Struct oxid::framework::math::Mat4

#[repr(C)]
pub struct Mat4 {
    pub x_axis: Vec4,
    pub y_axis: Vec4,
    pub z_axis: Vec4,
    pub w_axis: Vec4,
}

A 4x4 column major matrix.

This type is 16 byte aligned.

Fields

x_axis: Vec4

y_axis: Vec4

z_axis: Vec4

w_axis: Vec4

Implementations

impl Mat4

pub const fn zero() -> Mat4

Creates a 4x4 matrix with all elements set to 0.0.

pub const fn identity() -> Mat4

Creates a 4x4 identity matrix.

pub fn from_cols(x_axis: Vec4, y_axis: Vec4, z_axis: Vec4, w_axis: Vec4) -> Mat4

Creates a 4x4 matrix from four column vectors.

pub fn from_cols_array(m: &[f32; 16]) -> Mat4

Creates a 4x4 matrix from a [f32; 16] stored in column major order. If your data is stored in row major you will need to transpose the returned matrix.

pub fn to_cols_array(&self) -> [f32; 16]

Creates a [f32; 16] storing data in column major order. If you require data in row major order transpose the matrix first.

pub fn from_cols_array_2d(m: &[[f32; 4]; 4]) -> Mat4

Creates a 4x4 matrix from a [[f32; 4]; 4] stored in column major order. If your data is in row major order you will need to transpose the returned matrix.

pub fn to_cols_array_2d(&self) -> [[f32; 4]; 4]

Creates a [[f32; 4]; 4] storing data in column major order. If you require data in row major order transpose the matrix first.

pub fn from_scale_rotation_translation(
    scale: Vec3,
    rotation: Quat,
    translation: Vec3
) -> Mat4

Creates a 4x4 homogeneous transformation matrix from the given scale, rotation and translation.

pub fn from_rotation_translation(rotation: Quat, translation: Vec3) -> Mat4

Creates a 4x4 homogeneous transformation matrix from the given translation.

pub fn to_scale_rotation_translation(&self) -> (Vec3, Quat, Vec3)

Extracts scale, rotation and translation from self. The input matrix is expected to be a 4x4 homogeneous transformation matrix otherwise the output will be invalid.

pub fn from_quat(rotation: Quat) -> Mat4

Creates a 4x4 homogeneous transformation matrix from the given rotation.

pub fn from_translation(translation: Vec3) -> Mat4

Creates a 4x4 homogeneous transformation matrix from the given translation.

pub fn from_axis_angle(axis: Vec3, angle: f32) -> Mat4

Creates a 4x4 homogeneous transformation matrix containing a rotation around a normalized rotation axis of angle (in radians).

pub fn from_rotation_ypr(yaw: f32, pitch: f32, roll: f32) -> Mat4

Creates a 4x4 homogeneous transformation matrix containing a rotation around the given Euler angles (in radians).

pub fn from_rotation_x(angle: f32) -> Mat4

Creates a 4x4 homogeneous transformation matrix containing a rotation around the x axis of angle (in radians).

pub fn from_rotation_y(angle: f32) -> Mat4

Creates a 4x4 homogeneous transformation matrix containing a rotation around the y axis of angle (in radians).

pub fn from_rotation_z(angle: f32) -> Mat4

Creates a 4x4 homogeneous transformation matrix containing a rotation around the z axis of angle (in radians).

pub fn from_scale(scale: Vec3) -> Mat4

Creates a 4x4 homogeneous transformation matrix containing the given non-uniform scale.

pub fn set_x_axis(&mut self, x: Vec4)

👎Deprecated since 0.10.0:

please use .x_axis instead

pub fn set_y_axis(&mut self, y: Vec4)

👎Deprecated since 0.10.0:

please use .y_axis instead

pub fn set_z_axis(&mut self, z: Vec4)

👎Deprecated since 0.10.0:

please use .z_axis instead

pub fn set_w_axis(&mut self, w: Vec4)

👎Deprecated since 0.10.0:

please use .w_axis instead

pub fn x_axis(&self) -> Vec4

👎Deprecated since 0.10.0:

please use .x_axis instead

pub fn y_axis(&self) -> Vec4

👎Deprecated since 0.10.0:

please use .y_axis instead

pub fn z_axis(&self) -> Vec4

👎Deprecated since 0.10.0:

please use .z_axis instead

pub fn w_axis(&self) -> Vec4

👎Deprecated since 0.10.0:

please use .w_axis instead

pub fn x_axis_mut(&mut self) -> &mut Vec4

👎Deprecated since 0.10.0:

please use .x_axis instead

pub fn y_axis_mut(&mut self) -> &mut Vec4

👎Deprecated since 0.10.0:

please use .y_axis instead

pub fn z_axis_mut(&mut self) -> &mut Vec4

👎Deprecated since 0.10.0:

please use .z_axis instead

pub fn w_axis_mut(&mut self) -> &mut Vec4

👎Deprecated since 0.10.0:

please use .w_axis instead

pub fn transpose(&self) -> Mat4

Returns the transpose of self.

pub fn determinant(&self) -> f32

Returns the determinant of self.

pub fn inverse(&self) -> Mat4

Returns the inverse of self.

If the matrix is not invertible the returned matrix will be invalid.

pub fn look_at_lh(eye: Vec3, center: Vec3, up: Vec3) -> Mat4

Creates a left-handed view matrix using a camera position, an up direction, and a focal point.

pub fn look_at_rh(eye: Vec3, center: Vec3, up: Vec3) -> Mat4

Creates a right-handed view matrix using a camera position, an up direction, and a focal point.

pub fn perspective_rh_gl(
    fov_y_radians: f32,
    aspect_ratio: f32,
    z_near: f32,
    z_far: f32
) -> Mat4

Creates a right-handed perspective projection matrix with [-1,1] depth range. This is the same as the OpenGL gluPerspective function. See https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/gluPerspective.xml

pub fn perspective_lh(
    fov_y_radians: f32,
    aspect_ratio: f32,
    z_near: f32,
    z_far: f32
) -> Mat4

Creates a left-handed perspective projection matrix with [0,1] depth range.

pub fn perspective_rh(
    fov_y_radians: f32,
    aspect_ratio: f32,
    z_near: f32,
    z_far: f32
) -> Mat4

Creates a right-handed perspective projection matrix with [0,1] depth range.

pub fn perspective_infinite_lh(
    fov_y_radians: f32,
    aspect_ratio: f32,
    z_near: f32
) -> Mat4

Creates an infinite left-handed perspective projection matrix with [0,1] depth range.

pub fn perspective_infinite_reverse_lh(
    fov_y_radians: f32,
    aspect_ratio: f32,
    z_near: f32
) -> Mat4

Creates an infinite left-handed perspective projection matrix with [0,1] depth range.

pub fn perspective_infinite_rh(
    fov_y_radians: f32,
    aspect_ratio: f32,
    z_near: f32
) -> Mat4

Creates an infinite right-handed perspective projection matrix with [0,1] depth range.

pub fn perspective_infinite_reverse_rh(
    fov_y_radians: f32,
    aspect_ratio: f32,
    z_near: f32
) -> Mat4

Creates an infinite reverse right-handed perspective projection matrix with [0,1] depth range.

pub fn orthographic_rh_gl(
    left: f32,
    right: f32,
    bottom: f32,
    top: f32,
    near: f32,
    far: f32
) -> Mat4

Creates a right-handed orthographic projection matrix with [-1,1] depth range. This is the same as the OpenGL glOrtho function in OpenGL. See https://www.khronos.org/registry/OpenGL-Refpages/gl2.1/xhtml/glOrtho.xml

pub fn orthographic_lh(
    left: f32,
    right: f32,
    bottom: f32,
    top: f32,
    near: f32,
    far: f32
) -> Mat4

Creates a left-handed orthographic projection matrix with [0,1] depth range.

pub fn orthographic_rh(
    left: f32,
    right: f32,
    bottom: f32,
    top: f32,
    near: f32,
    far: f32
) -> Mat4

Creates a right-handed orthographic projection matrix with [0,1] depth range.

pub fn mul_vec4(&self, other: Vec4) -> Vec4

Transforms a 4D vector.

pub fn mul_mat4(&self, other: &Mat4) -> Mat4

Multiplies two 4x4 matrices.

pub fn add_mat4(&self, other: &Mat4) -> Mat4

Adds two 4x4 matrices.

pub fn sub_mat4(&self, other: &Mat4) -> Mat4

Subtracts two 4x4 matrices.

pub fn mul_scalar(&self, other: f32) -> Mat4

Multiplies this matrix by a scalar value.

pub fn transform_point3(&self, other: Vec3) -> Vec3

Transforms the given Vec3 as 3D point.

This is the equivalent of multiplying the Vec3 as a Vec4 where w is 1.0.

pub fn transform_point3a(&self, other: Vec3A) -> Vec3A

Transforms the given Vec3A as 3D point.

This is the equivalent of multiplying the Vec3A as a Vec4 where w is 1.0.

pub fn transform_vector3(&self, other: Vec3) -> Vec3

Transforms the give Vec3 as 3D vector.

This is the equivalent of multiplying the Vec3 as a Vec4 where w is 0.0.

pub fn transform_vector3a(&self, other: Vec3A) -> Vec3A

Transforms the give Vec3A as 3D vector.

This is the equivalent of multiplying the Vec3A as a Vec4 where w is 0.0.

pub fn abs_diff_eq(&self, other: Mat4, max_abs_diff: f32) -> bool

Returns true if the absolute difference of all elements between self and other is less than or equal to max_abs_diff.

This can be used to compare if two Mat4’s contain similar elements. It works best when comparing with a known value. The max_abs_diff that should be used used depends on the values being compared against.

For more on floating point comparisons see https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/

Trait Implementations

impl Add<Mat4> for Mat4

type Output = Mat4

The resulting type after applying the + operator.

fn add(self, other: Mat4) -> Mat4

Performs the + operation.

impl AsMut<[f32; 16]> for Mat4

fn as_mut(&mut self) -> &mut [f32; 16]

Converts this type into a mutable reference of the (usually inferred) input type.

impl AsRef<[f32; 16]> for Mat4

fn as_ref(&self) -> &[f32; 16]

Converts this type into a shared reference of the (usually inferred) input type.

impl Clone for Mat4

fn clone(&self) -> Mat4

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for Mat4

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

Formats the value using the given formatter.

impl Default for Mat4

fn default() -> Mat4

Returns the “default value” for a type.

impl Display for Mat4

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

Formats the value using the given formatter.

impl Mul<Mat4> for Mat4

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, other: Mat4) -> Mat4

Performs the * operation.

impl Mul<Vec4> for Mat4

type Output = Vec4

The resulting type after applying the * operator.

fn mul(self, other: Vec4) -> Vec4

Performs the * operation.

impl Mul<f32> for Mat4

type Output = Mat4

The resulting type after applying the * operator.

fn mul(self, other: f32) -> Mat4

Performs the * operation.

impl PartialEq<Mat4> for Mat4

fn eq(&self, other: &Mat4) -> 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<Mat4> for Mat4

fn partial_cmp(&self, other: &Mat4) -> 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<'a> Product<&'a Mat4> for Mat4

fn product<I>(iter: I) -> Mat4where
    I: Iterator<Item = &'a Mat4>,

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl Sub<Mat4> for Mat4

type Output = Mat4

The resulting type after applying the - operator.

fn sub(self, other: Mat4) -> Mat4

Performs the - operation.

impl<'a> Sum<&'a Mat4> for Mat4

fn sum<I>(iter: I) -> Mat4where
    I: Iterator<Item = &'a Mat4>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl Copy for Mat4

impl StructuralPartialEq for Mat4