using NUnit.Framework; using FluentAssertions; using MoonTools.Curve; using System; using System.Numerics; namespace Tests { public class QuadraticBezierCurve3DMathTests { [Test] public void Point() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); QuadraticBezierCurve3D.Point(p0, p1, p2, 0).Should().BeEquivalentTo(p0); QuadraticBezierCurve3D.Point(p0, p1, p2, 0.25f).Should().BeEquivalentTo(new Vector3(-1.25f, -3.5f, -0.5625f)); QuadraticBezierCurve3D.Point(p0, p1, p2, 0.75f).Should().BeEquivalentTo(new Vector3(2.75f, 0.5f, 0.9375f)); QuadraticBezierCurve3D.Point(p0, p1, p2, 1).Should().BeEquivalentTo(p2); Action invalidTime = () => QuadraticBezierCurve3D.Point(p0, p1, p2, 1.5f); invalidTime.Should().Throw(); } [Test] public void PointNormalized() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); QuadraticBezierCurve3D.Point(p0, p1, p2, 15, 15, 17).Should().BeEquivalentTo(p0); QuadraticBezierCurve3D.Point(p0, p1, p2, 2, 1, 5).Should().BeEquivalentTo(new Vector3(-1.25f, -3.5f, -0.5625f)); QuadraticBezierCurve3D.Point(p0, p1, p2, 8, 2, 10).Should().BeEquivalentTo(new Vector3(2.75f, 0.5f, 0.9375f)); QuadraticBezierCurve3D.Point(p0, p1, p2, 1, -8, 1).Should().BeEquivalentTo(p2); Action invalidTime = () => QuadraticBezierCurve3D.Point(p0, p1, p2, 15, 2, 5); invalidTime.Should().Throw(); } [Test] public void Velocity() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); QuadraticBezierCurve3D.Velocity(p0, p1, p2, 0.25f).Should().BeEquivalentTo(new Vector3(10f, 3.9999998f, 7.5f)); QuadraticBezierCurve3D.Velocity(p0, p1, p2, 0.75f).Should().BeEquivalentTo(new Vector3(6, 12, -1.5f)); Action invalidTime = () => QuadraticBezierCurve3D.Velocity(p0, p1, p2, 1.5f); invalidTime.Should().Throw(); } [Test] public void VelocityNormalized() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); QuadraticBezierCurve3D.Velocity(p0, p1, p2, 2, 1, 5).Should().BeEquivalentTo(new Vector3(10f, 3.9999998f, 7.5f)); QuadraticBezierCurve3D.Velocity(p0, p1, p2, 8, 2, 10).Should().BeEquivalentTo(new Vector3(6, 12, -1.5f)); Action invalidTime = () => QuadraticBezierCurve3D.Velocity(p0, p1, p1, 15, 2, 5); invalidTime.Should().Throw(); } } public class QuadraticBezierCurve3DStructTests { [Test] public void Point() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); var myCurve = new QuadraticBezierCurve3D(p0, p1, p2); myCurve.Point(0).Should().BeEquivalentTo(p0); myCurve.Point(0.25f).Should().BeEquivalentTo(new Vector3(-1.25f, -3.5f, -0.5625f)); myCurve.Point(0.75f).Should().BeEquivalentTo(new Vector3(2.75f, 0.5f, 0.9375f)); myCurve.Point(1).Should().BeEquivalentTo(p2); myCurve.Invoking(x => x.Point(1.5f)).Should().Throw(); } [Test] public void PointNormalized() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); var myCurve = new QuadraticBezierCurve3D(p0, p1, p2); myCurve.Point(15, 15, 17).Should().BeEquivalentTo(p0); myCurve.Point(2, 1, 5).Should().BeEquivalentTo(new Vector3(-1.25f, -3.5f, -0.5625f)); myCurve.Point(8, 2, 10).Should().BeEquivalentTo(new Vector3(2.75f, 0.5f, 0.9375f)); myCurve.Point(1, -8, 1).Should().BeEquivalentTo(p2); myCurve.Invoking(x => x.Point(15, 2, 5)).Should().Throw(); } [Test] public void Velocity() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); var myCurve = new QuadraticBezierCurve3D(p0, p1, p2); myCurve.Velocity(0.25f).Should().BeEquivalentTo(new Vector3(10f, 3.9999998f, 7.5f)); myCurve.Velocity(0.75f).Should().BeEquivalentTo(new Vector3(6, 12, -1.5f)); myCurve.Invoking(x => x.Velocity(1.5f)).Should().Throw(); } [Test] public void VelocityNormalized() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); var myCurve = new QuadraticBezierCurve3D(p0, p1, p2); myCurve.Velocity(2, 1, 5).Should().BeEquivalentTo(new Vector3(10f, 3.9999998f, 7.5f)); myCurve.Velocity(8, 2, 10).Should().BeEquivalentTo(new Vector3(6, 12, -1.5f)); myCurve.Invoking(x => x.Velocity(15, 2, 5)).Should().Throw(); } [Test] public void AsCubic() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); var myCurve = new QuadraticBezierCurve3D(p0, p1, p2); var myCubicCurve = myCurve.AsCubic(); myCurve.Point(0f).Should().BeEquivalentTo(myCubicCurve.Point(0f)); myCurve.Point(0.25f).Should().BeEquivalentTo(myCubicCurve.Point(0.25f)); myCurve.Point(0.75f).Should().BeEquivalentTo(myCubicCurve.Point(0.75f)); myCurve.Point(1f).Should().BeEquivalentTo(myCubicCurve.Point(1f)); } [Test] public void Equals() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); var myCurve = new QuadraticBezierCurve3D(p0, p1, p2); var otherCurve = new QuadraticBezierCurve3D(p0, p1, p2); (myCurve == otherCurve).Should().BeTrue(); } [Test] public void NotEquals() { var p0 = new Vector3(-4, -4, -3); var p1 = new Vector3(2, -4, 3); var p2 = new Vector3(4, 4, 0); var myCurve = new QuadraticBezierCurve3D(p0, p1, p2); var otherCurve = new QuadraticBezierCurve3D(new Vector3(0, -4, -3), p1, p2); (myCurve != otherCurve).Should().BeTrue(); } } }