Jacobian2x2

Struct Jacobian2x2 

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pub struct Jacobian2x2<T: Float> {
    pub m11: T,
    pub m12: T,
    pub m21: T,
    pub m22: T,
}
Expand description

2×2 Jacobian matrix for a bilinear quad with nodes [A,B,C,D] at reference coords (-1,-1), (1,-1), (1,1), (-1,1).

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§m11: T

Entry (1,1) of the Jacobian matrix

§m12: T

Entry (1,2) of the Jacobian matrix

§m21: T

Entry (2,1) of the Jacobian matrix

§m22: T

Entry (2,2) of the Jacobian matrix

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impl<T: Float> Jacobian2x2<T>

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pub fn for_quad( xi: T, eta: T, a: Point2<T>, b: Point2<T>, c: Point2<T>, d: Point2<T>, ) -> Self

Compute J(xi,eta) = ∑ Ni,xi * Xi for i=1..4

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pub fn det(self) -> T

Determinant det(J)

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pub fn inverse(self) -> Option<Jacobian2x2<T>>

Inverse J⁻¹

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impl<T: Clone + Float> Clone for Jacobian2x2<T>

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fn clone(&self) -> Jacobian2x2<T>

Returns a duplicate 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: Debug + Float> Debug for Jacobian2x2<T>

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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<T: PartialEq + Float> PartialEq for Jacobian2x2<T>

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fn eq(&self, other: &Jacobian2x2<T>) -> bool

Tests for self and other values to be equal, and is used by ==.
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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<T: Copy + Float> Copy for Jacobian2x2<T>

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impl<T: Float> StructuralPartialEq for Jacobian2x2<T>

Auto Trait Implementations§

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impl<T> Freeze for Jacobian2x2<T>
where T: Freeze,

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impl<T> RefUnwindSafe for Jacobian2x2<T>
where T: RefUnwindSafe,

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impl<T> Send for Jacobian2x2<T>
where T: Send,

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impl<T> Sync for Jacobian2x2<T>
where T: Sync,

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impl<T> Unpin for Jacobian2x2<T>
where T: Unpin,

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impl<T> UnwindSafe for Jacobian2x2<T>
where T: UnwindSafe,

Blanket 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> 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.