/// <summary>
/// Returns the Quaternion to apply to p0 to get it to face p1.
/// Determined by correcting the (p0 -> p1) segment's pitch first, then yaw.
/// The roll of the segment will drift naturally over time.
///
/// Also see CalculateCanvasAlignmentRotation, which adds a Roll rotation for
/// rolling the segment to align itself with a canvas when such an alignment is possible on the Roll axis.
/// </summary>
public static Quaternion CalculateRotation(StrokePoint p0, StrokePoint p1)
{
StrokePoint point = p0;
StrokePoint nextPoint = p1;
Vector3 T = point.rotation * Vector3.forward;
Vector3 N = point.rotation * Vector3.up;
Vector3 segmentDirection = (nextPoint.position - point.position).normalized;
// Pitch correction
Vector3 sD_TN = (Vector3.Dot(T, segmentDirection) * T + Vector3.Dot(N, segmentDirection) * N).normalized;
Vector3 T_x_sD_TN = Vector3.Cross(T, sD_TN);
float T_x_sD_TN_magnitude = Mathf.Clamp(T_x_sD_TN.magnitude, 0F, 1F); // Fun fact! Sometimes the magnitude of this vector is 0.000002 larger than 1F, which causes NaNs from Mathf.Asin().
Quaternion pitchCorrection;
if (Vector3.Dot(T, sD_TN) >= 0F)
{
pitchCorrection = Quaternion.AngleAxis(Mathf.Asin(T_x_sD_TN_magnitude) * Mathf.Rad2Deg, T_x_sD_TN.normalized);
}
else
{
pitchCorrection = Quaternion.AngleAxis(180F - (Mathf.Asin(T_x_sD_TN_magnitude) * Mathf.Rad2Deg), T_x_sD_TN.normalized);
}
// Yaw correction
Vector3 T_pC = pitchCorrection * T;
Vector3 T_pC_x_sD = Vector3.Cross(T_pC, segmentDirection);
Quaternion yawCorrection = Quaternion.AngleAxis(Mathf.Asin(T_pC_x_sD.magnitude) * Mathf.Rad2Deg, T_pC_x_sD.normalized);
return(pitchCorrection * yawCorrection);
}
/// <summary>
/// Returns the Quaternion to apply to p0 to get it to face p1,
/// then an additional rotation to align it to a plane when the stroke segment's normal (rotation * Vector3.up)
/// is close to the planeNormal.
///
/// Also provides output parameters for getting the pitch+yaw and roll rotations independently, but beware:
/// The rollOnly rotation only works when applied on top of the pitchYaw rotation.
/// </summary>
public static Quaternion CalculateCanvasAlignmentRotation(StrokePoint p0, StrokePoint p1, Vector3 planeNormal, out Quaternion pitchYawOnly, out Quaternion rollOnly)
{
StrokePoint point = p0;
StrokePoint nextPoint = p1;
Vector3 T = point.rotation * Vector3.forward;
Vector3 N = point.rotation * Vector3.up;
Vector3 segmentDirection = (nextPoint.position - point.position).normalized;
// Pitch correction
Vector3 sD_TN = (Vector3.Dot(T, segmentDirection) * T + Vector3.Dot(N, segmentDirection) * N).normalized;
Vector3 T_x_sD_TN = Vector3.Cross(T, sD_TN);
float T_x_sD_TN_magnitude = Mathf.Clamp(T_x_sD_TN.magnitude, 0F, 1F); // Fun fact! Sometimes the magnitude of this vector is 0.000002 larger than 1F, which causes NaNs from Mathf.Asin().
Quaternion pitchCorrection;
if (Vector3.Dot(T, sD_TN) >= 0F)
{
pitchCorrection = Quaternion.AngleAxis(Mathf.Asin(T_x_sD_TN_magnitude) * Mathf.Rad2Deg, T_x_sD_TN.normalized);
}
else
{
pitchCorrection = Quaternion.AngleAxis(180F - (Mathf.Asin(T_x_sD_TN_magnitude) * Mathf.Rad2Deg), T_x_sD_TN.normalized);
}
// Yaw correction
Vector3 T_pC = pitchCorrection * T;
Vector3 T_pC_x_sD = Vector3.Cross(T_pC, segmentDirection);
Quaternion yawCorrection = Quaternion.AngleAxis(Mathf.Asin(T_pC_x_sD.magnitude) * Mathf.Rad2Deg, T_pC_x_sD.normalized);
// Roll correction (align to canvas)
T = pitchCorrection * yawCorrection * T;
N = pitchCorrection * yawCorrection * N;
Vector3 planeUp = planeNormal;
Vector3 planeDown = -planeNormal;
Vector3 canvasDirection;
if (Vector3.Dot(N, planeUp) >= 0F)
{
canvasDirection = planeUp;
}
else
{
canvasDirection = planeDown;
}
Vector3 B = Vector3.Cross(T, N).normalized; // binormal
Vector3 canvasCastNB = (Vector3.Dot(N, canvasDirection) * N + Vector3.Dot(B, canvasDirection) * B);
Vector3 N_x_canvasNB = Vector3.Cross(N, canvasCastNB.normalized);
float N_x_canvasNB_magnitude = Mathf.Clamp(N_x_canvasNB.magnitude, 0F, 1F); // Fun fact! Sometimes the magnitude of this vector is 0.000002 larger than 1F, which causes NaNs from Mathf.Asin().
Quaternion rollCorrection = Quaternion.AngleAxis(
DeadzoneDampenFilter(canvasCastNB.magnitude) * Mathf.Asin(N_x_canvasNB_magnitude) * Mathf.Rad2Deg,
N_x_canvasNB.normalized);
pitchYawOnly = pitchCorrection * yawCorrection;
rollOnly = rollCorrection;
return(pitchYawOnly * rollOnly);
}
public void AddPoint(StrokePoint strokePoint)
{
SegmentNode node = new SegmentNode(strokePoint, this);
_segmentNodes.Add(node);
if (_segmentNodes.Count > 1)
{
node.prevNode = _segmentNodes[_segmentNodes.Count - 2];
node.prevNode.nextNode = node;
AddMeshSegment(node.prevNode, node);
}
}
public virtual StrokePoint StrokePointFromCurrentState()
{
StrokePoint strokePoint = new StrokePoint();
strokePoint.position = brushTip.position;
strokePoint.rotation = brushTip.rotation;
strokePoint.scale = Vector3.Scale((brushTip.localScale * 0.01F), scalingVector);
strokePoint.deltaTime = Time.time - _curStroke.timeCreated;
strokePoint.color = Color.white;
strokePoint.pressure = 1F;
return(strokePoint);
}
public void Begin()
{
_isBrushing = true;
_curStroke = new Stroke();
_lastStrokePoint = StrokePointFromCurrentState();
_curStrokeObj = Instantiate <GameObject>(strokeRendererPrefab.gameObject, outputParent);
_curStrokeObj.name = "Brush " + this.name + " Stroke " + (++_curStrokeObjIdx);
//var curStrokeRenderer = _curStrokeObj.GetComponent<StrokeRendererBase>();
_curStrokeFilter = _curStrokeObj.GetComponent <StrokeFilter>();
if (_curStrokeFilter == null)
{
_curStrokeFilter = _curStrokeObj.AddComponent <StrokeFilter>();
}
_curStrokeFilter.stroke = _curStroke;
AddStrokePoint(_lastStrokePoint);
}
public void Add(StrokePoint strokePoint)
{
strokePoints.Add(strokePoint);
OnStrokeModified(this, StrokeModificationHint.AddedPoint());
if (autoOrient && Count > 1)
{
StrokePoint p0 = strokePoints[Count - 2];
StrokePoint p1 = strokePoints[Count - 1];
Quaternion rotCorrection = StrokeUtil.CalculateRotation(p0, p1);
p0.rotation = rotCorrection * p0.rotation;
p1.rotation = p0.rotation;
_cachedModifiedPointIndices.Clear();
_cachedModifiedPointIndices.Add(Count - 2);
_cachedModifiedPointIndices.Add(Count - 1);
OnStrokeModified(this, StrokeModificationHint.ModifiedPoints(_cachedModifiedPointIndices));
}
}
public void OnDrawRuntimeGizmos(RuntimeGizmoDrawer drawer)
{
if (stroke == null)
{
return;
}
bool colorSet = false;
IEnumerator <StrokePoint> pointsEnum = stroke.GetPointsEnumerator();
for (; pointsEnum.MoveNext();)
{
StrokePoint point = pointsEnum.Current;
if (!colorSet)
{
drawer.color = point.color;
}
drawer.DrawSphere(point.position, 0.01F * point.pressure);
}
}
private void AddStrokePoint(StrokePoint s)
{
_curStroke.Add(s);
_lastStrokePoint = s;
}
public void End()
{
_isBrushing = false;
_lastStrokePoint = null;
}
public SegmentNode(StrokePoint point, SegmentRenderer renderer)
{
this.renderer = renderer;
this.strokePoint = point;
}