Update NBTest_049_CPCBalancer.py

Update NBTest_049_CPCBalancer.py

resources/NBTest/NBTest_049_CPCBalancer.py

@@ -171,11 +171,7 @@
 assert not raises(c0.description)
 assert raises(c1.description).startswith("only implemented for")
 
-assert not raises(c0.tvl)
-assert raises(c1.tvl).startswith("only implemented for")
 
-assert not raises(lambda: c0.kbar)
-assert raises(lambda: c1.kbar).startswith("only implemented for")
 
 assert not raises(lambda: c0.p_max)
 assert raises(lambda: c1.p_max).startswith("only implemented for")
@@ -192,9 +188,6 @@
 assert not raises(c0.format)
 assert raises(c1.format).startswith("only implemented for")
 
-assert not raises(c0.format)
-assert raises(c1.format).startswith("only implemented for")
-
 assert not raises(c0.xyfromp_f)
 assert raises(c1.xyfromp_f).startswith("only implemented for")
 
@@ -215,6 +208,12 @@
 assert not raises(lambda: c0.p)
 assert not raises(lambda: c1.p)
 
+assert not raises(lambda: c0.kbar)
+assert not raises(lambda: c1.kbar)
+
+assert not raises(c0.tvl)
+assert not raises(c1.tvl)
+
 assert not raises(c0.yfromx_f, 110)
 assert not raises(c1.yfromx_f, 110)
 
@@ -251,6 +250,23 @@
 assert iseq(c1.p, 2 * c1.eta)
 assert iseq(c2.p, 2 * c2.eta)
 
+# #### TVL
+#
+# $$
+# \mathrm{TVL} = x_a*p + y_a
+# $$
+
+assert c0.x == c0.x_act
+assert c0.y == c0.y_act
+assert c1.x == c1.x_act
+assert c1.y == c1.y_act
+assert c2.x == c2.x_act
+assert c2.y == c2.y_act
+
+assert iseq(c0.tvl(), 100 * c0.p + 200)
+assert iseq(c1.tvl(), 100 * c1.p + 200)
+assert iseq(c2.tvl(), 100 * c2.p + 200)
+
 # #### Pool constant $k$
 #
 # $$
@@ -266,6 +282,20 @@
 assert iseq(c1.k**(2/3), c1.x**(2/3) * c1.y**(1/3))
 assert iseq(c2.k**(1/3), c1.x**(1/3) * c1.y**(2/3))
 
+# #### Pool constant $\bar k$
+#
+# $$
+# x^\alpha\, y^{1-\alpha} = \bar k = k^\alpha
+# $$
+
+assert iseq(c0.kbar, c0.x**(1/2) * c0.y**(1/2))
+assert iseq(c1.kbar, c1.x**(2/3) * c1.y**(1/3))
+assert iseq(c2.kbar, c1.x**(1/3) * c1.y**(2/3))
+
+assert iseq(c0.kbar, c0.k**c0.alpha)
+assert iseq(c1.kbar, c1.k**c1.alpha)
+assert iseq(c2.kbar, c2.k**c2.alpha)
+
 # #### Token balance function $y(x)$
 #
 # $$