public static void TestUnwrappedMeshAreas()
{
var mesh = Unwrapper.MakeUnwrappedMeshBFS(MeshUnwrapper.Common.Icosahedron.Points, MeshUnwrapper.Common.Icosahedron.Triangles);
HashSet <int> usedTris = new HashSet <int>();
int N = 0;
foreach (var tri in mesh.Triangles)
{
var p0 = mesh.Vertices[tri.p0];
var p1 = mesh.Vertices[tri.p1];
var p2 = mesh.Vertices[tri.p2];
var e0 = p1 - p0;
var e1 = p2 - p0;
var A0 = Vec3HighPrecision.Cross(e0, e1).Length / 2.0;
bool match = false;
for (int i = 0; i < MeshUnwrapper.Common.Icosahedron.Triangles.Length; i++)
{
if (usedTris.Contains(i))
{
continue;
}
var tri0 = MeshUnwrapper.Common.Icosahedron.Triangles[i];
var q0 = MeshUnwrapper.Common.Icosahedron.Points[tri0.p0];
var q1 = MeshUnwrapper.Common.Icosahedron.Points[tri0.p1];
var q2 = MeshUnwrapper.Common.Icosahedron.Points[tri0.p2];
var f0 = q1 - q0;
var f1 = q2 - q0;
var A1 = Vec3HighPrecision.Cross(f0, f1).Length / 2.0;
var err = Math.Abs(A0 - A1);
if (err < 0.001)
{
usedTris.Add(i);
match = true;
break;
}
}
Assert.True(match, "Area of triangles is distorted, N=" + N + ", A0=" + A0);
N++;
}
}
public static void TestUnwrappedMeshInXZPlane()
{
var mesh = Unwrapper.MakeUnwrappedMeshBFS(MeshUnwrapper.Common.Icosahedron.Points, MeshUnwrapper.Common.Icosahedron.Triangles);
Assert.AreEqual(MeshUnwrapper.Common.Icosahedron.Triangles.Length, mesh.Triangles.Count, "Triangle counts don't match!");
int N = 0;
foreach (var tri in mesh.Triangles)
{
var p0 = mesh.Vertices[tri.p0];
var p1 = mesh.Vertices[tri.p1];
var p2 = mesh.Vertices[tri.p2];
var e0 = p1 - p0;
var e1 = p2 - p0;
var n = Vec3HighPrecision.Cross(e0, e1).Normalized;
Assert.That(n.Y, Is.EqualTo(1.0).Within(0.01), string.Format("Normal {0} of tri #{1} ({2}-{3}-{4}) not facing up.", n, N, p0, p1, p2));
N++;
}
}
public void TestAngleAxis()
{
Assert.AreEqual(
new Vec3HighPrecision(0, 0, 1),
(new Vec4(0, 0, -1, 0) * Mat4HighPrecision.AngleAxisRot(new Vec3HighPrecision(0, 1, 0), -1.0, 0.0)).ToVec3() // PI = -1
);
Vec3HighPrecision.AssertAreEqual(
new Vec3HighPrecision(-1, 0, 0),
(new Vec4(0, 0, -1, 0) * Mat4HighPrecision.AngleAxisRot(new Vec3HighPrecision(0, 1, 0), 0.0, 1.0)).ToVec3(), // PI/2 = 0
"Rotation by 90 degrees along Y axis failed");
Vec3HighPrecision.AssertAreEqual(
new Vec3HighPrecision(1, 0, 0),
(new Vec4(0, 0, -1, 0) * Mat4HighPrecision.AngleAxisRot(new Vec3HighPrecision(0, 1, 0), 0.0, -1.0)).ToVec3(), // -PI/2 = 0
"Rotation by -90 degrees along Y axis failed");
Vec3HighPrecision.AssertAreEqual(
new Vec3HighPrecision(0, -1, 0),
(new Vec4(0, 0, -1, 0) * Mat4HighPrecision.AngleAxisRot(new Vec3HighPrecision(1, 0, 0), 0.0, -1.0)).ToVec3(), // -PI/2 = 0
"Rotation by 90 degrees along X axis failed");
var rnd = new System.Random();
for (int i = 0; i < 100; i++)
{
var k = (new Vec3HighPrecision(rnd.NextDouble(), rnd.NextDouble(), rnd.NextDouble()) -
new Vec3HighPrecision(0.5, 0.5, 0.5)) * 100.0;
var v = (new Vec3HighPrecision(rnd.NextDouble(), rnd.NextDouble(), rnd.NextDouble()) -
new Vec3HighPrecision(0.5, 0.5, 0.5)) * 100.0;
var a = rnd.NextDouble() * Math.PI * 2.0 - Math.PI;
var vr = (new Vec4(v, 1.0) * Mat4HighPrecision.AngleAxisRot(k.Normalized, Math.Cos(a), Math.Sin(a))).ToVec3();
var vproj = k.Normalized * Vec3HighPrecision.Dot(v, k.Normalized);
var ang = Math.Acos(Vec3HighPrecision.Dot((vproj - v).Normalized, (vproj - vr).Normalized));
Assert.That(Math.Abs(a), Is.EqualTo(ang).Within(0.00001), "Random rotation around random axis failed.");
}
}