functions.cc File Reference

#include <numeric/statistics/functions.hh>
#include <numeric/types.hh>
#include <utility/vector1.hh>
#include <utility/numbers.hh>
#include <cmath>
#include <cfloat>
#include <limits>

Namespaces
	numeric
	Unit headers.
	numeric::statistics

Macros
#define	C(a, b)   cmplx(a,b)
#define	cexp(z)   std::exp(z)
#define	creal(z)   std::real(z)
#define	cimag(z)   std::imag(z)
#define	cpolar(r, t)   std::polar(r,t)
#define	Inf   std::numeric_limits<double>::infinity()
#define	NaN   std::numeric_limits<double>::quiet_NaN()

Typedefs
typedef std::complex< double >	cmplx

Functions
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. More...
numeric::Real	numeric::statistics::corrcoef (utility::vector1< numeric::Real > const &vec1, utility::vector1< numeric::Real > const &vec2)
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)
numeric::Real	numeric::statistics::cov (utility::vector1< numeric::Real > const &vec1, utility::vector1< numeric::Real > const &vec2)
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)
cmplx	numeric::statistics::errfcx (cmplx z, double relerr)
double	numeric::statistics::errf (double x)
cmplx	numeric::statistics::errf (cmplx z, double relerr)
cmplx	numeric::statistics::errfi (cmplx z, double relerr)
double	numeric::statistics::errfi (double x)
double	numeric::statistics::errfc (double x)
cmplx	numeric::statistics::errfc (cmplx z, double relerr)
double	numeric::statistics::Dawson (double x)
cmplx	numeric::statistics::Dawson (cmplx z, double relerr)
static double	numeric::statistics::sinc (double x, double sinx)
static double	numeric::statistics::sinh_taylor (double x)
static double	numeric::statistics::sqr (double x)
cmplx	numeric::statistics::w (cmplx z, double relerr)
static double	numeric::statistics::erfcx_y100 (double y100)
double	numeric::statistics::errfcx (double x)
static double	numeric::statistics::w_im_y100 (double y100, double x)
double	numeric::statistics::w_im (double x)

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

Macro Definition Documentation

#define C	(		a,
			b
	)		cmplx(a,b)

Referenced by binder::ClassBinder::add_relevant_includes(), binder::ClassBinder::bind(), binder::ClassBinder::bind_repr(), binder::ClassBinder::bind_with(), binder::ClassBinder::bindable(), numeric::kinematic_closure::radians::bridge_objects(), numeric::kinematic_closure::bridgeObjects(), numeric::alignment::QCP_Kernel< double >::calc_rmsd_Theobald_method(), numeric::model_quality::COMAS(), numeric::statistics::Dawson(), numeric::kinematic_closure::dixon_sturm(), numeric::kinematic_closure::dixonResultant(), numeric::statistics::errf(), numeric::statistics::errfc(), numeric::statistics::errfcx(), numeric::statistics::errfi(), numeric::xyzTransform< numeric::Real >::from_euler_angles_deg(), binder::ClassBinder::generate_prefix_code(), binder::ClassBinder::id(), binder::is_const_overload(), binder::is_field_assignable(), binder::is_skipping_requested(), binder::ClassBinder::maybe_base_classes(), numeric::kinematic_closure::multMatrix(), numeric::kinematic_closure::multTransMatrix(), numeric::geometry::hashing::xyzStripeHashWithMeta< T >::iter_base< xyz_iterator >::operator++(), numeric::geometry::hashing::xyzStripeHash::iter_base< const_iterator >::operator++(), binder::ClassBinder::request_bindings_and_skipping(), numeric::fourier::SHT::setup_Pmls(), setup_segment_insert(), solve_nu_svr(), binder::Context::sort_binders(), numeric::kinematic_closure::test_dixon(), numeric::kinematic_closure::test_point_value2(), numeric::kinematic_closure::test_polyProduct2x2(), numeric::kinematic_closure::test_polyProduct4sq(), numeric::kinematic_closure::test_polyProduct4x2(), numeric::kinematic_closure::test_polyProduct4x4(), numeric::kinematic_closure::test_polyProduct6x6(), numeric::kinematic_closure::test_triaxialCoefficients(), numeric::kinematic_closure::triaxialCoefficients(), numeric::kinematic_closure::radians::triaxialCoefficients(), BinderVisitor::VisitCXXRecordDecl(), and numeric::statistics::w().

#define cexp

(

z

)

std::exp(z)

Referenced by numeric::statistics::Dawson(), numeric::statistics::errfc(), and numeric::statistics::w().

#define cimag

(

z

)

std::imag(z)

Referenced by numeric::statistics::Dawson(), numeric::statistics::errf(), numeric::statistics::errfc(), numeric::statistics::errfcx(), numeric::statistics::errfi(), and numeric::statistics::w().

#define cpolar	(		r,
			t
	)		std::polar(r,t)

#define creal

(

z

)

std::real(z)

Referenced by numeric::statistics::Dawson(), numeric::statistics::errf(), numeric::statistics::errfc(), numeric::statistics::errfcx(), numeric::statistics::errfi(), and numeric::statistics::w().

#define Inf   std::numeric_limits<double>::infinity()

Referenced by numeric::statistics::errf(), numeric::statistics::errfc(), and numeric::statistics::errfi().

#define NaN   std::numeric_limits<double>::quiet_NaN()

Referenced by numeric::statistics::Dawson(), numeric::statistics::errf(), numeric::statistics::w(), and numeric::statistics::w_im_y100().

Typedef Documentation

typedef std::complex<double> cmplx