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grid-iterators

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This project is part of the @thi.ng/umbrella monorepo.

About

2D grid and shape iterators w/ multiple orderings.

Provides the altogether 25 following orderings to generate grid coordinates, including iterators for shape rasterization, drawing, clipping, filling, processing in general:

Columns

anim

Source

Also see the filtered version columnEnds2d(), which only includes the end points of each column.

Diagonal

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Source

Also see the filtered version diagonalEnds2d(), which only includes the end points of the diagonals.

Hilbert curve

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Source

Interleave columns

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Supports custom strides... example uses step = 4

Interleave rows

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Supports custom strides... example uses step = 4

Random

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Source

Supports custom PRNG implementations via IRandom interface defined in @thi.ng/random

Rows

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Source

Also see the filtered version rowEnds2d(), which only includes the end points of each row.

Outward spiral

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Source

Z-curve

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Zigzag columns

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Zigzag diagonal

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Zigzag rows

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Source

Some functions have been ported from Christopher Kulla's Java-based Sunflow renderer.

For more basic 2D/3D grid iteration, also see range2d() & range3d() in @thi.ng/transducers.

Flood filling

The floodFill() iterator can be used to iterate arbitrary 2D grids using an user-provided predicate function. The function recursively explores (in a row-major manner) the space in the [0,0]..(width,height) interval, starting at given x,y and continues as long given predicate function returns a truthy value. Any eligible 90-degree connected regions will be found and iterated recursively. The predicate function is used to select eligible grid cells (e.g. "pixels" of sorts).

// source "image"
const img = [
    "█", " ", " ", " ", "█",
    "█", " ", "█", " ", " ",
    " ", " ", "█", " ", "█",
    " ", "█", "█", " ", " ",
    " ", " ", " ", "█", "█",
];

// flood fill iterator from point (1,0)
// only accept " " as source pixel value
// image size is 5x5
const region = floodFill((x, y) => img[x + y * 5] === " ", 1, 0, 5, 5);

// label filled pixels using increasing ASCII values
let ascii = 65; // "A"
for(let [x,y] of region) img[x + y * 5] = String.fromCharCode(ascii++);

// result image showing fill order
img
// [
//   "█", "A", "B", "C", "█",
//   "█", "I", "█", "D", "E",
//   "K", "J", "█", "F", "█",
//   "L", "█", "█", "G", "H",
//   "M", "N", "O", "█", "█"
// ]

Miscellaneous

Additionally, the following shape iterators are available, all also with optional clipping:

Status

STABLE - used in production

Search or submit any issues for this package

Related packages

Installation

yarn add @thi.ng/grid-iterators

ES module import:

<script type="module" src="https://cdn.skypack.dev/@thi.ng/grid-iterators"></script>

Skypack documentation

For Node.js REPL:

# with flag only for < v16
node --experimental-repl-await

> const gridIterators = await import("@thi.ng/grid-iterators");

Package sizes (gzipped, pre-treeshake): ESM: 2.43 KB

Dependencies

Usage examples

Several demos in this repo's /examples directory are using this package.

A selection:

Screenshot Description Live demo Source
Visualization of different grid iterator strategies Demo Source

API

Generated API docs

import * as gi from "@thi.ng/grid-iterators";

[...gi.zigzagRows2d(4, 4)]

// [
//   [ 0, 0 ], [ 1, 0 ], [ 2, 0 ], [ 3, 0 ],
//   [ 3, 1 ], [ 2, 1 ], [ 1, 1 ], [ 0, 1 ],
//   [ 0, 2 ], [ 1, 2 ], [ 2, 2 ], [ 3, 2 ],
//   [ 3, 3 ], [ 2, 3 ], [ 1, 3 ], [ 0, 3 ]
// ]

Authors

Karsten Schmidt

If this project contributes to an academic publication, please cite it as:

@misc{thing-grid-iterators,
  title = "@thi.ng/grid-iterators",
  author = "Karsten Schmidt",
  note = "https://thi.ng/grid-iterators",
  year = 2019
}

License

© 2019 - 2022 Karsten Schmidt // Apache Software License 2.0