VolumeEstimatorMC.hpp File Reference

Hit-or-Miss Monte Carlo volume estimation. More...

#include <cstddef>
#include <cstdint>
#include <cmath>
#include <stdexcept>
#include "../domains/integration_domain.hpp"
#include "../geometry.hpp"
#include "VolumeEstimatorMC.tpp"

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Classes
struct	mc::estimators::VolumeEstimate< dim >
	Result of Monte Carlo volume estimation. More...
class	mc::estimators::VolumeEstimatorMC< dim >
	Hit-or-Miss Monte Carlo volume estimator. More...

Namespaces
namespace	mc
namespace	mc::estimators

Detailed Description

Hit-or-Miss Monte Carlo volume estimation.

Author

Giacomo Merlo

Date

12/01/26

Estimates the volume of complex N-dimensional domains using acceptance-rejection (hit-or-miss) sampling:

\[ V_{\text{est}} = V_{\text{box}} \cdot \frac{N_{\text{hits}}}{N_{\text{total}}} \]

The standard error is computed from the Bernoulli distribution variance:

\[ \sigma_V = V_{\text{box}} \cdot \sqrt{\frac{\hat{p}(1-\hat{p})}{N}} \]

Definition in file VolumeEstimatorMC.hpp.