GeoPrimitivesHelpers.h File Reference

#include "GeoPrimitives/GeoPrimitives.h"
#include "GeoPrimitives/GeoPrimitivesCompare.h"
#include "CxxUtils/sincos.h"
#include "cmath"
#include <vector>
#include <optional>
#include <set>
#include <iostream>

Include dependency graph for GeoPrimitivesHelpers.h:

Go to the source code of this file.

Namespaces
	Amg
	Definition of ATLAS Math & Geometry primitives (Amg)

Typedefs
using	Amg::SetVector3D = std::set< Amg::Vector3D, Vector3DComparer >
using	Amg::SetVectorVector3D = std::set< std::vector< Amg::Vector3D >, VectorVector3DComparer >

Functions
double	Amg::angle (const Amg::Vector3D &v1, const Amg::Vector3D &v2)
	calculates the opening angle between two vectors More...
float	Amg::distance2 (const Amg::Vector3D &p1, const Amg::Vector3D &p2)
	calculates the squared distance between two point in 3D space More...
float	Amg::distance (const Amg::Vector3D &p1, const Amg::Vector3D &p2)
	calculates the distance between two point in 3D space More...
void	Amg::setPhi (Amg::Vector3D &v, double phi)
	sets the phi angle of a vector without changing theta nor the magnitude More...
void	Amg::setThetaPhi (Amg::Vector3D &v, double theta, double phi)
	sets the theta and phi angle of a vector without changing the magnitude More...
void	Amg::setRThetaPhi (Amg::Vector3D &v, double r, double theta, double phi)
	sets radius, the theta and phi angle of a vector. More...
void	Amg::setTheta (Amg::Vector3D &v, double theta)
	sets the theta of a vector without changing phi nor the magnitude More...
void	Amg::setPerp (Amg::Vector3D &v, double perp)
	scales the vector in the xy plane without changing the z coordinate nor the angles More...
void	Amg::setMag (Amg::Vector3D &v, double mag)
	scales the vector length without changing the angles More...
double	Amg::deltaPhi (const Amg::Vector3D &v1, const Amg::Vector3D &v2)
double	Amg::deltaR (const Amg::Vector3D &v1, const Amg::Vector3D &v2)
void	Amg::setVector3DCartesian (Amg::Vector3D &v1, double x1, double y1, double z1)
	Sets components in cartesian coordinate system. More...
double	Amg::mag2Vector3D (const Amg::Vector3D &v1)
	Gets magnitude squared of the vector. More...
double	Amg::magVector3D (const Amg::Vector3D &v1)
	Gets magnitude of the vector. More...
double	Amg::rVector3D (const Amg::Vector3D &v1)
	Gets r-component in spherical coordinate system. More...
Amg::Vector3D	Amg::transform (Amg::Vector3D &v, Amg::Transform3D &tr)
	Transform a point from a Trasformation3D. More...
Amg::Transform3D	Amg::getTransformFromRotTransl (Amg::RotationMatrix3D rot, Amg::Vector3D transl_vec)
void	Amg::getAngleAxisFromRotation (Amg::RotationMatrix3D &rotation, double &rotationAngle, Amg::Vector3D &rotationAxis)
Amg::Vector3D	Amg::getTranslationVectorFromTransform (const Amg::Transform3D &tr)
	Get the Translation vector out of a Transformation. More...
Amg::Rotation3D	Amg::getRotation3DfromAngleAxis (double angle, Amg::Vector3D &axis)
	get a AngleAxis from an angle and an axis. More...
Amg::Transform3D	Amg::getRotateX3D (double angle)
	get a rotation transformation around X-axis More...
Amg::Transform3D	Amg::getRotateY3D (double angle)
	get a rotation transformation around Y-axis More...
Amg::Transform3D	Amg::getRotateZ3D (double angle)
	get a rotation transformation around Z-axis More...
Amg::Transform3D	Amg::getTranslateX3D (const double X)
	: Returns a shift transformation along the x-axis More...
Amg::Transform3D	Amg::getTranslateY3D (const double Y)
	: Returns a shift transformation along the y-axis More...
Amg::Transform3D	Amg::getTranslateZ3D (const double Z)
	: Returns a shift transformation along the z-axis More...
Amg::Transform3D	Amg::getTranslate3D (const double X, const double Y, const double Z)
	: Returns a shift transformation along an arbitrary axis More...
Amg::Transform3D	Amg::getTranslate3D (const Amg::Vector3D &v)
	: Returns a shift transformation along an arbitrary axis More...
Amg::Vector3D	Amg::dirFromAngles (const double phi, const double theta)
	Constructs a direction vector from the azimuthal & polar angles. More...
template<int N>
double	Amg::lineDistance (const AmgVector(N)&posA, const AmgVector(N)&dirA, const AmgVector(N)&posB, const AmgVector(N)&dirB)
	: Calculates the shortest distance between two lines More...
double	Amg::signedDistance (const Amg::Vector3D &posA, const Amg::Vector3D &dirA, const Amg::Vector3D &posB, const Amg::Vector3D &dirB)
	Calculates the signed distance between two lines in 3D space. More...
template<int N>
std::optional< double >	Amg::intersect (const AmgVector(N)&posA, const AmgVector(N)&dirA, const AmgVector(N)&posB, const AmgVector(N)&dirB)
	Calculates the point B' along the line B that's closest to a second line A. More...
template<int N>
std::optional< double >	Amg::intersect (const AmgVector(N)&pos, const AmgVector(N)&dir, const AmgVector(N)&planeNorm, const double offset)
	Intersects a line parametrized as A + lambda * B with the (N-1) dimensional hyperplane that's given in the Hesse normal form <P, N> - C = 0 More...
bool	Amg::doesNotDeform (const Amg::Transform3D &trans)
	Checks whether the linear part of the transformation rotates or stetches any of the basis vectors. More...
bool	Amg::isIdentity (const Amg::Transform3D &trans)
	Checks whether the transformation is the Identity transformation. More...