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

corrcoef()

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

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

Referenced by spearman_r().

corrcoef_with_provided_mean_and_std_dev()

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
	)

References cov(), kmeans_adaptive_kernel_density_bb_dependent_rotlib::n, oop_scan::v1, and oop_scan::v2.

Referenced by corrcoef().

cov()

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

References cov_with_provided_mean(), and mean().

Referenced by calculate_helical_parameters(), corrcoef_with_provided_mean_and_std_dev(), cov_with_provided_mean(), and pca_align_BROKEN().

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
	)

References cov(), kmeans_adaptive_kernel_density_bb_dependent_rotlib::n, oop_scan::v1, and oop_scan::v2.

Referenced by cov().

Dawson() [1/2]

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

References C, cexp, cimag, creal, spectral_cluster_kmeans_adaptive_kernel_density_bb_dependent_rotlib::D, debug_assert, test.T009_Exceptions::e, errfcx(), utility::isnan(), NaN, res, utility_exit_with_message, w(), w_im(), x, predPRE::y, y2, and predPRE::z.

Dawson() [2/2]

double numeric::statistics::Dawson

(

double

x

)

References w_im(), and x.

erfcx_y100()

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

static

References predPRE::t.

Referenced by errfcx().

errf() [1/2]

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

References C, cimag, creal, debug_assert, test.T009_Exceptions::e, errf(), Inf, utility::isnan(), NaN, utility_exit_with_message, w(), w_im(), x, predPRE::y, y2, and predPRE::z.

errf() [2/2]

double numeric::statistics::errf

(

double

x

)

References test.T009_Exceptions::e, errfcx(), and x.

Referenced by errf(), and errfi().

errfc() [1/2]

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

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

errfc() [2/2]

double numeric::statistics::errfc

(

double

x

)

References errfcx(), and x.

errfcx() [1/2]

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

References C, cimag, creal, w(), and predPRE::z.

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

errfcx() [2/2]

double numeric::statistics::errfcx

(

double

x

)

References erfcx_y100(), and x.

errfi() [1/2]

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

References C, cimag, creal, test.T009_Exceptions::e, errf(), and predPRE::z.

errfi() [2/2]

double numeric::statistics::errfi

(

double

x

)

References Inf, w_im(), and x.

kl_divergence()

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.

References numeric::log(), kmeans_adaptive_kernel_density_bb_dependent_rotlib::p, p_end, and enumerate_junctions::q.

mean()

template<class Iterator , typename T >

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

inline

mean value of an input vector

References create_a3b_hbs::first, subloop_histogram::size, and pyrosetta.distributed.cluster.exceptions::T.

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

sinc()

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

inlinestatic

References test.T009_Exceptions::e, and x.

Referenced by w().

sinh_taylor()

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

inlinestatic

References x.

Referenced by w().

spearman_r()

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

References corrcoef(), and utility::fractional_rank().

sqr()

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

inlinestatic

References x.

Referenced by w().

std_dev()

template<class Iterator , typename T >

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

inline

References create_a3b_hbs::first, mean(), and std_dev_with_provided_mean().

Referenced by calculate_percent_hydrophobic_stats().

std_dev_with_provided_mean()

template<class Iterator , typename T >

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

inline

References create_a3b_hbs::first, mean(), subloop_histogram::size, and pyrosetta.distributed.cluster.exceptions::T.

Referenced by corrcoef(), and std_dev().

w()

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

References a, docking::a2, kmeans_adaptive_kernel_density_bb_dependent_rotlib::c, C, cexp, cimag, utility::copysign(), creal, denom(), 3d_histogram::dx, test.T009_Exceptions::e, errfcx(), expa2n2, expa2n2_length, enumerate_junctions::int, utility::isinf(), utility::isnan(), numeric::log(), kmeans_adaptive_kernel_density_bb_dependent_rotlib::n, NaN, pi, sinc(), sinh_taylor(), sqr(), w_im(), wr, x, kmeans_adaptive_kernel_density_bb_dependent_rotlib::xs, predPRE::y, and predPRE::z.

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

w_im()

double numeric::statistics::w_im

(

double

x

)

References w_im_y100(), and x.

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

w_im_y100()

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

static

References NaN, predPRE::t, and x.

Referenced by w_im().

Variable Documentation

expa2n2

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 
}

Referenced by w().

expa2n2_length

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

static

Referenced by w().