MoonTools.Curve/Test/QuadraticBezierCurve3D.cs

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2019-10-29 01:48:36 +00:00
using NUnit.Framework;
using FluentAssertions;
using MoonTools.Core.Curve;
using System;
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using System.Numerics;
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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<ArgumentException>();
}
[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<ArgumentException>();
}
[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<ArgumentException>();
}
[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<ArgumentException>();
}
}
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<ArgumentException>();
}
[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<ArgumentException>();
}
[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<ArgumentException>();
}
[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<ArgumentException>();
}
[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));
}
}
}