UVa 587 - There's treasure everywhere!

// UVa 587 - There's treasure everywhere!
#include <iostream>
#include <stdio.h>
#include <string>
#include <math.h>
#include <map>
using namespace std;

#define pi M_PI

int main() {
	map<string, double> angle;
	angle["E"] = 0;
	angle["NE"] = pi / 4;
	angle["N"] = pi / 2;
	angle["NW"] = 3 * pi / 4;
	angle["W"] = pi;
	angle["SW"] = 5 * pi / 4;
	angle["S"] = 3 * pi / 2;
	angle["SE"] = 7 * pi / 4;

	string l;
	int t = 0;
	while (getline(cin, l) && l != "END") {
		t++;
		int d = 0;
		string dir = "";
		double x = 10e-12, y = 10e-12;
		for (int i = 0; i < l.length(); i++) {
			if (l[i] >= '0' && l[i] <= '9')
				d = d * 10 + (l[i] - '0');
			else if (l[i] == 'N' || l[i] == 'S' || l[i] == 'E' || l[i] == 'W')
				dir = dir + l[i];
			else {
				x += d * cos(angle[dir]);
				y += d * sin(angle[dir]);
				d = 0;
				dir = "";
			}
		}
		printf("Map #%d\n", t);
		printf("The treasure is located at (%.3f,%.3f).\n", x, y);
		printf("The distance to the treasure is %.3f.\n\n", sqrt(x * x + y * y));
	}
	return 0;
}