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SurfaceCurvature

Struct SurfaceCurvature 

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pub struct SurfaceCurvature {
    pub max: f64,
    pub min: f64,
    pub max_direction: Direction,
    pub min_direction: Direction,
    pub normal: Direction,
}
Expand description

A surface’s curvature at one place: the principal curvatures and the directions they are taken in, with the mean and Gaussian curvatures they combine to.

What curvature display, zebra analysis and a fillet’s seat all ask. The principal directions are unit tangents in space, perpendicular to each other; at an umbilic (where every direction curves the same, as everywhere on a sphere or a plane) they are any perpendicular pair in the tangent plane, and SurfaceCurvature::is_umbilic says so.

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§max: f64

The largest normal curvature.

§min: f64

The smallest normal curvature.

§max_direction: Direction

The tangent direction of the largest.

§min_direction: Direction

The tangent direction of the smallest.

§normal: Direction

The unit normal the curvatures are signed against: positive where the surface curves towards it.

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impl SurfaceCurvature

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pub fn mean(&self) -> f64

The mean curvature, (max + min) / 2.

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pub fn gaussian(&self) -> f64

The Gaussian curvature, max · min.

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pub fn is_umbilic(&self, tol: Tolerances) -> bool

Whether the two principal curvatures are equal to within tol’s angular resolution of their size, so no direction is principal above another.

Trait Implementations§

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impl Clone for SurfaceCurvature

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fn clone(&self) -> SurfaceCurvature

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 SurfaceCurvature

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impl Debug for SurfaceCurvature

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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 SurfaceCurvature

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

Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

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

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

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 = Infallible

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

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.