow = i;
jNow = j;
kNow = k;
return typ;
}
}
else
{
//std::cout << "\n\nstart of tet search\n\n";
lam = lambda_of_p_in_tet(v,cWND,cWNT,cWST,cEST);
//lam.Print();
//std::cout << "lambda bef :";lambda.Print();
lamTemp = lambda;
//std::cout << "new better : " << new_lam_better(lamTemp,lam) << std::endl;
//std::cout << "\nnew lam : "; lam.Print();
//std::cout << "old lam : "; lamTemp.Print();
if (contained_in_tet_strong(lam) && new_lam_better(lamTemp,lam)){typ=0;typCounter0++;lamTemp = lam;}
//std::cout << "new best : "; lamTemp.Print();
lam = lambda_of_p_in_tet(v,cEST,cWND,cWST,cESD);
//std::cout << "\nnew lam : "; lam.Print();
//std::cout << "old lam : "; lamTemp.Print();
//std::cout << "new better : " << new_lam_better(lamTemp,lam) << std::endl;
if (contained_in_tet_strong(lam) && new_lam_better(lamTemp,lam)){typ=1;typCounter1++;lamTemp = lam;}
//std::cout << "new best : "; lamTemp.Print();
lam = lambda_of_p_in_tet(v,cWND,cWSD,cWST,cESD);
//std::cout << "\nnew lam : "; lam.Print();
//std::cout << "old lam : "; lamTemp.Print();
//std::cout << "new better : " << new_lam_better(lamTemp,lam) << std::endl;
if (contained_in_tet_strong(lam) && new_lam_better(lamTemp,lam)){typ=2;typCounter2++;lamTemp = lam;}
//std::cout << "new best : "; lamTemp.Print();
lam = lambda_of_p_in_tet(v,cEST,cWND,cESD,cEND);
//std::cout << "\nnew lam : "; lam.Print();
//std::cout << "old lam : "; lamTemp.Print();
//std::cout << "new better : " << new_lam_better(lamTemp,lam) << std::endl;
if (contained_in_tet_strong(lam) && new_lam_better(lamTemp,lam)){typ=3;typCounter3++;lamTemp = lam;}
//std::cout << "new best : "; lamTemp.Print();
lam = lambda_of_p_in_tet(v,cENT,cWNT,cEST,cEND);
//std::cout << "\nnew lam : "; lam.Print();
//std::cout << "old lam : "; lamTemp.Print();
//std::cout << "new better : " << new_lam_better(lamTemp,lam) << std::endl;
if (contained_in_tet_strong(lam) && new_lam_better(lamTemp,lam)){typ=4;typCounter4++;lamTemp = lam;}
//std::cout << "new best : "; lamTemp.Print();
lam = lambda_of_p_in_tet(v,cWNT,cWND,cEST,cEND);
//std::cout << "\nnew lam : "; lam.Print();
//std::cout << "old lam : "; lamTemp.Print();
//std::cout << "new better : " << new_lam_better(lamTemp,lam) << std::endl;
if (contained_in_tet_strong(lam) && new_lam_better(lamTemp,lam)){typ=5;typCounter5++;lamTemp = lam;}
//std::cout << "new best : "; lamTemp.Print();
if( typ != -1 && new_lam_better(lambda,lamTemp))
{
if (MIN(lamTemp) < 0.0 || MAX(lamTemp) >1.0 )
{
badLambdaFound = true;
//lamTemp.Print();
}
else
{
badLambdaFound = false;
}
//lambda = lam;
// if (D3VectorNorm(lamTemp - D3vector(-0.184893695657936, 0.215428315449784, 0.533250940577171)) < 1e-5)
// {
// std::cout << "stop" << std::endl;
// }
// if (D3VectorNorm(lamTemp - D3vector(0.357354990724203, 0.152269993258782, 0.41683241494242)) < 1e-5)
// {
// std::cout << "stop" << std::endl;
// }
lambda = lamTemp;
typ_tet = typ;
idHexNow = id_Hex;
iNow = i;
jNow = j;
kNow = k;
lam = lambda_of_p_in_tet(v,cWND,cWSD,cWST,cESD);
if (contained_in_tet_strong(lam) && new_lam_better(lambda,lam)){typ=2;typCounter2++;lamTemp = lam;}
lam = lambda_of_p_in_tet(v,cEST,cWND,cESD,cEND);
if (contained_in_tet_strong(lam) && new_lam_better(lambda,lam)){typ=3;typCounter3++;lamTemp = lam;}
lam = lambda_of_p_in_tet(v,cENT,cWNT,cEST,cEND);
if (contained_in_tet_strong(lam) && new_lam_better(lambda,lam)){typ=4;typCounter4++;lamTemp = lam;}
}
}
lam = lambda_of_p_in_tet(v,cWNT,cWND,cEST,cEND);
if (contained_in_tet_strong(lam) && new_lam_better(lambda,lam)){typ=5;typCounter5++;lamTemp = lam;}
if( typ != -1 && new_lam_better(lambda,lamTemp))
{
if (MIN(lamTemp) < -0.2)
{
cout << "error !" << endl;
}
//lambda = lam;
lambda = lamTemp;
typ_tet = typ;
idHexNow = id_Hex;
iNow = i;
jNow = j;
kNow = k;
}
}
return typ;
}
......@@ -3025,28 +3120,44 @@ int Interpolate_direct::checkBoxSurrounding(int idHex, int i, int j, int k, D3ve
return -1;
}
int Interpolate_direct::checkBoxSurroundingOptimized(int idHex, int i, int j, int k, D3vector v)
int Interpolate_direct::checkBoxSurroundingOptimized(int idHex, int i, int j, int k, D3vector v, bool neglectBadLambda)
{
bool temp = badLambdaFound;
badLambdaFound = false;
int iterationPerSurrounding = 0;
//std::vector<
for(int iIter=i-1;iIter<i+2;iIter+=2){
if (checkBox(idHex,iIter, j, k, v) != -1){//cout << "iterationPerSurrounding " << iterationPerSurrounding+1<< endl;
for(int kIter=k+1;kIter>k-2;kIter-=2){
if (checkBox(idHex,i, j, kIter, v) != -1 && !badLambdaFound){//cout << "iterationPerSurrounding " << iterationPerSurrounding+1<< endl;
return 0;}
else { iterationPerSurrounding++;}
}
for(int jIter=j-1;jIter<j+2;jIter+=2){
if (checkBox(idHex,i, jIter, k, v) != -1){//cout << "iterationPerSurrounding " << iterationPerSurrounding+1<< endl;
if (badLambdaFound && !neglectBadLambda)
{
if (checkBoxSurroundingOptimized(idHexNow,iNow, jNow, kNow, v,true) != -1) return 0; else return -1;
}
for(int iIter=i-1;iIter<i+2;iIter+=2){
if (checkBox(idHex,iIter, j, k, v) != -1 && !badLambdaFound){//cout << "iterationPerSurrounding " << iterationPerSurrounding+1<< endl;
return 0;}
else { iterationPerSurrounding++;}
}
for(int kIter=k-1;kIter<k+2;kIter+=2){
if (checkBox(idHex,i, j, kIter, v) != -1){//cout << "iterationPerSurrounding " << iterationPerSurrounding+1<< endl;
if (badLambdaFound && !neglectBadLambda)
{
if (checkBoxSurroundingOptimized(idHexNow,iNow, jNow, kNow, v,true) != -1) return 0; else return -1;
}
for(int jIter=j-1;jIter<j+2;jIter+=2){
if (checkBox(idHex,i, jIter, k, v) != -1 && !badLambdaFound){//cout << "iterationPerSurrounding " << iterationPerSurrounding+1<< endl;
return 0;}
else { iterationPerSurrounding++;}
}
if (badLambdaFound && !neglectBadLambda)
{
if (checkBoxSurroundingOptimized(idHexNow,iNow, jNow, kNow, v,true) != -1) return 0; else return -1;
}
for(int kIter=k-1;kIter<k+2;kIter+=2)
for(int jIter=j-1;jIter<j+2;jIter+=2) {
if (checkBox(idHex,i, jIter, kIter, v) != -1){
if (checkBox(idHex,i, jIter, kIter, v) != -1 && !badLambdaFound){
//counterFast++;
//setPrevIndex();
......@@ -3054,9 +3165,13 @@ int Interpolate_direct::checkBoxSurroundingOptimized(int idHex, int i, int j, in
return 0;}
else { iterationPerSurrounding++;}
}
if (badLambdaFound && !neglectBadLambda)
{
if (checkBoxSurroundingOptimized(idHexNow,iNow, jNow, kNow, v,true) != -1) return 0; else return -1;
}
for(int kIter=k-1;kIter<k+2;kIter+=2)
for(int iIter=i-1;iIter<i+2;iIter+=2) {
if (checkBox(idHex,iIter, j, kIter, v) != -1){
if (checkBox(idHex,iIter, j, kIter, v) != -1 && !badLambdaFound){ //here
//counterFast++;
//setPrevIndex();
......@@ -3064,9 +3179,13 @@ int Interpolate_direct::checkBoxSurroundingOptimized(int idHex, int i, int j, in
return 0;}
else { iterationPerSurrounding++;}
}
if (badLambdaFound && !neglectBadLambda)
{
if (checkBoxSurroundingOptimized(idHexNow,iNow, jNow, kNow, v,true) != -1) return 0; else return -1;
}
for(int jIter=j-1;jIter<j+2;jIter+=2)
for(int iIter=i-1;iIter<i+2;iIter+=2) {
if (checkBox(idHex,iIter, jIter, k, v) != -1){
if (checkBox(idHex,iIter, jIter, k, v) != -1 && !badLambdaFound){
//counterFast++;
//setPrevIndex();
......@@ -3074,23 +3193,30 @@ int Interpolate_direct::checkBoxSurroundingOptimized(int idHex, int i, int j, in
return 0;}
else { iterationPerSurrounding++;}
}
if (badLambdaFound && !neglectBadLambda)
{
if (checkBoxSurroundingOptimized(idHexNow,iNow, jNow, kNow, v,true) != -1) return 0; else return -1;
}
for(int kIter=k-1;kIter<k+2;kIter+=2)
for(int jIter=j-1;jIter<j+2;jIter+=2)
for(int iIter=i-1;iIter<i+2;iIter+=2) {
if (checkBox(idHex,iIter, jIter, kIter, v) != -1){
if (checkBox(idHex,iIter, jIter, kIter, v) != -1 && !badLambdaFound){
//counterFast++;
//setPrevIndex();
//cout << "iterationPerSurrounding " << iterationPerSurrounding+1<< endl;
return 0;}
else { iterationPerSurrounding++;}
}
if (badLambdaFound && !neglectBadLambda)
{
if (checkBoxSurroundingOptimized(idHexNow,iNow, jNow, kNow, v,true) != -1) return 0; else return -1;
}
badLambdaFound = temp;
return -1;
}
......@@ -3398,23 +3524,133 @@ void Interpolate_direct::writeInterpolationEfficiency()
}
}
bool isInRange(double d0, double d1)
{
if (d0 * d1 >=0 )
{
return true;
}
return false;
}
D3vector Interpolate_direct::trilinarInterpolation(D3vector X, int id_Hex, int i, int j, int k)
{
std::cout << "to be implemented" << std::endl;
D3vector A = cEND; // 000
// cWSD = {1,1,0}; // 1,1,0 : x2
// cESD = {1,0,0}; // 1,0,0 : x1
// cWND = {0,1,0}; // 0,1,0 : x3
// cEND = {0,0,0}; // 0,0,0 : x0
// cWST = {1,1,1}; // 1,1,1 : x5
// cEST = {1,0,1}; // 1,0,1 : x6
// cWNT = {0,1,1}; // 0,1,1 : x4
// cENT = {0,0,1}; // 0,0,1 : x7
// D3vector shift{16,-26,12};
// cWSD +=shift; // 1,1,0 : x2
// cESD +=shift; // 1,0,0 : x1
// cWND +=shift; // 0,1,0 : x3
// cEND +=shift; // 0,0,0 : x0
// cWST +=shift; // 1,1,1 : x5
// cEST +=shift; // 1,0,1 : x6
// cWNT +=shift; // 0,1,1 : x4
// cENT +=shift; // 0,0,1 : x7
D3vector B = cESD - cEND; // 100 - 000
D3vector C = cWND - cEND; // 010 - 000
D3vector D = cENT - cEND; // 001 - 000
//std::cout << "to be implemented" << std::endl;
// X = (cWSD+ cESD+ cWND + cEND + cWST + cEST + cWNT + cENT ) / 8.0 ;
// X.x = X.x +15;
// X.y = X.y +15;
D3vector normalTD = cross_product(-1*B,C);
D3vector normalTDOPP = cross_product(cWST-cEST , cWNT - cWST);
//D3vector normalTDOPP2 = cross_product(cENT-cEST ,cWNT - cENT);
D3vector normalNS = cross_product(-1*C,D);
D3vector normalNSOPP = cross_product(cWST-cEST,cWST - cWSD);
//D3vector normalNSOPP2 = cross_product(cESD-cEST,cESD - cWSD);
D3vector normalEW = cross_product(-1*D,B);
D3vector normalEWOPP = cross_product(cWST-cWSD,cWST - cWNT);
//D3vector normalEWOPP2 = cross_product(cWND-cWSD,cWND - cWNT);
normalTD = normalTD / D3VectorNorm(normalTD);
normalTDOPP = normalTDOPP / D3VectorNorm(normalTDOPP);
normalNS = normalNS / D3VectorNorm(normalNS);
normalNSOPP = normalNSOPP / D3VectorNorm(normalNSOPP);
normalEW = normalEW / D3VectorNorm(normalEW);
normalEWOPP = normalEWOPP / D3VectorNorm(normalEWOPP);
double eta = 0.5;
double xi = 0.5;
double phi = 0.5;
bool fixEta = false;
bool fixXi = false;
bool fixPhi = false;
D3vector coord(eta,xi,phi);
double distTD0 = product(normalTD,cEND);
double distTD1 = product(normalTDOPP,cWST);
double distTDMid = distTD0-product(normalTD,X);
double distTDMid2 = distTD1-product(normalTDOPP,X);
double distNS0 = product(normalNS,cEND);
double distNS1 = product(normalNSOPP,cWST);
double distNSMid = distNS0-product(normalNS,X);
double distNSMid2 = distNS1 -product(normalNSOPP,X);
double distEW0 = product(normalEW,cEND);
double distEW1 = product(normalEWOPP,cWST);
double distEWMid = distEW0-product(normalEW,X);
double distEWMid2 = distEW1 -product(normalEWOPP,X);