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Celestial_Body.cpp
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Celestial_Body.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.
*/
/*
* File: CelestialBody_Simulate.cpp
* Author: Michael DeMoor
*
* Created on May 2, 2017, 8:17 PM
*/
#include "TrackingSystem.h"
#include <cfloat>
#include <pthread.h>
using namespace std;
Celestial_Body::Celestial_Body(const string name, const float mass, const Attributes Cel, const float radius, Celestial* celestialptr)
: Name(name), Mass(mass), Values(Cel), Radius(radius), Celestial_Vec(celestialptr), Start(Cel), S_Mass(mass), S_Radius(radius){
Values.ID = celestialptr->SpaceCount;
Celestial_Vec->ObjectTracker.push_back(Values);
Status = "Intact";
Celestial_Vec->SpaceCount++;
}
void Celestial_Body::Display_Objects() const{
cout << "Displaying Objects: " << endl;
for(Attributes i : Celestial_Vec->ObjectTracker){
cout << "////////////////////////////////////////////////////////" << endl;
print_attributes(i, Celestial_Vec->Celestial_Bodies[i.ID]->Name, Celestial_Vec->Celestial_Bodies[i.ID]->Mass, Celestial_Vec->Celestial_Bodies[i.ID]->Radius);
}
cout << "////////////////////////////////////////////////////////" << endl << endl;
}
void Celestial_Body::display_Object() const{
cout << Name << " Attributes: " << endl;
if(Status == "Destroyed")
cout << "Sorry, " << Name << " was destroyed." << endl;
else
print_attributes(Values, Name, Mass, Radius);
cout << endl;
}
void Celestial_Body::print_attributes(Attributes V, string name, float Mass, float Radius) const{
cout << "Name: " << name << endl;
cout << "Mass (kg): " << Mass << endl;
cout << "Current Position (m): [" << V.Rx << ", " << V.Ry << ", " << V.Rz << "]" << endl;
cout << "Current Velocity (m/s): [" << V.Vx << ", " << V.Vy << ", " << V.Vz << "]" << endl;
cout << "Radius (m): " << Radius << endl;
}
void Celestial_Body::update_attributes(){
Attributes V;
bool Destroyed;
int Count = 0; int Rocket_Cnt = -1;
for(CelestialPtr Body : Celestial_Vec->Celestial_Bodies){
Destroyed = true;
V = Body->Values;
for(Attributes I : Celestial_Vec->ObjectTracker){
if(V.ID == I.ID){
Body->Values = I;
Destroyed = false;
break;
}
}
if(Destroyed) Body->Status = "Destroyed";
if(Body->Name == "Rocket") Rocket_Cnt = Count;
Count++;
}
if(Rocket_Cnt != -1){//Needs Verification//Might be a bug here
if(Celestial_Vec->Celestial_Bodies[Rocket_Cnt]->Status == "Destroyed"){
if(Celestial_Vec->get_Rocket(0)){
Celestial_Vec->set_Rocket(0, false);
Celestial_Vec->set_Rocket(1, false);
Celestial_Vec->set_Rocket(2, false);
}
}
if(!Celestial_Vec->get_Rocket(1)){
Celestial_Vec->set_Rocket(1, true);
if(Celestial_Vec->get_Rocket(2)) Celestial_Vec->set_Rocket(2, false);
else Celestial_Vec->set_Rocket(2, true);
}
}
}
//Some Gets//
Attributes Celestial_Body::get_attributes() const{
return Values;
}
float Celestial_Body::get_Mass() const{
return Mass;
}
float Celestial_Body::get_Radius() const{
return Radius;
}
string Celestial_Body::get_Name() const{
return Name;
}
void Celestial_Body::Initialize_Sim(vector<Attributes> &K1, vector<Attributes> &K1Copy, vector<Attributes> &K2, vector<Attributes> &K2Copy,
vector<Attributes> &K3, vector<Attributes> &K3Copy, vector<Attributes> &K4, vector<Attributes> &K4Copy, vector<Attributes> &K5,
vector<Attributes> &K5Copy, vector<Attributes> &K6, vector<Attributes> &Input, vector<Attributes> &Result, vector<Attributes> &Correction,
vector<Attributes> &Tracker){
//Prepare the simulation vectors by clearing them and deallocating all previously allocated memory//
K1.clear();
K1.shrink_to_fit();
K1Copy.clear();
K1Copy.shrink_to_fit();
K2.clear();
K2.shrink_to_fit();
K2Copy.clear();
K2Copy.shrink_to_fit();
K3.clear();
K3.shrink_to_fit();
K3Copy.clear();
K3Copy.shrink_to_fit();
K4.clear();
K4.shrink_to_fit();
K4Copy.clear();
K4Copy.shrink_to_fit();
K5.clear();
K5.shrink_to_fit();
K5Copy.clear();
K5Copy.shrink_to_fit();
K6.clear();
K6.shrink_to_fit();
Input.clear();
Input.shrink_to_fit();
Result.clear();
Result.shrink_to_fit();
Correction.clear();
Correction.shrink_to_fit();
//Initialize each K vector
K1 = Tracker;
K2 = Tracker;
K3 = Tracker;
K4 = Tracker;
K5 = Tracker;
K6 = Tracker;
}
//Overload + operator to work across all the Attributes values in the vectors//
vector<Attributes>& operator+(vector<Attributes> &One, vector<Attributes> &Two){
for(int i = 0; i<One.size(); i++){
One[i].Rx = One[i].Rx + Two[i].Rx;
One[i].Ry = One[i].Ry + Two[i].Ry;
One[i].Rz = One[i].Rz + Two[i].Rz;
One[i].Vx = One[i].Vx + Two[i].Vx;
One[i].Vy = One[i].Vy + Two[i].Vy;
One[i].Vz = One[i].Vz + Two[i].Vz;
}
return One;
}
//Same with - operator//
vector<Attributes>& operator-(vector<Attributes> &One, vector<Attributes> &Two){
for(int i = 0; i<One.size(); i++){
One[i].Rx = One[i].Rx - Two[i].Rx;
One[i].Ry = One[i].Ry - Two[i].Ry;
One[i].Rz = One[i].Rz - Two[i].Rz;
One[i].Vx = One[i].Vx - Two[i].Vx;
One[i].Vy = One[i].Vy - Two[i].Vy;
One[i].Vz = One[i].Vz - Two[i].Vz;
}
return One;
}
//Same with * operator//
vector<Attributes>& operator*(const double C, vector<Attributes> &One){
int num = 0;
for(Attributes i : One){
One[num].Rx = C*i.Rx;
One[num].Ry = C*i.Ry;
One[num].Rz = C*i.Rz;
One[num].Vx = C*i.Vx;
One[num].Vy = C*i.Vy;
One[num].Vz = C*i.Vz;
num++;
}
return One;
}
void* Interface(void *User){
double *UI = (double*)User;
string IN;
while(*UI != -1){
cin >> IN;
if(str_lower(IN) == "abort" && *UI != -1){
*UI = DBL_MAX;
cout << "Aborted" << endl;
break;
}
if(str_lower(IN) == "view" && *UI != -1) cout << "Current sim time: " << *UI << " seconds " << endl;
}
pthread_exit(NULL);
}
//This function is large. The goal was to keep from having to pass as many vector references as possible in order to speed up the simulation
//as much as possible. Because of this, some functions were combined together in the two main simulation loops (pre and post Rocket Launch).
void Celestial_Body::Simulate_Motion(double Time, double h, double hmax, double hmin, double e, double Wait){
//Simulation parameter declarations and instantiations//
vector<Attributes> K1, K1Copy, K2, K2Copy, K3, K3Copy, K4, K4Copy, K5, K5Copy, K6, Input, Result, Correction;
vector<Attributes> Tracker = Celestial_Vec->ObjectTracker;
vector<CelestialPtr> Temp = Celestial_Vec->Celestial_Bodies;
double c[24]; c[0] = 0.25; c[1] = 3.0/32.0; c[2] = 9.0/32.0; c[3] = 1932.0/2197.0;
c[4]= 7200.0/2197.0; c[5] = 7296.0/2197.0; c[6] = 439.0/216.0; c[7] = 8.0;
c[8] = 3680.0/513.0; c[9] = 845.0/4104.0; c[10] = 8.0/27.0; c[11] = 2.0;
c[12] = 3544.0/2565.0; c[13] = 1859.0/4104.0; c[14] = 11.0/40.0; c[15] = 25.0/216.0;
c[16] = 1408.0/2565.0; c[17] = 2197.0/4104.0; c[18] = 0.2; c[19] = 16.0/135.0;
c[20] = 6656.0/12825.0; c[21] = 28561.0/56430.0; c[22] = 9.0/50.0; c[23] = 2.0/55.0;
double R, D, hnext, Rad, Dist;
bool Trigger, Last;
int i, j, Size;
int Rocketplace = -1; int Launchplace = -1;
Attributes C, T, RocketShip, Start;
cout << "Initial Values for Objects\n";
Display_Objects();
cout << endl;
cout << "To view current sim time enter 'View'. To abort simulation enter 'Abort'." << endl;
double t = 0.0;
cout << "Simulating..." << endl;
collision(t, Tracker);//Check to see if any object starts inside another object//
Initialize_Sim(K1, K1Copy, K2, K2Copy, K3, K3Copy, K4, K4Copy, K5, K5Copy, K6, Input, Result, Correction, Tracker);//Initialize Simulation Vectors//
//Check to see if Rocket and Launch Planet still exist and are not destroyed
bool Fire = false;
if(Celestial_Vec->get_Rocket(0) && !Celestial_Vec->get_Rocket(1)){
int Count = 0; int Rocket_Cnt = -1; int Launch_Cnt = -1;
for(Attributes Track : Tracker){
if(Celestial_Vec->Celestial_Bodies[Track.ID]->Name == "Rocket"){
Rocket_Cnt = Count;
Fire = true;
}
if(Celestial_Vec->Celestial_Bodies[Track.ID]->Name == Celestial_Vec->get_Launch_Planet())Launch_Cnt = Count;
Count++;
}
if(Launch_Cnt == -1){
Wait = 0.0;
Fire = false;
cout << "Launch planet destroyed. Aborting launch wait." << endl;
}
if(Rocket_Cnt == -1){
Wait = 0.0;
cout << "Rocket destroyed. Aborting launch." << endl;
}
if(Fire){
RocketShip = Tracker[Rocket_Cnt];
Start = Tracker[Launch_Cnt];
Rocketplace = Rocket_Cnt;
Launchplace = Launch_Cnt;
Celestial_Vec->Celestial_Bodies[Tracker[Launch_Cnt].ID]->Mass += Celestial_Vec->Celestial_Bodies[Tracker[Rocket_Cnt].ID]->Mass;
Tracker.erase(Tracker.begin() + Rocket_Cnt);
K1.clear(); K1.shrink_to_fit(); K1 = Tracker;
K2.clear(); K2.shrink_to_fit(); K2 = Tracker;
K3.clear(); K3.shrink_to_fit(); K3 = Tracker;
K4.clear(); K4.shrink_to_fit(); K4 = Tracker;
K5.clear(); K5.shrink_to_fit(); K5 = Tracker;
K6.clear(); K6.shrink_to_fit(); K6 = Tracker;
}
}
//Create second thread to allow user to stop simulation at will//
pthread_t UI;
double* Abort = &t;
pthread_create(&UI, NULL, Interface, (void*)Abort);
//1st Simulation Loop//
while(t<Wait){//This code cannot be parallelized//
Trigger = false;
Last = false;
//Runge-Kutta-Fehlberg Method. This is where the simulation magic happens.//
while(true){
if(Trigger)
h = hnext;
if(h == hmin)
Last = true;
K1 = RK_Functions(K1, Tracker);////////////Calculate K1///////////////////
K1Copy = K1;
Input = (c[0]*h)*K1 + Tracker;
K2 = RK_Functions(K2, Input);///////////////Calculate K2///////////////////
K2Copy = K2; K1 = K1Copy;
Input = (c[1]*h)*K1 + (c[2]*h)*K2 + Tracker;
K3 = RK_Functions(K3,Input);///////////////Calculate K3////////////////////
K3Copy = K3; K1 = K1Copy; K2 = K2Copy;
Input = (c[3]*h)*K1 - (c[4]*h)*K2 + (c[5]*h)*K3 + Tracker;
K4 = RK_Functions(K4,Input);///////////////Calculate K4////////////////////
K4Copy = K4; K1 = K1Copy; K2 = K2Copy; K3 = K3Copy;
Input = (c[6]*h)*K1 - (c[7]*h)*K2 + (c[8]*h)*K3 - (c[9]*h)*K4 + Tracker;
K5 = RK_Functions(K5,Input);//////////////Calculate K5/////////////////////
K5Copy = K5; K1 = K1Copy; K2 = K2Copy; K3 = K3Copy; K4 = K4Copy; Result = Tracker;
Input = Result - (c[10]*h)*K1 + (c[11]*h)*K2 - (c[12]*h)*K3 + (c[13]*h)*K4 - (c[14]*h)*K5;
K6 = RK_Functions(K6,Input);///////////////Calculate K6////////////////////
K1 = K1Copy; K3 = K3Copy; K4 = K4Copy; K5 = K5Copy;
Result = (c[15]*h)*K1 + (c[16]*h)*K3 + (c[17]*h)*K4 - (c[18]*h)*K5 + Tracker;
K1 = K1Copy; K3 = K3Copy; K4 = K4Copy; K5 = K5Copy;
Correction = (c[19]*h)*K1 + (c[20]*h)*K3 + (c[21]*h)*K4 - (c[22]*h)*K5 + (c[23]*h)*K6 + Tracker;
Correction = Correction - Result;
R = Get_R(Correction, h);
D = pow((e/(2*R)),0.25);
hnext = D*h;
if(hnext < hmin)
hnext = hmin;
if(R<=e)
break;
if(Last)
break;
Trigger = true;
}
if(hmax < hnext)
hnext = hmax;
t = t + h;
h = hnext;
Tracker = Result;
//Check for collisions//
i = 0;
Size = Tracker.size();
while(i < Size){//This code can be parallelized//
C = Tracker[i];
j = i + 1;
while(j<Size){
T = Tracker[j];
Rad = Celestial_Vec->Celestial_Bodies[C.ID]->Radius + Celestial_Vec->Celestial_Bodies[T.ID]->Radius;
Dist = Distance_Calc(C.Rx - T.Rx, C.Ry - T.Ry, C.Rz - T.Rz);
if(Dist<=Rad){//Collision Handling//
if(Celestial_Vec->Celestial_Bodies[T.ID]->Mass <= Celestial_Vec->Celestial_Bodies[C.ID]->Mass){
cout << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for C using the resulting velocity from the collision momentum calculation//
C = Momentum(C,T);
Tracker[i] = C;
//Decrease Rocket and Planet Tracker position Counts if necessary
if(j < Rocketplace) Rocketplace--;
if(j == Launchplace) Launchplace = -1;
if(j < Launchplace) Launchplace--;
//Remove T and decrease size of vectors in algorithm by 1//
Tracker.erase(Tracker.begin() + j);
K1.erase(K1.begin() + j); K1Copy.pop_back(); K2Copy.pop_back(); K2.erase(K2.begin() + j); K3.erase(K3.begin() + j); K3Copy.pop_back();K4.erase(K4.begin() + j);
K4Copy.pop_back(); K5.erase(K5.begin() + j); K5Copy.pop_back(); K6.erase(K6.begin() + j); Input.pop_back(); Result.pop_back(); Correction.pop_back();
Size = Tracker.size();
}
else{
cout << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for T using the resulting velocity from the collision momentum calculation//
T = Momentum(T,C);
Tracker[j] = T;
if(i < Rocketplace) Rocketplace--;
if(i == Launchplace) Launchplace = -1;
if(i < Launchplace) Launchplace--;
//Remove C and decrease size of vectors in algorithm by 1//
Tracker.erase(Tracker.begin() + i);
K1.erase(K1.begin() + i); K1Copy.pop_back(); K2Copy.pop_back(); K2.erase(K2.begin() + i); K3.erase(K3.begin() + i); K3Copy.pop_back();K4.erase(K4.begin() + i);
K4Copy.pop_back(); K5.erase(K5.begin() + i); K5Copy.pop_back(); K6.erase(K6.begin() + i); Input.pop_back(); Result.pop_back(); Correction.pop_back();
Size = Tracker.size();
i--;
break;
}
}
else
j++;
}
i++;
}
}
if(Fire){
//Check to see if Rocket/Launch Planet is still intact//
if(Launchplace != -1){
Celestial_Vec->Celestial_Bodies[Tracker[Launchplace].ID]->Mass -= Celestial_Vec->Celestial_Bodies[RocketShip.ID]->Mass;
//Update position and velocity of RocketShip//
RocketShip.Rx = RocketShip.Rx - Start.Rx + Tracker[Launchplace].Rx;
RocketShip.Ry = RocketShip.Ry - Start.Ry + Tracker[Launchplace].Ry;
RocketShip.Rz = RocketShip.Rz - Start.Rz + Tracker[Launchplace].Rz;
RocketShip.Vx = RocketShip.Vx - Start.Vx + Tracker[Launchplace].Vx;
RocketShip.Vy = RocketShip.Vy - Start.Vy + Tracker[Launchplace].Vy;
RocketShip.Vz = RocketShip.Vz - Start.Vz + Tracker[Launchplace].Vz;
//Reinsert RocketShip into ObjectTracker//
Tracker.insert(Tracker.begin() + Rocketplace, RocketShip);//Consider replacing with push_back//
K1.clear(); K1.shrink_to_fit(); K1 = Tracker;
K2.clear(); K2.shrink_to_fit(); K2 = Tracker;
K3.clear(); K3.shrink_to_fit(); K3 = Tracker;
K4.clear(); K4.shrink_to_fit(); K4 = Tracker;
K5.clear(); K5.shrink_to_fit(); K5 = Tracker;
K6.clear(); K6.shrink_to_fit(); K6 = Tracker;
cout << "Launching Rocket..." << endl;
}
else cout << "Launch Planet and Rocket were destroyed. Rocket Launch aborted." << endl;
}
//2nd Simulation Loop Post Rocket Launch//
while(t<Time){
Trigger = false;
Last = false;
//Runge-Kutta-Fehlberg Method//
while(true){
if(Trigger)
h = hnext;
if(h == hmin)
Last = true;
K1 = RK_Functions(K1, Tracker);////////////Calculate K1///////////////////
K1Copy = K1;
Input = (c[0]*h)*K1 + Tracker;
K2 = RK_Functions(K2, Input);///////////////Calculate K2///////////////////
K2Copy = K2; K1 = K1Copy;
Input = (c[1]*h)*K1 + (c[2]*h)*K2 + Tracker;
K3 = RK_Functions(K3,Input);///////////////Calculate K3////////////////////
K3Copy = K3; K1 = K1Copy; K2 = K2Copy;
Input = (c[3]*h)*K1 - (c[4]*h)*K2 + (c[5]*h)*K3 + Tracker;
K4 = RK_Functions(K4,Input);///////////////Calculate K4////////////////////
K4Copy = K4; K1 = K1Copy; K2 = K2Copy; K3 = K3Copy;
Input = (c[6]*h)*K1 - (c[7]*h)*K2 + (c[8]*h)*K3 - (c[9]*h)*K4 + Tracker;
K5 = RK_Functions(K5,Input);//////////////Calculate K5/////////////////////
K5Copy = K5; K1 = K1Copy; K2 = K2Copy; K3 = K3Copy; K4 = K4Copy; Result = Tracker;
Input = Result - (c[10]*h)*K1 + (c[11]*h)*K2 - (c[12]*h)*K3 + (c[13]*h)*K4 - (c[14]*h)*K5;
K6 = RK_Functions(K6,Input);///////////////Calculate K6////////////////////
K1 = K1Copy; K3 = K3Copy; K4 = K4Copy; K5 = K5Copy;
Result = (c[15]*h)*K1 + (c[16]*h)*K3 + (c[17]*h)*K4 - (c[18]*h)*K5 + Tracker;
K1 = K1Copy; K3 = K3Copy; K4 = K4Copy; K5 = K5Copy;
Correction = (c[19]*h)*K1 + (c[20]*h)*K3 + (c[21]*h)*K4 - (c[22]*h)*K5 + (c[23]*h)*K6 + Tracker;
Correction = Correction - Result;
R = Get_R(Correction, h);
D = pow((e/(2*R)),0.25);
hnext = D*h;
if(hnext < hmin)
hnext = hmin;
if(R<=e)
break;
if(Last)
break;
Trigger = true;
}
if(hmax < hnext)
hnext = hmax;
t = t + h;
h = hnext;
Tracker = Result;
//Check for collisions//
i = 0;
Size = Tracker.size();
while(i < Size){
C = Tracker[i];
j = i + 1;
while(j<Size){
T = Tracker[j];
Rad = Celestial_Vec->Celestial_Bodies[C.ID]->Radius + Celestial_Vec->Celestial_Bodies[T.ID]->Radius;
Dist = Distance_Calc(C.Rx - T.Rx, C.Ry - T.Ry, C.Rz - T.Rz);
if(Dist<=Rad){//Collision Handling//
if(Celestial_Vec->Celestial_Bodies[T.ID]->Mass <= Celestial_Vec->Celestial_Bodies[C.ID]->Mass){
cout << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for C using the resulting velocity from the collision momentum calculation//
C = Momentum(C,T);
Tracker[i] = C;
//Remove T and decrease size of vectors in algorithm by 1//
Tracker.erase(Tracker.begin() + j);
K1.erase(K1.begin() + j); K1Copy.pop_back(); K2Copy.pop_back(); K2.erase(K2.begin() + j); K3.erase(K3.begin() + j); K3Copy.pop_back();K4.erase(K4.begin() + j);
K4Copy.pop_back(); K5.erase(K5.begin() + j); K5Copy.pop_back(); K6.erase(K6.begin() + j); Input.pop_back(); Result.pop_back(); Correction.pop_back();
Size = Tracker.size();
}
else{
cout << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for T using the resulting velocity from the collision momentum calculation//
T = Momentum(T,C);
Tracker[j] = T;
//Remove C and decrease size of vectors in algorithm by 1//
Tracker.erase(Tracker.begin() + i);
K1.erase(K1.begin() + i); K1Copy.pop_back(); K2Copy.pop_back(); K2.erase(K2.begin() + i); K3.erase(K3.begin() + i); K3Copy.pop_back();K4.erase(K4.begin() + i);
K4Copy.pop_back(); K5.erase(K5.begin() + i); K5Copy.pop_back(); K6.erase(K6.begin() + i); Input.pop_back(); Result.pop_back(); Correction.pop_back();
Size = Tracker.size();
i--;
break;
}
}
else
j++;
}
i++;
}
}
if(t == DBL_MAX) Celestial_Vec->Celestial_Bodies = Temp;
else{
Celestial_Vec->ObjectTracker.clear();
Celestial_Vec->ObjectTracker = Tracker;
update_attributes();
cout << "Final Simulation Result:" << endl;
Display_Objects();
cout << "Enter anything to continue." << endl;
}
//Release other thread
t = -1;
//Join with other thread//
if(pthread_join(UI, NULL) != 0) cout << "Error, unable to rejoin with UI thread." << endl;
cout << "What now?" << endl;
}
double Celestial_Body::Get_R(const vector<Attributes>& Correction, const double h){
double R = 0.0;
double M1,M2;
//Find and obtain the largest magnitude out of every position and velocity vector in the entire list//Max Norm
for(Attributes V : Correction){
M1 = sqrt(pow(V.Rx,2) + pow(V.Ry,2) + pow(V.Rz,2));
M2 = sqrt(pow(V.Vx,2) + pow(V.Vy,2) + pow(V.Vz,2));
if(R < M1 || R < M2)
R = (M1<M2)? M2:M1;
}
R = R/h;
return R;//Return the result divided by the timestep//
}
vector<Attributes>& Celestial_Body::RK_Functions(vector<Attributes> &Temp, vector<Attributes> &Alt){//This code can be parallelized//
Position Result;
//Implementing the functions calculating the components of the K values in the RKF45 algorithm//
for(int Num = 0; Num<Alt.size(); Num++){
Result = Acceleration(Alt, Num);
Temp[Num].Vx = G*Result.Rx;
Temp[Num].Vy = G*Result.Ry;
Temp[Num].Vz = G*Result.Rz;
Temp[Num].Rx = Alt[Num].Vx;
Temp[Num].Ry = Alt[Num].Vy;
Temp[Num].Rz = Alt[Num].Vz;
}
return Temp;
}
Position operator+(const Position &A, const Position &B){
Position C;
C.Rx = A.Rx + B.Rx;
C.Ry = A.Ry + B.Ry;
C.Rz = A.Rz + B.Rz;
return C;
}
Position operator-(const Position &A, const Position &B){
Position C;
C.Rx = A.Rx - B.Rx;
C.Ry = A.Ry - B.Ry;
C.Rz = A.Rz - B.Rz;
return C;
}
Position Celestial_Body::Acceleration(vector<Attributes>& Alt, int Num){
int Curr = 0;
Position Rnum, Rcurr, Result;
//Initialize Position Data Structures: Result and Rnum//
Result.Rx = 0.0;
Result.Ry = 0.0;
Result.Rz = 0.0;
Rnum.Rx = Alt[Num].Rx;
Rnum.Ry = Alt[Num].Ry;
Rnum.Rz = Alt[Num].Rz;
//Calculate the acceleration of Object Num due to the gravitational forces of all other objects//
while(Curr<Alt.size()){
if(Curr != Num){
Rcurr.Rx = Alt[Curr].Rx;
Rcurr.Ry = Alt[Curr].Ry;
Rcurr.Rz = Alt[Curr].Rz;
Result = Result + Calculations(Rnum, Rcurr, Celestial_Vec->Celestial_Bodies[Alt[Curr].ID]->Mass);
}
Curr++;
}
return Result;
}
Position Celestial_Body::Calculations(Position &Num,Position &Curr,const float Mass){
Position R;
double Distance;
//Calculating the acceleration of Object Num due to the gravitational force from Object Curr on Object Num//
R = Curr - Num;
Distance = Distance_Calc(R.Rx,R.Ry,R.Rz);
Distance = pow(Distance,3);
R.Rx = (Mass/Distance)*R.Rx;
R.Ry = (Mass/Distance)*R.Ry;
R.Rz = (Mass/Distance)*R.Rz;
return R;
}
double Celestial_Body::Distance_Calc(const double X, const double Y,const double Z){
return sqrt(X*X + Y*Y + Z*Z);//Return the magnitude of a vector//
}
Attributes Celestial_Body::Momentum(Attributes One, Attributes Two){
double M1,M2;
float Mass1 = Celestial_Vec->Celestial_Bodies[One.ID]->Mass;
float Mass2 = Celestial_Vec->Celestial_Bodies[Two.ID]->Mass;
//Calculating the resulting velocity of Object One due to the inelastic collision of Object Two by using conservation of momentum//
M1 = Mass1/(Mass1 + Mass2);
M2 = Mass2/(Mass1 + Mass2);
One.Vx = M1*One.Vx + M2*Two.Vx;
One.Vy = M1*One.Vy + M2*Two.Vy;
One.Vz = M1*One.Vz + M2*Two.Vz;
Celestial_Vec->Celestial_Bodies[One.ID]->Mass = Mass1 + Mass2;
return One;
}
void Celestial_Body::collision(const double t, vector<Attributes> &Tracker){
double R,D;
Attributes C, T;
int i = 0;
int j;
int Size = Tracker.size();
while(i < Size){
C = Tracker[i];
j = i + 1;
while(j<Size){
T = Tracker[j];
R = Celestial_Vec->Celestial_Bodies[C.ID]->Radius + Celestial_Vec->Celestial_Bodies[T.ID]->Radius;
D = Distance_Calc(C.Rx - T.Rx, C.Ry - T.Ry, C.Rz - T.Rz);
if(D<=R){
if(Celestial_Vec->Celestial_Bodies[T.ID]->Mass <= Celestial_Vec->Celestial_Bodies[C.ID]->Mass){
cout << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for C using the resulting velocity from the collision momentum calculation//
C = Momentum(C,T);
Tracker[i] = C;
//Remove T//
Tracker.erase(Tracker.begin() + j);
Size = Tracker.size();
}
else{
cout << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for T using the resulting velocity from the collision momentum calculation//
T = Momentum(T,C);
Tracker[j] = T;
//Remove C//
Tracker.erase(Tracker.begin() + i);
Size = Tracker.size();
i--;
break;
}
}
else
j++;
}
i++;
}
}
void Celestial_Body::Remove(){
int Count = 0;
for(Attributes Track : Celestial_Vec->ObjectTracker){
if(Track.ID == Values.ID){
Celestial_Vec->ObjectTracker.erase(Celestial_Vec->ObjectTracker.begin() + Count);
break;
}
Count++;
}
Celestial_Vec->SpaceCount--;
}
void Celestial_Body::Final_Sim(double Time, double h, double hmax, double hmin, double e, double Wait, string Target){
//Simulation parameter declarations and instantiations//
vector<Attributes> K1, K1Copy, K2, K2Copy, K3, K3Copy, K4, K4Copy, K5, K5Copy, K6, Input, Result, Correction;
vector<Attributes> Tracker = Celestial_Vec->ObjectTracker;
vector<CelestialPtr> Temp = Celestial_Vec->Celestial_Bodies;
double c[24]; c[0] = 0.25; c[1] = 3.0/32.0; c[2] = 9.0/32.0; c[3] = 1932.0/2197.0;
c[4]= 7200.0/2197.0; c[5] = 7296.0/2197.0; c[6] = 439.0/216.0; c[7] = 8.0;
c[8] = 3680.0/513.0; c[9] = 845.0/4104.0; c[10] = 8.0/27.0; c[11] = 2.0;
c[12] = 3544.0/2565.0; c[13] = 1859.0/4104.0; c[14] = 11.0/40.0; c[15] = 25.0/216.0;
c[16] = 1408.0/2565.0; c[17] = 2197.0/4104.0; c[18] = 0.2; c[19] = 16.0/135.0;
c[20] = 6656.0/12825.0; c[21] = 28561.0/56430.0; c[22] = 9.0/50.0; c[23] = 2.0/55.0;
double R, D, hnext, Rad, Dist, TrackTime; double Distance = DBL_MAX;
bool Trigger, Last; bool Tracking = true;;
int i, j, Size, Rocket_ID, Target_ID;
int Rocketplace = -1; int Launchplace = -1; int Targetplace = -1;
Attributes C, T, RocketShip, Start;
cout << "Initial Values for Objects\n";
Display_Objects();
cout << endl;
double t = 0.0;
cout << "Simulating..." << endl;
collision(t, Tracker);//Check to see if any object starts inside another object//
Initialize_Sim(K1, K1Copy, K2, K2Copy, K3, K3Copy, K4, K4Copy, K5, K5Copy, K6, Input, Result, Correction, Tracker);//Initialize Simulation Vectors//
//Check to see if Rocket, Launch Planet, and Target still exist and are not destroyed
int Count = 0;
bool Fire = false;
for(Attributes Track : Tracker){
if(Celestial_Vec->Celestial_Bodies[Track.ID]->Name == "Rocket"){
Rocketplace = Count;
Rocket_ID = Track.ID;
Fire = true;
}
if(Celestial_Vec->Celestial_Bodies[Track.ID]->Name == Celestial_Vec->get_Launch_Planet()) Launchplace = Count;
if(Celestial_Vec->Celestial_Bodies[Track.ID]->Name == Target){
Targetplace = Count;
Target_ID = Track.ID;
}
Count++;
}
if(Launchplace == -1){
Wait = 0.0;
Fire = false;
cout << "Launch planet destroyed. Aborting launch wait." << endl;
Tracking = false;
}
if(Rocketplace == -1){
Wait = 0.0;
cout << "Rocket destroyed. Aborting launch." << endl;
Tracking = false;
}
if(Targetplace == -1) cout << "Target destroyed. No longer tracking distance from Rocket to Target Planet." << endl;
if(Fire){//Room for a bug here if Rocket was created before launch or target planets
RocketShip = Tracker[Rocketplace];
Start = Tracker[Launchplace];
Celestial_Vec->Celestial_Bodies[Tracker[Launchplace].ID]->Mass += Celestial_Vec->Celestial_Bodies[Tracker[Rocketplace].ID]->Mass;
Tracker.erase(Tracker.begin() + Rocketplace);
K1.clear(); K1.shrink_to_fit(); K1 = Tracker;
K2.clear(); K2.shrink_to_fit(); K2 = Tracker;
K3.clear(); K3.shrink_to_fit(); K3 = Tracker;
K4.clear(); K4.shrink_to_fit(); K4 = Tracker;
K5.clear(); K5.shrink_to_fit(); K5 = Tracker;
K6.clear(); K6.shrink_to_fit(); K6 = Tracker;
}
//1st Simulation Loop//
while(t<Wait){//This code cannot be parallelized//
Trigger = false;
Last = false;
//Runge-Kutta-Fehlberg Method. This is where the simulation magic happens.//
while(true){
if(Trigger)
h = hnext;
if(h == hmin)
Last = true;
K1 = RK_Functions(K1, Tracker);////////////Calculate K1///////////////////
K1Copy = K1;
Input = (c[0]*h)*K1 + Tracker;
K2 = RK_Functions(K2, Input);///////////////Calculate K2///////////////////
K2Copy = K2; K1 = K1Copy;
Input = (c[1]*h)*K1 + (c[2]*h)*K2 + Tracker;
K3 = RK_Functions(K3,Input);///////////////Calculate K3////////////////////
K3Copy = K3; K1 = K1Copy; K2 = K2Copy;
Input = (c[3]*h)*K1 - (c[4]*h)*K2 + (c[5]*h)*K3 + Tracker;
K4 = RK_Functions(K4,Input);///////////////Calculate K4////////////////////
K4Copy = K4; K1 = K1Copy; K2 = K2Copy; K3 = K3Copy;
Input = (c[6]*h)*K1 - (c[7]*h)*K2 + (c[8]*h)*K3 - (c[9]*h)*K4 + Tracker;
K5 = RK_Functions(K5,Input);//////////////Calculate K5/////////////////////
K5Copy = K5; K1 = K1Copy; K2 = K2Copy; K3 = K3Copy; K4 = K4Copy; Result = Tracker;
Input = Result - (c[10]*h)*K1 + (c[11]*h)*K2 - (c[12]*h)*K3 + (c[13]*h)*K4 - (c[14]*h)*K5;
K6 = RK_Functions(K6,Input);///////////////Calculate K6////////////////////
K1 = K1Copy; K3 = K3Copy; K4 = K4Copy; K5 = K5Copy;
Result = (c[15]*h)*K1 + (c[16]*h)*K3 + (c[17]*h)*K4 - (c[18]*h)*K5 + Tracker;
K1 = K1Copy; K3 = K3Copy; K4 = K4Copy; K5 = K5Copy;
Correction = (c[19]*h)*K1 + (c[20]*h)*K3 + (c[21]*h)*K4 - (c[22]*h)*K5 + (c[23]*h)*K6 + Tracker;
Correction = Correction - Result;
R = Get_R(Correction, h);
D = pow((e/(2*R)),0.25);
hnext = D*h;
if(hnext < hmin)
hnext = hmin;
if(R<=e)
break;
if(Last)
break;
Trigger = true;
}
if(hmax < hnext)
hnext = hmax;
t = t + h;
h = hnext;
Tracker = Result;
//Check for collisions//
i = 0;
Size = Tracker.size();
while(i < Size){//This code can be parallelized//
C = Tracker[i];
j = i + 1;
while(j<Size){
T = Tracker[j];
Rad = Celestial_Vec->Celestial_Bodies[C.ID]->Radius + Celestial_Vec->Celestial_Bodies[T.ID]->Radius;
Dist = Distance_Calc(C.Rx - T.Rx, C.Ry - T.Ry, C.Rz - T.Rz);
if(Dist<=Rad){//Collision Handling//
if(Celestial_Vec->Celestial_Bodies[T.ID]->Mass <= Celestial_Vec->Celestial_Bodies[C.ID]->Mass){
cout << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for C using the resulting velocity from the collision momentum calculation//
C = Momentum(C,T);
Tracker[i] = C;
//Decrease Rocket and Planet Tracker position Counts if necessary
if(j < Rocketplace) Rocketplace--;
if(j == Targetplace) Targetplace = -1;
if(j < Targetplace) Targetplace--;
if(j == Launchplace) Launchplace = -1;
if(j < Launchplace) Launchplace--;
//Remove T and decrease size of vectors in algorithm by 1//
Tracker.erase(Tracker.begin() + j);
K1.erase(K1.begin() + j); K1Copy.pop_back(); K2Copy.pop_back(); K2.erase(K2.begin() + j); K3.erase(K3.begin() + j); K3Copy.pop_back();K4.erase(K4.begin() + j);
K4Copy.pop_back(); K5.erase(K5.begin() + j); K5Copy.pop_back(); K6.erase(K6.begin() + j); Input.pop_back(); Result.pop_back(); Correction.pop_back();
Size = Tracker.size();
}
else{
cout << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for T using the resulting velocity from the collision momentum calculation//
T = Momentum(T,C);
Tracker[j] = T;
if(i < Rocketplace) Rocketplace--;
if(i == Targetplace) Targetplace = -1;
if(i < Targetplace) Targetplace--;
if(i == Launchplace) Launchplace = -1;
if(i < Launchplace) Launchplace--;
//Remove C and decrease size of vectors in algorithm by 1//
Tracker.erase(Tracker.begin() + i);
K1.erase(K1.begin() + i); K1Copy.pop_back(); K2Copy.pop_back(); K2.erase(K2.begin() + i); K3.erase(K3.begin() + i); K3Copy.pop_back();K4.erase(K4.begin() + i);
K4Copy.pop_back(); K5.erase(K5.begin() + i); K5Copy.pop_back(); K6.erase(K6.begin() + i); Input.pop_back(); Result.pop_back(); Correction.pop_back();
Size = Tracker.size();
i--;
break;
}
}
else
j++;
}
i++;
}
}
if(Fire){
//Check to see if Rocket/Launch Planet/Target is still intact//
if(Launchplace != -1){
Celestial_Vec->Celestial_Bodies[Tracker[Launchplace].ID]->Mass -= Celestial_Vec->Celestial_Bodies[RocketShip.ID]->Mass;
//Update position and velocity of RocketShip//
RocketShip.Rx = RocketShip.Rx - Start.Rx + Tracker[Launchplace].Rx;
RocketShip.Ry = RocketShip.Ry - Start.Ry + Tracker[Launchplace].Ry;
RocketShip.Rz = RocketShip.Rz - Start.Rz + Tracker[Launchplace].Rz;
RocketShip.Vx = RocketShip.Vx - Start.Vx + Tracker[Launchplace].Vx;
RocketShip.Vy = RocketShip.Vy - Start.Vy + Tracker[Launchplace].Vy;
RocketShip.Vz = RocketShip.Vz - Start.Vz + Tracker[Launchplace].Vz;
//Reinsert RocketShip into ObjectTracker//
Tracker.insert(Tracker.begin() + Rocketplace, RocketShip);//Consider replacing with push_back//
//Update other vectors...
K1.clear(); K1.shrink_to_fit(); K1 = Tracker;
K2.clear(); K2.shrink_to_fit(); K2 = Tracker;
K3.clear(); K3.shrink_to_fit(); K3 = Tracker;
K4.clear(); K4.shrink_to_fit(); K4 = Tracker;
K5.clear(); K5.shrink_to_fit(); K5 = Tracker;
K6.clear(); K6.shrink_to_fit(); K6 = Tracker;
cout << "Launching Rocket..." << endl;
if(Targetplace == -1){
cout << "Target was destroyed. No longer tracking distance from Rocket to Target." << endl;
Tracking = false;
}
}
else{
cout << "Launch Planet and Rocket were destroyed. Rocket Launch aborted." << endl;
Tracking = false;
}
}
//2nd Simulation Loop Post Rocket Launch//
while(t<Time){
Trigger = false;
Last = false;
//Runge-Kutta-Fehlberg Method//
while(true){
if(Trigger)
h = hnext;
if(h == hmin)
Last = true;
K1 = RK_Functions(K1, Tracker);////////////Calculate K1///////////////////
K1Copy = K1;
Input = (c[0]*h)*K1 + Tracker;
K2 = RK_Functions(K2, Input);///////////////Calculate K2///////////////////
K2Copy = K2; K1 = K1Copy;
Input = (c[1]*h)*K1 + (c[2]*h)*K2 + Tracker;
K3 = RK_Functions(K3,Input);///////////////Calculate K3////////////////////
K3Copy = K3; K1 = K1Copy; K2 = K2Copy;
Input = (c[3]*h)*K1 - (c[4]*h)*K2 + (c[5]*h)*K3 + Tracker;
K4 = RK_Functions(K4,Input);///////////////Calculate K4////////////////////
K4Copy = K4; K1 = K1Copy; K2 = K2Copy; K3 = K3Copy;
Input = (c[6]*h)*K1 - (c[7]*h)*K2 + (c[8]*h)*K3 - (c[9]*h)*K4 + Tracker;
K5 = RK_Functions(K5,Input);//////////////Calculate K5/////////////////////
K5Copy = K5; K1 = K1Copy; K2 = K2Copy; K3 = K3Copy; K4 = K4Copy; Result = Tracker;
Input = Result - (c[10]*h)*K1 + (c[11]*h)*K2 - (c[12]*h)*K3 + (c[13]*h)*K4 - (c[14]*h)*K5;
K6 = RK_Functions(K6,Input);///////////////Calculate K6////////////////////
K1 = K1Copy; K3 = K3Copy; K4 = K4Copy; K5 = K5Copy;
Result = (c[15]*h)*K1 + (c[16]*h)*K3 + (c[17]*h)*K4 - (c[18]*h)*K5 + Tracker;
K1 = K1Copy; K3 = K3Copy; K4 = K4Copy; K5 = K5Copy;
Correction = (c[19]*h)*K1 + (c[20]*h)*K3 + (c[21]*h)*K4 - (c[22]*h)*K5 + (c[23]*h)*K6 + Tracker;
Correction = Correction - Result;
R = Get_R(Correction, h);
D = pow((e/(2*R)),0.25);
hnext = D*h;
if(hnext < hmin)
hnext = hmin;
if(R<=e)
break;
if(Last)
break;
Trigger = true;
}
if(hmax < hnext)
hnext = hmax;
t = t + h;
h = hnext;
Tracker = Result;
//Update Smallest distance between Rocket and Target if necessary//
if(Tracking){
C = Tracker[Rocketplace];
T = Tracker[Targetplace];
Dist = Distance_Calc(C.Rx - T.Rx, C.Ry - T.Ry, C.Rz - T.Rz);
if(Dist < Distance){
Distance = Dist;
TrackTime = t - Wait;
}
}
//Check for collisions//
i = 0;
Size = Tracker.size();
while(i < Size){
C = Tracker[i];
j = i + 1;
while(j<Size){
T = Tracker[j];
Rad = Celestial_Vec->Celestial_Bodies[C.ID]->Radius + Celestial_Vec->Celestial_Bodies[T.ID]->Radius;
Dist = Distance_Calc(C.Rx - T.Rx, C.Ry - T.Ry, C.Rz - T.Rz);
if(Dist<=Rad){//Collision Handling//
if(Celestial_Vec->Celestial_Bodies[T.ID]->Mass <= Celestial_Vec->Celestial_Bodies[C.ID]->Mass){
cout << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for C using the resulting velocity from the collision momentum calculation//
C = Momentum(C,T);
Tracker[i] = C;
if(j == Rocketplace){
cout << "Rocket destroyed. No longer tracking distance between Rocket and Target." << endl;
Rocketplace = -1;
Tracking = false;
}
if(j < Rocketplace) Rocketplace--;
if(j == Targetplace){
cout << "Target destroyed. No longer tracking distance between Rocket and Target." << endl;
Targetplace = -1;
Tracking = false;
}
if(j < Targetplace) Targetplace--;
//Remove T and decrease size of vectors in algorithm by 1//
Tracker.erase(Tracker.begin() + j);
K1.erase(K1.begin() + j); K1Copy.pop_back(); K2Copy.pop_back(); K2.erase(K2.begin() + j); K3.erase(K3.begin() + j); K3Copy.pop_back();K4.erase(K4.begin() + j);
K4Copy.pop_back(); K5.erase(K5.begin() + j); K5Copy.pop_back(); K6.erase(K6.begin() + j); Input.pop_back(); Result.pop_back(); Correction.pop_back();
Size = Tracker.size();
}
else{
cout << Celestial_Vec->Celestial_Bodies[C.ID]->Name << " crashed into " << Celestial_Vec->Celestial_Bodies[T.ID]->Name << " at time: " << t << endl << endl;
//Update the Attributes value for T using the resulting velocity from the collision momentum calculation//
T = Momentum(T,C);
Tracker[j] = T;
if(i == Rocketplace){
cout << "Rocket destroyed. No longer tracking distance between Rocket and Target." << endl;
Rocketplace = -1;
Tracking = false;
}
if(i < Rocketplace) Rocketplace--;
if(i == Targetplace){
cout << "Target destroyed. No longer tracking distance between Rocket and Target." << endl;
Targetplace = -1;
Tracking = false;
}
if(i < Targetplace) Targetplace--;
//Remove C and decrease size of vectors in algorithm by 1//
Tracker.erase(Tracker.begin() + i);
K1.erase(K1.begin() + i); K1Copy.pop_back(); K2Copy.pop_back(); K2.erase(K2.begin() + i); K3.erase(K3.begin() + i); K3Copy.pop_back();K4.erase(K4.begin() + i);
K4Copy.pop_back(); K5.erase(K5.begin() + i); K5Copy.pop_back(); K6.erase(K6.begin() + i); Input.pop_back(); Result.pop_back(); Correction.pop_back();
Size = Tracker.size();
i--;
break;
}
}
else
j++;
}
i++;
}
}
cout << "Final Simulation Result:" << endl;
cout << "Displaying Surviving Objects: " << endl;
for (Attributes Track : Tracker){
cout << "////////////////////////////////////////////////////////" << endl;