public void NormalizingComplex()
{
var v1 = PointType.Vector(1, 2, 3);
var expected = PointType.Vector(1 / Math.Sqrt(14), 2 / Math.Sqrt(14), 3 / Math.Sqrt(14));
Assert.Equal(expected, v1.Normalize());
}
public void NormalizingSimple()
{
var v1 = PointType.Vector(4, 0, 0);
var expected = PointType.Vector(1, 0, 0);
Assert.Equal(expected, v1.Normalize());
}
public void MagnitudeNeg123()
{
var v1 = PointType.Vector(-1, -2, -3);
var expected = Math.Sqrt(14);
Assert.Equal(expected, v1.Magnetude());
}
public void MagnitudeZ1()
{
var v1 = PointType.Vector(0, 0, 1);
var expected = 1;
Assert.Equal(expected, v1.Magnetude());
}
public void DotProduct()
{
var v1 = PointType.Vector(1, 2, 3);
var v2 = PointType.Vector(2, 3, 4);
var expected = 20;
Assert.Equal(expected, PointType.DotProduct(v1, v2));
}
public void SubstractVectorFromZeroVector()
{
var v1 = PointType.Vector(0, 0, 0);
var v2 = PointType.Vector(1, -2, 3);
var v = PointType.Vector(-1, 2, -3);
var sub = v1 - v2;
Assert.Equal(v, sub);
Assert.True(sub.IsVector);
}
public void SubstractTwoVectors()
{
var v1 = PointType.Vector(3, 2, 1);
var v2 = PointType.Vector(5, 6, 7);
var v = PointType.Vector(-2, -4, -6);
var sub = v1 - v2;
Assert.Equal(v, sub);
Assert.True(sub.IsVector);
}
public void SubstractVectorFromPoint()
{
var p1 = PointType.Point(3, 2, 1);
var v2 = PointType.Vector(5, 6, 7);
var p = PointType.Point(-2, -4, -6);
var sub = p1 - v2;
Assert.Equal(p, sub);
Assert.True(sub.IsPoint);
}
public void SubstractTwoPoints()
{
var p1 = PointType.Point(3, 2, 1);
var p2 = PointType.Point(5, 6, 7);
var v = PointType.Vector(-2, -4, -6);
var sub = p1 - p2;
Assert.Equal(v, sub);
Assert.True(sub.IsVector);
}
public void CrossProduct()
{
var v1 = PointType.Vector(1, 2, 3);
var v2 = PointType.Vector(2, 3, 4);
var expected1 = PointType.Vector(-1, 2, -1);
var expected2 = PointType.Vector(1, -2, 1);
Assert.Equal(expected1, PointType.CrossProduct(v1, v2));
Assert.Equal(expected2, PointType.CrossProduct(v2, v1));
}
protected override PointType LocalNormalAt(PointType point, Intersection hit = null)
{
var dist = point.X * point.X + point.Z * point.Z;
if (dist < 1 && point.Y >= Maximum - EPSILON)
{
return(PointType.Vector(0, 1, 0));
}
if (dist < 1 && point.Y <= Minimum + EPSILON)
{
return(PointType.Vector(0, -1, 0));
}
return(PointType.Vector(point.X, 0, point.Z));
}
private void CalculatePath()
{
DrawCanvas.Children.Clear();
var proj = new obj.Projectile(
PointType.Point(0, 1, 0),
PointType.Vector(1, 1, 0).Normalize() * inc);
var env = new obj.Environment(
PointType.Vector(0, -0.1, 0),
PointType.Vector(-0.01, 0, 0));
foreach (var coord in obj.Projectile.GetTick(env, proj))
{
DrawCircle(coord.X, coord.Y);
}
}
protected override PointType LocalNormalAt(PointType point, Intersection hit = null)
{
var maxC = Max(Math.Abs(point.X), Math.Abs(point.Y), Math.Abs(point.Z));
if (maxC == Math.Abs(point.X))
{
return(PointType.Vector(point.X, 0, 0));
}
if (maxC == Math.Abs(point.Y))
{
return(PointType.Vector(0, point.Y, 0));
}
if (maxC == Math.Abs(point.Z))
{
return(PointType.Vector(0, 0, point.Z));
}
throw new Exception("No normal found");
}
protected override PointType LocalNormalAt(PointType localPoint, Intersection hit = null)
{
return(PointType.Vector(localPoint.X, localPoint.Y, localPoint.Z));
}
protected override PointType LocalNormalAt(PointType localPoint, Intersection hit = null) => PointType.Vector(0, 1, 0);