Use Math.hypot instead of "manually" calculating the Euclidean distan…

[Dream23322]

…ce between 2 points.

This makers it easier to read and it is also more computationally efficient.

[Visual1mpact]

https://onecompiler.com/javascript/4337nuh8r

Take a moment to look at this test doing 100,000 iterations.

// Function to calculate distance using Math.sqrt + Math.pow
function distanceWithSqrtPow(pos1, pos2) {
    return Math.sqrt(
        Math.pow(pos1.x - pos2.x, 2) +
        Math.pow(pos1.y - pos2.y, 2) +
        Math.pow(pos1.z - pos2.z, 2)
    );
}

// Function to calculate distance using Math.hypot
function distanceWithHypot(pos1, pos2) {
    return Math.hypot(
        pos1.x - pos2.x,
        pos1.y - pos2.y,
        pos1.z - pos2.z
    );
}

// Generate random Minecraft coordinates with floating-point values
function generateRandomCoordinates() {
    return {
        x: (Math.random() * 30000000) - 15000000, // World bounds for X and Z
        y: Math.random() * 256,                  // Height range (0–256)
        z: (Math.random() * 30000000) - 15000000 // World bounds for X and Z
    };
}

// Test speed
function testSpeed(iterations) {
    const pos1 = generateRandomCoordinates();
    const pos2 = generateRandomCoordinates();

    console.time("Math.sqrt + Math.pow");
    for (let i = 0; i < iterations; i++) {
        distanceWithSqrtPow(pos1, pos2);
    }
    console.timeEnd("Math.sqrt + Math.pow");

    console.time("Math.hypot");
    for (let i = 0; i < iterations; i++) {
        distanceWithHypot(pos1, pos2);
    }
    console.timeEnd("Math.hypot");
}

// Test accuracy
function testAccuracy() {
    const pos1 = generateRandomCoordinates();
    const pos2 = generateRandomCoordinates();

    const resultSqrtPow = distanceWithSqrtPow(pos1, pos2);
    const resultHypot = distanceWithHypot(pos1, pos2);
    const difference = Math.abs(resultSqrtPow - resultHypot);

    // Calculate the difference as a percentage of the result
    const percentageDifference = (difference / resultSqrtPow) * 100;

    console.log("Coordinates:");
    console.log("  Point 1:", pos1);
    console.log("  Point 2:", pos2);
    console.log("Results:");
    console.log("  Math.sqrt + Math.pow:", resultSqrtPow);
    console.log("  Math.hypot:", resultHypot);
    console.log("Difference:");
    console.log(`  Absolute: ${difference}`);
    console.log(`  Percentage of Result: ${percentageDifference.toFixed(20)}%`);

    // Provide interpretation based on the percentage
    if (percentageDifference < 0.000001) {
        console.log("  Difference is negligible.");
    } else if (percentageDifference < 0.001) {
        console.log("  Difference is very small.");
    } else {
        console.log("  Difference is noticeable but unlikely to matter.");
    }
}

// Run tests
const iterations = 100000; // Number of iterations for speed test
console.log("Testing speed...");
testSpeed(iterations);

console.log("\nTesting accuracy...");
testAccuracy();