Struct MixedVolume 

pub struct MixedVolume {
    pub dim: usize,
}

Mixed volume computations for convex bodies.

Fields

dim: usize

Dimension n.

Implementations

impl MixedVolume

pub fn new(dim: usize) -> Self

Construct a mixed volume calculator.

pub fn estimate_volume_monte_carlo( &self, vertices: &[Vec<f64>], n_samples: usize, seed: u64, ) -> f64

Estimate the volume of a polytope (given by vertices) via Monte Carlo sampling.

pub fn check_brunn_minkowski( &self, vol_a: f64, vol_b: f64, vol_apb: f64, ) -> bool

Brunn-Minkowski inequality check (numeric): verify V(A+B)^{1/n} >= V(A)^{1/n} + V(B)^{1/n}.

pub fn check_isoperimetric_2d(area: f64, perimeter: f64) -> bool

Check the isoperimetric inequality V^{n-1} <= c_n * S^n numerically (simplified 2D: 4πA ≤ P²).

Trait Implementations

impl Clone for MixedVolume

fn clone(&self) -> MixedVolume

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for MixedVolume

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.