o2::math_utils::detail Namespace Reference

Namespaces
namespace	row_offsets_utils

Classes
struct	Assign
struct	Assign< T, D1, D2, A, MatRepSymGPU< T, D1 >, MatRepStdGPU< T, D1, D2 > >
struct	Assign< T, D1, D2, A, MatRepSymGPU< T, D1 >, MatRepSymGPU< T, D1 > >
struct	AssignSym
class	Bracket
struct	Check
struct	Check< false >
struct	CircleXY
class	Expr
struct	GPUPoint2D
struct	GPUPoint3D
class	IntervalXY
class	Inverter
	Inversion. More...
class	MatRepStdGPU
	SMatReprStd starting port here. More...
class	MatRepSymGPU
class	MatrixMulOpGPU
struct	meta_dot
struct	meta_dot< 0 >
struct	meta_matrix_dot
struct	meta_matrix_dot< 0 >
struct	MultPolicyGPU
class	SMatrixGPU
struct	SMatrixIdentity
	SMatrixGPU starting port here. More...
struct	SMatrixNoInit
struct	StatAccumulator
class	SVectorGPU
class	TransposeOpGPU
struct	TranspPolicyGPU
struct	TranspPolicyGPU< T, D1, D2, MatRepSymGPU< T, D1 > >

Functions
template<typename T >
	GPUhdi () T copysign(T x
template<class T >
	GPUdi () int nint(T x)
	GPUdi () unsigned int clz(unsigned int val)
template<>
	GPUhdi () double copysign(double x
template<>
	GPUhdi () double sqrt(double x)
template<>
	GPUdi () int nint(double x)
template<>
	GPUdi () bool finite(double x)
template<>
	GPUdi () double log(double x)
int	numberOfBitsSet (uint32_t x)
template<typename T >
constexpr uint32_t	bit2Mask (T v)
template<typename T , typename... Args>
constexpr uint32_t	bit2Mask (T first, Args... args)
template<typename T >
	GPUdi () T &IntervalXY< T >
template<typename T >
	GPUhdi () void bringTo02Pi(T &phi)
template<typename T >
T	to02PiGen (T phi)
template<typename T >
void	bringTo02PiGen (T &phi)
template<typename T >
T	toPMPiGen (T phi)
template<typename T >
void	bringToPMPiGen (T &phi)
template<>
	GPUhdi () void sincos(double ang
template<typename T >
std::tuple< T, T >	rotateZ (T xL, T yL, T snAlp, T csAlp)
	if (!okForPhiMin(phi0, phi1))
	if (phi0 > phi1)
	bringTo02Pi (phi)
	if (del< 0)
return	copysign< T > (atan2P(o2::gpu::GPUCommonMath::Abs(y), x), y)
template<>
	GPUdi () double twoPi()
template<>
	GPUdi () double pi()
template<>
	GPUdi () double tan(double x)
template<>
	GPUdi () double sin(double x)
template<>
	GPUdi () double atan2(double y
template<>
	GPUdi () double atan(double x)
template<>
	GPUdi () double asin(double x)
template<>
	GPUdi () double acos(double x)
template<>
	GPUdi () double cos(double x)
template<class T , unsigned int D>
	GPUdi () T *SVectorGPU< T
template<class T , unsigned int N>
	GPUhdi () const T &SVectorGPU< T
template<class T , unsigned int N>
	GPUdi () const T &SVectorGPU< T
template<class T , unsigned int N>
	GPUd () SVectorGPU< T
template<class T , unsigned int D1, unsigned int D2, class R , typename Y , typename X = Y> requires (sizeof(typename X::traits_type::pos_type) != 0)
	GPUd () X &operator<<(Y &y
template<class T , unsigned int D1, unsigned int D2, class R >
const SMatrixGPU< T, D1, D2, R > &	GPUdi () SMatrixGPU< T
template<class T , unsigned int D1, unsigned int D2, class R >
	GPUdi () SMatrixGPU< T
template<class R2 >
	GPUd () SMatrixGPU< T
template<class T , unsigned int D1, unsigned int D2, class R >
	GPUdi () const T &SMatrixGPU< T
template<class T , unsigned int D1, unsigned int D, unsigned int D2, class R1 , class R2 >
	GPUdi () Expr< MatrixMulOpGPU< SMatrixGPU< T
MultPolicyGPU< T, R1, R2 >::RepType	operator* (const SMatrixGPU< T, D1, D, R1 > &lhs, const SMatrixGPU< T, D, D2, R2 > &rhs)
D1	operator* (const SMatrixGPU< T, D1, D2, R > &rhs, const SVectorGPU< T, D2 > &lhs)
TranspPolicyGPU< T, D1, D2, R >::RepType	Transpose (const SMatrixGPU< T, D1, D2, R > &rhs)
MatRepSymGPU< T, D1 >	Similarity (const SMatrixGPU< T, D1, D2, R > &lhs, const SMatrixGPU< T, D2, D2, MatRepSymGPU< T, D2 > > &rhs)

Variables
T	y
T &	s
T T &	c
T	yL
T T &	xG
T T T &	yG = xL * snAlp + yL * csAlp
T T T T	snAlp
T T T T T	csAlp
T T &	xL
T	phi
template<typename T >
return((dphi > 0 &&dphi< constants::math::PI)||dphi< -constants::math::PI) ? true	GPUhdi () const expr bool okForPhiMax(T phiMax
return((dphi< 0 &&dphi > -constants::math::PI)||dphi > constants::math::PI) ? true T	phi1
	else
	del = phi1 - phi0
T	x
auto	atan
auto	atan2P
D &	lhs
D const SVectorGPU< T, D > &	rhs
const SMatrixGPU< T, D1, D2, R >	D1
const SMatrixGPU< T, D1, D2, R >	D2
	D
	R1
	SMatrixGPU< T, D, D2, R2 >
	T
	R

Function Documentation

bit2Mask() [1/2]

template<typename T , typename... Args>

constexpr uint32_t o2::math_utils::detail::bit2Mask ( T  first, Args...  args  )

constexpr

Definition at line 46 of file bitOps.h.

bit2Mask() [2/2]

template<typename T >

constexpr uint32_t o2::math_utils::detail::bit2Mask ( T  v )

constexpr

Definition at line 40 of file bitOps.h.

bringTo02Pi()

o2::math_utils::detail::bringTo02Pi

(

phi

)

bringTo02PiGen()

template<typename T >

void o2::math_utils::detail::bringTo02PiGen ( T &  phi )

inline

Definition at line 68 of file trigonometric.h.

bringToPMPiGen()

template<typename T >

void o2::math_utils::detail::bringToPMPiGen ( T &  phi )

inline

Definition at line 107 of file trigonometric.h.

copysign< T >()

return o2::math_utils::detail::copysign< T >	(	atan2P(o2::gpu::GPUCommonMath::Abs(y), x)	,
		y
	)

GPUd() [1/3]

template<class R2 >

o2::math_utils::detail::GPUd

(

)

GPUd() [2/3]

template<class T , unsigned int N>

o2::math_utils::detail::GPUd

(

)

GPUd() [3/3]

template<class T , unsigned int D1, unsigned int D2, class R , typename Y , typename X = Y>
requires (sizeof(typename X::traits_type::pos_type) != 0)

o2::math_utils::detail::GPUd

(

)

&

GPUdi() [1/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 114 of file basicMath.h.

GPUdi() [2/21]

template<class T , unsigned int D1, unsigned int D2, class R >

o2::math_utils::detail::GPUdi

(

)

const &

GPUdi() [3/21]

template<class T , unsigned int N>

o2::math_utils::detail::GPUdi

(

)

const &

GPUdi() [4/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 405 of file trigonometric.h.

GPUdi() [5/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 400 of file trigonometric.h.

GPUdi() [6/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 395 of file trigonometric.h.

GPUdi() [7/21]

template<>

o2::math_utils::detail::GPUdi

(

)

GPUdi() [8/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 410 of file trigonometric.h.

GPUdi() [9/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 119 of file basicMath.h.

GPUdi() [10/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 373 of file trigonometric.h.

GPUdi() [11/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 385 of file trigonometric.h.

GPUdi() [12/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 380 of file trigonometric.h.

GPUdi() [13/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 361 of file trigonometric.h.

GPUdi() [14/21]

template<class T , unsigned int D1, unsigned int D, unsigned int D2, class R1 , class R2 >

o2::math_utils::detail::GPUdi

(

)

GPUdi() [15/21]

template<>

o2::math_utils::detail::GPUdi

(

)

Definition at line 109 of file basicMath.h.

GPUdi() [16/21]

template<class T >

o2::math_utils::detail::GPUdi

(

)

Definition at line 66 of file basicMath.h.

GPUdi() [17/21]

template<class T , unsigned int D1, unsigned int D2, class R >

const SMatrixGPU< T, D1, D2, R > & o2::math_utils::detail::GPUdi

(

)

GPUdi() [18/21]

template<class T , unsigned int D1, unsigned int D2, class R >

o2::math_utils::detail::GPUdi

(

)

GPUdi() [19/21]

template<typename T >

o2::math_utils::detail::GPUdi

(

)

&

Definition at line 130 of file IntervalXY.h.

GPUdi() [20/21]

template<class T , unsigned int D>

o2::math_utils::detail::GPUdi

(

)

GPUdi() [21/21]

o2::math_utils::detail::GPUdi

(

)

Definition at line 77 of file basicMath.h.

GPUhdi() [1/6]

template<class T , unsigned int N>

o2::math_utils::detail::GPUhdi

(

)

const &

GPUhdi() [2/6]

template<>

o2::math_utils::detail::GPUhdi

(

)

Definition at line 104 of file basicMath.h.

GPUhdi() [3/6]

template<>

o2::math_utils::detail::GPUhdi

(

)

Definition at line 100 of file basicMath.h.

GPUhdi() [4/6]

template<typename T >

o2::math_utils::detail::GPUhdi

(

)

Definition at line 54 of file basicMath.h.

GPUhdi() [5/6]

template<typename T >

o2::math_utils::detail::GPUhdi

(

)

&

Definition at line 48 of file trigonometric.h.

GPUhdi() [6/6]

template<>

o2::math_utils::detail::GPUhdi

(

)

if() [1/3]

o2::math_utils::detail::if

(

!

okForPhiMinphi0, phi1

)

Definition at line 239 of file trigonometric.h.

if() [2/3]

o2::math_utils::detail::if

(

)

Definition at line 264 of file trigonometric.h.

if() [3/3]

o2::math_utils::detail::if	(	phi0	,
		phi1
	)

Definition at line 244 of file trigonometric.h.

numberOfBitsSet()

int o2::math_utils::detail::numberOfBitsSet ( uint32_t  x )

inline

Definition at line 30 of file bitOps.h.

operator*() [1/2]

MultPolicyGPU< T, R1, R2 >::RepType o2::math_utils::detail::operator*	(	const SMatrixGPU< T, D1, D, R1 > &	lhs,
		const SMatrixGPU< T, D, D2, R2 > &	rhs
	)

Definition at line 748 of file SMatrixGPU.h.

operator*() [2/2]

D1 o2::math_utils::detail::operator*	(	const SMatrixGPU< T, D1, D2, R > &	rhs,
		const SVectorGPU< T, D2 > &	lhs
	)

Definition at line 1482 of file SMatrixGPU.h.

rotateZ()

template<typename T >

std::tuple< T, T > o2::math_utils::detail::rotateZ ( T  xL, T  yL, T  snAlp, T  csAlp  )

inline

Definition at line 143 of file trigonometric.h.

Similarity()

MatRepSymGPU< T, D1 > o2::math_utils::detail::Similarity	(	const SMatrixGPU< T, D1, D2, R > &	lhs,
		const SMatrixGPU< T, D2, D2, MatRepSymGPU< T, D2 > > &	rhs
	)

Definition at line 1502 of file SMatrixGPU.h.

to02PiGen()

template<typename T >

T o2::math_utils::detail::to02PiGen ( T  phi )

inline

Definition at line 54 of file trigonometric.h.

toPMPiGen()

template<typename T >

T o2::math_utils::detail::toPMPiGen ( T  phi )

inline

Definition at line 93 of file trigonometric.h.

Transpose()

TranspPolicyGPU< T, D1, D2, R >::RepType o2::math_utils::detail::Transpose

(

const SMatrixGPU< T, D1, D2, R > &

rhs

)

Definition at line 1495 of file SMatrixGPU.h.

Variable Documentation

atan

auto o2::math_utils::detail::atan

Initial value:

= [](T a) -> T {
    
    
    
    constexpr T A = 0.0776509570923569;
    constexpr T B = -0.287434475393028;
    constexpr T C = (Pi / 4 - A - B);
    const T a2 = a * a;
    return ((A * a2 + B) * a2 + C) * a;
  }

Definition at line 279 of file trigonometric.h.

atan2P

auto o2::math_utils::detail::atan2P

Initial value:

= [atan](T yy, T xx) -> T {
    
    constexpr T Pi025 = 1 * Pi / 4;
    constexpr T Pi075 = 3 * Pi / 4;
    const T x1 = xx + yy; 
    const T y1 = yy - xx;
    T phi0 = 0;
    T tan = 0;
    if (xx < 0) { 
      phi0 = Pi075;
      tan = -x1 / y1;
    } else { 
      phi0 = Pi025;
      tan = y1 / x1;
    }
    return phi0 + atan(tan);
  }

Definition at line 290 of file trigonometric.h.

c

double double & o2::math_utils::detail::c

Initial value:

{
  return o2::gpu::GPUCommonMath::SinCos(ang, s, c)

Definition at line 120 of file trigonometric.h.

csAlp

T T T T T o2::math_utils::detail::csAlp

Initial value:

{
  xG = xL * csAlp - yL * snAlp

Definition at line 170 of file trigonometric.h.

D

o2::math_utils::detail::D

Definition at line 747 of file SMatrixGPU.h.

D1

o2::math_utils::detail::D1

Definition at line 529 of file SMatrixGPU.h.

D2

o2::math_utils::detail::D2

Definition at line 529 of file SMatrixGPU.h.

del

return o2::math_utils::detail::del = phi1 - phi0

Definition at line 263 of file trigonometric.h.

else

o2::math_utils::detail::else

Initial value:

{
    phi = 0.5 * (phi0 + phi1)

Definition at line 246 of file trigonometric.h.

GPUhdi

template<typename T >

o2::math_utils::detail::GPUhdi

(

)

const

Definition at line 227 of file trigonometric.h.

lhs

D& o2::math_utils::detail::lhs

Definition at line 190 of file SMatrixGPU.h.

phi

return o2::math_utils::detail::phi

Initial value:

{
  
  const T dphi = phi - phiMin

Definition at line 219 of file trigonometric.h.

phi1

T o2::math_utils::detail::phi1

Initial value:

{
  
  T phi

Definition at line 235 of file trigonometric.h.

R

o2::math_utils::detail::R

Definition at line 1495 of file SMatrixGPU.h.

R1

o2::math_utils::detail::R1

Definition at line 747 of file SMatrixGPU.h.

rhs

D const SVectorGPU<T, D>& o2::math_utils::detail::rhs

Initial value:

{
  return meta_dot<D - 1>::f(lhs, rhs, T())

Definition at line 190 of file SMatrixGPU.h.

s

double & o2::math_utils::detail::s

Definition at line 120 of file trigonometric.h.

SMatrixGPU< T, D, D2, R2 >

o2::math_utils::detail::SMatrixGPU< T, D, D2, R2 >

Definition at line 747 of file SMatrixGPU.h.

snAlp

T T T T o2::math_utils::detail::snAlp

Definition at line 170 of file trigonometric.h.

T

o2::math_utils::detail::T

Definition at line 747 of file SMatrixGPU.h.

x

double o2::math_utils::detail::x

Initial value:

{
  
  
  
  
  constexpr T Pi = 3.1415926535897932384626433832795

Definition at line 271 of file trigonometric.h.

xG

T T& o2::math_utils::detail::xG

Definition at line 170 of file trigonometric.h.

xL

T T& o2::math_utils::detail::xL

Definition at line 179 of file trigonometric.h.

y

double o2::math_utils::detail::y

Initial value:

{
  return o2::gpu::GPUCommonMath::Copysign(x, y)

Definition at line 36 of file basicMath.h.

yG

T o2::math_utils::detail::yG = xL * snAlp + yL * csAlp

Definition at line 170 of file trigonometric.h.

yL

T T T & o2::math_utils::detail::yL

Definition at line 170 of file trigonometric.h.