public Camera(float near = 0.1f, float far = 2000)
{
matrixWorldInverse = Matrix4.Identity;
projectionMatrix = Matrix4.Identity;
this.near = near;
this.far = far;
}
public static Vector3 UnprojectVector(Vector3 vector, Matrix4 projectionMatrix, Matrix4 matrixWorld)
{
var projectionMatrixInverse = Matrix4.GetInverse(projectionMatrix);
viewProjectionMatrix.MultiplyMatrices(matrixWorld, projectionMatrixInverse);
var v = vector;
v.ApplyProjection(viewProjectionMatrix);
return v;
}
public void CopyPosition(Matrix4 m)
{
var te = this.elements;
var me = m.elements;
te[12] = me[12];
te[13] = me[13];
te[14] = me[14];
}
public static Frustum FromMatrix(Matrix4 projectionScreen)
{
var me = projectionScreen.elements;
float me0 = me[0], me1 = me[1], me2 = me[2], me3 = me[3];
float me4 = me[4], me5 = me[5], me6 = me[6], me7 = me[7];
float me8 = me[8], me9 = me[9], me10 = me[10], me11 = me[11];
float me12 = me[12], me13 = me[13], me14 = me[14], me15 = me[15];
var f = new Frustum(
new Plane(me3 - me0, me7 - me4, me11 - me8, me15 - me12),
new Plane(me3 + me0, me7 + me4, me11 + me8, me15 + me12),
new Plane(me3 + me1, me7 + me5, me11 + me9, me15 + me13),
new Plane(me3 - me1, me7 - me5, me11 - me9, me15 - me13),
new Plane(me3 - me2, me7 - me6, me11 - me10, me15 - me14),
new Plane(me3 + me2, me7 + me6, me11 + me10, me15 + me14));
foreach(var p in f.planes) p.Normalize();
return f;
}
public static Matrix4 ExtractRotation(Matrix4 m)
{
var res = Matrix4.Identity;
var te = res.elements;
var me = m.elements;
var scaleX = 1 / new Vector3(me[0], me[1], me[2]).Length();
var scaleY = 1 / new Vector3(me[4], me[5], me[6]).Length();
var scaleZ = 1 / new Vector3(me[8], me[9], me[10]).Length();
te[0] = me[0] * scaleX;
te[1] = me[1] * scaleX;
te[2] = me[2] * scaleX;
te[4] = me[4] * scaleY;
te[5] = me[5] * scaleY;
te[6] = me[6] * scaleY;
te[8] = me[8] * scaleZ;
te[9] = me[9] * scaleZ;
te[10] = me[10] * scaleZ;
return res;
}
//Set this matrix to the inverse of the passed matrix.
public static Matrix3 GetInverse(Matrix4 matrix)
{
// ( based on http://code.google.com/p/webgl-mjs/ )
var me = matrix.elements;
var res = Matrix3.Identity;
var te = res.elements;
te[0] = me[10] * me[5] - me[6] * me[9];
te[1] = -me[10] * me[1] + me[2] * me[9];
te[2] = me[6] * me[1] - me[2] * me[5];
te[3] = -me[10] * me[4] + me[6] * me[8];
te[4] = me[10] * me[0] - me[2] * me[8];
te[5] = -me[6] * me[0] + me[2] * me[4];
te[6] = me[9] * me[4] - me[5] * me[8];
te[7] = -me[9] * me[0] + me[1] * me[8];
te[8] = me[5] * me[0] - me[1] * me[4];
var det = me[0] * te[0] + me[1] * te[3] + me[2] * te[6];
if (det == 0) throw new InvalidOperationException("Can't invert matrix, determinant is 0");
res.Multiply(1 / det);
return res;
}
private void Update(Scene scene, Camera camera)
{
// set GL state for depth map
GL.ClearColor(1, 1, 1, 1);
GL.Disable(EnableCap.Blend);
GL.Enable(EnableCap.CullFace);
GL.FrontFace(FrontFaceDirection.Ccw);
GL.CullFace(renderer.shadowMapCullFace);
renderer.DepthTest = true;
var lights = new List<Light>();
// preprocess lights
// - skip lights that are not casting shadows
// - create virtual lights for cascaded shadow maps
foreach (var light in scene.lights)
{
if (!light.DoesCastShadow) continue;
var shadowLight = light as HasShadow;
if (shadowLight != null && shadowLight.ShadowCascade)
{
for (var n = 0; n < shadowLight.ShadowCascadeCount; n++)
{
VirtualLight virtualLight;
if (shadowLight.ShadowCascadeArray[n] == null)
{
virtualLight = CreateVirtualLight(light, n);
virtualLight.OriginalCamera = camera;
var gyro = new Gyroscope();
gyro.Position = shadowLight.ShadowCascadeOffset;
gyro.Add(virtualLight);
//gyro.Add(virtualLight.Target);
camera.Add(gyro);
shadowLight.ShadowCascadeArray[n] = virtualLight;
Debug.WriteLine("Created virtualLight {0}", virtualLight);
}
else
{
virtualLight = shadowLight.ShadowCascadeArray[n];
}
UpdateVirtualLight(light, n);
lights.Add(virtualLight);
}
}
else
{
lights.Add(light);
}
}
// render depth map
foreach (var light in lights)
{
var hasShadow = light as HasShadow;
if (hasShadow.shadowMap == null)
{
var isSoftShadow = renderer.shadowMapType == ShadowType.PCFSoftShadowMap;
hasShadow.shadowMap = new RenderTarget(hasShadow.ShadowMapWidth, hasShadow.ShadowMapHeight);
hasShadow.shadowMap.MinFilter = isSoftShadow ? TextureMinFilter.Nearest : TextureMinFilter.Linear;
hasShadow.shadowMap.MagFilter = isSoftShadow ? TextureMagFilter.Nearest : TextureMagFilter.Linear; ;
hasShadow.shadowMap.Format = Three.Net.Renderers.PixelFormat.RGBA;
hasShadow.ShadowMapSize = new Vector2(hasShadow.ShadowMapWidth, hasShadow.ShadowMapHeight);
hasShadow.ShadowMatrix = Matrix4.Identity;
}
if (hasShadow.ShadowCamera == null)
{
if (hasShadow is SpotLight) hasShadow.ShadowCamera = new PerspectiveCamera(renderer, hasShadow.ShadowCameraFov, hasShadow.ShadowCameraNear, hasShadow.ShadowCameraFar);
else if (hasShadow is DirectionalLight) hasShadow.ShadowCamera = new OrthographicCamera(hasShadow.ShadowCameraLeft, hasShadow.ShadowCameraRight, hasShadow.ShadowCameraTop, hasShadow.ShadowCameraBottom, hasShadow.ShadowCameraNear, hasShadow.ShadowCameraFar);
else throw new Exception("Unsupported light type for shadow");
scene.Add(hasShadow.ShadowCamera);
if (scene.AutoUpdate) scene.UpdateMatrixWorld();
}
if (hasShadow.ShadowCameraVisible /* && light.CameraHelper == null*/)
{
throw new NotImplementedException();
//light.CameraHelper = new CameraHelper( hasShadow.ShadowCamera );
//hasShadow.ShadowCamera.Add( light.CameraHelper );
}
var virtualLight = light as VirtualLight;
if (virtualLight != null && virtualLight.OriginalCamera == camera)
{
UpdateShadowCamera(camera, light);
}
var shadowMap = hasShadow.shadowMap;
var shadowMatrix = hasShadow.ShadowMatrix;
var shadowCamera = hasShadow.ShadowCamera;
shadowCamera.Position = Vector3.FromPosition(light.matrixWorld);
matrixPosition = (light as HasTarget).Target;
shadowCamera.LookAt(matrixPosition);
shadowCamera.UpdateMatrixWorld();
shadowCamera.matrixWorldInverse = Matrix4.GetInverse(shadowCamera.matrixWorld);
//TODO : Creating helpers if ( light.cameraHelper ) light.cameraHelper.visible = light.shadowCameraVisible;
//if (hasShadow.ShadowCameraVisible) light.cameraHelper.update();
// compute shadow matrix
shadowMatrix = new Matrix4(0.5f, 0.0f, 0.0f, 0.5f,
0.0f, 0.5f, 0.0f, 0.5f,
0.0f, 0.0f, 0.5f, 0.5f,
0.0f, 0.0f, 0.0f, 1.0f);
shadowMatrix.Multiply(shadowCamera.projectionMatrix);
shadowMatrix.Multiply(shadowCamera.matrixWorldInverse);
// update camera matrices and frustum
projectionScreenMatrix.MultiplyMatrices(shadowCamera.projectionMatrix, shadowCamera.matrixWorldInverse);
frustum = Frustum.FromMatrix(projectionScreenMatrix);
// render shadow map
renderer.SetRenderTarget(shadowMap);
renderer.Clear();
// set object matrices & frustum culling
renderList.Clear();
ProjectObject(scene, scene, shadowCamera);
// render regular objects
foreach (var glObject in renderList)
{
var o = glObject.Object;
var buffer = glObject.Buffer;
throw new NotImplementedException();
}
}
// restore GL state
var clearColor = renderer.ClearColor;
GL.ClearColor(clearColor.R, clearColor.G, clearColor.B, 1);
GL.Enable(EnableCap.Blend);
if (renderer.shadowMapCullFace == CullFaceMode.Front) GL.CullFace(CullFaceMode.Back);
}
public void Apply(Matrix4 matrix ) {
var normalMatrix = Matrix3.GetNormalMatrix( matrix );
for(var i = 0; i < vertices.Count; i++)
{
var vertex = vertices[ i ];
vertex.Apply( matrix );
vertices[i] = vertex;
}
for ( var i = 0; i < faces.Count; i ++ )
{
var face = faces[ i ];
var a = face.NormalA;
a.Apply(normalMatrix);
a.Normalize();
face.NormalA = a;
var b = face.NormalB;
b.Apply(normalMatrix);
b.Normalize();
face.NormalB = b;
var c = face.NormalC;
c.Apply(normalMatrix);
c.Normalize();
face.NormalC = c;
}
ComputeBoundingBox();
ComputeBoundingSphere();
}
public void Apply(Matrix4 matrix)
{
Center.Apply(matrix);
Radius *= matrix.GetMaxScaleOnAxis();
}
public void Apply(Matrix4 m)
{
matrix.MultiplyMatrices(m, matrix);
matrix.Decompose(ref Position, ref quaternion, ref Scale);
}
public void MultiplyMatrices(Matrix4 a, Matrix4 b)
{
if (elements == null) elements = new float[16];
var ae = a.elements;
var be = b.elements;
float a11 = ae[0], a12 = ae[4], a13 = ae[8], a14 = ae[12];
float a21 = ae[1], a22 = ae[5], a23 = ae[9], a24 = ae[13];
float a31 = ae[2], a32 = ae[6], a33 = ae[10], a34 = ae[14];
float a41 = ae[3], a42 = ae[7], a43 = ae[11], a44 = ae[15];
float b11 = be[0], b12 = be[4], b13 = be[8], b14 = be[12];
float b21 = be[1], b22 = be[5], b23 = be[9], b24 = be[13];
float b31 = be[2], b32 = be[6], b33 = be[10], b34 = be[14];
float b41 = be[3], b42 = be[7], b43 = be[11], b44 = be[15];
elements[0] = a11 * b11 + a12 * b21 + a13 * b31 + a14 * b41;
elements[4] = a11 * b12 + a12 * b22 + a13 * b32 + a14 * b42;
elements[8] = a11 * b13 + a12 * b23 + a13 * b33 + a14 * b43;
elements[12] = a11 * b14 + a12 * b24 + a13 * b34 + a14 * b44;
elements[1] = a21 * b11 + a22 * b21 + a23 * b31 + a24 * b41;
elements[5] = a21 * b12 + a22 * b22 + a23 * b32 + a24 * b42;
elements[9] = a21 * b13 + a22 * b23 + a23 * b33 + a24 * b43;
elements[13] = a21 * b14 + a22 * b24 + a23 * b34 + a24 * b44;
elements[2] = a31 * b11 + a32 * b21 + a33 * b31 + a34 * b41;
elements[6] = a31 * b12 + a32 * b22 + a33 * b32 + a34 * b42;
elements[10] = a31 * b13 + a32 * b23 + a33 * b33 + a34 * b43;
elements[14] = a31 * b14 + a32 * b24 + a33 * b34 + a34 * b44;
elements[3] = a41 * b11 + a42 * b21 + a43 * b31 + a44 * b41;
elements[7] = a41 * b12 + a42 * b22 + a43 * b32 + a44 * b42;
elements[11] = a41 * b13 + a42 * b23 + a43 * b33 + a44 * b43;
elements[15] = a41 * b14 + a42 * b24 + a43 * b34 + a44 * b44;
}
public void UpdateMatrix()
{
matrix = Matrix4.Compose(Position, Quaternion, Scale );
matrixWorldNeedsUpdate = true;
}
public void Decompose(ref Vector3 position, ref Quaternion quaternion, ref Vector3 scale)
{
var te = this.elements;
var sx = new Vector3(te[0], te[1], te[2]).Length();
var sy = new Vector3(te[4], te[5], te[6]).Length();
var sz = new Vector3(te[8], te[9], te[10]).Length();
// if determine is negative, we need to invert one scale
var det = Determinant();
if (det < 0) sx = -sx;
position.x = te[12];
position.y = te[13];
position.z = te[14];
// scale the rotation part
var matrix = new Matrix4(elements);
var invSX = 1 / sx;
var invSY = 1 / sy;
var invSZ = 1 / sz;
matrix.elements[0] *= invSX;
matrix.elements[1] *= invSX;
matrix.elements[2] *= invSX;
matrix.elements[4] *= invSY;
matrix.elements[5] *= invSY;
matrix.elements[6] *= invSY;
matrix.elements[8] *= invSZ;
matrix.elements[9] *= invSZ;
matrix.elements[10] *= invSZ;
quaternion = Quaternion.FromRotation(matrix);
scale.x = sx;
scale.y = sy;
scale.z = sz;
}
//Sets this matrix to the inverse of matrix m.
public static Matrix4 GetInverse(Matrix4 m)
{
// based on http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm
var res = Matrix4.Identity;
var te = res.elements;
var me = m.elements;
float n11 = me[0], n12 = me[4], n13 = me[8], n14 = me[12];
float n21 = me[1], n22 = me[5], n23 = me[9], n24 = me[13];
float n31 = me[2], n32 = me[6], n33 = me[10], n34 = me[14];
float n41 = me[3], n42 = me[7], n43 = me[11], n44 = me[15];
te[0] = n23 * n34 * n42 - n24 * n33 * n42 + n24 * n32 * n43 - n22 * n34 * n43 - n23 * n32 * n44 + n22 * n33 * n44;
te[4] = n14 * n33 * n42 - n13 * n34 * n42 - n14 * n32 * n43 + n12 * n34 * n43 + n13 * n32 * n44 - n12 * n33 * n44;
te[8] = n13 * n24 * n42 - n14 * n23 * n42 + n14 * n22 * n43 - n12 * n24 * n43 - n13 * n22 * n44 + n12 * n23 * n44;
te[12] = n14 * n23 * n32 - n13 * n24 * n32 - n14 * n22 * n33 + n12 * n24 * n33 + n13 * n22 * n34 - n12 * n23 * n34;
te[1] = n24 * n33 * n41 - n23 * n34 * n41 - n24 * n31 * n43 + n21 * n34 * n43 + n23 * n31 * n44 - n21 * n33 * n44;
te[5] = n13 * n34 * n41 - n14 * n33 * n41 + n14 * n31 * n43 - n11 * n34 * n43 - n13 * n31 * n44 + n11 * n33 * n44;
te[9] = n14 * n23 * n41 - n13 * n24 * n41 - n14 * n21 * n43 + n11 * n24 * n43 + n13 * n21 * n44 - n11 * n23 * n44;
te[13] = n13 * n24 * n31 - n14 * n23 * n31 + n14 * n21 * n33 - n11 * n24 * n33 - n13 * n21 * n34 + n11 * n23 * n34;
te[2] = n22 * n34 * n41 - n24 * n32 * n41 + n24 * n31 * n42 - n21 * n34 * n42 - n22 * n31 * n44 + n21 * n32 * n44;
te[6] = n14 * n32 * n41 - n12 * n34 * n41 - n14 * n31 * n42 + n11 * n34 * n42 + n12 * n31 * n44 - n11 * n32 * n44;
te[10] = n12 * n24 * n41 - n14 * n22 * n41 + n14 * n21 * n42 - n11 * n24 * n42 - n12 * n21 * n44 + n11 * n22 * n44;
te[14] = n14 * n22 * n31 - n12 * n24 * n31 - n14 * n21 * n32 + n11 * n24 * n32 + n12 * n21 * n34 - n11 * n22 * n34;
te[3] = n23 * n32 * n41 - n22 * n33 * n41 - n23 * n31 * n42 + n21 * n33 * n42 + n22 * n31 * n43 - n21 * n32 * n43;
te[7] = n12 * n33 * n41 - n13 * n32 * n41 + n13 * n31 * n42 - n11 * n33 * n42 - n12 * n31 * n43 + n11 * n32 * n43;
te[11] = n13 * n22 * n41 - n12 * n23 * n41 - n13 * n21 * n42 + n11 * n23 * n42 + n12 * n21 * n43 - n11 * n22 * n43;
te[15] = n12 * n23 * n31 - n13 * n22 * n31 + n13 * n21 * n32 - n11 * n23 * n32 - n12 * n21 * n33 + n11 * n22 * n33;
var det = n11 * te[0] + n21 * te[4] + n31 * te[8] + n41 * te[12];
if (det == 0) throw new InvalidOperationException("Can't invert matrix, determinant is 0");
res.Multiply(1 / det);
return res;
}
public void MultiplyToArray(Matrix4 a, Matrix4 b, ref float[] r)
{
var te = this.elements;
MultiplyMatrices(a, b);
r[0] = te[0]; r[1] = te[1]; r[2] = te[2]; r[3] = te[3];
r[4] = te[4]; r[5] = te[5]; r[6] = te[6]; r[7] = te[7];
r[8] = te[8]; r[9] = te[9]; r[10] = te[10]; r[11] = te[11];
r[12] = te[12]; r[13] = te[13]; r[14] = te[14]; r[15] = te[15];
}
//Set this matrix as the normal matrix of the passed matrix4. The normal matrix is the inverse transpose of the matrix.
public static Matrix3 GetNormalMatrix(Matrix4 m)
{
var res = Matrix3.GetInverse(m);
res.Transpose();
return res;
}
public Object3D()
{
matrixWorld = Matrix4.Identity;
}
public void Multiply(Matrix4 m)
{
MultiplyMatrices(this, m);
}