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AffineGeometryLinearization

eqiora::meshing

Struct AffineGeometryLinearization 

pub struct AffineGeometryLinearization { /* private fields */ }
Description

One directional derivative of an affine reference-to-physical map.

The primal map and its tangent share one fixed reference cell and physical coordinate space. This is the geometry-level action consumed by local operator differentiation; it does not assign design meaning to the direction that produced it.

Implementations§

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impl AffineGeometryLinearization

Signature links:§AffineGeometryLinearization

pub fn stationary( map: AffineGeometryMap, ) -> Result<AffineGeometryLinearization, Diagnostic>

Signature links:stationaryAffineGeometryMapResultAffineGeometryLinearizationDiagnostic

Lift a primal map into a zero geometry direction.

§Errors

Preserves affine tangent validation.

pub fn new( map: AffineGeometryMap, origin_tangent: Vec<f64>, jacobian_tangent: Vec<f64>, ) -> Result<AffineGeometryLinearization, Diagnostic>

Signature links:newAffineGeometryMapVecf64Vecf64ResultAffineGeometryLinearizationDiagnostic

Construct a finite tangent over one accepted affine map.

§Errors

Returns EQ0803 for incompatible tangent shapes or non-finite data.

pub const fn map(&self) -> &AffineGeometryMap

Signature links:mapAffineGeometryMap

Accepted primal affine map.

pub fn origin_tangent(&self) -> &[f64]

Signature links:origin_tangentf64

Tangent of the physical origin x(0).

pub fn jacobian_tangent(&self) -> &[f64]

Signature links:jacobian_tangentf64

Row-major tangent of the geometry Jacobian.

pub const fn measure_scale_tangent(&self) -> f64

Signature links:measure_scale_tangentf64

JVP of physical measure divided by reference measure.

pub fn inverse_jacobian_tangent(&self) -> Result<Vec<f64>, Diagnostic>

Signature links:inverse_jacobian_tangentResultVecf64Diagnostic

JVP of the inverse Jacobian of a square affine map.

§Errors

Returns EQ0803 unless the primal map is square and the computed inverse action is finite.

pub fn map_point_jvp( &self, reference: &[f64], physical: &mut [f64], physical_tangent: &mut [f64], ) -> Result<(), Diagnostic>

Signature links:map_point_jvpf64f64f64Result()Diagnostic

Evaluate physical coordinates and their geometry JVP at one reference point.

§Errors

Preserves the primal map validation and returns EQ0803 for an incompatible tangent output or non-finite tangent.

Trait Implementations§

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impl Clone for AffineGeometryLinearization

Signature links:§CloneAffineGeometryLinearization
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fn clone(&self) -> AffineGeometryLinearization

Signature links:§cloneAffineGeometryLinearization
Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Signature links:unstableSource§clone_from
Performs copy-assignment from source. Read more
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impl Debug for AffineGeometryLinearization

Signature links:§DebugAffineGeometryLinearization
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fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Signature links:§fmtFormatterResult()Error
Formats the value using the given formatter. Read more
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impl PartialEq for AffineGeometryLinearization

Signature links:§PartialEqAffineGeometryLinearization
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fn eq(&self, other: &AffineGeometryLinearization) -> bool

Signature links:§eqAffineGeometryLinearizationbool
Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Signature links:unstableSource§ne&Rhsbool
Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl StructuralPartialEq for AffineGeometryLinearization

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