static public bool TryGetTriangleCoplanarEdge(this Plane item, Triangle3 triangle, float tolerance, out LineSegment3 edge)
{
bool is_v0_near = item.GetAbsoluteDistanceToPoint(triangle.v0) <= tolerance;
bool is_v1_near = item.GetAbsoluteDistanceToPoint(triangle.v1) <= tolerance;
bool is_v2_near = item.GetAbsoluteDistanceToPoint(triangle.v2) <= tolerance;
if (is_v0_near && is_v1_near && is_v2_near == false)
{
edge = triangle.GetEdge01();
return(true);
}
if (is_v1_near && is_v2_near && is_v0_near == false)
{
edge = triangle.GetEdge12();
return(true);
}
if (is_v2_near && is_v0_near && is_v1_near == false)
{
edge = triangle.GetEdge20();
return(true);
}
edge = default(LineSegment3);
return(false);
}
static public IEnumerable <Vector3> GetTriangleIntersection(this Plane item, Triangle3 triangle)
{
if (triangle.IsDegenerate() == false)
{
if (item.FullyContains(triangle))
{
return(triangle.GetPoints());
}
Plane plane = triangle.GetPlane();
if (plane.normal != Vector3.zero)
{
PlaneSpace plane_space = plane.GetPlaneSpace();
ConvexPolygon triangle_polygon = new ConvexPolygon(
plane_space.ProjectPoints(triangle.GetPoints())
);
Plane2 plane_polygon;
if (plane_space.IsIntersecting(item, out plane_polygon))
{
return(plane_space.InflatePoints(
triangle_polygon.GetIntersection(plane_polygon).GetVertexs()
));
}
}
}
return(Empty.IEnumerable <Vector3>());
}
static public IEnumerable <Triangle3> Fantize(this Triangle3 item, Vector3 point)
{
yield return(new Triangle3(item.v0, item.v1, point));
yield return(new Triangle3(item.v1, item.v2, point));
yield return(new Triangle3(item.v2, item.v0, point));
}
static public IEnumerable <Vector3> GetPoints(this Triangle3 item)
{
yield return(item.v0);
yield return(item.v1);
yield return(item.v2);
}
static public bool IsDegenerate(this Triangle3 item)
{
if (item.v0 == item.v1 || item.v1 == item.v2 || item.v2 == item.v0)
{
return(true);
}
return(false);
}
static public bool FullyContains(this Plane item, Triangle3 triangle)
{
if (
item.IsInside(triangle.v0) &&
item.IsInside(triangle.v1) &&
item.IsInside(triangle.v2)
)
{
return(true);
}
return(false);
}
static public bool FullyContains(this Bounds item, Triangle3 triangle)
{
if (
item.Contains(triangle.v0) &&
item.Contains(triangle.v1) &&
item.Contains(triangle.v2)
)
{
return(true);
}
return(false);
}
static public Vector3 GetPointOnEdgeByPercent(this Triangle3 item, float percent)
{
percent = percent.GetLooped(3.0f);
if (percent < 1.0f)
{
return(item.GetEdge01().GetPointOnByPercent(percent));
}
if (percent < 2.0f)
{
return(item.GetEdge12().GetPointOnByPercent(percent - 1.0f));
}
return(item.GetEdge20().GetPointOnByPercent(percent - 2.0f));
}
static public bool IsIntersecting(this Plane item, Triangle3 triangle, out LineSegment3 output)
{
Vector3 v0;
Vector3 v1;
if (triangle.GetEdges()
.TryConvert((LineSegment3 e, out Vector3 v) => item.IsIntersecting(e, out v))
.PartOut(out v0, out v1) == 2)
{
output = new LineSegment3(v0, v1);
return(true);
}
output = default(LineSegment3);
return(false);
}
static public void DrawTriangle(Triangle3 triangle)
{
Gizmos.DrawLine(triangle.v0, triangle.v1);
Gizmos.DrawLine(triangle.v1, triangle.v2);
Gizmos.DrawLine(triangle.v2, triangle.v0);
}
static public Triangle2 ProjectTriangle(this PlaneSpace item, Triangle3 triangle)
{
return(new Triangle2(item.ProjectPoint(triangle.v0), item.ProjectPoint(triangle.v1), item.ProjectPoint(triangle.v2)));
}
static public Plane GetPlane(this Triangle3 item)
{
return(PlaneExtensions.CreatePoints(item.v0, item.v1, item.v2));
}
static public Bounds GetBounds(this Triangle3 item)
{
return(BoundsExtensions.CreateWithPoints(item.GetPoints()));
}
static public LineSegment3 GetEdge20(this Triangle3 item)
{
return(new LineSegment3(item.v2, item.v0));
}
static public LineSegment3 GetEdge01(this Triangle3 item)
{
return(new LineSegment3(item.v0, item.v1));
}
static public void AddTriangle(this MeshBuilder item, Triangle3 triangle)
{
item.AddTriangle(triangle.v0, triangle.v1, triangle.v2);
}
static public IEnumerable <Triangle3> FantizeAtCenter(this Triangle3 item)
{
return(item.Fantize(item.GetCenter()));
}
static public Triangle3 GetReversedWinding(this Triangle3 item)
{
return(new Triangle3(item.v2, item.v1, item.v0));
}
static public Vector3 GetCenter(this Triangle3 item)
{
return(item.GetPoints().Average());
}
static public LineSegment3 GetEdge12(this Triangle3 item)
{
return(new LineSegment3(item.v1, item.v2));
}
public MeshDissectorTriangle(Triangle3 t)
{
triangle = t;
bounds = t.GetBounds();
}
static public IEnumerable <LineSegment3> GetEdges(this Triangle3 item)
{
return(item.GetPoints().CloseLoop().Connect());
}
static public Vector3 GetNormal(this Triangle3 item)
{
return(item.v0.GetNormalizedNormal(item.v1, item.v2));
}