balance

1 files changed, 32 insertions, 2 deletions

diff --git a/docs/balance.md b/docs/balance.md
index ee6572b..5db5300 100644
--- a/docs/balance.md
+++ b/docs/balance.md
@@ -1,9 +1,39 @@
 # balance
 
-### turret stats
-How strong is a turret compared to another? Are there trivial winning strategies? 
+### turret effectiveness
+How strong is a turret compared to another? Are there trivial winning strategies? Are some turrets unuseful? 
+
+Turret types:
+- apply damage
+- make the path longer
+- resource production
+
+I can compare how effective a turret is w.r.t. the others in its type.
+
+1. damage turret
+Effectiveness: damage per second
+
+2. path turret
+Effectiveness: elongation constant (adimensional)
+
+3. resource turret
+Effectiveness: return on investment (adimensional)
 
 ### random wave generation:
 A wave is generated based on a lives budget, which is a function of the wave number. Tuning that function changes the difficulty of the game.
 
 The current function is `hp_budget = pow((x + 10), 2.7) * 1.8 - 850`
+
+### total damage output (D)
+I need an estimate of how much damage a turret configuration is capable of dealing against enemies in a path of lenght L to derive the function of the wave number.
+
+```
+D = sum{d:damage turrets}( dps of d ) / enemy_speed 
+	* (1 + sum{p:path turrets}( 
+			elongation constant of p * (p.range*2 / L) ) 
+		* path_constant)
+
+enemy_speed = 1
+```
+
+The `path_constant` is how valuable it is to elongate the path in damage per meter.