renyi_entropy_uniform.h

// Description: Renyi entropy of a uniform distribution
// Documentation: renyi_entropy_analytic.txt

#ifndef TIM_RENYI_ENTROPY_UNIFORM_H
#define TIM_RENYI_ENTROPY_UNIFORM_H

#include "tim/core/mytypes.h"

#include <pastel/sys/real/real_concept.h>

namespace Tim
{

    //! Renyi entropy of a uniform distribution.
    /*!
   Preconditions:
   supportVolume > 0

   supportVolume:
   The measure m of the support of the probability density
   function p: m({x in R^n: p(x) != 0})

   Note:
   The Renyi entropy of a uniform distribution
   is independent of q.
   */
    template <typename Real>
    Real uniformRenyiEntropy(
        const NoDeduction<Real>& supportVolume)
    {
        PENSURE_OP(supportVolume, >, 0);

        return std::log(supportVolume);
    }

}

#endif