Struct MatrixGridFn1D 

pub struct MatrixGridFn1D<F: SemiflowFloat = f64, const M: usize = 2> {
    pub grid: Grid1D<F>,
    pub values: Vec<F>,
}

Multi-component grid state: u : Grid₁D → ℝᴹ.

Internal layout: row-major flat Vec<F> of length N * M; component i at grid point k is at index k * M + i. Optimal for the per-grid-point matrix-vector multiply in Phase 2 (math §33.3).

Implements State<F> with per-component delegation (math §33.2, ADR-0082).

Generic parameters

• F: SemiflowFloat — scalar float type (default f64).
• M: usize — number of coupled components (const generic).

Fields

grid: Grid1D<F>

Reference grid geometry (immutable after construction).

values: Vec<F>

Row-major flat values: values[k * M + i] = component i at node k.

Implementations

impl<F: SemiflowFloat, const M: usize> MatrixGridFn1D<F, M>

pub fn new(grid: Grid1D<F>) -> Self

Create a zero-valued state on grid.

pub fn from_fn(grid: Grid1D<F>, f: impl FnMut(F) -> [F; M]) -> Self

Create from a pointwise closure f(x) -> [F; M].

pub fn point_view(&self, k: usize) -> [F; M]

Read the M-component vector at grid point k.

pub fn set_point(&mut self, k: usize, val: &[F; M])

Write an M-component vector at grid point k.

Trait Implementations

impl<F: Clone + SemiflowFloat, const M: usize> Clone for MatrixGridFn1D<F, M>

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<F: Debug + SemiflowFloat, const M: usize> Debug for MatrixGridFn1D<F, M>

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

Formats the value using the given formatter.

impl<F: SemiflowFloat, const M: usize> State<F> for MatrixGridFn1D<F, M>

fn len(&self) -> usize

Number of degrees of freedom (grid nodes, graph nodes, etc.).

fn axpy_into(&mut self, alpha: F, src: &Self)

In-place AXPY: self ← self + alpha · src. No allocation.

fn copy_from(&mut self, src: &Self)

Node-wise copy: self ← src. No allocation.

fn zero_into(&mut self)

Zero all nodes: self[i] ← 0 for all i. len() unchanged.

fn norm_sup(&self) -> F

Sup-norm ‖self‖_∞ = max_i |self[i]|.

fn scale_into(&mut self, k: F)

In-place scale: self ← k · self.

fn is_empty(&self) -> bool

Returns true if this state has no nodes.