numeric::statistics Namespace Reference

Functions
numeric::Real	kl_divergence (utility::vector1< numeric::Real > const &prior, utility::vector1< numeric::Real > const &posterior)
	Returns the Kullback-Leibler divergence (aka relative entropy) between two discrete probability distributions. More...
numeric::Real	corrcoef (utility::vector1< numeric::Real > const &vec1, utility::vector1< numeric::Real > const &vec2)
numeric::Real	corrcoef_with_provided_mean_and_std_dev (utility::vector1< numeric::Real > const &vec1, numeric::Real m1, numeric::Real sd1, utility::vector1< numeric::Real > const &vec2, numeric::Real m2, numeric::Real sd2)
numeric::Real	cov (utility::vector1< numeric::Real > const &vec1, utility::vector1< numeric::Real > const &vec2)
numeric::Real	cov_with_provided_mean (utility::vector1< numeric::Real > const &vec1, numeric::Real m1, utility::vector1< numeric::Real > const &vec2, numeric::Real m2)
cmplx	errfcx (cmplx z, double relerr)
double	errf (double x)
cmplx	errf (cmplx z, double relerr)
cmplx	errfi (cmplx z, double relerr)
double	errfi (double x)
double	errfc (double x)
cmplx	errfc (cmplx z, double relerr)
double	Dawson (double x)
cmplx	Dawson (cmplx z, double relerr)
static double	sinc (double x, double sinx)
static double	sinh_taylor (double x)
static double	sqr (double x)
cmplx	w (cmplx z, double relerr)
static double	erfcx_y100 (double y100)
double	errfcx (double x)
static double	w_im_y100 (double y100, double x)
double	w_im (double x)
template<class Iterator , typename T >
T	mean (Iterator first, Iterator last, T)
	mean value of an input vector More...
template<class Iterator , typename T >
T	std_dev_with_provided_mean (Iterator first, Iterator last, T mean)
template<class Iterator , typename T >
T	std_dev (Iterator first, Iterator last, T)

Variables
static const double	expa2n2 []
static const unsigned int	expa2n2_length = 52

Function Documentation

numeric::Real numeric::statistics::corrcoef	(	utility::vector1< numeric::Real > const &	vec1,
		utility::vector1< numeric::Real > const &	vec2
	)

Definition at line 58 of file functions.cc.

References corrcoef_with_provided_mean_and_std_dev(), mean(), and std_dev_with_provided_mean().

numeric::Real numeric::statistics::corrcoef_with_provided_mean_and_std_dev	(	utility::vector1< numeric::Real > const &	vec1,
		numeric::Real	m1,
		numeric::Real	sd1,
		utility::vector1< numeric::Real > const &	vec2,
		numeric::Real	m2,
		numeric::Real	sd2
	)

Definition at line 71 of file functions.cc.

References cov().

Referenced by corrcoef().

numeric::Real numeric::statistics::cov	(	utility::vector1< numeric::Real > const &	vec1,
		utility::vector1< numeric::Real > const &	vec2
	)

Definition at line 91 of file functions.cc.

References cov_with_provided_mean(), and mean().

Referenced by corrcoef_with_provided_mean_and_std_dev(), and cov_with_provided_mean().

numeric::Real numeric::statistics::cov_with_provided_mean	(	utility::vector1< numeric::Real > const &	vec1,
		numeric::Real	m1,
		utility::vector1< numeric::Real > const &	vec2,
		numeric::Real	m2
	)

Definition at line 101 of file functions.cc.

References cov().

Referenced by cov().

double numeric::statistics::Dawson

(

double

x

)

Definition at line 297 of file functions.cc.

References w_im().

std::complex< double > numeric::statistics::Dawson	(	cmplx	z,
		double	relerr
	)

Definition at line 303 of file functions.cc.

References C, cexp, cimag, creal, errfcx(), utility::is_nan(), NaN, app.delta_score_per_mutation::res, w(), w_im(), x(), and y().

static double numeric::statistics::erfcx_y100 ( double  y100 )

static

Definition at line 747 of file functions.cc.

Referenced by errfcx().

double numeric::statistics::errf

(

double

x

)

Definition at line 131 of file functions.cc.

References errfcx(), and x().

Referenced by errf(), and errfi().

std::complex< double > numeric::statistics::errf	(	cmplx	z,
		double	relerr
	)

Definition at line 157 of file functions.cc.

References C, cimag, creal, errf(), Inf, utility::is_nan(), NaN, w(), w_im(), x(), and y().

double numeric::statistics::errfc

(

double

x

)

Definition at line 252 of file functions.cc.

References errfcx().

std::complex< double > numeric::statistics::errfc	(	cmplx	z,
		double	relerr
	)

Definition at line 260 of file functions.cc.

References C, cexp, cimag, creal, errfcx(), Inf, w(), w_im(), x(), and y().

std::complex< double > numeric::statistics::errfcx	(	cmplx	z,
		double	relerr
	)

Definition at line 126 of file functions.cc.

References C, cimag, creal, and w().

Referenced by Dawson(), errf(), errfc(), and w().

double numeric::statistics::errfcx

(

double

x

)

Definition at line 1155 of file functions.cc.

References erfcx_y100(), and x().

std::complex< double > numeric::statistics::errfi	(	cmplx	z,
		double	relerr
	)

Definition at line 240 of file functions.cc.

References C, cimag, creal, and errf().

double numeric::statistics::errfi

(

double

x

)

Definition at line 246 of file functions.cc.

References Inf, and w_im().

numeric::Real numeric::statistics::kl_divergence	(	utility::vector1< numeric::Real > const &	prior,
		utility::vector1< numeric::Real > const &	posterior
	)

Returns the Kullback-Leibler divergence (aka relative entropy) between two discrete probability distributions.

Definition at line 38 of file functions.cc.

References numeric::log(), and docking::p.

template<class Iterator , typename T >

T numeric::statistics::mean ( Iterator  first, Iterator  last, T    )

inline

mean value of an input vector

Definition at line 34 of file functions.hh.

References assign_charges::first, amino_acids::size, and test.T007_TracerIO::T.

Referenced by corrcoef(), cov(), main(), std_dev(), and std_dev_with_provided_mean().

static double numeric::statistics::sinc ( double  x, double  sinx  )

inlinestatic

Definition at line 435 of file functions.cc.

References x().

Referenced by w().

static double numeric::statistics::sinh_taylor ( double  x )

inlinestatic

Definition at line 440 of file functions.cc.

References x().

Referenced by w().

static double numeric::statistics::sqr ( double  x )

inlinestatic

Definition at line 445 of file functions.cc.

References x().

Referenced by w().

template<class Iterator , typename T >

T numeric::statistics::std_dev ( Iterator  first, Iterator  last, T    )

inline

Definition at line 66 of file functions.hh.

References mean(), std_dev_with_provided_mean(), and test.T007_TracerIO::T.

template<class Iterator , typename T >

T numeric::statistics::std_dev_with_provided_mean ( Iterator  first, Iterator  last, T  mean  )

inline

Definition at line 50 of file functions.hh.

References assign_charges::first, mean(), amino_acids::size, and test.T007_TracerIO::T.

Referenced by corrcoef(), and std_dev().

std::complex< double > numeric::statistics::w	(	cmplx	z,
		double	relerr
	)

Definition at line 470 of file functions.cc.

References test.T850_SubClassing::a, test.Workshop3test::a2, C, cexp, cimag, utility::copysign(), creal, errfcx(), expa2n2, expa2n2_length, utility::is_inf(), utility::is_nan(), numeric::log(), NaN, pi, sinc(), sinh_taylor(), sqr(), w_im(), x(), and y().

Referenced by basic::sampling::orientations::QuatSet::Add(), ObjexxFCL::format::bite(), Dawson(), errf(), errfc(), errfcx(), basic::sampling::orientations::Quaternion::euler(), ObjexxFCL::fixed_Fstring_of(), ObjexxFCL::fixed_string_of(), ObjexxFCL::general_Fstring_of(), ObjexxFCL::general_string_of(), numeric::deriv::helper(), basic::sampling::orientations::Quaternion::Normalize(), ObjexxFCL::operator<<(), numeric::operator<<(), utility::io::mpi_stream::basic_mpi_streambuf< Elem, Tr, ElemA, ByteT, ByteAT >::overflow(), zlib_stream::basic_zip_streambuf< Elem, Tr, ElemA, ByteT, ByteAT >::overflow(), basic::sampling::orientations::Quaternion::Print(), basic::sampling::orientations::QuaternionGrid::QuaternionGrid(), numeric::linear_algebra::qzvec(), basic::sampling::orientations::Quaternion::rotation_matrix(), ObjexxFCL::scientific_Fstring_of(), ObjexxFCL::scientific_string_of(), numeric::HomogeneousTransform< double >::show_stream(), ObjexxFCL::format::skip(), numeric::UniformRotationSampler::UniformRotationSampler(), numeric::geometry::vector_normal_to_ring_plane_of_best_fit(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::visit(), numeric::geometry::hashing::xyzStripeHashWithMeta< float >::visit_lax(), and utility::options::OptionCollection::wrapped().

double numeric::statistics::w_im

(

double

x

)

Definition at line 1596 of file functions.cc.

References w_im_y100(), and x().

Referenced by Dawson(), errf(), errfc(), errfi(), and w().

static double numeric::statistics::w_im_y100 ( double  y100, double  x  )

static

Definition at line 1190 of file functions.cc.

References NaN, and x().

Referenced by w_im().

Variable Documentation

const double numeric::statistics::expa2n2[]

static

Initial value:

= {
7.64405281671221563e-01, 3.41424527166548425e-01, 8.91072646929412548e-02, 1.35887299055460086e-02,
1.21085455253437481e-03, 6.30452613933449404e-05, 1.91805156577114683e-06, 3.40969447714832381e-08,
3.54175089099469393e-10, 2.14965079583260682e-12, 7.62368911833724354e-15, 1.57982797110681093e-17,
1.91294189103582677e-20, 1.35344656764205340e-23, 5.59535712428588720e-27, 1.35164257972401769e-30,
1.90784582843501167e-34, 1.57351920291442930e-38, 7.58312432328032845e-43, 2.13536275438697082e-47,
3.51352063787195769e-52, 3.37800830266396920e-57, 1.89769439468301000e-62, 6.22929926072668851e-68,
1.19481172006938722e-73, 1.33908181133005953e-79, 8.76924303483223939e-86, 3.35555576166254986e-92,
7.50264110688173024e-99, 9.80192200745410268e-106, 7.48265412822268959e-113, 3.33770122566809425e-120,
8.69934598159861140e-128, 1.32486951484088852e-135, 1.17898144201315253e-143, 6.13039120236180012e-152,
1.86258785950822098e-160, 3.30668408201432783e-169, 3.43017280887946235e-178, 2.07915397775808219e-187,
7.36384545323984966e-197, 1.52394760394085741e-206, 1.84281935046532100e-216, 1.30209553802992923e-226,
5.37588903521080531e-237, 1.29689584599763145e-247, 1.82813078022866562e-258, 1.50576355348684241e-269,
7.24692320799294194e-281, 2.03797051314726829e-292, 3.34880215927873807e-304,
0.0 
}

Definition at line 449 of file functions.cc.

Referenced by w().

const unsigned int numeric::statistics::expa2n2_length = 52

static

Definition at line 466 of file functions.cc.

Referenced by w().