fastmath.grid
Grid calculation functions.
Convert 2d coordinates into various grid coordinates and back.
Terms used:
- cell type - grid cell shape: square, triangular, hexagonal, rhomboidal
- coords - 2d euclidean coordinates (x,y)
- cell - cell coordinates (q,r)
- anchor - cell position in 2d euclidean space
- corners - shape vertices
- size - size of the cell.
Grids
Each grid is defined by cell type and size. Optionally you can provide translating vector.
Each cell has it's own coordinates, mostly axial based (only square has offset).
For hexagonal cell size is a radius from midpoint to corner. For the rest it is the size of the side.
Cell types are:
:square:shifted-square:triangle:rhombus:flat-hex- flat topped:pointy-hex- pointy topped
Notes
- Hexagonal grids are based on https://www.redblobgames.com/grids/hexagons/
- Only hexagonal cells have anchor at the center. For the rest the anchor is at the top left vertex.
- Anchors for triangular grids are shared between two cells: even and odd
qcoordinate. Evenqis pointy topped, oddqis flat topped which is marked in the third coordinate of anchor.
- Anchors for triangular grids are shared between two cells: even and odd
Grid calculation functions.
Convert 2d coordinates into various grid coordinates and back.
Terms used:
* cell type - grid cell shape: square, triangular, hexagonal, rhomboidal
* coords - 2d euclidean coordinates (x,y)
* cell - cell coordinates (q,r)
* anchor - cell position in 2d euclidean space
* corners - shape vertices
* size - size of the cell.
### Grids
Each grid is defined by cell type and size. Optionally you can provide translating vector.
Each cell has it's own coordinates, mostly axial based (only square has offset).
For hexagonal cell size is a radius from midpoint to corner. For the rest it is the size of the side.
Cell types are:
* `:square`
* `:shifted-square`
* `:triangle`
* `:rhombus`
* `:flat-hex` - flat topped
* `:pointy-hex` - pointy topped
### Notes
* Hexagonal grids are based on https://www.redblobgames.com/grids/hexagons/
* Only hexagonal cells have anchor at the center. For the rest the anchor is at the top left vertex.
* Anchors for triangular grids are shared between two cells: even and odd `q` coordinate. Even `q` is pointy topped, odd `q` is flat topped which is marked in the third coordinate of anchor.cell->anchorclj
(cell->anchor g cell)Converts cell coordinates to anchor coordinates.
Converts cell coordinates to anchor coordinates.
cell->midclj
(cell->mid g cell)Converts cell coordinates to mid point
Converts cell coordinates to mid point
coords->anchorclj
(coords->anchor g coords)Converts 2d coordinates to cell anchor.
Converts 2d coordinates to cell anchor.
coords->cellclj
(coords->cell g coords)Converts 2d space coordinates to cell coordinates.
Converts 2d space coordinates to cell coordinates.
coords->midclj
(coords->mid g coords)Converts 2d space into cell midpoint.
Converts 2d space into cell midpoint.
cornersclj
(corners g coords)(corners g coords scale)Returns list of cell vertices for given 2d space coordinates.
Returns list of cell vertices for given 2d space coordinates.
flat-hex-cornersclj
Function which returns vertices for flat topped hexagon for given size and coordinates.
Function which returns vertices for flat topped hexagon for given size and coordinates.
gridclj
(grid)(grid type)(grid type size)(grid type size sx sy)Create grid for given type, size and optional translating vector.
Create grid for given type, size and optional translating vector.
pointy-hex-cornersclj
Function which returns vertices for pointy topped hexagon for given size and coordinates.
Function which returns vertices for pointy topped hexagon for given size and coordinates.
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