Fip0081 gradual activation

FIPS/fip-0081.md

@@ -79,10 +79,27 @@ a reasonable lower bound on network collateral.
 
 ## Specification
 Factor the per-sector initial consensus pledge into two parts: a 70% share which divides by the baseline function like today,
-and a smaller 30% "simple" share which does not divide by the baseline function.
+and a smaller 30% "simple" share which does not divide by the baseline function.  Gradually activate the change from the current
+to the target.
 
 ```
-SectorInitialConsensusPledge = PledgeLockTarget * (0.3 * SectorSimpleShare + 0.7 * SectorBaselineShare) 
+activation_len_days = int(365)
+current_day = 0
+update_day = (datetime(2024,6,1) - datetime.today()).days
+state = "before_activation"
+while True:
+    if state == "before_activation":
+        gamma_day = 1
+        if current_day >= update_day:
+            state = "ramping"
+    elif state == "ramping":
+        gamma_day -= 0.3/(activation_len_days-1)
+        if current_day >= (update_day + activation_len_days - 1):
+            state = "after_ramping"
+    elif state == "after_ramping":
+        gamma_day = 0.7
+    SectorInitialConsensusPledge_day = PledgeLockTarget * ( ((1-gamma_day)*SectorSimpleShare) + (gamma_day*SectorBaselineShare) )
+    current_day += 1
 
 SectorSimpleShare = SectorQAP / NetworkQAP
 SectorBaselineShare = SectorQAP / max(NetworkBaseline, NetworkQAP)