public static XMVector Project(
XMVector v,
float viewportX,
float viewportY,
float viewportWidth,
float viewportHeight,
float viewportMinZ,
float viewportMaxZ,
XMMatrix projection,
XMMatrix view,
XMMatrix world)
{
float halfViewportWidth = viewportWidth * 0.5f;
float halfViewportHeight = viewportHeight * 0.5f;
XMVector scale = new XMVector(halfViewportWidth, -halfViewportHeight, viewportMaxZ - viewportMinZ, 0.0f);
XMVector offset = new XMVector(viewportX + halfViewportWidth, viewportY + halfViewportHeight, viewportMinZ, 0.0f);
XMMatrix transform = XMMatrix.Multiply(world, view);
transform = XMMatrix.Multiply(transform, projection);
XMVector result = XMVector3.TransformCoord(v, transform);
result = XMVector.MultiplyAdd(result, scale, offset);
return(result);
}
public static XMVector Unproject(
XMVector v,
float viewportX,
float viewportY,
float viewportWidth,
float viewportHeight,
float viewportMinZ,
float viewportMaxZ,
XMMatrix projection,
XMMatrix view,
XMMatrix world)
{
XMVector d = XMVector.FromFloat(-1.0f, 1.0f, 0.0f, 0.0f);
XMVector scale = new XMVector(viewportWidth * 0.5f, -viewportHeight * 0.5f, viewportMaxZ - viewportMinZ, 1.0f);
scale = scale.Reciprocal();
XMVector offset = new XMVector(-viewportX, -viewportY, -viewportMinZ, 0.0f);
offset = XMVector.MultiplyAdd(scale, offset, d);
XMMatrix transform = XMMatrix.Multiply(world, view);
transform = XMMatrix.Multiply(transform, projection);
transform = transform.Inverse();
XMVector result = XMVector.MultiplyAdd(v, scale, offset);
return(XMVector3.TransformCoord(result, transform));
}
static void Transform(XMMatrix target, Viewport viewport, float angle, float scale, float w, float h)
{
using var r = new XMMatrix();
using var b = new XMMatrix();
using var s = new XMMatrix();
using var t = new XMMatrix();
r.RotationZ((float)(angle / 180 * Math.PI));
s.Scaling(scale, scale, 1.0f);
t.Translation(viewport.Width / 2 - w * scale / 2, viewport.Height / 2 - h * scale / 2, 0.0f);
b.Translation(-viewport.Width / 2, -viewport.Height / 2, 0.0f);
b.Multiply(r);
r.Set(b);
b.Identity();
b.Translation(viewport.Width / 2, viewport.Height / 2, 0.0f);
r.Multiply(b);
s.Multiply(t);
s.Multiply(r);
target.Set(s);
}
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);
}
