public static Polygon2f FromCapsule(Vector2f center, float radius, float length, int segments)
{
int num = segments + 1;
Polygon2f polygon = new Polygon2f(num * 2);
float pi = (float)Math.PI;
float fseg = segments;
float half = length * 0.5f;
for (int i = 0; i < num; i++)
{
float theta = pi * i / fseg;
float x = radius * (float)Math.Cos(theta);
float y = radius * (float)Math.Sin(theta);
polygon.Positions[i] = center + new Vector2f(x, y + half);
}
for (int i = 0; i < num; i++)
{
float theta = pi * i / fseg + pi;
float x = radius * (float)Math.Cos(theta);
float y = radius * (float)Math.Sin(theta);
polygon.Positions[i + num] = center + new Vector2f(x, y - half);
}
polygon.CalculatePolygon();
polygon.MakeCCW();
return(polygon);
}
private static Polygon2f CreatePolygon(int index)
{
CGAL_PointToPolygon(index);
int numPoints = CGAL_NumPolygonPoints();
int numHoles = CGAL_NumPolygonHoles();
Polygon2f polygon = new Polygon2f(numPoints);
for (int i = 0; i < numPoints; i++)
{
polygon.Positions[i] = CGAL_GetPolygonPoint2f(i);
}
for (int i = 0; i < numHoles; i++)
{
int holePoints = CGAL_NumHolePoints(i);
Polygon2f hole = new Polygon2f(holePoints);
for (int j = 0; j < holePoints; j++)
{
hole.Positions[j] = CGAL_GetHolePoint2f(i, j);
}
polygon.AddHole(hole);
}
polygon.CalculatePolygon();
return(polygon);
}
public static Polygon2f FromTriangle(Vector2f A, Vector2f B, Vector2f C)
{
Polygon2f polygon = new Polygon2f(3);
polygon.Positions[0] = A;
polygon.Positions[1] = B;
polygon.Positions[2] = C;
polygon.CalculatePolygon();
polygon.MakeCCW();
return(polygon);
}
public static Polygon2f FromBox(Vector2f min, Vector2f max)
{
Polygon2f polygon = new Polygon2f(4);
polygon.Positions[0] = min;
polygon.Positions[1] = new Vector2f(max.x, min.y);
polygon.Positions[2] = max;
polygon.Positions[3] = new Vector2f(min.x, max.y);
polygon.CalculatePolygon();
polygon.MakeCCW();
return(polygon);
}
private static Polygon2f CreatePolygon(int index)
{
int numPoints = CGAL_NumPolygonPoints(index);
Polygon2f polygon = new Polygon2f(numPoints);
for (int i = 0; i < numPoints; i++)
{
polygon.Positions[i] = CGAL_GetPolygonPoint2f(index, i);
}
polygon.CalculatePolygon();
return(polygon);
}
public static Polygon2f FromStar4(Vector2f center, float scale)
{
Polygon2f polygon = new Polygon2f(8);
polygon.Positions[0] = new Vector2f(0, -1) * scale;
polygon.Positions[1] = new Vector2f(0.2f, -0.2f) * scale;
polygon.Positions[2] = new Vector2f(1, 0) * scale;
polygon.Positions[3] = new Vector2f(0.2f, 0.2f) * scale;
polygon.Positions[4] = new Vector2f(0, 1) * scale;
polygon.Positions[5] = new Vector2f(-0.2f, 0.2f) * scale;
polygon.Positions[6] = new Vector2f(-1, 0) * scale;
polygon.Positions[7] = new Vector2f(-0.2f, -0.2f) * scale;
polygon.CalculatePolygon();
polygon.MakeCCW();
return(polygon);
}
public static List <Polygon2f> Partition(Polygon2f polygon, PARTITION_METHOD method = PARTITION_METHOD.APPROX)
{
if (!polygon.IsSimple)
{
throw new ArgumentException("Polygon must be simple.");
}
if (!polygon.IsCCW)
{
throw new ArgumentException("Polygon must have counter clock wise orientation. Reverse polygon.");
}
if (polygon.HasHoles)
{
throw new NotImplementedException("Polygon with holes not implemented.");
}
CGAL_LoadPoints(polygon.Positions, polygon.Positions.Length);
int numPolygons = PerformPartition(method);
List <Polygon2f> partition = new List <Polygon2f>(numPolygons);
for (int i = 0; i < numPolygons; i++)
{
int numPoints = CGAL_GetPolygonSize(i);
Polygon2f poly = new Polygon2f(numPoints);
for (int j = 0; j < numPoints; j++)
{
poly.Positions[j] = CGAL_GetPolygonVector2f(i, j);
}
poly.CalculatePolygon();
partition.Add(poly);
}
CGAL_Clear();
return(partition);
}
public static Polygon2f FromCircle(Vector2f center, float radius, int segments)
{
Polygon2f polygon = new Polygon2f(segments);
float pi = (float)Math.PI;
float fseg = segments;
for (int i = 0; i < segments; i++)
{
float theta = 2.0f * pi * i / fseg;
float x = radius * (float)Math.Cos(theta);
float y = radius * (float)Math.Sin(theta);
polygon.Positions[i] = center + new Vector2f(x, y);
}
polygon.CalculatePolygon();
polygon.MakeCCW();
return(polygon);
}
public static Polygon2f Simplify(Polygon2f polygon, float threshold, SIMPLIFY_METHOD method = SIMPLIFY_METHOD.SQUARE_DIST)
{
if (!polygon.IsSimple)
{
throw new ArgumentException("Polygon must be simple.");
}
if (polygon.HasHoles)
{
throw new NotImplementedException("Polygon with holes not implemented.");
}
if (polygon.VerticesCount < 3)
{
Polygon2f simplified = new Polygon2f(polygon.Positions);
simplified.CalculatePolygon();
return(simplified);
}
else
{
CGAL_LoadPoints(polygon.Positions, polygon.Positions.Length);
int size = PerformSimplification(threshold, method);
Polygon2f simplified = new Polygon2f(size);
for (int i = 0; i < size; i++)
{
simplified.Positions[i] = CGAL_GetSimplifiedVector2f(i);
}
simplified.CalculatePolygon();
CGAL_Clear();
return(simplified);
}
}