GeometryRayTestResult Intersects(const Sphere& Ball, const Ray& Cast)
{
// Code in this function is based on the equivalent in Ogre
const Vector3 CastDir = Cast.GetNormal();
const Vector3 CastOrigin = Cast.GetOrigin() - Ball.Center; // Makes math easier to do this in sphere local coordinates
const Real Radius = Ball.Radius;
// Build coefficients for our formula
// t = (-b +/- sqrt(b*b + 4ac)) / 2a
Real ACoEff = CastDir.DotProduct(CastDir);
Real BCoEff = 2 * CastOrigin.DotProduct(CastDir);
Real CCoEff = CastOrigin.DotProduct(CastOrigin) - ( Radius * Radius );
// Get the Determinate
Real Determinate = ( BCoEff * BCoEff ) - ( 4 * ACoEff * CCoEff );
if( Determinate < 0 ) {
return GeometryRayTestResult(false,Ray());
}else{
Real NearDist = ( -BCoEff - MathTools::Sqrt( Determinate ) ) / ( 2 * ACoEff );
Real FarDist = ( -BCoEff + MathTools::Sqrt( Determinate ) ) / ( 2 * ACoEff );
Ray Ret( Cast.GetOrigin() + (CastDir * NearDist), Cast.GetOrigin() + (CastDir * FarDist) );
return GeometryRayTestResult(true,Ret);
}
}
float Ray::HitDistance(const Sphere& sphere) const
{
Vector3 centeredOrigin = origin_ - sphere.center_;
float squaredRadius = sphere.radius_ * sphere.radius_;
// Check if ray originates inside the sphere
if (centeredOrigin.LengthSquared() <= squaredRadius)
return 0.0f;
// Calculate intersection by quadratic equation
float a = direction_.DotProduct(direction_);
float b = 2.0f * centeredOrigin.DotProduct(direction_);
float c = centeredOrigin.DotProduct(centeredOrigin) - squaredRadius;
float d = b * b - 4.0f * a * c;
// No solution
if (d < 0.0f)
return M_INFINITY;
// Get the nearer solution
float dSqrt = sqrtf(d);
float dist = (-b - dSqrt) / (2.0f * a);
if (dist >= 0.0f)
return dist;
else
return (-b + dSqrt) / (2.0f * a);
}
//---------------------------
//
//---------------------------
void Matrix44::SetView( const Vector3& vPos, const Vector3& vDir_, const Vector3& vUp_ )
{
Vector3 vDir;
Vector3 vUp;
Vector3 vCross;
vDir = vDir_.Normal();
vCross = vUp_.CrossProduct( vDir );
vCross.Normalize();
vUp = vDir.CrossProduct( vCross );
_11 = vCross.x;
_12 = vUp.x;
_13 = vDir.x;
_14 = 0.0F;
_21 = vCross.y;
_22 = vUp.y;
_23 = vDir.y;
_24 = 0.0F;
_31 = vCross.z;
_32 = vUp.z;
_33 = vDir.z;
_34 = 0.0F;
_41 = -vPos.DotProduct( vCross );
_42 = -vPos.DotProduct( vUp );
_43 = -vPos.DotProduct( vDir );
_44 = 1.0F;
} //Matrix44::SetView
void Matrix44::SetView( const Vector3& pos, const Vector3& dir0, const Vector3& up0 )
{
Vector3 vDir;
Vector3 vUp;
Vector3 vCross;
vDir = dir0.Normal();
vCross = up0.CrossProduct( vDir );
vCross.Normalize();
vUp = vDir.CrossProduct( vCross );
_11 = vCross.x;
_12 = vUp.x;
_13 = vDir.x;
_14 = 0.0f;
_21 = vCross.y;
_22 = vUp.y;
_23 = vDir.y;
_24 = 0.0f;
_31 = vCross.z;
_32 = vUp.z;
_33 = vDir.z;
_34 = 0.0f;
_41 = -pos.DotProduct( vCross );
_42 = -pos.DotProduct( vUp );
_43 = -pos.DotProduct( vDir );
_44 = 1.0f;
}
/**
* @brief
* Calculate the intersection of a ray and a triangle
*/
dFloat BodyTerrain::RayCastTriangle(const Vector3 &p0, const Vector3 &dp, const Vector3 &origin, const Vector3 &e1, const Vector3 &e2)
{
dFloat t;
dFloat b0;
dFloat b1;
dFloat b00;
dFloat b11;
dFloat a00;
dFloat a10;
dFloat a11;
dFloat det;
dFloat dot;
dFloat tol;
// Clip line again first triangle
Vector3 normal(e2.CrossProduct(e1));
dot = normal.DotProduct(dp);
if (dot <= 1.0e-6f) {
t = ((origin - p0).DotProduct(normal)) / dot;
if (t > 0.0f) {
if (t < 1.0f) {
Vector3 q = p0 + dp*t;
a00 = e1.DotProduct(e1);
a11 = e2.DotProduct(e2);
a10 = e1.DotProduct(e2);
det = a00*a11 - a10*a10;
// det must be positive and different than zero
// _ASSERTE(det > 0.0f);
Vector3 q0p0 = q - origin;
b0 = q0p0.DotProduct(e1);
b1 = q0p0.DotProduct(e2);
tol = -det*1.0e-3f;
b00 = b0*a11 - b1*a10;
if (b00 >= tol) {
b11 = b1*a00 - b0*a10;
if (b11 >= tol) {
if ((b00 + b11) <= (det*1.001f)) {
// Found a hit return this value
return t;
}
}
}
}
}
}
// If it come here the there no intersection
return 1.2f;
}
void IK::DefineM(const Vector3 p, const Vector3 d)
{
Vector3 mX,mY,mZ;
// Minv defines a coordinate system whose x axis contains P, so X = unit(P).
mX = p.Normalized();
// The y axis of Minv is perpendicular to P, so Y = unit( D - X(D·X) ).
float dDOTx = d.DotProduct(mX);
mY.x_ = d.x_ - dDOTx * mX.x_;
mY.y_ = d.y_ - dDOTx * mX.y_;
mY.z_ = d.z_ - dDOTx * mX.z_;
mY.Normalize();
// The z axis of Minv is perpendicular to both X and Y, so Z = X×Y.
mZ=mX.CrossProduct(mY);
Minv = Matrix3(mX.x_,mX.y_,mX.z_,mY.x_,mY.y_,mY.z_,mZ.x_,mZ.y_,mZ.z_);
//Minv = Minv.Transpose();
Mfwd = Minv.Transpose();
// Mfwd = (Minv)T, since transposing inverts a rotation matrix.
}
Vector3 Vector3::Refract(const Vector3& n, double r_coeff) const
{
Vector3 result;
//TODO: Calculate the refraction of this vector given the input normal n and the refractive coefficient r_index
//Store the result in result
//Refraction is governed by the Snell's law
// DONE
double cosI = n.DotProduct(*this) * -1;
// if cosI is negative then the normal is pointing the wrong way
if (cosI < 0)
{
cosI *= -1;
}
double sinT2 = r_coeff * r_coeff * (1.0 - cosI * cosI);
double cosT = sqrt(1.0 - sinT2);
result = *this * r_coeff + n * (r_coeff * cosI - cosT);
return result;
}
void Quaternion::FromRotationTo(const Vector3& start, const Vector3& end)
{
Vector3 normStart = start.Normalized();
Vector3 normEnd = end.Normalized();
float d = normStart.DotProduct(normEnd);
if (d > -1.0f + M_EPSILON)
{
Vector3 c = normStart.CrossProduct(normEnd);
float s = sqrtf((1.0f + d) * 2.0f);
float invS = 1.0f / s;
x_ = c.x_ * invS;
y_ = c.y_ * invS;
z_ = c.z_ * invS;
w_ = 0.5f * s;
}
else
{
Vector3 axis = Vector3::RIGHT.CrossProduct(normStart);
if (axis.Length() < M_EPSILON)
axis = Vector3::UP.CrossProduct(normStart);
FromAngleAxis(180.f, axis);
}
}
void OptimizeLigandGeomety(Conformer& ligand, double chi_increment, std::vector<double> chi_stdev, std::string lp_atom,
double unit_cell_length, double angle_tolerance, std::string output_dir) {
if (ligand.parent()->conformer_states() == NULL)
Log->error(FLERR, "There are no conformer states for the ligand!");
const std::vector<Linkage<std::string> >& chi_names = ligand.parent()->conformer_states()->degrees_of_freedom();
std::vector<double> chi_values = GetChiValues(ligand);
//adjust chi to values between [0, 360]
for (size_t i = 0; i < chi_values.size(); ++i) {
chi_values[i] = (chi_values[i] < 0 ? chi_values[i] += 360 : chi_values[i]);
}
//loop through the possible chi angles, filling the ligand geometry map
std::map<std::vector<double>, std::vector<double> > ligand_geometry;
for(double chi1 = floor(chi_values[0] - chi_stdev[0]); chi1 < ceil(chi_values[0] + chi_stdev[0]); chi1 += chi_increment) {
for(double chi2 = floor(chi_values[1] - chi_stdev[1]); chi2 < ceil(chi_values[1] + chi_stdev[1]); chi2 += chi_increment) {
ligand.AdjustLinkage(chi_names[0], chi1);
ligand.AdjustLinkage(chi_names[1], chi2);
std::vector<double> chis;
chis.push_back(chi1);
chis.push_back(chi2);
Vector3 v = CalculateLonePairDirection(ligand, lp_atom);
//Calculate the dot product of v and z axis unit vector
//cos(q) = v*w / (|v|*|w|)
double angle_z = RADIANS_TO_DEGREES * acos(v.DotProduct(Vector3(0, 0, 1)) / v.Length());
//Calculate the dot product of v and the vector from the N to the metal (where the C4 symmetry axis is)
Atom* N = ligand.Find(lp_atom);
Vector3 N_metal(unit_cell_length - N->x(), - N->y(), 0);
double angle_metal = RADIANS_TO_DEGREES * acos(v.DotProduct(N_metal) / (v.Length() * N_metal.Length()));
if ((angle_z < (90.0 + angle_tolerance) && angle_z > (90.0 - angle_tolerance)) && (angle_metal < angle_tolerance)) {
ligand_geometry[chis].push_back(angle_z);
ligand_geometry[chis].push_back(angle_metal);
//OutputStructure(ligand.parent()->parent()->parent()->parent()->parent()->parent(), chis, lp_atom, output_dir);
Log->print("Optimized Cu binding PDB with chi1 " + Log->to_str(chi1) + ", chi2 " + Log->to_str(chi2));
OutputLatticeStructure(ligand.parent()->parent()->parent()->parent()->parent()->parent(), chis, unit_cell_length, lp_atom, output_dir);
}
}
}
OutputStat(ligand_geometry, lp_atom, output_dir);
}
Matrix4& Matrix4::LookAtLH( const Vector3& eye, const Vector3& at, const Vector3& up )
{
Vector3 zaxis = at - eye;
zaxis.Normalize();
Vector3 nup = up;
nup.Normalize();
Vector3 xaxis = zaxis.CrossProduct( nup );
Vector3 yaxis = xaxis.CrossProduct( zaxis );
A[0][0] = xaxis.X; A[1][0] = xaxis.Y; A[2][0] = xaxis.Z; A[3][0] = 0.0f;
A[0][1] = yaxis.X; A[1][1] = yaxis.Y; A[2][1] = yaxis.Z; A[3][1] = 0.0f;
A[0][2] = zaxis.X; A[1][2] = zaxis.Y; A[2][2] = zaxis.Z; A[3][2] = 0.0f;
A[0][3] = -xaxis.DotProduct( eye ); A[1][3] = -yaxis.DotProduct( eye ); A[2][3] = -zaxis.DotProduct( eye ); A[3][3] = 1.0f;
return *this;
}
bool Plane3::isPointOnPlane( const Vector3& pointToCheck ) const
{
if( pointToCheck.DotProduct( normal ) == distanceFromOrigin )
{
return true;
}
return false;
}
bool Collider::Check(const OrientedBoundingBox2D &OBB2D, const Sphere &SP)
{
Vector3 pt = OBB2D.ClosestPoint(SP.position);
Vector3 v = pt - SP.position;
return v.DotProduct(v) <= SP.radious*SP.radious;
}
Vector3 CalculateLonePairDirection(Conformer& ligand, std::string LP_atom) {
Atom* NE = ligand.Find("NE2");
Atom* ND = ligand.Find("ND1");
Atom* CG = ligand.Find("CG");
Atom* CD = ligand.Find("CD2");
Atom* CE = ligand.Find("CE1");
if (NE == NULL || ND == NULL || CG == NULL || CD == NULL || CE == NULL)
Log->error(FLERR, "Check the atom names in the ligand");
Vector3 v;
if (LP_atom == "NE2") {
//define theta
Vector3 r1(*CE, *NE);
Vector3 r2(*CD, *NE);
double theta = acos(r1.DotProduct(r2) / (r1.Length() * r2.Length()));
//define gamma, gamma = 0.5 * theta
Point middle;
double a = 0.49969;
middle.set_x(a * ND->x() + (1 - a) * CG->x());
middle.set_y(a * ND->y() + (1 - a) * CG->y());
middle.set_z(a * ND->z() + (1 - a) * CG->z());
v = Vector3(middle, *NE);
double gamma = acos(v.DotProduct(r2) / (v.Length() * r2.Length()));
} else if (LP_atom == "ND1") {
//define theta
Vector3 r1(*CE, *ND);
Vector3 r2(*CG, *ND);
double theta = acos(r1.DotProduct(r2) / (r1.Length() * r2.Length()));
//define gamma, gamma = 0.5 * theta
Point middle;
double a = 0.495;
middle.set_x(a * NE->x() + (1 - a) * CD->x());
middle.set_y(a * NE->y() + (1 - a) * CD->y());
middle.set_z(a * NE->z() + (1 - a) * CD->z());
v = Vector3(middle, *ND);
double gamma = acos(v.DotProduct(r2) / (v.Length() * r2.Length()));
}
return v;
}
void Quaternion::SetRotationArc(const Vector3& v0, const Vector3& v1, const Vector3 &norm)
{
Vector3 vCross = v0.CrossProduct(v1);
const float len = vCross.Length();
if (len <= 0.01f)
{
// v0 - v1 벡터가 정확히 반대 방향이거나, 정확히 같은 방향을 가르킬때,
// 두 벡터에 직교하는 벡터 norm 에서 180도 회전하거나, 회전하지 않거나
// 결정한다.
*this = Quaternion(norm, v0.DotProduct(v1) > 0 ? 0 : MATH_PI);
return;
}
float fDot = v0.DotProduct(v1);
float s = (float)sqrtf((1.0f + fDot) * 2.0f);
x = vCross.x / s;
y = vCross.y / s;
z = vCross.z / s;
w = s * 0.5f;
} //Quaternion::SetRotationArc
// ----------------------------------------------------------------------------
Vector3 Face::Intersect(const Vector3& origin, const Vector3& direction) const
{
#define NO_INTERSECTION Vector3(-1, -1, -1)
#define DO_CULL 0
// Algorithm taken from:
// "Fast, Minimum Storage Ray/Triangle Intersection"
// See doc/research/
Vector3 edge1 = vertex_[1]->position_ - vertex_[0]->position_;
Vector3 edge2 = vertex_[2]->position_ - vertex_[0]->position_;
Vector3 p = direction.CrossProduct(edge2);
float determinant = p.DotProduct(edge1);
#if DO_CULL
if(determinant == 0.0f)
return NO_INTERSECTION;
#endif
Vector3 ray = origin - vertex_[0]->position_;
float u = p.DotProduct(ray);
#if DO_CULL
if(u < 0.0f || u > determinant)
return NO_INTERSECTION;
#endif
Vector3 q = ray.CrossProduct(edge1);
float v = q.DotProduct(direction);
#if DO_CULL
if(v < 0.0f || v > determinant)
return NO_INTERSECTION;
#endif
determinant = 1.0f / determinant;
u *= determinant;
v *= determinant;
return Vector3(1.0f - u - v, u, v);
}
Colour RayTracer::CalculateSpecularLighting(Vector3 &surfacePoint, Vector3 &surfaceNormal, Vector3 &lightPosition, Vector3 &cameraPosition, Light &light, Material &material)
{
Colour specular;
Vector3 halfVector = Vector3::HalfVector(cameraPosition, surfacePoint, lightPosition);
double angle = halfVector.DotProduct(surfaceNormal);
double power = powf(angle, material.GetSpecPower());
specular.red = light.GetLightColour().red * material.GetSpecularColour().red * power;
specular.green = light.GetLightColour().green * material.GetSpecularColour().green * power;
specular.blue = light.GetLightColour().blue * material.GetSpecularColour().blue * power;
return specular;
}
Colour RayTracer::CalculateDiffuseLighting(Vector3 &lightNormal, Vector3 &surfaceNormal, Light &light, Material &material)
{
Colour diffuse;
double angle = lightNormal.DotProduct(surfaceNormal);
if (angle > 0.0)
{
diffuse.red = light.GetLightColour().red * material.GetDiffuseColour().red * angle;
diffuse.green = light.GetLightColour().red * material.GetDiffuseColour().green * angle;
diffuse.blue = light.GetLightColour().red * material.GetDiffuseColour().blue * angle;
}
return diffuse;
}
VCNBool VCNRay::Intersects( const VCNSphere& sphere, VCNFloat& t ) const
{
Vector3 w = sphere.GetCenter() - m_vcOrig;
VCNFloat c = w.Length();
VCNFloat v = w.DotProduct(m_vcDir);
VCNFloat d = (sphere.GetRadius() * sphere.GetRadius()) - (c*c - v*v);
t = -1.0f;
// If there was no intersection, return -1
if (d < 0.0f)
return false;
// Return the distance to the [first] intersecting point
t = v - sqrt(d);
return true;
}
//! test a sphere against the frustum
Frustum::E_TestResult Frustum::Test(const Vector3& vCenter, f32 fRadius) const
{
for(u32 i=0; i<P_Count; ++i)
{
f32 fDist = vCenter.DotProduct(m_Planes[i].Normal) - m_Planes[i].D;
if(fDist > fRadius)
{
return TR_Out;
}
if(Math::FAbs(fDist) < fRadius)
{
return TR_Intersect;
}
}
return TR_In;
}
//! returns the closest point on a line segment [A B]
Vector3 Math::GetClosestPointOnLine(const Vector3& vPoint, const Vector3& vA, const Vector3& vB)
{
Vector3 vC = vPoint-vA;
Vector3 vD = vB-vA;
float fLength = vD.GetLength();
vD = vD / fLength;
float t = vD.DotProduct(vC);
if(t < 0.0f)
{
return vA;
}
else if(t > fLength)
{
return vB;
}
return vA + vD*t;
}
//--------------------------------
//
//--------------------------------
void Quaternion::SetRotationArc( const Vector3& v0, const Vector3& v1 )
{
Vector3 vCross = v0.CrossProduct( v1 );
float fDot = v0.DotProduct( v1 );
float s = (float)sqrt( ( 1.0F + fDot ) * 2.0F );
if( 0.1f > s )
{
x = 0;
y = 1;
z = 0;
w = 0;
return;
}
x = vCross.x / s;
y = vCross.y / s;
z = vCross.z / s;
w = s * 0.5F;
} //Quaternion::SetRotationArc
// 광선 orig, dir 에 충돌된 면이 있다면 true 를 리턴하고, 충돌 위치를 out에
// 저장해서 리턴한다.
bool cGrid2::Pick( const Vector3 &orig, const Vector3 &dir, Vector3 &out )
{
bool isFirst = true;
sVertexNormTex *vertices = (sVertexNormTex*)m_vtxBuff.Lock();
WORD *indices = (WORD*)m_idxBuff.Lock();
RETV(!vertices || !indices, false);
for (int i=0; i < m_idxBuff.GetFaceCount()*3; i+=3)
{
const Vector3 &p1 = vertices[ indices[ i]].p;
const Vector3 &p2 = vertices[ indices[ i+1]].p;
const Vector3 &p3 = vertices[ indices[ i+2]].p;
const Triangle tri(p1, p2, p3);
const Plane p(p1, p2, p3);
const float dot = dir.DotProduct( p.N );
if (dot >= 0)
continue;
float t;
if (tri.Intersect(orig, dir, &t))
{
if (isFirst)
{
isFirst = false;
out = orig + dir * t;
}
else
{
const Vector3 v = orig + dir * t;
if (orig.LengthRoughly(v) < orig.LengthRoughly(out))
out = v;
}
}
}
m_vtxBuff.Unlock();
m_idxBuff.Unlock();
return !isFirst;
}
void CollisionShape2D::OnMarkedDirty(Node* node)
{
Vector3 newWorldScale = node_->GetWorldScale();
Vector3 delta = newWorldScale - cachedWorldScale_;
if (delta.DotProduct(delta) < 0.01f)
return;
// Physics operations are not safe from worker threads
Scene* scene = GetScene();
if (scene && scene->IsThreadedUpdate())
{
scene->DelayedMarkedDirty(this);
return;
}
cachedWorldScale_ = newWorldScale;
if (fixture_)
ApplyNodeWorldScale();
}
//--------------------------------
//
//--------------------------------
void Quaternion::SetRotationArc( const Vector3& v0, const Vector3& v1 )
{
Vector3 vCross = v0.CrossProduct(v1);
const float len = vCross.Length();
if (len <= 0.01f)
{
x = 0; y = 0; z = 0; w = 1;
return;
}
float fDot = v0.DotProduct( v1 );
float s = (float)sqrtf((1.0f + fDot) * 2.0f);
//if (0.1f > s)
//{
// x = 0; y = 1; z = 0; w = 0;
// return;
//}
x = vCross.x / s;
y = vCross.y / s;
z = vCross.z / s;
w = s * 0.5f;
} //Quaternion::SetRotationArc
//THIS NEEDS TESTING MAJORLY
void Sphere::ResolveCollision(Sphere& rhs, const float& time){
//Calculate the depth of the penetration
float penDepth = this->radius + rhs.radius - this->position.GetDistance(rhs.position);
//Calculate the contact normal
Vector3 conNormal = (this->position - rhs.position).GetNormalised();
//Calculate the point of contact
Vector3 conPoint = this->position - conNormal * (this->radius - penDepth);
//Calculate the rough combined elasticity of the two spheres in
//the collision. An application of the smoke and mirrors technique!
float elasticity = (this->elasticity + rhs.elasticity) * 0.5f;
//Calculate the velocities of both spheres
Vector3 va = this->getVelocity(time);
Vector3 vb = rhs.getVelocity(time);
//Calculate the Vn of the collision
float veloNormal = (va - vb).DotProduct(conNormal);
//Calculate the impulse of the collision
float impulse = ( -(1 + elasticity) * veloNormal ) / conNormal.DotProduct(conNormal * ( (1 / this->mass) + (1 / rhs.mass) ));
//Calculate the resultant velocties of the collision
Vector3 vaAfter = va + ((impulse/this->mass) * conNormal);
Vector3 vbAfter = vb - ((impulse/rhs.mass) * conNormal);
//Translate the shapes out of contact with each other
this->translate(conNormal * (penDepth*0.5f));
rhs.translate(0.0f - (conNormal * (penDepth*0.5f)));
//Apply the calculated velocties to them
this->setVelocity(vaAfter, time);
rhs.setVelocity(vbAfter, time);
}
//! 3D sphere vs ray intersection check
bool CollisionUtils::SphereIntersectsWithRay(const Vector3& vCenter, f32 fRadius, const Vector3& vRayStart, const Vector3& vRayDir, f32* fRayLength /*= 0*/, f32* fDistToIntersection /*= 0*/)
{
Vector3 vToSphere = vCenter-vRayStart;
f32 fDist = vToSphere.GetLength();
f32 fV = vToSphere.DotProduct(vRayDir);
f32 fD = fRadius*fRadius - (fDist*fDist - fV*fV);
f32 _fDistToIntersection = fV - Math::SquareRoot(fD);
if(fD < 0.0f || _fDistToIntersection < 0.0f)
{
return false;
}
if(fRayLength && (*fRayLength < _fDistToIntersection))
{
return false;
}
if(fDistToIntersection)
{
*fDistToIntersection = _fDistToIntersection;
}
return true;
}
/**
* @brief
* Called when the scene node needs to be updated
*/
void PGLeaf::OnUpdate()
{
// If this scene node wasn't drawn at the last frame, we can skip some update stuff
if ((GetFlags() & ForceUpdate) || m_bUpdate) {
m_bUpdate = false;
// If there are free particles, create new particles
Particle *pParticle = AddParticle();
while (pParticle) {
InitParticle(*pParticle);
// Next particle, please
pParticle = AddParticle();
}
{ // Update particles
float fTimeDiff = Timing::GetInstance()->GetTimeDifference();
Iterator<Particle> cIterator = GetParticleIterator();
while (cIterator.HasNext()) {
Particle &cParticle = cIterator.Next();
// Update forces
// One: gravity
cParticle.vVelocity[1] -= fTimeDiff*(cParticle.vPos[1]-FloorHeight)/5;
// Two wind (dot wind vector normal)
Vector3 vRot;
EulerAngles::FromQuaternion(*cParticle.pRot, vRot.x, vRot.y, vRot.z);
vRot.x *= static_cast<float>(Math::RadToDeg);
vRot.y *= static_cast<float>(Math::RadToDeg);
vRot.z *= static_cast<float>(Math::RadToDeg);
cParticle.vVelocity += Wind.Get()*fTimeDiff*Math::Abs(vRot.DotProduct(Wind.Get()));
// Four collision (just check whether leaf would end up on wrong side)
if (cParticle.vPos.y + cParticle.vVelocity.y*fTimeDiff < FloorHeight) {
// Random bouncy and some friction
cParticle.vVelocity.y *= -1.0;
cParticle.vVelocity.z *= Math::GetRandNegFloat();
cParticle.vVelocity.x *= Math::GetRandNegFloat();
cParticle.nCustom1 = ((static_cast<int>(Math::GetRandNegFloat()*255.0f*8.0f))<<8) | (cParticle.nCustom1&0xff);
}
// Five check whether particle has left area and can die... if it is outside, let it die
float fDistx = GetTransform().GetPosition().x - cParticle.vPos.x;
float fDisty = GetTransform().GetPosition().z - cParticle.vPos.z;
float fDistToCenter = fDistx*fDistx + fDisty*fDisty;
uint32 nStart = cParticle.nCustom1 & 0xff;
if (nStart < 0xff) { // It is being spawned
nStart += static_cast<uint32>(fTimeDiff*512.0f + 0.5f);
if (nStart > 0xff)
nStart = 0xff; // Clamp
cParticle.nCustom1 = (cParticle.nCustom1&0xffffff00)|nStart; // Write to lower 8 bits
}
if (fDistToCenter > Radius*Radius) {
// Start dying... set alpha according to how far it is away
fDistToCenter = 255 - (Math::Sqrt(fDistToCenter) - Radius)*3.0f;
cParticle.fSize = static_cast<float>(static_cast<int>(fDistToCenter*(cParticle.nCustom1 & 0xff))>>8)/255*cParticle.fCustom1;
if (cParticle.fSize < 0.2f)
InitParticle(cParticle);
} else {
cParticle.fSize = static_cast<float>(cParticle.nCustom1 &0xff)/255*cParticle.fCustom1;
}
// Update position
cParticle.vPos += cParticle.vVelocity*fTimeDiff*cParticle.fSize/2;
// Update spin
Vector3 vAxis = cParticle.vVelocity;
vAxis.SetLength(1);
// Transform normal and distortion
vAxis *= ((static_cast<float>(cParticle.nCustom1>>8))/255.0f)*fTimeDiff/10;
Quaternion qRotInc;
EulerAngles::ToQuaternion(static_cast<float>(vAxis.x*Math::DegToRad), static_cast<float>(vAxis.y*Math::DegToRad), static_cast<float>(vAxis.z*Math::DegToRad), qRotInc);
*cParticle.pRot *= qRotInc;
Vector3 d = cParticle.vDistortion;
d.SetLength(cParticle.fSize);
cParticle.vDistortion = (*cParticle.pRot)*d;
// Update color
EulerAngles::FromQuaternion(*cParticle.pRot, vRot.x, vRot.y, vRot.z);
vRot.x *= static_cast<float>(Math::RadToDeg);
vRot.y *= static_cast<float>(Math::RadToDeg);
vRot.z *= static_cast<float>(Math::RadToDeg);
vAxis = vRot.Normalize();
fDistx = vAxis.x+vAxis.y*2+vAxis.z*3;
if (fDistx > 1.0f)
fDistx = 1.0f;
if (fDistx < 0.5f)
fDistx = 0.5f;
cParticle.vColor[0] = cParticle.vFixPos.x*fDistx;
cParticle.vColor[1] = cParticle.vFixPos.y*fDistx;
cParticle.vColor[2] = cParticle.vFixPos.z*fDistx;
}
void Terrain::CreatePatchGeometry(TerrainPatch* patch)
{
URHO3D_PROFILE(CreatePatchGeometry);
unsigned row = (unsigned)(patchSize_ + 1);
VertexBuffer* vertexBuffer = patch->GetVertexBuffer();
Geometry* geometry = patch->GetGeometry();
Geometry* maxLodGeometry = patch->GetMaxLodGeometry();
Geometry* occlusionGeometry = patch->GetOcclusionGeometry();
if (vertexBuffer->GetVertexCount() != row * row)
vertexBuffer->SetSize(row * row, MASK_POSITION | MASK_NORMAL | MASK_TEXCOORD1 | MASK_TANGENT);
SharedArrayPtr<unsigned char> cpuVertexData(new unsigned char[row * row * sizeof(Vector3)]);
SharedArrayPtr<unsigned char> occlusionCpuVertexData(new unsigned char[row * row * sizeof(Vector3)]);
float* vertexData = (float*)vertexBuffer->Lock(0, vertexBuffer->GetVertexCount());
float* positionData = (float*)cpuVertexData.Get();
float* occlusionData = (float*)occlusionCpuVertexData.Get();
BoundingBox box;
unsigned occlusionLevel = occlusionLodLevel_;
if (occlusionLevel > numLodLevels_ - 1)
occlusionLevel = numLodLevels_ - 1;
if (vertexData)
{
const IntVector2& coords = patch->GetCoordinates();
int lodExpand = (1 << (occlusionLevel)) - 1;
int halfLodExpand = (1 << (occlusionLevel)) / 2;
for (int z = 0; z <= patchSize_; ++z)
{
for (int x = 0; x <= patchSize_; ++x)
{
int xPos = coords.x_ * patchSize_ + x;
int zPos = coords.y_ * patchSize_ + z;
// Position
Vector3 position((float)x * spacing_.x_, GetRawHeight(xPos, zPos), (float)z * spacing_.z_);
*vertexData++ = position.x_;
*vertexData++ = position.y_;
*vertexData++ = position.z_;
*positionData++ = position.x_;
*positionData++ = position.y_;
*positionData++ = position.z_;
box.Merge(position);
// For vertices that are part of the occlusion LOD, calculate the minimum height in the neighborhood
// to prevent false positive occlusion due to inaccuracy between occlusion LOD & visible LOD
float minHeight = position.y_;
if (halfLodExpand > 0 && (x & lodExpand) == 0 && (z & lodExpand) == 0)
{
int minX = Max(xPos - halfLodExpand, 0);
int maxX = Min(xPos + halfLodExpand, numVertices_.x_ - 1);
int minZ = Max(zPos - halfLodExpand, 0);
int maxZ = Min(zPos + halfLodExpand, numVertices_.y_ - 1);
for (int nZ = minZ; nZ <= maxZ; ++nZ)
{
for (int nX = minX; nX <= maxX; ++nX)
minHeight = Min(minHeight, GetRawHeight(nX, nZ));
}
}
*occlusionData++ = position.x_;
*occlusionData++ = minHeight;
*occlusionData++ = position.z_;
// Normal
Vector3 normal = GetRawNormal(xPos, zPos);
*vertexData++ = normal.x_;
*vertexData++ = normal.y_;
*vertexData++ = normal.z_;
// Texture coordinate
Vector2 texCoord((float)xPos / (float)numVertices_.x_, 1.0f - (float)zPos / (float)numVertices_.y_);
*vertexData++ = texCoord.x_;
*vertexData++ = texCoord.y_;
// Tangent
Vector3 xyz = (Vector3::RIGHT - normal * normal.DotProduct(Vector3::RIGHT)).Normalized();
*vertexData++ = xyz.x_;
*vertexData++ = xyz.y_;
*vertexData++ = xyz.z_;
*vertexData++ = 1.0f;
}
}
vertexBuffer->Unlock();
vertexBuffer->ClearDataLost();
}
patch->SetBoundingBox(box);
if (drawRanges_.Size())
{
unsigned occlusionDrawRange = occlusionLevel << 4;
geometry->SetIndexBuffer(indexBuffer_);
geometry->SetDrawRange(TRIANGLE_LIST, drawRanges_[0].first_, drawRanges_[0].second_, false);
geometry->SetRawVertexData(cpuVertexData, MASK_POSITION);
maxLodGeometry->SetIndexBuffer(indexBuffer_);
maxLodGeometry->SetDrawRange(TRIANGLE_LIST, drawRanges_[0].first_, drawRanges_[0].second_, false);
maxLodGeometry->SetRawVertexData(cpuVertexData, MASK_POSITION);
occlusionGeometry->SetIndexBuffer(indexBuffer_);
occlusionGeometry->SetDrawRange(TRIANGLE_LIST, drawRanges_[occlusionDrawRange].first_, drawRanges_[occlusionDrawRange].second_, false);
occlusionGeometry->SetRawVertexData(occlusionCpuVertexData, MASK_POSITION);
}
patch->ResetLod();
}
void DecalSet::GetFace(Vector<PODVector<DecalVertex> >& faces, Drawable* target, unsigned batchIndex, unsigned i0, unsigned i1,
unsigned i2, const unsigned char* positionData, const unsigned char* normalData, const unsigned char* skinningData,
unsigned positionStride, unsigned normalStride, unsigned skinningStride, const Frustum& frustum, const Vector3& decalNormal,
float normalCutoff)
{
bool hasNormals = normalData != 0;
bool hasSkinning = skinned_ && skinningData != 0;
const Vector3& v0 = *((const Vector3*)(&positionData[i0 * positionStride]));
const Vector3& v1 = *((const Vector3*)(&positionData[i1 * positionStride]));
const Vector3& v2 = *((const Vector3*)(&positionData[i2 * positionStride]));
// Calculate unsmoothed face normals if no normal data
Vector3 faceNormal = Vector3::ZERO;
if (!hasNormals)
{
Vector3 dist1 = v1 - v0;
Vector3 dist2 = v2 - v0;
faceNormal = (dist1.CrossProduct(dist2)).Normalized();
}
const Vector3& n0 = hasNormals ? *((const Vector3*)(&normalData[i0 * normalStride])) : faceNormal;
const Vector3& n1 = hasNormals ? *((const Vector3*)(&normalData[i1 * normalStride])) : faceNormal;
const Vector3& n2 = hasNormals ? *((const Vector3*)(&normalData[i2 * normalStride])) : faceNormal;
const unsigned char* s0 = hasSkinning ? &skinningData[i0 * skinningStride] : (const unsigned char*)0;
const unsigned char* s1 = hasSkinning ? &skinningData[i1 * skinningStride] : (const unsigned char*)0;
const unsigned char* s2 = hasSkinning ? &skinningData[i2 * skinningStride] : (const unsigned char*)0;
// Check if face is too much away from the decal normal
if (decalNormal.DotProduct((n0 + n1 + n2) / 3.0f) < normalCutoff)
return;
// Check if face is culled completely by any of the planes
for (unsigned i = PLANE_FAR; i < NUM_FRUSTUM_PLANES; --i)
{
const Plane& plane = frustum.planes_[i];
if (plane.Distance(v0) < 0.0f && plane.Distance(v1) < 0.0f && plane.Distance(v2) < 0.0f)
return;
}
faces.Resize(faces.Size() + 1);
PODVector<DecalVertex>& face = faces.Back();
if (!hasSkinning)
{
face.Reserve(3);
face.Push(DecalVertex(v0, n0));
face.Push(DecalVertex(v1, n1));
face.Push(DecalVertex(v2, n2));
}
else
{
const float* bw0 = (const float*)s0;
const float* bw1 = (const float*)s1;
const float* bw2 = (const float*)s2;
const unsigned char* bi0 = s0 + sizeof(float) * 4;
const unsigned char* bi1 = s1 + sizeof(float) * 4;
const unsigned char* bi2 = s2 + sizeof(float) * 4;
unsigned char nbi0[4];
unsigned char nbi1[4];
unsigned char nbi2[4];
// Make sure all bones are found and that there is room in the skinning matrices
if (!GetBones(target, batchIndex, bw0, bi0, nbi0) || !GetBones(target, batchIndex, bw1, bi1, nbi1) ||
!GetBones(target, batchIndex, bw2, bi2, nbi2))
return;
face.Reserve(3);
face.Push(DecalVertex(v0, n0, bw0, nbi0));
face.Push(DecalVertex(v1, n1, bw1, nbi1));
face.Push(DecalVertex(v2, n2, bw2, nbi2));
}
}
double DotProduct( Vector3 const& i_lhs, Vector3 const& i_rhs )
{
return i_lhs.DotProduct( i_rhs );
}
