Struct JointNullRotation 

pub struct JointNullRotation {
    pub rotation: Array2<f64>,
    pub joint_nullity: usize,
}

Joint-null absorption rotation, attached to a smooth’s basis when the basis’s joint penalty Σ_k S_k has a non-trivial null space.

The rotation field stores the orthonormal eigenvector matrix Q = [U_range | U_null] of the symmetric joint penalty: the first range_dim = rotation.ncols() - joint_nullity columns span range(Σ_k S_k); the remaining joint_nullity columns span null(Σ_k S_k). After the pipeline applies the rotation, the smooth’s coefficient vector satisfies β = Q · γ, the design becomes X · Q, and each per-block penalty S_k becomes Qᵀ S_k Q, which is guaranteed block-diagonal with a zero (joint_nullity × joint_nullity) tail (because the joint null annihilates every active S_k).

Fields

rotation: Array2<f64>

(p_smooth × p_smooth) orthonormal matrix; range columns first, joint-null columns last.

joint_nullity: usize

Number of columns at the tail of rotation that span the joint null space. Always > 0 when wrapped in Some — the value 0 is encoded as None.

Trait Implementations

impl Clone for JointNullRotation

fn clone(&self) -> JointNullRotation

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for JointNullRotation

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for JointNullRotation

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Serialize for JointNullRotation

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.