using System;
namespace MathTests;
[TestClass]
public class CapsuleTest
{
static readonly Capsule UprightCapsule = new( new Vector3( 0, 0, 10 ), new Vector3( 0, 0, 90 ), 10 );
///
/// Contains should be true on the axis, inside the end caps, and false
/// beyond the radius or past the cap spheres.
///
[TestMethod]
public void Contains()
{
Assert.IsTrue( UprightCapsule.Contains( new Vector3( 0, 0, 50 ) ) );
Assert.IsTrue( UprightCapsule.Contains( new Vector3( 5, 0, 50 ) ) );
Assert.IsTrue( UprightCapsule.Contains( new Vector3( 0, 0, 95 ) ) );
Assert.IsFalse( UprightCapsule.Contains( new Vector3( 20, 0, 50 ) ) );
Assert.IsFalse( UprightCapsule.Contains( new Vector3( 0, 0, 150 ) ) );
}
///
/// Bounds should fully enclose both cap spheres.
///
[TestMethod]
public void Bounds()
{
var bounds = UprightCapsule.Bounds;
Assert.IsTrue( bounds.Mins.z <= 0 );
Assert.IsTrue( bounds.Maxs.z >= 100 );
Assert.IsTrue( bounds.Mins.x <= -10 );
Assert.IsTrue( bounds.Maxs.x >= 10 );
}
///
/// The analytic volume should match cylinder + sphere for a simple capsule.
///
[TestMethod]
public void Volume()
{
// 80 tall cylinder of radius 10 plus a complete sphere of radius 10
var expected = MathF.PI * 100f * 80f + (4f / 3f) * MathF.PI * 1000f;
Assert.AreEqual( expected, UprightCapsule.Volume, expected * 0.001f );
}
///
/// Edge distance should grow as the query point moves away from the surface.
///
[TestMethod]
public void EdgeDistanceOrdering()
{
var near = UprightCapsule.GetEdgeDistance( new Vector3( 15, 0, 50 ) );
var far = UprightCapsule.GetEdgeDistance( new Vector3( 50, 0, 50 ) );
Assert.IsTrue( near < far );
}
///
/// Sampled random points must always satisfy Contains.
///
[TestMethod]
public void RandomPointInsideIsContained()
{
for ( int i = 0; i < 100; i++ )
{
var p = UprightCapsule.RandomPointInside;
Assert.IsTrue( UprightCapsule.Contains( p ), $"{p} not inside capsule" );
}
}
///
/// Capsules with identical centers and radius should be equal.
///
[TestMethod]
public void Equality()
{
var a = new Capsule( Vector3.Zero, Vector3.Up, 5 );
var b = new Capsule( Vector3.Zero, Vector3.Up, 5 );
var c = new Capsule( Vector3.Zero, Vector3.Up, 6 );
Assert.IsTrue( a == b );
Assert.IsTrue( a != c );
}
}