Struct GeoTriangle2
- Namespace
- GeometryHelper.Geometry
- Assembly
- GeometryHelper.dll
Represents a triangle in the plane, defined by three vertices.
A polygon or a face of the plane broken into triangles comes back as these, from TriangulateSurface() and its kin, and a triangle answers the questions every other shape of the plane does. It is GeoTriangle3 laid flat: three points always make a triangle, even one of no area, so nothing is checked at construction.
public readonly struct GeoTriangle2 : IEquatable<GeoTriangle2>- Implements
- Inherited Members
Constructors
- GeoTriangle2(GeoPoint2, GeoPoint2, GeoPoint2)
Initializes a new triangle from three vertices.
Properties
- A
Gets the first vertex.
- Area
Gets the area of the triangle, whichever way it runs.
- B
Gets the second vertex.
- C
Gets the third vertex.
- Centroid
Gets the centroid of the triangle, where its three medians meet.
- IsClockwise
Gets a value indicating whether the vertices run clockwise.
- IsValid
Gets whether this is a shape a constructor could have made: every corner is a valid point.
- this[int]
Gets the vertex at a given index, counted from zero.
- Length
Gets the perimeter of the triangle.
- MinAngle
Gets the smallest of the three angles, in radians: the one that says how thin a triangle is.
- SignedArea
Gets the signed area of the triangle: positive when A, B, C run counter-clockwise, negative when they run clockwise.
Methods
- Clone()
Creates a copy of this triangle.
- CollidesWith(GeoArc2)
Checks whether this triangle touches an arc, using the default tolerance.
- CollidesWith(GeoArc2, Tolerance)
Checks whether this triangle touches an arc, within a tolerance.
- CollidesWith(GeoCircle2)
Checks whether this triangle touches a circle, using the default tolerance.
- CollidesWith(GeoCircle2, Tolerance)
Checks whether this triangle touches a circle, within a tolerance.
- CollidesWith(GeoEdge2)
Checks whether this triangle touches an edge, using the default tolerance.
- CollidesWith(GeoEdge2, Tolerance)
Checks whether this triangle touches an edge, within a tolerance.
- CollidesWith(GeoFace2)
Checks whether this triangle touches a face, using the default tolerance.
- CollidesWith(GeoFace2, Tolerance)
Checks whether this triangle touches a face, within a tolerance.
- CollidesWith(GeoLine2)
Checks whether this triangle touches a segment, using the default tolerance.
- CollidesWith(GeoLine2, Tolerance)
Checks whether this triangle touches a segment, within a tolerance.
- CollidesWith(GeoPolygon2)
Checks whether this triangle touches a polygon, using the default tolerance.
- CollidesWith(GeoPolygon2, Tolerance)
Checks whether this triangle touches a polygon, within a tolerance.
- CollidesWith(GeoPolygonArc2)
Checks whether this triangle touches a curved loop, using the default tolerance.
- CollidesWith(GeoPolygonArc2, Tolerance)
Checks whether this triangle touches a curved loop, within a tolerance.
- CollidesWith(GeoPolyline2)
Checks whether this triangle touches a polyline, using the default tolerance.
- CollidesWith(GeoPolyline2, Tolerance)
Checks whether this triangle touches a polyline, within a tolerance.
- CollidesWith(GeoPolylineArc2)
Checks whether this triangle touches a curved chain, using the default tolerance.
- CollidesWith(GeoPolylineArc2, Tolerance)
Checks whether this triangle touches a curved chain, within a tolerance.
- CollidesWith(GeoRectangle2)
Checks whether this triangle touches a rectangle, using the default tolerance.
- CollidesWith(GeoRectangle2, Tolerance)
Checks whether this triangle touches a rectangle, within a tolerance.
- CollidesWith(GeoTriangle2)
Checks whether this triangle touches another triangle, using the default tolerance.
- CollidesWith(GeoTriangle2, Tolerance)
Checks whether this triangle touches another triangle, within a tolerance.
- Contains(GeoLine2)
Checks whether this triangle holds a segment whole, its edges included, using the default tolerance.
- Contains(GeoLine2, Tolerance)
Checks whether this triangle holds a segment whole, its edges included, within a tolerance.
- Contains(GeoPoint2)
Checks whether a point lies inside this triangle or on its edges, using the default tolerance.
- Contains(GeoPoint2, Tolerance)
Checks whether a point lies inside this triangle or on its edges, within a tolerance.
- Contains(GeoPolyline2)
Checks whether this triangle holds a polyline whole, its edges included, using the default tolerance.
- Contains(GeoPolyline2, Tolerance)
Checks whether this triangle holds a polyline whole, its edges included, within a tolerance.
- DistanceTo(GeoArc2)
Gets the distance from this triangle to an arc, using the default tolerance.
- DistanceTo(GeoArc2, Tolerance)
Gets the distance from this triangle to an arc, within a tolerance.
- DistanceTo(GeoCircle2)
Gets the distance from this triangle to a circle.
- DistanceTo(GeoEdge2)
Gets the distance from this triangle to an edge.
- DistanceTo(GeoLine2)
Gets the distance from this triangle to a segment.
- DistanceTo(GeoPoint2)
Gets the distance from this triangle to a point: nought for a point within it.
- DistanceTo(GeoPolygon2)
Gets the distance from this triangle to a polygon.
- DistanceTo(GeoPolygonArc2)
Gets the distance from this triangle to a curved loop, using the default tolerance.
- DistanceTo(GeoPolygonArc2, Tolerance)
Gets the distance from this triangle to a curved loop, within a tolerance.
- DistanceTo(GeoPolyline2)
Gets the distance from this triangle to a polyline.
- DistanceTo(GeoPolylineArc2)
Gets the distance from this triangle to a curved chain, using the default tolerance.
- DistanceTo(GeoPolylineArc2, Tolerance)
Gets the distance from this triangle to a curved chain, within a tolerance.
- DistanceTo(GeoRectangle2)
Gets the distance from this triangle to a rectangle.
- DistanceTo(GeoTriangle2)
Gets the distance from this triangle to another triangle.
- Equals(GeoTriangle2)
Determines whether another triangle has exactly the same vertices, in the same order.
- Equals(object)
Determines whether the specified object is equal to the current triangle.
- GetAngles()
Gets the angles at A, B and C, in radians.
- GetClosestEdge(GeoCircle2)
Gets the edge of this triangle closest to a circle.
- GetClosestEdge(GeoLine2)
Gets the edge of this triangle closest to a segment.
- GetClosestEdge(GeoPoint2)
Gets the edge of this triangle closest to a point.
- GetClosestPointOnBoundary(GeoPoint2)
Gets the point on the edges of this triangle closest to a point.
- GetDistanceAtParameter(double)
Gets the length walked along the edges from A to a normalized parameter.
- GetDistanceAtPoint(GeoPoint2)
Gets the length walked along the edges from A to the point on them closest to a point.
- GetEdgeAt(int)
Gets the edge at a given index: 0 is A to B, 1 is B to C, 2 is C to A.
- GetEdges()
Gets the three edges, A to B, B to C and C to A.
- GetHashCode()
Returns the hash code for this instance.
- GetIntersections(GeoArc2)
Gets every point where the edges of this triangle meet an arc, using the default tolerance.
- GetIntersections(GeoArc2, Tolerance)
Gets every point where the edges of this triangle meet an arc, within a tolerance.
- GetIntersections(GeoCircle2)
Gets every point where the edges of this triangle meet a circle, using the default tolerance.
- GetIntersections(GeoCircle2, Tolerance)
Gets every point where the edges of this triangle meet a circle, within a tolerance.
- GetIntersections(GeoEdge2)
Gets every point where the edges of this triangle meet an edge, using the default tolerance.
- GetIntersections(GeoEdge2, Tolerance)
Gets every point where the edges of this triangle meet an edge, within a tolerance.
- GetIntersections(GeoFace2)
Gets every point where the edges of this triangle meet a face, using the default tolerance.
- GetIntersections(GeoFace2, Tolerance)
Gets every point where the edges of this triangle meet a face, within a tolerance.
- GetIntersections(GeoLine2)
Gets every point where the edges of this triangle meet a segment, using the default tolerance.
- GetIntersections(GeoLine2, Tolerance)
Gets every point where the edges of this triangle meet a segment, within a tolerance.
- GetIntersections(GeoPolygon2)
Gets every point where the edges of this triangle meet a polygon, using the default tolerance.
- GetIntersections(GeoPolygon2, Tolerance)
Gets every point where the edges of this triangle meet a polygon, within a tolerance.
- GetIntersections(GeoPolygonArc2)
Gets every point where the edges of this triangle meet a curved loop, using the default tolerance.
- GetIntersections(GeoPolygonArc2, Tolerance)
Gets every point where the edges of this triangle meet a curved loop, within a tolerance.
- GetIntersections(GeoPolyline2)
Gets every point where the edges of this triangle meet a polyline, using the default tolerance.
- GetIntersections(GeoPolyline2, Tolerance)
Gets every point where the edges of this triangle meet a polyline, within a tolerance.
- GetIntersections(GeoPolylineArc2)
Gets every point where the edges of this triangle meet a curved chain, using the default tolerance.
- GetIntersections(GeoPolylineArc2, Tolerance)
Gets every point where the edges of this triangle meet a curved chain, within a tolerance.
- GetIntersections(GeoRectangle2)
Gets every point where the edges of this triangle meet a rectangle, using the default tolerance.
- GetIntersections(GeoRectangle2, Tolerance)
Gets every point where the edges of this triangle meet a rectangle, within a tolerance.
- GetIntersections(GeoTriangle2)
Gets every point where the edges of this triangle meet another triangle, using the default tolerance.
- GetIntersections(GeoTriangle2, Tolerance)
Gets every point where the edges of this triangle meet another triangle, within a tolerance.
- GetParameterAtDistance(double)
Gets the normalized parameter at a length walked along the edges from A.
- GetParameterAtPoint(GeoPoint2)
Gets the normalized parameter along the edges of the point on them closest to a point.
- GetPointAtBarycentric(double, double, double)
Gets the point at given barycentric coordinates.
- GetPointAtDistance(double)
Gets the point at a length walked along the edges from A; lengths past the perimeter wrap round.
- GetPointAtParameter(double)
Gets the point at a normalized parameter along the edges, from A, where 1 is all the way round; values outside [0, 1] wrap round, so 1.25 is the same place as 0.25.
- GetShortestLineTo(GeoArc2)
Gets the shortest segment leaving this triangle and landing on an arc, using the default tolerance.
- GetShortestLineTo(GeoArc2, Tolerance)
Gets the shortest segment leaving this triangle and landing on an arc, within a tolerance.
- GetShortestLineTo(GeoCircle2)
Gets the shortest segment leaving this triangle and landing on a circle, using the default tolerance.
- GetShortestLineTo(GeoCircle2, Tolerance)
Gets the shortest segment leaving this triangle and landing on a circle, within a tolerance.
- GetShortestLineTo(GeoEdge2)
Gets the shortest segment leaving this triangle and landing on an edge, using the default tolerance.
- GetShortestLineTo(GeoEdge2, Tolerance)
Gets the shortest segment leaving this triangle and landing on an edge, within a tolerance.
- GetShortestLineTo(GeoFace2)
Gets the shortest segment leaving this triangle and landing on a face, using the default tolerance.
- GetShortestLineTo(GeoFace2, Tolerance)
Gets the shortest segment leaving this triangle and landing on a face, within a tolerance.
- GetShortestLineTo(GeoLine2)
Gets the shortest segment leaving this triangle and landing on a segment, using the default tolerance.
- GetShortestLineTo(GeoLine2, Tolerance)
Gets the shortest segment leaving this triangle and landing on a segment, within a tolerance.
- GetShortestLineTo(GeoPolygon2)
Gets the shortest segment leaving this triangle and landing on a polygon, using the default tolerance.
- GetShortestLineTo(GeoPolygon2, Tolerance)
Gets the shortest segment leaving this triangle and landing on a polygon, within a tolerance.
- GetShortestLineTo(GeoPolygonArc2)
Gets the shortest segment leaving this triangle and landing on a curved loop, using the default tolerance.
- GetShortestLineTo(GeoPolygonArc2, Tolerance)
Gets the shortest segment leaving this triangle and landing on a curved loop, within a tolerance.
- GetShortestLineTo(GeoPolyline2)
Gets the shortest segment leaving this triangle and landing on a polyline, using the default tolerance.
- GetShortestLineTo(GeoPolyline2, Tolerance)
Gets the shortest segment leaving this triangle and landing on a polyline, within a tolerance.
- GetShortestLineTo(GeoPolylineArc2)
Gets the shortest segment leaving this triangle and landing on a curved chain, using the default tolerance.
- GetShortestLineTo(GeoPolylineArc2, Tolerance)
Gets the shortest segment leaving this triangle and landing on a curved chain, within a tolerance.
- GetShortestLineTo(GeoRectangle2)
Gets the shortest segment leaving this triangle and landing on a rectangle, using the default tolerance.
- GetShortestLineTo(GeoRectangle2, Tolerance)
Gets the shortest segment leaving this triangle and landing on a rectangle, within a tolerance.
- GetShortestLineTo(GeoTriangle2)
Gets the shortest segment leaving this triangle and landing on another triangle, using the default tolerance.
- GetShortestLineTo(GeoTriangle2, Tolerance)
Gets the shortest segment leaving this triangle and landing on another triangle, within a tolerance.
- GetVertices()
Gets the three vertices, in order.
- IsDegenerate()
Checks whether the triangle has no area, using the default tolerance.
- IsDegenerate(Tolerance)
Checks whether the triangle has no area, within a tolerance.
- IsEqualTo(GeoTriangle2)
Compares whether this triangle equals another triangle using the default tolerance.
- IsEqualTo(GeoTriangle2, Tolerance)
Compares whether this triangle equals another triangle within a tolerance.
- IsParallelTo(GeoLine2)
Checks whether an edge of this triangle runs parallel to a segment, using the default tolerance.
- IsParallelTo(GeoLine2, Tolerance)
Checks whether an edge of this triangle runs parallel to a segment, within a tolerance.
- Locate(GeoPoint2)
Locates a point relative to this triangle, using the default tolerance.
- Locate(GeoPoint2, Tolerance)
Locates a point relative to this triangle, within a tolerance: on its edges, inside it, or outside.
- Reverse()
Gets the triangle running the other way round: A, C, B.
- RotateBy(double, GeoPoint2)
Rotates the triangle around a point, counter-clockwise by an angle in radians.
- SignedDistanceTo(GeoPoint2)
Gets the distance from this triangle to a point, negative for a point within it, using the default tolerance.
- SignedDistanceTo(GeoPoint2, Tolerance)
Gets the distance from this triangle to a point, negative for a point within it, within a tolerance.
- ToPolygon()
Reads the triangle as a three-sided polygon, running the way the triangle does.
- ToPolyline()
Reads the boundary of the triangle as a closed chain, A to B to C and back to A.
- ToString()
Returns a string that represents the current triangle.
- ToTriangle3(GeoCoordinateSystem3)
Puts this triangle of the plane into space, on the plane of a frame.
- TransformBy(GeoTransform2)
Applies a transformation to this triangle. A transformation that turns shapes round, a mirror or a negative scaling, reverses the winding.
- Translate(GeoVector2)
Moves the triangle by a vector.
- TryGetBarycentric(GeoPoint2, out double, out double, out double)
Gets the barycentric coordinates of a point with respect to this triangle.
- TryGetCircumcircle(out GeoCircle2)
Gets the circle through all three vertices.
- TryGetIncircle(out GeoCircle2)
Gets the largest circle inside the triangle, touching all three edges.
- TryIntersectWith(GeoArc2, out GeoPoint2[])
Tries to find where the edges of this triangle meet an arc, using the default tolerance.
- TryIntersectWith(GeoArc2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet an arc, within a tolerance.
- TryIntersectWith(GeoCircle2, out GeoPoint2[])
Tries to find where the edges of this triangle meet a circle, using the default tolerance.
- TryIntersectWith(GeoCircle2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet a circle, within a tolerance.
- TryIntersectWith(GeoEdge2, out GeoPoint2[])
Tries to find where the edges of this triangle meet an edge, using the default tolerance.
- TryIntersectWith(GeoEdge2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet an edge, within a tolerance.
- TryIntersectWith(GeoFace2, out GeoPoint2[])
Tries to find where the edges of this triangle meet a face, using the default tolerance.
- TryIntersectWith(GeoFace2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet a face, within a tolerance.
- TryIntersectWith(GeoLine2, out GeoPoint2[])
Tries to find where the edges of this triangle meet a segment, using the default tolerance.
- TryIntersectWith(GeoLine2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet a segment, within a tolerance.
- TryIntersectWith(GeoPolygon2, out GeoPoint2[])
Tries to find where the edges of this triangle meet a polygon, using the default tolerance.
- TryIntersectWith(GeoPolygon2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet a polygon, within a tolerance.
- TryIntersectWith(GeoPolygonArc2, out GeoPoint2[])
Tries to find where the edges of this triangle meet a curved loop, using the default tolerance.
- TryIntersectWith(GeoPolygonArc2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet a curved loop, within a tolerance.
- TryIntersectWith(GeoPolyline2, out GeoPoint2[])
Tries to find where the edges of this triangle meet a polyline, using the default tolerance.
- TryIntersectWith(GeoPolyline2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet a polyline, within a tolerance.
- TryIntersectWith(GeoPolylineArc2, out GeoPoint2[])
Tries to find where the edges of this triangle meet a curved chain, using the default tolerance.
- TryIntersectWith(GeoPolylineArc2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet a curved chain, within a tolerance.
- TryIntersectWith(GeoRectangle2, out GeoPoint2[])
Tries to find where the edges of this triangle meet a rectangle, using the default tolerance.
- TryIntersectWith(GeoRectangle2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet a rectangle, within a tolerance.
- TryIntersectWith(GeoTriangle2, out GeoPoint2[])
Tries to find where the edges of this triangle meet another triangle, using the default tolerance.
- TryIntersectWith(GeoTriangle2, out GeoPoint2[], Tolerance)
Tries to find where the edges of this triangle meet another triangle, within a tolerance.
Operators
- operator +(GeoTriangle2, GeoVector2)
Translates a triangle by a vector.
- operator ==(GeoTriangle2, GeoTriangle2)
Checks if two triangles have exactly the same vertices, in the same order.
- operator !=(GeoTriangle2, GeoTriangle2)
Checks if two triangles differ in any vertex.
- operator -(GeoTriangle2, GeoVector2)
Translates a triangle backwards by a vector.