Struct nalgebra::geometry::Orthographic3

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#[repr(C)]
pub struct Orthographic3<T> { /* private fields */ }

Expand description

A 3D orthographic projection stored as a homogeneous 4x4 matrix.

Implementations

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impl<T> Orthographic3<T>

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pub const fn from_matrix_unchecked(matrix: Matrix4<T>) -> Self

Wraps the given matrix to interpret it as a 3D orthographic matrix.

It is not checked whether or not the given matrix actually represents an orthographic projection.

Example

let mat = Matrix4::new(
    2.0 / 9.0, 0.0,        0.0,         -11.0 / 9.0,
    0.0,       2.0 / 18.0, 0.0,         -22.0 / 18.0,
    0.0,       0.0,       -2.0 / 999.9, -1000.1 / 999.9,
    0.0,       0.0,        0.0,         1.0
);
let proj = Orthographic3::from_matrix_unchecked(mat);
assert_eq!(proj, Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0));

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impl<T: RealField> Orthographic3<T>

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pub fn new(left: T, right: T, bottom: T, top: T, znear: T, zfar: T) -> Self

Creates a new orthographic projection matrix.

This follows the OpenGL convention, so this will flip the z axis.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
// Check this projection actually transforms the view cuboid into the double-unit cube.
// See https://www.nalgebra.org/docs/user_guide/projections#orthographic-projection for more details.
let p1 = Point3::new(1.0, 2.0, -0.1);
let p2 = Point3::new(1.0, 2.0, -1000.0);
let p3 = Point3::new(1.0, 20.0, -0.1);
let p4 = Point3::new(1.0, 20.0, -1000.0);
let p5 = Point3::new(10.0, 2.0, -0.1);
let p6 = Point3::new(10.0, 2.0, -1000.0);
let p7 = Point3::new(10.0, 20.0, -0.1);
let p8 = Point3::new(10.0, 20.0, -1000.0);

assert_relative_eq!(proj.project_point(&p1), Point3::new(-1.0, -1.0, -1.0));
assert_relative_eq!(proj.project_point(&p2), Point3::new(-1.0, -1.0,  1.0));
assert_relative_eq!(proj.project_point(&p3), Point3::new(-1.0,  1.0, -1.0));
assert_relative_eq!(proj.project_point(&p4), Point3::new(-1.0,  1.0,  1.0));
assert_relative_eq!(proj.project_point(&p5), Point3::new( 1.0, -1.0, -1.0));
assert_relative_eq!(proj.project_point(&p6), Point3::new( 1.0, -1.0,  1.0));
assert_relative_eq!(proj.project_point(&p7), Point3::new( 1.0,  1.0, -1.0));
assert_relative_eq!(proj.project_point(&p8), Point3::new( 1.0,  1.0,  1.0));

// This also works with flipped axis. In other words, we allow that
// `left > right`, `bottom > top`, and/or `znear > zfar`.
let proj = Orthographic3::new(10.0, 1.0, 20.0, 2.0, 1000.0, 0.1);

assert_relative_eq!(proj.project_point(&p1), Point3::new( 1.0,  1.0,  1.0));
assert_relative_eq!(proj.project_point(&p2), Point3::new( 1.0,  1.0, -1.0));
assert_relative_eq!(proj.project_point(&p3), Point3::new( 1.0, -1.0,  1.0));
assert_relative_eq!(proj.project_point(&p4), Point3::new( 1.0, -1.0, -1.0));
assert_relative_eq!(proj.project_point(&p5), Point3::new(-1.0,  1.0,  1.0));
assert_relative_eq!(proj.project_point(&p6), Point3::new(-1.0,  1.0, -1.0));
assert_relative_eq!(proj.project_point(&p7), Point3::new(-1.0, -1.0,  1.0));
assert_relative_eq!(proj.project_point(&p8), Point3::new(-1.0, -1.0, -1.0));

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pub fn from_fov(aspect: T, vfov: T, znear: T, zfar: T) -> Self

Creates a new orthographic projection matrix from an aspect ratio and the vertical field of view.

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pub fn inverse(&self) -> Matrix4<T>

Retrieves the inverse of the underlying homogeneous matrix.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
let inv = proj.inverse();

assert_relative_eq!(inv * proj.as_matrix(), Matrix4::identity());
assert_relative_eq!(proj.as_matrix() * inv, Matrix4::identity());

let proj = Orthographic3::new(10.0, 1.0, 20.0, 2.0, 1000.0, 0.1);
let inv = proj.inverse();
assert_relative_eq!(inv * proj.as_matrix(), Matrix4::identity());
assert_relative_eq!(proj.as_matrix() * inv, Matrix4::identity());

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pub fn to_homogeneous(self) -> Matrix4<T>

Computes the corresponding homogeneous matrix.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
let expected = Matrix4::new(
    2.0 / 9.0, 0.0,        0.0,         -11.0 / 9.0,
    0.0,       2.0 / 18.0, 0.0,         -22.0 / 18.0,
    0.0,       0.0,       -2.0 / 999.9, -1000.1 / 999.9,
    0.0,       0.0,        0.0,         1.0
);
assert_eq!(proj.to_homogeneous(), expected);

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pub fn as_matrix(&self) -> &Matrix4<T>

A reference to the underlying homogeneous transformation matrix.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
let expected = Matrix4::new(
    2.0 / 9.0, 0.0,        0.0,         -11.0 / 9.0,
    0.0,       2.0 / 18.0, 0.0,         -22.0 / 18.0,
    0.0,       0.0,       -2.0 / 999.9, -1000.1 / 999.9,
    0.0,       0.0,        0.0,         1.0
);
assert_eq!(*proj.as_matrix(), expected);

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pub fn as_projective(&self) -> &Projective3<T>

A reference to this transformation seen as a Projective3.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
assert_eq!(proj.as_projective().to_homogeneous(), proj.to_homogeneous());

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pub fn to_projective(self) -> Projective3<T>

This transformation seen as a Projective3.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
assert_eq!(proj.to_projective().to_homogeneous(), proj.to_homogeneous());

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pub fn into_inner(self) -> Matrix4<T>

Retrieves the underlying homogeneous matrix.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
let expected = Matrix4::new(
    2.0 / 9.0, 0.0,        0.0,         -11.0 / 9.0,
    0.0,       2.0 / 18.0, 0.0,         -22.0 / 18.0,
    0.0,       0.0,       -2.0 / 999.9, -1000.1 / 999.9,
    0.0,       0.0,        0.0,         1.0
);
assert_eq!(proj.into_inner(), expected);

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pub fn unwrap(self) -> Matrix4<T>

👎Deprecated: use .into_inner() instead

Retrieves the underlying homogeneous matrix. Deprecated: Use Orthographic3::into_inner instead.

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pub fn left(&self) -> T

The left offset of the view cuboid.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
assert_relative_eq!(proj.left(), 1.0, epsilon = 1.0e-6);

let proj = Orthographic3::new(10.0, 1.0, 20.0, 2.0, 1000.0, 0.1);
assert_relative_eq!(proj.left(), 10.0, epsilon = 1.0e-6);

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pub fn right(&self) -> T

The right offset of the view cuboid.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
assert_relative_eq!(proj.right(), 10.0, epsilon = 1.0e-6);

let proj = Orthographic3::new(10.0, 1.0, 20.0, 2.0, 1000.0, 0.1);
assert_relative_eq!(proj.right(), 1.0, epsilon = 1.0e-6);

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pub fn bottom(&self) -> T

The bottom offset of the view cuboid.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
assert_relative_eq!(proj.bottom(), 2.0, epsilon = 1.0e-6);

let proj = Orthographic3::new(10.0, 1.0, 20.0, 2.0, 1000.0, 0.1);
assert_relative_eq!(proj.bottom(), 20.0, epsilon = 1.0e-6);

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pub fn top(&self) -> T

The top offset of the view cuboid.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
assert_relative_eq!(proj.top(), 20.0, epsilon = 1.0e-6);

let proj = Orthographic3::new(10.0, 1.0, 20.0, 2.0, 1000.0, 0.1);
assert_relative_eq!(proj.top(), 2.0, epsilon = 1.0e-6);

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pub fn znear(&self) -> T

The near plane offset of the view cuboid.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
assert_relative_eq!(proj.znear(), 0.1, epsilon = 1.0e-6);

let proj = Orthographic3::new(10.0, 1.0, 20.0, 2.0, 1000.0, 0.1);
assert_relative_eq!(proj.znear(), 1000.0, epsilon = 1.0e-6);

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pub fn zfar(&self) -> T

The far plane offset of the view cuboid.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
assert_relative_eq!(proj.zfar(), 1000.0, epsilon = 1.0e-6);

let proj = Orthographic3::new(10.0, 1.0, 20.0, 2.0, 1000.0, 0.1);
assert_relative_eq!(proj.zfar(), 0.1, epsilon = 1.0e-6);

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pub fn project_point(&self, p: &Point3<T>) -> Point3<T>

Projects a point. Faster than matrix multiplication.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);

let p1 = Point3::new(1.0, 2.0, -0.1);
let p2 = Point3::new(1.0, 2.0, -1000.0);
let p3 = Point3::new(1.0, 20.0, -0.1);
let p4 = Point3::new(1.0, 20.0, -1000.0);
let p5 = Point3::new(10.0, 2.0, -0.1);
let p6 = Point3::new(10.0, 2.0, -1000.0);
let p7 = Point3::new(10.0, 20.0, -0.1);
let p8 = Point3::new(10.0, 20.0, -1000.0);

assert_relative_eq!(proj.project_point(&p1), Point3::new(-1.0, -1.0, -1.0));
assert_relative_eq!(proj.project_point(&p2), Point3::new(-1.0, -1.0,  1.0));
assert_relative_eq!(proj.project_point(&p3), Point3::new(-1.0,  1.0, -1.0));
assert_relative_eq!(proj.project_point(&p4), Point3::new(-1.0,  1.0,  1.0));
assert_relative_eq!(proj.project_point(&p5), Point3::new( 1.0, -1.0, -1.0));
assert_relative_eq!(proj.project_point(&p6), Point3::new( 1.0, -1.0,  1.0));
assert_relative_eq!(proj.project_point(&p7), Point3::new( 1.0,  1.0, -1.0));
assert_relative_eq!(proj.project_point(&p8), Point3::new( 1.0,  1.0,  1.0));

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pub fn unproject_point(&self, p: &Point3<T>) -> Point3<T>

Un-projects a point. Faster than multiplication by the underlying matrix inverse.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);

let p1 = Point3::new(-1.0, -1.0, -1.0);
let p2 = Point3::new(-1.0, -1.0,  1.0);
let p3 = Point3::new(-1.0,  1.0, -1.0);
let p4 = Point3::new(-1.0,  1.0,  1.0);
let p5 = Point3::new( 1.0, -1.0, -1.0);
let p6 = Point3::new( 1.0, -1.0,  1.0);
let p7 = Point3::new( 1.0,  1.0, -1.0);
let p8 = Point3::new( 1.0,  1.0,  1.0);

assert_relative_eq!(proj.unproject_point(&p1), Point3::new(1.0, 2.0, -0.1), epsilon = 1.0e-6);
assert_relative_eq!(proj.unproject_point(&p2), Point3::new(1.0, 2.0, -1000.0), epsilon = 1.0e-6);
assert_relative_eq!(proj.unproject_point(&p3), Point3::new(1.0, 20.0, -0.1), epsilon = 1.0e-6);
assert_relative_eq!(proj.unproject_point(&p4), Point3::new(1.0, 20.0, -1000.0), epsilon = 1.0e-6);
assert_relative_eq!(proj.unproject_point(&p5), Point3::new(10.0, 2.0, -0.1), epsilon = 1.0e-6);
assert_relative_eq!(proj.unproject_point(&p6), Point3::new(10.0, 2.0, -1000.0), epsilon = 1.0e-6);
assert_relative_eq!(proj.unproject_point(&p7), Point3::new(10.0, 20.0, -0.1), epsilon = 1.0e-6);
assert_relative_eq!(proj.unproject_point(&p8), Point3::new(10.0, 20.0, -1000.0), epsilon = 1.0e-6);

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pub fn project_vector<SB>(&self, p: &Vector<T, U3, SB>) -> Vector3<T>where
SB: Storage<T, U3>,

Projects a vector. Faster than matrix multiplication.

Vectors are not affected by the translation part of the projection.

Example

let proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);

let v1 = Vector3::x();
let v2 = Vector3::y();
let v3 = Vector3::z();

assert_relative_eq!(proj.project_vector(&v1), Vector3::x() * 2.0 / 9.0);
assert_relative_eq!(proj.project_vector(&v2), Vector3::y() * 2.0 / 18.0);
assert_relative_eq!(proj.project_vector(&v3), Vector3::z() * -2.0 / 999.9);

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pub fn set_left(&mut self, left: T)

Sets the left offset of the view cuboid.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_left(2.0);
assert_relative_eq!(proj.left(), 2.0, epsilon = 1.0e-6);

// It is OK to set a left offset greater than the current right offset.
proj.set_left(20.0);
assert_relative_eq!(proj.left(), 20.0, epsilon = 1.0e-6);

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pub fn set_right(&mut self, right: T)

Sets the right offset of the view cuboid.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_right(15.0);
assert_relative_eq!(proj.right(), 15.0, epsilon = 1.0e-6);

// It is OK to set a right offset smaller than the current left offset.
proj.set_right(-3.0);
assert_relative_eq!(proj.right(), -3.0, epsilon = 1.0e-6);

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pub fn set_bottom(&mut self, bottom: T)

Sets the bottom offset of the view cuboid.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_bottom(8.0);
assert_relative_eq!(proj.bottom(), 8.0, epsilon = 1.0e-6);

// It is OK to set a bottom offset greater than the current top offset.
proj.set_bottom(50.0);
assert_relative_eq!(proj.bottom(), 50.0, epsilon = 1.0e-6);

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pub fn set_top(&mut self, top: T)

Sets the top offset of the view cuboid.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_top(15.0);
assert_relative_eq!(proj.top(), 15.0, epsilon = 1.0e-6);

// It is OK to set a top offset smaller than the current bottom offset.
proj.set_top(-3.0);
assert_relative_eq!(proj.top(), -3.0, epsilon = 1.0e-6);

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pub fn set_znear(&mut self, znear: T)

Sets the near plane offset of the view cuboid.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_znear(8.0);
assert_relative_eq!(proj.znear(), 8.0, epsilon = 1.0e-6);

// It is OK to set a znear greater than the current zfar.
proj.set_znear(5000.0);
assert_relative_eq!(proj.znear(), 5000.0, epsilon = 1.0e-6);

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pub fn set_zfar(&mut self, zfar: T)

Sets the far plane offset of the view cuboid.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_zfar(15.0);
assert_relative_eq!(proj.zfar(), 15.0, epsilon = 1.0e-6);

// It is OK to set a zfar smaller than the current znear.
proj.set_zfar(-3.0);
assert_relative_eq!(proj.zfar(), -3.0, epsilon = 1.0e-6);

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pub fn set_left_and_right(&mut self, left: T, right: T)

Sets the view cuboid offsets along the x axis.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_left_and_right(7.0, 70.0);
assert_relative_eq!(proj.left(), 7.0, epsilon = 1.0e-6);
assert_relative_eq!(proj.right(), 70.0, epsilon = 1.0e-6);

// It is also OK to have `left > right`.
proj.set_left_and_right(70.0, 7.0);
assert_relative_eq!(proj.left(), 70.0, epsilon = 1.0e-6);
assert_relative_eq!(proj.right(), 7.0, epsilon = 1.0e-6);

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pub fn set_bottom_and_top(&mut self, bottom: T, top: T)

Sets the view cuboid offsets along the y axis.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_bottom_and_top(7.0, 70.0);
assert_relative_eq!(proj.bottom(), 7.0, epsilon = 1.0e-6);
assert_relative_eq!(proj.top(), 70.0, epsilon = 1.0e-6);

// It is also OK to have `bottom > top`.
proj.set_bottom_and_top(70.0, 7.0);
assert_relative_eq!(proj.bottom(), 70.0, epsilon = 1.0e-6);
assert_relative_eq!(proj.top(), 7.0, epsilon = 1.0e-6);

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pub fn set_znear_and_zfar(&mut self, znear: T, zfar: T)

Sets the near and far plane offsets of the view cuboid.

Example

let mut proj = Orthographic3::new(1.0, 10.0, 2.0, 20.0, 0.1, 1000.0);
proj.set_znear_and_zfar(50.0, 5000.0);
assert_relative_eq!(proj.znear(), 50.0, epsilon = 1.0e-6);
assert_relative_eq!(proj.zfar(), 5000.0, epsilon = 1.0e-6);

// It is also OK to have `znear > zfar`.
proj.set_znear_and_zfar(5000.0, 0.5);
assert_relative_eq!(proj.znear(), 5000.0, epsilon = 1.0e-6);
assert_relative_eq!(proj.zfar(), 0.5, epsilon = 1.0e-6);

Trait Implementations

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impl<T: RealField + Arbitrary> Arbitrary for Orthographic3<T>where
Matrix4<T>: Send,

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fn arbitrary(g: &mut Gen) -> Self

Return an arbitrary value. Read more

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fn shrink(&self) -> Box<dyn Iterator<Item = Self> + 'static, Global>

Return an iterator of values that are smaller than itself. Read more

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impl<T> Archive for Orthographic3<T>where
Matrix4<T>: Archive,

type Archived = ArchivedOrthographic3<T>

The archived representation of this type. Read more

type Resolver = Orthographic3Resolver<T>

The resolver for this type. It must contain all the additional information from serializing needed to make the archived type from the normal type. Read more

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unsafe fn resolve(
    &self,
    pos: usize,
    resolver: Self::Resolver,
    out: *mut Self::Archived
)

Creates the archived version of this value at the given position and writes it to the given output. Read more

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impl<C: ?Sized, T> CheckBytes<C> for Orthographic3<T>where
Matrix4<T>: CheckBytes<__C>,

type Error = StructCheckError

The error that may result from checking the type.

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unsafe fn check_bytes<'bytecheck>(
value: *const Self,
context: &mut C
) -> Result<&'__bytecheck Self, StructCheckError>

Checks whether the given pointer points to a valid value within the given context. Read more

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impl<T: Clone> Clone for Orthographic3<T>

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fn clone(&self) -> Orthographic3<T>

Returns a copy of the value. Read more

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

Performs copy-assignment from source. Read more

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impl<T: RealField> Debug for Orthographic3<T>

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

Formats the value using the given formatter. Read more

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impl<'a, T: RealField + Deserialize<'a>> Deserialize<'a> for Orthographic3<T>

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fn deserialize<Des>(deserializer: Des) -> Result<Self, Des::Error>where
Des: Deserializer<'a>,

Deserialize this value from the given Serde deserializer. Read more

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impl<D: Fallible + ?Sized, T> Deserialize<Orthographic3<T>, D> for Archived<Orthographic3<T>>where
Matrix4<T>: Archive,
Archived<Matrix4<T>>: Deserialize<Matrix4<T>, __D>,

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fn deserialize(
&self,
deserializer: &mut D
) -> Result<Orthographic3<T>, D::Error>

Deserializes using the given deserializer

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impl<T: RealField> Distribution<Orthographic3<T>> for Standardwhere
Standard: Distribution<T>,

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fn sample<R: Rng + ?Sized>(&self, r: &mut R) -> Orthographic3<T>

Generate an arbitrary random variate for testing purposes.

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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where
R: Rng,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more

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fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where
F: Fn(T) -> S,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more

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impl<T: RealField> From<Orthographic3<T>> for Matrix4<T>

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fn from(orth: Orthographic3<T>) -> Self

Converts to this type from the input type.

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impl<T: RealField> PartialEq<Orthographic3<T>> for Orthographic3<T>

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fn eq(&self, right: &Self) -> bool

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

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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. Read more

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impl<S: Fallible + ?Sized, T> Serialize<S> for Orthographic3<T>where
Matrix4<T>: Serialize<__S>,

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fn serialize(&self, serializer: &mut S) -> Result<Self::Resolver, S::Error>

Writes the dependencies for the object and returns a resolver that can create the archived type. Read more

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impl<T: RealField + Serialize> Serialize for Orthographic3<T>

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

Serialize this value into the given Serde serializer. Read more

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impl<T> Zeroable for Orthographic3<T>where
T: RealField + Zeroable,
Matrix4<T>: Zeroable,

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impl<T> Pod for Orthographic3<T>where
T: RealField + Pod,
Matrix4<T>: Pod,

Auto Trait Implementations

impl<T> RefUnwindSafe for Orthographic3<T>where
T: RefUnwindSafe,

impl<T> Send for Orthographic3<T>where
T: Send,

impl<T> Sync for Orthographic3<T>where
T: Sync,

impl<T> Unpin for Orthographic3<T>where
T: Unpin,

impl<T> UnwindSafe for Orthographic3<T>where
T: UnwindSafe,

Blanket Implementations

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impl<T> Any for Twhere
T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> ArchivePointee for T

type ArchivedMetadata = ()

The archived version of the pointer metadata for this type.

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fn pointer_metadata(
&<T as ArchivePointee>::ArchivedMetadata
) -> <T as Pointee>::Metadata

Converts some archived metadata to the pointer metadata for itself.

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impl<T> ArchiveUnsized for Twhere
T: Archive,

type Archived = <T as Archive>::Archived

The archived counterpart of this type. Unlike Archive, it may be unsized. Read more

type MetadataResolver = ()

The resolver for the metadata of this type. Read more

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unsafe fn resolve_metadata(
 &self,
 usize,
 <T as ArchiveUnsized>::MetadataResolver,
 *mut <<T as ArchiveUnsized>::Archived as ArchivePointee>::ArchivedMetadata
)

Creates the archived version of the metadata for this value at the given position and writes it to the given output. Read more

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unsafe fn resolve_unsized(
 &self,
 from: usize,
 to: usize,
 resolver: Self::MetadataResolver,
 out: *mut RelPtr<Self::Archived, <isize as Archive>::Archived>
)

Resolves a relative pointer to this value with the given from and to and writes it to the given output. Read more

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impl<T> Borrow<T> for Twhere
T: ?Sized,

const: unstable · source

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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impl<T> BorrowMut<T> for Twhere
T: ?Sized,

const: unstable · source

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

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impl<T> CheckedBitPattern for Twhere
T: AnyBitPattern,

type Bits = T

Self must have the same layout as the specified Bits except for the possible invalid bit patterns being checked during is_valid_bit_pattern. Read more

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fn is_valid_bit_pattern(_bits: &T) -> bool

If this function returns true, then it must be valid to reinterpret bits as &Self.

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impl<F, W, T, D> Deserialize<With<T, W>, D> for Fwhere
 W: DeserializeWith<F, T, D>,
 D: Fallible + ?Sized,
 F: ?Sized,

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fn deserialize(
&self,
deserializer: &mut D
) -> Result<With<T, W>, <D as Fallible>::Error>

Deserializes using the given deserializer

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into for Twhere
U: From<T>,

const: unstable · source

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T> Pointee for T

type Metadata = ()

The type for metadata in pointers and references to Self.

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impl<T> Same<T> for T

type Output = T

Should always be Self

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impl<T, S> SerializeUnsized<S> for Twhere
T: Serialize<S>,
S: Serializer + ?Sized,

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fn serialize_unsized(
&self,
serializer: &mut S
) -> Result<usize, <S as Fallible>::Error>

Writes the object and returns the position of the archived type.

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fn serialize_metadata(&self, &mut S) -> Result<(), <S as Fallible>::Error>

Serializes the metadata for the given type.

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impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

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impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

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unsafe fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

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impl<T> ToOwned for Twhere
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more

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impl<T, U> TryFrom for Twhere
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for Twhere
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

impl<V, T> VZip<V> for Twhere
V: MultiLane<T>,

fn vzip(self) -> V

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impl<T> AnyBitPattern for Twhere
T: Pod,

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impl<T> DeserializeOwned for Twhere
T: for<'de> Deserialize<'de>,

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Struct nalgebra::geometry::Orthographic3

Implementations

impl<T> Orthographic3<T>

pub const fn from_matrix_unchecked(matrix: Matrix4<T>) -> Self

impl<T: RealField> Orthographic3<T>

pub fn new(left: T, right: T, bottom: T, top: T, znear: T, zfar: T) -> Self

pub fn from_fov(aspect: T, vfov: T, znear: T, zfar: T) -> Self

pub fn inverse(&self) -> Matrix4<T>

pub fn to_homogeneous(self) -> Matrix4<T>

pub fn as_matrix(&self) -> &Matrix4<T>

pub fn as_projective(&self) -> &Projective3<T>

pub fn to_projective(self) -> Projective3<T>

pub fn into_inner(self) -> Matrix4<T>

pub fn unwrap(self) -> Matrix4<T>

pub fn left(&self) -> T

pub fn right(&self) -> T

pub fn bottom(&self) -> T

pub fn top(&self) -> T

pub fn znear(&self) -> T

pub fn zfar(&self) -> T

pub fn project_point(&self, p: &Point3<T>) -> Point3<T>

pub fn unproject_point(&self, p: &Point3<T>) -> Point3<T>

pub fn project_vector<SB>(&self, p: &Vector<T, U3, SB>) -> Vector3<T>where SB: Storage<T, U3>,

pub fn set_left(&mut self, left: T)

pub fn set_right(&mut self, right: T)

pub fn set_bottom(&mut self, bottom: T)

pub fn set_top(&mut self, top: T)

pub fn set_znear(&mut self, znear: T)

pub fn set_zfar(&mut self, zfar: T)

pub fn set_left_and_right(&mut self, left: T, right: T)

pub fn set_bottom_and_top(&mut self, bottom: T, top: T)

pub fn set_znear_and_zfar(&mut self, znear: T, zfar: T)

Trait Implementations

impl<T: RealField + Arbitrary> Arbitrary for Orthographic3<T>where Matrix4<T>: Send,

fn arbitrary(g: &mut Gen) -> Self

fn shrink(&self) -> Box<dyn Iterator<Item = Self> + 'static, Global>

impl<T> Archive for Orthographic3<T>where Matrix4<T>: Archive,

type Archived = ArchivedOrthographic3<T>

type Resolver = Orthographic3Resolver<T>

unsafe fn resolve( &self, pos: usize, resolver: Self::Resolver, out: *mut Self::Archived)

impl<__C: ?Sized, T> CheckBytes<__C> for Orthographic3<T>where Matrix4<T>: CheckBytes<__C>,

type Error = StructCheckError

unsafe fn check_bytes<'__bytecheck>( value: *const Self, context: &mut __C) -> Result<&'__bytecheck Self, StructCheckError>

impl<T: Clone> Clone for Orthographic3<T>

fn clone(&self) -> Orthographic3<T>

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

impl<T: RealField> Debug for Orthographic3<T>

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

impl<'a, T: RealField + Deserialize<'a>> Deserialize<'a> for Orthographic3<T>

fn deserialize<Des>(deserializer: Des) -> Result<Self, Des::Error>where Des: Deserializer<'a>,

impl<__D: Fallible + ?Sized, T> Deserialize<Orthographic3<T>, __D> for Archived<Orthographic3<T>>where Matrix4<T>: Archive, Archived<Matrix4<T>>: Deserialize<Matrix4<T>, __D>,

fn deserialize( &self, deserializer: &mut __D) -> Result<Orthographic3<T>, __D::Error>

impl<T: RealField> Distribution<Orthographic3<T>> for Standardwhere Standard: Distribution<T>,

fn sample<R: Rng + ?Sized>(&self, r: &mut R) -> Orthographic3<T>

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where R: Rng,

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where F: Fn(T) -> S,

impl<T: RealField> From<Orthographic3<T>> for Matrix4<T>

fn from(orth: Orthographic3<T>) -> Self

impl<T: RealField> PartialEq<Orthographic3<T>> for Orthographic3<T>

fn eq(&self, right: &Self) -> bool

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

impl<__S: Fallible + ?Sized, T> Serialize<__S> for Orthographic3<T>where Matrix4<T>: Serialize<__S>,

fn serialize(&self, serializer: &mut __S) -> Result<Self::Resolver, __S::Error>

impl<T: RealField + Serialize> Serialize for Orthographic3<T>

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

impl<T> Zeroable for Orthographic3<T>where T: RealField + Zeroable, Matrix4<T>: Zeroable,

fn zeroed() -> Self

impl<T: Copy> Copy for Orthographic3<T>

impl<T: DeviceCopy> DeviceCopy for Orthographic3<T>

impl<T> Pod for Orthographic3<T>where T: RealField + Pod, Matrix4<T>: Pod,

Auto Trait Implementations

impl<T> RefUnwindSafe for Orthographic3<T>where T: RefUnwindSafe,

impl<T> Send for Orthographic3<T>where T: Send,

impl<T> Sync for Orthographic3<T>where T: Sync,

impl<T> Unpin for Orthographic3<T>where T: Unpin,

impl<T> UnwindSafe for Orthographic3<T>where T: UnwindSafe,

Blanket Implementations

impl<T> Any for Twhere T: 'static + ?Sized,

fn type_id(&self) -> TypeId

impl<T> ArchivePointee for T

pub fn project_vector<SB>(&self, p: &Vector<T, U3, SB>) -> Vector3<T>where
SB: Storage<T, U3>,

impl<T: RealField + Arbitrary> Arbitrary for Orthographic3<T>where
Matrix4<T>: Send,

impl<T> Archive for Orthographic3<T>where
Matrix4<T>: Archive,

unsafe fn resolve(
&self,
pos: usize,
resolver: Self::Resolver,
out: *mut Self::Archived
)

impl<C: ?Sized, T> CheckBytes<C> for Orthographic3<T>where
Matrix4<T>: CheckBytes<__C>,

unsafe fn check_bytes<'bytecheck>(
value: *const Self,
context: &mut C
) -> Result<&'__bytecheck Self, StructCheckError>

fn deserialize<Des>(deserializer: Des) -> Result<Self, Des::Error>where
Des: Deserializer<'a>,

impl<D: Fallible + ?Sized, T> Deserialize<Orthographic3<T>, D> for Archived<Orthographic3<T>>where
Matrix4<T>: Archive,
Archived<Matrix4<T>>: Deserialize<Matrix4<T>, __D>,

fn deserialize(
&self,
deserializer: &mut D
) -> Result<Orthographic3<T>, D::Error>

impl<T: RealField> Distribution<Orthographic3<T>> for Standardwhere
Standard: Distribution<T>,

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where
R: Rng,

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where
F: Fn(T) -> S,

impl<S: Fallible + ?Sized, T> Serialize<S> for Orthographic3<T>where
Matrix4<T>: Serialize<__S>,

fn serialize(&self, serializer: &mut S) -> Result<Self::Resolver, S::Error>

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

impl<T> Zeroable for Orthographic3<T>where
T: RealField + Zeroable,
Matrix4<T>: Zeroable,

impl<T> Pod for Orthographic3<T>where
T: RealField + Pod,
Matrix4<T>: Pod,

impl<T> RefUnwindSafe for Orthographic3<T>where
T: RefUnwindSafe,

impl<T> Send for Orthographic3<T>where
T: Send,

impl<T> Sync for Orthographic3<T>where
T: Sync,

impl<T> Unpin for Orthographic3<T>where
T: Unpin,

impl<T> UnwindSafe for Orthographic3<T>where
T: UnwindSafe,

impl<T> Any for Twhere
T: 'static + ?Sized,

fn pointer_metadata(
&<T as ArchivePointee>::ArchivedMetadata
) -> <T as Pointee>::Metadata

impl<T> ArchiveUnsized for Twhere
T: Archive,

unsafe fn resolve_metadata(
&self,
usize,
<T as ArchiveUnsized>::MetadataResolver,
*mut <<T as ArchiveUnsized>::Archived as ArchivePointee>::ArchivedMetadata
)

unsafe fn resolve_unsized(
&self,
from: usize,
to: usize,
resolver: Self::MetadataResolver,
out: *mut RelPtr<Self::Archived, <isize as Archive>::Archived>
)

impl<T> Borrow<T> for Twhere
T: ?Sized,

impl<T> BorrowMut<T> for Twhere
T: ?Sized,

impl<T> CheckedBitPattern for Twhere
T: AnyBitPattern,

impl<F, W, T, D> Deserialize<With<T, W>, D> for Fwhere
W: DeserializeWith<F, T, D>,
D: Fallible + ?Sized,
F: ?Sized,

fn deserialize(
&self,
deserializer: &mut D
) -> Result<With<T, W>, <D as Fallible>::Error>

impl<T, U> Into<U> for Twhere
U: From<T>,

impl<T, S> SerializeUnsized<S> for Twhere
T: Serialize<S>,
S: Serializer + ?Sized,

fn serialize_unsized(
&self,
serializer: &mut S
) -> Result<usize, <S as Fallible>::Error>

impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,

impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,