1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110

//! The diagonal format.
//!
//! The format is suitable for diagonal matrices.

use std::ops::{Deref, DerefMut};

use {Element, Matrix, Size};

/// A diagonal matrix.
#[derive(Clone, Debug, PartialEq)]
pub struct Diagonal<T: Element> {
    /// The number of rows.
    pub rows: usize,
    /// The number of columns.
    pub columns: usize,
    /// The values of the diagonal elements.
    pub values: Vec<T>,
}

macro_rules! new(
    ($rows:expr, $columns:expr, $values:expr) => (
        Diagonal {
            rows: $rows,
            columns: $columns,
            values: $values
        }
    );
);

mod convert;
mod operation;

#[cfg(debug_assertions)]
impl<T: Element> ::format::Validate for Diagonal<T> {
    fn validate(&self) {
        assert_eq!(self.values.len(), min!(self.rows, self.columns))
    }
}

size!(Diagonal);

impl<T: Element> Diagonal<T> {
    /// Create a zero matrix.
    pub fn new<S: Size>(size: S) -> Self {
        let (rows, columns) = size.dimensions();
        new!(rows, columns, vec![T::zero(); min!(rows, columns)])
    }

    /// Create a matrix from a slice.
    pub fn from_slice<S: Size>(size: S, values: &[T]) -> Self {
        let (rows, columns) = size.dimensions();
        debug_assert_eq!(values.len(), min!(rows, columns));
        new!(rows, columns, values.to_vec())
    }

    /// Create a matrix from a vector.
    pub fn from_vec<S: Size>(size: S, values: Vec<T>) -> Self {
        let (rows, columns) = size.dimensions();
        debug_assert_eq!(values.len(), min!(rows, columns));
        new!(rows, columns, values)
    }

    /// Create a matrix with uninitialized elements.
    pub unsafe fn with_uninitialized<S: Size>(size: S) -> Self {
        let (rows, columns) = size.dimensions();
        new!(rows, columns, buffer!(min!(rows, columns)))
    }
}

impl<T: Element> Matrix for Diagonal<T> {
    type Element = T;

    fn nonzeros(&self) -> usize {
        self.values
            .iter()
            .fold(0, |sum, &value| if value.is_zero() { sum } else { sum + 1 })
    }

    #[inline]
    fn zero<S: Size>(size: S) -> Self {
        Diagonal::new(size)
    }
}

impl<T: Element> Deref for Diagonal<T> {
    type Target = [T];

    #[inline]
    fn deref(&self) -> &Self::Target {
        self.values.deref()
    }
}

impl<T: Element> DerefMut for Diagonal<T> {
    #[inline]
    fn deref_mut(&mut self) -> &mut Self::Target {
        self.values.deref_mut()
    }
}

#[cfg(test)]
mod tests {
    use prelude::*;

    #[test]
    fn nonzeros() {
        let matrix = Diagonal::from_vec(4, vec![1.0, 2.0, 0.0, 3.0]);
        assert_eq!(matrix.nonzeros(), 3);
    }
}