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name: pre-commit | ||
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on: [push] | ||
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jobs: | ||
pre-commit: | ||
runs-on: ubuntu-latest | ||
steps: | ||
- uses: actions/checkout@v2 | ||
- uses: actions/setup-python@v4 | ||
- uses: pre-commit/action@v3.0.0 |
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name: unit-tests-boa | ||
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on: [push] | ||
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env: | ||
GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }} | ||
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jobs: | ||
boa-tests: | ||
runs-on: ubuntu-latest | ||
steps: | ||
- uses: actions/checkout@v2 | ||
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- name: Cache Compiler Installations | ||
uses: actions/cache@v2 | ||
with: | ||
path: | | ||
~/.vvm | ||
key: compiler-cache | ||
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- name: Setup Python 3.10.4 | ||
uses: actions/setup-python@v2 | ||
with: | ||
python-version: 3.10.4 | ||
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- name: Install Requirements | ||
run: pip install -r requirements.txt | ||
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- name: Run Tests | ||
run: python -m pytest tests/ -n auto |
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# @version 0.3.10 | ||
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N_COINS: constant(uint256) = 2 | ||
PRECISION: constant(uint256) = 10 ** 18 # The precision to convert to | ||
A_MULTIPLIER: constant(uint256) = 10000 | ||
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MIN_GAMMA: constant(uint256) = 10**10 | ||
MAX_GAMMA: constant(uint256) = 2 * 10**15 | ||
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MIN_A: constant(uint256) = N_COINS**N_COINS * A_MULTIPLIER / 10 | ||
MAX_A: constant(uint256) = N_COINS**N_COINS * A_MULTIPLIER * 1000 | ||
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@internal | ||
@pure | ||
def _newton_y(ANN: uint256, gamma: uint256, x: uint256[N_COINS], D: uint256, i: uint256) -> uint256: | ||
""" | ||
Calculating x[i] given other balances x[0..N_COINS-1] and invariant D | ||
ANN = A * N**N | ||
""" | ||
# Safety checks | ||
assert ANN > MIN_A - 1 and ANN < MAX_A + 1 # dev: unsafe values A | ||
assert gamma > MIN_GAMMA - 1 and gamma < MAX_GAMMA + 1 # dev: unsafe values gamma | ||
assert D > 10**17 - 1 and D < 10**15 * 10**18 + 1 # dev: unsafe values D | ||
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x_j: uint256 = x[1 - i] | ||
y: uint256 = D**2 / (x_j * N_COINS**2) | ||
K0_i: uint256 = (10**18 * N_COINS) * x_j / D | ||
# S_i = x_j | ||
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# frac = x_j * 1e18 / D => frac = K0_i / N_COINS | ||
# assert (K0_i > 10**16*N_COINS - 1) and (K0_i < 10**20*N_COINS + 1) # dev: unsafe values x[i] | ||
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# x_sorted: uint256[N_COINS] = x | ||
# x_sorted[i] = 0 | ||
# x_sorted = self.sort(x_sorted) # From high to low | ||
# x[not i] instead of x_sorted since x_soted has only 1 element | ||
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convergence_limit: uint256 = max(max(x_j / 10**14, D / 10**14), 100) | ||
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for j in range(255): | ||
y_prev: uint256 = y | ||
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K0: uint256 = K0_i * y * N_COINS / D | ||
S: uint256 = x_j + y | ||
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_g1k0: uint256 = gamma + 10**18 | ||
if _g1k0 > K0: | ||
_g1k0 = _g1k0 - K0 + 1 | ||
else: | ||
_g1k0 = K0 - _g1k0 + 1 | ||
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# D / (A * N**N) * _g1k0**2 / gamma**2 | ||
mul1: uint256 = 10**18 * D / gamma * _g1k0 / gamma * _g1k0 * A_MULTIPLIER / ANN | ||
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# 2*K0 / _g1k0 | ||
mul2: uint256 = 10**18 + (2 * 10**18) * K0 / _g1k0 | ||
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yfprime: uint256 = 10**18 * y + S * mul2 + mul1 | ||
_dyfprime: uint256 = D * mul2 | ||
if yfprime < _dyfprime: | ||
y = y_prev / 2 | ||
continue | ||
else: | ||
yfprime -= _dyfprime | ||
fprime: uint256 = yfprime / y | ||
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# y -= f / f_prime; y = (y * fprime - f) / fprime | ||
# y = (yfprime + 10**18 * D - 10**18 * S) // fprime + mul1 // fprime * (10**18 - K0) // K0 | ||
y_minus: uint256 = mul1 / fprime | ||
y_plus: uint256 = (yfprime + 10**18 * D) / fprime + y_minus * 10**18 / K0 | ||
y_minus += 10**18 * S / fprime | ||
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if y_plus < y_minus: | ||
y = y_prev / 2 | ||
else: | ||
y = y_plus - y_minus | ||
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diff: uint256 = 0 | ||
if y > y_prev: | ||
diff = y - y_prev | ||
else: | ||
diff = y_prev - y | ||
if diff < max(convergence_limit, y / 10**14): | ||
frac: uint256 = y * 10**18 / D | ||
assert (frac > 10**16 - 1) and (frac < 10**20 + 1) # dev: unsafe value for y | ||
return y | ||
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raise "Did not converge" | ||
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@external | ||
@pure | ||
def newton_y(ANN: uint256, gamma: uint256, x: uint256[N_COINS], D: uint256, i: uint256) -> uint256: | ||
return self._newton_y(ANN, gamma, x, D, i) | ||
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@internal | ||
@pure | ||
def geometric_mean(unsorted_x: uint256[N_COINS], sort: bool) -> uint256: | ||
""" | ||
(x[0] * x[1] * ...) ** (1/N) | ||
""" | ||
x: uint256[N_COINS] = unsorted_x | ||
if sort and x[0] < x[1]: | ||
x = [unsorted_x[1], unsorted_x[0]] | ||
D: uint256 = x[0] | ||
diff: uint256 = 0 | ||
for i in range(255): | ||
D_prev: uint256 = D | ||
# tmp: uint256 = 10**18 | ||
# for _x in x: | ||
# tmp = tmp * _x / D | ||
# D = D * ((N_COINS - 1) * 10**18 + tmp) / (N_COINS * 10**18) | ||
# line below makes it for 2 coins | ||
D = unsafe_div(D + x[0] * x[1] / D, N_COINS) | ||
if D > D_prev: | ||
diff = unsafe_sub(D, D_prev) | ||
else: | ||
diff = unsafe_sub(D_prev, D) | ||
if diff <= 1 or diff * 10**18 < D: | ||
return D | ||
raise "Did not converge" | ||
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@external | ||
@view | ||
def newton_D(ANN: uint256, gamma: uint256, x_unsorted: uint256[N_COINS]) -> uint256: | ||
""" | ||
Finding the invariant using Newton method. | ||
ANN is higher by the factor A_MULTIPLIER | ||
ANN is already A * N**N | ||
Currently uses 60k gas | ||
""" | ||
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# Initial value of invariant D is that for constant-product invariant | ||
x: uint256[N_COINS] = x_unsorted | ||
if x[0] < x[1]: | ||
x = [x_unsorted[1], x_unsorted[0]] | ||
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D: uint256 = N_COINS * self.geometric_mean(x, False) | ||
S: uint256 = x[0] + x[1] | ||
__g1k0: uint256 = gamma + 10**18 | ||
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for i in range(255): | ||
D_prev: uint256 = D | ||
assert D > 0 | ||
# Unsafe ivision by D is now safe | ||
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# K0: uint256 = 10**18 | ||
# for _x in x: | ||
# K0 = K0 * _x * N_COINS / D | ||
# collapsed for 2 coins | ||
K0: uint256 = unsafe_div(unsafe_div((10**18 * N_COINS**2) * x[0], D) * x[1], D) | ||
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_g1k0: uint256 = __g1k0 | ||
if _g1k0 > K0: | ||
_g1k0 = unsafe_sub(_g1k0, K0) + 1 # > 0 | ||
else: | ||
_g1k0 = unsafe_sub(K0, _g1k0) + 1 # > 0 | ||
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# D / (A * N**N) * _g1k0**2 / gamma**2 | ||
mul1: uint256 = unsafe_div(unsafe_div(unsafe_div(10**18 * D, gamma) * _g1k0, gamma) * _g1k0 * A_MULTIPLIER, ANN) | ||
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# 2*N*K0 / _g1k0 | ||
mul2: uint256 = unsafe_div(((2 * 10**18) * N_COINS) * K0, _g1k0) | ||
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neg_fprime: uint256 = (S + unsafe_div(S * mul2, 10**18)) + mul1 * N_COINS / K0 - unsafe_div(mul2 * D, 10**18) | ||
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# D -= f / fprime | ||
D_plus: uint256 = D * (neg_fprime + S) / neg_fprime | ||
D_minus: uint256 = D*D / neg_fprime | ||
if 10**18 > K0: | ||
D_minus += unsafe_div(D * (mul1 / neg_fprime), 10**18) * unsafe_sub(10**18, K0) / K0 | ||
else: | ||
D_minus -= unsafe_div(D * (mul1 / neg_fprime), 10**18) * unsafe_sub(K0, 10**18) / K0 | ||
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if D_plus > D_minus: | ||
D = unsafe_sub(D_plus, D_minus) | ||
else: | ||
D = unsafe_div(unsafe_sub(D_minus, D_plus), 2) | ||
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diff: uint256 = 0 | ||
if D > D_prev: | ||
diff = unsafe_sub(D, D_prev) | ||
else: | ||
diff = unsafe_sub(D_prev, D) | ||
if diff * 10**14 < max(10**16, D): # Could reduce precision for gas efficiency here | ||
# Test that we are safe with the next newton_y | ||
for _x in x: | ||
frac: uint256 = _x * 10**18 / D | ||
return D | ||
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raise "Did not converge" |
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