LinearSystem

thales::solver

Struct LinearSystem 

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

A linear system of equations in matrix form Ax = b.

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impl LinearSystem

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pub fn from_equations( equations: &[Equation], variables: &[Variable], ) -> SolverResult<Self>

Create a linear system from equations and variables.

Extracts coefficients from linear equations of the form: a₁x₁ + a₂x₂ + … + aₙxₙ = b

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Returns an error if any equation is not linear in the given variables.

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pub fn solve(&self) -> SolverResult<SystemSolution>

Solve the linear system using Gaussian elimination with partial pivoting.

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pub fn solve_cramers(&self) -> SolverResult<SystemSolution>

Solve a 2x2 or 3x3 system using Cramer’s rule.

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impl Clone for LinearSystem

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fn clone(&self) -> LinearSystem

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 Debug for LinearSystem

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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> 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<'src, T> IntoMaybe<'src, T> for T
where T: 'src,

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type Proj<U: 'src> = U

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fn map_maybe<R>( self, _f: impl FnOnce(&'src T) -> &'src R, g: impl FnOnce(T) -> R, ) -> <T as IntoMaybe<'src, T>>::Proj<R>
where R: 'src,

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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<'p, T> Seq<'p, T> for T
where T: Clone,

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type Item<'a> = &'a T where T: 'a

The item yielded by the iterator.
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type Iter<'a> = Once<&'a T> where T: 'a

An iterator over the items within this container, by reference.
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fn seq_iter(&self) -> <T as Seq<'p, T>>::Iter<'_>

Iterate over the elements of the container.
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fn contains(&self, val: &T) -> bool
where T: PartialEq,

Check whether an item is contained within this sequence.
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fn to_maybe_ref<'b>(item: <T as Seq<'p, T>>::Item<'b>) -> Maybe<T, &'p T>
where 'p: 'b,

Convert an item of the sequence into a MaybeRef.
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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
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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.
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impl<T> OrderedSeq<'_, T> for T
where T: Clone,