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/*
* ThetaCone.h
*
* Author: Raman Sehgal
*/
#ifndef VECGEOM_VOLUMES_THETACONE_H_
#define VECGEOM_VOLUMES_THETACONE_H_
#include "VecGeom/base/Global.h"
#include "VecGeom/volumes/kernel/GenericKernels.h"
#include <iomanip>
#define kHalfPi 0.5 * kPi
namespace vecgeom {
inline namespace VECGEOM_IMPL_NAMESPACE {
/**
* A class representing a ThetaCone (basically a double cone) which is represented by an angle theta ( 0 < theta < Pi).
*It
*
* The ThetaCone has an "startTheta" and "endTheta" angle. For an angle = 90 degree, the ThetaCone is essentially
* XY plane with circular boundary. Usually the ThetaCone is used to cut out "theta" sections along z-direction.
*
*
* Note: This class is meant as an auxiliary class so it is a bit outside the ordinary volume
* hierarchy.
*
* \ ++++ /
* \ /
* \ /
* \/
* /\
* / \
* / \
* / ++++ \
*
*DistanceToIn and DistanceToOut provides distances with the First and Second ThetaCone in "distThetaCone1" and
*"distThetaCone2" reference variables.
*Reference bool variable "intsect1" and "intsect2" is used to detect the real intersection cone, i.e. whether the point
*really intersects with a ThetaCone or not.
*/
class ThetaCone {
private:
Precision fSTheta; // starting angle
Precision fDTheta; // delta angle
Precision kAngTolerance;
Precision halfAngTolerance;
Precision fETheta; // ending angle
Precision tanSTheta;
Precision tanETheta;
Precision tanBisector;
Precision slope1, slope2;
Precision tanSTheta2;
Precision tanETheta2;
public:
VECCORE_ATT_HOST_DEVICE
ThetaCone(Precision sTheta, Precision dTheta) : fSTheta(sTheta), fDTheta(dTheta), kAngTolerance(kTolerance)
{
// initialize angles
fETheta = fSTheta + fDTheta;
halfAngTolerance = (0.5 * kAngTolerance);
Precision tempfSTheta = fSTheta;
Precision tempfETheta = fETheta;
if (fSTheta > kPi / 2) tempfSTheta = kPi - fSTheta;
if (fETheta > kPi / 2) tempfETheta = kPi - fETheta;
tanSTheta = tan(tempfSTheta);
tanSTheta2 = tanSTheta * tanSTheta;
tanETheta = tan(tempfETheta);
tanETheta2 = tanETheta * tanETheta;
tanBisector = tan(tempfSTheta + (fDTheta / 2));
if (fSTheta > kPi / 2 && fETheta > kPi / 2) tanBisector = tan(tempfSTheta - (fDTheta / 2));
slope1 = tan(kPi / 2 - fSTheta);
slope2 = tan(kPi / 2 - fETheta);
}
VECCORE_ATT_HOST_DEVICE
~ThetaCone() {}
VECCORE_ATT_HOST_DEVICE
Precision GetSlope1() const { return slope1; }
VECCORE_ATT_HOST_DEVICE
Precision GetSlope2() const { return slope2; }
VECCORE_ATT_HOST_DEVICE
Precision GetTanSTheta2() const { return tanSTheta2; }
VECCORE_ATT_HOST_DEVICE
Precision GetTanETheta2() const { return tanETheta2; }
/* Function to calculate normal at a point to the Cone formed at
* by StartTheta.
*
* @inputs : Vector3D : Point at which normal needs to be calculated
*
* @output : Vector3D : calculated normal at the input point.
*/
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
Vector3D<typename Backend::precision_v> GetNormal1(Vector3D<typename Backend::precision_v> const &point) const
{
Vector3D<typename Backend::precision_v> normal(2. * point.x(), 2. * point.y(), -2. * tanSTheta2 * point.z());
if (fSTheta <= kPi / 2.)
return -normal;
else
return normal;
}
/* Function to calculate normal at a point to the Cone formed at
* by EndTheta.
*
* @inputs : Vector3D : Point at which normal needs to be calculated
*
* @output : Vector3D : calculated normal at the input point.
*/
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
Vector3D<typename Backend::precision_v> GetNormal2(Vector3D<typename Backend::precision_v> const &point) const
{
Vector3D<typename Backend::precision_v> normal(2 * point.x(), 2 * point.y(), -2 * tanETheta2 * point.z());
if (fETheta <= kPi / 2.)
return normal;
else
return -normal;
}
/* Function Name : GetNormal<Backend, ForStartTheta>()
*
* The function is the templatized version GetNormal1() and GetNormal2() function with one more template
* parameter and will return the normal depending upon the boolean template parameter "ForStartTheta"
* which if passed as true, will return normal to the StartingTheta of ThetaCone,
* if passed as false, will return normal to the EndingTheta of ThetaCone
*
* from user point of view the same work can be done by calling GetNormal1() and GetNormal2()
* functions, but this implementation will be used by "IsPointOnSurfaceAndMovingOut()" function
*/
template <typename Backend, bool ForStartTheta>
VECCORE_ATT_HOST_DEVICE
Vector3D<typename Backend::precision_v> GetNormal(Vector3D<typename Backend::precision_v> const &point) const
{
if (ForStartTheta) {
Vector3D<typename Backend::precision_v> normal(point.x(), point.y(), -tanSTheta2 * point.z());
if (fSTheta <= kHalfPi)
return -normal;
else
return normal;
} else {
Vector3D<typename Backend::precision_v> normal(point.x(), point.y(), -tanETheta2 * point.z());
if (fETheta <= kHalfPi)
return normal;
else
return -normal;
}
}
/* Function Name : IsOnSurfaceGeneric<Backend, ForStartTheta>()
*
* This version of IsOnSurfaceGeneric is having one more template parameter of type boolean,
* which if passed as true, will check whether the point is on StartingTheta Surface of ThetaCone,
* and if passed as false, will check whether the point is on EndingTheta Surface of ThetaCone
*
* this implementation will be used by "IsPointOnSurfaceAndMovingOut()" function.
*/
template <typename Backend, bool ForStartTheta>
VECCORE_ATT_HOST_DEVICE
typename Backend::bool_v IsOnSurfaceGeneric(Vector3D<typename Backend::precision_v> const &point) const
{
typedef typename Backend::precision_v Float_t;
Float_t rhs(0.);
if (ForStartTheta) {
rhs = Abs(tanSTheta * point.z());
} else {
rhs = Abs(tanETheta * point.z());
}
Float_t rho2 = point.Perp2();
return rho2 >= MakeMinusTolerantSquare<true>(rhs) &&
rho2 <= MakePlusTolerantSquare<true>(rhs);
}
/* Function Name : IsPointOnSurfaceAndMovingOut<Backend, ForStartTheta, MovingOut>
*
* This function is written to check if the point is on surface and is moving inside or outside.
* This will basically be used by "DistanceToInKernel()" and "DistanceToOutKernel()" of the shapes,
* which uses ThetaCone.
*
* It contains two extra template boolean parameters "ForStartTheta" and "MovingOut",
* So call like "IsPointOnSurfaceAndMovingOut<Backend,true,true>" will check whether the points is on
* the StartingTheta Surface of Theta and moving outside.
*
* So overall can be called in following four combinations
* 1) "IsPointOnSurfaceAndMovingOut<Backend,true,true>" : Point on StartingTheta surface of ThetaCone and moving OUT
* 2) "IsPointOnSurfaceAndMovingOut<Backend,true,false>" : Point on StartingTheta surface of ThetaCone and moving IN
* 3) "IsPointOnSurfaceAndMovingOut<Backend,false,true>" : Point on EndingTheta surface of ThetaCone and moving OUT
* 4) "IsPointOnSurfaceAndMovingOut<Backend,false,false>" : Point on EndingTheta surface of ThetaCone and moving IN
*
* Very useful for DistanceToIn and DistanceToOut.
*/
template <typename Backend, bool ForStartTheta, bool MovingOut>
VECCORE_ATT_HOST_DEVICE
typename Backend::bool_v IsPointOnSurfaceAndMovingOut(Vector3D<typename Backend::precision_v> const &point,
Vector3D<typename Backend::precision_v> const &dir) const
{
if (MovingOut) {
return IsOnSurfaceGeneric<Backend, ForStartTheta>(point) &&
(dir.Dot(GetNormal<Backend, ForStartTheta>(point)) > 0.);
} else {
return IsOnSurfaceGeneric<Backend, ForStartTheta>(point) &&
(dir.Dot(GetNormal<Backend, ForStartTheta>(point)) < 0.);
}
}
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
typename Backend::bool_v Contains(Vector3D<typename Backend::precision_v> const &point) const
{
typedef typename Backend::bool_v Bool_t;
Bool_t unused(false);
Bool_t outside(false);
GenericKernelForContainsAndInside<Backend, false>(point, unused, outside);
return !outside;
}
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
typename Backend::bool_v ContainsWithBoundary(Vector3D<typename Backend::precision_v> const & /*point*/) const
{
}
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
typename Backend::inside_v Inside(Vector3D<typename Backend::precision_v> const &point) const
{
typedef typename Backend::bool_v Bool_t;
Bool_t completelyinside(false), completelyoutside(false);
GenericKernelForContainsAndInside<Backend, true>(point, completelyinside, completelyoutside);
typename Backend::inside_v inside = EInside::kSurface;
vecCore::MaskedAssign(inside, completelyoutside, EInside::kOutside);
vecCore::MaskedAssign(inside, completelyinside, EInside::kInside);
return inside;
}
/**
* estimate of the smallest distance to the ThetaCone boundary when
* the point is located outside the ThetaCone
*/
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
typename Backend::precision_v SafetyToIn(Vector3D<typename Backend::precision_v> const &point) const
{
typedef typename Backend::precision_v Float_t;
typedef typename Backend::bool_v Bool_t;
Float_t safeTheta(0.);
Float_t pointRad = Sqrt(point.x() * point.x() + point.y() * point.y());
Float_t sfTh1 = DistanceToLine<Backend>(slope1, pointRad, point.z());
Float_t sfTh2 = DistanceToLine<Backend>(slope2, pointRad, point.z());
safeTheta = Min(sfTh1, sfTh2);
Bool_t done = Contains<Backend>(point);
vecCore__MaskedAssignFunc(safeTheta, done, Float_t(0.0));
if (vecCore::MaskFull(done)) return safeTheta;
// Case 1 : Both cones are in Positive Z direction
if (fSTheta < kPi / 2 + halfAngTolerance) {
if (fETheta < kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
vecCore::MaskedAssign(safeTheta, (!done && point.z() < 0.0), sfTh2);
}
}
// Case 2 : First Cone is in Positive Z direction and Second is in Negative Z direction
if (fETheta > kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
vecCore::MaskedAssign(safeTheta, (!done && point.z() > 0.0), sfTh1);
vecCore::MaskedAssign(safeTheta, (!done && point.z() < 0.0), sfTh2);
}
}
}
// Case 3 : Both cones are in Negative Z direction
if (fETheta > kPi / 2 + halfAngTolerance) {
if (fSTheta > kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
vecCore::MaskedAssign(safeTheta, (!done && point.z() > 0.0), sfTh1);
}
}
}
return safeTheta;
}
/**
* estimate of the smallest distance to the ThetaCone boundary when
* the point is located inside the ThetaCone ( within the defining phi angle )
*/
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
typename Backend::precision_v SafetyToOut(Vector3D<typename Backend::precision_v> const &point) const
{
typedef typename Backend::precision_v Float_t;
Float_t pointRad = Sqrt(point.x() * point.x() + point.y() * point.y());
Float_t bisectorRad = Abs(point.z() * tanBisector);
vecCore::Mask<Float_t> condition(false);
Float_t sfTh1 = DistanceToLine<Backend>(slope1, pointRad, point.z());
Float_t sfTh2 = DistanceToLine<Backend>(slope2, pointRad, point.z());
// Case 1 : Both cones are in Positive Z direction
if (fSTheta < kPi / 2 + halfAngTolerance) {
if (fETheta < kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
condition = (pointRad < bisectorRad) && (fSTheta != Float_t(0.0));
}
}
// Case 2 : First Cone is in Positive Z direction and Second is in Negative Z direction
if (fETheta > kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
condition = sfTh1 < sfTh2;
}
}
}
// Case 3 : Both cones are in Negative Z direction
if (fETheta > kPi / 2 + halfAngTolerance) {
if (fSTheta > kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
condition = !((pointRad < bisectorRad) && (fETheta != Float_t(kPi)));
}
}
}
return vecCore::Blend(condition, sfTh1, sfTh2);
}
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
typename Backend::precision_v DistanceToLine(Precision const &slope, typename Backend::precision_v const &x,
typename Backend::precision_v const &y) const
{
typedef typename Backend::precision_v Float_t;
Float_t dist = (y - slope * x) / Sqrt(1. + slope * slope);
return Abs(dist);
}
/**
* estimate of the distance to the ThetaCone boundary with given direction
*/
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
void DistanceToIn(Vector3D<typename Backend::precision_v> const &point,
Vector3D<typename Backend::precision_v> const &dir, typename Backend::precision_v &distThetaCone1,
typename Backend::precision_v &distThetaCone2, typename Backend::bool_v &intsect1,
typename Backend::bool_v &intsect2) const
{
{
typedef typename Backend::precision_v Float_t;
typedef typename Backend::bool_v Bool_t;
Bool_t done(false);
Bool_t fal(false);
Float_t firstRoot(kInfLength), secondRoot(kInfLength);
Float_t pDotV2d = point.x() * dir.x() + point.y() * dir.y();
Float_t rho2 = point.x() * point.x() + point.y() * point.y();
Float_t dirRho2 = dir.Perp2();
Float_t b = pDotV2d - point.z() * dir.z() * tanSTheta2;
// Float_t a = dir.x() * dir.x() + dir.y() * dir.y() - dir.z() * dir.z() * tanSTheta2;
Float_t a = dirRho2 - dir.z() * dir.z() * tanSTheta2;
Float_t c = rho2 - point.z() * point.z() * tanSTheta2;
Float_t d2 = b * b - a * c;
Float_t aInv = 1. / NonZero(a);
vecCore__MaskedAssignFunc(firstRoot, (d2 > 0.0), (-b + Sqrt(Abs(d2))) * aInv);
done |= (Abs(firstRoot) < 3.0 * kTolerance);
vecCore__MaskedAssignFunc(firstRoot, ((Abs(firstRoot) < 3.0 * kTolerance)), Float_t(0.0));
vecCore__MaskedAssignFunc(firstRoot, (!done && (firstRoot < 0.0)), InfinityLength<Float_t>());
Float_t b2 = pDotV2d - point.z() * dir.z() * tanETheta2;
// Float_t a2 = dir.x() * dir.x() + dir.y() * dir.y() - dir.z() * dir.z() * tanETheta2;
Float_t a2 = dirRho2 - dir.z() * dir.z() * tanETheta2;
Float_t c2 = rho2 - point.z() * point.z() * tanETheta2;
Float_t d22 = b2 * b2 - a2 * c2;
Float_t a2Inv = 1. / NonZero(a2);
vecCore__MaskedAssignFunc(secondRoot, (d22 > 0.0), (-b2 - Sqrt(Abs(d22))) * a2Inv);
vecCore__MaskedAssignFunc(secondRoot, (!done && (Abs(secondRoot) < 3.0 * kTolerance)), Float_t(0.0));
done |= (Abs(secondRoot) < 3.0 * kTolerance);
vecCore__MaskedAssignFunc(secondRoot, !done && (secondRoot < 0.0), InfinityLength<Float_t>());
if (fSTheta < kHalfPi + halfAngTolerance) {
if (fETheta < kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
distThetaCone1 = firstRoot;
distThetaCone2 = secondRoot;
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
intsect1 = ((d2 > 0.) && (zOfIntSecPtCone1 > 0.));
intsect2 = ((d22 > 0.) && (zOfIntSecPtCone2 > 0.));
}
}
if (fETheta >= kHalfPi - halfAngTolerance && fETheta <= kHalfPi + halfAngTolerance) {
vecCore__MaskedAssignFunc(distThetaCone2, (dir.z() > 0.0), -point.z() / dir.z());
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
intsect2 = ((distThetaCone2 != kInfLength) && (Abs(zOfIntSecPtCone2) < halfAngTolerance));
}
if (fETheta > kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
distThetaCone1 = firstRoot;
vecCore__MaskedAssignFunc(secondRoot, (d22 > 0.0), (-b2 + Sqrt(Abs(d22))) * a2Inv);
done = fal;
done |= (Abs(secondRoot) < 3.0 * kTolerance);
vecCore__MaskedAssignFunc(secondRoot, ((Abs(secondRoot) < 3.0 * kTolerance)), Float_t(0.0));
vecCore__MaskedAssignFunc(secondRoot, !done && (secondRoot < 0.0), InfinityLength<Float_t>());
distThetaCone2 = secondRoot;
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
intsect1 = ((d2 > 0) && (distThetaCone1 != kInfLength) && (zOfIntSecPtCone1 > 0.));
intsect2 = ((d22 > 0) && (distThetaCone2 != kInfLength) && (zOfIntSecPtCone2 < 0.));
}
}
}
if (fSTheta >= kHalfPi - halfAngTolerance) {
if (fETheta > kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
vecCore__MaskedAssignFunc(firstRoot, (d2 > 0.0), (-b - Sqrt(Abs(d2))) * aInv);
done = fal;
done |= (Abs(firstRoot) < 3.0 * kTolerance);
vecCore__MaskedAssignFunc(firstRoot, ((Abs(firstRoot) < 3.0 * kTolerance)), Float_t(0.0));
vecCore__MaskedAssignFunc(firstRoot, !done && (firstRoot < 0.0), InfinityLength<Float_t>());
distThetaCone1 = firstRoot;
vecCore__MaskedAssignFunc(secondRoot, (d22 > 0.0), (-b2 + Sqrt(Abs(d22))) * a2Inv);
done = fal;
done |= (Abs(secondRoot) < 3.0 * kTolerance);
vecCore__MaskedAssignFunc(secondRoot, ((Abs(secondRoot) < 3.0 * kTolerance)), Float_t(0.0));
vecCore__MaskedAssignFunc(secondRoot, !done && (secondRoot < 0.0), InfinityLength<Float_t>());
distThetaCone2 = secondRoot;
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
intsect1 = ((d2 > 0) && (distThetaCone1 != kInfLength) && (zOfIntSecPtCone1 < 0.));
intsect2 = ((d22 > 0) && (distThetaCone2 != kInfLength) && (zOfIntSecPtCone2 < 0.));
}
}
}
if (fSTheta >= kHalfPi - halfAngTolerance && fSTheta <= kHalfPi + halfAngTolerance) {
vecCore__MaskedAssignFunc(distThetaCone1, (dir.z() < 0.0), -point.z() / dir.z());
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
intsect1 = ((distThetaCone1 != kInfLength) && (Abs(zOfIntSecPtCone1) < halfAngTolerance));
}
}
}
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
void DistanceToOut(Vector3D<typename Backend::precision_v> const &point,
Vector3D<typename Backend::precision_v> const &dir, typename Backend::precision_v &distThetaCone1,
typename Backend::precision_v &distThetaCone2, typename Backend::bool_v &intsect1,
typename Backend::bool_v &intsect2) const
{
typedef typename Backend::precision_v Float_t;
typedef typename Backend::bool_v Bool_t;
Float_t inf(kInfLength);
// Float_t firstRoot(kInfLength), secondRoot(kInfLength);
Float_t firstRoot(kInfLength), secondRoot(kInfLength);
Float_t pDotV2d = point.x() * dir.x() + point.y() * dir.y();
Float_t rho2 = point.x() * point.x() + point.y() * point.y();
Float_t b = pDotV2d - point.z() * dir.z() * tanSTheta2;
Float_t a = dir.x() * dir.x() + dir.y() * dir.y() - dir.z() * dir.z() * tanSTheta2;
Float_t c = rho2 - point.z() * point.z() * tanSTheta2;
Float_t d2 = b * b - a * c;
vecCore__MaskedAssignFunc(d2, d2 < 0.0 && Abs(d2) < kHalfTolerance, Float_t(0.0));
vecCore__MaskedAssignFunc(firstRoot, (d2 >= 0.0) && b >= 0.0 && a != 0.0, ((-b - Sqrt(Abs(d2))) / NonZero(a)));
vecCore__MaskedAssignFunc(firstRoot, (d2 >= 0.0) && b < 0.0, ((c) / NonZero(-b + Sqrt(Abs(d2)))));
vecCore__MaskedAssignFunc(firstRoot, firstRoot < 0.0, InfinityLength<Float_t>());
Float_t b2 = point.x() * dir.x() + point.y() * dir.y() - point.z() * dir.z() * tanETheta2;
Float_t a2 = dir.x() * dir.x() + dir.y() * dir.y() - dir.z() * dir.z() * tanETheta2;
Float_t c2 = point.x() * point.x() + point.y() * point.y() - point.z() * point.z() * tanETheta2;
Float_t d22 = (b2 * b2) - (a2 * c2);
vecCore__MaskedAssignFunc(d22, d22 < 0.0 && Abs(d22) < kHalfTolerance, Float_t(0.0));
vecCore__MaskedAssignFunc(secondRoot, (d22 >= 0.0) && b2 >= 0.0, ((c2) / NonZero(-b2 - Sqrt(Abs(d22)))));
vecCore__MaskedAssignFunc(secondRoot, (d22 >= 0.0) && b2 < 0.0 && a2 != 0.0,
((-b2 + Sqrt(Abs(d22))) / NonZero(a2)));
vecCore__MaskedAssignFunc(secondRoot, secondRoot < 0.0 && Abs(secondRoot) > kTolerance, InfinityLength<Float_t>());
vecCore__MaskedAssignFunc(secondRoot, Abs(secondRoot) < kTolerance, Float_t(0.0));
if (fSTheta < kPi / 2 + halfAngTolerance) {
if (fETheta < kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
distThetaCone1 = firstRoot;
distThetaCone2 = secondRoot;
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
intsect1 = ((d2 > 0) && (distThetaCone1 != kInfLength) && ((zOfIntSecPtCone1) > -kHalfTolerance));
intsect2 = ((d22 > 0) && (distThetaCone2 != kInfLength) && ((zOfIntSecPtCone2) > -kHalfTolerance));
Float_t dirRho2 = dir.x() * dir.x() + dir.y() * dir.y();
Float_t zs(kInfLength);
if (fSTheta) zs = dirRho2 / tanSTheta;
Float_t ze(kInfLength);
if (fETheta) ze = dirRho2 / tanETheta;
Bool_t cond = (point.x() == 0. && point.y() == 0. && point.z() == 0. && dir.z() < zs && dir.z() < ze);
vecCore__MaskedAssignFunc(distThetaCone1, cond, Float_t(0.0));
vecCore__MaskedAssignFunc(distThetaCone2, cond, Float_t(0.0));
intsect1 |= cond;
intsect2 |= cond;
}
}
if (fETheta >= kPi / 2 - halfAngTolerance && fETheta <= kPi / 2 + halfAngTolerance) {
distThetaCone1 = firstRoot;
distThetaCone2 = inf;
vecCore__MaskedAssignFunc(distThetaCone2, (dir.z() < 0.0), -1. * point.z() / dir.z());
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
intsect2 = ((d22 >= 0) && (distThetaCone2 != kInfLength) && (Abs(zOfIntSecPtCone2) < kHalfTolerance) &&
!(dir.z() == 0.));
intsect1 = ((d2 >= 0) && (distThetaCone1 != kInfLength) && (Abs(zOfIntSecPtCone1) < kHalfTolerance) &&
!(dir.z() == 0.));
}
if (fETheta > kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
distThetaCone1 = firstRoot;
vecCore__MaskedAssignFunc(secondRoot, (d22 >= 0.0) && b2 > 0.0 && a2 != 0.0,
((-b2 - Sqrt(Abs(d22))) / NonZero(a2)));
vecCore__MaskedAssignFunc(secondRoot, (d22 >= 0.0) && b2 <= 0.0, ((c2) / NonZero(-b2 + Sqrt(Abs(d22)))));
vecCore__MaskedAssignFunc(secondRoot, secondRoot < 0.0, InfinityLength<Float_t>());
distThetaCone2 = secondRoot;
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
intsect1 = ((d2 >= 0) && (distThetaCone1 != kInfLength) && ((zOfIntSecPtCone1) > -kHalfTolerance));
intsect2 = ((d22 >= 0) && (distThetaCone2 != kInfLength) && ((zOfIntSecPtCone2) < kHalfTolerance));
}
}
}
if (fETheta > kPi / 2 + halfAngTolerance) {
if (fSTheta < fETheta) {
secondRoot = kInfLength;
vecCore__MaskedAssignFunc(secondRoot, (d22 >= 0.0) && b2 > 0.0 && a2 != 0.0,
((-b2 - Sqrt(Abs(d22))) / NonZero(a2)));
vecCore__MaskedAssignFunc(secondRoot, (d22 >= 0.0) && b2 <= 0.0, ((c2) / NonZero(-b2 + Sqrt(Abs(d22)))));
distThetaCone2 = secondRoot;
if (fSTheta > kPi / 2 + halfAngTolerance) {
vecCore__MaskedAssignFunc(firstRoot, (d2 >= 0.0) && b > 0.0, ((c) / NonZero(-b - Sqrt(Abs(d2)))));
vecCore__MaskedAssignFunc(firstRoot, (d2 >= 0.0) && b <= 0.0 && a != 0.0,
((-b + Sqrt(Abs(d2))) / NonZero(a)));
vecCore__MaskedAssignFunc(firstRoot, firstRoot < 0.0, InfinityLength<Float_t>());
distThetaCone1 = firstRoot;
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
intsect1 = ((d2 > 0) && (distThetaCone1 != kInfLength) && ((zOfIntSecPtCone1) < kHalfTolerance));
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
intsect2 = ((d22 > 0) && (distThetaCone2 != kInfLength) && ((zOfIntSecPtCone2) < kHalfTolerance));
Float_t dirRho2 = dir.x() * dir.x() + dir.y() * dir.y();
Float_t zs(-kInfLength);
if (tanSTheta) zs = -dirRho2 / tanSTheta;
Float_t ze(-kInfLength);
if (tanETheta) ze = -dirRho2 / tanETheta;
Bool_t cond = (point.x() == 0. && point.y() == 0. && point.z() == 0. && dir.z() > zs && dir.z() > ze);
vecCore__MaskedAssignFunc(distThetaCone1, cond, Float_t(0.0));
vecCore__MaskedAssignFunc(distThetaCone2, cond, Float_t(0.0));
// intsect1 |= (cond && tr);
// intsect2 |= (cond && tr);
intsect1 |= cond;
intsect2 |= cond;
}
}
}
if (fSTheta >= kPi / 2 - halfAngTolerance && fSTheta <= kPi / 2 + halfAngTolerance) {
distThetaCone2 = secondRoot;
distThetaCone1 = kInfLength;
vecCore__MaskedAssignFunc(distThetaCone1, (dir.z() > 0.), -1. * point.z() / NonZero(dir.z()));
Float_t zOfIntSecPtCone1 = (point.z() + distThetaCone1 * dir.z());
Float_t zOfIntSecPtCone2 = (point.z() + distThetaCone2 * dir.z());
intsect1 =
((d2 >= 0) && (distThetaCone1 != kInfLength) && (Abs(zOfIntSecPtCone1) < kHalfTolerance) && (dir.z() != 0.));
intsect2 =
((d22 >= 0) && (distThetaCone2 != kInfLength) && (Abs(zOfIntSecPtCone2) < kHalfTolerance) && (dir.z() != 0.));
}
}
// This could be useful in case somebody just want to check whether point is completely inside ThetaRange
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
typename Backend::bool_v IsCompletelyInside(Vector3D<typename Backend::precision_v> const &localPoint) const
{
typedef typename Backend::precision_v Float_t;
typedef typename Backend::bool_v Bool_t;
// Float_t pi(kPi), zero(0.);
Float_t rho = Sqrt(localPoint.Mag2() - (localPoint.z() * localPoint.z()));
Float_t cone1Radius = Abs(localPoint.z() * tanSTheta);
Float_t cone2Radius = Abs(localPoint.z() * tanETheta);
Bool_t isPointOnZAxis = localPoint.z() != 0. && localPoint.x() == 0. && localPoint.y() == 0.;
Bool_t isPointOnXYPlane = localPoint.z() == 0. && (localPoint.x() != 0. || localPoint.y() != 0.);
Float_t startTheta(fSTheta), endTheta(fETheta);
Bool_t completelyinside =
(isPointOnZAxis && ((startTheta == 0. && endTheta == kPi) || (localPoint.z() > 0. && startTheta == 0.) ||
(localPoint.z() < 0. && endTheta == kPi)));
completelyinside |= (!completelyinside && (isPointOnXYPlane && (startTheta < kHalfPi && endTheta > kHalfPi &&
(kHalfPi - startTheta) > kAngTolerance &&
(endTheta - kHalfPi) > kTolerance)));
if (fSTheta < kHalfPi + halfAngTolerance) {
if (fETheta < kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
Float_t tolAngMin = cone1Radius + 2 * kAngTolerance * 10.;
Float_t tolAngMax = cone2Radius - 2 * kAngTolerance * 10.;
completelyinside |=
(!completelyinside &&
(((rho <= tolAngMax) && (rho >= tolAngMin) && (localPoint.z() > 0.) && Bool_t(fSTheta != 0.)) ||
((rho <= tolAngMax) && Bool_t(fSTheta == 0.) && (localPoint.z() > 0.))));
}
}
if (fETheta > kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
Float_t tolAngMin = cone1Radius + 2 * kAngTolerance * 10.;
Float_t tolAngMax = cone2Radius + 2 * kAngTolerance * 10.;
completelyinside |= (!completelyinside && (((rho >= tolAngMin) && (localPoint.z() > 0.)) ||
((rho >= tolAngMax) && (localPoint.z() < 0.))));
}
}
if (fETheta >= kHalfPi - halfAngTolerance && fETheta <= kHalfPi + halfAngTolerance) {
completelyinside &= !(Abs(localPoint.z()) < halfAngTolerance);
}
}
if (fETheta > kHalfPi + halfAngTolerance) {
if (fSTheta >= kHalfPi - halfAngTolerance && fSTheta <= kHalfPi + halfAngTolerance) {
completelyinside &= !(Abs(localPoint.z()) < halfAngTolerance);
}
if (fSTheta > kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
Float_t tolAngMin = cone1Radius - 2 * kAngTolerance * 10.;
Float_t tolAngMax = cone2Radius + 2 * kAngTolerance * 10.;
completelyinside |=
(!completelyinside &&
(((rho <= tolAngMin) && (rho >= tolAngMax) && (localPoint.z() < 0.) && Bool_t(fETheta != kPi)) ||
((rho <= tolAngMin) && (localPoint.z() < 0.) && Bool_t(fETheta == kPi))));
}
}
}
return completelyinside;
}
// This could be useful in case somebody just want to check whether point is completely outside ThetaRange
template <typename Backend>
VECCORE_ATT_HOST_DEVICE
typename Backend::bool_v IsCompletelyOutside(Vector3D<typename Backend::precision_v> const &localPoint) const
{
typedef typename Backend::precision_v Float_t;
typedef typename Backend::bool_v Bool_t;
// Float_t pi(kPi), zero(0.);
Float_t diff = localPoint.Perp2();
Float_t rho = Sqrt(diff);
Float_t cone1Radius = Abs(localPoint.z() * tanSTheta);
Float_t cone2Radius = Abs(localPoint.z() * tanETheta);
Bool_t isPointOnZAxis = localPoint.z() != 0. && localPoint.x() == 0. && localPoint.y() == 0.;
Bool_t isPointOnXYPlane = localPoint.z() == 0. && (localPoint.x() != 0. || localPoint.y() != 0.);
// Float_t startTheta(fSTheta), endTheta(fETheta);
Bool_t completelyoutside = (isPointOnZAxis && ((Bool_t(fSTheta != 0.) && Bool_t(fETheta != kPi)) ||
(localPoint.z() > 0. && Bool_t(fSTheta != 0.)) ||
(localPoint.z() < 0. && Bool_t(fETheta != kPi))));
completelyoutside |=
(!completelyoutside &&
(isPointOnXYPlane && Bool_t(((fSTheta < kHalfPi) && (fETheta < kHalfPi) &&
((kHalfPi - fSTheta) > kAngTolerance) && ((kHalfPi - fETheta) > kTolerance)) ||
((fSTheta > kHalfPi && fETheta > kHalfPi) &&
((fSTheta - kHalfPi) > kAngTolerance) && ((fETheta - kHalfPi) > kTolerance)))));
if (fSTheta < kHalfPi + halfAngTolerance) {
if (fETheta < kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
Float_t tolAngMin2 = cone1Radius - 2 * kAngTolerance * 10.;
Float_t tolAngMax2 = cone2Radius + 2 * kAngTolerance * 10.;
completelyoutside |=
(!completelyoutside && ((rho < tolAngMin2) || (rho > tolAngMax2) || (localPoint.z() < 0.)));
}
}
if (fETheta > kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
Float_t tolAngMin2 = cone1Radius - 2 * kAngTolerance * 10.;
Float_t tolAngMax2 = cone2Radius - 2 * kAngTolerance * 10.;
completelyoutside |= (!completelyoutside && (((rho < tolAngMin2) && (localPoint.z() > 0.)) ||
((rho < tolAngMax2) && (localPoint.z() < 0.))));
}
}
if (fETheta >= kHalfPi - halfAngTolerance && fETheta <= kHalfPi + halfAngTolerance) {
// completelyinside &= !(Abs(localPoint.z()) < halfAngTolerance);
completelyoutside &= !(Abs(localPoint.z()) < halfAngTolerance);
}
}
if (fETheta > kHalfPi + halfAngTolerance) {
if (fSTheta >= kHalfPi - halfAngTolerance && fSTheta <= kHalfPi + halfAngTolerance) {
// completelyinside &= !(Abs(localPoint.z()) < halfAngTolerance);
completelyoutside &= !(Abs(localPoint.z()) < halfAngTolerance);
}
if (fSTheta > kHalfPi + halfAngTolerance) {
if (fSTheta < fETheta) {
Float_t tolAngMin2 = cone1Radius + 2 * kAngTolerance * 10.;
Float_t tolAngMax2 = cone2Radius - 2 * kAngTolerance * 10.;
completelyoutside |=
(!completelyoutside && ((rho < tolAngMax2) || (rho > tolAngMin2) || (localPoint.z() > 0.)));
}
}
}
return completelyoutside;
}
template <typename Backend, bool ForInside>
VECCORE_ATT_HOST_DEVICE
void GenericKernelForContainsAndInside(Vector3D<typename Backend::precision_v> const &localPoint,
typename Backend::bool_v &completelyinside,
typename Backend::bool_v &completelyoutside) const
{
if (ForInside) completelyinside = IsCompletelyInside<Backend>(localPoint);
completelyoutside = IsCompletelyOutside<Backend>(localPoint);
}
}; // end of class ThetaCone
}
} // end of namespace
#endif /* VECGEOM_VOLUMES_THETACONE_H_ */
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