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core refactoring (#69)
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483
bin_fhe/blind_rotation/cggi.rs
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483
bin_fhe/blind_rotation/cggi.rs
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@@ -0,0 +1,483 @@
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use backend::hal::{
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api::{
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ScratchAvailable, SvpApply, SvpPPolAllocBytes, TakeVecZnx, TakeVecZnxBig, TakeVecZnxDft, TakeVecZnxDftSlice,
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TakeVecZnxSlice, VecZnxAddInplace, VecZnxBigAddSmallInplace, VecZnxBigAllocBytes, VecZnxBigNormalizeTmpBytes, VecZnxCopy,
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VecZnxDftAdd, VecZnxDftAddInplace, VecZnxDftAllocBytes, VecZnxDftFromVecZnx, VecZnxDftSubABInplace, VecZnxDftToVecZnxBig,
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VecZnxDftToVecZnxBigTmpBytes, VecZnxDftZero, VecZnxMulXpMinusOneInplace, VecZnxNormalize, VecZnxNormalizeInplace,
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VecZnxRotate, VecZnxSubABInplace, VmpApplyTmpBytes, ZnxView, ZnxZero,
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},
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layouts::{Backend, DataMut, DataRef, Module, Scratch, SvpPPol, VecZnx},
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};
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use itertools::izip;
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use crate::{
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GLWEOps, Infos, LookUpTableRotationDirection, TakeGLWECt,
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blind_rotation::{key::BlindRotationKeyCGGIExec, lut::LookUpTable},
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dist::Distribution,
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layouts::{GLWECiphertext, GLWECiphertextToMut, LWECiphertext, LWECiphertextToRef},
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trait_families::GLWEExternalProductFamily,
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};
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pub trait CCGIBlindRotationFamily<B: Backend> = VecZnxBigAllocBytes
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+ VecZnxDftAllocBytes
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+ SvpPPolAllocBytes
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+ VmpApplyTmpBytes
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+ VecZnxBigNormalizeTmpBytes
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+ VecZnxDftToVecZnxBigTmpBytes
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+ VecZnxDftToVecZnxBig<B>
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+ VecZnxDftAdd<B>
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+ VecZnxDftAddInplace<B>
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+ VecZnxDftFromVecZnx<B>
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+ VecZnxDftZero<B>
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+ SvpApply<B>
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+ VecZnxDftSubABInplace<B>
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+ VecZnxBigAddSmallInplace<B>
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+ GLWEExternalProductFamily<B>
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+ VecZnxRotate
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+ VecZnxAddInplace
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+ VecZnxSubABInplace
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+ VecZnxNormalize<B>
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+ VecZnxNormalizeInplace<B>
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+ VecZnxCopy
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+ VecZnxMulXpMinusOneInplace;
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pub fn cggi_blind_rotate_scratch_space<B: Backend>(
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module: &Module<B>,
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n: usize,
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block_size: usize,
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extension_factor: usize,
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basek: usize,
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k_res: usize,
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k_brk: usize,
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rows: usize,
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rank: usize,
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) -> usize
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where
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Module<B>: CCGIBlindRotationFamily<B>,
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{
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let brk_size: usize = k_brk.div_ceil(basek);
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if block_size > 1 {
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let cols: usize = rank + 1;
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let acc_dft: usize = module.vec_znx_dft_alloc_bytes(n, cols, rows) * extension_factor;
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let acc_big: usize = module.vec_znx_big_alloc_bytes(n, 1, brk_size);
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let vmp_res: usize = module.vec_znx_dft_alloc_bytes(n, cols, brk_size) * extension_factor;
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let vmp_xai: usize = module.vec_znx_dft_alloc_bytes(n, 1, brk_size);
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let acc_dft_add: usize = vmp_res;
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let vmp: usize = module.vmp_apply_tmp_bytes(n, brk_size, rows, rows, 2, 2, brk_size); // GGSW product: (1 x 2) x (2 x 2)
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let acc: usize;
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if extension_factor > 1 {
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acc = VecZnx::alloc_bytes(n, cols, k_res.div_ceil(basek)) * extension_factor;
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} else {
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acc = 0;
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}
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return acc
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+ acc_dft
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+ acc_dft_add
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+ vmp_res
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+ vmp_xai
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+ (vmp | (acc_big + (module.vec_znx_big_normalize_tmp_bytes(n) | module.vec_znx_dft_to_vec_znx_big_tmp_bytes(n))));
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} else {
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GLWECiphertext::bytes_of(n, basek, k_res, rank)
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+ GLWECiphertext::external_product_scratch_space(module, n, basek, k_res, k_res, k_brk, 1, rank)
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}
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}
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pub fn cggi_blind_rotate<DataRes, DataIn, DataBrk, B: Backend>(
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module: &Module<B>,
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res: &mut GLWECiphertext<DataRes>,
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lwe: &LWECiphertext<DataIn>,
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lut: &LookUpTable,
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brk: &BlindRotationKeyCGGIExec<DataBrk, B>,
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scratch: &mut Scratch<B>,
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) where
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DataRes: DataMut,
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DataIn: DataRef,
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DataBrk: DataRef,
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Module<B>: CCGIBlindRotationFamily<B>,
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Scratch<B>: TakeVecZnxDftSlice<B> + TakeVecZnxDft<B> + TakeVecZnxBig<B> + TakeVecZnx + ScratchAvailable + TakeVecZnxSlice,
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{
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match brk.dist {
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Distribution::BinaryBlock(_) | Distribution::BinaryFixed(_) | Distribution::BinaryProb(_) | Distribution::ZERO => {
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if lut.extension_factor() > 1 {
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cggi_blind_rotate_block_binary_extended(module, res, lwe, lut, brk, scratch);
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} else if brk.block_size() > 1 {
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cggi_blind_rotate_block_binary(module, res, lwe, lut, brk, scratch);
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} else {
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cggi_blind_rotate_binary_standard(module, res, lwe, lut, brk, scratch);
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}
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}
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// TODO: ternary distribution ?
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_ => panic!(
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"invalid BlindRotationKeyCGGI distribution: must be BinaryBlock, BinaryFixed or BinaryProb (or ZERO for debugging)"
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),
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}
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}
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pub(crate) fn cggi_blind_rotate_block_binary_extended<DataRes, DataIn, DataBrk, B: Backend>(
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module: &Module<B>,
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res: &mut GLWECiphertext<DataRes>,
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lwe: &LWECiphertext<DataIn>,
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lut: &LookUpTable,
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brk: &BlindRotationKeyCGGIExec<DataBrk, B>,
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scratch: &mut Scratch<B>,
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) where
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DataRes: DataMut,
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DataIn: DataRef,
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DataBrk: DataRef,
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Module<B>: CCGIBlindRotationFamily<B>,
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Scratch<B>: TakeVecZnxDftSlice<B> + TakeVecZnxDft<B> + TakeVecZnxBig<B> + TakeVecZnxSlice,
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{
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let n_glwe: usize = brk.n();
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let extension_factor: usize = lut.extension_factor();
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let basek: usize = res.basek();
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let rows: usize = brk.rows();
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let cols: usize = res.rank() + 1;
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let (mut acc, scratch1) = scratch.take_vec_znx_slice(extension_factor, n_glwe, cols, res.size());
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let (mut acc_dft, scratch2) = scratch1.take_vec_znx_dft_slice(extension_factor, n_glwe, cols, rows);
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let (mut vmp_res, scratch3) = scratch2.take_vec_znx_dft_slice(extension_factor, n_glwe, cols, brk.size());
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let (mut acc_add_dft, scratch4) = scratch3.take_vec_znx_dft_slice(extension_factor, n_glwe, cols, brk.size());
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let (mut vmp_xai, scratch5) = scratch4.take_vec_znx_dft(n_glwe, 1, brk.size());
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(0..extension_factor).for_each(|i| {
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acc[i].zero();
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});
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let x_pow_a: &Vec<SvpPPol<Vec<u8>, B>>;
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if let Some(b) = &brk.x_pow_a {
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x_pow_a = b
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} else {
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panic!("invalid key: x_pow_a has not been initialized")
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}
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let mut lwe_2n: Vec<i64> = vec![0i64; lwe.n() + 1]; // TODO: from scratch space
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let lwe_ref: LWECiphertext<&[u8]> = lwe.to_ref();
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let two_n: usize = 2 * n_glwe;
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let two_n_ext: usize = 2 * lut.domain_size();
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mod_switch_2n(two_n_ext, &mut lwe_2n, &lwe_ref, lut.rotation_direction());
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let a: &[i64] = &lwe_2n[1..];
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let b_pos: usize = ((lwe_2n[0] + two_n_ext as i64) & (two_n_ext - 1) as i64) as usize;
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let b_hi: usize = b_pos / extension_factor;
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let b_lo: usize = b_pos & (extension_factor - 1);
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for (i, j) in (0..b_lo).zip(extension_factor - b_lo..extension_factor) {
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module.vec_znx_rotate(b_hi as i64 + 1, &mut acc[i], 0, &lut.data[j], 0);
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}
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for (i, j) in (b_lo..extension_factor).zip(0..extension_factor - b_lo) {
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module.vec_znx_rotate(b_hi as i64, &mut acc[i], 0, &lut.data[j], 0);
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}
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let block_size: usize = brk.block_size();
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izip!(
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a.chunks_exact(block_size),
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brk.data.chunks_exact(block_size)
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)
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.for_each(|(ai, ski)| {
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(0..extension_factor).for_each(|i| {
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(0..cols).for_each(|j| {
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module.vec_znx_dft_from_vec_znx(1, 0, &mut acc_dft[i], j, &acc[i], j);
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});
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module.vec_znx_dft_zero(&mut acc_add_dft[i])
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});
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// TODO: first & last iterations can be optimized
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izip!(ai.iter(), ski.iter()).for_each(|(aii, skii)| {
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let ai_pos: usize = ((aii + two_n_ext as i64) & (two_n_ext - 1) as i64) as usize;
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let ai_hi: usize = ai_pos / extension_factor;
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let ai_lo: usize = ai_pos & (extension_factor - 1);
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// vmp_res = DFT(acc) * BRK[i]
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(0..extension_factor).for_each(|i| {
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module.vmp_apply(&mut vmp_res[i], &acc_dft[i], &skii.data, scratch5);
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});
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// Trivial case: no rotation between polynomials, we can directly multiply with (X^{-ai} - 1)
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if ai_lo == 0 {
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// Sets acc_add_dft[i] = (acc[i] * sk) * X^{-ai} - (acc[i] * sk)
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if ai_hi != 0 {
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// DFT X^{-ai}
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(0..extension_factor).for_each(|j| {
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(0..cols).for_each(|i| {
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module.svp_apply(&mut vmp_xai, 0, &x_pow_a[ai_hi], 0, &vmp_res[j], i);
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module.vec_znx_dft_add_inplace(&mut acc_add_dft[j], i, &vmp_xai, 0);
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module.vec_znx_dft_sub_ab_inplace(&mut acc_add_dft[j], i, &vmp_res[j], i);
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});
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});
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}
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// Non trivial case: rotation between polynomials
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// In this case we can't directly multiply with (X^{-ai} - 1) because of the
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// ring homomorphism R^{N} -> prod R^{N/extension_factor}, so we split the
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// computation in two steps: acc_add_dft = (acc * sk) * (-1) + (acc * sk) * X^{-ai}
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} else {
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// Sets acc_add_dft[0..ai_lo] += (acc[extension_factor - ai_lo..extension_factor] * sk) * X^{-ai+1}
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if (ai_hi + 1) & (two_n - 1) != 0 {
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for (i, j) in (0..ai_lo).zip(extension_factor - ai_lo..extension_factor) {
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(0..cols).for_each(|k| {
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module.svp_apply(&mut vmp_xai, 0, &x_pow_a[ai_hi + 1], 0, &vmp_res[j], k);
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module.vec_znx_dft_add_inplace(&mut acc_add_dft[i], k, &vmp_xai, 0);
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module.vec_znx_dft_sub_ab_inplace(&mut acc_add_dft[i], k, &vmp_res[i], k);
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});
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}
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}
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// Sets acc_add_dft[ai_lo..extension_factor] += (acc[0..extension_factor - ai_lo] * sk) * X^{-ai}
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if ai_hi != 0 {
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// Sets acc_add_dft[ai_lo..extension_factor] += (acc[0..extension_factor - ai_lo] * sk) * X^{-ai}
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for (i, j) in (ai_lo..extension_factor).zip(0..extension_factor - ai_lo) {
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(0..cols).for_each(|k| {
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module.svp_apply(&mut vmp_xai, 0, &x_pow_a[ai_hi], 0, &vmp_res[j], k);
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module.vec_znx_dft_add_inplace(&mut acc_add_dft[i], k, &vmp_xai, 0);
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module.vec_znx_dft_sub_ab_inplace(&mut acc_add_dft[i], k, &vmp_res[i], k);
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});
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}
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}
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}
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});
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{
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let (mut acc_add_big, scratch7) = scratch5.take_vec_znx_big(n_glwe, 1, brk.size());
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(0..extension_factor).for_each(|j| {
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(0..cols).for_each(|i| {
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module.vec_znx_dft_to_vec_znx_big(&mut acc_add_big, 0, &acc_add_dft[j], i, scratch7);
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module.vec_znx_big_add_small_inplace(&mut acc_add_big, 0, &acc[j], i);
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module.vec_znx_big_normalize(basek, &mut acc[j], i, &acc_add_big, 0, scratch7);
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});
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});
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}
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});
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(0..cols).for_each(|i| {
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module.vec_znx_copy(&mut res.data, i, &acc[0], i);
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});
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}
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pub(crate) fn cggi_blind_rotate_block_binary<DataRes, DataIn, DataBrk, B: Backend>(
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module: &Module<B>,
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res: &mut GLWECiphertext<DataRes>,
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lwe: &LWECiphertext<DataIn>,
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lut: &LookUpTable,
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brk: &BlindRotationKeyCGGIExec<DataBrk, B>,
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scratch: &mut Scratch<B>,
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) where
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DataRes: DataMut,
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DataIn: DataRef,
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DataBrk: DataRef,
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Module<B>: CCGIBlindRotationFamily<B>,
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Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B>,
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{
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let n_glwe: usize = brk.n();
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let mut lwe_2n: Vec<i64> = vec![0i64; lwe.n() + 1]; // TODO: from scratch space
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let mut out_mut: GLWECiphertext<&mut [u8]> = res.to_mut();
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let lwe_ref: LWECiphertext<&[u8]> = lwe.to_ref();
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let two_n: usize = n_glwe << 1;
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let basek: usize = brk.basek();
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let rows: usize = brk.rows();
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let cols: usize = out_mut.rank() + 1;
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mod_switch_2n(
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2 * lut.domain_size(),
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&mut lwe_2n,
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&lwe_ref,
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lut.rotation_direction(),
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);
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let a: &[i64] = &lwe_2n[1..];
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let b: i64 = lwe_2n[0];
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out_mut.data.zero();
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// Initialize out to X^{b} * LUT(X)
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module.vec_znx_rotate(b, &mut out_mut.data, 0, &lut.data[0], 0);
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let block_size: usize = brk.block_size();
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// ACC + [sum DFT(X^ai -1) * (DFT(ACC) x BRKi)]
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let (mut acc_dft, scratch1) = scratch.take_vec_znx_dft(n_glwe, cols, rows);
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let (mut vmp_res, scratch2) = scratch1.take_vec_znx_dft(n_glwe, cols, brk.size());
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let (mut acc_add_dft, scratch3) = scratch2.take_vec_znx_dft(n_glwe, cols, brk.size());
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let (mut vmp_xai, scratch4) = scratch3.take_vec_znx_dft(n_glwe, 1, brk.size());
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let x_pow_a: &Vec<SvpPPol<Vec<u8>, B>>;
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if let Some(b) = &brk.x_pow_a {
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x_pow_a = b
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} else {
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panic!("invalid key: x_pow_a has not been initialized")
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}
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izip!(
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a.chunks_exact(block_size),
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brk.data.chunks_exact(block_size)
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)
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.for_each(|(ai, ski)| {
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(0..cols).for_each(|j| {
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module.vec_znx_dft_from_vec_znx(1, 0, &mut acc_dft, j, &out_mut.data, j);
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});
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module.vec_znx_dft_zero(&mut acc_add_dft);
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izip!(ai.iter(), ski.iter()).for_each(|(aii, skii)| {
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let ai_pos: usize = ((aii + two_n as i64) & (two_n - 1) as i64) as usize;
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// vmp_res = DFT(acc) * BRK[i]
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module.vmp_apply(&mut vmp_res, &acc_dft, &skii.data, scratch4);
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// DFT(X^ai -1) * (DFT(acc) * BRK[i])
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(0..cols).for_each(|i| {
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module.svp_apply(&mut vmp_xai, 0, &x_pow_a[ai_pos], 0, &vmp_res, i);
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module.vec_znx_dft_add_inplace(&mut acc_add_dft, i, &vmp_xai, 0);
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module.vec_znx_dft_sub_ab_inplace(&mut acc_add_dft, i, &vmp_res, i);
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});
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});
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{
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let (mut acc_add_big, scratch5) = scratch4.take_vec_znx_big(n_glwe, 1, brk.size());
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(0..cols).for_each(|i| {
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module.vec_znx_dft_to_vec_znx_big(&mut acc_add_big, 0, &acc_add_dft, i, scratch5);
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module.vec_znx_big_add_small_inplace(&mut acc_add_big, 0, &out_mut.data, i);
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module.vec_znx_big_normalize(basek, &mut out_mut.data, i, &acc_add_big, 0, scratch5);
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});
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}
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});
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}
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|
||||
pub(crate) fn cggi_blind_rotate_binary_standard<DataRes, DataIn, DataBrk, B: Backend>(
|
||||
module: &Module<B>,
|
||||
res: &mut GLWECiphertext<DataRes>,
|
||||
lwe: &LWECiphertext<DataIn>,
|
||||
lut: &LookUpTable,
|
||||
brk: &BlindRotationKeyCGGIExec<DataBrk, B>,
|
||||
scratch: &mut Scratch<B>,
|
||||
) where
|
||||
DataRes: DataMut,
|
||||
DataIn: DataRef,
|
||||
DataBrk: DataRef,
|
||||
Module<B>: CCGIBlindRotationFamily<B>,
|
||||
Scratch<B>: TakeVecZnxDft<B> + TakeVecZnxBig<B> + TakeVecZnx + ScratchAvailable,
|
||||
{
|
||||
#[cfg(debug_assertions)]
|
||||
{
|
||||
assert_eq!(
|
||||
res.n(),
|
||||
brk.n(),
|
||||
"res.n(): {} != brk.n(): {}",
|
||||
res.n(),
|
||||
brk.n()
|
||||
);
|
||||
assert_eq!(
|
||||
lut.domain_size(),
|
||||
brk.n(),
|
||||
"lut.n(): {} != brk.n(): {}",
|
||||
lut.domain_size(),
|
||||
brk.n()
|
||||
);
|
||||
assert_eq!(
|
||||
res.rank(),
|
||||
brk.rank(),
|
||||
"res.rank(): {} != brk.rank(): {}",
|
||||
res.rank(),
|
||||
brk.rank()
|
||||
);
|
||||
assert_eq!(
|
||||
lwe.n(),
|
||||
brk.data.len(),
|
||||
"lwe.n(): {} != brk.data.len(): {}",
|
||||
lwe.n(),
|
||||
brk.data.len()
|
||||
);
|
||||
}
|
||||
|
||||
let mut lwe_2n: Vec<i64> = vec![0i64; lwe.n() + 1]; // TODO: from scratch space
|
||||
let mut out_mut: GLWECiphertext<&mut [u8]> = res.to_mut();
|
||||
let lwe_ref: LWECiphertext<&[u8]> = lwe.to_ref();
|
||||
let basek: usize = brk.basek();
|
||||
|
||||
mod_switch_2n(
|
||||
2 * lut.domain_size(),
|
||||
&mut lwe_2n,
|
||||
&lwe_ref,
|
||||
lut.rotation_direction(),
|
||||
);
|
||||
|
||||
let a: &[i64] = &lwe_2n[1..];
|
||||
let b: i64 = lwe_2n[0];
|
||||
|
||||
out_mut.data.zero();
|
||||
|
||||
// Initialize out to X^{b} * LUT(X)
|
||||
module.vec_znx_rotate(b, &mut out_mut.data, 0, &lut.data[0], 0);
|
||||
|
||||
// ACC + [sum DFT(X^ai -1) * (DFT(ACC) x BRKi)]
|
||||
let (mut acc_tmp, scratch1) = scratch.take_glwe_ct(out_mut.n(), basek, out_mut.k(), out_mut.rank());
|
||||
|
||||
// TODO: see if faster by skipping normalization in external product and keeping acc in big coeffs
|
||||
// TODO: first iteration can be optimized to be a gglwe product
|
||||
izip!(a.iter(), brk.data.iter()).for_each(|(ai, ski)| {
|
||||
// acc_tmp = sk[i] * acc
|
||||
acc_tmp.external_product(module, &out_mut, ski, scratch1);
|
||||
|
||||
// acc_tmp = (sk[i] * acc) * (X^{ai} - 1)
|
||||
acc_tmp.mul_xp_minus_one_inplace(module, *ai);
|
||||
|
||||
// acc = acc + (sk[i] * acc) * (X^{ai} - 1)
|
||||
out_mut.add_inplace(module, &acc_tmp);
|
||||
});
|
||||
|
||||
// We can normalize only at the end because we add normalized values in [-2^{basek-1}, 2^{basek-1}]
|
||||
// on top of each others, thus ~ 2^{63-basek} additions are supported before overflow.
|
||||
out_mut.normalize_inplace(module, scratch1);
|
||||
}
|
||||
|
||||
pub(crate) fn mod_switch_2n(n: usize, res: &mut [i64], lwe: &LWECiphertext<&[u8]>, rot_dir: LookUpTableRotationDirection) {
|
||||
let basek: usize = lwe.basek();
|
||||
|
||||
let log2n: usize = usize::BITS as usize - (n - 1).leading_zeros() as usize + 1;
|
||||
|
||||
res.copy_from_slice(&lwe.data.at(0, 0));
|
||||
|
||||
match rot_dir {
|
||||
LookUpTableRotationDirection::Left => {
|
||||
res.iter_mut().for_each(|x| *x = -*x);
|
||||
}
|
||||
LookUpTableRotationDirection::Right => {}
|
||||
}
|
||||
|
||||
if basek > log2n {
|
||||
let diff: usize = basek - log2n;
|
||||
res.iter_mut().for_each(|x| {
|
||||
*x = div_round_by_pow2(x, diff);
|
||||
})
|
||||
} else {
|
||||
let rem: usize = basek - (log2n % basek);
|
||||
let size: usize = log2n.div_ceil(basek);
|
||||
(1..size).for_each(|i| {
|
||||
if i == size - 1 && rem != basek {
|
||||
let k_rem: usize = basek - rem;
|
||||
izip!(lwe.data.at(0, i).iter(), res.iter_mut()).for_each(|(x, y)| {
|
||||
*y = (*y << k_rem) + (x >> rem);
|
||||
});
|
||||
} else {
|
||||
izip!(lwe.data.at(0, i).iter(), res.iter_mut()).for_each(|(x, y)| {
|
||||
*y = (*y << basek) + x;
|
||||
});
|
||||
}
|
||||
})
|
||||
}
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn div_round_by_pow2(x: &i64, k: usize) -> i64 {
|
||||
(x + (1 << (k - 1))) >> k
|
||||
}
|
||||
Reference in New Issue
Block a user