Calculate combat result between 2 units [closed]

Question

I need to know the best way to calculate an outcome between 2 types of units. Each unit has 3 factors: Health, AttackPower, Defense

There is also a last factor of anti-troop which says that one trooper is better against a certain type. So this factor must be taken accounted for.

Can someone help me with this ?

Kind regards

Example

Unit1(attacker):

 Amount: 40
 Health/Unit: 10
 AP/Unit: 5
 Defense/Unit: 2

Unit2(defender):

Amount: 20
Health/Unit: 10
AP/Unit: 5
Defense/Unit: 2

How can I get a right outcome of who wins and with how many units left.

Answer 1

Based on the factors provided, a simple way to handle this would be:

EnemyHealth -= (PlayerAttackPower * Boost) - EnemyDefense 

Where Boost would be the percentage of attack power boost you would get based on the unit you are attacking.

---

Edit

In the case of multiple units, I would do something like this:

// keep attacking until someone is wiped out
while (Players.Count > 0 || Enemies.Count > 0)
{       
    //Loop through all player units
    for (int i = 0; i < Players.Count; i++)
    {          
        //Loop through all enemy units
        for (int j = 0; j < Enemies.Count; j++)
        {
            //Get ratio of Player units vs Enemy units
            double PlayerRatio = Players.Count / Enemies.Count;
            double EnemyRatio = Enemies.Count / Players.Count;

            //Player attacks enemy
            Enemies[j].Health -= (Players[i].Attack * PlayerRatio * Boost) - Enemies[j].Defense;

            //Enemy is dead, remove him
            if (Enemies[j].Health <= 0)
            {
                Enemies.RemoveAt(j);
                j--;
            }
            else    //enemy still alive, attack back at player
            {
                 Players[i].Health -= (Enemies[j].Attack * EnemyRatio * Boost) - Players[i].Defense;
                 if (Players[i].Health <= 0)
                 {
                      Players.RemoveAt(i);
                      i--;
                 }
            }
        }
    }
}

Answer 2

I'm just throwing up a ball here:

Say you have two players. They have the stats HP/AP/Def.

Player 1: 100 / 15 / 10

Player 2: 100 / 22 / 7

Player 1 is a trooper, player 2 is an anti-trooper.

You could be doing a 'hit' each attack. Say player 1 goes first, and hits player 2 with 15 AP. Player 2 has 7 Def, so 15-7 = 6 damage inflicted. But, Player 2 is an anti-trooper, so he gets a x-2 bonus. Player 2 receives 6/2=3 damage, HP left: 97.

You can switch around with the values a bit, or the bonusses gained from being a trooper/anti-trooper. Another thing commonly done is to use the defense not as flatout damage reduction, but as a percentage reduction of the damage gain.

Answer 3

As Joetjah writed, Player 1 will cause 3 damage per hit (pl_1_dph), and Player 2 will cause (22 - 10) = 12 damage per hit (pl_2_dph).

So, 1 unit of Player 1 requires 100 / 3 ~= 33 hits to kill 1 unit of Player 2 (pl_2_hp / pl_1_dph).

100 units of Player 1 will kill 200 units of Player 2 within

(pl_2_hp * pl_2_units) / (pl_1_dph * pl_1_units) = (100 * 200) / (3 * 100) = 20000 / 300 ~= 66 hits

200 units of Player 2 will kill 100 units of Player 1 within

(pl_1_hp * pl_1_units) / (pl_2_dph * pl_2_units) = (100 * 100) / (12 * 200) = 10000 / 2400 ~= 4 hits

As you see, troops of Player 2 will kill all forces of Player 1 within 4 hits. Within that time, Player 1 also attacked 4 times, and will cause 4 * pl_1_units * pl_1_dph = 4 * 100 * 3 = 1200 damage total, which means, that 1200 / pl_2_hp = 1200 / 100 = 12 units of Player 2 will be killed.

Summary: with 100 units (dph = 3) of Player 1 and 200 units (dph = 12) of Player 2, Player 2 will win within 4 steps (hits) and loose only 12 his units.

Algo:

1) compute damage per hit for player 1 and 2 (dont forget "anti-" bonus)

2) compute minimum hits, required for each player to completely kill enemy army

3) compare required hits to choose the winner (as required_hits)

4) compute damage, caused by looser to winner within required_hits hits to decide, how many forces will loose the winner (all units of looser's army was killed)