Module traits 

Core traits for grid1d.

This module contains all the fundamental trait definitions used throughout the grid1d library. These traits define the core abstractions for domains, coordinates, interval partitions, and point transformations.

Trait Overview

Trait	Purpose	Key Methods
HasDomain1D	Domain access	domain()
HasCoords1D	Coordinate access	coords(), num_points()
BuildIntervalInPartition	Sub-interval construction rules	build_first_interval(), build_last_interval()
IntervalPartition	Main partition interface	interval(), find_interval_id_of_point(), refine()
TransformedPoints1D	Point transformations	points_param_interval(), points_phys_interval()

Trait Hierarchy

IntervalPartition
    ├── HasCoords1D  (coordinate access)
    └── HasDomain1D  (domain access)
            └── Domain1D: BuildIntervalInPartition

BuildIntervalInPartition
    └── IntervalFinitePositiveLengthTrait

TransformedPoints1D (independent)

Usage

Most users will interact with these traits through the concrete types like Grid1D, Grid1DUniform, and Grid1DNonUniform. However, understanding these traits is essential for writing generic code that works with any grid type.

Example: Generic Function Over Any Partition

use grid1d::{IntervalPartition, HasCoords1D, HasDomain1D, scalars::IntervalId};
use grid1d::intervals::IntervalTrait;

fn analyze_partition<P>(partition: &P) -> (usize, usize)
where
    P: IntervalPartition,
{
    let num_points = *partition.num_points().as_ref();
    let num_intervals = *partition.num_intervals().as_ref();
    (num_points, num_intervals)
}

Traits

BuildIntervalInPartition

A trait for building sub-intervals within a partition based on the domain type.

HasCoords1D

A trait for types that contain one-dimensional coordinate data.

HasDomain1D

A trait for types that have an associated one-dimensional domain.

IntervalPartition

A trait for modeling a partition of an interval as a set of adjacent non-overlapping intervals.

TransformedPoints1D

A trait for point transformations between parametric and physical domains.

Type Aliases

TransformedPoints1DArc

Type alias for TransformedPoints1D with Arc coordinate storage for both domains.

TransformedPoints1DBorrowed

Type alias for TransformedPoints1D with borrowed coordinate storage for both domains.

TransformedPoints1DOwned

Type alias for TransformedPoints1D with owned coordinate storage for both domains.

TransformedPoints1DRc

Type alias for TransformedPoints1D with Rc coordinate storage for both domains.