svd_quda.h File Reference

#include <float.h>

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Macros
#define	DEVICEHOST   __device__ __host__
#define	SVDPREC   1e-11
#define	LOG2   0.69314718055994530942
#define	INVALID_DOUBLE   (-DBL_MAX)

Functions
template<class Cmplx >
DEVICEHOST std::remove_reference< decltype(Cmplx::x)>::type	cabs (const Cmplx &z)
template<class T , class U >
DEVICEHOST PromoteTypeId< T, U >::Type	quadSum (const T &a, const U &b)
DEVICEHOST float	getNorm (const Array< complex< float >, 3 > &a)
DEVICEHOST double	getNorm (const Array< complex< double >, 3 > &a)
template<class T >
DEVICEHOST void	constructHHMat (const T &tau, const Array< T, 3 > &v, Matrix< T, 3 > &hh)
template<class Real >
DEVICEHOST void	getLambdaMax (const Matrix< Real, 3 > &b, Real &lambda_max)
template<class Real >
DEVICEHOST void	getGivensRotation (const Real &alpha, const Real &beta, Real &c, Real &s)
template<class Real >
DEVICEHOST void	accumGivensRotation (int index, const Real &c, const Real &s, Matrix< Real, 3 > &m)
template<class Real >
DEVICEHOST void	assignGivensRotation (const Real &c, const Real &s, Matrix< Real, 2 > &m)
template<class Real >
DEVICEHOST void	swap (Real &a, Real &b)
template<class Real >
DEVICEHOST void	smallSVD (Matrix< Real, 2 > &u, Matrix< Real, 2 > &v, Matrix< Real, 2 > &m)
template<class Float >
DEVICEHOST void	getRealBidiagMatrix (const Matrix< complex< Float >, 3 > &mat, Matrix< complex< Float >, 3 > &u, Matrix< complex< Float >, 3 > &v)
template<class Real >
DEVICEHOST void	bdSVD (Matrix< Real, 3 > &u, Matrix< Real, 3 > &v, Matrix< Real, 3 > &b, int max_it)
template<class Float >
DEVICEHOST void	computeSVD (const Matrix< complex< Float >, 3 > &m, Matrix< complex< Float >, 3 > &u, Matrix< complex< Float >, 3 > &v, Float singular_values[3])

Macro Definition Documentation

DEVICEHOST

#define DEVICEHOST   __device__ __host__

Definition at line 6 of file svd_quda.h.

Referenced by accumGivensRotation(), assignGivensRotation(), bdSVD(), constructHHMat(), getGivensRotation(), getLambdaMax(), getNorm(), getRealBidiagMatrix(), quadSum(), smallSVD(), and swap().

INVALID_DOUBLE

#define INVALID_DOUBLE   (-DBL_MAX)

Definition at line 9 of file svd_quda.h.

Referenced by getRealBidiagMatrix().

LOG2

#define LOG2   0.69314718055994530942

Definition at line 8 of file svd_quda.h.

Referenced by smallSVD().

SVDPREC

#define SVDPREC   1e-11

Definition at line 7 of file svd_quda.h.

Referenced by bdSVD().

Function Documentation

accumGivensRotation()

template<class Real >

DEVICEHOST void accumGivensRotation ( int  index, const Real &  c, const Real &  s, Matrix< Real, 3 > &  m  )

inline

Definition at line 115 of file svd_quda.h.

References DEVICEHOST, and quda::s.

Referenced by bdSVD().

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assignGivensRotation()

template<class Real >

DEVICEHOST void assignGivensRotation ( const Real &  c, const Real &  s, Matrix< Real, 2 > &  m  )

inline

Definition at line 129 of file svd_quda.h.

References DEVICEHOST, and quda::s.

Referenced by smallSVD().

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bdSVD()

template<class Real >

DEVICEHOST void bdSVD	(	Matrix< Real, 3 > &	u,
		Matrix< Real, 3 > &	v,
		Matrix< Real, 3 > &	b,
		int	max_it
	)

Definition at line 392 of file svd_quda.h.

References accumGivensRotation(), DEVICEHOST, getGivensRotation(), getLambdaMax(), quda::dslash::it, quda::s, quda::setIdentity(), smallSVD(), and SVDPREC.

Referenced by computeSVD().

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cabs()

template<class Cmplx >

DEVICEHOST std::remove_reference<decltype(Cmplx::x)>::type cabs ( const Cmplx &  z )

inline

Definition at line 17 of file svd_quda.h.

References quda::sqrt().

Referenced by getNorm(), and getRealBidiagMatrix().

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computeSVD()

template<class Float >

DEVICEHOST void computeSVD	(	const Matrix< complex< Float >, 3 > &	m,
		Matrix< complex< Float >, 3 > &	u,
		Matrix< complex< Float >, 3 > &	v,
		Float	singular_values[3]
	)

Definition at line 620 of file svd_quda.h.

References bdSVD(), and conj().

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constructHHMat()

template<class T >

DEVICEHOST void constructHHMat ( const T &  tau, const Array< T, 3 > &  v, Matrix< T, 3 > &  hh  )

inline

Definition at line 61 of file svd_quda.h.

References conj(), DEVICEHOST, quda::outerProd(), and quda::setIdentity().

Referenced by getRealBidiagMatrix().

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getGivensRotation()

template<class Real >

DEVICEHOST void getGivensRotation ( const Real &  alpha, const Real &  beta, Real &  c, Real &  s  )

inline

Definition at line 96 of file svd_quda.h.

References DEVICEHOST, and quda::s.

Referenced by bdSVD(), and smallSVD().

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getLambdaMax()

template<class Real >

DEVICEHOST void getLambdaMax ( const Matrix< Real, 3 > &  b, Real &  lambda_max  )

inline

Definition at line 77 of file svd_quda.h.

References DEVICEHOST, quda::blas::norm1(), and quadSum().

Referenced by bdSVD().

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getNorm() [1/2]

DEVICEHOST float getNorm ( const Array< complex< float >, 3 > &  a )

inline

Definition at line 38 of file svd_quda.h.

References cabs(), DEVICEHOST, and quadSum().

Referenced by getRealBidiagMatrix().

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getNorm() [2/2]

DEVICEHOST double getNorm ( const Array< complex< double >, 3 > &  a )

inline

Definition at line 49 of file svd_quda.h.

References cabs(), DEVICEHOST, and quadSum().

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getRealBidiagMatrix()

template<class Float >

DEVICEHOST void getRealBidiagMatrix	(	const Matrix< complex< Float >, 3 > &	mat,
		Matrix< complex< Float >, 3 > &	u,
		Matrix< complex< Float >, 3 > &	v
	)

Definition at line 260 of file svd_quda.h.

References cabs(), conj(), constructHHMat(), quda::copyColumn(), DEVICEHOST, getNorm(), INVALID_DOUBLE, mat(), quda::blas::norm1(), norm2(), quadSum(), and quda::setIdentity().

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quadSum()

template<class T , class U >

DEVICEHOST PromoteTypeId<T,U>::Type quadSum ( const T &  a, const U &  b  )

inline

Definition at line 28 of file svd_quda.h.

References DEVICEHOST, and quda::sqrt().

Referenced by getLambdaMax(), getNorm(), getRealBidiagMatrix(), and smallSVD().

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smallSVD()

template<class Real >

DEVICEHOST void smallSVD ( Matrix< Real, 2 > &  u, Matrix< Real, 2 > &  v, Matrix< Real, 2 > &  m  )

inline

Definition at line 148 of file svd_quda.h.

References assignGivensRotation(), DEVICEHOST, quda::exp(), getGivensRotation(), quda::log(), LOG2, quadSum(), quda::s, quda::setIdentity(), and swap().

Referenced by bdSVD().

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swap()

template<class Real >

DEVICEHOST void swap ( Real &  a, Real &  b  )

inline

Definition at line 139 of file svd_quda.h.

References DEVICEHOST.

Referenced by quda::CalculateY< from_coarse, Float, fineSpin, fineColor, coarseSpin, coarseColor, Arg >::apply(), quda::EigenSolver::chebyOp(), quda::CACG::operator()(), quda::TRLM::reorder(), and smallSVD().

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