ExtendedMath.h File Reference

#include <iostream>
#include <fstream>
#include <cmath>
#include <limits>
#include "Vector.h"

Go to the source code of this file.

Namespaces
	constants
	mathsFunc
	Namespace for some extra maths function that are often needed.

Functions
Mdouble	mathsFunc::gamma (Mdouble gamma_in)
	This is the gamma function returns the true value for the half integer value. More...
Mdouble	mathsFunc::chi_squared (const Mdouble x, const unsigned int k)
	This is a chi_squared function return the value x and degrees of freedom k. More...
Mdouble	mathsFunc::chi_squared_prob (const Mdouble x, const unsigned int k)
	This is the function which actually gives the probability back using a chi squared test. More...
Mdouble	mathsFunc::goldenSectionSearch (Mdouble(*function)(const Mdouble), Mdouble min, Mdouble cur, Mdouble max, Mdouble endCondition, Mdouble curVal=std::numeric_limits< Mdouble >::quiet_NaN())
	This function performs a golden section search to find the location of the minimum of a function. More...
template<typename T >
int	mathsFunc::sign (T val)
	This is a sign function, it returns -1 for negative numbers, 1 for positive numbers and 0 for 0. More...
template<typename T >
T	mathsFunc::square (T val)
	squares a number More...
template<typename T >
T	mathsFunc::cubic (T val)
	calculates the cube of a number More...
bool	mathsFunc::isEqual (Mdouble v1, Mdouble v2, Mdouble absError)
	Compares the difference of two Mdouble with an absolute error, useful in UnitTests. More...
bool	mathsFunc::isEqual (Vec3D v1, Vec3D v2, Mdouble absError)
	Compares the difference of two Vec3D with an absolute error, useful in UnitTests. More...
template<typename T >
constexpr T	mathsFunc::factorial (const T t)
	factorial function More...
Mdouble	mathsFunc::sin (Mdouble x)
Mdouble	mathsFunc::cos (Mdouble x)
Mdouble	mathsFunc::exp (Mdouble Exponent)
Mdouble	mathsFunc::log (Mdouble Power)
template<typename T >
T	mathsFunc::tan (T x)
Mdouble	mathsFunc::chebyshev (Mdouble x, const Mdouble coef[], int N)
	Namespace for evaluating the zeroth modified Bessel function of the first kind, I0(x), required in StatisticsPoint.hcc. More...
Mdouble	mathsFunc::I0_exp (Mdouble x)
Mdouble	mathsFunc::I0 (Mdouble x)

Variables
const Mdouble	constants::pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068
const Mdouble	constants::sqrt_pi = 1.772453850905516027298167483341145182797549456122387128213807789852911284591032181374950656738544665
const Mdouble	constants::sqr_pi = 9.869604401089358618834490999876151135313699407240790626413349376220044822419205243001773403718552232
const Mdouble	constants::sqrt_2 = 1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641573
const Mdouble	constants::sqrt_3 = 1.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248576