KrisLibrary
1.0.0
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Miscellaneous math functions. More...
#include "math.h"
Go to the source code of this file.
Namespaces | |
Math | |
Contains all definitions in the Math package. | |
Functions | |
int | Math::quadratic (double a, double b, double c, double &x1, double &x2) |
int | Math::cubic (double a, double b, double c, double d, double x[3]) |
double | Math::pythag (double a, double b) |
Returns c where a^2+b^2=c^2. | |
double | Math::pythag_leg (double a, double c) |
Returns b where a^2+b^2=c^2. | |
double | Math::Sinc (double x) |
Computes the sinc function sin(x)/x (stable for small x) | |
double | Math::Sinc_Dx (double x) |
Computes the derivative of the sinc function. | |
double | Math::dFactorial (unsigned int n) |
Computes the factorial of n, with double precision. | |
double | Math::dLogFactorial (unsigned int n) |
Computes the log of the factorial of n. | |
double | Math::dChoose (unsigned int n, unsigned int k) |
Computes n choose k in double precision. | |
double | Math::dLogChoose (unsigned int n, unsigned int k) |
Computes the log of n choose k. | |
double | Math::TaylorCoeff (double x, unsigned int n) |
Computes the taylor series coefficient x^n/n! | |
double | Math::Gamma (double x) |
Computes the gamma function. | |
double | Math::LogGamma (double x) |
Computes log gamma(x) | |
double | Math::GammaInv (double x) |
Computes 1 / gamma(x) | |
double | Math::Beta (double a, double b) |
Computes the beta function B(a,b) | |
double | Math::LogBeta (double a, double b) |
Computes log B(a,b) | |
double | Math::NormalizedIncompleteBeta (double a, double b, double x) |
Computes the normalized incomplete beta function B(a,b,x) | |
double | Math::Erf (double x) |
Computes the error function. | |
double | Math::ErfComplimentary (double x) |
Computes the complimentary error function? | |
int | Math::FuzzySign (double x, double eps=dEpsilon) |
Returns -1 if x<eps, 0 if |x|<=eps, 1 if x>eps. | |
bool | Math::OpposingSigns_pos (double a, double b) |
bool | Math::OpposingSigns_neg (double a, double b) |
Same as above, but treats 0 as a negative number. | |
int | Math::quadratic (float a, float b, float c, float &x1, float &x2) |
int | Math::cubic (float a, float b, float c, float d, float x[3]) |
float | Math::pythag (float a, float b) |
float | Math::pythag_leg (float a, float c) |
float | Math::Sinc (float x) |
float | Math::Sinc_Dx (float x) |
float | Math::fFactorial (unsigned int n) |
float | Math::fLogFactorial (unsigned int n) |
float | Math::fChoose (unsigned int n, unsigned int k) |
float | Math::fLogChoose (unsigned int n, unsigned int k) |
float | Math::TaylorCoeff (float x, unsigned int n) |
float | Math::Gamma (float x) |
float | Math::LogGamma (float x) |
float | Math::GammaInv (float x) |
float | Math::Beta (float a, float b) |
float | Math::LogBeta (float a, float b) |
float | Math::NormalizedIncompleteBeta (float a, float b, float x) |
float | Math::Erf (float x) |
float | Math::ErfComplimentary (float x) |
int | Math::FuzzySign (float x, float eps=fEpsilon) |
bool | Math::OpposingSigns_pos (float a, float b) |
bool | Math::OpposingSigns_neg (float a, float b) |
template<class T > | |
T | Math::IntegerPower (const T x, int i) |
Calculates x^i where i is an integer (in O(log i) time) | |
unsigned int | Math::Factorial (unsigned int n) |
Returns n! in O(n) time. | |
unsigned int | Math::FactorialTruncated (unsigned int n, unsigned int k) |
Returns n!/(n-k)! in O(k) time. | |
unsigned int | Math::Choose (unsigned int n, unsigned int k) |
Returns `n choose k' = n!/k!(n-k)! in O(k) time. | |
Real | Math::rFactorial (unsigned int n) |
Real | Math::LogFactorial (unsigned int n) |
Real | Math::rChoose (unsigned int n, unsigned int k) |
Real | Math::LogChoose (unsigned int n, unsigned int k) |
Miscellaneous math functions.