/*
 Benjamin Parker
 Jonathan Tolentino
 CMPS 345 Term Project (Problem #4)
 Arbitrage Algorithm
 12/21/15
 
 DESCRIPTION
 This program will use an implementation of the Floyd-Warshall algorithm to
 determine if an arbitrage exists in a matrix of 50 currencies, starting
 with USD.
*/
 
#include <iostream>
#include <iomanip>
#include <cstdlib>
#include <math.h>
#include <list>
using namespace std;
 
int main()
{
	double rates[50][50];
	enum curr
	{
		USD = 0, EUR, BIT, ALK, APO, CAD, BPD, CYN, JPY, ALD,
		AGK, ARD, ABF, AUD, BGT, BLR, BGF, BED, BOB, BAR,
		BBD, CID, CLP, CRC, CCP, COP, DKK, ETB, FJD, GTQ,
		HTG, INR, JEP, KES, LKR, MMK, NZD, OMR, PAB, PHP,
		PLN, RON, SAR, SLL, SEK, THB, TTD, VEF, VND, ZWD
	};
 
	//Exchange rates from USD to other currencies
	rates[USD][USD] = 1.00;
	rates[USD][EUR] = 0.92;
	rates[USD][BIT] = 0.0028;
	rates[USD][ALK] = 125.93;
	rates[USD][APO] = 9.68;
	rates[USD][CAD] = 1.34;
	rates[USD][BPD] = 0.66;
	rates[USD][CYN] = 6.39;
	rates[USD][JPY] = 122.59;
	rates[USD][ALD] = 107.25;
	rates[USD][AGK] = 134.82;
	rates[USD][ARD] = 484.59;
	rates[USD][ABF] = 1.79;
	rates[USD][AUD] = 1.37;
	rates[USD][BGT] = 75.54;
	rates[USD][BLR] = 18160.00;
	rates[USD][BGF] = 36.9309;
	rates[USD][BED] = 2.00;
	rates[USD][BOB] = 6.91;
	rates[USD][BAR] = 3.76;
	rates[USD][BBD] = 2.00;
	rates[USD][CID] = 0.82;
	rates[USD][CLP] = 701.20;
	rates[USD][CRC] = 531.18;
	rates[USD][CCP] = 1.00;
	rates[USD][COP] = 3202.10;
	rates[USD][DKK] = 0.145;
	rates[USD][ETB] = 21.09;
	rates[USD][FJD] = 2.13;
	rates[USD][GTQ] = 7.61;
	rates[USD][HTG] = 56.17;
	rates[USD][INR] = 66.65;
	rates[USD][JEP] = 0.66;
	rates[USD][KES] = 102.20;
	rates[USD][LKR] = 143.12;
	rates[USD][MMK] = 1247.65;
	rates[USD][NZD] = 1.48;
	rates[USD][OMR] = 0.39;
	rates[USD][PAB] = 1.00;
	rates[USD][PHP] = 46.99;
	rates[USD][PLN] = 3.97;
	rates[USD][RON] = 4.12;
	rates[USD][SAR] = 3.75;
	rates[USD][SLL] = 4115.00;
	rates[USD][SEK] = 8.48;
	rates[USD][THB] = 35.76;
	rates[USD][TTD] = 6.38;
	rates[USD][VEF] = 6.35;
	rates[USD][VND] = 22480.00;
	rates[USD][ZWD] = 361.900;
 
 
	double converter;
	double variation;
	int plumin;
	srand(7);
 
	// Randomly generate the other exchange rates with variations
	// between 0 and 2%
	for (int i = 1; i < 50; i++)
	{
		converter = 1 / rates[USD][i];
		for (int j = 0; j < 50; j++)
		{
			rates[i][j] = rates[USD][j] * converter;
			variation = rand() % 3;
			variation = rates[i][j] * (variation / 100);
			plumin = rand() % 2;
			if (plumin == 0)
			{
				rates[i][j] = rates[i][j] - variation;
			}
			else
			{
				rates[i][j] = rates[i][j] + variation;
			}
		}
	}//END for()- Randomly generate the other exchange rates
 
 
	// Convert the exchange rates, x into -log(x)
	double logRates[50][50];
 
	for (int i = 0; i < 50; i++)
	{
		for (int j = 0; j < 50; j++)
		{
			logRates[i][j] = -log(rates[i][j]);
		}
	}//END for()- Convert the exchange rates, x into -log(x)
 
					//Floyd-Warshall Allogrithm
	// Initialize the distance and conversion path matricies
	double d[50][50];			// Exchange rate from currency i to currency j 
	int next[50][50];			// Index of the next node
 
	for (int i = 0; i < 50; i++)
	{
		for (int j = 0; j < 50; j++)
		{
			if (logRates[i][j] != 0)
			{
				d[i][j] = logRates[i][j];
				next[i][j] = j;
			}
 
			else
			{
				d[i][j] = INFINITY;
				next[i][j] = j;
			}
		}
	}//END for() - Initialize the distance and conversion path matricies
 
	// Check all possible currency conversions
	for (int k = 0; k < 50; k++)
	{
		for (int i = 0; i < 50; i++)
		{
			for (int j = 0; j < 50; j++)
			{
				if (d[i][j] > (d[i][k] + d[k][j]))
				{
					d[i][j] = (d[i][k] + d[k][j]);
					next[i][j] = next[i][k];
				}
			}
		}
	}//END for() - Check all possible currency conversions
 
	// Check for the presence of a negative cycle and construct the path of the arbitrage
	bool nc = false;	// Flag to determine if the graph has a negative cycle
	list<int> cycle;	// List of currencies that make up a negative cycle		
	int path;			// The path of currencies in the negative cycle
	int first;			// The source currency
	int last;			// The previous currency on the path
 
	for (int i = 0; i < 50; i++)
	{
		if (d[i][i] < 0)
		{
			nc = true;
			path = last = first = i;
			do {
				path = next[path][i];
				last = path;
				cycle.push_back(path);
			} while (last != first);
			break;
		}
 
	}//END for() - Check for the presence of a negative cycle 
 
	// Determine the path of conversions for the arbitrage
	if(nc)
	{
		cout << "An arbitrage was found!" << endl;
		cout << "The following is the conversion from USD which" << endl;
		cout << "leads to an arbitrage: " << endl;
		cout << "USD";
		for (list<int>::iterator c = cycle.begin(); c != cycle.end(); c++)
		{
			cout << " -> ";
 
			switch (*c)
			{
				case 0:
				{
					cout << "USD";
					break;
				}
 
				case 1:
				{
					cout << "EUR";
					break;
				}
 
				case 2:
				{
					cout << "BIT";
					break;
				}
 
				case 3:
				{
					cout << "ALK";
					break;
				}
 
				case 4:
				{
					cout << "APO";
					break;
				}
 
				case 5:
				{
					cout << "CAD";
					break;
				}
 
				case 6:
				{
					cout << "BPD";
					break;
				}
 
				case 7:
				{
					cout << "CYN";
					break;
				}
 
				case 8:
				{
					cout << "JPY";
					break;
				}
 
				case 9:
				{
					cout << "ALD";
					break;
				}
 
				case 10:
				{
					cout << "AGK";
					break;
				}
 
				case 11:
				{
					cout << "ARD";
					break;
				}
 
				case 12:
				{
					cout << "ABF";
					break;
				}
 
				case 13:
				{
					cout << "AUD";
					break;
				}
 
				case 14:
				{
					cout << "BGT";
					break;
				}
 
				case 15:
				{
					cout << "BLR";
					break;
				}
 
				case 16:
				{
					cout << "BGF";
					break;
				}
 
				case 17:
				{
					cout << "BED";
					break;
				}
 
				case 18:
				{
					cout << "BOB";
					break;
				}
 
				case 19:
				{
					cout << "BAR";
					break;
				}
 
				case 20:
				{
					cout << "BBD";
					break;
				}
 
				case 21:
				{
					cout << "CID";
					break;
				}
 
				case 22:
				{
					cout << "CLP";
					break;
				}
 
				case 23:
				{
					cout << "CRC";
					break;
				}
 
				case 24:
				{
					cout << "CCP";
					break;
				}
 
				case 25:
				{
					cout << "COP";
					break;
				}
 
				case 26:
				{
					cout << "DKK";
					break;
				}
 
				case 27:
				{
					cout << "ETB";
					break;
				}
 
				case 28:
				{
					cout << "FJD";
					break;
				}
 
				case 29:
				{
					cout << "GTQ";
					break;
				}
 
				case 30:
				{
					cout << "HTG";
					break;
				}
 
				case 31:
				{
					cout << "INR";
					break;
				}
 
				case 32:
				{
					cout << "JEP";
					break;
				}
 
				case 33:
				{
					cout << "KES";
					break;
				}
 
				case 34:
				{
					cout << "LKR";
					break;
				}
 
				case 35:
				{
					cout << "MMK";
					break;
				}
 
				case 36:
				{
					cout << "NZD"; 
					break;
				}
 
				case 37:
				{
					cout << "OMR";
					break;
				}
 
				case 38:
				{
					cout << "PAB";
					break;
				}
 
				case 39:
				{
					cout << "PHP";
					break;
				}
 
				case 40:
				{
					cout << "PLN";
					break;
				}
 
				case 41:
				{
					cout << "RON";
					break;
				}
 
				case 42:
				{
					cout << "SAR";
					break;
				}
 
				case 43:
				{
					cout << "SLL";
					break;
				}
 
				case 44:
				{
					cout << "SEK";
					break;
				}
 
				case 45:
				{
					cout << "THB";
					break;
				}
 
				case 46:
				{
					cout << "TTD";
					break;
				}
 
				case 47:
				{
					cout << "VEF";
					break;
				}
 
				case 48:
				{
					cout << "VND";
					break;
				}
 
				case 49:
				{
					cout << "ZWD";
					break;
				}
 
				default:
				{
					cout << "\n Currency not found." << endl;
					break;
				}
			}//END switch() - currency path	
		}
	}//END if()- Determine the path of conversions for the arbitrage
 
	 // No arbitrage exists
	else
	{
		cout << "No arbitrage was found from USD" << endl;
	}
 
	// Since the seed is fixed the path is the same on each run:
	cout << endl;
	cout << rates[USD][USD] << "USD * " << rates[USD][BIT] << "BIT * " << rates[BIT][EUR] << "EUR * " << rates[EUR][USD] << "USD = " ;
	cout << " " << fixed << showpoint << setprecision(4) << rates[USD][BIT] * rates[BIT][EUR] * rates[EUR][USD] << "USD";
 
	cout << endl;
	//system("pause");
}

/*
 Benjamin Parker
 Jonathan Tolentino
 CMPS 345 Term Project (Problem #4)
 Arbitrage Algorithm
 12/21/15

 DESCRIPTION
 This program will use an implementation of the Floyd-Warshall algorithm to
 determine if an arbitrage exists in a matrix of 50 currencies, starting
 with USD.
*/

#include <iostream>
#include <iomanip>
#include <cstdlib>
#include <math.h>
#include <list>
using namespace std;

int main()
{
	double rates[50][50];
	enum curr
	{
		USD = 0, EUR, BIT, ALK, APO, CAD, BPD, CYN, JPY, ALD,
		AGK, ARD, ABF, AUD, BGT, BLR, BGF, BED, BOB, BAR,
		BBD, CID, CLP, CRC, CCP, COP, DKK, ETB, FJD, GTQ,
		HTG, INR, JEP, KES, LKR, MMK, NZD, OMR, PAB, PHP,
		PLN, RON, SAR, SLL, SEK, THB, TTD, VEF, VND, ZWD
	};

	//Exchange rates from USD to other currencies
	rates[USD][USD] = 1.00;
	rates[USD][EUR] = 0.92;
	rates[USD][BIT] = 0.0028;
	rates[USD][ALK] = 125.93;
	rates[USD][APO] = 9.68;
	rates[USD][CAD] = 1.34;
	rates[USD][BPD] = 0.66;
	rates[USD][CYN] = 6.39;
	rates[USD][JPY] = 122.59;
	rates[USD][ALD] = 107.25;
	rates[USD][AGK] = 134.82;
	rates[USD][ARD] = 484.59;
	rates[USD][ABF] = 1.79;
	rates[USD][AUD] = 1.37;
	rates[USD][BGT] = 75.54;
	rates[USD][BLR] = 18160.00;
	rates[USD][BGF] = 36.9309;
	rates[USD][BED] = 2.00;
	rates[USD][BOB] = 6.91;
	rates[USD][BAR] = 3.76;
	rates[USD][BBD] = 2.00;
	rates[USD][CID] = 0.82;
	rates[USD][CLP] = 701.20;
	rates[USD][CRC] = 531.18;
	rates[USD][CCP] = 1.00;
	rates[USD][COP] = 3202.10;
	rates[USD][DKK] = 0.145;
	rates[USD][ETB] = 21.09;
	rates[USD][FJD] = 2.13;
	rates[USD][GTQ] = 7.61;
	rates[USD][HTG] = 56.17;
	rates[USD][INR] = 66.65;
	rates[USD][JEP] = 0.66;
	rates[USD][KES] = 102.20;
	rates[USD][LKR] = 143.12;
	rates[USD][MMK] = 1247.65;
	rates[USD][NZD] = 1.48;
	rates[USD][OMR] = 0.39;
	rates[USD][PAB] = 1.00;
	rates[USD][PHP] = 46.99;
	rates[USD][PLN] = 3.97;
	rates[USD][RON] = 4.12;
	rates[USD][SAR] = 3.75;
	rates[USD][SLL] = 4115.00;
	rates[USD][SEK] = 8.48;
	rates[USD][THB] = 35.76;
	rates[USD][TTD] = 6.38;
	rates[USD][VEF] = 6.35;
	rates[USD][VND] = 22480.00;
	rates[USD][ZWD] = 361.900;


	double converter;
	double variation;
	int plumin;
	srand(7);

	// Randomly generate the other exchange rates with variations
	// between 0 and 2%
	for (int i = 1; i < 50; i++)
	{
		converter = 1 / rates[USD][i];
		for (int j = 0; j < 50; j++)
		{
			rates[i][j] = rates[USD][j] * converter;
			variation = rand() % 3;
			variation = rates[i][j] * (variation / 100);
			plumin = rand() % 2;
			if (plumin == 0)
			{
				rates[i][j] = rates[i][j] - variation;
			}
			else
			{
				rates[i][j] = rates[i][j] + variation;
			}
		}
	}//END for()- Randomly generate the other exchange rates


	// Convert the exchange rates, x into -log(x)
	double logRates[50][50];

	for (int i = 0; i < 50; i++)
	{
		for (int j = 0; j < 50; j++)
		{
			logRates[i][j] = -log(rates[i][j]);
		}
	}//END for()- Convert the exchange rates, x into -log(x)

					//Floyd-Warshall Allogrithm
	// Initialize the distance and conversion path matricies
	double d[50][50];			// Exchange rate from currency i to currency j 
	int next[50][50];			// Index of the next node

	for (int i = 0; i < 50; i++)
	{
		for (int j = 0; j < 50; j++)
		{
			if (logRates[i][j] != 0)
			{
				d[i][j] = logRates[i][j];
				next[i][j] = j;
			}

			else
			{
				d[i][j] = INFINITY;
				next[i][j] = j;
			}
		}
	}//END for() - Initialize the distance and conversion path matricies

	// Check all possible currency conversions
	for (int k = 0; k < 50; k++)
	{
		for (int i = 0; i < 50; i++)
		{
			for (int j = 0; j < 50; j++)
			{
				if (d[i][j] > (d[i][k] + d[k][j]))
				{
					d[i][j] = (d[i][k] + d[k][j]);
					next[i][j] = next[i][k];
				}
			}
		}
	}//END for() - Check all possible currency conversions

	// Check for the presence of a negative cycle and construct the path of the arbitrage
	bool nc = false;	// Flag to determine if the graph has a negative cycle
	list<int> cycle;	// List of currencies that make up a negative cycle		
	int path;			// The path of currencies in the negative cycle
	int first;			// The source currency
	int last;			// The previous currency on the path

	for (int i = 0; i < 50; i++)
	{
		if (d[i][i] < 0)
		{
			nc = true;
			path = last = first = i;
			do {
				path = next[path][i];
				last = path;
				cycle.push_back(path);
			} while (last != first);
			break;
		}

	}//END for() - Check for the presence of a negative cycle 

	// Determine the path of conversions for the arbitrage
	if(nc)
	{
		cout << "An arbitrage was found!" << endl;
		cout << "The following is the conversion from USD which" << endl;
		cout << "leads to an arbitrage: " << endl;
		cout << "USD";
		for (list<int>::iterator c = cycle.begin(); c != cycle.end(); c++)
		{
			cout << " -> ";

			switch (*c)
			{
				case 0:
				{
					cout << "USD";
					break;
				}

				case 1:
				{
					cout << "EUR";
					break;
				}

				case 2:
				{
					cout << "BIT";
					break;
				}

				case 3:
				{
					cout << "ALK";
					break;
				}

				case 4:
				{
					cout << "APO";
					break;
				}

				case 5:
				{
					cout << "CAD";
					break;
				}

				case 6:
				{
					cout << "BPD";
					break;
				}

				case 7:
				{
					cout << "CYN";
					break;
				}

				case 8:
				{
					cout << "JPY";
					break;
				}

				case 9:
				{
					cout << "ALD";
					break;
				}

				case 10:
				{
					cout << "AGK";
					break;
				}

				case 11:
				{
					cout << "ARD";
					break;
				}

				case 12:
				{
					cout << "ABF";
					break;
				}

				case 13:
				{
					cout << "AUD";
					break;
				}

				case 14:
				{
					cout << "BGT";
					break;
				}

				case 15:
				{
					cout << "BLR";
					break;
				}

				case 16:
				{
					cout << "BGF";
					break;
				}

				case 17:
				{
					cout << "BED";
					break;
				}

				case 18:
				{
					cout << "BOB";
					break;
				}

				case 19:
				{
					cout << "BAR";
					break;
				}

				case 20:
				{
					cout << "BBD";
					break;
				}

				case 21:
				{
					cout << "CID";
					break;
				}

				case 22:
				{
					cout << "CLP";
					break;
				}

				case 23:
				{
					cout << "CRC";
					break;
				}

				case 24:
				{
					cout << "CCP";
					break;
				}

				case 25:
				{
					cout << "COP";
					break;
				}

				case 26:
				{
					cout << "DKK";
					break;
				}

				case 27:
				{
					cout << "ETB";
					break;
				}

				case 28:
				{
					cout << "FJD";
					break;
				}

				case 29:
				{
					cout << "GTQ";
					break;
				}

				case 30:
				{
					cout << "HTG";
					break;
				}

				case 31:
				{
					cout << "INR";
					break;
				}

				case 32:
				{
					cout << "JEP";
					break;
				}

				case 33:
				{
					cout << "KES";
					break;
				}

				case 34:
				{
					cout << "LKR";
					break;
				}

				case 35:
				{
					cout << "MMK";
					break;
				}

				case 36:
				{
					cout << "NZD"; 
					break;
				}

				case 37:
				{
					cout << "OMR";
					break;
				}

				case 38:
				{
					cout << "PAB";
					break;
				}

				case 39:
				{
					cout << "PHP";
					break;
				}

				case 40:
				{
					cout << "PLN";
					break;
				}

				case 41:
				{
					cout << "RON";
					break;
				}

				case 42:
				{
					cout << "SAR";
					break;
				}

				case 43:
				{
					cout << "SLL";
					break;
				}

				case 44:
				{
					cout << "SEK";
					break;
				}

				case 45:
				{
					cout << "THB";
					break;
				}

				case 46:
				{
					cout << "TTD";
					break;
				}

				case 47:
				{
					cout << "VEF";
					break;
				}

				case 48:
				{
					cout << "VND";
					break;
				}

				case 49:
				{
					cout << "ZWD";
					break;
				}

				default:
				{
					cout << "\n Currency not found." << endl;
					break;
				}
			}//END switch() - currency path	
		}
	}//END if()- Determine the path of conversions for the arbitrage

	 // No arbitrage exists
	else
	{
		cout << "No arbitrage was found from USD" << endl;
	}

	// Since the seed is fixed the path is the same on each run:
	cout << endl;
	cout << rates[USD][USD] << "USD * " << rates[USD][BIT] << "BIT * " << rates[BIT][EUR] << "EUR * " << rates[EUR][USD] << "USD = " ;
	cout << " " << fixed << showpoint << setprecision(4) << rates[USD][BIT] * rates[BIT][EUR] * rates[EUR][USD] << "USD";

	cout << endl;
	//system("pause");
}