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pub trait ScalarMath<T>
{
/// Adds a scalar value to each element of self.
///
/// # Arguments
///
/// * `value` - The scalar value to be added to each element of the matrix.
///
/// # Returns
///
/// A new Self with the same dimensions as the original, where each element is the sum
/// of the corresponding element in the original self and the provided scalar value.
///
/// # Examples
///
/// ```
/// # use vmm::*;
/// let matrix = mat2_raw![[1.0, 2.0], [3.0, 4.0]];
/// let result = matrix.sum_scalar(2.0);
/// assert_eq!(result, mat2_raw![[3.0, 4.0], [5.0, 6.0]]);
/// ```
///
/// # Notes
///
/// - The original self remains unchanged; a new Self is returned with the updated values.
/// - This method relies on the `Clone` trait, so the elements of self must implement `Clone`.
///
/// # See Also
///
/// - [`Mat2`](super::matrices::Mat2): The matrix type used by the example.
/// - [`Vec2`](super::vectors::Vec2): The vector type representing rows or columns of the matrix.
fn sum_scalar(&self, value: T) -> Self;
/// Subtracts a scalar value to each element of self.
///
/// # Arguments
///
/// * `value` - The scalar value to be subtracted to each element of the matrix.
///
/// # Returns
///
/// A new Self with the same dimensions as the original, where each element is the subtraction
/// of the corresponding element in the original self and the provided scalar value.
///
/// # Examples
///
/// ```
/// # use vmm::*;
/// let matrix = mat2_raw![[1.0, 2.0], [3.0, 4.0]];
/// let result = matrix.sub_scalar(2.0);
/// assert_eq!(result, mat2_raw![[-1.0, 0.0], [1.0, 2.0]]);
/// ```
///
/// # Notes
///
/// - The original self remains unchanged; a new Self is returned with the updated values.
/// - This method relies on the `Clone` trait, so the elements of self must implement `Clone`.
///
/// # See Also
///
/// - [`Mat2`](super::matrices::Mat2): The matrix type used by the example.
/// - [`Vec2`](super::vectors::Vec2): The vector type representing rows or columns of the matrix.
fn sub_scalar(&self, value: T) -> Self;
/// Multiply each element of self by a scalar value.
///
/// # Arguments
///
/// * `value` - The scalar value to multiply each element of the matrix.
///
/// # Returns
///
/// A new Self with the same dimensions as the original, where each element is the multiplication
/// of the corresponding element in the original self by the provided scalar value.
///
/// # Examples
///
/// ```
/// # use vmm::*;
/// let matrix = mat2_raw![[1.0, 2.0], [3.0, 4.0]];
/// let result = matrix.mul_scalar(2.0);
/// assert_eq!(result, mat2_raw![[2.0, 4.0], [6.0, 8.0]]);
/// ```
///
/// # Notes
///
/// - The original self remains unchanged; a new Self is returned with the updated values.
/// - This method relies on the `Clone` trait, so the elements of self must implement `Clone`.
///
/// # See Also
///
/// - [`Mat2`](super::matrices::Mat2): The matrix type used by the example.
/// - [`Vec2`](super::vectors::Vec2): The vector type representing rows or columns of the matrix.
fn mul_scalar(&self, value: T) -> Self;
/// Divides each element of self by a scalar value.
///
/// # Arguments
///
/// * `value` - The scalar value to divide each element of the matrix.
///
/// # Returns
///
/// A new Self with the same dimensions as the original, where each element is the division
/// of the corresponding element in the original self by the provided scalar value.
///
/// # Examples
///
/// ```
/// # use vmm::*;
/// let matrix = mat2_raw![[1.0, 2.0], [3.0, 4.0]];
/// let result = matrix.div_scalar(2.0);
/// assert_eq!(result, mat2_raw![[0.5, 1.0], [1.5, 2.0]]);
/// ```
///
/// # Notes
///
/// - The original self remains unchanged; a new Self is returned with the updated values.
/// - This method relies on the `Clone` trait, so the elements of self must implement `Clone`.
///
/// # See Also
///
/// - [`Mat2`](super::matrices::Mat2): The matrix type used by the example.
/// - [`Vec2`](super::vectors::Vec2): The vector type representing rows or columns of the matrix.
fn div_scalar(&self, value: T) -> Self;
}
pub trait Sqrrt {
fn sqrrt(&self) -> Self;
}
impl Sqrrt for f32 {
fn sqrrt(&self) -> Self {
self.sqrt()
}
}
impl Sqrrt for f64 {
fn sqrrt(&self) -> Self {
self.sqrt()
}
}
pub trait UnitValue {
fn unit_value() -> Self;
}
impl UnitValue for i8 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for i16 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for i32 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for i64 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for i128 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for isize {
fn unit_value() -> Self {
1
}
}
impl UnitValue for u8 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for u16 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for u32 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for u64 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for u128 {
fn unit_value() -> Self {
1
}
}
impl UnitValue for usize {
fn unit_value() -> Self {
1
}
}
impl UnitValue for f32 {
fn unit_value() -> Self {
1.0_f32
}
}
impl UnitValue for f64 {
fn unit_value() -> Self {
1.0_f64
}
}
pub trait SinCosTan {
fn coss(&self) -> Self;
fn sinn(&self) -> Self;
fn tann(&self) -> Self;
}
impl SinCosTan for i8 {
fn coss(&self) -> Self {
(*self as f64).cos() as i8
}
fn sinn(&self) -> Self {
(*self as f64).cos() as i8
}
fn tann(&self) -> Self {
(*self as f64).cos() as i8
}
}
impl SinCosTan for i16 {
fn coss(&self) -> Self {
(*self as f64).cos() as i16
}
fn sinn(&self) -> Self {
(*self as f64).cos() as i16
}
fn tann(&self) -> Self {
(*self as f64).cos() as i16
}
}
impl SinCosTan for i32 {
fn coss(&self) -> Self {
(*self as f64).cos() as i32
}
fn sinn(&self) -> Self {
(*self as f64).cos() as i32
}
fn tann(&self) -> Self {
(*self as f64).cos() as i32
}
}
impl SinCosTan for i64 {
fn coss(&self) -> Self {
(*self as f64).cos() as i64
}
fn sinn(&self) -> Self {
(*self as f64).cos() as i64
}
fn tann(&self) -> Self {
(*self as f64).cos() as i64
}
}
impl SinCosTan for u8 {
fn coss(&self) -> Self {
(*self as f64).cos() as u8
}
fn sinn(&self) -> Self {
(*self as f64).cos() as u8
}
fn tann(&self) -> Self {
(*self as f64).cos() as u8
}
}
impl SinCosTan for u16 {
fn coss(&self) -> Self {
(*self as f64).cos() as u16
}
fn sinn(&self) -> Self {
(*self as f64).cos() as u16
}
fn tann(&self) -> Self {
(*self as f64).cos() as u16
}
}
impl SinCosTan for u32 {
fn coss(&self) -> Self {
(*self as f64).cos() as u32
}
fn sinn(&self) -> Self {
(*self as f64).cos() as u32
}
fn tann(&self) -> Self {
(*self as f64).cos() as u32
}
}
impl SinCosTan for u64 {
fn coss(&self) -> Self {
(*self as f64).cos() as u64
}
fn sinn(&self) -> Self {
(*self as f64).cos() as u64
}
fn tann(&self) -> Self {
(*self as f64).cos() as u64
}
}
impl SinCosTan for f32 {
fn coss(&self) -> Self {
self.cos()
}
fn sinn(&self) -> Self {
self.sin()
}
fn tann(&self) -> Self {
self.tan()
}
}
impl SinCosTan for f64 {
fn coss(&self) -> Self {
self.cos()
}
fn sinn(&self) -> Self {
self.sin()
}
fn tann(&self) -> Self {
self.tan()
}
}