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Orbit_Generator.cpp
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Orbit_Generator.cpp
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/*
* To change this license header, choose License Headers in Project Properties.
* To change this template file, choose Tools | Templates
* and open the template in the editor.
*/
/*Define Matrix Type
* Plan out Coordinate Conversions
* Overload operators for matrix operations
* Define proper macro headers for these functions and types
* Write out the Random orbit generator function/random Initial Values generator function
*/
/*Random Orbit Generator Function:
*
*/
#include <cfloat>
#include "TrackingSystem.h"
using namespace std;
int Generator::Rand_Orbit_Gen(Attributes* Body, float &GenMass, float &GenRadius, vector<CelestialPtr> &Solar_Bodies, const string name){
double Pos[3];
double Vel[3];
float Theta;
float ObjMass;
float ObjRadius;
float OrbMass;
double OrbVel[3];
double OrbPos[3];
vector<double*> Points;//User Sample Points//
int Perihelion;
double SLRec;
float Eccent;
//Support Variables//
double translate[3];
double P1[2];
/////////////////////////////////////User Specification Block////////////////////////////////////
while(true){
string Answer;
cout << "Would you like to use the default settings? Yes/No" << endl;
Answer = yes_no();
Active = Default;
if(Answer == "no")//Set Set//
Set_Settings(false);
if(Active.Set.Body)//Set Body
Set_Body(false);
//Get the position of Celestial Body "Orbit"//
Attributes V;
while(true){
bool Status = false;
for(CelestialPtr Celestial : Solar_Bodies){
V = Celestial->get_attributes();
if(Celestial->get_Name() == Active.Orbit && Get_Status(Celestial) == "Intact"){
translate[0] = -V.Rx;
translate[1] = -V.Ry;
translate[2] = -V.Rz;
Status = true;
break;
}
}
if(Status)
break;
cout << "\"" << Active.Orbit
<< "\" was either destroyed in a simulation or never existed to begin with.\n Enter another"
<< " Celestial body for " << name << " to orbit around please. 'Cancel' to cancel" << endl;
cin >> Active.Orbit;
if(str_lower(Active.Orbit) == "cancel")
return 1;
}
OrbMass = Solar_Bodies[V.ID]->get_Mass();//We'll need this mass value later. Assign it to a new variable before V(retrieved above) goes out of scope//
OrbVel[0] = V.Vx;//Same here//
OrbVel[1] = V.Vy;//And here//
OrbVel[2] = V.Vz;//And here too//
OrbPos[0] = V.Rx;
OrbPos[1] = V.Ry;
OrbPos[2] = V.Rz;
if(Active.Set.Axis)//Set Axis
Set_Axis(false);
if(Active.Set.Perihelion){
//Set Angle of Perihelion//
cout << "Enter the angle (0 to 360 degrees) for the argument of perihelion." << endl;
while(true){
Answer = verify_pointdouble();
double Test = convert(Answer);
if(Answer == "done")
cout << "Error, enter a number" << endl;
else if(Test < 0 || 360 < Test)
cout << "Error, number must be an integer in the range of 0 to 360" << endl;
else{
if(Test - (int)Test == 0){
Perihelion = Test;
break;
}
cout << "Error, number must be an integer." << endl;
}
}
}
if(Active.Set.IEccentric == Full){
//Set Eccentricity
cout << "Set the eccentricity value. (0-2)" << endl;
while(true){
Answer = verify_pointdouble();
if(Answer == "done")
cout << "Error, enter a number" << endl;
else if(2 < convert(Answer) || convert(Answer) < 0)
cout << "Error, Eccentricity value cannot be either negative or greater than 2." << endl;
else{
Eccent = convert(Answer);
break;
}
}
}
else{
if(Active.Set.IEccentric == Partial)
Set_Eccentric(false);
}
if(Active.Set.IRadius == Full){
//Set Radius
cout << "Enter a new Radius value." << endl;
while(true){
Answer = verify_pointdouble();
if(Answer == "done")
cout << "Enter a number" << endl;
else if(convert(Answer) <= 0)
cout << "Error. Radius value must be strictly positive." << endl;
else{
ObjRadius = convert(Answer);
break;
}
}
}
else{
if(Active.Set.IRadius == Partial)
Set_Radius(false);
}
if(Active.Set.IPosition == Full){
//Set Position
cout << "Enter the coordinates for an initial orbital point." << endl;
cout << "Enter the x-coordinate" << endl;
while(true){
Answer = verify_pointdouble();
if(Answer == "done")
cout << "Invalid input. Enter a number" << endl;
else{
Pos[0] = convert(Answer);
break;
}
}
cout << "Enter the y-coordinate" << endl;
while(true){
Answer = verify_pointdouble();
if(Answer == "done")
cout << "Invalid input. Enter a number" << endl;
else{
Pos[1] = convert(Answer);
break;
}
}
cout << "Enter the z-coordinate" << endl;
while(true){
Answer = verify_pointdouble();
if(Answer == "done")
cout << "Invalid input. Enter a number" << endl;
else{
Pos[2] = convert(Answer);
break;
}
}
}
else{
if(Active.Set.IPosition == Partial)
Set_Position(false);
}
if(Active.Set.IMass == Full){
//Set IMass
float Value;
cout << "Enter a new Mass value." << endl;
while(true){
Answer = verify_pointdouble();
if(Answer == "done")
cout << "Enter a number" << endl;
else if(convert(Answer) <= 0)
cout << "Error. Mass value must be strictly positive." << endl;
else{
Value = convert(Answer);
if(Verify_Mass(&Value, &OrbMass)){
ObjMass = Value;
break;
}
cout << "Error. Mass value too large. Enter a new value" << endl;
}
}
}
else{
if(Active.Set.IMass == Partial)
Set_Mass(false);
}
////////////////////////////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////RNG Block//////////////////////////////////////////////////
if(Active.Set.IMass != Full){
ObjMass = Gen_Mass(&OrbMass);
if(ObjMass == -1)
return 1;
}
if(Active.Set.IRadius != Full)
ObjRadius = Gen_Radius();
if(Active.Set.IPosition != Full){
if(Gen_Position(Solar_Bodies, ObjRadius, Pos, OrbPos))
return 1;
}
if(!Active.Set.Perihelion)
Perihelion = rand() % 360;
if(!Active.Set.Sampler && Active.Set.IEccentric != Full)
Eccent = Gen_Eccent();
////////////////////////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////Information Processing Block////////////////////////////////////
//Apply Translation//
Pos[0] += translate[0];//x
Pos[1] += translate[1];//y
Pos[2] += translate[2];//z
//Rotate Initial Position onto x-z(or whatever respective 2-D) plane, save the inverse transformation for later//
Theta = get_rotation(Pos);//HERE
Rotate(Pos, Theta);
//Translate into a 2-D "(x,y)" coordinate//
if(Active.Axis == 'Z' || Active.Axis == 'X'){//x-z plane to x-y coordinate
P1[0] = Pos[0];
P1[1] = -Pos[2];
}
if(Active.Axis == 'Y'){//x-y plane to x-y coordinate
P1[0] = Pos[0];
P1[1] = Pos[1];
}
//If necessary, apply Least Squares on specified points to obtain Eccentricity and Semi-Latus Rectum//
float Peri = 2*pi*(Perihelion/360.0);
if(Active.Set.Sampler){
Specify_Path(Points, P1, &Theta, Peri, Eccent, SLRec);
}
else{//Calculate Semi-Latus Rectum//
SLRec = SLRec_Calc(Eccent, P1, Peri);
}
cout << "Semi-Latus Rectum: " << SLRec << endl;
cout << "Eccentricity: " << Eccent << endl;
//Calculate Position at Argument of Perihelion to verify that it is stable//
if(0 < ((SLRec/(1+Eccent)) - ObjRadius - Solar_Bodies[V.ID]->get_Radius()))//Might Have to Change//Will have to add onto this test later
break;
//If not, display Warning Message ... and Yes/No verification//
cout << "Warning: " << name << " will likely crash into " << Active.Orbit << ". Are you fine with this? Yes/No (No will make you restart the Orbit Customizer.)" << endl;
Answer = yes_no();
if(Answer == "yes")
break;
}
if(!Points.empty()){//Deallocate all memory in "Points" and clear vector//Possible Memory Leak//
vector<double*>::const_iterator Point=Points.begin();
delete[] *Point;
Points.clear();
Points.shrink_to_fit();
}
//Use Eccentricity and Semi-Latus Rectum to calculate initial Velocity//
float u = (ObjMass*OrbMass)/(ObjMass + OrbMass);
double L = sqrt(u*G*OrbMass*ObjMass*SLRec);
double E = G*OrbMass*ObjMass*(Eccent*Eccent - 1)/(2*SLRec);
float Angle;
Vel[1] = L/(u*(sqrt(P1[0]*P1[0] + P1[1]*P1[1])));//Vtan
Vel[0] = (2*((E + G*OrbMass*ObjMass/(sqrt(P1[0]*P1[0] + P1[1]*P1[1])))/u)) - Vel[1]*Vel[1];//Vrad
if(Vel[0] < 0)
Vel[0] = 0;
Vel[0] = sqrt(Vel[0]);//Given the starting angle, whether the square root is positive or negative will determine whether the new orbit is clockwise or counter-clockwise//
if(1 < Eccent)
Vel[0] *= -1;
cout << "VRad: " << Vel[0] << endl;
cout << "VTan: " << Vel[1] << endl;
//Translate Polar coordinates back to Cartesian coordinates//
Angle = get_theta(P1[0], P1[1], sqrt(P1[0]*P1[0] + P1[1]*P1[1]));
Vel[2] = Vel[0]*cos(Angle) - Vel[1]*sin(Angle);//Vx
Vel[1] = Vel[0]*sin(Angle) + Vel[1]*cos(Angle);//Vy
Vel[0] = Vel[2];
Vel[2] = 0.0;
Pos[0] = P1[0];
//Make sure velocity vector is correct 3-D vector//
if(Active.Axis == 'Z' || Active.Axis == 'X'){//x-y coordinate to x-z plane
Vel[2] = -Vel[1];
Vel[1] = 0.0;
Pos[2] = -P1[1];
Pos[1] = 0.0;
}
else{
Pos[1] = P1[1];
Pos[2] = 0.0;
}
//Apply inverse rotational transformation to Initial velocity vectors//
Rotate(Vel, -Theta);
Rotate(Pos, -Theta);
//Calculate Initial Velocity with respect to origin in World Space(Rather than with respect to the body being orbited//
Vel[0] += OrbVel[0];
Vel[1] += OrbVel[1];
Vel[2] += OrbVel[2];
Pos[0] -= translate[0];
Pos[1] -= translate[1];
Pos[2] -= translate[2];
//Set the attributes for new Celestial Object//
GenMass = ObjMass;
GenRadius = ObjRadius;
Body->Rx = Pos[0];
Body->Ry = Pos[1];
Body->Rz = Pos[2];
Body->Vx = Vel[0];
Body->Vy = Vel[1];
Body->Vz = Vel[2];
return 0;
/////////////////////////////////////////////////////////////////////////////////////////////////////
}
int Generator::Gen_Position(vector<CelestialPtr> &Solar_Bodies, float Radius, double* Pos, double* OrbPos){
double Dec;
double Val;
int Power;
bool signx;
bool signy;
bool signz;
bool Conflict;
double r;
Attributes Test;
int Count = 0;
while(Count < 10000){
Conflict = false;
if(Active.Pos_Val.X == Maybe){
if((rand() % 2) == 0)
signx = true;//Positive//
else
signx = false;//Negative//
}
else if(Active.Pos_Val.X == Yes)
signx = true;//Positive
else
signx = false;//Negative
if(Active.Pos_Val.Y == Maybe){
if((rand() % 2) == 0)
signy = true;//Positive//
else
signy = false;//Negative//
}
else if(Active.Pos_Val.Y == Yes)
signy = true;//Positive
else
signy = false;//Negative
if(Active.Pos_Val.Z == Maybe){
if((rand() % 2) == 0)
signz = true;//Positive//
else
signz = false;//Negative//
}
else if(Active.Pos_Val.Z == Yes)
signz = true;//Positive
else
signz = false;//Negative
Dec = (double)(rand() % (int)pow(10,Active.Pos_Val.Decimalx))/(pow(10,Active.Pos_Val.Decimalx));
Val = (rand() % (Active.Pos_Val.Maxx - Active.Pos_Val.Minx + 1)) + Active.Pos_Val.Minx;
Power = (rand() % (Active.Pos_Val.Powerxmax - Active.Pos_Val.Powerxmin + 1)) + Active.Pos_Val.Powerxmin;
Val += Dec;
if(signx)
Pos[0] = Val*pow(10,Power);
else
Pos[0] = -Val*pow(10,Power);
Dec = (double)(rand() % (int)pow(10,Active.Pos_Val.Decimaly))/(pow(10,Active.Pos_Val.Decimaly));
Val = (rand() % (Active.Pos_Val.Maxy - Active.Pos_Val.Miny + 1)) + Active.Pos_Val.Miny;
Power = (rand() % (Active.Pos_Val.Powerymax - Active.Pos_Val.Powerymin + 1)) + Active.Pos_Val.Powerymin;
Val += Dec;
if(signy)
Pos[1] = Val*pow(10,Power);
else
Pos[1] = -Val*pow(10,Power);
Dec = (double)(rand() % (int)pow(10,Active.Pos_Val.Decimalz))/(pow(10,Active.Pos_Val.Decimalz));
Val = (rand() % (Active.Pos_Val.Maxz - Active.Pos_Val.Minz + 1)) + Active.Pos_Val.Minz;
Power = (rand() % (Active.Pos_Val.Powerzmax - Active.Pos_Val.Powerzmin + 1)) + Active.Pos_Val.Powerzmin;
Val += Dec;
if(signz)
Pos[2] = Val*pow(10,Power);
else
Pos[2] = -Val*pow(10,Power);
Pos[0] += OrbPos[0];
Pos[1] += OrbPos[1];
Pos[2] += OrbPos[2];
for(CelestialPtr Body : Solar_Bodies){
Test = Body->get_attributes();
r = sqrt(pow(Pos[0] - Test.Rx,2) + pow(Pos[1] - Test.Ry,2) + pow(Pos[2] - Test.Rz,2));
if(r < Body->get_Radius() + Radius){
Conflict = true;
break;
}
}
if(!Conflict)
return 0;
Count++;
}
cout << "Error, failed to generate a proper orbital position far enough away from " << Active.Orbit << ".\nRadius of " << Active.Orbit << " might"
"be too large and creating conflict.\nSuggestion: Change the Generator Settings to allow orbit generation farther away from " << Active.Orbit << "." << endl;
return 1;
}
float Generator::Gen_Mass(float *Orb){
float Val;
float Dec;
float Power;
int Count = 0;
while(Count < 10000){
Dec = (float)(rand() % (int)pow(10,Active.Mass_Val.Decimal))/(pow(10,Active.Mass_Val.Decimal));
Val = (rand() % (Active.Mass_Val.Max - Active.Mass_Val.Min + 1)) + Active.Mass_Val.Min;
Power = (rand() % (Active.Mass_Val.Powermax - Active.Mass_Val.Powermin + 1)) + Active.Mass_Val.Powermin;
Val += Dec;
Val = Val*pow(10,Power);
if(Verify_Mass(&Val, Orb))
return Val;
Count++;
}
cout << "Error, could not generate an acceptable mass value. Mass of " << Active.Orbit << " might be too large." << endl;
return -1;
}
bool Generator::Verify_Mass(float *Obj, float *Orb){
if(*Obj > FLT_MAX/(*Orb))
return false;
return true;
}
float Generator::Gen_Radius(){
float Dec = (float)(rand() % (int)pow(10,Active.Rad_Val.Decimal))/(pow(10,Active.Rad_Val.Decimal));
float Val = (rand() % (Active.Rad_Val.Max - Active.Rad_Val.Min + 1)) + Active.Rad_Val.Min;
int Power = (rand() % (Active.Rad_Val.Powermax - Active.Rad_Val.Powermin + 1)) + Active.Rad_Val.Powermin;
Val += Dec;
return Val*pow(10,Power);
}
float Generator::Gen_Eccent(){
float Dec = (float)(rand() % (int)pow(10,Active.Ecc_Dec))/(pow(10,Active.Ecc_Dec));
float Val = (rand() % (Active.Ecc_Range + 1));
if(Val < 2)
Val += Dec;
return Val;
}
double Generator::SLRec_Calc(const float Eccent, const double* P1, const float Peri){
double r = sqrt(pow(P1[0],2) + pow(P1[1],2));
float Theta = get_theta(P1[0], P1[1], r);
return r*(1 + Eccent*cos(Theta - Peri));
}
float Generator::get_rotation(double* Pos){
float Phi;
switch(Active.Axis){
case 'Z':
if(Pos[0] == 0){
if(Pos[1] == 0)
Phi = 0.0;
else
Phi = -pi/2;
}
else if(Pos[1] == 0)
Phi = 0.0;
else
Phi = -atanf(Pos[1]/Pos[0]);
break;
case 'Y':
if(Pos[0] == 0){
if(Pos[2] == 0)
Phi = 0.0;
else
Phi = -pi/2;
}
else if(Pos[2] == 0)
Phi = 0.0;
else
Phi = atanf(Pos[2]/Pos[0]);
break;
case 'X':
if(Pos[2] == 0){
if(Pos[1] == 0)
Phi = 0.0;
else
Phi = -pi/2;
}
else if(Pos[1] == 0)
Phi = 0.0;
else
Phi = atanf(Pos[1]/Pos[2]);
}
return Phi;
}
void Generator::Rotate(double* PS, float phi){
float E = cos(phi);
float F = sin(phi);
double a, b;
switch(Active.Axis){
case 'Z':
a = PS[0];
b = PS[1];
PS[0] = a*E - b*F;
PS[1] = a*F + b*E;
break;
case 'Y':
a = PS[0];
b = PS[2];
PS[0] = a*E + b*F;
PS[2] = -a*F + b*E;
break;
case 'X':
a = PS[1];
b = PS[2];
PS[1] = a*E - b*F;
PS[2] = a*F + b*E;
break;
}
}
float Generator::get_theta(double x, double y, double r){
float theta;
if(0 <= x && 0 <= y){
if(x == 0)
theta = pi/2;
else
theta = acosf(x/r);
}
if(x < 0 && 0 <= y){
if(y == 0)
theta = pi;
else
theta = pi - acosf(x/r);
}
if(x < 0 && y <0)
theta = pi + acosf(x/r);
if(0 <= x && y < 0){
if(x == 0)
theta = 3*pi/2;
else
theta = 2*pi - acosf(x/r);
}
return theta;
}
void Generator::Specify_Path(vector<double*> &Points, double* P1, float* Theta, float Peri, float &Eccent, double &SLRec){
int Status;
string Answer;
float ThetaCopy = *Theta;
float StartAngle;
double Parameters[2];
while(true){
//Acquire Sample Points to apply Least Squares on//This is where a function call may be added to add a generator GUI in the future
Status = Point_Sampler(Points, &StartAngle, Theta);
if(Status == POINT_EMPTY){
cout << "No points were specified. Would you like to continue with just the one default point?" << endl;
Answer = yes_no();
}
if(Status == POINT_FAIL){
cout << "Would you like to continue with just the one default point? (Yes/No) No will result in a resample." << endl;
Answer = yes_no();
}
if(Status == POINT_SUCCESS){
double P1Copy[2] = {P1[0], P1[1]};
Status = Least_Squares(Parameters, P1, Points, StartAngle);
if(Status == POINT_FAIL){
P1[0] = P1Copy[0];
P1[1] = P1Copy[1];
cout << "Impossible to compute Eccentricity and Semi-Latus Rectum using Least Squares and the provided points. Would you like to respecify new points? (Yes/No)" << endl;
string Ans;
Ans = yes_no();
if(Ans == "no"){
Eccent = Gen_Eccent();
*Theta = ThetaCopy;
SLRec = SLRec_Calc(Eccent, P1, Peri);
break;
}
}
else{
SLRec = Parameters[0];
Eccent = Parameters[1];
break;
}
}
else{
if(Answer == "yes"){
Eccent = Gen_Eccent();
*Theta = ThetaCopy;
SLRec = SLRec_Calc(Eccent, P1, Peri);
break;
}
}
}
}
int Generator::Point_Sampler(vector<double*>& Points, float *SAngle, float *Theta){
int Count = 1;
vector<double> Inputs;// = {9923423432.0, -3249324.0, 3924.3294923, 32432499432.0, -32949324.0, 32943294943.0, 0.0, -3294923494.0};
double Inputx, Inputy;
string number;
bool equal;
if(!Points.empty()){//Possible Memory Leak//
vector<double*>::const_iterator Point=Points.begin();
delete[] *Point;
Points.clear();
Points.shrink_to_fit();
}
cout << endl;
cout << "Pretend the orbital plane is the x-y plane. Specify the (x,y) points you would like the celestial orbit to go through." << endl;
cout << "Enter 'Done' at any point when you're finished." << endl;
while(true){
equal = false;
cout << "Point Number: " << Count << endl;
cout << "Enter Rx" << endl;
number = verify_pointdouble();
if(number == "done")
break;
Inputx = convert(number);
cout << "Enter Ry" << endl;
number = verify_pointdouble();
if(number == "done")
break;
Inputy = convert(number);
vector<double>::iterator Test;
for(Test = Inputs.begin(); Test != Inputs.end(); Test+=2){
if(*Test == Inputx && *(Test+1) == Inputy){
equal = true;
break;
}
}
if(equal)
cout << "You've already added that point." << endl;
else{
Inputs.push_back(Inputx);
Inputs.push_back(Inputy);
Count++;
}
}
float Angle;
cout << "What would you like the angle of inclination to be (in degrees)?" << endl;
while(true){
number = verify_pointdouble();
if(number == "done")
cout << "Enter a number" << endl;
else
break;
}
Angle = convert(number);
Angle = ((int)Angle % 360) + (Angle - (int)Angle);
*Theta = 2*pi*(Angle/360.0);
cout << "Enter the angle that will specify the starting position in the orbit." << endl;
while(true){
number = verify_pointdouble();
if(number == "done")
cout << "Enter a number" << endl;
else
break;
}
Angle = convert(number);
Angle = ((int)Angle % 360) + (Angle - (int)Angle);
*SAngle = 2*pi*(Angle/360.0);
if(Inputs.empty())
return POINT_EMPTY;
double *P = new (nothrow) double[Inputs.size()];
if(P == NULL){
cout << "Error. Bad memory allocation. Try again but with fewer points or something I don't know. Good Luck." << endl;
return POINT_FAIL;
}
for(int i=0; i<Inputs.size(); i++){
P[i] = Inputs[i];
if(i % 2 == 0)
Points.push_back(P + i);
}
return POINT_SUCCESS;
}
double Generator::get_Error(vector<double*> &Points, float E, float Peri, double SL){
double r;
double Diff;
double Error = 0.0;
for(double *Point : Points){
r = sqrt(Point[0]*Point[0] + Point[1]*Point[1]);
Diff = r - SL/(1 + E*cos(get_theta(Point[0], Point[1], r) - Peri));
if(Diff < 0)
Diff *= -1;
Error += Diff;
}
return Error;
}
int Generator::LS_Calculations(vector<double*> &Points, double* Result, float Peri){
long int Size = Points.size();
double A[Size][2];
double AT[2][Size];
double ATA[2][2];
double b[Size];
double y[2];
double* P;
double r;
float theta;//Argument of Latitude//
for(int i=0; i<Size; i++){
A[i][0] = 1.0;
P = Points[i];
r = sqrt(pow(P[0],2) + pow(P[1],2));
theta = get_theta(P[0],P[1],r);
b[i] = r;
A[i][1] = -r*cos(theta - Peri);
}
//Initialize A Transpose//
for(int i=0; i<Size; i++){
AT[0][i] = 1.0;
AT[1][i] = A[i][1];
}
//Multiply AT*A//
for(int i=0; i<2; i++){
for(int j=0; j<2; j++){
ATA[i][j] = 0;
for(int k=0; k<Size; k++)
ATA[i][j] += AT[i][k]*A[k][j];
}
}
//Multiply AT*b//
for(int i=0; i<2; i++){
y[i] = 0.0;
for(int k=0; k<Size; k++)
y[i] += AT[i][k]*b[k];
}
//Invert ATA//
double Det;
double Sub;
Det = ATA[0][0]*ATA[1][1] - ATA[0][1]*ATA[1][0];
if(Det==0)//No dividing by zero//
return POINT_FAIL;
Det = 1.0/Det;
Sub = ATA[0][0];
ATA[0][0] = Det*ATA[1][1];
ATA[1][1] = Det*Sub;
ATA[0][1] = -Det*ATA[0][1];
ATA[1][0] = -Det*ATA[1][0];
//Multiply ATA(Inverted)*y//
Sub = y[0];
y[0] = ATA[0][0]*Sub + ATA[0][1]*y[1];//Semi-Latus Rectum//
y[1] = ATA[1][0]*Sub + ATA[1][1]*y[1];//Eccentricity//
Result[0] = y[0];
Result[1] = y[1];
return POINT_SUCCESS;
}
int Generator::Least_Squares(double* Results, double* P1, vector<double*> &Points, float SAngle){
double y[2];
double r;
int Status;
float OptPeri;
float OptE;
double OptSL;
double Error = DBL_MAX;
double ErrorCpy;
bool Fail = true;
float Peri = 0.0;
while(Peri <= 2*pi){
Status = LS_Calculations(Points, y, Peri);
if(0 <= y[1] && y[1] <= 2 && 0 < y[0] && Status == POINT_SUCCESS){
ErrorCpy = get_Error(Points, y[1], Peri, y[0]);
Fail = false;
if(ErrorCpy < Error){
Error = ErrorCpy;
OptPeri = Peri;
OptE = y[1];
OptSL = y[0];
}
}
Peri+=0.001;
}
if(Fail)
return POINT_FAIL;
Results[0] = OptSL;
Results[1] = OptE;
r = OptSL/(1 + OptE*cos(SAngle - OptPeri));
P1[0] = r*cos(SAngle);
P1[1] = r*sin(SAngle);
cout << "Argument of Perihelion: " << OptPeri << endl;
return POINT_SUCCESS;
}