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QuadraticTerms

Struct QuadraticTerms 

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pub struct QuadraticTerms {
    pub hessian: Vec<(VarId, VarId, f64)>,
    pub linear: Vec<(VarId, f64)>,
    pub constant: f64,
}
Expand description

Quadratic decomposition of an expression: its Hessian, gradient-linear part, and constant.

For a degree-<= 2 polynomial f(x), this holds the exact Taylor data

f(x) = constant + sum_i linear_i * x_i + 0.5 * x' Q x

where Q is the (constant) Hessian. Returned by extract_quadratic.

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§hessian: Vec<(VarId, VarId, f64)>

Lower-triangle Hessian entries (row, col, h) with row >= col, where h = partial^2 f / partial x_row partial x_col. Diagonal entries are the full second derivative, so a * x^2 yields (x, x, 2a). This matches the 0.5 * x' Q x convention used by QP solvers.

§linear: Vec<(VarId, f64)>

Linear coefficients (var, coeff), the gradient of f at the origin.

§constant: f64

The constant term f(0).

Trait Implementations§

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impl Clone for QuadraticTerms

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fn clone(&self) -> QuadraticTerms

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 Debug for QuadraticTerms

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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 Default for QuadraticTerms

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fn default() -> QuadraticTerms

Returns the “default value” for a type. Read more

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> 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.