public ActorPane() : base()
{
Origin = new Vector();
XAxis = new Vector(1, 0, 0);
Normal = new Vector(0, 0, 1);
_scaling = 1;
}
/// <summary>
/// Default constructor.
/// </summary>
public Camera(Scene scene)
{
_scene = scene;
// set default positioning
_position = new Vector(0.0, 0.0, 9.0);
_upVec = new Vector(0.0, 1.0, 0.0);
_center = new Vector();
// set default field of view
fov = new Angle();
fov["deg"] = 28.0;
// set default interaction factors
dollyFactor = 0.15;
panFactor = 0.05;
lastDirection = ViewDirection.Front;
Frustum = new FrustumDef();
DefaultAnimationOptions.Duration = 4.0;
DefaultAnimationOptions.EaseType = EaseType.Quadratic;
UseInertia = true;
InertiaAnimationOptions = new AnimationOptions() {
Duration = 6.0,
EaseType = EaseType.Linear
};
InertiaType = InteractionType.None;
}
/// <summary>
/// Projects point onto the plane.
/// </summary>
public static Coord Project(this IPlane plane, Vector point)
{
var diff = point - plane.Origin; // point relative to the plane's origin
var x = diff.Dot(plane.XAxis); // x projection
var y = diff.Dot(plane.YAxis()); // y projection
return new Coord(x, y);
}
/// <summary>
/// Computes the ellipse geometry.
/// </summary>
/// <remarks>
/// This is based on the psuedocode in http://en.wikipedia.org/wiki/Ellipse.
/// </remarks>
public override void ComputeGeometry()
{
base.ComputeGeometry();
if (Anchor2 == null)
return;
// allocate the points
int N = ModelingOptions.Global.CircleDivs;
if (solidPoints.Length != N)
{
solidPoints = new Vector[N];
directions = new Vector[N];
}
// get the major and minor axes
Vector x = Sketch.Plane.LocalX;
Vector y = Sketch.Plane.LocalY;
Vector center = Center.ToVector();
double a = x.Dot(Anchor2.ToVector() - center);
double b = y.Dot(Anchor2.ToVector() - center);
// compute the locations of the points
var sinbeta = Tilt.Sin();
var cosbeta = Tilt.Cos();
Angle theta = new Angle();
Angle dTheta = Angle.TwoPi / (N-1);
_bounds.Reset();
for (int i = 0; i < N; i ++)
{
double dx = a * theta.Cos() * cosbeta - b * theta.Sin() * sinbeta;
double dy = a * theta.Cos() * sinbeta + b * theta.Sin() * cosbeta;
solidPoints[i] = center + x * dx + y * dy;
_bounds.Resize(solidPoints[i]);
theta += dTheta;
}
// generate the directions
for (int i = 0; i < N; i++)
{
if (i == 0)
directions[i] = (solidPoints[i+1] - solidPoints[N - 1]).Normalize();
else if (i == N - 1)
directions[i] = (solidPoints[0] - solidPoints[i - 1]).Normalize();
else
directions[i] = (solidPoints[i + 1] - solidPoints[i - 1]).Normalize();
}
// generate the wireframe points
wireframePoints[0] = center + x * a;
wireframePoints[1] = center + y * b;
wireframePoints[2] = center - x * a;
wireframePoints[3] = center - y * b;
}
/// <summary>
/// Default constructor.
/// </summary>
/// <param name="parent"></param>
public Axis(AxesBox parent)
: base(parent)
{
_tickLength = 8;
_labelPane = new LabelPane() {
OriginLocation = AnchorLocation.Center
};
_labelPane.Label.Body = "label";
Start = new Vector();
Stop = new Vector();
}
/// <summary>
/// Performs matrix multiplication on a vector.
/// </summary>
/// <param name="m"> The <see cref="Matrix"/>. </param>
/// <param name="v"> The <see cref="Vector"/>. </param>
/// <returns> The resulting <see cref="Vector"/>. </returns>
public static Vector operator*(Matrix m, Vector v)
{
Vector ret = new Vector();
for (int i=0; i<3; i++)
{
double row = 0;
for (int j=0; j<3; j++)
{
row += (m[i,j] * v[j]);
}
ret[i] = row;
}
return ret;
}
/// <summary>
/// Initialization constructor.
/// </summary>
/// <param name="center"> The "center" of the line. </param>
/// <param name="direction"> The direction. </param>
public RefLine(Point center, Vector direction) : this()
{
Center = center;
Direction = direction;
}
/// <summary>
/// Performs a hit test with two vectors lying on a 3D line.
/// </summary>
/// <param name="hitLine"> A <see cref="HitLine"/> defining the hit. </param>
/// <param name="hit">The point of the hit, if any.</param>
/// <returns> True if the entity was hit. </returns>
public virtual bool HitTest(HitLine hitLine, out Vector hit)
{
hit = null;
if (!isSet)
return false;
// check if the line lies entirely outside the box
if (hitLine.Back[0] < minima[0] && hitLine.Front[0] < minima[0])
return false;
if (hitLine.Back[0] > maxima[0] && hitLine.Front[0] > maxima[0])
return false;
if (hitLine.Back[1] < minima[1] && hitLine.Front[1] < minima[1])
return false;
if (hitLine.Back[1] > maxima[1] && hitLine.Front[1] > maxima[1])
return false;
if (hitLine.Back[2] < minima[2] && hitLine.Front[2] < minima[2])
return false;
if (hitLine.Back[2] > maxima[2] && hitLine.Front[2] > maxima[2])
return false;
// check if the line lies entirely inside the box
if (hitLine.Front[0] > minima[0] && hitLine.Front[0] < maxima[0] &&
hitLine.Front[1] > minima[1] && hitLine.Front[1] < maxima[1] &&
hitLine.Front[2] > minima[2] && hitLine.Front[2] < maxima[2])
{
hit = hitLine.Front;
return true;
}
// check if the line intersects any of the individual sides
if ((GetIntersection(hitLine.Front[0] - minima[0], hitLine.Back[0] - minima[0], hitLine.Front, hitLine.Back, out hit) && InBox(hit, minima, maxima, 1))
|| (GetIntersection(hitLine.Front[1] - minima[1], hitLine.Back[1] - minima[1], hitLine.Front, hitLine.Back, out hit) && InBox(hit, minima, maxima, 2))
|| (GetIntersection(hitLine.Front[2] - minima[2], hitLine.Back[2] - minima[2], hitLine.Front, hitLine.Back, out hit) && InBox(hit, minima, maxima, 3))
|| (GetIntersection(hitLine.Front[0] - maxima[0], hitLine.Back[0] - maxima[0], hitLine.Front, hitLine.Back, out hit) && InBox(hit, minima, maxima, 1))
|| (GetIntersection(hitLine.Front[1] - maxima[1], hitLine.Back[1] - maxima[1], hitLine.Front, hitLine.Back, out hit) && InBox(hit, minima, maxima, 2))
|| (GetIntersection(hitLine.Front[2] - maxima[2], hitLine.Back[2] - maxima[2], hitLine.Front, hitLine.Back, out hit) && InBox(hit, minima, maxima, 3)))
{
return true;
}
return false;
}
/// <summary>
/// Performs a dot product on two vectors.
/// </summary>
/// <param name="rhs"> The second <see cref="Vector"/>. </param>
/// <returns> The resulting value. </returns>
public double Dot(Vector rhs)
{
return _val[0]*rhs[0] + _val[1]*rhs[1] + _val[2]*rhs[2];
}
public void Points()
{
Vector p = new Vector(1.0, 2.0, 3.0);
Assert.AreEqual(p[1], 2.0);
}
/// <summary>
/// Initialization constructor.
/// </summary>
/// <param name="x"> The i component. </param>
/// <param name="y"> The j component. </param>
/// <param name="z"> The k component. </param>
/// <param name="t"> The scalar component. </param>
public Quaternion(double t, double x, double y, double z)
{
scalar = t;
vector = new Vector( x, y, z);
}
/// <summary>
/// Default constructor.
/// </summary>
public Sketchable()
{
solidPoints = new Vector[0];
wireframePoints = new Vector[0];
directions = new Vector[0];
}
/// <summary>
/// Translates the bounds by the given difference vector.
/// </summary>
/// <param name="diff"> A <see cref="Vector"/> to translate by. </param>
public void Translate(Vector diff)
{
minima += diff;
maxima += diff;
}
/// <summary>
/// Expands the bounds in all dimensions by the given factor around the center.
/// </summary>
/// <param name="factor"> </param>
/// <remarks> factors less than one make it contract.</remarks>
public void Expand(double factor)
{
Vector center = Center;
minima = center + (minima - center) * factor;
maxima = center + (maxima - center) * factor;
}
/// <summary>
/// Resizes the bounds to fit another bounds.
/// </summary>
/// <param name="other"> Another <see cref="Bounds"/> that needs to fit in this one. </param>
public void Resize(Bounds other)
{
if (other.Minima != null)
{
if (isSet) // the bounds have already been set
{
minima.KeepMinima(other.Minima);
maxima.KeepMaxima(other.Maxima);
}
else // the bounds haven't been set
{
isSet = true;
minima = other.Minima.Copy();
maxima = other.Maxima.Copy();
}
}
}
/// <summary>
/// Resizes the bounds to fit x, y, and z.
/// </summary>
/// <param name="x"></param>
/// <param name="y"></param>
/// <param name="z"></param>
public void Resize(double x, double y, double z)
{
if (isSet) // the bounds have already been set
{
minima.KeepMinima(x, y, z);
maxima.KeepMaxima(x, y, z);
}
else // the bounds haven't been set
{
isSet = true;
minima = new Vector(x, y, z);
maxima = new Vector(x, y, z);
}
}
/// <summary>
/// Resizes the bounds to fit vector.
/// </summary>
/// <param name="vector"> A <see cref="Vector"/> that needs to fit in the bounds. </param>
public void Resize(Vector vector)
{
if (isSet) // the bounds have already been set
{
minima.KeepMinima(vector);
maxima.KeepMaxima(vector);
}
else // the bounds haven't been set
{
isSet = true;
minima = vector.Copy();
maxima = vector.Copy();
}
}
/// <summary>
/// Keeps the largest value in each dimension.
/// </summary>
/// <param name="other"> Another <see cref="Vector"/>. </param>
public void KeepMaxima(Vector other)
{
for (int i=0; i<3; i++)
_val[i] = Math.Max( _val[i], other[i]);
}
/// <summary>
/// Rotates the vector about the given axis with the given angle.
/// </summary>
/// <param name="axis"> Axis of rotation. </param>
/// <param name="angle"> Angle of rotation. </param>
public Vector Rotate(Vector axis, Angle angle)
{
// quaternion method
Quaternion R = new Quaternion();
R.Scalar = (angle/2.0).Cos();
R.Vector = axis.Normalize() * (angle/2.0).Sin();
Quaternion v = new Quaternion(0.0, this);
Quaternion res = R * v * R.T();
return res.Vector;
}
/// <summary>
/// Computes the line's geometry.
/// </summary>
public override void ComputeGeometry()
{
base.ComputeGeometry();
double t=6;
start = Center.ToVector() - Direction * t;
_bounds.Resize(start);
stop = Center.ToVector() + Direction * t;
_bounds.Resize(stop);
}
/// <summary>
/// Computes the raw points needed to draw the sketch.
/// </summary>
public override void ComputeGeometry()
{
base.ComputeGeometry();
if (IsClosed)
{
solidPoints = new Vector[Points.Count+1];
directions = new Vector[Points.Count+1];
}
else // open
{
solidPoints = new Vector[Points.Count];
directions = new Vector[Points.Count];
}
for (int i=0; i<Points.Count; i++)
{
solidPoints[i] = Points[i].ToVector();
// compute the direction
if (i < Points.Count - 1)
directions[i] = (solidPoints[i] - Points[i + 1].ToVector()).Normalize();
else if (Points.Count > 1) // only compute direction if there's more than one point
directions[i] = (solidPoints[i] - solidPoints[i - 1]).Normalize();
else
directions[i] = new Vector();
_bounds.Resize(solidPoints[i]);
}
// if closed, the first point needs to be copied to the end
if (IsClosed)
{
solidPoints[Points.Count] = solidPoints[0];
directions[Points.Count] = directions[0];
}
// for lines, the solid and wireframe points are the same
wireframePoints = solidPoints;
}
/// <summary>
/// Gets the most outside edges from the scene of a camera.
/// </summary>
/// <returns> The low and high end of each edge (6 elements).</returns>
public Vector[] GetOutsideEdges(Scene scene)
{
Vector[] edges = new Vector[6];
Vector camPos = scene.Camera.Position;
Vector camCenter = scene.Camera.Center;
double zVal = minima[2]; // z value of the x and y axes
if (camPos[2] + 0.01 < camCenter[2]) // z position of the camera is negative
zVal = maxima[2]; // draw the z axis on top
// big, fugly if statement
if (camPos[0] >= camCenter[0] && camPos[1] >= camCenter[1])
{
edges[0] = new Vector(minima[0], maxima[1], zVal); // x axis
edges[1] = new Vector(maxima[0], maxima[1], zVal);
edges[2] = new Vector(maxima[0], minima[1], zVal); // y axis
edges[3] = new Vector(maxima[0], maxima[1], zVal);
edges[4] = new Vector(maxima[0], minima[1], minima[2]); // z axis
edges[5] = new Vector(maxima[0], minima[1], maxima[2]);
}
else if (camPos[0] < camCenter[0] && camPos[1] >= camCenter[1])
{
edges[0] = new Vector(minima[0], maxima[1], zVal); // x axis
edges[1] = new Vector(maxima[0], maxima[1], zVal);
edges[2] = new Vector(minima[0], minima[1], zVal); // y axis
edges[3] = new Vector(minima[0], maxima[1], zVal);
edges[4] = new Vector(maxima[0], maxima[1], minima[2]); // z axis
edges[5] = new Vector(maxima[0], maxima[1], maxima[2]);
}
else if (camPos[0] < camCenter[0] && camPos[1] < camCenter[1])
{
edges[0] = new Vector(minima[0], minima[1], zVal); // x axis
edges[1] = new Vector(maxima[0], minima[1], zVal);
edges[2] = new Vector(minima[0], minima[1], zVal); // y axis
edges[3] = new Vector(minima[0], maxima[1], zVal);
edges[4] = new Vector(minima[0], maxima[1], minima[2]); // z axis
edges[5] = new Vector(minima[0], maxima[1], maxima[2]);
}
else if (camPos[0] >= camCenter[0] && camPos[1] < camCenter[1])
{
edges[0] = new Vector(minima[0], minima[1], minima[2]); // x axis
edges[1] = new Vector(maxima[0], minima[1], minima[2]);
edges[2] = new Vector(maxima[0], minima[1], minima[2]); // y axis
edges[3] = new Vector(maxima[0], maxima[1], minima[2]);
edges[4] = new Vector(minima[0], minima[1], minima[2]); // z axis
edges[5] = new Vector(minima[0], minima[1], maxima[2]);
}
return edges;
}
/// <summary>
/// Default constructor.
/// </summary>
public Quaternion()
{
vector = new Vector();
scalar = 0.0;
}
/// <summary>
/// Finds the furthest corner from the given point.
/// </summary>
/// <param name="point"> A <see cref="Vector"/> to compute the distance from. </param>
/// <returns> A <see cref="Vector"/> representing the furthest corner. </returns>
public Vector FurthestCorner(Vector point)
{
double dist = 0;
Vector furthest = null;
foreach (Vector corner in Corners)
{
double dist_ = (point - corner).Magnitude;
if (dist_ > dist)
{
dist = dist_;
furthest = corner;
}
}
return furthest;
}
/// <summary>
/// Initialization constructor.
/// </summary>
/// <param name="t">The scalar component. </param>
/// <param name="v"> The vector component. </param>
public Quaternion(double t, Vector v)
{
scalar = t;
vector = v;
}
/// <summary>
/// Returns true if the hit is inside a specific axis.
/// </summary>
/// <param name="Hit"> </param>
/// <param name="minima"> </param>
/// <param name="maxima"> </param>
/// <param name="Axis"> </param>
/// <returns> True if there's a hit. </returns>
protected bool InBox( Vector Hit, Vector minima, Vector maxima, int Axis)
{
if ( Axis==1 && Hit[2] > minima[2] && Hit[2] < maxima[2] && Hit[1] > minima[1] && Hit[1] < maxima[1])
return true;
if ( Axis==2 && Hit[2] > minima[2] && Hit[2] < maxima[2] && Hit[0] > minima[0] && Hit[0] < maxima[0])
return true;
if ( Axis==3 && Hit[0] > minima[0] && Hit[0] < maxima[0] && Hit[1] > minima[1] && Hit[1] < maxima[1])
return true;
return false;
}
public Rectangle(Sketch sketch) : base(sketch)
{
solidPoints = new Vector[5]; // needs to come back on itself
directions = new Vector[5];
wireframePoints = new Vector[4]; // just the corners
}
/// <summary>
/// Initialization constructor.
/// </summary>
/// <param name="minima"> The minima. </param>
/// <param name="maxima"> The maxima. </param>
public Bounds(Vector minima, Vector maxima)
{
isSet = true;
this.minima = minima;
this.maxima = maxima;
}
protected bool GetIntersection( double fDst1, double fDst2, Vector P1, Vector P2, out Vector Hit)
{
Hit = null;
if ( (fDst1 * fDst2) >= 0.0f)
return false;
if ( fDst1 == fDst2)
return false;
Hit = P1 + (P2-P1) * ( -fDst1/(fDst2-fDst1) );
return true;
}
/// <summary>
/// Performs a cross product on two vectors.
/// </summary>
/// <param name="rhs"> The second <see cref="Vector"/>. </param>
/// <returns> The resulting <see cref="Vector"/>. </returns>
public Vector Cross(Vector rhs)
{
Vector res = new Vector();
res[0] = _val[1]*rhs[2] - _val[2]*rhs[1];
res[1] = _val[2]*rhs[0] - _val[0]*rhs[2];
res[2] = _val[0]*rhs[1] - _val[1]*rhs[0];
return res;
}
