Struct heron::rapier_plugin::rapier2d::prelude::nalgebra::geometry::Scale

source · 
pub struct Scale<T, const D: usize> {
    pub vector: Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>,
}
Expand description

A scale which supports non-uniform scaling.

Fields

vector: Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>

The scale coordinates, i.e., how much is multiplied to a point’s coordinates when it is scaled.

Implementations

Inverts self.

Example
let t = Scale3::new(1.0, 2.0, 3.0);
assert_eq!(t * t.try_inverse().unwrap(), Scale3::identity());
assert_eq!(t.try_inverse().unwrap() * t, Scale3::identity());

// Work in all dimensions.
let t = Scale2::new(1.0, 2.0);
assert_eq!(t * t.try_inverse().unwrap(), Scale2::identity());
assert_eq!(t.try_inverse().unwrap() * t, Scale2::identity());

// Returns None if any coordinate is 0.
let t = Scale2::new(0.0, 2.0);
assert_eq!(t.try_inverse(), None);

Inverts self.

Example

unsafe {
    let t = Scale3::new(1.0, 2.0, 3.0);
    assert_eq!(t * t.inverse_unchecked(), Scale3::identity());
    assert_eq!(t.inverse_unchecked() * t, Scale3::identity());

    // Work in all dimensions.
    let t = Scale2::new(1.0, 2.0);
    assert_eq!(t * t.inverse_unchecked(), Scale2::identity());
    assert_eq!(t.inverse_unchecked() * t, Scale2::identity());
}

Inverts self.

Example
let t = Scale3::new(1.0, 2.0, 3.0);
assert_eq!(t * t.pseudo_inverse(), Scale3::identity());
assert_eq!(t.pseudo_inverse() * t, Scale3::identity());

// Work in all dimensions.
let t = Scale2::new(1.0, 2.0);
assert_eq!(t * t.pseudo_inverse(), Scale2::identity());
assert_eq!(t.pseudo_inverse() * t, Scale2::identity());

// Inverts only non-zero coordinates.
let t = Scale2::new(0.0, 2.0);
assert_eq!(t * t.pseudo_inverse(), Scale2::new(0.0, 1.0));
assert_eq!(t.pseudo_inverse() * t, Scale2::new(0.0, 1.0));

Converts this Scale into its equivalent homogeneous transformation matrix.

Example
let t = Scale3::new(10.0, 20.0, 30.0);
let expected = Matrix4::new(10.0, 0.0, 0.0, 0.0,
                            0.0, 20.0, 0.0, 0.0,
                            0.0, 0.0, 30.0, 0.0,
                            0.0, 0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);

let t = Scale2::new(10.0, 20.0);
let expected = Matrix3::new(10.0, 0.0, 0.0,
                            0.0, 20.0, 0.0,
                            0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);

Inverts self in-place.

Example
let t = Scale3::new(1.0, 2.0, 3.0);
let mut inv_t = Scale3::new(1.0, 2.0, 3.0);
assert!(inv_t.try_inverse_mut());
assert_eq!(t * inv_t, Scale3::identity());
assert_eq!(inv_t * t, Scale3::identity());

// Work in all dimensions.
let t = Scale2::new(1.0, 2.0);
let mut inv_t = Scale2::new(1.0, 2.0);
assert!(inv_t.try_inverse_mut());
assert_eq!(t * inv_t, Scale2::identity());
assert_eq!(inv_t * t, Scale2::identity());

// Does not perform any operation if a coordinate is 0.
let mut t = Scale2::new(0.0, 2.0);
assert!(!t.try_inverse_mut());

Translate the given point.

This is the same as the multiplication self * pt.

Example
let t = Scale3::new(1.0, 2.0, 3.0);
let transformed_point = t.transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(4.0, 10.0, 18.0));

Translate the given point by the inverse of this Scale.

Example
let t = Scale3::new(1.0, 2.0, 3.0);
let transformed_point = t.try_inverse_transform_point(&Point3::new(4.0, 6.0, 6.0)).unwrap();
assert_eq!(transformed_point, Point3::new(4.0, 3.0, 2.0));

// Returns None if the inverse doesn't exist.
let t = Scale3::new(1.0, 0.0, 3.0);
let transformed_point = t.try_inverse_transform_point(&Point3::new(4.0, 6.0, 6.0));
assert_eq!(transformed_point, None);

Creates a new identity scale.

Example
let t = Scale2::identity();
let p = Point2::new(1.0, 2.0);
assert_eq!(t * p, p);

// Works in all dimensions.
let t = Scale3::identity();
let p = Point3::new(1.0, 2.0, 3.0);
assert_eq!(t * p, p);

Cast the components of self to another type.

Example
let tra = Scale2::new(1.0f64, 2.0);
let tra2 = tra.cast::<f32>();
assert_eq!(tra2, Scale2::new(1.0f32, 2.0));

Initializes this Scale from its components.

Example
let t = Scale1::new(1.0);
assert!(t.vector.x == 1.0);

Initializes this Scale from its components.

Example
let t = Scale2::new(1.0, 2.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0);

Initializes this Scale from its components.

Example
let t = Scale3::new(1.0, 2.0, 3.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0);

Initializes this Scale from its components.

Example
let t = Scale4::new(1.0, 2.0, 3.0, 4.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0);

Initializes this Scale from its components.

Example
let t = Scale5::new(1.0, 2.0, 3.0, 4.0, 5.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0 && t.vector.a == 5.0);

Initializes this Scale from its components.

Example
let t = Scale6::new(1.0, 2.0, 3.0, 4.0, 5.0, 6.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0 && t.vector.a == 5.0 && t.vector.b == 6.0);

Trait Implementations

Used for specifying relative comparisons.
The default tolerance to use when testing values that are close together. Read more
A test for equality that uses the absolute difference to compute the approximate equality of two numbers. Read more
The inverse of [AbsDiffEq::abs_diff_eq].
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Formats the value using the given formatter. Read more
The resulting type after dereferencing.
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Mutably dereferences the value.
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Formats the value using the given formatter. Read more
Converts to this type from the input type.
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The resulting type after applying the * operator.
Performs the * operation. Read more
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The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
Performs the *= operation. Read more
Performs the *= operation. Read more
Performs the *= operation. Read more
Returns the multiplicative identity element of Self, 1. Read more
Sets self to the multiplicative identity element of Self, 1.
Returns true if self is equal to the multiplicative identity. Read more
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The default relative tolerance for testing values that are far-apart. Read more
A test for equality that uses a relative comparison if the values are far apart.
The inverse of [RelativeEq::relative_eq].
The type of the elements of each lane of this SIMD value.
Type of the result of comparing two SIMD values like self.
The number of lanes of this SIMD value.
Initializes an SIMD value with each lanes set to val.
Extracts the i-th lane of self. Read more
Extracts the i-th lane of self without bound-checking.
Replaces the i-th lane of self by val. Read more
Replaces the i-th lane of self by val without bound-checking.
Merges self and other depending on the lanes of cond. Read more
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The inclusion map: converts self to the equivalent element of its superset.
Checks if element is actually part of the subset Self (and can be converted to it).
Use with care! Same as self.to_superset but without any property checks. Always succeeds.
The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
The inclusion map: converts self to the equivalent element of its superset.
Checks if element is actually part of the subset Self (and can be converted to it).
Use with care! Same as self.to_superset but without any property checks. Always succeeds.
The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
The inclusion map: converts self to the equivalent element of its superset.
Checks if element is actually part of the subset Self (and can be converted to it).
Use with care! Same as self.to_superset but without any property checks. Always succeeds.
The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
The default ULPs to tolerate when testing values that are far-apart. Read more
A test for equality that uses units in the last place (ULP) if the values are far apart.
The inverse of [UlpsEq::ulps_eq].

Auto Trait Implementations

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