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poulpy/poulpy-schemes/src/tfhe/blind_rotation/cggi_algo.rs
poulpy-schemes/src/tfhe/blind_rotation/cggi_algo.rsRaw
  1use itertools::izip;
  2use poulpy_backend::hal::{
  3    api::{
  4        ScratchAvailable, SvpApply, SvpPPolAllocBytes, TakeVecZnx, TakeVecZnxBig, TakeVecZnxDft, TakeVecZnxDftSlice,
  5        TakeVecZnxSlice, VecZnxAddInplace, VecZnxBigAddSmallInplace, VecZnxBigAllocBytes, VecZnxBigNormalize,
  6        VecZnxBigNormalizeTmpBytes, VecZnxCopy, VecZnxDftAdd, VecZnxDftAddInplace, VecZnxDftAllocBytes, VecZnxDftFromVecZnx,
  7        VecZnxDftSubABInplace, VecZnxDftToVecZnxBig, VecZnxDftToVecZnxBigConsume, VecZnxDftToVecZnxBigTmpBytes, VecZnxDftZero,
  8        VecZnxMulXpMinusOneInplace, VecZnxNormalize, VecZnxNormalizeInplace, VecZnxNormalizeTmpBytes, VecZnxRotate,
  9        VecZnxSubABInplace, VmpApply, VmpApplyAdd, VmpApplyTmpBytes, ZnxView, ZnxZero,
 10    },
 11    layouts::{Backend, DataMut, DataRef, Module, Scratch, SvpPPol, VecZnx},
 12};
 13
 14use poulpy_core::{
 15    Distribution, GLWEOperations, TakeGLWECt,
 16    layouts::{GLWECiphertext, GLWECiphertextToMut, Infos, LWECiphertext, LWECiphertextToRef},
 17};
 18
 19use crate::tfhe::blind_rotation::{
 20    BlincRotationExecute, BlindRotationKeyPrepared, CGGI, LookUpTable, LookUpTableRotationDirection,
 21};
 22
 23#[allow(clippy::too_many_arguments)]
 24pub fn cggi_blind_rotate_scratch_space<B: Backend>(
 25    module: &Module<B>,
 26    n: usize,
 27    block_size: usize,
 28    extension_factor: usize,
 29    basek: usize,
 30    k_res: usize,
 31    k_brk: usize,
 32    rows: usize,
 33    rank: usize,
 34) -> usize
 35where
 36    Module<B>: VecZnxDftAllocBytes
 37        + VmpApplyTmpBytes
 38        + VecZnxNormalizeTmpBytes
 39        + VecZnxBigAllocBytes
 40        + VecZnxDftToVecZnxBigTmpBytes
 41        + VecZnxBigNormalizeTmpBytes,
 42{
 43    let brk_size: usize = k_brk.div_ceil(basek);
 44
 45    if block_size > 1 {
 46        let cols: usize = rank + 1;
 47        let acc_dft: usize = module.vec_znx_dft_alloc_bytes(n, cols, rows) * extension_factor;
 48        let acc_big: usize = module.vec_znx_big_alloc_bytes(n, 1, brk_size);
 49        let vmp_res: usize = module.vec_znx_dft_alloc_bytes(n, cols, brk_size) * extension_factor;
 50        let vmp_xai: usize = module.vec_znx_dft_alloc_bytes(n, 1, brk_size);
 51        let acc_dft_add: usize = vmp_res;
 52        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)
 53        let acc: usize = if extension_factor > 1 {
 54            VecZnx::alloc_bytes(n, cols, k_res.div_ceil(basek)) * extension_factor
 55        } else {
 56            0
 57        };
 58
 59        acc + acc_dft
 60            + acc_dft_add
 61            + vmp_res
 62            + vmp_xai
 63            + (vmp | (acc_big + (module.vec_znx_big_normalize_tmp_bytes(n) | module.vec_znx_dft_to_vec_znx_big_tmp_bytes(n))))
 64    } else {
 65        GLWECiphertext::bytes_of(n, basek, k_res, rank)
 66            + GLWECiphertext::external_product_scratch_space(module, n, basek, k_res, k_res, k_brk, 1, rank)
 67    }
 68}
 69
 70impl<D: DataRef, B: Backend> BlincRotationExecute<B> for BlindRotationKeyPrepared<D, CGGI, B>
 71where
 72    Module<B>: VecZnxBigAllocBytes
 73        + VecZnxDftAllocBytes
 74        + SvpPPolAllocBytes
 75        + VmpApplyTmpBytes
 76        + VecZnxBigNormalizeTmpBytes
 77        + VecZnxDftToVecZnxBigTmpBytes
 78        + VecZnxDftToVecZnxBig<B>
 79        + VecZnxDftAdd<B>
 80        + VecZnxDftAddInplace<B>
 81        + VecZnxDftFromVecZnx<B>
 82        + VecZnxDftZero<B>
 83        + SvpApply<B>
 84        + VecZnxDftSubABInplace<B>
 85        + VecZnxBigAddSmallInplace<B>
 86        + VecZnxRotate
 87        + VecZnxAddInplace
 88        + VecZnxSubABInplace
 89        + VecZnxNormalize<B>
 90        + VecZnxNormalizeInplace<B>
 91        + VecZnxCopy
 92        + VecZnxMulXpMinusOneInplace
 93        + VmpApply<B>
 94        + VmpApplyAdd<B>
 95        + VecZnxDftToVecZnxBigConsume<B>
 96        + VecZnxBigNormalize<B>
 97        + VecZnxNormalizeTmpBytes,
 98    Scratch<B>: TakeVecZnxDftSlice<B> + TakeVecZnxDft<B> + TakeVecZnxBig<B> + TakeVecZnxSlice + TakeVecZnx + ScratchAvailable,
 99{
100    fn execute<DR: DataMut, DI: DataRef>(
101        &self,
102        module: &Module<B>,
103        res: &mut GLWECiphertext<DR>,
104        lwe: &LWECiphertext<DI>,
105        lut: &LookUpTable,
106        scratch: &mut Scratch<B>,
107    ) {
108        match self.dist {
109            Distribution::BinaryBlock(_) | Distribution::BinaryFixed(_) | Distribution::BinaryProb(_) | Distribution::ZERO => {
110                if lut.extension_factor() > 1 {
111                    execute_block_binary_extended(module, res, lwe, lut, self, scratch)
112                } else if self.block_size() > 1 {
113                    execute_block_binary(module, res, lwe, lut, self, scratch);
114                } else {
115                    execute_standard(module, res, lwe, lut, self, scratch);
116                }
117            }
118            _ => panic!("invalid CGGI distribution"),
119        }
120    }
121}
122
123fn execute_block_binary_extended<DataRes, DataIn, DataBrk, B: Backend>(
124    module: &Module<B>,
125    res: &mut GLWECiphertext<DataRes>,
126    lwe: &LWECiphertext<DataIn>,
127    lut: &LookUpTable,
128    brk: &BlindRotationKeyPrepared<DataBrk, CGGI, B>,
129    scratch: &mut Scratch<B>,
130) where
131    DataRes: DataMut,
132    DataIn: DataRef,
133    DataBrk: DataRef,
134    Module<B>: VecZnxBigAllocBytes
135        + VecZnxDftAllocBytes
136        + SvpPPolAllocBytes
137        + VmpApplyTmpBytes
138        + VecZnxBigNormalizeTmpBytes
139        + VecZnxDftToVecZnxBigTmpBytes
140        + VecZnxDftToVecZnxBig<B>
141        + VecZnxDftAdd<B>
142        + VecZnxDftAddInplace<B>
143        + VecZnxDftFromVecZnx<B>
144        + VecZnxDftZero<B>
145        + SvpApply<B>
146        + VecZnxDftSubABInplace<B>
147        + VecZnxBigAddSmallInplace<B>
148        + VecZnxRotate
149        + VecZnxAddInplace
150        + VecZnxSubABInplace
151        + VecZnxNormalize<B>
152        + VecZnxNormalizeInplace<B>
153        + VecZnxCopy
154        + VecZnxMulXpMinusOneInplace
155        + VecZnxBigNormalize<B>
156        + VmpApply<B>,
157    Scratch<B>: TakeVecZnxDftSlice<B> + TakeVecZnxDft<B> + TakeVecZnxBig<B> + TakeVecZnxSlice + ScratchAvailable + TakeVecZnx,
158{
159    let n_glwe: usize = brk.n();
160    let extension_factor: usize = lut.extension_factor();
161    let basek: usize = res.basek();
162    let rows: usize = brk.rows();
163    let cols: usize = res.rank() + 1;
164
165    let (mut acc, scratch1) = scratch.take_vec_znx_slice(extension_factor, n_glwe, cols, res.size());
166    let (mut acc_dft, scratch2) = scratch1.take_vec_znx_dft_slice(extension_factor, n_glwe, cols, rows);
167    let (mut vmp_res, scratch3) = scratch2.take_vec_znx_dft_slice(extension_factor, n_glwe, cols, brk.size());
168    let (mut acc_add_dft, scratch4) = scratch3.take_vec_znx_dft_slice(extension_factor, n_glwe, cols, brk.size());
169    let (mut vmp_xai, scratch5) = scratch4.take_vec_znx_dft(n_glwe, 1, brk.size());
170
171    (0..extension_factor).for_each(|i| {
172        acc[i].zero();
173    });
174
175    let x_pow_a: &Vec<SvpPPol<Vec<u8>, B>>;
176    if let Some(b) = &brk.x_pow_a {
177        x_pow_a = b
178    } else {
179        panic!("invalid key: x_pow_a has not been initialized")
180    }
181
182    let mut lwe_2n: Vec<i64> = vec![0i64; lwe.n() + 1]; // TODO: from scratch space
183    let lwe_ref: LWECiphertext<&[u8]> = lwe.to_ref();
184
185    let two_n: usize = 2 * n_glwe;
186    let two_n_ext: usize = 2 * lut.domain_size();
187
188    mod_switch_2n(two_n_ext, &mut lwe_2n, &lwe_ref, lut.rotation_direction());
189
190    let a: &[i64] = &lwe_2n[1..];
191    let b_pos: usize = ((lwe_2n[0] + two_n_ext as i64) & (two_n_ext - 1) as i64) as usize;
192
193    let b_hi: usize = b_pos / extension_factor;
194    let b_lo: usize = b_pos & (extension_factor - 1);
195
196    for (i, j) in (0..b_lo).zip(extension_factor - b_lo..extension_factor) {
197        module.vec_znx_rotate(b_hi as i64 + 1, &mut acc[i], 0, &lut.data[j], 0);
198    }
199    for (i, j) in (b_lo..extension_factor).zip(0..extension_factor - b_lo) {
200        module.vec_znx_rotate(b_hi as i64, &mut acc[i], 0, &lut.data[j], 0);
201    }
202
203    let block_size: usize = brk.block_size();
204
205    izip!(
206        a.chunks_exact(block_size),
207        brk.data.chunks_exact(block_size)
208    )
209    .for_each(|(ai, ski)| {
210        (0..extension_factor).for_each(|i| {
211            (0..cols).for_each(|j| {
212                module.vec_znx_dft_from_vec_znx(1, 0, &mut acc_dft[i], j, &acc[i], j);
213            });
214            module.vec_znx_dft_zero(&mut acc_add_dft[i])
215        });
216
217        // TODO: first & last iterations can be optimized
218        izip!(ai.iter(), ski.iter()).for_each(|(aii, skii)| {
219            let ai_pos: usize = ((aii + two_n_ext as i64) & (two_n_ext - 1) as i64) as usize;
220            let ai_hi: usize = ai_pos / extension_factor;
221            let ai_lo: usize = ai_pos & (extension_factor - 1);
222
223            // vmp_res = DFT(acc) * BRK[i]
224            (0..extension_factor).for_each(|i| {
225                module.vmp_apply(&mut vmp_res[i], &acc_dft[i], skii.data(), scratch5);
226            });
227
228            // Trivial case: no rotation between polynomials, we can directly multiply with (X^{-ai} - 1)
229            if ai_lo == 0 {
230                // Sets acc_add_dft[i] = (acc[i] * sk) * X^{-ai} - (acc[i] * sk)
231                if ai_hi != 0 {
232                    // DFT X^{-ai}
233                    (0..extension_factor).for_each(|j| {
234                        (0..cols).for_each(|i| {
235                            module.svp_apply(&mut vmp_xai, 0, &x_pow_a[ai_hi], 0, &vmp_res[j], i);
236                            module.vec_znx_dft_add_inplace(&mut acc_add_dft[j], i, &vmp_xai, 0);
237                            module.vec_znx_dft_sub_ab_inplace(&mut acc_add_dft[j], i, &vmp_res[j], i);
238                        });
239                    });
240                }
241
242            // Non trivial case: rotation between polynomials
243            // In this case we can't directly multiply with (X^{-ai} - 1) because of the
244            // ring homomorphism R^{N} -> prod R^{N/extension_factor}, so we split the
245            // computation in two steps: acc_add_dft = (acc * sk) * (-1) + (acc * sk) * X^{-ai}
246            } else {
247                // Sets acc_add_dft[0..ai_lo] += (acc[extension_factor - ai_lo..extension_factor] * sk) * X^{-ai+1}
248                if (ai_hi + 1) & (two_n - 1) != 0 {
249                    for (i, j) in (0..ai_lo).zip(extension_factor - ai_lo..extension_factor) {
250                        (0..cols).for_each(|k| {
251                            module.svp_apply(&mut vmp_xai, 0, &x_pow_a[ai_hi + 1], 0, &vmp_res[j], k);
252                            module.vec_znx_dft_add_inplace(&mut acc_add_dft[i], k, &vmp_xai, 0);
253                            module.vec_znx_dft_sub_ab_inplace(&mut acc_add_dft[i], k, &vmp_res[i], k);
254                        });
255                    }
256                }
257
258                // Sets acc_add_dft[ai_lo..extension_factor] += (acc[0..extension_factor - ai_lo] * sk) * X^{-ai}
259                if ai_hi != 0 {
260                    // Sets acc_add_dft[ai_lo..extension_factor] += (acc[0..extension_factor - ai_lo] * sk) * X^{-ai}
261                    for (i, j) in (ai_lo..extension_factor).zip(0..extension_factor - ai_lo) {
262                        (0..cols).for_each(|k| {
263                            module.svp_apply(&mut vmp_xai, 0, &x_pow_a[ai_hi], 0, &vmp_res[j], k);
264                            module.vec_znx_dft_add_inplace(&mut acc_add_dft[i], k, &vmp_xai, 0);
265                            module.vec_znx_dft_sub_ab_inplace(&mut acc_add_dft[i], k, &vmp_res[i], k);
266                        });
267                    }
268                }
269            }
270        });
271
272        {
273            let (mut acc_add_big, scratch7) = scratch5.take_vec_znx_big(n_glwe, 1, brk.size());
274
275            (0..extension_factor).for_each(|j| {
276                (0..cols).for_each(|i| {
277                    module.vec_znx_dft_to_vec_znx_big(&mut acc_add_big, 0, &acc_add_dft[j], i, scratch7);
278                    module.vec_znx_big_add_small_inplace(&mut acc_add_big, 0, &acc[j], i);
279                    module.vec_znx_big_normalize(basek, &mut acc[j], i, &acc_add_big, 0, scratch7);
280                });
281            });
282        }
283    });
284
285    (0..cols).for_each(|i| {
286        module.vec_znx_copy(&mut res.data, i, &acc[0], i);
287    });
288}
289
290fn execute_block_binary<DataRes, DataIn, DataBrk, B: Backend>(
291    module: &Module<B>,
292    res: &mut GLWECiphertext<DataRes>,
293    lwe: &LWECiphertext<DataIn>,
294    lut: &LookUpTable,
295    brk: &BlindRotationKeyPrepared<DataBrk, CGGI, B>,
296    scratch: &mut Scratch<B>,
297) where
298    DataRes: DataMut,
299    DataIn: DataRef,
300    DataBrk: DataRef,
301    Module<B>: VecZnxBigAllocBytes
302        + VecZnxDftAllocBytes
303        + SvpPPolAllocBytes
304        + VmpApplyTmpBytes
305        + VecZnxBigNormalizeTmpBytes
306        + VecZnxDftToVecZnxBigTmpBytes
307        + VecZnxDftToVecZnxBig<B>
308        + VecZnxDftAdd<B>
309        + VecZnxDftAddInplace<B>
310        + VecZnxDftFromVecZnx<B>
311        + VecZnxDftZero<B>
312        + SvpApply<B>
313        + VecZnxDftSubABInplace<B>
314        + VecZnxBigAddSmallInplace<B>
315        + VecZnxRotate
316        + VecZnxAddInplace
317        + VecZnxSubABInplace
318        + VecZnxNormalize<B>
319        + VecZnxNormalizeInplace<B>
320        + VecZnxCopy
321        + VecZnxMulXpMinusOneInplace
322        + VmpApply<B>
323        + VecZnxBigNormalize<B>,
324    Scratch<B>: TakeVecZnxDftSlice<B> + TakeVecZnxDft<B> + TakeVecZnxBig<B> + TakeVecZnxSlice + ScratchAvailable + TakeVecZnx,
325{
326    let n_glwe: usize = brk.n();
327    let mut lwe_2n: Vec<i64> = vec![0i64; lwe.n() + 1]; // TODO: from scratch space
328    let mut out_mut: GLWECiphertext<&mut [u8]> = res.to_mut();
329    let lwe_ref: LWECiphertext<&[u8]> = lwe.to_ref();
330    let two_n: usize = n_glwe << 1;
331    let basek: usize = brk.basek();
332    let rows: usize = brk.rows();
333
334    let cols: usize = out_mut.rank() + 1;
335
336    mod_switch_2n(
337        2 * lut.domain_size(),
338        &mut lwe_2n,
339        &lwe_ref,
340        lut.rotation_direction(),
341    );
342
343    let a: &[i64] = &lwe_2n[1..];
344    let b: i64 = lwe_2n[0];
345
346    out_mut.data.zero();
347
348    // Initialize out to X^{b} * LUT(X)
349    module.vec_znx_rotate(b, &mut out_mut.data, 0, &lut.data[0], 0);
350
351    let block_size: usize = brk.block_size();
352
353    // ACC + [sum DFT(X^ai -1) * (DFT(ACC) x BRKi)]
354
355    let (mut acc_dft, scratch1) = scratch.take_vec_znx_dft(n_glwe, cols, rows);
356    let (mut vmp_res, scratch2) = scratch1.take_vec_znx_dft(n_glwe, cols, brk.size());
357    let (mut acc_add_dft, scratch3) = scratch2.take_vec_znx_dft(n_glwe, cols, brk.size());
358    let (mut vmp_xai, scratch4) = scratch3.take_vec_znx_dft(n_glwe, 1, brk.size());
359
360    let x_pow_a: &Vec<SvpPPol<Vec<u8>, B>>;
361    if let Some(b) = &brk.x_pow_a {
362        x_pow_a = b
363    } else {
364        panic!("invalid key: x_pow_a has not been initialized")
365    }
366
367    izip!(
368        a.chunks_exact(block_size),
369        brk.data.chunks_exact(block_size)
370    )
371    .for_each(|(ai, ski)| {
372        (0..cols).for_each(|j| {
373            module.vec_znx_dft_from_vec_znx(1, 0, &mut acc_dft, j, &out_mut.data, j);
374        });
375
376        module.vec_znx_dft_zero(&mut acc_add_dft);
377
378        izip!(ai.iter(), ski.iter()).for_each(|(aii, skii)| {
379            let ai_pos: usize = ((aii + two_n as i64) & (two_n - 1) as i64) as usize;
380
381            // vmp_res = DFT(acc) * BRK[i]
382            module.vmp_apply(&mut vmp_res, &acc_dft, skii.data(), scratch4);
383
384            // DFT(X^ai -1) * (DFT(acc) * BRK[i])
385            (0..cols).for_each(|i| {
386                module.svp_apply(&mut vmp_xai, 0, &x_pow_a[ai_pos], 0, &vmp_res, i);
387                module.vec_znx_dft_add_inplace(&mut acc_add_dft, i, &vmp_xai, 0);
388                module.vec_znx_dft_sub_ab_inplace(&mut acc_add_dft, i, &vmp_res, i);
389            });
390        });
391
392        {
393            let (mut acc_add_big, scratch5) = scratch4.take_vec_znx_big(n_glwe, 1, brk.size());
394
395            (0..cols).for_each(|i| {
396                module.vec_znx_dft_to_vec_znx_big(&mut acc_add_big, 0, &acc_add_dft, i, scratch5);
397                module.vec_znx_big_add_small_inplace(&mut acc_add_big, 0, &out_mut.data, i);
398                module.vec_znx_big_normalize(basek, &mut out_mut.data, i, &acc_add_big, 0, scratch5);
399            });
400        }
401    });
402}
403
404fn execute_standard<DataRes, DataIn, DataBrk, B: Backend>(
405    module: &Module<B>,
406    res: &mut GLWECiphertext<DataRes>,
407    lwe: &LWECiphertext<DataIn>,
408    lut: &LookUpTable,
409    brk: &BlindRotationKeyPrepared<DataBrk, CGGI, B>,
410    scratch: &mut Scratch<B>,
411) where
412    DataRes: DataMut,
413    DataIn: DataRef,
414    DataBrk: DataRef,
415    Module<B>: VecZnxBigAllocBytes
416        + VecZnxDftAllocBytes
417        + SvpPPolAllocBytes
418        + VmpApplyTmpBytes
419        + VecZnxBigNormalizeTmpBytes
420        + VecZnxDftToVecZnxBigTmpBytes
421        + VecZnxDftToVecZnxBig<B>
422        + VecZnxDftAdd<B>
423        + VecZnxDftAddInplace<B>
424        + VecZnxDftFromVecZnx<B>
425        + VecZnxDftZero<B>
426        + SvpApply<B>
427        + VecZnxDftSubABInplace<B>
428        + VecZnxBigAddSmallInplace<B>
429        + VecZnxRotate
430        + VecZnxAddInplace
431        + VecZnxSubABInplace
432        + VecZnxNormalize<B>
433        + VecZnxNormalizeInplace<B>
434        + VecZnxCopy
435        + VecZnxMulXpMinusOneInplace
436        + VmpApply<B>
437        + VmpApplyAdd<B>
438        + VecZnxDftToVecZnxBigConsume<B>
439        + VecZnxBigNormalize<B>
440        + VecZnxNormalizeTmpBytes,
441    Scratch<B>: TakeVecZnxDftSlice<B> + TakeVecZnxDft<B> + TakeVecZnxBig<B> + TakeVecZnxSlice + ScratchAvailable + TakeVecZnx,
442{
443    #[cfg(debug_assertions)]
444    {
445        assert_eq!(
446            res.n(),
447            brk.n(),
448            "res.n(): {} != brk.n(): {}",
449            res.n(),
450            brk.n()
451        );
452        assert_eq!(
453            lut.domain_size(),
454            brk.n(),
455            "lut.n(): {} != brk.n(): {}",
456            lut.domain_size(),
457            brk.n()
458        );
459        assert_eq!(
460            res.rank(),
461            brk.rank(),
462            "res.rank(): {} != brk.rank(): {}",
463            res.rank(),
464            brk.rank()
465        );
466        assert_eq!(
467            lwe.n(),
468            brk.data.len(),
469            "lwe.n(): {} != brk.data.len(): {}",
470            lwe.n(),
471            brk.data.len()
472        );
473    }
474
475    let mut lwe_2n: Vec<i64> = vec![0i64; lwe.n() + 1]; // TODO: from scratch space
476    let mut out_mut: GLWECiphertext<&mut [u8]> = res.to_mut();
477    let lwe_ref: LWECiphertext<&[u8]> = lwe.to_ref();
478    let basek: usize = brk.basek();
479
480    mod_switch_2n(
481        2 * lut.domain_size(),
482        &mut lwe_2n,
483        &lwe_ref,
484        lut.rotation_direction(),
485    );
486
487    let a: &[i64] = &lwe_2n[1..];
488    let b: i64 = lwe_2n[0];
489
490    out_mut.data.zero();
491
492    // Initialize out to X^{b} * LUT(X)
493    module.vec_znx_rotate(b, &mut out_mut.data, 0, &lut.data[0], 0);
494
495    // ACC + [sum DFT(X^ai -1) * (DFT(ACC) x BRKi)]
496    let (mut acc_tmp, scratch1) = scratch.take_glwe_ct(out_mut.n(), basek, out_mut.k(), out_mut.rank());
497
498    // TODO: see if faster by skipping normalization in external product and keeping acc in big coeffs
499    // TODO: first iteration can be optimized to be a gglwe product
500    izip!(a.iter(), brk.data.iter()).for_each(|(ai, ski)| {
501        // acc_tmp = sk[i] * acc
502        acc_tmp.external_product(module, &out_mut, ski, scratch1);
503
504        // acc_tmp = (sk[i] * acc) * (X^{ai} - 1)
505        acc_tmp.mul_xp_minus_one_inplace(module, *ai);
506
507        // acc = acc + (sk[i] * acc) * (X^{ai} - 1)
508        out_mut.add_inplace(module, &acc_tmp);
509    });
510
511    // We can normalize only at the end because we add normalized values in [-2^{basek-1}, 2^{basek-1}]
512    // on top of each others, thus ~ 2^{63-basek} additions are supported before overflow.
513    out_mut.normalize_inplace(module, scratch1);
514}
515
516pub(crate) fn mod_switch_2n(n: usize, res: &mut [i64], lwe: &LWECiphertext<&[u8]>, rot_dir: LookUpTableRotationDirection) {
517    let basek: usize = lwe.basek();
518
519    let log2n: usize = usize::BITS as usize - (n - 1).leading_zeros() as usize + 1;
520
521    res.copy_from_slice(lwe.data().at(0, 0));
522
523    match rot_dir {
524        LookUpTableRotationDirection::Left => {
525            res.iter_mut().for_each(|x| *x = -*x);
526        }
527        LookUpTableRotationDirection::Right => {}
528    }
529
530    if basek > log2n {
531        let diff: usize = basek - (log2n - 1); // additional -1 because we map to [-N/2, N/2) instead of [0, N)
532        res.iter_mut().for_each(|x| {
533            *x = div_round_by_pow2(x, diff);
534        })
535    } else {
536        let rem: usize = basek - (log2n % basek);
537        let size: usize = log2n.div_ceil(basek);
538        (1..size).for_each(|i| {
539            if i == size - 1 && rem != basek {
540                let k_rem: usize = basek - rem;
541                izip!(lwe.data().at(0, i).iter(), res.iter_mut()).for_each(|(x, y)| {
542                    *y = (*y << k_rem) + (x >> rem);
543                });
544            } else {
545                izip!(lwe.data().at(0, i).iter(), res.iter_mut()).for_each(|(x, y)| {
546                    *y = (*y << basek) + x;
547                });
548            }
549        })
550    }
551}
552
553#[inline(always)]
554fn div_round_by_pow2(x: &i64, k: usize) -> i64 {
555    (x + (1 << (k - 1))) >> k
556}