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BabyBear = 2^27 * 15 + 1 | |
M31 = 2^31 - 1 | |
BN254 = 21888242871839275222246405745257275088548364400416034343698204186575808495617 | |
GL = 0xffffffff00000001 | |
fields = [BabyBear, M31, BN254, GL] | |
def check_irreducibility(field): | |
F = GF(field) | |
R.<x> = PolynomialRing(F) |
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use std::prover::Query; | |
use std::convert::fe; | |
use std::protocols::lookup_via_bus::lookup; | |
use std::math::fp2::from_base; | |
use std::prover::challenge; | |
machine Main with degree: 8 { | |
let alpha = from_base(challenge(0, 1)); | |
let beta = from_base(challenge(0, 2)); |
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use std::prover::Query; | |
use std::convert::fe; | |
use std::protocols::lookup_via_bus::lookup; | |
use std::math::fp2::from_base; | |
use std::prover::challenge; | |
machine Main with degree: 8 { | |
let alpha = from_base(challenge(0, 1)); | |
let beta = from_base(challenge(0, 2)); |
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use std::array::fold; | |
use std::math::fp2::Fp2; | |
use std::math::fp2::add_ext; | |
use std::math::fp2::mul_ext; | |
use std::math::fp2::from_base; | |
/// Maps [x_1, x_2, ..., x_n] to its Read-Solomon fingerprint, using a challenge alpha: $\sum_{i=1}^n alpha**{(n - i)} * x_i$ | |
let<T: Add + Mul + FromLiteral> fingerprint: T[], Fp2<T> -> Fp2<T> = |expr_array, alpha| fold( | |
expr_array, | |
from_base(0), |
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use std::array::len; | |
use std::check::assert; | |
use std::protocols::bus::bus_send; | |
use std::protocols::bus::bus_receive; | |
use std::protocols::bus::compute_next_z_send; | |
use std::protocols::bus::compute_next_z_receive; | |
use std::protocols::permutation::unpack_permutation_constraint; | |
use std::math::fp2::Fp2; | |
// Example usage: Implement a permutation constraint |
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use std::prover::Query; | |
use std::convert::fe; | |
use std::protocols::permutation_via_bus::permutation; | |
use std::protocols::permutation_via_bus::compute_next_z_send_permutation; | |
use std::protocols::permutation_via_bus::compute_next_z_receive_permutation; | |
use std::math::fp2::Fp2; | |
use std::prover::challenge; | |
machine Main with degree: 8 { |
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use std::prover::Query; | |
use std::convert::fe; | |
use std::protocols::permutation_via_bus::permutation; | |
use std::math::fp2::from_base; | |
use std::prover::challenge; | |
machine Main with degree: 8 { | |
let alpha = from_base(challenge(0, 1)); | |
let beta = from_base(challenge(0, 2)); |
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use std::check::assert; | |
use std::check::panic; | |
use std::math::fp2::Fp2; | |
use std::math::fp2::add_ext; | |
use std::math::fp2::sub_ext; | |
use std::math::fp2::mul_ext; | |
use std::math::fp2::inv_ext; | |
use std::math::fp2::eval_ext; | |
use std::math::fp2::unpack_ext; | |
use std::math::fp2::next_ext; |
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use std::prover::Query; | |
use std::convert::fe; | |
use std::protocols::permutation_via_bus::permutation; | |
use std::math::fp2::from_base; | |
use std::prover::challenge; | |
machine Main with degree: 8 { | |
let alpha = from_base(challenge(0, 1)); | |
let beta = from_base(challenge(0, 2)); |
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use std::prover::challenge; | |
use std::array::fold; | |
use std::utils::unwrap_or_else; | |
use std::array::len; | |
use std::check::assert; | |
use std::check::panic; | |
use std::field::known_field; | |
use std::field::KnownField; | |
use std::math::fp2::Fp2; | |
use std::math::fp2::add_ext; |
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