Added Conway's Game of Life

example adapted from https://github.com/TheAlgorithms/Python/blob/master/cellular_automata/conways_game_of_life.py

Cellular-Automata/ConwaysGameOfLife.js

@@ -0,0 +1,90 @@
+/*
+Conway's Game of Life
+The Game of Life is a cellular automaton devised by the British mathematician John Horton Conway in 1970. The universe of the Game of Life is an infinite, two-dimensional orthogonal grid of square cells, each of which is in one of two possible states, live or dead, (or populated and unpopulated, respectively). Every cell interacts with its eight neighbours, which are the cells that are horizontally, vertically, or diagonally adjacent. At each step in time, the following transitions occur:
+  1. Any live cell with two or three live neighbours survives.
+  2. Any dead cell with three live neighbours becomes a live cell.
+  3. All other live cells die in the next generation. Similarly, all other dead cells stay dead.
+(description adapted from https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life )
+(example adapted from https://github.com/TheAlgorithms/Python/blob/master/cellular_automata/conways_game_of_life.py )
+*/
+
+/*
+*  Doctests
+*
+*  > newGeneration([[0, 1, 0], [0, 1, 0], [0, 1, 0]])
+*  [ [ 0, 0, 0 ], [ 1, 1, 1 ], [ 0, 0, 0 ] ]
+*/
+
+// Define glider example
+const glider = [
+  [0, 1, 0, 0, 0, 0, 0, 0],
+  [0, 0, 1, 0, 0, 0, 0, 0],
+  [1, 1, 1, 0, 0, 0, 0, 0],
+  [0, 0, 0, 0, 0, 0, 0, 0],
+  [0, 0, 0, 0, 0, 0, 0, 0],
+  [0, 0, 0, 0, 0, 0, 0, 0],
+  [0, 0, 0, 0, 0, 0, 0, 0],
+  [0, 0, 0, 0, 0, 0, 0, 0]
+]
+
+/*
+*  Generates the next generation for a given state of Conway's Game of Life.
+*/
+function newGeneration (cells) {
+  const nextGeneration = []
+  for (let i = 0; i < cells.length; i++) {
+    const nextGenerationRow = []
+    for (let j = 0; j < cells[i].length; j++) {
+      // Get the number of living neighbours
+      let neighbourCount = 0
+      if (i > 0 && j > 0) neighbourCount += cells[i - 1][j - 1]
+      if (i > 0) neighbourCount += cells[i - 1][j]
+      if (i > 0 && j < cells[i].length - 1) neighbourCount += cells[i - 1][j + 1]
+      if (j > 0) neighbourCount += cells[i][j - 1]
+      if (j < cells[i].length - 1) neighbourCount += cells[i][j + 1]
+      if (i < cells.length - 1 && j > 0) neighbourCount += cells[i + 1][j - 1]
+      if (i < cells.length - 1) neighbourCount += cells[i + 1][j]
+      if (i < cells.length - 1 && j < cells[i].length - 1) neighbourCount += cells[i + 1][j + 1]
+
+      // Decide whether the cell is alive or dead
+      const alive = cells[i][j] === 1
+      if ((alive && neighbourCount >= 2 && neighbourCount <= 3) || (!alive && neighbourCount === 3)) {
+        nextGenerationRow.push(1)
+      } else {
+        nextGenerationRow.push(0)
+      }
+    }
+    nextGeneration.push(nextGenerationRow)
+  }
+  return nextGeneration
+}
+
+/*
+*  utility function to display a series of generations in the console
+*/
+async function animate (cells, steps) {
+  /*
+  * utility function to print one frame
+  */
+  function printCells (cells) {
+    console.clear()
+    for (let i = 0; i < cells.length; i++) {
+      let line = ''
+      for (let j = 0; j < cells[i].length; j++) {
+        if (cells[i][j] === 1) line += '\u2022'
+        else line += ' '
+      }
+      console.log(line)
+    }
+  }
+
+  printCells(cells)
+
+  for (let i = 0; i < steps; i++) {
+    await new Promise(resolve => setTimeout(resolve, 250)) // sleep
+    cells = newGeneration(cells)
+    printCells(cells)
+  }
+}
+
+animate(glider, 16)