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 69 of file trigonometric.h.

◆ bringToPMPiGen()

template<typename T >

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

inline

Definition at line 108 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 115 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 406 of file trigonometric.h.

◆ GPUdi() [5/21]

template<>

o2::math_utils::detail::GPUdi ( )

Definition at line 401 of file trigonometric.h.

◆ GPUdi() [6/21]

template<>

o2::math_utils::detail::GPUdi ( )

Definition at line 396 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 411 of file trigonometric.h.

◆ GPUdi() [9/21]

template<>

o2::math_utils::detail::GPUdi ( )

Definition at line 124 of file basicMath.h.

◆ GPUdi() [10/21]

template<>

o2::math_utils::detail::GPUdi ( )

Definition at line 374 of file trigonometric.h.

◆ GPUdi() [11/21]

template<>

o2::math_utils::detail::GPUdi ( )

Definition at line 386 of file trigonometric.h.

◆ GPUdi() [12/21]

template<>

o2::math_utils::detail::GPUdi ( )

Definition at line 381 of file trigonometric.h.

◆ GPUdi() [13/21]

template<>

o2::math_utils::detail::GPUdi ( )

Definition at line 362 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 110 of file basicMath.h.

◆ GPUdi() [16/21]

template<class T >

o2::math_utils::detail::GPUdi ( )

Definition at line 67 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 78 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 105 of file basicMath.h.

◆ GPUhdi() [3/6]

template<>

o2::math_utils::detail::GPUhdi ( )

Definition at line 101 of file basicMath.h.

◆ GPUhdi() [4/6]

template<typename T >

o2::math_utils::detail::GPUhdi ( )

Definition at line 55 of file basicMath.h.

◆ GPUhdi() [5/6]

template<typename T >

o2::math_utils::detail::GPUhdi ( ) &

Definition at line 49 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 240 of file trigonometric.h.

◆ if() [2/3]

o2::math_utils::detail::if ( )

Definition at line 265 of file trigonometric.h.

◆ if() [3/3]

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

Definition at line 245 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 750 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 1484 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 144 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 1504 of file SMatrixGPU.h.

◆ to02PiGen()

template<typename T >

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

inline

Definition at line 55 of file trigonometric.h.

◆ toPMPiGen()

template<typename T >

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

inline

Definition at line 94 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 1497 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 280 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 291 of file trigonometric.h.

◆ c

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

Initial value:

{

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

c

uint32_t c

Definition RawData.h:2

Definition at line 121 of file trigonometric.h.

◆ csAlp

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

Initial value:

{

xG = xL * csAlp - yL * snAlp

o2::math_utils::detail::snAlp

T T T T snAlp

Definition trigonometric.h:171

o2::math_utils::detail::xG

T T & xG

Definition trigonometric.h:171

o2::math_utils::detail::csAlp

T T T T T csAlp

Definition trigonometric.h:172

o2::math_utils::detail::xL

T T & xL

Definition trigonometric.h:180

o2::math_utils::detail::yL

T yL

Definition trigonometric.h:171

Definition at line 171 of file trigonometric.h.

◆ D

o2::math_utils::detail::D

Definition at line 749 of file SMatrixGPU.h.

◆ D1

o2::math_utils::detail::D1

Definition at line 531 of file SMatrixGPU.h.

◆ D2

o2::math_utils::detail::D2

Definition at line 531 of file SMatrixGPU.h.

◆ del

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

Definition at line 264 of file trigonometric.h.

◆ else

o2::math_utils::detail::else

Initial value:

{

phi = 0.5 * (phi0 + phi1)

o2::math_utils::detail::phi1

return((dphi< 0 &&dphi > -constants::math::PI)||dphi > constants::math::PI) ? true T phi1

Definition trigonometric.h:237

o2::math_utils::detail::phi

T phi

Definition trigonometric.h:221

Definition at line 247 of file trigonometric.h.

◆ GPUhdi

template<typename T >

o2::math_utils::detail::GPUhdi ( ) const

Definition at line 228 of file trigonometric.h.

◆ lhs

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

Definition at line 192 of file SMatrixGPU.h.

◆ phi

return o2::math_utils::detail::phi

Initial value:

{
  
  const T dphi = phi - phiMin

Definition at line 220 of file trigonometric.h.

◆ phi1

T o2::math_utils::detail::phi1

Initial value:

{
  
  T phi

Definition at line 236 of file trigonometric.h.

◆ R

o2::math_utils::detail::R

Definition at line 1497 of file SMatrixGPU.h.

◆ R1

o2::math_utils::detail::R1

Definition at line 749 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 192 of file SMatrixGPU.h.

◆ s

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

Definition at line 121 of file trigonometric.h.

◆ SMatrixGPU< T, D, D2, R2 >

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

Definition at line 749 of file SMatrixGPU.h.

◆ snAlp

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

Definition at line 171 of file trigonometric.h.

◆ T

o2::math_utils::detail::T

Definition at line 749 of file SMatrixGPU.h.

◆ x

double o2::math_utils::detail::x

Initial value:

{
  
  constexpr T Pi = 3.1415926535897932384626433832795

Definition at line 272 of file trigonometric.h.

◆ xG

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

Definition at line 171 of file trigonometric.h.

◆ xL

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

Definition at line 180 of file trigonometric.h.

◆ y

double o2::math_utils::detail::y

Initial value:

{

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

int

x

GLint GLenum GLint x

Definition glcorearb.h:403

Definition at line 37 of file basicMath.h.

◆ yG

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

Definition at line 171 of file trigonometric.h.

◆ yL

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

Definition at line 171 of file trigonometric.h.

Namespaces

Classes

Functions

Variables

Function Documentation

◆ bit2Mask() [1/2]

◆ bit2Mask() [2/2]

◆ bringTo02Pi()

◆ bringTo02PiGen()

◆ bringToPMPiGen()

◆ copysign< T >()

◆ GPUd() [1/3]

◆ GPUd() [2/3]

◆ GPUd() [3/3]

◆ GPUdi() [1/21]

◆ GPUdi() [2/21]

◆ GPUdi() [3/21]

◆ GPUdi() [4/21]

◆ GPUdi() [5/21]

◆ GPUdi() [6/21]

◆ GPUdi() [7/21]

◆ GPUdi() [8/21]

◆ GPUdi() [9/21]

◆ GPUdi() [10/21]

◆ GPUdi() [11/21]

◆ GPUdi() [12/21]

◆ GPUdi() [13/21]

◆ GPUdi() [14/21]

◆ GPUdi() [15/21]

◆ GPUdi() [16/21]

◆ GPUdi() [17/21]

◆ GPUdi() [18/21]

◆ GPUdi() [19/21]

◆ GPUdi() [20/21]

◆ GPUdi() [21/21]

◆ GPUhdi() [1/6]

◆ GPUhdi() [2/6]

◆ GPUhdi() [3/6]

◆ GPUhdi() [4/6]

◆ GPUhdi() [5/6]

◆ GPUhdi() [6/6]

◆ if() [1/3]

◆ if() [2/3]

◆ if() [3/3]

◆ numberOfBitsSet()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ rotateZ()

◆ Similarity()

◆ to02PiGen()

◆ toPMPiGen()

◆ Transpose()

Variable Documentation

◆ atan

◆ atan2P

◆ c

◆ csAlp

◆ D

◆ D1

◆ D2

◆ del

◆ else

◆ GPUhdi

◆ lhs

◆ phi

◆ phi1

◆ R

◆ R1

◆ rhs

◆ s

◆ SMatrixGPU< T, D, D2, R2 >

◆ snAlp

◆ T

◆ x

◆ xG

◆ xL

◆ y

◆ yG

◆ yL