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ZoKrates/zokrates_stdlib/stdlib/ecc/edwardsOrderCheck.zok
2022-06-28 19:23:45 +02:00

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import "ecc/edwardsAdd" as add;
import "ecc/edwardsScalarMult" as multiply;
import "utils/pack/bool/nonStrictUnpack256" as unpack256;
from "ecc/babyjubjubParams" import BabyJubJubParams;
// Verifies that the point is not one of the low-order points.
// If any of the points is multiplied by the cofactor, the resulting point
// will be infinity.
// Returns true if the point is not one of the low-order points, false otherwise.
// Curve parameters are defined with the last argument
// https://github.com/zcash-hackworks/sapling-crypto/blob/master/src/jubjub/edwards.rs#L166
def main(field[2] pt, BabyJubJubParams context) -> bool {
field cofactor = context.JUBJUB_C;
assert(cofactor == 8);
// Co-factor currently hard-coded to 8 for efficiency reasons
// See discussion here: https://github.com/Zokrates/ZoKrates/pull/301#discussion_r267203391
// Generic code:
// bool[256] cofactorExponent = unpack256(cofactor);
// field[2] ptExp = multiply(cofactorExponent, pt, context);
field[2] mut ptExp = add(pt, pt, context); // 2*pt
ptExp = add(ptExp, ptExp, context); // 4*pt
ptExp = add(ptExp, ptExp, context); // 8*pt
return !(ptExp[0] == 0 && ptExp[1] == 1);
}