def initialize_bonding_curve(initial_supply,
initial_price=default_initial_price,
kappa=default_kappa,
theta=default_theta):
S = initial_supply
total_raise = initial_price * S
R = (1 - theta) * total_raise
V0 = invariant(R, S, kappa)
initial_reserve = R
hatch_price = spot_price(R, V0, kappa)
return initial_reserve, V0, hatch_price
def update_price(params, step, sL, s, _input):
supply = s['supply']
delta_holdings = _input['delta_holdings']
delta_supply = np.sum([v for v in delta_holdings.values()])
supply = supply + delta_supply
kappa = params['kappa']
V0 = params['invariant']
R = reserve(supply, V0, kappa)
price = spot_price(R, V0, kappa)
key = 'spot_price'
value = price
return (key, value)