ROOT   Reference Guide
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QuantFuncMathCore.cxx File Reference
#include "Math/Math.h"
#include "Math/QuantFuncMathCore.h"
#include "SpecFuncCephes.h"
#include <limits>
Include dependency graph for QuantFuncMathCore.cxx:

## Namespaces

namespace  ROOT
tbb::task_arena is an alias of tbb::interface7::task_arena, which doesn't allow to forward declare tbb::task_arena without forward declaring tbb::interface7

namespace  ROOT::Math

## Functions

Quantile Functions from MathCore

The implementation is provided in MathCore and for the majority of the function comes from Cephes.

double ROOT::Math::beta_quantile (double x, double a, double b)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the beta distribution (beta_cdf_c).

double ROOT::Math::beta_quantile_c (double x, double a, double b)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the beta distribution (beta_cdf).

double ROOT::Math::cauchy_quantile (double z, double b)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the Cauchy distribution (cauchy_cdf) which is also called Breit-Wigner or Lorentzian distribution.

double ROOT::Math::cauchy_quantile_c (double z, double b)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the Cauchy distribution (cauchy_cdf_c) which is also called Lorentzian distribution.

double ROOT::Math::chisquared_quantile (double z, double r)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the $$\chi^2$$ distribution with $$r$$ degrees of freedom (chisquared_cdf).

double ROOT::Math::chisquared_quantile_c (double z, double r)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the $$\chi^2$$ distribution with $$r$$ degrees of freedom (chisquared_cdf_c).

double ROOT::Math::exponential_quantile (double z, double lambda)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the exponential distribution (exponential_cdf).

double ROOT::Math::exponential_quantile_c (double z, double lambda)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the exponential distribution (exponential_cdf_c).

double ROOT::Math::fdistribution_quantile (double z, double n, double m)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the f distribution (fdistribution_cdf).

double ROOT::Math::fdistribution_quantile_c (double z, double n, double m)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the f distribution (fdistribution_cdf_c).

double ROOT::Math::gamma_quantile (double z, double alpha, double theta)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the gamma distribution (gamma_cdf).

double ROOT::Math::gamma_quantile_c (double z, double alpha, double theta)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the gamma distribution (gamma_cdf_c).

double ROOT::Math::landau_quantile (double z, double xi=1)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the Landau distribution (landau_cdf).

double ROOT::Math::landau_quantile_c (double z, double xi=1)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the landau distribution (landau_cdf_c).

double ROOT::Math::lognormal_quantile (double x, double m, double s)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the lognormal distribution (lognormal_cdf).

double ROOT::Math::lognormal_quantile_c (double x, double m, double s)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the lognormal distribution (lognormal_cdf_c).

double ROOT::Math::normal_quantile (double z, double sigma)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the normal (Gaussian) distribution (normal_cdf).

double ROOT::Math::normal_quantile_c (double z, double sigma)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the normal (Gaussian) distribution (normal_cdf_c).

double ROOT::Math::uniform_quantile (double z, double a, double b)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the lower tail of the uniform (flat) distribution (uniform_cdf).

double ROOT::Math::uniform_quantile_c (double z, double a, double b)
Inverse ( $$D^{-1}(z)$$) of the cumulative distribution function of the upper tail of the uniform (flat) distribution (uniform_cdf_c).