📄 troidal.cpp
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#if !defined(__troidal_cpp)
#define __troidal_cpp
//Difinition of troidal class
#include <math.h>
#pragma hdrstop
#include "troidal.h"
////Construcor and destructor
troidal::troidal(){
SurfaceLargeRadius = 1000.0;
SurfaceSmallRadius = 100.0;
LargeRadius = SurfaceLargeRadius-SurfaceSmallRadius;
SmallRadius = SurfaceSmallRadius;
isConcave = true;
isHorizontal=true ;
};
troidal::troidal( double lr,double sr){
LargeRadius = lr;
SmallRadius = sr;
isConcave = true;
isHorizontal=true ;
};
troidal::~troidal(){
};
////accessor
/*void troidal::SetParameters(){
p = InputParameter("Focal Distance[mm]",500,0.01,1000);
face::SetFaceParameters();
};
//980519
*/
inline void troidal::SetLargeRadius(double r ){ LargeRadius=r; };
inline double troidal::GetLargeRadius() {return(LargeRadius);};
inline void troidal::SetSmallRadius(double r ){SmallRadius=r; };
inline double troidal::GetSmallRadius() {return(SmallRadius);};
inline double troidal::GetZ( double x, double y){
if (!isHorizontal) {
double temp=x;
x=y;
y=temp;
};
double t;
double R = LargeRadius;
double r = SmallRadius;
double a = sqrt(r*r-y*y);
double b = sqrt((a+R)*(a+R)-x*x);
if (isConcave==true){
t = r+R-b;
}else{
t = -(r+R-b);
};
return t;
//z=0 ,when x=y=0.
};
inline vector troidal::GetPosition( double x, double y){
return ( vector( x, y, GetZ(x,y) ) );
};
inline double troidal::gradX(double x, double y){
if (!isHorizontal) {
double temp=x;
x=y;
y=temp;
};
double t;
double R = LargeRadius;
double r = SmallRadius;
double a = sqrt(r*r-y*y);
double b = sqrt((a+R)*(a+R)-x*x);
if (isConcave==true){
t = x/b;
}else{
t = -x/b;
};
return t;
};
inline double troidal::gradY(double x, double y){
if (!isHorizontal) {
double temp=x;
x=y;
y=temp;
};
double t;
double R = LargeRadius;
double r = SmallRadius;
double a = sqrt(r*r-y*y);
double b = sqrt((a+R)*(a+R)-x*x);
if (isConcave==true){
t = y*(R+a)/a/b;
}else{
t = -y*(R+a)/a/b;
};
return t;
};
inline double troidal::gradXX(double x, double y){
if (!isHorizontal) {
double temp=x;
x=y;
y=temp;
};
double t;
double R = LargeRadius;
double r = SmallRadius;
double a = sqrt(r*r-y*y);
double b = sqrt((a+R)*(a+R)-x*x);
if (isConcave==true){
t = (R+a)*(R+a)/b/b/b;
}else{
t = -(R+a)*(R+a)/b/b/b;
};
return t;
};
inline double troidal::gradYY(double x, double y){
if (!isHorizontal) {
double temp=x;
x=y;
y=temp;
};
double t;
double R = LargeRadius;
double r = SmallRadius;
double a = sqrt(r*r-y*y);
double b = sqrt((a+R)*(a+R)-x*x);
if (isConcave==true){
t = (x*x*y*y*a + r*r*r*r*(3*R+a) -r*r*(-R*R*R -3*R*R*a +a*(x*x+y*y) +R*(x*x+3*y*y)))/a/a/a/b/b/b;
}else{
t = -(x*x*y*y*a + r*r*r*r*(3*R+a) -r*r*(-R*R*R -3*R*R*a +a*(x*x+y*y) +R*(x*x+3*y*y)))/a/a/a/b/b/b;
};
return t;
};
// This is the normal vector of surface on the point(x,y).
// This is toward the inside of troidal.
// This.length is 1.
vector troidal::NormalVector ( double x, double y){
return ( vector( -gradX(x,y), -gradY(x,y), 1).normalize() ); //OK 980520
};
vector troidal::NormalVector ( vector position){
return ( NormalVector( position.getX(), position.getY() ) );
};
////GradientVector////////////////////////////////////////////
// This is one of tangential vactors on the tangential plane.
// This is toward direction which has the largest gradient.
// This length is 1.
vector troidal::GradientVector(double x, double y){
double gx = gradX( x,y);
double gy = gradY( x,y);
return ( vector( gx, gy, gx*gx+gy*gy ).normalize() );
};
vector troidal::GradientVector( vector position){
return( GradientVector( position.getX(), position.getY() ) );
};
////NoGradientVector///////////////////////////////////////////
// This is one of tangential vactors on the tangential plane.
// This is toward direction which has no gradient.
//// This length will be 1,
//// and this Z-coordinate will be Zero.
vector troidal::NoGradientVector(double x,double y){
return( NormalVector(x,y)%GradientVector(x,y) );
};
vector troidal::NoGradientVector(vector position){
return( NormalVector(position)%GradientVector(position) );
};
int troidal::WriteFaceName(ofstream& fout){
fout << "(Face name is : troidal);" << endl;
return(1);
};
int troidal::WriteParameters(ofstream& fout){
if (isConcave==true){
fout << "(Concave);" << endl;
}else{
fout << "(Convex);" << endl;
};
if (isHorizontal==true) {
fout << "(Horizontal);" << endl;
}else{
fout << "(not Horizontal);" << endl;
};
fout << "(,which Large Radius[mm] is :" << LargeRadius <<");" << endl;
fout << "(,which Small Radius[mm] is :" << SmallRadius <<");" << endl;
fout << "(,which Surface Large Radius[mm] is :" << SurfaceLargeRadius <<");" << endl;
fout << "(,which Surface Small Radius[mm] is :" << SurfaceSmallRadius <<");" << endl;
return(1);
};
/*
void troidal::SetParameters(){
p = InputParameter("Focal Distance[mm]",500,0.01,1000);
face::SetFaceParameters();
};
void SetParameter(TStringList str);
void GetParameter(TStringList &str);
*/
void troidal::SetParameter(TStringList *str)
{
SurfaceLargeRadius=-1.;
SurfaceSmallRadius=-1.;
for (int i=0; i<str->Count; i++){
AnsiString temp;
temp = "LargeRadius";
if (str->Names[i]==temp){
LargeRadius = str->Values[str->Names[i]].ToDouble();
};
temp = "SmallRadius";
if (str->Names[i]==temp){
SmallRadius = str->Values[str->Names[i]].ToDouble();
};
temp = "SurfaceLargeRadius";
if (str->Names[i]==temp){
SurfaceLargeRadius = str->Values[str->Names[i]].ToDouble();
};
temp = "SurfaceSmallRadius";
if (str->Names[i]==temp){
SurfaceSmallRadius = str->Values[str->Names[i]].ToDouble();
};
temp = "isConcave";
if (str->Names[i]==temp){
isConcave = str->Values[str->Names[i]].ToInt();
};
temp = "isHorizontal";
if (str->Names[i]==temp){
isHorizontal = str->Values[str->Names[i]].ToInt();
};
};
if ((SurfaceLargeRadius>0)&&(SurfaceSmallRadius>0)){
LargeRadius = SurfaceLargeRadius-SurfaceSmallRadius;
SmallRadius = SurfaceSmallRadius;
}else{
SurfaceLargeRadius = LargeRadius+SmallRadius;
SurfaceSmallRadius = SmallRadius;
};
face::SetFaceParameter(str);
};
void troidal::GetParameter(TStringList *str)
{
str->Add(AnsiString("---troidal parameter(s)---"));
str->Add(AnsiString("FaceType=troidal"));
str->Add(AnsiString("SurfaceLargeRadius=")+ SurfaceLargeRadius);
str->Add(AnsiString("SurfaceSmallRadius=")+ SurfaceSmallRadius);
str->Add(AnsiString("//LargeRadius=")+ LargeRadius);
str->Add(AnsiString("//SmallRadius=")+ SmallRadius);
str->Add(AnsiString("isConcave=")+ AnsiString((int)isConcave) );
if(isConcave==true){
str->Add(AnsiString("//Concave"));
}else{
str->Add(AnsiString("//Convex"));
};
str->Add(AnsiString("isHorizontal=")+ AnsiString((int)isHorizontal) );
if(isHorizontal==true){
str->Add(AnsiString("//Horizontal"));
}else{
str->Add(AnsiString("//not Horizontal"));
};
face::GetFaceParameter(str);
};
#endif
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