use rug::ops::Pow;
use std::ops::{Index, IndexMut};

type Element = rug::Integer;

macro_rules! int {
    ($x:expr) => {
        rug::Integer::from($x)
    };
}

#[derive(Debug, PartialEq)]
pub struct Matrix {
    pub n: usize, //rows
    pub m: usize, // columns
    values: Vec<Element>,
}

impl Matrix {
    pub fn new(n: usize, m: usize, values: Vec<Element>) -> Option<Self> {
        if n*m == values.len() {
            Some(Matrix { n, m, values })
        } else {
            None
        }
    }

    pub fn new_lattice(noise_bits: usize, ciphertexts: Vec<Element>) -> Option<Self> {
        let n = ciphertexts.len();
        let mut values = Vec::with_capacity(n * n);

        // First row: [2^noise_bits, ciphertexts[1], ..., ciphertexts[t]]
        values.push(int!(2u64).pow(noise_bits as u32));
        values.extend_from_slice(&ciphertexts[1..]);

        // -x0 on diagonal, 0 everywhere else
        let x0 = &ciphertexts[0];
        for i in 1..n {
            let mut row = vec![int!(0); n];
            row[i] = -x0.clone();
            values.extend(row);
        }

        Matrix::new(n, n, values)
    }
}

impl Index<(usize, usize)> for Matrix {
    type Output = Element;
    fn index(&self, index: (usize, usize)) -> &Self::Output {
        if index.0>=self.m || index.1 >= self.n {
            panic!();
        }
        &self.values[(self.n * index.0) + index.1]
    }
}

impl IndexMut<(usize, usize)> for Matrix {
    fn index_mut(&mut self, index: (usize, usize)) -> &mut Self::Output {
        if index.0>=self.m || index.1 >= self.n {
            panic!();
        }
        &mut self.values[(self.n * index.0) + index.1]
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    #[test]
    fn simple_matrix() {
        assert_eq!(
            Matrix {
                n: 2,
                m: 2,
                values: vec![int!(1), int!(2), int!(3), int!(4)],
            },
            Matrix::new(2, 2, vec![int!(1), int!(2), int!(3), int!(4)]).unwrap()
        );
        assert!(Matrix::new(2, 2, vec![int!(1), int!(2)]).is_none());
    }

    #[test]
    fn indexes() {
        let mut m = Matrix::new(2, 2, vec![int!(1), int!(2), int!(3), int!(4)]).unwrap();

        assert_eq!(m[(0, 0)], int!(1));
        assert_eq!(m[(1, 0)], int!(3));

        m[(1, 0)] = int!(5);
        assert_eq!(m[(1, 0)], int!(5));

        let m2 = Matrix::new(3, 2, vec![int!(1), int!(2), int!(3), int!(4), int!(5), int!(6)]).unwrap();
        assert_eq!(m2[(0, 2)], int!(3));
        assert_eq!(m2[(1, 0)], int!(4));
    }

    #[test]
    fn test_new_lattice() {
        let ciphertexts = vec![int!(5), int!(8), int!(12)];
        let noise_bits = 2;

        let expected_values = vec![
            int!(4),
            int!(8),
            int!(12),
            int!(0),
            int!(-5),
            int!(0),
            int!(0),
            int!(0),
            int!(-5),
        ];

        let lattice = Matrix::new_lattice(noise_bits, ciphertexts).unwrap();
        assert_eq!(lattice.n, 3);
        assert_eq!(lattice.values, expected_values);
    }
}