private void CreateBezier(Vector3 centre, bool defaultIs2D = false)
{
if (_bezierPath != null)
{
_bezierPath.OnModified -= BezierPathEdited;
}
var space = defaultIs2D ? PathSpace.xy : PathSpace.xyz;
_bezierPath = new BezierPath(centre, false, space);
_bezierPath.OnModified += BezierPathEdited;
vertexPathUpToDate = false;
bezierOrVertexPathModified?.Invoke();
bezierCreated?.Invoke();
}
/// Internal contructor
VertexPath(BezierPath bezierPath, VertexPathUtility.PathSplitData pathSplitData, Transform transform)
{
this.transform = transform;
space = bezierPath.Space;
isClosedLoop = bezierPath.IsClosed;
int numVerts = pathSplitData.vertices.Count;
length = pathSplitData.cumulativeLength[numVerts - 1];
localPoints = new Vector3[numVerts];
localNormals = new Vector3[numVerts];
localTangents = new Vector3[numVerts];
cumulativeLengthAtEachVertex = new float[numVerts];
times = new float[numVerts];
bounds = new Bounds((pathSplitData.minMax.Min + pathSplitData.minMax.Max) / 2,
pathSplitData.minMax.Max - pathSplitData.minMax.Min);
// Figure out up direction for path
up = (bounds.size.z > bounds.size.y) ? Vector3.up : -Vector3.forward;
Vector3 lastRotationAxis = up;
// Loop through the data and assign to arrays.
for (int i = 0; i < localPoints.Length; i++)
{
localPoints[i] = pathSplitData.vertices[i];
localTangents[i] = pathSplitData.tangents[i];
cumulativeLengthAtEachVertex[i] = pathSplitData.cumulativeLength[i];
times[i] = cumulativeLengthAtEachVertex[i] / length;
// Calculate normals
if (space == PathSpace.xyz)
{
if (i == 0)
{
localNormals[0] = Vector3.Cross(lastRotationAxis, pathSplitData.tangents[0]).normalized;
}
else
{
// First reflection
Vector3 offset = (localPoints[i] - localPoints[i - 1]);
float sqrDst = offset.sqrMagnitude;
Vector3 r = lastRotationAxis - offset * 2 / sqrDst * Vector3.Dot(offset, lastRotationAxis);
Vector3 t = localTangents[i - 1] -
offset * 2 / sqrDst * Vector3.Dot(offset, localTangents[i - 1]);
// Second reflection
Vector3 v2 = localTangents[i] - t;
float c2 = Vector3.Dot(v2, v2);
Vector3 finalRot = r - v2 * 2 / c2 * Vector3.Dot(v2, r);
Vector3 n = Vector3.Cross(finalRot, localTangents[i]).normalized;
localNormals[i] = n;
lastRotationAxis = finalRot;
}
}
else
{
localNormals[i] = Vector3.Cross(localTangents[i], up) * ((bezierPath.FlipNormals) ? 1 : -1);
}
}
// Apply correction for 3d normals along a closed path
if (space == PathSpace.xyz && isClosedLoop)
{
// Get angle between first and last normal (if zero, they're already lined up, otherwise we need to correct)
float normalsAngleErrorAcrossJoin = Vector3.SignedAngle(localNormals[localNormals.Length - 1],
localNormals[0], localTangents[0]);
// Gradually rotate the normals along the path to ensure start and end normals line up correctly
if (Mathf.Abs(normalsAngleErrorAcrossJoin) > 0.1f) // don't bother correcting if very nearly correct
{
for (int i = 1; i < localNormals.Length; i++)
{
float t = (i / (localNormals.Length - 1f));
float angle = normalsAngleErrorAcrossJoin * t;
Quaternion rot = Quaternion.AngleAxis(angle, localTangents[i]);
localNormals[i] = rot * localNormals[i] * ((bezierPath.FlipNormals) ? -1 : 1);
}
}
}
// Rotate normals to match up with user-defined anchor angles
if (space == PathSpace.xyz)
{
for (int anchorIndex = 0; anchorIndex < pathSplitData.anchorVertexMap.Count - 1; anchorIndex++)
{
int nextAnchorIndex = (isClosedLoop) ? (anchorIndex + 1) % bezierPath.NumSegments : anchorIndex + 1;
float startAngle = bezierPath.GetAnchorNormalAngle(anchorIndex) + bezierPath.GlobalNormalsAngle;
float endAngle = bezierPath.GetAnchorNormalAngle(nextAnchorIndex) + bezierPath.GlobalNormalsAngle;
float deltaAngle = Mathf.DeltaAngle(startAngle, endAngle);
int startVertIndex = pathSplitData.anchorVertexMap[anchorIndex];
int endVertIndex = pathSplitData.anchorVertexMap[anchorIndex + 1];
int num = endVertIndex - startVertIndex;
if (anchorIndex == pathSplitData.anchorVertexMap.Count - 2)
{
num += 1;
}
for (int i = 0; i < num; i++)
{
int vertIndex = startVertIndex + i;
float t = i / (num - 1f);
float angle = startAngle + deltaAngle * t;
Quaternion rot = Quaternion.AngleAxis(angle, localTangents[vertIndex]);
localNormals[vertIndex] = (rot * localNormals[vertIndex]) * ((bezierPath.FlipNormals) ? -1 : 1);
}
}
}
}
/// <summary> Splits bezier path into array of vertices along the path.</summary>
///<param name="maxAngleError">How much can the angle of the path change before a vertex is added. This allows fewer vertices to be generated in straighter sections.</param>
///<param name="minVertexDst">Vertices won't be added closer together than this distance, regardless of angle error.</param>
///<param name="accuracy">Higher value means the change in angle is checked more frequently.</param>
public VertexPath(BezierPath bezierPath, Transform transform, float vertexSpacing) : this(bezierPath,
VertexPathUtility.SplitBezierPathEvenly(bezierPath, Mathf.Max(vertexSpacing, minVertexSpacing),
VertexPath.accuracy), transform)
{
}
/// <summary> Splits bezier path into array of vertices along the path.</summary>
///<param name="maxAngleError">How much can the angle of the path change before a vertex is added. This allows fewer vertices to be generated in straighter sections.</param>
///<param name="minVertexDst">Vertices won't be added closer together than this distance, regardless of angle error.</param>
public VertexPath(BezierPath bezierPath, Transform transform, float maxAngleError = 0.3f,
float minVertexDst = 0) : this(bezierPath,
VertexPathUtility.SplitBezierPathByAngleError(bezierPath, maxAngleError, minVertexDst, VertexPath.accuracy),
transform)
{
}