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change: Need more traits by default

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Sayantan Santra 2023-05-27 01:02:06 -05:00
parent b469f7458b
commit 5b9aeb0c34
Signed by: SinTan1729
GPG key ID: EB3E68BFBA25C85F
1 changed files with 39 additions and 51 deletions
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90
src/lib.rs
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@ -1,6 +1,6 @@
//! This is a crate for very basic matrix operations
//! with any type that supports addition, substraction,
//! and multiplication. Additional properties might be
//! with any type that implement [`Add`], [`Sub`], [`Mul`],
//! [`Zero`] and [`Copy`]. Additional properties might be
//! needed for certain operations.
//! I created it mostly to learn using generic types
//! and traits.
@ -23,11 +23,11 @@ mod tests;
/// and multiplication defined on it).
/// Look at [`from`](Self::from()) to see examples.
#[derive(PartialEq, Debug, Clone)]
pub struct Matrix<T: Mul + Add + Sub> {
pub struct Matrix<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> {
entries: Vec<Vec<T>>,
}
impl<T: Mul + Add + Sub> Matrix<T> {
impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Matrix<T> {
/// Creates a matrix from given 2D "array" in a `Vec<Vec<T>>` form.
/// It'll throw an error if all the given rows aren't of the same size.
/// # Example
@ -65,10 +65,7 @@ impl<T: Mul + Add + Sub> Matrix<T> {
}
/// Returns the transpose of a matrix.
pub fn transpose(&self) -> Self
where
T: Copy,
{
pub fn transpose(&self) -> Self {
let mut out = Vec::new();
for i in 0..self.width() {
let mut column = Vec::new();
@ -86,10 +83,7 @@ impl<T: Mul + Add + Sub> Matrix<T> {
}
/// Return the columns of a matrix as `Vec<Vec<T>>`.
pub fn columns(&self) -> Vec<Vec<T>>
where
T: Copy,
{
pub fn columns(&self) -> Vec<Vec<T>> {
self.transpose().entries
}
@ -107,10 +101,7 @@ impl<T: Mul + Add + Sub> Matrix<T> {
/// let n = Matrix::from(vec![vec![5,6]]).unwrap();
/// assert_eq!(m.submatrix(0,0),n);
/// ```
pub fn submatrix(&self, row: usize, col: usize) -> Self
where
T: Copy,
{
pub fn submatrix(&self, row: usize, col: usize) -> Self {
let mut out = Vec::new();
for (m, row_iter) in self.entries.iter().enumerate() {
if m == row {
@ -138,13 +129,7 @@ impl<T: Mul + Add + Sub> Matrix<T> {
/// 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>
where
T: Copy,
T: Mul<Output = T>,
T: Sub<Output = T>,
T: Zero,
{
pub fn det(&self) -> Result<T, &'static str> {
if self.is_square() {
// It's a recursive algorithm using minors.
// TODO: Implement a faster algorithm.
@ -181,10 +166,6 @@ impl<T: Mul + Add + Sub> Matrix<T> {
/// ```
pub fn det_in_field(&self) -> Result<T, &'static str>
where
T: Copy,
T: Mul<Output = T>,
T: Sub<Output = T>,
T: Zero,
T: One,
T: PartialEq,
T: Div<Output = T>,
@ -237,10 +218,6 @@ impl<T: Mul + Add + Sub> Matrix<T> {
/// ```
pub fn row_echelon(&self) -> Self
where
T: Copy,
T: Mul<Output = T>,
T: Sub<Output = T>,
T: Zero,
T: One,
T: PartialEq,
T: Div<Output = T>,
@ -284,10 +261,6 @@ impl<T: Mul + Add + Sub> Matrix<T> {
/// See [`row_echelon`](Self::row_echelon()) and [`transpose`](Self::transpose()).
pub fn column_echelon(&self) -> Self
where
T: Copy,
T: Mul<Output = T>,
T: Sub<Output = T>,
T: Zero,
T: One,
T: PartialEq,
T: Div<Output = T>,
@ -305,10 +278,6 @@ impl<T: Mul + Add + Sub> Matrix<T> {
/// ```
pub fn reduced_row_echelon(&self) -> Self
where
T: Copy,
T: Mul<Output = T>,
T: Sub<Output = T>,
T: Zero,
T: One,
T: PartialEq,
T: Div<Output = T>,
@ -329,10 +298,7 @@ impl<T: Mul + Add + Sub> Matrix<T> {
}
/// Creates a zero matrix of a given size.
pub fn zero(height: usize, width: usize) -> Self
where
T: Zero,
{
pub fn zero(height: usize, width: usize) -> Self {
let mut out = Vec::new();
for _ in 0..height {
let mut new_row = Vec::new();
@ -347,7 +313,6 @@ impl<T: Mul + Add + Sub> Matrix<T> {
/// Creates an identity matrix of a given size.
pub fn identity(size: usize) -> Self
where
T: Zero,
T: One,
{
let mut out = Vec::new();
@ -368,13 +333,17 @@ impl<T: Mul + Add + Sub> Matrix<T> {
// TODO: Canonical forms, eigenvalues, eigenvectors etc.
}
impl<T: Debug + Mul + Add + Sub> Display for Matrix<T> {
impl<T: Debug + Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> Display
for Matrix<T>
{
fn fmt(&self, f: &mut Formatter) -> fmt::Result {
write!(f, "{:?}", self.entries)
}
}
impl<T: Mul<Output = T> + Add + Sub + Copy + Zero> Mul for Matrix<T> {
impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy + Copy + Zero> Mul
for Matrix<T>
{
// TODO: Implement a faster algorithm.
type Output = Self;
fn mul(self, other: Self) -> Self::Output {
@ -399,7 +368,9 @@ impl<T: Mul<Output = T> + Add + Sub + Copy + Zero> Mul for Matrix<T> {
}
}
impl<T: Add<Output = T> + Sub + Mul + Copy + Zero> Add for Matrix<T> {
impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy + Copy + Zero> Add
for Matrix<T>
{
type Output = Self;
fn add(self, other: Self) -> Self::Output {
if self.height() == other.height() && self.width() == other.width() {
@ -416,7 +387,10 @@ impl<T: Add<Output = T> + Sub + Mul + Copy + Zero> Add for Matrix<T> {
}
}
impl<T: Add + Sub<Output = T> + Mul + Copy + Neg<Output = T>> Neg for Matrix<T> {
impl<
T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy + Copy + Neg<Output = T>,
> Neg for Matrix<T>
{
type Output = Self;
fn neg(self) -> Self::Output {
let mut out = self;
@ -429,7 +403,17 @@ impl<T: Add + Sub<Output = T> + Mul + Copy + Neg<Output = T>> Neg for Matrix<T>
}
}
impl<T: Add + Sub<Output = T> + Mul + Copy + Zero + Neg<Output = T>> Sub for Matrix<T> {
impl<
T: Mul<Output = T>
+ Add<Output = T>
+ Sub<Output = T>
+ Zero
+ Copy
+ Copy
+ Zero
+ Neg<Output = T>,
> Sub for Matrix<T>
{
type Output = Self;
fn sub(self, other: Self) -> Self::Output {
if self.height() == other.height() && self.width() == other.width() {
@ -447,7 +431,7 @@ impl<T: Add + Sub<Output = T> + Mul + Copy + Zero + Neg<Output = T>> Sub for Mat
/// I plan to change this to the default From trait as soon as some sort
/// of specialization system is implemented.
/// You can track this issue [here](https://github.com/rust-lang/rust/issues/42721).
pub trait MatrixInto<T: Mul + Add + Sub> {
pub trait MatrixInto<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy> {
/// Method for converting a matrix into a matrix of type `Matrix<T>`
fn matrix_into(self) -> Matrix<T>;
}
@ -465,7 +449,11 @@ pub trait MatrixInto<T: Mul + Add + Sub> {
///
/// assert_eq!(c, b);
/// ```
impl<T: Mul + Add + Sub, S: Mul + Add + Sub + Into<T>> MatrixInto<T> for Matrix<S> {
impl<
T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Copy,
S: Mul<Output = S> + Add<Output = S> + Sub<Output = S> + Zero + Copy + Into<T>,
> MatrixInto<T> for Matrix<S>
{
fn matrix_into(self) -> Matrix<T> {
let mut out = Vec::new();
for row in self.entries {