public void TestSShape()
{
// data from actual bogus case:
var tangentStart = new Vector3(1, 0, 0); // fromString3("AACAvw== AAAAgA== AAAAgA==");
var tangentEnd = new Vector3(1, 0, 0); // fromString3("AACAPw== AAAAgA== AAAAgA==");
var start = new Vector3(0, 0, 2); // fromString3("AMAuRA== AAAAAA== VVXtQg==") - new Vector3(699,0,116.6667f);
var end = new Vector3(0, 0, -2); // fromString3("AMAuRA== AAAAAA== VVXlQg==") - new Vector3(699, 0, 116.6667f);
var a = new BiArcLoftPath(start, tangentStart, end, tangentEnd);
var p1 = a.GetTransformedPoint(a.Length / 4, Vector3.zero);
var p2 = a.GetTransformedPoint(a.Length / 2, Vector3.zero);
var p3 = a.GetTransformedPoint(a.Length / 4 * 3, Vector3.zero);
var points = string.Join(" ", Enumerable.Range(0, 100).Select(i => i / 100.0f).Select(i => a.GetTransformedPoint(i * a.Length, Vector3.zero))
.Select(t => "(" + t.x.ToString(CultureInfo.InvariantCulture) + "," + t.z.ToString(CultureInfo.InvariantCulture) + ")"));
Assert.AreEqual(new Vector3(-1, 0, 1).Round(precision), p1.Round(precision));
Assert.AreEqual(new Vector3(0, 0, 0).Round(precision), p2.Round(precision));
Assert.AreEqual(new Vector3(1, 0, -1).Round(precision), p3.Round(precision));
}
public void TestReverseCShape()
{
// data from actual bogus case:
var tangentStart = new Vector3(1, 0, 0);
var tangentEnd = new Vector3(-1, 0, 0);
var start = new Vector3(0, 0, 2);
var end = new Vector3(0, 0, -2);
var a = new BiArcLoftPath(start, tangentStart, end, tangentEnd);
var p1 = a.GetTransformedPoint(a.Length / 4, Vector3.zero);
var p2 = a.GetTransformedPoint(a.Length / 2, Vector3.zero);
var p3 = a.GetTransformedPoint(a.Length / 4 * 3, Vector3.zero);
var points = string.Join(" ", Enumerable.Range(0, 100).Select(i => i / 100.0f).Select(i => a.GetTransformedPoint(i * a.Length, Vector3.zero))
.Select(t => "(" + t.x.ToString(CultureInfo.InvariantCulture) + "," + t.z.ToString(CultureInfo.InvariantCulture) + ")"));
var s2 = Mathf.Sqrt(2);
Assert.AreEqual(new Vector3(-s2, 0, s2).Round(precision), p1.Round(precision));
Assert.AreEqual(new Vector3(-2, 0, 0).Round(precision), p2.Round(precision));
Assert.AreEqual(new Vector3(-s2, 0, -s2).Round(precision), p3.Round(precision));
}
public void TestJShape()
{
var tangentStart = new Vector3(0, 0, 1);
var tangentEnd = new Vector3(1, 0, 0);
var start = new Vector3(0, 0, 2);
var end = new Vector3(-1, 0, 0);
var a = new BiArcLoftPath(start, tangentStart, end, tangentEnd);
var points = string.Join(" ", Enumerable.Range(0, 100).Select(i => i / 100.0f).Select(i => a.GetTransformedPoint(i * a.Length, Vector3.zero))
.Select(t => "(" + t.x.ToString(CultureInfo.InvariantCulture) + "," + t.z.ToString(CultureInfo.InvariantCulture) + ")"));
}
public void TestBiArc()
{
var biArc = new BiArcLoftPath(new Vector3(-1, 0, -1), new Vector3(0, 0, -1), new Vector3(1, 0, 1), new Vector3(0, 0, -1));
var points = string.Join(" ", Enumerable.Range(0, 100).Select(i => i / 100.0f).Select(i => biArc.GetTransformedPoint(i * biArc.Length, Vector3.zero))
.Select(t => "(" + t.x.ToString(CultureInfo.InvariantCulture) + "," + t.z.ToString(CultureInfo.InvariantCulture) + ")"));
var point1 = new Vector3(-1, 0, 0);
var point2 = new Vector3(1, 0, 0);
biArc.SnapTo(point1, out var snapped1, out float distance1);
biArc.SnapTo(point2, out var snapped2, out float distance2);
var sqrt2inv = 0.70710678818f;
//var inc = biArc.Length / 100;
//var items = new StringBuilder();
//for (float i = 0; i <= biArc.Length; i += inc)
//{
// var v = biArc.GetTransform(i).MultiplyPoint3x4(Vector3.zero);
// items.AppendLine($"{v.x.ToString(CultureInfo.InvariantCulture)}, {v.z.ToString(CultureInfo.InvariantCulture)}");
//}
var pointExpected1 = new Vector3(-sqrt2inv, 0, sqrt2inv - 1);
Assert.AreEqual(pointExpected1.Round(0.0001f), snapped1.Round(0.0001f));
var pointExpected2 = new Vector3(sqrt2inv, 0, 1 - sqrt2inv);
Assert.AreEqual(pointExpected2.Round(0.0001f), snapped2.Round(0.0001f));
}