Hexagonal tools lib in rust.

Inspired by this RedBlobGames article and Sander Evers work

This lib allows you to:

• Manipulate hexagon coordinates
• Generate hexagonal maps with custom layouts and orientation

• Generate hexagon meshes (planes or columns)

  I made the choice to use Axial Coordinates for performance and utility reasons, but the [Hex] type has conversion utilities with cubic, doubled and offset coordinates.

  See the hexagonal coordinate systems

  Installation

  Run cargo add hexx in your project or add the following line to your Cargo.toml:

• hexx = "0.10"

  Cargo features

  hexx supports serialization and deserialization of most types using serde, through the serde feature gate. To enable it add the following line to your Cargo.toml:

• hexx = { version = "0.10", features = ["serde"] }

  By default Hex uses rust classic memory layout, if you want to use hexx through the FFI or have Hex be stored without any memory padding, the packed feature will make Hex repr(C). To enable this behaviour add the following line to your Cargo.toml:

• hexx = { version = "0.10", features = ["packed"] }

  hexx supports Bevy Reflection through the bevy_reflect feature. To enable it add the following line to your Cargo.toml:

• hexx = { version = "0.10", features = ["bevy_reflect"] }

  Features

  hexx provides the [Hex] coordinates with:

• Distances

• Neighbors and directions
• Lines
• Ranges
• Rings
• Edges
• Wedges
• Spirals
• Rotation
• Symmetry
• Vector operations
• Conversions to other coordinate systems:
  • Cubic coordinates
  • Offset coordinates
  • Doubled coordinates
  • Hexmod coordinates

• Multiple hex resolution

  Basic usage

```rust use hexx::*;

// Declare points in hexagonal spaces let pointa = hex(10, -5); // Equivalent of Hex::new(10, -5) let pointb = hex(-8, 15); // Find distance between them let dist = pointa.unsigneddistanceto(pointb); // Compute a line between points let line: Vec = pointa.lineto(pointb).collect(); // Compute a ring from point_a containing point_b let ring: Vec = pointa.ring(dist).collect(); // Rotate point_b around point_a by 2 times 60 degrees clockwise let rotated = pointb.rotatecwaround(pointa, 2); // Find the direction between the two points let dira = pointa.maindirectionto(pointb); let dirb = pointb.maindirectionto(pointa); assert!(dira == -dirb); // Compute a wedge from point_a to point_b let wedge = pointa.wedgeto(point_b); // Get the average value of the wedge let avg = wedge.average(); ```

## Layout usage

[HexLayout] is the bridge between your world/screen/pixel coordinate system and the hexagonal coordinates system.

```rust use hexx::*;

// Define your layout let layout = HexLayout { hexsize: Vec2::new(1.0, 1.0), orientation: HexOrientation::Flat, ..Default::default() }; // Get the hex coordinate at the world position world_pos. let worldpos = Vec2::new(53.52, 189.28); let point = layout.worldpostohex(worldpos); // Get the world position of point let point = hex(123, 45); let worldpos = layout.hextoworldpos(point); ```

## Wrapping

[HexBounds] defines a bounding hexagon around a center coordinate. It can be used for boundary and interesection checks but also for wrapping coordinates. Coordinate wrapping transform a point outside of the bounds to a point inside. This allows for seamless or repeating wraparound maps.

```rust use hexx::*;

let center = hex(23, -45); let radius = 5; let bounds = HexBounds::new(center, radius); let outsidecoord = hex(12345, 98765); assert!(!bounds.isinbounds(outsidecoord)); let wrappedcoord = bounds.wrap(outsidecoord); assert!(bounds.isinbounds(wrapped_coord)); ```

## Resolutions and chunks

[Hex] support multi-resolution coordinates. In practice this means that you may convert a coordinate to a different resolution: - To a lower resolution, meaning retrieving a parent coordinate - to a higher resolution, meaning retrieving the center child coordinate

Resolutions are abstract, the only useful information is the resolution radius.

For example, if you use a big grid, with a radius of a 100, you might want to split that grid evenly in larger hexagons containing a 10 radius of coordinates and maybe do operations locally inside of these chunks.

So instead of using a big range directly:

```rust use hexx::*;

const MAP_RADIUS: u32 = 100;

// Our big grid with hundreds of hexagons let biggrid = Hex::ZERO.range(MAPRADIUS); ```

You may define a smaller grid you will then divide to a higher resolution

```rust use hexx::*;

const CHUNKRADIUS: u32 = 10; const MAPRADIUS: u32 = 20;

let chunks = Hex::ZERO.range(MAPRADIUS); for chunk in chunks { // We can retrieve the center of that chunk by increasing the resolution let center = chunk.tohigherres(CHUNKRADIUS); // And retrieve the other coordinates in the chunk let children = center.range(CHUNKRADIUS); // We can retrieve the chunk coordinates from any coordinate.. for coord in children { // .. by reducing the resolution asserteq!(coord.tolowerres(CHUNK_RADIUS), chunk); } } ```

An other usage could be to draw an infinite hex grid, with different resolutions displayed, dynamically changing according to user zoom level.

## Usage in Bevy

If you want to generate 3D hexagonal mesh and use it in bevy you may do it this way:

```rust use bevy::prelude::Mesh; use bevy::render::{mesh::Indices, render_resource::PrimitiveTopology}; use hexx::MeshInfo;

pub fn hexagonalplane(meshinfo: MeshInfo) -> Mesh { let mut mesh = Mesh::new(PrimitiveTopology::TriangleList); mesh.insertattribute(Mesh::ATTRIBUTEPOSITION, meshinfo.vertices); mesh.insertattribute(Mesh::ATTRIBUTENORMAL, meshinfo.normals); mesh.insertattribute(Mesh::ATTRIBUTEUV0, meshinfo.uvs); mesh.setindices(Some(Indices::U16(meshinfo.indices))); mesh } ```

The [MeshInfo] can be produced from [PlaneMeshBuilder] or [ColumnMeshBuilder]

See the examples for bevy usage

Examples

hexx provides interactive examples showcasing various features:

Hex grid

cargo run --example hex_grid

This example showcases hex ranges, rings, wedges, rotation, and lines

Scroll Map

cargo run --example scroll_map

This example showcases the HexMap struct for scrolling maps

Wrap Map

cargo run --example wrap_map

This example showcases the HexMap struct for looping/wrapping map

A Star pathfinding

cargo run --example a_star

This example showcases the A star algorithm, with an interactive pathfinding between the origin and your cursor. Clicking on tile toggles their availability

Field of view

cargo run --example fov

This example showcases the FOV algorithm, with an interactive range fov around your cursor. Clicking on tile toggles their visibility.

Field of movement

cargo run --example field_of_view

This example showcases the field of movement algorithm, interactively displaying the accessible range of movement around the cursor.

3d columns

cargo run --example 3d_columns

This example showcases the 3d hexagon columns procedural generation

Mesh builder

cargo run --example mesh_builder --features bevy_reflect

This example showcases the hexagon columns procedural generation customization options

Chunks

cargo run --example chunks

This example showcases the hexagon resolution system, allowing to tile coordinates in evenly sized chunks

Merged Chunks

cargo run --example merged_columns --features bevy_reflect

This example showcases how to build a simple hex chunk system with each chunk being a single mesh