/// <summary>
/// Obtains a list of vertexes that represent the polyline approximating the curve segments as necessary.
/// </summary>
/// <param name="bulgePrecision">Curve segments precision (a value of zero means that no approximation will be made).</param>
/// <param name="weldThreshold">Tolerance to consider if two new generated vertexes are equal.</param>
/// <param name="bulgeThreshold">Minimun distance from which approximate curved segments of the polyline.</param>
/// <returns>The return vertexes are expresed in object coordinate system.</returns>
public List<Vector2f> PoligonalVertexes(int bulgePrecision, float weldThreshold, float bulgeThreshold)
{
List<Vector2f> ocsVertexes = new List<Vector2f>();
int index = 0;
foreach (PolylineVertex vertex in this.Vertexes)
{
float bulge = vertex.Bulge;
Vector2f p1;
Vector2f p2;
if (index == this.Vertexes.Count - 1)
{
p1 = new Vector2f(vertex.Location.X, vertex.Location.Y);
p2 = new Vector2f(this.vertexes[0].Location.X, this.vertexes[0].Location.Y);
}
else
{
p1 = new Vector2f(vertex.Location.X, vertex.Location.Y);
p2 = new Vector2f(this.vertexes[index + 1].Location.X, this.vertexes[index + 1].Location.Y);
}
if (!p1.Equals(p2, weldThreshold))
{
if (bulge == 0 || bulgePrecision == 0)
{
ocsVertexes.Add(p1);
}
else
{
float c = Vector2f.Distance(p1, p2);
if (c >= bulgeThreshold)
{
float s = (c / 2) * Math.Abs(bulge);
float r = ((c / 2) * (c / 2) + s * s) / (2 * s);
float theta = (float)(4 * Math.Atan(Math.Abs(bulge)));
float gamma = (float)((Math.PI - theta) / 2);
float phi;
if (bulge > 0)
{
phi = Vector2f.AngleBetween(Vector2f.UnitX, p2 - p1) + gamma;
}
else
{
phi = Vector2f.AngleBetween(Vector2f.UnitX, p2 - p1) - gamma;
}
Vector2f center = new Vector2f((float)(p1.X + r * Math.Cos(phi)), (float)(p1.Y + r * Math.Sin(phi)));
Vector2f a1 = p1 - center;
float angle = 4 * ((float)(Math.Atan(bulge))) / (bulgePrecision + 1);
ocsVertexes.Add(p1);
for (int i = 1; i <= bulgePrecision; i++)
{
Vector2f curvePoint = new Vector2f();
Vector2f prevCurvePoint = new Vector2f(this.vertexes[this.vertexes.Count - 1].Location.X, this.vertexes[this.vertexes.Count - 1].Location.Y);
curvePoint.X = center.X + (float)(Math.Cos(i * angle) * a1.X - Math.Sin(i * angle) * a1.Y);
curvePoint.Y = center.Y + (float)(Math.Sin(i * angle) * a1.X + Math.Cos(i * angle) * a1.Y);
if (!curvePoint.Equals(prevCurvePoint, weldThreshold) &&
!curvePoint.Equals(p2, weldThreshold))
{
ocsVertexes.Add(curvePoint);
}
}
}
else
{
ocsVertexes.Add(p1);
}
}
}
index++;
}
return ocsVertexes;
}
/// <summary>
/// Converts the arc in a list of vertexes.
/// </summary>
/// <param name="precision">Number of vertexes generated.</param>
/// <param name="weldThreshold">Tolerance to consider if two new generated vertexes are equal.</param>
/// <returns>A list vertexes that represents the arc expresed in object coordinate system.</returns>
public List<Vector2f> PoligonalVertexes(int precision, float weldThreshold)
{
if (precision < 2)
throw new ArgumentOutOfRangeException("precision", precision, "The arc precision must be greater or equal to two");
List<Vector2f> ocsVertexes = new List<Vector2f>();
float start = (float)(this.anguloInicio * MathHelper.DegToRad);
float end = (float)(this.anguloFin * MathHelper.DegToRad);
if (2 * this.radio >= weldThreshold)
{
float angulo = (end - start) / precision;
Vector2f prevPoint;
Vector2f firstPoint;
float sine = (float)(this.radio * Math.Sin(start));
float cosine = (float)(this.radio * Math.Cos(start));
firstPoint = new Vector2f(cosine + this.centro.X, sine + this.centro.Y);
ocsVertexes.Add(firstPoint);
prevPoint = firstPoint;
for (int i = 1; i <= precision; i++)
{
sine = (float)(this.radio * Math.Sin(start + angulo * i));
cosine = (float)(this.radio * Math.Cos(start + angulo * i));
Vector2f point = new Vector2f(cosine + this.centro.X, sine + this.centro.Y);
if (!point.Equals(prevPoint, weldThreshold) && !point.Equals(firstPoint, weldThreshold))
{
ocsVertexes.Add(point);
prevPoint = point;
}
}
}
return ocsVertexes;
}
/// <summary>
/// Convierte el circulo en una lista de vertices.
/// </summary>
/// <param name="precision">Numero de vertices generados.</param>
/// <param name="tolerancia">Tolerancia a considerar para comparar si dos nuevos vertices son iguales.</param>
/// <returns>Una lista de verices que representa el circulo expresado en coordenadas.</returns>
public List<Vector2f> PoligonalVertices(int precision, float tolerancia)
{
if (precision < 3)
throw new ArgumentOutOfRangeException("precision", precision, "La precision del circulo debe ser mayor o igual a tres");
List<Vector2f> ocsVertices = new List<Vector2f>();
if (2 * this.radio >= tolerancia)
{
float angulo = (float)(MathHelper.TwoPI / precision);
Vector2f antPunto;
Vector2f primerPunto;
float seno = (float)(this.radio * Math.Sin(MathHelper.HalfPI * 0.5));
float coseno = (float)(this.radio * Math.Cos(MathHelper.HalfPI * 0.5));
primerPunto = new Vector2f(coseno + this.centro.X, seno + this.centro.Y);
ocsVertices.Add(primerPunto);
antPunto = primerPunto;
for (int i = 1; i < precision; i++)
{
seno = (float)(this.radio * Math.Sin(MathHelper.HalfPI + angulo * i));
coseno = (float)(this.radio * Math.Cos(MathHelper.HalfPI + angulo * i));
Vector2f punto = new Vector2f(coseno + this.centro.X, seno + this.centro.Y);
if (!punto.Equals(antPunto, tolerancia) &&
!punto.Equals(primerPunto, tolerancia))
{
ocsVertices.Add(punto);
antPunto = punto;
}
}
}
return ocsVertices;
}