private static IEnumerable <Vector2> GetSegment(
SequentialQuad <Vector2> points,
float alpha,
int splineResolution)
{
var result = new List <Vector2>();
var t0 = 0.0f;
var t1 = GetT(t0, points[0], points[1], alpha);
var t2 = GetT(t1, points[1], points[2], alpha);
var t3 = GetT(t2, points[2], points[3], alpha);
for (var t = t1; t < t2; t += ((t2 - t1) / splineResolution))
{
Vector2 A1 = (t1 - t) / (t1 - t0) * points[0] + (t - t0) / (t1 - t0) * points[1];
Vector2 A2 = (t2 - t) / (t2 - t1) * points[1] + (t - t1) / (t2 - t1) * points[2];
Vector2 A3 = (t3 - t) / (t3 - t2) * points[2] + (t - t2) / (t3 - t2) * points[3];
Vector2 B1 = (t2 - t) / (t2 - t0) * A1 + (t - t0) / (t2 - t0) * A2;
Vector2 B2 = (t3 - t) / (t3 - t1) * A2 + (t - t1) / (t3 - t1) * A3;
Vector2 C = (t2 - t) / (t2 - t1) * B1 + (t - t1) / (t2 - t1) * B2;
result.Add(C);
}
return(result);
}
private static IEnumerable <Vector2> GetSegment(
SequentialQuad <Vector2> points,
float alpha,
int resolution)
{
var segments = points.Pairwise();
var t = new SequentialQuad <float>(0f, 0f, 0f, 0f);
var index = 0;
foreach (var segment in segments)
{
t[index + 1] = GetT(t[index], segment, alpha);
index++;
}
var center = t.Center;
foreach (var x in center.LinearSpace(resolution))
{
var a1 =
(t[1] - x) / (t[1] - t[0]) * points[0]
+ (x - t[0]) / (t[1] - t[0]) * points[1];
var a2 =
(t[2] - x) / (t[2] - t[1]) * points[1]
+ (x - t[1]) / (t[2] - t[1]) * points[2];
var a3 =
(t[3] - x) / (t[3] - t[2]) * points[2]
+ (x - t[2]) / (t[3] - t[2]) * points[3];
var b1 =
(t[2] - x) / (t[2] - t[0]) * a1
+ (x - t[0]) / (t[2] - t[0]) * a2;
var b2 =
(t[3] - x) / (t[3] - t[1]) * a2
+ (x - t[1]) / (t[3] - t[1]) * a3;
yield return
((t[2] - x) / (t[2] - t[1]) * b1
+ (x - t[1]) / (t[2] - t[1]) * b2);
}
}
public void Pair()
{
var s = new SequentialPair <int>(3, 5);
var t = new SequentialTriple <int>(2, 6, 9);
var o = new SequentialQuad <int>(6, 9, 10, 14);
}
