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AffineGeometryMap

eqiora::meshing

Struct AffineGeometryMap 

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

Runtime-dimensional affine map x(xi) = origin + J xi.

The Jacobian may be rectangular: a d-dimensional reference entity may be embedded in any physical dimension g >= d. Physical measure is scaled by sqrt(det(J^T J)), which reduces to the absolute determinant for square maps without losing embedded curves or surfaces.

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impl AffineGeometryMap

Signature links:§AffineGeometryMap

pub fn new( reference_cell: ReferenceCell, physical_dimension: usize, origin: Vec<f64>, jacobian: Vec<f64>, ) -> Result<AffineGeometryMap, Diagnostic>

Signature links:newReferenceCellusizeVecf64Vecf64ResultAffineGeometryMapDiagnostic

Construct a full-rank affine geometry map.

jacobian is row-major with shape physical_dimension x reference_cell.dimension().

§Errors

Returns EQ0803 for invalid dimensions, shapes, non-finite data, or a rank-deficient Jacobian.

pub fn from_simplex_vertices( vertices: Vec<Vec<f64>>, ) -> Result<AffineGeometryMap, Diagnostic>

Signature links:from_simplex_verticesVecVecf64ResultAffineGeometryMapDiagnostic

Construct the affine map of a simplex from its physical vertices.

Vertices are ordered as the origin vertex followed by the endpoints of the reference coordinate axes. A single vertex constructs a point map.

§Errors

Returns EQ0803 for missing, inconsistent, non-finite, or affinely dependent vertices.

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

Signature links:originf64

Physical origin x(0).

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

Signature links:jacobianf64

Constant row-major Jacobian.

pub const fn measure_scale(&self) -> f64

Signature links:measure_scalef64

Physical measure divided by reference measure.

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

Signature links:inverse_jacobianResultVecf64Diagnostic

Inverse of a square affine Jacobian, in row-major order.

§Errors

Returns EQ0803 for an embedded/rectangular map or a numerical inverse failure. Full-rank square maps accepted by the constructor are expected to succeed.

pub fn square_quality(&self) -> Result<AffineMapQuality, Diagnostic>

Signature links:square_qualityResultAffineMapQualityDiagnostic

Evaluate orientation and mean-ratio quality of a square affine map.

This operation deliberately does not reject negative orientation; mesh-level injectivity policy decides whether an orientation is valid.

§Errors

Returns EQ0803 for a point/embedded map or non-finite quality data.

Trait Implementations§

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impl Clone for AffineGeometryMap

Signature links:§CloneAffineGeometryMap
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fn clone(&self) -> AffineGeometryMap

Signature links:§cloneAffineGeometryMap
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 AffineGeometryMap

Signature links:§DebugAffineGeometryMap
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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 GeometryMap for AffineGeometryMap

Signature links:§GeometryMapAffineGeometryMap
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fn reference_cell(&self) -> ReferenceCell

Signature links:§reference_cellReferenceCell
Reference-cell topology and dimension.
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fn physical_dimension(&self) -> usize

Signature links:§physical_dimensionusize
Dimension of embedding physical coordinates.
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fn map_point( &self, reference: &[f64], physical: &mut [f64], ) -> Result<(), Diagnostic>

Signature links:§map_pointf64f64Result()Diagnostic
Map one reference point to physical coordinates. Read more
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fn jacobian_at( &self, reference: &[f64], jacobian: &mut [f64], ) -> Result<(), Diagnostic>

Signature links:§jacobian_atf64f64Result()Diagnostic
Evaluate the row-major geometry Jacobian. Read more
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impl PartialEq for AffineGeometryMap

Signature links:§PartialEqAffineGeometryMap
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fn eq(&self, other: &AffineGeometryMap) -> bool

Signature links:§eqAffineGeometryMapbool
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 AffineGeometryMap

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