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new: Added diagonal_matrix method

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This commit is contained in:
Sayantan Santra 2023-05-27 01:28:01 -05:00
parent 4a26f0cf71
commit 56222e04f1
Signed by: SinTan1729
GPG key ID: EB3E68BFBA25C85F
2 changed files with 31 additions and 20 deletions
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48
src/lib.rs
View file

@ -97,7 +97,7 @@ impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matri
/// # Example
/// ```
/// use matrix_basic::Matrix;
/// let m = Matrix::from(vec![vec![1,2,3],vec![4,5,6]]).unwrap();
/// let m = Matrix::from(vec![vec![1,2,3], vec![4,5,6]]).unwrap();
/// let n = Matrix::from(vec![vec![5,6]]).unwrap();
/// assert_eq!(m.submatrix(0,0),n);
/// ```
@ -125,7 +125,7 @@ impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matri
/// # Example
/// ```
/// use matrix_basic::Matrix;
/// let m = Matrix::from(vec![vec![1,2],vec![3,4]]).unwrap();
/// let m = Matrix::from(vec![vec![1,2], vec![3,4]]).unwrap();
/// assert_eq!(m.det(),Ok(-2));
/// ```
pub fn det(&self) -> Result<T, &'static str> {
@ -160,7 +160,7 @@ impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matri
/// # Example
/// ```
/// use matrix_basic::Matrix;
/// let m = Matrix::from(vec![vec![1.0,2.0],vec![3.0,4.0]]).unwrap();
/// let m = Matrix::from(vec![vec![1.0,2.0], vec![3.0,4.0]]).unwrap();
/// assert_eq!(m.det(),Ok(-2.0));
/// ```
pub fn det_in_field(&self) -> Result<T, &'static str>
@ -211,7 +211,7 @@ impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matri
/// # Example
/// ```
/// use matrix_basic::Matrix;
/// let m = Matrix::from(vec![vec![1.0,2.0,3.0],vec![3.0,4.0,5.0]]).unwrap();
/// let m = Matrix::from(vec![vec![1.0,2.0,3.0], vec![3.0,4.0,5.0]]).unwrap();
/// let n = Matrix::from(vec![vec![1.0,2.0,3.0], vec![0.0,-2.0,-4.0]]).unwrap();
/// assert_eq!(m.row_echelon(),n);
/// ```
@ -269,7 +269,7 @@ impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matri
/// # Example
/// ```
/// use matrix_basic::Matrix;
/// let m = Matrix::from(vec![vec![1.0,2.0,3.0],vec![3.0,4.0,5.0]]).unwrap();
/// let m = Matrix::from(vec![vec![1.0,2.0,3.0], vec![3.0,4.0,5.0]]).unwrap();
/// let n = Matrix::from(vec![vec![1.0,2.0,3.0], vec![0.0,1.0,2.0]]).unwrap();
/// assert_eq!(m.reduced_row_echelon(),n);
/// ```
@ -312,19 +312,11 @@ impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matri
where
T: One,
{
let mut out = Vec::new();
for i in 0..size {
let mut new_row = Vec::new();
for j in 0..size {
if i == j {
new_row.push(T::one());
} else {
new_row.push(T::zero());
}
}
out.push(new_row);
let mut out = Matrix::zero(size, size);
for (i, row) in out.entries.iter_mut().enumerate() {
row[i] = T::one();
}
Matrix { entries: out }
out
}
/// Returns the trace of a square matrix.
@ -332,8 +324,8 @@ impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matri
/// # Example
/// ```
/// use matrix_basic::Matrix;
/// let m = Matrix::from(vec![vec![1,2],vec![3,4]]).unwrap();
/// assert_eq!(m.det(),Ok(-2));
/// let m = Matrix::from(vec![vec![1,2], vec![3,4]]).unwrap();
/// assert_eq!(m.trace(),Ok(5));
/// ```
pub fn trace(self) -> Result<T, &'static str> {
if self.is_square() {
@ -347,6 +339,24 @@ impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matri
}
}
/// Returns a diagonal matrix with a given diagonal.
/// # Example
/// ```
/// use matrix_basic::Matrix;
/// let m = Matrix::diagonal_matrix(vec![1,2,3]);
/// let n = Matrix::from(vec![vec![1,0,0], vec![0,2,0], vec![0,0,3]]).unwrap();
///
/// assert_eq!(m,n);
/// ```
pub fn diagonal_matrix(diag: Vec<T>) -> Self {
let size = diag.len();
let mut out = Matrix::zero(size, size);
for (i, row) in out.entries.iter_mut().enumerate() {
row[i] = diag[i];
}
out
}
// TODO: Canonical forms, eigenvalues, eigenvectors etc.
}

3
src/tests.rs
View file

@ -41,12 +41,13 @@ fn det_trace_test() {
}
#[test]
fn zero_one_test() {
fn zero_one_diag_test() {
let a = Matrix::from(vec![vec![0, 0, 0], vec![0, 0, 0]]).unwrap();
let b = Matrix::from(vec![vec![1, 0], vec![0, 1]]).unwrap();
assert_eq!(Matrix::<i32>::zero(2, 3), a);
assert_eq!(Matrix::<i32>::identity(2), b);
assert_eq!(Matrix::diagonal_matrix(vec![1, 1]), b);
}
#[test]