fix(test): side chain gauges expected emissions

Update of the test_emissions_against_expected test. This time it
appropriately verifies the behavior of the gauge, in that CRV is emitted
for the previous week at the previous week's rate, and that when
crossing the epoch period the rate is maintained until one week after
the epoch has passed.

tests/unitary/Sidechain/test_root_checkpoint.py

@@ -26,19 +26,21 @@ def test_emissions_against_expected(alice, gauge_controller, liquidity_gauge, ro
     for i in range(1, 110):
 
         this_week = chain[-1].timestamp // WEEK * WEEK
-        next_week = this_week + WEEK
+        last_week = this_week - WEEK
         start_epoch_time = root_gauge.start_epoch_time()
         future_epoch_time = start_epoch_time + YEAR
+        gauge_weight = gauge_controller.gauge_relative_weight(root_gauge, last_week)
 
         # calculate the expected emissions, and checkpoint to update actual emissions
-        if next_week > future_epoch_time:
-            expected = rate * (future_epoch_time - this_week) // i
-            root_gauge.checkpoint()
-            rate = token.rate()
-            expected += rate * (next_week - future_epoch_time) // i
+        if last_week <= future_epoch_time < this_week:
+            # the core of the maff, q
+            expected = gauge_weight * rate * (future_epoch_time - last_week) / 10 ** 18
+            rate = rate * 10 ** 18 // 1189207115002721024
+            expected += gauge_weight * rate * (this_week - future_epoch_time) / 10 ** 18
         else:
-            expected = rate * WEEK // i
-            root_gauge.checkpoint()
+            expected = gauge_weight * rate * WEEK // 10 ** 18
+
+        root_gauge.checkpoint()
 
         # actual emissions should equal expected emissions
         new_emissions = root_gauge.emissions() - total_emissions
@@ -52,7 +54,12 @@ def test_emissions_against_expected(alice, gauge_controller, liquidity_gauge, ro
         gauge_controller.change_gauge_weight(liquidity_gauge, i, {"from": alice})
         chain.mine(timedelta=WEEK)
 
-        assert rate == token.rate()
+        # crossing over epochs our the rate should be the same as prior to the
+        # epoch transition
+        if this_week < future_epoch_time < this_week + WEEK:
+            assert rate > token.rate()
+        else:
+            assert rate == token.rate()
 
 
 @pytest.mark.skip_coverage