public void ProjectOn(string p1s, string p2s, string rootPoint, string unitVector, string ep1s, string ep2s)
{
var p1 = Point3D.Parse(p1s);
var p2 = Point3D.Parse(p2s);
var line = new Line3D(p1, p2);
var plane = new Plane(Point3D.Parse(rootPoint), UnitVector3D.Parse(unitVector));
var expected = new Line3D(Point3D.Parse(ep1s), Point3D.Parse(ep2s));
AssertGeometry.AreEqual(expected, line.ProjectOn(plane));
}
public void MirrorAbout(string ps, string rootPoint, string unitVector, string eps)
{
var p = Point3D.Parse(ps);
var p2 = new Plane(Point3D.Parse(rootPoint), UnitVector3D.Parse(unitVector));
var actual = p.MirrorAbout(p2);
var ep = Point3D.Parse(eps);
AssertGeometry.AreEqual(ep, actual);
}
public void DotProduct(string v1s, string v2s, double expected)
{
var uv1 = UnitVector3D.Parse(v1s);
var uv2 = UnitVector3D.Parse(v2s);
var dp = uv1.DotProduct(uv2);
Assert.AreEqual(dp, expected, 1e-9);
Assert.IsTrue(dp <= 1);
Assert.IsTrue(dp >= -1);
}
public void SubtractVector(string ps, string vs, string eps)
{
var p = Point3D.Parse(ps);
var actuals = new[]
{
p - Vector3D.Parse(vs),
p - UnitVector3D.Parse(vs)
};
var expected = Point3D.Parse(eps);
foreach (var actual in actuals)
{
Assert.AreEqual(expected, actual);
}
}
public void RotateToTest(string v1s, string v2s, string @as)
{
UnitVector3D? axis = string.IsNullOrEmpty(@as) ? (UnitVector3D?)null : UnitVector3D.Parse(@as);
UnitVector3D v1 = UnitVector3D.Parse(v1s);
UnitVector3D v2 = UnitVector3D.Parse(v2s);
CoordinateSystem actual = CoordinateSystem.RotateTo(v1, v2, axis);
Console.WriteLine(actual);
var rv = actual.Transform(v1);
AssertGeometry.AreEqual(v2, rv);
actual = CoordinateSystem.RotateTo(v2, v1, axis);
rv = actual.Transform(v2);
AssertGeometry.AreEqual(v1, rv);
}
public void InterSectionWithPlaneTest(string pl1s, string pl2s, string eps, string evs)
{
var plane1 = Plane.Parse(pl1s);
var plane2 = Plane.Parse(pl2s);
var intersections = new[]
{
plane1.IntersectionWith(plane2),
plane2.IntersectionWith(plane1)
};
foreach (var intersection in intersections)
{
AssertGeometry.AreEqual(Point3D.Parse(eps), intersection.ThroughPoint);
AssertGeometry.AreEqual(UnitVector3D.Parse(evs), intersection.Direction);
}
}
public void InterSectionWithPlane(string rootPoint1, string unitVector1, string rootPoint2, string unitVector2, string eps, string evs)
{
var plane1 = new Plane(Point3D.Parse(rootPoint1), UnitVector3D.Parse(unitVector1));
var plane2 = new Plane(Point3D.Parse(rootPoint2), UnitVector3D.Parse(unitVector2));
var intersections = new[]
{
plane1.IntersectionWith(plane2),
plane2.IntersectionWith(plane1)
};
foreach (var intersection in intersections)
{
AssertGeometry.AreEqual(Point3D.Parse(eps), intersection.ThroughPoint);
AssertGeometry.AreEqual(UnitVector3D.Parse(evs), intersection.Direction);
}
}
public void Parse(string text, double expectedX, double expectedY, double expectedZ)
{
Assert.AreEqual(true, UnitVector3D.TryParse(text, out var p));
Assert.AreEqual(expectedX, p.X);
Assert.AreEqual(expectedY, p.Y);
Assert.AreEqual(expectedZ, p.Z);
p = UnitVector3D.Parse(text);
Assert.AreEqual(expectedX, p.X);
Assert.AreEqual(expectedY, p.Y);
Assert.AreEqual(expectedZ, p.Z);
p = UnitVector3D.Parse(p.ToString());
Assert.AreEqual(expectedX, p.X);
Assert.AreEqual(expectedY, p.Y);
Assert.AreEqual(expectedZ, p.Z);
}
public void RotationAroundVector(string ps, string @as, string vs, string eps)
{
var p = Point3D.Parse(ps);
var angle = Angle.Parse(@as);
var coordinateSystems = new[]
{
CoordinateSystem.Rotation(angle, UnitVector3D.Parse(vs)),
CoordinateSystem.Rotation(angle, Vector3D.Parse(vs)),
};
var expected = Point3D.Parse(eps);
foreach (var coordinateSystem in coordinateSystems)
{
var rotatedPoint = coordinateSystem.Transform(p);
AssertGeometry.AreEqual(expected, rotatedPoint);
}
}
public void FromPlanes(string rootPoint1, string unitVector1, string rootPoint2, string unitVector2, string rootPoint3, string unitVector3, string eps)
{
var plane1 = new Plane(Point3D.Parse(rootPoint1), UnitVector3D.Parse(unitVector1));
var plane2 = new Plane(Point3D.Parse(rootPoint2), UnitVector3D.Parse(unitVector2));
var plane3 = new Plane(Point3D.Parse(rootPoint3), UnitVector3D.Parse(unitVector3));
var p1 = Point3D.IntersectionOf(plane1, plane2, plane3);
var p2 = Point3D.IntersectionOf(plane2, plane1, plane3);
var p3 = Point3D.IntersectionOf(plane2, plane3, plane1);
var p4 = Point3D.IntersectionOf(plane3, plane1, plane2);
var p5 = Point3D.IntersectionOf(plane3, plane2, plane1);
var ep = Point3D.Parse(eps);
foreach (var p in new[] { p1, p2, p3, p4, p5 })
{
AssertGeometry.AreEqual(ep, p);
}
}
public void ParseSwedishUnitVector(string text, double expectedX, double expectedY, double expectedZ)
{
var culture = CultureInfo.GetCultureInfo("sv");
Assert.AreEqual(true, UnitVector3D.TryParse(text, culture, out var p));
Assert.AreEqual(expectedX, p.X);
Assert.AreEqual(expectedY, p.Y);
Assert.AreEqual(expectedZ, p.Z);
p = UnitVector3D.Parse(text, culture);
Assert.AreEqual(expectedX, p.X);
Assert.AreEqual(expectedY, p.Y);
Assert.AreEqual(expectedZ, p.Z);
p = UnitVector3D.Parse(p.ToString(culture));
Assert.AreEqual(expectedX, p.X);
Assert.AreEqual(expectedY, p.Y);
Assert.AreEqual(expectedZ, p.Z);
}
public void PointFromPlanes(string rootPoint1, string unitVector1, string rootPoint2, string unitVector2, string rootPoint3, string unitVector3, string eps)
{
var plane1 = new Plane(Point3D.Parse(rootPoint1), UnitVector3D.Parse(unitVector1));
var plane2 = new Plane(Point3D.Parse(rootPoint2), UnitVector3D.Parse(unitVector2));
var plane3 = new Plane(Point3D.Parse(rootPoint3), UnitVector3D.Parse(unitVector3));
var points = new[]
{
Plane.PointFromPlanes(plane1, plane2, plane3),
Plane.PointFromPlanes(plane2, plane1, plane3),
Plane.PointFromPlanes(plane1, plane3, plane2),
Plane.PointFromPlanes(plane2, plane3, plane1),
Plane.PointFromPlanes(plane3, plane2, plane1),
Plane.PointFromPlanes(plane3, plane1, plane2),
};
var expected = Point3D.Parse(eps);
foreach (var point in points)
{
AssertGeometry.AreEqual(expected, point);
}
}
public void Equals(string p1s, string p2s, double tol, bool expected)
{
var v1 = UnitVector3D.Parse(p1s);
var v2 = UnitVector3D.Parse(p2s);
var vector3D = v1.ToVector3D();
Assert.AreEqual(expected, v1 == v2);
Assert.IsTrue(v1 == vector3D);
Assert.IsTrue(vector3D == v1);
Assert.AreEqual(expected, v1.Equals(v2));
Assert.IsTrue(v1.Equals(vector3D));
Assert.IsTrue(vector3D.Equals(v1));
Assert.AreEqual(expected, v1.Equals(v2.ToVector3D()));
Assert.AreEqual(expected, v2.ToVector3D().Equals(v1));
Assert.AreEqual(expected, v1.Equals((object)v2));
Assert.AreEqual(expected, Equals(v1, v2));
Assert.AreEqual(expected, v1.Equals(v2, tol));
Assert.AreNotEqual(expected, v1 != v2);
Assert.AreNotEqual(expected, v1 != v2.ToVector3D());
Assert.AreNotEqual(expected, v2.ToVector3D() != v1);
}
public void SetToRotateToTest(string vs, string vts, string axisString)
{
var v = UnitVector3D.Parse(vs);
var vt = UnitVector3D.Parse(vts);
UnitVector3D?axis = null;
if (axisString != null)
{
axis = UnitVector3D.Parse(axisString);
}
CoordinateSystem cs = CoordinateSystem.RotateTo(v, vt, axis);
var rv = cs.Transform(v);
AssertGeometry.AreEqual(vt, rv);
CoordinateSystem invert = cs.Invert();
Vector3D rotateBack = invert.Transform(rv);
AssertGeometry.AreEqual(v, rotateBack);
cs = CoordinateSystem.RotateTo(vt, v, axis);
rotateBack = cs.Transform(rv);
AssertGeometry.AreEqual(v, rotateBack);
}
public void MultiplyTest(string unitVectorAsString, double multiplier, string expected)
{
UnitVector3D unitVector3D = UnitVector3D.Parse(unitVectorAsString);
Assert.AreEqual(Vector3D.Parse(expected), multiplier * unitVector3D);
}
public void XmlRoundTrips(string rootPoint, string unitVector, string xml)
{
var plane = new Plane(Point3D.Parse(rootPoint), UnitVector3D.Parse(unitVector));
AssertXml.XmlRoundTrips(plane, xml, (e, a) => AssertGeometry.AreEqual(e, a));
}
public void XmlTests(string ps, string vs, bool asElements, string xml)
{
var ray = new Ray3D(Point3D.Parse(ps), UnitVector3D.Parse(vs));
AssertXml.XmlRoundTrips(ray, xml, (e, a) => AssertGeometry.AreEqual(e, a, 1e-6));
}
public void ParseFails(string text)
{
Assert.AreEqual(false, UnitVector3D.TryParse(text, out _));
Assert.Throws <FormatException>(() => UnitVector3D.Parse(text));
}
public UnitVector3D Parse()
{
return(UnitVector3D.Parse("1; 0; 0", CultureInfo.InvariantCulture, 2));
}
