public void Maths_DistanceToLine_CorrectDistance()
{
Double[] equationValues = { 0, -20, 200 };
Double distance = GameMaths.DistanceToLine(equationValues, 5, 0);
Assert.AreEqual(distance, 10);
}
public void Maths_isInside_PointInsideTrinagle()
{
Point traingleCorner1 = new Point(5, 0);
Point traingleCorner2 = new Point(2, 10);
Point traingleCorner3 = new Point(10, 10);
Point insideTriangle = new Point(5, 5);
Assert.IsTrue(GameMaths.IsInside(traingleCorner1, traingleCorner2, traingleCorner3, insideTriangle));
}
public void Maths_Area_CorrectArea()
{
Point A = new Point(0, 0);
Point B = new Point(5, 7);
Point C = new Point(1, 2);
double triangle_area = GameMaths.Area(A, B, C);
Assert.AreEqual(triangle_area, 1.5);
}
public void Maths_LineIntersection_CorrectPoint()
{
Point A = new Point(0, 5);
Point B = new Point(10, 5);
Point C = new Point(5, 0);
Point D = new Point(5, 10);
Point intersectionPoint = GameMaths.LineIntersection(A, B, C, D);
Assert.AreEqual(intersectionPoint.x, 5);
Assert.AreEqual(intersectionPoint.y, 5);
}
public void Maths_DistanceBetweenPoints_CorrectDistance()
{
Point p = new Point(0, 0);
Point z = new Point(10, 20);
double distance_between = GameMaths.Distance2Points(p, z);
double delta = 0.001;
if ((Math.Abs(distance_between - 22.36) < delta))
{
Assert.Pass();
}
Assert.Fail();
}
public String Shoot(double polarAngle, double scanAngle, int energy, String attackCode)
{
string bigoutput = "";
if (this.Energy < energy)
{
Console.WriteLine("You do not have enough energy to shoot");
return(null);
}
this.Energy -= energy;
// cordinates of the spaceship
// cordinates of the spaceship
double x = this.XCoordinate;
double y = this.YCoordinate;
int r = this.Capacity / 100;
ArrayList list = new ArrayList();
int dist = (int)Math.Round(energy / Math.Abs(Math.Sin((Math.PI - scanAngle) / 2 * Math.PI / 180.0)), 0);
double xA = Math.Round(x + r * Math.Cos(polarAngle * Math.PI / 180.0), 2);
double yA = Math.Round(y + r * Math.Sin(polarAngle * Math.PI / 180.0), 2);
// B and C are points of the scan extremes
double xB = Math.Round(xA + dist * Math.Cos((polarAngle - scanAngle * 0.5) * Math.PI / 180.0), 2);
double yB = Math.Round(yA + dist * Math.Sin((polarAngle - scanAngle * 0.5) * Math.PI / 180.0), 2);
double xC = Math.Round(xA + dist * Math.Cos((polarAngle + scanAngle * 0.5) * Math.PI / 180.0), 2);
double yC = Math.Round(yA + dist * Math.Sin((polarAngle + scanAngle * 0.5) * Math.PI / 180.0), 2);
Point a, b, c;
a = new Point(xA, yA);
b = new Point(xB, yB);
c = new Point(xC, yC);
// get a list of the planets and spacehsips
// check if they are inside the triangle ABC
// or if the sides of the triangle cu the spaceships (as a circle)
var dict = this.SpaceshipsInsideWithShadow(a, b, c);
foreach (KeyValuePair <Spaceship, double> kvp in dict)
{
Console.WriteLine("You attacked " + ((Spaceship)(kvp.Key)).Name + " with ratio " + kvp.Value);
}
foreach (KeyValuePair <Spaceship, double> kvp in dict)
{
Console.WriteLine("You attacked " + ((Spaceship)(kvp.Key)).Name + " with ratio " + kvp.Value);
Spaceship ship = kvp.Key;
list.Add(ship);
double x_coord = ship.XCoordinate;
double y_coord = ship.YCoordinate;
int other_radius = ship.Capacity / 100;
double ratio; // ratio of the energy with which we are attacking
// if the spaceship is inside the shoot array'
if (GameMaths.IsInside(a, b, c, new Point(x_coord, y_coord)))
{
// B'C' is parallel to BC, we need the the slope and the other spaceship coordinates to find the equation and distance of B'C'
double slope = (yB - yC) / (xB - xC);
// find an equation of the type y = slope * x + b_
// aim: find out another point on B'C'
double b_ = y_coord - slope * x_coord;
double x_new_point = 1; // random, doesn't matter
double y_new_point = slope * x_new_point + b_;
Point b_prime = GameMaths.LineIntersection(a, b, new Point(x_coord, y_coord), new Point(x_new_point, y_new_point));
Point c_prime = GameMaths.LineIntersection(a, c, new Point(x_coord, y_coord), new Point(x_new_point, y_new_point));
double dist_b_c_prime = GameMaths.Distance2Points(b_prime, c_prime);
// multiple cases depending on where the spaceship lies on the line
if (GameMaths.DistanceToLine(GameMaths.LineEquation(a, b), x_coord, y_coord) < other_radius) // other spaceship is closer to AB, and extends outside
{
double distance_to_ab = GameMaths.DistanceToLine(GameMaths.LineEquation(a, b), x_coord, y_coord);
double dist_to_add;
double b_o_dist = distance_to_ab * Math.Sin(((Math.PI - scanAngle) / 2) * Math.PI / 180.0);
if (dist_b_c_prime - b_o_dist >= other_radius)
{
dist_to_add = other_radius;
}
else
{
dist_to_add = dist_b_c_prime - b_o_dist;
}
ratio = (dist_to_add + b_o_dist) / dist_b_c_prime;
}
else if (GameMaths.DistanceToLine(GameMaths.LineEquation(a, c), x_coord, y_coord) < other_radius)
{
double distance_to_ac = GameMaths.DistanceToLine(GameMaths.LineEquation(a, c), x_coord, y_coord);
double dist_to_add;
double c_o_dist = distance_to_ac * Math.Sin(((Math.PI - scanAngle) / 2) * Math.PI / 180.0);
if (dist_b_c_prime - c_o_dist >= other_radius)
{
dist_to_add = other_radius;
}
else
{
dist_to_add = dist_b_c_prime - c_o_dist;
}
ratio = (dist_to_add + c_o_dist) / dist_b_c_prime;
}
else
{
// spaceship is on the line equally distributed
if (2 * other_radius < dist_b_c_prime)
{
ratio = (2 * other_radius) / dist_b_c_prime;
}
else
{
ratio = 1;
}
}
ratio += dict[ship];
ratio /= 2;
ratio *= (StringDistance.Compute(ship.Code, attackCode) / 16.0 + 1) / 2.0;
bigoutput += this.Attack(ship, (int)(Math.Round((energy * ratio), 0)));
}
// if the other spacehsip center is outside of the shoot triangle
else if (GameMaths.ContainsSpaceship(a, b, c, new Point(x_coord, y_coord), other_radius))
// && this.UserId != ship.UserId)
{
// B'C' is parallel to BC, we need the the slope and the other spaceship coordinates to find the equation and distance of B'C'
double slope = (yB - yC) / (xB - xC);
// find an equation of the type y = slope * x + b
// aim: find out another point on B'C'
double b_ = y_coord - slope * x_coord;
double x_new_point = 1; // random, doesn't matter
double y_new_point = slope * x_new_point + b_;
Point b_prime = GameMaths.LineIntersection(a, b, new Point(x_coord, y_coord), new Point(x_new_point, y_new_point));
Point c_prime = GameMaths.LineIntersection(a, c, new Point(x_coord, y_coord), new Point(x_new_point, y_new_point));
double dist_b_c_prime = GameMaths.Distance2Points(b_prime, c_prime);
ratio = (other_radius - GameMaths.SmallestDistance(a, b, c, new Point(x_coord, y_coord), other_radius)) / dist_b_c_prime;
ratio += dict[ship];
ratio /= 2;
ratio *= (StringDistance.Compute(ship.Code, attackCode) / 16.0 + 1) / 2.0;
bigoutput += this.Attack(ship, (int)(Math.Round((energy * ratio), 0)));
}
}
return(bigoutput);
}
public String Scan(double polarAngle, double scanAngle, int energy)
{
String bigoutput = "";
//updateSelf();
// cordinates of the spaceship
ArrayList myList = new ArrayList();
if (this._energy >= energy)
{
double x = this.XCoordinate;
double y = this.YCoordinate;
int r = this.Capacity / 100;
Point a, b, c;
int dist = (int)Math.Round(energy / Math.Abs(Math.Sin((Math.PI - scanAngle) / 2 * Math.PI / 180.0)), 0);
double xA = Math.Round(x + r * Math.Cos(polarAngle * Math.PI / 180.0), 2);
double yA = Math.Round(y + r * Math.Sin(polarAngle * Math.PI / 180.0), 2);
// B and C are points of the scan extremes
double xB = Math.Round(xA + dist * Math.Cos((polarAngle - scanAngle * 0.5) * Math.PI / 180.0), 2);
double yB = Math.Round(yA + dist * Math.Sin((polarAngle - scanAngle * 0.5) * Math.PI / 180.0), 2);
double xC = Math.Round(xA + dist * Math.Cos((polarAngle + scanAngle * 0.5) * Math.PI / 180.0), 2);
double yC = Math.Round(yA + dist * Math.Sin((polarAngle + scanAngle * 0.5) * Math.PI / 180.0), 2);
a = new Point(xA, yA);
b = new Point(xB, yB);
c = new Point(xC, yC);
var dict = this.SpaceshipsInsideWithShadow(a, b, c);
foreach (KeyValuePair <Spaceship, double> kvp in dict)
{
Console.WriteLine(((Spaceship)(kvp.Key)).Name + " with ratio " + kvp.Value);
myList.Add(kvp.Key);
}
/*
* Printing as 2D array
*
*/
bool pretty_print = true;
if (pretty_print)
{
int xmax, ymax;
xmax = (int)(Math.Max(xC, Math.Max(xA, xB)) - Math.Min(xC, Math.Min(xA, xB)));
ymax = (int)(Math.Max(yC, Math.Max(yA, yB)) - Math.Min(yC, Math.Min(yA, yB)));
Console.WriteLine(xmax + " " + ymax);
int[,] toPrint = new int[xmax, ymax];
for (int i = 0; i < xmax; i++)
{
for (int j = 0; j < ymax; j++)
{
toPrint[i, j] = -1;
}
}
Point new_a = new Point(a.x - Math.Min(xC, Math.Min(xA, xB)), a.y - Math.Min(yC, Math.Min(yA, yB))),
new_b = new Point(b.x - Math.Min(xC, Math.Min(xA, xB)), b.y - Math.Min(yC, Math.Min(yA, yB))),
new_c = new Point(c.x - Math.Min(xC, Math.Min(xA, xB)), c.y - Math.Min(yC, Math.Min(yA, yB)));
foreach (KeyValuePair <Spaceship, double> kvp in dict)
{
Random random = new Random();
Spaceship sp = kvp.Key;
double ratio = kvp.Value;
int chnum = (int)Math.Ceiling(16 * ratio);
Console.WriteLine(sp.code.Substring(0, chnum));
String substring = sp.code.Substring(0, chnum);
Point translocated = new Point(sp.XCoordinate - Math.Min(xC, Math.Min(xA, xB)),
sp.YCoordinate - Math.Min(yC, Math.Min(yA, yB)));
if ((int)translocated.x < xmax && (int)translocated.x >= 0 && (int)translocated.y >= 0 && (int)translocated.y < ymax)
{
toPrint[(int)translocated.x, (int)translocated.y] = -1;
}
int stringIndex = 0;
int startPoint = -90;
Point inter1, inter2;
Point[] aux_point_array = GameMaths.CutsSpaceshipAtPoints(a, b, c, new Point(sp.XCoordinate, sp.YCoordinate), sp._capacity / 100);
if (aux_point_array != null)
{
inter1 = aux_point_array[0];
inter2 = aux_point_array[1];
inter1.x += 1;
inter1.y += 1;
if (GameMaths.IsInside(a, b, c, inter1))
{
inter1.x -= 1;
inter2.y -= 1;
startPoint = (int)((180.0 / Math.PI) * Math.Atan2(inter1.y - sp.XCoordinate, inter1.x - sp.YCoordinate));
Console.WriteLine(startPoint);
}
else
{
startPoint = (int)((180.0 / Math.PI) * Math.Atan2(inter2.y - sp.YCoordinate, inter2.x - sp.XCoordinate));
Console.WriteLine(startPoint);
}
}
for (double i = startPoint; i >= startPoint - 360; i -= 0.5)
{
int xcircle, ycircle;
xcircle = (int)(translocated.x + sp._capacity / 100 * Math.Cos(i * Math.PI / 180.0));
ycircle = (int)(translocated.y + sp._capacity / 100 * Math.Sin(i * Math.PI / 180.0));
if (GameMaths.IsInside(new_a, new_b, new_c, new Point(ycircle, xcircle)))
{
if (xcircle < xmax && xcircle >= 0 && ycircle < ymax && ycircle >= 0 && toPrint[xcircle, ycircle] == -1)
{
toPrint[xcircle, ycircle] = int.Parse("" + substring[stringIndex % chnum]);
stringIndex++;
}
}
}
for (int i = ymax - 1; i >= 0; i--)
{
for (int j = 0; j < xmax; j++)
{
if (toPrint[j, i] <= 9 && toPrint[j, i] >= 0 && GameMaths.IsInside(new_a, new_b, new_c, new Point(j, i)))
{
bigoutput += (toPrint[j, i]).ToString();
}
else
{
bigoutput += " ";
}
}
bigoutput += "\n";
}
/*
* end of printing
*/
}
return(bigoutput);
}
}
return(bigoutput);
}
/*
*
* Helper function to compute the not shadowed spaceships after a scan or attack
*
* returns a dictionary mapping the spaceship to a real ratio (the relative portion of the spaceship that is visible in the scan, shoot
*
*/
public Dictionary <Spaceship, double> SpaceshipsInsideWithShadow(Point a, Point b, Point c)
{
Spaceship[] sp = ElasticSearchCommands.searchAll().ToArray();
// double represents the shadows
Dictionary <Spaceship, double> list = new Dictionary <Spaceship, double>();
var lines = new ArrayList();
lines.Add(new Line(b, c));
var x = this.XCoordinate;
var y = this.YCoordinate;
var dict = new SortedDictionary <double, Spaceship>();
for (int i = 0; i < sp.Length; i++)
{
double x_coord = sp[i].XCoordinate;
double y_coord = sp[i].YCoordinate;
if ((GameMaths.ContainsSpaceship(a, b, c, new Point(x_coord, y_coord), sp[i].Capacity / 100) ||
GameMaths.IsInside(a, b, c, new Point(x_coord, y_coord))) && this.Name != sp[i].Name) //&& sp[i].Name!="Owen")
{
double dist = GameMaths.Distance2Points(new Point(x, y), new Point(x_coord, y_coord));
while (dict.ContainsKey(dist))
{
dist += 0.2;
}
dict.Add(dist, sp[i]);
}
}
// find the true non-shadowed spaceships
foreach (KeyValuePair <double, Spaceship> kvp in dict)
{
Spaceship ship = kvp.Value;
Point p1, p2; // projections of the tangents to the circle onto BC line
Point[] points = GameMaths.PointsOfTangentToCircle(a, new Point(ship.XCoordinate, ship.YCoordinate), ship.Capacity / 100);
p1 = points[0];
p2 = points[1];
// get intersection between AP1 and BC (projection of A on BC through a point tangent to the circle/spaceship)
points[0] = GameMaths.LineIntersection(a, points[0], b, c);
points[1] = GameMaths.LineIntersection(a, points[1], b, c);
Array.Sort(points);
p1 = points[0];
p2 = points[1];
if (p1 == null || p2 == null)
{
continue;
}
int i = 0, j = 0;
Boolean found1 = false;
Boolean found2 = false;
//find where the projections of the points on BC found would sit on the line BC
// the points l1,l2 are looking for where p1 sits
// the poiints n1, n2 are looking for where p2 sits
// modifications in the intervals is necessary
// delete all lines between p1 and p2
while (!(found1 && found2))
{
// fetch the ith line
if (!found1 && i < lines.Count)
{
Line line = (Line)lines[i];
Point l1 = line.a, l2 = line.b;
if (p1.CompareTo(l1) > 0)
{
if (p1.CompareTo(l2) < 0)
{
// l1 < p1 < l2
// found the interval where p1 lies, it is not shadowed, so add the spacehsip
found1 = true;
// check if p1 and p2 are on the same interval
if (p2.CompareTo(l1) > 0 && p2.CompareTo(l2) < 0)
{
list.Add(ship, GameMaths.Distance2Points(p1, p2));
found2 = true;
Point aux = ((Line)lines[i]).b;
((Line)lines[i]).b = p1;
lines.Insert(i + 1, new Line(p2, aux));
}
else
{
list.Add(ship, GameMaths.Distance2Points(p1, ((Line)lines[i]).b));
((Line)lines[i]).b = p1;
j = i + 1;
}
}
else
{
// p1 will sit in the next intervals
i++;
}
}
else
{
// p1 lies in an area outside of the lines array, which means it is shadowed
// mark l1 as found, but don't add this spaceship to the scanned ones
found1 = true;
}
}
if (!found2 && j < lines.Count)
{
Line line = (Line)lines[j];
Point n1 = line.a, n2 = line.b;
if (p2.CompareTo(n1) > 0)
{
if (p2.CompareTo(n2) < 0)
{
// n1 < p2 < n2
// found the interval where p2 lies
found2 = true;
if (list.ContainsKey(ship))
{
list[ship] += GameMaths.Distance2Points(((Line)lines[j]).a, p2);
}
else
{
list.Add(ship, GameMaths.Distance2Points(((Line)lines[j]).a, p2));
}
// restrict the interval for future lookups
((Line)lines[i]).a = p2;
}
else
{
// p2 will sit in the next intervals
if (found1)
{
if (list.ContainsKey(ship))
{
list[ship] += GameMaths.Distance2Points(((Line)lines[j]).a, ((Line)lines[j]).b);
}
else
{
list.Add(ship, GameMaths.Distance2Points(((Line)lines[j]).a, ((Line)lines[j]).b));
}
lines.RemoveAt(j); // delete all intervals in between p1 and p2
}
else
{
j++;
}
}
}
else
{
// p2 lies in an area outside of the lines array, which means it is shadowed
// mark l1 as found, but don't add this spaceship to the scanned ones
found2 = true;
}
}
if (i >= lines.Count)
{
found1 = true;
}
if (j >= lines.Count)
{
found2 = true;
}
}
if (list.ContainsKey(ship))
{
list[ship] = list[ship] / GameMaths.Distance2Points(p1, p2);
}
}
return(list);
}
public void Maths_LineIntersectsCircleIn2Points_()
{
Double[] l = { 40, -40, -4000 };
Assert.IsTrue(GameMaths.LineIntersectsCircle(GameMaths.LineEquation(new Point(10, 10),
new Point(50, 50)), 20, 30, 10));
}
