public static bool Contains3DPoint(Vector3 point, bool checkOnPlane, Vector3 quadCenter, float quadWidth, float quadHeight, Vector3 quadRight,
Vector3 quadUp, QuadEpsilon epsilon = new QuadEpsilon())
{
Plane quadPlane = new Plane(Vector3.Cross(quadRight, quadUp).normalized, quadCenter);
if (checkOnPlane && quadPlane.GetAbsDistanceToPoint(point) > epsilon.ExtrudeEps)
{
return(false);
}
quadWidth += epsilon.WidthEps;
quadHeight += epsilon.HeightEps;
Vector3 toPoint = point - quadCenter;
float dotRight = toPoint.AbsDot(quadRight);
float dotUp = toPoint.AbsDot(quadUp);
if (dotRight > quadWidth * 0.5f)
{
return(false);
}
if (dotUp > quadHeight * 0.5f)
{
return(false);
}
return(true);
}
public static bool Is2DPointOnBorder(Vector2 point, Vector2 quadCenter, float quadWidth, float quadHeight,
float degreeRotation, QuadEpsilon epsilon = new QuadEpsilon())
{
Vector2 right, up;
Calc2DQuadRightUp(degreeRotation, out right, out up);
return(Is2DPointOnBorder(point, quadCenter, quadWidth, quadHeight, right, up, epsilon));
}
public static bool Is2DPointOnBorder(Vector2 point, Vector2 quadCenter, float quadWidth, float quadHeight, Vector2 quadRight,
Vector2 quadUp, QuadEpsilon epsilon = new QuadEpsilon())
{
var segmentEps = new SegmentEpsilon();
segmentEps.PtOnSegmentEps = epsilon.WireEps;
var corners = Calc2DQuadCornerPoints(quadCenter, new Vector2(quadWidth, quadHeight), quadRight, quadUp);
for (int ptIndex = 0; ptIndex < corners.Count; ++ptIndex)
{
Vector2 startPt = corners[ptIndex];
Vector2 endPt = corners[(ptIndex + 1) % corners.Count];
if (SegmentMath.Is2DPointOnSegment(point, startPt, endPt, segmentEps))
{
return(true);
}
}
return(false);
}
public static bool Contains2DPoint(Vector2 point, Vector2 quadCenter, float quadWidth, float quadHeight, Vector2 quadRight,
Vector2 quadUp, QuadEpsilon epsilon = new QuadEpsilon())
{
quadWidth += epsilon.WidthEps;
quadHeight += epsilon.HeightEps;
Vector2 toPoint = point - quadCenter;
float dotRight = toPoint.AbsDot(quadRight);
float dotUp = toPoint.AbsDot(quadUp);
if (dotRight > quadWidth * 0.5f)
{
return(false);
}
if (dotUp > quadHeight * 0.5f)
{
return(false);
}
return(true);
}
public static OBB Calc3DQuadOBB(Vector3 quadCenter, Vector2 quadSize, Quaternion quadRotation, QuadEpsilon epsilon = new QuadEpsilon())
{
Vector3 size = quadSize + epsilon.SizeEps;
size.z = epsilon.ExtrudeEps * 2.0f;
return(new OBB(quadCenter, size, quadRotation));
}
public static bool RaycastWire(Ray ray, out float t, Vector3 quadCenter, float quadWidth, float quadHeight, Vector3 quadRight, Vector3 quadUp, QuadEpsilon epsilon = new QuadEpsilon())
{
t = 0.0f;
Vector3 quadNormal = Vector3.Normalize(Vector3.Cross(quadRight, quadUp));
Plane quadPlane = new Plane(quadNormal, quadCenter);
Vector2 quadSize = new Vector2(quadWidth, quadHeight);
Quaternion quadRotation = Quaternion.LookRotation(quadNormal, quadUp);
float rayEnter;
if (quadPlane.Raycast(ray, out rayEnter))
{
Vector3 intersectPt = ray.GetPoint(rayEnter);
var cornerPoints = Calc3DQuadCornerPoints(quadCenter, quadSize, quadRotation);
float distFromSegment = intersectPt.GetDistanceToSegment(cornerPoints[(int)QuadCorner.TopLeft], cornerPoints[(int)QuadCorner.TopRight]);
if (distFromSegment <= epsilon.WireEps)
{
t = rayEnter;
return(true);
}
distFromSegment = intersectPt.GetDistanceToSegment(cornerPoints[(int)QuadCorner.TopRight], cornerPoints[(int)QuadCorner.BottomRight]);
if (distFromSegment <= epsilon.WireEps)
{
t = rayEnter;
return(true);
}
distFromSegment = intersectPt.GetDistanceToSegment(cornerPoints[(int)QuadCorner.BottomRight], cornerPoints[(int)QuadCorner.BottomLeft]);
if (distFromSegment <= epsilon.WireEps)
{
t = rayEnter;
return(true);
}
distFromSegment = intersectPt.GetDistanceToSegment(cornerPoints[(int)QuadCorner.BottomLeft], cornerPoints[(int)QuadCorner.TopLeft]);
if (distFromSegment <= epsilon.WireEps)
{
t = rayEnter;
return(true);
}
}
if (epsilon.ExtrudeEps != 0.0f)
{
float dot = Vector3Ex.AbsDot(ray.direction, quadPlane.normal);
if (dot < ExtrudeEpsThreshold.Get)
{
OBB quadOBB = Calc3DQuadOBB(quadCenter, quadSize, Quaternion.LookRotation(quadNormal, quadUp), epsilon);
return(BoxMath.Raycast(ray, quadOBB.Center, quadOBB.Size, quadOBB.Rotation));
}
}
return(false);
}
public static bool Raycast(Ray ray, out float t, Vector3 quadCenter, float quadWidth, float quadHeight, Vector3 quadRight, Vector3 quadUp, QuadEpsilon epsilon = new QuadEpsilon())
{
t = 0.0f;
Vector3 quadNormal = Vector3.Normalize(Vector3.Cross(quadRight, quadUp));
Plane quadPlane = new Plane(quadNormal, quadCenter);
float rayEnter;
if (quadPlane.Raycast(ray, out rayEnter) &&
Contains3DPoint(ray.GetPoint(rayEnter), false, quadCenter, quadWidth, quadHeight, quadRight, quadUp, epsilon))
{
t = rayEnter;
return(true);
}
if (epsilon.ExtrudeEps != 0.0f)
{
float dot = Vector3Ex.AbsDot(ray.direction, quadPlane.normal);
if (dot < ExtrudeEpsThreshold.Get)
{
OBB quadOBB = Calc3DQuadOBB(quadCenter, new Vector2(quadWidth, quadHeight), Quaternion.LookRotation(quadNormal, quadUp), epsilon);
return(BoxMath.Raycast(ray, quadOBB.Center, quadOBB.Size, quadOBB.Rotation));
}
}
return(false);
}