lll-rs 0.2.0

Implementation of the LLL algorithm for lattice reduction and it's improved version L²
Documentation 
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use crate::vector::{Dot, Vector};

use std::{
    fmt,
    ops::{Index, IndexMut},
};

/// Implementation of vectors with floating-point (IEEE 754) coefficients
#[derive(Clone)]
pub struct VectorF {
    /// Underlying representation of the vector as a list of coefficients
    coefficients: Vec<f64>,

    /// Dimension of the vector
    dimension: usize,
}

impl Vector for VectorF {
    fn basis_vector(&self, position: usize) -> Self {
        assert!(position < self.dimension());

        let mut coefficients = vec![0.0; self.dimension()];
        coefficients[position] = 1.0;

        Self {
            coefficients,
            dimension: self.dimension(),
        }
    }

    fn init(dimension: usize) -> Self {
        Self {
            coefficients: vec![Default::default(); dimension],
            dimension,
        }
    }

    fn dimension(&self) -> usize {
        self.dimension
    }

    fn add(&self, other: &Self) -> Self {
        let n = self.dimension();

        assert_eq!(n, other.dimension());

        Self::from_vector(
            (0..n)
                .map(|i| self.coefficients[i] + other.coefficients[i])
                .collect(),
        )
    }

    fn sub(&self, other: &Self) -> Self {
        let n = self.dimension();

        assert_eq!(n, other.dimension());

        Self::from_vector(
            (0..n)
                .map(|i| self.coefficients[i] - other.coefficients[i])
                .collect(),
        )
    }
}

impl Dot<f64> for VectorF {
    fn dot(&self, other: &Self) -> f64 {
        let n = self.dimension();
        assert_eq!(n, other.dimension());

        (0..n)
            .map(|i| self.coefficients[i] * other.coefficients[i])
            .sum()
    }
}

impl VectorF {
    /// Create an instance from a `Vec` of floating-point coordinates
    pub fn from_vector(coefficients: Vec<f64>) -> Self {
        Self {
            dimension: coefficients.len(),
            coefficients,
        }
    }

    /// Multiplication by a scalar
    pub fn mulf(&self, other: f64) -> Self {
        let n = self.dimension();

        Self::from_vector((0..n).map(|i| self.coefficients[i] * other).collect())
    }
}

impl Index<usize> for VectorF {
    type Output = f64;

    fn index(&self, index: usize) -> &f64 {
        &self.coefficients[index]
    }
}

impl IndexMut<usize> for VectorF {
    fn index_mut(&mut self, index: usize) -> &mut f64 {
        &mut self.coefficients[index]
    }
}

impl fmt::Debug for VectorF {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        write!(f, "{:?}", self.coefficients)
    }
}