autosave

Final stuff(M & B)/Algorithm.cpp

+#include "Algorithm.h"
+#include <deque>
+#include <utility>
+#include <cmath>
+#include <iostream>
+#include <iomanip>
+const bool DEBUG = true;
+
+//the main algorithm function converts 
+using namespace std;
+//const int COl_MAX = 24;
+//const int ROW_MAX = 180;
+
+//converts horizontal coordinates to cartesian coordinates in xyz where alt is the altitude angle and azi is Azimuth angle
+void horizontalToCart(double alt, double azi, double &x, double &y, double &z){
+    //convertion of Horizontal coordinates to cartesian coordinates
+    alt = alt * (M_PI / 180);
+    azi = azi * (M_PI / 180);
+    z = sin(alt);
+    x = cos(alt) * cos(azi);
+    y = -1 * cos(alt) * sin(azi);
+}
+
+//converts the latitude to theta 
+double latToTheta(double lat){
+    double theta;
+    //loat L = lat * (M_PI / 180);
+    theta = (90 - lat);
+    return theta;
+}
+
+//converts the time to phi
+double timeToPhi(int year, double hours, double longitude){
+    float phi;
+    float date = GMST(year, hours);
+    
+    //converts the longitude into radians
+    float lam = longitude * (M_PI / 180);
+    
+    //calculates phi;
+    phi = date * ((2 * M_PI) / 24) - lam;
+    
+    
+    return phi;
+}
+
+//convert the date to a julian date;
+double julian(double year, double hours){
+    double leap = 0;
+    double notLeap, dayFract, dayWhole;
+    double julian, years, days, seconds, hoursLeft;
+    years = year + 4712;//years is current year (AD or CE) 4713 is the start of the julian calender 1 is 0 AD/CE
+    if(DEBUG){
+        clog << "DEBUG: years has a value of: " << years << endl;
+    }
+    for(int i = -4713; i <= year; i++){ //counts number of leap years
+        if(i < 1582){//before the switch to gregorian calenders, leap years were every 4 years
+            if(i % 4 == 0){
+                leap++;
+               /* if(DEBUG){
+                    clog <<"DEBUG: " << i << " is a leap year." << endl;
+                } */
+            }
+        }else{ //after the switch the gregorian calenders, leap years weren't counted on centries unless it was divisible by 0
+            if(i % 4 == 0){
+                if(i % 100 == 0){
+                    if(DEBUG){
+                        clog << "DEBUG: The year is " << i;
+                    }
+                    if(i % 400 == 0){
+                        leap++;
+                        if(DEBUG){
+                            clog << ", and its a leap year." << endl;
+                        }
+                    } else {
+                        if(DEBUG){
+                            clog << endl;
+                        }
+                    }
+                } else {
+                    leap++;
+                    /* if(DEBUG){
+                        clog << "DEBUG: " << i << " is a leap year." << endl;
+                    } */
+                }
+                
+            }
+        }
+    }
+    notLeap = years - leap;
+    if(DEBUG){
+        clog << "DEBUG: There are " << leap << " leap years and " << notLeap << " non leap years totalling " << leap + notLeap << " years." << endl;
+    }
+    days = (leap * 366) + (notLeap * 365) - 10;
+    if(DEBUG){
+        clog << "DEBUG: days of leap years is: " << leap * 366 << ". Days of non leap years is: " << notLeap * 365 <<"." << endl
+             << "DEBUG: The current value of Days is: " << days << endl;
+    }
+    dayFract = modf((hours / 24), &dayWhole);
+    if(DEBUG){
+        clog << "DEBUG: The value of dayFract is: " << dayFract << " and the value of dayWhole is: " << dayWhole << endl;
+    }
+    days += dayWhole;
+    hoursLeft = dayFract * 24;//counts the left over hours that aren't days
+    /*if(hoursLeft != 0){
+        if(hoursLeft >= 12) { //turns the left over hours into seconds since noon (12pm)
+            seconds = (hoursLeft - 12) * 360;
+        } else {
+            seconds = (hoursLeft + 12) * 360;
+        }
+    } else {
+        //seconds = 43200;
+    }*/
+    if(DEBUG){
+        clog <<fixed << setprecision(6) << "DEBUG: Days has a value of " << days << " hoursLeft has a value of " << hoursLeft << " while seconds has value of: " << seconds << endl;
+    }
+    //days += (seconds / 86400);
+    days += hoursLeft/24;
+    days -= 1;
+    days += 0.5;
+    if(DEBUG){
+        clog << "DEBUG: the julian date is: " << days << endl;
+    }
+    return days;
+}
+
+//converts the hours and year to GMST (Greenwich Mean Sidereal Time)
+double GMST(int year, double hours){
+    //JD is the julian date (days since jan 1st, 4713 BC) and D is days since Jan 1st 2000
+    double D, GMST, temp, JD0;
+    //double hoursLeft = modf((hours/24), &temp) * 24; // hours since the previous midnight
+    double hoursLeft;
+    double JD = julian(year, hours);
+    //double JDmin = floor(JD) - 0.5;
+    //double JDmax = floor(JD) + 0.5;
+    JD0 = floor(JD) + 0.5;
+    D = (JD - 2451545.0);
+    double D0 = JD0 - 2451545.0;
+    double T = D/36525; // centuries since Jan 1st 2000 AD
+    hoursLeft = (JD - JD0) *24;
+    /*if(JD > JD0){
+        hoursLeft = (JD - JD0) *24; 
+    } else {
+        hoursLeft = (JD0 - JD) *24;
+    }*/
+    if(DEBUG){
+        clog << fixed << setprecision(10) << "DEBUG: The GMST in days is: " << D << endl
+             << "DEBUG: The value of JD is: " << JD << endl
+             << "DEBUG: The value of JD0 is: " << JD0 << " and the value of D0 " << D0 << endl;
+    }
+    temp =  6.697374558 + (0.06570982441908*D0) + (1.00273790935*hoursLeft) + (0.000026 * pow(T, 2));
+    //temp = 
+    if(DEBUG){
+        clog << fixed << "DEBUG: D has a value of: " << D << endl
+             << "DEBUG: temp has a value of: "  << temp << endl
+             << "DEBUG: hours left has a value of: " << hoursLeft << endl;
+    }
+    GMST = fmod(temp, 24) ;
+    if(DEBUG){
+        clog << "DEBUG: GMST has a value of: " << GMST << endl;
+    }
+    return GMST;
+}
+
+
+
+//converts geographic coordinates to celestial coooriantes (right ascention and deckination) and retruns a deque with the names of all the constellations
+//latAndLongpair has lat as the first and long as the second
+//alt and azi pair has altitude as the first and azimuth as the second
+pair<double,double> algorithm(double hours, pair<double, double> latAndLongPair, pair<double, double> altAndAziPair, int year){
+    //declaraton of variables
+    pair<double,double> raAndDecPair;
+    double phi = latAndLongPair.first * (M_PI / 180);
+    double hourAngle;
+    double alpha, sigma, temp;
+    double a = altAndAziPair.first  * (M_PI / 180); // altitude
+    double A = altAndAziPair.second * (M_PI / 180); // azimuth
+    double lat = latAndLongPair.first; // latitude
+    double Long = latAndLongPair.second * (M_PI / 180); // longitude
+    double hoursLeft = modf((hours/24), &temp) * 24;
+    double Time = (GMST(year, hours) * 15) * (M_PI / 180);
+   
+    
+    
+    temp = ((sin(a)*sin(phi)) + (cos(a) * cos(phi) * cos(A)));
+    sigma = asin(temp);
+    hourAngle = -1 * (sin(A) * cos(a)) / cos(sigma);
+    //hourAngle = (sin(a) - (sin(sigma)*sin(phi))) / (cos(sigma) * cos(phi));
+    
+    
+    alpha = (Time - Long) - asin(hourAngle);
+    if(DEBUG){
+        clog << fixed << setprecision(10) << "DEBUG: hourAngle has a value of: " << hourAngle  << endl
+             << "DEBUG: temp has a value of: " << temp  << " and the arcsine of temp is: " << asin(temp)  << endl
+             << "DEBUG: sigma then has a value of: " << sigma * (180 / M_PI) << endl
+             << "DEBUG: alpha has a value of: " << alpha << " which means that the LST is: " << (Time - Long) * (180 / M_PI) << " and the hour angle is " << hourAngle << " and the arccos of the hour angle is: " << asin(hourAngle) * (180 / M_PI) << endl;
+        //clog << "DEBUG: alpha has a value of: " << alpha << " and sigma has a value of: " << sigma  * (180 / M_PI)<< endl;
+    }
+   
+    raAndDecPair.first = (alpha * (180 / M_PI)) / 15;
+    raAndDecPair.second = sigma * (180 / M_PI);
+    if(DEBUG){
+        clog << "DEBUG: The final point is: (" << raAndDecPair.first << "," << raAndDecPair.second << ")." << endl;
+    }
+    
+    return raAndDecPair;
+    
+}
+
+

Final stuff(M & B)/Functions.h

+#include <string>
+#include <vector>
+using namespace std;
+
+
+int yearPrompt (); // Prompts and checks year input
+
+string monthPrompt (); // Prompts and checks month input
+
+int dayPrompt (string month, int year); // Prompts and checks day input
+
+int hourPrompt (); // Prompts and checks hour input
+
+int minutePrompt (); // Prompts and checks minute input
+
+double dateToHour (string month, int year, int day, int hour, int minute); // Converts full date to hour
+
+pair<double,double> altAndAziPair (); // Creates pair of alitutude and azimuth
+
+bool isLeap (int year); // Bool check for leap year
+
+vector <pair<double, double>> viewFinder (pair <double, double> centerPt); // function that returns the coordinates of the viewing window
+
+vector <pair<double, double>> constellationCoordinates (); // function that stores the coordinates of all the constellations
+
+void printConstellation (vector <pair<double,double>> constellationCoordinates, vector <pair<double,double>> window); // function to print the constellations
+
+string constellationNamer (int index); // funciton to name all the constellations
+
+void constellationOutputter (int index); // function to output the images of the constellations
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Final stuff(M & B)/main.cpp

+#include <iostream> 
+#include "Functions.h"
+#include "countries.h"
+#include "Algorithm.h"
+#include <vector>
+#include <string>
+#include <utility>
+
+using namespace std;
+
+int main () {
+    //variables
+    string monthInput;
+    char endMenu;
+    int monthDay = 0;
+    int yearInput = 0;
+    int hourInput = 0;
+    int minuteInput = 0;
+    double hoursSinceYear = 0;
+    pair <double,double> AltAndAziPair;
+    pair <double, double> longAndLatPair;
+    vector <pair<double,double>> window;
+    vector <pair<double,double>> coordinates;
+    
+    
+    cout <<  "==============Welcome to the Star-Gazer v 1.0==============" << endl;
+    do {
+        yearInput = yearPrompt();
+        
+        monthInput = monthPrompt();
+        
+        monthDay = dayPrompt(monthInput, yearInput);
+        
+        hourInput = hourPrompt();
+        
+        minuteInput = minutePrompt();
+        
+        AltAndAziPair = altAndAziPair ();
+        
+        printCities();
+        
+        longAndLatPair = longAndLat();
+        
+        //calculating the julian date
+        // cout << "if the date is January 27, 2017 at 5:45:54.6 pm, the julian date function should return 2457781.240208." << endl
+        //      << "It actually returns: " << julian(2017, 641.9) << endl;
+             
+             
+        // cout << "if the date is January 1, 2000 at 00:00:00, the GMST date function should return: 6.79519916667." << endl
+        //      << "It actually returns: " << GMST(2000, 0) << endl;
+        // //converting time and longitude to phi
+        /*cout << "if its January 27, 2034, 5:45 pm at a longitude of 49 the, phi should equal 4.65147698949." << endl
+             << "Phi actually equals: " << timeToPhi(2034, 641.765166667, 49) << endl;*/
+             
+        //test the algorithm as a whole
+        // pair<double, double> test;
+        // test.first = -46;
+        // test.second = 89;
+        // pair<double,double> horizontal;
+        // horizontal.first = 20;
+        // horizontal.second = 270;
+        hoursSinceYear = dateToHour(monthInput, yearInput, monthDay, hourInput, minuteInput);
+        
+        pair<double,double> returnValue;
+        returnValue = algorithm(hoursSinceYear, longAndLatPair, AltAndAziPair, yearInput);
+        cout << "The algorithm function, when its January 27, 2017, at 5:45:54 pm, at a lat and long of -46,89 and when looking at the sky at 20, 270 (in horizontal coordinates), gives: " << endl
+             << "Right ascention of: " << returnValue.first << " and a declination of: " << returnValue.second << endl;
+             
+        window = viewFinder(returnValue);
+        coordinates = constellationCoordinates();
+        
+        printConstellation(coordinates, window);
+        
+        
+            
+    } while (false);
+        
+        
+    //cout << dateToHour(yearInput, monthInput, monthDay, hourInput, minuteInput) << endl;
+    return 0; 
+}
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README.md

+Prefice: We haven't mapped every constellation which means according to our code 
+there will be points and times where there will be no constellations.  
 Project 3 things:
 Libraries:
 - locations 
@@ -23,4 +25,7 @@ Who does what (tentative):
 - Algorithm (Eric)
 - 
 
-The project that Eric, Brandon
\ No newline at end of file
+- star.cpp/h: Elizabeth
+- coordinates/countries: Elon
+- Algorithm.cpp/h: Eric
+- Functions/main.cpp: Brandon and Moses
\ No newline at end of file

Star Array(Elizabeth)/main.cpp

+/**********************************
+ * File: main.cpp
+ * Description: testing file
+ * **************************/
+
+#include <iostream>
+#include "Stars.h"
+using namespace std;
+
+int main() {
+    
+    Stars s;
+    s.Pegasus();
+    
+    
+    
+  
+    return 0;
+}
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