numeric::fourier Namespace Reference

Classes
class	kiss_dct_state
class	kiss_fft_state
class	kiss_fftnd_state
class	kiss_fftndr_state
class	kiss_fftr_state
class	kiss_fftsplit_state
class	SHT
class	SO3coeffs

Typedefs
typedef std::complex < kiss_fft_scalar >	kiss_fft_cpx
typedef class kiss_fft_state *	kiss_fft_cfg
typedef class kiss_fftsplit_state *	kiss_fftsplit_cfg
typedef class kiss_dct_state *	kiss_dct_cfg
typedef class kiss_fftnd_state *	kiss_fftnd_cfg
typedef class kiss_fftr_state *	kiss_fftr_cfg
typedef class kiss_fftndr_state *	kiss_fftndr_cfg

Functions
void	fft (ObjexxFCL::FArray1D< std::complex< double > > &X, ObjexxFCL::FArray1D< std::complex< double > > &fX)
	1D fft c->c double More...
void	ifft (ObjexxFCL::FArray1D< std::complex< double > > &fX, ObjexxFCL::FArray1D< std::complex< double > > &X)
	1D inverse fft c->c double More...
void	fft (ObjexxFCL::FArray1D< double > &X, ObjexxFCL::FArray1D< std::complex< double > > &fX)
	1D fft r->c double More...
void	ifft (ObjexxFCL::FArray1D< std::complex< double > > &fX, ObjexxFCL::FArray1D< double > &X)
	1D inverse ifft c->r double More...
void	fft (ObjexxFCL::FArray1D< float > &X, ObjexxFCL::FArray1D< std::complex< double > > &fX)
	1D fft r->c float .. wraps double version More...
void	ifft (ObjexxFCL::FArray1D< std::complex< double > > &fX, ObjexxFCL::FArray1D< float > &X)
	1D inverse ifft c->r float ... wraps double version More...
void	fft2 (ObjexxFCL::FArray2D< std::complex< double > > &X, ObjexxFCL::FArray2D< std::complex< double > > &fX)
	2D fft c->c double More...
void	ifft2 (ObjexxFCL::FArray2D< std::complex< double > > &fX, ObjexxFCL::FArray2D< std::complex< double > > &X)
	2D inverse fft c->c double More...
void	fft2 (ObjexxFCL::FArray2D< double > &X, ObjexxFCL::FArray2D< std::complex< double > > &fX)
	2D fft r->c double More...
void	ifft2 (ObjexxFCL::FArray2D< std::complex< double > > &fX, ObjexxFCL::FArray2D< double > &X)
	2D inverse ifft c->r double More...
void	fft2 (ObjexxFCL::FArray2D< float > &X, ObjexxFCL::FArray2D< std::complex< double > > &fX)
	2D fft r->c float More...
void	ifft2 (ObjexxFCL::FArray2D< std::complex< double > > &fX, ObjexxFCL::FArray2D< float > &X)
	2D inverse ifft c->r float More...
void	fft3 (ObjexxFCL::FArray3D< std::complex< double > > const &X, ObjexxFCL::FArray3D< std::complex< double > > &fX)
	3D fft c->c double More...
void	ifft3 (ObjexxFCL::FArray3D< std::complex< double > > const &fX, ObjexxFCL::FArray3D< std::complex< double > > &X)
	3D inverse fft c->c double More...
void	fft3_dynamic (ObjexxFCL::FArray3D< std::complex< double > > &X, ObjexxFCL::FArray3D< std::complex< double > > &fX)
	3D fft c->c double with no static More...
void	ifft3_dynamic (ObjexxFCL::FArray3D< std::complex< double > > &fX, ObjexxFCL::FArray3D< std::complex< double > > &X)
	3D inverse fft c->c doublewith no static More...
void	fft3 (ObjexxFCL::FArray3D< double > const &X, ObjexxFCL::FArray3D< std::complex< double > > &fX)
	3D fft r->c double More...
void	ifft3 (ObjexxFCL::FArray3D< std::complex< double > > const &fX, ObjexxFCL::FArray3D< double > &X)
	3D inverse ifft c->r double More...
void	fft3 (ObjexxFCL::FArray3D< float > const &X, ObjexxFCL::FArray3D< std::complex< double > > &fX)
	3D fft r->c float More...
void	ifft3 (ObjexxFCL::FArray3D< std::complex< double > > const &fX, ObjexxFCL::FArray3D< float > &X)
	3D inverse ifft c->r float More...
kiss_fft_cpx *	get_scratch_buff (size_t nbuf)
kiss_fft_cpx *	get_tmp_buff (size_t nbuf)
void	kf_bfly2 (kiss_fft_cpx *Fout, const size_t fstride, const kiss_fft_cfg st, int m)
void	kf_bfly4 (kiss_fft_cpx *Fout, const size_t fstride, const kiss_fft_cfg st, const size_t m)
void	kf_bfly3 (kiss_fft_cpx *Fout, const size_t fstride, const kiss_fft_cfg st, size_t m)
void	kf_bfly5 (kiss_fft_cpx *Fout, const size_t fstride, const kiss_fft_cfg st, int m)
void	kf_bfly_generic (kiss_fft_cpx *Fout, const size_t fstride, const kiss_fft_cfg st, int m, int p)
void	kf_work (kiss_fft_cpx *Fout, const kiss_fft_cpx *f, const size_t fstride, int in_stride, int *factors, const kiss_fft_cfg st)
void	kiss_fft_stride (kiss_fft_cfg st, const kiss_fft_cpx *fin, kiss_fft_cpx *fout, int in_stride)
void	kiss_fft (kiss_fft_cfg cfg, const kiss_fft_cpx *fin, kiss_fft_cpx *fout)
void	kiss_fft_split (kiss_fftsplit_cfg st, const kiss_fft_scalar *rin, const kiss_fft_scalar *iin, kiss_fft_scalar *rout, kiss_fft_scalar *iout, int fin_stride, int fout_stride)
void	kiss_fft_cleanup (void)
int	kiss_fft_next_fast_size (int n)
void	kiss_fftr (kiss_fftr_cfg st, const kiss_fft_scalar *timedata, kiss_fft_cpx *freqdata)
	real fft More...
void	kiss_fftri (kiss_fftr_cfg st, const kiss_fft_cpx *freqdata, kiss_fft_scalar *timedata)
void	kiss_dct (kiss_dct_cfg st, const kiss_fft_scalar *timedata, kiss_fft_scalar *freqdata)
	dct-II More...
void	kiss_idct (kiss_dct_cfg st, const kiss_fft_scalar *freqdata, kiss_fft_scalar *timedata)
	idct-II (dct-iii) More...
void	kiss_fftnd (kiss_fftnd_cfg st, const kiss_fft_cpx *fin, kiss_fft_cpx *fout)
	multidim fft More...
void	kiss_fftndr (kiss_fftndr_cfg st, const kiss_fft_scalar *timedata, kiss_fft_cpx *freqdata)
void	kiss_fftndri (kiss_fftndr_cfg st, const kiss_fft_cpx *freqdata, kiss_fft_scalar *timedata)
void	kf_cexp (kiss_fft_cpx &x, kiss_fft_scalar phase)
int	kiss_fftr_next_fast_size_real (int n)
void	kf_factor (int n, int *facbuf)
template<class T >
const T &	local_max (const T &a, const T &b)
void	transpose_so3 (ObjexxFCL::FArray3D< std::complex< double > > &arrayIn, ObjexxFCL::FArray3D< std::complex< double > > &arrayOut, int m, int n)

Typedef Documentation

typedef class kiss_dct_state* numeric::fourier::kiss_dct_cfg

typedef class kiss_fft_state* numeric::fourier::kiss_fft_cfg

typedef std::complex< kiss_fft_scalar > numeric::fourier::kiss_fft_cpx

typedef class kiss_fftnd_state* numeric::fourier::kiss_fftnd_cfg

typedef class kiss_fftndr_state* numeric::fourier::kiss_fftndr_cfg

typedef class kiss_fftr_state* numeric::fourier::kiss_fftr_cfg

typedef class kiss_fftsplit_state* numeric::fourier::kiss_fftsplit_cfg

Function Documentation

void numeric::fourier::fft	(	ObjexxFCL::FArray1D< std::complex< double > > &	X,
		ObjexxFCL::FArray1D< std::complex< double > > &	fX
	)

1D fft c->c double

References kiss_fft(), numeric::fourier::kiss_fft_state::resize(), and ObjexxFCL::format::X().

Referenced by fft().

void numeric::fourier::fft	(	ObjexxFCL::FArray1D< double > &	X,
		ObjexxFCL::FArray1D< std::complex< double > > &	fX
	)

1D fft r->c double

References ObjexxFCL::FArray1D< typename >::dimension(), fft(), ObjexxFCL::FArray1D< typename >::I1(), and ObjexxFCL::IndexRange::size().

void numeric::fourier::fft	(	ObjexxFCL::FArray1D< float > &	X,
		ObjexxFCL::FArray1D< std::complex< double > > &	fX
	)

1D fft r->c float .. wraps double version

1D fft r->c float

References ObjexxFCL::FArray1D< typename >::dimension(), fft(), and ObjexxFCL::FArray1D< typename >::I1().

void numeric::fourier::fft2	(	ObjexxFCL::FArray2D< std::complex< double > > &	X,
		ObjexxFCL::FArray2D< std::complex< double > > &	fX
	)

2D fft c->c double

References kiss_fftnd(), numeric::fourier::kiss_fftnd_state::resize(), and ObjexxFCL::format::X().

Referenced by correct_dunbrack(), and fft2().

void numeric::fourier::fft2	(	ObjexxFCL::FArray2D< double > &	X,
		ObjexxFCL::FArray2D< std::complex< double > > &	fX
	)

2D fft r->c double

References ObjexxFCL::FArray2D< typename >::dimension(), fft2(), ObjexxFCL::FArray2D< typename >::I1(), ObjexxFCL::FArray2D< typename >::I2(), and ObjexxFCL::IndexRange::size().

void numeric::fourier::fft2	(	ObjexxFCL::FArray2D< float > &	X,
		ObjexxFCL::FArray2D< std::complex< double > > &	fX
	)

2D fft r->c float

References ObjexxFCL::FArray2D< typename >::dimension(), fft2(), ObjexxFCL::FArray2D< typename >::I1(), and ObjexxFCL::FArray2D< typename >::I2().

void numeric::fourier::fft3	(	ObjexxFCL::FArray3D< std::complex< double > > const &	X,
		ObjexxFCL::FArray3D< std::complex< double > > &	fX
	)

3D fft c->c double

References kiss_fftnd(), numeric::fourier::kiss_fftnd_state::resize(), and ObjexxFCL::format::X().

Referenced by densityTools(), and fft3().

void numeric::fourier::fft3	(	ObjexxFCL::FArray3D< double > const &	X,
		ObjexxFCL::FArray3D< std::complex< double > > &	fX
	)

3D fft r->c double

References ObjexxFCL::FArray3D< typename >::dimension(), fft3(), ObjexxFCL::FArray3D< typename >::I1(), ObjexxFCL::FArray3D< typename >::I2(), and ObjexxFCL::FArray3D< typename >::I3().

void numeric::fourier::fft3	(	ObjexxFCL::FArray3D< float > const &	X,
		ObjexxFCL::FArray3D< std::complex< double > > &	fX
	)

3D fft r->c float

References ObjexxFCL::FArray3D< typename >::dimension(), fft3(), ObjexxFCL::FArray3D< typename >::I1(), ObjexxFCL::FArray3D< typename >::I2(), and ObjexxFCL::FArray3D< typename >::I3().

void numeric::fourier::fft3_dynamic	(	ObjexxFCL::FArray3D< std::complex< double > > &	X,
		ObjexxFCL::FArray3D< std::complex< double > > &	fX
	)

3D fft c->c double with no static

References kiss_fftnd(), numeric::fourier::kiss_fftnd_state::resize(), and ObjexxFCL::format::X().

kiss_fft_cpx* numeric::fourier::get_scratch_buff

(

size_t

nbuf

)

Referenced by kf_bfly_generic(), and kiss_fft_cleanup().

kiss_fft_cpx* numeric::fourier::get_tmp_buff

(

size_t

nbuf

)

Referenced by kiss_dct(), kiss_fft_cleanup(), kiss_fft_split(), kiss_fft_stride(), and kiss_idct().

void numeric::fourier::ifft	(	ObjexxFCL::FArray1D< std::complex< double > > &	fX,
		ObjexxFCL::FArray1D< std::complex< double > > &	X
	)

1D inverse fft c->c double

References kiss_fft(), numeric::fourier::kiss_fft_state::resize(), and ObjexxFCL::format::X().

Referenced by ifft().

void numeric::fourier::ifft	(	ObjexxFCL::FArray1D< std::complex< double > > &	fX,
		ObjexxFCL::FArray1D< double > &	X
	)

1D inverse ifft c->r double

References ObjexxFCL::FArray1D< typename >::dimension(), ObjexxFCL::FArray1D< typename >::I1(), ifft(), and ObjexxFCL::IndexRange::size().

void numeric::fourier::ifft	(	ObjexxFCL::FArray1D< std::complex< double > > &	fX,
		ObjexxFCL::FArray1D< float > &	X
	)

1D inverse ifft c->r float ... wraps double version

1D inverse ifft c->r float

References ObjexxFCL::FArray1D< typename >::dimension(), ObjexxFCL::FArray1D< typename >::I1(), and ifft().

void numeric::fourier::ifft2	(	ObjexxFCL::FArray2D< std::complex< double > > &	fX,
		ObjexxFCL::FArray2D< std::complex< double > > &	X
	)

2D inverse fft c->c double

References kiss_fftnd(), numeric::fourier::kiss_fftnd_state::resize(), and ObjexxFCL::format::X().

Referenced by correct_dunbrack(), and ifft2().

void numeric::fourier::ifft2	(	ObjexxFCL::FArray2D< std::complex< double > > &	fX,
		ObjexxFCL::FArray2D< double > &	X
	)

2D inverse ifft c->r double

References ObjexxFCL::FArray2D< typename >::dimension(), ObjexxFCL::FArray2D< typename >::I1(), ifft2(), and ObjexxFCL::IndexRange::size().

void numeric::fourier::ifft2	(	ObjexxFCL::FArray2D< std::complex< double > > &	fX,
		ObjexxFCL::FArray2D< float > &	X
	)

2D inverse ifft c->r float

References ObjexxFCL::FArray2D< typename >::dimension(), and ifft2().

void numeric::fourier::ifft3	(	ObjexxFCL::FArray3D< std::complex< double > > const &	fX,
		ObjexxFCL::FArray3D< std::complex< double > > &	X
	)

3D inverse fft c->c double

References kiss_fftnd(), numeric::fourier::kiss_fftnd_state::resize(), and ObjexxFCL::format::X().

Referenced by ifft3().

void numeric::fourier::ifft3	(	ObjexxFCL::FArray3D< std::complex< double > > const &	fX,
		ObjexxFCL::FArray3D< double > &	X
	)

3D inverse ifft c->r double

References ObjexxFCL::FArray3D< typename >::dimension(), and ifft3().

void numeric::fourier::ifft3	(	ObjexxFCL::FArray3D< std::complex< double > > const &	fX,
		ObjexxFCL::FArray3D< float > &	X
	)

3D inverse ifft c->r float

References ObjexxFCL::FArray3D< typename >::dimension(), and ifft3().

void numeric::fourier::ifft3_dynamic	(	ObjexxFCL::FArray3D< std::complex< double > > &	fX,
		ObjexxFCL::FArray3D< std::complex< double > > &	X
	)

3D inverse fft c->c doublewith no static

3D inverse fft c->c double with no static

References kiss_fftnd(), numeric::fourier::kiss_fftnd_state::resize(), and ObjexxFCL::format::X().

void numeric::fourier::kf_bfly2	(	kiss_fft_cpx *	Fout,
		const size_t	fstride,
		const kiss_fft_cfg	st,
		int	m
	)

References basic::options::OptionKeys::in::file::t.

Referenced by kf_work().

void numeric::fourier::kf_bfly3	(	kiss_fft_cpx *	Fout,
		const size_t	fstride,
		const kiss_fft_cfg	st,
		size_t	m
	)

References basic::options::OptionKeys::james::real, and basic::options::OptionKeys::out::path::scratch.

Referenced by kf_work().

void numeric::fourier::kf_bfly4	(	kiss_fft_cpx *	Fout,
		const size_t	fstride,
		const kiss_fft_cfg	st,
		const size_t	m
	)

References basic::options::OptionKeys::james::real, and basic::options::OptionKeys::out::path::scratch.

Referenced by kf_work().

void numeric::fourier::kf_bfly5	(	kiss_fft_cpx *	Fout,
		const size_t	fstride,
		const kiss_fft_cfg	st,
		int	m
	)

References basic::options::OptionKeys::james::real, and basic::options::OptionKeys::out::path::scratch.

Referenced by kf_work().

void numeric::fourier::kf_bfly_generic	(	kiss_fft_cpx *	Fout,
		const size_t	fstride,
		const kiss_fft_cfg	st,
		int	m,
		int	p
	)

References get_scratch_buff(), basic::options::OptionKeys::score::fiber_diffraction::p, and basic::options::OptionKeys::in::file::t.

Referenced by kf_work().

void numeric::fourier::kf_cexp ( kiss_fft_cpx &  x, kiss_fft_scalar  phase  )

inline

Referenced by numeric::fourier::kiss_fft_state::kiss_fft_state(), numeric::fourier::kiss_fft_state::resize(), numeric::fourier::kiss_dct_state::resize(), and numeric::fourier::kiss_fftr_state::resize().

void numeric::fourier::kf_factor	(	int	n,
		int *	facbuf
	)

References basic::options::OptionKeys::score::fiber_diffraction::p.

Referenced by numeric::fourier::kiss_fft_state::kiss_fft_state(), and numeric::fourier::kiss_fft_state::resize().

void numeric::fourier::kf_work	(	kiss_fft_cpx *	Fout,
		const kiss_fft_cpx *	f,
		const size_t	fstride,
		int	in_stride,
		int *	factors,
		const kiss_fft_cfg	st
	)

References demo.D060_Folding::f, kf_bfly2(), kf_bfly3(), kf_bfly4(), kf_bfly5(), kf_bfly_generic(), and basic::options::OptionKeys::score::fiber_diffraction::p.

Referenced by kiss_fft_stride().

void numeric::fourier::kiss_dct	(	kiss_dct_cfg	st,
		const kiss_fft_scalar *	timedata,
		kiss_fft_scalar *	freqdata
	)

dct-II

References utility::io::oc::cerr, utility::options::OptionKeys::options::exit, get_tmp_buff(), and kiss_fft().

Referenced by numeric::fourier::SO3coeffs::InvLegendre(), numeric::fourier::SO3coeffs::Legendre(), and numeric::fourier::SHT::setup_Pmls().

void numeric::fourier::kiss_fft	(	kiss_fft_cfg	cfg,
		const kiss_fft_cpx *	fin,
		kiss_fft_cpx *	fout
	)

References kiss_fft_stride().

Referenced by fft(), ifft(), numeric::fourier::SHT::inverseSo3(), kiss_dct(), kiss_fft_split(), kiss_fftr(), kiss_fftri(), and kiss_idct().

void numeric::fourier::kiss_fft_cleanup

(

void

)

References get_scratch_buff(), and get_tmp_buff().

int numeric::fourier::kiss_fft_next_fast_size

(

int

n

)

Referenced by kiss_fftr_next_fast_size_real().

void numeric::fourier::kiss_fft_split	(	kiss_fftsplit_cfg	st,
		const kiss_fft_scalar *	rin,
		const kiss_fft_scalar *	iin,
		kiss_fft_scalar *	rout,
		kiss_fft_scalar *	iout,
		int	fin_stride,
		int	fout_stride
	)

References get_tmp_buff(), and kiss_fft().

Referenced by numeric::fourier::SHT::forwardS2(), and numeric::fourier::SHT::inverseS2().

void numeric::fourier::kiss_fft_stride	(	kiss_fft_cfg	st,
		const kiss_fft_cpx *	fin,
		kiss_fft_cpx *	fout,
		int	in_stride
	)

References get_tmp_buff(), and kf_work().

Referenced by kiss_fft(), and kiss_fftnd().

void numeric::fourier::kiss_fftnd	(	kiss_fftnd_cfg	st,
		const kiss_fft_cpx *	fin,
		kiss_fft_cpx *	fout
	)

multidim fft

References kiss_fft_stride().

Referenced by fft2(), fft3(), fft3_dynamic(), ifft2(), ifft3(), ifft3_dynamic(), kiss_fftndr(), and kiss_fftndri().

void numeric::fourier::kiss_fftndr	(	kiss_fftndr_cfg	st,
		const kiss_fft_scalar *	timedata,
		kiss_fft_cpx *	freqdata
	)

References kiss_fftnd(), kiss_fftr(), and max().

void numeric::fourier::kiss_fftndri	(	kiss_fftndr_cfg	st,
		const kiss_fft_cpx *	freqdata,
		kiss_fft_scalar *	timedata
	)

References kiss_fftnd(), kiss_fftri(), and max().

void numeric::fourier::kiss_fftr	(	kiss_fftr_cfg	st,
		const kiss_fft_scalar *	timedata,
		kiss_fft_cpx *	freqdata
	)

real fft

References utility::io::oc::cerr, utility::options::OptionKeys::options::exit, and kiss_fft().

Referenced by kiss_fftndr().

int numeric::fourier::kiss_fftr_next_fast_size_real ( int  n )

inline

References kiss_fft_next_fast_size().

void numeric::fourier::kiss_fftri	(	kiss_fftr_cfg	st,
		const kiss_fft_cpx *	freqdata,
		kiss_fft_scalar *	timedata
	)

References utility::io::oc::cerr, utility::options::OptionKeys::options::exit, kiss_fft(), and basic::options::OptionKeys::james::real.

Referenced by kiss_fftndri().

void numeric::fourier::kiss_idct	(	kiss_dct_cfg	st,
		const kiss_fft_scalar *	freqdata,
		kiss_fft_scalar *	timedata
	)

idct-II (dct-iii)

References utility::io::oc::cerr, utility::options::OptionKeys::options::exit, get_tmp_buff(), kiss_fft(), and kiss_fft_scalar.

template<class T >

const T& numeric::fourier::local_max	(	const T &	a,
		const T &	b
	)

References basic::options::OptionKeys::score::fiber_diffraction::a.

Referenced by numeric::fourier::SO3coeffs::coefLoc().

void numeric::fourier::transpose_so3	(	ObjexxFCL::FArray3D< std::complex< double > > &	arrayIn,
		ObjexxFCL::FArray3D< std::complex< double > > &	arrayOut,
		int	m,
		int	n
	)

Referenced by numeric::fourier::SHT::inverseSo3().