Struct Mat3 

#[repr(C)]
pub struct Mat3<T> {
    pub x_axis: Vec3<T>,
    pub y_axis: Vec3<T>,
    pub z_axis: Vec3<T>,
}

A 3x3 column major matrix.

Fields

x_axis: Vec3<T>

y_axis: Vec3<T>

z_axis: Vec3<T>

Implementations

impl<T: Copy + AbsDiffEq<Epsilon = T>> Mat3<T>

pub fn abs_diff_eq(&self, other: &Self) -> bool

Returns true if the two values are approximately equal according to the absolute difference between their components.

impl<T: Copy + RelativeEq<Epsilon = T>> Mat3<T>

pub fn relative_eq(&self, other: &Self) -> bool

Returns true if the two values are approximately equal according to the absolute difference between their components, as well as relative-based comparisons.

impl<T: Copy + UlpsEq<Epsilon = T>> Mat3<T>

pub fn ulps_eq(&self, other: &Self) -> bool

Returns true if the two values are approximately equal according to the absolute difference between their components, as well as ULPs (Units in Last Place).

impl<T: Pod + NoUninit> Mat3<T>

pub fn as_bytes(&self) -> &[u8]

This type re-interpreted as a slice of bytes.

pub fn as_bytes_mut(&mut self) -> &mut [u8]

This type re-interpreted as a mutable slice of bytes.

impl<T> Mat3<T>

pub const fn new(x_axis: Vec3<T>, y_axis: Vec3<T>, z_axis: Vec3<T>) -> Self

Create a new matrix.

impl<T: Num> Mat3<T>

pub const ZERO: Self

Matrix with all components set to zero.

pub const IDENTITY: Self

Identity matrix.

impl<T: Copy> Mat3<T>

pub const fn from_mat4(m: &Mat4<T>) -> Self

Create from a 4x4 matrix, discarding the 4th row and column.

pub const fn transpose(&self) -> Self

impl<T: Num> Mat3<T>

pub fn translation(amount: impl Into<Vec2<T>>) -> Self

Create a translation matrix.

pub fn scale(scale: impl Into<Vec3<T>>) -> Self

Create a scaling matrix.

pub fn transform_pos2(&self, rhs: Vec2<T>) -> Vec2<T>

Transforms a 2D position.

pub fn transform_vec2(&self, rhs: Vec2<T>) -> Vec2<T>

Transforms a 2D vector.

pub fn transform_vec3(&self, rhs: Vec3<T>) -> Vec3<T>

Transforms a 3D vector.

pub fn mul_mat3(&self, rhs: &Self) -> Self

Multiply by another matrix.

impl<T: Signed> Mat3<T>

pub fn determinant(&self) -> T

Returns the determinant.

impl<T: Float> Mat3<T>

pub fn inverse(&self) -> Option<Self>

Invert the matrix.

pub fn axis_angle(axis: Vec3<T>, angle: impl Angle<T>) -> Self

Create a matrix rotation around axis by the angle.

pub fn rotation_x(angle: impl Angle<T>) -> Self

Create a rotation matrix around the x-axis.

pub fn rotation_y(angle: impl Angle<T>) -> Self

Create a rotation matrix around the y-axis.

pub fn rotation_z(angle: impl Angle<T>) -> Self

Create a rotation matrix around the z-axis.

Trait Implementations

impl<T> AbsDiffEq for Mat3<T>

where T: AbsDiffEq, T::Epsilon: Copy,

type Epsilon = <T as AbsDiffEq>::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> Self::Epsilon

The default tolerance to use when testing values that are close together.

fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

impl<T: Clone> Clone for Mat3<T>

fn clone(&self) -> Mat3<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Mat3<T>

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

Formats the value using the given formatter.

impl<'de, T: Deserialize<'de>> Deserialize<'de> for Mat3<T>

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<T: Copy + Div<T, Output = T>> Div<T> for &Mat3<T>

type Output = Mat3<T>

The resulting type after applying the / operator.

fn div(self, rhs: T) -> Self::Output

Performs the / operation.

impl<T: Copy + Div<T, Output = T>> Div<T> for Mat3<T>

type Output = Mat3<T>

The resulting type after applying the / operator.

fn div(self, rhs: T) -> Self::Output

Performs the / operation.

impl<T: Copy + DivAssign<T>> DivAssign<&T> for Mat3<T>

fn div_assign(&mut self, rhs: &T)

Performs the /= operation.

impl<T: Copy + DivAssign<T>> DivAssign<T> for Mat3<T>

fn div_assign(&mut self, rhs: T)

Performs the /= operation.

impl<T: Num> From<Mat2<T>> for Mat3<T>

fn from(_: Mat2<T>) -> Self

Converts to this type from the input type.

impl<T: Num> From<Mat3<T>> for Affine3<T>

fn from(value: Mat3<T>) -> Self

Converts to this type from the input type.

impl<T: Num> From<Mat3<T>> for Mat4<T>

fn from(_: Mat3<T>) -> Self

Converts to this type from the input type.

impl<T: Hash> Hash for Mat3<T>

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<T: Float> Mul<&Mat3<T>> for &Mat3<T>

type Output = Mat3<T>

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3<T>) -> Self::Output

Performs the * operation.

impl<T: Float> Mul<&Mat3<T>> for Mat3<T>

type Output = Mat3<T>

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3<T>) -> Self::Output

Performs the * operation.

impl<T: Float> Mul<Mat3<T>> for &Mat3<T>

type Output = Mat3<T>

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3<T>) -> Self::Output

Performs the * operation.

impl<T: Copy + Mul<T, Output = T>> Mul<T> for &Mat3<T>

type Output = Mat3<T>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T: Copy + Mul<T, Output = T>> Mul<T> for Mat3<T>

type Output = Mat3<T>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T: Float> Mul for Mat3<T>

type Output = Mat3<T>

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3<T>) -> Self::Output

Performs the * operation.

impl<T: Copy + MulAssign<T>> MulAssign<&T> for Mat3<T>

fn mul_assign(&mut self, rhs: &T)

Performs the *= operation.

impl<T: Copy + MulAssign<T>> MulAssign<T> for Mat3<T>

fn mul_assign(&mut self, rhs: T)

Performs the *= operation.

impl<T: Neg<Output = T>> Neg for Mat3<T>

type Output = Mat3<T>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<T: Numeric<AsU8 = u8, AsU16 = u16, AsU32 = u32, AsU64 = u64, AsU128 = u128, AsUSize = usize, AsI8 = i8, AsI16 = i16, AsI32 = i32, AsI64 = i64, AsI128 = i128, AsISize = isize, AsF32 = f32, AsF64 = f64>> Numeric for Mat3<T>

type AsU8 = Mat3<u8>

type AsU16 = Mat3<u16>

type AsU32 = Mat3<u32>

type AsU64 = Mat3<u64>

type AsU128 = Mat3<u128>

type AsUSize = Mat3<usize>

type AsI8 = Mat3<i8>

type AsI16 = Mat3<i16>

type AsI32 = Mat3<i32>

type AsI64 = Mat3<i64>

type AsI128 = Mat3<i128>

type AsISize = Mat3<isize>

type AsF32 = Mat3<f32>

type AsF64 = Mat3<f64>

fn to_u8(self) -> Mat3<u8>

fn to_u16(self) -> Mat3<u16>

fn to_u32(self) -> Mat3<u32>

fn to_u64(self) -> Mat3<u64>

fn to_u128(self) -> Mat3<u128>

fn to_usize(self) -> Mat3<usize>

fn to_i8(self) -> Mat3<i8>

fn to_i16(self) -> Mat3<i16>

fn to_i32(self) -> Mat3<i32>

fn to_i64(self) -> Mat3<i64>

fn to_i128(self) -> Mat3<i128>

fn to_isize(self) -> Mat3<isize>

fn to_f32(self) -> Mat3<f32>

fn to_f64(self) -> Mat3<f64>

impl<T: Ord> Ord for Mat3<T>

fn cmp(&self, other: &Mat3<T>) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl<T: PartialEq> PartialEq for Mat3<T>

fn eq(&self, other: &Mat3<T>) -> bool

Tests for self and other values to be equal, and is used by ==.

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

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

impl<T: PartialOrd> PartialOrd for Mat3<T>

fn partial_cmp(&self, other: &Mat3<T>) -> Option<Ordering>

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

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

Tests less than (for self and other) and is used by the < operator.

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

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

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

Tests greater than (for self and other) and is used by the > operator.

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

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

impl<T> RelativeEq for Mat3<T>

where T: RelativeEq, T::Epsilon: Copy,

fn default_max_relative() -> Self::Epsilon

The default relative tolerance for testing values that are far-apart.

fn relative_eq( &self, other: &Self, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.

fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of RelativeEq::relative_eq.

impl<T: Copy + Rem<T, Output = T>> Rem<T> for &Mat3<T>

type Output = Mat3<T>

The resulting type after applying the % operator.

fn rem(self, rhs: T) -> Self::Output

Performs the % operation.

impl<T: Copy + Rem<T, Output = T>> Rem<T> for Mat3<T>

type Output = Mat3<T>

The resulting type after applying the % operator.

fn rem(self, rhs: T) -> Self::Output

Performs the % operation.

impl<T: Copy + RemAssign<T>> RemAssign<&T> for Mat3<T>

fn rem_assign(&mut self, rhs: &T)

Performs the %= operation.

impl<T: Copy + RemAssign<T>> RemAssign<T> for Mat3<T>

fn rem_assign(&mut self, rhs: T)

Performs the %= operation.

impl<T: Serialize> Serialize for Mat3<T>

fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>

where S: Serializer,

Serialize this value into the given Serde serializer.

impl<T> UlpsEq for Mat3<T>

where T: UlpsEq, T::Epsilon: Copy,

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart.

fn ulps_eq(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of UlpsEq::ulps_eq.

impl<T: Zeroable> Zeroable for Mat3<T>

fn zeroed() -> Self

Calls zeroed.

impl<T: Copy> Copy for Mat3<T>

impl<T: Eq> Eq for Mat3<T>

impl<T: Pod> Pod for Mat3<T>

impl<T> StructuralPartialEq for Mat3<T>