public void Update(ITimer timer)
{
float t = timer == null ? 0.0f : (float)timer.TotalSeconds;
this.worldMatrix = XMMatrix.RotationY(t);
this.meshColor = new XMVector(
(XMScalar.Sin(t * 1.0f) + 1.0f) * 0.5f,
(XMScalar.Cos(t * 3.0f) + 1.0f) * 0.5f,
(XMScalar.Sin(t * 5.0f) + 1.0f) * 0.5f,
1.0f);
}
public static bool SolveCubic(float e, float f, float g, out float t, out float u, out float v)
{
float p, q, h, rc, d, theta, costh3, sinth3;
p = f - (e * e / 3.0f);
q = g - (e * f / 3.0f) + (e * e * e * 2.0f / 27.0f);
h = (q * q / 4.0f) + (p * p * p / 27.0f);
if (h > 0.0f)
{
t = u = v = 0.0f;
return(false); // only one real root
}
// all the same root
if ((h == 0.0f) && (q == 0.0f))
{
t = -e / 3;
u = -e / 3;
v = -e / 3;
return(true);
}
d = (float)Math.Sqrt((q * q / 4.0f) - h);
if (d < 0)
{
rc = (float)-Math.Pow(-d, 1.0f / 3.0f);
}
else
{
rc = (float)Math.Pow(d, 1.0f / 3.0f);
}
theta = XMScalar.ACos(-q / (2.0f * d));
costh3 = XMScalar.Cos(theta / 3.0f);
sinth3 = (float)Math.Sqrt(3.0f) * XMScalar.Sin(theta / 3.0f);
t = (2.0f * rc * costh3) - (e / 3.0f);
u = (-rc * (costh3 + sinth3)) - (e / 3.0f);
v = (-rc * (costh3 - sinth3)) - (e / 3.0f);
return(true);
}
private void Animate(double fTime)
{
float t = (float)(fTime * 0.2);
float camera0OriginX = this.cameraOrigins[0].X;
float camera1OriginX = this.cameraOrigins[1].X;
float camera2OriginX = this.cameraOrigins[2].X;
float camera3OriginX = this.cameraOrigins[3].X;
float camera3OriginZ = this.cameraOrigins[3].Z;
// animate sphere 0 around the frustum
{
BoundingSphere sphere = this.secondarySpheres[0].Sphere;
sphere.Center = new XMFloat3
{
X = 10 * XMScalar.Sin(3 * t),
Y = 7 * XMScalar.Cos(5 * t),
Z = sphere.Center.Z
};
this.secondarySpheres[0].Sphere = sphere;
}
// animate oriented box 0 around the frustum
{
BoundingOrientedBox box = this.secondaryOrientedBoxes[0].Box;
box.Center = new XMFloat3
{
X = 8 * XMScalar.Sin(3.5f * t),
Y = 5 * XMScalar.Cos(5.1f * t),
Z = box.Center.Z
};
box.Orientation = XMQuaternion.RotationRollPitchYaw(t * 1.4f, t * 0.2f, t);
this.secondaryOrientedBoxes[0].Box = box;
}
// animate aligned box 0 around the frustum
{
BoundingBox box = this.secondaryAABoxes[0].Box;
box.Center = new XMFloat3
{
X = 10 * XMScalar.Sin(2.1f * t),
Y = 7 * XMScalar.Cos(3.8f * t),
Z = box.Center.Z
};
this.secondaryAABoxes[0].Box = box;
}
// animate sphere 1 around the aligned box
{
BoundingSphere sphere = this.secondarySpheres[1].Sphere;
sphere.Center = new XMFloat3
{
X = 8 * XMScalar.Sin(2.9f * t) + camera1OriginX,
Y = 8 * XMScalar.Cos(4.6f * t),
Z = 8 * XMScalar.Cos(1.6f * t)
};
this.secondarySpheres[1].Sphere = sphere;
}
// animate oriented box 1 around the aligned box
{
BoundingOrientedBox box = this.secondaryOrientedBoxes[1].Box;
box.Center = new XMFloat3
{
X = 8 * XMScalar.Sin(3.2f * t) + camera1OriginX,
Y = 8 * XMScalar.Cos(2.1f * t),
Z = 8 * XMScalar.Sin(1.6f * t)
};
box.Orientation = XMQuaternion.RotationRollPitchYaw(t * 0.7f, t * 1.3f, t);
this.secondaryOrientedBoxes[1].Box = box;
}
// animate aligned box 1 around the aligned box
{
BoundingBox box = this.secondaryAABoxes[1].Box;
box.Center = new XMFloat3
{
X = 8 * XMScalar.Sin(1.1f * t) + camera1OriginX,
Y = 8 * XMScalar.Cos(5.8f * t),
Z = 8 * XMScalar.Cos(3.0f * t)
};
this.secondaryAABoxes[1].Box = box;
}
// animate sphere 2 around the oriented box
{
BoundingSphere sphere = this.secondarySpheres[2].Sphere;
sphere.Center = new XMFloat3
{
X = 8 * XMScalar.Sin(2.2f * t) + camera2OriginX,
Y = 8 * XMScalar.Cos(4.3f * t),
Z = 8 * XMScalar.Cos(1.8f * t)
};
this.secondarySpheres[2].Sphere = sphere;
}
// animate oriented box 2 around the oriented box
{
BoundingOrientedBox box = this.secondaryOrientedBoxes[2].Box;
box.Center = new XMFloat3
{
X = 8 * XMScalar.Sin(3.7f * t) + camera2OriginX,
Y = 8 * XMScalar.Cos(2.5f * t),
Z = 8 * XMScalar.Sin(1.1f * t)
};
box.Orientation = XMQuaternion.RotationRollPitchYaw(t * 0.9f, t * 1.8f, t);
this.secondaryOrientedBoxes[2].Box = box;
}
// animate aligned box 2 around the oriented box
{
BoundingBox box = this.secondaryAABoxes[2].Box;
box.Center = new XMFloat3
{
X = 8 * XMScalar.Sin(1.3f * t) + camera2OriginX,
Y = 8 * XMScalar.Cos(5.2f * t),
Z = 8 * XMScalar.Cos(3.5f * t)
};
this.secondaryAABoxes[2].Box = box;
}
// triangle points in local space - equilateral triangle with radius of 2
XMVector trianglePointA = new(0, 2, 0, 0);
XMVector trianglePointB = new(1.732f, -1, 0, 0);
XMVector trianglePointC = new(-1.732f, -1, 0, 0);
XMMatrix triangleCoords;
XMMatrix translation;
// animate triangle 0 around the frustum
triangleCoords = XMMatrix.RotationRollPitchYaw(t * 1.4f, t * 2.5f, t);
translation = XMMatrix.Translation(
5 * XMScalar.Sin(5.3f * t) + camera0OriginX,
5 * XMScalar.Cos(2.3f * t),
5 * XMScalar.Sin(3.4f * t));
triangleCoords = XMMatrix.Multiply(triangleCoords, translation);
this.secondaryTriangles[0].PointA = XMVector3.Transform(trianglePointA, triangleCoords);
this.secondaryTriangles[0].PointB = XMVector3.Transform(trianglePointB, triangleCoords);
this.secondaryTriangles[0].PointC = XMVector3.Transform(trianglePointC, triangleCoords);
// animate triangle 1 around the aligned box
triangleCoords = XMMatrix.RotationRollPitchYaw(t * 1.4f, t * 2.5f, t);
translation = XMMatrix.Translation(
8 * XMScalar.Sin(5.3f * t) + camera1OriginX,
8 * XMScalar.Cos(2.3f * t),
8 * XMScalar.Sin(3.4f * t));
triangleCoords = XMMatrix.Multiply(triangleCoords, translation);
this.secondaryTriangles[1].PointA = XMVector3.Transform(trianglePointA, triangleCoords);
this.secondaryTriangles[1].PointB = XMVector3.Transform(trianglePointB, triangleCoords);
this.secondaryTriangles[1].PointC = XMVector3.Transform(trianglePointC, triangleCoords);
// animate triangle 2 around the oriented box
triangleCoords = XMMatrix.RotationRollPitchYaw(t * 1.4f, t * 2.5f, t);
translation = XMMatrix.Translation(
8 * XMScalar.Sin(5.3f * t) + camera2OriginX,
8 * XMScalar.Cos(2.3f * t),
8 * XMScalar.Sin(3.4f * t));
triangleCoords = XMMatrix.Multiply(triangleCoords, translation);
this.secondaryTriangles[2].PointA = XMVector3.Transform(trianglePointA, triangleCoords);
this.secondaryTriangles[2].PointB = XMVector3.Transform(trianglePointB, triangleCoords);
this.secondaryTriangles[2].PointC = XMVector3.Transform(trianglePointC, triangleCoords);
// animate primary ray (this is the only animated primary object)
this.primaryRay.Direction = new XMVector(XMScalar.Sin(t * 3), 0, XMScalar.Cos(t * 3), 0);
// animate sphere 3 around the ray
{
BoundingSphere sphere = this.secondarySpheres[3].Sphere;
sphere.Center = new XMFloat3(camera3OriginX - 3, 0.5f * XMScalar.Sin(t * 5), camera3OriginZ);
this.secondarySpheres[3].Sphere = sphere;
}
// animate aligned box 3 around the ray
{
BoundingBox box = this.secondaryAABoxes[3].Box;
box.Center = new XMFloat3(camera3OriginX + 3, 0.5f * XMScalar.Sin(t * 4), camera3OriginZ);
this.secondaryAABoxes[3].Box = box;
}
// animate oriented box 3 around the ray
{
BoundingOrientedBox box = this.secondaryOrientedBoxes[3].Box;
box.Center = new XMFloat3(camera3OriginX, 0.5f * XMScalar.Sin(t * 4.5f), camera3OriginZ + 3);
box.Orientation = XMQuaternion.RotationRollPitchYaw(t * 0.9f, t * 1.8f, t);
this.secondaryOrientedBoxes[3].Box = box;
}
// animate triangle 3 around the ray
triangleCoords = XMMatrix.RotationRollPitchYaw(t * 1.4f, t * 2.5f, t);
translation = XMMatrix.Translation(
camera3OriginX,
0.5f * XMScalar.Cos(4.3f * t),
camera3OriginZ - 3);
triangleCoords = XMMatrix.Multiply(triangleCoords, translation);
this.secondaryTriangles[3].PointA = XMVector3.Transform(trianglePointA, triangleCoords);
this.secondaryTriangles[3].PointB = XMVector3.Transform(trianglePointB, triangleCoords);
this.secondaryTriangles[3].PointC = XMVector3.Transform(trianglePointC, triangleCoords);
}
