battle simulator

So everyone knows the basics of battle (swords good against axes, spears good against lc, etc.) But I've been trying to find more specifically what the equations are for how battles are played out, but with no luck on this really old thread which only gives one example and doesnt work for...

Suggestion: Create a tool in-game that can be used as a more accurate and more convenient battle simulator. There are several third-party ones (enter troop numbers and see what losses would result / whom would win including luck, morale, etc.). I've run into several times that the third-party...