/// <summary>
/// Computes a triangle list that fully covers the area enclosed by the given set of points. If points are not CCW, pass false for
/// the arePointsCCW parameter
/// </summary>
/// <param name="points">A list of points that defines an enclosing path.</param>
/// <param name="count">The number of points in the path.</param>
public void Triangulate(Vector2[] points, bool arePointsCCW = true)
{
var count = points.Length;
// set up previous and next links to effectively from a double-linked vert list
Initialize(count);
// loop breaker for polys that are not triangulatable
var iterations = 0;
// start at vert 0
var index = 0;
// keep removing verts until just a triangle is left
while (count > 3 && iterations < 500)
{
iterations++;
// test if current vert is an ear
var isEar = true;
var a = points[_triPrev[index]];
var b = points[index];
var c = points[_triNext[index]];
// an ear must be convex (here counterclockwise)
if (Vector2Ext.IsTriangleCCW(a, b, c))
{
// loop over all verts not part of the tentative ear
var k = _triNext[_triNext[index]];
do
{
// if vert k is inside the ear triangle, then this is not an ear
if (TestPointTriangle(points[k], a, b, c))
{
isEar = false;
break;
}
k = _triNext[k];
} while (k != _triPrev[index]);
}
else
{
// the ear triangle is clockwise so points[i] is not an ear
isEar = false;
}
// if current vert is an ear, delete it and visit the previous vert
if (isEar)
{
// triangle is an ear
TriangleIndices.Add(_triPrev[index]);
TriangleIndices.Add(index);
TriangleIndices.Add(_triNext[index]);
// delete vert by redirecting next and previous links of neighboring verts past it
// decrement vertext count
_triNext[_triPrev[index]] = _triNext[index];
_triPrev[_triNext[index]] = _triPrev[index];
count--;
// visit the previous vert next
index = _triPrev[index];
}
else
{
// current vert is not an ear. visit the next vert
index = _triNext[index];
}
}
// output the final triangle
TriangleIndices.Add(_triPrev[index]);
TriangleIndices.Add(index);
TriangleIndices.Add(_triNext[index]);
if (!arePointsCCW)
{
TriangleIndices.Reverse();
}
}
void CalculateVertices()
{
if (!_areVertsDirty || _points.Length < 2)
{
return;
}
_areVertsDirty = false;
_indices.Reset();
_vertices.Reset();
var maxX = float.MinValue;
var minX = float.MaxValue;
var maxY = float.MinValue;
var minY = float.MaxValue;
if (_useStartEndWidths)
{
_maxWidth = System.Math.Max(_startWidth, _endWidth);
}
// calculate line length first and simulataneously get our min/max points for the bounds
var lineLength = 0f;
var halfMaxWidth = _maxWidth * 0.5f;
_points.Buffer[0].LengthFromPreviousPoint = 0;
for (var i = 0; i < _points.Length - 1; i++)
{
var distance = Vector2.Distance(_points.Buffer[i].Position, _points.Buffer[i + 1].Position);
_points.Buffer[i + 1].LengthFromPreviousPoint = distance;
lineLength += distance;
maxX = Mathf.MaxOf(maxX, _points.Buffer[i].Position.X + halfMaxWidth,
_points.Buffer[i + 1].Position.X + halfMaxWidth);
minX = Mathf.MinOf(minX, _points.Buffer[i].Position.X - halfMaxWidth,
_points.Buffer[i + 1].Position.X - halfMaxWidth);
maxY = Mathf.MaxOf(maxY, _points.Buffer[i].Position.Y + halfMaxWidth,
_points.Buffer[i + 1].Position.Y + halfMaxWidth);
minY = Mathf.MinOf(minY, _points.Buffer[i].Position.Y - halfMaxWidth,
_points.Buffer[i + 1].Position.Y - halfMaxWidth);
}
_bounds.X = minX;
_bounds.Y = minY;
_bounds.Width = maxX - minX;
_bounds.Height = maxY - minY;
// special case: single segment
if (_points.Length == 2)
{
if (_useStartEndWidths)
{
_points.Buffer[0].Width = _startWidth;
_points.Buffer[1].Width = _endWidth;
}
if (_useStartEndColors)
{
_points.Buffer[0].Color = _startColor;
_points.Buffer[1].Color = _endColor;
}
_firstSegment.SetPoints(ref _points.Buffer[0], ref _points.Buffer[1]);
AddSingleSegmentLine(ref _firstSegment, _points.Buffer[1].Color);
return;
}
var distanceSoFar = 0f;
var fusedPoint = Vector2.Zero;
var vertIndex = 0;
var thirdPoint = new SegmentPoint();
for (var i = 0; i < _points.Length - 1; i++)
{
var firstPoint = _points.Buffer[i];
var secondPoint = _points.Buffer[i + 1];
var hasThirdPoint = _points.Length > i + 2;
if (hasThirdPoint)
{
thirdPoint = _points.Buffer[i + 2];
}
// we need the distance along the line of both the first and second points. distanceSoFar will always be for the furthest point
// which is the previous point before adding the current segment distance.
var firstPointDistance = distanceSoFar;
distanceSoFar += secondPoint.LengthFromPreviousPoint;
var firstPointRatio = firstPointDistance / lineLength;
var secondPointRatio = distanceSoFar / lineLength;
var thirdPointRatio = 0f;
if (hasThirdPoint)
{
thirdPointRatio = (distanceSoFar + thirdPoint.LengthFromPreviousPoint) / lineLength;
}
if (_useStartEndColors)
{
ColorExt.Lerp(ref _startColor, ref _endColor, out firstPoint.Color, firstPointRatio);
ColorExt.Lerp(ref _startColor, ref _endColor, out secondPoint.Color, secondPointRatio);
if (hasThirdPoint)
{
ColorExt.Lerp(ref _startColor, ref _endColor, out thirdPoint.Color, thirdPointRatio);
}
}
if (_useStartEndWidths)
{
firstPoint.Width = Mathf.Lerp(_startWidth, _endWidth, firstPointRatio);
secondPoint.Width = Mathf.Lerp(_startWidth, _endWidth, secondPointRatio);
if (hasThirdPoint)
{
thirdPoint.Width = Mathf.Lerp(_startWidth, _endWidth, thirdPointRatio);
}
}
if (i == 0)
{
_firstSegment.SetPoints(ref firstPoint, ref secondPoint);
_secondSegment.SetPoints(ref secondPoint, ref thirdPoint);
}
else
{
Utils.Swap(ref _firstSegment, ref _secondSegment);
if (hasThirdPoint)
{
_secondSegment.SetPoints(ref secondPoint, ref thirdPoint);
}
}
// dont recalculate the fusedPoint for the last segment since there will be no third point to work with
if (hasThirdPoint)
{
var shouldFuseBottom =
Vector2Ext.IsTriangleCCW(firstPoint.Position, secondPoint.Position, thirdPoint.Position);
_secondSegment.SetFusedData(shouldFuseBottom, ref _firstSegment);
}
// special care needs to be take with the first segment since it has a different vert count
if (i == 0)
{
AddFirstSegment(ref _firstSegment, ref _secondSegment, ref vertIndex);
}
else
{
AddSegment(ref _firstSegment, ref vertIndex);
}
_lastSegment.CloneFrom(ref _firstSegment);
}
}