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180 changes: 180 additions & 0 deletions Recursive/FloodFill.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,180 @@
/**
* Flood fill, also called seed fill, is an algorithm that determines and alters the area connected
* to a given node in a multi-dimensional array with some matching attribute. It is used in the
* "bucket" fill tool of paint programs to fill connected, similarly-colored areas with a different
* color. (description adapted from https://en.wikipedia.org/wiki/Flood_fill) (see also:
* https://www.techiedelight.com/flood-fill-algorithm/).
*/

const neighbors = [[-1, -1], [-1, 0], [-1, 1], [0, -1], [0, 1], [1, -1], [1, 0], [1, 1]]

const black = [0, 0, 0]
const green = [0, 255, 0]
const violet = [255, 0, 255]
const white = [255, 255, 255]
const orange = [255, 128, 0] // eslint-disable-line

/*
Doctests
> testBreadthFirst([1, 1], green, orange, [1, 1]);
orange
> testBreadthFirst([1, 1], green, orange, [0, 1]);
violet
> testBreadthFirst([1, 1], green, orange, [6, 4]);
white
> testDepthFirst([1, 1], green, orange, [1, 1]);
orange
> testDepthFirst([1, 1], green, orange, [0, 1]);
violet
> testDepthFirst([1, 1], green, orange, [6, 4]);
white
*/

/**
* Implements the flood fill algorithm through a breadth-first approach using a queue.
*
* @param rgbData The image to which the algorithm is applied.
* @param location The start location on the image.
* @param targetColor The old color to be replaced.
* @param replacementColor The new color to replace the old one.
*/
function breadthFirstSearch (rgbData, location, targetColor, replacementColor) {
if (location[0] < 0 ||
location[0] >= rgbData.length ||
location[1] < 0 ||
location[1] >= rgbData[0].length) {
throw new Error('location should point to a pixel within the rgbData')
}

const queue = []
queue.push(location)

while (queue.length > 0) {
breadthFirstFill(rgbData, location, targetColor, replacementColor, queue)
}
}

/**
* Implements the flood fill algorithm through a depth-first approach using recursion.
*
* @param rgbData The image to which the algorithm is applied.
* @param location The start location on the image.
* @param targetColor The old color to be replaced.
* @param replacementColor The new color to replace the old one.
*/
function depthFirstSearch (rgbData, location, targetColor, replacementColor) {
if (location[0] < 0 ||
location[0] >= rgbData.length ||
location[1] < 0 ||
location[1] >= rgbData[0].length) {
throw new Error('location should point to a pixel within the rgbData')
}

depthFirstFill(rgbData, location, targetColor, replacementColor)
}

/**
* Utility-function to implement the breadth-first loop
*
* @param rgbData The image to which the algorithm is applied.
* @param location The start location on the image.
* @param targetColor The old color to be replaced.
* @param replacementColor The new color to replace the old one.
* @param queue The locations that still need to be visited.
*/
function breadthFirstFill (rgbData, location, targetColor, replacementColor, queue) {
const currentLocation = queue[0]
queue.shift()

if (rgbData[currentLocation[0]][currentLocation[1]] === targetColor) {
rgbData[currentLocation[0]][currentLocation[1]] = replacementColor

for (let i = 0; i < neighbors.length; i++) {
const x = currentLocation[0] + neighbors[i][0]
const y = currentLocation[1] + neighbors[i][1]
if (x >= 0 && x < rgbData.length && y >= 0 && y < rgbData[0].length) {
queue.push([x, y])
}
}
}
}

/**
* Utility-function to implement the depth-first loop
*
* @param rgbData The image to which the algorithm is applied.
* @param location The start location on the image.
* @param targetColor The old color to be replaced.
* @param replacementColor The new color to replace the old one.
*/
function depthFirstFill (rgbData, location, targetColor, replacementColor) {
if (rgbData[location[0]][location[1]] === targetColor) {
rgbData[location[0]][location[1]] = replacementColor

for (let i = 0; i < neighbors.length; i++) {
const x = location[0] + neighbors[i][0]
const y = location[1] + neighbors[i][1]
if (x >= 0 && x < rgbData.length && y >= 0 && y < rgbData[0].length) {
depthFirstFill(rgbData, [x, y], targetColor, replacementColor)
}
}
}
}

/**
* Generates the rgbData-matrix for the tests
*
* @return example rgbData-matrix
*/
function generateTestRgbData () {
const layout = [
[violet, violet, green, green, black, green, green],
[violet, green, green, black, green, green, green],
[green, green, green, black, green, green, green],
[black, black, green, black, white, white, green],
[violet, violet, black, violet, violet, white, white],
[green, green, green, violet, violet, violet, violet],
[violet, violet, violet, violet, violet, violet, violet]
]

// transpose layout-matrix so the x-index comes before the y-index
const transposed = []
for (let x = 0; x < layout[0].length; x++) {
transposed[x] = []
for (let y = 0; y < layout.length; y++) {
transposed[x][y] = layout[y][x]
}
}

return transposed
}

/**
* Utility-function to test the function "breadthFirstSearch"
*
* @param fillLocation The start location on the image where the flood fill is applied.
* @param targetColor The old color to be replaced.
* @param replacementColor The new color to replace the old one.
* @param testLocation The location of the color to be checked.
* @return The color at testLocation
*/
function testBreadthFirst (fillLocation, targetColor, replacementColor, testLocation) {// eslint-disable-line
const rgbData = generateTestRgbData()
breadthFirstSearch(rgbData, fillLocation, targetColor, replacementColor)
return rgbData[testLocation[0]][testLocation[1]]
}

/**
* Utility-function to test the function "depthFirstSearch"
*
* @param fillLocation The start location on the image where the flood fill is applied.
* @param targetColor The old color to be replaced.
* @param replacementColor The new color to replace the old one.
* @param testLocation The location of the color to be checked.
* @return The color at testLocation
*/
function testDepthFirst (fillLocation, targetColor, replacementColor, testLocation) {// eslint-disable-line
const rgbData = generateTestRgbData()
depthFirstSearch(rgbData, fillLocation, targetColor, replacementColor)
return rgbData[testLocation[0]][testLocation[1]]
}
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