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author | Pierrick-Dartois <pierrickdartois@icloud.com> | 2025-05-22 18:51:58 +0200 |
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committer | Pierrick-Dartois <pierrickdartois@icloud.com> | 2025-05-22 18:51:58 +0200 |
commit | cb6080eaa4f326d9fce5f0a9157be46e91d55e09 (patch) | |
tree | 4d080ade8db9faa0da5268ab420dad2b02a4e248 /theta_lib/isogenies_dim2/isogeny_chain_dim2.py | |
parent | d40de259097c5e8d8fd35539560ca7c3d47523e7 (diff) | |
download | pegasis-cb6080eaa4f326d9fce5f0a9157be46e91d55e09.tar.gz pegasis-cb6080eaa4f326d9fce5f0a9157be46e91d55e09.tar.bz2 pegasis-cb6080eaa4f326d9fce5f0a9157be46e91d55e09.zip |
Clean up PEGASIS submodule inclusion
Diffstat (limited to 'theta_lib/isogenies_dim2/isogeny_chain_dim2.py')
-rw-r--r-- | theta_lib/isogenies_dim2/isogeny_chain_dim2.py | 178 |
1 files changed, 0 insertions, 178 deletions
diff --git a/theta_lib/isogenies_dim2/isogeny_chain_dim2.py b/theta_lib/isogenies_dim2/isogeny_chain_dim2.py deleted file mode 100644 index 23adb23..0000000 --- a/theta_lib/isogenies_dim2/isogeny_chain_dim2.py +++ /dev/null @@ -1,178 +0,0 @@ -""" -This code is based on a copy of: -https://github.com/ThetaIsogenies/two-isogenies - -MIT License - -Copyright (c) 2023 Pierrick Dartois, Luciano Maino, Giacomo Pope and Damien Robert - -Permission is hereby granted, free of charge, to any person obtaining a copy -of this software and associated documentation files (the "Software"), to deal -in the Software without restriction, including without limitation the rights -to use, copy, modify, merge, publish, distribute, sublicense, and/or sell -copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE -AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER -LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -SOFTWARE. -""" - -from sage.all import * -from ..theta_structures.Tuple_point import TuplePoint -from ..theta_structures.Theta_dim2 import ThetaPointDim2 -from .gluing_isogeny_dim2 import GluingThetaIsogenyDim2 -from .isogeny_dim2 import ThetaIsogenyDim2 -from ..utilities.strategy import optimised_strategy - - -class IsogenyChainDim2: - r""" - Given (P1, P2), (Q1, Q2) in (E1 x E2)[2^(n+2)] as the generators of a kernel - of a (2^n, 2^n)-isogeny - - ker(Phi) = <(P1, P2), (Q1, Q2)> - - Input: - - - kernel = TuplePoint(P1, P2), TuplePoint(Q1, Q2): - where points are on the elliptic curves E1, E2 of order 2^(n+2) - - n: the length of the chain - - strategy: the optimises strategy to compute a walk through the graph of - images and doublings with a quasli-linear number of steps - """ - - def __init__(self, kernel, Theta12, M, n, strategy=None): - self.n = n - self.E1, self.E2 = kernel[0].parent_curves() - assert kernel[1].parent_curves() == [self.E1, self.E2] - - self._domain = (self.E1, self.E2) - - if strategy is None: - strategy = self.get_strategy() - self.strategy = strategy - - self._phis = self.isogeny_chain(kernel, Theta12, M) - - self._codomain=self._phis[-1]._codomain - - def get_strategy(self): - return optimised_strategy(self.n) - - def isogeny_chain(self, kernel, Theta12, M): - """ - Compute the isogeny chain and store intermediate isogenies for evaluation - """ - # Extract the CouplePoints from the Kernel - Tp1, Tp2 = kernel - - # Store chain of (2,2)-isogenies - isogeny_chain = [] - - # Bookkeeping for optimal strategy - strat_idx = 0 - level = [0] - ker = (Tp1, Tp2) - kernel_elements = [ker] - - for k in range(self.n): - prev = sum(level) - ker = kernel_elements[-1] - - while prev != (self.n - 1 - k): - level.append(self.strategy[strat_idx]) - - # Perform the doublings - Tp1 = ker[0].double_iter(self.strategy[strat_idx]) - Tp2 = ker[1].double_iter(self.strategy[strat_idx]) - - ker = (Tp1, Tp2) - - # Update kernel elements and bookkeeping variables - kernel_elements.append(ker) - prev += self.strategy[strat_idx] - strat_idx += 1 - - # Compute the codomain from the 8-torsion - Tp1, Tp2 = ker - if k == 0: - phi = GluingThetaIsogenyDim2(Tp1, Tp2, Theta12, M) - else: - phi = ThetaIsogenyDim2(Th, Tp1, Tp2) - - # Update the chain of isogenies - Th = phi._codomain - isogeny_chain.append(phi) - - # Remove elements from list - kernel_elements.pop() - level.pop() - - # Push through points for the next step - kernel_elements = [(phi(T1), phi(T2)) for T1, T2 in kernel_elements] - - return isogeny_chain - - def evaluate_isogeny(self, P): - """ - Given a point P, of type TuplePoint on the domain E1 x E2, computes the - ThetaPointDim2 on the codomain ThetaStructureDim2. - """ - if not isinstance(P, TuplePoint): - raise TypeError( - "IsogenyChainDim2 isogeny expects as input a TuplePoint on the domain product E1 x E2" - ) - n=len(self._phis) - for i in range(n): - P = self._phis[i](P) - return P - - def __call__(self, P): - """ - Evaluate a TuplePoint under the action of this isogeny. - """ - return self.evaluate_isogeny(P) - - def dual(self): - domain = self._codomain - codomain = self._domain - n=len(self._phis) - isogenies=[] - for i in range(n): - isogenies.append(self._phis[n-1-i].dual()) - return DualIsogenyChainDim2(domain, codomain, isogenies) - - -class DualIsogenyChainDim2: - def __init__(self, domain, codomain, isogenies): - self._domain = domain - self._codomain = codomain - self._phis = isogenies - - def evaluate_isogeny(self, P): - """ - Given a ThetaPointDim2 point P on the codomain ThetaStructureDim2, - computes the image TuplePoint on the codomain E1 x E2. - """ - if not isinstance(P, ThetaPointDim2): - raise TypeError( - "DualIsogenyChainDim2 isogeny expects as input a ThetaPointDim2." - ) - n=len(self._phis) - for i in range(n): - P = self._phis[i](P) - return P - - def __call__(self, P): - """ - Evaluate a ThetaPointDim2 under the action of this isogeny. - """ - return self.evaluate_isogeny(P) |