[英]How do I find the index of the group of numbers a number belongs to in a square table?
這是一個包含64 個單元格的8x8表格,每個單元格包含一個數字
| 0| 1| 2| 3| 4| 5| 6| 7|
| 8| 9|10|11|12|13|14|15|
|16|17|18|19|20|21|22|23|
|24|19|20|21|22|23|24|25|
|32|33|34|35|36|37|38|39|
|40|41|42|43|44|45|46|47|
|48|49|50|51|52|53|54|55|
|56|57|58|59|60|61|62|63|
如果我們在心理上將表格分成 4 個單元格的圖塊,我們最終會得到:
index:0 index:1 index:12 index:15
| 0| 1| | 2| 3| |48|49| |54|55|
| 8| 9| , |10|11| .... |56|57| , |62|63|
我想創建一個基於傳遞給它的數字的方法,它將返回該數字所屬的圖塊的索引。
getTileIndexFor(8, ...) // returns 0
getTileIndexFor(11, ...) // returns 1
getTileIndexFor(62, ...) // returns 15
getTileIndexFor(55, ...) // returns 15
etc..
這是我到目前為止所擁有的:
function getTileIndexFor(number, ...) {
// ????
}
let tiles = [/* an array of tiles, each tile itself being an array of { numberWithCoords } */]
let numbersPerTileSide = 2 // i.e. a 4x4 tile (should also work with any multiple of 2)
let numbersPerTableSide = 8 // should also work with any multiple of {numbersPerTileSide}
// making a 8x8 table of numbers from 0 to 63
let tableOfNumbers = [...Array(numbersPerTableSide * numbersPerTableSide).keys()]
tableOfNumbers.forEach((index) => {
let x = index % numbersPerTableSide
let y = Math.floor(index / numbersPerTableSide)
// get current number alongs with its x & y in the table
let numberWithCoords = { number: index, x, y }
let tileIndex = getTileIndexFor(number, ...)
// if tile doesn't exist create it
tiles[tileIndex] = tiles[tileIndex] || []
// push current number into the correct tile
tiles[tileIndex].push(numberWithCoords)
})
console.log(tiles)
應該記錄:
[
[
{ number: 0, x: 0, y: 0 },
{ number: 1, x: 1, y: 0 },
{ number: 8, x: 0, y: 1 },
{ number: 9, x: 1, y: 1 }
],
....,
[
{ number: 54, x: 6, y: 6 },
{ number: 55, x: 7, y: 6 },
{ number: 62, x: 6, y: 7 },
{ number: 63, x: 7, y: 7 }
]
]
您可以計算 2x2 零件的索引。
function getIndex(i) { let col = Math.floor(i / cellCols) % (cols / cellCols), row = Math.floor(i / (rows * cellRows)); return col + row * (rows / cellRows); } const result = [] cols = 8, rows = 8, cellCols = 2, cellRows = 2; for (let y = 0; y < rows; y++) { for (let x = 0; x < cols; x++) { const number = y * cols + x; (result[getIndex(number)] ??= []).push({ number, x, y }); } } console.log(result);
.as-console-wrapper { max-height: 100% !important; top: 0; }
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