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JavaScript Canvas check if rectangle include rectangle

I have two array with object. Example:

var boxes = [],
    coins = [],
    k = 0;

boxes.push({
    x: 300,
    y: 350,
    width: 500,
    height: 500
});

for (k; k < 30; k++) {
    coins.push({
        x: Math.floor(Math.random() * (10 - 4) + 4) * 100,
        y: Math.floor(Math.random() * (4 - 1) + 1) * 100,
        width:25,
        height:25
    });
}

After that I use for for draw those things. The problem is that sometimes the coins will drawn in boxes. How to check if coins are in boxes range? I was thinking about calculating the square boxes and coins but I have no idea how to finish that.

var i = 0,
    j = 0;

for (i; i < coins.length; i++) {
    for (j; j < boxes.length; j++) {

        if (boxes[j].x + boxes[j].width /* something */ coins[i].x + coins[i].width && boxes[j].y + boxes[j].height /* something */ coins[i].y + coins[i].height) {
            /* do nothing */
        } else { 
            ctx.fillRect(coins[i].x, coins[i].y, coins[i].width, coins[i].height);
        }

    }
}

Does anybody know how to finish that? Or maybe there is any other way? I can use only pure JavaScript.

Thank you for help.

Here is the if condition to get a hit:

if (
    (boxes[j].x < (coins[i].x + coins[i].width) &&  (boxes[j].x + boxes[j].width) > coins[i].x) &&
    (boxes[j].y < (coins[i].y + coins[i].height) &&  (boxes[j].y + boxes[j].height) > coins[i].y)
) {
    /* HIT - Do nothing */
} else {
    /* No Hit - Draw the coin */
}

I didn't test it, but I'm sure it works ...


EDIT:

By the way, I noticed you are not re-setting i and j var in the for loops, you should do that at least with the second loop ( j ), otherwise loop it will not work.

for (i = 0; i < coins.length; i++) {
    for (j = 0; j < boxes.length; j++) {

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