mitsuba::TwoTailedGeoDistr Struct Reference

Clamped two-tailed geometric distribution. More...

#include <mitsuba/bidir/geodist2.h>

Public Member Functions
	TwoTailedGeoDistr (Float base)
	Create a new two-tailed distribution for the given base constant. More...
void	configure (int center, int start, int end)
	Configure the domain and center of the distribution. More...
Float	pmf (int i) const
	Evaluate the probability mass function at position i. More...
Float	cdf (int i) const
	Evaluate the cumulative distribution function at position i. More...
int	sample (Float xi) const
	Draw a position according to the probability mass function. More...

Protected Member Functions
Float	r (int i) const
Float	R (int i) const
int	Rinv (Float x) const

Detailed Description

Clamped two-tailed geometric distribution.

This class implements a specialized clamped two-tailed geometric distribution with support for sample generation and evaluation of the probability mass and cumulative distribution functions.

The precise form of the distribution is

\[ P(i) = \begin{cases} c b^{-|i-o|},&\text{if } i\ge l\text{ and }i\le r\\ 0,&\mathrm{otherwise} \end{cases} \]

where \(b\in\mathbb{R}\) is the base parameter of the distribution, \([l,r]\subseteq\mathbb{Z}\) denotes the domain of the probability mass function, \(o\in\mathbb{Z}\) is offset, and \(c\) is a suitably chosen normalization constant.

This function is used to propose bidirectional mutations; see the MLT writeup for details.

Author

Wenzel Jakob

Constructor & Destructor Documentation

mitsuba::TwoTailedGeoDistr::TwoTailedGeoDistr ( Float  base )

inline

Create a new two-tailed distribution for the given base constant.

Member Function Documentation

Float mitsuba::TwoTailedGeoDistr::cdf ( int  i ) const

inline

Evaluate the cumulative distribution function at position i.

void mitsuba::TwoTailedGeoDistr::configure ( int  center, int  start, int  end  )

inline

Configure the domain and center of the distribution.

Float mitsuba::TwoTailedGeoDistr::pmf ( int  i ) const

inline

Evaluate the probability mass function at position i.

Float mitsuba::TwoTailedGeoDistr::r ( int  i ) const

inlineprotected

Float mitsuba::TwoTailedGeoDistr::R ( int  i ) const

inlineprotected

int mitsuba::TwoTailedGeoDistr::Rinv ( Float  x ) const

inlineprotected

int mitsuba::TwoTailedGeoDistr::sample ( Float  xi ) const

inline

Draw a position according to the probability mass function.

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The documentation for this struct was generated from the following file:

• include/mitsuba/bidir/geodist2.h