public void Interpolate(float time, out Transform t)
{
// Handle boundary conditions for matrix interpolation
if (!_actuallyAnimated || time <= _startTime)
{
t = _startTransform;
return;
}
if (time >= _endTime)
{
t = _endTransform;
return;
}
float dt = (time - _startTime) / (_endTime - _startTime);
// Interpolate translation at _dt_
Vector trans = (1.0f - dt) * _t[0] + dt * _t[1];
// Interpolate rotation at _dt_
Quaternion rotate = Quaternion.Slerp(dt, _r[0], _r[1]);
// Interpolate scale at _dt_
var scale = new Matrix4x4();
for (int i = 0; i < 3; ++i)
for (int j = 0; j < 3; ++j)
scale.M[i, j] = MathUtility.Lerp(dt, _s[0].M[i, j], _s[1].M[i, j]);
// Compute interpolated matrix as product of interpolated components
t = Transform.Translate(trans) * rotate.ToTransform() * new Transform(scale);
}
protected Shape(Transform objectToWorld, bool reverseOrientation)
{
ObjectToWorld = objectToWorld;
WorldToObject = Transform.Invert(objectToWorld);
ReverseOrientation = reverseOrientation;
TransformSwapsHandedness = objectToWorld.SwapsHandedness();
}
public Material CreateMaterial(ParamSet parameters, Transform transform)
{
var textureParams = new TextureParams(parameters, MaterialParams, FloatTextures, SpectrumTextures);
if (!string.IsNullOrEmpty(CurrentNamedMaterial) && NamedMaterials.ContainsKey(CurrentNamedMaterial))
return NamedMaterials[CurrentNamedMaterial];
return Factories.MakeMaterial(Material, transform, textureParams);
}
public Disk(Transform objectToWorld, bool reverseOrientation,
float height, float radius, float innerRadius, float phiMax)
: base(objectToWorld, reverseOrientation)
{
_height = height;
_radius = radius;
_innerRadius = innerRadius;
_phiMax = MathUtility.ToRadians(MathUtility.Clamp(phiMax, 0.0f, 360.0f));
}
public Cylinder(Transform objectToWorld, bool reverseOrientation,
float radius, float zMin, float zMax, float phiMax)
: base(objectToWorld, reverseOrientation)
{
_radius = radius;
_zMin = Math.Min(zMin, zMax);
_zMax = Math.Max(zMin, zMax);
_phiMax = MathUtility.ToRadians(MathUtility.Clamp(phiMax, 0.0f, 360.0f));
}
public Intersection(DifferentialGeometry dg, Primitive primitive,
Transform objectToWorld, Transform worldToObject,
float rayEpsilon)
{
_dg = dg;
_primitive = primitive;
WorldToObject = worldToObject;
ObjectToWorld = objectToWorld;
_rayEpsilon = rayEpsilon;
}
public Sphere(Transform objectToWorld, bool reverseOrientation,
float radius, float z0, float z1, float phiMax)
: base(objectToWorld, reverseOrientation)
{
_radius = radius;
_zMin = MathUtility.Clamp(Math.Min(z0, z1), -radius, radius);
_zMax = MathUtility.Clamp(Math.Max(z0, z1), -radius, radius);
_thetaMin = MathUtility.Acos(MathUtility.Clamp(_zMin / radius, -1.0f, 1.0f));
_thetaMax = MathUtility.Acos(MathUtility.Clamp(_zMax / radius, -1.0f, 1.0f));
_phiMax = MathUtility.ToRadians(MathUtility.Clamp(phiMax, 0.0f, 360.0f));
}
protected ProjectiveCamera(AnimatedTransform cameraToWorld, Transform cameraToScreen,
float[] screenWindow, float shutterOpen, float shutterClose,
float lensRadius, float focalDistance, Film film)
: base(cameraToWorld, shutterOpen, shutterClose, film)
{
_cameraToScreen = cameraToScreen;
_lensRadius = lensRadius;
_focalDistance = focalDistance;
// Compute projective camera screen transformations
_screenToRaster = Transform.Scale(film.XResolution, film.YResolution, 1.0f)
* Transform.Scale(1.0f / (screenWindow[1] - screenWindow[0]), 1.0f / (screenWindow[2] - screenWindow[3]), 1.0f)
* Transform.Translate(new Vector(-screenWindow[0], -screenWindow[3], 0.0f));
_rasterToScreen = Transform.Invert(_screenToRaster);
_rasterToCamera = Transform.Invert(_cameraToScreen) * _rasterToScreen;
}
public AnimatedTransform(
Transform startTransform, float startTime,
Transform endTransform, float endTime)
{
_startTransform = startTransform;
_startTime = startTime;
_endTransform = endTransform;
_endTime = endTime;
_actuallyAnimated = !startTransform.Equals(endTransform);
_t = new Vector[2];
_r = new Quaternion[2];
_s = new Matrix4x4[2];
Decompose(startTransform.Matrix, out _t[0], out _r[0], out _s[0]);
Decompose(endTransform.Matrix, out _t[1], out _r[1], out _s[1]);
}
public static AreaLight MakeAreaLight(string name, Transform lightToWorld,
ParamSet parameters, Shape shape)
{
switch (name)
{
case "area":
case "diffuse":
{
var l = parameters.FindSpectrum("L", new Spectrum(1.0f));
var scale = parameters.FindSpectrum("scale", new Spectrum(1.0f));
var numSamples = parameters.FindInt32("nsamples", 1);
return new DiffuseAreaLight(lightToWorld, l * scale, numSamples, shape);
}
default:
throw new ArgumentException("Unknown area light: " + name);
}
}
public static Material MakeMaterial(string name, Transform materialToWorld, TextureParams parameters)
{
switch (name)
{
case "matte" :
{
var kd = parameters.GetSpectrumTexture("Kd", new Spectrum(0.5f));
var sigma = parameters.GetFloatTexture("sigma", 0.0f);
var bumpMap = parameters.GetOptionalFloatTexture("bumpmap");
return new MatteMaterial(kd, sigma, bumpMap);
}
default:
throw new ArgumentException("Unknown material: " + name);
}
}
public static Shape MakeShape(string name, Transform objectToWorld,
bool reverseOrientation, ParamSet parameters)
{
switch (name)
{
case "cylinder":
{
var radius = parameters.FindSingle("radius", 1.0f);
var zMin = parameters.FindSingle("zmin", -1);
var zMax = parameters.FindSingle("zmax", 1);
var phiMax = parameters.FindSingle("phimax", 360.0f);
return new Cylinder(objectToWorld, reverseOrientation,
radius, zMin, zMax, phiMax);
}
case "disk" :
{
var height = parameters.FindSingle("height", 0.0f);
var radius = parameters.FindSingle("radius", 1.0f);
var innerRadius = parameters.FindSingle("innerradius", 0.0f);
var phiMax = parameters.FindSingle("phimax", 360.0f);
return new Disk(objectToWorld, reverseOrientation,
height, radius, innerRadius, phiMax);
}
case "sphere":
{
var radius = parameters.FindSingle("radius", 1.0f);
var zMin = parameters.FindSingle("zmin", -radius);
var zMax = parameters.FindSingle("zmax", radius);
var phiMax = parameters.FindSingle("phimax", 360.0f);
return new Sphere(objectToWorld, reverseOrientation, radius,
zMin, zMax, phiMax);
}
default:
throw new ArgumentException("Unknown shape: " + name);
}
}
public static Transform Invert(Transform t)
{
return new Transform(t._mInv, t._m);
}
public static Light MakeLight(string name, Transform lightToWorld, ParamSet parameters)
{
switch (name)
{
case "distant" :
{
var l = parameters.FindSpectrum("L", new Spectrum(1.0f));
var scale = parameters.FindSpectrum("scale", new Spectrum(1.0f));
var from = parameters.FindPoint("from", Point.Zero);
var to = parameters.FindPoint("to", new Point(0, 0, 1));
var dir = from - to;
return new DistantLight(lightToWorld, l * scale, dir);
}
case "point":
{
var i = parameters.FindSpectrum("I", new Spectrum(1.0f));
var scale = parameters.FindSpectrum("scale", new Spectrum(1.0f));
var from = parameters.FindPoint("from", Point.Zero);
var l2w = Transform.Translate((Vector) from) * lightToWorld;
return new PointLight(l2w, i * scale);
}
default:
throw new ArgumentException("Unknown light: " + name);
}
}
protected Light(Transform lightToWorld, int numSamples = 1)
{
_lightToWorld = lightToWorld;
_worldToLight = Transform.Invert(lightToWorld);
_numSamples = Math.Max(numSamples, 1);
}
public static Transform Transpose(Transform t)
{
return new Transform(
Matrix4x4.Transpose(t._m),
Matrix4x4.Transpose(t._mInv));
}
public virtual DifferentialGeometry GetShadingGeometry(
Transform objectToWorld, DifferentialGeometry dg)
{
return dg;
}
public static Texture<Spectrum> MakeSpectrumTexture(string name, Transform textureToWorld, TextureParams textureParams)
{
switch (name)
{
case "constant":
{
return new ConstantTexture<Spectrum>(textureParams.FindSpectrum("value", new Spectrum(1.0f)));
}
default:
throw new ArgumentException("Unknown spectrum texture: " + name);
}
}
public abstract Bssrdf GetBssrdf(DifferentialGeometry dg, Transform objectToWorld);
public override Bssrdf GetBssrdf(DifferentialGeometry dg, Transform objectToWorld)
{
var dgs = _shape.GetShadingGeometry(objectToWorld, dg);
return _material.GetBssrdf(dg, dgs);
}
public PointLight(Transform lightToWorld, Spectrum intensity)
: base(lightToWorld)
{
_intensity = intensity;
_lightPosition = lightToWorld.TransformPoint(Point.Zero);
}
protected AreaLight(Transform lightToWorld, int numSamples)
: base(lightToWorld, numSamples)
{
}
public DistantLight(Transform lightToWorld, Spectrum radiance, Vector direction)
: base(lightToWorld)
{
_radiance = radiance;
_direction = Vector.Normalize(lightToWorld.TransformVector(ref direction));
}
public static VolumeRegion MakeVolumeRegion(string name, Transform volumeToWorld, ParamSet parameters)
{
switch (name)
{
default:
throw new ArgumentException("Unknown volume region: " + name);
}
}
public override Bssrdf GetBssrdf(DifferentialGeometry dg, Transform objectToWorld)
{
return null;
}
public static Texture<float> MakeFloatTexture(string name, Transform textureToWorld, TextureParams textureParams)
{
switch (name)
{
case "constant":
{
return new ConstantTexture<float>(textureParams.FindSingle("value", 1.0f));
}
default:
throw new ArgumentException("Unknown float texture: " + name);
}
}
public DiffuseAreaLight(Transform lightToWorld, Spectrum lemit, int numSamples, Shape shape)
: base(lightToWorld, numSamples)
{
}
public TransformSet()
{
_transforms = new Transform[MaxTransforms];
for (var i = 0; i < MaxTransforms; i++)
_transforms[i] = new Transform();
}
public override Bssrdf GetBssrdf(DifferentialGeometry dg, Transform objectToWorld)
{
throw new InvalidOperationException("Aggregate.GetBssrdf() method called; should have gone to GeometricPrimitive.");
}