/// <summary>
/// Gets the tangents.
/// </summary>
/// <param name="inTangent">In tangent.</param>
/// <param name="outTangent">Out tangent.</param>
/// <param name="previousPoint">Previous point.</param>
/// <param name="point">Point.</param>
/// <param name="nextPoint">Next point.</param>
public static void GetTangents(out Vector3 inTangent, out Vector3 outTangent, IBezierPoint previousPoint,
IBezierPoint point, IBezierPoint nextPoint)
{
switch (point.tangentMode)
{
case TangentMode.Smooth:
inTangent = point.inTangent;
outTangent = point.inTangent * -1.0f;
break;
case TangentMode.Corner:
inTangent = point.inTangent;
outTangent = point.outTangent;
break;
case TangentMode.Symmetric:
GetSymmetricTangents(out inTangent, out outTangent, previousPoint, point, nextPoint);
break;
case TangentMode.Auto:
GetAutoTangents(out inTangent, out outTangent, previousPoint, point, nextPoint);
break;
default:
throw new ArgumentOutOfRangeException();
}
}
/// <summary>
/// Gets the out tangent.
/// </summary>
/// <returns>The out tangent.</returns>
/// <param name="previousPoint">Previous point.</param>
/// <param name="point">Point.</param>
/// <param name="nextPoint">Next point.</param>
public static Vector3 GetOutTangent(IBezierPoint previousPoint, IBezierPoint point, IBezierPoint nextPoint)
{
Vector3 inTangent;
Vector3 outTangent;
GetTangents(out inTangent, out outTangent, previousPoint, point, nextPoint);
return(outTangent);
}
/// <summary>
/// Using the curve between pointA and pointB we take a discrete number of line segments
/// and return all of the points that make those lines.
/// </summary>
/// <returns>The segment points.</returns>
/// <param name="output">Output.</param>
/// <param name="pointA">Point a.</param>
/// <param name="pointB">Point b.</param>
/// <param name="pointC">Point c.</param>
/// <param name="pointD">Point d.</param>
public static void GetSegmentPoints(ref Vector3[] output, IBezierPoint pointA, IBezierPoint pointB,
IBezierPoint pointC, IBezierPoint pointD)
{
Array.Resize(ref s_SegmentPointDeltas, LENGTH_LINE_SEGMENTS + 1);
for (int index = 0; index < LENGTH_LINE_SEGMENTS + 1; index++)
{
s_SegmentPointDeltas[index] = DELTA_LINE_SEGMENTS * index;
}
Interpolate(ref output, pointA, pointB, pointC, pointD, s_SegmentPointDeltas);
}
/// <summary>
/// Draws the handle for a bezier points tangents.
/// </summary>
/// <param name="pointA">Point a.</param>
/// <param name="pointB">Point b.</param>
/// <param name="pointC">Point c.</param>
public static void BezierPointTangentsHandle(IBezierPoint pointA, IBezierPoint pointB, IBezierPoint pointC)
{
if (pointA != null)
{
Vector3 inTangent = BezierPath.GetInTangent(pointA, pointB, pointC);
pointB.inTangent = TangentHandle(pointB.position, inTangent);
}
if (pointC != null)
{
Vector3 outTangent = BezierPath.GetOutTangent(pointA, pointB, pointC);
pointB.outTangent = TangentHandle(pointB.position, outTangent);
}
}
/// <summary>
/// Returns the positions on the curve between the two points at the given deltas.
///
/// This method is faster than calling Interpolate multiple times for the same patch.
/// </summary>
/// <returns>The interpolated positions.</returns>
/// <param name="output">Output.</param>
/// <param name="pointA">Point a.</param>
/// <param name="pointB">Point b.</param>
/// <param name="pointC">Point c.</param>
/// <param name="pointD">Point d.</param>
/// <param name="deltas">Deltas.</param>
public static void Interpolate(ref Vector3[] output, IBezierPoint pointA, IBezierPoint pointB, IBezierPoint pointC,
IBezierPoint pointD, float[] deltas)
{
Array.Resize(ref output, deltas.Length);
Vector3 outTangent = GetOutTangent(pointA, pointB, pointC);
Vector3 inTangent = GetInTangent(pointB, pointC, pointD);
for (int index = 0; index < deltas.Length; index++)
{
float delta = deltas[index];
float x = ComputeBezier(pointB.position.x, outTangent.x, inTangent.x, pointC.position.x, delta);
float y = ComputeBezier(pointB.position.y, outTangent.y, inTangent.y, pointC.position.y, delta);
float z = ComputeBezier(pointB.position.z, outTangent.z, inTangent.z, pointC.position.z, delta);
output[index] = new Vector3(x, y, z);
}
}
/// <summary>
/// Draws the bezier segment between pointB and pointC.
/// </summary>
/// <param name="pointA">Point a.</param>
/// <param name="pointB">Point b.</param>
/// <param name="pointC">Point c.</param>
/// <param name="pointD">Point d.</param>
public static void BezierSegmentHandle(IBezierPoint pointA, IBezierPoint pointB, IBezierPoint pointC,
IBezierPoint pointD)
{
if (Event.current.type != EventType.Repaint)
{
return;
}
BezierPath.GetSegmentPoints(ref s_BezierPoints, pointA, pointB, pointC, pointD);
HandleUtils.BeginGL(GL.LINES, HandleUtils.handleWireMaterial);
for (int index = 0; index < s_BezierPoints.Length - 1; index++)
{
GL.Vertex(s_BezierPoints[index]);
GL.Vertex(s_BezierPoints[index + 1]);
}
HandleUtils.EndGL();
}
/// <summary>
/// Draws the handles.
/// </summary>
public static void DrawHandles(SerializedProperty prop)
{
FindProperties(prop);
for (int index = 0; index < s_PointsProp.arraySize; index++)
{
// Get all of the points to draw the patch
IBezierPoint pointA = GetPoint(ref s_PointA, index - 1);
IBezierPoint pointB = GetPoint(ref s_PointB, index);
IBezierPoint pointC = GetPoint(ref s_PointC, index + 1);
IBezierPoint pointD = GetPoint(ref s_PointD, index + 2);
BezierPointHandle(pointB);
if (pointC != null)
{
BezierSegmentHandle(pointA, pointB, pointC, pointD);
}
switch (pointB.tangentMode)
{
case TangentMode.Corner:
BezierPointTangentsHandle(pointA, pointB, pointC);
break;
case TangentMode.Smooth:
BezierPointTangentsHandle(pointA, pointB, pointC);
break;
case TangentMode.Auto:
break;
case TangentMode.Symmetric:
break;
default:
throw new ArgumentOutOfRangeException();
}
}
}
/// <summary>
/// Gets the symmetric tangents.
/// </summary>
/// <param name="inTangent">In tangent.</param>
/// <param name="outTangent">Out tangent.</param>
/// <param name="previousPoint">Previous point.</param>
/// <param name="point">Point.</param>
/// <param name="nextPoint">Next point.</param>
private static void GetSymmetricTangents(out Vector3 inTangent, out Vector3 outTangent, IBezierPoint previousPoint,
IBezierPoint point, IBezierPoint nextPoint)
{
Vector3 previousToNext;
Vector3 thisToPrevious = Vector3.zero;
Vector3 thisToNext = Vector3.zero;
if (previousPoint != null)
{
thisToPrevious = previousPoint.position - point.position;
}
if (nextPoint != null)
{
thisToNext = nextPoint.position - point.position;
}
if (previousPoint == null)
{
previousToNext = thisToNext;
}
else if (nextPoint == null)
{
previousToNext = thisToPrevious;
}
else
{
previousToNext = nextPoint.position - previousPoint.position;
}
float inTangentMagnitude = thisToPrevious.magnitude / 3.0f;
float outTangentMagnitude = thisToNext.magnitude / 3.0f;
float averageMagnitude = (inTangentMagnitude + outTangentMagnitude) / 2.0f;
inTangent = -1.0f * averageMagnitude * previousToNext.normalized;
outTangent = averageMagnitude * previousToNext.normalized;
}
/// <summary>
/// Gets the out tangent.
/// </summary>
/// <returns>The out tangent.</returns>
/// <param name="previousPoint">Previous point.</param>
/// <param name="point">Point.</param>
/// <param name="nextPoint">Next point.</param>
public static Vector3 GetOutTangent(IBezierPoint previousPoint, IBezierPoint point, IBezierPoint nextPoint)
{
Vector3 inTangent;
Vector3 outTangent;
GetTangents(out inTangent, out outTangent, previousPoint, point, nextPoint);
return outTangent;
}
/// <summary>
/// Draws the handle for a bezier points tangents.
/// </summary>
/// <param name="pointA">Point a.</param>
/// <param name="pointB">Point b.</param>
/// <param name="pointC">Point c.</param>
public static void BezierPointTangentsHandle(IBezierPoint pointA, IBezierPoint pointB, IBezierPoint pointC)
{
if (pointA != null)
{
Vector3 inTangent = BezierPath.GetInTangent(pointA, pointB, pointC);
pointB.inTangent = TangentHandle(pointB.position, inTangent);
}
if (pointC != null)
{
Vector3 outTangent = BezierPath.GetOutTangent(pointA, pointB, pointC);
pointB.outTangent = TangentHandle(pointB.position, outTangent);
}
}
/// <summary>
/// Returns the positions on the curve between the two points at the given deltas.
///
/// This method is faster than calling Interpolate multiple times for the same patch.
/// </summary>
/// <returns>The interpolated positions.</returns>
/// <param name="output">Output.</param>
/// <param name="pointA">Point a.</param>
/// <param name="pointB">Point b.</param>
/// <param name="pointC">Point c.</param>
/// <param name="pointD">Point d.</param>
/// <param name="deltas">Deltas.</param>
public static void Interpolate(ref Vector3[] output, IBezierPoint pointA, IBezierPoint pointB, IBezierPoint pointC,
IBezierPoint pointD, float[] deltas)
{
Array.Resize(ref output, deltas.Length);
Vector3 outTangent = GetOutTangent(pointA, pointB, pointC);
Vector3 inTangent = GetInTangent(pointB, pointC, pointD);
for (int index = 0; index < deltas.Length; index++)
{
float delta = deltas[index];
float x = ComputeBezier(pointB.position.x, outTangent.x, inTangent.x, pointC.position.x, delta);
float y = ComputeBezier(pointB.position.y, outTangent.y, inTangent.y, pointC.position.y, delta);
float z = ComputeBezier(pointB.position.z, outTangent.z, inTangent.z, pointC.position.z, delta);
output[index] = new Vector3(x, y, z);
}
}
/// <summary>
/// Draws the handle for a bezier point.
/// </summary>
/// <param name="point">Point.</param>
public static void BezierPointHandle(IBezierPoint point)
{
float pointSize = HandleUtils.GetDotSize(point.position);
point.position = Handles.FreeMoveHandle(point.position, Quaternion.identity, pointSize, Vector3.zero, Handles.DotCap);
}
/// <summary>
/// Using the curve between pointA and pointB we take a discrete number of line segments
/// and return all of the points that make those lines.
/// </summary>
/// <returns>The segment points.</returns>
/// <param name="output">Output.</param>
/// <param name="pointA">Point a.</param>
/// <param name="pointB">Point b.</param>
/// <param name="pointC">Point c.</param>
/// <param name="pointD">Point d.</param>
public static void GetSegmentPoints(ref Vector3[] output, IBezierPoint pointA, IBezierPoint pointB,
IBezierPoint pointC, IBezierPoint pointD)
{
Array.Resize(ref s_SegmentPointDeltas, LENGTH_LINE_SEGMENTS + 1);
for (int index = 0; index < LENGTH_LINE_SEGMENTS + 1; index++)
s_SegmentPointDeltas[index] = DELTA_LINE_SEGMENTS * index;
Interpolate(ref output, pointA, pointB, pointC, pointD, s_SegmentPointDeltas);
}
/// <summary>
/// Gets the auto tangents.
/// </summary>
/// <param name="inTangent">In tangent.</param>
/// <param name="outTangent">Out tangent.</param>
/// <param name="previousPoint">Previous point.</param>
/// <param name="point">Point.</param>
/// <param name="nextPoint">Next point.</param>
private static void GetAutoTangents(out Vector3 inTangent, out Vector3 outTangent, IBezierPoint previousPoint,
IBezierPoint point, IBezierPoint nextPoint)
{
Vector3 previousToNext;
Vector3 thisToPrevious = Vector3.zero;
Vector3 thisToNext = Vector3.zero;
if (previousPoint != null)
thisToPrevious = previousPoint.position - point.position;
if (nextPoint != null)
thisToNext = nextPoint.position - point.position;
if (previousPoint == null)
previousToNext = thisToNext;
else if (nextPoint == null)
previousToNext = thisToPrevious;
else
previousToNext = nextPoint.position - previousPoint.position;
float inTangentMagnitude = thisToPrevious.magnitude / 3.0f;
float outTangentMagnitude = thisToNext.magnitude / 3.0f;
inTangent = -1.0f * inTangentMagnitude * previousToNext.normalized;
outTangent = outTangentMagnitude * previousToNext.normalized;
}
/// <summary>
/// Gets the tangents.
/// </summary>
/// <param name="inTangent">In tangent.</param>
/// <param name="outTangent">Out tangent.</param>
/// <param name="previousPoint">Previous point.</param>
/// <param name="point">Point.</param>
/// <param name="nextPoint">Next point.</param>
public static void GetTangents(out Vector3 inTangent, out Vector3 outTangent, IBezierPoint previousPoint,
IBezierPoint point, IBezierPoint nextPoint)
{
switch (point.tangentMode)
{
case TangentMode.Smooth:
inTangent = point.inTangent;
outTangent = point.inTangent * -1.0f;
break;
case TangentMode.Corner:
inTangent = point.inTangent;
outTangent = point.outTangent;
break;
case TangentMode.Symmetric:
GetSymmetricTangents(out inTangent, out outTangent, previousPoint, point, nextPoint);
break;
case TangentMode.Auto:
GetAutoTangents(out inTangent, out outTangent, previousPoint, point, nextPoint);
break;
default:
throw new ArgumentOutOfRangeException();
}
}
/// <summary>
/// Draws the bezier segment between pointB and pointC.
/// </summary>
/// <param name="pointA">Point a.</param>
/// <param name="pointB">Point b.</param>
/// <param name="pointC">Point c.</param>
/// <param name="pointD">Point d.</param>
public static void BezierSegmentHandle(IBezierPoint pointA, IBezierPoint pointB, IBezierPoint pointC,
IBezierPoint pointD)
{
if (Event.current.type != EventType.Repaint)
return;
BezierPath.GetSegmentPoints(ref s_BezierPoints, pointA, pointB, pointC, pointD);
HandleUtils.BeginGL(GL.LINES, HandleUtils.handleWireMaterial);
for (int index = 0; index < s_BezierPoints.Length - 1; index++)
{
GL.Vertex(s_BezierPoints[index]);
GL.Vertex(s_BezierPoints[index + 1]);
}
HandleUtils.EndGL();
}
/// <summary>
/// Draws the handle for a bezier point.
/// </summary>
/// <param name="point">Point.</param>
public static void BezierPointHandle(IBezierPoint point)
{
float pointSize = HandleUtils.GetDotSize(point.position);
point.position = Handles.FreeMoveHandle(point.position, Quaternion.identity, pointSize, Vector3.zero, Handles.DotCap);
}
