arnaucube
arnaucube/phantom-zonePublic Self-hosted repository
phantom-zone/src/bool/evaluator.rs
src/bool/evaluator.rsRaw
   1use std::{
   2    borrow::BorrowMut,
   3    cell::{OnceCell, RefCell},
   4    clone,
   5    collections::HashMap,
   6    fmt::{Debug, Display},
   7    iter::Once,
   8    marker::PhantomData,
   9    ops::Shr,
  10    sync::OnceLock,
  11};
  12
  13use itertools::{izip, partition, Itertools};
  14use num_traits::{FromPrimitive, Num, One, Pow, PrimInt, ToPrimitive, WrappingSub, Zero};
  15use rand_distr::uniform::SampleUniform;
  16
  17use crate::{
  18    backend::{
  19        ArithmeticOps, GetModulus, ModInit, ModularOpsU64, Modulus, ShoupMatrixFMA, VectorOps,
  20    },
  21    decomposer::{Decomposer, DefaultDecomposer, NumInfo, RlweDecomposer},
  22    lwe::{decrypt_lwe, encrypt_lwe, lwe_key_switch, lwe_ksk_keygen, measure_noise_lwe, LweSecret},
  23    multi_party::public_key_share,
  24    ntt::{self, Ntt, NttBackendU64, NttInit},
  25    pbs::{pbs, sample_extract, PbsInfo, PbsKey},
  26    random::{
  27        DefaultSecureRng, NewWithSeed, RandomFill, RandomFillGaussianInModulus,
  28        RandomFillUniformInModulus, RandomGaussianElementInModulus,
  29    },
  30    rgsw::{
  31        decrypt_rlwe, galois_auto, galois_key_gen, generate_auto_map, public_key_encrypt_rgsw,
  32        rgsw_by_rgsw_inplace, rlwe_by_rgsw, secret_key_encrypt_rgsw, IsTrivial, RgswCiphertext,
  33        RlweCiphertext, RlweSecret,
  34    },
  35    utils::{
  36        fill_random_ternary_secret_with_hamming_weight, generate_prime, mod_exponent, Global,
  37        TryConvertFrom1, WithLocal,
  38    },
  39    Decryptor, Encryptor, Matrix, MatrixEntity, MatrixMut, MultiPartyDecryptor, Row, RowEntity,
  40    RowMut, Secret,
  41};
  42
  43use super::{
  44    keys::ClientKey,
  45    parameters::{BoolParameters, CiphertextModulus},
  46    CommonReferenceSeededCollectivePublicKeyShare, CommonReferenceSeededMultiPartyServerKeyShare,
  47    SeededMultiPartyServerKey, SeededServerKey, ServerKeyEvaluationDomain,
  48    ShoupServerKeyEvaluationDomain,
  49};
  50
  51pub struct MultiPartyCrs<S> {
  52    pub(super) seed: S,
  53}
  54
  55impl<S: Default + Copy> MultiPartyCrs<S> {
  56    /// Seed to generate public key share using MultiPartyCrs as the main seed.
  57    ///
  58    /// Public key seed equals the 1st seed extracted from PRNG Seeded with
  59    /// MiltiPartyCrs's seed.
  60    pub(super) fn public_key_share_seed<Rng: NewWithSeed<Seed = S> + RandomFill<S>>(&self) -> S {
  61        let mut prng = Rng::new_with_seed(self.seed);
  62
  63        let mut seed = S::default();
  64        RandomFill::<S>::random_fill(&mut prng, &mut seed);
  65        seed
  66    }
  67
  68    /// Seed to generate server key share using MultiPartyCrs as the main seed.
  69    ///
  70    /// Server key seed equals the 2nd seed extracted from PRNG Seeded with
  71    /// MiltiPartyCrs's seed.
  72    pub(super) fn server_key_share_seed<Rng: NewWithSeed<Seed = S> + RandomFill<S>>(&self) -> S {
  73        let mut prng = Rng::new_with_seed(self.seed);
  74
  75        let mut seed = S::default();
  76        RandomFill::<S>::random_fill(&mut prng, &mut seed);
  77        RandomFill::<S>::random_fill(&mut prng, &mut seed);
  78        seed
  79    }
  80}
  81
  82pub(crate) trait BooleanGates {
  83    type Ciphertext: RowEntity;
  84    type Key: Global;
  85
  86    fn and_inplace(&mut self, c0: &mut Self::Ciphertext, c1: &Self::Ciphertext, key: &Self::Key);
  87    fn nand_inplace(&mut self, c0: &mut Self::Ciphertext, c1: &Self::Ciphertext, key: &Self::Key);
  88    fn or_inplace(&mut self, c0: &mut Self::Ciphertext, c1: &Self::Ciphertext, key: &Self::Key);
  89    fn nor_inplace(&mut self, c0: &mut Self::Ciphertext, c1: &Self::Ciphertext, key: &Self::Key);
  90    fn xor_inplace(&mut self, c0: &mut Self::Ciphertext, c1: &Self::Ciphertext, key: &Self::Key);
  91    fn xnor_inplace(&mut self, c0: &mut Self::Ciphertext, c1: &Self::Ciphertext, key: &Self::Key);
  92    fn not_inplace(&mut self, c: &mut Self::Ciphertext);
  93
  94    fn and(
  95        &mut self,
  96        c0: &Self::Ciphertext,
  97        c1: &Self::Ciphertext,
  98        key: &Self::Key,
  99    ) -> Self::Ciphertext;
 100    fn nand(
 101        &mut self,
 102        c0: &Self::Ciphertext,
 103        c1: &Self::Ciphertext,
 104        key: &Self::Key,
 105    ) -> Self::Ciphertext;
 106    fn or(
 107        &mut self,
 108        c0: &Self::Ciphertext,
 109        c1: &Self::Ciphertext,
 110        key: &Self::Key,
 111    ) -> Self::Ciphertext;
 112    fn nor(
 113        &mut self,
 114        c0: &Self::Ciphertext,
 115        c1: &Self::Ciphertext,
 116        key: &Self::Key,
 117    ) -> Self::Ciphertext;
 118    fn xor(
 119        &mut self,
 120        c0: &Self::Ciphertext,
 121        c1: &Self::Ciphertext,
 122        key: &Self::Key,
 123    ) -> Self::Ciphertext;
 124    fn xnor(
 125        &mut self,
 126        c0: &Self::Ciphertext,
 127        c1: &Self::Ciphertext,
 128        key: &Self::Key,
 129    ) -> Self::Ciphertext;
 130    fn not(&mut self, c: &Self::Ciphertext) -> Self::Ciphertext;
 131}
 132
 133struct ScratchMemory<M>
 134where
 135    M: Matrix,
 136{
 137    lwe_vector: M::R,
 138    decomposition_matrix: M,
 139}
 140
 141impl<M: MatrixEntity> ScratchMemory<M>
 142where
 143    M::R: RowEntity,
 144{
 145    fn new(parameters: &BoolParameters<M::MatElement>) -> Self {
 146        // Vector to store LWE ciphertext with LWE dimesnion n
 147        let lwe_vector = M::R::zeros(parameters.lwe_n().0 + 1);
 148
 149        // Matrix to store decomposed polynomials
 150        // Max decompistion count + space for temporary RLWE
 151        let d = std::cmp::max(
 152            parameters.auto_decomposition_count().0,
 153            std::cmp::max(
 154                parameters.rlwe_rgsw_decomposition_count().0 .0,
 155                parameters.rlwe_rgsw_decomposition_count().1 .0,
 156            ),
 157        ) + 2;
 158        let decomposition_matrix = M::zeros(d, parameters.rlwe_n().0);
 159
 160        Self {
 161            lwe_vector,
 162            decomposition_matrix,
 163        }
 164    }
 165}
 166
 167pub(super) trait BoolEncoding {
 168    type Element;
 169    fn true_el(&self) -> Self::Element;
 170    fn false_el(&self) -> Self::Element;
 171    fn qby4(&self) -> Self::Element;
 172    fn decode(&self, m: Self::Element) -> bool;
 173}
 174
 175impl<T> BoolEncoding for CiphertextModulus<T>
 176where
 177    CiphertextModulus<T>: Modulus<Element = T>,
 178    T: PrimInt,
 179{
 180    type Element = T;
 181
 182    fn qby4(&self) -> Self::Element {
 183        if self.is_native() {
 184            T::one() << (CiphertextModulus::<T>::_bits() - 2)
 185        } else {
 186            self.q().unwrap() >> 2
 187        }
 188    }
 189    /// Q/8
 190    fn true_el(&self) -> Self::Element {
 191        if self.is_native() {
 192            T::one() << (CiphertextModulus::<T>::_bits() - 3)
 193        } else {
 194            self.q().unwrap() >> 3
 195        }
 196    }
 197    /// -Q/8
 198    fn false_el(&self) -> Self::Element {
 199        self.largest_unsigned_value() - self.true_el() + T::one()
 200    }
 201    fn decode(&self, m: Self::Element) -> bool {
 202        let qby8 = self.true_el();
 203        let m = (((m + qby8).to_f64().unwrap() * 4.0f64) / self.q_as_f64().unwrap()).round()
 204            as usize
 205            % 4usize;
 206
 207        if m == 0 {
 208            return false;
 209        } else if m == 1 {
 210            return true;
 211        } else {
 212            panic!("Incorrect bool decryption. Got m={m} but expected m to be 0 or 1")
 213        }
 214    }
 215}
 216
 217pub(super) struct BoolPbsInfo<M: Matrix, Ntt, RlweModOp, LweModOp> {
 218    auto_decomposer: DefaultDecomposer<M::MatElement>,
 219    rlwe_rgsw_decomposer: (
 220        DefaultDecomposer<M::MatElement>,
 221        DefaultDecomposer<M::MatElement>,
 222    ),
 223    lwe_decomposer: DefaultDecomposer<M::MatElement>,
 224    g_k_dlog_map: Vec<usize>,
 225    rlwe_nttop: Ntt,
 226    rlwe_modop: RlweModOp,
 227    lwe_modop: LweModOp,
 228    embedding_factor: usize,
 229    rlwe_qby4: M::MatElement,
 230    rlwe_auto_maps: Vec<(Vec<usize>, Vec<bool>)>,
 231    parameters: BoolParameters<M::MatElement>,
 232}
 233
 234impl<M: Matrix, NttOp, RlweModOp, LweModOp> PbsInfo for BoolPbsInfo<M, NttOp, RlweModOp, LweModOp>
 235where
 236    M::MatElement: PrimInt + WrappingSub + NumInfo + FromPrimitive + From<bool> + Display,
 237    RlweModOp: ArithmeticOps<Element = M::MatElement> + ShoupMatrixFMA<M::R>,
 238    LweModOp: ArithmeticOps<Element = M::MatElement> + VectorOps<Element = M::MatElement>,
 239    NttOp: Ntt<Element = M::MatElement>,
 240{
 241    type M = M;
 242    type Modulus = CiphertextModulus<M::MatElement>;
 243    type D = DefaultDecomposer<M::MatElement>;
 244    type RlweModOp = RlweModOp;
 245    type LweModOp = LweModOp;
 246    type NttOp = NttOp;
 247    fn rlwe_auto_map(&self, k: usize) -> &(Vec<usize>, Vec<bool>) {
 248        &self.rlwe_auto_maps[k]
 249    }
 250    fn br_q(&self) -> usize {
 251        *self.parameters.br_q()
 252    }
 253    fn lwe_decomposer(&self) -> &Self::D {
 254        &self.lwe_decomposer
 255    }
 256    fn rlwe_rgsw_decomposer(&self) -> &(Self::D, Self::D) {
 257        &self.rlwe_rgsw_decomposer
 258    }
 259    fn auto_decomposer(&self) -> &Self::D {
 260        &self.auto_decomposer
 261    }
 262    fn embedding_factor(&self) -> usize {
 263        self.embedding_factor
 264    }
 265    fn g(&self) -> isize {
 266        self.parameters.g() as isize
 267    }
 268    fn w(&self) -> usize {
 269        self.parameters.w()
 270    }
 271    fn g_k_dlog_map(&self) -> &[usize] {
 272        &self.g_k_dlog_map
 273    }
 274    fn lwe_n(&self) -> usize {
 275        self.parameters.lwe_n().0
 276    }
 277    fn lwe_q(&self) -> &Self::Modulus {
 278        self.parameters.lwe_q()
 279    }
 280    fn rlwe_n(&self) -> usize {
 281        self.parameters.rlwe_n().0
 282    }
 283    fn rlwe_q(&self) -> &Self::Modulus {
 284        self.parameters.rlwe_q()
 285    }
 286    fn modop_lweq(&self) -> &Self::LweModOp {
 287        &self.lwe_modop
 288    }
 289    fn modop_rlweq(&self) -> &Self::RlweModOp {
 290        &self.rlwe_modop
 291    }
 292    fn nttop_rlweq(&self) -> &Self::NttOp {
 293        &self.rlwe_nttop
 294    }
 295}
 296
 297pub(crate) struct BoolEvaluator<Info, SKey>
 298where
 299    M: Matrix,
 300{
 301    pbs_info: BoolPbsInfo<M, Ntt, RlweModOp, LweModOp>,
 302    scratch_memory: ScratchMemory<M>,
 303    nand_test_vec: M::R,
 304    and_test_vec: M::R,
 305    or_test_vec: M::R,
 306    nor_test_vec: M::R,
 307    xor_test_vec: M::R,
 308    xnor_test_vec: M::R,
 309    _phantom: PhantomData<M>,
 310}
 311
 312impl<M: Matrix, NttOp, RlweModOp, LweModOp> BoolEvaluator<M, NttOp, RlweModOp, LweModOp> {
 313    pub(super) fn parameters(&self) -> &BoolParameters<M::MatElement> {
 314        &self.pbs_info.parameters
 315    }
 316
 317    pub(super) fn pbs_info(&self) -> &BoolPbsInfo<M, NttOp, RlweModOp, LweModOp> {
 318        &self.pbs_info
 319    }
 320}
 321
 322impl<M: Matrix, NttOp, RlweModOp, LweModOp, SKey> BoolEvaluator<M, NttOp, RlweModOp, LweModOp, SKey>
 323where
 324    M: MatrixEntity + MatrixMut,
 325    M::MatElement: PrimInt
 326        + Debug
 327        + Display
 328        + NumInfo
 329        + FromPrimitive
 330        + WrappingSub
 331        + SampleUniform
 332        + From<bool>,
 333    NttOp: Ntt<Element = M::MatElement>,
 334    RlweModOp: ArithmeticOps<Element = M::MatElement>
 335        + VectorOps<Element = M::MatElement>
 336        + GetModulus<Element = M::MatElement, M = CiphertextModulus<M::MatElement>>
 337        + ShoupMatrixFMA<M::R>,
 338    LweModOp: ArithmeticOps<Element = M::MatElement>
 339        + VectorOps<Element = M::MatElement>
 340        + GetModulus<Element = M::MatElement, M = CiphertextModulus<M::MatElement>>,
 341    M::R: TryConvertFrom1<[i32], CiphertextModulus<M::MatElement>> + RowEntity + Debug,
 342    <M as Matrix>::R: RowMut,
 343{
 344    pub(super) fn new(parameters: BoolParameters<M::MatElement>) -> Self
 345    where
 346        RlweModOp: ModInit<M = CiphertextModulus<M::MatElement>>,
 347        LweModOp: ModInit<M = CiphertextModulus<M::MatElement>>,
 348        NttOp: NttInit<CiphertextModulus<M::MatElement>>,
 349    {
 350        //TODO(Jay): Run sanity checks for modulus values in parameters
 351
 352        // generates dlog map s.t. (+/-)g^{k} % q = a, for all a \in Z*_{q} and k \in
 353        // [0, q/4). We store the dlog `k` at index `a`. This makes it easier to
 354        // simply look up `k` at runtime as vec[a]. If a = g^{k} then dlog is
 355        // stored as k. If a = -g^{k} then dlog is stored as k = q/4. This is done to
 356        // differentiate sign.
 357        let g = parameters.g();
 358        let q = *parameters.br_q();
 359        let mut g_k_dlog_map = vec![0usize; q];
 360        for i in 0..q / 4 {
 361            let v = mod_exponent(g as u64, i as u64, q as u64) as usize;
 362            // g^i
 363            g_k_dlog_map[v] = i;
 364            // -(g^i)
 365            g_k_dlog_map[q - v] = i + (q / 4);
 366        }
 367
 368        let embedding_factor = (2 * parameters.rlwe_n().0) / q;
 369
 370        let rlwe_nttop = NttOp::new(parameters.rlwe_q(), parameters.rlwe_n().0);
 371        let rlwe_modop = RlweModOp::new(*parameters.rlwe_q());
 372        let lwe_modop = LweModOp::new(*parameters.lwe_q());
 373
 374        let q = *parameters.br_q();
 375        let qby2 = q >> 1;
 376        let qby8 = q >> 3;
 377        // Q/8 (Q: rlwe_q)
 378        let true_m_el = parameters.rlwe_q().true_el();
 379        // -Q/8
 380        let false_m_el = parameters.rlwe_q().false_el();
 381        let (auto_map_index, auto_map_sign) = generate_auto_map(qby2, -(g as isize));
 382
 383        let init_test_vec = |partition_el: usize,
 384                             before_partition_el: M::MatElement,
 385                             after_partition_el: M::MatElement| {
 386            let mut test_vec = M::R::zeros(qby2);
 387            for i in 0..qby2 {
 388                if i < partition_el {
 389                    test_vec.as_mut()[i] = before_partition_el;
 390                } else {
 391                    test_vec.as_mut()[i] = after_partition_el;
 392                }
 393            }
 394
 395            // v(X) -> v(X^{-g})
 396            let mut test_vec_autog = M::R::zeros(qby2);
 397            izip!(
 398                test_vec.as_ref().iter(),
 399                auto_map_index.iter(),
 400                auto_map_sign.iter()
 401            )
 402            .for_each(|(v, to_index, to_sign)| {
 403                if !to_sign {
 404                    // negate
 405                    test_vec_autog.as_mut()[*to_index] = rlwe_modop.neg(v);
 406                } else {
 407                    test_vec_autog.as_mut()[*to_index] = *v;
 408                }
 409            });
 410
 411            return test_vec_autog;
 412        };
 413
 414        let nand_test_vec = init_test_vec(3 * qby8, true_m_el, false_m_el);
 415        let and_test_vec = init_test_vec(3 * qby8, false_m_el, true_m_el);
 416        let or_test_vec = init_test_vec(qby8, false_m_el, true_m_el);
 417        let nor_test_vec = init_test_vec(qby8, true_m_el, false_m_el);
 418        let xor_test_vec = init_test_vec(qby8, false_m_el, true_m_el);
 419        let xnor_test_vec = init_test_vec(qby8, true_m_el, false_m_el);
 420
 421        // auto map indices and sign
 422        // Auto maps are stored as [-g, g^{1}, g^{2}, ..., g^{w}]
 423        let mut rlwe_auto_maps = vec![];
 424        let ring_size = parameters.rlwe_n().0;
 425        let g = parameters.g();
 426        let br_q = parameters.br_q();
 427        let auto_element_dlogs = parameters.auto_element_dlogs();
 428        assert!(auto_element_dlogs[0] == 0);
 429        for i in auto_element_dlogs.into_iter() {
 430            let el = if i == 0 {
 431                -(g as isize)
 432            } else {
 433                (g.pow(i as u32) % br_q) as isize
 434            };
 435            rlwe_auto_maps.push(generate_auto_map(ring_size, el))
 436        }
 437
 438        let rlwe_qby4 = parameters.rlwe_q().qby4();
 439
 440        let scratch_memory = ScratchMemory::new(&parameters);
 441
 442        let pbs_info = BoolPbsInfo {
 443            auto_decomposer: parameters.auto_decomposer(),
 444            lwe_decomposer: parameters.lwe_decomposer(),
 445            rlwe_rgsw_decomposer: parameters.rlwe_rgsw_decomposer(),
 446            g_k_dlog_map,
 447            embedding_factor,
 448            lwe_modop,
 449            rlwe_modop,
 450            rlwe_nttop,
 451            rlwe_qby4,
 452            rlwe_auto_maps,
 453            parameters: parameters,
 454        };
 455
 456        BoolEvaluator {
 457            pbs_info,
 458            scratch_memory,
 459            nand_test_vec,
 460            and_test_vec,
 461            or_test_vec,
 462            nor_test_vec,
 463            xnor_test_vec,
 464            xor_test_vec,
 465            _phantom: PhantomData,
 466        }
 467    }
 468
 469    pub(super) fn client_key(&self) -> ClientKey {
 470        let sk_lwe = LweSecret::random(
 471            self.pbs_info.parameters.lwe_n().0 >> 1,
 472            self.pbs_info.parameters.lwe_n().0,
 473        );
 474        let sk_rlwe = RlweSecret::random(
 475            self.pbs_info.parameters.rlwe_n().0 >> 1,
 476            self.pbs_info.parameters.rlwe_n().0,
 477        );
 478        ClientKey::new(sk_rlwe, sk_lwe)
 479    }
 480
 481    pub(super) fn server_key(
 482        &self,
 483        client_key: &ClientKey,
 484    ) -> SeededServerKey<M, BoolParameters<M::MatElement>, [u8; 32]> {
 485        DefaultSecureRng::with_local_mut(|rng| {
 486            let mut main_seed = [0u8; 32];
 487            rng.fill_bytes(&mut main_seed);
 488
 489            let mut main_prng = DefaultSecureRng::new_seeded(main_seed);
 490
 491            let rlwe_n = self.pbs_info.parameters.rlwe_n().0;
 492            let sk_rlwe = client_key.sk_rlwe();
 493            let sk_lwe = client_key.sk_lwe();
 494
 495            // generate auto keys
 496            let mut auto_keys = HashMap::new();
 497            let auto_gadget = self.pbs_info.auto_decomposer.gadget_vector();
 498            let g = self.pbs_info.parameters.g();
 499            let br_q = self.pbs_info.parameters.br_q();
 500            let auto_els = self.pbs_info.parameters.auto_element_dlogs();
 501            for i in auto_els.into_iter() {
 502                let g_pow = if i == 0 {
 503                    -(g as isize)
 504                } else {
 505                    (g.pow(i as u32) % br_q) as isize
 506                };
 507                let mut gk = M::zeros(self.pbs_info.auto_decomposer.decomposition_count(), rlwe_n);
 508                galois_key_gen(
 509                    &mut gk,
 510                    sk_rlwe.values(),
 511                    g_pow,
 512                    &auto_gadget,
 513                    &self.pbs_info.rlwe_modop,
 514                    &self.pbs_info.rlwe_nttop,
 515                    &mut main_prng,
 516                    rng,
 517                );
 518                auto_keys.insert(i, gk);
 519            }
 520
 521            // generate rgsw ciphertexts RGSW(si) where si is i^th LWE secret element
 522            let ring_size = self.pbs_info.parameters.rlwe_n().0;
 523            let rlwe_q = self.pbs_info.parameters.rlwe_q();
 524            let (rlrg_d_a, rlrg_d_b) = (
 525                self.pbs_info.rlwe_rgsw_decomposer.0.decomposition_count(),
 526                self.pbs_info.rlwe_rgsw_decomposer.1.decomposition_count(),
 527            );
 528            let rlrg_gadget_a = self.pbs_info.rlwe_rgsw_decomposer.0.gadget_vector();
 529            let rlrg_gadget_b = self.pbs_info.rlwe_rgsw_decomposer.1.gadget_vector();
 530            let rgsw_cts = sk_lwe
 531                .values()
 532                .iter()
 533                .map(|si| {
 534                    // X^{si}; assume |emebedding_factor * si| < N
 535                    let mut m = M::R::zeros(ring_size);
 536                    let si = (self.pbs_info.embedding_factor as i32) * si;
 537                    // dbg!(si);
 538                    if si < 0 {
 539                        // X^{-i} = X^{2N - i} = -X^{N-i}
 540                        m.as_mut()[ring_size - (si.abs() as usize)] = rlwe_q.neg_one();
 541                    } else {
 542                        // X^{i}
 543                        m.as_mut()[si.abs() as usize] = M::MatElement::one();
 544                    }
 545
 546                    let mut rgsw_si = M::zeros(rlrg_d_a * 2 + rlrg_d_b, ring_size);
 547                    secret_key_encrypt_rgsw(
 548                        &mut rgsw_si,
 549                        m.as_ref(),
 550                        &rlrg_gadget_a,
 551                        &rlrg_gadget_b,
 552                        sk_rlwe.values(),
 553                        &self.pbs_info.rlwe_modop,
 554                        &self.pbs_info.rlwe_nttop,
 555                        &mut main_prng,
 556                        rng,
 557                    );
 558
 559                    rgsw_si
 560                })
 561                .collect_vec();
 562
 563            // LWE KSK from RLWE secret s -> LWE secret z
 564            let d_lwe_gadget = self.pbs_info.lwe_decomposer.gadget_vector();
 565            let mut lwe_ksk =
 566                M::R::zeros(self.pbs_info.lwe_decomposer.decomposition_count() * ring_size);
 567            lwe_ksk_keygen(
 568                &sk_rlwe.values(),
 569                &sk_lwe.values(),
 570                &mut lwe_ksk,
 571                &d_lwe_gadget,
 572                &self.pbs_info.lwe_modop,
 573                &mut main_prng,
 574                rng,
 575            );
 576
 577            SeededServerKey::from_raw(
 578                auto_keys,
 579                rgsw_cts,
 580                lwe_ksk,
 581                self.pbs_info.parameters.clone(),
 582                main_seed,
 583            )
 584        })
 585    }
 586
 587    pub(super) fn multi_party_server_key_share(
 588        &self,
 589        cr_seed: [u8; 32],
 590        collective_pk: &M,
 591        client_key: &ClientKey,
 592    ) -> CommonReferenceSeededMultiPartyServerKeyShare<M, BoolParameters<M::MatElement>, [u8; 32]>
 593    {
 594        DefaultSecureRng::with_local_mut(|rng| {
 595            let mut main_prng = DefaultSecureRng::new_seeded(cr_seed);
 596
 597            let sk_rlwe = client_key.sk_rlwe();
 598            let sk_lwe = client_key.sk_lwe();
 599
 600            let g = self.pbs_info.parameters.g();
 601            let ring_size = self.pbs_info.parameters.rlwe_n().0;
 602            let rlwe_q = self.pbs_info.parameters.rlwe_q();
 603            let lwe_q = self.pbs_info.parameters.lwe_q();
 604
 605            let rlweq_modop = &self.pbs_info.rlwe_modop;
 606            let rlweq_nttop = &self.pbs_info.rlwe_nttop;
 607
 608            // sanity check
 609            assert!(sk_rlwe.values().len() == ring_size);
 610            assert!(sk_lwe.values().len() == self.pbs_info.parameters.lwe_n().0);
 611
 612            // auto keys
 613            let mut auto_keys = HashMap::new();
 614            let auto_gadget = self.pbs_info.auto_decomposer.gadget_vector();
 615            let auto_element_dlogs = self.pbs_info.parameters.auto_element_dlogs();
 616            let br_q = self.pbs_info.parameters.br_q();
 617            for i in auto_element_dlogs.into_iter() {
 618                let g_pow = if i == 0 {
 619                    -(g as isize)
 620                } else {
 621                    (g.pow(i as u32) % br_q) as isize
 622                };
 623
 624                let mut ksk_out = M::zeros(
 625                    self.pbs_info.auto_decomposer.decomposition_count(),
 626                    ring_size,
 627                );
 628                galois_key_gen(
 629                    &mut ksk_out,
 630                    sk_rlwe.values(),
 631                    g_pow,
 632                    &auto_gadget,
 633                    rlweq_modop,
 634                    rlweq_nttop,
 635                    &mut main_prng,
 636                    rng,
 637                );
 638                auto_keys.insert(i, ksk_out);
 639            }
 640
 641            // rgsw ciphertexts of lwe secret elements
 642            let rgsw_rgsw_decomposer = self
 643                .pbs_info
 644                .parameters
 645                .rgsw_rgsw_decomposer::<DefaultDecomposer<M::MatElement>>();
 646            let (rgrg_d_a, rgrg_d_b) = (
 647                rgsw_rgsw_decomposer.0.decomposition_count(),
 648                rgsw_rgsw_decomposer.1.decomposition_count(),
 649            );
 650            let (rgrg_gadget_a, rgrg_gadget_b) = (
 651                rgsw_rgsw_decomposer.0.gadget_vector(),
 652                rgsw_rgsw_decomposer.1.gadget_vector(),
 653            );
 654            let rgsw_cts = sk_lwe
 655                .values()
 656                .iter()
 657                .map(|si| {
 658                    let mut m = M::R::zeros(ring_size);
 659                    //TODO(Jay): It will be nice to have a function that returns polynomial
 660                    // (monomial infact!) corresponding to secret element embedded in ring X^{2N+1}.
 661                    // Save lots of mistakes where one forgest to emebed si in bigger ring.
 662                    let si = *si * (self.pbs_info.embedding_factor as i32);
 663                    if si < 0 {
 664                        // X^{-si} = X^{2N-si} = -X^{N-si}, assuming abs(si) < N
 665                        // (which it is given si is secret element)
 666                        m.as_mut()[ring_size - (si.abs() as usize)] = rlwe_q.neg_one();
 667                    } else {
 668                        m.as_mut()[si as usize] = M::MatElement::one();
 669                    }
 670
 671                    // public key RGSW encryption has no part that can be seeded, unlike secret key
 672                    // RGSW encryption where RLWE'_A(m) is seeded
 673                    let mut out_rgsw = M::zeros(rgrg_d_a * 2 + rgrg_d_b * 2, ring_size);
 674                    public_key_encrypt_rgsw(
 675                        &mut out_rgsw,
 676                        &m.as_ref(),
 677                        collective_pk,
 678                        &rgrg_gadget_a,
 679                        &rgrg_gadget_b,
 680                        rlweq_modop,
 681                        rlweq_nttop,
 682                        rng,
 683                    );
 684
 685                    out_rgsw
 686                })
 687                .collect_vec();
 688
 689            // LWE ksk
 690            let mut lwe_ksk =
 691                M::R::zeros(self.pbs_info.lwe_decomposer.decomposition_count() * ring_size);
 692            let lwe_modop = &self.pbs_info.lwe_modop;
 693            let d_lwe_gadget_vec = self.pbs_info.lwe_decomposer.gadget_vector();
 694            lwe_ksk_keygen(
 695                sk_rlwe.values(),
 696                sk_lwe.values(),
 697                &mut lwe_ksk,
 698                &d_lwe_gadget_vec,
 699                lwe_modop,
 700                &mut main_prng,
 701                rng,
 702            );
 703
 704            CommonReferenceSeededMultiPartyServerKeyShare::new(
 705                rgsw_cts,
 706                auto_keys,
 707                lwe_ksk,
 708                cr_seed,
 709                self.pbs_info.parameters.clone(),
 710            )
 711        })
 712    }
 713
 714    pub(super) fn multi_party_public_key_share(
 715        &self,
 716        cr_seed: [u8; 32],
 717        client_key: &ClientKey,
 718    ) -> CommonReferenceSeededCollectivePublicKeyShare<
 719        <M as Matrix>::R,
 720        [u8; 32],
 721        BoolParameters<<M as Matrix>::MatElement>,
 722    > {
 723        DefaultSecureRng::with_local_mut(|rng| {
 724            let mut share_out = M::R::zeros(self.pbs_info.parameters.rlwe_n().0);
 725            let modop = &self.pbs_info.rlwe_modop;
 726            let nttop = &self.pbs_info.rlwe_nttop;
 727            let mut main_prng = DefaultSecureRng::new_seeded(cr_seed);
 728            public_key_share(
 729                &mut share_out,
 730                client_key.sk_rlwe().values(),
 731                modop,
 732                nttop,
 733                &mut main_prng,
 734                rng,
 735            );
 736            CommonReferenceSeededCollectivePublicKeyShare::new(
 737                share_out,
 738                cr_seed,
 739                self.pbs_info.parameters.clone(),
 740            )
 741        })
 742    }
 743
 744    pub(super) fn multi_party_decryption_share(
 745        &self,
 746        lwe_ct: &M::R,
 747        client_key: &ClientKey,
 748    ) -> <M as Matrix>::MatElement {
 749        assert!(lwe_ct.as_ref().len() == self.pbs_info.parameters.rlwe_n().0 + 1);
 750        let modop = &self.pbs_info.rlwe_modop;
 751        let mut neg_s = M::R::try_convert_from(
 752            client_key.sk_rlwe().values(),
 753            &self.pbs_info.parameters.rlwe_q(),
 754        );
 755        modop.elwise_neg_mut(neg_s.as_mut());
 756
 757        let mut neg_sa = M::MatElement::zero();
 758        izip!(lwe_ct.as_ref().iter().skip(1), neg_s.as_ref().iter()).for_each(|(ai, nsi)| {
 759            neg_sa = modop.add(&neg_sa, &modop.mul(ai, nsi));
 760        });
 761
 762        let e = DefaultSecureRng::with_local_mut(|rng| {
 763            let mut e =
 764                RandomGaussianElementInModulus::random(rng, self.pbs_info.parameters.rlwe_q());
 765            e
 766        });
 767        let share = modop.add(&neg_sa, &e);
 768
 769        share
 770    }
 771
 772    pub(crate) fn multi_party_decrypt(&self, shares: &[M::MatElement], lwe_ct: &M::R) -> bool {
 773        let modop = &self.pbs_info.rlwe_modop;
 774        let mut sum_a = M::MatElement::zero();
 775        shares
 776            .iter()
 777            .for_each(|share_i| sum_a = modop.add(&sum_a, &share_i));
 778
 779        let encoded_m = modop.add(&lwe_ct.as_ref()[0], &sum_a);
 780        self.pbs_info.parameters.rlwe_q().decode(encoded_m)
 781    }
 782
 783    pub(crate) fn pk_encrypt(&self, pk: &M, m: bool) -> M::R {
 784        self.pk_encrypt_batched(pk, &vec![m]).remove(0)
 785    }
 786
 787    /// Encrypts a batch booleans as multiple LWE ciphertexts.
 788    ///
 789    /// For public key encryption we first encrypt `m` as a RLWE ciphertext and
 790    /// then sample extract LWE samples at required indices.
 791    ///
 792    /// - TODO(Jay:) Communication can be improved by not sample exctracting and
 793    ///   instead just truncate degree 0 values (part Bs)
 794    pub(crate) fn pk_encrypt_batched(&self, pk: &M, m: &[bool]) -> Vec<M::R> {
 795        DefaultSecureRng::with_local_mut(|rng| {
 796            let ring_size = self.pbs_info.parameters.rlwe_n().0;
 797            assert!(
 798                m.len() <= ring_size,
 799                "Cannot batch encrypt > ring_size{ring_size} elements at once"
 800            );
 801
 802            let modop = &self.pbs_info.rlwe_modop;
 803            let nttop = &self.pbs_info.rlwe_nttop;
 804
 805            // RLWE(0)
 806            // sample ephemeral key u
 807            let mut u = vec![0i32; ring_size];
 808            fill_random_ternary_secret_with_hamming_weight(u.as_mut(), ring_size >> 1, rng);
 809            let mut u = M::R::try_convert_from(&u, &self.pbs_info.parameters.rlwe_q());
 810            nttop.forward(u.as_mut());
 811
 812            let mut ua = M::R::zeros(ring_size);
 813            ua.as_mut().copy_from_slice(pk.get_row_slice(0));
 814            let mut ub = M::R::zeros(ring_size);
 815            ub.as_mut().copy_from_slice(pk.get_row_slice(1));
 816
 817            // a*u
 818            nttop.forward(ua.as_mut());
 819            modop.elwise_mul_mut(ua.as_mut(), u.as_ref());
 820            nttop.backward(ua.as_mut());
 821
 822            // b*u
 823            nttop.forward(ub.as_mut());
 824            modop.elwise_mul_mut(ub.as_mut(), u.as_ref());
 825            nttop.backward(ub.as_mut());
 826
 827            let mut rlwe = M::zeros(2, ring_size);
 828            // sample error
 829            rlwe.iter_rows_mut().for_each(|ri| {
 830                RandomFillGaussianInModulus::<[M::MatElement], CiphertextModulus<M::MatElement>>::random_fill(
 831                    rng,
 832                    &self.pbs_info.parameters.rlwe_q(),
 833                    ri.as_mut(),
 834                );
 835            });
 836
 837            // a*u + e0
 838            modop.elwise_add_mut(rlwe.get_row_mut(0), ua.as_ref());
 839            // b*u + e1
 840            modop.elwise_add_mut(rlwe.get_row_mut(1), ub.as_ref());
 841
 842            //FIXME(Jay): Figure out a way to get Q/8 form modulus
 843            let mut m_vec = M::R::zeros(ring_size);
 844            izip!(m_vec.as_mut().iter_mut(), m.iter()).for_each(|(m_el, m_bool)| {
 845                if *m_bool {
 846                    // Q/8
 847                    *m_el = self.pbs_info.rlwe_q().true_el()
 848                } else {
 849                    // -Q/8
 850                    *m_el = self.pbs_info.rlwe_q().false_el()
 851                }
 852            });
 853
 854            // b*u + e1 + m
 855            modop.elwise_add_mut(rlwe.get_row_mut(1), m_vec.as_ref());
 856            // rlwe.set(1, 0, modop.add(rlwe.get(1, 0), &m));
 857
 858            // sample extract index required indices
 859            let samples = m.len();
 860            (0..samples)
 861                .into_iter()
 862                .map(|i| {
 863                    let mut lwe_out = M::R::zeros(ring_size + 1);
 864                    sample_extract(&mut lwe_out, &rlwe, modop, i);
 865                    lwe_out
 866                })
 867                .collect_vec()
 868        })
 869    }
 870
 871    /// TODO(Jay): Fetch client key from thread local
 872    pub fn sk_encrypt(&self, m: bool, client_key: &ClientKey) -> M::R {
 873        //FIXME(Jay): Figure out a way to get Q/8 form modulus
 874        let m = if m {
 875            // Q/8
 876            self.pbs_info.rlwe_q().true_el()
 877        } else {
 878            // -Q/8
 879            self.pbs_info.rlwe_q().false_el()
 880        };
 881
 882        DefaultSecureRng::with_local_mut(|rng| {
 883            let mut lwe_out = M::R::zeros(self.pbs_info.parameters.rlwe_n().0 + 1);
 884            encrypt_lwe(
 885                &mut lwe_out,
 886                &m,
 887                client_key.sk_rlwe().values(),
 888                &self.pbs_info.rlwe_modop,
 889                rng,
 890            );
 891            lwe_out
 892        })
 893    }
 894
 895    pub fn sk_decrypt(&self, lwe_ct: &M::R, client_key: &ClientKey) -> bool {
 896        let m = decrypt_lwe(
 897            lwe_ct,
 898            client_key.sk_rlwe().values(),
 899            &self.pbs_info.rlwe_modop,
 900        );
 901        self.pbs_info.rlwe_q().decode(m)
 902    }
 903
 904    pub(super) fn aggregate_multi_party_server_key_shares<S>(
 905        &self,
 906        shares: &[CommonReferenceSeededMultiPartyServerKeyShare<
 907            M,
 908            BoolParameters<M::MatElement>,
 909            S,
 910        >],
 911    ) -> SeededMultiPartyServerKey<M, S, BoolParameters<M::MatElement>>
 912    where
 913        S: PartialEq + Clone,
 914        M: Clone,
 915    {
 916        assert!(shares.len() > 0);
 917        let parameters = shares[0].parameters().clone();
 918        let cr_seed = shares[0].cr_seed();
 919
 920        let rlwe_n = parameters.rlwe_n().0;
 921        let g = parameters.g() as isize;
 922        let rlwe_q = parameters.rlwe_q();
 923        let lwe_q = parameters.lwe_q();
 924
 925        // sanity checks
 926        shares.iter().skip(1).for_each(|s| {
 927            assert!(s.parameters() == &parameters);
 928            assert!(s.cr_seed() == cr_seed);
 929        });
 930
 931        let rlweq_modop = &self.pbs_info.rlwe_modop;
 932        let rlweq_nttop = &self.pbs_info.rlwe_nttop;
 933
 934        // auto keys
 935        let mut auto_keys = HashMap::new();
 936        let auto_elements_dlog = parameters.auto_element_dlogs();
 937        for i in auto_elements_dlog.into_iter() {
 938            let mut key = M::zeros(parameters.auto_decomposition_count().0, rlwe_n);
 939
 940            shares.iter().for_each(|s| {
 941                let auto_key_share_i = s.auto_keys().get(&i).expect("Auto key {i} missing");
 942                assert!(
 943                    auto_key_share_i.dimension()
 944                        == (parameters.auto_decomposition_count().0, rlwe_n)
 945                );
 946                izip!(key.iter_rows_mut(), auto_key_share_i.iter_rows()).for_each(
 947                    |(partb_out, partb_share)| {
 948                        rlweq_modop.elwise_add_mut(partb_out.as_mut(), partb_share.as_ref());
 949                    },
 950                );
 951            });
 952
 953            auto_keys.insert(i, key);
 954        }
 955
 956        // rgsw ciphertext (most expensive part!)
 957        let lwe_n = parameters.lwe_n().0;
 958        let rgsw_by_rgsw_decomposer =
 959            parameters.rgsw_rgsw_decomposer::<DefaultDecomposer<M::MatElement>>();
 960        let mut scratch_matrix = M::zeros(
 961            std::cmp::max(
 962                rgsw_by_rgsw_decomposer.a().decomposition_count(),
 963                rgsw_by_rgsw_decomposer.b().decomposition_count(),
 964            ) + (rgsw_by_rgsw_decomposer.a().decomposition_count() * 2
 965                + rgsw_by_rgsw_decomposer.b().decomposition_count() * 2),
 966            rlwe_n,
 967        );
 968
 969        let mut tmp_rgsw =
 970            RgswCiphertext::<M, _>::empty(rlwe_n, &rgsw_by_rgsw_decomposer, rlwe_q.clone()).data;
 971        let rgsw_cts = (0..lwe_n).into_iter().map(|index| {
 972            // copy over rgsw ciphertext for index^th secret element from first share and
 973            // treat it as accumulating rgsw ciphertext
 974            let mut rgsw_i = shares[0].rgsw_cts()[index].clone();
 975
 976            shares.iter().skip(1).for_each(|si| {
 977                // copy over si's RGSW[index] ciphertext and send to evaluation domain
 978                izip!(tmp_rgsw.iter_rows_mut(), si.rgsw_cts()[index].iter_rows()).for_each(
 979                    |(to_ri, from_ri)| {
 980                        to_ri.as_mut().copy_from_slice(from_ri.as_ref());
 981                        rlweq_nttop.forward(to_ri.as_mut())
 982                    },
 983                );
 984
 985                rgsw_by_rgsw_inplace(
 986                    &mut rgsw_i,
 987                    &tmp_rgsw,
 988                    &rgsw_by_rgsw_decomposer,
 989                    &mut scratch_matrix,
 990                    rlweq_nttop,
 991                    rlweq_modop,
 992                );
 993            });
 994
 995            rgsw_i
 996        });
 997        // d_a and d_b may differ for RGSWxRGSW multiplication and RLWExRGSW
 998        // multiplication. After this point RGSW ciphertexts will only be used for
 999        // RLWExRGSW multiplication (in blind rotation). Thus we drop any additional
1000        // RLWE ciphertexts in RGSW ciphertexts after RGSw x RGSW multiplication
1001        let (rgswrgsw_d_a, rgswrgsw_d_b) = self.pbs_info.parameters.rgsw_rgsw_decomposition_count();
1002        let (rlrg_d_a, rlrg_d_b) = self.pbs_info.parameters.rlwe_rgsw_decomposition_count();
1003        let rgsw_ct_rows_in = rgswrgsw_d_a.0 * 2 + rgswrgsw_d_b.0 * 2;
1004        let rgsw_ct_rows_out = rlrg_d_a.0 * 2 + rlrg_d_b.0 * 2;
1005        assert!(rgswrgsw_d_a.0 >= rlrg_d_a.0, "RGSWxRGSW part A decomposition count {} must be >= RLWExRGSW part A decomposition count {}", rgswrgsw_d_a.0 , rlrg_d_a.0);
1006        assert!(rgswrgsw_d_b.0 >= rlrg_d_b.0, "RGSWxRGSW part B decomposition count {} must be >= RLWExRGSW part B decomposition count {}", rgswrgsw_d_b.0 , rlrg_d_b.0);
1007        let rgsw_cts = rgsw_cts
1008            .map(|ct_i_in| {
1009                assert!(ct_i_in.dimension() == (rgsw_ct_rows_in, rlwe_n));
1010                let mut reduced_ct_i_out = M::zeros(rgsw_ct_rows_out, rlwe_n);
1011
1012                // RLWE'(-sm) part A
1013                izip!(
1014                    reduced_ct_i_out.iter_rows_mut().take(rlrg_d_a.0),
1015                    ct_i_in
1016                        .iter_rows()
1017                        .skip(rgswrgsw_d_a.0 - rlrg_d_a.0)
1018                        .take(rlrg_d_a.0)
1019                )
1020                .for_each(|(to_ri, from_ri)| {
1021                    to_ri.as_mut().copy_from_slice(from_ri.as_ref());
1022                });
1023
1024                // RLWE'(-sm) part B
1025                izip!(
1026                    reduced_ct_i_out
1027                        .iter_rows_mut()
1028                        .skip(rlrg_d_a.0)
1029                        .take(rlrg_d_a.0),
1030                    ct_i_in
1031                        .iter_rows()
1032                        .skip(rgswrgsw_d_a.0 + (rgswrgsw_d_a.0 - rlrg_d_a.0))
1033                        .take(rlrg_d_a.0)
1034                )
1035                .for_each(|(to_ri, from_ri)| {
1036                    to_ri.as_mut().copy_from_slice(from_ri.as_ref());
1037                });
1038
1039                // RLWE'(m) Part A
1040                izip!(
1041                    reduced_ct_i_out
1042                        .iter_rows_mut()
1043                        .skip(rlrg_d_a.0 * 2)
1044                        .take(rlrg_d_b.0),
1045                    ct_i_in
1046                        .iter_rows()
1047                        .skip(rgswrgsw_d_a.0 * 2 + (rgswrgsw_d_b.0 - rlrg_d_b.0))
1048                        .take(rlrg_d_b.0)
1049                )
1050                .for_each(|(to_ri, from_ri)| {
1051                    to_ri.as_mut().copy_from_slice(from_ri.as_ref());
1052                });
1053
1054                // RLWE'(m) Part B
1055                izip!(
1056                    reduced_ct_i_out
1057                        .iter_rows_mut()
1058                        .skip(rlrg_d_a.0 * 2 + rlrg_d_b.0)
1059                        .take(rlrg_d_b.0),
1060                    ct_i_in
1061                        .iter_rows()
1062                        .skip(rgswrgsw_d_a.0 * 2 + rgswrgsw_d_b.0 + (rgswrgsw_d_b.0 - rlrg_d_b.0))
1063                        .take(rlrg_d_b.0)
1064                )
1065                .for_each(|(to_ri, from_ri)| {
1066                    to_ri.as_mut().copy_from_slice(from_ri.as_ref());
1067                });
1068
1069                reduced_ct_i_out
1070            })
1071            .collect_vec();
1072
1073        // LWE ksks
1074        let mut lwe_ksk = M::R::zeros(rlwe_n * parameters.lwe_decomposition_count().0);
1075        let lweq_modop = &self.pbs_info.lwe_modop;
1076        shares.iter().for_each(|si| {
1077            assert!(si.lwe_ksk().as_ref().len() == rlwe_n * parameters.lwe_decomposition_count().0);
1078            lweq_modop.elwise_add_mut(lwe_ksk.as_mut(), si.lwe_ksk().as_ref())
1079        });
1080
1081        SeededMultiPartyServerKey::new(rgsw_cts, auto_keys, lwe_ksk, cr_seed.clone(), parameters)
1082    }
1083}
1084
1085impl<M, NttOp, RlweModOp, LweModOp> BoolEvaluator<M, NttOp, RlweModOp, LweModOp>
1086where
1087    M: MatrixMut + MatrixEntity,
1088    M::R: RowMut + RowEntity,
1089    M::MatElement: PrimInt + FromPrimitive + One + Copy + Zero + Display + WrappingSub + NumInfo,
1090    RlweModOp: VectorOps<Element = M::MatElement> + ArithmeticOps<Element = M::MatElement>,
1091    LweModOp: VectorOps<Element = M::MatElement> + ArithmeticOps<Element = M::MatElement>,
1092    NttOp: Ntt<Element = M::MatElement>,
1093{
1094    /// Returns c0 + c1 + Q/4
1095    fn _add_and_shift_lwe_cts(&self, c0: &mut M::R, c1: &M::R) {
1096        let modop = &self.pbs_info.rlwe_modop;
1097        modop.elwise_add_mut(c0.as_mut(), c1.as_ref());
1098        // +Q/4
1099        c0.as_mut()[0] = modop.add(&c0.as_ref()[0], &self.pbs_info.rlwe_qby4);
1100    }
1101
1102    /// Returns 2(c0 - c1) + Q/4
1103    fn _subtract_double_lwe_cts(&self, c0: &mut M::R, c1: &M::R) {
1104        let modop = &self.pbs_info.rlwe_modop;
1105        // c0 - c1
1106        modop.elwise_sub_mut(c0.as_mut(), c1.as_ref());
1107
1108        // double
1109        c0.as_mut().iter_mut().for_each(|v| *v = modop.add(v, v));
1110    }
1111}
1112
1113impl<M, NttOp, RlweModOp, LweModOp> BooleanGates for BoolEvaluator<M, NttOp, RlweModOp, LweModOp>
1114where
1115    M: MatrixMut + MatrixEntity,
1116    M::R: RowMut + RowEntity + Clone,
1117    M::MatElement:
1118        PrimInt + FromPrimitive + One + Copy + Zero + Display + WrappingSub + NumInfo + From<bool>,
1119    RlweModOp: VectorOps<Element = M::MatElement>
1120        + ArithmeticOps<Element = M::MatElement>
1121        + ShoupMatrixFMA<M::R>,
1122    LweModOp: VectorOps<Element = M::MatElement> + ArithmeticOps<Element = M::MatElement>,
1123    NttOp: Ntt<Element = M::MatElement>,
1124{
1125    type Ciphertext = M::R;
1126    type Key = Key;
1127
1128    fn nand_inplace(&mut self, c0: &mut M::R, c1: &M::R, server_key: &Self::Key) {
1129        self._add_and_shift_lwe_cts(c0, c1);
1130
1131        // PBS
1132        pbs(
1133            &self.pbs_info,
1134            &self.nand_test_vec,
1135            c0,
1136            server_key,
1137            &mut self.scratch_memory.lwe_vector,
1138            &mut self.scratch_memory.decomposition_matrix,
1139        );
1140    }
1141
1142    fn and_inplace(&mut self, c0: &mut M::R, c1: &M::R, server_key: &Self::Key) {
1143        self._add_and_shift_lwe_cts(c0, c1);
1144
1145        // PBS
1146        pbs(
1147            &self.pbs_info,
1148            &self.and_test_vec,
1149            c0,
1150            server_key,
1151            &mut self.scratch_memory.lwe_vector,
1152            &mut self.scratch_memory.decomposition_matrix,
1153        );
1154    }
1155
1156    fn or_inplace(&mut self, c0: &mut M::R, c1: &M::R, server_key: &Self::Key) {
1157        self._add_and_shift_lwe_cts(c0, c1);
1158
1159        // PBS
1160        pbs(
1161            &self.pbs_info,
1162            &self.or_test_vec,
1163            c0,
1164            server_key,
1165            &mut self.scratch_memory.lwe_vector,
1166            &mut self.scratch_memory.decomposition_matrix,
1167        );
1168    }
1169
1170    fn nor_inplace(&mut self, c0: &mut M::R, c1: &M::R, server_key: &Self::Key) {
1171        self._add_and_shift_lwe_cts(c0, c1);
1172
1173        // PBS
1174        pbs(
1175            &self.pbs_info,
1176            &self.nor_test_vec,
1177            c0,
1178            server_key,
1179            &mut self.scratch_memory.lwe_vector,
1180            &mut self.scratch_memory.decomposition_matrix,
1181        )
1182    }
1183
1184    fn xor_inplace(&mut self, c0: &mut M::R, c1: &M::R, server_key: &Self::Key) {
1185        self._subtract_double_lwe_cts(c0, c1);
1186
1187        // PBS
1188        pbs(
1189            &self.pbs_info,
1190            &self.xor_test_vec,
1191            c0,
1192            server_key,
1193            &mut self.scratch_memory.lwe_vector,
1194            &mut self.scratch_memory.decomposition_matrix,
1195        );
1196    }
1197
1198    fn xnor_inplace(&mut self, c0: &mut M::R, c1: &M::R, server_key: &Self::Key) {
1199        self._subtract_double_lwe_cts(c0, c1);
1200
1201        // PBS
1202        pbs(
1203            &self.pbs_info,
1204            &self.xnor_test_vec,
1205            c0,
1206            server_key,
1207            &mut self.scratch_memory.lwe_vector,
1208            &mut self.scratch_memory.decomposition_matrix,
1209        );
1210    }
1211
1212    fn not_inplace(&mut self, c0: &mut M::R) {
1213        let modop = &self.pbs_info.rlwe_modop;
1214        c0.as_mut().iter_mut().for_each(|v| *v = modop.neg(v));
1215    }
1216
1217    fn and(
1218        &mut self,
1219        c0: &Self::Ciphertext,
1220        c1: &Self::Ciphertext,
1221        key: &Self::Key,
1222    ) -> Self::Ciphertext {
1223        let mut out = c0.clone();
1224        self.and_inplace(&mut out, c1, key);
1225        out
1226    }
1227
1228    fn nand(
1229        &mut self,
1230        c0: &Self::Ciphertext,
1231        c1: &Self::Ciphertext,
1232        key: &Self::Key,
1233    ) -> Self::Ciphertext {
1234        let mut out = c0.clone();
1235        self.nand_inplace(&mut out, c1, key);
1236        out
1237    }
1238
1239    fn or(
1240        &mut self,
1241        c0: &Self::Ciphertext,
1242        c1: &Self::Ciphertext,
1243        key: &Self::Key,
1244    ) -> Self::Ciphertext {
1245        let mut out = c0.clone();
1246        self.or_inplace(&mut out, c1, key);
1247        out
1248    }
1249
1250    fn nor(
1251        &mut self,
1252        c0: &Self::Ciphertext,
1253        c1: &Self::Ciphertext,
1254        key: &Self::Key,
1255    ) -> Self::Ciphertext {
1256        let mut out = c0.clone();
1257        self.nor_inplace(&mut out, c1, key);
1258        out
1259    }
1260
1261    fn xnor(
1262        &mut self,
1263        c0: &Self::Ciphertext,
1264        c1: &Self::Ciphertext,
1265        key: &Self::Key,
1266    ) -> Self::Ciphertext {
1267        let mut out = c0.clone();
1268        self.xnor_inplace(&mut out, c1, key);
1269        out
1270    }
1271
1272    fn xor(
1273        &mut self,
1274        c0: &Self::Ciphertext,
1275        c1: &Self::Ciphertext,
1276        key: &Self::Key,
1277    ) -> Self::Ciphertext {
1278        let mut out = c0.clone();
1279        self.xor_inplace(&mut out, c1, key);
1280        out
1281    }
1282
1283    fn not(&mut self, c: &Self::Ciphertext) -> Self::Ciphertext {
1284        let mut out = c.clone();
1285        self.not_inplace(&mut out);
1286        out
1287    }
1288}
1289
1290// #[cfg(test)]
1291// mod tests {
1292//     use bool::parameters::{MP_BOOL_PARAMS, SP_BOOL_PARAMS};
1293//     use rand::{thread_rng, Rng};
1294//     use rand_distr::Uniform;
1295
1296//     use crate::{
1297//         backend::{GetModulus, ModInit, ModularOpsU64, WordSizeModulus},
1298//         bool::{
1299//             self, CommonReferenceSeededMultiPartyServerKeyShare, PublicKey,
1300//             SeededMultiPartyServerKey,
1301//         },
1302//         ntt::NttBackendU64,
1303//         random::{RandomElementInModulus, DEFAULT_RNG},
1304//         rgsw::{
1305//             self, measure_noise, public_key_encrypt_rlwe,
1306// secret_key_encrypt_rlwe,             tests::{_measure_noise_rgsw,
1307// _sk_encrypt_rlwe},             RgswCiphertext,
1308// RgswCiphertextEvaluationDomain, SeededRgswCiphertext,
1309// SeededRlweCiphertext,         },
1310//         utils::{negacyclic_mul, Stats},
1311//     };
1312
1313//     use super::*;
1314
1315//     #[test]
1316//     fn bool_encrypt_decrypt_works() {
1317//         let bool_evaluator = BoolEvaluator::<
1318//             Vec<Vec<u64>>,
1319//             NttBackendU64,
1320//             ModularOpsU64<CiphertextModulus<u64>>,
1321//             ModularOpsU64<CiphertextModulus<u64>>,
1322//         >::new(SP_BOOL_PARAMS);
1323//         let client_key = bool_evaluator.client_key();
1324
1325//         let mut m = true;
1326//         for _ in 0..1000 {
1327//             let lwe_ct = bool_evaluator.sk_encrypt(m, &client_key);
1328//             let m_back = bool_evaluator.sk_decrypt(&lwe_ct, &client_key);
1329//             assert_eq!(m, m_back);
1330//             m = !m;
1331//         }
1332//     }
1333
1334//     #[test]
1335//     fn bool_nand() {
1336//         let mut bool_evaluator = BoolEvaluator::<
1337//             Vec<Vec<u64>>,
1338//             NttBackendU64,
1339//             ModularOpsU64<CiphertextModulus<u64>>,
1340//             ModularOpsU64<CiphertextModulus<u64>>,
1341//         >::new(SP_BOOL_PARAMS);
1342
1343//         // println!("{:?}", bool_evaluator.nand_test_vec);
1344//         let client_key = bool_evaluator.client_key();
1345//         let seeded_server_key = bool_evaluator.server_key(&client_key);
1346//         let server_key_eval_domain =
1347//             ServerKeyEvaluationDomain::<_, DefaultSecureRng,
1348// NttBackendU64>::from(                 &seeded_server_key,
1349//             );
1350
1351//         let mut m0 = false;
1352//         let mut m1 = true;
1353
1354//         let mut ct0 = bool_evaluator.sk_encrypt(m0, &client_key);
1355//         let mut ct1 = bool_evaluator.sk_encrypt(m1, &client_key);
1356
1357//         for _ in 0..500 {
1358//             let ct_back = bool_evaluator.nand(&ct0, &ct1,
1359// &server_key_eval_domain);
1360
1361//             let m_out = !(m0 && m1);
1362
1363//             let m_back = bool_evaluator.sk_decrypt(&ct_back, &client_key);
1364//             assert!(m_out == m_back, "Expected {m_out}, got {m_back}");
1365
1366//             m1 = m0;
1367//             m0 = m_out;
1368
1369//             ct1 = ct0;
1370//             ct0 = ct_back;
1371//         }
1372//     }
1373
1374//     #[test]
1375//     fn bool_xor() {
1376//         let mut bool_evaluator = BoolEvaluator::<
1377//             Vec<Vec<u64>>,
1378//             NttBackendU64,
1379//             ModularOpsU64<CiphertextModulus<u64>>,
1380//             ModularOpsU64<CiphertextModulus<u64>>,
1381//         >::new(SP_BOOL_PARAMS);
1382
1383//         // println!("{:?}", bool_evaluator.nand_test_vec);
1384//         let client_key = bool_evaluator.client_key();
1385//         let seeded_server_key = bool_evaluator.server_key(&client_key);
1386//         let server_key_eval_domain =
1387//             ServerKeyEvaluationDomain::<_, DefaultSecureRng,
1388// NttBackendU64>::from(                 &seeded_server_key,
1389//             );
1390
1391//         let mut m0 = false;
1392//         let mut m1 = true;
1393
1394//         let mut ct0 = bool_evaluator.sk_encrypt(m0, &client_key);
1395//         let mut ct1 = bool_evaluator.sk_encrypt(m1, &client_key);
1396
1397//         for _ in 0..1000 {
1398//             let ct_back = bool_evaluator.xor(&ct0, &ct1,
1399// &server_key_eval_domain);             let m_out = (m0 ^ m1);
1400
1401//             let m_back = bool_evaluator.sk_decrypt(&ct_back, &client_key);
1402//             assert!(m_out == m_back, "Expected {m_out}, got {m_back}");
1403
1404//             m1 = m0;
1405//             m0 = m_out;
1406
1407//             ct1 = ct0;
1408//             ct0 = ct_back;
1409//         }
1410//     }
1411
1412//     #[test]
1413//     fn multi_party_encryption_decryption() {
1414//         let bool_evaluator = BoolEvaluator::<
1415//             Vec<Vec<u64>>,
1416//             NttBackendU64,
1417//             ModularOpsU64<CiphertextModulus<u64>>,
1418//             ModularOpsU64<CiphertextModulus<u64>>,
1419//         >::new(MP_BOOL_PARAMS);
1420
1421//         let no_of_parties = 500;
1422//         let parties = (0..no_of_parties)
1423//             .map(|_| bool_evaluator.client_key())
1424//             .collect_vec();
1425
1426//         let mut ideal_rlwe_sk = vec![0i32; bool_evaluator.pbs_info.rlwe_n()];
1427//         parties.iter().for_each(|k| {
1428//             izip!(ideal_rlwe_sk.iter_mut(),
1429// k.sk_rlwe().values()).for_each(|(ideal_i, s_i)| {                 *ideal_i =
1430// *ideal_i + s_i;             });
1431//         });
1432
1433//         let mut m = true;
1434//         for i in 0..100 {
1435//             let pk_cr_seed = [0u8; 32];
1436
1437//             let public_key_share = parties
1438//                 .iter()
1439//                 .map(|k|
1440// bool_evaluator.multi_party_public_key_share(pk_cr_seed, k))
1441// .collect_vec();
1442
1443//             let collective_pk = PublicKey::<
1444//                 Vec<Vec<u64>>,
1445//                 DefaultSecureRng,
1446//                 ModularOpsU64<CiphertextModulus<u64>>,
1447//             >::from(public_key_share.as_slice());
1448//             let lwe_ct = bool_evaluator.pk_encrypt(collective_pk.key(), m);
1449
1450//             let decryption_shares = parties
1451//                 .iter()
1452//                 .map(|k| bool_evaluator.multi_party_decryption_share(&lwe_ct,
1453// k))                 .collect_vec();
1454
1455//             let m_back =
1456// bool_evaluator.multi_party_decrypt(&decryption_shares, &lwe_ct);
1457
1458//             {
1459//                 let ideal_m = if m {
1460//                     bool_evaluator.pbs_info.parameters.rlwe_q().true_el()
1461//                 } else {
1462//                     bool_evaluator.pbs_info.parameters.rlwe_q().false_el()
1463//                 };
1464//                 let noise = measure_noise_lwe(
1465//                     &lwe_ct,
1466//                     &ideal_rlwe_sk,
1467//                     &bool_evaluator.pbs_info.rlwe_modop,
1468//                     &ideal_m,
1469//                 );
1470//                 println!("Noise: {noise}");
1471//             }
1472
1473//             assert_eq!(m_back, m);
1474//             m = !m;
1475//         }
1476//     }
1477
1478//     fn _collecitve_public_key_gen(rlwe_q: u64, parties_rlwe_sk:
1479// &[RlweSecret]) -> Vec<Vec<u64>> {         let ring_size =
1480// parties_rlwe_sk[0].values.len();         assert!(ring_size.
1481// is_power_of_two());         let mut rng = DefaultSecureRng::new();
1482//         let nttop = NttBackendU64::new(&rlwe_q, ring_size);
1483//         let modop = ModularOpsU64::new(rlwe_q);
1484
1485//         // Generate Pk shares
1486//         let pk_seed = [0u8; 32];
1487//         let pk_shares = parties_rlwe_sk.iter().map(|sk| {
1488//             let mut p_rng = DefaultSecureRng::new_seeded(pk_seed);
1489//             let mut share_out = vec![0u64; ring_size];
1490//             public_key_share(
1491//                 &mut share_out,
1492//                 sk.values(),
1493//                 &modop,
1494//                 &nttop,
1495//                 &mut p_rng,
1496//                 &mut rng,
1497//             );
1498//             share_out
1499//         });
1500
1501//         let mut pk_part_b = vec![0u64; ring_size];
1502//         pk_shares.for_each(|share| modop.elwise_add_mut(&mut pk_part_b,
1503// &share));         let mut pk_part_a = vec![0u64; ring_size];
1504//         let mut p_rng = DefaultSecureRng::new_seeded(pk_seed);
1505//         RandomFillUniformInModulus::random_fill(&mut p_rng, &rlwe_q,
1506// pk_part_a.as_mut_slice());
1507
1508//         vec![pk_part_a, pk_part_b]
1509//     }
1510
1511//     fn _multi_party_all_keygen(
1512//         bool_evaluator: &BoolEvaluator<
1513//             Vec<Vec<u64>>,
1514//             NttBackendU64,
1515//             ModularOpsU64<CiphertextModulus<u64>>,
1516//             ModularOpsU64<CiphertextModulus<u64>>,
1517//         >,
1518//         no_of_parties: usize,
1519//     ) -> (
1520//         Vec<ClientKey>,
1521//         PublicKey<Vec<Vec<u64>>, DefaultSecureRng,
1522// ModularOpsU64<CiphertextModulus<u64>>>,         Vec<
1523//             CommonReferenceSeededMultiPartyServerKeyShare<
1524//                 Vec<Vec<u64>>,
1525//                 BoolParameters<u64>,
1526//                 [u8; 32],
1527//             >,
1528//         >,
1529//         SeededMultiPartyServerKey<Vec<Vec<u64>>, [u8; 32],
1530// BoolParameters<u64>>,         ServerKeyEvaluationDomain<Vec<Vec<u64>>,
1531// DefaultSecureRng, NttBackendU64>,         ClientKey,
1532//     ) {
1533//         let parties = (0..no_of_parties)
1534//             .map(|_| bool_evaluator.client_key())
1535//             .collect_vec();
1536
1537//         let mut rng = DefaultSecureRng::new();
1538
1539//         // Collective public key
1540//         let mut pk_cr_seed = [0u8; 32];
1541//         rng.fill_bytes(&mut pk_cr_seed);
1542//         let public_key_share = parties
1543//             .iter()
1544//             .map(|k| bool_evaluator.multi_party_public_key_share(pk_cr_seed,
1545// k))             .collect_vec();
1546//         let collective_pk =
1547//             PublicKey::<Vec<Vec<u64>>, DefaultSecureRng,
1548// _>::from(public_key_share.as_slice());
1549
1550//         // Server key
1551//         let mut pbs_cr_seed = [0u8; 32];
1552//         rng.fill_bytes(&mut pbs_cr_seed);
1553//         let server_key_shares = parties
1554//             .iter()
1555//             .map(|k| {
1556//                 bool_evaluator.multi_party_server_key_share(pbs_cr_seed,
1557// &collective_pk.key(), k)             })
1558//             .collect_vec();
1559//         let seeded_server_key =
1560//
1561// bool_evaluator.aggregate_multi_party_server_key_shares(&server_key_shares);
1562//         let server_key_eval = ServerKeyEvaluationDomain::<_,
1563// DefaultSecureRng, NttBackendU64>::from(             &seeded_server_key,
1564//         );
1565
1566//         // construct ideal rlwe sk for meauring noise
1567//         let ideal_client_key = {
1568//             let mut ideal_rlwe_sk = vec![0i32;
1569// bool_evaluator.pbs_info.rlwe_n()];             parties.iter().for_each(|k| {
1570//                 izip!(ideal_rlwe_sk.iter_mut(),
1571// k.sk_rlwe().values()).for_each(|(ideal_i, s_i)| {
1572// *ideal_i = *ideal_i + s_i;                 });
1573//             });
1574//             let mut ideal_lwe_sk = vec![0i32;
1575// bool_evaluator.pbs_info.lwe_n()];             parties.iter().for_each(|k| {
1576//                 izip!(ideal_lwe_sk.iter_mut(),
1577// k.sk_lwe().values()).for_each(|(ideal_i, s_i)| {                     *ideal_i
1578// = *ideal_i + s_i;                 });
1579//             });
1580
1581//             ClientKey::new(
1582//                 RlweSecret {
1583//                     values: ideal_rlwe_sk,
1584//                 },
1585//                 LweSecret {
1586//                     values: ideal_lwe_sk,
1587//                 },
1588//             )
1589//         };
1590
1591//         (
1592//             parties,
1593//             collective_pk,
1594//             server_key_shares,
1595//             seeded_server_key,
1596//             server_key_eval,
1597//             ideal_client_key,
1598//         )
1599//     }
1600
1601//     #[test]
1602//     fn multi_party_nand() {
1603//         let mut bool_evaluator = BoolEvaluator::<
1604//             Vec<Vec<u64>>,
1605//             NttBackendU64,
1606//             ModularOpsU64<CiphertextModulus<u64>>,
1607//             ModularOpsU64<CiphertextModulus<u64>>,
1608//         >::new(MP_BOOL_PARAMS);
1609
1610//         let (parties, collective_pk, _, _, server_key_eval, ideal_client_key)
1611// =             _multi_party_all_keygen(&bool_evaluator, 2);
1612
1613//         let mut m0 = true;
1614//         let mut m1 = false;
1615
1616//         let mut lwe0 = bool_evaluator.pk_encrypt(collective_pk.key(), m0);
1617//         let mut lwe1 = bool_evaluator.pk_encrypt(collective_pk.key(), m1);
1618
1619//         for _ in 0..2000 {
1620//             let lwe_out = bool_evaluator.nand(&lwe0, &lwe1,
1621// &server_key_eval);
1622
1623//             let m_expected = !(m0 & m1);
1624
1625//             // multi-party decrypt
1626//             let decryption_shares = parties
1627//                 .iter()
1628//                 .map(|k|
1629// bool_evaluator.multi_party_decryption_share(&lwe_out, k))
1630// .collect_vec();             let m_back =
1631// bool_evaluator.multi_party_decrypt(&decryption_shares, &lwe_out);
1632
1633//             // let m_back = bool_evaluator.sk_decrypt(&lwe_out,
1634// &ideal_client_key);
1635
1636//             assert!(m_expected == m_back, "Expected {m_expected}, got
1637// {m_back}");             m1 = m0;
1638//             m0 = m_expected;
1639
1640//             lwe1 = lwe0;
1641//             lwe0 = lwe_out;
1642//         }
1643//     }
1644
1645//     #[test]
1646//     fn noise_tester() {
1647//         let bool_evaluator = BoolEvaluator::<
1648//             Vec<Vec<u64>>,
1649//             NttBackendU64,
1650//             ModularOpsU64<CiphertextModulus<u64>>,
1651//             ModularOpsU64<CiphertextModulus<u64>>,
1652//         >::new(SP_BOOL_PARAMS);
1653
1654//         // let (_, collective_pk, _, _, server_key_eval, ideal_client_key) =
1655//         //     _multi_party_all_keygen(&bool_evaluator, 20);
1656//         let no_of_parties = 2;
1657//         let lwe_q = bool_evaluator.pbs_info.parameters.lwe_q();
1658//         let rlwe_q = bool_evaluator.pbs_info.parameters.rlwe_q();
1659//         let lwe_n = bool_evaluator.pbs_info.parameters.lwe_n().0;
1660//         let rlwe_n = bool_evaluator.pbs_info.parameters.rlwe_n().0;
1661//         let lwe_modop = &bool_evaluator.pbs_info.lwe_modop;
1662//         let rlwe_nttop = &bool_evaluator.pbs_info.rlwe_nttop;
1663//         let rlwe_modop = &bool_evaluator.pbs_info.rlwe_modop;
1664
1665//         // let rgsw_rgsw_decomposer = &bool_evaluator
1666//         //     .pbs_info
1667//         //     .parameters
1668//         //     .rgsw_rgsw_decomposer::<DefaultDecomposer<u64>>();
1669//         // let rgsw_rgsw_gadget_a = rgsw_rgsw_decomposer.0.gadget_vector();
1670//         // let rgsw_rgsw_gadget_b = rgsw_rgsw_decomposer.1.gadget_vector();
1671
1672//         let rlwe_rgsw_decomposer =
1673// &bool_evaluator.pbs_info.rlwe_rgsw_decomposer;         let rlwe_rgsw_gadget_a
1674// = rlwe_rgsw_decomposer.0.gadget_vector();         let rlwe_rgsw_gadget_b =
1675// rlwe_rgsw_decomposer.1.gadget_vector();
1676
1677//         let auto_decomposer = &bool_evaluator.pbs_info.auto_decomposer;
1678//         let auto_gadget = auto_decomposer.gadget_vector();
1679
1680//         let parties = (0..no_of_parties)
1681//             .map(|_| bool_evaluator.client_key())
1682//             .collect_vec();
1683
1684//         let ideal_client_key = {
1685//             let mut ideal_rlwe_sk = vec![0i32;
1686// bool_evaluator.pbs_info.rlwe_n()];             parties.iter().for_each(|k| {
1687//                 izip!(ideal_rlwe_sk.iter_mut(),
1688// k.sk_rlwe().values()).for_each(|(ideal_i, s_i)| {
1689// *ideal_i = *ideal_i + s_i;                 });
1690//             });
1691//             let mut ideal_lwe_sk = vec![0i32;
1692// bool_evaluator.pbs_info.lwe_n()];             parties.iter().for_each(|k| {
1693//                 izip!(ideal_lwe_sk.iter_mut(),
1694// k.sk_lwe().values()).for_each(|(ideal_i, s_i)| {                     *ideal_i
1695// = *ideal_i + s_i;                 });
1696//             });
1697
1698//             ClientKey::new(
1699//                 RlweSecret {
1700//                     values: ideal_rlwe_sk,
1701//                 },
1702//                 LweSecret {
1703//                     values: ideal_lwe_sk,
1704//                 },
1705//             )
1706//         };
1707
1708//         // check noise in freshly encrypted RLWE ciphertext (ie var_fresh)
1709//         if true {
1710//             let mut rng = DefaultSecureRng::new();
1711//             let mut check = Stats { samples: vec![] };
1712//             for _ in 0..10 {
1713//                 // generate a new collective public key
1714//                 let mut pk_cr_seed = [0u8; 32];
1715//                 rng.fill_bytes(&mut pk_cr_seed);
1716//                 let public_key_share = parties
1717//                     .iter()
1718//                     .map(|k|
1719// bool_evaluator.multi_party_public_key_share(pk_cr_seed, k))
1720// .collect_vec();                 let collective_pk = PublicKey::<
1721//                     Vec<Vec<u64>>,
1722//                     DefaultSecureRng,
1723//                     ModularOpsU64<CiphertextModulus<u64>>,
1724//                 >::from(public_key_share.as_slice());
1725
1726//                 let mut m = vec![0u64; rlwe_n];
1727//                 RandomFillUniformInModulus::random_fill(&mut rng, rlwe_q,
1728// m.as_mut_slice());                 let mut rlwe_ct = vec![vec![0u64; rlwe_n];
1729// 2];                 public_key_encrypt_rlwe::<_, _, _, _, i32, _>(
1730//                     &mut rlwe_ct,
1731//                     collective_pk.key(),
1732//                     &m,
1733//                     rlwe_modop,
1734//                     rlwe_nttop,
1735//                     &mut rng,
1736//                 );
1737
1738//                 let mut m_back = vec![0u64; rlwe_n];
1739//                 decrypt_rlwe(
1740//                     &rlwe_ct,
1741//                     ideal_client_key.sk_rlwe().values(),
1742//                     &mut m_back,
1743//                     rlwe_nttop,
1744//                     rlwe_modop,
1745//                 );
1746
1747//                 rlwe_modop.elwise_sub_mut(m_back.as_mut_slice(),
1748// m.as_slice());
1749
1750//                 check.add_more(Vec::<i64>::try_convert_from(&m_back,
1751// rlwe_q).as_slice());             }
1752
1753//             println!("Public key Std: {}", check.std_dev().abs().log2());
1754//         }
1755
1756//         if true {
1757//             // Generate server key shares
1758//             let mut rng = DefaultSecureRng::new();
1759//             let mut pk_cr_seed = [0u8; 32];
1760//             rng.fill_bytes(&mut pk_cr_seed);
1761//             let public_key_share = parties
1762//                 .iter()
1763//                 .map(|k|
1764// bool_evaluator.multi_party_public_key_share(pk_cr_seed, k))
1765// .collect_vec();             let collective_pk = PublicKey::<
1766//                 Vec<Vec<u64>>,
1767//                 DefaultSecureRng,
1768//                 ModularOpsU64<CiphertextModulus<u64>>,
1769//             >::from(public_key_share.as_slice());
1770
1771//             let pbs_cr_seed = [0u8; 32];
1772//             rng.fill_bytes(&mut pk_cr_seed);
1773//             let server_key_shares = parties
1774//                 .iter()
1775//                 .map(|k| {
1776//                     bool_evaluator.multi_party_server_key_share(pbs_cr_seed,
1777// collective_pk.key(), k)                 })
1778//                 .collect_vec();
1779
1780//             let seeded_server_key =
1781//
1782// bool_evaluator.aggregate_multi_party_server_key_shares(&server_key_shares);
1783
1784//             // Check noise in RGSW ciphertexts of ideal LWE secret elements
1785//             if false {
1786//                 let mut check = Stats { samples: vec![] };
1787//                 izip!(
1788//                     ideal_client_key.sk_lwe().values.iter(),
1789//                     seeded_server_key.rgsw_cts().iter()
1790//                 )
1791//                 .for_each(|(s_i, rgsw_ct_i)| {
1792//                     // X^{s[i]}
1793//                     let mut m_si = vec![0u64; rlwe_n];
1794//                     let s_i = *s_i *
1795// (bool_evaluator.pbs_info.embedding_factor as i32);                     if s_i
1796// < 0 {                         m_si[rlwe_n - (s_i.abs() as usize)] =
1797// rlwe_q.neg_one();                     } else {
1798//                         m_si[s_i as usize] = 1;
1799//                     }
1800
1801//                     // RLWE'(-sm)
1802//                     let mut neg_s_eval =
1803//
1804// Vec::<u64>::try_convert_from(ideal_client_key.sk_rlwe().values(), rlwe_q);
1805//                     rlwe_modop.elwise_neg_mut(&mut neg_s_eval);
1806//                     rlwe_nttop.forward(&mut neg_s_eval);
1807//                     for j in
1808// 0..rlwe_rgsw_decomposer.a().decomposition_count() {
1809// // RLWE(B^{j} * -s[X]*X^{s_lwe[i]})
1810
1811//                         // -s[X]*X^{s_lwe[i]}*B_j
1812//                         let mut m_ideal = m_si.clone();
1813//                         rlwe_nttop.forward(m_ideal.as_mut_slice());
1814//                         rlwe_modop.elwise_mul_mut(m_ideal.as_mut_slice(),
1815// neg_s_eval.as_slice());
1816// rlwe_nttop.backward(m_ideal.as_mut_slice());
1817// rlwe_modop
1818// .elwise_scalar_mul_mut(m_ideal.as_mut_slice(), &rlwe_rgsw_gadget_a[j]);
1819
1820//                         // RLWE(-s*X^{s_lwe[i]}*B_j)
1821//                         let mut rlwe_ct = vec![vec![0u64; rlwe_n]; 2];
1822//                         rlwe_ct[0].copy_from_slice(&rgsw_ct_i[j]);
1823//                         rlwe_ct[1].copy_from_slice(
1824//                             &rgsw_ct_i[j +
1825// rlwe_rgsw_decomposer.a().decomposition_count()],                         );
1826
1827//                         let mut m_back = vec![0u64; rlwe_n];
1828//                         decrypt_rlwe(
1829//                             &rlwe_ct,
1830//                             ideal_client_key.sk_rlwe().values(),
1831//                             &mut m_back,
1832//                             rlwe_nttop,
1833//                             rlwe_modop,
1834//                         );
1835
1836//                         // diff
1837//                         rlwe_modop.elwise_sub_mut(&mut m_back, &m_ideal);
1838//                         check.add_more(&Vec::<i64>::try_convert_from(&m_back,
1839// rlwe_q));                     }
1840
1841//                     // RLWE'(m)
1842//                     for j in
1843// 0..rlwe_rgsw_decomposer.b().decomposition_count() {
1844// // RLWE(B^{j} * X^{s_lwe[i]})
1845
1846//                         // X^{s_lwe[i]}*B_j
1847//                         let mut m_ideal = m_si.clone();
1848//                         rlwe_modop
1849//                             .elwise_scalar_mul_mut(m_ideal.as_mut_slice(),
1850// &rlwe_rgsw_gadget_b[j]);
1851
1852//                         // RLWE(X^{s_lwe[i]}*B_j)
1853//                         let mut rlwe_ct = vec![vec![0u64; rlwe_n]; 2];
1854//                         rlwe_ct[0].copy_from_slice(
1855//                             &rgsw_ct_i[j + (2 *
1856// rlwe_rgsw_decomposer.a().decomposition_count())],                         );
1857//                         rlwe_ct[1].copy_from_slice(
1858//                             &rgsw_ct_i[j
1859//                                 + (2 * rlwe_rgsw_decomposer.a().
1860//                                   decomposition_count()
1861//                                     + rlwe_rgsw_decomposer.b().
1862//                                       decomposition_count())],
1863//                         );
1864
1865//                         let mut m_back = vec![0u64; rlwe_n];
1866//                         decrypt_rlwe(
1867//                             &rlwe_ct,
1868//                             ideal_client_key.sk_rlwe().values(),
1869//                             &mut m_back,
1870//                             rlwe_nttop,
1871//                             rlwe_modop,
1872//                         );
1873
1874//                         // diff
1875//                         rlwe_modop.elwise_sub_mut(&mut m_back, &m_ideal);
1876//                         check.add_more(&Vec::<i64>::try_convert_from(&m_back,
1877// rlwe_q));                     }
1878//                 });
1879//                 println!(
1880//                     "RGSW Std: {} {} ;; max={}",
1881//                     check.mean(),
1882//                     check.std_dev().abs().log2(),
1883//                     check.samples.iter().max().unwrap()
1884//                 );
1885//             }
1886
1887//             // server key in Evaluation domain
1888//             let server_key_eval_domain =
1889//                 ServerKeyEvaluationDomain::<_, DefaultSecureRng,
1890// NttBackendU64>::from(                     &seeded_server_key,
1891//                 );
1892
1893//             // check noise in RLWE x RGSW(X^{s_i}) where RGSW is accunulated
1894// RGSW ciphertext             if false {
1895//                 let mut check = Stats { samples: vec![] };
1896
1897//                 izip!(
1898//                     ideal_client_key.sk_lwe().values(),
1899//                     server_key_eval_domain.rgsw_cts().iter()
1900//                 )
1901//                 .for_each(|(s_i, rgsw_ct_i)| {
1902//                     let mut m = vec![0u64; rlwe_n];
1903//                     RandomFillUniformInModulus::random_fill(&mut rng, rlwe_q,
1904// m.as_mut_slice());                     let mut rlwe_ct = vec![vec![0u64;
1905// rlwe_n]; 2];                     public_key_encrypt_rlwe::<_, _, _, _, i32,
1906// _>(                         &mut rlwe_ct,
1907//                         collective_pk.key(),
1908//                         &m,
1909//                         rlwe_modop,
1910//                         rlwe_nttop,
1911//                         &mut rng,
1912//                     );
1913
1914//                     // RLWE(m*X^{s[i]}) = RLWE(m) x RGSW(X^{s[i]})
1915//                     // let mut rlwe_after = RlweCiphertext::<_,
1916// DefaultSecureRng>::new_trivial(vec![                     //     vec![0u64;
1917// rlwe_n],                     //     m.clone(),
1918//                     // ]);
1919//                     let mut rlwe_after = RlweCiphertext::<_,
1920// DefaultSecureRng> {                         data: rlwe_ct.clone(),
1921//                         is_trivial: false,
1922//                         _phatom: PhantomData,
1923//                     };
1924//                     let mut scratch = vec![
1925//                         vec![0u64; rlwe_n];
1926//                         std::cmp::max(
1927//                             rlwe_rgsw_decomposer.0.decomposition_count(),
1928//                             rlwe_rgsw_decomposer.1.decomposition_count()
1929//                         ) + 2
1930//                     ];
1931//                     rlwe_by_rgsw(
1932//                         &mut rlwe_after,
1933//                         rgsw_ct_i,
1934//                         &mut scratch,
1935//                         rlwe_rgsw_decomposer,
1936//                         rlwe_nttop,
1937//                         rlwe_modop,
1938//                     );
1939
1940//                     // m1 = X^{s[i]}
1941//                     let mut m1 = vec![0u64; rlwe_n];
1942//                     let s_i = *s_i *
1943// (bool_evaluator.pbs_info.embedding_factor as i32);                     if s_i
1944// < 0 {                         m1[rlwe_n - (s_i.abs() as usize)] =
1945// rlwe_q.neg_one()                     } else {
1946//                         m1[s_i as usize] = 1;
1947//                     }
1948
1949//                     // (m+e) * m1
1950//                     let mut m_plus_e_times_m1 = vec![0u64; rlwe_n];
1951//                     decrypt_rlwe(
1952//                         &rlwe_ct,
1953//                         ideal_client_key.sk_rlwe().values(),
1954//                         &mut m_plus_e_times_m1,
1955//                         rlwe_nttop,
1956//                         rlwe_modop,
1957//                     );
1958//                     rlwe_nttop.forward(m_plus_e_times_m1.as_mut_slice());
1959//                     rlwe_nttop.forward(m1.as_mut_slice());
1960//
1961// rlwe_modop.elwise_mul_mut(m_plus_e_times_m1.as_mut_slice(), m1.as_slice());
1962//                     rlwe_nttop.backward(m_plus_e_times_m1.as_mut_slice());
1963
1964//                     // Resulting RLWE ciphertext will equal: (m0m1 + em1) +
1965// e_{rlsw x rgsw}.                     // Hence, resulting rlwe ciphertext will
1966// have error em1 + e_{rlwe x rgsw}.                     // Here we're only
1967// concerned with e_{rlwe x rgsw}, that is noise added by                     //
1968// RLWExRGSW. Also note in practice m1 is a monomial, for ex, X^{s_{i}}, for
1969//                     // some i and var(em1) = var(e).
1970//                     let mut m_plus_e_times_m1_more_e = vec![0u64; rlwe_n];
1971//                     decrypt_rlwe(
1972//                         &rlwe_after,
1973//                         ideal_client_key.sk_rlwe().values(),
1974//                         &mut m_plus_e_times_m1_more_e,
1975//                         rlwe_nttop,
1976//                         rlwe_modop,
1977//                     );
1978
1979//                     // diff
1980//                     rlwe_modop.elwise_sub_mut(
1981//                         m_plus_e_times_m1_more_e.as_mut_slice(),
1982//                         m_plus_e_times_m1.as_slice(),
1983//                     );
1984
1985//                     // let noise = measure_noise(
1986//                     //     &rlwe_after,
1987//                     //     &m_plus_e_times_m1,
1988//                     //     rlwe_nttop,
1989//                     //     rlwe_modop,
1990//                     //     ideal_client_key.sk_rlwe.values(),
1991//                     // );
1992//                     // print!("NOISE: {}", noise);
1993
1994//                     check.add_more(&Vec::<i64>::try_convert_from(
1995//                         &m_plus_e_times_m1_more_e,
1996//                         rlwe_q,
1997//                     ));
1998//                 });
1999//                 println!(
2000//                     "RLWE x RGSW, where RGSW has noise var_brk, std: {} {}",
2001//                     check.std_dev(),
2002//                     check.std_dev().abs().log2()
2003//                 )
2004//             }
2005
2006//             // check noise in Auto key
2007//             if false {
2008//                 let mut check = Stats { samples: vec![] };
2009
2010//                 let mut neg_s_poly =
2011//
2012// Vec::<u64>::try_convert_from(ideal_client_key.sk_rlwe().values(), rlwe_q);
2013//                 rlwe_modop.elwise_neg_mut(neg_s_poly.as_mut_slice());
2014
2015//                 let g = bool_evaluator.pbs_info.g();
2016//                 let br_q = bool_evaluator.pbs_info.br_q();
2017//                 let auto_element_dlogs =
2018// bool_evaluator.pbs_info.parameters.auto_element_dlogs();                 for
2019// i in auto_element_dlogs.into_iter() {                     let g_pow = if i ==
2020// 0 {                         -g
2021//                     } else {
2022//                         (((g as usize).pow(i as u32)) % br_q) as isize
2023//                     };
2024
2025//                     // -s[X^k]
2026//                     let (auto_indices, auto_sign) = generate_auto_map(rlwe_n,
2027// g_pow);                     let mut neg_s_poly_auto_i = vec![0u64; rlwe_n];
2028//                     izip!(neg_s_poly.iter(), auto_indices.iter(),
2029// auto_sign.iter()).for_each(                         |(v, to_i, to_sign)| {
2030//                             if !to_sign {
2031//                                 neg_s_poly_auto_i[*to_i] = rlwe_modop.neg(v);
2032//                             } else {
2033//                                 neg_s_poly_auto_i[*to_i] = *v;
2034//                             }
2035//                         },
2036//                     );
2037
2038//                     let mut auto_key_i =
2039// server_key_eval_domain.galois_key_for_auto(i).clone();                     //
2040// send i^th auto key to coefficient domain                     auto_key_i
2041//                         .iter_mut()
2042//                         .for_each(|r| rlwe_nttop.backward(r.as_mut_slice()));
2043//                     auto_gadget.iter().enumerate().for_each(|(i, b_i)| {
2044//                         // B^i * -s[X^k]
2045//                         let mut m_ideal = neg_s_poly_auto_i.clone();
2046//
2047// rlwe_modop.elwise_scalar_mul_mut(m_ideal.as_mut_slice(), b_i);
2048
2049//                         let mut m_out = vec![0u64; rlwe_n];
2050//                         let mut rlwe_ct = vec![vec![0u64; rlwe_n]; 2];
2051//                         rlwe_ct[0].copy_from_slice(&auto_key_i[i]);
2052//                         rlwe_ct[1].copy_from_slice(
2053//                             &auto_key_i[auto_decomposer.decomposition_count()
2054// + i],                         ); decrypt_rlwe( &rlwe_ct,
2055//   ideal_client_key.sk_rlwe().values(), &mut m_out, rlwe_nttop, rlwe_modop, );
2056
2057//                         // diff
2058//                         rlwe_modop.elwise_sub_mut(m_out.as_mut_slice(),
2059// m_ideal.as_slice());
2060
2061//                         check.add_more(&Vec::<i64>::try_convert_from(&m_out,
2062// rlwe_q));                     });
2063//                 }
2064
2065//                 println!("Auto key noise std dev: {}",
2066// check.std_dev().abs().log2());             }
2067
2068//             // check noise in RLWE(X^k) after sending RLWE(X) -> RLWE(X^k)
2069// using collective             // auto key
2070//             if true {
2071//                 let mut check = Stats { samples: vec![] };
2072//                 let br_q = bool_evaluator.pbs_info.br_q();
2073//                 let g = bool_evaluator.pbs_info.g();
2074//                 let auto_element_dlogs =
2075// bool_evaluator.pbs_info.parameters.auto_element_dlogs();                 for
2076// i in auto_element_dlogs.into_iter() {                     for _ in 0..10 {
2077//                         let mut m = vec![0u64; rlwe_n];
2078//                         RandomFillUniformInModulus::random_fill(&mut rng,
2079// rlwe_q, m.as_mut_slice());                         let mut rlwe_ct =
2080// RlweCiphertext::<_, DefaultSecureRng> {                             data:
2081// vec![vec![0u64; rlwe_n]; 2],                             is_trivial: false,
2082//                             _phatom: PhantomData,
2083//                         };
2084//                         public_key_encrypt_rlwe::<_, _, _, _, i32, _>(
2085//                             &mut rlwe_ct,
2086//                             collective_pk.key(),
2087//                             &m,
2088//                             rlwe_modop,
2089//                             rlwe_nttop,
2090//                             &mut rng,
2091//                         );
2092
2093//                         // We're only interested in noise increased as a
2094// result of automorphism.                         // Hence, we take m+e as the
2095// bench.                         let mut m_plus_e = vec![0u64; rlwe_n];
2096//                         decrypt_rlwe(
2097//                             &rlwe_ct,
2098//                             ideal_client_key.sk_rlwe().values(),
2099//                             &mut m_plus_e,
2100//                             rlwe_nttop,
2101//                             rlwe_modop,
2102//                         );
2103
2104//                         let auto_key =
2105// server_key_eval_domain.galois_key_for_auto(i);                         let
2106// (auto_map_index, auto_map_sign) =
2107// bool_evaluator.pbs_info.rlwe_auto_map(i);                         let mut
2108// scratch =                             vec![vec![0u64; rlwe_n];
2109// auto_decomposer.decomposition_count() + 2];
2110// galois_auto(                             &mut rlwe_ct,
2111//                             auto_key,
2112//                             &mut scratch,
2113//                             &auto_map_index,
2114//                             &auto_map_sign,
2115//                             rlwe_modop,
2116//                             rlwe_nttop,
2117//                             auto_decomposer,
2118//                         );
2119
2120//                         // send m+e from X to X^k
2121//                         let mut m_plus_e_auto = vec![0u64; rlwe_n];
2122//                         izip!(m_plus_e.iter(), auto_map_index.iter(),
2123// auto_map_sign.iter())                             .for_each(|(v, to_index,
2124// to_sign)| {                                 if !to_sign {
2125//                                     m_plus_e_auto[*to_index] =
2126// rlwe_modop.neg(v);                                 } else {
2127//                                     m_plus_e_auto[*to_index] = *v
2128//                                 }
2129//                             });
2130
2131//                         let mut m_out = vec![0u64; rlwe_n];
2132//                         decrypt_rlwe(
2133//                             &rlwe_ct,
2134//                             ideal_client_key.sk_rlwe().values(),
2135//                             &mut m_out,
2136//                             rlwe_nttop,
2137//                             rlwe_modop,
2138//                         );
2139
2140//                         // diff
2141//                         rlwe_modop.elwise_sub_mut(m_out.as_mut_slice(),
2142// m_plus_e_auto.as_slice());
2143
2144//
2145// check.add_more(&Vec::<i64>::try_convert_from(m_out.as_slice(), rlwe_q));
2146//                     }
2147//                 }
2148
2149//                 println!("Rlwe Auto Noise Std: {}",
2150// check.std_dev().abs().log2());             }
2151
2152//             // Check noise growth in ksk
2153//             // TODO check in LWE key switching keys
2154//             if true {
2155//                 // 1. encrypt LWE ciphertext
2156//                 // 2. Key switching
2157//                 // 3.
2158//                 let mut check = Stats { samples: vec![] };
2159
2160//                 for _ in 0..1024 {
2161//                     // Encrypt m \in Q_{ks} using RLWE sk
2162//                     let mut lwe_in_ct = vec![0u64; rlwe_n + 1];
2163//                     let m = RandomElementInModulus::random(&mut rng,
2164// &lwe_q.q().unwrap());                     encrypt_lwe(
2165//                         &mut lwe_in_ct,
2166//                         &m,
2167//                         ideal_client_key.sk_rlwe().values(),
2168//                         lwe_modop,
2169//                         &mut rng,
2170//                     );
2171
2172//                     // Key switch
2173//                     let mut lwe_out = vec![0u64; lwe_n + 1];
2174//                     lwe_key_switch(
2175//                         &mut lwe_out,
2176//                         &lwe_in_ct,
2177//                         server_key_eval_domain.lwe_ksk(),
2178//                         lwe_modop,
2179//                         bool_evaluator.pbs_info.lwe_decomposer(),
2180//                     );
2181
2182//                     // We only care about noise added by LWE key switch
2183//                     // m+e
2184//                     let m_plus_e =
2185//                         decrypt_lwe(&lwe_in_ct,
2186// ideal_client_key.sk_rlwe().values(), lwe_modop);
2187
2188//                     let m_plus_e_plus_lwe_ksk_noise =
2189//                         decrypt_lwe(&lwe_out,
2190// ideal_client_key.sk_lwe().values(), lwe_modop);
2191
2192//                     let diff = lwe_modop.sub(&m_plus_e_plus_lwe_ksk_noise,
2193// &m_plus_e);
2194
2195//                     check.add_more(&vec![lwe_q.map_element_to_i64(&diff)]);
2196//                 }
2197
2198//                 println!("Lwe ksk std dev: {}",
2199// check.std_dev().abs().log2());             }
2200//         }
2201
2202//         // Check noise in fresh RGSW ciphertexts, ie X^{s_j[i]}, must equal
2203// noise in         // fresh RLWE ciphertext
2204//         if true {}
2205//         // test LWE ksk from RLWE -> LWE
2206//         // if false {
2207//         //     let logp = 2;
2208//         //     let mut rng = DefaultSecureRng::new();
2209
2210//         //     let m = 1;
2211//         //     let encoded_m = m << (lwe_logq - logp);
2212
2213//         //     // Encrypt
2214//         //     let mut lwe_ct = vec![0u64; rlwe_n + 1];
2215//         //     encrypt_lwe(
2216//         //         &mut lwe_ct,
2217//         //         &encoded_m,
2218//         //         ideal_client_key.sk_rlwe.values(),
2219//         //         lwe_modop,
2220//         //         &mut rng,
2221//         //     );
2222
2223//         //     // key switch
2224//         //     let lwe_decomposer = &bool_evaluator.decomposer_lwe;
2225//         //     let mut lwe_out = vec![0u64; lwe_n + 1];
2226//         //     lwe_key_switch(
2227//         //         &mut lwe_out,
2228//         //         &lwe_ct,
2229//         //         &server_key_eval.lwe_ksk,
2230//         //         lwe_modop,
2231//         //         lwe_decomposer,
2232//         //     );
2233
2234//         //     let encoded_m_back = decrypt_lwe(&lwe_out,
2235//         // ideal_client_key.sk_lwe.values(), lwe_modop);     let m_back
2236//         // =         ((encoded_m_back as f64 * (1 << logp) as f64) /
2237//         // (lwe_q as f64)).round() as u64;     dbg!(m_back, m);
2238
2239//         //     let noise = measure_noise_lwe(
2240//         //         &lwe_out,
2241//         //         ideal_client_key.sk_lwe.values(),
2242//         //         lwe_modop,
2243//         //         &encoded_m,
2244//         //     );
2245
2246//         //     println!("Noise: {noise}");
2247//         // }
2248
2249//         // Measure noise in RGSW ciphertexts of ideal LWE secrets
2250//         // if true {
2251//         //     let gadget_vec = gadget_vector(
2252//         //         bool_evaluator.parameters.rlwe_logq,
2253//         //         bool_evaluator.parameters.logb_rgsw,
2254//         //         bool_evaluator.parameters.d_rgsw,
2255//         //     );
2256
2257//         //     for i in 0..20 {
2258//         //         // measure noise in RGSW(s[i])
2259//         //         let si =
2260//         //             ideal_client_key.sk_lwe.values[i] *
2261//         // (bool_evaluator.embedding_factor as i32);         let mut
2262//         // si_poly = vec![0u64; rlwe_n];         if si < 0 {
2263//         //             si_poly[rlwe_n - (si.abs() as usize)] = rlwe_q - 1;
2264//         //         } else {
2265//         //             si_poly[(si.abs() as usize)] = 1;
2266//         //         }
2267
2268//         //         let mut rgsw_si = server_key_eval.rgsw_cts[i].clone();
2269//         //         rgsw_si
2270//         //             .iter_mut()
2271//         //             .for_each(|ri| rlwe_nttop.backward(ri.as_mut()));
2272
2273//         //         println!("####### Noise in RGSW(X^s_{i}) #######");
2274//         //         _measure_noise_rgsw(
2275//         //             &rgsw_si,
2276//         //             &si_poly,
2277//         //             ideal_client_key.sk_rlwe.values(),
2278//         //             &gadget_vec,
2279//         //             rlwe_q,
2280//         //         );
2281//         //         println!("####### ##################### #######");
2282//         //     }
2283//         // }
2284
2285//         // // measure noise grwoth in RLWExRGSW
2286//         // if true {
2287//         //     let mut rng = DefaultSecureRng::new();
2288//         //     let mut carry_m = vec![0u64; rlwe_n];
2289//         //     RandomUniformDist1::random_fill(&mut rng, &rlwe_q,
2290//         // carry_m.as_mut_slice());
2291
2292//         //     // RGSW(carrym)
2293//         //     let trivial_rlwect = vec![vec![0u64; rlwe_n],
2294// carry_m.clone()];         //     let mut rlwe_ct = RlweCiphertext::<_,
2295//         // DefaultSecureRng>::from_raw(trivial_rlwect, true);
2296
2297//         //     let mut scratch_matrix_dplus2_ring = vec![vec![0u64; rlwe_n];
2298//         // d_rgsw + 2];     let mul_mod =
2299//         //         |v0: &u64, v1: &u64| (((*v0 as u128 * *v1 as u128) %
2300// (rlwe_q as u128)) as u64);
2301
2302//         //     for i in 0..bool_evaluator.parameters.lwe_n {
2303//         //         rlwe_by_rgsw(
2304//         //             &mut rlwe_ct,
2305//         //             server_key_eval.rgsw_ct_lwe_si(i),
2306//         //             &mut scratch_matrix_dplus2_ring,
2307//         //             rlwe_decomposer,
2308//         //             rlwe_nttop,
2309//         //             rlwe_modop,
2310//         //         );
2311
2312//         //         // carry_m[X] * s_i[X]
2313//         //         let si =
2314//         //             ideal_client_key.sk_lwe.values[i] *
2315//         // (bool_evaluator.embedding_factor as i32);         let mut
2316//         // si_poly = vec![0u64; rlwe_n];         if si < 0 {
2317//         //             si_poly[rlwe_n - (si.abs() as usize)] = rlwe_q - 1;
2318//         //         } else {
2319//         //             si_poly[(si.abs() as usize)] = 1;
2320//         //         }
2321//         //         carry_m = negacyclic_mul(&carry_m, &si_poly, mul_mod,
2322//         // rlwe_q);
2323
2324//         //         let noise = measure_noise(
2325//         //             &rlwe_ct,
2326//         //             &carry_m,
2327//         //             rlwe_nttop,
2328//         //             rlwe_modop,
2329//         //             ideal_client_key.sk_rlwe.values(),
2330//         //         );
2331//         //         println!("Noise RLWE(carry_m) accumulating {i}^th secret
2332//         // monomial: {noise}");     }
2333//         // }
2334
2335//         // // Check galois keys
2336//         // if false {
2337//         //     let g = bool_evaluator.g() as isize;
2338//         //     let mut rng = DefaultSecureRng::new();
2339//         //     let mut scratch_matrix_dplus2_ring = vec![vec![0u64; rlwe_n];
2340//         // d_rgsw + 2];     for i in [g, -g] {
2341//         //         let mut m = vec![0u64; rlwe_n];
2342//         //         RandomUniformDist1::random_fill(&mut rng, &rlwe_q,
2343//         // m.as_mut_slice());         let mut rlwe_ct = {
2344//         //             let mut data = vec![vec![0u64; rlwe_n]; 2];
2345//         //             public_key_encrypt_rlwe(
2346//         //                 &mut data,
2347//         //                 &collective_pk.key,
2348//         //                 &m,
2349//         //                 rlwe_modop,
2350//         //                 rlwe_nttop,
2351//         //                 &mut rng,
2352//         //             );
2353//         //             RlweCiphertext::<_, DefaultSecureRng>::from_raw(data,
2354//         // false)         };
2355
2356//         //         let auto_key = server_key_eval.galois_key_for_auto(i);
2357//         //         let (auto_map_index, auto_map_sign) =
2358//         // generate_auto_map(rlwe_n, i);         galois_auto(
2359//         //             &mut rlwe_ct,
2360//         //             auto_key,
2361//         //             &mut scratch_matrix_dplus2_ring,
2362//         //             &auto_map_index,
2363//         //             &auto_map_sign,
2364//         //             rlwe_modop,
2365//         //             rlwe_nttop,
2366//         //             rlwe_decomposer,
2367//         //         );
2368
2369//         //         // send m(X) -> m(X^i)
2370//         //         let mut m_k = vec![0u64; rlwe_n];
2371//         //         izip!(m.iter(), auto_map_index.iter(),
2372//         // auto_map_sign.iter()).for_each(             |(mi, to_index,
2373// to_sign)|         // {                 if !to_sign {
2374//         //                     m_k[*to_index] = rlwe_q - *mi;
2375//         //                 } else {
2376//         //                     m_k[*to_index] = *mi;
2377//         //                 }
2378//         //             },
2379//         //         );
2380
2381//         //         // measure noise
2382//         //         let noise = measure_noise(
2383//         //             &rlwe_ct,
2384//         //             &m_k,
2385//         //             rlwe_nttop,
2386//         //             rlwe_modop,
2387//         //             ideal_client_key.sk_rlwe.values(),
2388//         //         );
2389
2390//         //         println!("Noise after auto k={i}: {noise}");
2391//         //     }
2392//         // }
2393//     }
2394// }