#include <RTRefls.h>

Static Public Member Functions
static T	common1 (T t, T xr, T yr, T dxr, T dyr, T a, T b)

static T	common2 (T t, T xr, T yr, T dxr, T dyr, T a, T b)

static T	gp (T t, T xr, T yr, T zr, T dxr, T dyr, T dzr, T a, T b, T c)

static T	gh (T t, T xr, T yr, T zr, T dxr, T dyr, T dzr, T a, T b, T c)

static T	ge (T t, T xr, T yr, T zr, T dxr, T dyr, T dzr, T a, T b, T c)

static T	gpl (T t, T xr, T yr, T zr, T dxr, T dyr, T dzr, T a, T b, T c)

static std::array< T, 3 >	np (T xr, T yr, T zr, int flip, T a, T b, T c)

static std::array< T, 3 >	nh (T xr, T yr, T zr, int flip, T a, T b, T c)

static std::array< T, 3 >	ne (T xr, T yr, T zr, int flip, T a, T b, T c)

static std::array< T, 3 >	npl (T xr, T yr, T zr, int flip, T a, T b, T c)

Public Attributes
Utils< T >	ut

Detailed Description

template<class T>
class RTRefls< T >

Simple representation of reflectors and implementations for the Newton-Rhapson method.

Member Function Documentation

◆ common1()

template<class T >

T RTRefls< T >::common1	(	T	t,
		T	xr,
		T	yr,
		T	dxr,
		T	dyr,
		T	a,
		T	b
	)

inlinestatic

Common factor 1 for all reflectors.

Calculate common factor 1. These calculations are done separately as these factors are common to all reflectors.

Parameters

t	Scaling factor of ray, double/float.
xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
dxr	Component of ray direction along x-axis, double/float.
dyr	Component of ray direction along y-axis, double/float.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.

Returns: z Co-ordinate along z-axis on reflector, corresponding to ray co-ordinate, direction and scaling. Double/float.

◆ common2()

template<class T >

T RTRefls< T >::common2	(	T	t,
		T	xr,
		T	yr,
		T	dxr,
		T	dyr,
		T	a,
		T	b
	)

inlinestatic

Common factor 2 for all reflectors.

Calculate common factor 2. These calculations are done separately as these factors are common to all reflectors.

Parameters

t	Scaling factor of ray, double/float.
xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
dxr	Component of ray direction along x-axis.
dyr	Component of ray direction along y-axis.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.

Returns: z Co-ordinate along z-axis on reflector, corresponding to ray co-ordinate, direction and scaling. Double/float.

◆ ge()

template<class T >

T RTRefls< T >::ge	(	T	t,
		T	xr,
		T	yr,
		T	zr,
		T	dxr,
		T	dyr,
		T	dzr,
		T	a,
		T	b,
		T	c
	)

inlinestatic

Grid ellipsoid.

Calculate difference between ellipsoid z co-ordinate and ray z co-ordinate corresponding to x and y ray co-ordinates.

Parameters

t	Scaling factor of ray, double/float.
xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
zr	Current z co-ordinate of ray, double/float.
dxr	Component of ray direction along x-axis.
dyr	Component of ray direction along y-axis.
dzr	Component of ray direction along z-axis.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.
c	Scale factor along z-axis, double/float (hyperboloid/ellipsoid only).

Returns: dz Difference between reflector and ray co-ordinate along z-axis.

◆ gh()

template<class T >

T RTRefls< T >::gh	(	T	t,
		T	xr,
		T	yr,
		T	zr,
		T	dxr,
		T	dyr,
		T	dzr,
		T	a,
		T	b,
		T	c
	)

inlinestatic

Grid hyperboloid.

Calculate difference between hyperboloid z co-ordinate and ray z co-ordinate corresponding to x and y ray co-ordinates.

Parameters

t	Scaling factor of ray, double/float.
xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
zr	Current z co-ordinate of ray, double/float.
dxr	Component of ray direction along x-axis.
dyr	Component of ray direction along y-axis.
dzr	Component of ray direction along z-axis.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.
c	Scale factor along z-axis, double/float (hyperboloid/ellipsoid only).

Returns: dz Difference between reflector and ray co-ordinate along z-axis.

◆ gp()

template<class T >

T RTRefls< T >::gp	(	T	t,
		T	xr,
		T	yr,
		T	zr,
		T	dxr,
		T	dyr,
		T	dzr,
		T	a,
		T	b,
		T	c
	)

inlinestatic

Grid paraboloid.

Calculate difference between paraboloid z co-ordinate and ray z co-ordinate corresponding to x and y ray co-ordinates.

Parameters

t	Scaling factor of ray, double/float.
xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
zr	Current z co-ordinate of ray, double/float.
dxr	Component of ray direction along x-axis.
dyr	Component of ray direction along y-axis.
dzr	Component of ray direction along z-axis.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.
c	Scale factor along z-axis, double/float (hyperboloid/ellipsoid only).

Returns: dz Difference between reflector and ray co-ordinate along z-axis.

◆ gpl()

template<class T >

T RTRefls< T >::gpl	(	T	t,
		T	xr,
		T	yr,
		T	zr,
		T	dxr,
		T	dyr,
		T	dzr,
		T	a,
		T	b,
		T	c
	)

inlinestatic

Grid plane.

Calculate difference between plane z co-ordinate and ray z co-ordinate corresponding to x and y ray co-ordinates.

Parameters

t	Scaling factor of ray, double/float.
xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
zr	Current z co-ordinate of ray, double/float.
dxr	Component of ray direction along x-axis.
dyr	Component of ray direction along y-axis.
dzr	Component of ray direction along z-axis.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.
c	Scale factor along z-axis, double/float (hyperboloid/ellipsoid only).

Returns: dz Difference between reflector and ray co-ordinate along z-axis.

◆ ne()

template<class T >

std::array< T, 3 > RTRefls< T >::ne	(	T	xr,
		T	yr,
		T	zr,
		int	flip,
		T	a,
		T	b,
		T	c
	)

inlinestatic

Ellipsoid normal vectors.

Calculate normal vectors to point on ellipsoid.

Parameters

xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
zr	Current z co-ordinate of ray, double/float.
flip	Direction of normal vectors.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.
c	Scale factor along z-axis, double/float (hyperboloid/ellipsoid only).

Returns: out Array of 3 double/float, containing components of normal vector.

◆ nh()

template<class T >

std::array< T, 3 > RTRefls< T >::nh	(	T	xr,
		T	yr,
		T	zr,
		int	flip,
		T	a,
		T	b,
		T	c
	)

inlinestatic

Hyperboloid normal vectors.

Calculate normal vectors to point on hyperboloid.

Parameters

xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
zr	Current z co-ordinate of ray, double/float.
flip	Direction of normal vectors.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.
c	Scale factor along z-axis, double/float (hyperboloid/ellipsoid only).

Returns: out Array of 3 double/float, containing components of normal vector.

◆ np()

template<class T >

std::array< T, 3 > RTRefls< T >::np	(	T	xr,
		T	yr,
		T	zr,
		int	flip,
		T	a,
		T	b,
		T	c
	)

inlinestatic

Paraboloid normal vectors.

Calculate normal vectors to point on paraboloid.

Parameters

xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
zr	Current z co-ordinate of ray, double/float.
flip	Direction of normal vectors.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.
c	Scale factor along z-axis, double/float (hyperboloid/ellipsoid only).

Returns: out Array of 3 double/float, containing components of normal vector.

◆ npl()

template<class T >

std::array< T, 3 > RTRefls< T >::npl	(	T	xr,
		T	yr,
		T	zr,
		int	flip,
		T	a,
		T	b,
		T	c
	)

inlinestatic

Plane normal vectors.

Calculate normal vectors to point on plane. Seems sort of redundant, but implement this way for consistency.

Parameters

xr	Current x co-ordinate of ray, double/float.
yr	Current y co-ordinate of ray, double/float.
zr	Current z co-ordinate of ray, double/float.
flip	Direction of normal vectors.
a	Scale factor along x-axis, double/float.
b	Scale factor along y-axis, double/float.
c	Scale factor along z-axis, double/float (hyperboloid/ellipsoid only).

Returns: out Array of 3 double/float, containing components of normal vector.

The documentation for this class was generated from the following file:

src/include/RTRefls.h

Static Public Member Functions

Public Attributes

Detailed Description

template<class T> class RTRefls< T >

Member Function Documentation

◆ common1()

◆ common2()

◆ ge()

◆ gh()

◆ gp()

◆ gpl()

◆ ne()

◆ nh()

◆ np()

◆ npl()

template<class T>
class RTRefls< T >