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Frame2

Struct Frame2 

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pub struct Frame2 { /* private fields */ }
Expand description

An orthonormal frame in a surface’s (u, v) plane, of either handedness. A pcurve placed by a left-handed Frame2 is traversed clockwise in (u, v) — the case of a circle shared by a cap and a wall whose normal opposes the circle’s Z (docs/DATA-MODEL.md §Pcurves).

use arris_math::{Frame2, Handedness, Point2, Vec2};

let f = Frame2::new(Point2::new(1.0, 1.0), Vec2::new(0.0, 2.0), Handedness::Left).unwrap();
assert!(!f.is_right_handed());
assert_eq!(f.y().into_inner(), Vec2::new(1.0, 0.0));
assert_eq!(f.to_world(Point2::new(1.0, 1.0)), Point2::new(2.0, 2.0));

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impl Frame2

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pub fn identity() -> Self

Origin at zero, x along u, y along v: right-handed.

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pub fn new( origin: Point2, x: Vec2, handedness: Handedness, ) -> Result<Self, FrameError>

A frame with x along x (normalised) and y perpendicular to it on the side handedness says. Errors: a non-finite input or a zero x.

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pub fn from_orthonormal( origin: Point2, x: Vec2, y: Vec2, ) -> Result<Self, FrameError>

A frame from axes that already are one — each unit and perpendicular to rounding (crate::RELATIVE_ROUNDING), of either handedness — stored bit for bit; what the native format reads a Frame2 back through. Errors: a non-finite input, or FrameError::NotOrthonormal.

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pub const fn origin(&self) -> Point2

The origin.

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pub fn translated(&self, by: Vec2) -> Frame2

The same axes at the origin moved by by.

use arris_math::{Frame2, Point2, Vec2};

let f = Frame2::identity().translated(Vec2::new(1.0, 2.0));
assert_eq!(f.origin(), Point2::new(1.0, 2.0));
assert_eq!(f.x(), Frame2::identity().x());
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pub const fn x(&self) -> UnitVec2

The x axis.

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pub const fn y(&self) -> UnitVec2

The y axis: x rotated by ±90° according to the handedness.

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pub fn handedness(&self) -> Handedness

Which way y turns from x.

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pub fn is_right_handed(&self) -> bool

true when x × y > 0, the (u, v) plane’s own orientation.

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pub fn to_local(&self, p: Point2) -> Point2

The coordinates of a (u, v) point in this frame.

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pub fn to_world(&self, p: Point2) -> Point2

The (u, v) point at local coordinates p.

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pub fn vec_to_local(&self, v: Vec2) -> Vec2

The components of a (u, v) vector along the axes.

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pub fn vec_to_world(&self, v: Vec2) -> Vec2

The (u, v) vector with local components v.

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impl Clone for Frame2

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fn clone(&self) -> Self

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl Copy for Frame2

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impl Debug for Frame2

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

Formats the value using the given formatter. Read more
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impl PartialEq for Frame2

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

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

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

Inequality operator !=. Read more
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impl StructuralPartialEq for Frame2

Auto Trait Implementations§

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impl<T> Any for T
where 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> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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

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fn into(self) -> U

Calls U::from(self).

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

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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,

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impl<SS, SP> SupersetOf<SS> for SP
where 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<T> ToOwned for T
where T: Clone,

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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<U> for T
where U: Into<T>,

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type Error = !

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, !>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.