Struct mymatrix::Matrix

pub struct Matrix { /* private fields */ }

Implementations

impl Matrix

pub fn new() -> Matrix

Construct a new matrix object.

pub fn create(row: usize, col: usize, value: Fraction) -> Matrix

Construct a matrix with row x col identical elements.

pub fn eye(n: usize) -> Matrix

Generate an n-order unit matrix.

pub fn row_size(&self) -> usize

Return the number of rows in the matrix.

pub fn col_size(&self) -> usize

Return the number of columns in the matrix.

pub fn is_empty(&self) -> bool

Returns true if the matrix contains no elements.

pub fn iter(&self) -> Iter<'_, Vector>

Returns an iterator over the matrix.

pub fn split_row(&self, n: usize) -> (Matrix, Matrix)

Split this matrix by rows.

pub fn split_col(&self, n: usize) -> (Matrix, Matrix)

Split this matrix by columns.

pub fn transpose(&self) -> Matrix

Returns the transpose of the matrix.

pub fn rank(&self) -> usize

Calculate the rank of this matrix.

pub fn det(&self) -> Option<Fraction>

Compute the determinant of this matrix.

pub fn inv(&self) -> Option<Matrix>

Compute the inverse of this matrix.

pub fn append_row(&mut self, matrix: Matrix) -> &Self

Expand this matrix by rows.

pub fn append_col(&mut self, matrix: Matrix) -> &Self

Expand this matrix by columns.

pub fn e_row_swap(&mut self, i: usize, j: usize) -> &Self

Elementary Row Operations: Row Swap.

pub fn e_scalar_multiplication(&mut self, i: usize, k: Fraction) -> &Self

Elementary Row Operations: Scalar Multiplication.

pub fn e_row_sum(&mut self, i: usize, j: usize, k: Fraction) -> &Self

Elementary Row Operations: Row Sum.

pub fn to_row_echelon(&mut self) -> &Self

Transform this matrix to general row echelon form.

Trait Implementations

impl Add for Matrix

type Output = Matrix

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation.

impl AddAssign for Matrix

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl Clone for Matrix

fn clone(&self) -> Matrix

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Matrix

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for Matrix

fn default() -> Matrix

Returns the “default value” for a type.

impl Display for Matrix

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<const R: usize, const C: usize> From<[[Fraction; C]; R]> for Matrix

fn from(value: [[Fraction; C]; R]) -> Self

Converts to this type from the input type.

impl<const R: usize, const C: usize> From<[[i32; C]; R]> for Matrix

fn from(value: [[i32; C]; R]) -> Self

Converts to this type from the input type.

impl Hash for Matrix

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl Index<usize> for Matrix

type Output = Vector

The returned type after indexing.

fn index(&self, index: usize) -> &Self::Output

Performs the indexing (container[index]) operation.

impl IndexMut<usize> for Matrix

fn index_mut(&mut self, index: usize) -> &mut Self::Output

Performs the mutable indexing (container[index]) operation.

impl Mul<Fraction> for Matrix

type Output = Matrix

The resulting type after applying the * operator.

fn mul(self, rhs: Fraction) -> Self::Output

Performs the * operation.

impl Mul for Matrix

type Output = Matrix

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation.

impl MulAssign<Fraction> for Matrix

fn mul_assign(&mut self, rhs: Fraction)

Performs the *= operation.

impl MulAssign for Matrix

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl PartialEq for Matrix

fn eq(&self, other: &Matrix) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for Matrix

fn partial_cmp(&self, other: &Matrix) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl Sub for Matrix

type Output = Matrix

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl SubAssign for Matrix

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl Eq for Matrix

impl StructuralPartialEq for Matrix